out := [[[1, 4, 5, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0)
, And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1, 4, 5, 5,
2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536]
, [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[1, 4, 5, 5, 3], [v < -2^(1/2),
u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 4, 5, 5, 4], [v < -2^(1/2),
u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [1/
4, 1/4], [1/2, 1/2]]]], [[1, 4, 5, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [
[1, 6, 5, 1, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3, -3], [-3, -3]]]
], [[1, 6, 5, 1, 2], [v < -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, z = -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3, -3], [-\
3315889/2097152, -207243/131072]]]], [[1, 6, 5, 1, 3], [v < -2^(1/2), u = v, 
And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3, -3], [0, 0]]]], [[1, 6, 5
, 1, 4], [v < -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[1, 6, 5, 1, 5], [v < -2^(1/2), u = v, And(0 < x,x < 1),
y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2],
[-3, -3], [3, 3]]]], [[1, 12, 1, 6, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x <
-3, y = -x, z < 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096],
[-4, -4], [4, 4], [-1, -1]]]], [[1, 12, 1, 6, 2], [v < -2^(1/2), u = (v^2-2)^(
1/2), x < -3, y = -x, z = 0], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-4, -4], [4, 4], [0, 0]]]], [[1, 12, 1, 6, 3], [v < -2^(1/2), u
= (v^2-2)^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-4, -4], [4, 4], [1, 1]]]], [[1, 13, 10, 2, 1], [v < -2
^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [1, 1], [-7357529/2097152, -919691/262144], [-3, -3]]]], [[1, 13, 10, 2, 2]
, [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-\
2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [1, 1], [-7357529/2097152, -919691/262144], [-3321417/2097152
, -415177/262144]]]], [[1, 13, 10, 2, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [1, 1], [-7357529/2097152, -919691/262144], [0, 0]]]], [[1, 13, 10, 2, 4], [
v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [1, 1], [-7357529/2097152, -919691/262144], [415177/262144, 1660709/
1048576]]]], [[1, 13, 10, 2, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [1, 1], [-7357529/2097152, -919691/
262144], [3, 3]]]], [[1, 17, 10, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [1, 1], [-5256689/4194304, -5256689
/4194304], [-2, -2]]]], [[1, 17, 10, 5, 2], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-5256689/
4194304, -5256689/4194304], [-527729/1048576, -1055457/2097152]]]], [[1, 17, 
10, 5, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [1, 1], [-5256689/4194304, -5256689/
4194304], [-1/4194304, -1/4194304]]]], [[1, 17, 10, 5, 4], [v < -2^(1/2), And(
-v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-5256689
/4194304, -5256689/4194304], [32983/65536, 527729/1048576]]]], [[1, 17, 10, 5,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y <
-1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1, 1], [-5256689/4194304, -5256689/4194304], [2, 2]]]], [[1, 19, 9,
8, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1
< x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [1566621/2097152, 1566621/2097152], [0, 0], [0, 0]]]], [[2,
3, 10, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [1, 1], [0, 0]]]], [[2, 5, 10, 3, 1], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), x = 1, And(-u^2 < y,y < u^2-4), z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2, -2], [-2, -2]]]], [[2, 5, 10, 3, 2], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), x = 1, And(-u^2 < y,y < u^2-4), z = -(-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2, -2], [-1, -1]]]], [[2, 5, 10, 3, 3], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), x = 1, And(-u^2 < y,y < u^2-4), And(-(-y-1)^(1/2
) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [1, 1], [-2, -2], [0, 0]]]], [[2, 5, 10,
3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(-u^2 < y,y < u^2-4),
z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-2, -2], [1, 1]]]], [[2, 5, 10, 3
, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(-u^2 < y,y < u^2-4),
(-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-2, -2], [2, 2]]]], [[2, 5, 10, 4
, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = u^2-4, z < -(-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [1, 1], [-799673/524288, -3198691/2097152], [-2, -2]]]],
[[2, 5, 10, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = u^2-4, z
= -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-799673/524288, -3198691/2097152]
, [-379975/524288, -1519899/2097152]]]], [[2, 5, 10, 4, 3], [v = -2^(1/2), And
(-3^(1/2) < u,u < v), x = 1, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [1, 1], [-799673/524288, -3198691/2097152], [-1/4194304,
-1/4194304]]]], [[2, 5, 10, 4, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x =
1, y = u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-6598195/4194304, -6598195/4194304], [1, 1], [-799673/524288, -\
3198691/2097152], [759949/1048576, 379975/524288]]]], [[2, 5, 10, 4, 5], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = u^2-4, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-799673/524288, -3198691/2097152], [2, 2]]]], [[2,
7, 11, 3, 1], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And(u^2-x-3 < y,y < -u^
2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[2, 7
, 11, 3, 2], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And(u^2-x-3 < y,y < -u^2
-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[2, 7,
11, 3, 3], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And(u^2-x-3 < y,y < -u^2-x
+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -\
3], [0, 0]]]], [[2, 7, 11, 3, 4], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And
(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -\
3], [1, 1]]]], [[2, 7, 11, 3, 5], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And
(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -\
3], [2, 2]]]], [[2, 13, 7, 4, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1
< x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [-29957/131072, -239655/1048576], [-2, -2]]]], [[2, 13, 7,
4, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = -u^2-x+1,
z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-29957
/131072, -239655/1048576], [-1417877/2097152, -354469/524288]]]], [[2, 13, 7,
4, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = -u^2-x+1,
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [-29957/131072, -239655/1048576], [0, 0]]]], [[2, 13, 7, 4, 4
], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = -u^2-x+1, z =
(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072,
-239655/1048576], [354469/524288, 708939/1048576]]]], [[2, 13, 7, 4, 5], [v =
-2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576,
1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072, -239655/
1048576], [2, 2]]]], [[2, 15, 8, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x = 0, And(-u^2+1 < y,y < u^2-3), z < -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0],
[-4194303/4194304, -4194303/4194304], [-2, -2]]]], [[2, 15, 8, 3, 2], [v = -2^
(1/2), And(-v < u,u < 3^(1/2)), x = 0, And(-u^2+1 < y,y < u^2-3), z = -(-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [0, 0], [-4194303/4194304, -4194303/4194304], [-8388607/
8388608, -4398045986815/4398046511104]]]], [[2, 15, 8, 3, 3], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), x = 0, And(-u^2+1 < y,y < u^2-3), And(-(-y)^(1/2) < z
,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [0, 0], [-4194303/4194304, -4194303/4194304
], [-3670015/8796093022208, -3670015/8796093022208]]]], [[2, 15, 8, 3, 4], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, And(-u^2+1 < y,y < u^2-3), z = (-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [0, 0], [-4194303/4194304, -4194303/4194304], [
1048575/1048576, 1]]]], [[2, 15, 8, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/
2)), x = 0, And(-u^2+1 < y,y < u^2-3), (-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0],
[-4194303/4194304, -4194303/4194304], [2, 2]]]], [[2, 19, 5, 1, 1], [v = -2^(1
/2), 2 < u, And(-1 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-9,
-9], [-5, -5]]]], [[2, 19, 5, 1, 2], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0),
y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1/2, -1/2], [-9, -9], [-3231929/1048576, -403991/131072]]]]
, [[2, 19, 5, 1, 3], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y < -u^2-x+1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [-1/2, -1/2], [-9, -9], [0, 0]]]], [[2, 19, 5, 1, 4],
[v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-9,
-9], [403991/131072, 3231929/1048576]]]], [[2, 19, 5, 1, 5], [v = -2^(1/2), 2
< u, And(-1 < x,x < 0), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-9, -9], [5, 5]]]], [
[3, 1, 11, 4, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x
, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [8, 8], [-8, -8], [-1, -1]]]], [[3, 1, 11, 4, 2], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-8, -8], [0, 0]]]], [[3
, 1, 11, 4, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x,
y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3
], [8, 8], [-8, -8], [1, 1]]]], [[3, 7, 9, 3, 1], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+
v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-25165823/
16777216, -25165823/16777216], [-2, -2]]]], [[3, 7, 9, 3, 2], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-25165823
/16777216, -25165823/16777216], [-33554431/33554432, -17592185520127/
17592186044416]]]], [[3, 7, 9, 3, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-25165823
/16777216, -25165823/16777216], [-16252927/35184372088832, -16252927/
35184372088832]]]], [[3, 7, 9, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z =
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [-25165823/16777216, -25165823
/16777216], [1048575/1048576, 1]]]], [[3, 7, 9, 3, 5], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -
u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-25165823/
16777216, -25165823/16777216], [2, 2]]]], [[3, 9, 8, 4, 1], [And(-2^(1/2) < v,
v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^
2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
239655/524288, 479311/1048576], [-479311/1048576, -239655/524288], [-1, -1]]]]
, [[3, 9, 8, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2
-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-479311/
1048576, -239655/524288], [0, 0]]]], [[3, 9, 8, 4, 3], [And(-2^(1/2) < v,v < -\
1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1,
0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655
/524288, 479311/1048576], [-479311/1048576, -239655/524288], [1, 1]]]], [[3, 
17, 5, 5, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3, 17, 5, 5
, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[3, 17, 5, 5, 3]
, [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3,
17, 5, 5, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[3, 17, 5,
5, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[4, 1, 11, 8, 1], [v =
-1, u < -3^(1/2), u^2-2 < x, y = 0, z = z], [regular_chain, [[-1, -1], [-3, -3
], [8, 8], [0, 0], [0, 0]]]], [[4, 7, 9, 5, 1], [v = -1, And(-1 < u,u < 0), 
And(0 < x,x < 1), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-5/8, -5/8], [-2, -2]]]], [[4, 7, 9, 5,
2], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), And(-u^2-x < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-5/8, -5
/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 9, 5, 3], [v = -1, And(-1 <
u,u < 0), And(0 < x,x < 1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-5/8, -5
/8], [0, 0]]]], [[4, 7, 9, 5, 4], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1)
, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2,
-1/2], [1/2, 1/2], [-5/8, -5/8], [370727/1048576, 46341/131072]]]], [[4, 7, 9,
5, 5], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), And(-u^2-x < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-5/8,
-5/8], [2, 2]]]], [[4, 9, 8, 6, 1], [v = -1, And(0 < u,u < 1), x = 0, y = 0, z
< 0], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[4,
9, 8, 6, 2], [v = -1, And(0 < u,u < 1), x = 0, y = 0, z = 0], [regular_chain,
[[-1, -1], [1/2, 1/2], [0, 0], [0, 0], [0, 0]]]], [[4, 9, 8, 6, 3], [v = -1, 
And(0 < u,u < 1), x = 0, y = 0, 0 < z], [regular_chain, [[-1, -1], [1/2, 1/2],
[0, 0], [0, 0], [1, 1]]]], [[4, 13, 9, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(
1/2)), And(u^2-2 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-773191/
1048576, -773191/1048576], [-1, -1]]]], [[4, 13, 9, 4, 2], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1
, -1], [3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [
-773191/1048576, -773191/1048576], [0, 0]]]], [[4, 13, 9, 4, 3], [v = -1, And(
2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = -x, 0 < z], [regular_chain
, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/1048576, 773191/
1048576], [-773191/1048576, -773191/1048576], [1, 1]]]], [[4, 15, 6, 5, 1], [v
= -1, 3^(1/2) < u, x = 0, And(0 < y,y < u^2-2), z = z], [regular_chain, [[-1,
-1], [3, 3], [0, 0], [7/2, 7/2], [0, 0]]]], [[5, 5, 9, 6, 1], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2]
, [-1/2, -1/2], [-1, -1]]]], [[5, 5, 9, 6, 2], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]
]], [[5, 5, 9, 6, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0
< x,x < 1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[5, 7, 10, 5, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -
(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-11/8, -11/8],
[-2, -2]]]], [[5, 7, 10, 5, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1,
And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [1, 1], [-11/8, -11/8], [-1284239/2097152, -642119/1048576]]]], [[5, 7
, 10, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, And(-u^2+v^2-2 < y,
y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/
2], [0, 0], [1, 1], [-11/8, -11/8], [0, 0]]]], [[5, 7, 10, 5, 4], [And(-1 < v,
v < 0), And(v < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-11/8, -11/8], [642119/
1048576, 80265/131072]]]], [[5, 7, 10, 5, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [
[-1/2, -1/2], [0, 0], [1, 1], [-11/8, -11/8], [2, 2]]]], [[5, 7, 10, 8, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = 0, z = z], [regular_chain, [[
-1/2, -1/2], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[5, 9, 11, 7, 1], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-1,
-1], [0, 0]]]], [[6, 2, 3, 6, 1], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y
= -x, z < 0], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2
, -2], [2, 2], [-1, -1]]]], [[6, 2, 3, 6, 2], [v = 0, u = -2^(1/2), And(-3 < x
,x < -1), y = -x, z = 0], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-2, -2], [2, 2], [0, 0]]]], [[6, 2, 3, 6, 3], [v = 0, u = -2^(1/2),
And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[0, 0], [-1482911/1048576
, -741455/524288], [-2, -2], [2, 2], [1, 1]]]], [[6, 3, 11, 9, 1], [v = 0, And
(-2^(1/2) < u,u < -1), 1 < x, 0 < y, z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[6, 8, 1, 5, 1
], [v = 0, u = 1, x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [2, 2], [-2, -2]]]], [[6, 8, 1, 5, 2
], [v = 0, u = 1, x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [2, 2], [-1, -1]]]], [[6, 8, 1, 5, 3
], [v = 0, u = 1, x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3, -3], [2, 2], [0, 0]]]], [[6,
8, 1, 5, 4], [v = 0, u = 1, x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [2, 2], [1, 1]]]], [[6, 8, 1, 5, 5],
[v = 0, u = 1, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[0, 0], [1, 1], [-3, -3], [2, 2], [2, 2]]]], [[6, 9, 11, 8, 1], [v = 0, And
(1 < u,u < 2^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[7, 4, 1, 7, 1], [And(0
< v,v < 1), u = -(v^2+1)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[1/2,
1/2], [-146543/131072, -1172343/1048576], [-3, -3], [4, 4], [0, 0]]]], [[7, 6,
1, 1, 1], [And(0 < v,v < 1), u = -v, x < -1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-1, -1], [-3, -3]]]], [[7
, 6, 1, 1, 2], [And(0 < v,v < 1), u = -v, x < -1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[7, 6, 1, 1, 3], [And(0 < v,v < 1), u = -v, x
< -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2,
1/2], [-1/2, -1/2], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[7, 6, 1
, 1, 4], [And(0 < v,v < 1), u = -v, x < -1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-1, -1], [908093/524288,
1816187/1048576]]]], [[7, 6, 1, 1, 5], [And(0 < v,v < 1), u = -v, x < -1, y <
0, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [-1
, -1], [3, 3]]]], [[7, 13, 11, 2, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^
2-v^2-1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [3, 3], [9, 9], [-75/4, -75/4], [-5, -5]]]], [[7, 13, 11, 2, 2], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-75/4, -75/4], [-\
1637089/524288, -3274177/1048576]]]], [[7, 13, 11, 2, 3], [And(0 < v,v < 1), (
v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-75/4,
-75/4], [0, 0]]]], [[7, 13, 11, 2, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u
^2-v^2-1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [3, 3], [9, 9], [-75/4, -75/4], [3274177/1048576, 1637089/524288]]]], [[
7, 13, 11, 2, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^
2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9]
, [-75/4, -75/4], [5, 5]]]], [[8, 2, 5, 8, 1], [v = 1, u = -3^(1/2), And(-1 <
x,x < 0), y = 1-x, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[8, 8, 5, 1, 1], [v =
1, u = 0, And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [0, 0], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[8, 8, 5, 1, 2], [v = 1, u
= 0, And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[0, 0], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[8, 8,
5, 1, 3], [v = 1, u = 0, And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3, -3], [0,
0]]]], [[8, 8, 5, 1, 4], [v = 1, u = 0, And(-1 < x,x < 0), y < -x-2, z = (-x-y
)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[8, 8, 5, 1, 5], [v = 1, u = 0, And(-1 < x,x < 0
), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2],
[-3, -3], [3, 3]]]], [[8, 10, 3, 5, 1], [v = 1, u = 1, And(-1 < x,x < 0), And(
0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/
2], [1/4, 1/4], [-2, -2]]]], [[8, 10, 3, 5, 2], [v = 1, u = 1, And(-1 < x,x <
0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-\
1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[8, 10, 3, 5, 3], [v = 1, u = 1, And
(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[8, 10,
3, 5, 4], [v = 1, u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]],
[[8, 10, 3, 5, 5], [v = 1, u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [2, 2]
]]], [[8, 14, 3, 8, 1], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), y = 1-x, z =
z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [3, 3
], [0, 0]]]], [[8, 15, 11, 7, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, And(u^2-x-2
< y,y < 0), z = z], [regular_chain, [[1, 1], [3, 3], [8, 8], [-1/2, -1/2], [0,
0]]]], [[9, 6, 5, 4, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y
= -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 6, 5,
4, 2], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 6, 5, 4, 3], [And(
1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/
2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 8, 5, 6, 1], [And(1 < v,v < 2^(1/2)), u
= -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2],
[1/2, 1/2], [-1, -1]]]], [[9, 8, 5, 6, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-\
1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [1/2, 1/
2], [0, 0]]]], [[9, 8, 5, 6, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]
]]], [[9, 8, 6, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y =
0, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [0, 0], [0, 0], [-1, -1]]]], [[9, 8, 6, 4, 2], [And(
1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y = 0, z = 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0
], [0, 0], [0, 0]]]], [[9, 8, 6, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^
(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [0, 0], [0, 0], [1, 1]]]], [[9,
10, 5, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y
< -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [354469/524288, 708939/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[9,
10, 5, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y
< -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [354469/524288, 708939/1048576], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[9, 10, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1
/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[9, 10, 5, 1, 4], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[9, 10
, 5, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y <
-x-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[9, 16, 4
, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0)
, z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[9, 16, 4, 3
, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z
= -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288
]]]], [[9, 16, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, 
And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[-1, -1], [0, 0]]]], [[9, 16, 4, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-1, -1]
, [741455/524288, 1482911/1048576]]]], [[9, 16, 4, 3, 5], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [-1, -1], [3, 3]]]], [[10, 1, 1, 2, 1], [v = 2^(1/2), u <
-2, x < -u^2+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-9, -9], [0, 0], [-4, -4]]]], [[10, 1, 1, 2, 2],
[v = 2^(1/2), u < -2, x < -u^2+1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [0, 0], [-3, -3]]]], [[10
, 1, 1, 2, 3], [v = 2^(1/2), u < -2, x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
-9, -9], [0, 0], [0, 0]]]], [[10, 1, 1, 2, 4], [v = 2^(1/2), u < -2, x < -u^2+
1, y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [-9, -9], [0, 0], [3, 3]]]], [[10, 1, 1, 2, 5], [v = 2^(1/2), u < -2
, x < -u^2+1, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [-9, -9], [0, 0], [4, 4]]]], [[10, 4, 6, 5, 1], [v = 2^(1
/2), u = -3^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [1, 1], [0, 0]
]]], [[10, 6, 5, 4, 1], [v = 2^(1/2), u = -v, And(0 < x,x < 1), y = -x, z < 0]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 6, 5, 4, 2], [v =
2^(1/2), u = -v, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[10, 6, 5, 4, 3], [v = 2^(1/2), u = -v, And(0 < x,x < 1)
, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911
/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 12, 3, 1
, 1], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-2, -\
2], [-3, -3]]]], [[10, 12, 3, 1, 2], [v = 2^(1/2), u = 1, And(-2 < x,x < -1),
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[10
, 12, 3, 1, 3], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y < -x-2, And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[10, 12, 3, 1, 4], [v =
2^(1/2), u = 1, And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-2, -\
2], [980853/524288, 1961707/1048576]]]], [[10, 12, 3, 1, 5], [v = 2^(1/2), u =
1, And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[10, 14,
1, 3, 1], [v = 2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[10, 14, 1, 3, 2], [v = 2^(1/2),
u = v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[10, 14, 1, 3, 3], [v = 2^(
1/2), u = v, x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [1/2, 1/2], [0, 0]]]], [[10, 14, 1, 3, 4], [v = 2^
(1/2), u = v, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2],
[1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[10, 14, 1, 3, 5], [v = 2^(1
/2), u = v, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
1/2, 1/2], [3, 3]]]], [[11, 2, 5, 8, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And
(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[11, 4, 3, 4, 1], [2^(
1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [0, 0
], [-3, -3]]]], [[11, 4, 3, 4, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 <
x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576
, -207243/65536], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]],
[[11, 4, 3, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-3/2, -3/2], [0, 0], [0, 0]]]], [[11, 4, 3, 4, 4], [
2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [0, 0
], [642119/524288, 1284239/1048576]]]], [[11, 4, 3, 4, 5], [2^(1/2) < v, u = -
(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3
, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [0, 0], [3, 3]]]], [[11
, 10, 2, 6, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y = 4, z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [4, 4]
, [0, 0]]]], [[11, 11, 10, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 0), z = z], [regular_chain,
[[3, 3], [0, 0], [8, 8], [-4, -4], [0, 0]]]], [[11, 15, 8, 2, 1], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-\
3161161/2097152, -395145/262144], [-3, -3]]]], [[11, 15, 8, 2, 2], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-\
3161161/2097152, -395145/262144], [-1287385/1048576, -160923/131072]]]], [[11,
15, 8, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1
, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [0, 0], [-3161161/2097152, -395145/
262144], [0, 0]]]], [[11, 15, 8, 2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [0, 0], [-3161161/2097152, -395145/262144]
, [160923/131072, 1287385/1048576]]]], [[11, 15, 8, 2, 5], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-3161161/
2097152, -395145/262144], [3, 3]]]], [[11, 17, 8, 6, 1], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [0, 0], [0, 0], [-1, -1]]]], [[11, 17, 8, 6, 2], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [
[3, 3], [403851/131072, 403851/131072], [0, 0], [0, 0], [0, 0]]]], [[11, 17, 8
, 6, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [0, 0], [1, 1]
]]], [[1, 2, 7, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), 
And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867
/524288, -3477733/1048576], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[1, 2, 7, 3, 2
], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[1, 2,
7, 3, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[1, 2, 7,
3, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[1, 2, 7
, 3, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [-2, -2], [3, 3]]]], [[1, 8, 6, 1, 1], [v < -2^(1/2), u
= -(v^2-1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [0, 0], [-3, -3], [-3, -3]]]], [[1, 8,
6, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0], [-3,
-3], [-1816187/1048576, -3632373/2097152]]]], [[1, 8, 6, 1, 3], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0], [-3,
-3], [-1/4194304, -1/4194304]]]], [[1, 8, 6, 1, 4], [v < -2^(1/2), u = -(v^2-1
)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [0, 0], [-3, -3], [908093/524288, 1816187/1048576
]]]], [[1, 8, 6, 1, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, y < -2, (-y)
^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[0, 0], [-3, -3], [3, 3]]]], [[1, 10, 4, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1
/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 10
, 4, 3, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), z =
-(1-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576]
, [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[1, 10, 4, 3, 3]
, [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[1, 10, 4, 3, 4], [v < -2^(1
/2), u = -(v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-1,
-1], [741455/524288, 1482911/1048576]]]], [[1, 10, 4, 3, 5], [v < -2^(1/2), u
= -(v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-1, -1], [3, 3]]]]
, [[1, 13, 10, 3, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)),
x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [1, 1], [-1181835/524288, -1181835/524288
], [-3, -3]]]], [[1, 13, 10, 3, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (
v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [-1181835/
524288, -1181835/524288], [-1174299/1048576, -587149/524288]]]], [[1, 13, 10,
3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2
-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [-1181835/524288, -\
1181835/524288], [0, 0]]]], [[1, 13, 10, 3, 4], [v < -2^(1/2), And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)]
, [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [-\
1181835/524288, -1181835/524288], [587149/524288, 1174299/1048576]]]], [[1, 13
, 10, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, 
And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [1, 1], [-1181835/524288, -1181835/524288], [
3, 3]]]], [[1, 15, 9, 6, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And
(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 15, 9, 6, 2], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[1, 15, 9, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 21, 7, 3,
1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-9,
-9], [-4, -4]]]], [[1, 21, 7, 3, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [5, 5], [1/2, 1/2], [-9, -9], [-24456785/8388608, -1528549/524288]]]]
, [[1, 21, 7, 3, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-
u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-9, -9], [0, 0]]]], [[1, 21, 7,
3, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [
-9, -9], [1528549/524288, 3057099/1048576]]]], [[1, 21, 7, 3, 5], [v < -2^(1/2
), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-9, -9], [4, 4]]]],
[[2, 2, 2, 4, 1], [v = -2^(1/2), u = -2, x = -3, y = 3, z < 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [3, 3], [-1, -1]]]]
, [[2, 2, 2, 4, 2], [v = -2^(1/2), u = -2, x = -3, y = 3, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [3, 3]
, [0, 0]]]], [[2, 2, 2, 4, 3], [v = -2^(1/2), u = -2, x = -3, y = 3, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [3, 3]
, [1, 1]]]], [[2, 9, 10, 6, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, y = -
u^2, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2]
, [1, 1], [-1/4, -1/4], [0, 0]]]], [[2, 11, 7, 9, 1], [v = -2^(1/2), And(0 < u
,u < 1), And(0 < x,x < -u^2+1), -u^2-x+1 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [2, 2], [0, 0]]]], [
[2, 17, 7, 6, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3),
y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [0, 0], [0, 0]]]]
, [[2, 19, 4, 9, 1], [v = -2^(1/2), 2 < u, x = -1, u^2-2 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [8, 8],
[0, 0]]]], [[3, 3, 8, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
1048576, 250983/524288], [1, 1], [0, 0]]]], [[3, 5, 8, 1, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [0, 0], [-3, -3], [-3, -3]]]], [[3, 5, 8, 1, 2], [And(-2^(1
/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y < -u^2+v^2-1, z = -(-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[3, 5, 8, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[3, 5, 8, 1,
4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y < -u^2+
v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [0, 0], [-3, -3], [908093/524288, 
1816187/1048576]]]], [[3, 5, 8, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [0,
0], [-3, -3], [3, 3]]]], [[3, 11, 7, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^
2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/2097152,
225185/2097152], [-2, -2]]]], [[3, 11, 7, 7, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/
2097152, 225185/2097152], [-171801/524288, -343601/1048576]]]], [[3, 11, 7, 7,
3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 <
x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [225185/2097152, 225185/2097152]
, [0, 0]]]], [[3, 11, 7, 7, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [225185/2097152, 225185/2097152]
, [343601/1048576, 171801/524288]]]], [[3, 11, 7, 7, 5], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/
2097152, 225185/2097152], [2, 2]]]], [[3, 13, 8, 6, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0]
, [0, 0], [-1, -1]]]], [[3, 13, 8, 6, 2], [And(-2^(1/2) < v,v < -1), And(-v <
u,u < (v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [0, 0], [0, 0
]]]], [[3, 13, 8, 6, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/
2)), x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [0, 0], [0, 0], [1, 1]]]], [[3,
13, 9, 1, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0
< x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-\
3, -3], [-3, -3]]]], [[3, 13, 9, 1, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]],
[[3, 13, 9, 1, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 
And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-3, -3], [0, 0]]]], [[3, 13, 9, 1, 4], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-3, -3], [207243/
131072, 1657945/1048576]]]], [[3, 13, 9, 1, 5], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-3, -3], [3, 3]]]], [[3, 15, 8, 2, 1], [And(-2^
(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y
= -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-24808659/8388608, -49617317/16777216], [-3, -3]]]], [[3, 15, 8, 2,
2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u
^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [-24808659/8388608, -49617317/16777216], [-3301741/
2097152, -825435/524288]]]], [[3, 15, 8, 2, 3], [And(-2^(1/2) < v,v < -1), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 
250983/524288], [-24808659/8388608, -49617317/16777216], [0, 0]]]], [[3, 15, 8
, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [-24808659/8388608, -49617317/16777216], [825435/
524288, 1650871/1048576]]]], [[3, 15, 8, 2, 5], [And(-2^(1/2) < v,v < -1), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-24808659/
8388608, -49617317/16777216], [3, 3]]]], [[4, 3, 9, 3, 1], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [-8282681/4194304, -8282681/4194304], [-3,
-3]]]], [[4, 3, 9, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 <
x,x < 1), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1
], [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [
-8282681/4194304, -8282681/4194304], [-1166407/1048576, -583203/524288]]]], [[
4, 3, 9, 3, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1),
And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1546383/
2097152, 1546383/2097152], [-8282681/4194304, -8282681/4194304], [0, 0]]]], [[
4, 3, 9, 3, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1),
And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-\
8282681/4194304, -8282681/4194304], [583203/524288, 1166407/1048576]]]], [[4,
3, 9, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), 
And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-\
8282681/4194304, -8282681/4194304], [3, 3]]]], [[4, 5, 8, 4, 1], [v = -1, And(
-2^(1/2) < u,u < -1), x = 0, y = u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-1138531/2097152, -\
569265/1048576], [-2, -2]]]], [[4, 5, 8, 4, 2], [v = -1, And(-2^(1/2) < u,u <
-1), x = 0, y = u^2-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576
], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 8, 4, 3], [v = -1, And(-2^(
1/2) < u,u < -1), x = 0, y = u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2)
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [
-1138531/2097152, -569265/1048576], [-1/4194304, -1/4194304]]]], [[4, 5, 8, 4,
4], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, y = u^2-2, z = (-u^2+2)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
1138531/2097152, -569265/1048576], [193151/262144, 772605/1048576]]]], [[4, 5,
8, 4, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, y = u^2-2, (-u^2+2)^(1/2)
< z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0],
[-1138531/2097152, -569265/1048576], [2, 2]]]], [[4, 9, 9, 2, 1], [v = -1, And
(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-9/4, -9/4], [-3, -3]]]], [
[4, 9, 9, 2, 2], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-2, z =
-(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-9/4, -9
/4], [-10837/8192, -1387135/1048576]]]], [[4, 9, 9, 2, 3], [v = -1, And(0 < u,
u < 1), And(0 < x,x < 1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1
/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-9/4, -9/4], [0, 0]
]]], [[4, 9, 9, 2, 4], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-\
2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-9
/4, -9/4], [1387135/1048576, 10837/8192]]]], [[4, 9, 9, 2, 5], [v = -1, And(0
< u,u < 1), And(0 < x,x < 1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain
, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-9/4, -9/4], [3, 3]]]], [[4, 11, 10, 1,
1], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y < -u^2-1, z < -(-y-1)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-4, -4]
, [-3, -3]]]], [[4, 11, 10, 1, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y <
-u^2-1, z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[4, 11, 10, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y < -u^2-1, And(-(-
y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[4, 11, 10
, 1, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y < -u^2-1, z = (-y-1)^(1/2)]
, [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-4,
-4], [908093/524288, 1816187/1048576]]]], [[4, 11, 10, 1, 5], [v = -1, And(1 <
u,u < 2^(1/2)), x = 1, y < -u^2-1, (-y-1)^(1/2) < z], [regular_chain, [[-1, -1
], [1265743/1048576, 1265743/1048576], [1, 1], [-4, -4], [3, 3]]]], [[5, 2, 1,
7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(-x < y,y < 1-x), z
= z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [9/2, 9/2], [0, 0
]]]], [[5, 3, 10, 3, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [-\
2340173/1048576, -2340173/1048576], [-3, -3]]]], [[5, 3, 10, 3, 2], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 <
y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576], [-1163761/
1048576, -72735/65536]]]], [[5, 3, 10, 3, 3], [And(-1 < v,v < 0), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)
^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576], [0, 0]]]], [[5,
3, 10, 3, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [1, 1], [-2340173/1048576, -2340173/
1048576], [72735/65536, 1163761/1048576]]]], [[5, 3, 10, 3, 5], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< -1), (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576], [3, 3]]]], [[5,
11, 11, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1
< x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [2, 2], [-6, -6], [-3, -3]]]], [[5, 11, 11, 1,
2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -
u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144
, 343151/262144], [2, 2], [-6, -6], [-2, -2]]]], [[5, 11, 11, 1, 3], [And(-1 <
v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [2, 2], [-6, -6], [0, 0]]]], [[5, 11, 11, 1, 4]
, [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^
2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [2, 2], [-6, -6], [2, 2]]]], [[5, 11, 11, 1, 5], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
2, 2], [-6, -6], [3, 3]]]], [[5, 13, 8, 4, 1], [And(-1 < v,v < 0), (v^2+2)^(1/
2) < u, x = 1, y = -1, z < 0], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1],
[-1, -1], [-1, -1]]]], [[5, 13, 8, 4, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) <
u, x = 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-1,
-1], [0, 0]]]], [[5, 13, 8, 4, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x =
1, y = -1, 0 < z], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-1, -1], [1
, 1]]]], [[6, 5, 11, 3, 1], [v = 0, And(-1 < u,u < 0), 1 < x, And(-u^2-x-1 < y
,y < u^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2,
2], [-3, -3], [-2, -2]]]], [[6, 5, 11, 3, 2], [v = 0, And(-1 < u,u < 0), 1 < x
, And(-u^2-x-1 < y,y < u^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0],
[-1/2, -1/2], [2, 2], [-3, -3], [-1, -1]]]], [[6, 5, 11, 3, 3], [v = 0, And(-1
< u,u < 0), 1 < x, And(-u^2-x-1 < y,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-3, -3], [0, 0]]
]], [[6, 5, 11, 3, 4], [v = 0, And(-1 < u,u < 0), 1 < x, And(-u^2-x-1 < y,y <
u^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-\
3, -3], [1, 1]]]], [[6, 5, 11, 3, 5], [v = 0, And(-1 < u,u < 0), 1 < x, And(-u
^2-x-1 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1
/2], [2, 2], [-3, -3], [2, 2]]]], [[6, 8, 1, 2, 1], [v = 0, u = 1, x < -2, y =
0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [-3, -\
3]]]], [[6, 8, 1, 2, 2], [v = 0, u = 1, x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[6, 8, 1, 2, 3], [v = 0, u = 1, x < -2, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[6, 8, 1, 2, 4], [v = 0, u = 1, x < -2, y = 0, z = (
-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [908093/524288,
1816187/1048576]]]], [[6, 8, 1, 2, 5], [v = 0, u = 1, x < -2, y = 0, (-x)^(1/2
) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [0, 0], [3, 3]]]], [[6, 11,
9, 2, 1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), y = -u^2-x-1, z < -(u^2+1
)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-29/2, -29/2], [-5, -5
]]]], [[6, 11, 9, 2, 2], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), y = -u^2-x
-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-29/2,
-29/2], [-3315889/1048576, -207243/65536]]]], [[6, 11, 9, 2, 3], [v = 0, 2^(1/
2) < u, And(1 < x,x < u^2-1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)
^(1/2))], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-29/2, -29/2], [0, 0]]
]], [[6, 11, 9, 2, 4], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), y = -u^2-x-1
, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-29/2, -29
/2], [207243/65536, 3315889/1048576]]]], [[6, 11, 9, 2, 5], [v = 0, 2^(1/2) <
u, And(1 < x,x < u^2-1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0
, 0], [3, 3], [9/2, 9/2], [-29/2, -29/2], [5, 5]]]], [[7, 2, 4, 5, 1], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [
[7, 2, 4, 5, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y <
1), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [1
/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[7, 2, 4, 5, 3], [And(0 < v
,v < 1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[7, 2, 4, 5, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1
, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2
], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[7, 2, 4, 5, 5], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [1/2, 1/2], [2, 2]]]]
, [[7, 8, 2, 2, 1], [And(0 < v,v < 1), u = v, x = -1, y = 0, z < -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0], [-2, -2]]]], [[7, 8,
2, 2, 2], [And(0 < v,v < 1), u = v, x = -1, y = 0, z = -1], [regular_chain, [[
1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0], [-1, -1]]]], [[7, 8, 2, 2, 3], [And(0
< v,v < 1), u = v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1
/2], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[7, 8, 2, 2, 4], [And(0 < v,v <
1), u = v, x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1
, -1], [0, 0], [1, 1]]]], [[7, 8, 2, 2, 5], [And(0 < v,v < 1), u = v, x = -1,
y = 0, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0], [2,
2]]]], [[7, 10, 3, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x <
-1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[7, 
10, 3, 5, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576
, 146543/131072], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/
4194304]]]], [[7, 10, 3, 5, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 <
x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [3
/4, 3/4], [-1/8388608, -1/8388608]]]], [[7, 10, 3, 5, 4], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [3
/4, 3/4], [908093/1048576, 454047/524288]]]], [[7, 10, 3, 5, 5], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2
], [3/4, 3/4], [2, 2]]]], [[7, 10, 4, 2, 1], [And(0 < v,v < 1), u = (v^2+1)^(1
/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1, -1], [-1, -1], [-3, -3]]]], [[7, 10, 4, 2, 2], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1, -\
1], [-1482911/1048576, -741455/524288]]]], [[7, 10, 4, 2, 3], [And(0 < v,v < 1
), u = (v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1, -\
1], [0, 0]]]], [[7, 10, 4, 2, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1
, y = -1, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[7, 10, 4,
2, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1, -\
1], [3, 3]]]], [[7, 12, 2, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3
, y = 0, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [0,
0], [-3, -3]]]], [[7, 12, 2, 2, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x =
-3, y = 0, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [
0, 0], [-1816187/1048576, -3632373/2097152]]]], [[7, 12, 2, 2, 3], [And(0 < v,
v < 1), u = (v^2+2)^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[7, 12, 2, 2, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3,
y = 0, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [0, 0]
, [908093/524288, 1816187/1048576]]]], [[7, 12, 2, 2, 5], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/
2, 3/2], [-3, -3], [0, 0], [3, 3]]]], [[8, 4, 4, 6, 1], [v = 1, u = -2^(1/2),
x = -1, y = 1, z < 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [-1, -1]]]], [[8, 4, 4, 6, 2], [v = 1, u = -2^(1/2)
, x = -1, y = 1, z = 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [0, 0]]]], [[8, 4, 4, 6, 3], [v = 1, u = -2^(1/2),
x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [1, 1], [1, 1]]]], [[8, 6, 3, 3, 1], [v = 1, u = -1, And(-1
< x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[8, 6, 3, 3, 2], [v = 1, u
= -1, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-1816187/
2097152, -3632373/4194304]]]], [[8, 6, 3, 3, 3], [v = 1, u = -1, And(-1 < x,x
< 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/
8388608]]]], [[8, 6, 3, 3, 4], [v = 1, u = -1, And(-1 < x,x < 0), And(-1-x < y
,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [
-1/4, -1/4], [908093/1048576, 454047/524288]]]], [[8, 6, 3, 3, 5], [v = 1, u =
-1, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[8, 10, 4, 3, 1], [
v = 1, u = 1, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1,
1], [1, 1], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[8, 10, 4, 3, 2], [v = 1, u =
1, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [1, 1]
, [0, 0], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[8, 10, 4, 3,
3], [v = 1, u = 1, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2
))], [regular_chain, [[1, 1], [1, 1], [0, 0], [-1/2, -1/2], [0, 0]]]], [[8, 10
, 4, 3, 4], [v = 1, u = 1, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/
65536]]]], [[8, 10, 4, 3, 5], [v = 1, u = 1, x = 0, And(-1 < y,y < 0), (-y)^(1
/2) < z], [regular_chain, [[1, 1], [1, 1], [0, 0], [-1/2, -1/2], [2, 2]]]], [[
8, 12, 4, 7, 1], [v = 1, u = 2^(1/2), x = -1, 1 < y, z = z], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [2, 2], [0, 0]]]], [[9, 2,
7, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = 0
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[9, 4, 5, 4, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144
, -3287319/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[9, 4, 5, 4, 2], [And
(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]]
, [[9, 4, 5, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [
0, 0], [0, 0]]]], [[9, 4, 5, 4, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2
), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [
0, 0], [741455/1048576, 46341/65536]]]], [[9, 4, 5, 4, 5], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1/2, -1/2], [0, 0], [2, 2]]]], [[9, 12, 5, 1, 1], [And(1 < v,v < 2
^(1/2)), u = v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/
2, 1/2], [-3, -3], [-3, -3]]]], [[9, 12, 5, 1, 2], [And(1 < v,v < 2^(1/2)), u
= v, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
3, -3], [-3315889/2097152, -207243/131072]]]], [[9, 12, 5, 1, 3], [And(1 < v,v
< 2^(1/2)), u = v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [0, 0]]]], [[9, 12, 5, 1, 4],
[And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743
/1048576], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[9, 12,
5, 1, 5], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y < -1-x, (-x-y)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [3, 3]]]], [[9, 14, 5, 3, 1],
[And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[9
, 14, 5, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0),
And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/4, -3/4]
, [-146543/131072, -1172343/1048576]]]], [[9, 14, 5, 3, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/4, -3/4], [0, 0]
]]], [[9, 14, 5, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x
,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3
/4, -3/4], [1172343/1048576, 146543/131072]]]], [[9, 14, 5, 3, 5], [And(1 < v,
v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[10, 2, 7, 9,
1], [v = 2^(1/2), u = -2, And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [2, 2], [0, 0]]]], [[
10, 4, 5, 7, 1], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), -x < y, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [2, 2], [0, 0]]]], [[10, 8, 7, 2, 1], [v = 2^(
1/2), u = -1, And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]
]], [[10, 8, 7, 2, 2], [v = 2^(1/2), u = -1, And(0 < x,x < 1), y = -x-2, z = -
2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1
/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[10, 8, 7, 2, 3], [
v = 2^(1/2), u = -1, And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-\
5/2, -5/2], [0, 0]]]], [[10, 8, 7, 2, 4], [v = 2^(1/2), u = -1, And(0 < x,x <
1), y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[10,
8, 7, 2, 5], [v = 2^(1/2), u = -1, And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-5/2,
-5/2], [3, 3]]]], [[10, 10, 4, 5, 1], [v = 2^(1/2), u = 0, x = -1, And(0 < y,y
< 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0
, 0], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 10, 4, 5, 2], [v = 2^(1/2), u =
0, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[10, 10, 4, 5, 3], [v = 2^(1/2), u = 0, x = -1, And(0 < y
,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 10, 4
, 5, 4], [v = 2^(1/2), u = 0, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [1/2, 1/2]
, [741455/1048576, 46341/65536]]]], [[10, 10, 4, 5, 5], [v = 2^(1/2), u = 0, x
= -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 16, 3, 3, 1],
[v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[10, 16, 3, 3, 2],
[v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]
]], [[10, 16, 3, 3, 3], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(-x-\
2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2
], [-1/4, -1/4], [0, 0]]]], [[10, 16, 3, 3, 4], [v = 2^(1/2), u = 3^(1/2), And
(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2
], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[10, 16, 3, 3, 5], [v = 2^
(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[10, 18, 1, 5, 1], [v = 2^(1
/2), u = 2, x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [5/2, 5/2], [-3, -3]]]],
[[10, 18, 1, 5, 2], [v = 2^(1/2), u = 2, x < -3, And(-x-3 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -\
4], [5/2, 5/2], [-1284239/1048576, -642119/524288]]]], [[10, 18, 1, 5, 3], [v
= 2^(1/2), u = 2, x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4
], [5/2, 5/2], [0, 0]]]], [[10, 18, 1, 5, 4], [v = 2^(1/2), u = 2, x < -3, And
(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [2, 2], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]],
[[10, 18, 1, 5, 5], [v = 2^(1/2), u = 2, x < -3, And(-x-3 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4
], [5/2, 5/2], [3, 3]]]], [[10, 18, 2, 2, 1], [v = 2^(1/2), u = 2, x = -3, y =
0, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [
-3, -3], [0, 0], [-3, -3]]]], [[10, 18, 2, 2, 2], [v = 2^(1/2), u = 2, x = -3,
y = 0, z = -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2
], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[10, 18, 2, 2,
3], [v = 2^(1/2), u = 2, x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [0, 0], [-\
1/4194304, -1/4194304]]]], [[10, 18, 2, 2, 4], [v = 2^(1/2), u = 2, x = -3, y
= 0, z = 3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[10, 18, 2, 2, 5], [v
= 2^(1/2), u = 2, x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [2, 2], [-3, -3], [0, 0], [3, 3]]]], [[10, 19, 10, 1, 1],
[v = 2^(1/2), 2 < u, x = u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [-15, -15],
[-4, -4]]]], [[10, 19, 10, 1, 2], [v = 2^(1/2), 2 < u, x = u^2-3, y < -2*u^2+4
, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [6, 6], [-15, -15], [-3, -3]]]], [[10, 19, 10, 1, 3], [v = 2^(1/2), 2 <
u, x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [-15, -15],
[0, 0]]]], [[10, 19, 10, 1, 4], [v = 2^(1/2), 2 < u, x = u^2-3, y < -2*u^2+4,
z = (-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [6, 6], [-15, -15], [3, 3]]]], [[10, 19, 10, 1, 5], [v = 2^(1/2), 2 < u, x
= u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [6, 6], [-15, -15], [4, 4]]]], [[11, 6, 3, 1, 1], [2
^(1/2) < v, u = -v, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[11, 6
, 3, 1, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-2, -2], [-3315889/
2097152, -207243/131072]]]], [[11, 6, 3, 1, 3], [2^(1/2) < v, u = -v, And(-1 <
x,x < 0), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [-3, -3], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[11, 6, 3, 1, 4], [2^(1
/2) < v, u = -v, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-2, -2], [207243/131072, 
1657945/1048576]]]], [[11, 6, 3, 1, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 0
), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2
], [-2, -2], [3, 3]]]], [[11, 8, 3, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 
And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [3/4, 3/4], [-2, -2
]]]], [[11, 8, 3, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -\
3632373/4194304]]]], [[11, 8, 3, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(
-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
3/4, 3/4], [-1/8388608, -1/8388608]]]], [[11, 8, 3, 5, 4], [2^(1/2) < v, u = -
(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
3/4, 3/4], [908093/1048576, 454047/524288]]]], [[11, 8, 3, 5, 5], [2^(1/2) < v
, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2]
, [3/4, 3/4], [2, 2]]]], [[11, 11, 11, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(-x < y,y < -u^2+v^2-x-1), z = z],
[regular_chain, [[3, 3], [0, 0], [9, 9], [-5, -5], [0, 0]]]], [[11, 13, 8, 4,
1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y
= u^2-v^2+1, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288]
, [133259/262144, 533037/1048576], [-1066073/2097152, -133259/262144], [-1, -1
]]]], [[11, 13, 8, 4, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2
)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [133259/262144, 533037/1048576], [-1066073/2097152, -\
133259/262144], [0, 0]]]], [[11, 13, 8, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [-\
1066073/2097152, -133259/262144], [1, 1]]]], [[11, 19, 8, 3, 1], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,
y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-116841131/
67108864, -116841131/67108864], [-3, -3]]]], [[11, 19, 8, 3, 2], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,
y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-116841131/
67108864, -116841131/67108864], [-1170947/1048576, -585473/524288]]]], [[11, 
19, 8, 3, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-
v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z <
(-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [129511/262144, 518045/1048576], [-116841131/67108864, -116841131/
67108864], [0, 0]]]], [[11, 19, 8, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (
-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [129511/262144, 518045/1048576], [-116841131/67108864, -116841131/
67108864], [585473/524288, 1170947/1048576]]]], [[11, 19, 8, 3, 5], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 <
y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-\
116841131/67108864, -116841131/67108864], [3, 3]]]], [[11, 21, 5, 2, 1], [2^(1
/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-33/2, -33/2], [-6
, -6]]]], [[11, 21, 5, 2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x <
0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5]
, [-1/2, -1/2], [-33/2, -33/2], [-2161695/524288, -4323389/1048576]]]], [[11,
21, 5, 2, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2
-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3,
3], [5, 5], [-1/2, -1/2], [-33/2, -33/2], [0, 0]]]], [[11, 21, 5, 2, 4], [2^(1
/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-33/2, -33/2], [
4323389/1048576, 2161695/524288]]]], [[11, 21, 5, 2, 5], [2^(1/2) < v, (v^2+2)
^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-33/2, -33/2], [6, 6]]]], [[1,
4, 5, 6, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z <
0], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2]
, [1/2, 1/2], [-1, -1]]]], [[1, 4, 5, 6, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2)
, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 4, 5, 6, 3]
, [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [1/
2, 1/2], [1, 1]]]], [[1, 6, 5, 2, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1),
y = -1-x, z < -1], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3/2, -3/
2], [-2, -2]]]], [[1, 6, 5, 2, 2], [v < -2^(1/2), u = v, And(0 < x,x < 1), y =
-1-x, z = -1], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3/2, -3/2],
[-1, -1]]]], [[1, 6, 5, 2, 3], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = -1-
x, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3/2,
-3/2], [0, 0]]]], [[1, 6, 5, 2, 4], [v < -2^(1/2), u = v, And(0 < x,x < 1), y
= -1-x, z = 1], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3/2, -3/2],
[1, 1]]]], [[1, 6, 5, 2, 5], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = -1-x,
1 < z], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-3/2, -3/2], [2, 2]]
]], [[1, 12, 1, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, And(-x-3 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[1, 12, 1, 5, 2], [v < -2^(1/
2), u = (v^2-2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [5/2, 5/2],
[-1284239/1048576, -642119/524288]]]], [[1, 12, 1, 5, 3], [v < -2^(1/2), u = (
v^2-2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [5
/2, 5/2], [0, 0]]]], [[1, 12, 1, 5, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x <
-3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/
1048576]]]], [[1, 12, 1, 5, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, And(
-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-4, -4], [5/2, 5/2], [3, 3]]]], [[1, 13, 10, 1, 1], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z
< -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[1, 1], [-5, -5], [-3, -3]]]], [[1, 13, 10, 1, 2], [v < -2^(1/2), And((v^2-2)^
(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [-5, -5],
[-2, -2]]]], [[1, 13, 10, 1, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [-5, -5],
[0, 0]]]], [[1, 13, 10, 1, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1
)^(1/2)), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [1, 1], [-5, -5], [2, 2]]]], [[1, 13, 10, 1,
5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^
2-2, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [1, 1], [-5, -5], [3, 3]]]], [[1, 17, 10, 6, 1], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [1, 1], [-1, -1], [-1, -1]]]], [[1, 17, 10, 6,
2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-1, -1], [0
, 0]]]], [[1, 17, 10, 6, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
1, y = -1, 0 < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[1, 1], [-1, -1], [1, 1]]]], [[1, 19, 9, 9, 1], [v < -2^(1/2), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/2097152
, 1566621/2097152], [1, 1], [0, 0]]]], [[2, 3, 10, 8, 1], [v = -2^(1/2), And(-\
2 < u,u < -3^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [0, 0], [0, 0]]
]], [[2, 5, 10, 2, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = -u^2
, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-2594959/1048576, -1297479/524288
], [-3, -3]]]], [[2, 5, 10, 2, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x =
1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1, 1], [-2594959/1048576, -\
1297479/524288], [-636691/524288, -1273381/1048576]]]], [[2, 5, 10, 2, 3], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z
< (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-2594959/1048576, -1297479/524288
], [0, 0]]]], [[2, 5, 10, 2, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1
, y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1, 1], [-2594959/1048576, -\
1297479/524288], [1273381/1048576, 636691/524288]]]], [[2, 5, 10, 2, 5], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2594959/1048576, -1297479/524288], [3, 3]]]], [[2,
5, 10, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(u^2-4 < y,y <
-1), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [1, 1], [-5295843/4194304, -5295843/
4194304], [-2, -2]]]], [[2, 5, 10, 5, 2], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), x = 1, And(u^2-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1, 1]
, [-5295843/4194304, -5295843/4194304], [-268683/524288, -1074731/2097152]]]],
[[2, 5, 10, 5, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(u^2-4 <
y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1, 1]
, [-5295843/4194304, -5295843/4194304], [-1/4194304, -1/4194304]]]], [[2, 5, 
10, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, And(u^2-4 < y,y < -1
), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-5295843/4194304, -5295843/
4194304], [537365/1048576, 268683/524288]]]], [[2, 5, 10, 5, 5], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = 1, And(u^2-4 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-5295843/4194304, -5295843/4194304], [2, 2]]]], [[2
, 7, 11, 4, 1], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = -u^2-x+1, z < -(u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [-2,
-2]]]], [[2, 7, 11, 4, 2], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = -u^2-x
+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -1288231/
524288], [-1417877/2097152, -354469/524288]]]], [[2, 7, 11, 4, 3], [v = -2^(1/
2), And(v < u,u < -1), 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [0, 0
]]]], [[2, 7, 11, 4, 4], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = -u^2-x+1
, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288
], [354469/524288, 708939/1048576]]]], [[2, 7, 11, 4, 5], [v = -2^(1/2), And(v
< u,u < -1), 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2]
, [-2576463/1048576, -1288231/524288], [2, 2]]]], [[2, 13, 7, 3, 1], [v = -2^(
1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-\
808921/1048576, -808921/1048576], [-2, -2]]]], [[2, 13, 7, 3, 2], [v = -2^(1/2
), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), z
= -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-\
808921/1048576, -808921/1048576], [-1, -1]]]], [[2, 13, 7, 3, 3], [v = -2^(1/2
), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655
/1048576], [-808921/1048576, -808921/1048576], [0, 0]]]], [[2, 13, 7, 3, 4], [
v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u
^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-\
808921/1048576, -808921/1048576], [1, 1]]]], [[2, 13, 7, 3, 5], [v = -2^(1/2),
And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), (-x-y
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-808921/
1048576, -808921/1048576], [2, 2]]]], [[2, 15, 8, 2, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0],
[-773191/524288, -1546381/1048576], [-3, -3]]]], [[2, 15, 8, 2, 2], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [0, 0], [-773191/524288, -1546381/1048576], [-1273381/1048576, -\
318345/262144]]]], [[2, 15, 8, 2, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0
], [-773191/524288, -1546381/1048576], [0, 0]]]], [[2, 15, 8, 2, 4], [v = -2^(
1/2), And(-v < u,u < 3^(1/2)), x = 0, y = -u^2+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [0, 0], [-773191/524288, -1546381/1048576], [318345/262144, 1273381/
1048576]]]], [[2, 15, 8, 2, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0,
y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [0, 0], [-773191/524288, -1546381
/1048576], [3, 3]]]], [[2, 19, 5, 2, 1], [v = -2^(1/2), 2 < u, And(-1 < x,x <
0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-1/2, -1/2], [-15/2, -15/2], [-4, -4]]]], [[2, 19, 5,
2, 2], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2]
, [-15/2, -15/2], [-2965821/1048576, -11863283/4194304]]]], [[2, 19, 5, 2, 3],
[v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,
z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-1/2, -1/2], [-15/2, -15/2], [-3/8388608, -3/8388608]]]], [[2, 19, 5, 2,
4], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-\
15/2, -15/2], [741455/262144, 2965821/1048576]]]], [[2, 19, 5, 2, 5], [v = -2^
(1/2), 2 < u, And(-1 < x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-15
/2, -15/2], [4, 4]]]], [[3, 1, 11, 5, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2
+2)^(1/2), u^2-v^2-1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-9916495/2097152, -\
9916495/2097152], [0, 0]]]], [[3, 7, 9, 2, 1], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069/1048576], [
-3, -3]]]], [[3, 7, 9, 2, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1
)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069/1048576], [-1314069/
1048576, -328517/262144]]]], [[3, 7, 9, 2, 3], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1
)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1085535/
524288, -2171069/1048576], [0, 0]]]], [[3, 7, 9, 2, 4], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069/
1048576], [328517/262144, 1314069/1048576]]]], [[3, 7, 9, 2, 5], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069
/1048576], [3, 3]]]], [[3, 9, 8, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1
)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^
2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-28280675/16777216, -\
28280675/16777216], [-3, -3]]]], [[3, 9, 8, 3, 2], [And(-2^(1/2) < v,v < -1),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y
,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-28280675/
16777216, -28280675/16777216], [-1162243/1048576, -581121/524288]]]], [[3, 9,
8, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2))
, x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2)
< z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-28280675/16777216, -\
28280675/16777216], [0, 0]]]], [[3, 9, 8, 3, 4], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y
,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-28280675/
16777216, -28280675/16777216], [581121/524288, 1162243/1048576]]]], [[3, 9, 8,
3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x
= -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/524288,
479311/1048576], [-28280675/16777216, -28280675/16777216], [3, 3]]]], [[3, 17,
5, 4, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y =
0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3
, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 17, 5, 4, 2], [And(-2^(1/2) < v,
v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [0
, 0], [-1482911/2097152, -741455/1048576]]]], [[3, 17, 5, 4, 3], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,
z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [-1/2, -1/2], [0, 0], [0, 0]]]], [[3, 17, 5, 4, 4], [And(-2^(1/2) < v,v < -\
1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [0
, 0], [741455/1048576, 46341/65536]]]], [[3, 17, 5, 4, 5], [And(-2^(1/2) < v,v
< -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [0
, 0], [2, 2]]]], [[4, 1, 11, 7, 1], [v = -1, u < -3^(1/2), u^2-2 < x, And(u^2-
x-2 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-1/2, -1
/2], [0, 0]]]], [[4, 7, 9, 6, 1], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1)
, y = -x, z < 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1/2,
-1/2], [-1, -1]]]], [[4, 7, 9, 6, 2], [v = -1, And(-1 < u,u < 0), And(0 < x,x
< 1), y = -x, z = 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1
/2, -1/2], [0, 0]]]], [[4, 7, 9, 6, 3], [v = -1, And(-1 < u,u < 0), And(0 < x,
x < 1), y = -x, 0 < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [
-1/2, -1/2], [1, 1]]]], [[4, 9, 8, 7, 1], [v = -1, And(0 < u,u < 1), x = 0, 0
< y, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]],
[[4, 13, 9, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1)
, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-4141339
/2097152, -4141339/2097152], [-3, -3]]]], [[4, 13, 9, 3, 2], [v = -1, And(2^(1
/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
773191/1048576, 773191/1048576], [-4141339/2097152, -4141339/2097152], [-\
1166407/1048576, -583203/524288]]]], [[4, 13, 9, 3, 3], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097
/2097152], [773191/1048576, 773191/1048576], [-4141339/2097152, -4141339/
2097152], [0, 0]]]], [[4, 13, 9, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/1048576,
773191/1048576], [-4141339/2097152, -4141339/2097152], [583203/524288, 1166407
/1048576]]]], [[4, 13, 9, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^
2-2 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1, -1], [3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576],
[-4141339/2097152, -4141339/2097152], [3, 3]]]], [[4, 15, 6, 4, 1], [v = -1, 3
^(1/2) < u, x = 0, y = 0, z < 0], [regular_chain, [[-1, -1], [3, 3], [0, 0], [
0, 0], [-1, -1]]]], [[4, 15, 6, 4, 2], [v = -1, 3^(1/2) < u, x = 0, y = 0, z =
0], [regular_chain, [[-1, -1], [3, 3], [0, 0], [0, 0], [0, 0]]]], [[4, 15, 6,
4, 3], [v = -1, 3^(1/2) < u, x = 0, y = 0, 0 < z], [regular_chain, [[-1, -1],
[3, 3], [0, 0], [0, 0], [1, 1]]]], [[5, 5, 9, 7, 1], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2]
, [-1/4, -1/4], [0, 0]]]], [[5, 7, 10, 6, 1], [And(-1 < v,v < 0), And(v < u,u
< -v), x = 1, y = -1, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [
-1, -1], [-1, -1]]]], [[5, 7, 10, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v)
, x = 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-1, -\
1], [0, 0]]]], [[5, 7, 10, 6, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1
, y = -1, 0 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-1, -1], [1,
1]]]], [[5, 7, 10, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, And(-1
< y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-1/2, -1/2
], [0, 0]]]], [[5, 9, 11, 6, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1
/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [2, 2], [-2, -2], [-1, -1]]]], [[5, 9, 11, 6, 2], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain
, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-2, -2], [0, 0]]
]], [[5, 9, 11, 6, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 <
x, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [-2, -2], [1, 1]]]], [[6, 2, 3, 7, 1], [v = 0, u = -2^(1/2),
And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-2, -2], [5/2, 5/2], [0, 0]]]], [[6, 4, 1,
1, 1], [v = 0, u = -1, x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-1, -1], [-3, -3], [-1, -1], [-3, -3]]]], [[6, 4, 1, 1, 2], [v = 0, u = -\
1, x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3,
-3], [-1, -1], [-2, -2]]]], [[6, 4, 1, 1, 3], [v = 0, u = -1, x < -2, y < 0, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [
-3, -3], [-1, -1], [0, 0]]]], [[6, 4, 1, 1, 4], [v = 0, u = -1, x < -2, y < 0,
z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [-1, -1], [2,
2]]]], [[6, 4, 1, 1, 5], [v = 0, u = -1, x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [-1, -1], [3, 3]]]], [[6, 8, 1, 4,
1], [v = 0, u = 1, x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[0, 0], [
1, 1], [-3, -3], [1, 1], [-3, -3]]]], [[6, 8, 1, 4, 2], [v = 0, u = 1, x < -2,
y = -x-2, z = -2^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [-\
1482911/1048576, -741455/524288]]]], [[6, 8, 1, 4, 3], [v = 0, u = 1, x < -2,
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3
, -3], [1, 1], [0, 0]]]], [[6, 8, 1, 4, 4], [v = 0, u = 1, x < -2, y = -x-2, z
= 2^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [741455/524288,
1482911/1048576]]]], [[6, 8, 1, 4, 5], [v = 0, u = 1, x < -2, y = -x-2, 2^(1/2
) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1, 1], [3, 3]]]], [[6, 9,
11, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(u^2-x-1 < y,y < 0), z =
z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [-\
1617841/2097152, -1617841/2097152], [0, 0]]]], [[7, 4, 2, 1, 1], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [-1, -1], [-3, -3]]]]
, [[7, 4, 2, 1, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, y < 0, z =
-(2-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576]
, [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[7, 4, 2, 1, 3
], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,
z < (2-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[7, 4, 2, 1, 4], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [-1,
-1], [908093/524288, 1816187/1048576]]]], [[7, 4, 2, 1, 5], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[1/2, 1/
2], [-146543/131072, -1172343/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[7, 6,
1, 2, 1], [And(0 < v,v < 1), u = -v, x < -1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [0, 0], [-3, -3]]]], [[7,
6, 1, 2, 2], [And(0 < v,v < 1), u = -v, x < -1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [0, 0], [-1482911/1048576,
-741455/524288]]]], [[7, 6, 1, 2, 3], [And(0 < v,v < 1), u = -v, x < -1, y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2, -1
/2], [-2, -2], [0, 0], [0, 0]]]], [[7, 6, 1, 2, 4], [And(0 < v,v < 1), u = -v,
x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2
, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[7, 6, 1, 2, 5], [And(0 <
v,v < 1), u = -v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [-2, -2], [0, 0], [3, 3]]]], [[7, 13, 11, 3, 1], [And(0 < v,v <
1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-111/8, -111/8], [-4,
-4]]]], [[7, 13, 11, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 <
x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [3, 3], [9, 9], [-111/8, -111/8], [-1157597/524288, -2315193/1048576]]]],
[[7, 13, 11, 3, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-
u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-111/8, -111/8], [0, 0]]]], [[7,
13, 11, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v
^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [9
, 9], [-111/8, -111/8], [2315193/1048576, 1157597/524288]]]], [[7, 13, 11, 3,
5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-111
/8, -111/8], [4, 4]]]], [[8, 2, 5, 9, 1], [v = 1, u = -3^(1/2), And(-1 < x,x <
0), 1-x < y, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [3, 3], [0, 0]]]], [[8, 8, 4, 7, 1], [v = 1, u = 0, x
= -1, 1 < y, z = z], [regular_chain, [[1, 1], [0, 0], [-1, -1], [2, 2], [0, 0]
]]], [[8, 10, 3, 4, 1], [v = 1, u = 1, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/
2)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[8,
10, 3, 4, 2], [v = 1, u = 1, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[8, 10, 3, 4, 3], [v = 1, u = 1, And(-1 < x,x < 0), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [1, 1], [-1/2
, -1/2], [0, 0], [0, 0]]]], [[8, 10, 3, 4, 4], [v = 1, u = 1, And(-1 < x,x < 0
), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[8, 10, 3, 4, 5], [v = 1, u = 1, And(-1
< x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [-1/2, -1
/2], [0, 0], [2, 2]]]], [[8, 14, 3, 9, 1], [v = 1, u = 3^(1/2), And(-3 < x,x <
-1), 1-x < y, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [-2, -2], [4, 4], [0, 0]]]], [[8, 15, 11, 8, 1], [v = 1, 3^(1/2) < u, u^2-2
< x, y = 0, z = z], [regular_chain, [[1, 1], [3, 3], [8, 8], [0, 0], [0, 0]]]]
, [[9, 6, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), And(-1-
x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1, -1], [-2, -2]
]]], [[9, 6, 5, 3, 2], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), And(
-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1, -1],
[-1482911/2097152, -741455/1048576]]]], [[9, 6, 5, 3, 3], [And(1 < v,v < 2^(1/
2)), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743
/1048576, -1265743/1048576], [1/2, 1/2], [-1, -1], [0, 0]]]], [[9, 6, 5, 3, 4]
, [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536
]]]], [[9, 6, 5, 3, 5], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), And
(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1, -1],
[2, 2]]]], [[9, 8, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [1/4, 1/4], [-2, -2]]]], [[9, 8, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u =
-(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 8, 5, 5, 3], [And(1
< v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [1/4, 1/4]
, [0, 0]]]], [[9, 8, 5, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 8, 5, 5, 5], [And(1 < v,v < 2^(1/2)), u
= -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 8, 6, 5, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0],
[1, 1], [0, 0]]]], [[9, 10, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/
2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [-3/
2, -3/2], [-3, -3]]]], [[9, 10, 5, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)
^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [-3/
2, -3/2], [-1482911/1048576, -741455/524288]]]], [[9, 10, 5, 2, 3], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) <
z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[9, 10, 5, 2,
4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z
= 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/
1048576]]]], [[9, 10, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [-3/2, -3/2],
[3, 3]]]], [[9, 16, 4, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x =
-1, y = -2, z < -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [121853/65536, 1949649/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[9, 16, 4
, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y = -2, z = -3^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]],
[[9, 16, 4, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y = -2,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [-2, -2], [-1/4194304, -1
/4194304]]]], [[9, 16, 4, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x
= -1, y = -2, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [121853/65536, 1949649/1048576], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[9, 16, 4, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[
10, 1, 1, 1, 1], [v = 2^(1/2), u < -2, x < -u^2+1, y < 0, z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [-1, -1
], [-5, -5]]]], [[10, 1, 1, 1, 2], [v = 2^(1/2), u < -2, x < -u^2+1, y < 0, z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-9, -9], [-1, -1], [-3315889/1048576, -207243/65536]]]], [[10, 1, 1, 1, 3], [
v = 2^(1/2), u < -2, x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [-1
, -1], [0, 0]]]], [[10, 1, 1, 1, 4], [v = 2^(1/2), u < -2, x < -u^2+1, y < 0,
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [-9, -9], [-1, -1], [207243/65536, 3315889/1048576]]]], [[10, 1, 1, 1, 5], [
v = 2^(1/2), u < -2, x < -u^2+1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [-1, -1], [5, 5]]]], [[10
, 4, 7, 1, 1], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[10, 4, 7, 1,
2], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]],
[[10, 4, 7, 1, 3], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y < -x-2, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-4, -4],
[0, 0]]]], [[10, 4, 7, 1, 4], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y
< -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-4, -4], [980853/524288, 
1961707/1048576]]]], [[10, 4, 7, 1, 5], [v = 2^(1/2), u = -3^(1/2), And(0 < x,
x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-4, -4], [3, 3]]]
], [[10, 6, 5, 5, 1], [v = 2^(1/2), u = -v, And(0 < x,x < 1), And(-x < y,y < 0
), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 12, 2, 5,
1], [v = 2^(1/2), u = 1, x = -2, 2 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-2, -2], [3, 3], [0, 0]]]], [[10, 14, 1, 2,
1], [v = 2^(1/2), u = v, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
0, 0], [-3, -3]]]], [[10, 14, 1, 2, 2], [v = 2^(1/2), u = v, x < -1, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]
]]], [[10, 14, 1, 2, 3], [v = 2^(1/2), u = v, x < -1, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [-2, -2], [0, 0], [0, 0]]]], [[10, 14, 1, 2, 4], [v
= 2^(1/2), u = v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [0, 0],
[741455/524288, 1482911/1048576]]]], [[10, 14, 1, 2, 5], [v = 2^(1/2), u = v,
x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [3, 3]]]], [[11,
2, 5, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y
< 1-x), z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-1/2, -1/2], [1, 1], [0, 0]]]], [[11, 4, 3, 3, 1], [2^(1/2) < v, u = -(v^2+1)
^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/4
, -1/4], [-3, -3]]]], [[11, 4, 3, 3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And
(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/4, -1/4], [-10837/
8192, -1387135/1048576]]]], [[11, 4, 3, 3, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2
), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/
2], [-1/4, -1/4], [0, 0]]]], [[11, 4, 3, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/
2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/4, -1/4], [
1387135/1048576, 10837/8192]]]], [[11, 4, 3, 3, 5], [2^(1/2) < v, u = -(v^2+1)
^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/4
, -1/4], [3, 3]]]], [[11, 10, 2, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
-3, 4 < y, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [5, 5], [0, 0]]]], [[11, 11, 10, 6, 1], [2^(1/2) < v, And(
-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = 0, z = z], [
regular_chain, [[3, 3], [0, 0], [8, 8], [0, 0], [0, 0]]]], [[11, 15, 8, 1, 1],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y < u^2-v^2-1, z < -(-y)^(1
/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-3
, -3], [-3, -3]]]], [[11, 15, 8, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 15, 8, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-3, -3],
[-1/4194304, -1/4194304]]]], [[11, 15, 8, 1, 4], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [0, 0], [-3, -3], [908093/524288, 1816187/
1048576]]]], [[11, 15, 8, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= 0, y < u^2-v^2-1, (-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [0, 0], [-3, -3], [3, 3]]]], [[11, 17, 8, 5, 1], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-y)^
(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-\
1062385/4194304, -1062385/4194304], [-2, -2]]]], [[11, 17, 8, 5, 2], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^
(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-\
1062385/4194304, -1062385/4194304], [-527729/1048576, -1055457/2097152]]]], [[
11, 17, 8, 5, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v
^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [0, 0], [-1062385/4194304, -1062385/4194304]
, [-1/4194304, -1/4194304]]]], [[11, 17, 8, 5, 4], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-1062385/
4194304, -1062385/4194304], [32983/65536, 527729/1048576]]]], [[11, 17, 8, 5,
5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0
), (-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
0, 0], [-1062385/4194304, -1062385/4194304], [2, 2]]]], [[1, 1, 1, 1, 1], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-1, -1], [-6, -6]]]], [[1, 1,
1, 1, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z = -(-x-y
)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-1, -1], [-4570637
/1048576, -1142659/262144]]]], [[1, 1, 1, 1, 3], [v < -2^(1/2), u < -(v^2+2)^(
1/2), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-1, -1], [0, 0]]]], [[1, 1, 1
, 1, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z = (-x-y)^
(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [-1, -1], [1142659/
262144, 4570637/1048576]]]], [[1, 1, 1, 1, 5], [v < -2^(1/2), u < -(v^2+2)^(1/
2), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5,
-5], [-18, -18], [-1, -1], [6, 6]]]], [[1, 2, 7, 4, 1], [v < -2^(1/2), u = -(v
^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1,
2, 7, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z =
0], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2]
, [-1/2, -1/2], [0, 0]]]], [[1, 2, 7, 4, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2)
, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 8, 5, 7,
1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2],
[2, 2], [0, 0]]]], [[1, 10, 4, 2, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -\
1, y = -2, z < -3^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[1, 10, 4, 2, 2], [v < -2^
(1/2), u = -(v^2-2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[1, 10, 4, 2, 3], [v < -2^(1/2), u = -(v^2-2)^
(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -\
3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[1, 10, 4, 2, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, y =
-2, z = 3^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[1, 10, 4,
2, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-2,
-2], [3, 3]]]], [[1, 13, 10, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (
v^2-1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [1, 1], [-1, -1], [-1, -1]]]], [[1, 13, 10, 4, 2], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [-1, -1],
[0, 0]]]], [[1, 13, 10, 4, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1
)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [1, 1], [-1, -1], [1, 1]]]], [[1, 15, 9, 7, 1], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-x < y,y < 0), z = z],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-1
/4, -1/4], [0, 0]]]], [[1, 21, 7, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And
(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3
, -3], [5, 5], [1/2, 1/2], [-35/2, -35/2], [-6, -6]]]], [[1, 21, 7, 2, 2], [v
< -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-35/2, -35/2], [
-2161695/524288, -4323389/1048576]]]], [[1, 21, 7, 2, 3], [v < -2^(1/2), (v^2+
2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-35/2,
-35/2], [0, 0]]]], [[1, 21, 7, 2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0
< x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [5, 5], [1/2, 1/2], [-35/2, -35/2], [4323389/1048576, 2161695/524288]]]], [
[1, 21, 7, 2, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2
], [-35/2, -35/2], [6, 6]]]], [[2, 2, 2, 3, 1], [v = -2^(1/2), u = -2, x = -3,
And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[2, 2, 2, 3, 2],
[v = -2^(1/2), u = -2, x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [3/2,
3/2], [-1284239/1048576, -642119/524288]]]], [[2, 2, 2, 3, 3], [v = -2^(1/2),
u = -2, x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [3/2,
3/2], [0, 0]]]], [[2, 2, 2, 3, 4], [v = -2^(1/2), u = -2, x = -3, And(0 < y,y
< 3), z = (3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-2, -2], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[2, 2, 2,
3, 5], [v = -2^(1/2), u = -2, x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [3/2,
3/2], [3, 3]]]], [[2, 9, 10, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, 
And(-u^2 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [1, 1], [-1/8, -1/8], [0, 0]]]], [[2, 11, 8, 1, 1], [v
= -2^(1/2), And(0 < u,u < 1), x = -u^2+1, y < 2*u^2-4, z < -(u^2-y-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [
-5, -5], [-4, -4]]]], [[2, 11, 8, 1, 2], [v = -2^(1/2), And(0 < u,u < 1), x =
-u^2+1, y < 2*u^2-4, z = -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-5, -5], [-2161695/1048576, -\
1080847/524288]]]], [[2, 11, 8, 1, 3], [v = -2^(1/2), And(0 < u,u < 1), x = -u
^2+1, y < 2*u^2-4, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-\
5, -5], [0, 0]]]], [[2, 11, 8, 1, 4], [v = -2^(1/2), And(0 < u,u < 1), x = -u^
2+1, y < 2*u^2-4, z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [3/4, 3/4], [-5, -5], [1080847/524288, 2161695/
1048576]]]], [[2, 11, 8, 1, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, y
< 2*u^2-4, (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [3/4, 3/4], [-5, -5], [4, 4]]]], [[2, 17, 7, 5, 1], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-x < y,y < 0), z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [-252733/2097152, -252733/
2097152], [0, 0]]]], [[2, 19, 4, 8, 1], [v = -2^(1/2), 2 < u, x = -1, y = u^2-\
2, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -\
1], [7, 7], [0, 0]]]], [[3, 3, 9, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-5, -\
5], [-4, -4]]]], [[3, 3, 9, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-5, -\
5], [-2164401/1048576, -135275/65536]]]], [[3, 3, 9, 1, 3], [And(-2^(1/2) < v,
v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [-5, -5], [0, 0]]]], [[3, 3, 9, 1, 4], [And(-
2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/
1048576, 775271/1048576], [-5, -5], [135275/65536, 2164401/1048576]]]], [[3, 3
, 9, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [-5, -5], [4, 4]]]], [[3,
5, 8, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0,
y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-1538813/
1048576, -384703/262144], [-3, -3]]]], [[3, 5, 8, 2, 2], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [0, 0], [-1538813/1048576, -384703/262144], [-1270261/
1048576, -317565/262144]]]], [[3, 5, 8, 2, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [0, 0], [-1538813/1048576, -384703/
262144], [0, 0]]]], [[3, 5, 8, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1538813/1048576, -384703/262144], [317565/262144,
1270261/1048576]]]], [[3, 5, 8, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1538813/1048576, -384703/262144], [3, 3]]]], [[3,
11, 7, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u
^2+v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [0, 0], [-2, -2]]]], [[3, 11, 7, 6, 2], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [0, 0], [-485927
/1048576, -242963/524288]]]], [[3, 11, 7, 6, 3], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/
2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [0, 0]
, [0, 0]]]], [[3, 11, 7, 6, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
450371/2097152, -450371/2097152], [0, 0], [242963/524288, 485927/1048576]]]],
[[3, 11, 7, 6, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 
And(-u^2+v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [0, 0], [2, 2]]]], [[3, 13, 8, 5, 1], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [0, 0], [-139585/524288, -139585/524288], [-2, -2]]
]], [[3, 13, 8, 5, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)
), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0]
, [-139585/524288, -139585/524288], [-1082093/2097152, -270523/524288]]]], [[3
, 13, 8, 5, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [-139585/524288, -139585/524288], [0, 0]]]], [[3, 13
, 8, 5, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, 
And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-139585/524288
, -139585/524288], [270523/524288, 541047/1048576]]]], [[3, 13, 8, 5, 5], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y
,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [0, 0], [-139585/524288, -139585/524288
], [2, 2]]]], [[3, 13, 8, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), x = 0, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [1, 1], [0, 0]]]
], [[3, 15, 8, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-4, -4], [-3, -3]]]], [[3, 15, 8, 1
, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [-4, -4], [-15741305/8388608, -1967663/1048576]]]], [
[3, 15, 8, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-
u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-4, -4], [0,
0]]]], [[3, 15, 8, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-4, -4], [1967663/1048576, 122979/
65536]]]], [[3, 15, 8, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [501965/1048576, 250983/524288], [-4, -4], [3, 3]]]], [[4, 3,
9, 4, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = -
x, z < 0], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [-1546383/2097152, -1546383/2097152], [-1,
-1]]]], [[4, 3, 9, 4, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 <
x,x < 1), y = -x, z = 0], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-1546383/2097152, -\
1546383/2097152], [0, 0]]]], [[4, 3, 9, 4, 3], [v = -1, And(-3^(1/2) < u,u < -
2^(1/2)), And(u^2-2 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-\
1546383/2097152, -1546383/2097152], [1, 1]]]], [[4, 5, 8, 5, 1], [v = -1, And(
-2^(1/2) < u,u < -1), x = 0, And(u^2-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
569265/2097152, -569265/2097152], [-2, -2]]]], [[4, 5, 8, 5, 2], [v = -1, And(
-2^(1/2) < u,u < -1), x = 0, And(u^2-2 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
569265/2097152, -569265/2097152], [-273157/524288, -1092627/2097152]]]], [[4,
5, 8, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, And(u^2-2 < y,y < 0), 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [0, 0], [-569265/2097152, -569265/2097152], [-1/
4194304, -1/4194304]]]], [[4, 5, 8, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1),
x = 0, And(u^2-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-569265/2097152, -569265/2097152]
, [546313/1048576, 273157/524288]]]], [[4, 5, 8, 5, 5], [v = -1, And(-2^(1/2)
< u,u < -1), x = 0, And(u^2-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-569265/2097152, -\
569265/2097152], [2, 2]]]], [[4, 9, 9, 1, 1], [v = -1, And(0 < u,u < 1), And(0
< x,x < 1), y < u^2-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2,
1/2], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[4, 9, 9, 1, 2], [v = -1, And(0 < u,
u < 1), And(0 < x,x < 1), y < u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [1/2, 1/2], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]
], [[4, 9, 9, 1, 3], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y < u^2-x-2,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2
], [1/2, 1/2], [-4, -4], [0, 0]]]], [[4, 9, 9, 1, 4], [v = -1, And(0 < u,u < 1
), And(0 < x,x < 1), y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [1/2, 1/2], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[4,
9, 9, 1, 5], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y < u^2-x-2, (-x-y)^
(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-4, -4], [3, 3
]]]], [[4, 11, 9, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), 0
< y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1
/2, 1/2], [1, 1], [0, 0]]]], [[5, 2, 1, 8, 1], [And(-1 < v,v < 0), u = -(v^2+2
)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2],
[-4, -4], [5, 5], [0, 0]]]], [[5, 3, 10, 4, 1], [And(-1 < v,v < 0), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-1/
2, -1/2], [-343151/262144, -343151/262144], [1, 1], [-1, -1], [-1, -1]]]], [[5
, 3, 10, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [1, 1], [-1, -1], [0, 0]]]], [[5, 3, 10, 4, 3], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, 0 < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [-1, -\
1], [1, 1]]]], [[5, 11, 10, 9, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [343151
/262144, 343151/262144], [1, 1], [1, 1], [0, 0]]]], [[5, 13, 8, 3, 1], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-47/8, -47/8], [-4, -4
]]]], [[5, 13, 8, 3, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, And(-u^
2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3]
, [1, 1], [-47/8, -47/8], [-1157597/524288, -2315193/1048576]]]], [[5, 13, 8,
3, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1
), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3
, 3], [1, 1], [-47/8, -47/8], [0, 0]]]], [[5, 13, 8, 3, 4], [And(-1 < v,v < 0)
, (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-47/8, -47/8], [2315193/1048576
, 1157597/524288]]]], [[5, 13, 8, 3, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [3, 3], [1, 1], [-47/8, -47/8], [4, 4]]]], [[6, 5, 11, 4, 1], [v = 0,
And(-1 < u,u < 0), 1 < x, y = u^2-x-1, z < -(-u^2+1)^(1/2)], [regular_chain, [
[0, 0], [-1/2, -1/2], [2, 2], [-11/4, -11/4], [-2, -2]]]], [[6, 5, 11, 4, 2],
[v = 0, And(-1 < u,u < 0), 1 < x, y = u^2-x-1, z = -(-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-11/4, -11/4], [-1816187/
2097152, -3632373/4194304]]]], [[6, 5, 11, 4, 3], [v = 0, And(-1 < u,u < 0), 1
< x, y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [regular_chain
, [[0, 0], [-1/2, -1/2], [2, 2], [-11/4, -11/4], [-1/8388608, -1/8388608]]]],
[[6, 5, 11, 4, 4], [v = 0, And(-1 < u,u < 0), 1 < x, y = u^2-x-1, z = (-u^2+1)
^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-11/4, -11/4], [
908093/1048576, 454047/524288]]]], [[6, 5, 11, 4, 5], [v = 0, And(-1 < u,u < 0
), 1 < x, y = u^2-x-1, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1
/2], [2, 2], [-11/4, -11/4], [2, 2]]]], [[6, 8, 1, 3, 1], [v = 0, u = 1, x < -\
2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [
-3, -3], [1/2, 1/2], [-3, -3]]]], [[6, 8, 1, 3, 2], [v = 0, u = 1, x < -2, And
(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3
], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[6, 8, 1, 3, 3], [v = 0
, u = 1, x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[0, 0], [1, 1], [-3, -3], [1/2, 1/2], [0, 0]]]], [[6, 8, 1,
3, 4], [v = 0, u = 1, x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[6, 8, 1, 3, 5], [v = 0, u = 1, x < -2, And(0 < y,y < -x-2), (-x
-y)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [1/2, 1/2], [3, 3]]
]], [[6, 11, 9, 1, 1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), y < -u^2-x-1
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-16, -16],
[-5, -5]]]], [[6, 11, 9, 1, 2], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), y <
-u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-\
16, -16], [-3555895/1048576, -1777947/524288]]]], [[6, 11, 9, 1, 3], [v = 0, 2
^(1/2) < u, And(1 < x,x < u^2-1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-16, -16], [0, 0]]]]
, [[6, 11, 9, 1, 4], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), y < -u^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-16, -16], [
1777947/524288, 3555895/1048576]]]], [[6, 11, 9, 1, 5], [v = 0, 2^(1/2) < u, 
And(1 < x,x < u^2-1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0]
, [3, 3], [9/2, 9/2], [-16, -16], [5, 5]]]], [[7, 2, 4, 4, 1], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[1/2, 1/2], [
-3/2, -3/2], [-1, -1], [0, 0], [-2, -2]]]], [[7, 2, 4, 4, 2], [And(0 < v,v < 1
), u = -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[1/2, 1/2], [-\
3/2, -3/2], [-1, -1], [0, 0], [-1, -1]]]], [[7, 2, 4, 4, 3], [And(0 < v,v < 1)
, u = -(v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/2
, 1/2], [-3/2, -3/2], [-1, -1], [0, 0], [0, 0]]]], [[7, 2, 4, 4, 4], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/
2], [-3/2, -3/2], [-1, -1], [0, 0], [1, 1]]]], [[7, 2, 4, 4, 5], [And(0 < v,v
< 1), u = -(v^2+2)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-1, -1], [0, 0], [2, 2]]]], [[7, 8, 2, 3, 1], [And(0 < v,v < 1)
, u = v, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [1/2, 1/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[7, 8, 2, 3, 2], [And(0 <
v,v < 1), u = v, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1/2, 1/2], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[7, 8, 2, 3, 3], [And(0 < v,v < 1), u = v, x = -1, And(0 < y,y <
1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2,
1/2], [-1, -1], [1/2, 1/2], [0, 0]]]], [[7, 8, 2, 3, 4], [And(0 < v,v < 1), u
= v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[1/2, 1/2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[7, 8, 2,
3, 5], [And(0 < v,v < 1), u = v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[7,
10, 3, 6, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x
, z < 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2
, -3/2], [3/2, 3/2], [-1, -1]]]], [[7, 10, 3, 6, 2], [And(0 < v,v < 1), u = (v
^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[7, 10
, 3, 6, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x,
0 < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2,
-3/2], [3/2, 3/2], [1, 1]]]], [[7, 10, 4, 3, 1], [And(0 < v,v < 1), u = (v^2+1
)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1/2,
1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [
[7, 10, 4, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[7, 
10, 4, 3, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[7, 10, 4, 3, 4],
[And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1],
[-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[7, 10, 4, 3, 5], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1/2,
-1/2], [3, 3]]]], [[7, 12, 2, 3, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x =
-3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/
2], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[7, 12, 2, 3, 2], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [3/2, 3/2], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/
524288]]]], [[7, 12, 2, 3, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, 
And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1/
2, 1/2], [3/2, 3/2], [-3, -3], [3/2, 3/2], [0, 0]]]], [[7, 12, 2, 3, 4], [And(
0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [3/2, 3/2], [642119/524288,
1284239/1048576]]]], [[7, 12, 2, 3, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-3, -3], [3/2, 3/2], [3, 3]]]], [[8, 4, 4, 5, 1], [v = 1, u = -2^(1/2),
x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[8, 4, 4
, 5, 2], [v = 1, u = -2^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/
2], [-1482911/2097152, -741455/1048576]]]], [[8, 4, 4, 5, 3], [v = 1, u = -2^(
1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[8, 4, 4, 5, 4], [v = 1, u = -2^(1/2), x = -1, And(0 < y,y < 1
), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[8, 4, 4, 5,
5], [v = 1, u = -2^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[8, 6, 3, 2, 1], [v = 1, u = -1, And(-1 < x,x < 0), y = -1-x,
z < -1], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [-2, -\
2]]]], [[8, 6, 3, 2, 2], [v = 1, u = -1, And(-1 < x,x < 0), y = -1-x, z = -1],
[regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[
8, 6, 3, 2, 3], [v = 1, u = -1, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)
], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [
[8, 6, 3, 2, 4], [v = 1, u = -1, And(-1 < x,x < 0), y = -1-x, z = 1], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[8,
6, 3, 2, 5], [v = 1, u = -1, And(-1 < x,x < 0), y = -1-x, 1 < z], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[8,
10, 4, 4, 1], [v = 1, u = 1, x = 0, y = 0, z < 0], [regular_chain, [[1, 1], [1
, 1], [0, 0], [0, 0], [-1, -1]]]], [[8, 10, 4, 4, 2], [v = 1, u = 1, x = 0, y
= 0, z = 0], [regular_chain, [[1, 1], [1, 1], [0, 0], [0, 0], [0, 0]]]], [[8,
10, 4, 4, 3], [v = 1, u = 1, x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [1
, 1], [0, 0], [0, 0], [1, 1]]]], [[8, 12, 5, 1, 1], [v = 1, u = 2^(1/2), And(-\
1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[8, 12, 5, 1,
2], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3, -\
3], [-7846825/4194304, -980853/524288]]]], [[8, 12, 5, 1, 3], [v = 1, u = 2^(1
/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3, -\
3], [0, 0]]]], [[8, 12, 5, 1, 4], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y <
-x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[8, 12
, 5, 1, 5], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z
], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-\
3, -3], [3, 3]]]], [[9, 2, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/
2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [
-1/4, -1/4], [0, 0]]]], [[9, 4, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1
)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[9, 4, 5, 3, 2], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072,
-1172343/1048576]]]], [[9, 4, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[9, 4, 5, 3
, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3/4, -3/4], [
1172343/1048576, 146543/131072]]]], [[9, 4, 5, 3, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319
/2097152], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[9, 12, 5, 2, 1], [And(1 <
v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1
/2], [-3/2, -3/2], [-2, -2]]]], [[9, 12, 5, 2, 2], [And(1 < v,v < 2^(1/2)), u
= v, And(0 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-3/2, -3/2]
, [-1, -1]]]], [[9, 12, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x
< 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [0, 0
]]]], [[9, 12, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y =
-1-x, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[9, 12, 5, 2,
5], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[9, 14, 5, 4, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[9, 14, 5, 4, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[9, 14
, 5, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [0, 0], [0,
0]]]], [[9, 14, 5, 4, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 <
x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[9, 14, 5, 4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2
+1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1
/2], [0, 0], [2, 2]]]], [[10, 2, 7, 8, 1], [v = 2^(1/2), u = -2, And(0 < x,x <
1), y = 1-x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -\
2], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[10, 4, 5, 6, 1], [v = 2^(1/2), u = -3
^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/2, 1/
2], [-1, -1]]]], [[10, 4, 5, 6, 2], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x <
0), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[10,
4, 5, 6, 3], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10, 8, 7, 3, 1], [v = 2^(1/2)
, u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-3/2,
-3/2], [-2, -2]]]], [[10, 8, 7, 3, 2], [v = 2^(1/2), u = -1, And(0 < x,x < 1),
And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[10, 8, 7,
3, 3], [v = 2^(1/2), u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[10, 8, 7, 3, 4], [v
= 2^(1/2), u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-3/2
, -3/2], [1, 1]]]], [[10, 8, 7, 3, 5], [v = 2^(1/2), u = -1, And(0 < x,x < 1),
And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[10, 10, 4,
6, 1], [v = 2^(1/2), u = 0, x = -1, y = 1, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1], [-1, -1]]]], [[10, 10, 4,
6, 2], [v = 2^(1/2), u = 0, x = -1, y = 1, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[10, 10, 4, 6,
3], [v = 2^(1/2), u = 0, x = -1, y = 1, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[10, 16, 3, 2,
1], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[10, 16, 3, 2, 2], [v = 2^
(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [
[10, 16, 3, 2, 3], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x-2, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/2, -1/2], [0, 0]
]]], [[10, 16, 3, 2, 4], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x
-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/
1048576]]]], [[10, 16, 3, 2, 5], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1)
, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[10,
18, 1, 4, 1], [v = 2^(1/2), u = 2, x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1, 1], [-\
3, -3]]]], [[10, 18, 1, 4, 2], [v = 2^(1/2), u = 2, x < -3, y = -x-3, z = -3^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1
, 1], [-1816187/1048576, -3632373/2097152]]]], [[10, 18, 1, 4, 3], [v = 2^(1/2
), u = 2, x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1, 1], [-1/4194304, -1/
4194304]]]], [[10, 18, 1, 4, 4], [v = 2^(1/2), u = 2, x < -3, y = -x-3, z = 3^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [
1, 1], [908093/524288, 1816187/1048576]]]], [[10, 18, 1, 4, 5], [v = 2^(1/2),
u = 2, x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-4, -4], [1, 1], [3, 3]]]], [[10, 18, 2, 1, 1], [v
= 2^(1/2), u = 2, x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-3, -3], [-1, -1], [-3, -3]]]], [[10, 18, 2
, 1, 2], [v = 2^(1/2), u = 2, x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-1, -1], [-2, -2]]]],
[[10, 18, 2, 1, 3], [v = 2^(1/2), u = 2, x = -3, y < 0, And(-(3-y)^(1/2) < z,z
< (3-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-\
3, -3], [-1, -1], [0, 0]]]], [[10, 18, 2, 1, 4], [v = 2^(1/2), u = 2, x = -3,
y < 0, z = (3-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2
, 2], [-3, -3], [-1, -1], [2, 2]]]], [[10, 18, 2, 1, 5], [v = 2^(1/2), u = 2,
x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [-1, -1], [3, 3]]]], [[10, 19, 9, 9, 1], [v = 2^(1
/2), 2 < u, And(1 < x,x < u^2-3), u^2-x-3 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [4, 4], [0, 0]]]], [[11,
6, 3, 2, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = -1-x, z < -1], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[
11, 6, 3, 2, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = -1-x, z = -1], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[
11, 6, 3, 2, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = -1-x, And(-1 < z
,z < 1)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [0, 0
]]]], [[11, 6, 3, 2, 4], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = -1-x, z
= 1], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]]
, [[11, 6, 3, 2, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = -1-x, 1 < z]
, [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[
11, 8, 3, 6, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x,
z < 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2,
-3/2], [3/2, 3/2], [-1, -1]]]], [[11, 8, 3, 6, 2], [2^(1/2) < v, u = -(v^2-1)^
(1/2), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[11, 8, 3,
6, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
3/2, 3/2], [1, 1]]]], [[11, 11, 11, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = -x, z < 0], [regular_chain, [[3, 3],
[0, 0], [9, 9], [-9, -9], [-1, -1]]]], [[11, 11, 11, 4, 2], [2^(1/2) < v, And(
-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = -x, z = 0], [
regular_chain, [[3, 3], [0, 0], [9, 9], [-9, -9], [0, 0]]]], [[11, 11, 11, 4,
3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y
= -x, 0 < z], [regular_chain, [[3, 3], [0, 0], [9, 9], [-9, -9], [1, 1]]]], [[
11, 13, 8, 3, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [-7392521/4194304, -7392521/4194304], [-3, -3]]]], [[11, 13,
8, 3, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2
-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [-7392521/4194304, -7392521/4194304], [-1174299/1048576, -\
587149/524288]]]], [[11, 13, 8, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-
v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [-7392521/
4194304, -7392521/4194304], [0, 0]]]], [[11, 13, 8, 3, 4], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u
^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [133259/262144, 533037/1048576], [-7392521/4194304, -7392521/
4194304], [587149/524288, 1174299/1048576]]]], [[11, 13, 8, 3, 5], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 <
y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [133259/262144, 533037/1048576], [-7392521/4194304, -\
7392521/4194304], [3, 3]]]], [[11, 19, 8, 4, 1], [2^(1/2) < v, And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 
518045/1048576], [-518045/1048576, -129511/262144], [-1, -1]]]], [[11, 19, 8,
4, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1,
y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [129511/262144, 518045/1048576], [-518045/1048576, -129511/262144],
[0, 0]]]], [[11, 19, 8, 4, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-518045/
1048576, -129511/262144], [1, 1]]]], [[11, 21, 5, 3, 1], [2^(1/2) < v, (v^2+2)
^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-33/4, -33/4], [-4, -4]]]],
[[11, 21, 5, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u
^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-\
1/2, -1/2], [-33/4, -33/4], [-49627675/16777216, -24813837/8388608]]]], [[11,
21, 5, 3, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2
-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3
, 3], [5, 5], [-1/2, -1/2], [-33/4, -33/4], [-5/16777216, -5/16777216]]]], [[
11, 21, 5, 3, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2
+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2
, -1/2], [-33/4, -33/4], [3101729/1048576, 1550865/524288]]]], [[11, 21, 5, 3,
5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-33/4
, -33/4], [4, 4]]]], [[1, 4, 5, 7, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(
-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1, 6, 4, 4, 1], [v < -2^(1/2
), u = v, x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [
0, 0], [-1, -1]]]], [[1, 6, 4, 4, 2], [v < -2^(1/2), u = v, x = 0, y = 0, z =
0], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[1, 6, 4,
4, 3], [v < -2^(1/2), u = v, x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3],
[-3, -3], [0, 0], [0, 0], [1, 1]]]], [[1, 12, 1, 8, 1], [v < -2^(1/2), u = (v^
2-2)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-4, -4], [5, 5], [0, 0]]]], [[1, 13, 9, 9, 1], [v < -2^
(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), 0
< y, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
1581613/2097152, 1581613/2097152], [1, 1], [0, 0]]]], [[1, 17, 10, 7, 1], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-1/2, -1/2]
, [0, 0]]]], [[1, 19, 9, 6, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/
2097152], [-265267/1048576, -132633/524288], [0, 0]]]], [[2, 3, 11, 2, 1], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-3, -3]]]], [[
2, 3, 11, 2, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1,
z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576
], [-825991/524288, -3303963/2097152]]]], [[2, 3, 11, 2, 3], [v = -2^(1/2), 
And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2
-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-1/
4194304, -1/4194304]]]], [[2, 3, 11, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(
1/2)), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2], [-\
1174943/262144, -4699771/1048576], [1651981/1048576, 825991/524288]]]], [[2, 3
, 11, 2, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1, (u^
2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576
], [3, 3]]]], [[2, 5, 10, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1
, y < -u^2, z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1, 1], [-4, -4], [-3, -3]]]],
[[2, 5, 10, 1, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y < -u^2, z
= -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[2, 5, 10, 1, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v)
, x = 1, y < -u^2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1,
1], [-4, -4], [-1/4194304, -1/4194304]]]], [[2, 5, 10, 1, 4], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), x = 1, y < -u^2, z = (-y-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1,
1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[2, 5, 10, 1, 5], [v = -2^
(1/2), And(-3^(1/2) < u,u < v), x = 1, y < -u^2, (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-4, -4], [3, 3]]]], [[2, 5, 10, 6, 1], [v = -2^(1/2
), And(-3^(1/2) < u,u < v), x = 1, y = -1, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1, 1], [-1, -\
1], [-1, -1]]]], [[2, 5, 10, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x
= 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-1, -1], [0, 0]]]], [[2, 5, 10, 6
, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = -1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-1, -1], [1, 1]]]], [[2, 7, 11, 1, 1], [v = -2^(1/2
), And(v < u,u < -1), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2,
2], [-5, -5], [-3, -3]]]], [[2, 7, 11, 1, 2], [v = -2^(1/2), And(v < u,u < -1)
, 1 < x, y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[2, 7, 11, 1, 3], [v = -2^(1/2), And(v
< u,u < -1), 1 < x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[2, 7, 11, 1
, 4], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y < u^2-x-3, z = (-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[2,
7, 11, 1, 5], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y < u^2-x-3, (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [2, 2], [-5, -5], [3, 3]]]], [[2, 13, 7, 6, 1], [v
= -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-239655/1048576, -239655/1048576], [0, 0], [-2, -2]]]], [[2, 13, 7
, 6, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = 0, z = -
(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [0, 0], [-\
501295/1048576, -250647/524288]]]], [[2, 13, 7, 6, 3], [v = -2^(1/2), And(1 <
u,u < -v), And(-u^2+1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-239655/1048576, -239655/1048576], [0, 0], [0, 0]]]], [[2, 13, 7,
6, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = 0, z = (-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [0, 0], [250647
/524288, 501295/1048576]]]], [[2, 13, 7, 6, 5], [v = -2^(1/2), And(1 < u,u < -
v), And(-u^2+1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [0, 0], [2, 2]]]], [[2, 15, 8, 1, 1], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = 0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0],
[-3, -3], [-3, -3]]]], [[2, 15, 8, 1, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x = 0, y < -u^2+1, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [0, 0], [-3, -3], [-\
1816187/1048576, -3632373/2097152]]]], [[2, 15, 8, 1, 3], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = 0, y < -u^2+1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[2, 15, 8, 1, 4], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, y < -u^2+1, z = (-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[2, 15, 8, 1
, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, y < -u^2+1, (-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [0, 0], [-3, -3], [3, 3]]]], [[2, 19, 5, 3, 1], [v = -2^(1/2
), 2 < u, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-15
/4, -15/4], [-4, -4]]]], [[2, 19, 5, 3, 2], [v = -2^(1/2), 2 < u, And(-1 < x,x
< 0), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-15/4, -15/4], [-2161695/
1048576, -1080847/524288]]]], [[2, 19, 5, 3, 3], [v = -2^(1/2), 2 < u, And(-1
< x,x < 0), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-\
15/4, -15/4], [0, 0]]]], [[2, 19, 5, 3, 4], [v = -2^(1/2), 2 < u, And(-1 < x,x
< 0), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-15/4, -15/4], [1080847/
524288, 2161695/1048576]]]], [[2, 19, 5, 3, 5], [v = -2^(1/2), 2 < u, And(-1 <
x,x < 0), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [-15/4, -15/4], [4, 4]
]]], [[3, 1, 11, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2
-1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [8, 8], [-8673241/524288, -17346481/
1048576], [-4, -4]]]], [[3, 1, 11, 2, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2
+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-\
8673241/524288, -17346481/1048576], [-1532401/524288, -24518415/8388608]]]], [
[3, 1, 11, 2, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-\
8673241/524288, -17346481/1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 11,
2, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+
v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [8, 8], [-8673241/524288, -17346481/1048576], [3064801/
1048576, 1532401/524288]]]], [[3, 1, 11, 2, 5], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-\
8673241/524288, -17346481/1048576], [4, 4]]]], [[3, 7, 9, 5, 1], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-5995787/8388608,
-5995787/8388608], [-2, -2]]]], [[3, 7, 9, 5, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [-5995787/8388608, -5995787/
8388608], [-242963/524288, -485925/1048576]]]], [[3, 7, 9, 5, 3], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x
-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [-5995787/8388608, -5995787/8388608], [0, 0]]]], [[3, 7, 9, 5, 4], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And
(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2],
[-5995787/8388608, -5995787/8388608], [485925/1048576, 242963/524288]]]], [[3,
7, 9, 5, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [-5995787/8388608, -5995787/8388608], [2, 2]]]], [[3, 9, 8, 2, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+
v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-6111547
/2097152, -24446187/8388608], [-3, -3]]]], [[3, 9, 8, 2, 2], [And(-2^(1/2) < v
,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2
-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [239655/524288, 479311/1048576], [-6111547/2097152, -\
24446187/8388608], [-410915/262144, -3287319/2097152]]]], [[3, 9, 8, 2, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+
v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/524288,
479311/1048576], [-6111547/2097152, -24446187/8388608], [-1/4194304, -1/
4194304]]]], [[3, 9, 8, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/
524288, 479311/1048576], [-6111547/2097152, -24446187/8388608], [1643659/
1048576, 410915/262144]]]], [[3, 9, 8, 2, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [239655/524288, 479311/1048576], [-6111547/2097152, -24446187/8388608], [3,
3]]]], [[3, 17, 5, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [7909297/2097152, 7909297/
2097152], [0, 0]]]], [[4, 1, 11, 6, 1], [v = -1, u < -3^(1/2), u^2-2 < x, y =
u^2-x-2, z = z], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-1, -1], [0, 0]
]]], [[4, 7, 9, 7, 1], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), And(-x <
y,y < 0), z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1/4,
-1/4], [0, 0]]]], [[4, 9, 8, 4, 1], [v = -1, And(0 < u,u < 1), x = 0, y = -u^2
, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [-2, -\
2]]]], [[4, 9, 8, 4, 2], [v = -1, And(0 < u,u < 1), x = 0, y = -u^2, z = -u],
[regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [-1/2, -1/2]]]],
[[4, 9, 8, 4, 3], [v = -1, And(0 < u,u < 1), x = 0, y = -u^2, And(-u < z,z < u
)], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [0, 0]]]], [[
4, 9, 8, 4, 4], [v = -1, And(0 < u,u < 1), x = 0, y = -u^2, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [1/2, 1/2]]]], [[4
, 9, 8, 4, 5], [v = -1, And(0 < u,u < 1), x = 0, y = -u^2, u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [2, 2]]]], [[4, 13
, 9, 6, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = u
^2-x-2, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[773191/1048576, 773191/1048576], [-137693/524288, -275385/1048576], [0, 0]]]]
, [[4, 15, 6, 3, 1], [v = -1, 3^(1/2) < u, x = 0, And(-u^2 < y,y < 0), z < -(-
y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-9/2, -9/2], [-4, -4]]]
], [[4, 15, 6, 3, 2], [v = -1, 3^(1/2) < u, x = 0, And(-u^2 < y,y < 0), z = -(
-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-9/2, -9/2], [-1112183
/524288, -2224365/1048576]]]], [[4, 15, 6, 3, 3], [v = -1, 3^(1/2) < u, x = 0,
And(-u^2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-\
1, -1], [3, 3], [0, 0], [-9/2, -9/2], [0, 0]]]], [[4, 15, 6, 3, 4], [v = -1, 3
^(1/2) < u, x = 0, And(-u^2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1,
-1], [3, 3], [0, 0], [-9/2, -9/2], [2224365/1048576, 1112183/524288]]]], [[4,
15, 6, 3, 5], [v = -1, 3^(1/2) < u, x = 0, And(-u^2 < y,y < 0), (-y)^(1/2) < z
], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-9/2, -9/2], [4, 4]]]], [[5, 5,
9, 8, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1),
y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [0, 0], [0, 0]]]], [[5, 7, 10, 3, 1], [And(-1 < v,v < 0)
, And(v < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z < -(-y-1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-2, -2], [-2, -2]]]], [[5
, 7, 10, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, And(u^2-v^2-2 <
y,y < -u^2+v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[1, 1], [-2, -2], [-1, -1]]]], [[5, 7, 10, 3, 3], [And(-1 < v,v < 0), And(v <
u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-2, -2], [0, 0
]]]], [[5, 7, 10, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, And(u^2
-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [1, 1], [-2, -2], [1, 1]]]], [[5, 7, 10, 3, 5], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), (-y-1)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-2, -2], [2, 2]]]], [[5, 7,
11, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y < u^2-v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-5, -5], [-3,
-3]]]], [[5, 7, 11, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y < u
^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2],
[-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[5, 7, 11, 1, 3], [And(-1
< v,v < 0), And(v < u,u < -v), 1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-5, -5], [-1
/4194304, -1/4194304]]]], [[5, 7, 11, 1, 4], [And(-1 < v,v < 0), And(v < u,u <
-v), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[5, 7, 11, 1,
5], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-5, -5], [3, 3]]]], [[
5, 9, 11, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And
(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [-9637445/4194304, -9637445/4194304
], [-2, -2]]]], [[5, 9, 11, 5, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^
(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-9637445/4194304
, -9637445/4194304], [-1144335/2097152, -572167/1048576]]]], [[5, 9, 11, 5, 3]
, [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -\
1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-9637445/4194304, -9637445/
4194304], [0, 0]]]], [[5, 9, 11, 5, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^
2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-\
9637445/4194304, -9637445/4194304], [572167/1048576, 71521/131072]]]], [[5, 9,
11, 5, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v
^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [2, 2], [-9637445/4194304, -9637445/4194304], [2,
2]]]], [[6, 2, 3, 8, 1], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y = 1-x, z
= z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [
3, 3], [0, 0]]]], [[6, 3, 11, 7, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x,
And(u^2-x-1 < y,y < 0), z = z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-1617841/2097152, -1617841/2097152], [0, 0]]]], [[6
, 8, 1, 7, 1], [v = 0, u = 1, x < -2, -x < y, z = z], [regular_chain, [[0, 0],
[1, 1], [-3, -3], [4, 4], [0, 0]]]], [[6, 9, 11, 6, 1], [v = 0, And(1 < u,u <
2^(1/2)), 1 < x, y = u^2-x-1, z = z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [2, 2], [-3235683/2097152, -1617841/1048576], [0, 0
]]]], [[7, 4, 2, 2, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, y = 0,
z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576]
, [-2, -2], [0, 0], [-3, -3]]]], [[7, 4, 2, 2, 2], [And(0 < v,v < 1), u = -(v^
2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455
/524288]]]], [[7, 4, 2, 2, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2,
y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-2, -2], [0, 0], [0, 0]]]], [[7, 4, 2, 2, 4], [And
(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain
, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [0, 0], [741455/
524288, 1482911/1048576]]]], [[7, 4, 2, 2, 5], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-2, -2], [0, 0], [3, 3]]]], [[7, 5, 11, 8, 1], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [0,
0], [0, 0]]]], [[7, 13, 10, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u
^2-v^2-1, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [1
, 1], [0, 0]]]], [[8, 2, 6, 1, 1], [v = 1, u = -3^(1/2), x = 0, y < -3, z < -(
-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0,
0], [-4, -4], [-3, -3]]]], [[8, 2, 6, 1, 2], [v = 1, u = -3^(1/2), x = 0, y <
-3, z = -(-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [0, 0], [-4, -4], [-2, -2]]]], [[8, 2, 6, 1, 3], [v = 1, u = -3^(1/2
), x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1
], [-1816187/1048576, -3632373/2097152], [0, 0], [-4, -4], [0, 0]]]], [[8, 2,
6, 1, 4], [v = 1, u = -3^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain
, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [-4, -4], [2, 2]]]],
[[8, 2, 6, 1, 5], [v = 1, u = -3^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [-4, -4]
, [3, 3]]]], [[8, 8, 4, 6, 1], [v = 1, u = 0, x = -1, y = 1, z < 0], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [1, 1], [-1, -1]]]], [[8, 8, 4, 6, 2
], [v = 1, u = 0, x = -1, y = 1, z = 0], [regular_chain, [[1, 1], [0, 0], [-1,
-1], [1, 1], [0, 0]]]], [[8, 8, 4, 6, 3], [v = 1, u = 0, x = -1, y = 1, 0 < z]
, [regular_chain, [[1, 1], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[8, 10, 3, 7,
1], [v = 1, u = 1, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1, 1],
[1, 1], [-1/2, -1/2], [2, 2], [0, 0]]]], [[8, 14, 3, 6, 1], [v = 1, u = 3^(1/2
), And(-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[1, 1], [908093/524288
, 1816187/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[8, 14, 3, 6, 2], [v = 1,
u = 3^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-2, -2], [2, 2], [0, 0]]]], [[8, 14, 3, 6, 3
], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [1, 1]]]], [[8, 15,
11, 9, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, 0 < y, z = z], [regular_chain, [[1,
1], [3, 3], [8, 8], [1, 1], [0, 0]]]], [[9, 6, 5, 2, 1], [And(1 < v,v < 2^(1/2
)), u = -v, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
-3/2, -3/2], [-2, -2]]]], [[9, 6, 5, 2, 2], [And(1 < v,v < 2^(1/2)), u = -v, 
And(0 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3/2, -3/
2], [-1, -1]]]], [[9, 6, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,
x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3/2, -3/
2], [0, 0]]]], [[9, 6, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x
< 1), y = -1-x, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[9,
6, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y = -1-x, 1 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[9, 8, 6, 1, 1], [And(
1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [0, 0], [-3, -3], [-3, -3]]]], [[9, 8, 6, 1, 2], [And(1 < v,v < 2^(1
/2)), u = -(v^2-1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0],
[-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[9, 8, 6, 1, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[9,
8, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y < -2, z = (
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]
], [[9, 8, 6, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y < -\
2, (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [0, 0], [-3, -3], [3, 3]]]], [[9, 8, 6, 2, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y = -2, z < -2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [0, 0], [-2, -2], [-3, -3]]]], [[9, 8, 6, 2, 2], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0
], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[9, 8, 6, 2, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [0, 0], [-2, -2], [0, 0]]]], [[9, 8, 6, 2, 4], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0],
[-2, -2], [741455/524288, 1482911/1048576]]]], [[9, 8, 6, 2, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0]
, [-2, -2], [3, 3]]]], [[9, 10, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)
^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[9, 10, 5, 3, 2], [And(1 <
v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343
/1048576]]]], [[9, 10, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[9, 10, 5, 3, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576,
146543/131072]]]], [[9, 10, 5, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/
2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -\
1/2], [-3/4, -3/4], [3, 3]]]], [[9, 16, 4, 1, 1], [And(1 < v,v < 2^(1/2)), u =
(v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-3, -3]
, [-3, -3]]]], [[9, 16, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[
9, 16, 4, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y < -2, 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-3, -3], [0, 0]]
]], [[9, 16, 4, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y <
-2, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[9, 16, 4, 1,
5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y < -2, (1-y)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1, -1], [-3, -3], [3, 3]]]], [[10, 1, 1, 4, 1], [v = 2^(1/
2), u < -2, x < -u^2+1, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [1, 1], [-4, -4]]]], [[10
, 1, 1, 4, 2], [v = 2^(1/2), u < -2, x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [
1, 1], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 1, 4, 3], [v = 2^(1/
2), u < -2, x < -u^2+1, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [1,
1], [-3/8388608, -3/8388608]]]], [[10, 1, 1, 4, 4], [v = 2^(1/2), u < -2, x <
-u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-9, -9], [1, 1], [741455/262144, 2965821/1048576]
]]], [[10, 1, 1, 4, 5], [v = 2^(1/2), u < -2, x < -u^2+1, y = -u^2-x+1, (u^2-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9
, -9], [1, 1], [4, 4]]]], [[10, 4, 6, 3, 1], [v = 2^(1/2), u = -3^(1/2), x = 0
, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [-1, -1], [-2,
-2]]]], [[10, 4, 6, 3, 2], [v = 2^(1/2), u = -3^(1/2), x = 0, And(-2 < y,y < 0
), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [0, 0], [-1, -1], [-1, -1]]]], [[10, 4, 6,
3, 3], [v = 2^(1/2), u = -3^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [0, 0], [-1, -1], [0, 0]]]], [[10, 4, 6, 3
, 4], [v = 2^(1/2), u = -3^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [0, 0], [-1, -1], [1, 1]]]], [[10, 4, 6, 3, 5], [v = 2^(1/2), u = -3
^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [-1, -\
1], [2, 2]]]], [[10, 6, 5, 6, 1], [v = 2^(1/2), u = -v, And(0 < x,x < 1), y =
0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 12, 2, 4, 1], [
v = 2^(1/2), u = 1, x = -2, y = 2, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-2, -2], [2, 2], [-1, -1]]]], [[10, 12, 2, 4, 2], [
v = 2^(1/2), u = 1, x = -2, y = 2, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-2, -2], [2, 2], [0, 0]]]], [[10, 12, 2, 4, 3], [v
= 2^(1/2), u = 1, x = -2, y = 2, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-2, -2], [2, 2], [1, 1]]]], [[10, 14, 1, 5, 1], [v
= 2^(1/2), u = v, x < -1, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [3/2, 3/2], [-2, -2]]]], [[10, 14, 1, 5, 2], [v = 2^(1/2),
u = v, x < -1, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[10, 14, 1, 5, 3], [v = 2^
(1/2), u = v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [3/2, 3/2], [0, 0]]]], [[10, 14, 1, 5, 4], [v = 2^
(1/2), u = v, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2],
[3/2, 3/2], [741455/1048576, 46341/65536]]]], [[10, 14, 1, 5, 5], [v = 2^(1/2)
, u = v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [
3/2, 3/2], [2, 2]]]], [[11, 2, 5, 6, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And
(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 2, 5, 6, 2], [2
^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [1/
2, 1/2], [0, 0]]]], [[11, 2, 5, 6, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 4, 3, 6, 1], [2^(
1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/2,
3/2], [-1, -1]]]], [[11, 4, 3, 6, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2
< x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[11, 4, 3, 6, 3], [2^(1/2
) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]
], [[11, 10, 2, 4, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y = 3, z < 0]
, [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [3,
3], [-1, -1]]]], [[11, 10, 2, 4, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3,
y = 3, z = 0], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576],
[-3, -3], [3, 3], [0, 0]]]], [[11, 10, 2, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1
/2), x = -3, y = 3, 0 < z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-3, -3], [3, 3], [1, 1]]]], [[11, 11, 10, 7, 1], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, 0 < y, z = z], [
regular_chain, [[3, 3], [0, 0], [8, 8], [1, 1], [0, 0]]]], [[11, 15, 7, 9, 1],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), -x < y,
z = z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [2, 2], [0, 0]]]], [[11, 17, 9, 1, 1], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2],
[-3, -3], [-3, -3]]]], [[11, 17, 9, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)
^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-3, -3],
[-3315889/2097152, -207243/131072]]]], [[11, 17, 9, 1, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072
], [1/2, 1/2], [-3, -3], [0, 0]]]], [[11, 17, 9, 1, 4], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-3, -3],
[207243/131072, 1657945/1048576]]]], [[11, 17, 9, 1, 5], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-3, -3],
[3, 3]]]], [[1, 1, 1, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [0
, 0], [-6, -6]]]], [[1, 1, 1, 2, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u
^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18,
-18], [0, 0], [-1112183/262144, -4448731/1048576]]]], [[1, 1, 1, 2, 3], [v < -
2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [0, 0], [0, 0]]]]
, [[1, 1, 1, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0,
z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [0, 0], [
4448731/1048576, 1112183/262144]]]], [[1, 1, 1, 2, 5], [v < -2^(1/2), u < -(v^
2+2)^(1/2), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3],
[-5, -5], [-18, -18], [0, 0], [6, 6]]]], [[1, 2, 7, 1, 1], [v < -2^(1/2), u =
-(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-5, -5], [-4, -\
4]]]], [[1, 2, 7, 1, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1),
y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]]
, [[1, 2, 7, 1, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -
x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [1/2, 1/2], [-5, -5], [0, 0]]]], [[1, 2, 7,
1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/
2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[1, 2, 7, 1, 5], [v
< -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-\
5, -5], [4, 4]]]], [[1, 8, 6, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0,
And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [0, 0], [-1, -1], [-2, -2]]]], [[1, 8, 6, 3, 2],
[v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0], [-1,
-1], [-1, -1]]]], [[1, 8, 6, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0,
And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [0, 0], [-1, -1], [0, 0]]]], [[1,
8, 6, 3, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z =
(-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[0, 0], [-1, -1], [1, 1]]]], [[1, 8, 6, 3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/
2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [0, 0], [-1, -1], [2, 2]]]], [[1, 10, 4,
1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-3,
-3], [-3, -3]]]], [[1, 10, 4, 1, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1
, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[1, 10, 4, 1, 3], [v < -2^
(1/2), u = -(v^2-2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2
))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1]
, [-3, -3], [0, 0]]]], [[1, 10, 4, 1, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x
= -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[1, 10, 4, 1, 5], [v < -2^(
1/2), u = -(v^2-2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[
-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-3, -3], [3, 3]]]],
[[1, 13, 10, 5, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x
= 1, And(-1 < y,y < -u^2+v^2-2), z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [1, 1], [-391029/524288, -391029/524288], [0, 0]]]],
[[1, 15, 9, 4, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x <
1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [-133230053/134217728, -\
33307513/33554432], [-2, -2]]]], [[1, 15, 9, 4, 2], [v < -2^(1/2), And((v^2-1)
^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2],
[-133230053/134217728, -33307513/33554432], [-735979/1048576, -1471957/2097152
]]]], [[1, 15, 9, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 <
x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [
-133230053/134217728, -33307513/33554432], [-1/4194304, -1/4194304]]]], [[1, 
15, 9, 4, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1),
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1/2, 1/2], [-133230053/134217728, -33307513/
33554432], [367989/524288, 735979/1048576]]]], [[1, 15, 9, 4, 5], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[1/2, 1/2], [-133230053/134217728, -33307513/33554432], [2, 2]]]], [[1, 21, 7,
5, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-x < y,y < 0),
z = z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]]
, [[2, 2, 2, 2, 1], [v = -2^(1/2), u = -2, x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [0, 0]
, [-3, -3]]]], [[2, 2, 2, 2, 2], [v = -2^(1/2), u = -2, x = -3, y = 0, z = -3^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3
], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[2, 2, 2, 2, 3], [v = -2^
(1/2), u = -2, x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [0, 0], [-1/4194304,
-1/4194304]]]], [[2, 2, 2, 2, 4], [v = -2^(1/2), u = -2, x = -3, y = 0, z = 3^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3
], [0, 0], [908093/524288, 1816187/1048576]]]], [[2, 2, 2, 2, 5], [v = -2^(1/2
), u = -2, x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-3, -3], [0, 0], [3, 3]]]], [[2, 9, 10, 8, 1], [v =
-2^(1/2), And(-1 < u,u < 0), x = 1, y = 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [1, 1], [0, 0], [0, 0]]]], [[2, 11, 7,
7, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(0 < y,y < -
u^2-x+1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1
/2], [3/8, 3/8], [3/16, 3/16], [0, 0]]]], [[2, 17, 7, 8, 1], [v = -2^(1/2), 
And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = u^2-x-3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [252733/1048576, 126367/524288], [
0, 0]]]], [[2, 19, 4, 7, 1], [v = -2^(1/2), 2 < u, x = -1, And(1 < y,y < u^2-2
), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -\
1], [4, 4], [0, 0]]]], [[3, 3, 9, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-\
3374389/1048576, -843597/262144], [-3, -3]]]], [[3, 3, 9, 2, 2], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/
1048576, 775271/1048576], [-3374389/1048576, -843597/262144], [-3301741/
2097152, -825435/524288]]]], [[3, 3, 9, 2, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2
-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [-3374389/1048576, -843597/262144], [0, 0]]]]
, [[3, 3, 9, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [775271/1048576, 775271/1048576], [-3374389/1048576, -\
843597/262144], [825435/524288, 1650871/1048576]]]], [[3, 3, 9, 2, 5], [And(-2
^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [-3374389/1048576, -843597/262144], [3, 3]]]]
, [[3, 5, 7, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
And(u^2-v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [279169/1048576, 139585/524288], [-1, -1]]]], [[3, 5, 7, 8, 2
], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x
,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [
279169/1048576, 139585/524288], [0, 0]]]], [[3, 5, 7, 8, 3], [And(-2^(1/2) < v
,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -x, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-558339/2097152, -558339/2097152], [279169/1048576, 139585
/524288], [1, 1]]]], [[3, 11, 7, 9, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), -x < y, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
450371/2097152, -450371/2097152], [2, 2], [0, 0]]]], [[3, 13, 8, 4, 1], [And(-
2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [0, 0], [-1116681/2097152, -139585/262144],
[-2, -2]]]], [[3, 13, 8, 4, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0
], [-1116681/2097152, -139585/262144], [-765155/1048576, -1530309/2097152]]]],
[[3, 13, 8, 4, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [-1116681/2097152, -139585/262144], [-1/4194304, -1/
4194304]]]], [[3, 13, 8, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0]
, [-1116681/2097152, -139585/262144], [382577/524288, 765155/1048576]]]], [[3,
13, 8, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0,
y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-1116681/
2097152, -139585/262144], [2, 2]]]], [[3, 13, 9, 3, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-50331663/33554432
, -50331663/33554432], [-3, -3]]]], [[3, 13, 9, 3, 2], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-50331663/33554432
, -50331663/33554432], [-1048577/1048576, -1]]]], [[3, 13, 9, 3, 3], [And(-2^(
1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^
2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-50331663/33554432, -50331663/33554432], [0, 0]
]]], [[3, 13, 9, 3, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-50331663/33554432, -50331663/33554432], [1, 
1048577/1048576]]]], [[3, 13, 9, 3, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (
-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [1/2, 1/2], [-50331663/33554432, -50331663/
33554432], [3, 3]]]], [[3, 15, 7, 9, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [501965/2097152, 501965/2097152], [2, 2], [0, 0]]]], [[4, 3, 9
, 5, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), And(-x
< y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-2097155/4194304, -\
2097155/4194304], [0, 0]]]], [[4, 5, 8, 2, 1], [v = -1, And(-2^(1/2) < u,u < -\
1), x = 0, y = -u^2, z < u], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1527887/1048576, -763943/524288], [-3, -3]]]], [[4
, 5, 8, 2, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, y = -u^2, z = u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
1527887/1048576, -763943/524288], [-1265743/1048576, -1265743/1048576]]]], [[4
, 5, 8, 2, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, y = -u^2, And(u < z,z
< -u)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0
], [-1527887/1048576, -763943/524288], [0, 0]]]], [[4, 5, 8, 2, 4], [v = -1, 
And(-2^(1/2) < u,u < -1), x = 0, y = -u^2, z = -u], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [0, 0], [-1527887/1048576, -763943/
524288], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 8, 2, 5], [v = -1, And
(-2^(1/2) < u,u < -1), x = 0, y = -u^2, -u < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-1527887/1048576, -763943/524288]
, [3, 3]]]], [[4, 9, 9, 4, 1], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), y
= -u^2-x, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-3/4, -\
3/4], [-2, -2]]]], [[4, 9, 9, 4, 2], [v = -1, And(0 < u,u < 1), And(0 < x,x <
1), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-\
3/4, -3/4], [-1/2, -1/2]]]], [[4, 9, 9, 4, 3], [v = -1, And(0 < u,u < 1), And(
0 < x,x < 1), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2,
1/2], [1/2, 1/2], [-3/4, -3/4], [0, 0]]]], [[4, 9, 9, 4, 4], [v = -1, And(0 <
u,u < 1), And(0 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [1/
2, 1/2], [1/2, 1/2], [-3/4, -3/4], [1/2, 1/2]]]], [[4, 9, 9, 4, 5], [v = -1, 
And(0 < u,u < 1), And(0 < x,x < 1), y = -u^2-x, u < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [1/2, 1/2], [-3/4, -3/4], [2, 2]]]], [[4, 11, 9, 8, 1], [v =
-1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [
[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [
[5, 2, 1, 9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, 1-x < y, z =
z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [6, 6], [0, 0]]]],
[[5, 3, 10, 1, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [1, 1], [-5, -5], [-3, -3]]]], [[5, 3, 10, 1
, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y
< -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [1, 1], [-5, -5], [-2, -2]]]], [[5, 3, 10, 1, 3], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2
+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2
], [-343151/262144, -343151/262144], [1, 1], [-5, -5], [0, 0]]]], [[5, 3, 10,
1, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1,
y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [1, 1], [-5, -5], [2, 2]]]], [[5, 3, 10, 1, 5], [And(
-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2
-2, (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151
/262144], [1, 1], [-5, -5], [3, 3]]]], [[5, 11, 11, 3, 1], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [2, 2], [-3388749/1048576, -3388749/1048576], [-3, -3]]]], [[5, 11, 
11, 3, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x
, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [2, 2], [-3388749/1048576, -3388749/
1048576], [-1163761/1048576, -72735/65536]]]], [[5, 11, 11, 3, 3], [And(-1 < v
,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [2, 2], [-3388749/1048576, -3388749/
1048576], [0, 0]]]], [[5, 11, 11, 3, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [-\
3388749/1048576, -3388749/1048576], [72735/65536, 1163761/1048576]]]], [[5, 11
, 11, 3, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [2, 2], [-3388749/1048576, -3388749/
1048576], [3, 3]]]], [[5, 13, 8, 2, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[3, 3], [1, 1], [-43/4, -43/4], [-5, -5]]]], [[5, 13, 8, 2, 2], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-43/4, -43/4], [-1637089/524288
, -3274177/1048576]]]], [[5, 13, 8, 2, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) <
u, x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-43/4, -43/4], [0, 0]]]], [[5,
13, 8, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-43/4, -\
43/4], [3274177/1048576, 1637089/524288]]]], [[5, 13, 8, 2, 5], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-43/4, -43/4], [5, 5]]]], [[6,
5, 11, 5, 1], [v = 0, And(-1 < u,u < 0), 1 < x, And(u^2-x-1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-19/8, -19/8],
[-2, -2]]]], [[6, 5, 11, 5, 2], [v = 0, And(-1 < u,u < 0), 1 < x, And(u^2-x-1
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2]
, [-19/8, -19/8], [-1284239/2097152, -642119/1048576]]]], [[6, 5, 11, 5, 3], [
v = 0, And(-1 < u,u < 0), 1 < x, And(u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-19/8, -\
19/8], [0, 0]]]], [[6, 5, 11, 5, 4], [v = 0, And(-1 < u,u < 0), 1 < x, And(u^2
-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2
, 2], [-19/8, -19/8], [642119/1048576, 80265/131072]]]], [[6, 5, 11, 5, 5], [v
= 0, And(-1 < u,u < 0), 1 < x, And(u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-19/8, -19/8], [2, 2]]]], [[6,
7, 11, 9, 1], [v = 0, And(0 < u,u < 1), 1 < x, 0 < y, z = z], [regular_chain,
[[0, 0], [1/2, 1/2], [2, 2], [1, 1], [0, 0]]]], [[6, 11, 9, 4, 1], [v = 0, 2^(
1/2) < u, And(1 < x,x < u^2-1), y = -x, z < 0], [regular_chain, [[0, 0], [3, 3
], [9/2, 9/2], [-9/2, -9/2], [-1, -1]]]], [[6, 11, 9, 4, 2], [v = 0, 2^(1/2) <
u, And(1 < x,x < u^2-1), y = -x, z = 0], [regular_chain, [[0, 0], [3, 3], [9/2
, 9/2], [-9/2, -9/2], [0, 0]]]], [[6, 11, 9, 4, 3], [v = 0, 2^(1/2) < u, And(1
< x,x < u^2-1), y = -x, 0 < z], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [
-9/2, -9/2], [1, 1]]]], [[7, 2, 4, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2
), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-1, -1], [-1, -1], [-3, -3]]]], [[7, 2, 4, 3, 2], [And(0 < v,v
< 1), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-1, -1], [-1482911/
1048576, -741455/524288]]]], [[7, 2, 4, 3, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-1, -1], [0, 0]]]], [[7,
2, 4, 3, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0),
z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-1, -1
], [741455/524288, 1482911/1048576]]]], [[7, 2, 4, 3, 5], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-1, -1], [3, 3]]]], [[7, 8, 2, 4, 1], [
And(0 < v,v < 1), u = v, x = -1, y = 1, z < 0], [regular_chain, [[1/2, 1/2], [
1/2, 1/2], [-1, -1], [1, 1], [-1, -1]]]], [[7, 8, 2, 4, 2], [And(0 < v,v < 1),
u = v, x = -1, y = 1, z = 0], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1
], [1, 1], [0, 0]]]], [[7, 8, 2, 4, 3], [And(0 < v,v < 1), u = v, x = -1, y =
1, 0 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [1, 1], [1, 1]]]
], [[7, 10, 3, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1)
, And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[7,
10, 3, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x
-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/
1048576]]]], [[7, 10, 3, 3, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 <
x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-\
1/4, -1/4], [0, 0]]]], [[7, 10, 3, 3, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/4, -1/4], [
1387135/1048576, 10837/8192]]]], [[7, 10, 3, 3, 5], [And(0 < v,v < 1), u = (v^
2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-\
1/4, -1/4], [3, 3]]]], [[7, 10, 3, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-3/2, -3/2], [3, 3], [0, 0]]]], [[7, 12, 2, 4, 1], [
And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[
1/2, 1/2], [3/2, 3/2], [-3, -3], [3, 3], [-1, -1]]]], [[7, 12, 2, 4, 2], [And(
0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, y = 3, z = 0], [regular_chain, [[1/2,
1/2], [3/2, 3/2], [-3, -3], [3, 3], [0, 0]]]], [[7, 12, 2, 4, 3], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[1/2, 1/2], [
3/2, 3/2], [-3, -3], [3, 3], [1, 1]]]], [[8, 4, 4, 4, 1], [v = 1, u = -2^(1/2)
, x = -1, y = 0, z < -1], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [0, 0], [-2, -2]]]], [[8, 4, 4, 4, 2], [v = 1, u = -2^(1/2)
, x = -1, y = 0, z = -1], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [0, 0], [-1, -1]]]], [[8, 4, 4, 4, 3], [v = 1, u = -2^(1/2)
, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [0, 0]]]], [[8, 4, 4, 4, 4], [v =
1, u = -2^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [1, 1]]]], [[8, 4, 4, 4, 5], [v =
1, u = -2^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [2, 2]]]], [[8, 6, 3, 5, 1], [v =
1, u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8,
6, 3, 5, 2], [v = 1, u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-1/2, -\
1/2]]]], [[8, 6, 3, 5, 3], [v = 1, u = -1, And(-1 < x,x < 0), And(0 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1, -1]
, [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[8, 6, 3, 5, 4], [v = 1, u = -1, And(-\
1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [
-1, -1], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[8, 6, 3, 5, 5], [v = 1, u
= -1, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[8, 10, 4, 1, 1], [v
= 1, u = 1, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[1, 1], [1, 1],
[0, 0], [-2, -2], [-3, -3]]]], [[8, 10, 4, 1, 2], [v = 1, u = 1, x = 0, y < -1
, z = -(-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[8, 10, 4, 1, 3], [v = 1, u = 1, x = 0,
y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [1, 1],
[0, 0], [-2, -2], [0, 0]]]], [[8, 10, 4, 1, 4], [v = 1, u = 1, x = 0, y < -1,
z = (-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [0, 0], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[8, 10, 4, 1, 5], [v = 1, u = 1, x = 0, y < -1,
(-y)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [0, 0], [-2, -2], [3, 3]]]],
[[8, 12, 5, 2, 1], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2],
[-3/2, -3/2], [-3, -3]]]], [[8, 12, 5, 2, 2], [v = 1, u = 2^(1/2), And(-1 < x,
x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/
524288]]]], [[8, 12, 5, 2, 3], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y = -x-\
2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[8, 12, 5, 2, 4], [v
= 1, u = 2^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/2, -3/2], [741455/
524288, 1482911/1048576]]]], [[8, 12, 5, 2, 5], [v = 1, u = 2^(1/2), And(-1 <
x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[9, 2, 7, 4, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 2, 7, 4, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 2, 7, 4, 3], [And(
1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 4, 5, 6, 1], [And(
1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[9, 4, 5, 6, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[9, 4, 5, 6, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[9, 12, 4, 4, 1], [And(1 < v,v
< 2^(1/2)), u = v, x = 0, y = 0, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-1, -1]
]]], [[9, 12, 4, 4, 2], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y = 0, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743
/1048576], [0, 0], [0, 0], [0, 0]]]], [[9, 12, 4, 4, 3], [And(1 < v,v < 2^(1/2
)), u = v, x = 0, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[9,
14, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/4, 1/4],
[-2, -2]]]], [[9, 14, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1
/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 14, 5, 5, 3], [And(1 < v,v < 2^(1/2)),
u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 14,
5, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/
2]]]], [[9, 14, 5, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 <
x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/
4, 1/4], [2, 2]]]], [[10, 2, 7, 7, 1], [v = 2^(1/2), u = -2, And(0 < x,x < 1),
And(0 < y,y < 1-x), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[10, 4, 6, 2, 1], [v = 2^(1/2),
u = -3^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [-2, -2], [-3,
-3]]]], [[10, 4, 6, 2, 2], [v = 2^(1/2), u = -3^(1/2), x = 0, y = -2, z = -2^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[
10, 4, 6, 2, 3], [v = 2^(1/2), u = -3^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [0, 0], [-2, -2], [0, 0]]]], [[10, 4, 6, 2, 4], [v
= 2^(1/2), u = -3^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [-2,
-2], [741455/524288, 1482911/1048576]]]], [[10, 4, 6, 2, 5], [v = 2^(1/2), u =
-3^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [-2, -2], [3,
3]]]], [[10, 8, 6, 5, 1], [v = 2^(1/2), u = -1, x = 0, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [1, 1], [0
, 0]]]], [[10, 10, 4, 7, 1], [v = 2^(1/2), u = 0, x = -1, And(1 < y,y < 2), z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [3/
2, 3/2], [0, 0]]]], [[10, 16, 3, 1, 1], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,
x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-2, -2], [-\
3, -3]]]], [[10, 16, 3, 1, 2], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1),
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-2, -2], [-7846825/4194304
, -980853/524288]]]], [[10, 16, 3, 1, 3], [v = 2^(1/2), u = 3^(1/2), And(-2 <
x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3
/2], [-2, -2], [0, 0]]]], [[10, 16, 3, 1, 4], [v = 2^(1/2), u = 3^(1/2), And(-\
2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-2, -2], [
980853/524288, 1961707/1048576]]]], [[10, 16, 3, 1, 5], [v = 2^(1/2), u = 3^(1
/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-2
, -2], [3, 3]]]], [[10, 18, 1, 7, 1], [v = 2^(1/2), u = 2, x < -3, And(-x < y,
y < 1-x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [
-4, -4], [9/2, 9/2], [0, 0]]]], [[10, 18, 1, 9, 1], [v = 2^(1/2), u = 2, x < -\
3, 1-x < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[-4, -4], [6, 6], [0, 0]]]], [[10, 19, 10, 3, 1], [v = 2^(1/2), 2 < u, x = u^2
-3, And(-2*u^2+4 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [6, 6], [-10, -10], [-3, -3]]]], [[10
, 19, 10, 3, 2], [v = 2^(1/2), 2 < u, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3),
z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [6, 6], [-10, -10], [-2, -2]]]], [[10, 19, 10, 3, 3], [v = 2^(1/2), 2 < u,
x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y
+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6]
, [-10, -10], [0, 0]]]], [[10, 19, 10, 3, 4], [v = 2^(1/2), 2 < u, x = u^2-3,
And(-2*u^2+4 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [6, 6], [-10, -10], [2, 2]]]], [[10, 19, 10,
3, 5], [v = 2^(1/2), 2 < u, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), (-u^2-y+3
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6
], [-10, -10], [3, 3]]]], [[11, 6, 2, 4, 1], [2^(1/2) < v, u = -v, x = -1, y =
1, z < 0], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1, 1], [-1, -1]]]], [
[11, 6, 2, 4, 2], [2^(1/2) < v, u = -v, x = -1, y = 1, z = 0], [regular_chain,
[[3, 3], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[11, 6, 2, 4, 3], [2^(1/2) <
v, u = -v, x = -1, y = 1, 0 < z], [regular_chain, [[3, 3], [-3, -3], [-1, -1],
[1, 1], [1, 1]]]], [[11, 8, 3, 7, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2
< x,x < -1), -x < y, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-3/2, -3/2], [3, 3], [0, 0]]]], [[11, 11, 11, 3, 1], [2^(1
/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^
2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9]
, [-14, -14], [-4, -4]]]], [[11, 11, 11, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [-14, -14], [-146543/
65536, -2344687/1048576]]]], [[11, 11, 11, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [0, 0], [9, 9],
[-14, -14], [0, 0]]]], [[11, 11, 11, 3, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^
(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [-14, -14], [2344687/1048576,
146543/65536]]]], [[11, 11, 11, 3, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[3, 3], [0, 0], [9, 9], [-14, -14], [4, 4]]]], [[11, 13,
8, 6, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2
-1, y = 0, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[133259/262144, 533037/1048576], [0, 0], [0, 0]]]], [[11, 19, 8, 1, 1], [2^(1/
2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*
v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [129511/262144, 518045/1048576], [-4, -4], [-3, -3]]]], [[11
, 19, 8, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^
2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3]
, [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-4, -4
], [-7853497/4194304, -981687/524288]]]], [[11, 19, 8, 1, 3], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And
(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3]
, [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-4, -4
], [0, 0]]]], [[11, 19, 8, 1, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 
518045/1048576], [-4, -4], [981687/524288, 1963375/1048576]]]], [[11, 19, 8, 1
, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y
< -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-4, -4], [3, 3]]]
], [[11, 21, 5, 4, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y =
0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [0, 0], [-\
2, -2]]]], [[11, 21, 5, 4, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x <
0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [0
, 0], [-1482911/2097152, -741455/1048576]]]], [[11, 21, 5, 4, 3], [2^(1/2) < v
, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11,
21, 5, 4, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z = (
-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[11, 21, 5, 4, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-\
1/2, -1/2], [0, 0], [2, 2]]]], [[1, 4, 6, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(
1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [0, 0], [-3, -3], [-3, -3]]]], [[1, 4, 6, 1, 2], [v <
-2^(1/2), u = -(v^2+1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain,
[[-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[1, 4, 6, 1, 3], [v < -2^(1/2), u = -(v^2+1)^(
1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-\
3, -3], [-3315889/1048576, -207243/65536], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[1, 4, 6, 1, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, y < -\
2, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[1, 4, 6, 1, 5
], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [-3, -3],
[3, 3]]]], [[1, 6, 4, 5, 1], [v < -2^(1/2), u = v, x = 0, 0 < y, z = z], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [1, 1], [0, 0]]]], [[1, 12, 1, 7,
1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [9/2, 9/2],
[0, 0]]]], [[1, 13, 9, 8, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [0, 0],
[0, 0]]]], [[1, 17, 10, 8, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
= 1, y = 0, z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[1, 1], [0, 0], [0, 0]]]], [[1, 19, 9, 7, 1], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < 0),
z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [-132633/1048576, -132633/1048576], [0, 0]]
]], [[2, 3, 11, 1, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^
2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3913339/2097152, -3913339/2097152], [2, 2], [-6, -6], [-3, -3]]]], [[2, 3,
11, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [2, 2], [-6, -6], [-2, -2]]]], [[2, 3, 11, 1, 3],
[v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [2, 2], [-6, -6], [0, 0]]]], [[2, 3, 11,
1, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, z = (-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [2, 2], [-6, -6], [2, 2]]]], [[2, 3, 11, 1, 5], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, (-x-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [2, 2], [-6, -6], [3, 3]]]], [[2, 5, 9, 9, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1/2,
1/2], [1, 1], [0, 0]]]], [[2, 5, 10, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [1, 1], [-1/2, -1/2], [0
, 0]]]], [[2, 7, 11, 2, 1], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = u^2-x
-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [2, 2], [-7429987/2097152, -3714993/
1048576], [-3, -3]]]], [[2, 7, 11, 2, 2], [v = -2^(1/2), And(v < u,u < -1), 1
< x, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-7429987/
2097152, -3714993/1048576], [-1302471/1048576, -651235/524288]]]], [[2, 7, 11,
2, 3], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/
2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-7429987/2097152, -\
3714993/1048576], [0, 0]]]], [[2, 7, 11, 2, 4], [v = -2^(1/2), And(v < u,u < -\
1), 1 < x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
7429987/2097152, -3714993/1048576], [651235/524288, 1302471/1048576]]]], [[2,
7, 11, 2, 5], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = u^2-x-3, (-u^2+3)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [3,
3]]]], [[2, 13, 7, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x <
0), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [-239655/2097152, -239655/2097152], [-2, -2]]]], [[2, 13,
7, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(-u^2-x+
1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576
], [-239655/2097152, -239655/2097152], [-1227917/2097152, -306979/524288]]]],
[[2, 13, 7, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), 
And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-239655/2097152, -239655/
2097152], [0, 0]]]], [[2, 13, 7, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), And(
-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
239655/1048576, -239655/1048576], [-239655/2097152, -239655/2097152], [306979/
524288, 613959/1048576]]]], [[2, 13, 7, 5, 5], [v = -2^(1/2), And(1 < u,u < -v
), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-239655/2097152, -239655/
2097152], [2, 2]]]], [[2, 15, 7, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, And(u^2-3 < x,x < 0), -x < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [2, 2], [0, 0]]]], [[2, 19, 5, 4, 1], [v = -2^(1/2), 2 < u, And(-1 <
x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2, 19, 5, 4, 2], [v = -
2^(1/2), 2 < u, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[2, 19, 5, 4, 3], [v = -2^(1/2), 2 < u, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2
, 19, 5, 4, 4], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2],
[0, 0], [741455/1048576, 46341/65536]]]], [[2, 19, 5, 4, 5], [v = -2^(1/2), 2
< u, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[3, 1, 11,
3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+
v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [8, 8], [-25735089/2097152, -25735089/2097152], [-\
4, -4]]]], [[3, 1, 11, 3, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u
^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-25735089/2097152,
-25735089/2097152], [-2167143/1048576, -1083571/524288]]]], [[3, 1, 11, 3, 3],
[And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-25735089/2097152, -\
25735089/2097152], [0, 0]]]], [[3, 1, 11, 3, 4], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [
-25735089/2097152, -25735089/2097152], [1083571/524288, 2167143/1048576]]]], [
[3, 1, 11, 3, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x
, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [8, 8], [-25735089/2097152, -25735089/
2097152], [4, 4]]]], [[3, 7, 9, 4, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-7797271/8388608, -3898635/4194304], [-2, -2]]]
], [[3, 7, 9, 4, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1
/2, 1/2], [-7797271/8388608, -3898635/4194304], [-1374407/2097152, -687203/
1048576]]]], [[3, 7, 9, 4, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-\
1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [-7797271/8388608, -3898635/
4194304], [0, 0]]]], [[3, 7, 9, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-7797271/8388608, -3898635/4194304], [687203/
1048576, 171801/262144]]]], [[3, 7, 9, 4, 5], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [1/2, 1/2], [-7797271/8388608, -3898635/4194304], [2, 2]]
]], [[3, 9, 8, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/524288,
479311/1048576], [-4, -4], [-3, -3]]]], [[3, 9, 8, 1, 2], [And(-2^(1/2) < v,v
< -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*
v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-4, -4], [-7894761/4194304
, -15789521/8388608]]]], [[3, 9, 8, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-
v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-4, -4],
[-1/16777216, -1/16777216]]]], [[3, 9, 8, 1, 4], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z
= (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [239655/524288, 479311/1048576], [-4, -4], [986845/524288, 1973691/
1048576]]]], [[3, 9, 8, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/
524288, 479311/1048576], [-4, -4], [3, 3]]]], [[3, 17, 5, 6, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [1
/2, 1/2], [-1, -1]]]], [[3, 17, 5, 6, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(
1/2) < u, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[3,
17, 5, 6, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 1, 11, 5, 1], [v = -1, u < -3^(1/2),
u^2-2 < x, And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [-3, -3
], [8, 8], [-9/2, -9/2], [0, 0]]]], [[4, 7, 9, 8, 1], [v = -1, And(-1 < u,u <
0), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2],
[1/2, 1/2], [0, 0], [0, 0]]]], [[4, 9, 8, 5, 1], [v = -1, And(0 < u,u < 1), x
= 0, And(-u^2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1
/2], [0, 0], [-1/8, -1/8], [-2, -2]]]], [[4, 9, 8, 5, 2], [v = -1, And(0 < u,u
< 1), x = 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1, -1],
[1/2, 1/2], [0, 0], [-1/8, -1/8], [-46341/131072, -370727/1048576]]]], [[4, 9,
8, 5, 3], [v = -1, And(0 < u,u < 1), x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/
2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1/8,
-1/8], [0, 0]]]], [[4, 9, 8, 5, 4], [v = -1, And(0 < u,u < 1), x = 0, And(-u^2
< y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-\
1/8, -1/8], [370727/1048576, 46341/131072]]]], [[4, 9, 8, 5, 5], [v = -1, And(
0 < u,u < 1), x = 0, And(-u^2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-\
1, -1], [1/2, 1/2], [0, 0], [-1/8, -1/8], [2, 2]]]], [[4, 13, 9, 5, 1], [v = -\
1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(-x < y,y < u^2-x-2)
, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
773191/1048576, 773191/1048576], [-1048577/2097152, -1048577/2097152], [0, 0]]
]], [[4, 15, 6, 2, 1], [v = -1, 3^(1/2) < u, x = 0, y = -u^2, z < -u], [
regular_chain, [[-1, -1], [3, 3], [0, 0], [-9, -9], [-4, -4]]]], [[4, 15, 6, 2
, 2], [v = -1, 3^(1/2) < u, x = 0, y = -u^2, z = -u], [regular_chain, [[-1, -1
], [3, 3], [0, 0], [-9, -9], [-3, -3]]]], [[4, 15, 6, 2, 3], [v = -1, 3^(1/2)
< u, x = 0, y = -u^2, And(-u < z,z < u)], [regular_chain, [[-1, -1], [3, 3], [
0, 0], [-9, -9], [0, 0]]]], [[4, 15, 6, 2, 4], [v = -1, 3^(1/2) < u, x = 0, y
= -u^2, z = u], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-9, -9], [3, 3]]]]
, [[4, 15, 6, 2, 5], [v = -1, 3^(1/2) < u, x = 0, y = -u^2, u < z], [
regular_chain, [[-1, -1], [3, 3], [0, 0], [-9, -9], [4, 4]]]], [[5, 5, 9, 9, 1
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), 0 < y,
z = z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [
1/2, 1/2], [1, 1], [0, 0]]]], [[5, 7, 10, 4, 1], [And(-1 < v,v < 0), And(v < u
,u < -v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [0, 0], [1, 1], [-7/4, -7/4], [-2, -2]]]], [[5, 7, 10, 4, 2], [And(
-1 < v,v < 0), And(v < u,u < -v), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-7/4, -7/4], [-1816187/
2097152, -3632373/4194304]]]], [[5, 7, 10, 4, 3], [And(-1 < v,v < 0), And(v <
u,u < -v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(
1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-7/4, -7/4], [-1/
8388608, -1/8388608]]]], [[5, 7, 10, 4, 4], [And(-1 < v,v < 0), And(v < u,u <
-v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [0, 0], [1, 1], [-7/4, -7/4], [908093/1048576, 454047/524288]]]], [[5, 7,
10, 4, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = -u^2+v^2-2, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-7/4, -7/4]
, [2, 2]]]], [[5, 7, 10, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1,
0 < y, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [1, 1], [0, 0]]]
], [[5, 9, 11, 4, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x
, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [-2721571/1048576, -5443141/2097152
], [-2, -2]]]], [[5, 9, 11, 4, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^
(1/2)), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-2721571/1048576, -\
5443141/2097152], [-1618333/2097152, -3236665/4194304]]]], [[5, 9, 11, 4, 3],
[And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/
2], [1696631/2097152, 1696631/2097152], [2, 2], [-2721571/1048576, -5443141/
2097152], [-1/8388608, -1/8388608]]]], [[5, 9, 11, 4, 4], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [
-2721571/1048576, -5443141/2097152], [404583/524288, 809167/1048576]]]], [[5,
9, 11, 4, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^
2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [-2721571/1048576, -5443141/2097152], [2, 2
]]]], [[6, 2, 3, 9, 1], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), 1-x < y, z =
z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [4,
4], [0, 0]]]], [[6, 3, 11, 8, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, y =
0, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2,
2], [0, 0], [0, 0]]]], [[6, 8, 1, 6, 1], [v = 0, u = 1, x < -2, y = -x, z < 0]
, [regular_chain, [[0, 0], [1, 1], [-3, -3], [3, 3], [-1, -1]]]], [[6, 8, 1, 6
, 2], [v = 0, u = 1, x < -2, y = -x, z = 0], [regular_chain, [[0, 0], [1, 1],
[-3, -3], [3, 3], [0, 0]]]], [[6, 8, 1, 6, 3], [v = 0, u = 1, x < -2, y = -x,
0 < z], [regular_chain, [[0, 0], [1, 1], [-3, -3], [3, 3], [1, 1]]]], [[6, 9,
11, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(-x < y,y < u^2-x-1), z =
z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [-\
7429987/4194304, -7429987/4194304], [0, 0]]]], [[7, 4, 2, 3, 1], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [1,
1], [-2, -2]]]], [[7, 4, 2, 3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x =
-2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[7, 4, 2, 3, 3], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/
2) < z,z < (2-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-2, -2], [1, 1], [0, 0]]]], [[7, 4, 2, 3, 4], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [1,
1], [1, 1]]]], [[7, 4, 2, 3, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2
, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-2, -2], [1, 1], [2, 2]]]], [[7, 5, 11, 9, 1], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, 0 < y, z = z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [1,
1], [0, 0]]]], [[7, 13, 11, 1, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v
^2-1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
3, 3], [9, 9], [-20, -20], [-5, -5]]]], [[7, 13, 11, 1, 2], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-20, -20], [-1738867/524288, -\
3477733/1048576]]]], [[7, 13, 11, 1, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-20, -20], [0, 0]]]], [[7, 13, 11
, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1
, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-20, -20],
[3477733/1048576, 1738867/524288]]]], [[7, 13, 11, 1, 5], [And(0 < v,v < 1), (
v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-20, -20], [5, 5]]]], [[8, 2, 6,
2, 1], [v = 1, u = -3^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[1
, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[8
, 2, 6, 2, 2], [v = 1, u = -3^(1/2), x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[8, 2, 6, 2, 3], [v = 1, u = -3^(1
/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304
]]]], [[8, 2, 6, 2, 4], [v = 1, u = -3^(1/2), x = 0, y = -3, z = 3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3, -3]
, [908093/524288, 1816187/1048576]]]], [[8, 2, 6, 2, 5], [v = 1, u = -3^(1/2),
x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-3, -3], [3, 3]]]], [[8, 8, 4, 5, 1], [v = 1, u = 0
, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [0, 0]
, [-1, -1], [1/2, 1/2], [-2, -2]]]], [[8, 8, 4, 5, 2], [v = 1, u = 0, x = -1,
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1, -1]
, [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[8, 8, 4, 5, 3], [v = 1
, u = 0, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 8, 4, 5,
4], [v = 1, u = 0, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain,
[[1, 1], [0, 0], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[8,
8, 4, 5, 5], [v = 1, u = 0, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [1/2, 1/2], [2, 2]]]], [[8, 10, 3, 6
, 1], [v = 1, u = 1, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1, 1
], [1, 1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 10, 3, 6, 2], [v = 1, u
= 1, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1, 1], [1, 1], [-1/2
, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 10, 3, 6, 3], [v = 1, u = 1, And(-1 < x,x
< 0), y = -x, 0 < z], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [1/2, 1/2
], [1, 1]]]], [[8, 14, 3, 7, 1], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(
-x < y,y < 1-x), z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-2, -2], [5/2, 5/2], [0, 0]]]], [[9, 1, 1, 1, 1], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-1,
-1], [-5, -5]]]], [[9, 1, 1, 1, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2
), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-10, -10], [-1, -1], [-1738867/524288, -\
3477733/1048576]]]], [[9, 1, 1, 1, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(
1/2), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [-1,
-1], [0, 0]]]], [[9, 1, 1, 1, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10, -10], [-1, -1], [3477733/1048576, 1738867/
524288]]]], [[9, 1, 1, 1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10, -10], [-1, -1], [5, 5]]]], [[9, 6, 5, 1, 1],
[And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[9, 6, 5, 1, 2], [And(1
< v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]],
[[9, 6, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1), y < -1-x,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3, -3],
[0, 0]]]], [[9, 6, 5, 1, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(0 < x,x < 1)
, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3, -3], [207243/
131072, 1657945/1048576]]]], [[9, 6, 5, 1, 5], [And(1 < v,v < 2^(1/2)), u = -v
, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
-3, -3], [3, 3]]]], [[9, 8, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1
/2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [2, 2], [0
, 0]]]], [[9, 8, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0,
And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -1], [-2, -\
2]]]], [[9, 8, 6, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 
And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -1], [-1, -\
1]]]], [[9, 8, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 0, 
And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0],
[-1, -1], [0, 0]]]], [[9, 8, 6, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -1
], [1, 1]]]], [[9, 8, 6, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -1], [2, 2]
]]], [[9, 10, 5, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x
,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]],
[[9, 10, 5, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x <
0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[9, 10, 5, 4, 3], [And(1 < v,v < 2^(1/2)), u =
(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 10, 5, 4, 4], [And(1 < v,v < 2
^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[9, 10, 5,
4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, (
-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[9, 16, 3, 9, 1], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), 1-x < y, z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [4, 4], [0, 0]]]], [[10, 1, 1, 3, 1], [v = 2^(1/2), u < -2
, x < -u^2+1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [1/2, 1/2], [-4, -4]]]],
[[10, 1, 1, 3, 2], [v = 2^(1/2), u < -2, x < -u^2+1, And(0 < y,y < -u^2-x+1),
z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3
], [-9, -9], [1/2, 1/2], [-24456785/8388608, -1528549/524288]]]], [[10, 1, 1,
3, 3], [v = 2^(1/2), u < -2, x < -u^2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-9, -9], [1/2, 1/2], [0, 0]]]], [[10, 1, 1, 3, 4], [v = 2^(1/2),
u < -2, x < -u^2+1, And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [1/2, 1/2], [1528549/
524288, 3057099/1048576]]]], [[10, 1, 1, 3, 5], [v = 2^(1/2), u < -2, x < -u^2
+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-9, -9], [1/2, 1/2], [4, 4]]]], [[10, 4,
6, 4, 1], [v = 2^(1/2), u = -3^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0],
[0, 0], [-1, -1]]]], [[10, 4, 6, 4, 2], [v = 2^(1/2), u = -3^(1/2), x = 0, y =
0, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [0, 0], [0, 0], [0, 0]]]], [[10, 4, 6, 4, 3], [v =
2^(1/2), u = -3^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288,
1482911/1048576], [-1816187/1048576, -3632373/2097152], [0, 0], [0, 0], [1, 1]
]]], [[10, 6, 5, 7, 1], [v = 2^(1/2), u = -v, And(0 < x,x < 1), 0 < y, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 12, 2, 3, 1], [v = 2^(1/2), u =
1, x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1], [-2, -2]]]], [[10, 12, 2,
3, 2], [v = 2^(1/2), u = 1, x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1], [-\
1, -1]]]], [[10, 12, 2, 3, 3], [v = 2^(1/2), u = 1, x = -2, And(0 < y,y < 2),
And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-2, -2], [1, 1], [0, 0]]]], [[10, 12, 2, 3, 4], [v
= 2^(1/2), u = 1, x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1], [1, 1]]]], [[10,
12, 2, 3, 5], [v = 2^(1/2), u = 1, x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1], [
2, 2]]]], [[10, 14, 1, 4, 1], [v = 2^(1/2), u = v, x < -1, y = -1-x, z < -1],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [-2, -2]]]], [[10, 14, 1, 4, 2], [v = 2^(1/2), u =
v, x < -1, y = -1-x, z = -1], [regular_chain, [[741455/524288, 1482911/1048576
], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[10, 14,
1, 4, 3], [v = 2^(1/2), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [0, 0]]]], [[10, 14, 1, 4, 4], [v = 2^(1/2), u = v
, x < -1, y = -1-x, z = 1], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [1, 1]]]], [[10, 14, 1, 4,
5], [v = 2^(1/2), u = v, x < -1, y = -1-x, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[2, 2]]]], [[11, 2, 5, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[11, 2, 5,
5, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[11, 2, 5, 5, 3], [2^(1/
2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 2, 5, 5, 4], [2^(
1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)
^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2,
-1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 2, 5, 5, 5], [2^(1/2) < v, u = -(v^2+2
)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [1/
4, 1/4], [2, 2]]]], [[11, 4, 3, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-\
2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[11
, 4, 3, 5, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]
]], [[11, 4, 3, 5, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), 
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/4, 3/4], [-1/
8388608, -1/8388608]]]], [[11, 4, 3, 5, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/4, 3/4], [908093/
1048576, 454047/524288]]]], [[11, 4, 3, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2
), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]]
, [[11, 10, 2, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, And(3 < y,y <
4), z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3
, -3], [7/2, 7/2], [0, 0]]]], [[11, 11, 11, 1, 1], [2^(1/2) < v, And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [-20, -20], [-5, -5]]]], [[11, 
11, 11, 1, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v
^2-1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0]
, [9, 9], [-20, -20], [-1738867/524288, -3477733/1048576]]]], [[11, 11, 11, 1,
3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y
< u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [0, 0], [9, 9], [-20, -20], [0, 0]]]], [[11, 11, 11, 1, 4], [2^(1/2) < v,
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y < u^2-v^2-x-1, z
= (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [-20, -20], [3477733
/1048576, 1738867/524288]]]], [[11, 11, 11, 1, 5], [2^(1/2) < v, And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[3, 3], [0, 0], [9, 9], [-20, -20], [5, 5]]]], [[11, 15,
7, 8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [-516571/2097152, -516571/2097152], [258285/1048576, 129143/524288], [-1, -1
]]]], [[11, 15, 7, 8, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2
+v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-516571/2097152, -516571/2097152], [258285/1048576, 129143/
524288], [0, 0]]]], [[11, 15, 7, 8, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), And(-u^2+v^2-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [258285
/1048576, 129143/524288], [1, 1]]]], [[11, 17, 8, 7, 1], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = 0, 0 < y, z = z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [0, 0], [1, 1], [0, 0]]]], [[1, 1, 1, 3, 1], [v < -2^(
1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1/2, 1/2], [-6,
-6]]]], [[1, 1, 1, 3, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 
And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
5, -5], [-18, -18], [1/2, 1/2], [-4386509/1048576, -1096627/262144]]]], [[1, 1
, 1, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -
u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3,
-3], [-5, -5], [-18, -18], [1/2, 1/2], [0, 0]]]], [[1, 1, 1, 3, 4], [v < -2^(1
/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1/2, 1/2], [
1096627/262144, 4386509/1048576]]]], [[1, 1, 1, 3, 5], [v < -2^(1/2), u < -(v^
2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1/2, 1/2], [6, 6]]]], [[1, 2,
7, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -
3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2
, 1/2], [-7/2, -7/2], [-3, -3]]]], [[1, 2, 7, 2, 2], [v < -2^(1/2), u = -(v^2+
2)^(1/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3]
, [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187/
1048576, -3632373/2097152]]]], [[1, 2, 7, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(
1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-7
/2, -7/2], [-1/4194304, -1/4194304]]]], [[1, 2, 7, 2, 4], [v < -2^(1/2), u = -
(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-3,
-3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-7/2, -7/2], [908093/
524288, 1816187/1048576]]]], [[1, 2, 7, 2, 5], [v < -2^(1/2), u = -(v^2+2)^(1/
2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[1, 8
, 6, 2, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0], [-2,
-2], [-3, -3]]]], [[1, 8, 6, 2, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0,
y = -2, z = -2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[1, 8, 6,
2, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z <
2^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [
0, 0], [-2, -2], [0, 0]]]], [[1, 8, 6, 2, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2
), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[1
, 8, 6, 2, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, y = -2, 2^(1/2) < z],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0], [-2,
-2], [3, 3]]]], [[1, 10, 3, 9, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 <
x,x < -1), 1-x < y, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-2, -2], [4, 4], [0, 0]]]], [[1, 13, 10, 6, 1], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [-128885/
262144, -515539/1048576], [0, 0]]]], [[1, 15, 9, 5, 1], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
1/2, 1/2], [-50084729/67108864, -50084729/67108864], [-2, -2]]]], [[1, 15, 9,
5, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/
67108864], [-16263/32768, -520415/1048576]]]], [[1, 15, 9, 5, 3], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/
67108864], [0, 0]]]], [[1, 15, 9, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,
u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-\
50084729/67108864, -50084729/67108864], [520415/1048576, 16263/32768]]]], [[1,
15, 9, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1),
And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/
67108864], [2, 2]]]], [[1, 21, 7, 4, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And
(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2],
[-1/2, -1/2], [-1, -1]]]], [[1, 21, 7, 4, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u
, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3], [5, 5], [1/2, 1
/2], [-1/2, -1/2], [0, 0]]]], [[1, 21, 7, 4, 3], [v < -2^(1/2), (v^2+2)^(1/2)
< u, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [5, 5], [1/2
, 1/2], [-1/2, -1/2], [1, 1]]]], [[2, 2, 2, 1, 1], [v = -2^(1/2), u = -2, x =
-3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-3, -3], [-1, -1], [-3, -3]]]], [[2, 2, 2, 1, 2], [v = -2^
(1/2), u = -2, x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-3, -3], [-1, -1], [-2, -2]]]], [[2, 2, 2
, 1, 3], [v = -2^(1/2), u = -2, x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -\
3], [-1, -1], [0, 0]]]], [[2, 2, 2, 1, 4], [v = -2^(1/2), u = -2, x = -3, y <
0, z = (3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [-3, -3], [-1, -1], [2, 2]]]], [[2, 2, 2, 1, 5], [v = -2^(1/2), u = -2, x
= -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-3, -3], [-1, -1], [3, 3]]]], [[2, 9, 10, 9, 1], [v = -2^(
1/2), And(-1 < u,u < 0), x = 1, 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [1, 1], [1, 1], [0, 0]]]], [[2, 11, 7,
8, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = -u^2-x+1, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3
/8], [3/8, 3/8], [0, 0]]]], [[2, 17, 7, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,
u < 2), And(0 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [
505467/2097152, 505467/2097152], [252733/2097152, 252733/2097152], [0, 0]]]],
[[2, 19, 4, 6, 1], [v = -2^(1/2), 2 < u, x = -1, y = 1, z < 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [1, 1], [-1, -1]]]],
[[2, 19, 4, 6, 2], [v = -2^(1/2), 2 < u, x = -1, y = 1, z = 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[
2, 19, 4, 6, 3], [v = -2^(1/2), 2 < u, x = -1, y = 1, 0 < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[3,
3, 9, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [775271/1048576, 775271/1048576], [-4149659/2097152, -\
4149659/2097152], [-3, -3]]]], [[3, 3, 9, 3, 2], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2
+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 
775271/1048576], [-4149659/2097152, -4149659/2097152], [-583671/524288, -\
1167341/1048576]]]], [[3, 3, 9, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/
1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152], [0, 0]]]], [[3
, 3, 9, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608
, -14373233/8388608], [775271/1048576, 775271/1048576], [-4149659/2097152, -\
4149659/2097152], [1167341/1048576, 583671/524288]]]], [[3, 3, 9, 3, 5], [And(
-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-\
1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[775271/1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152], [3, 3]
]]], [[3, 5, 7, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), And(u^2-v^2-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [2, 2], [0, 0]]]], [[3, 11, 7, 8, 1], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/1048576, 112593
/524288], [-1, -1]]]], [[3, 11, 7, 8, 2], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [225185/1048576, 112593/524288],
[0, 0]]]], [[3, 11, 7, 8, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371
/2097152, -450371/2097152], [225185/1048576, 112593/524288], [1, 1]]]], [[3, 
13, 8, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0,
And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0]
, [-4194303/4194304, -4194303/4194304], [-2, -2]]]], [[3, 13, 8, 3, 2], [And(-
2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,
y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-4194303/4194304, -\
4194303/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[3, 13
, 8, 3, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, 
And(-u^2+v^2-1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [-3670015/
8796093022208, -3670015/8796093022208]]]], [[3, 13, 8, 3, 4], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^
2-1), z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [0, 0], [-4194303/4194304, -4194303/
4194304], [1048575/1048576, 1]]]], [[3, 13, 8, 3, 5], [And(-2^(1/2) < v,v < -1
), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), (-
y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701
/1048576, 1454701/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [2,
2]]]], [[3, 13, 9, 2, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-515775/262144, -33009599/16777216], [-3, -3]]]
], [[3, 13, 9, 2, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2))
, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/
2, 1/2], [-515775/262144, -33009599/16777216], [-1270261/1048576, -317565/
262144]]]], [[3, 13, 9, 2, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+
1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [1/2, 1/2], [-515775/262144, -33009599/
16777216], [0, 0]]]], [[3, 13, 9, 2, 4], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-515775/262144, -33009599/16777216], [317565/
262144, 1270261/1048576]]]], [[3, 13, 9, 2, 5], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [1/2, 1/2], [-515775/262144, -33009599/16777216], [
3, 3]]]], [[3, 15, 7, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [125491/524288, 250983/1048576], [0
, 0]]]], [[4, 3, 9, 6, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2
< x,x < 1), y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [-6598195/4194304,
-6598195/4194304], [1546383/2097152, 1546383/2097152], [-137693/524288, -\
275385/1048576], [0, 0]]]], [[4, 5, 8, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1
), x = 0, And(-u^2 < y,y < u^2-2), z < -(-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [0, 0], [-4194303/4194304, -4194303/
4194304], [-2, -2]]]], [[4, 5, 8, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x
= 0, And(-u^2 < y,y < u^2-2), z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-4194303/4194304, -4194303/
4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[4, 5, 8, 3, 3
], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2 < y,y < u^2-2), And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [-3670015/
8796093022208, -3670015/8796093022208]]]], [[4, 5, 8, 3, 4], [v = -1, And(-2^(
1/2) < u,u < -1), x = 0, And(-u^2 < y,y < u^2-2), z = (-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
4194303/4194304, -4194303/4194304], [1048575/1048576, 1]]]], [[4, 5, 8, 3, 5],
[v = -1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2 < y,y < u^2-2), (-y)^(1/2)
< z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0],
[-4194303/4194304, -4194303/4194304], [2, 2]]]], [[4, 9, 9, 3, 1], [v = -1, 
And(0 < u,u < 1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [-2, -\
2]]]], [[4, 9, 9, 3, 2], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2-
x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2]
, [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[4, 9, 9, 3, 3], [v = -1, And(0 < u,
u < 1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-3/2, -3
/2], [0, 0]]]], [[4, 9, 9, 3, 4], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1),
And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/
2, 1/2], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[4, 9, 9, 3, 5], [v = -1, And(0
< u,u < 1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(1/2) < z],
[regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[
4, 11, 9, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-x < y
,y < 0), z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[5, 2, 2, 1, 1], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-3/2, -3/2], [-3, -3], [-1, -1], [-3, -3]]]], [[5, 2, 2, 1, 2], [And(-1
< v,v < 0), u = -(v^2+2)^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [-1, -1], [-2, -2]]]], [
[5, 2, 2, 1, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, y < 0, And(-(
3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2],
[-3, -3], [-1, -1], [0, 0]]]], [[5, 2, 2, 1, 4], [And(-1 < v,v < 0), u = -(v^2
+2)^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-3, -3], [-1, -1], [2, 2]]]], [[5, 2, 2, 1, 5], [And(-1 < v,v < 0)
, u = -(v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-3, -3], [-1, -1], [3, 3]]]], [[5, 3, 10, 2, 1], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [-3, -3]]]], [[5,
3, 10, 2, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [1, 1], [-3631771/1048576, -1815885/524288],
[-3291611/2097152, -1645805/1048576]]]], [[5, 3, 10, 2, 3], [And(-1 < v,v < 0)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [
0, 0]]]], [[5, 3, 10, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [-3631771/1048576, -\
1815885/524288], [1645805/1048576, 822903/524288]]]], [[5, 3, 10, 2, 5], [And(
-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2
-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [3, 3]]]], [[5, 
11, 11, 2, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1
< x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [2, 2], [-4680347/1048576, -2340173/524288], [
-3, -3]]]], [[5, 11, 11, 2, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [-\
4680347/1048576, -2340173/524288], [-3291611/2097152, -1645805/1048576]]]], [[
5, 11, 11, 2, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [-\
4680347/1048576, -2340173/524288], [0, 0]]]], [[5, 11, 11, 2, 4], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [2, 2], [-4680347/1048576, -2340173/524288], [1645805/1048576, 822903
/524288]]]], [[5, 11, 11, 2, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [-\
4680347/1048576, -2340173/524288], [3, 3]]]], [[5, 13, 8, 1, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-12, -12], [-5, -5]]]], [[5, 13
, 8, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, z =
-(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-12, -12], [-\
1738867/524288, -3477733/1048576]]]], [[5, 13, 8, 1, 3], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2
))], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-12, -12], [0, 0]]]], [[5
, 13, 8, 1, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2,
z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [-12, -12],
[3477733/1048576, 1738867/524288]]]], [[5, 13, 8, 1, 5], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [3, 3], [1, 1], [-12, -12], [5, 5]]]], [[6, 5, 11, 6, 1], [v = 0,
And(-1 < u,u < 0), 1 < x, y = -x, z < 0], [regular_chain, [[0, 0], [-1/2, -1/2
], [2, 2], [-2, -2], [-1, -1]]]], [[6, 5, 11, 6, 2], [v = 0, And(-1 < u,u < 0)
, 1 < x, y = -x, z = 0], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-2, -\
2], [0, 0]]]], [[6, 5, 11, 6, 3], [v = 0, And(-1 < u,u < 0), 1 < x, y = -x, 0
< z], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-2, -2], [1, 1]]]], [[6,
8, 1, 1, 1], [v = 0, u = 1, x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain,
[[0, 0], [1, 1], [-3, -3], [-1, -1], [-3, -3]]]], [[6, 8, 1, 1, 2], [v = 0, u
= 1, x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3,
-3], [-1, -1], [-2, -2]]]], [[6, 8, 1, 1, 3], [v = 0, u = 1, x < -2, y < 0, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3
, -3], [-1, -1], [0, 0]]]], [[6, 8, 1, 1, 4], [v = 0, u = 1, x < -2, y < 0, z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3, -3], [-1, -1], [2, 2]]]
], [[6, 8, 1, 1, 5], [v = 0, u = 1, x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-3, -3], [-1, -1], [3, 3]]]], [[6, 11, 9, 3,
1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-19/2, -19/2], [-\
4, -4]]]], [[6, 11, 9, 3, 2], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(-
u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9/2
, 9/2], [-19/2, -19/2], [-146543/65536, -2344687/1048576]]]], [[6, 11, 9, 3, 3
], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2
], [-19/2, -19/2], [0, 0]]]], [[6, 11, 9, 3, 4], [v = 0, 2^(1/2) < u, And(1 <
x,x < u^2-1), And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0
, 0], [3, 3], [9/2, 9/2], [-19/2, -19/2], [2344687/1048576, 146543/65536]]]],
[[6, 11, 9, 3, 5], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1), And(-u^2-x-1 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-19
/2, -19/2], [4, 4]]]], [[7, 2, 4, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2)
, x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-\
1, -1], [-2, -2], [-3, -3]]]], [[7, 2, 4, 2, 2], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -\
3/2], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[7, 2, 4,
2, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, y = -2, And(-3^(1/2) < z
,z < 3^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-2, -2],
[-1/4194304, -1/4194304]]]], [[7, 2, 4, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2
], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[7, 2, 4, 2, 5],
[And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-2, -2], [3, 3]]]], [[7,
8, 2, 5, 1], [And(0 < v,v < 1), u = v, x = -1, 1 < y, z = z], [regular_chain,
[[1/2, 1/2], [1/2, 1/2], [-1, -1], [2, 2], [0, 0]]]], [[7, 10, 3, 4, 1], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [
0, 0], [-3, -3]]]], [[7, 10, 3, 4, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [0, 0], [-1284239/1048576, -\
642119/524288]]]], [[7, 10, 3, 4, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [0
, 0], [0, 0]]]], [[7, 10, 3, 4, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(
-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576
]]]], [[7, 10, 3, 4, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x <
-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [-3/2, -3/2], [0, 0], [3, 3]]]], [[7, 10, 4, 1, 1], [And(0 < v
,v < 1), u = (v^2+1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [-2, -2], [-3, -3]]]]
, [[7, 10, 4, 1, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, y < -1, z =
-(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072],
[-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[7, 10, 4, 1, 3]
, [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072]
, [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[7, 10, 4, 1, 4], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [-2, -2], [908093/
524288, 1816187/1048576]]]], [[7, 10, 4, 1, 5], [And(0 < v,v < 1), u = (v^2+1)
^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1, -1], [-2, -2], [3, 3]]]], [[7, 12, 2, 5,
1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, And(3 < y,y < 4), z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [7/2, 7/2], [0, 0]]]], [[8,
4, 4, 3, 1], [v = 1, u = -2^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)
], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/
2, -1/2], [-3, -3]]]], [[8, 4, 4, 3, 2], [v = 1, u = -2^(1/2), x = -1, And(-1
< y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]],
[[8, 4, 4, 3, 3], [v = 1, u = -2^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^
(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[8, 4, 4, 3, 4], [v = 1, u
= -2^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [642119/524288
, 1284239/1048576]]]], [[8, 4, 4, 3, 5], [v = 1, u = -2^(1/2), x = -1, And(-1
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[8, 6, 3, 4, 1], [v = 1, u
= -1, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [-1
, -1], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[8, 6, 3, 4, 2], [v = 1, u = -1, 
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1],
[-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[8, 6, 3, 4, 3]
, [v = 1, u = -1, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2)
)], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[8, 6
, 3, 4, 4], [v = 1, u = -1, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [0, 0], [741455/1048576, 46341
/65536]]]], [[8, 6, 3, 4, 5], [v = 1, u = -1, And(-1 < x,x < 0), y = 0, (-x)^(
1/2) < z], [regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [0, 0], [2, 2]]]],
[[8, 10, 4, 2, 1], [v = 1, u = 1, x = 0, y = -1, z < -1], [regular_chain, [[1,
1], [1, 1], [0, 0], [-1, -1], [-2, -2]]]], [[8, 10, 4, 2, 2], [v = 1, u = 1, x
= 0, y = -1, z = -1], [regular_chain, [[1, 1], [1, 1], [0, 0], [-1, -1], [-1,
-1]]]], [[8, 10, 4, 2, 3], [v = 1, u = 1, x = 0, y = -1, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [0, 0], [-1, -1], [0, 0]]]], [[8, 10, 4, 2, 4]
, [v = 1, u = 1, x = 0, y = -1, z = 1], [regular_chain, [[1, 1], [1, 1], [0, 0
], [-1, -1], [1, 1]]]], [[8, 10, 4, 2, 5], [v = 1, u = 1, x = 0, y = -1, 1 < z
], [regular_chain, [[1, 1], [1, 1], [0, 0], [-1, -1], [2, 2]]]], [[8, 12, 5, 3
, 1], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/
2], [-3/4, -3/4], [-3, -3]]]], [[8, 12, 5, 3, 2], [v = 1, u = 2^(1/2), And(-1
< x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072,
-1172343/1048576]]]], [[8, 12, 5, 3, 3], [v = 1, u = 2^(1/2), And(-1 < x,x < 0
), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/4,
-3/4], [0, 0]]]], [[8, 12, 5, 3, 4], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), 
And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543
/131072]]]], [[8, 12, 5, 3, 5], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(-x
-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[9, 2, 7, 3, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[9,
2, 7, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), 
And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-2, -2],
[-1284239/1048576, -642119/524288]]]], [[9, 2, 7, 3, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-2, -2], [0, 0]]]], [[9,
2, 7, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), 
And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-2, -2],
[642119/524288, 1284239/1048576]]]], [[9, 2, 7, 3, 5], [And(1 < v,v < 2^(1/2))
, u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-2, -2], [3, 3]]]], [[9, 4, 5, 5, 1], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 4, 5, 5
, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[9, 4, 5, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 4, 5, 5, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 4, 5,
5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4], [2, 2]
]]], [[9, 12, 4, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 0, 0 < y, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743
/1048576], [0, 0], [1, 1], [0, 0]]]], [[9, 14, 5, 6, 1], [And(1 < v,v < 2^(1/2
)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1
/2], [1/2, 1/2], [-1, -1]]]], [[9, 14, 5, 6, 2], [And(1 < v,v < 2^(1/2)), u =
(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/
2, 1/2], [0, 0]]]], [[9, 14, 5, 6, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1
/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/2, 1/2],
[1, 1]]]], [[10, 2, 7, 6, 1], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y = 0, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2],
[0, 0], [0, 0]]]], [[10, 4, 6, 1, 1], [v = 2^(1/2), u = -3^(1/2), x = 0, y < -\
2, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[10, 4, 6,
1, 2], [v = 2^(1/2), u = -3^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 4,
6, 1, 3], [v = 2^(1/2), u = -3^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (
-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[
10, 4, 6, 1, 4], [v = 2^(1/2), u = -3^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[10, 4, 6, 1
, 5], [v = 2^(1/2), u = -3^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [0, 0], [-3, -3], [3, 3]]]], [[10, 8, 7, 1, 1], [v = 2^(1/2), u = -1
, And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[10, 8
, 7, 1, 2], [v = 2^(1/2), u = -1, And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [
-4, -4], [-7846825/4194304, -980853/524288]]]], [[10, 8, 7, 1, 3], [v = 2^(1/2
), u = -1, And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-\
4, -4], [0, 0]]]], [[10, 8, 7, 1, 4], [v = 2^(1/2), u = -1, And(0 < x,x < 1),
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1, -1], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[10, 8
, 7, 1, 5], [v = 2^(1/2), u = -1, And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-\
4, -4], [3, 3]]]], [[10, 10, 4, 8, 1], [v = 2^(1/2), u = 0, x = -1, y = 2, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [2, 2
], [0, 0]]]], [[10, 16, 2, 5, 1], [v = 2^(1/2), u = 3^(1/2), x = -2, 2 < y, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-2, -2], [3, 3], [0, 0]]]], [[10, 18, 1, 6, 1], [v = 2^(1/2
), u = 2, x < -3, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [4, 4], [-1, -1]]]], [[10, 18, 1, 6, 2], [v = 2^(1
/2), u = 2, x < -3, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [4, 4], [0, 0]]]], [[10, 18, 1, 6, 3], [v = 2^(1/2
), u = 2, x < -3, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [4, 4], [1, 1]]]], [[10, 18, 1, 8, 1], [v = 2^(1/2
), u = 2, x < -3, y = 1-x, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [5, 5], [0, 0]]]], [[10, 19, 10, 2, 1], [v = 2^(1/
2), 2 < u, x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [6, 6], [-14, -14], [-4, -4]]]], [[10
, 19, 10, 2, 2], [v = 2^(1/2), 2 < u, x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [-14,
-14], [-2965821/1048576, -11863283/4194304]]]], [[10, 19, 10, 2, 3], [v = 2^(1
/2), 2 < u, x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [-14, -\
14], [-3/8388608, -3/8388608]]]], [[10, 19, 10, 2, 4], [v = 2^(1/2), 2 < u, x
= u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [6, 6], [-14, -14], [741455/262144, 2965821/1048576]
]]], [[10, 19, 10, 2, 5], [v = 2^(1/2), 2 < u, x = u^2-3, y = -2*u^2+4, (u^2-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6
], [-14, -14], [4, 4]]]], [[11, 6, 2, 5, 1], [2^(1/2) < v, u = -v, x = -1, 1 <
y, z = z], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [2, 2], [0, 0]]]], [[
11, 8, 4, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, y < -1, z < -(1-y)^
(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -\
1], [-2, -2], [-3, -3]]]], [[11, 8, 4, 1, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2)
, x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[11, 8, 4, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, y <
-1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-2965821
/1048576, -11863283/4194304], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]],
[[11, 8, 4, 1, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, y < -1, z = (1-y)
^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1,
-1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[11, 8, 4, 1, 5], [2^(1/2
) < v, u = -(v^2-1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [
[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-2, -2], [3, 3]]]],
[[11, 11, 11, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
-u^2+v^2-1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3
, 3], [0, 0], [9, 9], [-19, -19], [-5, -5]]]], [[11, 11, 11, 2, 2], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [-19, -19],
[-3315889/1048576, -207243/65536]]]], [[11, 11, 11, 2, 3], [2^(1/2) < v, And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [0, 0]
, [9, 9], [-19, -19], [0, 0]]]], [[11, 11, 11, 2, 4], [2^(1/2) < v, And(-(v^2-\
2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9, 9], [-19, -19], [207243/
65536, 3315889/1048576]]]], [[11, 11, 11, 2, 5], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[3, 3], [0, 0], [9, 9], [-19, -19], [5, 5]]]], [[11,
13, 8, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2
+v^2-1, And(u^2-v^2+1 < y,y < 0), z = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [133259/262144, 533037/1048576], [-133259/524288, -\
133259/524288], [0, 0]]]], [[11, 19, 8, 2, 1], [2^(1/2) < v, And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/
262144, 518045/1048576], [-200527383/67108864, -100263691/33554432], [-3, -3]]
]], [[11, 19, 8, 2, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-\
200527383/67108864, -100263691/33554432], [-1655969/1048576, -3311937/2097152]
]]], [[11, 19, 8, 2, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511
/262144, 518045/1048576], [-200527383/67108864, -100263691/33554432], [-1/
4194304, -1/4194304]]]], [[11, 19, 8, 2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 
518045/1048576], [-200527383/67108864, -100263691/33554432], [51749/32768, 
1655969/1048576]]]], [[11, 19, 8, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 
518045/1048576], [-200527383/67108864, -100263691/33554432], [3, 3]]]], [[11,
21, 5, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [1/4
, 1/4], [-2, -2]]]], [[11, 21, 5, 5, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[11, 21, 5, 5, 3], [2^(1/2
) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [1/
4, 1/4], [0, 0]]]], [[11, 21, 5, 5, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-\
1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
5, 5], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 21, 5, 5, 5], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 1,
1, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1,
1], [-6, -6]]]], [[1, 1, 1, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2
+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-5, -5], [-18, -18], [1, 1], [-2161695/524288, -4323389/1048576]]]], [[1, 1,
1, 4, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[-5, -5], [-18, -18], [1, 1], [0, 0]]]], [[1, 1, 1, 4, 4], [v < -2^(1/2), u <
-(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [1, 1], [4323389/1048576, 
2161695/524288]]]], [[1, 1, 1, 4, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -
u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3]
, [-5, -5], [-18, -18], [1, 1], [6, 6]]]], [[1, 2, 7, 7, 1], [v < -2^(1/2), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain
, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [1/4, 1/4], [0,
0]]]], [[1, 8, 6, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, 0 < y, z =
z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0],
[1, 1], [0, 0]]]], [[1, 10, 4, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -\
1, And(1 < y,y < 2), z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [3/2, 3/2], [0, 0]]]], [[1, 13, 10, 7, 1], [v < -2
^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< 0), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1,
1], [-515539/2097152, -515539/2097152], [0, 0]]]], [[1, 15, 10, 1, 1], [v < -2
^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1/2)
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-4,
-4], [-3, -3]]]], [[1, 15, 10, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u <
-v), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 15, 10, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,
u < -v), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-4, -4]
, [-1/4194304, -1/4194304]]]], [[1, 15, 10, 1, 4], [v < -2^(1/2), And((v^2-1)^
(1/2) < u,u < -v), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-4, -4], [908093/524288,
1816187/1048576]]]], [[1, 15, 10, 1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,
u < -v), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1, 1], [-4, -4], [3, 3]]]], [[1, 21, 7, 7,
1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y < u^2-v^2-
x-1), z = z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [29/4, 29/4], [0,
0]]]], [[2, 2, 3, 1, 1], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y < -x-3,
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [-2, -2], [-2, -2], [-3, -3]]]], [[2, 2, 3, 1, 2], [v = -2^(1/2), u = -2,
And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [-2, -2], [-2, -2]]]], [[2, 2, 3
, 1, 3], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-2, -2], [-2, -2], [0, 0]]]], [[2, 2, 3, 1, 4], [v = -2^(1/2), u =
-2, And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [-2, -2], [2, 2]]]], [[2
, 2, 3, 1, 5], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -\
2], [-2, -2], [3, 3]]]], [[2, 9, 10, 2, 1], [v = -2^(1/2), And(-1 < u,u < 0),
x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [-15/4, -15/4], [-3, -3]]]], [[2, 9, 10,
2, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1],
[-15/4, -15/4], [-1738867/1048576, -3477733/2097152]]]], [[2, 9, 10, 2, 3], [v
= -2^(1/2), And(-1 < u,u < 0), x = 1, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (
-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [1, 1], [-15/4, -15/4], [-1/4194304, -1/4194304]]]], [[2, 9, 10, 2, 4],
[v = -2^(1/2), And(-1 < u,u < 0), x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [-15
/4, -15/4], [869433/524288, 1738867/1048576]]]], [[2, 9, 10, 2, 5], [v = -2^(1
/2), And(-1 < u,u < 0), x = 1, y = u^2-4, (-u^2+3)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [-15/4, -15/4], [3,
3]]]], [[2, 11, 7, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+
1), And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [3/8, 3/8], [-3/16, -3/16], [0, 0]]]], [[2, 17, 7, 2, 1],
[v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x+1, z <
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339
/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-2855353/
1048576, -5710705/2097152], [-3, -3]]]], [[2, 17, 7, 2, 2], [v = -2^(1/2), And
(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x+1, z = -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339
/2097152], [505467/2097152, 505467/2097152], [-2855353/1048576, -5710705/
2097152], [-825991/524288, -3303963/2097152]]]], [[2, 17, 7, 2, 3], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^
(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152],
[-2855353/1048576, -5710705/2097152], [-1/4194304, -1/4194304]]]], [[2, 17, 7,
2, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x
+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-2855353
/1048576, -5710705/2097152], [1651981/1048576, 825991/524288]]]], [[2, 17, 7,
2, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x
+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-2855353
/1048576, -5710705/2097152], [3, 3]]]], [[2, 19, 4, 5, 1], [v = -2^(1/2), 2 <
u, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 19,
4, 5, 2], [v = -2^(1/2), 2 < u, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [1/2, 1/
2], [-1482911/2097152, -741455/1048576]]]], [[2, 19, 4, 5, 3], [v = -2^(1/2),
2 < u, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[2, 19, 4, 5, 4], [v = -2^(1/2), 2 < u, x = -1, And(0 < y,y <
1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2, 19, 4, 5, 5],
[v = -2^(1/2), 2 < u, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[3, 3, 8, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1),
z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/
524288], [-57648787/33554432, -57648787/33554432], [-3, -3]]]], [[3, 3, 8, 3,
2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-57648787/33554432, -\
57648787/33554432], [-583671/524288, -1167341/1048576]]]], [[3, 3, 8, 3, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-
v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z <
(-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
57648787/33554432, -57648787/33554432], [0, 0]]]], [[3, 3, 8, 3, 4], [And(-2^(
1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 
And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-57648787/33554432, -\
57648787/33554432], [1167341/1048576, 583671/524288]]]], [[3, 3, 8, 3, 5], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-
v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-57648787/33554432, -\
57648787/33554432], [3, 3]]]], [[3, 5, 7, 6, 1], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-558339/2097152, -558339/2097152], [0, 0], [-2, -2]]]], [[
3, 5, 7, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(
u^2-v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [0, 0], [-270523/524288, -1082091/2097152]]]], [[3,
5, 7, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-558339/2097152, -558339/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[3,
5, 7, 6, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [0, 0], [541045/1048576, 270523/524288]]]], [[3, 5, 7, 6, 5],
[And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x
< 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [0, 0], [2, 2]]]], [[3, 11, 7, 3, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-1646781/2097152, -1646781/2097152], [-2, -2]]]], [[3, 11, 7, 3, 2]
, [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x
,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-1646781/2097152, -1646781/
2097152], [-1, -1]]]], [[3, 11, 7, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+
v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/
2097152, -450371/2097152], [-1646781/2097152, -1646781/2097152], [0, 0]]]], [[
3, 11, 7, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And
(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-450371/2097152, -450371/2097152], [-1646781/2097152, -\
1646781/2097152], [1, 1]]]], [[3, 11, 7, 3, 5], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152
], [-1646781/2097152, -1646781/2097152], [2, 2]]]], [[3, 13, 8, 2, 1], [And(-2
^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [0, 0], [-384703/262144, -1538811/1048576],
[-3, -3]]]], [[3, 13, 8, 2, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0
], [-384703/262144, -1538811/1048576], [-1270261/1048576, -317565/262144]]]],
[[3, 13, 8, 2, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [-384703/262144, -1538811/1048576], [0, 0]]]], [[3,
13, 8, 2, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0,
y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-384703/262144,
-1538811/1048576], [317565/262144, 1270261/1048576]]]], [[3, 13, 8, 2, 5], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [0, 0], [-384703/262144, -1538811/
1048576], [3, 3]]]], [[3, 13, 9, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [1/2, 1/2], [-401729/524288, -401729/524288], [-2,
-2]]]], [[3, 13, 9, 5, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(
1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-401729/524288, -401729/524288], [-1082093/
2097152, -270523/524288]]]], [[3, 13, 9, 5, 3], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-401729/
524288, -401729/524288], [0, 0]]]], [[3, 13, 9, 5, 4], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [1/2, 1/2], [-401729/524288, -401729/
524288], [270523/524288, 541047/1048576]]]], [[3, 13, 9, 5, 5], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-401729/524288, -\
401729/524288], [2, 2]]]], [[3, 15, 8, 6, 1], [And(-2^(1/2) < v,v < -1), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [0, 0], [0, 0]]]], [[4, 3, 9, 7, 1],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), And(u^2-x-2 < y
,y < 0), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [-275385/2097152, -275385/
2097152], [0, 0]]]], [[4, 5, 9, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(
0 < x,x < 1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[4, 5,
9, 1, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[4, 5, 9, 1,
3], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [1/2, 1/2], [-3, -3], [0, 0]]]], [[4, 5, 9, 1, 4], [v = -1,
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
3, -3], [207243/131072, 1657945/1048576]]]], [[4, 5, 9, 1, 5], [v = -1, And(-2
^(1/2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
3, -3], [3, 3]]]], [[4, 9, 9, 6, 1], [v = -1, And(0 < u,u < 1), And(0 < x,x <
1), y = -x, z < 0], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-1/2,
-1/2], [-1, -1]]]], [[4, 9, 9, 6, 2], [v = -1, And(0 < u,u < 1), And(0 < x,x <
1), y = -x, z = 0], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[4, 9, 9, 6, 3], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1
), y = -x, 0 < z], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-1/2, -\
1/2], [1, 1]]]], [[4, 11, 10, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, 
And(u^2-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1265743
/1048576, 1265743/1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [-2,
-2]]]], [[4, 11, 10, 5, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, And(u^2-3
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [-273157/
524288, -1092627/2097152]]]], [[4, 11, 10, 5, 3], [v = -1, And(1 < u,u < 2^(1/
2)), x = 1, And(u^2-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
2666417/2097152, -2666417/2097152], [-1/4194304, -1/4194304]]]], [[4, 11, 10,
5, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, And(u^2-3 < y,y < -1), z = (-y-\
1)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1,
1], [-2666417/2097152, -2666417/2097152], [546313/1048576, 273157/524288]]]],
[[4, 11, 10, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, And(u^2-3 < y,y <
-1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [2, 2]]]], [[5, 2, 2,
2, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [0, 0], [-3, -3]]]], [[5
, 2, 2, 2, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, y = 0, z = -3^(
1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [0, 0], [-\
1816187/1048576, -3632373/2097152]]]], [[5, 2, 2, 2, 3], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[5, 2, 2, 2, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3,
y = 0, z = 3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [0
, 0], [908093/524288, 1816187/1048576]]]], [[5, 2, 2, 2, 5], [And(-1 < v,v < 0
), u = -(v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [-3/2, -3/2], [-3, -3], [0, 0], [3, 3]]]], [[5, 3, 10, 7, 1], [And(-1 < v
,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,
y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144
], [1, 1], [-1125067/4194304, -1125067/4194304], [0, 0]]]], [[5, 11, 10, 6, 1]
, [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = u^2
-v^2-2, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[1, 1], [-281267/524288, -1125067/2097152], [0, 0]]]], [[5, 13, 7, 9, 1], [And
(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2-x-1 < y, z = z],
[regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [9, 9], [0, 0]]]], [[6, 5,
10, 8, 1], [v = 0, And(-1 < u,u < 0), x = 1, y = 0, z = z], [regular_chain, [[
0, 0], [-1/2, -1/2], [1, 1], [0, 0], [0, 0]]]], [[6, 7, 11, 7, 1], [v = 0, And
(0 < u,u < 1), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [1/2
, 1/2], [2, 2], [-1, -1], [0, 0]]]], [[6, 11, 8, 7, 1], [v = 0, 2^(1/2) < u, x
= 1, And(0 < y,y < u^2-2), z = z], [regular_chain, [[0, 0], [3, 3], [1, 1], [7
/2, 7/2], [0, 0]]]], [[7, 2, 4, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2],
[-1, -1], [-3, -3], [-3, -3]]]], [[7, 2, 4, 1, 2], [And(0 < v,v < 1), u = -(v^
2+2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
3/2, -3/2], [-1, -1], [-3, -3], [-2, -2]]]], [[7, 2, 4, 1, 3], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-3, -3], [0, 0]]]], [[
7, 2, 4, 1, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, y < -2, z = (1-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-3, -3], [2,
2]]]], [[7, 2, 4, 1, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -1, y < -2
, (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [-3,
-3], [3, 3]]]], [[7, 8, 1, 5, 1], [And(0 < v,v < 1), u = v, x < -1, And(-1-x <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -\
2], [3/2, 3/2], [-2, -2]]]], [[7, 8, 1, 5, 2], [And(0 < v,v < 1), u = v, x < -\
1, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2
, 1/2], [-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[7, 8,
1, 5, 3], [And(0 < v,v < 1), u = v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2
], [3/2, 3/2], [0, 0]]]], [[7, 8, 1, 5, 4], [And(0 < v,v < 1), u = v, x < -1,
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/
2], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[7, 8, 1, 5, 5],
[And(0 < v,v < 1), u = v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [3/2, 3/2], [2, 2]]]], [[7,
10, 3, 1, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x
-2, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[7, 10, 3, 1, 2], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-\
2, -2], [-7846825/4194304, -980853/524288]]]], [[7, 10, 3, 1, 3], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072
], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[7, 10, 3, 1, 4], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-\
2, -2], [980853/524288, 1961707/1048576]]]], [[7, 10, 3, 1, 5], [And(0 < v,v <
1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-\
2, -2], [3, 3]]]], [[7, 10, 4, 6, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x
= -1, y = 1, z < 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1, -1], [1, 1], [-1, -1]]]], [[7, 10, 4, 6, 2], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1, -1], [1, 1], [0, 0]]]], [[7, 10, 4, 6, 3
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain
, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [1, 1], [1, 1]]]],
[[7, 12, 2, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, y = 4, z = z]
, [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [4, 4], [0, 0]]]], [[8, 4
, 5, 3, 1], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[8, 4, 5, 3, 2], [v = 1, u = -2^(1/2)
, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3/4, -3/4], [-\
146543/131072, -1172343/1048576]]]], [[8, 4, 5, 3, 3], [v = 1, u = -2^(1/2), 
And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2],
[-3/4, -3/4], [0, 0]]]], [[8, 4, 5, 3, 4], [v = 1, u = -2^(1/2), And(-1 < x,x
< 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576
, 146543/131072]]]], [[8, 4, 5, 3, 5], [v = 1, u = -2^(1/2), And(-1 < x,x < 0)
, And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[8, 6, 3, 7,
1], [v = 1, u = -1, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1, 1]
, [-1, -1], [-1/2, -1/2], [2, 2], [0, 0]]]], [[8, 10, 5, 2, 1], [v = 1, u = 1,
And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[1, 1], [1, 1], [1/2, 1/
2], [-3/2, -3/2], [-2, -2]]]], [[8, 10, 5, 2, 2], [v = 1, u = 1, And(0 < x,x <
1), y = -1-x, z = -1], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-3/2, -3/
2], [-1, -1]]]], [[8, 10, 5, 2, 3], [v = 1, u = 1, And(0 < x,x < 1), y = -1-x,
And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-3/2, -3/2],
[0, 0]]]], [[8, 10, 5, 2, 4], [v = 1, u = 1, And(0 < x,x < 1), y = -1-x, z = 1
], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[8,
10, 5, 2, 5], [v = 1, u = 1, And(0 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[8, 12,
5, 4, 1], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0]
, [-2, -2]]]], [[8, 12, 5, 4, 2], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y =
0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[8, 12, 5, 4,
3], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -\
1/2], [0, 0], [0, 0]]]], [[8, 12, 5, 4, 4], [v = 1, u = 2^(1/2), And(-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911
/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[8, 12, 5,
4, 5], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0]
, [2, 2]]]], [[9, 2, 8, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x
= 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [-3, -3]]]],
[[9, 2, 8, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, y < -4,
z = -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [-2, -2]]]], [[9, 2, 8,
1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, y < -4, And(-(-y-1)
^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [0, 0]]]], [
[9, 2, 8, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, y < -4, z
= (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [2, 2]]]], [[9, 2, 8, 1,
5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, y < -4, (-y-1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [-5, -5], [3, 3]]]], [[9, 4, 6, 1, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [0, 0], [-3, -3], [-3, -3]]]], [[9, 4, 6, 1, 2], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0],
[-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[9, 4, 6, 1, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[9,
4, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y < -2, z = (
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]
]], [[9, 4, 6, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y <
-2, (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [0, 0], [-3, -3], [3, 3]]]], [[9, 12, 4, 2,
1], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y = -1, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0],
[-1, -1], [-2, -2]]]], [[9, 12, 4, 2, 2], [And(1 < v,v < 2^(1/2)), u = v, x =
0, y = -1, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[9, 12, 4,
2, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y = -1, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[9, 12, 4, 2, 4], [And(1 < v,v < 2^(1/
2)), u = v, x = 0, y = -1, z = 1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[9
, 12, 4, 2, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y = -1, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[9, 14, 4, 6, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [1, 1],
[-1, -1]]]], [[9, 14, 4, 6, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x
= -1, y = 1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-1, -1], [1, 1], [0, 0]]]], [[9, 14, 4, 6, 3
], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [1, 1], [1, 1]]]], [[10, 2, 7, 5, 1], [v = 2^(1/2), u = -2,
And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 4, 5, 3
, 1], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[10, 4,
5, 3, 2], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/4, -3/4], [-146543/
131072, -1172343/1048576]]]], [[10, 4, 5, 3, 3], [v = 2^(1/2), u = -3^(1/2), 
And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[10, 4, 5, 3, 4], [v
= 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]
]]], [[10, 4, 5, 3, 5], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(-x-\
2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/4, -3/4], [3
, 3]]]], [[10, 8, 6, 3, 1], [v = 2^(1/2), u = -1, x = 0, And(-2 < y,y < 0), z
< -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [
0, 0], [-1, -1], [-2, -2]]]], [[10, 8, 6, 3, 2], [v = 2^(1/2), u = -1, x = 0,
And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [-1, -1], [-1, -1]]]], [[10, 8, 6, 3, 3], [v = 2^(
1/2), u = -1, x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1],
[0, 0]]]], [[10, 8, 6, 3, 4], [v = 2^(1/2), u = -1, x = 0, And(-2 < y,y < 0),
z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[0, 0], [-1, -1], [1, 1]]]], [[10, 8, 6, 3, 5], [v = 2^(1/2), u = -1, x = 0, 
And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [-1, -1], [2, 2]]]], [[10, 10, 4, 1, 1], [v = 2^(1
/2), u = 0, x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [0, 0], [-1, -1], [-3, -3], [-3, -3]]]], [[10, 10, 4, 1, 2
], [v = 2^(1/2), u = 0, x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-3, -3], [-2, -2]]]], [[10
, 10, 4, 1, 3], [v = 2^(1/2), u = 0, x = -1, y < -2, And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1,
-1], [-3, -3], [0, 0]]]], [[10, 10, 4, 1, 4], [v = 2^(1/2), u = 0, x = -1, y <
-2, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [-1, -1], [-3, -3], [2, 2]]]], [[10, 10, 4, 1, 5], [v = 2^(1/2), u = 0, x =
-1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [0, 0], [-1, -1], [-3, -3], [3, 3]]]], [[10, 16, 2, 4, 1], [v = 2^(1/2), u
= 3^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[
10, 16, 2, 4, 2], [v = 2^(1/2), u = 3^(1/2), x = -2, y = 2, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-2, -2], [2, 2], [0, 0]]]], [[10, 16, 2, 4, 3], [v = 2^(1/2), u = 3
^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [1, 1]]]], [[10,
18, 1, 1, 1], [v = 2^(1/2), u = 2, x < -3, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-1, -1],
[-4, -4]]]], [[10, 18, 1, 1, 2], [v = 2^(1/2), u = 2, x < -3, y < 0, z = -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4]
, [-1, -1], [-146543/65536, -2344687/1048576]]]], [[10, 18, 1, 1, 3], [v = 2^(
1/2), u = 2, x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-1, -1],
[0, 0]]]], [[10, 18, 1, 1, 4], [v = 2^(1/2), u = 2, x < -3, y < 0, z = (-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [
-1, -1], [2344687/1048576, 146543/65536]]]], [[10, 18, 1, 1, 5], [v = 2^(1/2),
u = 2, x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-4, -4], [-1, -1], [4, 4]]]], [[10, 18, 2, 6, 1], [
v = 2^(1/2), u = 2, x = -3, y = 4, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-3, -3], [4, 4], [0, 0]]]], [[10, 19, 10, 5, 1], [v
= 2^(1/2), 2 < u, x = u^2-3, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [6, 6], [-3, -3], [0, 0]]]], [[11, 6,
3, 5, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-2,
-2]]]], [[11, 6, 3, 5, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(0 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2],
[1/4, 1/4], [-1/2, -1/2]]]], [[11, 6, 3, 5, 3], [2^(1/2) < v, u = -v, And(-1 <
x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 6
, 3, 5, 4], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [1/2
, 1/2]]]], [[11, 6, 3, 5, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2],
[1/4, 1/4], [2, 2]]]], [[11, 8, 4, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x
= -1, y = -1, z < -2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [-1, -1], [-3, -3]]]], [[11, 8, 4, 2, 2], [2^(1/2
) < v, u = -(v^2-1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1, -1], [-1482911/
1048576, -741455/524288]]]], [[11, 8, 4, 2, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [
-2965821/1048576, -11863283/4194304], [-1, -1], [-1, -1], [0, 0]]]], [[11, 8,
4, 2, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1,
-1], [741455/524288, 1482911/1048576]]]], [[11, 8, 4, 2, 5], [2^(1/2) < v, u =
-(v^2-1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-1, -1], [-1, -1], [3, 3]]]], [[11, 11,
11, 9, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1
< x, 0 < y, z = z], [regular_chain, [[3, 3], [0, 0], [9, 9], [1, 1], [0, 0]]]]
, [[11, 13, 9, 1, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152
], [-5, -5], [-4, -4]]]], [[11, 13, 9, 1, 2], [2^(1/2) < v, And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [-5, -5], [-1080317/524288, -2160633/1048576]]]], [
[11, 13, 9, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [-5, -5], [0, 0]]]], [[11, 13, 9, 1, 4], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^
2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [1581613/2097152, 1581613/2097152], [-5, -5], [2160633/
1048576, 1080317/524288]]]], [[11, 13, 9, 1, 5], [2^(1/2) < v, And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
1581613/2097152, 1581613/2097152], [-5, -5], [4, 4]]]], [[11, 19, 8, 7, 1], [2
^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, 0 < y, z
= z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/
262144, 518045/1048576], [1, 1], [0, 0]]]], [[11, 21, 5, 6, 1], [2^(1/2) < v,
(v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[3, 3],
[5, 5], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 21, 5, 6, 2], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[3,
3], [5, 5], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[11, 21, 5, 6, 3], [2^(1/2)
< v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3
, 3], [5, 5], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 4, 5, 1, 1], [v < -2^(
1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3
, -3], [-3, -3]]]], [[1, 4, 5, 1, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-\
1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -\
980853/524288]]]], [[1, 4, 5, 1, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1
< x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3, -3], [0, 0]
]]], [[1, 4, 5, 1, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y
< -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[
1, 4, 5, 1, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2
, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[1, 6, 4, 2, 1], [v < -2^(1/2), u
= v, x = 0, y = -1, z < -1], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1,
-1], [-2, -2]]]], [[1, 6, 4, 2, 2], [v < -2^(1/2), u = v, x = 0, y = -1, z = -\
1], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1, -1], [-1, -1]]]], [[1, 6
, 4, 2, 3], [v < -2^(1/2), u = v, x = 0, y = -1, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1, -1], [0, 0]]]], [[1, 6, 4, 2,
4], [v < -2^(1/2), u = v, x = 0, y = -1, z = 1], [regular_chain, [[-3, -3], [-\
3, -3], [0, 0], [-1, -1], [1, 1]]]], [[1, 6, 4, 2, 5], [v < -2^(1/2), u = v, x
= 0, y = -1, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1, -1], [2
, 2]]]], [[1, 12, 1, 2, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y = 0, z
< -(-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4,
-4], [0, 0], [-3, -3]]]], [[1, 12, 1, 2, 2], [v < -2^(1/2), u = (v^2-2)^(1/2),
x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [-4, -4], [0, 0], [-2, -2]]]], [[1, 12, 1, 2, 3], [v < -2^(1/2),
u = (v^2-2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [0, 0], [0,
0]]]], [[1, 12, 1, 2, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y = 0, z =
(-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4
], [0, 0], [2, 2]]]], [[1, 12, 1, 2, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x <
-3, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837
/4096], [-4, -4], [0, 0], [3, 3]]]], [[1, 13, 9, 7, 1], [v < -2^(1/2), And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1
< y,y < 0), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [1581613/2097152, 1581613/2097152], [-128885/1048576, -128885/1048576], [0,
0]]]], [[1, 17, 10, 1, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1
, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [1, 1], [-4, -4], [-3, -3]]]], [[1, 17, 10, 1, 2], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^
(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-4
, -4], [-1816187/1048576, -3632373/2097152]]]], [[1, 17, 10, 1, 3], [v < -2^(1
/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[1, 17, 10, 1, 4], [v < -2^
(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-4, -4],
[908093/524288, 1816187/1048576]]]], [[1, 17, 10, 1, 5], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-4, -4], [3
, 3]]]], [[1, 19, 9, 4, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
1566621/2097152, -1566621/2097152], [-1, -1]]]], [[1, 19, 9, 4, 2], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -
x, z = 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [-1566621/2097152, -1566621/2097152], [0, 0
]]]], [[1, 19, 9, 4, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), And(u^2-v^2-1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
1566621/2097152, -1566621/2097152], [1, 1]]]], [[2, 3, 10, 5, 1], [v = -2^(1/2
), And(-2 < u,u < -3^(1/2)), x = 1, And(-1 < y,y < u^2-4), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-1591685/2097152, -1591685/2097152], [0, 0]]]], [[2
, 5, 9, 8, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = 0
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 5, 10, 8, 1],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 1, y = 0, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1,
1], [0, 0], [0, 0]]]], [[2, 7, 11, 7, 1], [v = -2^(1/2), And(v < u,u < -1), 1
< x, And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[
2, 13, 7, 8, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y =
-x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [239655/1048576
, 239655/1048576], [-1, -1]]]], [[2, 13, 7, 8, 2], [v = -2^(1/2), And(1 < u,u
< -v), And(-u^2+1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [239655/1048576, 239655/1048576], [0, 0]]]], [[2, 13, 7, 8
, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-239655/1048576, -239655/1048576], [239655/1048576, 239655/1048576
], [1, 1]]]], [[2, 15, 8, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0
, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [0, 0], [1, 1], [0, 0]]]], [[2, 19, 5, 5, 1], [v =
-2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [1/4
, 1/4], [-2, -2]]]], [[2, 19, 5, 5, 2], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0
), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[2, 19, 5
, 5, 3], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2, 19, 5, 5, 4], [v =
-2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [1/4
, 1/4], [1/2, 1/2]]]], [[2, 19, 5, 5, 5], [v = -2^(1/2), 2 < u, And(-1 < x,x <
0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3, 1, 11, 8, 1
], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = 0, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [0,
0], [0, 0]]]], [[3, 7, 9, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^
2-1)^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [-1/4, -1/4], [0, 0]]]], [[3, 9, 9, 1, 1], [And(-2^(1/2) < v,v < -1),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-
v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-5, -5], [-4, -4]]]], [
[3, 9, 9, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-5, -5], [-2167143/1048576, -1083571/524288]]]], [[3, 9,
9, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2))
, And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
1527887/2097152, 1527887/2097152], [-5, -5], [0, 0]]]], [[3, 9, 9, 1, 4], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2
-1 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-5, -\
5], [1083571/524288, 2167143/1048576]]]], [[3, 9, 9, 1, 5], [And(-2^(1/2) < v,
v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1),
y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-5, -5], [4, 4]
]]], [[3, 17, 5, 1, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 <
x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-10, -10], [-5, -5]]]], [[3
, 17, 5, 1, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0
), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1/2, -1/2], [-10, -10], [-3397775/1048576, -\
1698887/524288]]]], [[3, 17, 5, 1, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2
) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2,
-1/2], [-10, -10], [0, 0]]]], [[3, 17, 5, 1, 4], [And(-2^(1/2) < v,v < -1), (v
^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-\
10, -10], [1698887/524288, 3397775/1048576]]]], [[3, 17, 5, 1, 5], [And(-2^(1/
2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
1/2, -1/2], [-10, -10], [5, 5]]]], [[4, 1, 11, 4, 1], [v = -1, u < -3^(1/2), u
^2-2 < x, y = -x, z < 0], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-8, -8
], [-1, -1]]]], [[4, 1, 11, 4, 2], [v = -1, u < -3^(1/2), u^2-2 < x, y = -x, z
= 0], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-8, -8], [0, 0]]]], [[4, 1
, 11, 4, 3], [v = -1, u < -3^(1/2), u^2-2 < x, y = -x, 0 < z], [regular_chain,
[[-1, -1], [-3, -3], [8, 8], [-8, -8], [1, 1]]]], [[4, 7, 9, 1, 1], [v = -1, 
And(-1 < u,u < 0), And(0 < x,x < 1), y < u^2-x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[4
, 7, 9, 1, 2], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y < u^2-x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-4, -4],
[-7846825/4194304, -980853/524288]]]], [[4, 7, 9, 1, 3], [v = -1, And(-1 < u,u
< 0), And(0 < x,x < 1), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [0, 0]]]], [[4,
7, 9, 1, 4], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y < u^2-x-2, z = (-
x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [
980853/524288, 1961707/1048576]]]], [[4, 7, 9, 1, 5], [v = -1, And(-1 < u,u <
0), And(0 < x,x < 1), y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1
], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [3, 3]]]], [[4, 9, 8, 2, 1], [v = -1, 
And(0 < u,u < 1), x = 0, y = u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1
, -1], [1/2, 1/2], [0, 0], [-7/4, -7/4], [-3, -3]]]], [[4, 9, 8, 2, 2], [v = -\
1, And(0 < u,u < 1), x = 0, y = u^2-2, z = -(-u^2+2)^(1/2)], [regular_chain, [
[-1, -1], [1/2, 1/2], [0, 0], [-7/4, -7/4], [-10837/8192, -1387135/1048576]]]]
, [[4, 9, 8, 2, 3], [v = -1, And(0 < u,u < 1), x = 0, y = u^2-2, And(-(-u^2+2)
^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0]
, [-7/4, -7/4], [0, 0]]]], [[4, 9, 8, 2, 4], [v = -1, And(0 < u,u < 1), x = 0,
y = u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0],
[-7/4, -7/4], [1387135/1048576, 10837/8192]]]], [[4, 9, 8, 2, 5], [v = -1, And
(0 < u,u < 1), x = 0, y = u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1
], [1/2, 1/2], [0, 0], [-7/4, -7/4], [3, 3]]]], [[4, 13, 8, 7, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 0 < y, z = z], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [1,
1], [0, 0]]]], [[4, 15, 6, 1, 1], [v = -1, 3^(1/2) < u, x = 0, y < -u^2, z < -
(-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-10, -10], [-5, -5]]]
], [[4, 15, 6, 1, 2], [v = -1, 3^(1/2) < u, x = 0, y < -u^2, z = -(-y)^(1/2)],
[regular_chain, [[-1, -1], [3, 3], [0, 0], [-10, -10], [-3315889/1048576, -\
207243/65536]]]], [[4, 15, 6, 1, 3], [v = -1, 3^(1/2) < u, x = 0, y < -u^2, 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [0, 0
], [-10, -10], [0, 0]]]], [[4, 15, 6, 1, 4], [v = -1, 3^(1/2) < u, x = 0, y <
-u^2, z = (-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-10, -10],
[207243/65536, 3315889/1048576]]]], [[4, 15, 6, 1, 5], [v = -1, 3^(1/2) < u, x
= 0, y < -u^2, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [0, 0], [-\
10, -10], [5, 5]]]], [[5, 5, 9, 2, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2]
, [-3994043/2097152, -15976171/8388608], [-3, -3]]]], [[5, 5, 9, 2, 2], [And(-\
1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-\
1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608], [-19417/
16384, -1242687/1048576]]]], [[5, 5, 9, 2, 3], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608], [0, 0]]]
], [[5, 5, 9, 2, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0
< x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-3994043/2097152, -\
15976171/8388608], [1242687/1048576, 19417/16384]]]], [[5, 5, 9, 2, 5], [And(-\
1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608], [3, 3]]]]
, [[5, 7, 10, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y < u^2-v^2
-2, z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-4, -4
], [-3, -3]]]], [[5, 7, 10, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x =
1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[5, 7, 10, 1, 3], [
And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-4, -4
], [-1/4194304, -1/4194304]]]], [[5, 7, 10, 1, 4], [And(-1 < v,v < 0), And(v <
u,u < -v), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [0, 0], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[5, 7, 10
, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y < u^2-v^2-2, (-y-1)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-4, -4], [3, 3]]]],
[[5, 7, 11, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(u^2-v^2-x
-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
0, 0], [2, 2], [-3, -3], [-2, -2]]]], [[5, 7, 11, 3, 2], [And(-1 < v,v < 0), 
And(v < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-3, -3], [-1, -1]]]], [
[5, 7, 11, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(u^2-v^2-x-\
1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-3, -3], [0, 0]]]], [[5, 7, 11,
3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -
u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2]
, [-3, -3], [1, 1]]]], [[5, 7, 11, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v
), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-3, -3], [2, 2]]]], [[5, 10, 1,
2, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [0,
0], [-3, -3]]]], [[5, 10, 1, 2, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x <
-2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[5
, 10, 1, 2, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y = 0, And(-(-x
)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[5, 10, 1, 2,
4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [0,
0], [908093/524288, 1816187/1048576]]]], [[5, 10, 1, 2, 5], [And(-1 < v,v < 0)
, u = (v^2+1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [1172343/1048576, 146543/131072], [-3, -3], [0, 0], [3, 3]]]], [[6, 2, 4
, 1, 1], [v = 0, u = -2^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-3, -3]
, [-3, -3]]]], [[6, 2, 4, 1, 2], [v = 0, u = -2^(1/2), x = -1, y < -2, z = -(1
-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1,
-1], [-3, -3], [-2, -2]]]], [[6, 2, 4, 1, 3], [v = 0, u = -2^(1/2), x = -1, y
< -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [0, 0]]]], [[6, 2, 4, 1,
4], [v = 0, u = -2^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[
0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [2, 2]]]], [[6,
2, 4, 1, 5], [v = 0, u = -2^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-3, -3]
, [3, 3]]]], [[6, 4, 1, 4, 1], [v = 0, u = -1, x < -2, y = -x-2, z < -2^(1/2)]
, [regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1], [-3, -3]]]], [[6, 4, 1,
4, 2], [v = 0, u = -1, x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[0, 0
], [-1, -1], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[6, 4,
1, 4, 3], [v = 0, u = -1, x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [1, 1], [0, 0]]]], [[6, 4, 1, 4, 4
], [v = 0, u = -1, x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[0, 0], [-\
1, -1], [-3, -3], [1, 1], [741455/524288, 1482911/1048576]]]], [[6, 4, 1, 4, 5
], [v = 0, u = -1, x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[0, 0], [-\
1, -1], [-3, -3], [1, 1], [3, 3]]]], [[6, 8, 2, 2, 1], [v = 0, u = 1, x = -2,
y = 0, z < -2^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0], [-3,
-3]]]], [[6, 8, 2, 2, 2], [v = 0, u = 1, x = -2, y = 0, z = -2^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0], [-1482911/1048576, -741455/
524288]]]], [[6, 8, 2, 2, 3], [v = 0, u = 1, x = -2, y = 0, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[0, 0], [1, 1], [-2, -2], [0, 0], [0, 0]]]], [[6
, 8, 2, 2, 4], [v = 0, u = 1, x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[0
, 0], [1, 1], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 8, 2
, 2, 5], [v = 0, u = 1, x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[0, 0],
[1, 1], [-2, -2], [0, 0], [3, 3]]]], [[6, 10, 1, 3, 1], [v = 0, u = 2^(1/2), x
< -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[6, 10, 1
, 3, 2], [v = 0, u = 2^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1/2, 1/2
], [-7846825/4194304, -980853/524288]]]], [[6, 10, 1, 3, 3], [v = 0, u = 2^(1/
2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1/2, 1/2]
, [0, 0]]]], [[6, 10, 1, 3, 4], [v = 0, u = 2^(1/2), x < -3, And(0 < y,y < -x-\
3), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[6, 10,
1, 3, 5], [v = 0, u = 2^(1/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1/2, 1/2
], [3, 3]]]], [[7, 4, 2, 4, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2,
y = 2, z < 0], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576]
, [-2, -2], [2, 2], [-1, -1]]]], [[7, 4, 2, 4, 2], [And(0 < v,v < 1), u = -(v^
2+1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-2, -2], [2, 2], [0, 0]]]], [[7, 4, 2, 4, 3], [And
(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[1/
2, 1/2], [-146543/131072, -1172343/1048576], [-2, -2], [2, 2], [1, 1]]]], [[7,
6, 1, 5, 1], [And(0 < v,v < 1), u = -v, x < -1, And(-1-x < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [3/2, 3/2], [
-2, -2]]]], [[7, 6, 1, 5, 2], [And(0 < v,v < 1), u = -v, x < -1, And(-1-x < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -\
2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[7, 6, 1, 5, 3], [And
(0 < v,v < 1), u = -v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [3/2, 3/2
], [0, 0]]]], [[7, 6, 1, 5, 4], [And(0 < v,v < 1), u = -v, x < -1, And(-1-x <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2,
-2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[7, 6, 1, 5, 5], [And(0 <
v,v < 1), u = -v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [3/2, 3/2], [2, 2]]]], [[7
, 13, 10, 5, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-u^2
+v^2+1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4],
[-31/8, -31/8], [0, 0]]]], [[8, 2, 5, 4, 1], [v = 1, u = -3^(1/2), And(-1 < x,
x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[8, 2, 5, 4, 2], [v = 1,
u = -3^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[8, 2, 5, 4, 3], [v = 1, u = -3^(1/2), And(-1 <
x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1]
, [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[8,
2, 5, 4, 4], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [
0, 0], [741455/1048576, 46341/65536]]]], [[8, 2, 5, 4, 5], [v = 1, u = -3^(1/2
), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [2, 2]]]], [[8, 8, 4
, 4, 1], [v = 1, u = 0, x = -1, y = 0, z < -1], [regular_chain, [[1, 1], [0, 0
], [-1, -1], [0, 0], [-2, -2]]]], [[8, 8, 4, 4, 2], [v = 1, u = 0, x = -1, y =
0, z = -1], [regular_chain, [[1, 1], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[
8, 8, 4, 4, 3], [v = 1, u = 0, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[8, 8, 4, 4, 4],
[v = 1, u = 0, x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [0, 0], [-1, -1
], [0, 0], [1, 1]]]], [[8, 8, 4, 4, 5], [v = 1, u = 0, x = -1, y = 0, 1 < z],
[regular_chain, [[1, 1], [0, 0], [-1, -1], [0, 0], [2, 2]]]], [[8, 10, 3, 1, 1
], [v = 1, u = 1, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[8, 10,
3, 1, 2], [v = 1, u = 1, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -\
207243/131072]]]], [[8, 10, 3, 1, 3], [v = 1, u = 1, And(-1 < x,x < 0), y < -1
-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1, 1],
[-1/2, -1/2], [-2, -2], [0, 0]]]], [[8, 10, 3, 1, 4], [v = 1, u = 1, And(-1 <
x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1/2,
-1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[8, 10, 3, 1, 5], [v =
1, u = 1, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[1,
1], [1, 1], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[8, 14, 3, 4, 1], [v = 1, u =
3^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[8, 14, 3, 4
, 2], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [0, 0], [-\
1482911/1048576, -741455/524288]]]], [[8, 14, 3, 4, 3], [v = 1, u = 3^(1/2), 
And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [0, 0], [0
, 0]]]], [[8, 14, 3, 4, 4], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2,
-2], [0, 0], [741455/524288, 1482911/1048576]]]], [[8, 14, 3, 4, 5], [v = 1, u
= 3^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1]
, [908093/524288, 1816187/1048576], [-2, -2], [0, 0], [3, 3]]]], [[8, 15, 11,
3, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[1, 1], [3, 3], [8, 8], [-25/2, -25/2], [-4, -4]]]], [[8
, 15, 11, 3, 2], [v = 1, 3^(1/2) < u, u^2-2 < x, And(-u^2-x < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [8, 8], [-25/2, -25/2], [-\
1112183/524288, -2224365/1048576]]]], [[8, 15, 11, 3, 3], [v = 1, 3^(1/2) < u,
u^2-2 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [8, 8], [-25/2, -25/2], [0, 0]]]], [[8, 15, 11
, 3, 4], [v = 1, 3^(1/2) < u, u^2-2 < x, And(-u^2-x < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[1, 1], [3, 3], [8, 8], [-25/2, -25/2], [2224365/
1048576, 1112183/524288]]]], [[8, 15, 11, 3, 5], [v = 1, 3^(1/2) < u, u^2-2 <
x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3, 3],
[8, 8], [-25/2, -25/2], [4, 4]]]], [[9, 6, 4, 5, 1], [And(1 < v,v < 2^(1/2)),
u = -v, x = 0, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[9
, 8, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0),
y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [
[9, 8, 5, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0
), y = -x-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3/2, -3/2], [-1482911/
1048576, -741455/524288]]]], [[9, 8, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[9, 8, 5, 2, 4], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[9
, 8, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0),
y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[9,
8, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), 
And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-3/2, -3/2]
, [-2, -2]]]], [[9, 8, 7, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1
/2], [-3/2, -3/2], [-1, -1]]]], [[9, 8, 7, 3, 3], [And(1 < v,v < 2^(1/2)), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[9, 8,
7, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-
x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-3/2, -3/2], [1, 1
]]]], [[9, 8, 7, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x
,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-3
/2, -3/2], [2, 2]]]], [[9, 10, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^
(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 10, 5, 5, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 10, 5
, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/
2], [1/4, 1/4], [0, 0]]]], [[9, 10, 5, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^
2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 10, 5, 5, 5], [And(1 <
v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 16, 4, 7, 1
], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649
/1048576], [-1, -1], [3/2, 3/2], [0, 0]]]], [[10, 1, 1, 6, 1], [v = 2^(1/2), u
< -2, x < -u^2+1, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-9, -9], [9, 9], [-1, -1]]]], [[10, 1, 1, 6, 2], [v = 2^(
1/2), u < -2, x < -u^2+1, y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-9, -9], [9, 9], [0, 0]]]], [[10, 1, 1, 6, 3], [v
= 2^(1/2), u < -2, x < -u^2+1, y = -x, 0 < z], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [-9, -9], [9, 9], [1, 1]]]], [[10, 4, 7, 4, 1],
[v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2,
1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 4, 7, 4, 2], [v = 2^(1/2), u = -3^(1/2)
, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-1/2, -1/2], [0,
0]]]], [[10, 4, 7, 4, 3], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y = -x
, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576
, -3632373/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 6, 6, 1, 1], [
v = 2^(1/2), u = -v, x = 1, y < -2, z < -(-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [
-3, -3], [-3, -3]]]], [[10, 6, 6, 1, 2], [v = 2^(1/2), u = -v, x = 1, y < -2,
z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1482911/1048576, -741455
/524288]]]], [[10, 6, 6, 1, 3], [v = 2^(1/2), u = -v, x = 1, y < -2, And(-(-y-\
1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [0, 0]]]], [[
10, 6, 6, 1, 4], [v = 2^(1/2), u = -v, x = 1, y < -2, z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[10, 6, 6, 1,
5], [v = 2^(1/2), u = -v, x = 1, y < -2, (-y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [
-3, -3], [3, 3]]]], [[10, 12, 3, 5, 1], [v = 2^(1/2), u = 1, And(-2 < x,x < -1
), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[10, 12, 3,
5, 2], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/
2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[10, 12, 3, 5, 3], [
v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1
], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[10, 12, 3, 5, 4],
[v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [3/4,
3/4], [908093/1048576, 454047/524288]]]], [[10, 12, 3, 5, 5], [v = 2^(1/2), u
= 1, And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]]
, [[10, 14, 1, 7, 1], [v = 2^(1/2), u = v, x < -1, -x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [3, 3], [0, 0]]]], [[11, 2, 5, 4, 1], [2^(1/2) < v, u = -(
v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[
11, 2, 5, 4, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[11, 2, 5, 4, 3
], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 2, 5, 4, 4], [2^(1/2) < v, u
= -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[11, 2, 5, 4, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2),
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 4, 2, 5, 1],
[2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, 2 < y, z = z], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-2, -2], [3, 3], [0, 0]]]], [[11, 10,
2, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [0, 0]
, [-3, -3]]]], [[11, 10, 2, 2, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y
= 0, z = -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[11, 10,
2, 2, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z
< 3^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-\
3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 10, 2, 2, 4], [2^(1/2) < v,
u = -(v^2-2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/
1048576]]]], [[11, 10, 2, 2, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y =
0, 3^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576]
, [-3, -3], [0, 0], [3, 3]]]], [[11, 11, 10, 1, 1], [2^(1/2) < v, And(-(v^2-2)
^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-
y+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [8, 8], [-19, -19], [-5, -5]]]],
[[11, 11, 10, 1, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
3, 3], [0, 0], [8, 8], [-19, -19], [-1738867/524288, -3477733/1048576]]]], [[
11, 11, 10, 1, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
= -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^
(1/2))], [regular_chain, [[3, 3], [0, 0], [8, 8], [-19, -19], [0, 0]]]], [[11,
11, 10, 1, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u
^2+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [8, 8], [-19, -19], [3477733/1048576, 1738867/524288]]]], [[11, 11, 10
, 1, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2
-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [0, 0]
, [8, 8], [-19, -19], [5, 5]]]], [[11, 15, 7, 7, 1], [2^(1/2) < v, And((v^2-1)
^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [258285/2097152, 258285/2097152], [-2, -2]]]], [[11
, 15, 7, 7, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x
,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [258285
/2097152, 258285/2097152], [-183995/524288, -367989/1048576]]]], [[11, 15, 7,
7, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0),
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152]
, [258285/2097152, 258285/2097152], [0, 0]]]], [[11, 15, 7, 7, 4], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [-516571/2097152, -516571/2097152], [258285/2097152, 258285/2097152], [
367989/1048576, 183995/524288]]]], [[11, 15, 7, 7, 5], [2^(1/2) < v, And((v^2-\
1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [258285/2097152, 258285/2097152], [2, 2]]]], [[11,
17, 8, 2, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-\
1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [0, 0], [-195745/131072, -1565959/1048576], [-3, -3]]]], [[11, 17, 8,
2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[0, 0], [-195745/131072, -1565959/1048576], [-1281417/1048576, -160177/131072]
]]], [[11, 17, 8, 2, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y
= -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-195745/
131072, -1565959/1048576], [0, 0]]]], [[11, 17, 8, 2, 4], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-195745/
131072, -1565959/1048576], [160177/131072, 1281417/1048576]]]], [[11, 17, 8, 2
, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0
, 0], [-195745/131072, -1565959/1048576], [3, 3]]]], [[1, 1, 1, 5, 1], [v < -2
^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [19/2, 19/2],
[-4, -4]]]], [[1, 1, 1, 5, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2
-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3
], [-5, -5], [-18, -18], [19/2, 19/2], [-24456785/8388608, -1528549/524288]]]]
, [[1, 1, 1, 5, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^
2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [-18, -18], [19/2, 19/2], [0, 0]]]], [[1,
1, 1, 5, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x
-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-18,
-18], [19/2, 19/2], [1528549/524288, 3057099/1048576]]]], [[1, 1, 1, 5, 5], [v
< -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [19/2, 19/
2], [4, 4]]]], [[1, 2, 7, 8, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,
x < 1), y = 1-x, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733
/1048576], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[1, 8, 6, 4, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [-2965821
/1048576, -11863283/4194304], [0, 0], [0, 0], [-1, -1]]]], [[1, 8, 6, 4, 2], [
v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [0, 0], [0, 0], [0, 0]]]], [[1, 8,
6, 4, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [0, 0], [0, 0
], [1, 1]]]], [[1, 10, 4, 6, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, y
= 1, z < 0], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[-1, -1], [1, 1], [-1, -1]]]], [[1, 10, 4, 6, 2], [v < -2^(1/2), u = -(v^2-2)^
(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [1, 1], [0, 0]]]], [[1, 10, 4, 6, 3], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [1, 1], [1, 1]]]], [[1, 13, 10,
8, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = 0,
z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1, 1], [
0, 0], [0, 0]]]], [[1, 15, 10, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u <
-v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [1, 1], [-5258313/2097152, -657289/
262144], [-3, -3]]]], [[1, 15, 10, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u
,u < -v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-5258313/2097152, -657289/
262144], [-1287385/1048576, -160923/131072]]]], [[1, 15, 10, 2, 3], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1
/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [0, 0]]]], [[1,
15, 10, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^
2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [160923/131072,
1287385/1048576]]]], [[1, 15, 10, 2, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,
u < -v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [1, 1], [-5258313/2097152, -657289/
262144], [3, 3]]]], [[1, 21, 7, 6, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0
< x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [0,
0], [0, 0]]]], [[2, 2, 2, 7, 1], [v = -2^(1/2), u = -2, x = -3, 4 < y, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3], [5, 5
], [0, 0]]]], [[2, 9, 10, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(
u^2-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [-19/8, -19/8], [-3, -3]]]], [[2, 9, 10,
3, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y < -1), z = -(-
y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2]
, [1, 1], [-19/8, -19/8], [-1229565/1048576, -307391/262144]]]], [[2, 9, 10, 3
, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y < -1), And(-(-y
-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [1, 1], [-19/8, -19/8], [0, 0]]]], [[2, 9, 10, 3, 4], [
v = -2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y < -1), z = (-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1],
[-19/8, -19/8], [307391/262144, 1229565/1048576]]]], [[2, 9, 10, 3, 5], [v = -
2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [-19
/8, -19/8], [3, 3]]]], [[2, 11, 7, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), And
(0 < x,x < -u^2+1), y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [3/8, 3/8], [0, 0], [0, 0]]]], [[2, 17, 7, 1, 1], [v = -
2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y < -u^2-x+1, z < -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-4, -4], [-3, -3
]]]], [[2, 17, 7, 1, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x <
u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/
2097152], [-4, -4], [-32527793/16777216, -2032987/1048576]]]], [[2, 17, 7, 1,
3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y < -u^2-x+1,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/
2097152], [-4, -4], [0, 0]]]], [[2, 17, 7, 1, 4], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), And(0 < x,x < u^2-3), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [-4, -4], [2032987/1048576, 508247
/262144]]]], [[2, 17, 7, 1, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 <
x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/2097152,
505467/2097152], [-4, -4], [3, 3]]]], [[2, 19, 4, 4, 1], [v = -2^(1/2), 2 < u,
x = -1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[2, 19, 4, 4, 2], [v = -2^(1/2), 2 < u,
x = -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[2, 19, 4, 4, 3], [v = -2^(1/2), 2 < u,
x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[2, 19, 4, 4, 4], [v = -2^(1/2
), 2 < u, x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1, -1], [0, 0], [1, 1]]]], [[2, 19, 4, 4, 5], [v = -2^(1/2)
, 2 < u, x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1, -1], [0, 0], [2, 2]]]], [[3, 3, 8, 4, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u
^2+v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
250983/524288, -501965/1048576], [-1, -1]]]], [[3, 3, 8, 4, 2], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u
^2+v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
250983/524288, -501965/1048576], [0, 0]]]], [[3, 3, 8, 4, 3], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2
+v^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
250983/524288, -501965/1048576], [1, 1]]]], [[3, 5, 7, 7, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(0 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [279169/2097152, 279169/2097152], [-2, -2]]]], [[3, 5, 7, 7, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [279169/2097152, 279169/2097152], [-191289/524288, -382577/
1048576]]]], [[3, 5, 7, 7, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [
279169/2097152, 279169/2097152], [0, 0]]]], [[3, 5, 7, 7, 4], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(0 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [279169/2097152, 279169/2097152], [382577/1048576, 191289/524288]]]]
, [[3, 5, 7, 7, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-558339/2097152, -558339/2097152], [279169/2097152, 279169/2097152], [2, 2]]]
], [[3, 11, 7, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-355399/262144, -1421595/
1048576], [-3, -3]]]], [[3, 11, 7, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-355399/262144,
-1421595/1048576], [-1314069/1048576, -328517/262144]]]], [[3, 11, 7, 2, 3], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-355399/262144, -1421595/
1048576], [0, 0]]]], [[3, 11, 7, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-355399/262144,
-1421595/1048576], [328517/262144, 1314069/1048576]]]], [[3, 11, 7, 2, 5], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [-355399/262144, -1421595/1048576], [3, 3]]]], [[3, 13, 8,
1, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u
^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-3, -3], [-3, -3]]]], [
[3, 13, 8, 1, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-3, -3], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 13, 8, 1, 3], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]
]], [[3, 13, 8, 1, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)
), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[3, 13, 8, 1, 5], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [-3, -3], [3, 3]]]], [[3, 13, 9, 4, 1], [And(-2^(1/2
) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-\
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1082629/1048576, -\
270657/262144], [-2, -2]]]], [[3, 13, 9, 4, 2], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [1/2, 1/2], [-1082629/1048576, -270657/262144], [-\
765155/1048576, -1530309/2097152]]]], [[3, 13, 9, 4, 3], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-\
1082629/1048576, -270657/262144], [-1/4194304, -1/4194304]]]], [[3, 13, 9, 4,
4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1)
, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1082629
/1048576, -270657/262144], [382577/524288, 765155/1048576]]]], [[3, 13, 9, 4,
5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1)
, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1082629
/1048576, -270657/262144], [2, 2]]]], [[3, 15, 8, 5, 1], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 <
y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-501965/
2097152, -501965/2097152], [0, 0]]]], [[4, 3, 9, 8, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = 0, z = z], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152],
[0, 0], [0, 0]]]], [[4, 5, 9, 2, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(0
< x,x < 1), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [1/2, 1/2], [-8208699/4194304, -32834795/16777216], [-3, -3
]]]], [[4, 5, 9, 2, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y
= -u^2-x, z = u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-8208699/4194304, -32834795/16777216], [-1265743/
1048576, -1265743/1048576]]]], [[4, 5, 9, 2, 3], [v = -1, And(-2^(1/2) < u,u <
-1), And(0 < x,x < 1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -\
1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-8208699/4194304, -\
32834795/16777216], [0, 0]]]], [[4, 5, 9, 2, 4], [v = -1, And(-2^(1/2) < u,u <
-1), And(0 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-8208699/4194304, -32834795/
16777216], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 9, 2, 5], [v = -1, 
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -u^2-x, -u < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
8208699/4194304, -32834795/16777216], [3, 3]]]], [[4, 9, 9, 5, 1], [v = -1, 
And(0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-5/8, -5/8], [-2, -2]]]]
, [[4, 9, 9, 5, 2], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/
2], [-5/8, -5/8], [-46341/131072, -370727/1048576]]]], [[4, 9, 9, 5, 3], [v =
-1, And(0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2],
[-5/8, -5/8], [0, 0]]]], [[4, 9, 9, 5, 4], [v = -1, And(0 < u,u < 1), And(0 <
x,x < 1), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [1/2, 1/2], [1/2, 1/2], [-5/8, -5/8], [370727/1048576, 46341/131072]]]], [[4
, 9, 9, 5, 5], [v = -1, And(0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2], [-5
/8, -5/8], [2, 2]]]], [[4, 11, 10, 4, 1], [v = -1, And(1 < u,u < 2^(1/2)), x =
1, y = u^2-3, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1, 1], [-3235683/2097152, -1617841/1048576], [-2,
-2]]]], [[4, 11, 10, 4, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y = u^2-3,
z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1, 1], [-3235683/2097152, -1617841/1048576], [-772605/1048576, -\
1545209/2097152]]]], [[4, 11, 10, 4, 3], [v = -1, And(1 < u,u < 2^(1/2)), x =
1, y = u^2-3, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[
-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-3235683/2097152, -\
1617841/1048576], [-1/4194304, -1/4194304]]]], [[4, 11, 10, 4, 4], [v = -1, 
And(1 < u,u < 2^(1/2)), x = 1, y = u^2-3, z = (-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-3235683/2097152, -\
1617841/1048576], [193151/262144, 772605/1048576]]]], [[4, 11, 10, 4, 5], [v =
-1, And(1 < u,u < 2^(1/2)), x = 1, y = u^2-3, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
3235683/2097152, -1617841/1048576], [2, 2]]]], [[5, 2, 2, 3, 1], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [3/2, 3/2], [-3, -3]]]],
[[5, 2, 2, 3, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y
< 3), z = -(3-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3]
, [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[5, 2, 2, 3, 3], [And(-1
< v,v < 0), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z
,z < (3-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [3/
2, 3/2], [0, 0]]]], [[5, 2, 2, 3, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[5, 2,
2, 3, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3
-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [3/2, 3
/2], [3, 3]]]], [[5, 3, 10, 8, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [1, 1], [0, 0], [0, 0]]]], [[5, 11, 10, 5, 1],
[And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-1 <
y,y < u^2-v^2-2), z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [1, 1], [-805555/1048576, -805555/1048576], [0, 0]]]], [[5, 13
, 7, 8, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = u^2-v
^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [29/4, 29/4
], [0, 0]]]], [[6, 5, 10, 9, 1], [v = 0, And(-1 < u,u < 0), x = 1, 0 < y, z =
z], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [1, 1], [0, 0]]]], [[6, 7,
11, 8, 1], [v = 0, And(0 < u,u < 1), 1 < x, y = 0, z = z], [regular_chain, [[0
, 0], [1/2, 1/2], [2, 2], [0, 0], [0, 0]]]], [[6, 11, 8, 6, 1], [v = 0, 2^(1/2
) < u, x = 1, y = 0, z = z], [regular_chain, [[0, 0], [3, 3], [1, 1], [0, 0],
[0, 0]]]], [[7, 2, 3, 9, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x
,x < -1), 1-x < y, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2]
, [4, 4], [0, 0]]]], [[7, 8, 1, 6, 1], [And(0 < v,v < 1), u = v, x < -1, y = -
x, z < 0], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [2, 2], [-1, -1]
]]], [[7, 8, 1, 6, 2], [And(0 < v,v < 1), u = v, x < -1, y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [2, 2], [0, 0]]]], [[7, 8, 1
, 6, 3], [And(0 < v,v < 1), u = v, x < -1, y = -x, 0 < z], [regular_chain, [[1
/2, 1/2], [1/2, 1/2], [-2, -2], [2, 2], [1, 1]]]], [[7, 10, 3, 2, 1], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-\
1/2, -1/2], [-3, -3]]]], [[7, 10, 3, 2, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/
2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[7, 10, 3, 2, 3], [And(0 < v,v < 1), u = (v^2+1)
^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-\
1/2, -1/2], [0, 0]]]], [[7, 10, 3, 2, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 
1482911/1048576]]]], [[7, 10, 3, 2, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2),
And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[7, 
10, 4, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, 1 < y, z = z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [2, 2]
, [0, 0]]]], [[7, 12, 2, 7, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3,
4 < y, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [5, 5], [0,
0]]]], [[8, 4, 5, 2, 1], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y = -x-2, z
< -2^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/
2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[8, 4, 5, 2, 2], [v = 1, u = -2^(1/2), 
And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[1, 1], [-1482911
/1048576, -741455/524288], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -\
741455/524288]]]], [[8, 4, 5, 2, 3], [v = 1, u = -2^(1/2), And(-1 < x,x < 0),
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[8, 4, 5, 2,
4], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3/
2, -3/2], [741455/524288, 1482911/1048576]]]], [[8, 4, 5, 2, 5], [v = 1, u = -
2^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[1, 1], [
-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[8,
6, 3, 6, 1], [v = 1, u = -1, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain
, [[1, 1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 6, 3, 6, 2],
[v = 1, u = -1, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1, 1], [-\
1, -1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 6, 3, 6, 3], [v = 1, u = -1,
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1, 1], [-1, -1], [-1/2, -\
1/2], [1/2, 1/2], [1, 1]]]], [[8, 10, 5, 3, 1], [v = 1, u = 1, And(0 < x,x < 1
), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1],
[1/2, 1/2], [-1, -1], [-2, -2]]]], [[8, 10, 5, 3, 2], [v = 1, u = 1, And(0 < x
,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1
, 1], [1/2, 1/2], [-1, -1], [-1482911/2097152, -741455/1048576]]]], [[8, 10, 5
, 3, 3], [v = 1, u = 1, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-1,
-1], [0, 0]]]], [[8, 10, 5, 3, 4], [v = 1, u = 1, And(0 < x,x < 1), And(-1-x <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-1
, -1], [741455/1048576, 46341/65536]]]], [[8, 10, 5, 3, 5], [v = 1, u = 1, And
(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1
], [1, 1], [1/2, 1/2], [-1, -1], [2, 2]]]], [[8, 12, 5, 5, 1], [v = 1, u = 2^(
1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2
]]]], [[8, 12, 5, 5, 2], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[8, 12, 5, 5, 3], [v = 1
, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1
/2, -1/2], [1/4, 1/4], [0, 0]]]], [[8, 12, 5, 5, 4], [v = 1, u = 2^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[8
, 12, 5, 5, 5], [v = 1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1
/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 2, 7, 9, 1], [And(1 < v,v < 2^(1/2)), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2],
[2, 2], [0, 0]]]], [[9, 4, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/
2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [2, 2], [0
, 0]]]], [[9, 12, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 0, And(-1 < y,
y < 0), z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[9, 12
, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u = v, x = 0, And(-1 < y,y < 0), z = -(-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-1482911/2097152, -741455/
1048576]]]], [[9, 12, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 0, And(-1
< y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1/2,
-1/2], [0, 0]]]], [[9, 12, 4, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, x = 0, 
And(-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [741455/
1048576, 46341/65536]]]], [[9, 12, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u = v, x
= 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [2
, 2]]]], [[9, 14, 4, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1
, 1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659
/1048576, 410915/262144], [-1, -1], [2, 2], [0, 0]]]], [[10, 2, 7, 4, 1], [v =
2^(1/2), u = -2, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[
10, 2, 7, 4, 2], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[10, 2, 7, 4, 3], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/
2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 4, 5, 2, 1], [v = 2^(1/2), u = -3^(1/2
), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/2,
-3/2], [-3, -3]]]], [[10, 4, 5, 2, 2], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,
x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[10, 4, 5, 2, 3], [v = 2^(1/2), u = -3^(
1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[10, 4, 5, 2, 4], [v = 2^(1/
2), u = -3^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[10, 4, 5, 2, 5], [
v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[10, 8, 6, 4, 1], [v = 2^(1/
2), u = -1, x = 0, y = 0, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [0, 0], [-1, -1]]]], [[10, 8, 6, 4, 2], [v = 2^(1/
2), u = -1, x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [0, 0], [0, 0]]]], [[10, 8, 6, 4, 3], [v = 2^(1/2)
, u = -1, x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [0, 0], [1, 1]]]], [[10, 10, 4, 2, 1], [v = 2^(1/2
), u = 0, x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1, -1], [-2, -2], [-3, -3]]]], [[10, 10, 4, 2, 2],
[v = 2^(1/2), u = 0, x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 10, 4, 2, 3], [v = 2^(1/2), u = 0, x = -1, y = -2,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[10, 10, 4
, 2, 4], [v = 2^(1/2), u = 0, x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[10, 10, 4, 2, 5], [v = 2^(1/2), u = 0, x = -1, y = -2,
3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1,
-1], [-2, -2], [3, 3]]]], [[10, 16, 2, 3, 1], [v = 2^(1/2), u = 3^(1/2), x = -\
2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-2, -2], [1, 1], [-2, -2]
]]], [[10, 16, 2, 3, 2], [v = 2^(1/2), u = 3^(1/2), x = -2, And(0 < y,y < 2),
z = -(2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[10, 16, 2, 3, 3], [
v = 2^(1/2), u = 3^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (
2-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-2, -2], [1, 1], [0, 0]]]], [[10, 16, 2, 3, 4], [v
= 2^(1/2), u = 3^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [1, 1]]]], [[10, 16, 2, 3, 5], [v = 2^(1/2), u = 3
^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-2, -2], [1, 1],
[2, 2]]]], [[10, 17, 11, 9, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, 0
< y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [2, 2], [1, 1], [0, 0]]]], [[10, 18, 2, 5, 1], [v =
2^(1/2), u = 2, x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-3, -3], [7/2, 7/2], [0, 0]]]], [[10, 19, 
10, 4, 1], [v = 2^(1/2), 2 < u, x = u^2-3, y = -u^2+3, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [6, 6], [-6, -6], [-1, -1]]]], [[10
, 19, 10, 4, 2], [v = 2^(1/2), 2 < u, x = u^2-3, y = -u^2+3, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [-6, -6], [0
, 0]]]], [[10, 19, 10, 4, 3], [v = 2^(1/2), 2 < u, x = u^2-3, y = -u^2+3, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [-6, -6
], [1, 1]]]], [[11, 6, 3, 6, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y =
-x, z < 0], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [-1,
-1]]]], [[11, 6, 3, 6, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = -x, z
= 0], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]],
[[11, 6, 3, 6, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 8
, 4, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z < -
(1-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304],
[-1, -1], [-1/2, -1/2], [-3, -3]]]], [[11, 8, 4, 3, 2], [2^(1/2) < v, u = -(v^
2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [-1284239/
1048576, -642119/524288]]]], [[11, 8, 4, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1/2
, -1/2], [0, 0]]]], [[11, 8, 4, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -\
1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/
1048576]]]], [[11, 8, 4, 3, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(
-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[11, 11, 11, 8, 1], [2^
(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = 0, z
= z], [regular_chain, [[3, 3], [0, 0], [9, 9], [0, 0], [0, 0]]]], [[11, 13, 8,
7, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1,
0 < y, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
133259/262144, 533037/1048576], [1, 1], [0, 0]]]], [[11, 19, 9, 1, 1], [2^(1/2
) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5], [-4, -4]]]], [
[11, 19, 9, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152]
, [-5, -5], [-540613/262144, -2162451/1048576]]]], [[11, 19, 9, 1, 3], [2^(1/2
) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y <
-u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3
], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-5
, -5], [0, 0]]]], [[11, 19, 9, 1, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [-5, -5], [2162451/1048576, 540613/262144]]]], [[11, 19, 9,
1, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 <
x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5
], [4, 4]]]], [[11, 21, 5, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,
x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [5, 5],
[-1/2, -1/2], [8, 8], [0, 0]]]], [[1, 4, 5, 2, 1], [v < -2^(1/2), u = -(v^2+1)
^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[
1, 4, 5, 2, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2
, z = -2^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536],
[-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[1, 4, 5,
2, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^
(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243
/65536], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[1, 4, 5, 2, 4], [v < -2^(1/2
), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3
/2, -3/2], [741455/524288, 1482911/1048576]]]], [[1, 4, 5, 2, 5], [v < -2^(1/2
), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3
/2, -3/2], [3, 3]]]], [[1, 6, 4, 3, 1], [v < -2^(1/2), u = v, x = 0, And(-1 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1/2
, -1/2], [-2, -2]]]], [[1, 6, 4, 3, 2], [v < -2^(1/2), u = v, x = 0, And(-1 <
y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1/2
, -1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 6, 4, 3, 3], [v < -2^(1/
2), u = v, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1/2, -1/2], [0, 0]]]], [[1, 6, 4
, 3, 4], [v < -2^(1/2), u = v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1/2, -1/2], [741455/1048576, 
46341/65536]]]], [[1, 6, 4, 3, 5], [v < -2^(1/2), u = v, x = 0, And(-1 < y,y <
0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-1/2, -1/2]
, [2, 2]]]], [[1, 12, 1, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y <
0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096
], [-4, -4], [-1, -1], [-4, -4]]]], [[1, 12, 1, 1, 2], [v < -2^(1/2), u = (v^2
-2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-4, -4], [-1, -1], [-146543/65536, -2344687/
1048576]]]], [[1, 12, 1, 1, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y <
0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-4, -4], [-1, -1], [0, 0]]]], [[1, 12, 1, 1, 4]
, [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [-1, -1], [
2344687/1048576, 146543/65536]]]], [[1, 12, 1, 1, 5], [v < -2^(1/2), u = (v^2-\
2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-4, -4], [-1, -1], [4, 4]]]], [[1, 13, 9, 6, 1]
, [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,
x < 1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [1581613/2097152, 1581613/2097152], [-257771/1048576, -128885
/524288], [0, 0]]]], [[1, 17, 10, 2, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)
^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [1, 1], [-326817/131072, -2614535/1048576
], [-3, -3]]]], [[1, 17, 10, 2, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2
)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [-\
1281417/1048576, -160177/131072]]]], [[1, 17, 10, 2, 3], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [1, 1], [-326817/131072, -2614535/1048576], [0, 0]]]], [[1, 17, 10, 2, 4], [
v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1
], [-326817/131072, -2614535/1048576], [160177/131072, 1281417/1048576]]]], [[
1, 17, 10, 2, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^
2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [3, 3]]]], [[1, 19
, 9, 5, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v
^2-1 < x,x < 1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3
], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
2097155/4194304, -2097155/4194304], [0, 0]]]], [[2, 3, 10, 4, 1], [v = -2^(1/2
), And(-2 < u,u < -3^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [-1,
-1], [-1, -1]]]], [[2, 3, 10, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [1, 1], [-1, -1], [0, 0]]]], [[2, 3, 10, 4
, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = -1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-1, -1], [1, 1]]]], [[2, 5, 9, 7, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 5, 10, 9, 1], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = 1, 0 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1, 1]
, [1, 1], [0, 0]]]], [[2, 7, 11, 8, 1], [v = -2^(1/2), And(v < u,u < -1), 1 <
x, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[2, 13, 7, 7,
1], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [239655
/2097152, 239655/2097152], [-2, -2]]]], [[2, 13, 7, 7, 2], [v = -2^(1/2), And(
1 < u,u < -v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [239655/2097152, 239655/2097152]
, [-354469/1048576, -88617/262144]]]], [[2, 13, 7, 7, 3], [v = -2^(1/2), And(1
< u,u < -v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [239655
/2097152, 239655/2097152], [0, 0]]]], [[2, 13, 7, 7, 4], [v = -2^(1/2), And(1
< u,u < -v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [239655/2097152, 239655/2097152]
, [88617/262144, 354469/1048576]]]], [[2, 13, 7, 7, 5], [v = -2^(1/2), And(1 <
u,u < -v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [239655/2097152, 239655/2097152]
, [2, 2]]]], [[2, 15, 8, 6, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0,
y = 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [0, 0], [0, 0], [-1, -1]]]], [[2, 15, 8, 6, 2], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0],
[0, 0], [0, 0]]]], [[2, 15, 8, 6, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
x = 0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [0, 0], [0, 0], [1, 1]]]], [[2, 19, 5, 6, 1
], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]
]], [[2, 19, 5, 6, 2], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), y = -x, z = 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2, -1/2], [
1/2, 1/2], [0, 0]]]], [[2, 19, 5, 6, 3], [v = -2^(1/2), 2 < u, And(-1 < x,x <
0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 1, 11, 9, 1], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [1, 1], [0, 0]]]], [[3,
7, 9, 6, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 <
x,x < 1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]]
, [[3, 7, 9, 6, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1/2, -1/2], [0,
0]]]], [[3, 7, 9, 6, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1/2, -1/
2], [1, 1]]]], [[3, 9, 8, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [
1, 1], [0, 0]]]], [[3, 17, 4, 9, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2)
< u, x = -1, u^2-v^2 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [-1, -1], [9, 9], [0, 0]]]], [[4, 1, 11, 3, 1], [v = -1, u
< -3^(1/2), u^2-2 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [8, 8], [-25/2, -25/2], [-4, -4]]]], [[4,
1, 11, 3, 2], [v = -1, u < -3^(1/2), u^2-2 < x, And(-u^2-x < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-25/2, -25/2], [-\
1112183/524288, -2224365/1048576]]]], [[4, 1, 11, 3, 3], [v = -1, u < -3^(1/2)
, u^2-2 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [-3, -3], [8, 8], [-25/2, -25/2], [0, 0]]]], [[4, 1
, 11, 3, 4], [v = -1, u < -3^(1/2), u^2-2 < x, And(-u^2-x < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-25/2, -25/2], [
2224365/1048576, 1112183/524288]]]], [[4, 1, 11, 3, 5], [v = -1, u < -3^(1/2),
u^2-2 < x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1
], [-3, -3], [8, 8], [-25/2, -25/2], [4, 4]]]], [[4, 7, 9, 2, 1], [v = -1, And
(-1 < u,u < 0), And(0 < x,x < 1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-9/4, -9/4], [-3, -3]]]],
[[4, 7, 9, 2, 2], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y = u^2-x-2, z
= -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-9/4
, -9/4], [-10837/8192, -1387135/1048576]]]], [[4, 7, 9, 2, 3], [v = -1, And(-1
< u,u < 0), And(0 < x,x < 1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2
)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-9/4, -9/4],
[0, 0]]]], [[4, 7, 9, 2, 4], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y =
u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1
/2], [-9/4, -9/4], [1387135/1048576, 10837/8192]]]], [[4, 7, 9, 2, 5], [v = -1
, And(-1 < u,u < 0), And(0 < x,x < 1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-9/4, -9/4], [3, 3]]]], [
[4, 9, 8, 3, 1], [v = -1, And(0 < u,u < 1), x = 0, And(u^2-2 < y,y < -u^2), z
< -(-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1, -1], [-2,
-2]]]], [[4, 9, 8, 3, 2], [v = -1, And(0 < u,u < 1), x = 0, And(u^2-2 < y,y <
-u^2), z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1, -\
1], [-1, -1]]]], [[4, 9, 8, 3, 3], [v = -1, And(0 < u,u < 1), x = 0, And(u^2-2
< y,y < -u^2), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1]
, [1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[4, 9, 8, 3, 4], [v = -1, And(0 <
u,u < 1), x = 0, And(u^2-2 < y,y < -u^2), z = (-y)^(1/2)], [regular_chain, [[-\
1, -1], [1/2, 1/2], [0, 0], [-1, -1], [1, 1]]]], [[4, 9, 8, 3, 5], [v = -1, 
And(0 < u,u < 1), x = 0, And(u^2-2 < y,y < -u^2), (-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-1, -1], [2, 2]]]], [[4, 13, 8,
6, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = 0, z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576,
248903/524288], [0, 0], [0, 0]]]], [[4, 15, 5, 9, 1], [v = -1, 3^(1/2) < u, 
And(-1 < x,x < 0), u^2-x-2 < y, z = z], [regular_chain, [[-1, -1], [3, 3], [-1
/2, -1/2], [9, 9], [0, 0]]]], [[5, 5, 9, 3, 1], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1),
z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [-3, -3]]]],
[[5, 5, 9, 3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x
,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2]
, [-25165827/16777216, -25165827/16777216], [-1048577/1048576, -1]]]], [[5, 5,
9, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1),
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2,
1/2], [-25165827/16777216, -25165827/16777216], [0, 0]]]], [[5, 5, 9, 3, 4], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-25165827/16777216, -\
25165827/16777216], [1, 1048577/1048576]]]], [[5, 5, 9, 3, 5], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [-25165827/16777216, -25165827/
16777216], [3, 3]]]], [[5, 7, 10, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v)
, x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [0, 0], [1, 1], [-9/4, -9/4], [-3, -3]]]], [[5, 7, 10, 2, 2], [And(-1 < v,v
< 0), And(v < u,u < -v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-9/4, -9/4], [-146543/131072, -\
1172343/1048576]]]], [[5, 7, 10, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-9/4, -9/4], [0, 0]]]], [[5, 7,
10, 2, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = 1, y = u^2-v^2-2, z = (-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-9/4, -9/4]
, [1172343/1048576, 146543/131072]]]], [[5, 7, 10, 2, 5], [And(-1 < v,v < 0),
And(v < u,u < -v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [1, 1], [-9/4, -9/4], [3, 3]]]], [[5, 7,
11, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = u^2-v^2-x-1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-13/4, -\
13/4], [-3, -3]]]], [[5, 7, 11, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v),
1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [0, 0], [2, 2], [-13/4, -13/4], [-146543/131072, -1172343/1048576]]]], [[5,
7, 11, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = u^2-v^2-x-1, 
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2,
-1/2], [0, 0], [2, 2], [-13/4, -13/4], [0, 0]]]], [[5, 7, 11, 2, 4], [And(-1 <
v,v < 0), And(v < u,u < -v), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-13/4, -13/4], [1172343/
1048576, 146543/131072]]]], [[5, 7, 11, 2, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [0, 0], [2, 2], [-13/4, -13/4], [3, 3]]]], [[5, 10, 1, 1, 1], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [-1,
-1], [-3, -3]]]], [[5, 10, 1, 1, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x
< -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-3, -3], [-1, -1], [-2, -2]]]], [[5, 10, 1, 1, 3], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072
], [-3, -3], [-1, -1], [0, 0]]]], [[5, 10, 1, 1, 4], [And(-1 < v,v < 0), u = (
v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [-3, -3], [-1, -1], [2, 2]]]], [[5, 10, 1, 1
, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [-1
, -1], [3, 3]]]], [[6, 2, 4, 2, 1], [v = 0, u = -2^(1/2), x = -1, y = -2, z <
-3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -\
1], [-2, -2], [-3, -3]]]], [[6, 2, 4, 2, 2], [v = 0, u = -2^(1/2), x = -1, y =
-2, z = -3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288]
, [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[6, 2, 4, 2, 3
], [v = 0, u = -2^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[6, 2, 4, 2, 4], [v = 0, u = -2^(1/2), x = -1,
y = -2, z = 3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[6, 2, 4, 2
, 5], [v = 0, u = -2^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [3, 3]]]], [[6, 4,
1, 5, 1], [v = 0, u = -1, x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [2, 2], [-2, -2]]]], [[6, 4, 1, 5,
2], [v = 0, u = -1, x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [2, 2], [-1, -1]]]], [[6, 4, 1, 5,
3], [v = 0, u = -1, x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [2, 2], [0, 0]]]],
[[6, 4, 1, 5, 4], [v = 0, u = -1, x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [2, 2], [1, 1]]]], [[6, 4, 1
, 5, 5], [v = 0, u = -1, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [2, 2], [2, 2]]]], [[6, 8, 2, 1, 1
], [v = 0, u = 1, x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[0, 0], [
1, 1], [-2, -2], [-1, -1], [-3, -3]]]], [[6, 8, 2, 1, 2], [v = 0, u = 1, x = -\
2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [-1, -\
1], [-1816187/1048576, -3632373/2097152]]]], [[6, 8, 2, 1, 3], [v = 0, u = 1,
x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[0, 0]
, [1, 1], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[6, 8, 2, 1, 4], [
v = 0, u = 1, x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[0, 0], [1, 1]
, [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[6, 8, 2, 1, 5], [
v = 0, u = 1, x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[0, 0], [1, 1]
, [-2, -2], [-1, -1], [3, 3]]]], [[6, 10, 1, 2, 1], [v = 0, u = 2^(1/2), x < -\
3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-4, -4], [0, 0], [-3, -3]]]], [[6, 10, 1, 2, 2], [v = 0, u = 2^(1/2
), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[6, 10, 1, 2, 3], [v = 0, u
= 2^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [0, 0], [0, 0]]]], [[6,
10, 1, 2, 4], [v = 0, u = 2^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [0, 0], [2
, 2]]]], [[6, 10, 1, 2, 5], [v = 0, u = 2^(1/2), x < -3, y = 0, (-x)^(1/2) < z
], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [0, 0]
, [3, 3]]]], [[7, 4, 2, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -2,
2 < y, z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576]
, [-2, -2], [3, 3], [0, 0]]]], [[7, 6, 1, 6, 1], [And(0 < v,v < 1), u = -v, x
< -1, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [2,
2], [-1, -1]]]], [[7, 6, 1, 6, 2], [And(0 < v,v < 1), u = -v, x < -1, y = -x,
z = 0], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [2, 2], [0, 0]]]]
, [[7, 6, 1, 6, 3], [And(0 < v,v < 1), u = -v, x < -1, y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [2, 2], [1, 1]]]], [[7, 13
, 10, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = 0, z = z
], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [0, 0], [0, 0]]]], [[8,
2, 5, 5, 1], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8, 2, 5, 5, 2], [v = 1, u = -3^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/
2]]]], [[8, 2, 5, 5, 3], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[8,
2, 5, 5, 4], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [
-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[8, 2, 5, 5, 5], [v = 1, u = -3^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1
, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]
], [[8, 8, 4, 3, 1], [v = 1, u = 0, x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2
)], [regular_chain, [[1, 1], [0, 0], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[8,
8, 4, 3, 2], [v = 1, u = 0, x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -\
642119/524288]]]], [[8, 8, 4, 3, 3], [v = 1, u = 0, x = -1, And(-1 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-1,
-1], [-1/2, -1/2], [0, 0]]]], [[8, 8, 4, 3, 4], [v = 1, u = 0, x = -1, And(-1
< y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1, -1], [-1/2
, -1/2], [642119/524288, 1284239/1048576]]]], [[8, 8, 4, 3, 5], [v = 1, u = 0,
x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0],
[-1, -1], [-1/2, -1/2], [3, 3]]]], [[8, 10, 2, 5, 1], [v = 1, u = 1, x = -1, 1
< y, z = z], [regular_chain, [[1, 1], [1, 1], [-1, -1], [2, 2], [0, 0]]]], [[8
, 14, 3, 5, 1], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [
-2, -2], [1, 1], [-2, -2]]]], [[8, 14, 3, 5, 2], [v = 1, u = 3^(1/2), And(-3 <
x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[8, 14, 3, 5,
3], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [0, 0]]]], [[8, 14, 3, 5, 4], [v = 1, u = 3^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-2, -2], [1, 1], [1, 1]]]], [[8, 14, 3,
5, 5], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [
1, 1], [2, 2]]]], [[8, 15, 11, 4, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, y = -x,
z < 0], [regular_chain, [[1, 1], [3, 3], [8, 8], [-8, -8], [-1, -1]]]], [[8, 
15, 11, 4, 2], [v = 1, 3^(1/2) < u, u^2-2 < x, y = -x, z = 0], [regular_chain,
[[1, 1], [3, 3], [8, 8], [-8, -8], [0, 0]]]], [[8, 15, 11, 4, 3], [v = 1, 3^(1
/2) < u, u^2-2 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [3, 3], [8, 8], [
-8, -8], [1, 1]]]], [[9, 6, 4, 4, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 0,
y = 0, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[9, 6, 4, 4, 2], [
And(1 < v,v < 2^(1/2)), u = -v, x = 0, y = 0, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0
], [0, 0], [0, 0]]]], [[9, 6, 4, 4, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = 0
, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[9, 8, 5, 1, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z
< -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[9, 8,
5, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y <
-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[9, 8, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1
/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[9, 8, 5, 1, 4], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [
[9, 8, 5, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0
), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3, -3], [3, 3]]]
], [[9, 8, 7, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x
< 1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9,
8, 7, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y
= -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 8, 7, 4, 3
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x, 0 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 10, 5, 6, 1], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[9, 10, 5, 6, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[9, 10, 5, 6, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[9, 16, 4, 6, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[1, 1], [-1, -1]]]], [[9, 16, 4, 6, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = -1, y = 1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [1, 1], [0, 0]]]], [[9, 
16, 4, 6, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y = 1, 0 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649
/1048576], [-1, -1], [1, 1], [1, 1]]]], [[10, 1, 1, 5, 1], [v = 2^(1/2), u < -\
2, x < -u^2+1, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [5, 5], [-3, -3]]]], [[
10, 1, 1, 5, 2], [v = 2^(1/2), u < -2, x < -u^2+1, And(-u^2-x+1 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-9, -9], [5, 5], [-2, -2]]]], [[10, 1, 1, 5, 3], [v = 2^(1/2), u < -2, x < -u
^2+1, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [5, 5],
[0, 0]]]], [[10, 1, 1, 5, 4], [v = 2^(1/2), u < -2, x < -u^2+1, And(-u^2-x+1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-9, -9], [5, 5], [2, 2]]]], [[10, 1, 1, 5, 5], [v = 2^(1/2), u <
-2, x < -u^2+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [-9, -9], [5, 5], [3, 3]]]], [[10,
4, 7, 5, 1], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x < y,y < 0),
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576,
-3632373/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 6, 6, 2, 1], [v
= 2^(1/2), u = -v, x = 1, y = -2, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-2, -\
2]]]], [[10, 6, 6, 2, 2], [v = 2^(1/2), u = -v, x = 1, y = -2, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [1, 1], [-2, -2], [-1, -1]]]], [[10, 6, 6, 2, 3], [v = 2^(1/2), u = -
v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [0, 0]]]], [[
10, 6, 6, 2, 4], [v = 2^(1/2), u = -v, x = 1, y = -2, z = 1], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1],
[-2, -2], [1, 1]]]], [[10, 6, 6, 2, 5], [v = 2^(1/2), u = -v, x = 1, y = -2, 1
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [2, 2]]]], [[10, 12, 3, 4, 1], [v = 2^(1/2),
u = 1, And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[10, 12,
3, 4, 2], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [0, 0]
, [-1284239/1048576, -642119/524288]]]], [[10, 12, 3, 4, 3], [v = 2^(1/2), u =
1, And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [0, 0]
, [0, 0]]]], [[10, 12, 3, 4, 4], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y =
0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[10, 12, 3, 4, 5],
[v = 2^(1/2), u = 1, And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [0, 0]
, [3, 3]]]], [[10, 14, 1, 6, 1], [v = 2^(1/2), u = v, x < -1, y = -x, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [-1, -1]]]], [[10, 14, 1, 6, 2], [v = 2^(1/2), u =
v, x < -1, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [0, 0]]]], [[10, 14, 1, 6,
3], [v = 2^(1/2), u = v, x < -1, y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [2, 2],
[1, 1]]]], [[11, 2, 5, 3, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x <
0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[
11, 2, 5, 3, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]
]], [[11, 2, 5, 3, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), 
And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-5/4, -5/4], [0,
0]]]], [[11, 2, 5, 3, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0),
And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837
/8192]]]], [[11, 2, 5, 3, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x <
0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-1738867
/524288, -3477733/1048576], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[11, 4, 2,
4, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y = 2, z < 0], [regular_chain
, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [2, 2], [-1, -1]]]], [
[11, 4, 2, 4, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y = 2, z = 0], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [2, 2], [
0, 0]]]], [[11, 4, 2, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y = 2,
0 < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2],
[2, 2], [1, 1]]]], [[11, 10, 2, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -\
3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[11, 10, 2, 3,
2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/
2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3],
[3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[11, 10, 2, 3, 3], [2^(1/2
) < v, u = -(v^2-2)^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z <
(3-y)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576],
[-3, -3], [3/2, 3/2], [0, 0]]]], [[11, 10, 2, 3, 4], [2^(1/2) < v, u = -(v^2-2
)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [-3, -3], [3/2, 3/2], [642119/524288, 
1284239/1048576]]]], [[11, 10, 2, 3, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
-3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-3, -3], [3/2, 3/2], [3, 3]]]], [[11, 11, 10, 2,
1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y
= 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [8,
8], [-18, -18], [-5, -5]]]], [[11, 11, 10, 2, 2], [2^(1/2) < v, And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[3, 3], [0, 0], [8, 8], [-18, -18], [-3315889/
1048576, -207243/65536]]]], [[11, 11, 10, 2, 3], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)
^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [0, 0], [8, 8],
[-18, -18], [0, 0]]]], [[11, 11, 10, 2, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [0, 0], [8, 8], [-18, -18], [207243/65536, 3315889/
1048576]]]], [[11, 11, 10, 2, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [8, 8], [-18, -18], [5, 5]]]], [[11, 15, 7, 6,
1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y =
0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [0, 0], [-2, -2]]]], [[11, 15, 7
, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [0, 0], [-16263/32768, -520415/
1048576]]]], [[11, 15, 7, 6, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [0, 0], [0, 0]]]], [[11, 15, 7, 6, 4], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [0, 0], [520415/1048576, 16263/32768]]]], [[11, 15, 7, 6, 5]
, [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = 0
, (-x)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [-516571/2097152, -516571/2097152], [0, 0], [2, 2]]]], [[11, 17, 8, 1, 1], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(1
/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-3, -3
], [-3, -3]]]], [[11, 17, 8, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2))
, x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]
]]], [[11, 17, 8, 1, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y
< -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]],
[[11, 17, 8, 1, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^
2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[11, 17, 8, 1
, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^
(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [
-3, -3], [3, 3]]]], [[1, 1, 1, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -
u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [
18, 18], [-1, -1]]]], [[1, 1, 1, 6, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [
18, 18], [0, 0]]]], [[1, 1, 1, 6, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -
u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [
18, 18], [1, 1]]]], [[1, 2, 7, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0
< x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[1, 8, 7, 2,
1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2
)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/
2], [-5/2, -5/2], [-3, -3]]]], [[1, 8, 7, 2, 2], [v < -2^(1/2), u = -(v^2-1)^(
1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [-5/2, -5/2], [-1482911/
1048576, -741455/524288]]]], [[1, 8, 7, 2, 3], [v < -2^(1/2), u = -(v^2-1)^(1/
2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-5/2, -5/2],
[0, 0]]]], [[1, 8, 7, 2, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x <
1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]
]], [[1, 8, 7, 2, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y =
-x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[1, 10, 4, 5, 1], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1/2
, 1/2], [-2, -2]]]], [[1, 10, 4, 5, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x =
-1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[1, 10, 4, 5, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And
(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -\
3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1
, 10, 4, 5, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 1), z
= (1-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576
], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[1, 10, 4, 5, 5],
[v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1/
2, 1/2], [2, 2]]]], [[1, 13, 10, 9, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [1, 1], [1, 1], [0, 0]]]], [[1, 15, 9, 8, 1], [v < -2
^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [0,
0], [0, 0]]]], [[1, 21, 7, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,
x < 1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2]
, [16, 16], [0, 0]]]], [[2, 2, 2, 6, 1], [v = -2^(1/2), u = -2, x = -3, y = 4,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-3, -3
], [4, 4], [0, 0]]]], [[2, 9, 10, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), x =
1, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2,
-1/2], [1, 1], [-1, -1], [-1, -1]]]], [[2, 9, 10, 4, 2], [v = -2^(1/2), And(-1
< u,u < 0), x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]]]], [[2, 9, 10, 4, 3], [v = -
2^(1/2), And(-1 < u,u < 0), x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [1, 1], [-1, -1], [1, 1]]]], [[2, 11,
7, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(u^2-x-3
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [-3, -3]]]], [[2, 11, 7, 3, 2],
[v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1
/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [-1229565/1048576, -307391/262144]]]], [[2
, 11, 7, 3, 3], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(u^
2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [0,
0]]]], [[2, 11, 7, 3, 4], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+
1), And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [307391/262144
, 1229565/1048576]]]], [[2, 11, 7, 3, 5], [v = -2^(1/2), And(0 < u,u < 1), And
(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [
3, 3]]]], [[2, 17, 7, 4, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,
x < u^2-3), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288
], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-\
126367/524288, -252733/1048576], [-1, -1]]]], [[2, 17, 7, 4, 2], [v = -2^(1/2)
, And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -x, z = 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [
505467/2097152, 505467/2097152], [-126367/524288, -252733/1048576], [0, 0]]]],
[[2, 17, 7, 4, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3)
, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-126367/
524288, -252733/1048576], [1, 1]]]], [[2, 19, 4, 3, 1], [v = -2^(1/2), 2 < u,
x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-1, -1], [-7/2, -7/2], [-4, -4]]]], [[2, 19
, 4, 3, 2], [v = -2^(1/2), 2 < u, x = -1, And(-u^2+2 < y,y < 0), z = -(1-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [
-7/2, -7/2], [-1112183/524288, -2224365/1048576]]]], [[2, 19, 4, 3, 3], [v = -
2^(1/2), 2 < u, x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1]
, [-7/2, -7/2], [0, 0]]]], [[2, 19, 4, 3, 4], [v = -2^(1/2), 2 < u, x = -1, 
And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-1, -1], [-7/2, -7/2], [2224365/1048576, 1112183/
524288]]]], [[2, 19, 4, 3, 5], [v = -2^(1/2), 2 < u, x = -1, And(-u^2+2 < y,y
< 0), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3, 3], [-1, -1], [-7/2, -7/2], [4, 4]]]], [[3, 3, 8, 5, 1], [And(-2^(1/2) < v,
v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-u^2+v
^2+1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
501965/2097152, -501965/2097152], [0, 0]]]], [[3, 5, 7, 4, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^
2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-139585/524288, -279169/1048576], [-2, -2]]]], [[3, 5, 7, 4, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-139585/524288, -279169/1048576], [-1530309/
2097152, -382577/524288]]]], [[3, 5, 7, 4, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u
^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-139585/524288, -279169/1048576], [0, 0]]]], [[3,
5, 7, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [-139585/524288, -279169/1048576], [382577/
524288, 765155/1048576]]]], [[3, 5, 7, 4, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2
+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-\
139585/524288, -279169/1048576], [2, 2]]]], [[3, 11, 7, 5, 1], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+
v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-225185/2097152, -225185/2097152], [-2, -2]]]], [[3, 11, 7, 5, 2],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371
/2097152, -450371/2097152], [-225185/2097152, -225185/2097152], [-1190271/
2097152, -595135/1048576]]]], [[3, 11, 7, 5, 3], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y
,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [-225185/2097152, -225185/2097152], [0, 0]]]], [[3, 11, 7,
5, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-\
1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
450371/2097152, -450371/2097152], [-225185/2097152, -225185/2097152], [595135/
1048576, 9299/16384]]]], [[3, 11, 7, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^
2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0)
, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-225185/
2097152, -225185/2097152], [2, 2]]]], [[3, 13, 7, 9, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), -x < y, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [2, 2], [0, 0]]]], [[3, 13
, 9, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 <
x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1/4, -1/4]
, [0, 0]]]], [[3, 15, 8, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [-250983/524288, -501965/1048576], [-1, -1]]]], [[3,
15, 8, 4, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-250983/524288, -501965/1048576], [0, 0]]]], [[3, 15, 8, 4, 3], [And
(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1
, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-250983/
524288, -501965/1048576], [1, 1]]]], [[4, 3, 9, 9, 1], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), And(u^2-2 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1, -1
], [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [
1, 1], [0, 0]]]], [[4, 5, 8, 6, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 0,
y = 0, z < 0], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [0, 0], [0, 0], [-1, -1]]]], [[4, 5, 8, 6, 2], [v = -1, And(-2^(1/2) < u,u <
-1), x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[4, 5, 8, 6, 3], [v = -1, And(-2
^(1/2) < u,u < -1), x = 0, y = 0, 0 < z], [regular_chain, [[-1, -1], [-1265743
/1048576, -1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[4, 9, 9, 8, 1], [v =
-1, And(0 < u,u < 1), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1, -\
1], [1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[4, 11, 10, 3, 1], [v = -1, 
And(1 < u,u < 2^(1/2)), x = 1, And(-u^2-1 < y,y < u^2-3), z < -(-y-1)^(1/2)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
8388607/4194304, -8388607/4194304], [-2, -2]]]], [[4, 11, 10, 3, 2], [v = -1,
And(1 < u,u < 2^(1/2)), x = 1, And(-u^2-1 < y,y < u^2-3), z = -(-y-1)^(1/2)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
8388607/4194304, -8388607/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[4, 11, 10, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 1,
And(-u^2-1 < y,y < u^2-3), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
8388607/4194304, -8388607/4194304], [-3670015/8796093022208, -3670015/
8796093022208]]]], [[4, 11, 10, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 1,
And(-u^2-1 < y,y < u^2-3), z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [1, 1], [-8388607/4194304, -8388607/4194304
], [1048575/1048576, 1]]]], [[4, 11, 10, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)
), x = 1, And(-u^2-1 < y,y < u^2-3), (-y-1)^(1/2) < z], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [1, 1], [-8388607/4194304, -8388607/
4194304], [2, 2]]]], [[5, 2, 2, 4, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
x = -3, y = 3, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3],
[3, 3], [-1, -1]]]], [[5, 2, 2, 4, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
x = -3, y = 3, z = 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3],
[3, 3], [0, 0]]]], [[5, 2, 2, 4, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x
= -3, y = 3, 0 < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [3
, 3], [1, 1]]]], [[5, 3, 10, 5, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x = 1, And(-1 < y,y < u^2-v^2-2), z = z], [regular_chain
, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [-805555/1048576, -\
805555/1048576], [0, 0]]]], [[5, 11, 10, 8, 1], [And(-1 < v,v < 0), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [1, 1], [0, 0], [0, 0]]]], [[5, 13, 7,
7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [29/8
, 29/8], [0, 0]]]], [[6, 5, 11, 1, 1], [v = 0, And(-1 < u,u < 0), 1 < x, y < -
u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-\
5, -5], [-3, -3]]]], [[6, 5, 11, 1, 2], [v = 0, And(-1 < u,u < 0), 1 < x, y <
-u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [
-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[6, 5, 11, 1, 3], [v = 0, 
And(-1 < u,u < 0), 1 < x, y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[6, 5, 11, 1, 4], [v = 0, And(-1 < u,u < 0), 1 < x, y < -u^2-x-1
, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[6, 5, 11, 1, 5], [v = 0, And(-1 < u,u <
0), 1 < x, y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1
/2], [2, 2], [-5, -5], [3, 3]]]], [[6, 7, 11, 5, 1], [v = 0, And(0 < u,u < 1),
1 < x, And(u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1/2, 1/2], [2, 2], [-19/8, -19/8], [-2, -2]]]], [[6, 7, 11, 5, 2], [v = 0, And
(0 < u,u < 1), 1 < x, And(u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-19/8, -19/8], [-1284239/2097152,
-642119/1048576]]]], [[6, 7, 11, 5, 3], [v = 0, And(0 < u,u < 1), 1 < x, And(u
^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[0, 0], [1/2, 1/2], [2, 2], [-19/8, -19/8], [0, 0]]]], [[6, 7, 11, 5, 4], [v
= 0, And(0 < u,u < 1), 1 < x, And(u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-19/8, -19/8], [642119/1048576, 
80265/131072]]]], [[6, 7, 11, 5, 5], [v = 0, And(0 < u,u < 1), 1 < x, And(u^2-
x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2
], [-19/8, -19/8], [2, 2]]]], [[6, 11, 8, 9, 1], [v = 0, 2^(1/2) < u, x = 1, u
^2-2 < y, z = z], [regular_chain, [[0, 0], [3, 3], [1, 1], [8, 8], [0, 0]]]],
[[7, 2, 3, 8, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y
= 1-x, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [3, 3], [0
, 0]]]], [[7, 8, 1, 7, 1], [And(0 < v,v < 1), u = v, x < -1, -x < y, z = z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [3, 3], [0, 0]]]], [[7, 10,
2, 4, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, y = 2, z < 0], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2], [2, 2]
, [-1, -1]]]], [[7, 10, 2, 4, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2
, y = 2, z = 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072]
, [-2, -2], [2, 2], [0, 0]]]], [[7, 10, 2, 4, 3], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[1/2, 1/2], [1172343/1048576
, 146543/131072], [-2, -2], [2, 2], [1, 1]]]], [[7, 10, 4, 4, 1], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-1, -1], [0, 0], [-2, -2]]]], [[7, 10, 4, 4
, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [0, 0]
, [-1, -1]]]], [[7, 10, 4, 4, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1
, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [-1, -1], [0, 0], [0, 0]]]], [[7, 10, 4, 4, 4], [And(0 < v,v <
1), u = (v^2+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1, -1], [0, 0], [1, 1]]]], [[7, 10, 4, 4, 5
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, y = 0, 1 < z], [regular_chain
, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [0, 0], [2, 2]]]],
[[7, 12, 3, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y
< -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2],
[-2, -2], [-3, -3]]]], [[7, 12, 3, 1, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2)
, And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [3/2, 3/2], [-2, -2], [-2, -2], [-2, -2]]]], [[7, 12, 3, 1, 3], [And(0 < v,
v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-2, -\
2], [0, 0]]]], [[7, 12, 3, 1, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3
< x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3
/2], [-2, -2], [-2, -2], [2, 2]]]], [[7, 12, 3, 1, 5], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain
, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-2, -2], [3, 3]]]], [[8, 4, 5, 1, 1], [v
= 1, u = -2^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3,
-3], [-3, -3]]]], [[8, 4, 5, 1, 2], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y
< -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]],
[[8, 4, 5, 1, 3], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[8, 4, 5, 1, 4], [v = 1, u
= -2^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[
1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[8, 4, 5, 1, 5], [v = 1, u = -2^(1/2), And(-1 <
x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[8, 6, 4, 2, 1],
[v = 1, u = -1, x = 0, y = -1, z < -1], [regular_chain, [[1, 1], [-1, -1], [0,
0], [-1, -1], [-2, -2]]]], [[8, 6, 4, 2, 2], [v = 1, u = -1, x = 0, y = -1, z
= -1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-1, -1], [-1, -1]]]], [[8,
6, 4, 2, 3], [v = 1, u = -1, x = 0, y = -1, And(-1 < z,z < 1)], [regular_chain
, [[1, 1], [-1, -1], [0, 0], [-1, -1], [0, 0]]]], [[8, 6, 4, 2, 4], [v = 1, u
= -1, x = 0, y = -1, z = 1], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-1, -\
1], [1, 1]]]], [[8, 6, 4, 2, 5], [v = 1, u = -1, x = 0, y = -1, 1 < z], [
regular_chain, [[1, 1], [-1, -1], [0, 0], [-1, -1], [2, 2]]]], [[8, 10, 4, 5,
1], [v = 1, u = 1, x = 0, 0 < y, z = z], [regular_chain, [[1, 1], [1, 1], [0,
0], [1, 1], [0, 0]]]], [[8, 12, 5, 6, 1], [v = 1, u = 2^(1/2), And(-1 < x,x <
0), y = -x, z < 0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576],
[-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 12, 5, 6, 2], [v = 1, u = 2^(1/2),
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 12, 5, 6, 3], [v =
1, u = 2^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[9, 2,
7, 8, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = 1
-x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[9, 4, 6, 3, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z <
-(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [0, 0], [-1, -1], [-2, -2]]]], [[9, 4, 6, 3, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144
, -3287319/2097152], [0, 0], [-1, -1], [-1, -1]]]], [[9, 4, 6, 3, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [0, 0], [-1, -1], [0, 0]]]], [[9, 4, 6, 3, 4
], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z =
(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [0, 0], [-1, -1], [1, 1]]]], [[9, 4, 6, 3, 5], [And
(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [-1, -1], [2, 2]]]], [[9, 12, 3, 7, 1], [And(1 < v,v
< 2^(1/2)), u = v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2,
-1/2], [2, 2], [0, 0]]]], [[9, 14, 5, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2
+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1
/2], [-3, -3], [-3, -3]]]], [[9, 14, 5, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v
^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2,
-1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[9, 14, 5, 1, 3], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3, -3], [0, 0]]]]
, [[9, 14, 5, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x
< 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[9, 14, 5, 1, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1/2,
-1/2], [-3, -3], [3, 3]]]], [[10, 2, 7, 3, 1], [v = 2^(1/2), u = -2, And(0 < x
,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[10, 2
, 7, 3, 2], [v = 2^(1/2), u = -2, And(0 < x,x < 1), And(-x-3 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [
1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[10, 2, 7, 3, 3],
[v = 2^(1/2), u = -2, And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
-2, -2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[10, 2, 7, 3, 4], [v = 2^(1/2), u =
-2, And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-2, -2], [642119/
524288, 1284239/1048576]]]], [[10, 2, 7, 3, 5], [v = 2^(1/2), u = -2, And(0 <
x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-2, -2], [3, 3]]]], [[10, 4,
5, 5, 1], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187
/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[10, 4, 5
, 5, 2], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 4
, 5, 5, 3], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/
4], [0, 0]]]], [[10, 4, 5, 5, 4], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0
), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/
4], [1/2, 1/2]]]], [[10, 4, 5, 5, 5], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/
4], [2, 2]]]], [[10, 8, 6, 1, 1], [v = 2^(1/2), u = -1, x = 0, y < -2, z < -(-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0]
, [-3, -3], [-3, -3]]]], [[10, 8, 6, 1, 2], [v = 2^(1/2), u = -1, x = 0, y < -\
2, z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -\
1], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 8, 6, 1,
3], [v = 2^(1/2), u = -1, x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-3, -3],
[-1/4194304, -1/4194304]]]], [[10, 8, 6, 1, 4], [v = 2^(1/2), u = -1, x = 0, y
< -2, z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[10, 8, 6, 1, 5],
[v = 2^(1/2), u = -1, x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-1, -1], [0, 0], [-3, -3], [3, 3]]]], [[10, 10, 4,
3, 1], [v = 2^(1/2), u = 0, x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-1, -1],
[-3, -3]]]], [[10, 10, 4, 3, 2], [v = 2^(1/2), u = 0, x = -1, And(-2 < y,y < 0
), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[10, 10, 4, 3,
3], [v = 2^(1/2), u = 0, x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1,
-1], [-1, -1], [0, 0]]]], [[10, 10, 4, 3, 4], [v = 2^(1/2), u = 0, x = -1, And
(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[
10, 10, 4, 3, 5], [v = 2^(1/2), u = 0, x = -1, And(-2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-1
, -1], [3, 3]]]], [[10, 16, 2, 2, 1], [v = 2^(1/2), u = 3^(1/2), x = -2, y = 0
, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[10, 16, 2, 2, 2], [
v = 2^(1/2), u = 3^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-2, -2], [
0, 0], [-1482911/1048576, -741455/524288]]]], [[10, 16, 2, 2, 3], [v = 2^(1/2)
, u = 3^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-2, -2],
[0, 0], [0, 0]]]], [[10, 16, 2, 2, 4], [v = 2^(1/2), u = 3^(1/2), x = -2, y =
0, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]
], [[10, 16, 2, 2, 5], [v = 2^(1/2), u = 3^(1/2), x = -2, y = 0, 2^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-2, -2], [0, 0], [3, 3]]]], [[10, 18, 1, 3, 1], [v = 2^(1/2), u = 2
, x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[10, 18,
1, 3, 2], [v = 2^(1/2), u = 2, x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1/2, 1
/2], [-7846825/4194304, -980853/524288]]]], [[10, 18, 1, 3, 3], [v = 2^(1/2),
u = 2, x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1/2, 1/2
], [0, 0]]]], [[10, 18, 1, 3, 4], [v = 2^(1/2), u = 2, x < -3, And(0 < y,y < -
x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2
, 2], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[10, 18, 1,
3, 5], [v = 2^(1/2), u = 2, x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [1/2, 1/2]
, [3, 3]]]], [[10, 18, 2, 4, 1], [v = 2^(1/2), u = 2, x = -3, y = 3, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [3, 3], [-\
1, -1]]]], [[10, 18, 2, 4, 2], [v = 2^(1/2), u = 2, x = -3, y = 3, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [3, 3], [0
, 0]]]], [[10, 18, 2, 4, 3], [v = 2^(1/2), u = 2, x = -3, y = 3, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [3, 3], [1
, 1]]]], [[10, 19, 10, 7, 1], [v = 2^(1/2), 2 < u, x = u^2-3, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [6, 6], [1, 1], [0,
0]]]], [[11, 6, 3, 3, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(-1-x <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2],
[-1/4, -1/4], [-2, -2]]]], [[11, 6, 3, 3, 2], [2^(1/2) < v, u = -v, And(-1 < x
,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3
, -3], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]], [[
11, 6, 3, 3, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [
-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[11, 6, 3, 3, 4], [2^
(1/2) < v, u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576
, 454047/524288]]]], [[11, 6, 3, 3, 5], [2^(1/2) < v, u = -v, And(-1 < x,x < 0
), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3],
[-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[11, 8, 4, 4, 1], [2^(1/2) < v, u = -(
v^2-1)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [0, 0], [-2, -2]]]], [[11, 8, 4, 4, 2],
[2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [-1, -1], [0, 0], [-1, -1]]]], [[11
, 8, 4, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, y = 0, And(-1 < z,z <
1)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1],
[0, 0], [0, 0]]]], [[11, 8, 4, 4, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1
, y = 0, z = 1], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304
], [-1, -1], [0, 0], [1, 1]]]], [[11, 8, 4, 4, 5], [2^(1/2) < v, u = -(v^2-1)^
(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [0, 0], [2, 2]]]], [[11, 11, 11, 7, 1], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(-u^2+v^2-x
-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [0, 0], [9, 9], [-1/2, -1/2],
[0, 0]]]], [[11, 13, 9, 3, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [-8423601/4194304, -8423601/4194304], [-3, -3]]]],
[[11, 13, 9, 3, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 
1581613/2097152], [-8423601/4194304, -8423601/4194304], [-587149/524288, -\
1174297/1048576]]]], [[11, 13, 9, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/524288
, 1435023/524288], [1581613/2097152, 1581613/2097152], [-8423601/4194304, -\
8423601/4194304], [0, 0]]]], [[11, 13, 9, 3, 4], [2^(1/2) < v, And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [1581613/2097152, 1581613/2097152], [-8423601/4194304, -8423601/
4194304], [1174297/1048576, 587149/524288]]]], [[11, 13, 9, 3, 5], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^
2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-8423601/4194304
, -8423601/4194304], [3, 3]]]], [[11, 19, 8, 5, 1], [2^(1/2) < v, And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z]
, [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [-129511/524288, -129511/524288], [0, 0]]]], [[11, 21, 5, 8,
1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z
], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [31/2, 31/2], [0, 0]]]], [[1
, 4, 5, 3, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576,
-207243/65536], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[1, 4, 5, 3, 2], [v
< -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-\
1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[1, 4, 5, 3,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889
/1048576, -207243/65536], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[1, 4, 5, 3,
4], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536
], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[1, 4, 5,
3, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[1, 6, 3, 7, 1], [v < -2^(1/2)
, u = v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-3, -3], [-3, -3
], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1, 12, 1, 4, 1], [v < -2^(1/2), u = (v^2
-2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-3, -3]]]], [[1, 12, 1, 4, 2]
, [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-\
1816187/1048576, -3632373/2097152]]]], [[1, 12, 1, 4, 3], [v < -2^(1/2), u = (
v^2-2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain
, [[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-1/4194304, -1/
4194304]]]], [[1, 12, 1, 4, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, y =
-x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096],
[-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[1, 12, 1, 4, 5], [v <
-2^(1/2), u = (v^2-2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [
[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [3, 3]]]], [[1, 13,
9, 5, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^
2-1 < x,x < 1), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-\
2097155/4194304, -2097155/4194304], [0, 0]]]], [[1, 17, 10, 3, 1], [v < -2^(1/
2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z
< -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
1, 1], [-2, -2], [-2, -2]]]], [[1, 17, 10, 3, 2], [v < -2^(1/2), And(-v < u,u
< (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z = -(-y-1)^(1/2)]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-2, -2],
[-1, -1]]]], [[1, 17, 10, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/
2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-2,
-2], [0, 0]]]], [[1, 17, 10, 3, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2
)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z = (-y-1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-2, -2], [1
, 1]]]], [[1, 17, 10, 3, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [1, 1], [-2, -2], [2, 2]]]], [[1, 19, 9,
2, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1
< x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
3398507/1048576, -1699253/524288], [-3, -3]]]], [[1, 19, 9, 2, 2], [v < -2^(1/
2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u
^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-3398507/
1048576, -1699253/524288], [-1655969/1048576, -3311937/2097152]]]], [[1, 19, 9
, 2, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-\
1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [-1/4194304, -\
1/4194304]]]], [[1, 19, 9, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [51749/32768,
1655969/1048576]]]], [[1, 19, 9, 2, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [3, 3]
]]], [[2, 3, 10, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(u^
2-4 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3913339/2097152, -3913339/2097152], [1, 1], [-1086217/4194304, -1086217/
4194304], [0, 0]]]], [[2, 5, 9, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-1/2, -1/2], [-1,
-1]]]], [[2, 5, 9, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x
< 1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[2,
5, 9, 6, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = -x,
0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[2, 5, 11, 1, 1], [
v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y < -u^2-x+1, z < -(-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-5, -5], [-3, -3]]]], [[2, 5, 11, 1, 2], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), 1 < x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [
[2, 5, 11, 1, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y < -u^2-x+1,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-5, -5], [-1/
4194304, -1/4194304]]]], [[2, 5, 11, 1, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), 1 < x, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-5, -\
5], [908093/524288, 1816187/1048576]]]], [[2, 5, 11, 1, 5], [v = -2^(1/2), And
(-3^(1/2) < u,u < v), 1 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2,
2], [-5, -5], [3, 3]]]], [[2, 7, 11, 5, 1], [v = -2^(1/2), And(v < u,u < -1),
1 < x, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2]
, [-2336807/1048576, -2336807/1048576], [-2, -2]]]], [[2, 7, 11, 5, 2], [v = -
2^(1/2), And(v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576], [-501295/
1048576, -250647/524288]]]], [[2, 7, 11, 5, 3], [v = -2^(1/2), And(v < u,u < -\
1), 1 < x, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576], [0, 0]]]], [[2
, 7, 11, 5, 4], [v = -2^(1/2), And(v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [2, 2], [-2336807/1048576, -2336807/
1048576], [250647/524288, 501295/1048576]]]], [[2, 7, 11, 5, 5], [v = -2^(1/2)
, And(v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576], [2, 2]]]], [[2
, 13, 8, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y < u^2-3, z < -(-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576,
1265743/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[2, 13, 8, 1, 2], [v = -2^(1
/2), And(1 < u,u < -v), x = 0, y < u^2-3, z = -(-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0],
[-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[2, 13, 8, 1, 3], [v = -2^
(1/2), And(1 < u,u < -v), x = 0, y < u^2-3, And(-(-y)^(1/2) < z,z < (-y)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[2, 13, 8, 1
, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y < u^2-3, z = (-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[2, 13, 8, 1
, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y < u^2-3, (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [0, 0], [-3, -3], [3, 3]]]], [[2, 15, 8, 5, 1], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = 0, And(u^2-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [0, 0], [-275385/1048576, -275385/1048576], [-2, -2]]]], [[2, 15, 8,
5, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, And(u^2-3 < y,y < 0), z
= -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [0, 0], [-275385/1048576, -275385/1048576], [-\
268683/524288, -1074731/2097152]]]], [[2, 15, 8, 5, 3], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x = 0, And(u^2-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [0, 0], [-275385/1048576, -275385/1048576], [-1/4194304, -1/
4194304]]]], [[2, 15, 8, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0,
And(u^2-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [0, 0], [-275385/1048576,
-275385/1048576], [537365/1048576, 268683/524288]]]], [[2, 15, 8, 5, 5], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, And(u^2-3 < y,y < 0), (-y)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [0, 0], [-275385/1048576, -275385/1048576], [2, 2]]]], [[2,
19, 5, 7, 1], [v = -2^(1/2), 2 < u, And(-1 < x,x < 0), And(-x < y,y < u^2-x-3)
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1/2,
-1/2], [7/2, 7/2], [0, 0]]]], [[3, 1, 11, 6, 1], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-1527887/1048576, -\
763943/524288], [0, 0]]]], [[3, 7, 9, 9, 1], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [1, 1], [0, 0]]]], [[3, 9, 8, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/524288,
479311/1048576], [0, 0], [0, 0]]]], [[3, 17, 5, 3, 1], [And(-2^(1/2) < v,v < -\
1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
1/2, -1/2], [-8433585/2097152, -8433585/2097152], [-4, -4]]]], [[3, 17, 5, 3,
2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+
v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152],
[-557415/262144, -2229659/1048576]]]], [[3, 17, 5, 3, 3], [And(-2^(1/2) < v,v
< -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152],
[0, 0]]]], [[3, 17, 5, 3, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, 
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-\
8433585/2097152, -8433585/2097152], [2229659/1048576, 557415/262144]]]], [[3,
17, 5, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-8433585/2097152, -8433585/
2097152], [4, 4]]]], [[4, 1, 11, 2, 1], [v = -1, u < -3^(1/2), u^2-2 < x, y =
-u^2-x, z < u], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-17, -17], [-4,
-4]]]], [[4, 1, 11, 2, 2], [v = -1, u < -3^(1/2), u^2-2 < x, y = -u^2-x, z = u
], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-17, -17], [-3, -3]]]], [[4,
1, 11, 2, 3], [v = -1, u < -3^(1/2), u^2-2 < x, y = -u^2-x, And(u < z,z < -u)]
, [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-17, -17], [0, 0]]]], [[4, 1,
11, 2, 4], [v = -1, u < -3^(1/2), u^2-2 < x, y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-3, -3], [8, 8], [-17, -17], [3, 3]]]], [[4, 1, 11,
2, 5], [v = -1, u < -3^(1/2), u^2-2 < x, y = -u^2-x, -u < z], [regular_chain,
[[-1, -1], [-3, -3], [8, 8], [-17, -17], [4, 4]]]], [[4, 7, 9, 3, 1], [v = -1,
And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [-2
, -2]]]], [[4, 7, 9, 3, 2], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), And(
u^2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2,
-1/2], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[4, 7, 9, 3, 3], [v = -1, And(-\
1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [
-3/2, -3/2], [0, 0]]]], [[4, 7, 9, 3, 4], [v = -1, And(-1 < u,u < 0), And(0 <
x,x < 1), And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1
, -1], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[4, 7, 9, 3, 5], [v
= -1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), (-x-y)
^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2]
, [2, 2]]]], [[4, 9, 7, 9, 1], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0),
-x < y, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [2, 2], [
0, 0]]]], [[4, 13, 9, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2
< x,x < 1), y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [773191/1048576, 773191/1048576], [-3368149/1048576, -842037
/262144], [-3, -3]]]], [[4, 13, 9, 2, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), And(u^2-2 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-3368149
/1048576, -842037/262144], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 9
, 2, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = -u^2
-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [773191/1048576, 773191/1048576], [-3368149/1048576, -842037/262144]
, [-1/4194304, -1/4194304]]]], [[4, 13, 9, 2, 4], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-\
3368149/1048576, -842037/262144], [412387/262144, 1649549/1048576]]]], [[4, 13
, 9, 2, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = -
u^2-x, u < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[773191/1048576, 773191/1048576], [-3368149/1048576, -842037/262144], [3, 3]]]
], [[4, 15, 5, 8, 1], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y = u^2-x-2, z
= z], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [15/2, 15/2], [0, 0]]]]
, [[5, 5, 9, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 <
x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1148707/1048576, -\
574353/524288], [-2, -2]]]], [[5, 5, 9, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2,
1/2], [-1148707/1048576, -574353/524288], [-1618333/2097152, -3236665/4194304]
]]], [[5, 5, 9, 4, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(
0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1
/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1
/2, 1/2], [-1148707/1048576, -574353/524288], [-1/8388608, -1/8388608]]]], [[5
, 5, 9, 4, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x
< 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/
524288], [404583/524288, 809167/1048576]]]], [[5, 5, 9, 4, 5], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [2, 2]]]], [[5, 7, 9
, 8, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y = 0, z = z
], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [0, 0], [0, 0]]]], [[5,
7, 11, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(-u^2+v^2-x-1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2],
[-19/8, -19/8], [-2, -2]]]], [[5, 7, 11, 5, 2], [And(-1 < v,v < 0), And(v < u,
u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-19/8, -19/8], [-1284239/
2097152, -642119/1048576]]]], [[5, 7, 11, 5, 3], [And(-1 < v,v < 0), And(v < u
,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-19/8, -19/8], [0,
0]]]], [[5, 7, 11, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(-u
^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0,
0], [2, 2], [-19/8, -19/8], [642119/1048576, 80265/131072]]]], [[5, 7, 11, 5,
5], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-19/8, -\
19/8], [2, 2]]]], [[5, 9, 11, 9, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1
)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [1, 1], [0, 0]]]], [[6, 2, 4, 3, 1], [v = 0
, u = -2^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-3, -3]]]],
[[6, 2, 4, 3, 2], [v = 0, u = -2^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^
(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1],
[-1, -1], [-1482911/1048576, -741455/524288]]]], [[6, 2, 4, 3, 3], [v = 0, u =
-2^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1]
, [0, 0]]]], [[6, 2, 4, 3, 4], [v = 0, u = -2^(1/2), x = -1, And(-2 < y,y < 0)
, z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288
], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[6, 2, 4, 3, 5],
[v = 0, u = -2^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1]
, [3, 3]]]], [[6, 4, 1, 2, 1], [v = 0, u = -1, x < -2, y = 0, z < -(-x)^(1/2)]
, [regular_chain, [[0, 0], [-1, -1], [-3, -3], [0, 0], [-3, -3]]]], [[6, 4, 1,
2, 2], [v = 0, u = -1, x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0
], [-1, -1], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[6, 4
, 1, 2, 3], [v = 0, u = -1, x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))
], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[6, 4, 1, 2, 4], [v = 0, u = -1, x < -2, y = 0, z = (-x)^(1/2)],
[regular_chain, [[0, 0], [-1, -1], [-3, -3], [0, 0], [908093/524288, 1816187/
1048576]]]], [[6, 4, 1, 2, 5], [v = 0, u = -1, x < -2, y = 0, (-x)^(1/2) < z],
[regular_chain, [[0, 0], [-1, -1], [-3, -3], [0, 0], [3, 3]]]], [[6, 8, 2, 4,
1], [v = 0, u = 1, x = -2, y = 2, z < 0], [regular_chain, [[0, 0], [1, 1], [-2
, -2], [2, 2], [-1, -1]]]], [[6, 8, 2, 4, 2], [v = 0, u = 1, x = -2, y = 2, z
= 0], [regular_chain, [[0, 0], [1, 1], [-2, -2], [2, 2], [0, 0]]]], [[6, 8, 2,
4, 3], [v = 0, u = 1, x = -2, y = 2, 0 < z], [regular_chain, [[0, 0], [1, 1],
[-2, -2], [2, 2], [1, 1]]]], [[6, 10, 1, 1, 1], [v = 0, u = 2^(1/2), x < -3, y
< 0, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[6, 10, 1, 1, 2], [v = 0, u = 2^(1
/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576
]]]], [[6, 10, 1, 1, 3], [v = 0, u = 2^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-4, -4], [-1, -1], [0, 0]]]], [[6, 10, 1, 1, 4], [v = 0, u = 2^(1/2
), x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[6,
10, 1, 1, 5], [v = 0, u = 2^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [-1, -1],
[4, 4]]]], [[7, 4, 3, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x
,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[7, 4, 3, 1,
2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576]
, [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[7, 4, 3, 1,
3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[7, 4, 3, 1, 4]
, [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [
-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[7, 4, 3, 1, 5],
[And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3
/2, -3/2], [-2, -2], [3, 3]]]], [[7, 6, 1, 3, 1], [And(0 < v,v < 1), u = -v, x
< -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1/2, -1/2], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[7, 6, 1, 3, 2], [And(0 < v,v
< 1), u = -v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/
524288]]]], [[7, 6, 1, 3, 3], [And(0 < v,v < 1), u = -v, x < -1, And(0 < y,y <
-1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [-2, -2], [1/2, 1/2], [0, 0]]]], [[7, 6, 1, 3, 4], [And(0 < v,v
< 1), u = -v, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1/2, 1/2], [642119/524288, 1284239/
1048576]]]], [[7, 6, 1, 3, 5], [And(0 < v,v < 1), u = -v, x < -1, And(0 < y,y
< -1-x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2
], [1/2, 1/2], [3, 3]]]], [[7, 13, 10, 3, 1], [And(0 < v,v < 1), (v^2+2)^(1/2)
< u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-101/8, -101/8], [
-4, -4]]]], [[7, 13, 10, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-
v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-101/8, -101/8], [-1157597/
524288, -2315193/1048576]]]], [[7, 13, 10, 3, 3], [And(0 < v,v < 1), (v^2+2)^(
1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-
y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3]
, [31/4, 31/4], [-101/8, -101/8], [0, 0]]]], [[7, 13, 10, 3, 4], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1),
z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4],
[-101/8, -101/8], [2315193/1048576, 1157597/524288]]]], [[7, 13, 10, 3, 5], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -
u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [
31/4, 31/4], [-101/8, -101/8], [4, 4]]]], [[8, 2, 5, 6, 1], [v = 1, u = -3^(1/
2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 2, 5,
6, 2], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain
, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/2, 1/2], [0,
0]]]], [[8, 2, 5, 6, 3], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y = -x, 0 <
z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2
], [1/2, 1/2], [1, 1]]]], [[8, 8, 4, 2, 1], [v = 1, u = 0, x = -1, y = -1, z <
-2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1, -1], [-1, -1], [-3, -3]]]], [
[8, 8, 4, 2, 2], [v = 1, u = 0, x = -1, y = -1, z = -2^(1/2)], [regular_chain,
[[1, 1], [0, 0], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[
8, 8, 4, 2, 3], [v = 1, u = 0, x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[1, 1], [0, 0], [-1, -1], [-1, -1], [0, 0]]]], [[8, 8, 4, 2,
4], [v = 1, u = 0, x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[1, 1], [0,
0], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[8, 8, 4, 2, 5],
[v = 1, u = 0, x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[1, 1], [0, 0],
[-1, -1], [-1, -1], [3, 3]]]], [[8, 10, 3, 3, 1], [v = 1, u = 1, And(-1 < x,x
< 0), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1]
, [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[8, 10, 3, 3, 2], [v = 1, u = 1, 
And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[
1, 1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304
]]]], [[8, 10, 3, 3, 3], [v = 1, u = 1, And(-1 < x,x < 0), And(-1-x < y,y < 0)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1, 1], [
-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[8, 10, 3, 3, 4], [v
= 1, u = 1, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576, 
454047/524288]]]], [[8, 10, 3, 3, 5], [v = 1, u = 1, And(-1 < x,x < 0), And(-1
-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2
], [-1/4, -1/4], [2, 2]]]], [[8, 14, 3, 2, 1], [v = 1, u = 3^(1/2), And(-3 < x
,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[8, 14, 3, 2, 2], [v = 1,
u = 3^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 14, 3, 2, 3], [v = 1, u = 3^(1/2), And(-3 < x,x < -1
), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[8
, 14, 3, 2, 4], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)
], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [-1, -\
1], [908093/524288, 1816187/1048576]]]], [[8, 14, 3, 2, 5], [v = 1, u = 3^(1/2
), And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[8, 15, 11, 5
, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, And(-x < y,y < u^2-x-2), z = z], [
regular_chain, [[1, 1], [3, 3], [8, 8], [-9/2, -9/2], [0, 0]]]], [[9, 6, 4, 3,
1], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[9, 6, 4, 3, 2], [And(1
< v,v < 2^(1/2)), u = -v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]]
, [[9, 6, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, And(-1 < y,y < 0),
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2],
[0, 0]]]], [[9, 6, 4, 3, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, And(-1 <
y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [741455/1048576,
46341/65536]]]], [[9, 6, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, And
(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [2, 2]]]
], [[9, 8, 5, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x
< 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [-2, -2]]]
], [[9, 8, 5, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x
< 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[9, 8, 5, 4, 3], [And(1 < v,v < 2^(1/2)), u = -
(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 8, 5, 4, 4], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[9, 8, 5, 4
, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, (
-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877
/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [2, 2]]]], [[9, 8, 7, 1, 1],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[9, 8, 7, 1, 2],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[9, 8, 7, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And
(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1/2, 1/2], [-4, -4], [0, 0]]]], [[9, 8, 7, 1, 4], [And(1 < v,v < 2^
(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[9, 8, 7
, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x
-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [-4, -4], [3, 3]]]], [[9, 10, 5,
7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[9, 16, 4, 5, 1], [And(1 <
v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9, 16, 4, 5, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[9, 
16, 4, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, And(0 < y,y
< 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[9, 16, 4, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[9, 16, 4, 5, 5], [And(1 < v,v < 2^(1/2)), u
= (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[10, 1, 1, 8, 1], [v = 2^(1/2), u < -2, x < -u^2+1, y
= u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [-9, -9], [15, 15], [0, 0]]]], [[10, 4, 7, 2, 1], [v = 2^(1/2), u = -3^(1/2)
, And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5/2, -5/
2], [-3, -3]]]], [[10, 4, 7, 2, 2], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x <
1), y = -x-2, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5/2, -5/2], [-1482911/
1048576, -741455/524288]]]], [[10, 4, 7, 2, 3], [v = 2^(1/2), u = -3^(1/2), 
And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1
/2], [-5/2, -5/2], [0, 0]]]], [[10, 4, 7, 2, 4], [v = 2^(1/2), u = -3^(1/2), 
And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5/2, -5/
2], [741455/524288, 1482911/1048576]]]], [[10, 4, 7, 2, 5], [v = 2^(1/2), u =
-3^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-\
5/2, -5/2], [3, 3]]]], [[10, 6, 6, 3, 1], [v = 2^(1/2), u = -v, x = 1, And(-2
< y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-2, -2]]]
], [[10, 6, 6, 3, 2], [v = 2^(1/2), u = -v, x = 1, And(-2 < y,y < -1), z = -(-
y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/
1048576]]]], [[10, 6, 6, 3, 3], [v = 2^(1/2), u = -v, x = 1, And(-2 < y,y < -1
), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [0
, 0]]]], [[10, 6, 6, 3, 4], [v = 2^(1/2), u = -v, x = 1, And(-2 < y,y < -1), z
= (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/65536]]
]], [[10, 6, 6, 3, 5], [v = 2^(1/2), u = -v, x = 1, And(-2 < y,y < -1), (-y-1)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [2, 2]]]], [[10, 12, 3, 3, 1],
[v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [
-1/4, -1/4], [-3, -3]]]], [[10, 12, 3, 3, 2], [v = 2^(1/2), u = 1, And(-2 < x,
x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -\
1387135/1048576]]]], [[10, 12, 3, 3, 3], [v = 2^(1/2), u = 1, And(-2 < x,x < -\
1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-1/4,
-1/4], [0, 0]]]], [[10, 12, 3, 3, 4], [v = 2^(1/2), u = 1, And(-2 < x,x < -1),
And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/
8192]]]], [[10, 12, 3, 3, 5], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), And(-x-\
2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[10, 14, 2, 2, 1], [
v = 2^(1/2), u = v, x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-2, -2]
]]], [[10, 14, 2, 2, 2], [v = 2^(1/2), u = v, x = -1, y = 0, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [-1, -1]]]], [[10, 14, 2, 2, 3], [v = 2^(1/2), u =
v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911
/1048576], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [0, 0]]]], [[10
, 14, 2, 2, 4], [v = 2^(1/2), u = v, x = -1, y = 0, z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [
0, 0], [1, 1]]]], [[10, 14, 2, 2, 5], [v = 2^(1/2), u = v, x = -1, y = 0, 1 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911
/1048576], [-1, -1], [0, 0], [2, 2]]]], [[11, 2, 5, 2, 1], [2^(1/2) < v, u = -
(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain, [[3
, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-5/2, -5/2], [-3, -3
]]]], [[11, 2, 5, 2, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0),
y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/2097152]]]],
[[11, 2, 5, 2, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x
-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [-1738867/524288,
-3477733/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[
11, 2, 5, 2, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3
, z = 3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[11, 2, 5, 2
, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) <
z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2]
, [-5/2, -5/2], [3, 3]]]], [[11, 4, 3, 2, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2)
, And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[11
, 4, 3, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2,
z = -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3
/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[11, 4, 3, 2,
3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[11, 4, 3, 2, 4], [2^(1/2) < v
, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/2
, -1/2], [741455/524288, 1482911/1048576]]]], [[11, 4, 3, 2, 5], [2^(1/2) < v,
u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain
, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/2, -1/2], [3,
3]]]], [[11, 10, 1, 9, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, 1-x < y,
z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4
], [6, 6], [0, 0]]]], [[11, 11, 10, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z <
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [8, 8], [-13, -13], [-\
4, -4]]]], [[11, 11, 10, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-\
2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y
+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [8, 8], [-13, -13], [-146543/
65536, -2344687/1048576]]]], [[11, 11, 10, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1
), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3
, 3], [0, 0], [8, 8], [-13, -13], [0, 0]]]], [[11, 11, 10, 3, 4], [2^(1/2) < v
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 <
y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [
8, 8], [-13, -13], [2344687/1048576, 146543/65536]]]], [[11, 11, 10, 3, 5], [2
^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u
^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3]
, [0, 0], [8, 8], [-13, -13], [4, 4]]]], [[11, 15, 7, 5, 1], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [-129143/1048576, -129143/
1048576], [-2, -2]]]], [[11, 15, 7, 5, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u
,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(
1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [-1274753/
2097152, -9959/16384]]]], [[11, 15, 7, 5, 3], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-516571/2097152, -516571/2097152], [-129143/1048576, -\
129143/1048576], [0, 0]]]], [[11, 15, 7, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-
y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [9959/
16384, 637377/1048576]]]], [[11, 15, 7, 5, 5], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/
2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571
/2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [2, 2]]]], [[
11, 17, 8, 4, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v
^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [0, 0], [-531193/1048576, -1062385/2097152], [-2, -2]]]], [[11
, 17, 8, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2
-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [0, 0], [-531193/1048576, -1062385/2097152], [-373161/524288, -\
1492643/2097152]]]], [[11, 17, 8, 4, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2
))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-531193
/1048576, -1062385/2097152], [-1/4194304, -1/4194304]]]], [[11, 17, 8, 4, 4],
[2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0],
[-531193/1048576, -1062385/2097152], [746321/1048576, 373161/524288]]]], [[11,
17, 8, 4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1
, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [0, 0], [-531193/1048576, -1062385/2097152], [2, 2]]]], [[1, 1, 1, 7,
1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-
x-1), z = z], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [51/2, 51/2], [
0, 0]]]], [[1, 2, 7, 6, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1
), y = 0, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 8, 7, 1, 1], [v < -2^(1/2), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-4, -4], [-3,
-3]]]], [[1, 8, 7, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1),
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]]
, [[1, 8, 7, 1, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -
x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [-4, -4], [0, 0]]]], [[1, 8,
7, 1, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[1, 8, 7, 1, 5],
[v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/
2], [-4, -4], [3, 3]]]], [[1, 10, 4, 4, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2),
x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271
/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[1, 10, 4, 4, 2], [v < -2^(1/2), u
= -(v^2-2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-3, -3], [-5548543
/2097152, -2774271/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[1, 10, 4, 4, 3],
[v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [0,
0], [0, 0]]]], [[1, 10, 4, 4, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, y
= 0, z = 1], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[-1, -1], [0, 0], [1, 1]]]], [[1, 10, 4, 4, 5], [v < -2^(1/2), u = -(v^2-2)^(1
/2), x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [0, 0], [2, 2]]]], [[1, 13, 11, 1, 1], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z < -(-x
-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2
], [-6, -6], [-3, -3]]]], [[1, 13, 11, 1, 2], [v < -2^(1/2), And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-6, -6],
[-2, -2]]]], [[1, 13, 11, 1, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-6, -6],
[0, 0]]]], [[1, 13, 11, 1, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1
)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [1435023/524288, 1435023/524288], [2, 2], [-6, -6], [2, 2]]]], [[1, 13, 11,
1, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2
-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [2, 2], [-6, -6], [3, 3]]]], [[1, 15, 9, 9, 1], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [1,
1], [0, 0]]]], [[1, 21, 7, 8, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,
x < 1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2]
, [29/2, 29/2], [0, 0]]]], [[2, 2, 2, 5, 1], [v = -2^(1/2), u = -2, x = -3, 
And(3 < y,y < 4), z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-3, -3], [7/2, 7/2], [0, 0]]]], [[2, 9, 10, 5, 1], [v = -2^(1/2), 
And(-1 < u,u < 0), x = 1, And(-1 < y,y < -u^2), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [-5/8, -5/8], [0, 0]]]
], [[2, 11, 7, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1),
y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2
], [3/8, 3/8], [-3/8, -3/8], [-1, -1]]]], [[2, 11, 7, 4, 2], [v = -2^(1/2), 
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-3/8, -3/8], [0, 0]
]]], [[2, 11, 7, 4, 3], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1)
, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1
/2], [3/8, 3/8], [-3/8, -3/8], [1, 1]]]], [[2, 17, 7, 3, 1], [v = -2^(1/2), 
And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-6216173/4194304
, -6216173/4194304], [-3, -3]]]], [[2, 17, 7, 3, 2], [v = -2^(1/2), And(3^(1/2
) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [-6216173/4194304, -\
6216173/4194304], [-4563/4096, -1168127/1048576]]]], [[2, 17, 7, 3, 3], [v = -
2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/2097152,
505467/2097152], [-6216173/4194304, -6216173/4194304], [0, 0]]]], [[2, 17, 7,
3, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x
+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152]
, [-6216173/4194304, -6216173/4194304], [1168127/1048576, 4563/4096]]]], [[2,
17, 7, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And
(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/
2097152], [-6216173/4194304, -6216173/4194304], [3, 3]]]], [[2, 19, 4, 2, 1],
[v = -2^(1/2), 2 < u, x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-7, -7], [-4, -4]]]],
[[2, 19, 4, 2, 2], [v = -2^(1/2), 2 < u, x = -1, y = -u^2+2, z = -(u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-7
, -7], [-2965821/1048576, -11863283/4194304]]]], [[2, 19, 4, 2, 3], [v = -2^(1
/2), 2 < u, x = -1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-7, -7]
, [-3/8388608, -3/8388608]]]], [[2, 19, 4, 2, 4], [v = -2^(1/2), 2 < u, x = -1
, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-1, -1], [-7, -7], [741455/262144, 2965821/1048576]]]], [[2,
19, 4, 2, 5], [v = -2^(1/2), 2 < u, x = -1, y = -u^2+2, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-7, -7]
, [4, 4]]]], [[3, 3, 8, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [0, 0], [0, 0]]]], [[3, 5, 7, 5, 1], [And(-2^(
1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And
(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-279169/2097152, -279169/2097152], [-2, -2]]]], [[
3, 5, 7, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(
u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-279169/2097152, -\
279169/2097152], [-662643/1048576, -1325285/2097152]]]], [[3, 5, 7, 5, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-279169/2097152, -\
279169/2097152], [-1/4194304, -1/4194304]]]], [[3, 5, 7, 5, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(u^2-
v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [-279169/2097152, -279169/2097152], [331321/524288, 662643/
1048576]]]], [[3, 5, 7, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-558339/2097152, -558339/2097152], [-279169/2097152, -\
279169/2097152], [2, 2]]]], [[3, 11, 7, 4, 1], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-112593/
524288, -225185/1048576], [-2, -2]]]], [[3, 11, 7, 4, 2], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-
x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [-112593/524288, -225185/1048576], [-1374407/2097152, -687203/1048576]]]], [
[3, 11, 7, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 
And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-112593/
524288, -225185/1048576], [0, 0]]]], [[3, 11, 7, 4, 4], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-\
1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [-112593/524288, -225185/1048576], [687203/1048576, 171801/262144]]]], [[3,
11, 7, 4, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u
^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
450371/2097152, -450371/2097152], [-112593/524288, -225185/1048576], [2, 2]]]]
, [[3, 13, 7, 8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -\
139585/524288], [139585/524288, 139585/524288], [-1, -1]]]], [[3, 13, 7, 8, 2]
, [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,
x < 0), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [139585/
524288, 139585/524288], [0, 0]]]], [[3, 13, 7, 8, 3], [And(-2^(1/2) < v,v < -1
), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [139585/524288, 139585/
524288], [1, 1]]]], [[3, 13, 9, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [
-1/2, -1/2], [-1, -1]]]], [[3, 13, 9, 6, 2], [And(-2^(1/2) < v,v < -1), And(-v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2,
1/2], [-1/2, -1/2], [0, 0]]]], [[3, 13, 9, 6, 3], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 15, 8, 3, 1], [And
(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1
, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-57648773/33554432, -57648773/
33554432], [-3, -3]]]], [[3, 15, 8, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2
+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-57648773/33554432, -57648773/33554432], [-583671/524288, -1167341/
1048576]]]], [[3, 15, 8, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And
(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [-57648773/33554432, -57648773/33554432], [0, 0]]]],
[[3, 15, 8, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [501965/1048576, 250983/524288], [-57648773/33554432,
-57648773/33554432], [1167341/1048576, 583671/524288]]]], [[3, 15, 8, 3, 5], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^
2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-57648773/33554432, -57648773/
33554432], [3, 3]]]], [[4, 3, 10, 1, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), x = 1, y < -u^2-1, z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-5, -5], [-3, -3]]]], [[4, 3, 10,
1, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y < -u^2-1, z = -(-y-1)
^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1,
1], [-5, -5], [-2, -2]]]], [[4, 3, 10, 1, 3], [v = -1, And(-3^(1/2) < u,u < -2
^(1/2)), x = 1, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-5, -\
5], [0, 0]]]], [[4, 3, 10, 1, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x =
1, y < -u^2-1, z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304
, -6598195/4194304], [1, 1], [-5, -5], [2, 2]]]], [[4, 3, 10, 1, 5], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y < -u^2-1, (-y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-5, -\
5], [3, 3]]]], [[4, 5, 8, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, 0 <
y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0
, 0], [1, 1], [0, 0]]]], [[4, 9, 9, 7, 1], [v = -1, And(0 < u,u < 1), And(0 <
x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [1
/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[4, 11, 10, 2, 1], [v = -1, And(1 < u,u <
2^(1/2)), x = 1, y = -u^2-1, z < -u], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1, 1], [-2576463/1048576, -1288231/524288], [-3, -\
3]]]], [[4, 11, 10, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y = -u^2-1,
z = -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1]
, [-2576463/1048576, -1288231/524288], [-1265743/1048576, -1265743/1048576]]]]
, [[4, 11, 10, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y = -u^2-1, And(
-u < z,z < u)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[1, 1], [-2576463/1048576, -1288231/524288], [0, 0]]]], [[4, 11, 10, 2, 4], [v
= -1, And(1 < u,u < 2^(1/2)), x = 1, y = -u^2-1, z = u], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [1, 1], [-2576463/1048576, -1288231/
524288], [1265743/1048576, 1265743/1048576]]]], [[4, 11, 10, 2, 5], [v = -1, 
And(1 < u,u < 2^(1/2)), x = 1, y = -u^2-1, u < z], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [1, 1], [-2576463/1048576, -1288231/524288
], [3, 3]]]], [[5, 2, 2, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3
, And(3 < y,y < 4), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-3,
-3], [7/2, 7/2], [0, 0]]]], [[5, 3, 10, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = z], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [1, 1], [-281267/524288, -\
1125067/2097152], [0, 0]]]], [[5, 11, 10, 7, 1], [And(-1 < v,v < 0), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [-\
1125067/4194304, -1125067/4194304], [0, 0]]]], [[5, 13, 7, 6, 1], [And(-1 < v,
v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[
-1/2, -1/2], [3, 3], [1/2, 1/2], [0, 0], [0, 0]]]], [[6, 5, 11, 2, 1], [v = 0,
And(-1 < u,u < 0), 1 < x, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [
[0, 0], [-1/2, -1/2], [2, 2], [-13/4, -13/4], [-3, -3]]]], [[6, 5, 11, 2, 2],
[v = 0, And(-1 < u,u < 0), 1 < x, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-13/4, -13/4], [-146543/131072,
-1172343/1048576]]]], [[6, 5, 11, 2, 3], [v = 0, And(-1 < u,u < 0), 1 < x, y =
-u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0],
[-1/2, -1/2], [2, 2], [-13/4, -13/4], [0, 0]]]], [[6, 5, 11, 2, 4], [v = 0, 
And(-1 < u,u < 0), 1 < x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[
0, 0], [-1/2, -1/2], [2, 2], [-13/4, -13/4], [1172343/1048576, 146543/131072]]
]], [[6, 5, 11, 2, 5], [v = 0, And(-1 < u,u < 0), 1 < x, y = -u^2-x-1, (u^2+1)
^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-13/4, -13/4], [3
, 3]]]], [[6, 7, 11, 6, 1], [v = 0, And(0 < u,u < 1), 1 < x, y = -x, z < 0], [
regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-2, -2], [-1, -1]]]], [[6, 7, 11,
6, 2], [v = 0, And(0 < u,u < 1), 1 < x, y = -x, z = 0], [regular_chain, [[0, 0
], [1/2, 1/2], [2, 2], [-2, -2], [0, 0]]]], [[6, 7, 11, 6, 3], [v = 0, And(0 <
u,u < 1), 1 < x, y = -x, 0 < z], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2],
[-2, -2], [1, 1]]]], [[6, 11, 8, 8, 1], [v = 0, 2^(1/2) < u, x = 1, y = u^2-2,
z = z], [regular_chain, [[0, 0], [3, 3], [1, 1], [7, 7], [0, 0]]]], [[7, 2, 3,
7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y
< 1-x), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [5/2, 5/2
], [0, 0]]]], [[7, 8, 2, 1, 1], [And(0 < v,v < 1), u = v, x = -1, y < 0, z < -
(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [-1, -1], [-3
, -3]]]], [[7, 8, 2, 1, 2], [And(0 < v,v < 1), u = v, x = -1, y < 0, z = -(1-y
)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[7, 8, 2, 1, 3], [And(0 < v,v < 1), u =
v, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/
2, 1/2], [1/2, 1/2], [-1, -1], [-1, -1], [0, 0]]]], [[7, 8, 2, 1, 4], [And(0 <
v,v < 1), u = v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[1/2, 1/2], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[7, 8, 2
, 1, 5], [And(0 < v,v < 1), u = v, x = -1, y < 0, (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1, -1], [-1, -1], [3, 3]]]], [[7, 10
, 2, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, 2 < y, z = z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2], [3, 3]
, [0, 0]]]], [[7, 10, 4, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1,
And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[7, 10, 4, 5, 2],
[And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[7, 10, 4, 5, 3], [And(0
< v,v < 1), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,
z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1, -1], [1/2, 1/2], [0, 0]]]], [[7, 10, 4, 5, 4], [And(0 < v,v < 1)
, u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[7, 10, 4, 5, 5], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [1172343/1048576, 146543/131072], [-1, -1], [1/2, 1/2], [2, 2]]]]
, [[7, 12, 3, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1),
y = -x-3, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-\
1, -1], [-3, -3]]]], [[7, 12, 3, 2, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2
, 3/2], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[7, 12,
3, 2, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2,
-2], [-1, -1], [-1/4194304, -1/4194304]]]], [[7, 12, 3, 2, 4], [And(0 < v,v <
1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[7, 12, 3, 2, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-2, -2], [-1, -1], [3, 3]]]], [[8, 4, 4, 7, 1], [v = 1, u = -2^(1/2), x
= -1, 1 < y, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1, -1], [2, 2], [0, 0]]]], [[8, 6, 4, 1, 1], [v = 1, u = -1, x = 0,
y < -1, z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-2, -2],
[-3, -3]]]], [[8, 6, 4, 1, 2], [v = 1, u = -1, x = 0, y < -1, z = -(-y)^(1/2)]
, [regular_chain, [[1, 1], [-1, -1], [0, 0], [-2, -2], [-1482911/1048576, -\
741455/524288]]]], [[8, 6, 4, 1, 3], [v = 1, u = -1, x = 0, y < -1, And(-(-y)^
(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-2, -2
], [0, 0]]]], [[8, 6, 4, 1, 4], [v = 1, u = -1, x = 0, y < -1, z = (-y)^(1/2)]
, [regular_chain, [[1, 1], [-1, -1], [0, 0], [-2, -2], [741455/524288, 1482911
/1048576]]]], [[8, 6, 4, 1, 5], [v = 1, u = -1, x = 0, y < -1, (-y)^(1/2) < z]
, [regular_chain, [[1, 1], [-1, -1], [0, 0], [-2, -2], [3, 3]]]], [[8, 10, 5,
1, 1], [v = 1, u = 1, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[8, 10, 5,
1, 2], [v = 1, u = 1, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-3, -3], [-3315889/2097152, -\
207243/131072]]]], [[8, 10, 5, 1, 3], [v = 1, u = 1, And(0 < x,x < 1), y < -1-
x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1, 1],
[1/2, 1/2], [-3, -3], [0, 0]]]], [[8, 10, 5, 1, 4], [v = 1, u = 1, And(0 < x,x
< 1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2]
, [-3, -3], [207243/131072, 1657945/1048576]]]], [[8, 10, 5, 1, 5], [v = 1, u
= 1, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
1, 1], [1/2, 1/2], [-3, -3], [3, 3]]]], [[8, 12, 5, 7, 1], [v = 1, u = 2^(1/2)
, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1, 1], [741455/524288,
1482911/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[9, 2, 7, 7, 1], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[9, 4, 6, 2, 1], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [0, 0], [-2, -2], [-3, -3]]]], [[9, 4, 6, 2, 2], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0],
[-2, -2], [-1482911/1048576, -741455/524288]]]], [[9, 4, 6, 2, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [-2, -2], [0, 0]]]], [[9, 4, 6, 2, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0]
, [-2, -2], [741455/524288, 1482911/1048576]]]], [[9, 4, 6, 2, 5], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0
], [-2, -2], [3, 3]]]], [[9, 12, 4, 1, 1], [And(1 < v,v < 2^(1/2)), u = v, x =
0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [-3, -3]]]], [
[9, 12, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y < -1, z = -(-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[9
, 12, 4, 1, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y < -1, And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [0, 0]]]], [[9, 12, 4, 1,
4], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y < -1, z = (-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[9, 12, 4, 1
, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 0, y < -1, (-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-2, -2], [3, 3]]]], [[9, 14, 5, 2, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[9, 14, 5, 2, 2], [And(1 <
v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[
9, 14, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0)
, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/2, -3/2]
, [0, 0]]]], [[9, 14, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/2, -3/2]
, [741455/524288, 1482911/1048576]]]], [[9, 14, 5, 2, 5], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[10, 2, 7, 2, 1], [v = 2^(1/2
), u = -2, And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[
10, 2, 7, 2, 2], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y = -x-3, z = -3^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [
-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[10, 2, 7, 2, 3], [v =
2^(1/2), u = -2, And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-7/2,
-7/2], [-1/4194304, -1/4194304]]]], [[10, 2, 7, 2, 4], [v = 2^(1/2), u = -2, 
And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/
1048576]]]], [[10, 2, 7, 2, 5], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y = -x
-3, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2],
[1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[10, 4, 5, 4, 1], [v = 2^(1/2), u = -3^(
1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[0, 0], [-2, -2]]]], [[10, 4, 5, 4, 2], [v = 2^(1/2), u = -3^(1/2), And(-1 < x
,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[10, 4, 5, 4, 3], [v = 2^(1/2), u = -3^
(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 4, 5, 4, 4], [v = 2^(1/2), u
= -3^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[10, 4, 5, 4, 5], [v = 2^(1/
2), u = -3^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [0, 0], [2, 2]]]], [[10, 8, 6, 2, 1], [v = 2^(1/2), u = -1, x = 0, y =
-2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1]
, [0, 0], [-2, -2], [-3, -3]]]], [[10, 8, 6, 2, 2], [v = 2^(1/2), u = -1, x =
0, y = -2, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1, -1], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[10, 8, 6,
2, 3], [v = 2^(1/2), u = -1, x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-2, -2],
[0, 0]]]], [[10, 8, 6, 2, 4], [v = 2^(1/2), u = -1, x = 0, y = -2, z = 2^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-2, -\
2], [741455/524288, 1482911/1048576]]]], [[10, 8, 6, 2, 5], [v = 2^(1/2), u =
-1, x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [-2, -2], [3, 3]]]], [[10, 10, 4, 4, 1], [v = 2^(1
/2), u = 0, x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[10, 10, 4, 4, 2], [v = 2^(1
/2), u = 0, x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[10, 10, 4, 4, 3], [v = 2^(1
/2), u = 0, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288
, 1482911/1048576], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[10, 10, 4, 4, 4], [
v = 2^(1/2), u = 0, x = -1, y = 0, z = 1], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1, -1], [0, 0], [1, 1]]]], [[10, 10, 4, 4, 5], [v
= 2^(1/2), u = 0, x = -1, y = 0, 1 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1, -1], [0, 0], [2, 2]]]], [[10, 16, 2, 1, 1], [v
= 2^(1/2), u = 3^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-2, -2], [
-1, -1], [-3, -3]]]], [[10, 16, 2, 1, 2], [v = 2^(1/2), u = 3^(1/2), x = -2, y
< 0, z = -(2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 16, 2, 1, 3], [v = 2^(1/2), u = 3^(1/2), x = -2, y
< 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [908093/524288, 1816187/1048576], [-2, -2], [-1, -1], [-1/
4194304, -1/4194304]]]], [[10, 16, 2, 1, 4], [v = 2^(1/2), u = 3^(1/2), x = -2
, y < 0, z = (2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/
1048576]]]], [[10, 16, 2, 1, 5], [v = 2^(1/2), u = 3^(1/2), x = -2, y < 0, (2-
y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[10, 18, 1, 2, 1], [
v = 2^(1/2), u = 2, x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-4, -4], [0, 0], [-3, -3]]]], [[10, 18, 1,
2, 2], [v = 2^(1/2), u = 2, x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [0, 0], [-2, -2]]]], [[10,
18, 1, 2, 3], [v = 2^(1/2), u = 2, x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -4],
[0, 0], [0, 0]]]], [[10, 18, 1, 2, 4], [v = 2^(1/2), u = 2, x < -3, y = 0, z =
(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-4, -\
4], [0, 0], [2, 2]]]], [[10, 18, 1, 2, 5], [v = 2^(1/2), u = 2, x < -3, y = 0,
(-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-\
4, -4], [0, 0], [3, 3]]]], [[10, 18, 2, 3, 1], [v = 2^(1/2), u = 2, x = -3, 
And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[10, 18, 2, 3, 2], [v =
2^(1/2), u = 2, x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [3/2, 3/2], [-1284239/
1048576, -642119/524288]]]], [[10, 18, 2, 3, 3], [v = 2^(1/2), u = 2, x = -3,
And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-3, -3], [3/2, 3/2], [0, 0]]]], [[10
, 18, 2, 3, 4], [v = 2^(1/2), u = 2, x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [3/2,
3/2], [642119/524288, 1284239/1048576]]]], [[10, 18, 2, 3, 5], [v = 2^(1/2), u
= 2, x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-3, -3], [3/2, 3/2], [3, 3]]]], [[10, 19, 
10, 6, 1], [v = 2^(1/2), 2 < u, x = u^2-3, y = 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [6, 6], [0, 0], [0, 0]]]], [[11, 6, 3
, 4, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[11, 6,
3, 4, 2], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[11, 6, 3, 4, 3], [2^(1/2) < v, u = -v, And(-1 < x,x < 0)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-3, -\
3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 6, 3, 4, 4], [2^(1/2) < v, u = -v,
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3],
[-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 6, 3, 4, 5], [2^
(1/2) < v, u = -v, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[3, 3], [-3, -3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 8, 4, 5, 1], [2^(1/2
) < v, u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [1/2,
1/2], [-2, -2]]]], [[11, 8, 4, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1
, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[11, 8, 4, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(
0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3],
[-2965821/1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11,
8, 4, 5, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = (
1-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[11, 8, 4, 5, 5], [2^(
1/2) < v, u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1, -1], [1/2,
1/2], [2, 2]]]], [[11, 11, 11, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), -u^2+v^2-1 < x, y = -u^2+v^2-x-1, z = z], [regular_chain, [[3,
3], [0, 0], [9, 9], [-1, -1], [0, 0]]]], [[11, 13, 9, 2, 1], [2^(1/2) < v, And
((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-
x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [1581613/2097152, 1581613/2097152], [-3420995/1048576, -\
1710497/524288], [-3, -3]]]], [[11, 13, 9, 2, 2], [2^(1/2) < v, And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[1581613/2097152, 1581613/2097152], [-3420995/1048576, -1710497/524288], [-\
3321417/2097152, -415177/262144]]]], [[11, 13, 9, 2, 3], [2^(1/2) < v, And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-\
3420995/1048576, -1710497/524288], [0, 0]]]], [[11, 13, 9, 2, 4], [2^(1/2) < v
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2
-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [1581613/2097152, 1581613/2097152], [-3420995/1048576, -\
1710497/524288], [415177/262144, 1660709/1048576]]]], [[11, 13, 9, 2, 5], [2^(
1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1),
y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-3420995/1048576
, -1710497/524288], [3, 3]]]], [[11, 19, 8, 6, 1], [2^(1/2) < v, And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[3
, 3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [0,
0], [0, 0]]]], [[11, 21, 5, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x
,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2
], [17, 17], [0, 0]]]], [[1, 4, 5, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 4, 5,
4, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^
(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1/2, -\
1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[1, 4, 5, 4, 3], [v < -
2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-\
1/2, -1/2], [0, 0], [0, 0]]]], [[1, 4, 5, 4, 4], [v < -2^(1/2), u = -(v^2+1)^(
1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/
65536]]]], [[1, 4, 5, 4, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-1 < x,x <
0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 6, 4, 1, 1], [v < -2^(1/2
), u = v, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3]
, [0, 0], [-2, -2], [-3, -3]]]], [[1, 6, 4, 1, 2], [v < -2^(1/2), u = v, x = 0
, y < -1, z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [0, 0], [-2,
-2], [-1482911/1048576, -741455/524288]]]], [[1, 6, 4, 1, 3], [v < -2^(1/2), u
= v, x = 0, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3
, -3], [-3, -3], [0, 0], [-2, -2], [0, 0]]]], [[1, 6, 4, 1, 4], [v < -2^(1/2),
u = v, x = 0, y < -1, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [0
, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[1, 6, 4, 1, 5], [v < -2
^(1/2), u = v, x = 0, y < -1, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3,
-3], [0, 0], [-2, -2], [3, 3]]]], [[1, 12, 1, 3, 1], [v < -2^(1/2), u = (v^2-2
)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [2774271/1048576, 10837/4096], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[1,
12, 1, 3, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-\
4, -4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[1, 12, 1, 3, 3],
[v < -2^(1/2), u = (v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-4, -4], [1/2, 1/2], [0, 0]]]], [[1, 12, 1, 3, 4], [v < -2^(1/2), u =
(v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [-4, -4], [1/2, 1/2], [980853/524288
, 1961707/1048576]]]], [[1, 12, 1, 3, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x
< -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-4, -4], [1/2, 1/2], [3, 3]]]], [[1, 13, 9, 4,
1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 <
x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [1581613/2097152, 1581613/2097152], [-1581613/2097152, -1581613/
2097152], [-1, -1]]]], [[1, 13, 9, 4, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, z = 0], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/
2097152], [-1581613/2097152, -1581613/2097152], [0, 0]]]], [[1, 13, 9, 4, 3],
[v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [1581613/2097152, 1581613/2097152], [-1581613/2097152, -1581613/
2097152], [1, 1]]]], [[1, 17, 10, 4, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)
^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [1, 1], [-1579769/1048576, -3159537/
2097152], [-2, -2]]]], [[1, 17, 10, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+
1)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [403851/131072, 403851/131072], [1, 1], [-1579769/1048576, -3159537/
2097152], [-373161/524288, -1492643/2097152]]]], [[1, 17, 10, 4, 3], [v < -2^(
1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(
1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [1, 1], [-1579769/1048576, -3159537/2097152], [-1/4194304, -1/
4194304]]]], [[1, 17, 10, 4, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [1, 1], [-1579769/1048576, -3159537/2097152], [
746321/1048576, 373161/524288]]]], [[1, 17, 10, 4, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [-1579769/
1048576, -3159537/2097152], [2, 2]]]], [[1, 19, 9, 3, 1], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-\
1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-8363633/4194304, -\
8363633/4194304], [-3, -3]]]], [[1, 19, 9, 3, 2], [v < -2^(1/2), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [1566621/2097152, 1566621/2097152], [-8363633/4194304, -\
8363633/4194304], [-1170947/1048576, -585473/524288]]]], [[1, 19, 9, 3, 3], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1)
, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/2097152
, 1566621/2097152], [-8363633/4194304, -8363633/4194304], [0, 0]]]], [[1, 19,
9, 3, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2
-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/
2097152], [-8363633/4194304, -8363633/4194304], [585473/524288, 1170947/
1048576]]]], [[1, 19, 9, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [-8363633/4194304, -8363633/4194304], [3, 3
]]]], [[2, 3, 10, 6, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = u
^2-4, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [1, 1], [-543109/1048576, -1086217/2097152], [0, 0
]]]], [[2, 5, 9, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x <
1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-\
1599345/2097152, -1599345/2097152], [-2, -2]]]], [[2, 5, 9, 5, 2], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [-1599345/2097152, -1599345/2097152],
[-1074731/2097152, -537365/1048576]]]], [[2, 5, 9, 5, 3], [v = -2^(1/2), And(-
3^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-1599345/2097152, -\
1599345/2097152], [0, 0]]]], [[2, 5, 9, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-1599345/2097152, -1599345/2097152], [537365/
1048576, 268683/524288]]]], [[2, 5, 9, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-1599345/2097152, -1599345/2097152], [2, 2]]]],
[[2, 5, 11, 2, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y = -u^2-x+1
, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-3643535/1048576, -1821767/524288
], [-3, -3]]]], [[2, 5, 11, 2, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 <
x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-3643535/
1048576, -1821767/524288], [-636691/524288, -1273381/1048576]]]], [[2, 5, 11,
2, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y = -u^2-x+1, And(-(u^2-\
1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-3643535/1048576, -\
1821767/524288], [0, 0]]]], [[2, 5, 11, 2, 4], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
3643535/1048576, -1821767/524288], [1273381/1048576, 636691/524288]]]], [[2, 5
, 11, 2, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y = -u^2-x+1, (u^2
-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195
/4194304, -6598195/4194304], [2, 2], [-3643535/1048576, -1821767/524288], [3,
3]]]], [[2, 7, 11, 6, 1], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y = -x, z <
0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[2, 7, 11, 6, 2], [v = -2^(1
/2), And(v < u,u < -1), 1 < x, y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [2, 2], [-2, -\
2], [0, 0]]]], [[2, 7, 11, 6, 3], [v = -2^(1/2), And(v < u,u < -1), 1 < x, y =
-x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[2, 13, 7, 9, 1], [v
= -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [2, 2], [0, 0]]]], [[2, 15, 8, 4
, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, y = u^2-3, z < -(-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [0, 0], [-1101541/2097152, -275385/524288], [-2, -2]]]], [[2
, 15, 8, 4, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, y = u^2-3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [0, 0], [-1101541/2097152, -275385/524288],
[-1519901/2097152, -379975/524288]]]], [[2, 15, 8, 4, 3], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [0, 0], [-1101541/2097152, -275385/524288], [0, 0]]]], [[2,
15, 8, 4, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 0, y = u^2-3, z = (-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [0, 0], [-1101541/2097152, -275385/524288], [379975
/524288, 759951/1048576]]]], [[2, 15, 8, 4, 5], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = 0, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [0, 0], [-\
1101541/2097152, -275385/524288], [2, 2]]]], [[2, 19, 5, 8, 1], [v = -2^(1/2),
2 < u, And(-1 < x,x < 0), y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-1/2, -1/2], [13/2, 13/2], [0, 0]]]], [[3,
1, 11, 7, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, 
And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [8, 8], [-763943/1048576, -763943/1048576], [0, 0]
]]], [[3, 7, 9, 8, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)
), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [0, 0], [0
, 0]]]], [[3, 9, 8, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u
< (v^2-1)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/524288,
479311/1048576], [-239655/1048576, -239655/1048576], [0, 0]]]], [[3, 17, 5, 2,
1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+
v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576], [-4, -4]
]]], [[3, 17, 5, 2, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 <
x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-4216793/524288, -\
8433585/1048576], [-1532401/524288, -24518415/8388608]]]], [[3, 17, 5, 2, 3],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-
x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-4216793/524288, -\
8433585/1048576], [-7/16777216, -7/16777216]]]], [[3, 17, 5, 2, 4], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576], [3064801/1048576, 
1532401/524288]]]], [[3, 17, 5, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2
) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [-\
4216793/524288, -8433585/1048576], [4, 4]]]], [[4, 1, 11, 1, 1], [v = -1, u <
-3^(1/2), u^2-2 < x, y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [-3, -3], [8, 8], [-18, -18], [-5, -5]]]], [[4, 1, 11, 1, 2], [v = -1, u < -
3^(1/2), u^2-2 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-3, -3], [8, 8], [-18, -18], [-3315889/1048576, -207243/65536]]]], [[4, 1, 11
, 1, 3], [v = -1, u < -3^(1/2), u^2-2 < x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-18, -18], [0,
0]]]], [[4, 1, 11, 1, 4], [v = -1, u < -3^(1/2), u^2-2 < x, y < -u^2-x, z = (-
x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [8, 8], [-18, -18], [207243/
65536, 3315889/1048576]]]], [[4, 1, 11, 1, 5], [v = -1, u < -3^(1/2), u^2-2 <
x, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [8, 8],
[-18, -18], [5, 5]]]], [[4, 7, 9, 4, 1], [v = -1, And(-1 < u,u < 0), And(0 < x
,x < 1), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/
2], [-3/4, -3/4], [-2, -2]]]], [[4, 7, 9, 4, 2], [v = -1, And(-1 < u,u < 0), 
And(0 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2],
[1/2, 1/2], [-3/4, -3/4], [-1/2, -1/2]]]], [[4, 7, 9, 4, 3], [v = -1, And(-1 <
u,u < 0), And(0 < x,x < 1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[
-1, -1], [-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [0, 0]]]], [[4, 7, 9, 4, 4],
[v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [1/2, 1/2]]]
], [[4, 7, 9, 4, 5], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x,
-u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [2
, 2]]]], [[4, 9, 8, 1, 1], [v = -1, And(0 < u,u < 1), x = 0, y < u^2-2, z < -(
-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-3, -3], [-3, -3]]
]], [[4, 9, 8, 1, 2], [v = -1, And(0 < u,u < 1), x = 0, y < u^2-2, z = -(-y)^(
1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[4, 9, 8, 1, 3], [v = -1, And(0 < u,u < 1), x
= 0, y < u^2-2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1
], [1/2, 1/2], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[4, 9, 8, 1, 4]
, [v = -1, And(0 < u,u < 1), x = 0, y < u^2-2, z = (-y)^(1/2)], [regular_chain
, [[-1, -1], [1/2, 1/2], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]]
, [[4, 9, 8, 1, 5], [v = -1, And(0 < u,u < 1), x = 0, y < u^2-2, (-y)^(1/2) <
z], [regular_chain, [[-1, -1], [1/2, 1/2], [0, 0], [-3, -3], [3, 3]]]], [[4, 
13, 9, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y <
-u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [773191/1048576, 773191/1048576], [-5, -5], [-4, -4]]]], [[4
, 13, 9, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y
< -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [773191/1048576, 773191/1048576], [-5, -5], [-270613/131072,
-2164903/1048576]]]], [[4, 13, 9, 1, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2))
, And(u^2-2 < x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/1048576
, 773191/1048576], [-5, -5], [0, 0]]]], [[4, 13, 9, 1, 4], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/1048576,
773191/1048576], [-5, -5], [2164903/1048576, 270613/131072]]]], [[4, 13, 9, 1,
5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, (
-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [773191/1048576, 773191/1048576], [-5, -5], [4, 4]]]], [[4, 15, 5, 7, 1], [
v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(-x < y,y < u^2-x-2), z = z], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [4, 4], [0, 0]]]], [[5, 5, 9,
5, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/
1048576], [-2, -2]]]], [[5, 5, 9, 5, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2
) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2,
1/2], [-836497/1048576, -836497/1048576], [-572167/1048576, -1144333/2097152]]
]], [[5, 5, 9, 5, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0
< x,x < 1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2
, 1/2], [-836497/1048576, -836497/1048576], [-1/4194304, -1/4194304]]]], [[5,
5, 9, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-836497/1048576, -\
836497/1048576], [286083/524288, 572167/1048576]]]], [[5, 5, 9, 5, 5], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/1048576], [2, 2]]]]
, [[5, 7, 9, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), 0
< y, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [1, 1], [0, 0]
]]], [[5, 7, 11, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = -u^2
+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [2,
2], [-11/4, -11/4], [-2, -2]]]], [[5, 7, 11, 4, 2], [And(-1 < v,v < 0), And(v
< u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [2, 2], [-11/4, -11/4], [-1816187/2097152, -3632373/
4194304]]]], [[5, 7, 11, 4, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x,
y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-11/4, -11/4], [-1/8388608, -1/
8388608]]]], [[5, 7, 11, 4, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x,
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0
], [2, 2], [-11/4, -11/4], [908093/1048576, 454047/524288]]]], [[5, 7, 11, 4,
5], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-11/4, -11/4], [
2, 2]]]], [[5, 9, 11, 8, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2))
, 1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [2, 2], [0, 0], [0, 0]]]], [[6, 2, 4, 4, 1], [v = 0, u = -2^
(1/2), x = -1, y = 0, z < -1], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-1, -1], [0, 0], [-2, -2]]]], [[6, 2, 4, 4, 2], [v = 0, u = -
2^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-1, -1], [0, 0], [-1, -1]]]], [[6, 2, 4, 4, 3], [v = 0, u = -
2^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [-1482911
/1048576, -741455/524288], [-1, -1], [0, 0], [0, 0]]]], [[6, 2, 4, 4, 4], [v =
0, u = -2^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [1, 1]]]], [[6, 2, 4, 4, 5], [v =
0, u = -2^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [2, 2]]]], [[6, 4, 1, 3, 1], [v =
0, u = -1, x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[
0, 0], [-1, -1], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[6, 4, 1, 3, 2], [v = 0,
u = -1, x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-1, -1], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[6
, 4, 1, 3, 3], [v = 0, u = -1, x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [1/2, 1/2
], [0, 0]]]], [[6, 4, 1, 3, 4], [v = 0, u = -1, x < -2, And(0 < y,y < -x-2), z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [1/2, 1/2], [
207243/131072, 1657945/1048576]]]], [[6, 4, 1, 3, 5], [v = 0, u = -1, x < -2,
And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3
, -3], [1/2, 1/2], [3, 3]]]], [[6, 8, 2, 3, 1], [v = 0, u = 1, x = -2, And(0 <
y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [1, 1]
, [-2, -2]]]], [[6, 8, 2, 3, 2], [v = 0, u = 1, x = -2, And(0 < y,y < 2), z =
-(2-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [1, 1], [-1, -1]]]],
[[6, 8, 2, 3, 3], [v = 0, u = 1, x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) <
z,z < (2-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-2, -2], [1, 1], [0, 0]
]]], [[6, 8, 2, 3, 4], [v = 0, u = 1, x = -2, And(0 < y,y < 2), z = (2-y)^(1/2
)], [regular_chain, [[0, 0], [1, 1], [-2, -2], [1, 1], [1, 1]]]], [[6, 8, 2, 3
, 5], [v = 0, u = 1, x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-2, -2], [1, 1], [2, 2]]]], [[6, 9, 11, 9, 1]
, [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[0, 0
], [1265743/1048576, 1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[7, 4, 3, 2
, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z <
-2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-\
3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[7, 4, 3, 2, 2], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain,
[[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2], [-1/2, -1/2], [
-1482911/1048576, -741455/524288]]]], [[7, 4, 3, 2, 3], [And(0 < v,v < 1), u =
-(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[-1/2, -1/2], [0, 0]]]], [[7, 4, 3, 2, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/
2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [
-146543/131072, -1172343/1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288,
1482911/1048576]]]], [[7, 4, 3, 2, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[7,
6, 1, 4, 1], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x, z < -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [-2, -2]]]], [[7,
6, 1, 4, 2], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x, z = -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [-1, -1]]]], [[7,
6, 1, 4, 3], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x, And(-1 < z,z < 1)],
[regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [0, 0]]]], [[7, 6
, 1, 4, 4], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [1, 1]]]], [[7, 6,
1, 4, 5], [And(0 < v,v < 1), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [-2, -2], [1, 1], [2, 2]]]], [[7, 13, 10, 4, 1], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [
regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-31/4, -31/4], [-1, -1]]]],
[[7, 13, 10, 4, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -
u^2+v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-31/4,
-31/4], [0, 0]]]], [[7, 13, 10, 4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
= u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [31/
4, 31/4], [-31/4, -31/4], [1, 1]]]], [[8, 2, 5, 7, 1], [v = 1, u = -3^(1/2), 
And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1, 1], [0, 0]]]], [[8, 8, 4
, 1, 1], [v = 1, u = 0, x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[1
, 1], [0, 0], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 8, 4, 1, 2], [v = 1, u = 0
, x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1, -1]
, [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[8, 8, 4, 1, 3], [v = 1,
u = 0, x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[1, 1], [0, 0], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[8, 8, 4, 1
, 4], [v = 1, u = 0, x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[1, 1]
, [0, 0], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[8, 8, 4,
1, 5], [v = 1, u = 0, x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[1, 1
], [0, 0], [-1, -1], [-2, -2], [3, 3]]]], [[8, 10, 3, 2, 1], [v = 1, u = 1, 
And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[1, 1], [1, 1], [-1/2,
-1/2], [-1/2, -1/2], [-2, -2]]]], [[8, 10, 3, 2, 2], [v = 1, u = 1, And(-1 < x
,x < 0), y = -1-x, z = -1], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-1
/2, -1/2], [-1, -1]]]], [[8, 10, 3, 2, 3], [v = 1, u = 1, And(-1 < x,x < 0), y
= -1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-1
/2, -1/2], [0, 0]]]], [[8, 10, 3, 2, 4], [v = 1, u = 1, And(-1 < x,x < 0), y =
-1-x, z = 1], [regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-1/2, -1/2], [1,
1]]]], [[8, 10, 3, 2, 5], [v = 1, u = 1, And(-1 < x,x < 0), y = -1-x, 1 < z],
[regular_chain, [[1, 1], [1, 1], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[8, 
14, 3, 3, 1], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z
< -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [
-2, -2], [-1/2, -1/2], [-3, -3]]]], [[8, 14, 3, 3, 2], [v = 1, u = 3^(1/2), 
And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [-1/2, -1/2], [-3315889/
2097152, -207243/131072]]]], [[8, 14, 3, 3, 3], [v = 1, u = 3^(1/2), And(-3 <
x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [-1/2, -1/
2], [0, 0]]]], [[8, 14, 3, 3, 4], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And
(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]],
[[8, 14, 3, 3, 5], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[8, 15, 11, 6, 1], [v = 1, 3^(1/2) < u,
u^2-2 < x, y = u^2-x-2, z = z], [regular_chain, [[1, 1], [3, 3], [8, 8], [-1,
-1], [0, 0]]]], [[9, 6, 4, 2, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, y =
-1, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[9, 6, 4, 2, 2], [
And(1 < v,v < 2^(1/2)), u = -v, x = 0, y = -1, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0
], [-1, -1], [-1, -1]]]], [[9, 6, 4, 2, 3], [And(1 < v,v < 2^(1/2)), u = -v, x
= 0, y = -1, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [
[9, 6, 4, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, y = -1, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[9, 6, 4, 2, 5], [And(1 < v,v
< 2^(1/2)), u = -v, x = 0, y = -1, 1 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [2,
2]]]], [[9, 8, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 <
x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [
-3/4, -3/4], [-3, -3]]]], [[9, 8, 5, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [
[9, 8, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0
), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[9, 8, 5, 3, 4], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543
/131072]]]], [[9, 8, 5, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 
And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [-3/4, -3/4], [3, 3]]]], [[9, 8, 7, 2, 1], [And(1 < v,v < 2^(1/2)), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1
/2], [-5/2, -5/2], [-3, -3]]]], [[9, 8, 7, 2, 2], [And(1 < v,v < 2^(1/2)), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1
/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[9, 8, 7, 2, 3], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2
^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1417877/2097152, -354469/524288], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[9,
8, 7, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y
= -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 
1482911/1048576]]]], [[9, 8, 7, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-5
/2, -5/2], [3, 3]]]], [[9, 10, 6, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^
(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [-3, -3], [-3, -3]]
]], [[9, 10, 6, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, y <
-2, z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[9, 10, 6, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
= 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [-3, -3],
[-1/4194304, -1/4194304]]]], [[9, 10, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [-3, -3],
[908093/524288, 1816187/1048576]]]], [[9, 10, 6, 1, 5], [And(1 < v,v < 2^(1/2)
), u = (v^2-1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [-\
3, -3], [3, 3]]]], [[9, 16, 4, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), x = -1, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576
], [121853/65536, 1949649/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[9, 16, 4,
4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [0, 0], [-1, -1]]]], [[9, 16, 4, 4, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[0, 0], [0, 0]]]], [[9, 16, 4, 4, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), x = -1, y = 0, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [121853/65536, 1949649/1048576], [-1, -1], [0, 0], [1, 1]]]], [[9, 16, 4, 4,
5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[10, 1, 1, 7, 1], [v = 2^(1/2), u < -2
, x < -u^2+1, And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [-9, -9], [12, 12], [0, 0]]]], [[10, 4, 7, 3, 1]
, [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[10, 4, 7,
3, 2], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[10, 4, 7,
3, 3], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/
2], [0, 0]]]], [[10, 4, 7, 3, 4], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1)
, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/
2], [1, 1]]]], [[10, 4, 7, 3, 5], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1)
, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/
2], [2, 2]]]], [[10, 6, 6, 4, 1], [v = 2^(1/2), u = -v, x = 1, y = -1, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [1, 1], [-1, -1], [-1, -1]]]], [[10, 6, 6, 4, 2], [v = 2^(1/2), u = -
v, x = 1, y = -1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [0, 0]]]], [[10, 6, 6, 4,
3], [v = 2^(1/2), u = -v, x = 1, y = -1, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1], [-1, -1]
, [1, 1]]]], [[10, 12, 3, 2, 1], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y =
-x-2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[10, 12, 3, 2, 2], [v = 2^(1/2), u
= 1, And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[10, 12, 3, 2, 3], [v = 2^(1/2), u = 1, And(-2 <
x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[10,
12, 3, 2, 4], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-1/2
, -1/2], [741455/524288, 1482911/1048576]]]], [[10, 12, 3, 2, 5], [v = 2^(1/2)
, u = 1, And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[10,
14, 2, 1, 1], [v = 2^(1/2), u = v, x = -1, y < 0, z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[10, 14, 2, 1, 2], [v = 2^(1/2), u
= v, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[10, 14, 2, 1, 3], [v = 2^(1/2), u = v,
x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [
-1, -1], [0, 0]]]], [[10, 14, 2, 1, 4], [v = 2^(1/2), u = v, x = -1, y < 0, z
= (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]
]]], [[10, 14, 2, 1, 5], [v = 2^(1/2), u = v, x = -1, y < 0, (1-y)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [-1, -1], [3, 3]]]], [[11, 2, 5, 1, 1], [2^(1/2) < v, u =
-(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-4
, -4], [-4, -4]]]], [[11, 2, 5, 1, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867
/524288, -3477733/1048576], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365
/1048576]]]], [[11, 2, 5, 1, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,
x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
3, 3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-4, -4], [0, 0]]]],
[[11, 2, 5, 1, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x
-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[11,
2, 5, 1, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, (-
x-y)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-1/2, -1/2], [-4, -4], [4, 4]]]], [[11, 4, 3, 1, 1], [2^(1/2) < v, u = -(v^2+
1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-2, -2], [-3, -3]]]],
[[11, 4, 3, 1, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -
x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[11, 4
, 3, 1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[11, 4, 3, 1, 4],
[2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/
2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2],
[-2, -2], [980853/524288, 1961707/1048576]]]], [[11, 4, 3, 1, 5], [2^(1/2) < v
, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-2,
-2], [3, 3]]]], [[11, 10, 2, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3,
y < 0, z < -(3-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271
/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[11, 10, 2, 1, 2], [2^(1/2) < v,
u = -(v^2-2)^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[11, 
10, 2, 1, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2
) < z,z < (3-y)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [-1, -1], [0, 0]]]], [[11, 10, 2, 1, 4], [2^(1/2) < v, u =
-(v^2-2)^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[11, 10, 2
, 1, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-3, -3], [-1, -\
1], [3, 3]]]], [[11, 11, 10, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (
v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[3, 3],
[0, 0], [8, 8], [-8, -8], [-1, -1]]]], [[11, 11, 10, 4, 2], [2^(1/2) < v, And(
-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0],
[regular_chain, [[3, 3], [0, 0], [8, 8], [-8, -8], [0, 0]]]], [[11, 11, 10, 4,
3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y
= u^2-v^2+1, 0 < z], [regular_chain, [[3, 3], [0, 0], [8, 8], [-8, -8], [1, 1]
]]], [[11, 15, 7, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+
v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152]
, [-258287/1048576, -129143/524288], [-2, -2]]]], [[11, 15, 7, 4, 2], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [-258287/1048576, -129143/524288
], [-735979/1048576, -1471957/2097152]]]], [[11, 15, 7, 4, 3], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
258287/1048576, -129143/524288], [-1/4194304, -1/4194304]]]], [[11, 15, 7, 4,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-258287/
1048576, -129143/524288], [367989/524288, 735979/1048576]]]], [[11, 15, 7, 4,
5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y =
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-258287/
1048576, -129143/524288], [2, 2]]]], [[11, 17, 8, 3, 1], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2
)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-1, -1],
[-2, -2]]]], [[11, 17, 8, 3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [0, 0], [-1, -1], [-1, -1]]]], [[11, 17, 8
, 3, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y
,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [0, 0], [-1, -1], [0, 0]]]], [[11, 17, 8, 3,
4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y <
u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [0, 0], [-1, -1], [1, 1]]]], [[11, 17, 8, 3, 5], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), (-y)^(1/2) <
z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [0, 0], [-1, -1],
[2, 2]]]], [[1, 4, 7, 2, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x <
1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[1, 4, 7, 2, 2], [v < -
2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-5/2
, -5/2], [-1482911/1048576, -741455/524288]]]], [[1, 4, 7, 2, 3], [v < -2^(1/2
), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2
))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2],
[-5/2, -5/2], [0, 0]]]], [[1, 4, 7, 2, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2),
And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [-3315889
/1048576, -207243/65536], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/
1048576]]]], [[1, 4, 7, 2, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x
< 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[1, 6, 6, 3, 1], [v < -2^
(1/2), u = v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[-3, -3], [-3, -3], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[1, 6, 6, 3, 2], [v <
-2^(1/2), u = v, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain
, [[-3, -3], [-3, -3], [1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/
1048576]]]], [[1, 6, 6, 3, 3], [v < -2^(1/2), u = v, x = 1, And(-2 < y,y < -1)
, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-3, -3
], [1, 1], [-3/2, -3/2], [0, 0]]]], [[1, 6, 6, 3, 4], [v < -2^(1/2), u = v, x
= 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3
], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[1, 6, 6, 3, 5], [
v < -2^(1/2), u = v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3/2, -3/2], [2, 2]]]], [[1, 11,
11, 6, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-\
1 < x, y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-\
1, -1], [0, 0]]]], [[1, 13, 9, 2, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [-3420995/1048576, -1710497/524288], [-3, -3]]]], [
[1, 13, 9, 2, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [-3420995/1048576, -1710497/524288], [-3321417/2097152, -\
415177/262144]]]], [[1, 13, 9, 2, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288
, 1435023/524288], [1581613/2097152, 1581613/2097152], [-3420995/1048576, -\
1710497/524288], [0, 0]]]], [[1, 13, 9, 2, 4], [v < -2^(1/2), And((v^2-2)^(1/2
) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = (-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[1581613/2097152, 1581613/2097152], [-3420995/1048576, -1710497/524288], [
415177/262144, 1660709/1048576]]]], [[1, 13, 9, 2, 5], [v < -2^(1/2), And((v^2
-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [1581613/2097152, 1581613/2097152], [-3420995/1048576, -1710497/
524288], [3, 3]]]], [[1, 17, 11, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [-9450993/4194304, -\
9450993/4194304], [-2, -2]]]], [[1, 17, 11, 5, 2], [v < -2^(1/2), And(-v < u,u
< (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [-9450993/
4194304, -9450993/4194304], [-527729/1048576, -1055457/2097152]]]], [[1, 17, 
11, 5, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-\
1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [2, 2], [-9450993/4194304, -9450993/
4194304], [-1/4194304, -1/4194304]]]], [[1, 17, 11, 5, 4], [v < -2^(1/2), And(
-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [-\
9450993/4194304, -9450993/4194304], [32983/65536, 527729/1048576]]]], [[1, 17,
11, 5, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-\
1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [2, 2], [-9450993/4194304, -9450993/4194304], [2, 2]]]], [[1,
19, 10, 8, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1,
y = 0, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[1, 1], [0, 0], [0, 0]]]], [[2, 3, 9, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), And(u^2-3 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [1, 1], [0, 0]]]], [[2, 5, 9, 3, 1], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [-3
, -3]]]], [[2, 5, 9, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,
x < 1), And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1/2,
1/2], [-25165827/16777216, -25165827/16777216], [-1048577/1048576, -1]]]], [[2
, 5, 9, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(-
u^2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [0, 0]
]]], [[2, 5, 9, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1
), And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1/2,
1/2], [-25165827/16777216, -25165827/16777216], [1, 1048577/1048576]]]], [[2,
5, 9, 3, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^
2-x+1 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-25165827/
16777216, -25165827/16777216], [3, 3]]]], [[2, 5, 11, 4, 1], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), 1 < x, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-1323961/524288, -5295843/2097152], [-2, -2]]]], [[
2, 5, 11, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y = u^2-x-3, z
= -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-1323961/524288, -5295843/2097152
], [-379975/524288, -1519899/2097152]]]], [[2, 5, 11, 4, 3], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2
+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [2, 2], [-1323961/524288, -5295843/2097152], [-1/
4194304, -1/4194304]]]], [[2, 5, 11, 4, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), 1 < x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
1323961/524288, -5295843/2097152], [759949/1048576, 379975/524288]]]], [[2, 5,
11, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y = u^2-x-3, (-u^2+3
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [2, 2], [-1323961/524288, -5295843/2097152], [2, 2
]]]], [[2, 8, 1, 3, 1], [v = -2^(1/2), u = -1, x < -2, And(0 < y,y < -x-2), z
< -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1
], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[2, 8, 1, 3, 2], [v = -2^(1/2), u = -1,
x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [1/2, 1/2], [-3315889/2097152, -\
207243/131072]]]], [[2, 8, 1, 3, 3], [v = -2^(1/2), u = -1, x < -2, And(0 < y,
y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [1/2, 1/2], [0, 0]]]], [
[2, 8, 1, 3, 4], [v = -2^(1/2), u = -1, x < -2, And(0 < y,y < -x-2), z = (-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3,
-3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[2, 8, 1, 3, 5], [v = -
2^(1/2), u = -1, x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [1/2,
1/2], [3, 3]]]], [[2, 13, 6, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2
+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/
524288], [-1138531/1048576, -569265/524288], [-3, -3]]]], [[2, 13, 6, 2, 2], [
v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -\
569265/524288], [-1302471/1048576, -651235/524288]]]], [[2, 13, 6, 2, 3], [v =
-2^(1/2), And(1 < u,u < -v), x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,
z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [-\
1138531/1048576, -569265/524288], [0, 0]]]], [[2, 13, 6, 2, 4], [v = -2^(1/2),
And(1 < u,u < -v), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -569265/524288
], [651235/524288, 1302471/1048576]]]], [[2, 13, 6, 2, 5], [v = -2^(1/2), And(
1 < u,u < -v), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
479311/1048576, -239655/524288], [-1138531/1048576, -569265/524288], [3, 3]]]]
, [[2, 15, 7, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x <
0), And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-275385
/1048576, -275385/1048576], [-773191/1048576, -773191/1048576], [-2, -2]]]], [
[2, 15, 7, 3, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0)
, And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-275385
/1048576, -275385/1048576], [-773191/1048576, -773191/1048576], [-1, -1]]]], [
[2, 15, 7, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0)
, And(-u^2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-773191/1048576, -773191/
1048576], [0, 0]]]], [[2, 15, 7, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-773191/1048576, -773191/
1048576], [1, 1]]]], [[2, 15, 7, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-773191/1048576, -773191/
1048576], [2, 2]]]], [[2, 19, 6, 1, 1], [v = -2^(1/2), 2 < u, x = 0, y < -u^2+
1, z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [0, 0], [-9, -9], [-4, -4]]]], [[2, 19, 6, 1, 2], [v = -2^(1/2), 2 < u, x
= 0, y < -u^2+1, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3, 3], [0, 0], [-9, -9], [-3, -3]]]], [[2, 19, 6, 1, 3], [v = -2^(1
/2), 2 < u, x = 0, y < -u^2+1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [-9, -9],
[0, 0]]]], [[2, 19, 6, 1, 4], [v = -2^(1/2), 2 < u, x = 0, y < -u^2+1, z = (-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0],
[-9, -9], [3, 3]]]], [[2, 19, 6, 1, 5], [v = -2^(1/2), 2 < u, x = 0, y < -u^2+
1, (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [0, 0], [-9, -9], [4, 4]]]], [[3, 2, 1, 4, 1], [And(-2^(1/2) < v,v < -1), u
= -(v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1
, 1], [-3, -3]]]], [[3, 2, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(
1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1, 1], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 2, 1, 4, 3], [And(-2^(1/2) < v,v <
-1), u = -(v^2+2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[3, 2, 1, 4,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[3,
2, 1, 4, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = -x-3,
3^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297
/2097152, -7798593/4194304], [-4, -4], [1, 1], [3, 3]]]], [[3, 7, 8, 1, 1], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1,
z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [0, 0], [-3, -3], [-3, -3]]]], [[3, 7, 8,
1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^
2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[3, 7, 8, 1, 3], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (
-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[3
, 7, 8, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0
, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-3, -3], [908093/
524288, 1816187/1048576]]]], [[3, 7, 8, 1, 5], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-3, -3], [3, 3]]]], [[3, 9, 7, 4, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2
-1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [239655/1048576, 239655/1048576], [-239655/1048576, -239655/1048576], [-\
1, -1]]]], [[3, 9, 7, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/
1048576], [-239655/1048576, -239655/1048576], [0, 0]]]], [[3, 9, 7, 4, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x
,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [239655/1048576, 239655/1048576], [-239655/1048576, -239655
/1048576], [1, 1]]]], [[3, 17, 6, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1
/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [-8957873/2097152, -\
8957873/2097152], [-4, -4]]]], [[3, 17, 6, 3, 2], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [-\
8957873/2097152, -8957873/2097152], [-2167143/1048576, -1083571/524288]]]], [[
3, 17, 6, 3, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, And(-u^2
+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [-8957873/2097152, -\
8957873/2097152], [0, 0]]]], [[3, 17, 6, 3, 4], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [-\
8957873/2097152, -8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[3,
17, 6, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^
2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [0, 0], [-8957873/2097152, -8957873/2097152], [4, 4]]]], [[4
, 2, 1, 6, 1], [v = -1, u = -3^(1/2), x < -3, y = -x, z < 0], [regular_chain,
[[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [4, 4], [-1, -1]]]]
, [[4, 2, 1, 6, 2], [v = -1, u = -3^(1/2), x < -3, y = -x, z = 0], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [4,
4], [0, 0]]]], [[4, 2, 1, 6, 3], [v = -1, u = -3^(1/2), x < -3, y = -x, 0 < z]
, [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [
4, 4], [1, 1]]]], [[4, 7, 8, 5, 1], [v = -1, And(-1 < u,u < 0), x = 0, And(-u^
2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0
], [-1/8, -1/8], [-2, -2]]]], [[4, 7, 8, 5, 2], [v = -1, And(-1 < u,u < 0), x
= 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2,
-1/2], [0, 0], [-1/8, -1/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 8, 5
, 3], [v = -1, And(-1 < u,u < 0), x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1/8,
-1/8], [0, 0]]]], [[4, 7, 8, 5, 4], [v = -1, And(-1 < u,u < 0), x = 0, And(-u^
2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0]
, [-1/8, -1/8], [370727/1048576, 46341/131072]]]], [[4, 7, 8, 5, 5], [v = -1,
And(-1 < u,u < 0), x = 0, And(-u^2 < y,y < 0), (-y)^(1/2) < z], [regular_chain
, [[-1, -1], [-1/2, -1/2], [0, 0], [-1/8, -1/8], [2, 2]]]], [[4, 9, 7, 8, 1],
[v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -x, z < 0], [regular_chain
, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [1/8, 1/8], [-1, -1]]]], [[4, 9, 7, 8,
2], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [1/8, 1/8], [0, 0]]]], [[4
, 9, 7, 8, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [1/8, 1/8], [1, 1]]]], [[
4, 13, 10, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^2-1, z
< -u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1],
[-1821767/524288, -3643533/1048576], [-3, -3]]]], [[4, 13, 10, 2, 2], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^2-1, z = -u], [regular_chain, [[-1
, -1], [3299097/2097152, 3299097/2097152], [1, 1], [-1821767/524288, -3643533/
1048576], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 10, 2, 3], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^2-1, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [-\
1821767/524288, -3643533/1048576], [-1/4194304, -1/4194304]]]], [[4, 13, 10, 2
, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^2-1, z = u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [-\
1821767/524288, -3643533/1048576], [412387/262144, 1649549/1048576]]]], [[4, 
13, 10, 2, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^2-1, u < z
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [-\
1821767/524288, -3643533/1048576], [3, 3]]]], [[4, 15, 7, 5, 1], [v = -1, 3^(1
/2) < u, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1
], [3, 3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[5, 5, 8, 6, 1], [And(-1 < v,
v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = 0, z < 0], [regular_chain, [
[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [0, 0], [-1, -1]]]
], [[5, 5, 8, 6, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0,
y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [0, 0], [0, 0], [0, 0]]]], [[5, 5, 8, 6, 3], [And(-1 < v,v < 0), And
(-(v^2+1)^(1/2) < u,u < v), x = 0, y = 0, 0 < z], [regular_chain, [[-1/2, -1/2
], [-1696631/2097152, -1696631/2097152], [0, 0], [0, 0], [1, 1]]]], [[5, 7, 9,
7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(-x < y,y <
0), z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-1/4, -1/4], [
0, 0]]]], [[5, 7, 11, 6, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y =
-x, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-2, -2], [-1, -1]]
]], [[5, 7, 11, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = -x, z
= 0], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-2, -2], [0, 0]]]], [[5,
7, 11, 6, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[5, 10, 1,
5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-3, -3], [2, 2], [-2, -2]]]], [[5, 10, 1, 5, 2], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [2,
2], [-1, -1]]]], [[5, 10, 1, 5, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x <
-2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [2,
2], [0, 0]]]], [[5, 10, 1, 5, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -\
2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3, -3], [2, 2], [1, 1]]]], [[5, 10, 1, 5, 5
], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072],
[-3, -3], [2, 2], [2, 2]]]], [[6, 2, 2, 6, 1], [v = 0, u = -2^(1/2), x = -3, y
= 4, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3,
-3], [4, 4], [0, 0]]]], [[6, 3, 11, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1
< x, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [2, 2], [-4673615/1048576, -2336807/524288], [-3,
-3]]]], [[6, 3, 11, 2, 2], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x
-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [2, 2], [-4673615/1048576, -2336807/524288], [-410915/262144, -\
3287319/2097152]]]], [[6, 3, 11, 2, 3], [v = 0, And(-2^(1/2) < u,u < -1), 1 <
x, y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [
[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [-4673615/1048576, -\
2336807/524288], [-1/4194304, -1/4194304]]]], [[6, 3, 11, 2, 4], [v = 0, And(-
2^(1/2) < u,u < -1), 1 < x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain,
[[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [-4673615/1048576, -\
2336807/524288], [1643659/1048576, 410915/262144]]]], [[6, 3, 11, 2, 5], [v =
0, And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
4673615/1048576, -2336807/524288], [3, 3]]]], [[6, 8, 2, 5, 1], [v = 0, u = 1,
x = -2, 2 < y, z = z], [regular_chain, [[0, 0], [1, 1], [-2, -2], [3, 3], [0,
0]]]], [[6, 10, 1, 6, 1], [v = 0, u = 2^(1/2), x < -3, y = -x, z < 0], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [4, 4], [-\
1, -1]]]], [[6, 10, 1, 6, 2], [v = 0, u = 2^(1/2), x < -3, y = -x, z = 0], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [4, 4], [0
, 0]]]], [[6, 10, 1, 6, 3], [v = 0, u = 2^(1/2), x < -3, y = -x, 0 < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [4, 4], [1
, 1]]]], [[7, 3, 11, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [2, 2], [1, 1], [0, 0]]]], [[7, 5, 11, 3, 1], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^
2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152
, -1696631/2097152], [2, 2], [-3, -3], [-2, -2]]]], [[7, 5, 11, 3, 2], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^
2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152
, -1696631/2097152], [2, 2], [-3, -3], [-1, -1]]]], [[7, 5, 11, 3, 3], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^
2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1
/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-3, -3], [0, 0]]]], [[7, 5
, 11, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^
2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-1696631/2097152, -1696631/2097152], [2, 2], [-3, -3], [1, 1]]]], [[7, 5, 
11, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^2+
v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [2, 2], [-3, -3], [2, 2]]]], [[8, 1, 1,
2, 1], [v = 1, u < -3^(1/2), x < -u^2, y = 0, z < -(-x)^(1/2)], [regular_chain
, [[1, 1], [-3, -3], [-10, -10], [0, 0], [-5, -5]]]], [[8, 1, 1, 2, 2], [v = 1
, u < -3^(1/2), x < -u^2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-\
3, -3], [-10, -10], [0, 0], [-3315889/1048576, -207243/65536]]]], [[8, 1, 1, 2
, 3], [v = 1, u < -3^(1/2), x < -u^2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2
))], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [0, 0], [0, 0]]]], [[8, 1,
1, 2, 4], [v = 1, u < -3^(1/2), x < -u^2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [0, 0], [207243/65536, 3315889/
1048576]]]], [[8, 1, 1, 2, 5], [v = 1, u < -3^(1/2), x < -u^2, y = 0, (-x)^(1/
2) < z], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [0, 0], [5, 5]]]], [[8
, 2, 7, 1, 1], [v = 1, u = -3^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/
2], [-5, -5], [-4, -4]]]], [[8, 2, 7, 1, 2], [v = 1, u = -3^(1/2), And(0 < x,x
< 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576
, -3632373/2097152], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]
]]], [[8, 2, 7, 1, 3], [v = 1, u = -3^(1/2), And(0 < x,x < 1), y < -x-3, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-5, -5], [0, 0]]]], [[8, 2, 7, 1, 4],
[v = 1, u = -3^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5,
-5], [2224365/1048576, 1112183/524288]]]], [[8, 2, 7, 1, 5], [v = 1, u = -3^(1
/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5, -5], [4, 4]]]], [[8, 8,
3, 6, 1], [v = 1, u = 0, And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [
[1, 1], [0, 0], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[8, 8, 3, 6, 2], [v =
1, u = 0, And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[1, 1], [0, 0],
[-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[8, 8, 3, 6, 3], [v = 1, u = 0, And(-2 <
x,x < -1), y = -x, 0 < z], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [3/2
, 3/2], [1, 1]]]], [[8, 10, 2, 1, 1], [v = 1, u = 1, x = -1, y < 0, z < -(1-y)
^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1], [-3, -3]]]], [[8
, 10, 2, 1, 2], [v = 1, u = 1, x = -1, y < 0, z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1], [-1482911/1048576, -741455
/524288]]]], [[8, 10, 2, 1, 3], [v = 1, u = 1, x = -1, y < 0, And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1], [0
, 0]]]], [[8, 10, 2, 1, 4], [v = 1, u = 1, x = -1, y < 0, z = (1-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[8, 10, 2, 1, 5], [v = 1, u = 1, x = -1, y < 0, (1-y)^(1/2) < z]
, [regular_chain, [[1, 1], [1, 1], [-1, -1], [-1, -1], [3, 3]]]], [[8, 14, 4,
8, 1], [v = 1, u = 3^(1/2), x = -1, y = 2, z = z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-1, -1], [2, 2], [0, 0]]]], [[9, 1, 1, 7, 1]
, [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-x < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3
, -3], [-10, -10], [27832241/2097152, 27832241/2097152], [0, 0]]]], [[9, 6, 3,
7, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[9, 8, 4, 4, 1], [And(1 <
v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1
], [0, 0], [-2, -2]]]], [[9, 8, 4, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [0, 0], [-1, -1]]]], [
[9, 8, 4, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [0, 0], [0, 0]]]], [[9, 8, 4, 4, 4
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [0, 0], [1, 1]]]], [[9, 8, 4, 4, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [0, 0
], [2, 2]]]], [[9, 8, 8, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [1, 1], [-4, -4], [-3, -3]]]], [
[9, 8, 8, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y < -3, z
= -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 8, 8, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1
], [-4, -4], [-1/4194304, -1/4194304]]]], [[9, 8, 8, 1, 4], [And(1 < v,v < 2^(
1/2)), u = -(v^2-1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1]
, [-4, -4], [908093/524288, 1816187/1048576]]]], [[9, 8, 8, 1, 5], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [-4, -4], [3, 3]]]], [[9, 10, 6, 3, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-1, -1], [-2, -2]]]], [[9, 10, 6, 3, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-1, -1], [-1, -1]]]], [[9, 10, 6, 3, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-
y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [0, 0], [-1, -1], [0, 0]]]], [[9, 10, 6, 3, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [0, 0], [-1, -1], [1, 1]]]], [[9, 10, 6, 3, 5], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[9, 16, 3, 3, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[9, 16, 3, 3, 2], [And
(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0
), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -\
207243/131072]]]], [[9, 16, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[9, 16, 3, 3, 4], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [-1/2, -1/2], [207243/131072, 
1657945/1048576]]]], [[9, 16, 3, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[9, 17, 11, 2, 1], [And(1 < v,v
< 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8]
, [-8673241/524288, -17346481/1048576], [-4, -4]]]], [[9, 17, 11, 2, 2], [And(
1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3]
, [8, 8], [-8673241/524288, -17346481/1048576], [-1532401/524288, -24518415/
8388608]]]], [[9, 17, 11, 2, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u
^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-\
8673241/524288, -17346481/1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 11
, 2, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v
^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [8, 8], [-8673241/524288, -17346481/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 17, 11, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2
+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-8673241/
524288, -17346481/1048576], [4, 4]]]], [[10, 4, 8, 2, 1], [v = 2^(1/2), u = -3
^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [-3, -3], [-3, -3]]]]
, [[10, 4, 8, 2, 2], [v = 2^(1/2), u = -3^(1/2), x = 1, y = -3, z = -2^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[10, 4, 8
, 2, 3], [v = 2^(1/2), u = -3^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-3, -3], [0, 0]]]], [[10, 4, 8, 2, 4], [v = 2^(1/2)
, u = -3^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [-3, -3], [
741455/524288, 1482911/1048576]]]], [[10, 4, 8, 2, 5], [v = 2^(1/2), u = -3^(1
/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [-3, -3], [3, 3]]]], [
[10, 6, 6, 6, 1], [v = 2^(1/2), u = -v, x = 1, y = 0, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1, 1],
[0, 0], [0, 0]]]], [[10, 12, 1, 4, 1], [v = 2^(1/2), u = 1, x < -2, y = -x-2,
z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3,
-3], [1, 1], [-3, -3]]]], [[10, 12, 1, 4, 2], [v = 2^(1/2), u = 1, x < -2, y =
-x-2, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[10, 12, 1, 4, 3],
[v = 2^(1/2), u = 1, x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [1, 1], [0
, 0]]]], [[10, 12, 1, 4, 4], [v = 2^(1/2), u = 1, x < -2, y = -x-2, z = 2^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [1, 1
], [741455/524288, 1482911/1048576]]]], [[10, 12, 1, 4, 5], [v = 2^(1/2), u =
1, x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3, -3], [1, 1], [3, 3]]]], [[10, 13, 11, 3, 1], [v = 2^(1/
2), And(1 < u,u < v), 1 < x, And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[10, 13, 11, 3, 2], [v = 2^(1/2), 
And(1 < u,u < v), 1 < x, And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-3, -3], [-1, -1]]]], [[10, 13, 11, 3, 3], [v = 2^(1/2), 
And(1 < u,u < v), 1 < x, And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[10, 13, 11,
3, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(u^2-x-3 < y,y < -u^2-x+1), z
= (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-3, -3], [1, 1]]]], [[10, 13, 11, 3, 5], [
v = 2^(1/2), And(1 < u,u < v), 1 < x, And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [2, 2], [-3, -3], [2, 2]]]], [[11, 2, 6, 6, 1], [2^(1/2) < v
, u = -(v^2+2)^(1/2), x = 0, y = 1, z = z], [regular_chain, [[3, 3], [-1738867
/524288, -3477733/1048576], [0, 0], [1, 1], [0, 0]]]], [[11, 4, 4, 4, 1], [2^(
1/2) < v, u = -(v^2+1)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-1, -1], [0, 0], [-2, -2]]]], [[11, 4, 4,
4, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [0, 0], [
-1, -1]]]], [[11, 4, 4, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y = 0
, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-1, -1], [0, 0], [0, 0]]]], [[11, 4, 4, 4, 4], [2^(1/2) < v, u = -(v^
2+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [-3315889/1048576,
-207243/65536], [-1, -1], [0, 0], [1, 1]]]], [[11, 4, 4, 4, 5], [2^(1/2) < v,
u = -(v^2+1)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1, -1], [0, 0], [2, 2]]]], [[11, 10, 1, 8, 1], [2^(
1/2) < v, u = -(v^2-2)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[3, 3]
, [-5548543/2097152, -2774271/1048576], [-4, -4], [5, 5], [0, 0]]]], [[11, 11,
9, 7, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x
< -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [
0, 0], [9/2, 9/2], [7/4, 7/4], [0, 0]]]], [[11, 15, 9, 2, 1], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2
, 1/2], [-2104869/1048576, -526217/262144], [-3, -3]]]], [[11, 15, 9, 2, 2], [
2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [-1287385/1048576, -\
160923/131072]]]], [[11, 15, 9, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v
^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1
/2, 1/2], [-2104869/1048576, -526217/262144], [0, 0]]]], [[11, 15, 9, 2, 4], [
2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [160923/131072, 
1287385/1048576]]]], [[11, 15, 9, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-\
2104869/1048576, -526217/262144], [3, 3]]]], [[11, 17, 9, 6, 1], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, z < 0], [regular_chain
, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]
]], [[11, 17, 9, 6, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,
x < 1), y = -x, z = 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072
], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 17, 9, 6, 3], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[
1, 1, 1, 9, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, u^2-v^2-x-1
< y, z = z], [regular_chain, [[-3, -3], [-5, -5], [-18, -18], [34, 34], [0, 0]
]]], [[1, 2, 8, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y
< -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[1, 2, 8, 3, 2], [v < -2
^(1/2), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1, 1], [-5/2,
-5/2], [-1284239/1048576, -642119/524288]]]], [[1, 2, 8, 3, 3], [v < -2^(1/2),
u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1
)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1,
1], [-5/2, -5/2], [0, 0]]]], [[1, 2, 8, 3, 4], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [
-1738867/524288, -3477733/1048576], [1, 1], [-5/2, -5/2], [642119/524288, 
1284239/1048576]]]], [[1, 2, 8, 3, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x =
1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867
/524288, -3477733/1048576], [1, 1], [-5/2, -5/2], [3, 3]]]], [[1, 8, 4, 6, 1],
[v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-3
, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [1, 1], [-1, -1]]]], [
[1, 8, 4, 6, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [1,
1], [0, 0]]]], [[1, 8, 4, 6, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y
= 1, 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-1, -1], [1, 1], [1, 1]]]], [[1, 10, 3, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1
/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-1/
2, -1/2], [-3, -3]]]], [[1, 10, 3, 3, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), 
And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-1/2, -1/2], [-\
3315889/2097152, -207243/131072]]]], [[1, 10, 3, 3, 3], [v < -2^(1/2), u = -(v
^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[1, 10, 3, 3, 4], [v < -2^(1/2),
u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [
-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[1, 10, 3, 3, 5], [v < -2^(
1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2,
-2], [-1/2, -1/2], [3, 3]]]], [[1, 13, 11, 3, 1], [v < -2^(1/2), And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-\
1706123/524288, -1706123/524288], [-3, -3]]]], [[1, 13, 11, 3, 2], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [2, 2], [-1706123/524288, -1706123/524288], [-1174299/1048576, -\
587149/524288]]]], [[1, 13, 11, 3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288],
[2, 2], [-1706123/524288, -1706123/524288], [0, 0]]]], [[1, 13, 11, 3, 4], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [2, 2], [-1706123/524288, -1706123/524288], [587149/524288, 
1174299/1048576]]]], [[1, 13, 11, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-1706123/
524288, -1706123/524288], [3, 3]]]], [[1, 15, 10, 6, 1], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1, 1], [-1, -1], [-1, -1]]]], [[1, 15, 10,
6, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -1, z = 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-1, -1]
, [0, 0]]]], [[1, 15, 10, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1, 1], [-1, -1], [1, 1]]]], [[1, 21, 6, 1, 1], [v < -2^(1/2), (v^2+
2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-3, -\
3], [5, 5], [0, 0], [-18, -18], [-6, -6]]]], [[1, 21, 6, 1, 2], [v < -2^(1/2),
(v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[
-3, -3], [5, 5], [0, 0], [-18, -18], [-1112183/262144, -4448731/1048576]]]], [
[1, 21, 6, 1, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, And
(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [0, 0],
[-18, -18], [0, 0]]]], [[1, 21, 6, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x
= 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0, 0
], [-18, -18], [4448731/1048576, 1112183/262144]]]], [[1, 21, 6, 1, 5], [v < -
2^(1/2), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [-18, -18], [6, 6]]]], [[2, 2, 1, 4,
1], [v = -2^(1/2), u = -2, x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [1, 1], [-3, -3]]]], [[
2, 2, 1, 4, 2], [v = -2^(1/2), u = -2, x < -3, y = -x-3, z = -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [1, 1]
, [-1816187/1048576, -3632373/2097152]]]], [[2, 2, 1, 4, 3], [v = -2^(1/2), u
= -2, x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [1, 1], [-1/4194304, -1/
4194304]]]], [[2, 2, 1, 4, 4], [v = -2^(1/2), u = -2, x < -3, y = -x-3, z = 3^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4
], [1, 1], [908093/524288, 1816187/1048576]]]], [[2, 2, 1, 4, 5], [v = -2^(1/2
), u = -2, x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [-4, -4], [1, 1], [3, 3]]]], [[2, 9, 11, 6, 1], [v
= -2^(1/2), And(-1 < u,u < 0), 1 < x, y = -u^2-x+1, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-5/4, -5/4], [0, 0]]
]], [[2, 11, 9, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1),
y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [-3, -3]]]], [[2, 11, 9, 2,
2], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = u^2-x-3, z = -
(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/
2], [7/8, 7/8], [-29/8, -29/8], [-1738867/1048576, -3477733/2097152]]]], [[2,
11, 9, 2, 3], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = u^2-
x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [-1/4194304,
-1/4194304]]]], [[2, 11, 9, 2, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1
< x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [869433/
524288, 1738867/1048576]]]], [[2, 11, 9, 2, 5], [v = -2^(1/2), And(0 < u,u < 1
), And(-u^2+1 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [3,
3]]]], [[2, 17, 6, 4, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y = 0,
z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152,
3913339/2097152], [0, 0], [0, 0], [-1, -1]]]], [[2, 17, 6, 4, 2], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), x = 0, y = 0, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0], [0, 0],
[0, 0]]]], [[2, 17, 6, 4, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y
= 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [0, 0], [0, 0], [1, 1]]]], [[2, 19, 3, 9, 1], [v =
-2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), u^2-x-3 < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [12, 12], [0, 0]]]]
, [[3, 3, 9, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [1, 1], [0, 0]]]], [[3, 5, 9, 3, 1], [And(-2^
(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2],
[-25165829/16777216, -25165829/16777216], [-3, -3]]]], [[3, 5, 9, 3, 2], [And(
-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2],
[-25165829/16777216, -25165829/16777216], [-1048577/1048576, -1]]]], [[3, 5, 9
, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-25165829/16777216, -25165829/
16777216], [0, 0]]]], [[3, 5, 9, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1
)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [-25165829/16777216, -25165829
/16777216], [1, 1048577/1048576]]]], [[3, 5, 9, 3, 5], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-25165829/
16777216, -25165829/16777216], [3, 3]]]], [[3, 11, 6, 5, 1], [And(-2^(1/2) < v
,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2
+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[450371/2097152, 450371/2097152], [-2, -2]]]], [[3, 11, 6, 5, 2], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^
2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [450371/2097152, 450371/2097152], [-485927/1048576, -242963/524288]]
]], [[3, 11, 6, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v
), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z <
(u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [450371/
2097152, 450371/2097152], [0, 0]]]], [[3, 11, 6, 5, 4], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1),
z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [
450371/2097152, 450371/2097152], [242963/524288, 485927/1048576]]]], [[3, 11,
6, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v
^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593
/262144, -450371/1048576], [450371/2097152, 450371/2097152], [2, 2]]]], [[3, 
13, 7, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^
2-v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/
524288, -139585/524288], [0, 0], [-2, -2]]]], [[3, 13, 7, 6, 2], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [0, 0], [
-1082093/2097152, -270523/524288]]]], [[3, 13, 7, 6, 3], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, And(-(-x)
^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [0, 0], [0, 0]]]], [[3, 13, 7, 6, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [0, 0], [270523/524288, 
541047/1048576]]]], [[3, 13, 7, 6, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [0, 0], [2, 2]]]], [[3, 13
, 9, 8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(0 <
x,x < 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 15,
9, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [-3374389/1048576, -843597/262144],
[-3, -3]]]], [[3, 15, 9, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [775271/1048576, 775271/1048576], [-3374389/1048576, -\
843597/262144], [-3301741/2097152, -825435/524288]]]], [[3, 15, 9, 2, 3], [And
(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1
< x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [775271/1048576, 775271/1048576], [-3374389/1048576, -843597/
262144], [0, 0]]]], [[3, 15, 9, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-3374389/
1048576, -843597/262144], [825435/524288, 1650871/1048576]]]], [[3, 15, 9, 2,
5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u
^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [775271
/1048576, 775271/1048576], [-3374389/1048576, -843597/262144], [3, 3]]]], [[4,
3, 8, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(-2*u^2+2
< y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-14362287/
8388608, -14362287/8388608], [-3, -3]]]], [[4, 3, 8, 3, 2], [v = -1, And(-3^(1
/2) < u,u < -2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2
)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [-14362287/8388608, -14362287/8388608], [-\
145801/131072, -1166407/1048576]]]], [[4, 3, 8, 3, 3], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+2)^(1/2
) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [248903/524288, 497807/1048576], [-14362287/8388608, -\
14362287/8388608], [0, 0]]]], [[4, 3, 8, 3, 4], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288
, 497807/1048576], [-14362287/8388608, -14362287/8388608], [1166407/1048576, 
145801/131072]]]], [[4, 3, 8, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/
1048576], [-14362287/8388608, -14362287/8388608], [3, 3]]]], [[4, 5, 7, 6, 1],
[v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = 0, z < -(-x)^(1/2
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [0, 0], [-2, -2]]]], [[4, 5, 7, 6, 2], [v = -1, And
(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [0, 0], [-273157/524288, -1092627/2097152]]]], [[4,
5, 7, 6, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0], [-1/
4194304, -1/4194304]]]], [[4, 5, 7, 6, 4], [v = -1, And(-2^(1/2) < u,u < -1),
And(u^2-2 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0]
, [546313/1048576, 273157/524288]]]], [[4, 5, 7, 6, 5], [v = -1, And(-2^(1/2)
< u,u < -1), And(u^2-2 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/
2097152], [0, 0], [2, 2]]]], [[4, 9, 9, 9, 1], [v = -1, And(0 < u,u < 1), And(
0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [1/2, 1/2]
, [1, 1], [0, 0]]]], [[4, 11, 10, 8, 1], [v = -1, And(1 < u,u < 2^(1/2)), x =
1, y = 0, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [1, 1], [0, 0], [0, 0]]]], [[5, 1, 11, 9, 1], [And(-1 < v,v < 0), u < -(v^2
+2)^(1/2), u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [9, 9], [1, 1], [0, 0]]]], [[5, 3, 9, 5, 1], [And(-1 < v,v < 0), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-x < y,y < u^
2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [1534619/2097152, 1534619/2097152], [-2097155/4194304, -2097155/
4194304], [0, 0]]]], [[5, 11, 11, 8, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [2, 2], [0, 0], [0, 0]]]], [[5, 13, 9, 2, 1], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x
-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/
8], [-113/8, -113/8], [-5, -5]]]], [[5, 13, 9, 2, 2], [And(-1 < v,v < 0), (v^2
+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-113/8, -113/8], [
-1637089/524288, -3274177/1048576]]]], [[5, 13, 9, 2, 3], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [
35/8, 35/8], [-113/8, -113/8], [0, 0]]]], [[5, 13, 9, 2, 4], [And(-1 < v,v < 0
), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-113/8, -113
/8], [3274177/1048576, 1637089/524288]]]], [[5, 13, 9, 2, 5], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-113/8, -\
113/8], [5, 5]]]], [[6, 5, 10, 5, 1], [v = 0, And(-1 < u,u < 0), x = 1, And(u^
2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1
, 1], [-11/8, -11/8], [-2, -2]]]], [[6, 5, 10, 5, 2], [v = 0, And(-1 < u,u < 0
), x = 1, And(u^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[0, 0],
[-1/2, -1/2], [1, 1], [-11/8, -11/8], [-1284239/2097152, -642119/1048576]]]],
[[6, 5, 10, 5, 3], [v = 0, And(-1 < u,u < 0), x = 1, And(u^2-2 < y,y < -1), 
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2
], [1, 1], [-11/8, -11/8], [0, 0]]]], [[6, 5, 10, 5, 4], [v = 0, And(-1 < u,u
< 0), x = 1, And(u^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[0, 0]
, [-1/2, -1/2], [1, 1], [-11/8, -11/8], [642119/1048576, 80265/131072]]]], [[6
, 5, 10, 5, 5], [v = 0, And(-1 < u,u < 0), x = 1, And(u^2-2 < y,y < -1), (-y-1
)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-11/8, -11/8], [
2, 2]]]], [[6, 7, 11, 4, 1], [v = 0, And(0 < u,u < 1), 1 < x, y = u^2-x-1, z <
-(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-11/4, -11/4],
[-2, -2]]]], [[6, 7, 11, 4, 2], [v = 0, And(0 < u,u < 1), 1 < x, y = u^2-x-1,
z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-11/4, -11
/4], [-1816187/2097152, -3632373/4194304]]]], [[6, 7, 11, 4, 3], [v = 0, And(0
< u,u < 1), 1 < x, y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))],
[regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-11/4, -11/4], [-1/8388608, -1/
8388608]]]], [[6, 7, 11, 4, 4], [v = 0, And(0 < u,u < 1), 1 < x, y = u^2-x-1,
z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-11/4, -11/
4], [908093/1048576, 454047/524288]]]], [[6, 7, 11, 4, 5], [v = 0, And(0 < u,u
< 1), 1 < x, y = u^2-x-1, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2,
1/2], [2, 2], [-11/4, -11/4], [2, 2]]]], [[6, 11, 9, 9, 1], [v = 0, 2^(1/2) <
u, And(1 < x,x < u^2-1), u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [3, 3],
[9/2, 9/2], [5, 5], [0, 0]]]], [[7, 2, 5, 3, 1], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]
]]], [[7, 2, 5, 3, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0
), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2
, -3/2], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[7,
2, 5, 3, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-\
3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2,
1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[7, 2, 5, 3, 4], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-\
5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[7, 2, 5, 3, 5], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/4, -5/4], [3,
3]]]], [[7, 8, 1, 2, 1], [And(0 < v,v < 1), u = v, x < -1, y = 0, z < -(-x)^(1
/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [0, 0], [-3, -3]]]],
[[7, 8, 1, 2, 2], [And(0 < v,v < 1), u = v, x < -1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[7, 8, 1, 2, 3], [And(0 < v,v < 1), u = v, x < -1, y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[-2, -2], [0, 0], [0, 0]]]], [[7, 8, 1, 2, 4], [And(0 < v,v < 1), u = v, x < -\
1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2],
[0, 0], [741455/524288, 1482911/1048576]]]], [[7, 8, 1, 2, 5], [And(0 < v,v <
1), u = v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2,
1/2], [-2, -2], [0, 0], [3, 3]]]], [[7, 10, 2, 3, 1], [And(0 < v,v < 1), u = (
v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2], [1, 1], [-2, -2]]]], [[7
, 10, 2, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2)
, z = -(2-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-2, -2], [1, 1], [-1, -1]]]], [[7, 10, 2, 3, 3], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1
/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2]
, [1, 1], [0, 0]]]], [[7, 10, 2, 3, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2),
x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-2, -2], [1, 1], [1, 1]]]], [[7, 10, 2, 3, 5
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2],
[1, 1], [2, 2]]]], [[7, 10, 5, 4, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[7, 10, 5
, 4, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = -
(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-\
1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[7, 10, 5, 4, 3],
[And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2
) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1/2, -1/2], [0, 0], [0, 0]]]], [[7, 10, 5, 4, 4], [And(0 < v,v < 1)
, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [0, 0], [741455
/1048576, 46341/65536]]]], [[7, 10, 5, 4, 5], [And(0 < v,v < 1), u = (v^2+1)^(
1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-1/2, -1/2], [0, 0], [2, 2]]]], [[7, 12, 3,
4, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(
-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [0, 0], [-3, -3
]]]], [[7, 12, 3, 4, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x <
-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2
], [0, 0], [-1482911/1048576, -741455/524288]]]], [[7, 12, 3, 4, 3], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [0, 0], [0,
0]]]], [[7, 12, 3, 4, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x <
-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2]
, [0, 0], [741455/524288, 1482911/1048576]]]], [[7, 12, 3, 4, 5], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [0, 0], [3, 3]]]], [[8, 4, 3
, 4, 1], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [0,
0], [-3, -3]]]], [[8, 4, 3, 4, 2], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[8, 4,
3, 4, 3], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z
,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288]
, [-3/2, -3/2], [0, 0], [0, 0]]]], [[8, 4, 3, 4, 4], [v = 1, u = -2^(1/2), And
(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/
1048576]]]], [[8, 4, 3, 4, 5], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y = 0
, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288]
, [-3/2, -3/2], [0, 0], [3, 3]]]], [[8, 6, 1, 6, 1], [v = 1, u = -1, x < -1, y
= -x, z < 0], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [2, 2], [-1, -1]]]]
, [[8, 6, 1, 6, 2], [v = 1, u = -1, x < -1, y = -x, z = 0], [regular_chain, [[
1, 1], [-1, -1], [-2, -2], [2, 2], [0, 0]]]], [[8, 6, 1, 6, 3], [v = 1, u = -1
, x < -1, y = -x, 0 < z], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [2, 2],
[1, 1]]]], [[8, 10, 5, 7, 1], [v = 1, u = 1, And(0 < x,x < 1), 0 < y, z = z],
[regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [1, 1], [0, 0]]]], [[8, 12, 6, 2,
1], [v = 1, u = 2^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[1, 1]
, [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[8, 12, 6,
2, 2], [v = 1, u = 2^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[1,
1], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1482911/1048576, -\
741455/524288]]]], [[8, 12, 6, 2, 3], [v = 1, u = 2^(1/2), x = 0, y = -2, And(
-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [0, 0]]]], [[8, 12, 6, 2, 4], [v = 1, u = 2^(1/2),
x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[8, 12, 6, 2
, 5], [v = 1, u = 2^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[1, 1
], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [3, 3]]]], [[9, 2, 6, 4
, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [0, 0], [-1, -1]]]], [[9, 2, 6, 4, 2], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0
], [0, 0], [0, 0]]]], [[9, 2, 6, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^
(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [0, 0], [1, 1]]]], [[9
, 4, 4, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = -1, z
< -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-1, -1], [-1, -1], [-3, -3]]]], [[9, 4, 4, 2, 2],
[And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[9, 4, 4
, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = -1, And(-2^(
1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-410915/262144, -3287319/2097152], [-1, -1], [-1, -1], [0, 0]]]], [[9, 4, 4, 2
, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = -1, z = 2^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[9
, 4, 4, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = -1, 2^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-1, -1], [-1, -1], [3, 3]]]], [[9, 12, 6, 3, 1], [
And(1 < v,v < 2^(1/2)), u = v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743
/1048576], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[9, 12, 6, 3, 2], [And(1 < v,v
< 2^(1/2)), u = v, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[9, 
12, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And(-2 < y,y < -1), And(-
(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3/2, -3/2], [0
, 0]]]], [[9, 12, 6, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And(-2 < y,
y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [1265743/1048576, 1265743/1048576], [1, 1], [-3/2, -3/2], [741455/1048576,
46341/65536]]]], [[9, 12, 6, 3, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And
(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3/2, -3/2], [2, 2]]]]
, [[9, 14, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, 0 < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [0, 0], [1, 1], [0, 0]]]], [[10, 2, 6, 7, 1], [v = 2^(1/2), u
= -2, x = 0, 1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [0, 0], [2, 2], [0, 0]]]], [[10, 4, 4, 5, 1], [v = 2^(1/2), u = -3^(
1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [1/2
, 1/2], [-2, -2]]]], [[10, 4, 4, 5, 2], [v = 2^(1/2), u = -3^(1/2), x = -1, 
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [1/2, 1/2], [-\
1482911/2097152, -741455/1048576]]]], [[10, 4, 4, 5, 3], [v = 2^(1/2), u = -3^
(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 4, 4, 5, 4], [v = 2^(1/2), u
= -3^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1, -1
], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[10, 4, 4, 5, 5], [v = 2^(1/
2), u = -3^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1,
-1], [1/2, 1/2], [2, 2]]]], [[10, 8, 8, 4, 1], [v = 2^(1/2), u = -1, x = 1, y
= -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1,
1], [-1, -1], [-1, -1]]]], [[10, 8, 8, 4, 2], [v = 2^(1/2), u = -1, x = 1, y =
-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1
], [-1, -1], [0, 0]]]], [[10, 8, 8, 4, 3], [v = 2^(1/2), u = -1, x = 1, y = -1
, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1],
[-1, -1], [1, 1]]]], [[10, 10, 5, 5, 1], [v = 2^(1/2), u = 0, And(-1 < x,x < 0
), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[10, 10, 5,
5, 2], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2
], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 10, 5, 5, 3], [v = 2^(1/2), u = 0, And(-\
1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [1/4,
1/4], [0, 0]]]], [[10, 10, 5, 5, 4], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [0, 0], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 10, 5, 5, 5]
, [v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [1/
4, 1/4], [2, 2]]]], [[10, 16, 1, 6, 1], [v = 2^(1/2), u = 3^(1/2), x < -2, y =
-x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[10, 16, 1, 6, 2], [v = 2^(1
/2), u = 3^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [3, 3], [0, 0]]]
], [[10, 16, 1, 6, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [3, 3], [1, 1]]]], [[10, 17, 11, 5, 1], [v = 2^(1/2), And(
3^(1/2) < u,u < 2), 1 < x, And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [
-3688837/2097152, -3688837/2097152], [0, 0]]]], [[10, 18, 3, 2, 1], [v = 2^(1/
2), u = 2, And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-1, -1], [-3, -3]]]], [[10
, 18, 3, 2, 2], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = -x-3, z = -3^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-1,
-1], [-1816187/1048576, -3632373/2097152]]]], [[10, 18, 3, 2, 3], [v = 2^(1/2)
, u = 2, And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-1, -1],
[-1/4194304, -1/4194304]]]], [[10, 18, 3, 2, 4], [v = 2^(1/2), u = 2, And(-3 <
x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[
10, 18, 3, 2, 5], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = -x-3, 3^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-1,
-1], [3, 3]]]], [[10, 19, 11, 1, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, y < -u^2-
x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3
, 3], [7, 7], [-16, -16], [-4, -4]]]], [[10, 19, 11, 1, 2], [v = 2^(1/2), 2 <
u, u^2-3 < x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [7, 7], [-16, -16], [-3, -3]]]], [[10, 19, 
11, 1, 3], [v = 2^(1/2), 2 < u, u^2-3 < x, y < -u^2-x+1, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3]
, [7, 7], [-16, -16], [0, 0]]]], [[10, 19, 11, 1, 4], [v = 2^(1/2), 2 < u, u^2
-3 < x, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [7, 7], [-16, -16], [3, 3]]]], [[10, 19, 11, 1, 5],
[v = 2^(1/2), 2 < u, u^2-3 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-16, -16],
[4, 4]]]], [[11, 6, 1, 6, 1], [2^(1/2) < v, u = -v, x < -1, y = -x, z < 0], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [2, 2], [-1, -1]]]], [[11, 6, 1, 6
, 2], [2^(1/2) < v, u = -v, x < -1, y = -x, z = 0], [regular_chain, [[3, 3], [
-3, -3], [-2, -2], [2, 2], [0, 0]]]], [[11, 6, 1, 6, 3], [2^(1/2) < v, u = -v,
x < -1, y = -x, 0 < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [2, 2], [
1, 1]]]], [[11, 8, 2, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, And(0 <
y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [1, 1], [-2, -2]]]], [[11, 8, 2, 3, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [1, 1
], [-1, -1]]]], [[11, 8, 2, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, 
And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [-2, -2], [1, 1], [0, 0]]]], [[11,
8, 2, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z = (
2-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
-2, -2], [1, 1], [1, 1]]]], [[11, 8, 2, 3, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2
), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [1, 1], [2, 2]]]], [[11, 12, 1,
3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [
1/2, 1/2], [-3, -3]]]], [[11, 12, 1, 3, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x
< -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853
/524288]]]], [[11, 12, 1, 3, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(
0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3
, 3], [2774271/1048576, 10837/4096], [-4, -4], [1/2, 1/2], [0, 0]]]], [[11, 12
, 1, 3, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4
], [1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[11, 12, 1, 3, 5], [2^(1/
2) < v, u = (v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [1/2, 1/2], [
3, 3]]]], [[11, 13, 9, 4, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^
(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-1581613
/2097152, -1581613/2097152], [-1, -1]]]], [[11, 13, 9, 4, 2], [2^(1/2) < v, 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, z
= 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [-1581613/2097152, -1581613/2097152], [0, 0]]]], [[
11, 13, 9, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(
-u^2+v^2-1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-1581613/2097152
, -1581613/2097152], [1, 1]]]], [[11, 19, 7, 5, 1], [2^(1/2) < v, And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-x < y,y < 0), z =
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/
524288, 129511/524288], [-129511/1048576, -129511/1048576], [0, 0]]]], [[11, 
21, 4, 4, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y = 0, z < -1], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [0, 0], [-2, -2]]]], [[11, 21, 4, 4,
2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y = 0, z = -1], [regular_chain, [
[3, 3], [5, 5], [-1, -1], [0, 0], [-1, -1]]]], [[11, 21, 4, 4, 3], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3,
3], [5, 5], [-1, -1], [0, 0], [0, 0]]]], [[11, 21, 4, 4, 4], [2^(1/2) < v, (v^
2+2)^(1/2) < u, x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [5, 5], [-1, -\
1], [0, 0], [1, 1]]]], [[11, 21, 4, 4, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x
= -1, y = 0, 1 < z], [regular_chain, [[3, 3], [5, 5], [-1, -1], [0, 0], [2, 2]
]]], [[1, 4, 7, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y
< -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[1, 4, 7, 1, 2], [v < -2^(1
/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-4,
-4], [-7846825/4194304, -980853/524288]]]], [[1, 4, 7, 1, 3], [v < -2^(1/2), u
= -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2,
1/2], [-4, -4], [0, 0]]]], [[1, 4, 7, 1, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2)
, And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [1/2, 1/2], [-4, -4], [980853/524288, 1961707
/1048576]]]], [[1, 4, 7, 1, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x
< 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1/2, 1/2], [-4, -4], [3, 3]]]], [[1, 6, 6, 2, 1], [v
< -2^(1/2), u = v, x = 1, y = -2, z < -1], [regular_chain, [[-3, -3], [-3, -3]
, [1, 1], [-2, -2], [-2, -2]]]], [[1, 6, 6, 2, 2], [v < -2^(1/2), u = v, x = 1
, y = -2, z = -1], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-2, -2], [-1,
-1]]]], [[1, 6, 6, 2, 3], [v < -2^(1/2), u = v, x = 1, y = -2, And(-1 < z,z <
1)], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-2, -2], [0, 0]]]], [[1, 6,
6, 2, 4], [v < -2^(1/2), u = v, x = 1, y = -2, z = 1], [regular_chain, [[-3, -\
3], [-3, -3], [1, 1], [-2, -2], [1, 1]]]], [[1, 6, 6, 2, 5], [v < -2^(1/2), u
= v, x = 1, y = -2, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-2,
-2], [2, 2]]]], [[1, 11, 11, 7, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), -u^2+v^2-1 < x, And(-u^2+v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [-1/2, -1/2], [0, 0]]]], [[1, 13, 9,
3, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152]
, [-8423601/4194304, -8423601/4194304], [-3, -3]]]], [[1, 13, 9, 3, 2], [v < -
2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1),
And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152], [-8423601
/4194304, -8423601/4194304], [-587149/524288, -1174297/1048576]]]], [[1, 13, 9
, 3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2
-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [-8423601/4194304, -8423601/4194304], [0, 0]]]], [[
1, 13, 9, 3, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(
-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [-8423601/4194304, -8423601/4194304], [1174297/1048576, 
587149/524288]]]], [[1, 13, 9, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
1581613/2097152, 1581613/2097152], [-8423601/4194304, -8423601/4194304], [3, 3
]]]], [[1, 17, 11, 4, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x,
y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [-2, -2]
]]], [[1, 17, 11, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x,
y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [-373161
/524288, -1492643/2097152]]]], [[1, 17, 11, 4, 3], [v < -2^(1/2), And(-v < u,u
< (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^
2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
2, 2], [-2628345/1048576, -5256689/2097152], [-1/4194304, -1/4194304]]]], [[1,
17, 11, 4, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^
2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [746321/1048576,
373161/524288]]]], [[1, 17, 11, 4, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(
1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [2, 2], [-2628345/1048576, -5256689/
2097152], [2, 2]]]], [[1, 19, 10, 7, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0), z = z], [regular_chain, [
[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-1061063/4194304, -\
1061063/4194304], [0, 0]]]], [[2, 3, 10, 1, 1], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), x = 1, y < -u^2, z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [-5, -\
5], [-3, -3]]]], [[2, 3, 10, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x
= 1, y < -u^2, z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [-5, -5], [-2, -2]]]],
[[2, 3, 10, 1, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y < -u^2, 
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [-5, -5], [0, 0
]]]], [[2, 3, 10, 1, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y < -
u^2, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3913339/2097152, -3913339/2097152], [1, 1], [-5, -5], [2, 2]]]], [[2, 3, 10,
1, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y < -u^2, (-y-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [1, 1], [-5, -5], [3, 3]]]], [[2, 5, 9, 4, 1], [v = -2^(1/2
), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-x-3, z < -(-u^2+3)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-537529/524288, -1075057/1048576], [-2, -2]]]],
[[2, 5, 9, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y
= u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-537529/524288, -\
1075057/1048576], [-379975/524288, -1519899/2097152]]]], [[2, 5, 9, 4, 3], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-x-3, And(-(-u^2
+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-537529/
524288, -1075057/1048576], [-1/4194304, -1/4194304]]]], [[2, 5, 9, 4, 4], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-x-3, z = (-u^2+3)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [-537529/524288, -1075057/1048576], [
759949/1048576, 379975/524288]]]], [[2, 5, 9, 4, 5], [v = -2^(1/2), And(-3^(1/
2) < u,u < v), And(0 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-537529/524288, -1075057/1048576], [2, 2]]]], [
[2, 5, 11, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(-u^2-x+1
< y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-3, -3], [-2, -\
2]]]], [[2, 5, 11, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(-
u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-3, -\
3], [-1, -1]]]], [[2, 5, 11, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1
< x, And(-u^2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-3, -3], [0, 0]]]], [[2, 5, 11, 3, 4], [v = -2^(1/2
), And(-3^(1/2) < u,u < v), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [2, 2], [-3, -3], [1, 1]]]], [[2, 5, 11, 3, 5], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [2, 2], [-3, -3], [2, 2]]]], [[2, 8, 1, 2, 1], [v = -2^(1
/2), u = -1, x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [0, 0], [-3, -3]]]], [[2, 8, 1,
2, 2], [v = -2^(1/2), u = -1, x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [0, 0], [-1816187/
1048576, -3632373/2097152]]]], [[2, 8, 1, 2, 3], [v = -2^(1/2), u = -1, x < -2
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [0, 0], [-1/4194304, -1/4194304]
]]], [[2, 8, 1, 2, 4], [v = -2^(1/2), u = -1, x < -2, y = 0, z = (-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [0, 0
], [908093/524288, 1816187/1048576]]]], [[2, 8, 1, 2, 5], [v = -2^(1/2), u = -\
1, x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1, -1], [-3, -3], [0, 0], [3, 3]]]], [[2, 13, 6, 3, 1], [v = -2^(1
/2), And(1 < u,u < -v), x = -u^2+1, And(2*u^2-4 < y,y < 0), z < -(u^2-y-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265
/1048576], [-2, -2]]]], [[2, 13, 6, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x
= -u^2+1, And(2*u^2-4 < y,y < 0), z = -(u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311
/1048576, -239655/524288], [-569265/1048576, -569265/1048576], [-2199022958689
/2199023255552, -4398045917377/4398046511104]]]], [[2, 13, 6, 3, 3], [v = -2^(
1/2), And(1 < u,u < -v), x = -u^2+1, And(2*u^2-4 < y,y < 0), And(-(u^2-y-1)^(1
/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288]
, [-569265/1048576, -569265/1048576], [-3600577/8796093022208, -3600577/
8796093022208]]]], [[2, 13, 6, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -u
^2+1, And(2*u^2-4 < y,y < 0), z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311/
1048576, -239655/524288], [-569265/1048576, -569265/1048576], [1048575/1048576
, 1]]]], [[2, 13, 6, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, And(
2*u^2-4 < y,y < 0), (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655
/524288], [-569265/1048576, -569265/1048576], [2, 2]]]], [[2, 15, 7, 4, 1], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, z < -(
-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-137693/524288
, -275385/1048576], [-2, -2]]]], [[2, 15, 7, 4, 2], [v = -2^(1/2), And(-v < u,
u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-137693/524288, -275385/1048576
], [-1519901/2097152, -379975/524288]]]], [[2, 15, 7, 4, 3], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, And(-(-u^2+3)^(1/2
) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
137693/524288, -275385/1048576], [0, 0]]]], [[2, 15, 7, 4, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, z = (-u^2+3)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [-137693/524288, -275385
/1048576], [379975/524288, 759951/1048576]]]], [[2, 15, 7, 4, 5], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, (-u^2+3)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [-137693/524288, -275385
/1048576], [2, 2]]]], [[2, 19, 5, 9, 1], [v = -2^(1/2), 2 < u, And(-1 < x,x <
0), u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-1/2, -1/2], [8, 8], [0, 0]]]], [[3, 2, 1, 3, 1], [And(-2^(1/2) < v,v
< -1), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[3, 2, 1, 3, 2], [And(-2
^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/
524288]]]], [[3, 2, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x
< -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1/2, 1/2], [0, 0]]]], [[3, 2, 1, 3, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/
1048576]]]], [[3, 2, 1, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2),
x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1
/2, 1/2], [3, 3]]]], [[3, 7, 8, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-3293563/2097152, -1646781/1048576], [-3, -3]]]], [
[3, 7, 8, 2, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-3293563/
2097152, -1646781/1048576], [-1314069/1048576, -328517/262144]]]], [[3, 7, 8,
2, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^
2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
0, 0], [-3293563/2097152, -1646781/1048576], [0, 0]]]], [[3, 7, 8, 2, 4], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [0, 0], [-3293563/2097152, -1646781/
1048576], [328517/262144, 1314069/1048576]]]], [[3, 7, 8, 2, 5], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [-3293563/2097152, -1646781/1048576], [3,
3]]]], [[3, 9, 7, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [-239655/2097152, -239655/2097152], [0, 0]]]], [[3, 17, 6, 4,
1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, y = 0, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [0, 0],
[-1, -1]]]], [[3, 17, 6, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
x = 0, y = 0, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [0, 0], [0, 0], [0, 0]]]], [[3, 17, 6, 4, 3], [And(-2^(1/2) < v,v < -1)
, (v^2+2)^(1/2) < u, x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [0, 0], [0, 0], [1, 1]]]], [[4, 2, 1, 7, 1], [v = -\
1, u = -3^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1, -1
], [-1816187/1048576, -3632373/2097152], [-4, -4], [9/2, 9/2], [0, 0]]]], [[4,
7, 8, 4, 1], [v = -1, And(-1 < u,u < 0), x = 0, y = -u^2, z < u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1/4, -1/4], [-2, -2]]]], [[4
, 7, 8, 4, 2], [v = -1, And(-1 < u,u < 0), x = 0, y = -u^2, z = u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1/4, -1/4], [-1/2, -1/2]]]],
[[4, 7, 8, 4, 3], [v = -1, And(-1 < u,u < 0), x = 0, y = -u^2, And(u < z,z < -
u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1/4, -1/4], [0, 0]]]],
[[4, 7, 8, 4, 4], [v = -1, And(-1 < u,u < 0), x = 0, y = -u^2, z = -u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1/4, -1/4], [1/2, 1/2]]]], [
[4, 7, 8, 4, 5], [v = -1, And(-1 < u,u < 0), x = 0, y = -u^2, -u < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1/4, -1/4], [2, 2]]]], [[4,
9, 7, 7, 1], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(0 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [1/
16, 1/16], [-2, -2]]]], [[4, 9, 7, 7, 2], [v = -1, And(0 < u,u < 1), And(-u^2
< x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[1/2, 1/2], [-1/8, -1/8], [1/16, 1/16], [-1/4, -1/4]]]], [[4, 9, 7, 7, 3], [v
= -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8
], [1/16, 1/16], [0, 0]]]], [[4, 9, 7, 7, 4], [v = -1, And(0 < u,u < 1), And(-
u^2 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1
], [1/2, 1/2], [-1/8, -1/8], [1/16, 1/16], [1/4, 1/4]]]], [[4, 9, 7, 7, 5], [v
= -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [1/16, 1/16], [2, 2]]
]], [[4, 13, 10, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(-u^2
-1 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [1, 1], [-4692109/2097152, -4692109/2097152], [-3,
-3]]]], [[4, 13, 10, 3, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(
-u^2-1 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [1, 1], [-4692109/2097152, -4692109/2097152], [-\
1166407/1048576, -583203/524288]]]], [[4, 13, 10, 3, 3], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y
-1)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1
, 1], [-4692109/2097152, -4692109/2097152], [0, 0]]]], [[4, 13, 10, 3, 4], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(-u^2-1 < y,y < -1), z = (-y-1)^
(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1],
[-4692109/2097152, -4692109/2097152], [583203/524288, 1166407/1048576]]]], [[4
, 13, 10, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(-u^2-1 < y,
y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [1, 1], [-4692109/2097152, -4692109/2097152], [3, 3]]]], [[4
, 15, 7, 6, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [0, 0], [0, 0]]]], [[5, 5, 8, 5,
1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [-2, -2]]]],
[[5, 5, 8, 5, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, 
And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [-1248837/4194304, -1248837/
4194304], [-1144335/2097152, -572167/1048576]]]], [[5, 5, 8, 5, 3], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < 0), And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [0,
0]]]], [[5, 5, 8, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x
= 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [0, 0], [-1248837/4194304, -1248837/
4194304], [572167/1048576, 71521/131072]]]], [[5, 5, 8, 5, 5], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0,
0], [-1248837/4194304, -1248837/4194304], [2, 2]]]], [[5, 7, 9, 6, 1], [And(-1
< v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [
[5, 7, 9, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y =
-x, z = 0], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-1/2, -1/2], [
0, 0]]]], [[5, 7, 9, 6, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x
< 1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-1/2
, -1/2], [1, 1]]]], [[5, 7, 11, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2
], [-1, -1], [0, 0]]]], [[5, 10, 1, 6, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/
2), x < -2, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-3, -3], [3, 3], [-1, -1]]]], [[5, 10, 1, 6, 2], [And(-1 < v,
v < 0), u = (v^2+1)^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[-1/2, -1/
2], [1172343/1048576, 146543/131072], [-3, -3], [3, 3], [0, 0]]]], [[5, 10, 1,
6, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [3,
3], [1, 1]]]], [[6, 2, 2, 5, 1], [v = 0, u = -2^(1/2), x = -3, And(3 < y,y < 4
), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -\
3], [7/2, 7/2], [0, 0]]]], [[6, 3, 11, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1)
, 1 < x, y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [2, 2], [-6, -6], [-3, -3]]]], [[6, 3, 11, 1, 2],
[v = 0, And(-2^(1/2) < u,u < -1), 1 < x, y < -u^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [-6, -6]
, [-2, -2]]]], [[6, 3, 11, 1, 3], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, y <
-u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [
-1265743/1048576, -1265743/1048576], [2, 2], [-6, -6], [0, 0]]]], [[6, 3, 11,
1, 4], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, y < -u^2-x-1, z = (-x-y)^(1/2)
], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [-6,
-6], [2, 2]]]], [[6, 3, 11, 1, 5], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, y
< -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-6, -6], [3, 3]]]], [[6, 8, 3, 1, 1], [v = 0, u = 1
, And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1, 1], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[6, 8, 3, 1, 2], [v = 0, u = 1, 
And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1,
1], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[6, 8, 3,
1, 3], [v = 0, u = 1, And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-2, -2], [0, 0
]]]], [[6, 8, 3, 1, 4], [v = 0, u = 1, And(-2 < x,x < -1), y < -x-2, z = (-x-y
)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-2, -2], [980853/
524288, 1961707/1048576]]]], [[6, 8, 3, 1, 5], [v = 0, u = 1, And(-2 < x,x < -\
1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2]
, [-2, -2], [3, 3]]]], [[6, 10, 1, 7, 1], [v = 0, u = 2^(1/2), x < -3, And(-x
< y,y < 1-x), z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576
], [-4, -4], [9/2, 9/2], [0, 0]]]], [[7, 3, 11, 8, 1], [And(0 < v,v < 1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [0, 0], [0, 0]]]], [[7,
5, 11, 2, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u
^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-1784943/524288, -3569885/1048576], [-3,
-3]]]], [[7, 5, 11, 2, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v),
1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [2, 2], [-1784943/524288, -3569885/
1048576], [-19417/16384, -1242687/1048576]]]], [[7, 5, 11, 2, 3], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-1784943/524288, -3569885/1048576], [0, 0
]]]], [[7, 5, 11, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1
< x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-1784943/524288, -3569885/1048576
], [1242687/1048576, 19417/16384]]]], [[7, 5, 11, 2, 5], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2],
[-1784943/524288, -3569885/1048576], [3, 3]]]], [[8, 1, 1, 1, 1], [v = 1, u <
-3^(1/2), x < -u^2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -\
3], [-10, -10], [-1, -1], [-5, -5]]]], [[8, 1, 1, 1, 2], [v = 1, u < -3^(1/2),
x < -u^2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-10,
-10], [-1, -1], [-1738867/524288, -3477733/1048576]]]], [[8, 1, 1, 1, 3], [v =
1, u < -3^(1/2), x < -u^2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [-1, -1], [0, 0]]]], [[8, 1, 1,
1, 4], [v = 1, u < -3^(1/2), x < -u^2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [-1, -1], [3477733/1048576, 
1738867/524288]]]], [[8, 1, 1, 1, 5], [v = 1, u < -3^(1/2), x < -u^2, y < 0, (
-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [-1, -1], [5,
5]]]], [[8, 2, 6, 7, 1], [v = 1, u = -3^(1/2), x = 0, 1 < y, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [2, 2],
[0, 0]]]], [[8, 8, 3, 7, 1], [v = 1, u = 0, And(-2 < x,x < -1), -x < y, z = z]
, [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [3, 3], [0, 0]]]], [[8, 10, 2
, 2, 1], [v = 1, u = 1, x = -1, y = 0, z < -1], [regular_chain, [[1, 1], [1, 1
], [-1, -1], [0, 0], [-2, -2]]]], [[8, 10, 2, 2, 2], [v = 1, u = 1, x = -1, y
= 0, z = -1], [regular_chain, [[1, 1], [1, 1], [-1, -1], [0, 0], [-1, -1]]]],
[[8, 10, 2, 2, 3], [v = 1, u = 1, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [0, 0], [0, 0]]]], [[8, 10, 2, 2, 4]
, [v = 1, u = 1, x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [1, 1], [-1,
-1], [0, 0], [1, 1]]]], [[8, 10, 2, 2, 5], [v = 1, u = 1, x = -1, y = 0, 1 < z
], [regular_chain, [[1, 1], [1, 1], [-1, -1], [0, 0], [2, 2]]]], [[8, 14, 4, 7
, 1], [v = 1, u = 3^(1/2), x = -1, And(1 < y,y < 2), z = z], [regular_chain, [
[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [3/2, 3/2], [0, 0]]]], [[9
, 1, 1, 6, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y
= -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
-10, -10], [10, 10], [-1, -1]]]], [[9, 1, 1, 6, 2], [And(1 < v,v < 2^(1/2)), u
< -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-10, -10], [10, 10], [0, 0]]]], [[9, 1,
1, 6, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -x,
0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -\
10], [10, 10], [1, 1]]]], [[9, 6, 4, 1, 1], [And(1 < v,v < 2^(1/2)), u = -v, x
= 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [-3, -3]]]],
[[9, 6, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, y < -1, z = -(-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576,
-1265743/1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[
9, 6, 4, 1, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, y < -1, And(-(-y)^(1/2
) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [0, 0]]]], [[9, 6, 4, 1
, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, y < -1, z = (-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[9,
6, 4, 1, 5], [And(1 < v,v < 2^(1/2)), u = -v, x = 0, y < -1, (-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-2, -2], [3, 3]]]], [[9, 8, 4, 5, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9, 8, 4, 5, 2], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[9, 8
, 4, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y <
1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1/2, 1/2], [0
, 0]]]], [[9, 8, 4, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1
, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[9, 8, 4, 5, 5], [And(1 < v,v < 2^(1/2)), u
= -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1,
-1], [1/2, 1/2], [2, 2]]]], [[9, 8, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v
^2-1)^(1/2), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [1,
1], [0, 0]]]], [[9, 10, 6, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2),
x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[9,
10, 6, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, y = -2, z = -
2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288,
708939/1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[9,
10, 6, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, y = -2, And(-
2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [354469/524288, 708939/1048576], [0, 0], [-2, -2], [0, 0]]]], [[9, 10, 6, 2,
4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[9, 10, 6, 2
, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, y = -2, 2^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-2, -2], [3, 3]]]], [[9, 16, 3, 4, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [0, 0], [-3, -3]]]], [[9, 16, 3, 4, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[9, 16, 3,
4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [0, 0], [0, 0]]]]
, [[9, 16, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [0, 0], [741455/524288, 
1482911/1048576]]]], [[9, 16, 3, 4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [0, 0],
[3, 3]]]], [[9, 17, 11, 3, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-25735089/2097152, -\
25735089/2097152], [-4, -4]]]], [[9, 17, 11, 3, 2], [And(1 < v,v < 2^(1/2)), (
v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-\
25735089/2097152, -25735089/2097152], [-2167143/1048576, -1083571/524288]]]],
[[9, 17, 11, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x,
And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-25735089
/2097152, -25735089/2097152], [0, 0]]]], [[9, 17, 11, 3, 4], [And(1 < v,v < 2^
(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8,
8], [-25735089/2097152, -25735089/2097152], [1083571/524288, 2167143/1048576]]
]], [[9, 17, 11, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1
< x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-25735089/2097152, -\
25735089/2097152], [4, 4]]]], [[10, 4, 8, 1, 1], [v = 2^(1/2), u = -3^(1/2), x
= 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [-4, -4], [-3, -3]]]],
[[10, 4, 8, 1, 2], [v = 2^(1/2), u = -3^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[10, 4, 8, 1, 3], [v = 2^(1/2), u = -3^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [1, 1], [-4, -4], [-1/4194304, -1/4194304]
]]], [[10, 4, 8, 1, 4], [v = 2^(1/2), u = -3^(1/2), x = 1, y < -3, z = (-y-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576,
-3632373/2097152], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[10
, 4, 8, 1, 5], [v = 2^(1/2), u = -3^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [1, 1], [-4, -4], [3, 3]]]], [[10, 6, 6, 5, 1], [v = 2^(1/2), u = -v
, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [0, 0]]]],
[[10, 12, 1, 5, 1], [v = 2^(1/2), u = 1, x < -2, And(-x-2 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -\
3], [2, 2], [-2, -2]]]], [[10, 12, 1, 5, 2], [v = 2^(1/2), u = 1, x < -2, And(
-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1, 1], [-3, -3], [2, 2], [-1, -1]]]], [[10, 12, 1, 5, 3], [v = 2^(
1/2), u = 1, x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [2
, 2], [0, 0]]]], [[10, 12, 1, 5, 4], [v = 2^(1/2), u = 1, x < -2, And(-x-2 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1, 1], [-3, -3], [2, 2], [1, 1]]]], [[10, 12, 1, 5, 5], [v = 2^(1/2), u = 1
, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3, -3], [2, 2], [2, 2]]]], [[10, 13, 11, 4
, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [-2, -2]]]], [[10, 13,
11, 4, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [-1417877/
2097152, -354469/524288]]]], [[10, 13, 11, 4, 3], [v = 2^(1/2), And(1 < u,u <
v), 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-2576463/1048576, -1288231/524288], [0, 0]]]], [[10, 13, 11
, 4, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [354469/524288,
708939/1048576]]]], [[10, 13, 11, 4, 5], [v = 2^(1/2), And(1 < u,u < v), 1 < x
, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-2576463/1048576, -\
1288231/524288], [2, 2]]]], [[11, 2, 6, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2
), x = 0, 1 < y, z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [0, 0], [2, 2], [0, 0]]]], [[11, 4, 4, 5, 1], [2^(1/2) < v, u = -(v^
2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11
, 4, 4, 5, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z =
-(1-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1
, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[11, 4, 4, 5, 3],
[2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11, 4, 4, 5, 4], [2^(1/2) < v, u = -(v^2
+1)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3]
, [-3315889/1048576, -207243/65536], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[11, 4, 4, 5, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1,
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576
, -207243/65536], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 10, 1, 7, 1], [2^(1/2
) < v, u = -(v^2-2)^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [regular_chain
, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [9/2, 9/2], [0, 0]]
]], [[11, 11, 9, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), And(1 < x,x < -u^2+v^2-1), y = 0, z = z], [regular_chain, [[3, 3], [0, 0],
[9/2, 9/2], [0, 0], [0, 0]]]], [[11, 15, 9, 3, 1], [2^(1/2) < v, And((v^2-1)^(
1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
1/2, 1/2], [-402653157/268435456, -402653157/268435456], [-2, -2]]]], [[11, 15
, 9, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(
u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-402653157/268435456, -\
402653157/268435456], [-536870885/536870912, -17592185159679/17592186044416]]]
], [[11, 15, 9, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x
< 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/
2], [-402653157/268435456, -402653157/268435456], [-15892479/35184372088832, -\
15892479/35184372088832]]]], [[11, 15, 9, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-
x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2
, 1/2], [-402653157/268435456, -402653157/268435456], [1048575/1048576, 1]]]],
[[11, 15, 9, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-402653157/268435456
, -402653157/268435456], [2, 2]]]], [[11, 17, 9, 7, 1], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-1/4, -1/
4], [0, 0]]]], [[1, 1, 1, 8, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x < -u^2+v
^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [-5, -5], [-18, -18]
, [33, 33], [0, 0]]]], [[1, 2, 8, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x
= 1, y = -4, z < -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[1, 2, 8, 2, 2], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[-3, -3
], [-1738867/524288, -3477733/1048576], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 2, 8, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x =
1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]
]], [[1, 2, 8, 2, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, y = -4, z = 3^
(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1, 1]
, [-4, -4], [908093/524288, 1816187/1048576]]]], [[1, 2, 8, 2, 5], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-3, -3]
, [-1738867/524288, -3477733/1048576], [1, 1], [-4, -4], [3, 3]]]], [[1, 8, 4,
7, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [2,
2], [0, 0]]]], [[1, 10, 3, 4, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 <
x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[1, 10, 3, 4, 2],
[v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)]
, [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [
0, 0], [-1482911/1048576, -741455/524288]]]], [[1, 10, 3, 4, 3], [v < -2^(1/2)
, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2,
-2], [0, 0], [0, 0]]]], [[1, 10, 3, 4, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2),
And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/
1048576]]]], [[1, 10, 3, 4, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,
x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-2, -2], [0, 0], [3, 3]]]], [[1, 13, 11, 2, 1], [v < -2^(1
/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [2, 2], [-9454681/2097152, -1181835/262144], [-3, -3]]]], [[1, 13, 11, 2, 2]
, [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-
x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [2, 2], [-9454681/2097152, -1181835/262144], [-3321417/
2097152, -415177/262144]]]], [[1, 13, 11, 2, 3], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) <
z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [2, 2], [-9454681/2097152, -1181835/262144], [0, 0]]]], [[1,
13, 11, 2, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x,
y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [2, 2], [-9454681/2097152, -1181835/262144], [415177/
262144, 1660709/1048576]]]], [[1, 13, 11, 2, 5], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-9454681/
2097152, -1181835/262144], [3, 3]]]], [[1, 15, 10, 5, 1], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-\
2613723/2097152, -2613723/2097152], [-2, -2]]]], [[1, 15, 10, 5, 2], [v < -2^(
1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(
-y-1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
1, 1], [-2613723/2097152, -2613723/2097152], [-16263/32768, -520415/1048576]]]
], [[1, 15, 10, 5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, 
And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-\
2613723/2097152, -2613723/2097152], [0, 0]]]], [[1, 15, 10, 5, 4], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-\
1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1,
1], [-2613723/2097152, -2613723/2097152], [520415/1048576, 16263/32768]]]], [[
1, 15, 10, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^
2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1, 1], [-2613723/2097152, -2613723/2097152], [2, 2
]]]], [[1, 21, 6, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2
-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0, 0], [-17,
-17], [-6, -6]]]], [[1, 21, 6, 2, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0,
y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0
, 0], [-17, -17], [-2161695/524288, -4323389/1048576]]]], [[1, 21, 6, 2, 3], [
v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [0, 0], [-17,
-17], [0, 0]]]], [[1, 21, 6, 2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, y
= -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0, 0
], [-17, -17], [4323389/1048576, 2161695/524288]]]], [[1, 21, 6, 2, 5], [v < -
2^(1/2), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [-17, -17], [6, 6]]]], [[2, 2, 1, 5,
1], [v = -2^(1/2), u = -2, x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [5/2,
5/2], [-3, -3]]]], [[2, 2, 1, 5, 2], [v = -2^(1/2), u = -2, x < -3, And(-x-3 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-4, -4], [5/2, 5/2], [-1284239/1048576, -642119/524288]]]]
, [[2, 2, 1, 5, 3], [v = -2^(1/2), u = -2, x < -3, And(-x-3 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [5/2, 5/2], [0, 0]]]], [[2, 2, 1, 5, 4], [
v = -2^(1/2), u = -2, x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [5/2,
5/2], [642119/524288, 1284239/1048576]]]], [[2, 2, 1, 5, 5], [v = -2^(1/2), u
= -2, x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [5/2, 5/2], [3, 3]]]], [
[2, 9, 11, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, And(-x < y,y < -u^2
-x+1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/
2], [2, 2], [-13/8, -13/8], [0, 0]]]], [[2, 11, 9, 1, 1], [v = -2^(1/2), And(0
< u,u < 1), And(-u^2+1 < x,x < 1), y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-\
5, -5], [-4, -4]]]], [[2, 11, 9, 1, 2], [v = -2^(1/2), And(0 < u,u < 1), And(-
u^2+1 < x,x < 1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-5, -5], [-532417/262144, -\
2129667/1048576]]]], [[2, 11, 9, 1, 3], [v = -2^(1/2), And(0 < u,u < 1), And(-
u^2+1 < x,x < 1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-\
5, -5], [0, 0]]]], [[2, 11, 9, 1, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-u^
2+1 < x,x < 1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-5, -5], [2129667/1048576,
532417/262144]]]], [[2, 11, 9, 1, 5], [v = -2^(1/2), And(0 < u,u < 1), And(-u^
2+1 < x,x < 1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-5, -5], [4, 4]]]], [[2, 17
, 6, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(0 < y,y < u^2-3)
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [0, 0], [505467/2097152, 505467/2097152], [0, 0]]]]
, [[2, 19, 4, 1, 1], [v = -2^(1/2), 2 < u, x = -1, y < -u^2+2, z < -(1-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-8
, -8], [-4, -4]]]], [[2, 19, 4, 1, 2], [v = -2^(1/2), 2 < u, x = -1, y < -u^2+
2, z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-1, -1], [-8, -8], [-3, -3]]]], [[2, 19, 4, 1, 3], [v = -2^(1/2), 2 < u,
x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-8, -8], [0, 0]]]], [[2,
19, 4, 1, 4], [v = -2^(1/2), 2 < u, x = -1, y < -u^2+2, z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1, -1], [-8, -8]
, [3, 3]]]], [[2, 19, 4, 1, 5], [v = -2^(1/2), 2 < u, x = -1, y < -u^2+2, (1-y
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-1
, -1], [-8, -8], [4, 4]]]], [[3, 3, 9, 8, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = 0, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [0, 0], [0, 0]]]], [[3, 5
, 9, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 <
x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2
, 1/2], [-33009611/16777216, -16504805/8388608], [-3, -3]]]], [[3, 5, 9, 2, 2]
, [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1),
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-\
33009611/16777216, -16504805/8388608], [-1270261/1048576, -317565/262144]]]],
[[3, 5, 9, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 
And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-33009611/16777216, -16504805/8388608
], [0, 0]]]], [[3, 5, 9, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2)
< u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-33009611/16777216, -16504805/8388608], [317565
/262144, 1270261/1048576]]]], [[3, 5, 9, 2, 5], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-33009611/16777216, -16504805/8388608
], [3, 3]]]], [[3, 11, 6, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144
, -450371/1048576], [450371/1048576, 112593/262144], [-1, -1]]]], [[3, 11, 6,
6, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-\
1, y = u^2-v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [
450371/1048576, 112593/262144], [0, 0]]]], [[3, 11, 6, 6, 3], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-112593/262144, -450371/1048576], [450371/1048576, 112593/
262144], [1, 1]]]], [[3, 13, 7, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-139585/524288, -139585/524288], [139585/1048576, 139585/
1048576], [-2, -2]]]], [[3, 13, 7, 7, 2], [And(-2^(1/2) < v,v < -1), And(-v <
u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [139585/1048576,
139585/1048576], [-191289/524288, -382577/1048576]]]], [[3, 13, 7, 7, 3], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0)
, And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [139585/1048576, 139585/1048576], [0, 0]]]], [
[3, 13, 7, 7, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [
-139585/524288, -139585/524288], [139585/1048576, 139585/1048576], [382577/
1048576, 191289/524288]]]], [[3, 13, 7, 7, 5], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [139585/1048576,
139585/1048576], [2, 2]]]], [[3, 13, 9, 9, 1], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2,
1/2], [1, 1], [0, 0]]]], [[3, 15, 9, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
4149659/2097152, -4149659/2097152], [-3, -3]]]], [[3, 15, 9, 3, 2], [And(-2^(1
/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [775271/
1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152], [-583671/
524288, -1167341/1048576]]]], [[3, 15, 9, 3, 3], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [775271
/1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152], [0, 0]]]], [[
3, 15, 9, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [775271/1048576, 775271/1048576], [-4149659/2097152, -4149659/
2097152], [1167341/1048576, 583671/524288]]]], [[3, 15, 9, 3, 5], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x <
1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [775271/
1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152], [3, 3]]]], [[4
, 3, 8, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -2*u^2+
2, z < u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [-49484237/16777216, -12371059/4194304], [-3,
-3]]]], [[4, 3, 8, 2, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2,
y = -2*u^2+2, z = u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/524288, 497807/1048576], [-49484237/16777216, -12371059/
4194304], [-1649549/1048576, -3299097/2097152]]]], [[4, 3, 8, 2, 3], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -2*u^2+2, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288
, 497807/1048576], [-49484237/16777216, -12371059/4194304], [-1/4194304, -1/
4194304]]]], [[4, 3, 8, 2, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^
2-2, y = -2*u^2+2, z = -u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [248903/524288, 497807/1048576], [-49484237/16777216, -\
12371059/4194304], [412387/262144, 1649549/1048576]]]], [[4, 3, 8, 2, 5], [v =
-1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -2*u^2+2, -u < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288
, 497807/1048576], [-49484237/16777216, -12371059/4194304], [3, 3]]]], [[4, 5,
7, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(u^2-x-2
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/
262144], [-2, -2]]]], [[4, 5, 7, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), And
(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/
2097152], [-35579/262144, -35579/262144], [-669095/1048576, -1338189/2097152]]
]], [[4, 5, 7, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0),
And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-35579/262144, -35579/262144], [-1/4194304, -1/
4194304]]]], [[4, 5, 7, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 <
x,x < 0), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
35579/262144, -35579/262144], [334547/524288, 669095/1048576]]]], [[4, 5, 7, 5
, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(u^2-x-2 < y
,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/
262144], [2, 2]]]], [[4, 9, 10, 1, 1], [v = -1, And(0 < u,u < 1), x = 1, y < u
^2-3, z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-4,
-4], [-3, -3]]]], [[4, 9, 10, 1, 2], [v = -1, And(0 < u,u < 1), x = 1, y < u^2
-3, z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-4, -4
], [-1816187/1048576, -3632373/2097152]]]], [[4, 9, 10, 1, 3], [v = -1, And(0
< u,u < 1), x = 1, y < u^2-3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[4, 9, 10, 1, 4], [v = -1, And(0 < u,u < 1), x = 1, y < u^2-3, z
= (-y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[4, 9, 10, 1, 5], [v = -1, And(0 < u,u <
1), x = 1, y < u^2-3, (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2]
, [1, 1], [-4, -4], [3, 3]]]], [[4, 11, 10, 9, 1], [v = -1, And(1 < u,u < 2^(1
/2)), x = 1, 0 < y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [1, 1], [1, 1], [0, 0]]]], [[5, 1, 11, 8, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = 0, z = z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [9, 9], [0, 0], [0, 0]]]], [[5, 3, 9, 4, 1], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y
= -x, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[1534619/2097152, 1534619/2097152], [-1534619/2097152, -1534619/2097152], [-1,
-1]]]], [[5, 3, 9, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [
-1534619/2097152, -1534619/2097152], [0, 0]]]], [[5, 3, 9, 4, 3], [And(-1 < v,
v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144
], [1534619/2097152, 1534619/2097152], [-1534619/2097152, -1534619/2097152], [
1, 1]]]], [[5, 11, 11, 9, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [2, 2], [1, 1], [0, 0]]]], [[5, 13, 9, 3, 1], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/
8], [-37/4, -37/4], [-4, -4]]]], [[5, 13, 9, 3, 2], [And(-1 < v,v < 0), (v^2+2
)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-37/4, -37/4]
, [-1157597/524288, -2315193/1048576]]]], [[5, 13, 9, 3, 3], [And(-1 < v,v < 0
), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3
], [35/8, 35/8], [-37/4, -37/4], [0, 0]]]], [[5, 13, 9, 3, 4], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-37/4
, -37/4], [2315193/1048576, 1157597/524288]]]], [[5, 13, 9, 3, 5], [And(-1 < v
,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [
-37/4, -37/4], [4, 4]]]], [[6, 5, 10, 4, 1], [v = 0, And(-1 < u,u < 0), x = 1,
y = u^2-2, z < -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1]
, [-7/4, -7/4], [-2, -2]]]], [[6, 5, 10, 4, 2], [v = 0, And(-1 < u,u < 0), x =
1, y = u^2-2, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1,
1], [-7/4, -7/4], [-1816187/2097152, -3632373/4194304]]]], [[6, 5, 10, 4, 3],
[v = 0, And(-1 < u,u < 0), x = 1, y = u^2-2, And(-(-u^2+1)^(1/2) < z,z < (-u^2
+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-7/4, -7/4], [-1/
8388608, -1/8388608]]]], [[6, 5, 10, 4, 4], [v = 0, And(-1 < u,u < 0), x = 1,
y = u^2-2, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1],
[-7/4, -7/4], [908093/1048576, 454047/524288]]]], [[6, 5, 10, 4, 5], [v = 0, 
And(-1 < u,u < 0), x = 1, y = u^2-2, (-u^2+1)^(1/2) < z], [regular_chain, [[0,
0], [-1/2, -1/2], [1, 1], [-7/4, -7/4], [2, 2]]]], [[6, 7, 11, 3, 1], [v = 0,
And(0 < u,u < 1), 1 < x, And(-u^2-x-1 < y,y < u^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-3, -3], [-2, -2]]]], [[6, 7, 11,
3, 2], [v = 0, And(0 < u,u < 1), 1 < x, And(-u^2-x-1 < y,y < u^2-x-1), z = -(-
x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-3, -3], [-1, -1]]]
], [[6, 7, 11, 3, 3], [v = 0, And(0 < u,u < 1), 1 < x, And(-u^2-x-1 < y,y < u^
2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/
2, 1/2], [2, 2], [-3, -3], [0, 0]]]], [[6, 7, 11, 3, 4], [v = 0, And(0 < u,u <
1), 1 < x, And(-u^2-x-1 < y,y < u^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [
[0, 0], [1/2, 1/2], [2, 2], [-3, -3], [1, 1]]]], [[6, 7, 11, 3, 5], [v = 0, 
And(0 < u,u < 1), 1 < x, And(-u^2-x-1 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-3, -3], [2, 2]]]], [[6, 11, 10,
1, 1], [v = 0, 2^(1/2) < u, x = u^2-1, y < -2*u^2, z < -(-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [8, 8], [-19, -19], [-5, -5]]]], [[6, 11, 10,
1, 2], [v = 0, 2^(1/2) < u, x = u^2-1, y < -2*u^2, z = -(-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [8, 8], [-19, -19], [-1738867/524288, -3477733
/1048576]]]], [[6, 11, 10, 1, 3], [v = 0, 2^(1/2) < u, x = u^2-1, y < -2*u^2,
And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [3,
3], [8, 8], [-19, -19], [0, 0]]]], [[6, 11, 10, 1, 4], [v = 0, 2^(1/2) < u, x
= u^2-1, y < -2*u^2, z = (-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [
8, 8], [-19, -19], [3477733/1048576, 1738867/524288]]]], [[6, 11, 10, 1, 5], [
v = 0, 2^(1/2) < u, x = u^2-1, y < -2*u^2, (-u^2-y+1)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [8, 8], [-19, -19], [5, 5]]]], [[7, 2, 5, 4, 1
], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^
(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [0, 0], [-2,
-2]]]], [[7, 2, 5, 4, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x
< 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/
2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[7, 2, 5, 4, 3], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2
) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2
], [0, 0], [0, 0]]]], [[7, 2, 5, 4, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[7, 2, 5, 4, 5
], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [0, 0], [2, 2]]
]], [[7, 8, 1, 1, 1], [And(0 < v,v < 1), u = v, x < -1, y < 0, z < -(-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [-1, -1], [-3, -3]]]],
[[7, 8, 1, 1, 2], [And(0 < v,v < 1), u = v, x < -1, y < 0, z = -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [-1, -1], [-1816187/1048576
, -3632373/2097152]]]], [[7, 8, 1, 1, 3], [And(0 < v,v < 1), u = v, x < -1, y
< 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1
/2, 1/2], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[7, 8, 1, 1, 4], [
And(0 < v,v < 1), u = v, x < -1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [1/2, 1/2], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]],
[[7, 8, 1, 1, 5], [And(0 < v,v < 1), u = v, x < -1, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [-1, -1], [3, 3]]]], [[7, 
10, 2, 2, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, y = 0, z < -2^(1/2
)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2], [
0, 0], [-3, -3]]]], [[7, 10, 2, 2, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x
= -2, y = 0, z = -2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[7,
10, 2, 2, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, y = 0, And(-2^(1/2
) < z,z < 2^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-2, -2], [0, 0], [0, 0]]]], [[7, 10, 2, 2, 4], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-2, -2], [0, 0], [741455/524288, 1482911/
1048576]]]], [[7, 10, 2, 2, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2,
y = 0, 2^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-2, -2], [0, 0], [3, 3]]]], [[7, 10, 5, 3, 1], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [-\
3/4, -3/4], [-3, -3]]]], [[7, 10, 5, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/
2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [-3/4, -3/4], [
-146543/131072, -1172343/1048576]]]], [[7, 10, 5, 3, 3], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[7, 10, 5, 3, 4], [And(0 < v,
v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^
(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2,
-1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[7, 10, 5, 3, 5], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (
-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072
], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[7, 12, 3, 3, 1], [And(0 < v,v < 1)
, u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2
)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-1/2, -1/2], [-3, -3]]
]], [[7, 12, 3, 3, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1
), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [[7, 12,
3, 3, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2
], [3/2, 3/2], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[7, 12, 3, 3, 4], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-1/2, -1/2], [
207243/131072, 1657945/1048576]]]], [[7, 12, 3, 3, 5], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[8
, 4, 3, 5, 1], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[8, 4, 3, 5, 2], [v = 1, u = -2^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [3/4, 3/4], [-1816187/
2097152, -3632373/4194304]]]], [[8, 4, 3, 5, 3], [v = 1, u = -2^(1/2), And(-2
< x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [3/4
, 3/4], [-1/8388608, -1/8388608]]]], [[8, 4, 3, 5, 4], [v = 1, u = -2^(1/2), 
And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [3/4, 3/4], [908093/
1048576, 454047/524288]]]], [[8, 4, 3, 5, 5], [v = 1, u = -2^(1/2), And(-2 < x
,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[8, 6,
1, 7, 1], [v = 1, u = -1, x < -1, -x < y, z = z], [regular_chain, [[1, 1], [-1
, -1], [-2, -2], [3, 3], [0, 0]]]], [[8, 10, 5, 6, 1], [v = 1, u = 1, And(0 <
x,x < 1), y = 0, z = z], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [0, 0],
[0, 0]]]], [[8, 12, 6, 1, 1], [v = 1, u = 2^(1/2), x = 0, y < -2, z < -(-y)^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0], [-3,
-3], [-3, -3]]]], [[8, 12, 6, 1, 2], [v = 1, u = 2^(1/2), x = 0, y < -2, z = -
(-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0]
, [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[8, 12, 6, 1, 3], [v = 1
, u = 2^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0], [-3, -3], [-\
1/4194304, -1/4194304]]]], [[8, 12, 6, 1, 4], [v = 1, u = 2^(1/2), x = 0, y <
-2, z = (-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[8, 12, 6, 1, 5], [v
= 1, u = 2^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [0, 0], [-3, -3], [3, 3]]]], [[9, 2, 6, 5, 1]
, [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [1/2, 1/2], [0, 0]]]], [[9, 4, 4, 3, 1], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[9, 4, 4, 3, 2], [And(
1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144,
-3287319/2097152], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]
]], [[9, 4, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And
(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1
], [-1/2, -1/2], [0, 0]]]], [[9, 4, 4, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v
^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1
], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[9, 4, 4, 3, 5], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[9, 12, 6, 2, 1], [And(1
< v,v < 2^(1/2)), u = v, x = 1, y = -2, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2
], [-2, -2]]]], [[9, 12, 6, 2, 2], [And(1 < v,v < 2^(1/2)), u = v, x = 1, y =
-2, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[9, 12, 6, 2, 3], [
And(1 < v,v < 2^(1/2)), u = v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-2, -2], [0, 0]]]], [[9, 12, 6, 2, 4], [And(1 < v,v < 2^(1/
2)), u = v, x = 1, y = -2, z = 1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[9
, 12, 6, 2, 5], [And(1 < v,v < 2^(1/2)), u = v, x = 1, y = -2, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-2, -2], [2, 2]]]], [[9, 14, 6, 4, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [0, 0], [
-1, -1]]]], [[9, 14, 6, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x =
0, y = 0, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [0, 0], [0, 0], [0, 0]]]], [[9, 14, 6, 4, 3],
[And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [0, 0], [0, 0], [1, 1]]]], [[10, 2, 7, 1, 1], [v = 2^(1/2), u = -2, 
And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[10, 2
, 7, 1, 2], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [
-5, -5], [-1112183/524288, -2224365/1048576]]]], [[10, 2, 7, 1, 3], [v = 2^(1/
2), u = -2, And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [
-5, -5], [0, 0]]]], [[10, 2, 7, 1, 4], [v = 2^(1/2), u = -2, And(0 < x,x < 1),
y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-2, -2], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[10,
2, 7, 1, 5], [v = 2^(1/2), u = -2, And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [
-5, -5], [4, 4]]]], [[10, 4, 4, 6, 1], [v = 2^(1/2), u = -3^(1/2), x = -1, y =
1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1, -1], [1, 1], [-1, -1]]]], [[10, 4, 4, 6, 2],
[v = 2^(1/2), u = -3^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [1,
1], [0, 0]]]], [[10, 4, 4, 6, 3], [v = 2^(1/2), u = -3^(1/2), x = -1, y = 1, 0
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1, 1], [1, 1]]]], [[10, 8, 8, 3, 1], [v = 2^(1/2)
, u = -1, x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-2, -2], [-2, -2]]]], [[10
, 8, 8, 3, 2], [v = 2^(1/2), u = -1, x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-2
, -2], [-1, -1]]]], [[10, 8, 8, 3, 3], [v = 2^(1/2), u = -1, x = 1, And(-3 < y
,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [1, 1], [-2, -2], [0, 0]]]], [[10, 8, 8, 3
, 4], [v = 2^(1/2), u = -1, x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-2, -2],
[1, 1]]]], [[10, 8, 8, 3, 5], [v = 2^(1/2), u = -1, x = 1, And(-3 < y,y < -1),
(-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1]
, [1, 1], [-2, -2], [2, 2]]]], [[10, 10, 5, 4, 1], [v = 2^(1/2), u = 0, And(-1
< x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 10, 5, 4, 2], [v =
2^(1/2), u = 0, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[10, 10, 5, 4, 3], [v = 2^(1/2), u = 0, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10
, 10, 5, 4, 4], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[10, 10, 5, 4, 5], [v = 2^(1/2), u = 0,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 16, 1, 7, 1],
[v = 2^(1/2), u = 3^(1/2), x < -2, -x < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [4, 4],
[0, 0]]]], [[10, 17, 11, 6, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y
= u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [2, 2], [-1591685/1048576, -3183369/2097152], [0,
0]]]], [[10, 18, 3, 3, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), And(-x-3 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [2, 2], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[10, 18, 3, 3, 2], [v = 2^(1/
2), u = 2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-1/2, -1/
2], [-3315889/2097152, -207243/131072]]]], [[10, 18, 3, 3, 3], [v = 2^(1/2), u
= 2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2],
[-1/2, -1/2], [0, 0]]]], [[10, 18, 3, 3, 4], [v = 2^(1/2), u = 2, And(-3 < x,x
< -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [2, 2], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[10, 18, 3, 3, 5], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), And(
-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[10, 19, 11, 2, 1], [v =
2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-15, -15], [-4, -4]]]], [[
10, 19, 11, 2, 2], [v = 2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1, z = -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-\
15, -15], [-2965821/1048576, -11863283/4194304]]]], [[10, 19, 11, 2, 3], [v =
2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-15
, -15], [-3/8388608, -3/8388608]]]], [[10, 19, 11, 2, 4], [v = 2^(1/2), 2 < u,
u^2-3 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [7, 7], [-15, -15], [741455/262144, 2965821/1048576]
]]], [[10, 19, 11, 2, 5], [v = 2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1, (u^2-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7
], [-15, -15], [4, 4]]]], [[11, 6, 1, 5, 1], [2^(1/2) < v, u = -v, x < -1, And
(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2,
-2], [3/2, 3/2], [-2, -2]]]], [[11, 6, 1, 5, 2], [2^(1/2) < v, u = -v, x < -1,
And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [
-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[11, 6, 1, 5, 3]
, [2^(1/2) < v, u = -v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [3/2, 3/2], [0,
0]]]], [[11, 6, 1, 5, 4], [2^(1/2) < v, u = -v, x < -1, And(-1-x < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [3/2, 3/2], [
741455/1048576, 46341/65536]]]], [[11, 6, 1, 5, 5], [2^(1/2) < v, u = -v, x <
-1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3]
, [-2, -2], [3/2, 3/2], [2, 2]]]], [[11, 8, 2, 2, 1], [2^(1/2) < v, u = -(v^2-\
1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-2, -2], [0, 0], [-3, -3]]]], [[11, 8, 2, 2, 2],
[2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [0, 0], [-1482911/
1048576, -741455/524288]]]], [[11, 8, 2, 2, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [0, 0], [0, 0]]]], [[11, 8, 2,
2, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [0, 0
], [741455/524288, 1482911/1048576]]]], [[11, 8, 2, 2, 5], [2^(1/2) < v, u = -
(v^2-1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[3, 3], [-2965821
/1048576, -11863283/4194304], [-2, -2], [0, 0], [3, 3]]]], [[11, 12, 1, 4, 1],
[2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-3,
-3]]]], [[11, 12, 1, 4, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = -x-3,
z = -3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4
], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[11, 12, 1, 4, 3], [2^(1/
2) < v, u = (v^2-2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [-1/
4194304, -1/4194304]]]], [[11, 12, 1, 4, 4], [2^(1/2) < v, u = (v^2-2)^(1/2),
x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[11, 12,
1, 4, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [1, 1], [3, 3
]]]], [[11, 13, 9, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2
)), And(-u^2+v^2-1 < x,x < 1), And(-x < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152, 
1581613/2097152], [-2097155/4194304, -2097155/4194304], [0, 0]]]], [[11, 19, 7
, 4, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x <
u^2-v^2-1), y = -x, z < 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [129511/524288, 129511/524288], [-129511/524288, -129511/524288], [
-1, -1]]]], [[11, 19, 7, 4, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-129511/
524288, -129511/524288], [0, 0]]]], [[11, 19, 7, 4, 3], [2^(1/2) < v, And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-129511/524288, -129511/524288], [1, 1]]]], [[11, 21, 4, 3, 1
], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y
)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-8, -8], [-4, -4]]]], [[
11, 21, 4, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y
< 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-8, -8],
[-3, -3]]]], [[11, 21, 4, 3, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(
-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [
[3, 3], [5, 5], [-1, -1], [-8, -8], [0, 0]]]], [[11, 21, 4, 3, 4], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [-8, -8], [3, 3]]]], [[11, 21, 4, 3,
5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1
/2) < z], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-8, -8], [4, 4]]]], [[1,
4, 7, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z <
0], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2],
[-1/2, -1/2], [-1, -1]]]], [[1, 4, 7, 4, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2)
, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 4, 7, 4, 3]
, [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-1/2
, -1/2], [1, 1]]]], [[1, 6, 6, 1, 1], [v < -2^(1/2), u = v, x = 1, y < -2, z <
-(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3, -3], [-3, -3
]]]], [[1, 6, 6, 1, 2], [v < -2^(1/2), u = v, x = 1, y < -2, z = -(-y-1)^(1/2)
], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[1, 6, 6, 1, 3], [v < -2^(1/2), u = v, x = 1, y < -2, And(
-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-3, -3], [1,
1], [-3, -3], [0, 0]]]], [[1, 6, 6, 1, 4], [v < -2^(1/2), u = v, x = 1, y < -2
, z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-3, -3], [
741455/524288, 1482911/1048576]]]], [[1, 6, 6, 1, 5], [v < -2^(1/2), u = v, x
= 1, y < -2, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [
-3, -3], [3, 3]]]], [[1, 11, 11, 8, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = 0, z = z], [regular_chain, [[-3, -3],
[0, 0], [9, 9], [0, 0], [0, 0]]]], [[1, 13, 8, 7, 1], [v < -2^(1/2), And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, 0 < y, z = z], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576]
, [1, 1], [0, 0]]]], [[1, 17, 11, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)
^(1/2)), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [2, 2], [-1, -1], [0, 0]]]], [[1, 19, 10, 6, 1], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = u^2-v^2-2, z =
z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-\
132633/262144, -1061063/2097152], [0, 0]]]], [[2, 3, 10, 2, 1], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
1, 1], [-912799/262144, -3651195/1048576], [-3, -3]]]], [[2, 3, 10, 2, 2], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-825991/524288,
-3303963/2097152]]]], [[2, 3, 10, 2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-1/4194304, -1/
4194304]]]], [[2, 3, 10, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1
, y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [1, 1], [-912799/262144, -\
3651195/1048576], [1651981/1048576, 825991/524288]]]], [[2, 3, 10, 2, 5], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [3, 3]]]], [[2,
5, 9, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^
2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[2
, 5, 9, 1, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y < -
u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-3, -3], [-3315889
/2097152, -207243/131072]]]], [[2, 5, 9, 1, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(0 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [1/2, 1/2], [-3, -3], [0, 0]]]], [[2, 5, 9, 1, 4], [v = -2^
(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^2-x+1, z = (-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [
[2, 5, 9, 1, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y <
-u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-3, -3], [3, 3]]]]
, [[2, 5, 11, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, y = -x, z
< 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [2, 2], [-2, -2], [-1, -1]]]], [[2, 5, 11, 6, 2], [v = -2^(
1/2), And(-3^(1/2) < u,u < v), 1 < x, y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2]
, [-2, -2], [0, 0]]]], [[2, 5, 11, 6, 3], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [2, 2], [-2, -2], [1, 1]]]], [[2, 8, 1
, 1, 1], [v = -2^(1/2), u = -1, x < -2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-1, -\
1], [-3, -3]]]], [[2, 8, 1, 1, 2], [v = -2^(1/2), u = -1, x < -2, y < 0, z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-3, -3], [-1, -1], [-2, -2]]]], [[2, 8, 1, 1, 3], [v = -2^(1/2), u = -1, x <
-2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-1, -1], [0, 0]]]], [[2
, 8, 1, 1, 4], [v = -2^(1/2), u = -1, x < -2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [-1, -\
1], [2, 2]]]], [[2, 8, 1, 1, 5], [v = -2^(1/2), u = -1, x < -2, y < 0, (-x-y)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3
, -3], [-1, -1], [3, 3]]]], [[2, 13, 6, 4, 1], [v = -2^(1/2), And(1 < u,u < -v
), x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655
/524288], [0, 0], [-2, -2]]]], [[2, 13, 6, 4, 2], [v = -2^(1/2), And(1 < u,u <
-v), x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576
, -239655/524288], [0, 0], [-1417877/2097152, -354469/524288]]]], [[2, 13, 6,
4, 3], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, y = 0, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [0, 0],
[0, 0]]]], [[2, 13, 6, 4, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, y
= 0, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [0, 0],
[354469/524288, 708939/1048576]]]], [[2, 13, 6, 4, 5], [v = -2^(1/2), And(1 <
u,u < -v), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576
, -239655/524288], [0, 0], [2, 2]]]], [[2, 15, 7, 1, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-3, -3], [-3, -3]]]], [[2, 15,
7, 1, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y < -u
^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-3
, -3], [-7576065/4194304, -14797/8192]]]], [[2, 15, 7, 1, 3], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y < -u^2-x+1, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-3, -3
], [0, 0]]]], [[2, 15, 7, 1, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u
^2-3 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576
, -275385/1048576], [-3, -3], [14797/8192, 1894017/1048576]]]], [[2, 15, 7, 1,
5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y < -u^2-x+1
, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-3, -3
], [3, 3]]]], [[2, 19, 6, 3, 1], [v = -2^(1/2), 2 < u, x = 0, And(-u^2+1 < y,y
< 0), z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3, 3], [0, 0], [-4, -4], [-3, -3]]]], [[2, 19, 6, 3, 2], [v = -2^(1/2), 2 < u,
x = 0, And(-u^2+1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [0, 0], [-4, -4], [-2, -2]]]], [[2, 19, 6, 3
, 3], [v = -2^(1/2), 2 < u, x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[0, 0], [-4, -4], [0, 0]]]], [[2, 19, 6, 3, 4], [v = -2^(1/2), 2 < u, x = 0, 
And(-u^2+1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [0, 0], [-4, -4], [2, 2]]]], [[2, 19, 6, 3, 5], [v = -
2^(1/2), 2 < u, x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [-4, -4], [3, 3]]]], [[3,
2, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = 0, z <
-(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297
/2097152, -7798593/4194304], [-4, -4], [0, 0], [-3, -3]]]], [[3, 2, 1, 2, 2],
[And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [0, 0], [-2, -2]]]], [[3, 2, 1, 2, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [0, 0], [0, 0]]]], [[3, 2, 1, 2, 4], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [0, 0], [2, 2]]]], [[3, 2, 1, 2, 5], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [0, 0], [3, 3]]]], [[3, 7, 8, 3, 1], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+
v^2-1), z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [0, 0], [-1, -1], [-2, -2]]]], [[3, 7
, 8, 3, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, 
And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [0,
0], [-1, -1], [-1, -1]]]], [[3, 7, 8, 3, 3], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-y)^(
1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-1, -1], [0, 0]]]], [
[3, 7, 8, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = (-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [0,
0], [-1, -1], [1, 1]]]], [[3, 7, 8, 3, 5], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [0, 0], [-1, -1], [2, 2]]]], [[3, 9, 7, 2, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v
^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-\
1408059/524288, -5632235/2097152], [-3, -3]]]], [[3, 9, 7, 2, 2], [And(-2^(1/2
) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v
^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-\
1408059/524288, -5632235/2097152], [-410915/262144, -3287319/2097152]]]], [[3,
9, 7, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [239655/1048576, 239655/1048576], [-1408059/524288, -5632235/2097152],
[-1/4194304, -1/4194304]]]], [[3, 9, 7, 2, 4], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-
x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [-1408059/524288, -5632235
/2097152], [1643659/1048576, 410915/262144]]]], [[3, 9, 7, 2, 5], [And(-2^(1/2
) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v
^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-\
1408059/524288, -5632235/2097152], [3, 3]]]], [[3, 17, 6, 5, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [6860721
/2097152, 6860721/2097152], [0, 0]]]], [[4, 2, 1, 4, 1], [v = -1, u = -3^(1/2)
, x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [1, 1], [-3, -3]]]], [[4, 2, 1, 4, 2], [
v = -1, u = -3^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1], [-1816187/1048576,
-3632373/2097152]]]], [[4, 2, 1, 4, 3], [v = -1, u = -3^(1/2), x < -3, y = -x-\
3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[4
, 2, 1, 4, 4], [v = -1, u = -3^(1/2), x < -3, y = -x-3, z = 3^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1,
1], [908093/524288, 1816187/1048576]]]], [[4, 2, 1, 4, 5], [v = -1, u = -3^(1/
2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [1, 1], [3, 3]]]], [[4, 7, 8, 7, 1], [v
= -1, And(-1 < u,u < 0), x = 0, 0 < y, z = z], [regular_chain, [[-1, -1], [-1/
2, -1/2], [0, 0], [1, 1], [0, 0]]]], [[4, 9, 7, 6, 1], [v = -1, And(0 < u,u <
1), And(-u^2 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [
1/2, 1/2], [-1/8, -1/8], [0, 0], [-2, -2]]]], [[4, 9, 7, 6, 2], [v = -1, And(0
< u,u < 1), And(-u^2 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1
, -1], [1/2, 1/2], [-1/8, -1/8], [0, 0], [-46341/131072, -370727/1048576]]]],
[[4, 9, 7, 6, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = 0, And(-
(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8,
-1/8], [0, 0], [0, 0]]]], [[4, 9, 7, 6, 4], [v = -1, And(0 < u,u < 1), And(-u^
2 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [
-1/8, -1/8], [0, 0], [370727/1048576, 46341/131072]]]], [[4, 9, 7, 6, 5], [v =
-1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [0, 0], [2, 2]]]], [[4, 13
, 10, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [-1, -1]
, [-1, -1]]]], [[4, 13, 10, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x =
1, y = -1, z = 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [1, 1], [-1, -1], [0, 0]]]], [[4, 13, 10, 4, 3], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [3299097
/2097152, 3299097/2097152], [1, 1], [-1, -1], [1, 1]]]], [[4, 15, 7, 3, 1], [v
= -1, 3^(1/2) < u, And(0 < x,x < 1), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[4,
15, 7, 3, 2], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), And(-u^2-x < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-5, -5], [
-1112183/524288, -2224365/1048576]]]], [[4, 15, 7, 3, 3], [v = -1, 3^(1/2) < u
, And(0 < x,x < 1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-5, -5], [0, 0]]]], [[
4, 15, 7, 3, 4], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), And(-u^2-x < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-5, -5],
[2224365/1048576, 1112183/524288]]]], [[4, 15, 7, 3, 5], [v = -1, 3^(1/2) < u,
And(0 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[-1, -1], [3, 3], [1/2, 1/2], [-5, -5], [4, 4]]]], [[5, 5, 9, 1, 1], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^2+v^2-x-1, z
< -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[5, 5, 9, 1, 2], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[5, 5,
9, 1, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1),
y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-3, -3], [0, 0
]]]], [[5, 5, 9, 1, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And
(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-3, -3], [207243/
131072, 1657945/1048576]]]], [[5, 5, 9, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2]
, [-3, -3], [3, 3]]]], [[5, 7, 9, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v)
, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-7/8, -7/8], [-2, -2]]]], [
[5, 7, 9, 5, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
0, 0], [1/2, 1/2], [-7/8, -7/8], [-1284239/2097152, -642119/1048576]]]], [[5,
7, 9, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(-u^2
+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-7/8, -7/8], [0, 0]]]], [[5, 7, 9, 5, 4]
, [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2
], [-7/8, -7/8], [642119/1048576, 80265/131072]]]], [[5, 7, 9, 5, 5], [And(-1
< v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-7/8, -\
7/8], [2, 2]]]], [[5, 7, 11, 8, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 <
x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [0, 0], [0, 0
]]]], [[5, 10, 1, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(0
< y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[5, 10, 1, 3, 2],
[And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3
, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[5, 10, 1, 3, 3], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576
, 146543/131072], [-3, -3], [1/2, 1/2], [0, 0]]]], [[5, 10, 1, 3, 4], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [1/
2, 1/2], [207243/131072, 1657945/1048576]]]], [[5, 10, 1, 3, 5], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [1/2
, 1/2], [3, 3]]]], [[6, 2, 3, 1, 1], [v = 0, u = -2^(1/2), And(-3 < x,x < -1),
y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-2, -2], [-2, -2], [-3, -3]]]], [[6, 2, 3, 1, 2], [v = 0, u =
-2^(1/2), And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[
0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [-2, -2]]]], [[
6, 2, 3, 1, 3], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-2, -2], [-2, -2], [0, 0]]]], [[6, 2, 3, 1, 4], [v = 0, u = -
2^(1/2), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [2, 2]]]], [[6, 2,
3, 1, 5], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z
], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [-2,
-2], [3, 3]]]], [[6, 3, 10, 9, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, 0
< y, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1
, 1], [1, 1], [0, 0]]]], [[6, 8, 3, 2, 1], [v = 0, u = 1, And(-2 < x,x < -1),
y = -x-2, z < -2^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/2,
-1/2], [-3, -3]]]], [[6, 8, 3, 2, 2], [v = 0, u = 1, And(-2 < x,x < -1), y = -
x-2, z = -2^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/2, -1/2
], [-1482911/1048576, -741455/524288]]]], [[6, 8, 3, 2, 3], [v = 0, u = 1, And
(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0
, 0], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[6, 8, 3, 2, 4], [v = 0,
u = 1, And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[0, 0], [1
, 1], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[6, 8,
3, 2, 5], [v = 0, u = 1, And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[6, 10
, 1, 4, 1], [v = 0, u = 2^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1, 1], [-\
3, -3]]]], [[6, 10, 1, 4, 2], [v = 0, u = 2^(1/2), x < -3, y = -x-3, z = -3^(1
/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1,
1], [-1816187/1048576, -3632373/2097152]]]], [[6, 10, 1, 4, 3], [v = 0, u = 2^
(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0,
0], [741455/524288, 1482911/1048576], [-4, -4], [1, 1], [-1/4194304, -1/
4194304]]]], [[6, 10, 1, 4, 4], [v = 0, u = 2^(1/2), x < -3, y = -x-3, z = 3^(
1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [1
, 1], [908093/524288, 1816187/1048576]]]], [[6, 10, 1, 4, 5], [v = 0, u = 2^(1
/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [-4, -4], [1, 1], [3, 3]]]], [[7, 4, 1, 2, 1], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1
/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [0, 0], [-3, -3]]]], [
[7, 4, 1, 2, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, y = 0, z = -(-
x)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-\
3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[7, 4, 1, 2, 3], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (
-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576],
[-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[7, 4, 1, 2, 4], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/
2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [0, 0], [908093/524288,
1816187/1048576]]]], [[7, 4, 1, 2, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072,
-1172343/1048576], [-3, -3], [0, 0], [3, 3]]]], [[7, 5, 11, 1, 1], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(
1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2,
2], [-5, -5], [-3, -3]]]], [[7, 5, 11, 1, 2], [And(0 < v,v < 1), And(-(v^2+1)^
(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[7, 5, 11, 1, 3], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[7, 5, 11, 1, 4], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[7, 5, 11, 1
, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x
-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [2, 2], [-5, -5], [3, 3]]]], [[7, 13, 11, 9, 1], [And(0 < v,
v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[1/2
, 1/2], [3, 3], [9, 9], [1, 1], [0, 0]]]], [[8, 2, 7, 3, 1], [v = 1, u = -3^(1
/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-2,
-2], [-3, -3]]]], [[8, 2, 7, 3, 2], [v = 1, u = -3^(1/2), And(0 < x,x < 1), 
And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/
524288]]]], [[8, 2, 7, 3, 3], [v = 1, u = -3^(1/2), And(0 < x,x < 1), And(-x-3
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1]
, [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-2, -2], [0, 0]]]], [[8,
2, 7, 3, 4], [v = 1, u = -3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[8, 2, 7, 3, 5], [
v = 1, u = -3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [
-2, -2], [3, 3]]]], [[8, 8, 3, 4, 1], [v = 1, u = 0, And(-2 < x,x < -1), y = 0
, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [0, 0], [-3
, -3]]]], [[8, 8, 3, 4, 2], [v = 1, u = 0, And(-2 < x,x < -1), y = 0, z = -(-x
)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [0, 0], [-1284239/
1048576, -642119/524288]]]], [[8, 8, 3, 4, 3], [v = 1, u = 0, And(-2 < x,x < -\
1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [0,
0], [-3/2, -3/2], [0, 0], [0, 0]]]], [[8, 8, 3, 4, 4], [v = 1, u = 0, And(-2 <
x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/
2], [0, 0], [642119/524288, 1284239/1048576]]]], [[8, 8, 3, 4, 5], [v = 1, u =
0, And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [0, 0]
, [-3/2, -3/2], [0, 0], [3, 3]]]], [[8, 10, 2, 3, 1], [v = 1, u = 1, x = -1, 
And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1, -1]
, [1/2, 1/2], [-2, -2]]]], [[8, 10, 2, 3, 2], [v = 1, u = 1, x = -1, And(0 < y
,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-1, -1], [1/2, 1
/2], [-1482911/2097152, -741455/1048576]]]], [[8, 10, 2, 3, 3], [v = 1, u = 1,
x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 10, 2, 3
, 4], [v = 1, u = 1, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/
65536]]]], [[8, 10, 2, 3, 5], [v = 1, u = 1, x = -1, And(0 < y,y < 1), (1-y)^(
1/2) < z], [regular_chain, [[1, 1], [1, 1], [-1, -1], [1/2, 1/2], [2, 2]]]], [
[8, 14, 4, 6, 1], [v = 1, u = 3^(1/2), x = -1, y = 1, z < 0], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[8,
14, 4, 6, 2], [v = 1, u = 3^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [0, 0]]]], [[8, 14, 4,
6, 3], [v = 1, u = 3^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-1, -1], [1, 1], [1, 1]]]], [[9, 1, 1, 9, 1]
, [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, u^2-v^2-x-1 < y
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10,
-10], [18, 18], [0, 0]]]], [[9, 6, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v,
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 6, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u
= -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [
-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 6, 3, 5, 3], [And(1 < v,v < 2^(
1/2)), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743
/1048576, -1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 6, 3, 5
, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [
[9, 6, 3, 5, 5], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), And(0 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [2,
2]]]], [[9, 8, 4, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1,
y = 1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [1, 1], [-1, -1]]]], [[9, 8, 4, 6, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [1, 1], [0, 0]]]], [[9, 8, 4, 6, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1, 1
], [1, 1]]]], [[9, 8, 7, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 
And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [
[9, 10, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, 0 < y, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [0, 0], [1, 1], [0, 0]]]], [[9, 16, 3, 1, 1], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [-2, -2], [-3, -3]]]], [[9, 16, 3, 1, 2], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[9, 16, 3, 1, 3], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [-2, -2], [0, 0]]]], [[9, 16, 3, 1,
4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3,
z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [-2, -2], [2, 2]]]], [[9, 16, 3, 1,
5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3,
(-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [-2, -2], [3, 3]]]], [[9, 17, 11, 4,
1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-8, -8],
[-1, -1]]]], [[9, 17, 11, 4, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u
^2-v^2-1 < x, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [8, 8], [-8, -8], [0, 0]]]], [[9, 17, 11, 4, 3], [And(1 < v,
v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, 0 < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-8, -8], [1, 1]]]], [[
10, 4, 7, 7, 1], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), 0 < y, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 6, 7, 1, 1], [v = 2^(1/2), u =
-v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-3, -\
3]]]], [[10, 6, 7, 1, 2], [v = 2^(1/2), u = -v, 1 < x, y < -1-x, z = -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[10,
6, 7, 1, 3], [v = 2^(1/2), u = -v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [2, 2], [-4, -4], [0, 0]]]], [[10, 6, 7, 1, 4], [v =
2^(1/2), u = -v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4]
, [741455/524288, 1482911/1048576]]]], [[10, 6, 7, 1, 5], [v = 2^(1/2), u = -v
, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [3, 3]]]], [[
10, 12, 1, 2, 1], [v = 2^(1/2), u = 1, x < -2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [0, 0], [-\
3, -3]]]], [[10, 12, 1, 2, 2], [v = 2^(1/2), u = 1, x < -2, y = 0, z = -(-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [0
, 0], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 1, 2, 3], [v = 2^(1/2
), u = 1, x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[10, 12, 1, 2, 4], [v = 2^(1/2), u = 1, x < -2, y = 0, z = (-x)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [
0, 0], [908093/524288, 1816187/1048576]]]], [[10, 12, 1, 2, 5], [v = 2^(1/2),
u = 1, x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3, -3], [0, 0], [3, 3]]]], [[10, 13, 11, 5, 1], [v
= 2^(1/2), And(1 < u,u < v), 1 < x, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576], [-2, -2]]]], [
[10, 13, 11, 5, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(-u^2-x+1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [2, 2], [-2336807/1048576, -2336807/
1048576], [-501295/1048576, -250647/524288]]]], [[10, 13, 11, 5, 3], [v = 2^(1
/2), And(1 < u,u < v), 1 < x, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576
], [0, 0]]]], [[10, 13, 11, 5, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(
-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-2336807/
1048576, -2336807/1048576], [250647/524288, 501295/1048576]]]], [[10, 13, 11,
5, 5], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(-u^2-x+1 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576], [2, 2
]]]], [[11, 2, 6, 4, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, y = 0, z < 0
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [0, 0
], [-1, -1]]]], [[11, 2, 6, 4, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, y
= 0, z = 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0,
0], [0, 0], [0, 0]]]], [[11, 2, 6, 4, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x
= 0, y = 0, 0 < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [0, 0], [0, 0], [1, 1]]]], [[11, 4, 4, 6, 1], [2^(1/2) < v, u = -(v^
2+1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[3, 3], [-3315889/1048576,
-207243/65536], [-1, -1], [1, 1], [-1, -1]]]], [[11, 4, 4, 6, 2], [2^(1/2) < v
, u = -(v^2+1)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-1, -1], [1, 1], [0, 0]]]], [[11, 4, 4, 6, 3
], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[
3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [1, 1], [1, 1]]]], [[11, 
10, 1, 6, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y = -x, z < 0], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [4, 4]
, [-1, -1]]]], [[11, 10, 1, 6, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y
= -x, z = 0], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
-4, -4], [4, 4], [0, 0]]]], [[11, 10, 1, 6, 3], [2^(1/2) < v, u = -(v^2-2)^(1/
2), x < -3, y = -x, 0 < z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-4, -4], [4, 4], [1, 1]]]], [[11, 11, 9, 9, 1], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), -u^2+
v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [5, 5], [0,
0]]]], [[11, 15, 8, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0,
0 < y, z = z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0
, 0], [1, 1], [0, 0]]]], [[11, 17, 9, 8, 1], [2^(1/2) < v, And(v < u,u < (v^2+
1)^(1/2)), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 1, 2, 2, 1], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-5, -5], [-17, -17], [0, 0], [-6, -6]]]], [[1, 1,
2, 2, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [0, 0], [-\
2161695/524288, -4323389/1048576]]]], [[1, 1, 2, 2, 3], [v < -2^(1/2), u < -(v
^2+2)^(1/2), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [0, 0], [0, 0]]]],
[[1, 1, 2, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [0, 0],
[4323389/1048576, 2161695/524288]]]], [[1, 1, 2, 2, 5], [v < -2^(1/2), u < -(v
^2+2)^(1/2), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-3, -3], [-5, -5], [-17, -17], [0, 0], [6, 6]]]], [[1, 2, 8, 1, 1], [v < -2^(1
/2), u = -(v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[
-3, -3], [-1738867/524288, -3477733/1048576], [1, 1], [-5, -5], [-3, -3]]]], [
[1, 2, 8, 1, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, y < -4, z = -(-y-1)
^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1, 1
], [-5, -5], [-2, -2]]]], [[1, 2, 8, 1, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2),
x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3,
-3], [-1738867/524288, -3477733/1048576], [1, 1], [-5, -5], [0, 0]]]], [[1, 2,
8, 1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1, 1], [-5, -\
5], [2, 2]]]], [[1, 2, 8, 1, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, y <
-4, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [1, 1], [-5, -5], [3, 3]]]], [[1, 8, 5, 1, 1], [v < -2^(1/2), u = -(
v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-3, -3], [-3,
-3]]]], [[1, 8, 5, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0)
, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]
]]], [[1, 8, 5, 1, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y
< -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[1,
8, 5, 1, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[1, 8,
5, 1, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-
y)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304
], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[1, 10, 3, 1, 1], [v < -2^(1/2), u = -(
v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-2, -2], [-3, -3
]]]], [[1, 10, 3, 1, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1)
, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[1, 10, 3, 1, 3], [v < -2
^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [-2, -2], [0, 0]]]], [[1, 10, 3, 1, 4], [v < -2^(1/2), u =
-(v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-2,
-2], [2, 2]]]], [[1, 10, 3, 1, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 <
x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [-2, -2], [3, 3]]]], [[1, 13, 11, 5, 1],
[v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-x < y,y <
-u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [2, 2], [-915317/524288, -915317/524288], [0, 0]]]], [[1, 15, 10, 4,
1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [-2, -2]]]], [[1, 15, 10
, 4, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[1, 15, 10, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,
u < -v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [
-391287/262144, -1565147/1048576], [-1/4194304, -1/4194304]]]], [[1, 15, 10, 4
, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [367989/524288, 735979/
1048576]]]], [[1, 15, 10, 4, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576],
[2, 2]]]], [[1, 21, 6, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, And(-u^
2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [0, 0
], [-17/2, -17/2], [-4, -4]]]], [[1, 21, 6, 3, 2], [v < -2^(1/2), (v^2+2)^(1/2
) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-\
3, -3], [5, 5], [0, 0], [-17/2, -17/2], [-24456785/8388608, -1528549/524288]]]
], [[1, 21, 6, 3, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1
< y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [
5, 5], [0, 0], [-17/2, -17/2], [0, 0]]]], [[1, 21, 6, 3, 4], [v < -2^(1/2), (v
^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [-17/2, -17/2], [1528549/524288, 
3057099/1048576]]]], [[1, 21, 6, 3, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [5,
5], [0, 0], [-17/2, -17/2], [4, 4]]]], [[2, 2, 1, 2, 1], [v = -2^(1/2), u = -2
, x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [-4, -4], [0, 0], [-3, -3]]]], [[2, 2, 1, 2, 2], [v = -2^(
1/2), u = -2, x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-4, -4], [0, 0], [-2, -2]]]], [[2, 2, 1,
2, 3], [v = -2^(1/2), u = -2, x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4],
[0, 0], [0, 0]]]], [[2, 2, 1, 2, 4], [v = -2^(1/2), u = -2, x < -3, y = 0, z =
(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-\
4, -4], [0, 0], [2, 2]]]], [[2, 2, 1, 2, 5], [v = -2^(1/2), u = -2, x < -3, y
= 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2
, -2], [-4, -4], [0, 0], [3, 3]]]], [[2, 9, 11, 8, 1], [v = -2^(1/2), And(-1 <
u,u < 0), 1 < x, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[2, 11, 8, 7, 1], [v = -2^(
1/2), And(0 < u,u < 1), x = -u^2+1, 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [1, 1], [0, 0]]]], [[2, 17,
6, 6, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y = u^2-3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [0, 0], [505467/1048576, 126367/262144], [0, 0]]]], [[2, 19, 3, 7, 1
], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(-x < y,y < u^2-x-3), z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2],
[15/2, 15/2], [0, 0]]]], [[3, 3, 10, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [-1823847/524288, -3647693/1048576], [-3,
-3]]]], [[3, 3, 10, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [-1823847/524288, -3647693/1048576], [-3301741/
2097152, -825435/524288]]]], [[3, 3, 10, 2, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-1823847/
524288, -3647693/1048576], [0, 0]]]], [[3, 3, 10, 2, 4], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [1, 1], [-1823847/524288, -3647693/
1048576], [825435/524288, 1650871/1048576]]]], [[3, 3, 10, 2, 5], [And(-2^(1/2
) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2
-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-1823847/524288, -\
3647693/1048576], [3, 3]]]], [[3, 5, 9, 1, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[3, 5, 9, 1, 2], [And(-
2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^2
+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-3, -3], [-\
3315889/2097152, -207243/131072]]]], [[3, 5, 9, 1, 3], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-3, -3],
[0, 0]]]], [[3, 5, 9, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u
,u < v), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[3, 5, 9, 1, 5], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-3, -3], [3, 3]]]
], [[3, 11, 6, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [2, 2], [0, 0]]]], [[3, 13, 7, 4, 1], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-279171/
1048576, -139585/524288], [-2, -2]]]], [[3, 13, 7, 4, 2], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-\
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [-279171/1048576, -139585/524288], [-765155/1048576, -1530309/2097152]]]], [
[3, 13, 7, 4, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-279171/
1048576, -139585/524288], [-1/4194304, -1/4194304]]]], [[3, 13, 7, 4, 4], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0)
, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -\
139585/524288], [-279171/1048576, -139585/524288], [382577/524288, 765155/
1048576]]]], [[3, 13, 7, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [-279171/1048576, -139585/
524288], [2, 2]]]], [[3, 13, 10, 1, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1,
1], [-4, -4], [-3, -3]]]], [[3, 13, 10, 1, 2], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[3, 13, 10, 1, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1,
1], [-4, -4], [-1/4194304, -1/4194304]]]], [[3, 13, 10, 1, 4], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[3,
13, 10, 1, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1
, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-4, -4], [3, 3]
]]], [[3, 15, 8, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 
250983/524288], [1, 1], [0, 0]]]], [[4, 3, 8, 5, 1], [v = -1, And(-3^(1/2) < u
,u < -2^(1/2)), x = u^2-2, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[-1
, -1], [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576],
[-248903/1048576, -248903/1048576], [0, 0]]]], [[4, 5, 7, 4, 1], [v = -1, And(
-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = u^2-x-2, z < -(-u^2+2)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-284633/1048576, -35579/131072], [-2, -2]]]], [[4,
5, 7, 4, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = u^2-
x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579
/131072], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 7, 4, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = u^2-x-2, And(-(-u^2+2)^(1/
2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579
/131072], [-1/4194304, -1/4194304]]]], [[4, 5, 7, 4, 4], [v = -1, And(-2^(1/2)
< u,u < -1), And(u^2-2 < x,x < 0), y = u^2-x-2, z = (-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-284633/1048576, -35579/131072], [193151/262144, 
772605/1048576]]]], [[4, 5, 7, 4, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(u
^2-2 < x,x < 0), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
284633/1048576, -35579/131072], [2, 2]]]], [[4, 9, 10, 2, 1], [v = -1, And(0 <
u,u < 1), x = 1, y = u^2-3, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1/2, 1/2], [1, 1], [-11/4, -11/4], [-3, -3]]]], [[4, 9, 10, 2, 2], [v = -1, 
And(0 < u,u < 1), x = 1, y = u^2-3, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1
, -1], [1/2, 1/2], [1, 1], [-11/4, -11/4], [-10837/8192, -1387135/1048576]]]],
[[4, 9, 10, 2, 3], [v = -1, And(0 < u,u < 1), x = 1, y = u^2-3, And(-(-u^2+2)^
(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1],
[-11/4, -11/4], [0, 0]]]], [[4, 9, 10, 2, 4], [v = -1, And(0 < u,u < 1), x = 1
, y = u^2-3, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1
], [-11/4, -11/4], [1387135/1048576, 10837/8192]]]], [[4, 9, 10, 2, 5], [v = -\
1, And(0 < u,u < 1), x = 1, y = u^2-3, (-u^2+2)^(1/2) < z], [regular_chain, [[
-1, -1], [1/2, 1/2], [1, 1], [-11/4, -11/4], [3, 3]]]], [[4, 11, 10, 6, 1], [v
= -1, And(1 < u,u < 2^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-1, -1]
, [1265743/1048576, 1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[4, 11,
10, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-1, -1]
, [0, 0]]]], [[4, 11, 10, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, y = -\
1, 0 < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1,
1], [-1, -1], [1, 1]]]], [[5, 2, 1, 2, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1
/2), x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3
/2], [-4, -4], [0, 0], [-3, -3]]]], [[5, 2, 1, 2, 2], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-3/2, -3/2], [-4, -4], [0, 0], [-2, -2]]]], [[5, 2, 1, 2, 3], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [0, 0], [0, 0]]]], [[5,
2, 1, 2, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [0, 0], [2, 2]]]
], [[5, 2, 1, 2, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y = 0, (-
x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [0, 0],
[3, 3]]]], [[5, 3, 9, 3, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[1534619/2097152, 1534619/2097152], [-8235625/4194304, -8235625/4194304], [-3,
-3]]]], [[5, 3, 9, 3, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
1534619/2097152, 1534619/2097152], [-8235625/4194304, -8235625/4194304], [-\
1163761/1048576, -72735/65536]]]], [[5, 3, 9, 3, 3], [And(-1 < v,v < 0), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-
x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/
2097152], [-8235625/4194304, -8235625/4194304], [0, 0]]]], [[5, 3, 9, 3, 4], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/
2097152], [-8235625/4194304, -8235625/4194304], [72735/65536, 1163761/1048576]
]]], [[5, 3, 9, 3, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
1534619/2097152, 1534619/2097152], [-8235625/4194304, -8235625/4194304], [3, 3
]]]], [[5, 12, 1, 1, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [-1,
-1], [-4, -4]]]], [[5, 12, 1, 1, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x
< -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-\
4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[5, 12, 1, 1, 3], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [-1, -1],
[0, 0]]]], [[5, 12, 1, 1, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y
< 0, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [
-1, -1], [2344687/1048576, 146543/65536]]]], [[5, 12, 1, 1, 5], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [3/2, 3/2], [-4, -4], [-1, -1], [4, 4]]]], [[5, 13, 8, 9, 1], [And
(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, u^2-v^2-2 < y, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [8, 8], [0, 0]]]], [[6, 5, 10, 7
, 1], [v = 0, And(-1 < u,u < 0), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-1/2, -1/2], [0, 0]]]], [[6, 7,
11, 2, 1], [v = 0, And(0 < u,u < 1), 1 < x, y = -u^2-x-1, z < -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-13/4, -13/4], [-3, -3]]]], [[6,
7, 11, 2, 2], [v = 0, And(0 < u,u < 1), 1 < x, y = -u^2-x-1, z = -(u^2+1)^(1/2
)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-13/4, -13/4], [-146543/
131072, -1172343/1048576]]]], [[6, 7, 11, 2, 3], [v = 0, And(0 < u,u < 1), 1 <
x, y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [
[0, 0], [1/2, 1/2], [2, 2], [-13/4, -13/4], [0, 0]]]], [[6, 7, 11, 2, 4], [v =
0, And(0 < u,u < 1), 1 < x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain,
[[0, 0], [1/2, 1/2], [2, 2], [-13/4, -13/4], [1172343/1048576, 146543/131072]]
]], [[6, 7, 11, 2, 5], [v = 0, And(0 < u,u < 1), 1 < x, y = -u^2-x-1, (u^2+1)^
(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-13/4, -13/4], [3, 3
]]]], [[6, 11, 10, 2, 1], [v = 0, 2^(1/2) < u, x = u^2-1, y = -2*u^2, z < -(u^
2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [8, 8], [-18, -18], [-5, -5]]]],
[[6, 11, 10, 2, 2], [v = 0, 2^(1/2) < u, x = u^2-1, y = -2*u^2, z = -(u^2+1)^(
1/2)], [regular_chain, [[0, 0], [3, 3], [8, 8], [-18, -18], [-3315889/1048576,
-207243/65536]]]], [[6, 11, 10, 2, 3], [v = 0, 2^(1/2) < u, x = u^2-1, y = -2*
u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [3,
3], [8, 8], [-18, -18], [0, 0]]]], [[6, 11, 10, 2, 4], [v = 0, 2^(1/2) < u, x
= u^2-1, y = -2*u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [8,
8], [-18, -18], [207243/65536, 3315889/1048576]]]], [[6, 11, 10, 2, 5], [v = 0
, 2^(1/2) < u, x = u^2-1, y = -2*u^2, (u^2+1)^(1/2) < z], [regular_chain, [[0,
0], [3, 3], [8, 8], [-18, -18], [5, 5]]]], [[7, 2, 5, 1, 1], [And(0 < v,v < 1)
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-4, -4], [-4, -4]]]],
[[7, 2, 5, 1, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y
< -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2,
-1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[7, 2, 5, 1, 3], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/
2, -1/2], [-4, -4], [0, 0]]]], [[7, 2, 5, 1, 4], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/
524288]]]], [[7, 2, 5, 1, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 <
x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/
2], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[7, 8, 1, 4, 1], [And(0 < v,v < 1), u
= v, x < -1, y = -1-x, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2,
-2], [1, 1], [-2, -2]]]], [[7, 8, 1, 4, 2], [And(0 < v,v < 1), u = v, x < -1,
y = -1-x, z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1, 1],
[-1, -1]]]], [[7, 8, 1, 4, 3], [And(0 < v,v < 1), u = v, x < -1, y = -1-x, And
(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1, 1], [0
, 0]]]], [[7, 8, 1, 4, 4], [And(0 < v,v < 1), u = v, x < -1, y = -1-x, z = 1],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1, 1], [1, 1]]]], [[7, 8,
1, 4, 5], [And(0 < v,v < 1), u = v, x < -1, y = -1-x, 1 < z], [regular_chain,
[[1/2, 1/2], [1/2, 1/2], [-2, -2], [1, 1], [2, 2]]]], [[7, 10, 2, 1, 1], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2], [-1, -\
1], [-3, -3]]]], [[7, 10, 2, 1, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x =
-2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [
[7, 10, 2, 1, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, y < 0, And(-(2
-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576
, 146543/131072], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[7, 10, 2,
1, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-2, -2], [-1,
-1], [908093/524288, 1816187/1048576]]]], [[7, 10, 2, 1, 5], [And(0 < v,v < 1)
, u = (v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[1/2, 1
/2], [1172343/1048576, 146543/131072], [-2, -2], [-1, -1], [3, 3]]]], [[7, 10,
5, 2, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z
< -2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-\
1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[7, 10, 5, 2, 2], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [
[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[7, 10, 5, 2, 3], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [-\
3/2, -3/2], [0, 0]]]], [[7, 10, 5, 2, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 
1482911/1048576]]]], [[7, 10, 5, 2, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2),
And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[7, 
12, 3, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x
, z < 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [2, 2], [-1, -1]]
]], [[7, 12, 3, 6, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1
), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [2, 2],
[0, 0]]]], [[7, 12, 3, 6, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x
,x < -1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [
2, 2], [1, 1]]]], [[8, 4, 3, 2, 1], [v = 1, u = -2^(1/2), And(-2 < x,x < -1),
y = -x-2, z < -2^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[8, 4, 3, 2, 2], [v = 1, u
= -2^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[8, 4, 3, 2, 3], [v = 1, u = -2^(1/2), And(-2 <
x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1],
[-1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[8
, 4, 3, 2, 4], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)
], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2],
[-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[8, 4, 3, 2, 5], [v = 1, u
= -2^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1, 1
], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]],
[[8, 6, 2, 1, 1], [v = 1, u = -1, x = -1, y < 0, z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1, -1], [-1, -1], [-3, -3]]]], [[8, 6, 2,
1, 2], [v = 1, u = -1, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[1,
1], [-1, -1], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[8,
6, 2, 1, 3], [v = 1, u = -1, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [-1, -1], [0, 0]]]], [[8, 6
, 2, 1, 4], [v = 1, u = -1, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [
[1, 1], [-1, -1], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[8
, 6, 2, 1, 5], [v = 1, u = -1, x = -1, y < 0, (1-y)^(1/2) < z], [regular_chain
, [[1, 1], [-1, -1], [-1, -1], [-1, -1], [3, 3]]]], [[8, 10, 5, 5, 1], [v = 1,
u = 1, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [
1, 1], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[8, 12, 6, 4, 1], [v = 1, u = 2^(
1/2), x = 0, y = 0, z < 0], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[8, 12, 6, 4, 2], [v = 1, u = 2^(1/2),
x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576
], [0, 0], [0, 0], [0, 0]]]], [[8, 12, 6, 4, 3], [v = 1, u = 2^(1/2), x = 0, y
= 0, 0 < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0]
, [0, 0], [1, 1]]]], [[9, 2, 6, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-3, -3], [-3, -3]]]]
, [[9, 2, 6, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, y = -3
, z = -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 2, 6, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-3,
-3], [-1/4194304, -1/4194304]]]], [[9, 2, 6, 2, 4], [And(1 < v,v < 2^(1/2)), u
= -(v^2+2)^(1/2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-3,
-3], [908093/524288, 1816187/1048576]]]], [[9, 2, 6, 2, 5], [And(1 < v,v < 2^(
1/2)), u = -(v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0
], [-3, -3], [3, 3]]]], [[9, 4, 4, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1
)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1, -1], [0, 0], [-2, -2]]]], [
[9, 4, 4, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = 0, z
= -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[9, 4, 4, 4, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1, -1], [0, 0], [0, 0]]]], [[9, 4, 4, 4, 4], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [0, 0
], [1, 1]]]], [[9, 4, 4, 4, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x
= -1, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1, -1], [0, 0], [2, 2]]]], [[9, 12, 6, 1,
1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, y < -2, z < -(-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-3, -3], [-3, -3]]]], [[9, 12, 6, 1, 2], [And(1 < v,v < 2^(
1/2)), u = v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3, -3
], [-1482911/1048576, -741455/524288]]]], [[9, 12, 6, 1, 3], [And(1 < v,v < 2^
(1/2)), u = v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-3, -3], [0, 0]]]], [[9, 12, 6, 1, 4], [And(1 < v,v < 2^(1/
2)), u = v, x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3, -3
], [741455/524288, 1482911/1048576]]]], [[9, 12, 6, 1, 5], [And(1 < v,v < 2^(1
/2)), u = v, x = 1, y < -2, (-y-1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3, -3
], [3, 3]]]], [[9, 14, 7, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2],
[-3, -3]]]], [[9, 14, 7, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2],
[-1482911/1048576, -741455/524288]]]], [[9, 14, 7, 2, 3], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[9, 14, 7, 2, 4], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[9, 
14, 7, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), y
= -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[10, 2,
6, 5, 1], [v = 2^(1/2), u = -2, x = 0, And(0 < y,y < 1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [1/2, 1/2]
, [0, 0]]]], [[10, 4, 4, 7, 1], [v = 2^(1/2), u = -3^(1/2), x = -1, 1 < y, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [2, 2], [0, 0]]]], [[10, 8, 8, 2, 1], [v = 2^(1/2)
, u = -1, x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [1, 1], [-3, -3], [-3, -3]]]], [[10, 8, 8, 2, 2],
[v = 2^(1/2), u = -1, x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[10, 8, 8, 2, 3], [v = 2^(1/2), u = -1, x = 1, y = -3, And
(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1, -1], [1, 1], [-3, -3], [0, 0]]]], [[10, 8, 8, 2, 4], [v = 2^(1/2), u =
-1, x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[
10, 8, 8, 2, 5], [v = 2^(1/2), u = -1, x = 1, y = -3, 2^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-3, -3],
[3, 3]]]], [[10, 10, 5, 7, 1], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(-x
< y,y < 1-x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [-1/2, -1/2], [1, 1], [0, 0]]]], [[10, 16, 1, 4, 1], [v = 2^(1/2), u = 3^(1
/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[
10, 16, 1, 4, 2], [v = 2^(1/2), u = 3^(1/2), x < -2, y = -x-2, z = -2^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[10, 16, 1
, 4, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3, -3], [1, 1], [0, 0]]]], [[10, 16, 1, 4, 4], [v = 2^(1/2
), u = 3^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [1, 1],
[741455/524288, 1482911/1048576]]]], [[10, 16, 1, 4, 5], [v = 2^(1/2), u = 3^(
1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [3, 3]]]], [[10
, 17, 11, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(u^2-x-3 < y,
y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [2, 2], [-3183369/4194304, -3183369/4194304], [0, 0
]]]], [[10, 18, 2, 7, 1], [v = 2^(1/2), u = 2, x = -3, 4 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [5, 5], [0
, 0]]]], [[10, 19, 11, 3, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, And(-u^2-x+1 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3, 3], [7, 7], [-11, -11], [-3, -3]]]], [[10, 19, 11, 3, 2], [v = 2^(1/2),
2 < u, u^2-3 < x, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-11, -11], [-2, -2]]]],
[[10, 19, 11, 3, 3], [v = 2^(1/2), 2 < u, u^2-3 < x, And(-u^2-x+1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [7, 7], [-11, -11], [0, 0]]]], [[10, 19, 11, 3, 4],
[v = 2^(1/2), 2 < u, u^2-3 < x, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-11, -11],
[2, 2]]]], [[10, 19, 11, 3, 5], [v = 2^(1/2), 2 < u, u^2-3 < x, And(-u^2-x+1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [3, 3], [7, 7], [-11, -11], [3, 3]]]], [[11, 6, 1, 4, 1], [2^(1/2) < v, u =
-v, x < -1, y = -1-x, z < -1], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1
, 1], [-2, -2]]]], [[11, 6, 1, 4, 2], [2^(1/2) < v, u = -v, x < -1, y = -1-x,
z = -1], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1], [-1, -1]]]], [[
11, 6, 1, 4, 3], [2^(1/2) < v, u = -v, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1], [0, 0]]]], [[11, 6, 1, 4,
4], [2^(1/2) < v, u = -v, x < -1, y = -1-x, z = 1], [regular_chain, [[3, 3], [
-3, -3], [-2, -2], [1, 1], [1, 1]]]], [[11, 6, 1, 4, 5], [2^(1/2) < v, u = -v,
x < -1, y = -1-x, 1 < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1, 1],
[2, 2]]]], [[11, 8, 2, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, 2 < y,
z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -\
2], [3, 3], [0, 0]]]], [[11, 12, 1, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x
< -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-4, -4], [-1, -1], [-4, -4]]]], [[11, 12, 1, 1, 2], [2^(1/2) < v
, u = (v^2-2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [2774271/1048576, 10837/4096], [-4, -4], [-1, -1], [-146543/65536, -2344687
/1048576]]]], [[11, 12, 1, 1, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y <
0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [2774271
/1048576, 10837/4096], [-4, -4], [-1, -1], [0, 0]]]], [[11, 12, 1, 1, 4], [2^(
1/2) < v, u = (v^2-2)^(1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain,
[[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [-1, -1], [2344687/1048576,
146543/65536]]]], [[11, 12, 1, 1, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3,
y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-4, -4], [-1, -1], [4, 4]]]], [[11, 13, 9, 6, 1], [2^(1/2) < v, And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-\
1, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613
/2097152, 1581613/2097152], [-257771/1048576, -128885/524288], [0, 0]]]], [[11
, 19, 7, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0
< x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-391655/262144, -391655/262144], [-3, -3]]]], [[11, 19, 7, 3,
2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-
v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-\
391655/262144, -391655/262144], [-1170947/1048576, -585473/524288]]]], [[11, 
19, 7, 3, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 <
x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
129511/524288, 129511/524288], [-391655/262144, -391655/262144], [0, 0]]]], [[
11, 19, 7, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-391655/262144, -391655/262144], [585473/524288, 1170947/
1048576]]]], [[11, 19, 7, 3, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/
524288, 129511/524288], [-391655/262144, -391655/262144], [3, 3]]]], [[11, 21,
4, 6, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y = 1, z < 0], [
regular_chain, [[3, 3], [5, 5], [-1, -1], [1, 1], [-1, -1]]]], [[11, 21, 4, 6,
2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y = 1, z = 0], [regular_chain, [[
3, 3], [5, 5], [-1, -1], [1, 1], [0, 0]]]], [[11, 21, 4, 6, 3], [2^(1/2) < v,
(v^2+2)^(1/2) < u, x = -1, y = 1, 0 < z], [regular_chain, [[3, 3], [5, 5], [-1
, -1], [1, 1], [1, 1]]]], [[1, 4, 7, 3, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2),
And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-3/2, -3/2], [-2, -2]
]]], [[1, 4, 7, 3, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), 
And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889
/1048576, -207243/65536], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[1, 4, 7, 3,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889
/1048576, -207243/65536], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[1, 4, 7, 3, 4
], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536
], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[1, 4, 7, 3, 5], [v < -2^(1/2), u = -
(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-3/2
, -3/2], [2, 2]]]], [[1, 6, 5, 7, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1),
0 < y, z = z], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [1, 1], [0, 0]
]]], [[1, 11, 11, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/
2)), -u^2+v^2-1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9],
[1, 1], [0, 0]]]], [[1, 13, 9, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [-5, -5], [-4, -4]]]], [[1, 13, 9, 1, 2], [v < -2^(
1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y <
u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [1581613/2097152, 1581613/2097152], [-5, -5], [-1080317/
524288, -2160633/1048576]]]], [[1, 13, 9, 1, 3], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288
, 1435023/524288], [1581613/2097152, 1581613/2097152], [-5, -5], [0, 0]]]], [[
1, 13, 9, 1, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(
-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [1581613/2097152, 1581613/2097152],
[-5, -5], [2160633/1048576, 1080317/524288]]]], [[1, 13, 9, 1, 5], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u
^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [1581613/2097152, 1581613/2097152], [-5, -5], [4, 4]]]], [[1,
17, 11, 6, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, z
< 0], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [-2,
-2], [-1, -1]]]], [[1, 17, 11, 6, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1
/2)), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [403851/131072, 403851
/131072], [2, 2], [-2, -2], [0, 0]]]], [[1, 17, 11, 6, 3], [v < -2^(1/2), And(
-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [2, 2], [-2, -2], [1, 1]]]], [[1, 19, 10, 5, 1]
, [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-1 < y,y
< u^2-v^2-2), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1, 1], [-394777/524288, -394777/524288], [0, 0]]]], [[2, 3, 10, 3,
1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(-u^2 < y,y < -1), z <
-(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339
/2097152, -3913339/2097152], [1, 1], [-4699771/2097152, -4699771/2097152], [-3
, -3]]]], [[2, 3, 10, 3, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, 
And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [-4699771/
2097152, -4699771/2097152], [-4563/4096, -1168127/1048576]]]], [[2, 3, 10, 3,
3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(-u^2 < y,y < -1), And(
-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1], [-4699771/
2097152, -4699771/2097152], [0, 0]]]], [[2, 3, 10, 3, 4], [v = -2^(1/2), And(-\
2 < u,u < -3^(1/2)), x = 1, And(-u^2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-4699771/2097152, -4699771/2097152], [1168127/
1048576, 4563/4096]]]], [[2, 3, 10, 3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), x = 1, And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [1, 1]
, [-4699771/2097152, -4699771/2097152], [3, 3]]]], [[2, 5, 9, 2, 1], [v = -2^(
1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [1/2, 1/2], [-66261453/33554432, -16565363/8388608], [-3, -\
3]]]], [[2, 5, 9, 2, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x <
1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-66261453/
33554432, -16565363/8388608], [-636691/524288, -1273381/1048576]]]], [[2, 5, 9
, 2, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2-x+
1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-\
66261453/33554432, -16565363/8388608], [0, 0]]]], [[2, 5, 9, 2, 4], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-66261453/33554432, -16565363/8388608], [
1273381/1048576, 636691/524288]]]], [[2, 5, 9, 2, 5], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), And(0 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-66261453/33554432, -16565363/8388608], [3, 3]]
]], [[2, 5, 11, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(u^2-
x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-9490147/
4194304, -9490147/4194304], [-2, -2]]]], [[2, 5, 11, 5, 2], [v = -2^(1/2), And
(-3^(1/2) < u,u < v), 1 < x, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-9490147/4194304, -9490147/4194304], [-268683/
524288, -1074731/2097152]]]], [[2, 5, 11, 5, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), 1 < x, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [2, 2], [-9490147/4194304, -9490147/4194304], [-1/4194304,
-1/4194304]]]], [[2, 5, 11, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 <
x, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
9490147/4194304, -9490147/4194304], [537365/1048576, 268683/524288]]]], [[2, 5
, 11, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(u^2-x-3 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [2, 2], [-9490147/4194304, -9490147/
4194304], [2, 2]]]], [[2, 7, 11, 9, 1], [v = -2^(1/2), And(v < u,u < -1), 1 <
x, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[2, 13, 6, 5,
1], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, And(0 < y,y < u^2-1), z < -(
u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743
/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [239655/1048576
, 239655/1048576], [-2, -2]]]], [[2, 13, 6, 5, 2], [v = -2^(1/2), And(1 < u,u
< -v), x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
479311/1048576, -239655/524288], [239655/1048576, 239655/1048576], [-31331/
65536, -501295/1048576]]]], [[2, 13, 6, 5, 3], [v = -2^(1/2), And(1 < u,u < -v
), x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576,
1265743/1048576], [-479311/1048576, -239655/524288], [239655/1048576, 239655/
1048576], [0, 0]]]], [[2, 13, 6, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x =
-u^2+1, And(0 < y,y < u^2-1), z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311/
1048576, -239655/524288], [239655/1048576, 239655/1048576], [501295/1048576, 
31331/65536]]]], [[2, 13, 6, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2
+1, And(0 < y,y < u^2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576
, -239655/524288], [239655/1048576, 239655/1048576], [2, 2]]]], [[2, 15, 7, 2,
1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1
, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
1270997/1048576, -317749/262144], [-3, -3]]]], [[2, 15, 7, 2, 2], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-275385/1048576, -275385/1048576], [-1270997/1048576, -\
317749/262144], [-1273381/1048576, -318345/262144]]]], [[2, 15, 7, 2, 3], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, And(-(u
^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [-1270997/1048576, -317749/262144], [0, 0]]]], [[2, 15, 7, 2, 4], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, z = (
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-1270997/
1048576, -317749/262144], [318345/262144, 1273381/1048576]]]], [[2, 15, 7, 2,
5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1
, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
1270997/1048576, -317749/262144], [3, 3]]]], [[2, 19, 6, 2, 1], [v = -2^(1/2),
2 < u, x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [0, 0], [-8, -8], [-4, -4]]]], [[2, 19, 6, 2
, 2], [v = -2^(1/2), 2 < u, x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [-8, -8],
[-2965821/1048576, -11863283/4194304]]]], [[2, 19, 6, 2, 3], [v = -2^(1/2), 2
< u, x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [-8, -8],
[-3/8388608, -3/8388608]]]], [[2, 19, 6, 2, 4], [v = -2^(1/2), 2 < u, x = 0, y
= -u^2+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [0, 0], [-8, -8], [741455/262144, 2965821/1048576]]]], [[2, 
19, 6, 2, 5], [v = -2^(1/2), 2 < u, x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [-8, -8],
[4, 4]]]], [[3, 2, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x
< -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [-1, -1], [-4, -4]]]
], [[3, 2, 1, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y
< 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [-4, -4], [-1, -1], [-146543/65536, -\
2344687/1048576]]]], [[3, 2, 1, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [-1, -1], [0, 0]]]], [[3, 2, 1, 1, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[3,
2, 1, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y < 0, (-x
-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-4, -4], [-1, -1], [4, 4]]]], [[3, 7, 8,
4, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u
^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-450371/
1048576, -225185/524288], [-2, -2]]]], [[3, 7, 8, 4, 2], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [0, 0], [-450371/1048576, -225185/524288], [-1374407/
2097152, -687203/1048576]]]], [[3, 7, 8, 4, 3], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [0, 0], [-450371/1048576, -225185/
524288], [0, 0]]]], [[3, 7, 8, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[0, 0], [-450371/1048576, -225185/524288], [687203/1048576, 171801/262144]]]],
[[3, 7, 8, 4, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x
= 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-\
450371/1048576, -225185/524288], [2, 2]]]], [[3, 9, 7, 3, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1
), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-\
6111545/4194304, -6111545/4194304], [-3, -3]]]], [[3, 9, 7, 3, 2], [And(-2^(1/
2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+
v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576],
[-6111545/4194304, -6111545/4194304], [-1162243/1048576, -581121/524288]]]], [
[3, 9, 7, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [-6111545/4194304, -\
6111545/4194304], [0, 0]]]], [[3, 9, 7, 3, 4], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-
x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-6111545/4194304,
-6111545/4194304], [581121/524288, 1162243/1048576]]]], [[3, 9, 7, 3, 5], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x
< -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576
], [-6111545/4194304, -6111545/4194304], [3, 3]]]], [[3, 17, 6, 6, 1], [And(-2
^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, y = u^2-v^2-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [6860721
/1048576, 3430361/524288], [0, 0]]]], [[4, 2, 1, 5, 1], [v = -1, u = -3^(1/2),
x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
-1816187/1048576, -3632373/2097152], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[4, 2
, 1, 5, 2], [v = -1, u = -3^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -\
4], [5/2, 5/2], [-1284239/1048576, -642119/524288]]]], [[4, 2, 1, 5, 3], [v =
-1, u = -3^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [
-4, -4], [5/2, 5/2], [0, 0]]]], [[4, 2, 1, 5, 4], [v = -1, u = -3^(1/2), x < -\
3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-4, -4], [5/2, 5/2], [642119/524288, 
1284239/1048576]]]], [[4, 2, 1, 5, 5], [v = -1, u = -3^(1/2), x < -3, And(-x-3
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576,
-3632373/2097152], [-4, -4], [5/2, 5/2], [3, 3]]]], [[4, 7, 8, 6, 1], [v = -1,
And(-1 < u,u < 0), x = 0, y = 0, z < 0], [regular_chain, [[-1, -1], [-1/2, -1/
2], [0, 0], [0, 0], [-1, -1]]]], [[4, 7, 8, 6, 2], [v = -1, And(-1 < u,u < 0),
x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [0, 0],
[0, 0]]]], [[4, 7, 8, 6, 3], [v = -1, And(-1 < u,u < 0), x = 0, y = 0, 0 < z],
[regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]], [[4, 9, 7,
5, 1], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/
16, -1/16], [-2, -2]]]], [[4, 9, 7, 5, 2], [v = -1, And(0 < u,u < 1), And(-u^2
< x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [-454047/1048576, -227023/524288
]]]], [[4, 9, 7, 5, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(-u
^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [0, 0]]]], [[4, 9, 7, 5, 4],
[v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), z = (-x
-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16
], [227023/524288, 454047/1048576]]]], [[4, 9, 7, 5, 5], [v = -1, And(0 < u,u
< 1), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [2, 2]]]],
[[4, 13, 10, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(-1 < y,y
< u^2-3), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [1, 1], [-3198693/4194304, -3198693/4194304], [0, 0]]]], [[4, 15, 7, 4, 1],
[v = -1, 3^(1/2) < u, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1,
-1], [3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[4, 15, 7, 4, 2], [v = -1
, 3^(1/2) < u, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1, -1], [3
, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 15, 7, 4, 3], [v = -1, 3^(1/2)
< u, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1, -1], [3, 3], [1/2
, 1/2], [-1/2, -1/2], [1, 1]]]], [[5, 5, 8, 7, 1], [And(-1 < v,v < 0), And(-(v
^2+1)^(1/2) < u,u < v), x = 0, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [
-1696631/2097152, -1696631/2097152], [0, 0], [1, 1], [0, 0]]]], [[5, 7, 9, 4,
1], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-\
5/4, -5/4], [-2, -2]]]], [[5, 7, 9, 4, 2], [And(-1 < v,v < 0), And(v < u,u < -
v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-5/4, -5/4], [-1816187/
2097152, -3632373/4194304]]]], [[5, 7, 9, 4, 3], [And(-1 < v,v < 0), And(v < u
,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-5/4,
-5/4], [-1/8388608, -1/8388608]]]], [[5, 7, 9, 4, 4], [And(-1 < v,v < 0), And(
v < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-5/4, -5/4], [908093/
1048576, 454047/524288]]]], [[5, 7, 9, 4, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-5/4, -5/4], [2, 2]]]], [[5
, 7, 11, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 1 < x, 0 < y, z = z], [
regular_chain, [[-1/2, -1/2], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[5, 10, 1, 4
, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [1,
1], [-3, -3]]]], [[5, 10, 1, 4, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x <
-2, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[5,
10, 1, 4, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x < -2, y = -x-2, And(-2^
(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-3, -3], [1, 1], [0, 0]]]], [[5, 10, 1, 4, 4], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1/
2, -1/2], [1172343/1048576, 146543/131072], [-3, -3], [1, 1], [741455/524288,
1482911/1048576]]]], [[5, 10, 1, 4, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-3, -3], [1, 1], [3, 3]]]], [[6, 2, 2, 7, 1], [v = 0
, u = -2^(1/2), x = -3, 4 < y, z = z], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-3, -3], [5, 5], [0, 0]]]], [[6, 3, 10, 8, 1], [v =
0, And(-2^(1/2) < u,u < -1), x = 1, y = 0, z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[6, 8, 3, 3, 1
], [v = 0, u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[6,
8, 3, 3, 2], [v = 0, u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-
y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [-\
10837/8192, -1387135/1048576]]]], [[6, 8, 3, 3, 3], [v = 0, u = 1, And(-2 < x,
x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[6, 8,
3, 3, 4], [v = 0, u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(
1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [1387135/
1048576, 10837/8192]]]], [[6, 8, 3, 3, 5], [v = 0, u = 1, And(-2 < x,x < -1),
And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/2
, -3/2], [-1/4, -1/4], [3, 3]]]], [[6, 10, 1, 5, 1], [v = 0, u = 2^(1/2), x <
-3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455
/524288, 1482911/1048576], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[6, 10, 1, 5, 2
], [v = 0, u = 2^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [5/2, 5/2]
, [-1284239/1048576, -642119/524288]]]], [[6, 10, 1, 5, 3], [v = 0, u = 2^(1/2
), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [5/2, 5/2]
, [0, 0]]]], [[6, 10, 1, 5, 4], [v = 0, u = 2^(1/2), x < -3, And(-x-3 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[6, 10,
1, 5, 5], [v = 0, u = 2^(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [5/2, 5
/2], [3, 3]]]], [[7, 4, 1, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -\
2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[7, 4, 1, 1, 2], [And(0 <
v,v < 1), u = -(v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-1,
-1], [-2, -2]]]], [[7, 4, 1, 1, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x <
-2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/
2], [-146543/131072, -1172343/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[7, 4,
1, 1, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3]
, [-1, -1], [2, 2]]]], [[7, 4, 1, 1, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[7, 5, 10, 9, 1], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, 0 < y, z = z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [1,
1], [0, 0]]]], [[7, 13, 11, 8, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v
^2-1 < x, y = 0, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [0, 0],
[0, 0]]]], [[8, 2, 7, 2, 1], [v = 1, u = -3^(1/2), And(0 < x,x < 1), y = -x-3,
z < -3^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[8, 2, 7, 2, 2], [v = 1, u = -3^(1/2),
And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 2, 7, 2, 3], [v = 1, u = -3^(1/2), And(0 < x,x < 1),
y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]
]]], [[8, 2, 7, 2, 4], [v = 1, u = -3^(1/2), And(0 < x,x < 1), y = -x-3, z = 3
^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2,
1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[8, 2, 7, 2, 5], [v
= 1, u = -3^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [
[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-7/2, -7/2], [3, 3]
]]], [[8, 8, 3, 5, 1], [v = 1, u = 0, And(-2 < x,x < -1), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [3/4, 3/4], [
-2, -2]]]], [[8, 8, 3, 5, 2], [v = 1, u = 0, And(-2 < x,x < -1), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [3/4,
3/4], [-1816187/2097152, -3632373/4194304]]]], [[8, 8, 3, 5, 3], [v = 1, u = 0
, And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -\
1/8388608]]]], [[8, 8, 3, 5, 4], [v = 1, u = 0, And(-2 < x,x < -1), And(0 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [3/
4, 3/4], [908093/1048576, 454047/524288]]]], [[8, 8, 3, 5, 5], [v = 1, u = 0,
And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1,
1], [0, 0], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[8, 10, 2, 4, 1], [v = 1, u
= 1, x = -1, y = 1, z < 0], [regular_chain, [[1, 1], [1, 1], [-1, -1], [1, 1],
[-1, -1]]]], [[8, 10, 2, 4, 2], [v = 1, u = 1, x = -1, y = 1, z = 0], [
regular_chain, [[1, 1], [1, 1], [-1, -1], [1, 1], [0, 0]]]], [[8, 10, 2, 4, 3]
, [v = 1, u = 1, x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [1, 1], [-1,
-1], [1, 1], [1, 1]]]], [[8, 14, 4, 5, 1], [v = 1, u = 3^(1/2), x = -1, And(0
< y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[8, 14, 4, 5, 2], [v = 1
, u = 3^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[8, 14, 4, 5, 3], [v = 1, u = 3^(1/2), x = -1,
And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 14
, 4, 5, 4], [v = 1, u = 3^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2]
, [741455/1048576, 46341/65536]]]], [[8, 14, 4, 5, 5], [v = 1, u = 3^(1/2), x
= -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[9, 1, 1, 8, 1], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = u^2-v^2-x-1, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10
], [17346481/1048576, 8673241/524288], [0, 0]]]], [[9, 6, 3, 6, 1], [And(1 < v
,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [1/2, 1/2], [-1, -1]]]], [[9, 6, 3, 6, 2], [And(1 < v,v < 2^(1/2)), u
= -v, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/2, 1/
2], [0, 0]]]], [[9, 6, 3, 6, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x
< 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[9,
8, 4, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [2, 2], [0, 0]]]], [[9, 8, 7, 5, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9, 10, 6, 4, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [0, 0], [
-1, -1]]]], [[9, 10, 6, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x =
0, y = 0, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469
/524288, 708939/1048576], [0, 0], [0, 0], [0, 0]]]], [[9, 10, 6, 4, 3], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [0
, 0], [1, 1]]]], [[9, 16, 3, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2)
, And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [-1, -1]
, [-3, -3]]]], [[9, 16, 3, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [-1, -1], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 16, 3, 2, 3], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[9, 16, 3,
2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-\
3, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]
]], [[9, 16, 3, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,
x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[9,
17, 11, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(
-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [8, 8], [-9916495/2097152, -9916495/2097152], [0, 0]]]], [[
10, 4, 7, 6, 1], [v = 2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y = 0, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 6, 6, 7, 1], [v = 2^(1/2), u =
-v, x = 1, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1482911/1048576, -741455/524288], [1, 1], [1, 1], [0, 0]]]], [[10, 12, 1, 3,
1], [v = 2^(1/2), u = 1, x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [1/2, 1/2]
, [-3, -3]]]], [[10, 12, 1, 3, 2], [v = 2^(1/2), u = 1, x < -2, And(0 < y,y <
-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[10, 12,
1, 3, 3], [v = 2^(1/2), u = 1, x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1,
1], [-3, -3], [1/2, 1/2], [0, 0]]]], [[10, 12, 1, 3, 4], [v = 2^(1/2), u = 1,
x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-3, -3], [1/2, 1/2], [207243/131072, 
1657945/1048576]]]], [[10, 12, 1, 3, 5], [v = 2^(1/2), u = 1, x < -2, And(0 <
y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3, -3], [1/2, 1/2], [3, 3]]]], [[10, 13, 11, 6, 1], [v = 2
^(1/2), And(1 < u,u < v), 1 < x, y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -2]
, [-1, -1]]]], [[10, 13, 11, 6, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y =
-x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-2, -2], [0, 0]]]], [[10, 13, 11, 6, 3], [
v = 2^(1/2), And(1 < u,u < v), 1 < x, y = -x, 0 < z], [regular_chain, [[741455
/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -2
], [1, 1]]]], [[11, 2, 6, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, And(
0 < y,y < 1), z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [0, 0], [1/2, 1/2], [0, 0]]]], [[11, 4, 4, 7, 1], [2^(1/2) < v, u =
-(v^2+1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1, -1], [2, 2], [0, 0]]]], [[11, 10, 1, 5, 1], [2^(
1/2) < v, u = -(v^2-2)^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [5/
2, 5/2], [-3, -3]]]], [[11, 10, 1, 5, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x
< -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [5/2, 5/2], [-1284239/1048576, -\
642119/524288]]]], [[11, 10, 1, 5, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -\
3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [5/2,
5/2], [0, 0]]]], [[11, 10, 1, 5, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3,
And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/
1048576]]]], [[11, 10, 1, 5, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, And
(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-4, -4], [5/2, 5/2], [3, 3]]]], [[11, 11, 9, 8, 1
], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2
+v^2-1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2]
, [7/2, 7/2], [0, 0]]]], [[11, 15, 9, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-4, -\
4], [-3, -3]]]], [[11, 15, 9, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v
), And(0 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-4, -4], [-7846825/
4194304, -980853/524288]]]], [[11, 15, 9, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/
2, 1/2], [-4, -4], [0, 0]]]], [[11, 15, 9, 1, 4], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-4, -\
4], [980853/524288, 1961707/1048576]]]], [[11, 15, 9, 1, 5], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z
], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-\
4, -4], [3, 3]]]], [[11, 17, 9, 9, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/
2)), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [1/2, 1/2], [1, 1], [0, 0]]]], [[1, 1, 2, 1, 1], [v < -2^(1/2)
, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-17, -17], [-1, -1], [-6, -6]]]], [[1, 1,
2, 1, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z = -(u^2-
v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [-1, -1], [-\
1112183/262144, -4448731/1048576]]]], [[1, 1, 2, 1, 3], [v < -2^(1/2), u < -(v
^2+2)^(1/2), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-
y+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [-1, -1], [0, 0
]]]], [[1, 1, 2, 1, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y <
0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-17, -17],
[-1, -1], [4448731/1048576, 1112183/262144]]]], [[1, 1, 2, 1, 5], [v < -2^(1/2
), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [-17, -17], [-1, -1], [6, 6]]]], [[1, 2, 7
, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [2
, 2], [0, 0]]]], [[1, 8, 5, 2, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 <
x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[1, 8,
5, 2, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z =
-2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [
-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[1, 8, 5, 2
, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(
1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[1, 8, 5, 2, 4], [v
< -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2],
[-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[1, 8, 5, 2, 5], [v < -2^(
1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2],
[-3/2, -3/2], [3, 3]]]], [[1, 10, 3, 2, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2),
And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[1, 10,
3, 2, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z =
-3^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-\
2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[1, 10, 3, 2, 3],
[v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2)
< z,z < 3^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[1, 10, 3, 2, 4],
[v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-1
, -1], [908093/524288, 1816187/1048576]]]], [[1, 10, 3, 2, 5], [v < -2^(1/2),
u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain
, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-1, -1], [3, 3]]
]], [[1, 13, 11, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)
), 1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [2, 2], [-2, -2], [-1, -1]]]], [[1, 13, 11, 4, 2], [v < -2^(1/2), And
((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-2, -2], [0, 0]]]], [[1,
13, 11, 4, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x,
y = -x, 0 < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
2, 2], [-2, -2], [1, 1]]]], [[1, 15, 10, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z < -(-y-1)^(1/2)],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2
], [-2, -2]]]], [[1, 15, 10, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -
v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2]
, [-1, -1]]]], [[1, 15, 10, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1]
, [-2, -2], [0, 0]]]], [[1, 15, 10, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) <
u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2]
, [1, 1]]]], [[1, 15, 10, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), (-y-1)^(1/2) < z], [regular_chain, [
[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2], [2, 2]]]], [[1
, 21, 6, 4, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, y = 0, z < 0], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [0, 0], [-1, -1]]]], [[1, 21, 6, 4,
2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, y = 0, z = 0], [regular_chain, [[
-3, -3], [5, 5], [0, 0], [0, 0], [0, 0]]]], [[1, 21, 6, 4, 3], [v < -2^(1/2),
(v^2+2)^(1/2) < u, x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3], [5, 5], [0
, 0], [0, 0], [1, 1]]]], [[2, 2, 1, 3, 1], [v = -2^(1/2), u = -2, x < -3, And(
0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[2, 2, 1, 3, 2],
[v = -2^(1/2), u = -2, x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [1/2,
1/2], [-7846825/4194304, -980853/524288]]]], [[2, 2, 1, 3, 3], [v = -2^(1/2),
u = -2, x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [1/2,
1/2], [0, 0]]]], [[2, 2, 1, 3, 4], [v = -2^(1/2), u = -2, x < -3, And(0 < y,y
< -x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-2, -2], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[2, 2
, 1, 3, 5], [v = -2^(1/2), u = -2, x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [
1/2, 1/2], [3, 3]]]], [[2, 9, 11, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), 1 <
x, And(-u^2-x+1 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [2, 2], [-5/8, -5/8], [0, 0]]]], [[2, 11, 8, 6,
1], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, y = 0, z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [0, 0], [0, 0]]
]], [[2, 17, 6, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, u^2-3 < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [0, 0], [2, 2], [0, 0]]]], [[2, 19, 3, 8, 1], [v =
-2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = u^2-x-3, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [21/2, 21/2], [0, 0
]]]], [[3, 3, 10, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
1, 1], [-5, -5], [-3, -3]]]], [[3, 3, 10, 1, 2], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [-5, -5], [-2, -2]]]], [[3, 3, 10, 1, 3],
[And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1,
y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1
, 1], [-5, -5], [0, 0]]]], [[3, 3, 10, 1, 4], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [1, 1], [-5, -5], [2, 2]]]], [[3, 3, 10, 1, 5], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v
^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [1, 1], [-5, -5], [3, 3]]]], [[3, 5,
8, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, 0 <
y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [0, 0], [1, 1], [0, 0]]]], [[3, 11, 7, 1, 1], [And
(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0
), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-3, -3], [-3, -3]]]], [[3, 11, 7, 1, 2], [And(-2^(1/2) < v,v < -1),
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-3, -3], [-\
1880069/1048576, -7520275/4194304]]]], [[3, 11, 7, 1, 3], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [-3, -3], [-3/8388608, -3/8388608]]]], [[3, 11, 7, 1, 4],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371
/2097152], [-3, -3], [470017/262144, 1880069/1048576]]]], [[3, 11, 7, 1, 5], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371
/2097152], [-3, -3], [3, 3]]]], [[3, 13, 7, 5, 1], [And(-2^(1/2) < v,v < -1),
And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-\
139585/1048576, -139585/1048576], [-2, -2]]]], [[3, 13, 7, 5, 2], [And(-2^(1/2
) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^
2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -\
139585/524288], [-139585/1048576, -139585/1048576], [-165661/262144, -1325287/
2097152]]]], [[3, 13, 7, 5, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [-139585/1048576, -139585/1048576], [-1/4194304, -1/4194304]]]], [[3, 13, 7,
5, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [-139585/1048576, -139585/1048576], [662643/
1048576, 165661/262144]]]], [[3, 13, 7, 5, 5], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-139585/
1048576, -139585/1048576], [2, 2]]]], [[3, 13, 10, 2, 1], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [-646847/262144, -2587387/1048576], [-3, -3
]]]], [[3, 13, 10, 2, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1]
, [-646847/262144, -2587387/1048576], [-1270261/1048576, -317565/262144]]]], [
[3, 13, 10, 2, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-646847/262144, -2587387/1048576], [0, 0]]]], [[3,
13, 10, 2, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1
, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-646847/262144
, -2587387/1048576], [317565/262144, 1270261/1048576]]]], [[3, 13, 10, 2, 5],
[And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-\
2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-646847/262144, -\
2587387/1048576], [3, 3]]]], [[3, 15, 9, 1, 1], [And(-2^(1/2) < v,v < -1), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-
x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-5, -5],
[-4, -4]]]], [[3, 15, 9, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [775271/1048576, 775271/1048576], [-5, -5], [-2164401/1048576,
-135275/65536]]]], [[3, 15, 9, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/
1048576], [-5, -5], [0, 0]]]], [[3, 15, 9, 1, 4], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
5, -5], [135275/65536, 2164401/1048576]]]], [[3, 15, 9, 1, 5], [And(-2^(1/2) <
v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/
1048576], [-5, -5], [4, 4]]]], [[4, 3, 8, 4, 1], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x = u^2-2, y = -u^2+2, z < 0], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-497807/1048576
, -248903/524288], [-1, -1]]]], [[4, 3, 8, 4, 2], [v = -1, And(-3^(1/2) < u,u
< -2^(1/2)), x = u^2-2, y = -u^2+2, z = 0], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-497807/
1048576, -248903/524288], [0, 0]]]], [[4, 3, 8, 4, 3], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-497807/
1048576, -248903/524288], [1, 1]]]], [[4, 5, 7, 3, 1], [v = -1, And(-2^(1/2) <
u,u < -1), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-1527887/2097152, -1527887/2097152], [-2, -2]]]],
[[4, 5, 7, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And
(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1527887/2097152, -1527887/2097152], [-1, -1]]]], [[4, 5, 7, 3, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743
/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-1527887/
2097152, -1527887/2097152], [0, 0]]]], [[4, 5, 7, 3, 4], [v = -1, And(-2^(1/2)
< u,u < -1), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/
2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265
/2097152, -569265/2097152], [-1527887/2097152, -1527887/2097152], [1, 1]]]], [
[4, 5, 7, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(
-u^2-x < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1527887/2097152, -1527887/2097152], [2, 2]]]], [[4, 9, 10, 3, 1], [v = -1, And
(0 < u,u < 1), x = 1, And(u^2-3 < y,y < -u^2-1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-2, -2], [-2, -2]]]], [[4, 9, 
10, 3, 2], [v = -1, And(0 < u,u < 1), x = 1, And(u^2-3 < y,y < -u^2-1), z = -(
-y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-2, -2], [-1, -1
]]]], [[4, 9, 10, 3, 3], [v = -1, And(0 < u,u < 1), x = 1, And(u^2-3 < y,y < -
u^2-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [
1/2, 1/2], [1, 1], [-2, -2], [0, 0]]]], [[4, 9, 10, 3, 4], [v = -1, And(0 < u,
u < 1), x = 1, And(u^2-3 < y,y < -u^2-1), z = (-y-1)^(1/2)], [regular_chain, [
[-1, -1], [1/2, 1/2], [1, 1], [-2, -2], [1, 1]]]], [[4, 9, 10, 3, 5], [v = -1,
And(0 < u,u < 1), x = 1, And(u^2-3 < y,y < -u^2-1), (-y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-2, -2], [2, 2]]]], [[4, 11, 10
, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1, 1], [-1/2, -\
1/2], [0, 0]]]], [[5, 2, 1, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x <
-3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-\
4, -4], [-1, -1], [-4, -4]]]], [[5, 2, 1, 1, 2], [And(-1 < v,v < 0), u = -(v^2
+2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-3/2, -3/2], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[5, 2,
1, 1, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4,
-4], [-1, -1], [0, 0]]]], [[5, 2, 1, 1, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(
1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2,
-3/2], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[5, 2, 1, 1, 5
], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [-1, -1], [4, 4]]]], [[5
, 3, 9, 2, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [-418813/131072, -3350503/1048576], [-3, -3]]]], [[
5, 3, 9, 2, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [-418813/131072, -3350503/1048576], [-3291611/
2097152, -1645805/1048576]]]], [[5, 3, 9, 2, 3], [And(-1 < v,v < 0), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-\
418813/131072, -3350503/1048576], [0, 0]]]], [[5, 3, 9, 2, 4], [And(-1 < v,v <
0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-418813/131072,
-3350503/1048576], [1645805/1048576, 822903/524288]]]], [[5, 3, 9, 2, 5], [And
(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,
x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-\
418813/131072, -3350503/1048576], [3, 3]]]], [[5, 12, 1, 2, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1
/2, -1/2], [3/2, 3/2], [-4, -4], [0, 0], [-3, -3]]]], [[5, 12, 1, 2, 2], [And(
-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [0, 0], [-2, -2]]]], [[5,
12, 1, 2, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4
], [0, 0], [0, 0]]]], [[5, 12, 1, 2, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2)
, x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [
-4, -4], [0, 0], [2, 2]]]], [[5, 12, 1, 2, 5], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [-4, -4], [0, 0], [3, 3]]]], [[5, 13, 9, 1, 1], [And(-1 < v,v < 0), (v^2+
2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-16, -16], [-5, -5]]]],
[[5, 13, 9, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^
2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3,
3], [35/8, 35/8], [-16, -16], [-27931/8192, -3575167/1048576]]]], [[5, 13, 9,
1, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u
^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [3, 3], [35/8, 35/8], [-16, -16], [0, 0]]]], [[5, 13, 9, 1, 4], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-16, -16]
, [3575167/1048576, 27931/8192]]]], [[5, 13, 9, 1, 5], [And(-1 < v,v < 0), (v^
2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-16, -16], [5, 5]]]], [[
6, 5, 10, 6, 1], [v = 0, And(-1 < u,u < 0), x = 1, y = -1, z < 0], [
regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-1, -1], [-1, -1]]]], [[6, 5, 
10, 6, 2], [v = 0, And(-1 < u,u < 0), x = 1, y = -1, z = 0], [regular_chain, [
[0, 0], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]]]], [[6, 5, 10, 6, 3], [v = 0,
And(-1 < u,u < 0), x = 1, y = -1, 0 < z], [regular_chain, [[0, 0], [-1/2, -1/2
], [1, 1], [-1, -1], [1, 1]]]], [[6, 7, 11, 1, 1], [v = 0, And(0 < u,u < 1), 1
< x, y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2
, 2], [-5, -5], [-3, -3]]]], [[6, 7, 11, 1, 2], [v = 0, And(0 < u,u < 1), 1 <
x, y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2,
2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[6, 7, 11, 1, 3], [v =
0, And(0 < u,u < 1), 1 < x, y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[6, 7, 11, 1, 4], [v = 0, And(0 < u,u < 1), 1 < x, y < -u^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [2, 2], [-5, -5], [
908093/524288, 1816187/1048576]]]], [[6, 7, 11, 1, 5], [v = 0, And(0 < u,u < 1
), 1 < x, y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2]
, [2, 2], [-5, -5], [3, 3]]]], [[6, 11, 10, 3, 1], [v = 0, 2^(1/2) < u, x = u^
2-1, And(-2*u^2 < y,y < -u^2+1), z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0,
0], [3, 3], [8, 8], [-13, -13], [-4, -4]]]], [[6, 11, 10, 3, 2], [v = 0, 2^(1/
2) < u, x = u^2-1, And(-2*u^2 < y,y < -u^2+1), z = -(-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [8, 8], [-13, -13], [-146543/65536, -2344687/
1048576]]]], [[6, 11, 10, 3, 3], [v = 0, 2^(1/2) < u, x = u^2-1, And(-2*u^2 <
y,y < -u^2+1), And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [8, 8], [-13, -13], [0, 0]]]], [[6, 11, 10, 3,
4], [v = 0, 2^(1/2) < u, x = u^2-1, And(-2*u^2 < y,y < -u^2+1), z = (-u^2-y+1)
^(1/2)], [regular_chain, [[0, 0], [3, 3], [8, 8], [-13, -13], [2344687/1048576
, 146543/65536]]]], [[6, 11, 10, 3, 5], [v = 0, 2^(1/2) < u, x = u^2-1, And(-2
*u^2 < y,y < -u^2+1), (-u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3],
[8, 8], [-13, -13], [4, 4]]]], [[7, 2, 5, 2, 1], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain, [[1/2, 1
/2], [-3/2, -3/2], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[7, 2, 5, 2, 2],
[And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/
2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/2, -5/2], [-\
1816187/1048576, -3632373/2097152]]]], [[7, 2, 5, 2, 3], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))],
[regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/2, -5/2], [-1/
4194304, -1/4194304]]]], [[7, 2, 5, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-\
3/2, -3/2], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [
[7, 2, 5, 2, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y =
-x-3, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [
-5/2, -5/2], [3, 3]]]], [[7, 8, 1, 3, 1], [And(0 < v,v < 1), u = v, x < -1, 
And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/
2], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[7, 8, 1, 3, 2], [And(0 < v,v < 1), u
= v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [1/2, 1/2], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]],
[[7, 8, 1, 3, 3], [And(0 < v,v < 1), u = v, x < -1, And(0 < y,y < -1-x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[-2, -2], [1/2, 1/2], [0, 0]]]], [[7, 8, 1, 3, 4], [And(0 < v,v < 1), u = v, x
< -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/
2, 1/2], [-2, -2], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[7, 8, 1,
3, 5], [And(0 < v,v < 1), u = v, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-2, -2], [1/2, 1/2], [3, 3]]]], [
[7, 10, 1, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, -x < y, z = z]
, [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [4,
4], [0, 0]]]], [[7, 10, 5, 1, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1
< x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[7, 10,
5, 1, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z
= -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072
], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[7, 10, 5,
1, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[7, 10, 5, 1, 4],
[And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^
(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2,
-1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[7, 10, 5, 1, 5], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2]
, [-3, -3], [3, 3]]]], [[7, 12, 3, 5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2)
, And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [3/2, 3/2], [-2, -2], [1, 1], [-2, -2]]]], [[7, 12, 3, 5, 2], [And
(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [1, 1], [-1,
-1]]]], [[7, 12, 3, 5, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [1, 1], [0, 0]]]], [[7, 12,
3, 5, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2],
[1, 1], [1, 1]]]], [[7, 12, 3, 5, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 
And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/
2, 1/2], [3/2, 3/2], [-2, -2], [1, 1], [2, 2]]]], [[8, 4, 3, 3, 1], [v = 1, u
= -2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/
4, -1/4], [-3, -3]]]], [[8, 4, 3, 3, 2], [v = 1, u = -2^(1/2), And(-2 < x,x <
-1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -\
1387135/1048576]]]], [[8, 4, 3, 3, 3], [v = 1, u = -2^(1/2), And(-2 < x,x < -1
), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/
4, -1/4], [0, 0]]]], [[8, 4, 3, 3, 4], [v = 1, u = -2^(1/2), And(-2 < x,x < -1
), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/
8192]]]], [[8, 4, 3, 3, 5], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), And(-x-2
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[8, 6, 2, 2, 1], [v =
1, u = -1, x = -1, y = 0, z < -1], [regular_chain, [[1, 1], [-1, -1], [-1, -1]
, [0, 0], [-2, -2]]]], [[8, 6, 2, 2, 2], [v = 1, u = -1, x = -1, y = 0, z = -1
], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [0, 0], [-1, -1]]]], [[8, 6, 2
, 2, 3], [v = 1, u = -1, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
1, 1], [-1, -1], [-1, -1], [0, 0], [0, 0]]]], [[8, 6, 2, 2, 4], [v = 1, u = -1
, x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [0, 0],
[1, 1]]]], [[8, 6, 2, 2, 5], [v = 1, u = -1, x = -1, y = 0, 1 < z], [
regular_chain, [[1, 1], [-1, -1], [-1, -1], [0, 0], [2, 2]]]], [[8, 10, 5, 4,
1], [v = 1, u = 1, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1, 1],
[1, 1], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[8, 10, 5, 4, 2], [v = 1, u =
1, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1, 1], [1, 1], [1/2, 1/
2], [-1/2, -1/2], [0, 0]]]], [[8, 10, 5, 4, 3], [v = 1, u = 1, And(0 < x,x < 1
), y = -x, 0 < z], [regular_chain, [[1, 1], [1, 1], [1/2, 1/2], [-1/2, -1/2],
[1, 1]]]], [[8, 12, 6, 3, 1], [v = 1, u = 2^(1/2), x = 0, And(-2 < y,y < 0), z
< -(-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0,
0], [-1, -1], [-2, -2]]]], [[8, 12, 6, 3, 2], [v = 1, u = 2^(1/2), x = 0, And(
-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[8, 12, 6, 3, 3], [v = 1, u
= 2^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0], [-1, -1], [0
, 0]]]], [[8, 12, 6, 3, 4], [v = 1, u = 2^(1/2), x = 0, And(-2 < y,y < 0), z =
(-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [0, 0]
, [-1, -1], [1, 1]]]], [[8, 12, 6, 3, 5], [v = 1, u = 2^(1/2), x = 0, And(-2 <
y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[9, 2, 6, 3, 1], [And(1 < v,v < 2^(1/2
)), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[9, 2, 6, 3, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]],
[[9, 2, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, And(-3 <
y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-3/2
, -3/2], [0, 0]]]], [[9, 2, 6, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1
/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-3/2
, -3/2], [642119/524288, 1284239/1048576]]]], [[9, 2, 6, 3, 5], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-3/2, -3/2], [3, 3]]]], [[9, 4, 4, 5, 1], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9, 4, 4, 5, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[9, 4, 4, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, And(0
< y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [1/2,
1/2], [0, 0]]]], [[9, 4, 4, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2)
, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[9, 4, 4, 5, 5], [And(1 < v,v < 2^(1/
2)), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1, -1], [1/2, 1/2], [2, 2]]]], [[9, 12, 5, 7, 1], [And(1 < v,v < 2
^(1/2)), u = v, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1,
1], [0, 0]]]], [[9, 14, 7, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2),
And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-4,
-4], [-3, -3]]]], [[9, 14, 7, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2
), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-4,
-4], [-7846825/4194304, -980853/524288]]]], [[9, 14, 7, 1, 3], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [-4, -4], [0, 0]]]], [[9, 14, 7,
1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2,
z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [-4, -4], [980853/524288, 1961707
/1048576]]]], [[9, 14, 7, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-4,
-4], [3, 3]]]], [[10, 2, 6, 6, 1], [v = 2^(1/2), u = -2, x = 0, y = 1, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [1, 1], [
0, 0]]]], [[10, 4, 5, 1, 1], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y
< -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[
10, 4, 5, 1, 2], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y < -x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853
/524288]]]], [[10, 4, 5, 1, 3], [v = 2^(1/2), u = -3^(1/2), And(-1 < x,x < 0),
y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[-3, -3], [0, 0]]]], [[10, 4, 5, 1, 4], [v = 2^(1/2), u = -3^(1/2), And(-1 < x
,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3, -3], [
980853/524288, 1961707/1048576]]]], [[10, 4, 5, 1, 5], [v = 2^(1/2), u = -3^(1
/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[-3, -3], [3, 3]]]], [[10, 8, 8, 1, 1], [v = 2^(1/2), u = -1, x = 1, y < -3, z
< -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[1, 1], [-4, -4], [-3, -3]]]], [[10, 8, 8, 1, 2], [v = 2^(1/2), u = -1, x = 1,
y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[10, 8,
8, 1, 3], [v = 2^(1/2), u = -1, x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1]
, [-4, -4], [-1/4194304, -1/4194304]]]], [[10, 8, 8, 1, 4], [v = 2^(1/2), u =
-1, x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[
10, 8, 8, 1, 5], [v = 2^(1/2), u = -1, x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-4, -4],
[3, 3]]]], [[10, 10, 5, 6, 1], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2
], [1/2, 1/2], [-1, -1]]]], [[10, 10, 5, 6, 2], [v = 2^(1/2), u = 0, And(-1 <
x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
0, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[10, 10, 5, 6, 3], [v = 2^(1/2),
u = 0, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10, 16, 1, 5,
1], [v = 2^(1/2), u = 3^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [2, 2], [-2, -2]]]], [[10, 16, 1, 5, 2], [v = 2^(1/2), u =
3^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [
2, 2], [-1, -1]]]], [[10, 16, 1, 5, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, And
(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3],
[2, 2], [0, 0]]]], [[10, 16, 1, 5, 4], [v = 2^(1/2), u = 3^(1/2), x < -2, And(
-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-3, -3], [2, 2], [1, 1]]]], [[10,
16, 1, 5, 5], [v = 2^(1/2), u = 3^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [-3, -3], [2, 2], [2, 2]]]], [[10, 17, 11, 8, 1], [v = 2^(1/
2), And(3^(1/2) < u,u < 2), 1 < x, y = 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [0, 0],
[0, 0]]]], [[10, 18, 3, 1, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y < -x
-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2,
2], [-2, -2], [-2, -2], [-3, -3]]]], [[10, 18, 3, 1, 2], [v = 2^(1/2), u = 2,
And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-2, -2], [-2, -2], [-2, -2]]]], [[10, 18, 3
, 1, 3], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2,
2], [-2, -2], [-2, -2], [0, 0]]]], [[10, 18, 3, 1, 4], [v = 2^(1/2), u = 2, 
And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-2, -2], [-2, -2], [2, 2]]]], [[10, 18, 3,
1, 5], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [-2, -2],
[3, 3]]]], [[10, 19, 11, 4, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, y = -x, z < 0]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-7, -7],
[-1, -1]]]], [[10, 19, 11, 4, 2], [v = 2^(1/2), 2 < u, u^2-3 < x, y = -x, z =
0], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-7, -7
], [0, 0]]]], [[10, 19, 11, 4, 3], [v = 2^(1/2), 2 < u, u^2-3 < x, y = -x, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-7, -7
], [1, 1]]]], [[11, 6, 1, 3, 1], [2^(1/2) < v, u = -v, x < -1, And(0 < y,y < -\
1-x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1/2, 1
/2], [-3, -3]]]], [[11, 6, 1, 3, 2], [2^(1/2) < v, u = -v, x < -1, And(0 < y,y
< -1-x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1/2
, 1/2], [-1284239/1048576, -642119/524288]]]], [[11, 6, 1, 3, 3], [2^(1/2) < v
, u = -v, x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1/2, 1/2], [0, 0]]]], [[11, 6
, 1, 3, 4], [2^(1/2) < v, u = -v, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2
)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [1/2, 1/2], [642119/524288, 
1284239/1048576]]]], [[11, 6, 1, 3, 5], [2^(1/2) < v, u = -v, x < -1, And(0 <
y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [
1/2, 1/2], [3, 3]]]], [[11, 8, 2, 4, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x =
-2, y = 2, z < 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-2, -2], [2, 2], [-1, -1]]]], [[11, 8, 2, 4, 2], [2^(1/2) < v, u =
-(v^2-1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-2, -2], [2, 2], [0, 0]]]], [[11, 8, 2, 4, 3], [
2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[3, 3
], [-2965821/1048576, -11863283/4194304], [-2, -2], [2, 2], [1, 1]]]], [[11, 
12, 1, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = 0, z < -(-x)^(1/2)]
, [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [0, 0], [-\
3, -3]]]], [[11, 12, 1, 2, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = 0,
z = -(-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4,
-4], [0, 0], [-2, -2]]]], [[11, 12, 1, 2, 3], [2^(1/2) < v, u = (v^2-2)^(1/2),
x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3],
[2774271/1048576, 10837/4096], [-4, -4], [0, 0], [0, 0]]]], [[11, 12, 1, 2, 4]
, [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [0, 0], [2, 2
]]]], [[11, 12, 1, 2, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = 0, (-x)
^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4],
[0, 0], [3, 3]]]], [[11, 13, 9, 7, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < 0), z = z]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/2097152,
1581613/2097152], [-128885/1048576, -128885/1048576], [0, 0]]]], [[11, 19, 7,
2, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u
^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-5748437/
2097152, -1437109/524288], [-3, -3]]]], [[11, 19, 7, 2, 2], [2^(1/2) < v, And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [129511/524288, 129511/524288], [-5748437/2097152, -1437109/
524288], [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 7, 2, 3], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -
u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-5748437/2097152, -1437109/524288], [-1/4194304, -1/4194304]]
]], [[11, 19, 7, 2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-5748437/2097152, -1437109/524288], [51749/32768, 1655969/
1048576]]]], [[11, 19, 7, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-5748437/2097152, -1437109/524288], [3, 3]]]], [[11, 21, 4, 5
, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z < -(1-y)^(1
/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11
, 21, 4, 5, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z =
-(1-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [1/2, 1/2], [-\
1482911/2097152, -741455/1048576]]]], [[11, 21, 4, 5, 3], [2^(1/2) < v, (v^2+2
)^(1/2) < u, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[3, 3], [5, 5], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11, 21, 4,
5, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z = (1-y)^(1
/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [1/2, 1/2], [741455/1048576,
46341/65536]]]], [[11, 21, 4, 5, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1,
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[1, 1, 2, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x
= -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-3, -3], [-5, -5], [-17
, -17], [17, 17], [-1, -1]]]], [[1, 1, 2, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(
1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-3, -3], [-5, -\
5], [-17, -17], [17, 17], [0, 0]]]], [[1, 1, 2, 4, 3], [v < -2^(1/2), u < -(v^
2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-3, -3],
[-5, -5], [-17, -17], [17, 17], [1, 1]]]], [[1, 2, 8, 7, 1], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [1, 1], [1, 1], [0, 0]]]], [[1, 8, 5, 3, 1], [v < -
2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [
-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[1, 8, 5, 3, 2], [v < -2^(1/2), u = -
(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2],
[-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[1, 8, 5, 3, 3], [v < -2
^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[1, 8, 5, 3, 4], [
v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304
], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[1, 8, 5,
3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[1, 10, 3, 7, 1], [v < -2^(
1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [5/2
, 5/2], [0, 0]]]], [[1, 13, 11, 7, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < 0), z = z], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-1564115/2097152, -\
1564115/2097152], [0, 0]]]], [[1, 15, 11, 1, 1], [v < -2^(1/2), And((v^2-1)^(1
/2) < u,u < -v), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-5, -5], [-3, -3]]]], [
[1, 15, 11, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < u^
2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [
[1, 15, 11, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < u^
2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[1, 15, 11, 1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]
]]], [[1, 15, 11, 1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x,
y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [2, 2], [-5, -5], [3, 3]]]], [[1, 21, 6, 5, 1], [v
< -2^(1/2), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2-1), z = z], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [15/2, 15/2], [0, 0]]]], [[2, 2, 1,
8, 1], [v = -2^(1/2), u = -2, x < -3, y = 1-x, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [5, 5], [0, 0]]]], [[2,
9, 11, 2, 1], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, y = u^2-x-3, z < -(-u^2
+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2],
[2, 2], [-19/4, -19/4], [-3, -3]]]], [[2, 9, 11, 2, 2], [v = -2^(1/2), And(-1
< u,u < 0), 1 < x, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-19/4, -19/4], [-\
1738867/1048576, -3477733/2097152]]]], [[2, 9, 11, 2, 3], [v = -2^(1/2), And(-\
1 < u,u < 0), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [
-19/4, -19/4], [-1/4194304, -1/4194304]]]], [[2, 9, 11, 2, 4], [v = -2^(1/2),
And(-1 < u,u < 0), 1 < x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-19/4, -19/4], [
869433/524288, 1738867/1048576]]]], [[2, 9, 11, 2, 5], [v = -2^(1/2), And(-1 <
u,u < 0), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-19/4, -19/4], [3, 3]]]], [[2
, 11, 8, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(u^2-1 < y,y <
0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
3/4, 3/4], [-3/8, -3/8], [0, 0]]]], [[2, 17, 5, 9, 1], [v = -2^(1/2), And(3^(1
/2) < u,u < 2), And(-1 < x,x < 0), u^2-x-3 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -\
1/2], [2, 2], [0, 0]]]], [[2, 19, 3, 5, 1], [v = -2^(1/2), 2 < u, And(-u^2+1 <
x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-9/2, -9/2], [9/4, 9/4], [-3, -3]]]], [[2,
19, 3, 5, 2], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [-9/2, -9/2], [9/4, 9/4], [-3/2, -3/2]]]], [[2, 19, 3, 5, 3], [v = -2^(1/2)
, 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
-9/2, -9/2], [9/4, 9/4], [0, 0]]]], [[2, 19, 3, 5, 4], [v = -2^(1/2), 2 < u, 
And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [9/4, 9/4], [3/2, 3
/2]]]], [[2, 19, 3, 5, 5], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9/2, -9/2], [9/4, 9/4], [3, 3]]]], [[3, 3, 9, 5, 1], [And(-
2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/
1048576, 775271/1048576], [-1048577/2097152, -1048577/2097152], [0, 0]]]], [[3
, 5, 8, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0
, y = 0, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [0, 0], [0, 0], [-1, -1]]]], [[3, 5, 8, 6,
2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = 0, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [0, 0], [0, 0], [0, 0]]]], [[3, 5, 8, 6, 3], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = 0, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [0, 0], [1, 1]]]], [[3, 11, 6, 1, 1], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z
< -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-3, -3
], [-3, -3]]]], [[3, 11, 6, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2
) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-3, -3], [-7767403/4194304, -\
3883701/2097152]]]], [[3, 11, 6, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^2-y+1)^(1/2)
< z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[-3, -3], [-1/4194304, -1/4194304]]]], [[3, 11, 6, 1, 4], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = (u^
2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-3, -3],
[970925/524288, 1941851/1048576]]]], [[3, 11, 6, 1, 5], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-
y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-3, -3],
[3, 3]]]], [[3, 13, 7, 2, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1
)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [-629821/524288, -1259641/
1048576], [-3, -3]]]], [[3, 13, 7, 2, 2], [And(-2^(1/2) < v,v < -1), And(-v <
u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-629821/524288,
-1259641/1048576], [-1270261/1048576, -317565/262144]]]], [[3, 13, 7, 2, 3], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [-629821/524288, -1259641/
1048576], [0, 0]]]], [[3, 13, 7, 2, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-629821/524288,
-1259641/1048576], [317565/262144, 1270261/1048576]]]], [[3, 13, 7, 2, 5], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/
524288, -139585/524288], [-629821/524288, -1259641/1048576], [3, 3]]]], [[3, 
13, 10, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1
, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1]
, [-8388607/4194304, -8388607/4194304], [-2, -2]]]], [[3, 13, 10, 3, 2], [And(
-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y
,y < u^2-v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-8388607/
4194304, -8388607/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]
], [[3, 13, 10, 3, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)
), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [-8388607/4194304, -8388607/4194304], [-\
3670015/8796093022208, -3670015/8796093022208]]]], [[3, 13, 10, 3, 4], [And(-2
^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-8388607/4194304, -\
8388607/4194304], [1048575/1048576, 1]]]], [[3, 13, 10, 3, 5], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^
2-2), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [1, 1], [-8388607/4194304, -8388607/
4194304], [2, 2]]]], [[3, 15, 9, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [775271/1048576, 775271/1048576], [-136653/524288, -273305/
1048576], [0, 0]]]], [[4, 3, 8, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2))
, x = u^2-2, 0 < y, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [248903/524288, 497807/1048576], [1, 1], [0, 0]]]], [[4, 5,
8, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2, z < -(-y)^(1/2)]
, [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-3
, -3], [-3, -3]]]], [[4, 5, 8, 1, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 0
, y < -u^2, z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [
[4, 5, 8, 1, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2, And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[4, 5, 8, 1,
4], [v = -1, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2, z = (-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [0, 0], [-3, -\
3], [908093/524288, 1816187/1048576]]]], [[4, 5, 8, 1, 5], [v = -1, And(-2^(1/
2) < u,u < -1), x = 0, y < -u^2, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [0, 0], [-3, -3], [3, 3]]]], [[4, 9, 10,
4, 1], [v = -1, And(0 < u,u < 1), x = 1, y = -u^2-1, z < -u], [regular_chain,
[[-1, -1], [1/2, 1/2], [1, 1], [-5/4, -5/4], [-2, -2]]]], [[4, 9, 10, 4, 2], [
v = -1, And(0 < u,u < 1), x = 1, y = -u^2-1, z = -u], [regular_chain, [[-1, -1
], [1/2, 1/2], [1, 1], [-5/4, -5/4], [-1/2, -1/2]]]], [[4, 9, 10, 4, 3], [v =
-1, And(0 < u,u < 1), x = 1, y = -u^2-1, And(-u < z,z < u)], [regular_chain, [
[-1, -1], [1/2, 1/2], [1, 1], [-5/4, -5/4], [0, 0]]]], [[4, 9, 10, 4, 4], [v =
-1, And(0 < u,u < 1), x = 1, y = -u^2-1, z = u], [regular_chain, [[-1, -1], [1
/2, 1/2], [1, 1], [-5/4, -5/4], [1/2, 1/2]]]], [[4, 9, 10, 4, 5], [v = -1, And
(0 < u,u < 1), x = 1, y = -u^2-1, u < z], [regular_chain, [[-1, -1], [1/2, 1/2
], [1, 1], [-5/4, -5/4], [2, 2]]]], [[4, 11, 11, 3, 1], [v = -1, And(1 < u,u <
2^(1/2)), 1 < x, And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
12582911/4194304, -12582911/4194304], [-2, -2]]]], [[4, 11, 11, 3, 2], [v = -1
, And(1 < u,u < 2^(1/2)), 1 < x, And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
12582911/4194304, -12582911/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[4, 11, 11, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x,
And(-u^2-x < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
12582911/4194304, -12582911/4194304], [-3670015/8796093022208, -3670015/
8796093022208]]]], [[4, 11, 11, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x,
And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [1048575/1048576, 1]]]], [[4, 11, 11, 3, 5], [v = -1, And(1 < u,u <
2^(1/2)), 1 < x, And(-u^2-x < y,y < u^2-x-2), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
12582911/4194304, -12582911/4194304], [2, 2]]]], [[5, 2, 1, 4, 1], [And(-1 < v
,v < 0), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-3, -3]]]], [[5, 2, 1, 4, 2],
[And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-1816187/
1048576, -3632373/2097152]]]], [[5, 2, 1, 4, 3], [And(-1 < v,v < 0), u = -(v^2
+2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [
[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[5
, 2, 1, 4, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = 3
^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1, 1], [
908093/524288, 1816187/1048576]]]], [[5, 2, 1, 4, 5], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [-4, -4], [1, 1], [3, 3]]]], [[5, 3, 9, 9, 1], [And(-1 < v,v < 0
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y
, z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
1534619/2097152, 1534619/2097152], [1, 1], [0, 0]]]], [[5, 11, 11, 4, 1], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z < 0
], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2], [-2,
-2], [-1, -1]]]], [[5, 11, 11, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [2, 2], [-2, -2], [0, 0]]]], [[5, 11, 11, 4, 3]
, [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x,
0 < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [2, 2],
[-2, -2], [1, 1]]]], [[5, 13, 8, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
x = 1, And(0 < y,y < u^2-v^2-2), z = z], [regular_chain, [[-1/2, -1/2], [3, 3]
, [1, 1], [27/8, 27/8], [0, 0]]]], [[6, 5, 10, 1, 1], [v = 0, And(-1 < u,u < 0
), x = 1, y < -u^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2
], [1, 1], [-4, -4], [-3, -3]]]], [[6, 5, 10, 1, 2], [v = 0, And(-1 < u,u < 0)
, x = 1, y < -u^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2]
, [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[6, 5, 10, 1, 3]
, [v = 0, And(-1 < u,u < 0), x = 1, y < -u^2-2, And(-(-y-1)^(1/2) < z,z < (-y-\
1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-4, -4], [-1/
4194304, -1/4194304]]]], [[6, 5, 10, 1, 4], [v = 0, And(-1 < u,u < 0), x = 1,
y < -u^2-2, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1],
[-4, -4], [908093/524288, 1816187/1048576]]]], [[6, 5, 10, 1, 5], [v = 0, And(
-1 < u,u < 0), x = 1, y < -u^2-2, (-y-1)^(1/2) < z], [regular_chain, [[0, 0],
[-1/2, -1/2], [1, 1], [-4, -4], [3, 3]]]], [[6, 7, 10, 9, 1], [v = 0, And(0 <
u,u < 1), x = 1, 0 < y, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [
1, 1], [0, 0]]]], [[6, 11, 9, 5, 1], [v = 0, 2^(1/2) < u, And(1 < x,x < u^2-1)
, And(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [3, 3], [9/2, 9/2], [-9/
4, -9/4], [0, 0]]]], [[7, 2, 4, 8, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
x = -1, y = 2, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [2
, 2], [0, 0]]]], [[7, 7, 11, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 <
x, And(-x < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-1
, -1], [0, 0]]]], [[7, 10, 1, 6, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x <
-2, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-3, -3], [3, 3], [-1, -1]]]], [[7, 10, 1, 6, 2], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3, -3], [3, 3], [0, 0]]]], [[7, 10, 1, 6, 3
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [3, 3]
, [1, 1]]]], [[7, 10, 6, 1, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, y
< -2, z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [0, 0], [-3, -3], [-3, -3]]]], [[7, 10, 6, 1, 2], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [1172343/1048576, 146543/131072], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[7, 10, 6, 1, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2),
x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/
2], [1172343/1048576, 146543/131072], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[7, 10, 6, 1, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, y
< -2, z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[7, 10, 6, 1,
5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [0, 0], [-3, -3]
, [3, 3]]]], [[7, 12, 3, 8, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-3 <
x,x < -1), y = 1-x, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2],
[3, 3], [0, 0]]]], [[8, 4, 4, 1, 1], [v = 1, u = -2^(1/2), x = -1, y < -1, z <
-(1-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-\
1, -1], [-2, -2], [-3, -3]]]], [[8, 4, 4, 1, 2], [v = 1, u = -2^(1/2), x = -1,
y < -1, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455
/524288], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[8, 4,
4, 1, 3], [v = 1, u = -2^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1
], [-2, -2], [-1/4194304, -1/4194304]]]], [[8, 4, 4, 1, 4], [v = 1, u = -2^(1/
2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]
]]], [[8, 4, 4, 1, 5], [v = 1, u = -2^(1/2), x = -1, y < -1, (1-y)^(1/2) < z],
[regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [-2, -2
], [3, 3]]]], [[8, 6, 2, 3, 1], [v = 1, u = -1, x = -1, And(0 < y,y < 1), z <
-(1-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [1/2, 1/2], [-2, -\
2]]]], [[8, 6, 2, 3, 2], [v = 1, u = -1, x = -1, And(0 < y,y < 1), z = -(1-y)^
(1/2)], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[8, 6, 2, 3, 3], [v = 1, u = -1, x = -1, And(0
< y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [
-1, -1], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 6, 2, 3, 4], [v = 1, u = -1, x
= -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[8, 6, 2, 3, 5], [v =
1, u = -1, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1, 1]
, [-1, -1], [-1, -1], [1/2, 1/2], [2, 2]]]], [[8, 10, 6, 4, 1], [v = 1, u = 1,
x = 1, y = -1, z < 0], [regular_chain, [[1, 1], [1, 1], [1, 1], [-1, -1], [-1,
-1]]]], [[8, 10, 6, 4, 2], [v = 1, u = 1, x = 1, y = -1, z = 0], [
regular_chain, [[1, 1], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[8, 10, 6, 4, 3]
, [v = 1, u = 1, x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [1, 1], [1, 1
], [-1, -1], [1, 1]]]], [[8, 12, 7, 1, 1], [v = 1, u = 2^(1/2), And(0 < x,x <
1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[8, 12, 7, 1, 2], [v = 1
, u = 2^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [-7846825/
4194304, -980853/524288]]]], [[8, 12, 7, 1, 3], [v = 1, u = 2^(1/2), And(0 < x
,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[8
, 12, 7, 1, 4], [v = 1, u = 2^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [
-4, -4], [980853/524288, 1961707/1048576]]]], [[8, 12, 7, 1, 5], [v = 1, u = 2
^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1]
, [741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[9, 2, 7
, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x
-3, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[9, 2
, 7, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-5, -5], [-1112183/524288,
-2224365/1048576]]]], [[9, 2, 7, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^
(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-5, -5], [0, 0]]]], [[9, 2, 7, 1, 4], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]],
[[9, 2, 7, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1
), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-5, -5], [4, 4]]]
], [[9, 4, 4, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y =
1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-1, -1], [1, 1], [-1, -1]]]], [[9, 4, 4, 6, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1, -1], [1, 1], [0, 0]]]], [[9, 4, 4, 6, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [1, 1
], [1, 1]]]], [[9, 12, 5, 6, 1], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x <
1), y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[9, 14, 6,
1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, y < -2, z < -(-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [0, 0], [-3, -3], [-3, -3]]]], [[9, 14, 6, 1, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0
], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[9, 14, 6, 1, 3], [And(
1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[9, 
14, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, y < -2, z = (
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]]
, [[9, 14, 6, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, y < -2
, (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [0, 0], [-3, -3], [3, 3]]]], [[10, 2, 6, 3, 1
], [v = 2^(1/2), u = -2, x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-3/2, -3/
2], [-3, -3]]]], [[10, 2, 6, 3, 2], [v = 2^(1/2), u = -2, x = 0, And(-3 < y,y
< 0), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2
, -2], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[10, 2, 6
, 3, 3], [v = 2^(1/2), u = -2, x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [
0, 0], [-3/2, -3/2], [0, 0]]]], [[10, 2, 6, 3, 4], [v = 2^(1/2), u = -2, x = 0
, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-2, -2], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]]
, [[10, 2, 6, 3, 5], [v = 2^(1/2), u = -2, x = 0, And(-3 < y,y < 0), (-y)^(1/2
) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [
-3/2, -3/2], [3, 3]]]], [[10, 4, 4, 1, 1], [v = 2^(1/2), u = -3^(1/2), x = -1,
y < -1, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[10, 4
, 4, 1, 2], [v = 2^(1/2), u = -3^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[10, 4
, 4, 1, 3], [v = 2^(1/2), u = -3^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [
[10, 4, 4, 1, 4], [v = 2^(1/2), u = -3^(1/2), x = -1, y < -1, z = (1-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[
10, 4, 4, 1, 5], [v = 2^(1/2), u = -3^(1/2), x = -1, y < -1, (1-y)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[10, 8, 7, 7, 1], [v = 2^(1/2), u =
-1, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 10, 5, 1, 1], [v = 2^
(1/2), u = 0, And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [-4, -4], [-4, -4]]]]
, [[10, 10, 5, 1, 2], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), y < -x-3, z = -(
-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2
, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[10, 10, 5, 1, 3],
[v = 2^(1/2), u = 0, And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2
, -1/2], [-4, -4], [0, 0]]]], [[10, 10, 5, 1, 4], [v = 2^(1/2), u = 0, And(-1
< x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/
524288]]]], [[10, 10, 5, 1, 5], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), y < -x
-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[10, 16, 1, 2, 1], [v = 2^(1/2), u = 3
^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [0, 0], [-3, -3]
]]], [[10, 16, 1, 2, 2], [v = 2^(1/2), u = 3^(1/2), x < -2, y = 0, z = -(-x)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[10, 16, 1, 2, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093
/524288, 1816187/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[10
, 16, 1, 2, 4], [v = 2^(1/2), u = 3^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[10, 16, 1,
2, 5], [v = 2^(1/2), u = 3^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [0, 0], [3, 3]]]], [[10, 17, 11, 1, 1], [v = 2^(1/2), And(
3^(1/2) < u,u < 2), 1 < x, y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2],
[-6, -6], [-3, -3]]]], [[10, 17, 11, 1, 2], [v = 2^(1/2), And(3^(1/2) < u,u <
2), 1 < x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [-6, -6], [-2, -\
2]]]], [[10, 17, 11, 1, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y < -
u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [-6, -6]
, [0, 0]]]], [[10, 17, 11, 1, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x,
y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [2, 2], [-6, -6], [2, 2]]]], [[
10, 17, 11, 1, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y < -u^2-x+1,
(-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [2, 2], [-6, -6], [3, 3]]]], [[10, 18, 3, 6, 1], [
v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-2, -2], [2, 2], [-1, -1]]]], [[10,
18, 3, 6, 2], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [2, 2], [0
, 0]]]], [[10, 18, 3, 6, 3], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = -x,
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [
2, 2], [1, 1]]]], [[10, 19, 11, 5, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, And(-x
< y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [7, 7], [-4, -4], [0, 0]]]], [[11, 6, 2, 3, 1], [2^(1/2) < v, u = -v, x
= -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3],
[-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 6, 2, 3, 2], [2^(1/2) < v, u = -v, x
= -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3],
[-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[11, 6, 2, 3, 3
], [2^(1/2) < v, u = -v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1/2, 1/2], [0, 0]]]
], [[11, 6, 2, 3, 4], [2^(1/2) < v, u = -v, x = -1, And(0 < y,y < 1), z = (1-y
)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[11, 6, 2, 3, 5], [2^(1/2) < v, u = -v, x = -1, And
(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[11, 8, 3, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 
And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]],
[[11, 8, 3, 2, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -
x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [
[11, 8, 3, 2, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x
-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576
, -11863283/4194304], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[11, 8, 3, 2, 4]
, [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)]
, [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2]
, [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[11, 8, 3, 2, 5], [2^(1/
2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
-1/2, -1/2], [3, 3]]]], [[11, 12, 1, 7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x
< -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-4, -4], [9/2, 9/2], [0, 0]]]], [[11, 13, 9, 8, 1], [2^(1/2) < v
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = 0,
z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1581613/
2097152, 1581613/2097152], [0, 0], [0, 0]]]], [[11, 19, 7, 9, 1], [2^(1/2) < v
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), u^2-v^2-
x-1 < y, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[129511/524288, 129511/524288], [2, 2], [0, 0]]]], [[11, 21, 4, 8, 1], [2^(1/2
) < v, (v^2+2)^(1/2) < u, x = -1, y = u^2-v^2, z = z], [regular_chain, [[3, 3]
, [5, 5], [-1, -1], [16, 16], [0, 0]]]], [[1, 4, 6, 3, 1], [v < -2^(1/2), u =
-(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[
-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [-1, -1], [-2, -2]]]], [[1
, 4, 6, 3, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z
= -(-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536],
[0, 0], [-1, -1], [-1, -1]]]], [[1, 4, 6, 3, 3], [v < -2^(1/2), u = -(v^2+1)^(
1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [-1, -1],
[0, 0]]]], [[1, 4, 6, 3, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, And(-2
< y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [0, 0], [-1, -1], [1, 1]]]], [[1, 4, 6, 3, 5], [v < -2^(1/2), u
= -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [
[-3, -3], [-3315889/1048576, -207243/65536], [0, 0], [-1, -1], [2, 2]]]], [[1,
6, 5, 6, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 11, 11
, 2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1
< x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [9, 9], [-19, -19], [-5, -5]]]], [[1, 11, 11, 2, 2], [v < -2^(1/2), And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-19, -19], [-\
3315889/1048576, -207243/65536]]]], [[1, 11, 11, 2, 3], [v < -2^(1/2), And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1, And(-(-u^
2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0]
, [9, 9], [-19, -19], [0, 0]]]], [[1, 11, 11, 2, 4], [v < -2^(1/2), And(-(v^2-\
2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-19, -19], [207243/
65536, 3315889/1048576]]]], [[1, 11, 11, 2, 5], [v < -2^(1/2), And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-19, -19], [5, 5]]]], [[1,
13, 8, 5, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^
2+v^2-1, And(u^2-v^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [1435023
/524288, 1435023/524288], [133259/262144, 533037/1048576], [-133259/524288, -\
133259/524288], [0, 0]]]], [[1, 17, 11, 1, 1], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [403851/131072, 403851/131072], [2, 2], [-5, -5], [-3, -3]]]], [[1, 
17, 11, 1, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v
^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[1, 17, 
11, 1, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]],
[[1, 17, 11, 1, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -
u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[1, 17
, 11, 1, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2
-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [2, 2], [-5, -5], [3, 3]]]], [[1, 19, 10, 4, 1], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[
-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[
1, 19, 10, 4, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
1, y = -1, z = 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1, 1], [-1, -1], [0, 0]]]], [[1, 19, 10, 4, 3], [v < -2^(1/2), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [
[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-1, -1], [1, 1]]]], [[2
, 3, 9, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1),
And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288],
[-1048577/2097152, -1048577/2097152], [0, 0]]]], [[2, 5, 8, 6, 1], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x = 0, y = 0, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [0, 0]
, [-1, -1]]]], [[2, 5, 8, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0
, y = 0, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [0, 0], [0, 0], [0, 0]]]], [[2, 5, 8, 6, 3
], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, y = 0, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [0, 0], [0, 0], [1, 1]]]], [[2, 5, 11, 8, 1], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), 1 < x, y = 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [2, 2], [0, 0]
, [0, 0]]]], [[2, 8, 1, 7, 1], [v = -2^(1/2), u = -1, x < -2, -x < y, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [4, 4
], [0, 0]]]], [[2, 13, 6, 6, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1,
y = u^2-1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [239655/
524288, 479311/1048576], [-1, -1]]]], [[2, 13, 6, 6, 2], [v = -2^(1/2), And(1
< u,u < -v), x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576, -\
239655/524288], [239655/524288, 479311/1048576], [0, 0]]]], [[2, 13, 6, 6, 3],
[v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, y = u^2-1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [239655/524288, 479311/1048576],
[1, 1]]]], [[2, 15, 7, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-\
3 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-275385
/1048576, -275385/1048576], [275385/2097152, 275385/2097152], [-2, -2]]]], [[2
, 15, 7, 7, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [275385/2097152, 275385/2097152], [-47497/131072, -379975/1048576]]]
], [[2, 15, 7, 7, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x
< 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/2097152, 275385/2097152]
, [0, 0]]]], [[2, 15, 7, 7, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^
2-3 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-275385
/1048576, -275385/1048576], [275385/2097152, 275385/2097152], [379975/1048576,
47497/131072]]]], [[2, 15, 7, 7, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 
And(u^2-3 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
275385/1048576, -275385/1048576], [275385/2097152, 275385/2097152], [2, 2]]]],
[[2, 19, 6, 5, 1], [v = -2^(1/2), 2 < u, x = 0, And(0 < y,y < u^2-3), z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [3, 3], [
0, 0]]]], [[3, 2, 1, 8, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x <
-3, y = 1-x, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-4, -4], [5, 5], [0, 0]]]], [[3, 7, 8, 5,
1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+
v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-225185/
1048576, -225185/1048576], [-2, -2]]]], [[3, 7, 8, 5, 2], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [-225185/1048576, -225185/1048576], [-\
242963/524288, -485925/1048576]]]], [[3, 7, 8, 5, 3], [And(-2^(1/2) < v,v < -1
), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^
(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-225185/1048576, -\
225185/1048576], [0, 0]]]], [[3, 7, 8, 5, 4], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-225185/1048576, -225185/1048576], [485925/1048576,
242963/524288]]]], [[3, 7, 8, 5, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-225185/1048576, -225185/1048576], [2, 2]]]], [[3,
9, 7, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), And(0 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576],
[239655/1048576, 29957/131072], [0, 0]]]], [[3, 17, 5, 8, 1], [And(-2^(1/2) <
v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1/2, -1/2], [
7385009/1048576, 3692505/524288], [0, 0]]]], [[4, 2, 1, 2, 1], [v = -1, u = -3
^(1/2), x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [0, 0], [-3, -3]]]], [[4, 2, 1, 2, 2], [
v = -1, u = -3^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[4,
2, 1, 2, 3], [v = -1, u = -3^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
4, -4], [0, 0], [0, 0]]]], [[4, 2, 1, 2, 4], [v = -1, u = -3^(1/2), x < -3, y
= 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [0, 0], [2, 2]]]], [[4, 2, 1, 2, 5], [v = -1, u = -3^(1/2)
, x < -3, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576
, -3632373/2097152], [-4, -4], [0, 0], [3, 3]]]], [[4, 7, 8, 1, 1], [v = -1, 
And(-1 < u,u < 0), x = 0, y < u^2-2, z < -(-y)^(1/2)], [regular_chain, [[-1, -\
1], [-1/2, -1/2], [0, 0], [-3, -3], [-3, -3]]]], [[4, 7, 8, 1, 2], [v = -1, 
And(-1 < u,u < 0), x = 0, y < u^2-2, z = -(-y)^(1/2)], [regular_chain, [[-1, -\
1], [-1/2, -1/2], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [
[4, 7, 8, 1, 3], [v = -1, And(-1 < u,u < 0), x = 0, y < u^2-2, And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-3, -3
], [-1/4194304, -1/4194304]]]], [[4, 7, 8, 1, 4], [v = -1, And(-1 < u,u < 0),
x = 0, y < u^2-2, z = (-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0
, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[4, 7, 8, 1, 5], [v = -1
, And(-1 < u,u < 0), x = 0, y < u^2-2, (-y)^(1/2) < z], [regular_chain, [[-1,
-1], [-1/2, -1/2], [0, 0], [-3, -3], [3, 3]]]], [[4, 9, 7, 4, 1], [v = -1, And
(0 < u,u < 1), And(-u^2 < x,x < 0), y = -u^2-x, z < -u], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1/8, -1/8], [-1/8, -1/8], [-2, -2]]]], [[4, 9, 7, 4, 2], [v
= -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-1/8, -1/8], [-1/2, -1/2]
]]], [[4, 9, 7, 4, 3], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -u^
2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8],
[-1/8, -1/8], [0, 0]]]], [[4, 9, 7, 4, 4], [v = -1, And(0 < u,u < 1), And(-u^2
< x,x < 0), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8,
-1/8], [-1/8, -1/8], [1/2, 1/2]]]], [[4, 9, 7, 4, 5], [v = -1, And(0 < u,u < 1
), And(-u^2 < x,x < 0), y = -u^2-x, u < z], [regular_chain, [[-1, -1], [1/2, 1
/2], [-1/8, -1/8], [-1/8, -1/8], [2, 2]]]], [[4, 13, 9, 7, 1], [v = -1, And(2^
(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(u^2-x-2 < y,y < 0), z = z],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [773191/1048576
, 773191/1048576], [-275385/2097152, -275385/2097152], [0, 0]]]], [[4, 15, 7,
1, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y < -u^2-x, z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-11, -11], [-5, -5]]]], [[4, 
15, 7, 1, 2], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y < -u^2-x, z = -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-11, -11], [-3397775/
1048576, -1698887/524288]]]], [[4, 15, 7, 1, 3], [v = -1, 3^(1/2) < u, And(0 <
x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1, -1], [3, 3], [1/2, 1/2], [-11, -11], [0, 0]]]], [[4, 15, 7, 1, 4], [v
= -1, 3^(1/2) < u, And(0 < x,x < 1), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-11, -11], [1698887/524288, 
3397775/1048576]]]], [[4, 15, 7, 1, 5], [v = -1, 3^(1/2) < u, And(0 < x,x < 1)
, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2]
, [-11, -11], [5, 5]]]], [[5, 5, 8, 2, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1
/2) < u,u < v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-736367/524288
, -1472733/1048576], [-3, -3]]]], [[5, 5, 8, 2, 2], [And(-1 < v,v < 0), And(-(
v^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-\
736367/524288, -1472733/1048576], [-19417/16384, -1242687/1048576]]]], [[5, 5,
8, 2, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v
^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1
/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-736367/524288, -\
1472733/1048576], [0, 0]]]], [[5, 5, 8, 2, 4], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-\
736367/524288, -1472733/1048576], [1242687/1048576, 19417/16384]]]], [[5, 5, 8
, 2, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v^
2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [0, 0], [-736367/524288, -1472733/1048576], [3, 3]]]], [[5,
7, 9, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(u^2-
v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[5, 7, 9, 3, 2], [And(-1 <
v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^
2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2],
[-3/2, -3/2], [-1, -1]]]], [[5, 7, 9, 3, 3], [And(-1 < v,v < 0), And(v < u,u <
-v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [
-3/2, -3/2], [0, 0]]]], [[5, 7, 9, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v
), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[
5, 7, 9, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), And(u
^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [0, 0], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[5, 8, 1, 1, 1], [And(-1 <
v,v < 0), u = -v, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [1/2, 1/2], [-2, -2], [-1, -1], [-3, -3]]]], [[5, 8, 1, 1, 2], [And(-1 <
v,v < 0), u = -v, x < -1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [1/2, 1/2], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]],
[[5, 8, 1, 1, 3], [And(-1 < v,v < 0), u = -v, x < -1, y < 0, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [
-1, -1], [-1/4194304, -1/4194304]]]], [[5, 8, 1, 1, 4], [And(-1 < v,v < 0), u
= -v, x < -1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1
/2], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[5, 8, 1, 1, 5]
, [And(-1 < v,v < 0), u = -v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [-1, -1], [3, 3]]]], [[5, 10, 2, 2, 1],
[And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [0,
0], [-3, -3]]]], [[5, 10, 2, 2, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x =
-2, y = 0, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[5,
10, 2, 2, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, y = 0, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-2, -2], [0, 0], [0, 0]]]], [[5, 10, 2, 2, 4], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-2, -2], [0, 0], [741455/524288, 1482911/
1048576]]]], [[5, 10, 2, 2, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2,
y = 0, 2^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-2, -2], [0, 0], [3, 3]]]], [[6, 2, 3, 3, 1], [v = 0, u = -2^(1/2),
And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-3, -3]]]
], [[6, 2, 3, 3, 2], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [[6, 2
, 3, 3, 3], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[6, 2, 3, 3, 4],
[v = 0, u = -2^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2
)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [-1
/2, -1/2], [207243/131072, 1657945/1048576]]]], [[6, 2, 3, 3, 5], [v = 0, u =
-2^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -\
1/2], [3, 3]]]], [[6, 3, 11, 6, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, y
= u^2-x-1, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [2, 2], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[6, 8, 3,
4, 1], [v = 0, u = 1, And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[6, 8, 3,
4, 2], [v = 0, u = 1, And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [0, 0], [-1284239/1048576, -\
642119/524288]]]], [[6, 8, 3, 4, 3], [v = 0, u = 1, And(-2 < x,x < -1), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3/2,
-3/2], [0, 0], [0, 0]]]], [[6, 8, 3, 4, 4], [v = 0, u = 1, And(-2 < x,x < -1),
y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [0, 0],
[642119/524288, 1284239/1048576]]]], [[6, 8, 3, 4, 5], [v = 0, u = 1, And(-2 <
x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/
2], [0, 0], [3, 3]]]], [[6, 10, 2, 1, 1], [v = 0, u = 2^(1/2), x = -3, y < 0,
z < -(3-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[-3, -3], [-1, -1], [-3, -3]]]], [[6, 10, 2, 1, 2], [v = 0, u = 2^(1/2), x = -\
3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[6, 10, 2, 1, 3], [v = 0, u = 2^(1
/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[
0, 0], [741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[6, 
10, 2, 1, 4], [v = 0, u = 2^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [-1, -1],
[2, 2]]]], [[6, 10, 2, 1, 5], [v = 0, u = 2^(1/2), x = -3, y < 0, (3-y)^(1/2)
< z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [-1
, -1], [3, 3]]]], [[7, 4, 1, 4, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x <
-2, y = -x-2, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[7, 4, 1, 4, 2], [And(0 < v,
v < 1), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [
[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[7, 4, 1, 4, 3], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/
2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [0, 0]]]], [[7,
4, 1, 4, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = 2^(1
/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3
], [1, 1], [741455/524288, 1482911/1048576]]]], [[7, 4, 1, 4, 5], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[1/
2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [3, 3]]]], [[7,
5, 11, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-x
< y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [-1, -1], [0, 0]]]], [[7, 13, 11, 7, 1], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-5/8, -5/8], [0, 0]]]], [[8, 2, 6
, 4, 1], [v = 1, u = -3^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[1, 1],
[-1816187/1048576, -3632373/2097152], [0, 0], [0, 0], [-1, -1]]]], [[8, 2, 6,
4, 2], [v = 1, u = -3^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [0, 0], [0, 0], [0, 0]]]], [[8, 2, 6, 4, 3
], [v = 1, u = -3^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [0, 0], [0, 0], [1, 1]]]], [[8, 8, 3, 2, 1
], [v = 1, u = 0, And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain,
[[1, 1], [0, 0], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[8, 8, 3, 2, 2], [v
= 1, u = 0, And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1,
1], [0, 0], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]],
[[8, 8, 3, 2, 3], [v = 1, u = 0, And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) <
z,z < 2^(1/2))], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-1/2, -1/2],
[0, 0]]]], [[8, 8, 3, 2, 4], [v = 1, u = 0, And(-2 < x,x < -1), y = -x-2, z =
2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-1/2, -1/2], [741455
/524288, 1482911/1048576]]]], [[8, 8, 3, 2, 5], [v = 1, u = 0, And(-2 < x,x <
-1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-\
1/2, -1/2], [3, 3]]]], [[8, 10, 1, 4, 1], [v = 1, u = 1, x < -1, y = -1-x, z <
-1], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [-2, -2]]]], [[8, 10,
1, 4, 2], [v = 1, u = 1, x < -1, y = -1-x, z = -1], [regular_chain, [[1, 1], [
1, 1], [-2, -2], [1, 1], [-1, -1]]]], [[8, 10, 1, 4, 3], [v = 1, u = 1, x < -1
, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1,
1], [0, 0]]]], [[8, 10, 1, 4, 4], [v = 1, u = 1, x < -1, y = -1-x, z = 1], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [1, 1], [1, 1]]]], [[8, 10, 1, 4, 5]
, [v = 1, u = 1, x < -1, y = -1-x, 1 < z], [regular_chain, [[1, 1], [1, 1], [-\
2, -2], [1, 1], [2, 2]]]], [[8, 14, 4, 4, 1], [v = 1, u = 3^(1/2), x = -1, y =
0, z < -1], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1
], [0, 0], [-2, -2]]]], [[8, 14, 4, 4, 2], [v = 1, u = 3^(1/2), x = -1, y = 0,
z = -1], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1],
[0, 0], [-1, -1]]]], [[8, 14, 4, 4, 3], [v = 1, u = 3^(1/2), x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576],
[-1, -1], [0, 0], [0, 0]]]], [[8, 14, 4, 4, 4], [v = 1, u = 3^(1/2), x = -1, y
= 0, z = 1], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -\
1], [0, 0], [1, 1]]]], [[8, 14, 4, 4, 5], [v = 1, u = 3^(1/2), x = -1, y = 0,
1 < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [
0, 0], [2, 2]]]], [[9, 1, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2
), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [
763943/1048576, 763943/1048576], [-5, -5]]]], [[9, 1, 1, 3, 2], [And(1 < v,v <
2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[-10, -10], [763943/1048576, 763943/1048576], [-3192815/1048576, -1596407/
524288]]]], [[9, 1, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10]
, [763943/1048576, 763943/1048576], [0, 0]]]], [[9, 1, 1, 3, 4], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3]
, [-10, -10], [763943/1048576, 763943/1048576], [1596407/524288, 3192815/
1048576]]]], [[9, 1, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [763943/1048576, 
763943/1048576], [5, 5]]]], [[9, 6, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v,
And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [-1/4, -1/4], [-2, -2]]]], [[9, 6, 3, 3, 2], [And(1 < v,v < 2^(1/2)),
u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/
4194304]]]], [[9, 6, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x <
0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[9
, 6, 3, 3, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), And(-1-x <
y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [
908093/1048576, 454047/524288]]]], [[9, 6, 3, 3, 5], [And(1 < v,v < 2^(1/2)),
u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[9, 8, 3, 7, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), -x < y, z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [3, 3], [0, 0]]]], [[9, 8, 8, 5, 1], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [-1/2, -1/2], [0, 0]]]], [[9, 10, 7, 2, 1], [And(1 < v,v < 2
^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[9, 10, 7, 2, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[9
, 10, 7, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1),
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-5/2, -5/2], [
0, 0]]]], [[9, 10, 7, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0
< x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-5/2, -5/2], [741455/
524288, 1482911/1048576]]]], [[9, 10, 7, 2, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2]
, [-5/2, -5/2], [3, 3]]]], [[9, 16, 3, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^
2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[5/2, 5/2], [0, 0]]]], [[9, 17, 11, 6, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1
/2) < u, u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [8, 8], [-1527887/1048576, -763943/524288],
[0, 0]]]], [[10, 4, 8, 6, 1], [v = 2^(1/2), u = -3^(1/2), x = 1, y = 0, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [1, 1], [0, 0], [0, 0]]]], [[10, 6, 7, 3, 1], [v = 2^(1/2),
u = -v, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [
-5/2, -5/2], [-2, -2]]]], [[10, 6, 7, 3, 2], [v = 2^(1/2), u = -v, 1 < x, And(
-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-5/2, -5/2], [-1482911
/2097152, -741455/1048576]]]], [[10, 6, 7, 3, 3], [v = 2^(1/2), u = -v, 1 < x,
And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2
], [-5/2, -5/2], [0, 0]]]], [[10, 6, 7, 3, 4], [v = 2^(1/2), u = -v, 1 < x, 
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-5/2, -5/2], [
741455/1048576, 46341/65536]]]], [[10, 6, 7, 3, 5], [v = 2^(1/2), u = -v, 1 <
x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-5/2, -5/2], [2
, 2]]]], [[10, 12, 2, 1, 1], [v = 2^(1/2), u = 1, x = -2, y < 0, z < -(2-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-1
, -1], [-3, -3]]]], [[10, 12, 2, 1, 2], [v = 2^(1/2), u = 1, x = -2, y < 0, z
= -(2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-\
2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 2, 1, 3],
[v = 2^(1/2), u = 1, x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-1, -1],
[-1/4194304, -1/4194304]]]], [[10, 12, 2, 1, 4], [v = 2^(1/2), u = 1, x = -2,
y < 0, z = (2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[10, 12, 2, 1,
5], [v = 2^(1/2), u = 1, x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-1, -1], [3, 3]]]], [[10,
13, 11, 7, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, And(-x < y,y < 0), z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[11, 2, 6, 2, 1], [2^(1/2) < v
, u = -(v^2+2)^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[3, 3], [
-1738867/524288, -3477733/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[11, 2, 6,
2, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [-3, -3],
[-1816187/1048576, -3632373/2097152]]]], [[11, 2, 6, 2, 3], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [-3, -3], [-1/4194304, -\
1/4194304]]]], [[11, 2, 6, 2, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, y =
-3, z = 3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576]
, [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[11, 2, 6, 2, 5], [2
^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [-3, -3], [3, 3]]]], [[11
, 4, 3, 7, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-2 < x,x < -1), -x < y, z
= z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3/2, -3/2]
, [3, 3], [0, 0]]]], [[11, 10, 1, 4, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x <
-3, y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-4, -4], [1, 1], [-3, -3]]]], [[11, 10, 1, 4, 2], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [-1816187/1048576,
-3632373/2097152]]]], [[11, 10, 1, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x
< -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [-1/4194304, -1/4194304]
]]], [[11, 10, 1, 4, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y = -x-3, z
= 3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4
, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[11, 10, 1, 4, 5], [2^(1/
2) < v, u = -(v^2-2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[
3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [3, 3]]]], [[11
, 11, 9, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1
< x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-19/2, -19/2], [-4, -4]]]], [[11,
11, 9, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 <
x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-19/2, -19/2], [-146543/65536, -\
2344687/1048576]]]], [[11, 11, 9, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [0, 0], [9/
2, 9/2], [-19/2, -19/2], [0, 0]]]], [[11, 11, 9, 3, 4], [2^(1/2) < v, And(-(v^
2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [
-19/2, -19/2], [2344687/1048576, 146543/65536]]]], [[11, 11, 9, 3, 5], [2^(1/2
) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), 
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0
], [9/2, 9/2], [-19/2, -19/2], [4, 4]]]], [[11, 15, 8, 5, 1], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2
)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-\
516571/2097152, -516571/2097152], [-2, -2]]]], [[11, 15, 8, 5, 2], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(
1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-\
516571/2097152, -516571/2097152], [-16263/32768, -520415/1048576]]]], [[11, 15
, 8, 5, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1
< y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152],
[0, 0]]]], [[11, 15, 8, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x =
0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152],
[520415/1048576, 16263/32768]]]], [[11, 15, 8, 5, 5], [2^(1/2) < v, And((v^2-1
)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-516571/
2097152, -516571/2097152], [2, 2]]]], [[11, 17, 9, 2, 1], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
267551651/134217728, -133775825/67108864], [-3, -3]]]], [[11, 17, 9, 2, 2], [2
^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [1/2, 1/2], [-267551651/134217728, -133775825/67108864], [-1281417/
1048576, -160177/131072]]]], [[11, 17, 9, 2, 3], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [1/2, 1/2], [-267551651/134217728, -133775825/67108864], [0, 0]]]], [
[11, 17, 9, 2, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1
), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [1/2, 1/2], [-267551651/134217728, -133775825/67108864
], [160177/131072, 1281417/1048576]]]], [[11, 17, 9, 2, 5], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [
-267551651/134217728, -133775825/67108864], [3, 3]]]], [[1, 1, 2, 3, 1], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(
u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [17/2, 
17/2], [-4, -4]]]], [[1, 1, 2, 3, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -
u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain
, [[-3, -3], [-5, -5], [-17, -17], [17/2, 17/2], [-24456785/8388608, -1528549/
524288]]]], [[1, 1, 2, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-\
1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1
/2))], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [17/2, 17/2], [0, 0]]]
], [[1, 1, 2, 3, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [-17, -17], [17/2, 17/2], [1528549/524288, 3057099/1048576]]]], [[1, 1, 2
, 3, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-
v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-17, -\
17], [17/2, 17/2], [4, 4]]]], [[1, 2, 8, 6, 1], [v < -2^(1/2), u = -(v^2+2)^(1
/2), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [1, 1], [0, 0], [0, 0]]]], [[1, 8, 5, 4, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain
, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [-2,
-2]]]], [[1, 8, 5, 4, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]
], [[1, 8, 5, 4, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 8, 5, 4, 4]
, [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)]
, [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/
2], [0, 0], [741455/1048576, 46341/65536]]]], [[1, 8, 5, 4, 5], [v < -2^(1/2),
u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [2, 2]
]]], [[1, 10, 3, 8, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1),
y = 1-x, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [3, 3], [0, 0]]]], [[1, 13, 11, 6, 1], [v < -2^(1/2), And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [2, 2], [-391029/
262144, -1564115/1048576], [0, 0]]]], [[1, 15, 10, 9, 1], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), x = 1, 0 < y, z = z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1, 1], [1, 1], [0, 0]]]], [[1, 21, 6, 6, 1
], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 0, y = u^2-v^2-1, z = z], [
regular_chain, [[-3, -3], [5, 5], [0, 0], [15, 15], [0, 0]]]], [[2, 2, 1, 9, 1
], [v = -2^(1/2), u = -2, x < -3, 1-x < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-4, -4], [6, 6], [0, 0]]]], [[2, 9, 11, 1
, 1], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [
-6, -6], [-3, -3]]]], [[2, 9, 11, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), 1 <
x, y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [2, 2], [-6, -6], [-2, -2]]]], [[2, 9, 11, 1, 3]
, [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2
, -1/2], [2, 2], [-6, -6], [0, 0]]]], [[2, 9, 11, 1, 4], [v = -2^(1/2), And(-1
< u,u < 0), 1 < x, y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-6, -6], [2, 2]]]], [[2, 9, 
11, 1, 5], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, y < u^2-x-3, (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2
], [-6, -6], [3, 3]]]], [[2, 11, 8, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), x
= -u^2+1, y = u^2-1, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [3/4, 3/4], [-3/4, -3/4], [-1, -1]]]], [[2, 11, 8, 4, 2],
[v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, y = u^2-1, z = 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-3/4, -3/4], [
0, 0]]]], [[2, 11, 8, 4, 3], [v = -2^(1/2), And(0 < u,u < 1), x = -u^2+1, y =
u^2-1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2]
, [3/4, 3/4], [-3/4, -3/4], [1, 1]]]], [[2, 17, 6, 1, 1], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), x = 0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0],
[-4, -4], [-3, -3]]]], [[2, 17, 6, 1, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), x = 0, y < -u^2+1, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [0, 0], [-4, -4], [-2, -2]
]]], [[2, 17, 6, 1, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y < -u^2
+1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [0, 0], [-4, -4], [0, 0]]
]], [[2, 17, 6, 1, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y < -u^2+
1, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [0, 0], [-4, -4], [2, 2]]]], [[2, 17, 6, 1,
5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y < -u^2+1, (-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339
/2097152], [0, 0], [-4, -4], [3, 3]]]], [[2, 19, 3, 6, 1], [v = -2^(1/2), 2 <
u, And(-u^2+1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [-9/2, -9/2], [9/2, 9/2], [-1, -1]]]], [[2, 19, 3, 6,
2], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [9/2
, 9/2], [0, 0]]]], [[2, 19, 3, 6, 3], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x <
-1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-9/2, -9/2], [9/2, 9/2], [1, 1]]]], [[3, 3, 9, 4, 1], [And(-2^(1/2) < v,v
< -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y
= -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-\
775271/1048576, -775271/1048576], [-1, -1]]]], [[3, 3, 9, 4, 2], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-\
775271/1048576, -775271/1048576], [0, 0]]]], [[3, 3, 9, 4, 3], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1
), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-\
775271/1048576, -775271/1048576], [1, 1]]]], [[3, 5, 8, 5, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < 0), z <
-(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [0, 0], [-558339/2097152, -558339/2097152], [-2,
-2]]]], [[3, 5, 8, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [0,
0], [-558339/2097152, -558339/2097152], [-270523/524288, -1082091/2097152]]]],
[[3, 5, 8, 5, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
= 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-558339/2097152, -558339/2097152], [-1/4194304, -1/
4194304]]]], [[3, 5, 8, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), x = 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [0,
0], [-558339/2097152, -558339/2097152], [541045/1048576, 270523/524288]]]], [[
3, 5, 8, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-\
558339/2097152, -558339/2097152], [2, 2]]]], [[3, 11, 6, 2, 1], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-598205/
524288, -1196409/1048576], [-3, -3]]]], [[3, 11, 6, 2, 2], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-598205/
524288, -1196409/1048576], [-1314069/1048576, -328517/262144]]]], [[3, 11, 6,
2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-\
1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-598205/524288, -1196409/1048576
], [0, 0]]]], [[3, 11, 6, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-598205/524288, -1196409/1048576
], [328517/262144, 1314069/1048576]]]], [[3, 11, 6, 2, 5], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-598205/
524288, -1196409/1048576], [3, 3]]]], [[3, 13, 7, 3, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1
< y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -\
139585/524288], [-384703/524288, -384703/524288], [-2, -2]]]], [[3, 13, 7, 3,
2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [-384703/524288, -384703/
524288], [-1, -1]]]], [[3, 13, 7, 3, 3], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^
2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/
524288, -139585/524288], [-384703/524288, -384703/524288], [0, 0]]]], [[3, 13,
7, 3, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^
2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [-384703/524288, -384703/
524288], [1, 1]]]], [[3, 13, 7, 3, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x
-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-384703
/524288, -384703/524288], [2, 2]]]], [[3, 13, 10, 4, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [1, 1], [-3213833/2097152, -401729/262144], [-2, -2]]]], [[3
, 13, 10, 4, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-3213833/
2097152, -401729/262144], [-765155/1048576, -1530309/2097152]]]], [[3, 13, 10,
4, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = u^
2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1,
1], [-3213833/2097152, -401729/262144], [-1/4194304, -1/4194304]]]], [[3, 13,
10, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y
= u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-3213833/
2097152, -401729/262144], [382577/524288, 765155/1048576]]]], [[3, 13, 10, 4,
5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v
^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-3213833/2097152, -\
401729/262144], [2, 2]]]], [[3, 15, 9, 7, 1], [And(-2^(1/2) < v,v < -1), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1
< y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-273305/
2097152, -273305/2097152], [0, 0]]]], [[4, 3, 8, 6, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = u^2-2, y = 0, z = z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [0, 0], [
0, 0]]]], [[4, 5, 7, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x
< 0), -x < y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [2, 2], [0, 0]]]], [[4, 9, 10, 5
, 1], [v = -1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < -1), z < -(-y-1)^(1
/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-9/8, -9/8], [-2, -2]]]]
, [[4, 9, 10, 5, 2], [v = -1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < -1),
z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-9/8, -9/8
], [-46341/131072, -370727/1048576]]]], [[4, 9, 10, 5, 3], [v = -1, And(0 < u,
u < 1), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))
], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-9/8, -9/8], [0, 0]]]], [[4
, 9, 10, 5, 4], [v = -1, And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < -1), z =
(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-9/8, -9/8], [
370727/1048576, 46341/131072]]]], [[4, 9, 10, 5, 5], [v = -1, And(0 < u,u < 1)
, x = 1, And(-u^2-1 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1],
[1/2, 1/2], [1, 1], [-9/8, -9/8], [2, 2]]]], [[4, 11, 11, 4, 1], [v = -1, And(
1 < u,u < 2^(1/2)), 1 < x, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-5332835/2097152, -\
2666417/1048576], [-2, -2]]]], [[4, 11, 11, 4, 2], [v = -1, And(1 < u,u < 2^(1
/2)), 1 < x, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [2, 2], [-5332835/2097152, -2666417/1048576
], [-772605/1048576, -1545209/2097152]]]], [[4, 11, 11, 4, 3], [v = -1, And(1
< u,u < 2^(1/2)), 1 < x, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/
2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [
-5332835/2097152, -2666417/1048576], [-1/4194304, -1/4194304]]]], [[4, 11, 11,
4, 4], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = u^2-x-2, z = (-u^2+2)^(1/2)
], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
5332835/2097152, -2666417/1048576], [193151/262144, 772605/1048576]]]], [[4, 
11, 11, 4, 5], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = u^2-x-2, (-u^2+2)^(
1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2,
2], [-5332835/2097152, -2666417/1048576], [2, 2]]]], [[5, 2, 1, 3, 1], [And(-1
< v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1/2, 1/2], [-3, -3]
]]], [[5, 2, 1, 3, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(0 <
y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2],
[-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[5, 2, 1, 3, 3],
[And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2],
[-4, -4], [1/2, 1/2], [0, 0]]]], [[5, 2, 1, 3, 4], [And(-1 < v,v < 0), u = -(v
^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/
1048576]]]], [[5, 2, 1, 3, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3,
And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2,
-3/2], [-4, -4], [1/2, 1/2], [3, 3]]]], [[5, 3, 9, 8, 1], [And(-1 < v,v < 0),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = 0, z
= z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
1534619/2097152, 1534619/2097152], [0, 0], [0, 0]]]], [[5, 11, 11, 5, 1], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-x < y,y
< u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [2, 2], [-1854131/1048576, -1854131/1048576], [0, 0]]]], [[5, 13, 8,
8, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, y = u^2-v^2-2, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [27/4, 27/4], [0, 0]]]], [[6, 5,
9, 9, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0]]]], [[6, 7, 
10, 8, 1], [v = 0, And(0 < u,u < 1), x = 1, y = 0, z = z], [regular_chain, [[0
, 0], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[6, 11, 9, 6, 1], [v = 0, 2^(1/2
) < u, And(1 < x,x < u^2-1), y = 0, z = z], [regular_chain, [[0, 0], [3, 3], [
9/2, 9/2], [0, 0], [0, 0]]]], [[7, 2, 4, 9, 1], [And(0 < v,v < 1), u = -(v^2+2
)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1
, -1], [3, 3], [0, 0]]]], [[7, 7, 11, 6, 1], [And(0 < v,v < 1), And(-v < u,u <
v), 1 < x, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-2, -\
2], [-1, -1]]]], [[7, 7, 11, 6, 2], [And(0 < v,v < 1), And(-v < u,u < v), 1 <
x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-2, -2], [0,
0]]]], [[7, 7, 11, 6, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = -x,
0 < z], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[7,
10, 1, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-3, -3], [2, 2], [-2, -2]]]], [[7, 10, 1, 5, 2], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [2, 2]
, [-1, -1]]]], [[7, 10, 1, 5, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2
, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [2, 2]
, [0, 0]]]], [[7, 10, 1, 5, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2,
And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343
/1048576, 146543/131072], [-3, -3], [2, 2], [1, 1]]]], [[7, 10, 1, 5, 5], [And
(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [
2, 2], [2, 2]]]], [[7, 10, 5, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And
(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576,
146543/131072], [-1/2, -1/2], [2, 2], [0, 0]]]], [[7, 12, 3, 7, 1], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-2, -2], [5/2, 5/2], [0, 0]]]], [[8,
4, 4, 2, 1], [v = 1, u = -2^(1/2), x = -1, y = -1, z < -2^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1]
, [-3, -3]]]], [[8, 4, 4, 2, 2], [v = 1, u = -2^(1/2), x = -1, y = -1, z = -2^
(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1, -1],
[-1, -1], [-1482911/1048576, -741455/524288]]]], [[8, 4, 4, 2, 3], [v = 1, u =
-2^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [0, 0]]]], [[8, 4,
4, 2, 4], [v = 1, u = -2^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [741455/
524288, 1482911/1048576]]]], [[8, 4, 4, 2, 5], [v = 1, u = -2^(1/2), x = -1, y
= -1, 2^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288
], [-1, -1], [-1, -1], [3, 3]]]], [[8, 6, 2, 4, 1], [v = 1, u = -1, x = -1, y
= 1, z < 0], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [1, 1], [-1, -1]]]],
[[8, 6, 2, 4, 2], [v = 1, u = -1, x = -1, y = 1, z = 0], [regular_chain, [[1,
1], [-1, -1], [-1, -1], [1, 1], [0, 0]]]], [[8, 6, 2, 4, 3], [v = 1, u = -1, x
= -1, y = 1, 0 < z], [regular_chain, [[1, 1], [-1, -1], [-1, -1], [1, 1], [1,
1]]]], [[8, 10, 6, 3, 1], [v = 1, u = 1, x = 1, And(-2 < y,y < -1), z < -(-y-1
)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1, 1], [-3/2, -3/2], [-2, -2]]]],
[[8, 10, 6, 3, 2], [v = 1, u = 1, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)
], [regular_chain, [[1, 1], [1, 1], [1, 1], [-3/2, -3/2], [-1482911/2097152, -\
741455/1048576]]]], [[8, 10, 6, 3, 3], [v = 1, u = 1, x = 1, And(-2 < y,y < -1
), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [1, 1],
[1, 1], [-3/2, -3/2], [0, 0]]]], [[8, 10, 6, 3, 4], [v = 1, u = 1, x = 1, And(
-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1, 1], [-\
3/2, -3/2], [741455/1048576, 46341/65536]]]], [[8, 10, 6, 3, 5], [v = 1, u = 1
, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [1, 1
], [1, 1], [-3/2, -3/2], [2, 2]]]], [[8, 12, 6, 5, 1], [v = 1, u = 2^(1/2), x
= 0, 0 < y, z = z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576],
[0, 0], [1, 1], [0, 0]]]], [[9, 2, 7, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^
2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2,
1/2], [-7/2, -7/2], [-3, -3]]]], [[9, 2, 7, 2, 2], [And(1 < v,v < 2^(1/2)), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2
, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[9, 2, 7, 2, 3
], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, 
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-7/2, -7/2], [-1/
4194304, -1/4194304]]]], [[9, 2, 7, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+
2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [
-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[9, 2, 7, 2, 5], [And(1 < v
,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[9, 4, 4, 7, 1], [And(
1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1,
-1], [2, 2], [0, 0]]]], [[9, 12, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, And
(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/4, -1/4]
, [0, 0]]]], [[9, 14, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [2, 2], [0, 0]]]], [
[10, 2, 6, 4, 1], [v = 2^(1/2), u = -2, x = 0, y = 0, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [0, 0], [-1, -1]]]], [[10
, 2, 6, 4, 2], [v = 2^(1/2), u = -2, x = 0, y = 0, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [0, 0], [0, 0], [0, 0]]]], [[10, 2,
6, 4, 3], [v = 2^(1/2), u = -2, x = 0, y = 0, 0 < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [0, 0], [0, 0], [1, 1]]]], [[10, 4, 4, 2,
1], [v = 2^(1/2), u = -3^(1/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1,
-1], [-1, -1], [-3, -3]]]], [[10, 4, 4, 2, 2], [v = 2^(1/2), u = -3^(1/2), x =
-1, y = -1, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[10, 4, 4, 2, 3], [v = 2^(1/2), u = -3^(1/2), x = -1, y =
-1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [0, 0]]]],
[[10, 4, 4, 2, 4], [v = 2^(1/2), u = -3^(1/2), x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[10, 4, 4,
2, 5], [v = 2^(1/2), u = -3^(1/2), x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1, -1], [-1, -1], [3, 3]]]], [[10, 8, 7, 6, 1], [v = 2^(1/2), u =
-1, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 10, 4, 9, 1], [v = 2^
(1/2), u = 0, x = -1, 2 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[10, 16, 1, 3, 1], [v = 2^(1/2
), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[10, 16, 1, 3, 2], [v = 2^(1/2),
u = 3^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3],
[1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[10, 16, 1, 3, 3], [v = 2^
(1/2), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288
, 1816187/1048576], [-3, -3], [1/2, 1/2], [0, 0]]]], [[10, 16, 1, 3, 4], [v =
2^(1/2), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[10, 16,
1, 3, 5], [v = 2^(1/2), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[10, 17, 11, 2, 1], [v = 2
^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-3, -3]]]], [[10, 17,
11, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = -u^2-x+1, z = -(u^
2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-\
825991/524288, -3303963/2097152]]]], [[10, 17, 11, 2, 3], [v = 2^(1/2), And(3^
(1/2) < u,u < 2), 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-1/4194304, -1
/4194304]]]], [[10, 17, 11, 2, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x
, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [2, 2], [-1174943/262144, -\
4699771/1048576], [1651981/1048576, 825991/524288]]]], [[10, 17, 11, 2, 5], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [2, 2], [-1174943/262144, -4699771/1048576], [3, 3]]]], [[10, 18, 3,
7, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [5/2, 5/2]
, [0, 0]]]], [[10, 19, 11, 6, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, y = u^2-x-3,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [-1
, -1], [0, 0]]]], [[11, 6, 2, 2, 1], [2^(1/2) < v, u = -v, x = -1, y = 0, z <
-1], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[11, 6
, 2, 2, 2], [2^(1/2) < v, u = -v, x = -1, y = 0, z = -1], [regular_chain, [[3,
3], [-3, -3], [-1, -1], [0, 0], [-1, -1]]]], [[11, 6, 2, 2, 3], [2^(1/2) < v,
u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3],
[-1, -1], [0, 0], [0, 0]]]], [[11, 6, 2, 2, 4], [2^(1/2) < v, u = -v, x = -1,
y = 0, z = 1], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [0, 0], [1, 1]]]],
[[11, 6, 2, 2, 5], [2^(1/2) < v, u = -v, x = -1, y = 0, 1 < z], [regular_chain
, [[3, 3], [-3, -3], [-1, -1], [0, 0], [2, 2]]]], [[11, 8, 3, 1, 1], [2^(1/2)
< v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
-2, -2], [-3, -3]]]], [[11, 8, 3, 1, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And
(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-3/2, -3/2], [-2, -2], [-7846825/4194304
, -980853/524288]]]], [[11, 8, 3, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And
(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
-2, -2], [0, 0]]]], [[11, 8, 3, 1, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-\
2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821
/1048576, -11863283/4194304], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/
1048576]]]], [[11, 8, 3, 1, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576
, -11863283/4194304], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[11, 12, 1, 8, 1], [
2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [-4, -4], [5, 5], [0, 0]]]], [[11, 13, 9, 9
, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 <
x,x < 1), 0 < y, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [1581613/2097152, 1581613/2097152], [1, 1], [0, 0]]]], [[11, 19, 7, 8
, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^
2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [129511/524288, 129511/524288], [129511/524288, 259023/
1048576], [0, 0]]]], [[11, 21, 4, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
-1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[3, 3], [5, 5], [-1, -1],
[17/2, 17/2], [0, 0]]]], [[1, 4, 6, 2, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2),
x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [0, 0], [-2, -2], [-3, -3]]]], [[1, 4, 6, 2, 2], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[-3, -3], [
-3315889/1048576, -207243/65536], [0, 0], [-2, -2], [-1482911/1048576, -741455
/524288]]]], [[1, 4, 6, 2, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, y = -\
2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [0, 0], [-2, -2], [0, 0]]]], [[1, 4, 6, 2, 4], [v < -
2^(1/2), u = -(v^2+1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[-3
, -3], [-3315889/1048576, -207243/65536], [0, 0], [-2, -2], [741455/524288, 
1482911/1048576]]]], [[1, 4, 6, 2, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x =
0, y = -2, 2^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243
/65536], [0, 0], [-2, -2], [3, 3]]]], [[1, 6, 5, 5, 1], [v < -2^(1/2), u = v,
And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [-3, -\
3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[1, 11, 11, 3, 1], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-14,
-14], [-4, -4]]]], [[1, 11, 11, 3, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-14, -14], [-146543/65536, -\
2344687/1048576]]]], [[1, 11, 11, 3, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-14,
-14], [0, 0]]]], [[1, 11, 11, 3, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [0, 0], [9, 9], [-14, -14], [2344687/1048576, 
146543/65536]]]], [[1, 11, 11, 3, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-14, -14], [4, 4]]]], [[1, 13,
8, 6, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^
2-1, y = 0, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [133259/262144, 533037/1048576], [0, 0], [0, 0]]]], [[1, 17, 10, 9, 1], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1, 1], [1, 1], [0,
0]]]], [[1, 19, 10, 3, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-1178087/524288, -\
1178087/524288], [-3, -3]]]], [[1, 19, 10, 3, 2], [v < -2^(1/2), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1
/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [
-1178087/524288, -1178087/524288], [-1170947/1048576, -585473/524288]]]], [[1,
19, 10, 3, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1,
And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-\
1178087/524288, -1178087/524288], [0, 0]]]], [[1, 19, 10, 3, 4], [v < -2^(1/2)
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1, 1], [-1178087/524288, -1178087/524288], [585473/524288, 1170947/
1048576]]]], [[1, 19, 10, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-\
1178087/524288, -1178087/524288], [3, 3]]]], [[2, 3, 9, 6, 1], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = u^2-x-3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-271555/1048576, -135777/
524288], [0, 0]]]], [[2, 5, 8, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = 0, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [0, 0], [1, 1], [0, 0]]]], [[2, 5, 11, 7,
1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, And(-x < y,y < 0), z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-1, -1], [0, 0]]]], [[2, 8, 1, 6, 1], [v = -2^(1/2)
, u = -1, x < -2, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-3, -3], [3, 3], [-1, -1]]]], [[2, 8, 1, 6, 2], [v = -2^(1
/2), u = -1, x < -2, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-3, -3], [3, 3], [0, 0]]]], [[2, 8, 1, 6, 3], [v =
-2^(1/2), u = -1, x < -2, y = -x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-3, -3], [3, 3], [1, 1]]]], [[2, 13, 6, 7, 1], [v
= -2^(1/2), And(1 < u,u < -v), x = -u^2+1, u^2-1 < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
479311/1048576, -239655/524288], [2, 2], [0, 0]]]], [[2, 15, 7, 8, 1], [v = -2
^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/1048576, 275385/1048576]
, [-1, -1]]]], [[2, 15, 7, 8, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(
u^2-3 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576
], [275385/1048576, 275385/1048576], [0, 0]]]], [[2, 15, 7, 8, 3], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/1048576, 275385/1048576]
, [1, 1]]]], [[2, 19, 6, 4, 1], [v = -2^(1/2), 2 < u, x = 0, y = 0, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [0, 0], [-\
1, -1]]]], [[2, 19, 6, 4, 2], [v = -2^(1/2), 2 < u, x = 0, y = 0, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [0, 0], [0
, 0]]]], [[2, 19, 6, 4, 3], [v = -2^(1/2), 2 < u, x = 0, y = 0, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [0, 0], [1
, 1]]]], [[3, 2, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x <
-3, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [9/2, 9/2], [0, 0]]]
], [[3, 7, 8, 6, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
x = 0, y = 0, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [0, 0], [0, 0], [-1, -1]]]], [[3, 7, 8, 6
, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0,
z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [0, 0], [0, 0]]]], [[3, 7, 8, 6, 3], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [0, 0], [1, 1]]]], [[3, 9, 7, 9, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1
), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [2, 2], [0, 0]]]], [[3, 17
, 5, 9, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u
^2-v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [-1/2, -1/2], [9, 9], [0, 0]]]], [[4, 2, 1, 3, 1], [v = -1, u = -3^(1/
2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[4
, 2, 1, 3, 2], [v = -1, u = -3^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4,
-4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[4, 2, 1, 3, 3], [v =
-1, u = -3^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
4, -4], [1/2, 1/2], [0, 0]]]], [[4, 2, 1, 3, 4], [v = -1, u = -3^(1/2), x < -3
, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187
/1048576, -3632373/2097152], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/
1048576]]]], [[4, 2, 1, 3, 5], [v = -1, u = -3^(1/2), x < -3, And(0 < y,y < -x
-3), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373
/2097152], [-4, -4], [1/2, 1/2], [3, 3]]]], [[4, 7, 7, 9, 1], [v = -1, And(-1
< u,u < 0), And(-u^2 < x,x < 0), -x < y, z = z], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [-1/8, -1/8], [2, 2], [0, 0]]]], [[4, 9, 7, 3, 1], [v = -1, And(0
< u,u < 1), And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-7/8, -7/8], [-2, -2
]]]], [[4, 9, 7, 3, 2], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^
2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/
2], [-1/8, -1/8], [-7/8, -7/8], [-1, -1]]]], [[4, 9, 7, 3, 3], [v = -1, And(0
< u,u < 1), And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8],
[-7/8, -7/8], [0, 0]]]], [[4, 9, 7, 3, 4], [v = -1, And(0 < u,u < 1), And(-u^2
< x,x < 0), And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[
-1, -1], [1/2, 1/2], [-1/8, -1/8], [-7/8, -7/8], [1, 1]]]], [[4, 9, 7, 3, 5],
[v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), (
-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-7/8,
-7/8], [2, 2]]]], [[4, 13, 9, 8, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 
And(u^2-2 < x,x < 1), y = 0, z = z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [0, 0], [0, 0]]]]
, [[4, 15, 7, 2, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, z < -
u], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [-4, -4]]]]
, [[4, 15, 7, 2, 2], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, z = -
u], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [-3, -3]]]]
, [[4, 15, 7, 2, 3], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, And(-
u < z,z < u)], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-19/2, -19/2],
[0, 0]]]], [[4, 15, 7, 2, 4], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2
-x, z = u], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [3,
3]]]], [[4, 15, 7, 2, 5], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x,
u < z], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [4, 4]]
]], [[5, 5, 8, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0
, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[5, 5, 8, 1, 2], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y < -u^2+v^2-1, z = -
(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[5, 5, 8
, 1, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y < -u^2+v^
2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304]
]]], [[5, 5, 8, 1, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x =
0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]
]]], [[5, 5, 8, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x =
0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [-3, -3], [3, 3]]]], [[5, 7, 9, 2, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-7/4,
-7/4], [-3, -3]]]], [[5, 7, 9, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [1/2, 1/2], [-7/4, -7/4], [-146543/131072, -1172343/
1048576]]]], [[5, 7, 9, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 <
x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))
], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-7/4, -7/4], [0, 0]]]],
[[5, 7, 9, 2, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y =
u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
1/2, 1/2], [-7/4, -7/4], [1172343/1048576, 146543/131072]]]], [[5, 7, 9, 2, 5]
, [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-
u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-7/
4, -7/4], [3, 3]]]], [[5, 8, 1, 2, 1], [And(-1 < v,v < 0), u = -v, x < -1, y =
0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [0,
0], [-3, -3]]]], [[5, 8, 1, 2, 2], [And(-1 < v,v < 0), u = -v, x < -1, y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [0, 0],
[-1482911/1048576, -741455/524288]]]], [[5, 8, 1, 2, 3], [And(-1 < v,v < 0), u
= -v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [1/2, 1/2], [-2, -2], [0, 0], [0, 0]]]], [[5, 8, 1, 2, 4], [And(-1
< v,v < 0), u = -v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1/2, 1/2], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[5, 8
, 1, 2, 5], [And(-1 < v,v < 0), u = -v, x < -1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [0, 0], [3, 3]]]], [[5, 10
, 2, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z
< -(2-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-2, -2], [1, 1], [-2, -2]]]], [[5, 10, 2, 3, 2], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [1, 1], [-1, -1]]
]], [[5, 10, 2, 3, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, And(0 <
y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1/2, -1/2
], [1172343/1048576, 146543/131072], [-2, -2], [1, 1], [0, 0]]]], [[5, 10, 2,
3, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = (2
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [
-2, -2], [1, 1], [1, 1]]]], [[5, 10, 2, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)
^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [1172343/1048576, 146543/131072], [-2, -2], [1, 1], [2, 2]]]], [[6, 2, 3,
2, 1], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [-1, -1]
, [-3, -3]]]], [[6, 2, 3, 2, 2], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y =
-x-3, z = -3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[6, 2,
3, 2, 3], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z
,z < 3^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [
-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[6, 2, 3, 2, 4], [v = 0, u =
-2^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[6, 2, 3, 2, 5], [v = 0, u = -2^(1/2), And(-3 < x,x < -1
), y = -x-3, 3^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455
/524288], [-2, -2], [-1, -1], [3, 3]]]], [[6, 3, 11, 5, 1], [v = 0, And(-2^(1/
2) < u,u < -1), 1 < x, And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0
], [-1265743/1048576, -1265743/1048576], [2, 2], [-7429987/4194304, -7429987/
4194304], [0, 0]]]], [[6, 8, 3, 5, 1], [v = 0, u = 1, And(-2 < x,x < -1), And(
0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/
2], [3/4, 3/4], [-2, -2]]]], [[6, 8, 3, 5, 2], [v = 0, u = 1, And(-2 < x,x < -\
1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-\
3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[6, 8, 3, 5,
3], [v = 0, u = 1, And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [3/4, 3/4
], [-1/8388608, -1/8388608]]]], [[6, 8, 3, 5, 4], [v = 0, u = 1, And(-2 < x,x
< -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1],
[-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[6, 8, 3, 5, 5]
, [v = 0, u = 1, And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[6, 10,
2, 2, 1], [v = 0, u = 2^(1/2), x = -3, y = 0, z < -3^(1/2)], [regular_chain, [
[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[6,
10, 2, 2, 2], [v = 0, u = 2^(1/2), x = -3, y = 0, z = -3^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-\
1816187/1048576, -3632373/2097152]]]], [[6, 10, 2, 2, 3], [v = 0, u = 2^(1/2),
x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]]
, [[6, 10, 2, 2, 4], [v = 0, u = 2^(1/2), x = -3, y = 0, z = 3^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[6, 10, 2, 2, 5], [v = 0, u = 2^(1/2), x
= -3, y = 0, 3^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-3, -3], [0, 0], [3, 3]]]], [[7, 4, 1, 3, 1], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1/2
, 1/2], [-3, -3]]]], [[7, 4, 1, 3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [-3, -3], [1/2, 1/2], [-3315889/2097152, -\
207243/131072]]]], [[7, 4, 1, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x
< -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1/2
, 1/2], [0, 0]]]], [[7, 4, 1, 3, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x
< -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3, -3], [1/2, 1/2], [207243/131072, 
1657945/1048576]]]], [[7, 4, 1, 3, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
-146543/131072, -1172343/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[7, 5, 11
, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -x, z <
0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2],
[-2, -2], [-1, -1]]]], [[7, 5, 11, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2
) < u,u < -v), 1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-2, -2], [0, 0]]]], [[7, 5, 11, 6, 3], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-2,
-2], [1, 1]]]], [[7, 13, 11, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-
v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9
], [-5/4, -5/4], [0, 0]]]], [[8, 2, 6, 3, 1], [v = 1, u = -3^(1/2), x = 0, And
(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576,
-3632373/2097152], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[8, 2, 6, 3, 2], [v = 1
, u = -3^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[
1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[8, 2, 6, 3, 3], [v = 1, u = -3^(1/2), x = 0, 
And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3/2, -3/2], [0, 0]]]], [[8
, 2, 6, 3, 4], [v = 1, u = -3^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)]
, [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3/2
, -3/2], [642119/524288, 1284239/1048576]]]], [[8, 2, 6, 3, 5], [v = 1, u = -3
^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [0, 0], [-3/2, -3/2], [3, 3]]]], [[8, 8, 3
, 3, 1], [v = 1, u = 0, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]
], [[8, 8, 3, 3, 2], [v = 1, u = 0, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-1/4, -1/4],
[-10837/8192, -1387135/1048576]]]], [[8, 8, 3, 3, 3], [v = 1, u = 0, And(-2 <
x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[8, 8,
3, 3, 4], [v = 1, u = 0, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(
1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-1/4, -1/4], [1387135/
1048576, 10837/8192]]]], [[8, 8, 3, 3, 5], [v = 1, u = 0, And(-2 < x,x < -1),
And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3/2
, -3/2], [-1/4, -1/4], [3, 3]]]], [[8, 10, 1, 5, 1], [v = 1, u = 1, x < -1, 
And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2
, -2], [3/2, 3/2], [-2, -2]]]], [[8, 10, 1, 5, 2], [v = 1, u = 1, x < -1, And(
-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2, -2
], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[8, 10, 1, 5, 3], [v =
1, u = 1, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [3/2, 3/2], [0, 0]]]], [[8, 10,
1, 5, 4], [v = 1, u = 1, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/
65536]]]], [[8, 10, 1, 5, 5], [v = 1, u = 1, x < -1, And(-1-x < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [3/2, 3/2], [2, 2]]
]], [[8, 14, 4, 3, 1], [v = 1, u = 3^(1/2), x = -1, And(-2 < y,y < 0), z < -(1
-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1
], [-1, -1], [-3, -3]]]], [[8, 14, 4, 3, 2], [v = 1, u = 3^(1/2), x = -1, And(
-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [
[8, 14, 4, 3, 3], [v = 1, u = 3^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(
1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1, -1], [-1, -1], [0, 0]]]], [[8, 14, 4, 3, 4], [v = 1, u = 3^(1/2
), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[8, 14, 4, 3, 5], [v = 1, u = 3^(1/2), x = -1, And(-2 < y,y < 0)
, (1-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576],
[-1, -1], [-1, -1], [3, 3]]]], [[9, 1, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u <
-(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [0, 0], [-5, -5]]]],
[[9, 1, 1, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1,
y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [-10, -10], [0, 0], [-3315889/1048576, -207243/65536]]]], [[9, 1, 1,
2, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, And
(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10, -10], [0, 0], [0, 0]]]], [[9, 1, 1, 2, 4], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [0,
0], [207243/65536, 3315889/1048576]]]], [[9, 1, 1, 2, 5], [And(1 < v,v < 2^(1/
2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [0,
0], [5, 5]]]], [[9, 6, 3, 4, 1], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x
< 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [-2, -2]
]]], [[9, 6, 3, 4, 2], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y =
0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[9, 6, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [0, 0], [0, 0]]]], [[9, 6, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = -v,
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0],
[741455/1048576, 46341/65536]]]], [[9, 6, 3, 4, 5], [And(1 < v,v < 2^(1/2)), u
= -v, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2],
[0, 0], [2, 2]]]], [[9, 8, 4, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/
2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-2, -2], [-3,
-3]]]], [[9, 8, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1,
y < -1, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 8, 4, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1,
-1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 8, 4, 1, 4], [And(1 < v,v < 2
^(1/2)), u = -(v^2-1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1,
-1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[9, 8, 4, 1, 5], [And(1 <
v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-1, -1], [-2, -2], [3, 3]]]], [[9, 8, 8, 4, 1], [And(1 < v,v < 2^(1
/2)), u = -(v^2-1)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-1, -1
], [-1, -1]]]], [[9, 8, 8, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [-1, -1], [0, 0]]]], [[9, 8, 8, 4, 3
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y = -1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [-1, -1], [1, 1]]]], [[9, 10, 7, 1, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[9, 10, 7, 1, 2], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[9, 10
, 7, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y <
-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-4, -\
4], [0, 0]]]], [[9, 10, 7, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2),
And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-4, -\
4], [980853/524288, 1961707/1048576]]]], [[9, 10, 7, 1, 5], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[9, 16, 3, 8, 1], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 1-x, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [3, 3], [0, 0]]]], [[9, 17, 11, 7, 1], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-763943/
1048576, -763943/1048576], [0, 0]]]], [[10, 4, 8, 5, 1], [v = 2^(1/2), u = -3^
(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [-1/2, -1/2],
[0, 0]]]], [[10, 6, 7, 2, 1], [v = 2^(1/2), u = -v, 1 < x, y = -1-x, z < -1],
[regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [-3, -3], [-2, -2]]]], [[10, 6, 7, 2, 2], [v = 2^(1/2), u = -
v, 1 < x, y = -1-x, z = -1], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-1, -1]]]], [[10, 6,
7, 2, 3], [v = 2^(1/2), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [-3, -3], [0, 0]]]], [[10, 6, 7, 2, 4], [v = 2^(1/2), u = -v,
1 < x, y = -1-x, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [1, 1]]]], [[10, 6, 7, 2,
5], [v = 2^(1/2), u = -v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3]
, [2, 2]]]], [[10, 12, 2, 2, 1], [v = 2^(1/2), u = 1, x = -2, y = 0, z < -2^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [0,
0], [-3, -3]]]], [[10, 12, 2, 2, 2], [v = 2^(1/2), u = 1, x = -2, y = 0, z = -
2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -2],
[0, 0], [-1482911/1048576, -741455/524288]]]], [[10, 12, 2, 2, 3], [v = 2^(1/2
), u = 1, x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [0, 0], [0, 0]]]], [[10, 12
, 2, 2, 4], [v = 2^(1/2), u = 1, x = -2, y = 0, z = 2^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [0, 0], [741455/524288, 
1482911/1048576]]]], [[10, 12, 2, 2, 5], [v = 2^(1/2), u = 1, x = -2, y = 0, 2
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-2, -\
2], [0, 0], [3, 3]]]], [[10, 13, 11, 8, 1], [v = 2^(1/2), And(1 < u,u < v), 1
< x, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[11, 2, 6, 3, 1
], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [-3/2
, -3/2], [-3, -3]]]], [[11, 2, 6, 3, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x =
0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/
524288]]]], [[11, 2, 6, 3, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, And(-3
< y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [0, 0], [-3/2, -3/2], [0, 0]]]], [[11, 2, 6
, 3, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^
(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0],
[-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[11, 2, 6, 3, 5], [2^(1/2)
< v, u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [-3/2, -3
/2], [3, 3]]]], [[11, 4, 4, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y
< -1, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-1, -1], [-2, -2], [-3, -3]]]], [[11, 4, 4, 1, 2], [2^(1/2) < v, u =
-(v^2+1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 4, 4, 1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
-1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [
-3315889/1048576, -207243/65536], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]
]]], [[11, 4, 4, 1, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y < -1, z =
(1-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1,
-1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[11, 4, 4, 1, 5], [2^(1/2
) < v, u = -(v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [
[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [-2, -2], [3, 3]]]], [[11
, 10, 1, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[11, 10, 1, 3, 2], [2^(1/2) < v,
u = -(v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1/2,
1/2], [-7846825/4194304, -980853/524288]]]], [[11, 10, 1, 3, 3], [2^(1/2) < v,
u = -(v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-\
4, -4], [1/2, 1/2], [0, 0]]]], [[11, 10, 1, 3, 4], [2^(1/2) < v, u = -(v^2-2)^
(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[3, 3]
, [-5548543/2097152, -2774271/1048576], [-4, -4], [1/2, 1/2], [980853/524288,
1961707/1048576]]]], [[11, 10, 1, 3, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x <
-3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543
/2097152, -2774271/1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[11, 11, 9, 2,
1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^
2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [9/2, 9/2], [-29/2, -29/2], [-5, -5]]]], [[11, 11, 9, 2, 2], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y =
u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2,
9/2], [-29/2, -29/2], [-3315889/1048576, -207243/65536]]]], [[11, 11, 9, 2, 3]
, [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+
v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-29/2, -29/2], [0, 0]]]], [[11,
11, 9, 2, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 <
x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [
[3, 3], [0, 0], [9/2, 9/2], [-29/2, -29/2], [207243/65536, 3315889/1048576]]]]
, [[11, 11, 9, 2, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
And(1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-29/2, -29/2], [5, 5]]]], [[11, 
15, 8, 6, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y = 0, z < 0]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [0, 0],
[-1, -1]]]], [[11, 15, 8, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= 0, y = 0, z = 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152
], [0, 0], [0, 0], [0, 0]]]], [[11, 15, 8, 6, 3], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [0, 0], [0, 0], [1, 1]]]], [[11, 17, 9, 3, 1], [2^(
1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [1/2, 1/2], [-201326609/134217728, -201326609/134217728], [-\
3, -3]]]], [[11, 17, 9, 3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And
(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
201326609/134217728, -201326609/134217728], [-1048577/1048576, -1]]]], [[11, 
17, 9, 3, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
201326609/134217728, -201326609/134217728], [0, 0]]]], [[11, 17, 9, 3, 4], [2^
(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [1/2, 1/2], [-201326609/134217728, -201326609/134217728], [1
, 1048577/1048576]]]], [[11, 17, 9, 3, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)
^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
201326609/134217728, -201326609/134217728], [3, 3]]]], [[1, 1, 2, 6, 1], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [
regular_chain, [[-3, -3], [-5, -5], [-17, -17], [32, 32], [0, 0]]]], [[1, 2, 8
, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1, 1], [-1/2,
-1/2], [0, 0]]]], [[1, 8, 5, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1
< x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]],
[[1, 8, 5, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[1, 8, 5, 5, 3
], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821
/1048576, -11863283/4194304], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 8, 5,
5, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1, 8, 5, 5, 5], [v < -2^(
1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1/2, -\
1/2], [1/4, 1/4], [2, 2]]]], [[1, 10, 3, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1
/2), And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [1, 1], [-2, -2]]
]], [[1, 10, 3, 5, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[1, 10, 3, 5, 3],
[v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [1, 1], [0, 0]]]], [[1, 10, 3, 5, 4], [v
< -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [
-2, -2], [1, 1], [1, 1]]]], [[1, 10, 3, 5, 5], [v < -2^(1/2), u = -(v^2-2)^(1/
2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [1, 1], [2, 2]]]],
[[1, 13, 11, 9, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1
< x, 0 < y, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [2, 2], [1, 1], [0, 0]]]], [[1, 15, 10, 8, 1], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1, 1], [0, 0], [0, 0]]]], [[1, 21, 6, 7, 1], [v <
-2^(1/2), (v^2+2)^(1/2) < u, x = 0, u^2-v^2-1 < y, z = z], [regular_chain, [[-\
3, -3], [5, 5], [0, 0], [16, 16], [0, 0]]]], [[2, 2, 1, 6, 1], [v = -2^(1/2),
u = -2, x < -3, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-4, -4], [4, 4], [-1, -1]]]], [[2, 2, 1, 6, 2], [v = -2^(1
/2), u = -2, x < -3, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [4, 4], [0, 0]]]], [[2, 2, 1, 6, 3], [v =
-2^(1/2), u = -2, x < -3, y = -x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [-4, -4], [4, 4], [1, 1]]]], [[2, 9, 11, 4, 1], [v
= -2^(1/2), And(-1 < u,u < 0), 1 < x, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-2, -2], [-1, -1]]]],
[[2, 9, 11, 4, 2], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-2,
-2], [0, 0]]]], [[2, 9, 11, 4, 3], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, y
= -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2
], [2, 2], [-2, -2], [1, 1]]]], [[2, 11, 8, 3, 1], [v = -2^(1/2), And(0 < u,u
< 1), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-\
17/8, -17/8], [-3, -3]]]], [[2, 11, 8, 3, 2], [v = -2^(1/2), And(0 < u,u < 1),
x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-17/8, -17/8], [
-1229565/1048576, -307391/262144]]]], [[2, 11, 8, 3, 3], [v = -2^(1/2), And(0
< u,u < 1), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z
< (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2
, 1/2], [3/4, 3/4], [-17/8, -17/8], [0, 0]]]], [[2, 11, 8, 3, 4], [v = -2^(1/2
), And(0 < u,u < 1), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = (u^2-y-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/
4], [-17/8, -17/8], [307391/262144, 1229565/1048576]]]], [[2, 11, 8, 3, 5], [v
= -2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), (u^2-y-1
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[3/4, 3/4], [-17/8, -17/8], [3, 3]]]], [[2, 17, 6, 2, 1], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0],
[-650655/262144, -2602619/1048576], [-3, -3]]]], [[2, 17, 6, 2, 2], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [0, 0], [-650655/262144, -2602619/1048576], [-825991/524288, -\
3303963/2097152]]]], [[2, 17, 6, 2, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0
], [-650655/262144, -2602619/1048576], [-1/4194304, -1/4194304]]]], [[2, 17, 6
, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y = -u^2+1, z = (u^2-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152
, 3913339/2097152], [0, 0], [-650655/262144, -2602619/1048576], [1651981/
1048576, 825991/524288]]]], [[2, 17, 6, 2, 5], [v = -2^(1/2), And(3^(1/2) < u,
u < 2), x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0], [-650655
/262144, -2602619/1048576], [3, 3]]]], [[2, 19, 3, 3, 1], [v = -2^(1/2), 2 < u
, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-7/
4, -7/4], [-4, -4]]]], [[2, 19, 3, 3, 2], [v = -2^(1/2), 2 < u, And(-u^2+1 < x
,x < -1), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-7/4, -7/4], [-5/2, -\
5/2]]]], [[2, 19, 3, 3, 3], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(
-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-7/4, -7/4], [0, 0
]]]], [[2, 19, 3, 3, 4], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(-u^
2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9/2, -9/2], [-7/4, -7/4], [5/2, 5/2]]]], [[2, 19, 3,
3, 5], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0),
(-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3]
, [-9/2, -9/2], [-7/4, -7/4], [4, 4]]]], [[3, 3, 9, 7, 1], [And(-2^(1/2) < v,v
< -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 
775271/1048576], [-273305/2097152, -273305/2097152], [0, 0]]]], [[3, 5, 8, 4,
1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v
^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-1116679/2097152, -\
558339/1048576], [-2, -2]]]], [[3, 5, 8, 4, 2], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1116679/2097152, -558339/1048576], [-1530309/
2097152, -382577/524288]]]], [[3, 5, 8, 4, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [0, 0], [-1116679/2097152, -558339/
1048576], [0, 0]]]], [[3, 5, 8, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1116679/2097152, -558339/1048576], [382577/524288,
765155/1048576]]]], [[3, 5, 8, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1116679/2097152, -558339/1048576], [2, 2]]]], [[3,
11, 6, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u
^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-1196409/2097152, -1196409/
2097152], [-2, -2]]]], [[3, 11, 6, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^
2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-1196409/2097152
, -1196409/2097152], [-274877880697/274877906944, -8796092182303/8796093022208
]]]], [[3, 11, 6, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), And(-(u^2-v^2-y+1)^(1/2) < z,
z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[-1196409/2097152, -1196409/2097152], [-7548703/17592186044416, -7548703/
17592186044416]]]], [[3, 11, 6, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = (u^2-v^2-y+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-1196409/2097152
, -1196409/2097152], [1048575/1048576, 1]]]], [[3, 11, 6, 3, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 <
y,y < 0), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [-1196409/2097152, -1196409/2097152], [2, 2]]]], [[3, 13, 6, 7, 1],
[And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, -u^2+
v^2+1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [2, 2],
[0, 0]]]], [[3, 13, 10, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+
1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-663873/524288, -663873/524288], [-2, -2]]]], [[3,
13, 10, 5, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1
, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-\
663873/524288, -663873/524288], [-1082093/2097152, -270523/524288]]]], [[3, 13
, 10, 5, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1,
And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-663873/524288, -663873/524288], [0, 0]]]], [[3, 13
, 10, 5, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1,
And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-\
663873/524288, -663873/524288], [270523/524288, 541047/1048576]]]], [[3, 13, 
10, 5, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, 
And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-\
663873/524288, -663873/524288], [2, 2]]]], [[3, 15, 9, 4, 1], [And(-2^(1/2) <
v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327
/524288, 898327/524288], [775271/1048576, 775271/1048576], [-775271/1048576, -\
775271/1048576], [-1, -1]]]], [[3, 15, 9, 4, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [775271/1048576, 775271/1048576], [-775271/1048576, -775271/
1048576], [0, 0]]]], [[3, 15, 9, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [-775271/1048576, -775271/1048576],
[1, 1]]]], [[4, 3, 9, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-\
2 < x,x < 1), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-6598195/4194304
, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-1684075/524288, -\
3368149/1048576], [-3, -3]]]], [[4, 3, 9, 2, 2], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[-1, -1]
, [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-\
1684075/524288, -3368149/1048576], [-1649549/1048576, -3299097/2097152]]]], [[
4, 3, 9, 2, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1),
y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-6598195/4194304,
-6598195/4194304], [1546383/2097152, 1546383/2097152], [-1684075/524288, -\
3368149/1048576], [-1/4194304, -1/4194304]]]], [[4, 3, 9, 2, 4], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1546383/
2097152, 1546383/2097152], [-1684075/524288, -3368149/1048576], [412387/262144
, 1649549/1048576]]]], [[4, 3, 9, 2, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), And(u^2-2 < x,x < 1), y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-\
1684075/524288, -3368149/1048576], [3, 3]]]], [[4, 5, 7, 8, 1], [v = -1, And(-
2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -x, z < 0], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/
2097152], [35579/131072, 284633/1048576], [-1, -1]]]], [[4, 5, 7, 8, 2], [v =
-1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/131072, 284633/1048576], [0, 0]]]], [[4, 5,
7, 8, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -x, 0 <
z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/131072, 284633/1048576], [1, 1]]]], [[4, 9,
10, 6, 1], [v = -1, And(0 < u,u < 1), x = 1, y = -1, z < 0], [regular_chain, [
[-1, -1], [1/2, 1/2], [1, 1], [-1, -1], [-1, -1]]]], [[4, 9, 10, 6, 2], [v = -\
1, And(0 < u,u < 1), x = 1, y = -1, z = 0], [regular_chain, [[-1, -1], [1/2, 1
/2], [1, 1], [-1, -1], [0, 0]]]], [[4, 9, 10, 6, 3], [v = -1, And(0 < u,u < 1)
, x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [-1, -\
1], [1, 1]]]], [[4, 11, 11, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y <
-u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[4, 11, 11, 1, 2], [v = -1,
And(1 < u,u < 2^(1/2)), 1 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[4, 11, 11, 1, 3], [v = -1, And(1 < u,u < 2^(1
/2)), 1 < x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-5, -5]
, [-1/4194304, -1/4194304]]]], [[4, 11, 11, 1, 4], [v = -1, And(1 < u,u < 2^(1
/2)), 1 < x, y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[4, 11, 11, 1, 5], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y < -
u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743
/1048576], [2, 2], [-5, -5], [3, 3]]]], [[5, 2, 1, 6, 1], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), x < -3, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-4, -4], [4, 4], [-1, -1]]]], [[5, 2, 1, 6, 2], [And(-1 < v,v < 0)
, u = -(v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [
-3/2, -3/2], [-4, -4], [4, 4], [0, 0]]]], [[5, 2, 1, 6, 3], [And(-1 < v,v < 0)
, u = -(v^2+2)^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [
-3/2, -3/2], [-4, -4], [4, 4], [1, 1]]]], [[5, 3, 9, 7, 1], [And(-1 < v,v < 0)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^
2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [1534619/2097152, 1534619/2097152], [-281267/2097152, -281267
/2097152], [0, 0]]]], [[5, 11, 11, 6, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[-1
/2, -1/2], [343151/262144, 343151/262144], [2, 2], [-805555/524288, -3222219/
2097152], [0, 0]]]], [[5, 13, 8, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1
], [-1/2, -1/2], [0, 0]]]], [[6, 5, 10, 3, 1], [v = 0, And(-1 < u,u < 0), x =
1, And(-u^2-2 < y,y < u^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1
/2, -1/2], [1, 1], [-2, -2], [-2, -2]]]], [[6, 5, 10, 3, 2], [v = 0, And(-1 <
u,u < 0), x = 1, And(-u^2-2 < y,y < u^2-2), z = -(-y-1)^(1/2)], [regular_chain
, [[0, 0], [-1/2, -1/2], [1, 1], [-2, -2], [-1, -1]]]], [[6, 5, 10, 3, 3], [v
= 0, And(-1 < u,u < 0), x = 1, And(-u^2-2 < y,y < u^2-2), And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-2, -2],
[0, 0]]]], [[6, 5, 10, 3, 4], [v = 0, And(-1 < u,u < 0), x = 1, And(-u^2-2 < y
,y < u^2-2), z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1],
[-2, -2], [1, 1]]]], [[6, 5, 10, 3, 5], [v = 0, And(-1 < u,u < 0), x = 1, And(
-u^2-2 < y,y < u^2-2), (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2
], [1, 1], [-2, -2], [2, 2]]]], [[6, 7, 10, 7, 1], [v = 0, And(0 < u,u < 1), x
= 1, And(-1 < y,y < 0), z = z], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [
-1/2, -1/2], [0, 0]]]], [[6, 11, 9, 7, 1], [v = 0, 2^(1/2) < u, And(1 < x,x <
u^2-1), And(0 < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0], [3, 3], [9/2,
9/2], [7/4, 7/4], [0, 0]]]], [[7, 2, 4, 6, 1], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1,
-1], [1, 1], [-1, -1]]]], [[7, 2, 4, 6, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1
/2), x = -1, y = 1, z = 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1
], [1, 1], [0, 0]]]], [[7, 2, 4, 6, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
x = -1, y = 1, 0 < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1, -1], [1
, 1], [1, 1]]]], [[7, 7, 11, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 <
x, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [1, 1], [0, 0]]
]], [[7, 10, 1, 4, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y = -x-2,
z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072],
[-3, -3], [1, 1], [-3, -3]]]], [[7, 10, 1, 4, 2], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3, -3], [1, 1], [-1482911/1048576, -741455/
524288]]]], [[7, 10, 1, 4, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y
= -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-3, -3], [1, 1], [0, 0]]]], [[7, 10, 1, 4, 4], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [1, 1]
, [741455/524288, 1482911/1048576]]]], [[7, 10, 1, 4, 5], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-3, -3], [1, 1], [3, 3]]]], [[7, 10, 5, 6,
1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [1
/2, 1/2], [-1, -1]]]], [[7, 10, 5, 6, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[7, 10, 5, 6, 3
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [1
/2, 1/2], [1, 1]]]], [[7, 12, 4, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-\
1, -1], [-3, -3], [-3, -3]]]], [[7, 12, 4, 1, 2], [And(0 < v,v < 1), u = (v^2+
2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2
, 3/2], [-1, -1], [-3, -3], [-2, -2]]]], [[7, 12, 4, 1, 3], [And(0 < v,v < 1),
u = (v^2+2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-3, -3], [0, 0]]]], [[7, 12
, 4, 1, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1
/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-3, -3], [2, 2]]]],
[[7, 12, 4, 1, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, y < -2, (1-y)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-3, -3], [3,
3]]]], [[8, 4, 3, 6, 1], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y = -x, z <
0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2],
[3/2, 3/2], [-1, -1]]]], [[8, 4, 3, 6, 2], [v = 1, u = -2^(1/2), And(-2 < x,x
< -1), y = -x, z = 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[8, 4, 3, 6, 3], [v = 1, u = -2
^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1, 1], [-1482911
/1048576, -741455/524288], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[8, 6, 2, 5,
1], [v = 1, u = -1, x = -1, 1 < y, z = z], [regular_chain, [[1, 1], [-1, -1],
[-1, -1], [2, 2], [0, 0]]]], [[8, 10, 6, 2, 1], [v = 1, u = 1, x = 1, y = -2,
z < -1], [regular_chain, [[1, 1], [1, 1], [1, 1], [-2, -2], [-2, -2]]]], [[8,
10, 6, 2, 2], [v = 1, u = 1, x = 1, y = -2, z = -1], [regular_chain, [[1, 1],
[1, 1], [1, 1], [-2, -2], [-1, -1]]]], [[8, 10, 6, 2, 3], [v = 1, u = 1, x = 1
, y = -2, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1, 1], [1, 1], [-2, -2
], [0, 0]]]], [[8, 10, 6, 2, 4], [v = 1, u = 1, x = 1, y = -2, z = 1], [
regular_chain, [[1, 1], [1, 1], [1, 1], [-2, -2], [1, 1]]]], [[8, 10, 6, 2, 5]
, [v = 1, u = 1, x = 1, y = -2, 1 < z], [regular_chain, [[1, 1], [1, 1], [1, 1
], [-2, -2], [2, 2]]]], [[8, 12, 7, 3, 1], [v = 1, u = 2^(1/2), And(0 < x,x <
1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455
/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[8, 12, 7,
3, 2], [v = 1, u = 2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2
], [-3/2, -3/2], [-1, -1]]]], [[8, 12, 7, 3, 3], [v = 1, u = 2^(1/2), And(0 <
x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -\
3/2], [0, 0]]]], [[8, 12, 7, 3, 4], [v = 1, u = 2^(1/2), And(0 < x,x < 1), And
(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288,
1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[8, 12, 7, 3, 5], [v =
1, u = 2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -\
3/2], [2, 2]]]], [[9, 2, 6, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2)
, x = 0, y = 1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3899297/2097152, -7798593/4194304], [0, 0], [1, 1], [0, 0]]]], [[9, 4, 5, 1,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2,
z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[9, 4,
5, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y <
-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[9, 4, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1
/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[9, 4, 5, 1, 4], [And(1 < v,v <
2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319
/2097152], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[9, 4
, 5, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y
< -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[9,
12, 5, 4, 1], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y = -x, z < 0]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 12, 5, 4, 2], [
And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 12, 5, 4, 3], [And(1 < v,v
< 2^(1/2)), u = v, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
1/2, -1/2], [1, 1]]]], [[9, 14, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)
^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-1, -1],
[-2, -2]]]], [[9, 14, 6, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x
= 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-1, -1], [-1, -1]
]]], [[9, 14, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 0, And
(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [
-1, -1], [0, 0]]]], [[9, 14, 6, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1
/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-1, -1],
[1, 1]]]], [[9, 14, 6, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x =
0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-1, -1], [2, 2]]]
], [[10, 2, 6, 1, 1], [v = 2^(1/2), u = -2, x = 0, y < -3, z < -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-4, -4],
[-3, -3]]]], [[10, 2, 6, 1, 2], [v = 2^(1/2), u = -2, x = 0, y < -3, z = -(-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0],
[-4, -4], [-2, -2]]]], [[10, 2, 6, 1, 3], [v = 2^(1/2), u = -2, x = 0, y < -3,
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-2, -2], [0, 0], [-4, -4], [0, 0]]]], [[10, 2, 6, 1, 4], [v = 2^(1
/2), u = -2, x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [0, 0], [-4, -4], [2, 2]]]], [[10, 2, 6, 1, 5], [v
= 2^(1/2), u = -2, x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [0, 0], [-4, -4], [3, 3]]]], [[10, 4, 4, 3
, 1], [v = 2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[10, 4, 4, 3, 2], [v =
2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[10,
4, 4, 3, 3], [v = 2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[
10, 4, 4, 3, 4], [v = 2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), z = (1
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/
1048576]]]], [[10, 4, 4, 3, 5], [v = 2^(1/2), u = -3^(1/2), x = -1, And(-1 < y
,y < 0), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[10,
8, 7, 5, 1], [v = 2^(1/2), u = -1, And(0 < x,x < 1), And(-x < y,y < 0), z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-1
/4, -1/4], [0, 0]]]], [[10, 10, 5, 3, 1], [v = 2^(1/2), u = 0, And(-1 < x,x <
0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [0, 0], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[10, 10, 5
, 3, 2], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2,
-1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[10, 10, 5, 3, 3], [
v = 2^(1/2), u = 0, And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[10, 10, 5, 3, 4], [v = 2^(1/2), u
= 0, And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [-5/4, -5/4], [
1387135/1048576, 10837/8192]]]], [[10, 10, 5, 3, 5], [v = 2^(1/2), u = 0, And(
-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]]
, [[10, 15, 11, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, 0 < y, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [2, 2], [1, 1], [0, 0]]]], [[10, 17, 11, 3, 1], [v = 2^(1/2)
, And(3^(1/2) < u,u < 2), 1 < x, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [-3, -3]]]], [[10, 17,
11, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(-u^2-x+1 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [2, 2], [-6796923/2097152, -6796923/2097152
], [-4563/4096, -1168127/1048576]]]], [[10, 17, 11, 3, 3], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), 1 < x, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [0, 0
]]]], [[10, 17, 11, 3, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(-u
^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [-6796923/
2097152, -6796923/2097152], [1168127/1048576, 4563/4096]]]], [[10, 17, 11, 3,
5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(-u^2-x+1 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [3, 3
]]]], [[10, 18, 3, 4, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = 0, z <
-(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2,
-2], [0, 0], [-3, -3]]]], [[10, 18, 3, 4, 2], [v = 2^(1/2), u = 2, And(-3 < x,
x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[
10, 18, 3, 4, 3], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
2, 2], [-2, -2], [0, 0], [0, 0]]]], [[10, 18, 3, 4, 4], [v = 2^(1/2), u = 2, 
And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]
], [[10, 18, 3, 4, 5], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), y = 0, (-x)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2],
[0, 0], [3, 3]]]], [[10, 19, 11, 7, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, And(u^
2-x-3 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [7, 7], [-1/2, -1/2], [0, 0]]]], [[11, 6, 2, 1, 1], [2^(1/2) < v, u = -
v, x = -1, y < 0, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1, -\
1], [-1, -1], [-3, -3]]]], [[11, 6, 2, 1, 2], [2^(1/2) < v, u = -v, x = -1, y
< 0, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-1, -1], [-1, -1],
[-1482911/1048576, -741455/524288]]]], [[11, 6, 2, 1, 3], [2^(1/2) < v, u = -v
, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3,
3], [-3, -3], [-1, -1], [-1, -1], [0, 0]]]], [[11, 6, 2, 1, 4], [2^(1/2) < v,
u = -v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-\
1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 6, 2, 1, 5], [2^(
1/2) < v, u = -v, x = -1, y < 0, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
3, -3], [-1, -1], [-1, -1], [3, 3]]]], [[11, 8, 3, 4, 1], [2^(1/2) < v, u = -(
v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3
, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [0, 0], [-3, -3]]]]
, [[11, 8, 3, 4, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y =
0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[11, 8
, 3, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, And(-
(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-3/2, -3/2], [0, 0], [0, 0]]]], [[11, 8, 3, 4, 4], [2^(1/2
) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [
0, 0], [642119/524288, 1284239/1048576]]]], [[11, 8, 3, 4, 5], [2^(1/2) < v, u
= -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [0, 0], [3, 3]]]
], [[11, 12, 1, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(-x-3 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[11, 12, 1, 5, 2], [2^(1/2) < v, u
= (v^2-2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [5/2, 5/2], [
-1284239/1048576, -642119/524288]]]], [[11, 12, 1, 5, 3], [2^(1/2) < v, u = (v
^2-2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [5/2,
5/2], [0, 0]]]], [[11, 12, 1, 5, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3,
And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]
], [[11, 12, 1, 5, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, And(-x-3 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-4, -4], [5/2, 5/2], [3, 3]]]], [[11, 13, 10, 1, 1], [2^(1/2) < v, And
((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1/2)
], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-5, -5]
, [-3, -3]]]], [[11, 13, 10, 1, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3
], [1435023/524288, 1435023/524288], [1, 1], [-5, -5], [-2, -2]]]], [[11, 13,
10, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y <
u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [1, 1], [-5, -5], [0, 0]]]], [[11, 13, 10, 1
, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v
^2-2, z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [1, 1], [-5, -5], [2, 2]]]], [[11, 13, 10, 1, 5], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-5, -5], [
3, 3]]]], [[11, 19, 7, 7, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [129511/1048576, 129511/1048576], [0, 0]]]], [[11, 21, 5, 1, 1
], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -
(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-18, -18], [-6,
-6]]]], [[11, 21, 5, 1, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0)
, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1/2
, -1/2], [-18, -18], [-281881/65536, -4510095/1048576]]]], [[11, 21, 5, 1, 3],
[2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2
], [-18, -18], [0, 0]]]], [[11, 21, 5, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u,
And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3
], [5, 5], [-1/2, -1/2], [-18, -18], [4510095/1048576, 281881/65536]]]], [[11,
21, 5, 1, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2
-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-1/2, -1/2], [-18,
-18], [6, 6]]]], [[1, 4, 6, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 0, 0
< y, z = z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [0,
0], [1, 1], [0, 0]]]], [[1, 6, 5, 4, 1], [v < -2^(1/2), u = v, And(0 < x,x < 1
), y = -x, z < 0], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-1/2, -1/
2], [-1, -1]]]], [[1, 6, 5, 4, 2], [v < -2^(1/2), u = v, And(0 < x,x < 1), y =
-x, z = 0], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0,
0]]]], [[1, 6, 5, 4, 3], [v < -2^(1/2), u = v, And(0 < x,x < 1), y = -x, 0 < z
], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [
[1, 11, 11, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -
u^2+v^2-1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-9,
-9], [-1, -1]]]], [[1, 11, 11, 4, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [
0, 0], [9, 9], [-9, -9], [0, 0]]]], [[1, 11, 11, 4, 3], [v < -2^(1/2), And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y = -x, 0 < z], [
regular_chain, [[-3, -3], [0, 0], [9, 9], [-9, -9], [1, 1]]]], [[1, 13, 8, 3,
1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, 
And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576],
[-7392521/4194304, -7392521/4194304], [-3, -3]]]], [[1, 13, 8, 3, 2], [v < -2^
(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v
^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [-7392521/
4194304, -7392521/4194304], [-1174299/1048576, -587149/524288]]]], [[1, 13, 8,
3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1
, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^
2-y+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/262144, 533037/1048576], [-7392521/4194304, -7392521/4194304], [0, 0]]]
], [[1, 13, 8, 3, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)),
x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)],
[regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [-7392521/4194304, -7392521/4194304], [587149/524288, 1174299
/1048576]]]], [[1, 13, 8, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^
(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/262144, 533037/1048576], [-7392521/4194304, -7392521/4194304], [3, 3]]]
], [[1, 17, 11, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [403851/131072, 403851/131072], [2, 2], [-3, -3], [-2, -2]]]], [[1, 17
, 11, 3, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2
-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [2, 2], [-3, -3], [-1, -1]]]], [[1, 17, 11, 3,
3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,
y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-3, -3], [403851/131072, 403851/131072], [2, 2], [-3, -3], [0, 0]]]], [[1, 17,
11, 3, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [2, 2], [-3, -3], [1, 1]]]], [[1, 17, 11, 3, 5], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v
^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [2, 2], [-3, -3], [2, 2]]]], [[1, 19, 10, 2, 1], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1],
[-3663773/1048576, -915943/262144], [-3, -3]]]], [[1, 19, 10, 2, 2], [v < -2^(
1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576
], [1, 1], [-3663773/1048576, -915943/262144], [-1655969/1048576, -3311937/
2097152]]]], [[1, 19, 10, 2, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1]
, [-3663773/1048576, -915943/262144], [-1/4194304, -1/4194304]]]], [[1, 19, 10
, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -
u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [1, 1], [-3663773/1048576, -915943/262144], [51749/32768,
1655969/1048576]]]], [[1, 19, 10, 2, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-\
3663773/1048576, -915943/262144], [3, 3]]]], [[2, 3, 9, 7, 1], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), And(u^2-x-3 < y,y < 0), z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-135777/1048576, -135777/
1048576], [0, 0]]]], [[2, 5, 8, 4, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = 0, y = u^2-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-275385/524288,
-1101539/2097152], [-2, -2]]]], [[2, 5, 8, 4, 2], [v = -2^(1/2), And(-3^(1/2)
< u,u < v), x = 0, y = u^2-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
275385/524288, -1101539/2097152], [-379975/524288, -1519899/2097152]]]], [[2,
5, 8, 4, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, y = u^2-3, And(-(-
u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-275385/524288,
-1101539/2097152], [-1/4194304, -1/4194304]]]], [[2, 5, 8, 4, 4], [v = -2^(1/2
), And(-3^(1/2) < u,u < v), x = 0, y = u^2-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-275385/524288, -1101539/2097152], [759949/1048576,
379975/524288]]]], [[2, 5, 8, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x
= 0, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-275385/524288,
-1101539/2097152], [2, 2]]]], [[2, 6, 1, 1, 1], [v = -2^(1/2), u = v, x < -1,
y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-3, -3]]]], [[2, 6,
1, 1, 2], [v = -2^(1/2), u = v, x < -1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[2, 6,
1, 1, 3], [v = -2^(1/2), u = v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[2
, 6, 1, 1, 4], [v = -2^(1/2), u = v, x < -1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[2, 6, 1,
1, 5], [v = -2^(1/2), u = v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2,
-2], [-1, -1], [3, 3]]]], [[2, 8, 1, 5, 1], [v = -2^(1/2), u = -1, x < -2, And
(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-3, -3], [2, 2], [-2, -2]]]], [[2, 8, 1, 5, 2], [v
= -2^(1/2), u = -1, x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [2, 2]
, [-1, -1]]]], [[2, 8, 1, 5, 3], [v = -2^(1/2), u = -1, x < -2, And(-x-2 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [2, 2], [0, 0]]]], [[2, 8, 1, 5,
4], [v = -2^(1/2), u = -1, x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [2, 2]
, [1, 1]]]], [[2, 8, 1, 5, 5], [v = -2^(1/2), u = -1, x < -2, And(-x-2 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1, -1], [-3, -3], [2, 2], [2, 2]]]], [[2, 13, 7, 1, 1], [v = -2^(1/2), And(1
< u,u < -v), And(-u^2+1 < x,x < 0), y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-3, -3], [-3, -3]]]], [[2, 13,
7, 1, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y < u^2-x-3
, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -3
], [-7536399/4194304, -3768199/2097152]]]], [[2, 13, 7, 1, 3], [v = -2^(1/2),
And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -3
], [-1/4194304, -1/4194304]]]], [[2, 13, 7, 1, 4], [v = -2^(1/2), And(1 < u,u
< -v), And(-u^2+1 < x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
239655/1048576, -239655/1048576], [-3, -3], [1884099/1048576, 471025/262144]]]
], [[2, 13, 7, 1, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0),
y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576
], [-3, -3], [3, 3]]]], [[2, 15, 7, 5, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/
2)), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-275385/2097152, -275385/
2097152], [-2, -2]]]], [[2, 15, 7, 5, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-275385/2097152, -275385/
2097152], [-1316273/2097152, -82267/131072]]]], [[2, 15, 7, 5, 3], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [-275385/2097152, -275385/2097152], [0, 0]]]], [[2, 15, 7, 5, 4], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
275385/2097152, -275385/2097152], [82267/131072, 658137/1048576]]]], [[2, 15,
7, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(u^
2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [-275385/2097152, -275385/2097152], [2, 2]]]], [[2, 19, 6, 7, 1], [v
= -2^(1/2), 2 < u, x = 0, u^2-3 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [0, 0], [7, 7], [0, 0]]]], [[3, 2, 1, 6, 1],
[And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [4, 4], [-1, -1]]]], [[3, 2, 1, 6, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4
, -4], [4, 4], [0, 0]]]], [[3, 2, 1, 6, 3], [And(-2^(1/2) < v,v < -1), u = -(v
^2+2)^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [4, 4], [1,
1]]]], [[3, 7, 8, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), x = 0, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [1, 1], [0, 0]]]], [[3
, 9, 7, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), And(0 < x,x < -u^2+v^2-1), y = 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [0, 0],
[0, 0]]]], [[3, 17, 6, 1, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x
= 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [0, 0], [-10, -10], [-5, -5]]]], [[3, 17, 6, 1, 2],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z = -(-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0]
, [-10, -10], [-3315889/1048576, -207243/65536]]]], [[3, 17, 6, 1, 3], [And(-2
^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [0, 0], [-10, -10], [0, 0]]]], [[3, 17, 6, 1, 4], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [-10, -10], [207243/
65536, 3315889/1048576]]]], [[3, 17, 6, 1, 5], [And(-2^(1/2) < v,v < -1), (v^2
+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [-10, -10], [5, 5]]]], [[4
, 1, 11, 9, 1], [v = -1, u < -3^(1/2), u^2-2 < x, 0 < y, z = z], [
regular_chain, [[-1, -1], [-3, -3], [8, 8], [1, 1], [0, 0]]]], [[4, 7, 8, 3, 1
], [v = -1, And(-1 < u,u < 0), x = 0, And(u^2-2 < y,y < -u^2), z < -(-y)^(1/2)
], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1, -1], [-2, -2]]]], [[4
, 7, 8, 3, 2], [v = -1, And(-1 < u,u < 0), x = 0, And(u^2-2 < y,y < -u^2), z =
-(-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-1, -1], [-1,
-1]]]], [[4, 7, 8, 3, 3], [v = -1, And(-1 < u,u < 0), x = 0, And(u^2-2 < y,y <
-u^2), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2,
-1/2], [0, 0], [-1, -1], [0, 0]]]], [[4, 7, 8, 3, 4], [v = -1, And(-1 < u,u <
0), x = 0, And(u^2-2 < y,y < -u^2), z = (-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [0, 0], [-1, -1], [1, 1]]]], [[4, 7, 8, 3, 5], [v = -1, And(-1
< u,u < 0), x = 0, And(u^2-2 < y,y < -u^2), (-y)^(1/2) < z], [regular_chain, [
[-1, -1], [-1/2, -1/2], [0, 0], [-1, -1], [2, 2]]]], [[4, 9, 7, 2, 1], [v = -1
, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-13/8, -13/8], [-3, -3]]]
], [[4, 9, 7, 2, 2], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = u^2-x
-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8],
[-13/8, -13/8], [-10837/8192, -1387135/1048576]]]], [[4, 9, 7, 2, 3], [v = -1,
And(0 < u,u < 1), And(-u^2 < x,x < 0), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z
< (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-13/
8, -13/8], [0, 0]]]], [[4, 9, 7, 2, 4], [v = -1, And(0 < u,u < 1), And(-u^2 <
x,x < 0), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1
/2], [-1/8, -1/8], [-13/8, -13/8], [1387135/1048576, 10837/8192]]]], [[4, 9, 7
, 2, 5], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = u^2-x-2, (-u^2+2)
^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-13/8, -13/
8], [3, 3]]]], [[4, 13, 9, 9, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(u
^2-2 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [773191/1048576, 773191/1048576], [1, 1], [0, 0]]]], [[4, 15
, 6, 6, 1], [v = -1, 3^(1/2) < u, x = 0, y = u^2-2, z = z], [regular_chain, [[
-1, -1], [3, 3], [0, 0], [7, 7], [0, 0]]]], [[5, 5, 8, 4, 1], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0,
0], [-624419/1048576, -1248837/2097152], [-2, -2]]]], [[5, 5, 8, 4, 2], [And(-\
1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z = -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [0, 0], [-624419/1048576, -1248837/2097152], [-1618333/2097152, -\
3236665/4194304]]]], [[5, 5, 8, 4, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)
^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[0, 0], [-624419/1048576, -1248837/2097152], [-1/8388608, -1/8388608]]]], [[5,
5, 8, 4, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2
-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [-624419/1048576, -1248837/2097152], [
404583/524288, 809167/1048576]]]], [[5, 5, 8, 4, 5], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-\
624419/1048576, -1248837/2097152], [2, 2]]]], [[5, 7, 9, 1, 1], [And(-1 < v,v
< 0), And(v < u,u < -v), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[
5, 7, 9, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y < u
^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1
/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[5, 7, 9, 1, 3], [And(-\
1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1
/2], [-3, -3], [0, 0]]]], [[5, 7, 9, 1, 4], [And(-1 < v,v < 0), And(v < u,u <
-v), And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [0, 0], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]],
[[5, 7, 9, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(0 < x,x < 1), y <
u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [1/2, 1
/2], [-3, -3], [3, 3]]]], [[5, 8, 1, 3, 1], [And(-1 < v,v < 0), u = -v, x < -1
, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2
, 1/2], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[5, 8, 1, 3, 2], [And(-1 < v,v < 0
), u = -v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain, [[
-1/2, -1/2], [1/2, 1/2], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/
524288]]]], [[5, 8, 1, 3, 3], [And(-1 < v,v < 0), u = -v, x < -1, And(0 < y,y
< -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [1/2, 1/2], [-2, -2], [1/2, 1/2], [0, 0]]]], [[5, 8, 1, 3, 4], [And(-1 < v
,v < 0), u = -v, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [1/2, 1/2], [642119/524288
, 1284239/1048576]]]], [[5, 8, 1, 3, 5], [And(-1 < v,v < 0), u = -v, x < -1, 
And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2, 1
/2], [-2, -2], [1/2, 1/2], [3, 3]]]], [[5, 10, 1, 7, 1], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3, -3], [4, 4], [0, 0]]]], [[6, 2, 3, 5, 1]
, [v = 0, u = -2^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [1
, 1], [-2, -2]]]], [[6, 2, 3, 5, 2], [v = 0, u = -2^(1/2), And(-3 < x,x < -1),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [-1, -1]]]], [[6, 2, 3, 5, 3], [v
= 0, u = -2^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [0, 0]]]], [[6, 2, 3, 5, 4], [v = 0, u = -2^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [1, 1]]]], [[6, 2, 3
, 5, 5], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -\
2], [1, 1], [2, 2]]]], [[6, 3, 11, 4, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1
< x, y = -x, z < 0], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [2, 2], [-2, -2], [-1, -1]]]], [[6, 3, 11, 4, 2], [v = 0, And(-2^(1/
2) < u,u < -1), 1 < x, y = -x, z = 0], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [2, 2], [-2, -2], [0, 0]]]], [[6, 3, 11, 4, 3], [v
= 0, And(-2^(1/2) < u,u < -1), 1 < x, y = -x, 0 < z], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[6, 8, 3,
6, 1], [v = 0, u = 1, And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[0,
0], [1, 1], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[6, 8, 3, 6, 2], [v = 0, u
= 1, And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[0, 0], [1, 1], [-3/
2, -3/2], [3/2, 3/2], [0, 0]]]], [[6, 8, 3, 6, 3], [v = 0, u = 1, And(-2 < x,x
< -1), y = -x, 0 < z], [regular_chain, [[0, 0], [1, 1], [-3/2, -3/2], [3/2, 3/
2], [1, 1]]]], [[6, 10, 1, 8, 1], [v = 0, u = 2^(1/2), x < -3, y = 1-x, z = z]
, [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-4, -4], [5, 5],
[0, 0]]]], [[7, 4, 1, 6, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, y
= -x, z < 0], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576],
[-3, -3], [3, 3], [-1, -1]]]], [[7, 4, 1, 6, 2], [And(0 < v,v < 1), u = -(v^2+
1)^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-146543/131072
, -1172343/1048576], [-3, -3], [3, 3], [0, 0]]]], [[7, 4, 1, 6, 3], [And(0 < v
,v < 1), u = -(v^2+1)^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[1/2, 1/
2], [-146543/131072, -1172343/1048576], [-3, -3], [3, 3], [1, 1]]]], [[7, 5, 
11, 5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v
^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [2, 2], [-9637445/4194304, -9637445/4194304], [-2
, -2]]]], [[7, 5, 11, 5, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-9637445/4194304, -\
9637445/4194304], [-1144335/2097152, -572167/1048576]]]], [[7, 5, 11, 5, 3], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [2, 2], [-9637445/4194304, -9637445/
4194304], [0, 0]]]], [[7, 5, 11, 5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-\
9637445/4194304, -9637445/4194304], [572167/1048576, 71521/131072]]]], [[7, 5,
11, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v
^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-9637445/4194304, -9637445/4194304], [2,
2]]]], [[7, 13, 11, 5, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x
, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [3, 3], [9
, 9], [-41/8, -41/8], [0, 0]]]], [[8, 2, 6, 6, 1], [v = 1, u = -3^(1/2), x = 0
, y = 1, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152]
, [0, 0], [1, 1], [0, 0]]]], [[8, 8, 2, 5, 1], [v = 1, u = 0, x = -2, 2 < y, z
= z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [3, 3], [0, 0]]]], [[8, 10, 1
, 6, 1], [v = 1, u = 1, x < -1, y = -x, z < 0], [regular_chain, [[1, 1], [1, 1
], [-2, -2], [2, 2], [-1, -1]]]], [[8, 10, 1, 6, 2], [v = 1, u = 1, x < -1, y
= -x, z = 0], [regular_chain, [[1, 1], [1, 1], [-2, -2], [2, 2], [0, 0]]]], [[
8, 10, 1, 6, 3], [v = 1, u = 1, x < -1, y = -x, 0 < z], [regular_chain, [[1, 1
], [1, 1], [-2, -2], [2, 2], [1, 1]]]], [[8, 14, 4, 2, 1], [v = 1, u = 3^(1/2)
, x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 14, 4, 2, 2], [v = 1,
u = 3^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[8, 14, 4, 2, 3], [v = 1, u = 3^(1/2), x = -1, y = -2, And(-3^(1
/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[8, 14, 4, 2, 4],
[v = 1, u = 3^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/
1048576]]]], [[8, 14, 4, 2, 5], [v = 1, u = 3^(1/2), x = -1, y = -2, 3^(1/2) <
z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [-2,
-2], [3, 3]]]], [[9, 1, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [
12013647/2097152, 12013647/2097152], [-4, -4]]]], [[9, 1, 1, 5, 2], [And(1 < v
,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [-10, -10], [12013647/2097152, 12013647/2097152], [-2167143/1048576, -\
1083571/524288]]]], [[9, 1, 1, 5, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1
/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[-10, -10], [12013647/2097152, 12013647/2097152], [0, 0]]]], [[9, 1, 1, 5, 4],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10, -10], [12013647/2097152, 12013647/2097152], [1083571
/524288, 2167143/1048576]]]], [[9, 1, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u < -
(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [
12013647/2097152, 12013647/2097152], [4, 4]]]], [[9, 6, 3, 1, 1], [And(1 < v,v
< 2^(1/2)), u = -v, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[9, 6, 3, 1, 2], [And(
1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]
], [[9, 6, 3, 1, 3], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x,x < 0), y < -\
1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2],
[-2, -2], [0, 0]]]], [[9, 6, 3, 1, 4], [And(1 < v,v < 2^(1/2)), u = -v, And(-1
< x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-2, -2]
, [207243/131072, 1657945/1048576]]]], [[9, 6, 3, 1, 5], [And(1 < v,v < 2^(1/2
)), u = -v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [-2, -2], [3, 3]]]], [[9, 8, 4, 2, 1], [And(1 < v,v < 2^(1/2)), u = -
(v^2-1)^(1/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1,
-1], [-3, -3]]]], [[9, 8, 4, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2
), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1, -1], [-1482911/
1048576, -741455/524288]]]], [[9, 8, 4, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1,
-1], [-1, -1], [0, 0]]]], [[9, 8, 4, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2
-1)^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1, -1], [
741455/524288, 1482911/1048576]]]], [[9, 8, 4, 2, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2-1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1,
-1], [3, 3]]]], [[9, 8, 8, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-2, -2
], [-2, -2]]]], [[9, 8, 8, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-2, -2
], [-1, -1]]]], [[9, 8, 8, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [-2, -2], [0, 0]]]], [[9, 8, 8, 3, 4], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [-2, -2], [1, 1]]]], [[9, 8, 8, 3, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [1, 1], [-2, -2], [2, 2]]]], [[9, 10, 7, 4, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2]
, [-1/2, -1/2], [-1, -1]]]], [[9, 10, 7, 4, 2], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[9, 10, 7, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2
), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-1/2, -1/2], [
1, 1]]]], [[9, 16, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-\
3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[1, 1], [-2, -2]]]], [[9, 16, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [1, 1], [-1, -1]]]], [[9, 16, 3, 5, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [1, 1], [0, 0]]]], [[9, 
16, 3, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [1, 1], [1, 1]]]]
, [[9, 16, 3, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [1, 1], [2, 2]]
]], [[9, 17, 11, 8, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1
< x, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3
], [8, 8], [0, 0], [0, 0]]]], [[10, 4, 8, 4, 1], [v = 2^(1/2), u = -3^(1/2), x
= 1, y = -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [1, 1], [-1, -1], [-1, -1]]]], [[10, 4, 8,
4, 2], [v = 2^(1/2), u = -3^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [1, 1],
[-1, -1], [0, 0]]]], [[10, 4, 8, 4, 3], [v = 2^(1/2), u = -3^(1/2), x = 1, y =
-1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [1, 1], [-1, -1], [1, 1]]]], [[10, 6, 7, 5, 1], [v
= 2^(1/2), u = -v, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2], [-1, -1]
, [0, 0]]]], [[10, 12, 1, 6, 1], [v = 2^(1/2), u = 1, x < -2, y = -x, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [3, 3], [
-1, -1]]]], [[10, 12, 1, 6, 2], [v = 2^(1/2), u = 1, x < -2, y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [3, 3], [0
, 0]]]], [[10, 12, 1, 6, 3], [v = 2^(1/2), u = 1, x < -2, y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [3, 3], [1
, 1]]]], [[10, 13, 11, 9, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, 0 < y, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[11, 2, 5, 9, 1], [2^(1/2) < v,
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[3, 3
], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[11,
4, 4, 2, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y = -1, z < -2^(1/2)],
[regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [-1, -1]
, [-3, -3]]]], [[11, 4, 4, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y
= -1, z = -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[11, 4, 4, 2, 3
], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [
-1, -1], [0, 0]]]], [[11, 4, 4, 2, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -\
1, y = -1, z = 2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 4, 4, 2
, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [-1, -1],
[3, 3]]]], [[11, 10, 1, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y = 0
, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-4, -4], [0, 0], [-3, -3]]]], [[11, 10, 1, 2, 2], [2^(1/2) < v, u =
-(v^2-2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[11, 10, 1
, 2, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,
z < (-x)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576
], [-4, -4], [0, 0], [0, 0]]]], [[11, 10, 1, 2, 4], [2^(1/2) < v, u = -(v^2-2)
^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-4, -4], [0, 0], [2, 2]]]], [[11, 10, 1, 2, 5], [
2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [0, 0]
, [3, 3]]]], [[11, 11, 9, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), And(-x < y,y < 0), z = z], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-9/4, -9/4], [0, 0]]]], [[11, 15,
8, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y
,y < -u^2+v^2-1), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [0, 0], [-1, -1], [-2, -2]]]], [[11, 15, 8, 3, 2], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z
= -(-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
0, 0], [-1, -1], [-1, -1]]]], [[11, 15, 8, 3, 3], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[0, 0], [-1, -1], [0, 0]]]], [[11, 15, 8, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = (-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-1, -1],
[1, 1]]]], [[11, 15, 8, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x =
0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) < z], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [0, 0], [-1, -1], [2, 2]]]], [[11, 17, 9
, 4, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2
-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [1/2, 1/2], [-1055481/1048576, -131935/131072], [-2, -2]]]], [
[11, 17, 9, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1
), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [1/2, 1/2], [-1055481/1048576, -131935/131072], [-\
373161/524288, -1492643/2097152]]]], [[11, 17, 9, 4, 3], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/
2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [1/2, 1/2], [-1055481/1048576, -131935/131072], [-1/4194304, -\
1/4194304]]]], [[11, 17, 9, 4, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-1055481/1048576, -131935/
131072], [746321/1048576, 373161/524288]]]], [[11, 17, 9, 4, 5], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^
(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2
], [-1055481/1048576, -131935/131072], [2, 2]]]], [[1, 1, 2, 5, 1], [v < -2^(1
/2), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z
= z], [regular_chain, [[-3, -3], [-5, -5], [-17, -17], [49/2, 49/2], [0, 0]]]]
, [[1, 2, 8, 4, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, y = -1, z < 0],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [1, 1], [-1, -\
1], [-1, -1]]]], [[1, 2, 8, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 1, y
= -1, z = 0], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576],
[1, 1], [-1, -1], [0, 0]]]], [[1, 2, 8, 4, 3], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [1, 1], [-1, -1], [1, 1]]]], [[1, 8, 5, 6, 1], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [1/2, 1/2], [-1, -1]
]]], [[1, 8, 5, 6, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y
= -x, z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 8, 5, 6, 3], [v < -2^(1/2), u = -(
v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1,
10, 3, 6, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x, z
< 0], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2
], [2, 2], [-1, -1]]]], [[1, 10, 3, 6, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2),
And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [2, 2], [0, 0]]]], [[1, 10, 3, 6, 3], [v
< -2^(1/2), u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-2, -2], [2,
2], [1, 1]]]], [[1, 13, 11, 8, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [1435023/524288
, 1435023/524288], [2, 2], [0, 0], [0, 0]]]], [[1, 15, 10, 7, 1], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1, 1], [-1/2, -\
1/2], [0, 0]]]], [[1, 21, 7, 1, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 <
x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5,
5], [1/2, 1/2], [-19, -19], [-6, -6]]]], [[1, 21, 7, 1, 2], [v < -2^(1/2), (v^
2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-19, -19], [-281881/65536, -\
4510095/1048576]]]], [[1, 21, 7, 1, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(
0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-19, -19], [0, 0]]]], [[1, 21,
7, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1
, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-19, -19]
, [4510095/1048576, 281881/65536]]]], [[1, 21, 7, 1, 5], [v < -2^(1/2), (v^2+2
)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [1/2, 1/2], [-19, -19], [6, 6]]]], [[2, 2, 1
, 7, 1], [v = -2^(1/2), u = -2, x < -3, And(-x < y,y < 1-x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [9/2,
9/2], [0, 0]]]], [[2, 9, 11, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, 
And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-27/8, -27/8], [-3, -3]]]], [
[2, 9, 11, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, And(u^2-x-3 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1/2, -1/2], [2, 2], [-27/8, -27/8], [-1229565/1048576, -307391/262144]]]], [
[2, 9, 11, 3, 3], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, And(u^2-x-3 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [2, 2], [-27/8, -27/8], [0, 0]]]], [[2
, 9, 11, 3, 4], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, And(u^2-x-3 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [2, 2], [-27/8, -27/8], [307391/262144, 1229565/1048576]]]], [[2,
9, 11, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, And(u^2-x-3 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/
2, -1/2], [2, 2], [-27/8, -27/8], [3, 3]]]], [[2, 11, 8, 2, 1], [v = -2^(1/2),
And(0 < u,u < 1), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-\
7/2, -7/2], [-3, -3]]]], [[2, 11, 8, 2, 2], [v = -2^(1/2), And(0 < u,u < 1), x
= -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-7/2, -7/2], [-1738867/
1048576, -3477733/2097152]]]], [[2, 11, 8, 2, 3], [v = -2^(1/2), And(0 < u,u <
1), x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-\
7/2, -7/2], [-1/4194304, -1/4194304]]]], [[2, 11, 8, 2, 4], [v = -2^(1/2), And
(0 < u,u < 1), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-7/2, -7/2], [
869433/524288, 1738867/1048576]]]], [[2, 11, 8, 2, 5], [v = -2^(1/2), And(0 <
u,u < 1), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [3/4, 3/4], [-7/2, -7/2], [3, 3]
]]], [[2, 17, 6, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(-u^2
+1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [0, 0], [-2602619/2097152, -\
2602619/2097152], [-3, -3]]]], [[2, 17, 6, 3, 2], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), x = 0, And(-u^2+1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0],
[-2602619/2097152, -2602619/2097152], [-4563/4096, -1168127/1048576]]]], [[2,
17, 6, 3, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(-u^2+1 < y,y <
0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [0, 0], [-2602619/2097152
, -2602619/2097152], [0, 0]]]], [[2, 17, 6, 3, 4], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), x = 0, And(-u^2+1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [0, 0],
[-2602619/2097152, -2602619/2097152], [1168127/1048576, 4563/4096]]]], [[2, 17
, 6, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(-u^2+1 < y,y < 0
), (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [0, 0], [-2602619/2097152, -2602619/2097152
], [3, 3]]]], [[2, 19, 3, 4, 1], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[2, 19, 3, 4, 2], [v = -2^(1/2), 2
< u, And(-u^2+1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [0, 0], [-1112183/
524288, -2224365/1048576]]]], [[2, 19, 3, 4, 3], [v = -2^(1/2), 2 < u, And(-u^
2+1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [0, 0], [0, 0]]]],
[[2, 19, 3, 4, 4], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = 0, z = (-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2,
-9/2], [0, 0], [2224365/1048576, 1112183/524288]]]], [[2, 19, 3, 4, 5], [v = -
2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [0, 0], [4, 4]]]]
, [[3, 3, 9, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608
], [775271/1048576, 775271/1048576], [-136653/524288, -273305/1048576], [0, 0]
]]], [[3, 5, 8, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
0, 0], [-4194303/4194304, -4194303/4194304], [-2, -2]]]], [[3, 5, 8, 3, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1
< y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-4194303/
4194304, -4194303/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]
], [[3, 5, 8, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-4194303/4194304, -4194303/4194304], [-3670015/
8796093022208, -3670015/8796093022208]]]], [[3, 5, 8, 3, 4], [And(-2^(1/2) < v
,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2
-1), z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [0, 0], [-4194303/4194304, -4194303/
4194304], [1048575/1048576, 1]]]], [[3, 5, 8, 3, 5], [And(-2^(1/2) < v,v < -1)
, And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), (-y
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [0, 0], [-4194303/4194304, -4194303/4194304], [2,
2]]]], [[3, 11, 6, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593
/262144, -450371/1048576], [0, 0], [-2, -2]]]], [[3, 11, 6, 4, 2], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [0, 0], [-\
1374407/2097152, -687203/1048576]]]], [[3, 11, 6, 4, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[0, 0], [0, 0]]]], [[3, 11, 6, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(
1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [0, 0], [687203/1048576, 171801/
262144]]]], [[3, 11, 6, 4, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-112593
/262144, -450371/1048576], [0, 0], [2, 2]]]], [[3, 13, 7, 1, 1], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2
+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [-3, -3], [-3, -3]]]], [[3, 13, 7, 1, 2], [And(-2^(1/2) < v,v < -1), And(-v
< u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-3, -3], [-\
7580255/4194304, -3790127/2097152]]]], [[3, 13, 7, 1, 3], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/
524288, -139585/524288], [-3, -3], [-1/4194304, -1/4194304]]]], [[3, 13, 7, 1,
4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/
524288, -139585/524288], [-3, -3], [1895063/1048576, 236883/131072]]]], [[3, 
13, 7, 1, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(u^
2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [-3, -3], [3, 3]]]], [[3, 13, 10, 6, 1], [And(
-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[3, 13, 10, 6, 2], [And(-2^(
1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-1, -1], [0, 0]]]], [[3, 13, 10, 6, 3], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-1, -1], [1, 1]]]], [[3, 15, 9, 5, 1], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x <
1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/
1048576], [-1048577/2097152, -1048577/2097152], [0, 0]]]], [[4, 3, 9, 1, 1], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, z <
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304
], [1546383/2097152, 1546383/2097152], [-5, -5], [-4, -4]]]], [[4, 3, 9, 1, 2]
, [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1546383/2097152, 1546383/2097152], [-5, -5], [-270613/131072, -\
2164903/1048576]]]], [[4, 3, 9, 1, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2))
, And(u^2-2 < x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1546383/
2097152, 1546383/2097152], [-5, -5], [0, 0]]]], [[4, 3, 9, 1, 4], [v = -1, And
(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, z = (-x-y)^(1/2
)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1546383/
2097152, 1546383/2097152], [-5, -5], [2164903/1048576, 270613/131072]]]], [[4,
3, 9, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y
< -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-5, -5], [4, 4]]]], [[4
, 5, 7, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-569265/2097152, -569265/2097152], [35579/262144, 35579/
262144], [-2, -2]]]], [[4, 5, 7, 7, 2], [v = -1, And(-2^(1/2) < u,u < -1), And
(u^2-2 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1
, -1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152
], [35579/262144, 35579/262144], [-386303/1048576, -193151/524288]]]], [[4, 5,
7, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [35579
/262144, 35579/262144], [0, 0]]]], [[4, 5, 7, 7, 4], [v = -1, And(-2^(1/2) < u
,u < -1), And(u^2-2 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/262144, 35579/262144], [193151/524288, 
386303/1048576]]]], [[4, 5, 7, 7, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(u
^2-2 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -\
1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152],
[35579/262144, 35579/262144], [2, 2]]]], [[4, 9, 10, 7, 1], [v = -1, And(0 < u
,u < 1), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1, -1], [1/2, 1/
2], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 11, 11, 2, 1], [v = -1, And(1 < u,u
< 2^(1/2)), 1 < x, y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [2, 2], [-3625039/1048576, -1812519/524288], [-3, -\
3]]]], [[4, 11, 11, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x,
z = -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2]
, [-3625039/1048576, -1812519/524288], [-1265743/1048576, -1265743/1048576]]]]
, [[4, 11, 11, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x, And(
-u < z,z < u)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[2, 2], [-3625039/1048576, -1812519/524288], [0, 0]]]], [[4, 11, 11, 2, 4], [v
= -1, And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x, z = u], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [2, 2], [-3625039/1048576, -1812519/
524288], [1265743/1048576, 1265743/1048576]]]], [[4, 11, 11, 2, 5], [v = -1, 
And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x, u < z], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [2, 2], [-3625039/1048576, -1812519/524288
], [3, 3]]]], [[5, 2, 1, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3
, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[5, 2, 1, 5, 2], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [5/2, 5/2], [-1284239/
1048576, -642119/524288]]]], [[5, 2, 1, 5, 3], [And(-1 < v,v < 0), u = -(v^2+2
)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [5/2, 5/2], [0, 0]]]
], [[5, 2, 1, 5, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(-x-3
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [
-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[5, 2, 1, 5, 5], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-4, -4], [5/2, 5/2], [
3, 3]]]], [[5, 3, 9, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [-70317/262144, -281267/1048576], [0, 0]]]], [[5, 
11, 11, 7, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1
< x, And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [2, 2], [-3222219/4194304, -3222219/4194304], [
0, 0]]]], [[5, 13, 8, 6, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 1, y =
0, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [1, 1], [0, 0], [0, 0]]]], [
[6, 5, 10, 2, 1], [v = 0, And(-1 < u,u < 0), x = 1, y = -u^2-2, z < -(u^2+1)^(
1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-9/4, -9/4], [-3, -3]]]
], [[6, 5, 10, 2, 2], [v = 0, And(-1 < u,u < 0), x = 1, y = -u^2-2, z = -(u^2+
1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-9/4, -9/4], [-\
146543/131072, -1172343/1048576]]]], [[6, 5, 10, 2, 3], [v = 0, And(-1 < u,u <
0), x = 1, y = -u^2-2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-9/4, -9/4], [0, 0]]]], [[6, 5,
10, 2, 4], [v = 0, And(-1 < u,u < 0), x = 1, y = -u^2-2, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-9/4, -9/4], [1172343/1048576,
146543/131072]]]], [[6, 5, 10, 2, 5], [v = 0, And(-1 < u,u < 0), x = 1, y = -u
^2-2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [1, 1], [-9/4
, -9/4], [3, 3]]]], [[6, 7, 10, 6, 1], [v = 0, And(0 < u,u < 1), x = 1, y = -1
, z < 0], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-1, -1], [-1, -1]]]],
[[6, 7, 10, 6, 2], [v = 0, And(0 < u,u < 1), x = 1, y = -1, z = 0], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-1, -1], [0, 0]]]], [[6, 7, 10, 6
, 3], [v = 0, And(0 < u,u < 1), x = 1, y = -1, 0 < z], [regular_chain, [[0, 0]
, [1/2, 1/2], [1, 1], [-1, -1], [1, 1]]]], [[6, 11, 9, 8, 1], [v = 0, 2^(1/2)
< u, And(1 < x,x < u^2-1), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [3, 3
], [9/2, 9/2], [7/2, 7/2], [0, 0]]]], [[7, 2, 4, 7, 1], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z = z], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-1, -1], [3/2, 3/2], [0, 0]]]], [[7, 7, 11, 8, 1], [And(0 < v,v
< 1), And(-v < u,u < v), 1 < x, y = 0, z = z], [regular_chain, [[1/2, 1/2], [0
, 0], [2, 2], [0, 0], [0, 0]]]], [[7, 10, 1, 3, 1], [And(0 < v,v < 1), u = (v^
2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [1/2, 1/2], [-3, -3]]]
], [[7, 10, 1, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(0 < y,
y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576,
146543/131072], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [
[7, 10, 1, 3, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(0 < y,y <
-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [-3, -3], [1/2, 1/2], [0, 0]]]], [[7, 10, 1,
3, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z =
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072],
[-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[7, 10, 1, 3, 5],
[And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3
], [1/2, 1/2], [3, 3]]]], [[7, 10, 5, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1
/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [1/4, 1/4], [-2,
-2]]]], [[7, 10, 5, 5, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[
7, 10, 5, 5, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2
, 1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]],
[[7, 10, 5, 5, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[7, 10, 5,
5, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 12, 3, 9, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), 1-x < y, z = z], [regular_chain,
[[1/2, 1/2], [3/2, 3/2], [-2, -2], [4, 4], [0, 0]]]], [[8, 4, 3, 7, 1], [v = 1
, u = -2^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[1, 1], [
-1482911/1048576, -741455/524288], [-3/2, -3/2], [3, 3], [0, 0]]]], [[8, 6, 3,
1, 1], [v = 1, u = -1, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[8, 6,
3, 1, 2], [v = 1, u = -1, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -\
207243/131072]]]], [[8, 6, 3, 1, 3], [v = 1, u = -1, And(-1 < x,x < 0), y < -1
-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1, -1
], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[8, 6, 3, 1, 4], [v = 1, u = -1, And(-1
< x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-\
1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[8, 6, 3, 1, 5], [
v = 1, u = -1, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [-1, -1], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[8, 10, 6, 1, 1], [v =
1, u = 1, x = 1, y < -2, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [1, 1],
[1, 1], [-3, -3], [-3, -3]]]], [[8, 10, 6, 1, 2], [v = 1, u = 1, x = 1, y < -2
, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1, 1], [-3, -3], [-\
1482911/1048576, -741455/524288]]]], [[8, 10, 6, 1, 3], [v = 1, u = 1, x = 1,
y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [1,
1], [1, 1], [-3, -3], [0, 0]]]], [[8, 10, 6, 1, 4], [v = 1, u = 1, x = 1, y <
-2, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [1, 1], [1, 1], [-3, -3], [
741455/524288, 1482911/1048576]]]], [[8, 10, 6, 1, 5], [v = 1, u = 1, x = 1, y
< -2, (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [1, 1], [-3, -3], [3
, 3]]]], [[8, 12, 7, 2, 1], [v = 1, u = 2^(1/2), And(0 < x,x < 1), y = -x-2, z
< -2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2,
1/2], [-5/2, -5/2], [-3, -3]]]], [[8, 12, 7, 2, 2], [v = 1, u = 2^(1/2), And(0
< x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1, 1], [741455/524288,
1482911/1048576], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]
]]], [[8, 12, 7, 2, 3], [v = 1, u = 2^(1/2), And(0 < x,x < 1), y = -x-2, And(-
2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[8, 12, 7, 2, 4], [v = 1, u =
2^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 
1482911/1048576]]]], [[8, 12, 7, 2, 5], [v = 1, u = 2^(1/2), And(0 < x,x < 1),
y = -x-2, 2^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[9, 2, 6, 7, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0
], [2, 2], [0, 0]]]], [[9, 4, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [
-3/2, -3/2], [-3, -3]]]], [[9, 4, 5, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2,
-1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[9, 4, 5, 2, 3],
[And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(
-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]],
[[9, 4, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-1 < x,x <
0), y = -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3/2, -3/2], [741455/
524288, 1482911/1048576]]]], [[9, 4, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2,
-1/2], [-3/2, -3/2], [3, 3]]]], [[9, 12, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u
= v, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[9, 12, 5, 3, 2], [And(1 < v,v <
2^(1/2)), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-1, -1], [-1482911/2097152, -741455/1048576]]]], [[9, 
12, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x,x < 1), And(-1-x < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1
, -1], [0, 0]]]], [[9, 12, 5, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, And(0 < x
,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1
, -1], [741455/1048576, 46341/65536]]]], [[9, 12, 5, 3, 5], [And(1 < v,v < 2^(
1/2)), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-1, -1], [2, 2]]]], [[9, 14, 6, 2, 1], [And(1 < v,v < 2
^(1/2)), u = (v^2+1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [
-2, -2], [-3, -3]]]], [[9, 14, 6, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^
(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[9, 14, 6, 2, 3], [And(1 < v,v < 2^(1/2)
), u = (v^2+1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [0, 0], [-2, -2], [0, 0]]]], [[9, 14, 6, 2, 4], [And(1 < v,v < 2^(1/2
)), u = (v^2+1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-2, -2],
[741455/524288, 1482911/1048576]]]], [[9, 14, 6, 2, 5], [And(1 < v,v < 2^(1/2)
), u = (v^2+1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-2, -2],
[3, 3]]]], [[10, 2, 6, 2, 1], [v = 2^(1/2), u = -2, x = 0, y = -3, z < -3^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-3,
-3], [-3, -3]]]], [[10, 2, 6, 2, 2], [v = 2^(1/2), u = -2, x = 0, y = -3, z =
-3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0]
, [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 2, 6, 2, 3], [v = 2
^(1/2), u = -2, x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-3, -3], [-1/4194304, -1
/4194304]]]], [[10, 2, 6, 2, 4], [v = 2^(1/2), u = -2, x = 0, y = -3, z = 3^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-3
, -3], [908093/524288, 1816187/1048576]]]], [[10, 2, 6, 2, 5], [v = 2^(1/2), u
= -2, x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [0, 0], [-3, -3], [3, 3]]]], [[10, 4, 4, 4, 1], [v = 2^(1/
2), u = -3^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [0, 0], [-2,
-2]]]], [[10, 4, 4, 4, 2], [v = 2^(1/2), u = -3^(1/2), x = -1, y = 0, z = -1],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[10, 4, 4, 4, 3], [v = 2^(1/2), u =
-3^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288,
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [0, 0], [0,
0]]]], [[10, 4, 4, 4, 4], [v = 2^(1/2), u = -3^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-1, -1], [0, 0], [1, 1]]]], [[10, 4, 4, 4, 5], [v = 2^(1/2), u = -3
^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-1, -1], [0, 0], [2, 2]]]], [
[10, 8, 7, 4, 1], [v = 2^(1/2), u = -1, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-1/2,
-1/2], [-1, -1]]]], [[10, 8, 7, 4, 2], [v = 2^(1/2), u = -1, And(0 < x,x < 1),
y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [
1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[10, 8, 7, 4, 3], [v = 2^(1/2), u = -1, 
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 10, 5, 2, 1], [
v = 2^(1/2), u = 0, And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [-5/2, -5/2], [-3,
-3]]]], [[10, 10, 5, 2, 2], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), y = -x-3,
z = -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/
2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[10, 10, 5,
2, 3], [v = 2^(1/2), u = 0, And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z <
3^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-1/2, -\
1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[10, 10, 5, 2, 4], [v = 2^(1
/2), u = 0, And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [-5/2, -5/2], [908093/
524288, 1816187/1048576]]]], [[10, 10, 5, 2, 5], [v = 2^(1/2), u = 0, And(-1 <
x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[10, 16, 1, 1, 1], [
v = 2^(1/2), u = 3^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3],
[-1, -1], [-3, -3]]]], [[10, 16, 1, 1, 2], [v = 2^(1/2), u = 3^(1/2), x < -2,
y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[10, 16, 1
, 1, 3], [v = 2^(1/2), u = 3^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[10, 16, 1, 1, 4], [
v = 2^(1/2), u = 3^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3, -3], [
-1, -1], [2, 2]]]], [[10, 16, 1, 1, 5], [v = 2^(1/2), u = 3^(1/2), x < -2, y <
0, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[10, 17, 11,
4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [2, 2], [-2, -2], [-1, -1]]]], [[10, 17, 11, 4, 2], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), 1 < x, y = -x, z = 0], [regular_chain, [[741455/524288
, 1482911/1048576], [3913339/2097152, 3913339/2097152], [2, 2], [-2, -2], [0,
0]]]], [[10, 17, 11, 4, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = -
x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152
, 3913339/2097152], [2, 2], [-2, -2], [1, 1]]]], [[10, 18, 3, 5, 1], [v = 2^(1
/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [1, 1], [-\
2, -2]]]], [[10, 18, 3, 5, 2], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-2, -2], [1, 1], [-1, -1]]]], [[10, 18, 3, 5, 3], [v = 2^(1
/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2,
-2], [1, 1], [0, 0]]]], [[10, 18, 3, 5, 4], [v = 2^(1/2), u = 2, And(-3 < x,x
< -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [2, 2], [-2, -2], [1, 1], [1, 1]]]], [[10, 18, 3, 5, 5], [v
= 2^(1/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2], [1, 1], [2
, 2]]]], [[10, 19, 11, 8, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [0, 0], [0,
0]]]], [[11, 6, 1, 7, 1], [2^(1/2) < v, u = -v, x < -1, -x < y, z = z], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [3, 3], [0, 0]]]], [[11, 8, 3, 3,
1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[11, 8, 3, 3, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3/2,
-3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[11, 8, 3, 3, 3], [2
^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[11, 8, 3
, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283
/4194304], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[11,
8, 3, 3, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 <
y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[11, 12, 1, 6, 1],
[2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = -x, z < 0], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [-4, -4], [4, 4], [-1, -1]]]], [[11, 12, 1,
6, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = -x, z = 0], [regular_chain
, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [4, 4], [0, 0]]]], [[11, 
12, 1, 6, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x < -3, y = -x, 0 < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-4, -4], [4, 4], [1, 1
]]]], [[11, 13, 10, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [1, 1], [-7357529/2097152, -919691/262144],
[-3, -3]]]], [[11, 13, 10, 2, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [1435023/524288, 1435023/524288], [1, 1], [-7357529/2097152, -919691/
262144], [-3321417/2097152, -415177/262144]]]], [[11, 13, 10, 2, 3], [2^(1/2)
< v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^
2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [1, 1], [-7357529/2097152, -919691/262144], [0, 0]]]
], [[11, 13, 10, 2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2))
, x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1, 1], [-7357529/2097152, -919691/262144], [
415177/262144, 1660709/1048576]]]], [[11, 13, 10, 2, 5], [2^(1/2) < v, And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-\
7357529/2097152, -919691/262144], [3, 3]]]], [[11, 19, 7, 6, 1], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = 0, z =
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/
524288, 129511/524288], [0, 0], [0, 0]]]], [[11, 21, 4, 9, 1], [2^(1/2) < v, (
v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = z], [regular_chain, [[3, 3], [5, 5]
, [-1, -1], [17, 17], [0, 0]]]], [[1, 4, 6, 4, 1], [v < -2^(1/2), u = -(v^2+1)
^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [0, 0], [0, 0], [-1, -1]]]], [[1, 4, 6, 4, 2], [v < -2^(1/2), u
= -(v^2+1)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [0, 0], [0, 0], [0, 0]]]], [[1, 4, 6, 4, 3], [v < -2^
(1/2), u = -(v^2+1)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [0, 0], [0, 0], [1, 1]]]], [[1, 6, 5, 3, 1],
[v < -2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[
1, 6, 5, 3, 2], [v < -2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-1, -1],
[-1482911/2097152, -741455/1048576]]]], [[1, 6, 5, 3, 3], [v < -2^(1/2), u = v
, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-1, -1], [0, 0]]]], [[
1, 6, 5, 3, 4], [v < -2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [1/2, 1/2], [-1, -1],
[741455/1048576, 46341/65536]]]], [[1, 6, 5, 3, 5], [v < -2^(1/2), u = v, And(
0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -\
3], [-3, -3], [1/2, 1/2], [-1, -1], [2, 2]]]], [[1, 11, 11, 5, 1], [v < -2^(1/
2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, And(-x < y,y <
-u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-5, -5], [0
, 0]]]], [[1, 13, 8, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [-1066073/
2097152, -133259/262144], [-1, -1]]]], [[1, 13, 8, 4, 2], [v < -2^(1/2), And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [-1066073/2097152, -133259/262144], [0, 0]]]], [[1, 13, 8, 4,
3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y
= u^2-v^2+1, 0 < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/262144, 533037/1048576], [-1066073/2097152, -133259/262144],
[1, 1]]]], [[1, 17, 11, 2, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1
< x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [-3
, -3]]]], [[1, 17, 11, 2, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1
< x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [-\
1281417/1048576, -160177/131072]]]], [[1, 17, 11, 2, 3], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [2, 2], [-457889/131072, -3663111/1048576], [0, 0]]]], [[1, 17, 11, 2
, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [2, 2], [-457889/131072, -3663111/1048576], [160177/131072, 1281417/1048576
]]]], [[1, 17, 11, 2, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x,
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [3, 3]]]],
[[1, 19, 10, 1, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [1, 1], [-5, -5], [-3, -3]]]], [[1, 19, 10, 1, 2],
[v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2
, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [1, 1], [-5, -5], [-2, -2]]]], [[1, 19, 10, 1, 3], [v < -2^(1/2), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(
1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [1, 1], [-5, -5], [0, 0]]]], [[1, 19, 10, 1, 4], [v < -2^(1/
2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1
)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1
], [-5, -5], [2, 2]]]], [[1, 19, 10, 1, 5], [v < -2^(1/2), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain
, [[-3, -3], [3396811/1048576, 3396811/1048576], [1, 1], [-5, -5], [3, 3]]]],
[[2, 3, 9, 8, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1
), y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288], [0, 0], [0
, 0]]]], [[2, 5, 8, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, And(
u^2-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-1101539/
4194304, -1101539/4194304], [-2, -2]]]], [[2, 5, 8, 5, 2], [v = -2^(1/2), And(
-3^(1/2) < u,u < v), x = 0, And(u^2-3 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1101539/4194304, -1101539/4194304], [-268683/
524288, -1074731/2097152]]]], [[2, 5, 8, 5, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = 0, And(u^2-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1101539/4194304, -1101539/4194304], [-1/4194304, -\
1/4194304]]]], [[2, 5, 8, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0
, And(u^2-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-1101539/
4194304, -1101539/4194304], [537365/1048576, 268683/524288]]]], [[2, 5, 8, 5,
5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, And(u^2-3 < y,y < 0), (-y)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [0, 0], [-1101539/4194304, -1101539/4194304], [2,
2]]]], [[2, 5, 11, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 1 < x, 0 < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [2, 2], [1, 1], [0, 0]]]], [[2, 8, 1, 4, 1], [v =
-2^(1/2), u = -1, x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [1, 1], [-3, -3]]]], [[2, 8, 1,
4, 2], [v = -2^(1/2), u = -1, x < -2, y = -x-2, z = -2^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[2, 8, 1, 4, 3], [v = -2^(1/2), u = -1, x < -2,
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-3, -3], [1, 1], [0, 0]]]], [[2, 8, 1, 4, 4], [v =
-2^(1/2), u = -1, x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3, -3], [1, 1], [741455/524288, 1482911/
1048576]]]], [[2, 8, 1, 4, 5], [v = -2^(1/2), u = -1, x < -2, y = -x-2, 2^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3, -3
], [1, 1], [3, 3]]]], [[2, 13, 7, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), And
(-u^2+1 < x,x < 0), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655
/1048576, -239655/1048576], [-1378187/1048576, -689093/524288], [-3, -3]]]], [
[2, 13, 7, 2, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y =
u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576
], [-1378187/1048576, -689093/524288], [-1302471/1048576, -651235/524288]]]],
[[2, 13, 7, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y
= u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-239655
/1048576, -239655/1048576], [-1378187/1048576, -689093/524288], [0, 0]]]], [[2
, 13, 7, 2, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y = u
^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576
], [-1378187/1048576, -689093/524288], [651235/524288, 1302471/1048576]]]], [[
2, 13, 7, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-u^2+1 < x,x < 0), y =
u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576
], [-1378187/1048576, -689093/524288], [3, 3]]]], [[2, 15, 7, 6, 1], [v = -2^(
1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-275385/1048576, -275385/1048576], [0, 0], [-2, -2]]]], [[2, 15, 7
, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [0, 0],
[-268683/524288, -1074731/2097152]]]], [[2, 15, 7, 6, 3], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152
, 3299097/2097152], [-275385/1048576, -275385/1048576], [0, 0], [-1/4194304, -\
1/4194304]]]], [[2, 15, 7, 6, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(
u^2-3 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385
/1048576], [0, 0], [537365/1048576, 268683/524288]]]], [[2, 15, 7, 6, 5], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = 0, (-x)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [0, 0], [2, 2]]]], [[2,
19, 6, 6, 1], [v = -2^(1/2), 2 < u, x = 0, y = u^2-3, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [0, 0], [6, 6], [0, 0]]]], [[3, 2
, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, And(-x-3 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [5/2, 5/2], [-3, -3]
]]], [[3, 2, 1, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3,
And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [5/2, 5/2],
[-1284239/1048576, -642119/524288]]]], [[3, 2, 1, 5, 3], [And(-2^(1/2) < v,v <
-1), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-4, -4], [5/2, 5/2], [0, 0]]]], [[3, 2, 1
, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3899297/2097152, -7798593/4194304], [-4, -4], [5/2, 5/2], [642119/524288,
1284239/1048576]]]], [[3, 2, 1, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4,
-4], [5/2, 5/2], [3, 3]]]], [[3, 7, 9, 1, 1], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[3, 7, 9, 1, 2], [And(-2
^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v
^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-4, -4], [-\
7846825/4194304, -980853/524288]]]], [[3, 7, 9, 1, 3], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-4, -4], [0, 0]]
]], [[3, 7, 9, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2))
, And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2
, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[3, 7, 9, 1, 5], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2
-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-4, -4], [3, 3]]]
], [[3, 9, 7, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [239655/2097152, 239655/2097152], [0, 0]]]], [[3, 17, 6, 2, 1
], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [0, 0], [-4478937/524288, -8957873/1048576], [-4, -4]]]], [[3, 17, 6, 2, 2
], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [0, 0], [-4478937/524288, -8957873/1048576], [-1532401/524288, -24518415/
8388608]]]], [[3, 17, 6, 2, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0], [-\
4478937/524288, -8957873/1048576], [-7/16777216, -7/16777216]]]], [[3, 17, 6,
2, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [0, 0], [-4478937/524288, -8957873/1048576], [3064801/1048576, 1532401/
524288]]]], [[3, 17, 6, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x
= 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [0, 0], [-4478937/524288, -8957873/1048576
], [4, 4]]]], [[4, 2, 1, 1, 1], [v = -1, u = -3^(1/2), x < -3, y < 0, z < -(-x
-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [
-4, -4], [-1, -1], [-4, -4]]]], [[4, 2, 1, 1, 2], [v = -1, u = -3^(1/2), x < -\
3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[
4, 2, 1, 1, 3], [v = -1, u = -3^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [-1, -1], [0, 0]]]], [[4, 2, 1, 1, 4], [v = -1, u = -3^(1/
2), x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536
]]]], [[4, 2, 1, 1, 5], [v = -1, u = -3^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z
], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-4, -4],
[-1, -1], [4, 4]]]], [[4, 7, 8, 2, 1], [v = -1, And(-1 < u,u < 0), x = 0, y =
u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0],
[-7/4, -7/4], [-3, -3]]]], [[4, 7, 8, 2, 2], [v = -1, And(-1 < u,u < 0), x = 0
, y = u^2-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0
, 0], [-7/4, -7/4], [-10837/8192, -1387135/1048576]]]], [[4, 7, 8, 2, 3], [v =
-1, And(-1 < u,u < 0), x = 0, y = u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^
(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-7/4, -7/4], [0, 0]
]]], [[4, 7, 8, 2, 4], [v = -1, And(-1 < u,u < 0), x = 0, y = u^2-2, z = (-u^2
+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [0, 0], [-7/4, -7/4], [
1387135/1048576, 10837/8192]]]], [[4, 7, 8, 2, 5], [v = -1, And(-1 < u,u < 0),
x = 0, y = u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [0, 0], [-7/4, -7/4], [3, 3]]]], [[4, 9, 7, 1, 1], [v = -1, And(0 < u,u < 1)
, And(-u^2 < x,x < 0), y < u^2-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1/8, -1/8], [-3, -3], [-3, -3]]]], [[4, 9, 7, 1, 2], [v = -\
1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y < u^2-x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-3, -3], [-7414553/
4194304, -926819/524288]]]], [[4, 9, 7, 1, 3], [v = -1, And(0 < u,u < 1), And(
-u^2 < x,x < 0), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-3, -3], [0, 0]]]], [[4,
9, 7, 1, 4], [v = -1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y < u^2-x-2, z =
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/8, -1/8], [-3, -3],
[926819/524288, 1853639/1048576]]]], [[4, 9, 7, 1, 5], [v = -1, And(0 < u,u <
1), And(-u^2 < x,x < 0), y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1/8, -1/8], [-3, -3], [3, 3]]]], [[4, 13, 10, 1, 1], [v = -\
1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y < -u^2-1, z < -(-y-1)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [-5, -5]
, [-3, -3]]]], [[4, 13, 10, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x =
1, y < -u^2-1, z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152
, 3299097/2097152], [1, 1], [-5, -5], [-2, -2]]]], [[4, 13, 10, 1, 3], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (
-y-1)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[1, 1], [-5, -5], [0, 0]]]], [[4, 13, 10, 1, 4], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [1, 1], [-5, -5], [2, 2]]]], [[4, 13, 10, 1
, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y < -u^2-1, (-y-1)^(1/2) <
z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [-5
, -5], [3, 3]]]], [[4, 15, 6, 7, 1], [v = -1, 3^(1/2) < u, x = 0, u^2-2 < y, z
= z], [regular_chain, [[-1, -1], [3, 3], [0, 0], [8, 8], [0, 0]]]], [[5, 5, 8,
3, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-\
1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [-1, -1], [-2, -2]]]], [[5, 5, 8,
3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-\
1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [-1, -1], [-1, -1]]]], [[5, 5, 8,
3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-\
1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-1, -1], [0, 0]]]]
, [[5, 5, 8, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0,
And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-1, -1], [1, 1]]]], [[5, 5
, 8, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2
+v^2-1 < y,y < u^2-v^2-1), (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [-1, -1], [2, 2]]]], [[5, 7, 8, 7,
1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, 0 < y, z = z], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[5, 8, 1, 4,
1], [And(-1 < v,v < 0), u = -v, x < -1, y = -1-x, z < -1], [regular_chain, [[-\
1/2, -1/2], [1/2, 1/2], [-2, -2], [1, 1], [-2, -2]]]], [[5, 8, 1, 4, 2], [And(
-1 < v,v < 0), u = -v, x < -1, y = -1-x, z = -1], [regular_chain, [[-1/2, -1/2
], [1/2, 1/2], [-2, -2], [1, 1], [-1, -1]]]], [[5, 8, 1, 4, 3], [And(-1 < v,v
< 0), u = -v, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1
/2], [1/2, 1/2], [-2, -2], [1, 1], [0, 0]]]], [[5, 8, 1, 4, 4], [And(-1 < v,v
< 0), u = -v, x < -1, y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1
/2], [-2, -2], [1, 1], [1, 1]]]], [[5, 8, 1, 4, 5], [And(-1 < v,v < 0), u = -v
, x < -1, y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2
], [1, 1], [2, 2]]]], [[5, 10, 2, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2)
, x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-2, -2], [-1, -1], [-3, -3]]]], [[5, 10, 2, 1, 2], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [-1,
-1], [-1816187/1048576, -3632373/2097152]]]], [[5, 10, 2, 1, 3], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [
-1, -1], [-1/4194304, -1/4194304]]]], [[5, 10, 2, 1, 4], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[-1/2, -1/2
], [1172343/1048576, 146543/131072], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[5, 10, 2, 1, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-2, -2], [-1, -1], [3, 3]]]], [[6, 2, 3, 4, 1], [v =
0, u = -2^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-3, -3]]]], [[
6, 2, 3, 4, 2], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/
2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [0
, 0], [-1482911/1048576, -741455/524288]]]], [[6, 2, 3, 4, 3], [v = 0, u = -2^
(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0],
[0, 0]]]], [[6, 2, 3, 4, 4], [v = 0, u = -2^(1/2), And(-3 < x,x < -1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 2, 3, 4, 5], [v =
0, u = -2^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [
[0, 0], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [3, 3]]]], [[6,
3, 11, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [2, 2], [-3385383/1048576, -3385383/1048576], [-3, -3]]]], [[6, 3, 
11, 3, 2], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x-1 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [2, 2], [-3385383/1048576, -3385383/1048576], [-1162243/1048576, -\
581121/524288]]]], [[6, 3, 11, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x,
And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
3385383/1048576, -3385383/1048576], [0, 0]]]], [[6, 3, 11, 3, 4], [v = 0, And(
-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
3385383/1048576, -3385383/1048576], [581121/524288, 1162243/1048576]]]], [[6,
3, 11, 3, 5], [v = 0, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x-1 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [2, 2], [-3385383/1048576, -3385383/1048576], [3, 3]]]], [[6, 8, 3,
7, 1], [v = 0, u = 1, And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[0,
0], [1, 1], [-3/2, -3/2], [3, 3], [0, 0]]]], [[6, 10, 1, 9, 1], [v = 0, u = 2^
(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-4, -4], [6, 6], [0, 0]]]], [[7, 4, 1, 5, 1], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3], [2,
2], [-2, -2]]]], [[7, 4, 1, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x <
-2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[7, 4, 1, 5,
3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3, -3], [2, 2], [0, 0]]]], [[7, 4, 1, 5, 4], [And
(0 < v,v < 1), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3, -3
], [2, 2], [1, 1]]]], [[7, 4, 1, 5, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [-3, -3], [2, 2], [2, 2]]]], [[7, 5, 11, 4
, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-\
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [2, 2], [-2721571/1048576, -5443141/2097152], [-2, -2]]]], [
[7, 5, 11, 4, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y
= u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-2721571/1048576, -5443141/
2097152], [-1618333/2097152, -3236665/4194304]]]], [[7, 5, 11, 4, 3], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v
^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-2721571/1048576, -5443141/
2097152], [-1/8388608, -1/8388608]]]], [[7, 5, 11, 4, 4], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [2, 2],
[-2721571/1048576, -5443141/2097152], [404583/524288, 809167/1048576]]]], [[7,
5, 11, 4, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^
2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-2721571/1048576, -5443141/2097152], [2,
2]]]], [[7, 13, 11, 4, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x
, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-9, -9], [-1,
-1]]]], [[7, 13, 11, 4, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 <
x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-9, -9], [0,
0]]]], [[7, 13, 11, 4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x
, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [9, 9], [-9, -9], [1, 1
]]]], [[8, 2, 6, 5, 1], [v = 1, u = -3^(1/2), x = 0, And(0 < y,y < 1), z = z],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [0, 0], [1/2, 1
/2], [0, 0]]]], [[8, 8, 3, 1, 1], [v = 1, u = 0, And(-2 < x,x < -1), y < -x-2,
z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-2, -2], [
-3, -3]]]], [[8, 8, 3, 1, 2], [v = 1, u = 0, And(-2 < x,x < -1), y < -x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-2, -2], [-\
7846825/4194304, -980853/524288]]]], [[8, 8, 3, 1, 3], [v = 1, u = 0, And(-2 <
x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1, 1], [0, 0], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[8, 8, 3, 1, 4], [v = 1,
u = 0, And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1
], [0, 0], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[8, 8
, 3, 1, 5], [v = 1, u = 0, And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[8, 10, 1,
7, 1], [v = 1, u = 1, x < -1, -x < y, z = z], [regular_chain, [[1, 1], [1, 1],
[-2, -2], [3, 3], [0, 0]]]], [[8, 14, 4, 1, 1], [v = 1, u = 3^(1/2), x = -1, y
< -2, z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[8, 14, 4, 1, 2], [v = 1, u = 3^(1
/2), x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[8, 14, 4, 1, 3],
[v = 1, u = 3^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [-3, -3],
[0, 0]]]], [[8, 14, 4, 1, 4], [v = 1, u = 3^(1/2), x = -1, y < -2, z = (1-y)^(
1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1, -1], [-\
3, -3], [2, 2]]]], [[8, 14, 4, 1, 5], [v = 1, u = 3^(1/2), x = -1, y < -2, (1-
y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1,
-1], [-3, -3], [3, 3]]]], [[9, 1, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2
+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [
763943/524288, 1527887/1048576], [-4, -4]]]], [[9, 1, 1, 4, 2], [And(1 < v,v <
2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10
, -10], [763943/524288, 1527887/1048576], [-1532401/524288, -24518415/8388608]
]]], [[9, 1, 1, 4, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v
^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [
763943/524288, 1527887/1048576], [-7/16777216, -7/16777216]]]], [[9, 1, 1, 4,
4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-
x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 1, 4, 5], [And(1 < v,v < 2^(1/2)), u < -(
v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10, -10], [
763943/524288, 1527887/1048576], [4, 4]]]], [[9, 6, 3, 2, 1], [And(1 < v,v < 2
^(1/2)), u = -v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [-1/2, -1/2], [-2, -2]]]], [[9, 6, 3, 2, 2], [And(1 < v,v < 2^(1/2)),
u = -v, And(-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2],
[-1/2, -1/2], [-1, -1]]]], [[9, 6, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u = -v,
And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2],
[-1/2, -1/2], [0, 0]]]], [[9, 6, 3, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, 
And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/2, -\
1/2], [1, 1]]]], [[9, 6, 3, 2, 5], [And(1 < v,v < 2^(1/2)), u = -v, And(-1 < x
,x < 0), y = -1-x, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]],
[[9, 8, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(-1
< y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1/2, -1/2], [-3, -3]
]]], [[9, 8, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, 
And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1/2, -1/2],
[-1284239/1048576, -642119/524288]]]], [[9, 8, 4, 3, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[9, 8, 4, 3, 4],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/
1048576]]]], [[9, 8, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1/2, -1/2],
[3, 3]]]], [[9, 8, 8, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x =
1, y = -3, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1417877/2097152, -354469/524288], [1, 1], [-3, -3], [-3, -3]]]], [[9, 8, 8,
2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y = -3, z = -2^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[9,
8, 8, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y = -3, And(-
2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [1, 1], [-3, -3], [0, 0]]]], [[9, 8, 8,
2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y = -3, z = 2^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[9, 8,
8, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y = -3, 2^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152,
-354469/524288], [1, 1], [-3, -3], [3, 3]]]], [[9, 10, 7, 3, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[9, 10, 7, 3,
2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]
]], [[9, 10, 7, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x
< 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[9, 10, 7, 3, 4], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[9, 10, 7, 3, 5
], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [354469/524288, 708939/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[9,
16, 3, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1),
y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[9, 16, 3, 6, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 16, 3, 6, 3], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[2, 2], [1, 1]]]], [[9, 17, 11, 9, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [8, 8], [1, 1], [0, 0]]]], [[10, 4, 8, 3, 1], [v = 2^(1/2),
u = -3^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [1, 1]
, [-2, -2], [-2, -2]]]], [[10, 4, 8, 3, 2], [v = 2^(1/2), u = -3^(1/2), x = 1,
And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [-2, -2], [-1,
-1]]]], [[10, 4, 8, 3, 3], [v = 2^(1/2), u = -3^(1/2), x = 1, And(-3 < y,y < -\
1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-1816187/1048576, -3632373/2097152], [1, 1], [-2, -2], [0,
0]]]], [[10, 4, 8, 3, 4], [v = 2^(1/2), u = -3^(1/2), x = 1, And(-3 < y,y < -1
), z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [1, 1], [-2, -2], [1, 1]]]], [[10, 4, 8, 3
, 5], [v = 2^(1/2), u = -3^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-2, -2], [2, 2]]]], [[10, 6, 7, 4, 1], [v = 2^(1/2)
, u = -v, 1 < x, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1, -1]]]], [
[10, 6, 7, 4, 2], [v = 2^(1/2), u = -v, 1 < x, y = -x, z = 0], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [2, 2],
[-2, -2], [0, 0]]]], [[10, 6, 7, 4, 3], [v = 2^(1/2), u = -v, 1 < x, y = -x, 0
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [2, 2], [-2, -2], [1, 1]]]], [[10, 12, 1, 7, 1], [v = 2^(1/2),
u = 1, x < -2, -x < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3, -3], [4, 4], [0, 0]]]], [[10, 14, 1, 1, 1], [v = 2^(1/2
), u = v, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-3, -\
3]]]], [[10, 14, 1, 1, 2], [v = 2^(1/2), u = v, x < -1, y < 0, z = -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]],
[[10, 14, 1, 1, 3], [v = 2^(1/2), u = v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[
10, 14, 1, 1, 4], [v = 2^(1/2), u = v, x < -1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[10, 14, 1
, 1, 5], [v = 2^(1/2), u = v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-2, -2
], [-1, -1], [3, 3]]]], [[11, 2, 6, 1, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x
= 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [0, 0], [-4, -4], [-3, -3]]]], [[11, 2, 6, 1, 2], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[3, 3
], [-1738867/524288, -3477733/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[11, 2
, 6, 1, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, y < -3, And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [0, 0], [-4, -4], [0, 0]]]], [[11, 2, 6, 1, 4], [2^(1/2) < v, u = -(
v^2+2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [0, 0], [-4, -4], [2, 2]]]], [[11, 2, 6, 1,
5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [0, 0], [-4, -4],
[3, 3]]]], [[11, 4, 4, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, And(-1
< y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[11, 4, 4, 3, 2], [2^(1/2
) < v, u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [-1/2, -1
/2], [-1284239/1048576, -642119/524288]]]], [[11, 4, 4, 3, 3], [2^(1/2) < v, u
= -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1
/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1, -1], [
-1/2, -1/2], [0, 0]]]], [[11, 4, 4, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x
= -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/
1048576]]]], [[11, 4, 4, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -1, And(
-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[11, 10, 1, 1, 1], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x < -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4], [-1, -1], [-4, -4]]]],
[[11, 10, 1, 1, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y < 0, z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4,
-4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[11, 10, 1, 1, 3], [2^(1
/2) < v, u = -(v^2-2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4
], [-1, -1], [0, 0]]]], [[11, 10, 1, 1, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2),
x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[
11, 10, 1, 1, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x < -3, y < 0, (-x-y)^(1/2
) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-4, -4
], [-1, -1], [4, 4]]]], [[11, 11, 9, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y = -x, z < 0], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-9/2, -9/2], [-1, -1]]]], [[11, 
11, 9, 4, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 <
x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2]
, [-9/2, -9/2], [0, 0]]]], [[11, 11, 9, 4, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2
) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [
regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-9/2, -9/2], [1, 1]]]], [[11, 15,
8, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [0, 0], [-129143/262144, -516571/1048576], [-2, -2]]]], [[11, 15, 8,
4, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [0, 0], [-129143/262144, -516571/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[11, 15, 8, 4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [0, 0], [-\
129143/262144, -516571/1048576], [-1/4194304, -1/4194304]]]], [[11, 15, 8, 4,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[0, 0], [-129143/262144, -516571/1048576], [367989/524288, 735979/1048576]]]],
[[11, 15, 8, 4, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 0, y = -u^
2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [0, 0], [-129143/262144, -516571/1048576], [2, 2]]]], [[11,
17, 9, 5, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144], [
-2, -2]]]], [[11, 17, 9, 5, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-197471/
262144, -197471/262144], [-527729/1048576, -1055457/2097152]]]], [[11, 17, 9,
5, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v
^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [1/2, 1/2], [-197471/262144, -197471/
262144], [-1/4194304, -1/4194304]]]], [[11, 17, 9, 5, 4], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1/2, 1/2
], [-197471/262144, -197471/262144], [32983/65536, 527729/1048576]]]], [[11, 
17, 9, 5, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144], [
2, 2]]]], [[1, 4, 8, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, y = -1,
z < 0], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1],
[-1, -1], [-1, -1]]]], [[1, 4, 8, 4, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x
= 1, y = -1, z = 0], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [1, 1], [-1, -1], [0, 0]]]], [[1, 4, 8, 4, 3], [v < -2^(1/2), u = -(v^
2+1)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [-1, -1], [1, 1]]]], [[1, 6, 1, 7, 1], [v < -
2^(1/2), u = v, x < -1, -x < y, z = z], [regular_chain, [[-3, -3], [-3, -3], [
-2, -2], [3, 3], [0, 0]]]], [[1, 12, 3, 8, 1], [v < -2^(1/2), u = (v^2-2)^(1/2
), And(-3 < x,x < -1), y = 1-x, z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-2, -2], [3, 3], [0, 0]]]], [[1, 13, 7, 9, 1], [v < -2^
(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), -u
^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [2, 2], [0, 0]]]], [[1, 18, 1, 5, 1],
[v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [2
, 2], [-2, -2]]]], [[1, 18, 1, 5, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2
, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243
/65536, 3315889/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[1, 18, 1, 5, 3], [v
< -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3, -3], [2, 2], [0, 0]]]], [[1, 18, 1, 5, 4], [v < -2^(1/2), u = (
v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [2, 2], [1, 1]]]], [[1,
18, 1, 5, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[-3, -3], [2, 2], [2, 2]]]], [[1, 19, 7, 6, 1], [v < -2^(1/2), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = 0, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [0, 0], [0, 0]]]], [[2, 4, 2, 2, 1], [v = -2^(1/2), u = -3^(1/
2), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [-3, -3]]]],
[[2, 4, 2, 2, 2], [v = -2^(1/2), u = -3^(1/2), x = -2, y = 0, z = -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[2
, 4, 2, 2, 3], [v = -2^(1/2), u = -3^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-2, -2], [0, 0], [0, 0]]]], [[2, 4, 2, 2, 4], [v
= -2^(1/2), u = -3^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -\
2], [0, 0], [741455/524288, 1482911/1048576]]]], [[2, 4, 2, 2, 5], [v = -2^(1/
2), u = -3^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [0,
0], [3, 3]]]], [[2, 5, 8, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0
, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-3, -3], [-3, -3]]]],
[[2, 5, 8, 1, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, y < -u^2+1, z
= -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195
/4194304, -6598195/4194304], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[2, 5, 8, 1, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0,
y < -u^2+1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-3, -\
3], [-1/4194304, -1/4194304]]]], [[2, 5, 8, 1, 4], [v = -2^(1/2), And(-3^(1/2)
< u,u < v), x = 0, y < -u^2+1, z = (-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-3, -\
3], [908093/524288, 1816187/1048576]]]], [[2, 5, 8, 1, 5], [v = -2^(1/2), And(
-3^(1/2) < u,u < v), x = 0, y < -u^2+1, (-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0]
, [-3, -3], [3, 3]]]], [[2, 6, 1, 4, 1], [v = -2^(1/2), u = v, x < -1, y = -1-
x, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [-2, -2]]]], [[2, 6, 1, 4, 2], [v
= -2^(1/2), u = v, x < -1, y = -1-x, z = -1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1]
, [-1, -1]]]], [[2, 6, 1, 4, 3], [v = -2^(1/2), u = v, x < -1, y = -1-x, And(-\
1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [0, 0]]]], [[2, 6, 1, 4, 4], [v =
-2^(1/2), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [1, 1]]
]], [[2, 6, 1, 4, 5], [v = -2^(1/2), u = v, x < -1, y = -1-x, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-2, -2], [1, 1], [2, 2]]]], [[2, 7, 9, 3, 1], [v = -2^(1/2), And(v
< u,u < -1), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608], [-2, -2]
]]], [[2, 7, 9, 3, 2], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And
(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
12582911/8388608, -12582911/8388608], [-16777215/16777216, -8796092497919/
8796093022208]]]], [[2, 7, 9, 3, 3], [v = -2^(1/2), And(v < u,u < -1), And(0 <
x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608], [-\
7864319/17592186044416, -7864319/17592186044416]]]], [[2, 7, 9, 3, 4], [v = -2
^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/
8388608], [1048575/1048576, 1]]]], [[2, 7, 9, 3, 5], [v = -2^(1/2), And(v < u,
u < -1), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608], [2, 2]]]
], [[2, 13, 9, 6, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y =
-x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 13, 9,
6, 2], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[2, 13, 9, 6, 3], [v = -2^(1/2
), And(1 < u,u < -v), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/
2], [-1/2, -1/2], [1, 1]]]], [[2, 15, 6, 1, 1], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [-2, -2], [-3, -3]]]], [[2, 15, 6, 1, 2], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y < -2*u^2+4, z = -(-u^2-y+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1101541/2097152, -275385/524288], [-2, -2], [-833149/
524288, -3332595/2097152]]]], [[2, 15, 6, 1, 3], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1101541/2097152, -275385/524288], [-2, -2], [-1/4194304, -\
1/4194304]]]], [[2, 15, 6, 1, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x =
u^2-3, y < -2*u^2+4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -\
275385/524288], [-2, -2], [1666297/1048576, 833149/524288]]]], [[2, 15, 6, 1,
5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y < -2*u^2+4, (-u^2-y+3
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-2, -2], [3, 3
]]]], [[2, 19, 7, 3, 1], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(-u^2-x+1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1/2, 1/2], [-9/2, -9/2], [-3, -3]]]], [[2, 19, 7, 3, 2], [v
= -2^(1/2), 2 < u, And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2],
[-9/2, -9/2], [-2, -2]]]], [[2, 19, 7, 3, 3], [v = -2^(1/2), 2 < u, And(0 < x,
x < 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-9/2,
-9/2], [0, 0]]]], [[2, 19, 7, 3, 4], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), 
And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [1/2, 1/2], [-9/2, -9/2], [2, 2]]]], [[2, 19
, 7, 3, 5], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3]
, [1/2, 1/2], [-9/2, -9/2], [3, 3]]]], [[3, 1, 9, 2, 1], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3
], [7909297/2097152, 7909297/2097152], [-6456261/524288, -12912521/1048576], [
-4, -4]]]], [[3, 1, 9, 2, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), 
And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [-6456261/524288, -12912521/1048576], [-1532401/
524288, -24518415/8388608]]]], [[3, 1, 9, 2, 3], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-6456261/
524288, -12912521/1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 9, 2, 4], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u
^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-6456261/
524288, -12912521/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 1, 9, 2
, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1),
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-6456261/
524288, -12912521/1048576], [4, 4]]]], [[3, 7, 11, 3, 1], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-
x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [2, 2], [-3, -3], [-2, -2]]]], [[3, 7
, 11, 3, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x,
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [-3, -3], [-1, -1]]]], [[3, 7, 11, 3, 3], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-3, -3], [0,
0]]]], [[3, 7, 11, 3, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1
/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-3, -3], [1, 1]]]], [[3, 7, 11, 3, 5], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -
u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-3, -3], [2, 2]]]], [
[3, 9, 6, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-2576463/1048576, -\
1288231/524288], [-3, -3]]]], [[3, 9, 6, 2, 2], [And(-2^(1/2) < v,v < -1), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0
], [-2576463/1048576, -1288231/524288], [-410915/262144, -3287319/2097152]]]],
[[3, 9, 6, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0],
[-2576463/1048576, -1288231/524288], [-1/4194304, -1/4194304]]]], [[3, 9, 6, 2
, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x
= 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [-2576463/1048576, -1288231/524288
], [1643659/1048576, 410915/262144]]]], [[3, 9, 6, 2, 5], [And(-2^(1/2) < v,v
< -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+
v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [0, 0], [-2576463/1048576, -1288231/524288], [3, 3]]]], [[3, 17, 7, 7, 1],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [1/2, 1/2], [6336433/2097152, 6336433/2097152], [0, 0]]]], [[4, 1, 9, 6
, 1], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), y = 0, z = z], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [0, 0], [0, 0]]]], [[4, 7, 11, 5,
1], [v = -1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-17/8, -17/8], [-2, -2]
]]], [[4, 7, 11, 5, 2], [v = -1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-17
/8, -17/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 11, 5, 3], [v = -1, 
And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-17/8, -17/8],
[0, 0]]]], [[4, 7, 11, 5, 4], [v = -1, And(-1 < u,u < 0), 1 < x, And(-u^2-x <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2],
[-17/8, -17/8], [370727/1048576, 46341/131072]]]], [[4, 7, 11, 5, 5], [v = -1,
And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-17/8, -17/8], [2, 2]]]], [[4
, 9, 6, 4, 1], [v = -1, And(0 < u,u < 1), x = -u^2, y = 0, z < -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [-2, -2]]]], [[4,
9, 6, 4, 2], [v = -1, And(0 < u,u < 1), x = -u^2, y = 0, z = -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [-1/2, -1/2]]]], [
[4, 9, 6, 4, 3], [v = -1, And(0 < u,u < 1), x = -u^2, y = 0, And(-u < z,z < u)
], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [0, 0]]]], [[4
, 9, 6, 4, 4], [v = -1, And(0 < u,u < 1), x = -u^2, y = 0, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [1/2, 1/2]]]], [[4
, 9, 6, 4, 5], [v = -1, And(0 < u,u < 1), x = -u^2, y = 0, u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [2, 2]]]], [[4, 13
, 11, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -x, z < 0], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [-2, -2]
, [-1, -1]]]], [[4, 13, 11, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 <
x, y = -x, z = 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [2, 2], [-2, -2], [0, 0]]]], [[4, 13, 11, 4, 3], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-1, -1], [3299097
/2097152, 3299097/2097152], [2, 2], [-2, -2], [1, 1]]]], [[4, 15, 4, 5, 1], [v
= -1, 3^(1/2) < u, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain
, [[-1, -1], [3, 3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[4, 15, 4, 5, 2], [v
= -1, 3^(1/2) < u, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain
, [[-1, -1], [3, 3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]
]]], [[4, 15, 4, 5, 3], [v = -1, 3^(1/2) < u, x = -1, And(0 < y,y < 1), And(-(
1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-1, -1],
[1/2, 1/2], [0, 0]]]], [[4, 15, 4, 5, 4], [v = -1, 3^(1/2) < u, x = -1, And(0
< y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [1/
2, 1/2], [741455/1048576, 46341/65536]]]], [[4, 15, 4, 5, 5], [v = -1, 3^(1/2)
< u, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [3
, 3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[5, 5, 11, 6, 1], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = -x, z < 0], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-2, -2], [-1, -1]]]], [[
5, 5, 11, 6, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y =
-x, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152
], [2, 2], [-2, -2], [0, 0]]]], [[5, 5, 11, 6, 3], [And(-1 < v,v < 0), And(-(v
^2+1)^(1/2) < u,u < v), 1 < x, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [2, 2], [-2, -2], [1, 1]]]], [[5, 7, 8,
3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^
2+v^2-1), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-1
, -1], [-2, -2]]]], [[5, 7, 8, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x
= 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [0, 0], [0, 0], [-1, -1], [-1, -1]]]], [[5, 7, 8, 3, 3], [And(-1 <
v,v < 0), And(v < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-
y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0],
[-1, -1], [0, 0]]]], [[5, 7, 8, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v),
x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = (-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [0, 0], [0, 0], [-1, -1], [1, 1]]]], [[5, 7, 8, 3, 5], [And(-1 < v
,v < 0), And(v < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-1, -1], [2, 2]]]], [
[5, 8, 2, 1, 1], [And(-1 < v,v < 0), u = -v, x = -1, y < 0, z < -(1-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [-1, -1], [-3, -3]]]], [[
5, 8, 2, 1, 2], [And(-1 < v,v < 0), u = -v, x = -1, y < 0, z = -(1-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [-1, -1], [-1482911/
1048576, -741455/524288]]]], [[5, 8, 2, 1, 3], [And(-1 < v,v < 0), u = -v, x =
-1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [1/2, 1/2], [-1, -1], [-1, -1], [0, 0]]]], [[5, 8, 2, 1, 4], [And(-1 < v,v
< 0), u = -v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1/2, 1/2], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[5, 8, 2
, 1, 5], [And(-1 < v,v < 0), u = -v, x = -1, y < 0, (1-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [-1, -1], [3, 3]]]], [[5,
9, 9, 7, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[6, 2, 5, 6, 1], [v
= 0, u = -2^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[6
, 2, 5, 6, 2], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/2
, 1/2], [0, 0]]]], [[6, 2, 5, 6, 3], [v = 0, u = -2^(1/2), And(-1 < x,x < 0),
y = -x, 0 < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [
-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[6, 3, 9, 9, 1], [v = 0, And(-2^(1/2) < u
,u < -1), And(u^2-1 < x,x < 1), 0 < y, z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [1, 1]
, [0, 0]]]], [[6, 8, 4, 4, 1], [v = 0, u = 1, x = -1, y = 0, z < -1], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [0, 0], [-2, -2]]]], [[6, 8, 4, 4, 2
], [v = 0, u = 1, x = -1, y = 0, z = -1], [regular_chain, [[0, 0], [1, 1], [-1
, -1], [0, 0], [-1, -1]]]], [[6, 8, 4, 4, 3], [v = 0, u = 1, x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [0, 0], [0, 0]]
]], [[6, 8, 4, 4, 4], [v = 0, u = 1, x = -1, y = 0, z = 1], [regular_chain, [[
0, 0], [1, 1], [-1, -1], [0, 0], [1, 1]]]], [[6, 8, 4, 4, 5], [v = 0, u = 1, x
= -1, y = 0, 1 < z], [regular_chain, [[0, 0], [1, 1], [-1, -1], [0, 0], [2, 2]
]]], [[6, 9, 9, 8, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y
= 0, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
1527887/2097152, 1527887/2097152], [0, 0], [0, 0]]]], [[7, 4, 4, 6, 1], [And(0
< v,v < 1), u = -(v^2+1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[1/2,
1/2], [-146543/131072, -1172343/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[7,
4, 4, 6, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [1,
1], [0, 0]]]], [[7, 4, 4, 6, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1
, y = 1, 0 < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [1, 1], [1, 1]]]], [[7, 5, 10, 1, 1], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-4,
-4], [-3, -3]]]], [[7, 5, 10, 1, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u
,u < -v), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/
2], [-1696631/2097152, -1696631/2097152], [1, 1], [-4, -4], [-1816187/1048576,
-3632373/2097152]]]], [[7, 5, 10, 1, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-4
, -4], [-1/4194304, -1/4194304]]]], [[7, 5, 10, 1, 4], [And(0 < v,v < 1), And(
-(v^2+1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-4,
-4], [908093/524288, 1816187/1048576]]]], [[7, 5, 10, 1, 5], [And(0 < v,v < 1)
, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-4,
-4], [3, 3]]]], [[8, 1, 1, 7, 1], [v = 1, u < -3^(1/2), x < -u^2, And(-x < y,y
< u^2-x-2), z = z], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [27/2, 27/2
], [0, 0]]]], [[8, 2, 4, 3, 1], [v = 1, u = -3^(1/2), x = -1, And(-2 < y,y < 0
), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [-1, -1], [-3, -3]]]], [[8, 2, 4, 3, 2], [v = 1, u = -3^(1
/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[8, 2, 4, 3, 3], [v = 1, u = -3^(1/2), x = -1, And(-2 < y,
y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [0, 0]]]], [[8, 2, 4,
3, 4], [v = 1, u = -3^(1/2), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1, -\
1], [741455/524288, 1482911/1048576]]]], [[8, 2, 4, 3, 5], [v = 1, u = -3^(1/2
), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [3, 3]]]], [[8, 8, 7,
3, 1], [v = 1, u = 0, And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[
8, 8, 7, 3, 2], [v = 1, u = 0, And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-1, -\
1]]]], [[8, 8, 7, 3, 3], [v = 1, u = 0, And(0 < x,x < 1), And(-x-2 < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [0, 0], [
1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[8, 8, 7, 3, 4], [v = 1, u = 0, And(0 < x
,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [0,
0], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[8, 8, 7, 3, 5], [v = 1, u = 0, And(
0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1]
, [0, 0], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[8, 10, 1, 3, 1], [v = 1, u =
1, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
1, 1], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[8, 10, 1, 3, 2], [v = 1, u = 1, x
< -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1]
, [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[8, 10, 1, 3,
3], [v = 1, u = 1, x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1/2, 1/2], [0, 0]]]],
[[8, 10, 1, 3, 4], [v = 1, u = 1, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2
)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1/2, 1/2], [642119/524288, 
1284239/1048576]]]], [[8, 10, 1, 3, 5], [v = 1, u = 1, x < -1, And(0 < y,y < -\
1-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [-2, -2], [1/2, 1/2]
, [3, 3]]]], [[8, 14, 5, 4, 1], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y = 0,
z < -(-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [
-1/2, -1/2], [0, 0], [-2, -2]]]], [[8, 14, 5, 4, 2], [v = 1, u = 3^(1/2), And(
-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[8, 14, 5, 4, 3], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[8, 14, 5, 4, 4], [v = 1,
u = 3^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1
], [908093/524288, 1816187/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 
46341/65536]]]], [[8, 14, 5, 4, 5], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y
= 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [-1/2, -1/2], [0, 0], [2, 2]]]], [[8, 15, 9, 9, 1], [v = 1, 3^(1/2) < u, 
And(1 < x,x < u^2-2), u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [3, 3], [4
, 4], [4, 4], [0, 0]]]], [[9, 6, 7, 4, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1
< x, y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[9, 6, 7,
4, 2], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = -x, z = 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-2, -2], [0, 0]]]], [[9, 6, 7, 4, 3], [And(1 < v,v < 2^(1/2)), u = -v, 1
< x, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[9, 8, 3, 6,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, z
< 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152,
-354469/524288], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[9, 8, 3, 6, 2], [And
(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[9, 8, 3, 6, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[9, 8, 8, 6, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1],
[0, 0], [0, 0]]]], [[9, 10, 3, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/
2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/
2], [-2, -2], [-3, -3]]]], [[9, 10, 3, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^
2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -\
3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[9, 10, 3, 1, 3], [And
(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-2, -2], [0, 0]]]],
[[9, 10, 3, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x <
-1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-2, -2], [980853/
524288, 1961707/1048576]]]], [[9, 10, 3, 1, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -\
3/2], [-2, -2], [3, 3]]]], [[9, 16, 5, 8, 1], [And(1 < v,v < 2^(1/2)), u = (v^
2+2)^(1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [3/2
, 3/2], [0, 0]]]], [[9, 17, 10, 4, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-13721443/
2097152, -6860721/1048576], [-1, -1]]]], [[9, 17, 10, 4, 2], [And(1 < v,v < 2^
(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576,
3430361/524288], [-13721443/2097152, -6860721/1048576], [0, 0]]]], [[9, 17, 10
, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -u^2+v
^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
6860721/1048576, 3430361/524288], [-13721443/2097152, -6860721/1048576], [1, 1
]]]], [[10, 4, 8, 7, 1], [v = 2^(1/2), u = -3^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [1, 1], [1, 1], [0, 0]]]], [[10, 6, 3, 2, 1], [v = 2^(1/2), u = -v,
And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [-2
, -2]]]], [[10, 6, 3, 2, 2], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y = -1-x
, z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 6, 3,
2, 3], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[10, 6, 3, 2, 4], [v = 2^(1/2
), u = -v, And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
1/2, -1/2], [1, 1]]]], [[10, 6, 3, 2, 5], [v = 2^(1/2), u = -v, And(-1 < x,x <
0), y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[10,
12, 5, 1, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2],
[-3, -3], [-3, -3]]]], [[10, 12, 5, 1, 2], [v = 2^(1/2), u = 1, And(-1 < x,x <
0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]
], [[10, 12, 5, 1, 3], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y < -x-2, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[10, 12, 5, 1, 4], [v =
2^(1/2), u = 1, And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[10, 12, 5, 1, 5], [v = 2^(1/2), u = 1, And(-1 <
x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[10, 13, 10, 7,
1], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 2, 7, 6, 1], [2^(1/2) < v, u
= -(v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 4, 1,
2, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [0, 0], [
-3, -3]]]], [[11, 4, 1, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = 0
, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536]
, [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[11, 4, 1, 2, 3]
, [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3
], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 4, 1, 2, 4], [2^(1/2) < v, u = -
(v^2+1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3, -3], [0, 0], [908093/524288, 1816187/
1048576]]]], [[11, 4, 1, 2, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y =
0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536]
, [-3, -3], [0, 0], [3, 3]]]], [[11, 10, 4, 4, 1], [2^(1/2) < v, u = -(v^2-2)^
(1/2), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[11, 10, 4, 4, 2], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[11, 10, 4
, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [0, 0
], [0, 0]]]], [[11, 10, 4, 4, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y
= 0, z = 1], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-\
1, -1], [0, 0], [1, 1]]]], [[11, 10, 4, 4, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2
), x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271
/1048576], [-1, -1], [0, 0], [2, 2]]]], [[11, 11, 8, 9, 1], [2^(1/2) < v, And(
-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, -u^2+v^2-2 < y, z = z], [
regular_chain, [[3, 3], [0, 0], [1, 1], [8, 8], [0, 0]]]], [[11, 15, 9, 9, 1],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [1, 1]
, [0, 0]]]], [[11, 17, 7, 1, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304
], [-3, -3], [-3, -3]]]], [[11, 17, 7, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-3, -3], [-7565219/4194304, -3782609/2097152]]]], [[11, 17,
7, 1, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0)
, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304],
[-3, -3], [-1/4194304, -1/4194304]]]], [[11, 17, 7, 1, 4], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)
^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/
4194304, -1062385/4194304], [-3, -3], [236413/131072, 1891305/1048576]]]], [[
11, 17, 7, 1, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-3, -3],
[3, 3]]]], [[1, 1, 3, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-5, -5], [-9, -9], [-8, -8], [-6, -6]]]], [[1, 1, 3, 2, 2], [v < -2^(1/2
), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-8, -8], [-\
2161695/524288, -4323389/1048576]]]], [[1, 1, 3, 2, 3], [v < -2^(1/2), u < -(v
^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-9, -9]
, [-8, -8], [0, 0]]]], [[1, 1, 3, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-8, -8], [4323389/1048576, 
2161695/524288]]]], [[1, 1, 3, 2, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-
u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-8, -8], [6, 6]]]], [[1, 2, 5,
1, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
-1/2, -1/2], [-4, -4], [-4, -4]]]], [[1, 2, 5, 1, 2], [v < -2^(1/2), u = -(v^2
+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-4, -4], [-\
1112183/524288, -2224365/1048576]]]], [[1, 2, 5, 1, 3], [v < -2^(1/2), u = -(v
^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -\
1/2], [-4, -4], [0, 0]]]], [[1, 2, 5, 1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2)
, And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-4, -4], [2224365/1048576,
1112183/524288]]]], [[1, 2, 5, 1, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[1, 8,
8, 7, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [1, 1
], [0, 0]]]], [[1, 10, 2, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y
< 0, z < -(3-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271
/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[1, 10, 2, 1, 2], [v < -2^(1/2),
u = -(v^2-2)^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[-3, -3
], [-5548543/2097152, -2774271/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[1,
10, 2, 1, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/
2) < z,z < (3-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[1, 10, 2, 1, 4], [v < -2^(1
/2), u = -(v^2-2)^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[
1, 10, 2, 1, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y < 0, (3-y)^(1/2)
< z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3
], [-1, -1], [3, 3]]]], [[1, 14, 1, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x
< -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[1, 14, 1
, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3
, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[1, 14, 1, 3, 3], [
v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3, -3], [1/2, 1/2], [0, 0]]]], [[1, 14, 1, 3, 4], [v < -2^(1/2), u
= (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [1/2, 1/
2], [207243/131072, 1657945/1048576]]]], [[1, 14, 1, 3, 5], [v < -2^(1/2), u =
(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]],
[[1, 15, 7, 4, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-\
1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
-258287/1048576, -129143/524288], [-2, -2]]]], [[1, 15, 7, 4, 2], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [-258287/1048576, -129143/524288
], [-735979/1048576, -1471957/2097152]]]], [[1, 15, 7, 4, 3], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
258287/1048576, -129143/524288], [-1/4194304, -1/4194304]]]], [[1, 15, 7, 4, 4
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-258287/
1048576, -129143/524288], [367989/524288, 735979/1048576]]]], [[1, 15, 7, 4, 5
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-258287/
1048576, -129143/524288], [2, 2]]]], [[1, 21, 9, 3, 1], [v < -2^(1/2), (v^2+2)
^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-33/2, -33/2], [-4, -4]]
]], [[1, 21, 9, 3, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2
-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [5, 5], [8, 8], [-33/2, -33/2], [-24456785/8388608, -1528549/524288]]]], [
[1, 21, 9, 3, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [5, 5], [8, 8], [-33/2, -33/2], [0, 0]]]], [[1, 21,
9, 3, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2
+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [8
, 8], [-33/2, -33/2], [1528549/524288, 3057099/1048576]]]], [[1, 21, 9, 3, 5],
[v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-33/
2, -33/2], [4, 4]]]], [[2, 1, 11, 4, 1], [v = -2^(1/2), u < -2, u^2-3 < x, y =
-x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7,
7], [-7, -7], [-1, -1]]]], [[2, 1, 11, 4, 2], [v = -2^(1/2), u < -2, u^2-3 < x
, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3
], [7, 7], [-7, -7], [0, 0]]]], [[2, 1, 11, 4, 3], [v = -2^(1/2), u < -2, u^2-\
3 < x, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3, -3], [7, 7], [-7, -7], [1, 1]]]], [[2, 10, 1, 6, 1], [v = -2^(1/2), u = 0,
x < -3, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
0, 0], [-4, -4], [4, 4], [-1, -1]]]], [[2, 10, 1, 6, 2], [v = -2^(1/2), u = 0,
x < -3, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
0, 0], [-4, -4], [4, 4], [0, 0]]]], [[2, 10, 1, 6, 3], [v = -2^(1/2), u = 0, x
< -3, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [-4, -4], [4, 4], [1, 1]]]], [[2, 11, 5, 7, 1], [v = -2^(1/2), And(0 < u,u
< 1), And(-1 < x,x < 0), And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [7/8, 7/8], [0, 0]
]]], [[2, 17, 9, 8, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x
< 1), y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [0, 0], [0,
0]]]], [[2, 19, 2, 7, 1], [v = -2^(1/2), 2 < u, x = -u^2+1, 2*u^2-4 < y, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [15,
15], [0, 0]]]], [[3, 3, 10, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [1
, 1], [0, 0]]]], [[3, 5, 5, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/
2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [803457/1048576, 401729/524288], [-1, -1]]
]], [[3, 5, 5, 8, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v)
, And(-1 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [803457/1048576, 401729/524288], [0, 0]]]], [[3, 5
, 5, 8, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 <
x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [803457/1048576, 401729/524288], [1, 1]]]], [[3, 11, 9, 9, 1], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), 0 < y,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 13, 6, 4, 1], [And(-2^(
1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [0, 0],
[-2, -2]]]], [[3, 13, 6, 4, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [0, 0], [-765155/1048576, -1530309/2097152]]
]], [[3, 13, 6, 4, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)
), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [0, 0], [-1/4194304, -1/
4194304]]]], [[3, 13, 6, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [0, 0], [382577/524288, 765155/1048576]]]],
[[3, 13, 6, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/
2097152, -139585/262144], [0, 0], [2, 2]]]], [[3, 13, 11, 1, 1], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[3, 13, 11, 1, 2],
[And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-
x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 13, 11, 1, 3], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[3,
13, 11, 1, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x
, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-5, -5], [
908093/524288, 1816187/1048576]]]], [[3, 13, 11, 1, 5], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [-5, -5], [3, 3]]]], [[3, 15, 5, 9, 1], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), u^
2-v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [-1/2, -1/2], [2, 2], [0, 0]]]], [[4, 3, 11, 3
, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [2, 2], [-3394631/1048576, -3394631/1048576], [-3, -3]]]], [[4, 3, 
11, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-3394631/1048576, -3394631/1048576], [-145801/
131072, -1166407/1048576]]]], [[4, 3, 11, 3, 3], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), 1 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2],
[-3394631/1048576, -3394631/1048576], [0, 0]]]], [[4, 3, 11, 3, 4], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [
-3394631/1048576, -3394631/1048576], [1166407/1048576, 145801/131072]]]], [[4,
3, 11, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-3394631/1048576, -3394631/1048576], [3, 3]]]], [[4
, 5, 6, 2, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -2*u^2+2, z <
u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531
/2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608], [-3, -3]]]],
[[4, 5, 6, 2, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -2*u^2+2,
z = u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1138531/2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608], [-\
1265743/1048576, -1265743/1048576]]]], [[4, 5, 6, 2, 3], [v = -1, And(-2^(1/2)
< u,u < -1), x = u^2-2, y = -2*u^2+2, And(u < z,z < -u)], [regular_chain, [[-1
, -1], [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/
1048576], [-1917243/2097152, -7668971/8388608], [0, 0]]]], [[4, 5, 6, 2, 4], [
v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -2*u^2+2, z = -u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608], [1265743/
1048576, 1265743/1048576]]]], [[4, 5, 6, 2, 5], [v = -1, And(-2^(1/2) < u,u <
-1), x = u^2-2, y = -2*u^2+2, -u < z], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-1917243/
2097152, -7668971/8388608], [3, 3]]]], [[4, 9, 11, 2, 1], [v = -1, And(0 < u,u
< 1), 1 < x, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/
2, 1/2], [2, 2], [-15/4, -15/4], [-3, -3]]]], [[4, 9, 11, 2, 2], [v = -1, And(
0 < u,u < 1), 1 < x, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1/2, 1/2], [2, 2], [-15/4, -15/4], [-10837/8192, -1387135/1048576]]]], [
[4, 9, 11, 2, 3], [v = -1, And(0 < u,u < 1), 1 < x, y = u^2-x-2, And(-(-u^2+2)
^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2]
, [-15/4, -15/4], [0, 0]]]], [[4, 9, 11, 2, 4], [v = -1, And(0 < u,u < 1), 1 <
x, y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2
, 2], [-15/4, -15/4], [1387135/1048576, 10837/8192]]]], [[4, 9, 11, 2, 5], [v
= -1, And(0 < u,u < 1), 1 < x, y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-15/4, -15/4], [3, 3]]]], [[4,
11, 7, 8, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -x, z
< 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/131072, 284633/1048576], [-1, -1]]]], [[4, 
11, 7, 8, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -x, z
= 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/131072, 284633/1048576], [0, 0]]]], [[4, 11,
7, 8, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -x, 0 < z
], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/131072, 284633/1048576], [1, 1]]]], [[5, 2,
3, 9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), 1-x < y,
z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [4, 4], [0, 0]]
]], [[5, 3, 8, 1, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [-4, -4], [-3, -3]]]], [[5, 3, 8, 1, 2], [And(-1 < v,v < 0)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2,
z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [243021/524288, 486043/1048576], [-4, -4], [-7887605/4194304,
-15775209/8388608]]]], [[5, 3, 8, 1, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1
)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [243021/524288, 486043/1048576], [-4, -4], [-1
/16777216, -1/16777216]]]], [[5, 3, 8, 1, 4], [And(-1 < v,v < 0), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2
-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[243021/524288, 486043/1048576], [-4, -4], [1971901/1048576, 985951/524288]]]]
, [[5, 3, 8, 1, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [-4, -4], [3, 3]]]], [[5, 12, 2, 1, 1], [And(-1 < v,v < 0),
u = (v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [3/2, 3/2], [-3, -3], [-1, -1], [-3, -3]]]], [[5, 12, 2, 1, 2], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [-1, -1], [-2, -2]]]], [[5
, 12, 2, 1, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, y < 0, And(-(3-
y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3
, -3], [-1, -1], [0, 0]]]], [[5, 12, 2, 1, 4], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [-3, -3], [-1, -1], [2, 2]]]], [[5, 12, 2, 1, 5], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [3/2, 3/2], [-3, -3], [-1, -1], [3, 3]]]], [[5, 13, 6, 2, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-39/4, -39/4], [-5, -5]]]], [[5
, 13, 6, 2, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-39/4
, -39/4], [-1637089/524288, -3274177/1048576]]]], [[5, 13, 6, 2, 3], [And(-1 <
v,v < 0), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-39/
4, -39/4], [0, 0]]]], [[5, 13, 6, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [3, 3], [0, 0], [-39/4, -39/4], [3274177/1048576, 1637089/524288]]]], [[5, 
13, 6, 2, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-39/4, -\
39/4], [5, 5]]]], [[6, 6, 2, 5, 1], [v = 0, u = 0, x = -1, 1 < y, z = z], [
regular_chain, [[0, 0], [0, 0], [-1, -1], [2, 2], [0, 0]]]], [[6, 7, 10, 2, 1]
, [v = 0, And(0 < u,u < 1), x = 1, y = -u^2-2, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-9/4, -9/4], [-3, -3]]]], [[6, 7,
10, 2, 2], [v = 0, And(0 < u,u < 1), x = 1, y = -u^2-2, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-9/4, -9/4], [-146543/131072, -\
1172343/1048576]]]], [[6, 7, 10, 2, 3], [v = 0, And(0 < u,u < 1), x = 1, y = -
u^2-2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1
/2, 1/2], [1, 1], [-9/4, -9/4], [0, 0]]]], [[6, 7, 10, 2, 4], [v = 0, And(0 <
u,u < 1), x = 1, y = -u^2-2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2
, 1/2], [1, 1], [-9/4, -9/4], [1172343/1048576, 146543/131072]]]], [[6, 7, 10,
2, 5], [v = 0, And(0 < u,u < 1), x = 1, y = -u^2-2, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-9/4, -9/4], [3, 3]]]], [[6, 11,
11, 4, 1], [v = 0, 2^(1/2) < u, u^2-1 < x, y = -x, z < 0], [regular_chain, [[0
, 0], [3, 3], [9, 9], [-9, -9], [-1, -1]]]], [[6, 11, 11, 4, 2], [v = 0, 2^(1/
2) < u, u^2-1 < x, y = -x, z = 0], [regular_chain, [[0, 0], [3, 3], [9, 9], [-\
9, -9], [0, 0]]]], [[6, 11, 11, 4, 3], [v = 0, 2^(1/2) < u, u^2-1 < x, y = -x,
0 < z], [regular_chain, [[0, 0], [3, 3], [9, 9], [-9, -9], [1, 1]]]], [[7, 2,
2, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z <
-(3-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [3/2, 3/2]
, [-3, -3]]]], [[7, 2, 2, 3, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3
, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/
2], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[7, 2, 2, 3,
3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y
)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3,
-3], [3/2, 3/2], [0, 0]]]], [[7, 2, 2, 3, 4], [And(0 < v,v < 1), u = -(v^2+2)^
(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[7
, 2, 2, 3, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3)
, (3-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [3/2,
3/2], [3, 3]]]], [[7, 8, 5, 3, 1], [And(0 < v,v < 1), u = v, And(0 < x,x < 1),
And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1
/2], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[7, 8, 5, 3, 2], [And(0 < v,v < 1), u
= v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-1, -1], [-1482911/
2097152, -741455/1048576]]]], [[7, 8, 5, 3, 3], [And(0 < v,v < 1), u = v, And(
0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0]]]], [[7,
8, 5, 3, 4], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-1, -\
1], [741455/1048576, 46341/65536]]]], [[7, 8, 5, 3, 5], [And(0 < v,v < 1), u =
v, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-1, -1], [2, 2]]]], [[7, 9, 11, 8, 1], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [0, 0]
, [0, 0]]]], [[7, 10, 6, 2, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, y
= -2, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [0, 0], [-2, -2], [-3, -3]]]], [[7, 10, 6, 2, 2], [And(0 < v,v < 1),
u = (v^2+1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [0, 0], [-2, -2], [-1482911/1048576, -741455
/524288]]]], [[7, 10, 6, 2, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, y
= -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [0, 0], [-2, -2], [0, 0]]]], [[7, 10, 6, 2, 4], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain,
[[1/2, 1/2], [1172343/1048576, 146543/131072], [0, 0], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[7, 10, 6, 2, 5], [And(0 < v,v < 1), u = (v^2+1)
^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [0, 0], [-2, -2], [3, 3]]]], [[7, 11, 11, 6, 1], [And
(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = u^2-v^2-x-\
1, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2]
, [-805555/524288, -3222219/2097152], [0, 0]]]], [[8, 4, 7, 1, 1], [v = 1, u =
-2^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[8
, 4, 7, 1, 2], [v = 1, u = -2^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2]
, [-4, -4], [-7846825/4194304, -980853/524288]]]], [[8, 4, 7, 1, 3], [v = 1, u
= -2^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [
-4, -4], [0, 0]]]], [[8, 4, 7, 1, 4], [v = 1, u = -2^(1/2), And(0 < x,x < 1),
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[8
, 4, 7, 1, 5], [v = 1, u = -2^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2)
< z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2],
[-4, -4], [3, 3]]]], [[8, 6, 1, 1, 1], [v = 1, u = -1, x < -1, y < 0, z < -(-x
-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-1, -1], [-3, -3]]]]
, [[8, 6, 1, 1, 2], [v = 1, u = -1, x < -1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 6, 1, 1, 3], [v = 1, u = -1, x < -1, y < 0, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1, -1], [-2, -2],
[-1, -1], [-1/4194304, -1/4194304]]]], [[8, 6, 1, 1, 4], [v = 1, u = -1, x < -\
1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [-1,
-1], [908093/524288, 1816187/1048576]]]], [[8, 6, 1, 1, 5], [v = 1, u = -1, x
< -1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [
-1, -1], [3, 3]]]], [[8, 10, 6, 5, 1], [v = 1, u = 1, x = 1, And(-1 < y,y < 0)
, z = z], [regular_chain, [[1, 1], [1, 1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[
8, 12, 2, 5, 1], [v = 1, u = 2^(1/2), x = -2, 2 < y, z = z], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [3, 3], [0, 0]]]], [[9, 2,
9, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y = -x, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [-2, -2], [-1, -1]]]], [[9, 2, 9, 4, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2
], [-2, -2], [0, 0]]]], [[9, 2, 9, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2
)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-2, -2], [1, 1]]]], [
[9, 4, 3, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -\
1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [0, 0], [-3, -3]]]
], [[9, 4, 3, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [0, 0], [-1284239/
1048576, -642119/524288]]]], [[9, 4, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319
/2097152], [-3/2, -3/2], [0, 0], [0, 0]]]], [[9, 4, 3, 4, 4], [And(1 < v,v < 2
^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[9, 4, 3
, 4, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y =
0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3/2, -3/2], [0, 0], [3, 3]]]], [[9, 12, 7,
1, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-4, -4], [-3, -3]]]], [[9, 12, 7, 1, 2], [And(1 < v,v < 2^(
1/2)), u = v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -4
], [-1482911/1048576, -741455/524288]]]], [[9, 12, 7, 1, 3], [And(1 < v,v < 2^
(1/2)), u = v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-4, -4], [0, 0]]]], [[9, 12, 7, 1, 4], [And(1 < v,v < 2^(1/
2)), u = v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -4
], [741455/524288, 1482911/1048576]]]], [[9, 12, 7, 1, 5], [And(1 < v,v < 2^(1
/2)), u = v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -4
], [3, 3]]]], [[9, 14, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -\
3/2], [-1/4, -1/4], [-3, -3]]]], [[9, 14, 3, 3, 2], [And(1 < v,v < 2^(1/2)), u
= (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[9,
14, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1),
And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2,
-3/2], [-1/4, -1/4], [0, 0]]]], [[9, 14, 3, 3, 4], [And(1 < v,v < 2^(1/2)), u
= (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[9, 14
, 3, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), 
And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/4, -1/4]
, [3, 3]]]], [[10, 2, 9, 7, 1], [v = 2^(1/2), u = -2, 1 < x, And(1-x < y,y < 0
), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2]
, [-1/2, -1/2], [0, 0]]]], [[10, 4, 3, 7, 1], [v = 2^(1/2), u = -3^(1/2), And(
-2 < x,x < -1), -x < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3, 3], [0, 0]]]
], [[10, 8, 9, 2, 1], [v = 2^(1/2), u = -1, 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-4, -4],
[-3, -3]]]], [[10, 8, 9, 2, 2], [v = 2^(1/2), u = -1, 1 < x, y = -x-2, z = -2^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [
-4, -4], [-1482911/1048576, -741455/524288]]]], [[10, 8, 9, 2, 3], [v = 2^(1/2
), u = -1, 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-4, -4], [0, 0]]]], [[10,
8, 9, 2, 4], [v = 2^(1/2), u = -1, 1 < x, y = -x-2, z = 2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-4, -4],
[741455/524288, 1482911/1048576]]]], [[10, 8, 9, 2, 5], [v = 2^(1/2), u = -1,
1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [2, 2], [-4, -4], [3, 3]]]], [[10, 10, 2, 7, 1], [v = 2^(1
/2), u = 0, x = -3, 4 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-3, -3], [5, 5], [0, 0]]]], [[10, 16, 5, 3, 1], [v = 2^(1/2
), u = 3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[10, 16, 5, 3, 2], [v = 2^
(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [
[10, 16, 5, 3, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,
y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3/
4, -3/4], [0, 0]]]], [[10, 16, 5, 3, 4], [v = 2^(1/2), u = 3^(1/2), And(-1 < x
,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3/
4, -3/4], [1172343/1048576, 146543/131072]]]], [[10, 16, 5, 3, 5], [v = 2^(1/2
), u = 3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[10, 17, 10, 9, 1], [v = 2^(
1/2), And(3^(1/2) < u,u < 2), x = 1, 0 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [1, 1],
[0, 0]]]], [[10, 18, 3, 9, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1), 1-x <
y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-2, -2]
, [4, 4], [0, 0]]]], [[10, 19, 8, 5, 1], [v = 2^(1/2), 2 < u, x = 1, And(-1 <
y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 6, 5, 3, 1], [2^(1/2) < v, u = -v, And(0
< x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-3, -3], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[11, 6, 5, 3, 2], [2^(1/2) < v,
u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-1, -1], [-1482911/2097152, -\
741455/1048576]]]], [[11, 6, 5, 3, 3], [2^(1/2) < v, u = -v, And(0 < x,x < 1),
And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [-3, -3], [1/2, 1/2], [-1, -1], [0, 0]]]], [[11, 6, 5, 3, 4], [2^(1
/2) < v, u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-1, -1], [741455/1048576, 46341
/65536]]]], [[11, 6, 5, 3, 5], [2^(1/2) < v, u = -v, And(0 < x,x < 1), And(-1-
x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2
], [-1, -1], [2, 2]]]], [[11, 8, 1, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x
< -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[11,
8, 1, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z
= -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[11, 8
, 1, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3, -3], [1/2, 1/2], [0, 0]]]], [[11, 8, 1, 3, 4
], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(
1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3
], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[11, 8, 1, 3, 5], [2^(1/2
) < v, u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1/2,
1/2], [3, 3]]]], [[11, 12, 2, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3,
y < 0, z < -(3-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-3, -3], [-1, -1], [-3, -3]]]], [[11, 12, 2, 1, 2], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-3, -3], [-1, -1], [-2, -2]]]], [[11, 12, 2, 1,
3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (
3-y)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3]
, [-1, -1], [0, 0]]]], [[11, 12, 2, 1, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x
= -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-3, -3], [-1, -1], [2, 2]]]], [[11, 12, 2, 1, 5], [2^(1/2) < v,
u = (v^2-2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-3, -3], [-1, -1], [3, 3]]]], [[11, 13, 6, 6, 1
], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = -u^2+v^2
-1, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0],
[133259/262144, 533037/1048576], [0, 0]]]], [[11, 19, 10, 1, 1], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(
1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [-\
5, -5], [-3, -3]]]], [[11, 19, 10, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [-5, -5], [-2, -2]]]], [[
11, 19, 10, 1, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [-5, -5], [0, 0]]]], [[11,
19, 10, 1, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1,
y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [1, 1], [-5, -5], [2, 2]]]], [[11, 19, 10, 1, 5], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/
2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1],
[-5, -5], [3, 3]]]], [[11, 21, 3, 6, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [5, 5], [-9,
-9], [9, 9], [-1, -1]]]], [[11, 21, 3, 6, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u,
And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [5, 5], [
-9, -9], [9, 9], [0, 0]]]], [[11, 21, 3, 6, 3], [2^(1/2) < v, (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [5, 5]
, [-9, -9], [9, 9], [1, 1]]]], [[1, 4, 8, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(
1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 6, 2, 1, 1], [v
< -2^(1/2), u = v, x = -1, y < 0, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3]
, [-3, -3], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 6, 2, 1, 2], [v < -2^(1/2),
u = v, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3],
[-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[1, 6, 2, 1, 3], [
v < -2^(1/2), u = v, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [-1, -1], [-1, -1], [0, 0]]]], [[1, 6, 2,
1, 4], [v < -2^(1/2), u = v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain,
[[-3, -3], [-3, -3], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]],
[[1, 6, 2, 1, 5], [v < -2^(1/2), u = v, x = -1, y < 0, (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3, -3], [-1, -1], [-1, -1], [3, 3]]]], [[1, 12, 3,
7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-
x), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2]
, [5/2, 5/2], [0, 0]]]], [[1, 13, 7, 8, 1], [v < -2^(1/2), And((v^2-2)^(1/2) <
u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [133259/524288, 266519/1048576], [0, 0]]]], [[1, 18, 1, 6, 1],
[v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[-3
, -3], [207243/65536, 3315889/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[1, 18
, 1, 6, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y = -x, z = 0], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [3, 3], [
0, 0]]]], [[1, 18, 1, 6, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y = -x,
0 < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3],
[3, 3], [1, 1]]]], [[1, 19, 7, 7, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [129511/1048576, 129511/1048576], [0, 0]]]], [[2, 4, 2, 1, 1],
[v = -2^(1/2), u = -3^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2
, -2], [-1, -1], [-3, -3]]]], [[2, 4, 2, 1, 2], [v = -2^(1/2), u = -3^(1/2), x
= -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[2, 4, 2, 1, 3], [v = -2^(1/2), u = -3^(1/2),
x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -\
2], [-1, -1], [-1/4194304, -1/4194304]]]], [[2, 4, 2, 1, 4], [v = -2^(1/2), u
= -3^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1,
-1], [908093/524288, 1816187/1048576]]]], [[2, 4, 2, 1, 5], [v = -2^(1/2), u =
-3^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [3,
3]]]], [[2, 5, 7, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x
,x < 0), -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [2
, 2], [0, 0]]]], [[2, 6, 1, 5, 1], [v = -2^(1/2), u = v, x < -1, And(-1-x < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [-2, -2], [3/2, 3/2], [-2, -2]]]]
, [[2, 6, 1, 5, 2], [v = -2^(1/2), u = v, x < -1, And(-1-x < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/
1048576]]]], [[2, 6, 1, 5, 3], [v = -2^(1/2), u = v, x < -1, And(-1-x < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [3/2,
3/2], [0, 0]]]], [[2, 6, 1, 5, 4], [v = -2^(1/2), u = v, x < -1, And(-1-x < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1482911/1048576, -741455/524288], [-2, -2], [3/2, 3/2], [741455/1048576,
46341/65536]]]], [[2, 6, 1, 5, 5], [v = -2^(1/2), u = v, x < -1, And(-1-x < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1482911/1048576, -741455/524288], [-2, -2], [3/2, 3/2], [2, 2]]]], [[2, 7
, 9, 4, 1], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y = -u^2-x+1,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/
16777216], [-2, -2]]]], [[2, 7, 9, 4, 2], [v = -2^(1/2), And(v < u,u < -1), 
And(0 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-4014395/4194304, -16057579/16777216], [-1417877/2097152, -354469/
524288]]]], [[2, 7, 9, 4, 3], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x <
1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/
2, 1/2], [-4014395/4194304, -16057579/16777216], [0, 0]]]], [[2, 7, 9, 4, 4],
[v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576
, -1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/16777216], [
354469/524288, 708939/1048576]]]], [[2, 7, 9, 4, 5], [v = -2^(1/2), And(v < u,
u < -1), And(0 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [-4014395/4194304, -16057579/16777216], [2, 2]]]], [[2, 13, 9, 5, 1],
[v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187/
33554432], [-2, -2]]]], [[2, 13, 9, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/
2, 1/2], [-24446187/33554432, -24446187/33554432], [-31331/65536, -501295/
1048576]]]], [[2, 13, 9, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x
< 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-24446187/33554432, -24446187/33554432], [0, 0]]]], [[2
, 13, 9, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(-u^2-x
+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-24446187/33554432,
-24446187/33554432], [501295/1048576, 31331/65536]]]], [[2, 13, 9, 5, 5], [v =
-2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187/33554432
], [2, 2]]]], [[2, 15, 5, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-\
1 < x,x < u^2-3), -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [2, 2], [0, 0]]]], [[2, 19, 7, 4, 1], [v = -2^(1/2), 2 < u, And(0 <
x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 19, 7, 4, 2], [v = -2^(1/2
), 2 < u, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [3, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[2, 19, 7, 4,
3], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]]
, [[3, 1, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x
< u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/
2097152], [-33734339/4194304, -33734339/4194304], [-4, -4]]]], [[3, 1, 9, 3, 2
], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), 
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-\
33734339/4194304, -33734339/4194304], [-2167143/1048576, -1083571/524288]]]],
[[3, 1, 9, 3, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [0,
0]]]], [[3, 1, 9, 3, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1
< x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [1083571/
524288, 2167143/1048576]]]], [[3, 1, 9, 3, 5], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [4
, 4]]]], [[3, 7, 11, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^
(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [-7487867/2097152, -3743933/1048576], [-3, -3]]]], [[3, 7, 11, 2, 2], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [2, 2], [-7487867/2097152, -3743933/
1048576], [-1314069/1048576, -328517/262144]]]], [[3, 7, 11, 2, 3], [And(-2^(1
/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-\
7487867/2097152, -3743933/1048576], [0, 0]]]], [[3, 7, 11, 2, 4], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^
2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [-7487867/2097152, -3743933/
1048576], [328517/262144, 1314069/1048576]]]], [[3, 7, 11, 2, 5], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [-7487867/2097152, -3743933/
1048576], [3, 3]]]], [[3, 9, 6, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-4, -4]
, [-3, -3]]]], [[3, 9, 6, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-4, -4], [-2, -2]]]]
, [[3, 9, 6, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2
-1)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-4, -4]
, [0, 0]]]], [[3, 9, 6, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-4, -4], [2, 2]]]], [[3
, 9, 6, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [-4, -4], [3, 3]]]], [[3, 17, 7, 6
, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = 0, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2
], [0, 0], [0, 0]]]], [[4, 1, 9, 5, 1], [v = -1, u < -3^(1/2), And(1 < x,x < u
^2-2), And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [-3, -3], [4, 4],
[-2, -2], [0, 0]]]], [[4, 7, 11, 6, 1], [v = -1, And(-1 < u,u < 0), 1 < x, y =
-x, z < 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-2, -2], [-1, -1
]]]], [[4, 7, 11, 6, 2], [v = -1, And(-1 < u,u < 0), 1 < x, y = -x, z = 0], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-2, -2], [0, 0]]]], [[4, 7, 
11, 6, 3], [v = -1, And(-1 < u,u < 0), 1 < x, y = -x, 0 < z], [regular_chain,
[[-1, -1], [-1/2, -1/2], [2, 2], [-2, -2], [1, 1]]]], [[4, 9, 6, 5, 1], [v = -\
1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < u^2), z < -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/8], [-2, -2]]]], [
[4, 9, 6, 5, 2], [v = -1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < u^2), z =
-(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/
8], [-46341/131072, -370727/1048576]]]], [[4, 9, 6, 5, 3], [v = -1, And(0 < u,
u < 1), x = -u^2, And(0 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2)
)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/8], [0, 0]]]]
, [[4, 9, 6, 5, 4], [v = -1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < u^2), z
= (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1
/8], [370727/1048576, 46341/131072]]]], [[4, 9, 6, 5, 5], [v = -1, And(0 < u,u
< 1), x = -u^2, And(0 < y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/8], [2, 2]]]], [[4, 13, 11, 3, 1], [v =
-1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2],
[-6789261/2097152, -6789261/2097152], [-3, -3]]]], [[4, 13, 11, 3, 2], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [-\
6789261/2097152, -6789261/2097152], [-1166407/1048576, -583203/524288]]]], [[4
, 13, 11, 3, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [2, 2], [-6789261/2097152, -6789261/
2097152], [0, 0]]]], [[4, 13, 11, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2))
, 1 < x, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [2, 2], [-6789261/2097152, -6789261/
2097152], [583203/524288, 1166407/1048576]]]], [[4, 13, 11, 3, 5], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [-\
6789261/2097152, -6789261/2097152], [3, 3]]]], [[4, 15, 4, 4, 1], [v = -1, 3^(
1/2) < u, x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [3, 3], [-1, -1],
[0, 0], [-2, -2]]]], [[4, 15, 4, 4, 2], [v = -1, 3^(1/2) < u, x = -1, y = 0, z
= -1], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[4,
15, 4, 4, 3], [v = -1, 3^(1/2) < u, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[4, 15, 4, 4,
4], [v = -1, 3^(1/2) < u, x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [3
, 3], [-1, -1], [0, 0], [1, 1]]]], [[4, 15, 4, 4, 5], [v = -1, 3^(1/2) < u, x
= -1, y = 0, 1 < z], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [0, 0], [2,
2]]]], [[5, 5, 11, 7, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1
< x, And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-1, -1], [0, 0]]]], [[5, 7, 8, 4, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3/4, -3/4], [-2, -2]]
]], [[5, 7, 8, 4, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y = -u^2+v
^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0],
[-3/4, -3/4], [-1816187/2097152, -3632373/4194304]]]], [[5, 7, 8, 4, 3], [And(
-1 < v,v < 0), And(v < u,u < -v), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0],
[-3/4, -3/4], [-1/8388608, -1/8388608]]]], [[5, 7, 8, 4, 4], [And(-1 < v,v < 0
), And(v < u,u < -v), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3/4, -3/4], [908093/1048576, 
454047/524288]]]], [[5, 7, 8, 4, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x
= 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0
, 0], [0, 0], [-3/4, -3/4], [2, 2]]]], [[5, 8, 1, 7, 1], [And(-1 < v,v < 0), u
= -v, x < -1, -x < y, z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2,
-2], [3, 3], [0, 0]]]], [[5, 9, 9, 6, 1], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [
[5, 9, 9, 6, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,
x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[5, 9, 9, 6, 3], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, 0 < z]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2
], [-1/2, -1/2], [1, 1]]]], [[6, 2, 5, 7, 1], [v = 0, u = -2^(1/2), And(-1 < x
,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [1, 1], [0, 0]]]], [[6, 3, 10, 1, 1],
[v = 0, And(-2^(1/2) < u,u < -1), x = 1, y < -u^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [-5, -5]
, [-3, -3]]]], [[6, 3, 10, 1, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, y <
-u^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-5, -5], [-2, -2]]]], [[6, 3, 10, 1, 3], [v = 0, 
And(-2^(1/2) < u,u < -1), x = 1, y < -u^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1]
, [-5, -5], [0, 0]]]], [[6, 3, 10, 1, 4], [v = 0, And(-2^(1/2) < u,u < -1), x
= 1, y < -u^2-2, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576
, -1265743/1048576], [1, 1], [-5, -5], [2, 2]]]], [[6, 3, 10, 1, 5], [v = 0, 
And(-2^(1/2) < u,u < -1), x = 1, y < -u^2-2, (-y-1)^(1/2) < z], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [-5, -5], [3, 3]]]],
[[6, 8, 4, 3, 1], [v = 0, u = 1, x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)],
[regular_chain, [[0, 0], [1, 1], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[6, 8,
4, 3, 2], [v = 0, u = 1, x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -\
642119/524288]]]], [[6, 8, 4, 3, 3], [v = 0, u = 1, x = -1, And(-1 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-1,
-1], [-1/2, -1/2], [0, 0]]]], [[6, 8, 4, 3, 4], [v = 0, u = 1, x = -1, And(-1
< y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1/2
, -1/2], [642119/524288, 1284239/1048576]]]], [[6, 8, 4, 3, 5], [v = 0, u = 1,
x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [1, 1],
[-1, -1], [-1/2, -1/2], [3, 3]]]], [[6, 9, 9, 7, 1], [v = 0, And(1 < u,u < 2^(
1/2)), And(u^2-1 < x,x < 1), And(u^2-x-1 < y,y < 0), z = z], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152]
, [-35579/262144, -35579/262144], [0, 0]]]], [[7, 4, 4, 7, 1], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [2, 2], [0, 0]]]], [[7, 5, 10, 2,
1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [-3, -3]]]], [[
7, 5, 10, 2, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y =
-u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [-\
19417/16384, -1242687/1048576]]]], [[7, 5, 10, 2, 3], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [0, 0]]]], [[7,
5, 10, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u
^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [
1242687/1048576, 19417/16384]]]], [[7, 5, 10, 2, 5], [And(0 < v,v < 1), And(-(
v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1260655/524288, -2521309/1048576], [3, 3]]]], [[8, 1, 1, 8, 1], [v = 1, u < -3
^(1/2), x < -u^2, y = u^2-x-2, z = z], [regular_chain, [[1, 1], [-3, -3], [-10
, -10], [17, 17], [0, 0]]]], [[8, 2, 4, 4, 1], [v = 1, u = -3^(1/2), x = -1, y
= 0, z < -1], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [
-1, -1], [0, 0], [-2, -2]]]], [[8, 2, 4, 4, 2], [v = 1, u = -3^(1/2), x = -1,
y = 0, z = -1], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-1, -1], [0, 0], [-1, -1]]]], [[8, 2, 4, 4, 3], [v = 1, u = -3^(1/2), x = -1,
y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [0, 0], [0, 0]]]], [[8, 2, 4, 4, 4], [v = 1, u = -
3^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [0, 0], [1, 1]]]], [[8, 2, 4, 4, 5], [v = 1, u = -
3^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [0, 0], [2, 2]]]], [[8, 8, 7, 2, 1], [v = 1, u = 0
, And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[1, 1], [0, 0],
[1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[8, 8, 7, 2, 2], [v = 1, u = 0, And(0
< x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/
2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[8, 8, 7, 2, 3], [v
= 1, u = 0, And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[8, 8, 7
, 2, 4], [v = 1, u = 0, And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 
1482911/1048576]]]], [[8, 8, 7, 2, 5], [v = 1, u = 0, And(0 < x,x < 1), y = -x
-2, 2^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-5/2, -5/2], [
3, 3]]]], [[8, 10, 1, 2, 1], [v = 1, u = 1, x < -1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [0, 0], [-3, -3]]]], [[8, 10, 1, 2,
2], [v = 1, u = 1, x < -1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [
1, 1], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[8, 10, 1, 2,
3], [v = 1, u = 1, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [1, 1], [-2, -2], [0, 0], [0, 0]]]], [[8, 10, 1, 2, 4]
, [v = 1, u = 1, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [1,
1], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[8, 10, 1, 2, 5],
[v = 1, u = 1, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [1, 1]
, [-2, -2], [0, 0], [3, 3]]]], [[8, 14, 5, 5, 1], [v = 1, u = 3^(1/2), And(-1
< x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8, 
14, 5, 5, 2], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/
2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[8, 14, 5, 5, 3], [v = 1, u = 3^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/
4, 1/4], [0, 0]]]], [[8, 14, 5, 5, 4], [v = 1, u = 3^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[8, 14, 5, 5, 5],
[v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4,
1/4], [2, 2]]]], [[8, 15, 10, 1, 1], [v = 1, 3^(1/2) < u, x = u^2-2, y < -2*u^
2+2, z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [3, 3], [7, 7], [-17, -\
17], [-5, -5]]]], [[8, 15, 10, 1, 2], [v = 1, 3^(1/2) < u, x = u^2-2, y < -2*u
^2+2, z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [3, 3], [7, 7], [-17, -\
17], [-3315889/1048576, -207243/65536]]]], [[8, 15, 10, 1, 3], [v = 1, 3^(1/2)
< u, x = u^2-2, y < -2*u^2+2, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))]
, [regular_chain, [[1, 1], [3, 3], [7, 7], [-17, -17], [0, 0]]]], [[8, 15, 10,
1, 4], [v = 1, 3^(1/2) < u, x = u^2-2, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [7, 7], [-17, -17], [207243/65536, 3315889/
1048576]]]], [[8, 15, 10, 1, 5], [v = 1, 3^(1/2) < u, x = u^2-2, y < -2*u^2+2,
(-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [7, 7], [-17, -17], [5
, 5]]]], [[9, 6, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(-1-x <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-5/2, -5/2], [-2, -2]
]]], [[9, 6, 7, 3, 2], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(-1-x < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [2, 2], [-5/2, -5/2], [-1482911/
2097152, -741455/1048576]]]], [[9, 6, 7, 3, 3], [And(1 < v,v < 2^(1/2)), u = -
v, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-5/2, -5/2], [0, 0]]]], [[9, 6, 7, 3, 4], [And(1 <
v,v < 2^(1/2)), u = -v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[9,
6, 7, 3, 5], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, And(-1-x < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743
/1048576, -1265743/1048576], [2, 2], [-5/2, -5/2], [2, 2]]]], [[9, 8, 3, 5, 1]
, [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [
[9, 8, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -\
1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/4, 3/4]
, [-1816187/2097152, -3632373/4194304]]]], [[9, 8, 3, 5, 3], [And(1 < v,v < 2^
(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/4, 3/4], [-1/
8388608, -1/8388608]]]], [[9, 8, 3, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-\
1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[9, 8
, 3, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), 
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/4, 3/4]
, [2, 2]]]], [[9, 8, 8, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
= 1, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [1, 1], [0, 0]]]], [[9, 10, 3, 2, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z
< -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[9, 10, 3,
2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-\
2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469
/524288, 708939/1048576], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -\
741455/524288]]]], [[9, 10, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/
2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[9, 10, 3, 2, 4], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[9
, 10, 3, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1)
, y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[9, 
16, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), 
And(-x < y,y < 1-x), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [1, 1], [0, 0]]]], [[
9, 17, 10, 3, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 
And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576,
3430361/524288], [-45358631/4194304, -45358631/4194304], [-4, -4]]]], [[9, 17,
10, 3, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u
^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288],
[-45358631/4194304, -45358631/4194304], [-2167143/1048576, -1083571/524288]]]]
, [[9, 17, 10, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-\
1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u
^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [6860721/1048576, 3430361/524288], [-45358631/4194304, -45358631/4194304],
[0, 0]]]], [[9, 17, 10, 3, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576,
3430361/524288], [-45358631/4194304, -45358631/4194304], [1083571/524288, 
2167143/1048576]]]], [[9, 17, 10, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2
) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721
/1048576, 3430361/524288], [-45358631/4194304, -45358631/4194304], [4, 4]]]],
[[10, 4, 9, 1, 1], [v = 2^(1/2), u = -3^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [2, 2], [-5, -5], [-3, -3]]]], [[10, 4, 9, 1, 2], [v = 2^(1/
2), u = -3^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2],
[-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[10, 4, 9, 1, 3], [v = 2^(
1/2), u = -3^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[10, 4, 9, 1, 4], [
v = 2^(1/2), u = -3^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2
], [-5, -5], [908093/524288, 1816187/1048576]]]], [[10, 4, 9, 1, 5], [v = 2^(1
/2), u = -3^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2],
[-5, -5], [3, 3]]]], [[10, 6, 3, 3, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0
), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/
4], [-2, -2]]]], [[10, 6, 3, 3, 2], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), 
And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/
4], [-1816187/2097152, -3632373/4194304]]]], [[10, 6, 3, 3, 3], [v = 2^(1/2),
u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]
]]], [[10, 6, 3, 3, 4], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(-1-x < y,
y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [908093/
1048576, 454047/524288]]]], [[10, 6, 3, 3, 5], [v = 2^(1/2), u = -v, And(-1 <
x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
1/4, -1/4], [2, 2]]]], [[10, 12, 4, 7, 1], [v = 2^(1/2), u = 1, x = -1, 1 < y,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [
2, 2], [0, 0]]]], [[10, 13, 10, 6, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1,
y = -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[10, 13, 10, 6, 2],
[v = 2^(1/2), And(1 < u,u < v), x = 1, y = -1, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [
-1, -1], [0, 0]]]], [[10, 13, 10, 6, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1
, y = -1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-1, -1], [1, 1]]]], [[11, 2, 7, 5, 1], [2^
(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-1/4
, -1/4], [0, 0]]]], [[11, 4, 1, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -\
2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-3, -3], [-1, -1], [-3, -3]]]], [[11, 4, 1, 1, 2], [2^(1/2) <
v, u = -(v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-3, -3], [-1, -1], [-2, -2]]]], [[11,
4, 1, 1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-3, -3], [-1, -1], [0, 0]]]], [[11, 4, 1, 1, 4], [2^(1/2) < v, u = -(
v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3, -3], [-1, -1], [2, 2]]]], [[11, 4, 1, 1,
5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [-1, -1],
[3, 3]]]], [[11, 10, 4, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(0
< y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 10, 4, 5, 2], [2^(1
/2) < v, u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [1/2,
1/2], [-1482911/2097152, -741455/1048576]]]], [[11, 10, 4, 5, 3], [2^(1/2) < v
, u = -(v^2-2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1,
-1], [1/2, 1/2], [0, 0]]]], [[11, 10, 4, 5, 4], [2^(1/2) < v, u = -(v^2-2)^(1/
2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[11, 10, 4, 5, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1,
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152
, -2774271/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 11, 9, 1, 1], [2^(
1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1)
, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2,
9/2], [-16, -16], [-5, -5]]]], [[11, 11, 9, 1, 2], [2^(1/2) < v, And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-16, -16], [-\
3555895/1048576, -1777947/524288]]]], [[11, 11, 9, 1, 3], [2^(1/2) < v, And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-\
1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [0, 0],
[9/2, 9/2], [-16, -16], [0, 0]]]], [[11, 11, 9, 1, 4], [2^(1/2) < v, And(-(v^2
-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-16, -16], [
1777947/524288, 3555895/1048576]]]], [[11, 11, 9, 1, 5], [2^(1/2) < v, And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [9/2, 9/2], [-16, -16],
[5, 5]]]], [[11, 15, 9, 8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And
(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 17, 6, 7, 1], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [2, 2], [0, 0]]]], [[1, 1, 3, 3, 1], [v < -2^(1/2), u < -(v^
2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-4, -4], [-5, -5]]]
], [[1, 1, 3, 3, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x <
-1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3
], [-5, -5], [-9, -9], [-4, -4], [-3780695/1048576, -7561389/2097152]]]], [[1,
1, 3, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), 
And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-4, -4], [-1/4194304, -1/
4194304]]]], [[1, 1, 3, 3, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-5, -5], [-9, -9], [-4, -4], [1890347/524288, 3780695/1048576]]]
], [[1, 1, 3, 3, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x <
-1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3]
, [-5, -5], [-9, -9], [-4, -4], [5, 5]]]], [[1, 2, 5, 2, 1], [v < -2^(1/2), u
= -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain,
[[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-5/2, -5/2], [-\
3, -3]]]], [[1, 2, 5, 2, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x <
0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/
2097152]]]], [[1, 2, 5, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x
< 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1
/4194304]]]], [[1, 2, 5, 2, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,
x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/1048576]
]]], [[1, 2, 5, 2, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y
= -x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[1, 8, 8, 6, 1], [v < -2^(1/
2), u = -(v^2-1)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [0, 0], [0, 0]]]], [[1, 10, 1, 9,
1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, 1-x < y, z = z], [regular_chain
, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [6, 6], [0, 0]]]]
, [[1, 14, 1, 4, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y = -x-2, z < -
2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3
], [1, 1], [-3, -3]]]], [[1, 14, 1, 4, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x
< -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[1
, 14, 1, 4, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y = -x-2, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3, -3], [1, 1], [0, 0]]]], [[1, 14, 1, 4, 4], [v < -2^(1/2), u = (
v^2-1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-3, -3], [1, 1], [741455/524288, 1482911/
1048576]]]], [[1, 14, 1, 4, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y =
-x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576
], [-3, -3], [1, 1], [3, 3]]]], [[1, 15, 7, 5, 1], [v < -2^(1/2), And((v^2-1)^
(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-516571/2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [-2, -\
2]]]], [[1, 15, 7, 5, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u
^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [-129143/1048576, -129143/1048576], [-1274753/2097152, -\
9959/16384]]]], [[1, 15, 7, 5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [-129143/1048576, -129143/
1048576], [0, 0]]]], [[1, 15, 7, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2
)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [9959/16384, 
637377/1048576]]]], [[1, 15, 7, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [2, 2]]]], [[1,
21, 9, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [8,
8], [-25, -25], [-6, -6]]]], [[1, 21, 9, 2, 2], [v < -2^(1/2), (v^2+2)^(1/2) <
u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [8, 8], [-25, -25], [-2161695/524288, -\
4323389/1048576]]]], [[1, 21, 9, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(
1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-25, -25], [0, 0]]]]
, [[1, 21, 9, 2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1
), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5]
, [8, 8], [-25, -25], [4323389/1048576, 2161695/524288]]]], [[1, 21, 9, 2, 5],
[v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-25, -25],
[6, 6]]]], [[2, 1, 11, 3, 1], [v = -2^(1/2), u < -2, u^2-3 < x, And(-u^2-x+1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [7, 7], [-11, -11], [-3, -3]]]], [[2, 1, 11, 3, 2], [v = -2
^(1/2), u < -2, u^2-3 < x, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-11, -\
11], [-2, -2]]]], [[2, 1, 11, 3, 3], [v = -2^(1/2), u < -2, u^2-3 < x, And(-u^
2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-11, -11], [0, 0]]]], [
[2, 1, 11, 3, 4], [v = -2^(1/2), u < -2, u^2-3 < x, And(-u^2-x+1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [7, 7], [-11, -11], [2, 2]]]], [[2, 1, 11, 3, 5], [v = -2^(1/2), u < -2, u
^2-3 < x, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-11, -11], [3, 3]]]], [[2
, 10, 1, 7, 1], [v = -2^(1/2), u = 0, x < -3, And(-x < y,y < 1-x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [9/2, 9/
2], [0, 0]]]], [[2, 11, 5, 8, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,
x < 0), y = -u^2-x+1, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[2, 17, 9, 7, 1], [
v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(u^2-x-3 < y,y
< 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [388511/524288, 388511/524288], [-135777/1048576, -\
135777/1048576], [0, 0]]]], [[2, 19, 2, 6, 1], [v = -2^(1/2), 2 < u, x = -u^2+
1, y = 2*u^2-4, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3, 3], [-8, -8], [14, 14], [0, 0]]]], [[3, 3, 11, 1, 1], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [-6, -6], [-3, -3]]]], [[3, 3, 
11, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-\
6, -6], [-2, -2]]]], [[3, 3, 11, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-14373233/8388608, -14373233/8388608], [2, 2], [-6, -6], [0, 0]]]], [[3, 3, 11
, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-\
6, -6], [2, 2]]]], [[3, 3, 11, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-6, -6], [3, 3]]]], [[3, 5, 5, 9, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), -x <
y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [2, 2], [0,
0]]]], [[3, 11, 9, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [0, 0], [0, 0]
]]], [[3, 13, 6, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-7843775/16777216, -\
7843775/16777216], [-2, -2]]]], [[3, 13, 6, 3, 2], [And(-2^(1/2) < v,v < -1),
And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z =
-(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-\
7843775/16777216, -7843775/16777216], [-274877904575/274877906944, -\
70368743571199/70368744177664]]]], [[3, 13, 6, 3, 3], [And(-2^(1/2) < v,v < -1
), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0),
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [-7843775/16777216, -7843775/16777216], [-\
66502399/140737488355328, -66502399/140737488355328]]]], [[3, 13, 6, 3, 4], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2
*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/
2097152, -139585/262144], [-7843775/16777216, -7843775/16777216], [1048575/
1048576, 1]]]], [[3, 13, 6, 3, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (
v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-7843775/
16777216, -7843775/16777216], [2, 2]]]], [[3, 13, 10, 9, 1], [And(-2^(1/2) < v
,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [1,
1], [1, 1], [0, 0]]]], [[3, 15, 5, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [1026253/1048576, 513127/524288], [0, 0]]]], [[4, 3, 11
, 4, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -x, z < 0], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [-2, -\
2], [-1, -1]]]], [[4, 3, 11, 4, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1
< x, y = -x, z = 0], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [2, 2], [-2, -2], [0, 0]]]], [[4, 3, 11, 4, 3], [v = -1, And(-3^(1/2
) < u,u < -2^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-2, -2], [1, 1]]]], [[4, 5, 6, 3,
1], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(-2*u^2+2 < y,y < 0), z <
-(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [-7668971/16777216, -7668971/
16777216], [-2, -2]]]], [[4, 5, 6, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x
= u^2-2, And(-2*u^2+2 < y,y < 0), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[-1
, -1], [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/
1048576], [-7668971/16777216, -7668971/16777216], [-2199023224735/
2199023255552, -70368743191519/70368744177664]]]], [[4, 5, 6, 3, 3], [v = -1,
And(-2^(1/2) < u,u < -1), x = u^2-2, And(-2*u^2+2 < y,y < 0), And(-(-u^2-y+2)^
(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-7668971/16777216,
-7668971/16777216], [-66122719/140737488355328, -66122719/140737488355328]]]],
[[4, 5, 6, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(-2*u^2+2 <
y,y < 0), z = (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1138531/2097152, -569265/1048576], [-7668971/16777216, -\
7668971/16777216], [1048575/1048576, 1]]]], [[4, 5, 6, 3, 5], [v = -1, And(-2^
(1/2) < u,u < -1), x = u^2-2, And(-2*u^2+2 < y,y < 0), (-u^2-y+2)^(1/2) < z],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-7668971/16777216, -7668971/16777216], [2, 2]]]],
[[4, 9, 11, 1, 1], [v = -1, And(0 < u,u < 1), 1 < x, y < u^2-x-2, z < -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-5, -5], [-3, -3]]]],
[[4, 9, 11, 1, 2], [v = -1, And(0 < u,u < 1), 1 < x, y < u^2-x-2, z = -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[4, 9, 11, 1, 3], [v = -1, And(0 < u,u < 1), 1
< x, y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1, -1], [1/2, 1/2], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[4, 9, 11
, 1, 4], [v = -1, And(0 < u,u < 1), 1 < x, y < u^2-x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[4, 9, 11, 1, 5], [v = -1, And(0 < u,u < 1), 1 < x, y <
u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-5
, -5], [3, 3]]]], [[4, 11, 7, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-\
2 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [
35579/262144, 35579/262144], [-2, -2]]]], [[4, 11, 7, 7, 2], [v = -1, And(1 <
u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [35579/262144, 35579/262144], [-386303/1048576, -193151/
524288]]]], [[4, 11, 7, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,
x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [35579/262144, 35579/262144], [0, 0]]]], [[4, 11, 7, 7, 4]
, [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [-569265/2097152, -569265/2097152], [35579/262144, 35579/262144], [193151/
524288, 386303/1048576]]]], [[4, 11, 7, 7, 5], [v = -1, And(1 < u,u < 2^(1/2))
, And(u^2-2 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/
2097152], [35579/262144, 35579/262144], [2, 2]]]], [[5, 2, 4, 1, 1], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [-3, -3], [-3, -3]]]], [
[5, 2, 4, 1, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y < -2, z = -
(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [-3, -3],
[-2, -2]]]], [[5, 2, 4, 1, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1,
y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [-1, -1], [-3, -3], [0, 0]]]], [[5, 2, 4, 1, 4], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-3/2, -3/2], [-1, -1], [-3, -3], [2, 2]]]], [[5, 2, 4, 1, 5], [And
(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [-3, -3], [3, 3]]]], [[5
, 3, 8, 2, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576],
[-6138473/2097152, -24553891/8388608], [-3, -3]]]], [[5, 3, 8, 2, 2], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*
u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [243021/524288, 486043/1048576], [-6138473/2097152, -\
24553891/8388608], [-3291611/2097152, -1645805/1048576]]]], [[5, 3, 8, 2, 3],
[And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1,
y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [-6138473/2097152, -24553891/8388608], [0, 0]]]], [[5, 3, 8
, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u
^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [-\
6138473/2097152, -24553891/8388608], [1645805/1048576, 822903/524288]]]], [[5,
3, 8, 2, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [-\
6138473/2097152, -24553891/8388608], [3, 3]]]], [[5, 12, 1, 9, 1], [And(-1 < v
,v < 0), u = (v^2+2)^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[-1/2, -\
1/2], [3/2, 3/2], [-4, -4], [6, 6], [0, 0]]]], [[5, 13, 6, 1, 1], [And(-1 < v,
v < 0), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-11, -11], [-5, -5]]]], [[5, 13
, 6, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z =
-(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-11, -11], [-\
1738867/524288, -3477733/1048576]]]], [[5, 13, 6, 1, 3], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-11, -11], [0, 0]]]], [[5, 13,
6, 1, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z = (-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-11, -11], [3477733
/1048576, 1738867/524288]]]], [[5, 13, 6, 1, 5], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [3, 3], [0, 0], [-11, -11], [5, 5]]]], [[6, 6, 3, 1, 1], [v = 0, u = 0, And
(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0],
[-1/2, -1/2], [-2, -2], [-3, -3]]]], [[6, 6, 3, 1, 2], [v = 0, u = 0, And(-1 <
x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2
, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[6, 6, 3, 1, 3], [v
= 0, u = 0, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[6,
6, 3, 1, 4], [v = 0, u = 0, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-2, -2], [207243/131072, 
1657945/1048576]]]], [[6, 6, 3, 1, 5], [v = 0, u = 0, And(-1 < x,x < 0), y < -\
1-x, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-2, -2
], [3, 3]]]], [[6, 7, 10, 3, 1], [v = 0, And(0 < u,u < 1), x = 1, And(-u^2-2 <
y,y < u^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1],
[-2, -2], [-2, -2]]]], [[6, 7, 10, 3, 2], [v = 0, And(0 < u,u < 1), x = 1, And
(-u^2-2 < y,y < u^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2
], [1, 1], [-2, -2], [-1, -1]]]], [[6, 7, 10, 3, 3], [v = 0, And(0 < u,u < 1),
x = 1, And(-u^2-2 < y,y < u^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-2, -2], [0, 0]]]], [[6, 7, 10, 3
, 4], [v = 0, And(0 < u,u < 1), x = 1, And(-u^2-2 < y,y < u^2-2), z = (-y-1)^(
1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-2, -2], [1, 1]]]], [[6,
7, 10, 3, 5], [v = 0, And(0 < u,u < 1), x = 1, And(-u^2-2 < y,y < u^2-2), (-y-\
1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-2, -2], [2, 2]]]
], [[6, 11, 11, 3, 1], [v = 0, 2^(1/2) < u, u^2-1 < x, And(-u^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [-14, -14], [-\
4, -4]]]], [[6, 11, 11, 3, 2], [v = 0, 2^(1/2) < u, u^2-1 < x, And(-u^2-x-1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [-14,
-14], [-146543/65536, -2344687/1048576]]]], [[6, 11, 11, 3, 3], [v = 0, 2^(1/2
) < u, u^2-1 < x, And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[0, 0], [3, 3], [9, 9], [-14, -14], [0, 0]]]], [[6, 
11, 11, 3, 4], [v = 0, 2^(1/2) < u, u^2-1 < x, And(-u^2-x-1 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [-14, -14], [2344687/
1048576, 146543/65536]]]], [[6, 11, 11, 3, 5], [v = 0, 2^(1/2) < u, u^2-1 < x,
And(-u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3],
[9, 9], [-14, -14], [4, 4]]]], [[7, 2, 2, 2, 1], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [-3, -3], [0, 0], [-3, -3]]]], [[7, 2, 2, 2, 2], [And(0 < v,v < 1), u = -
(v^2+2)^(1/2), x = -3, y = 0, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[7, 2, 2
, 2, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y = 0, And(-3^(1/2) <
z,z < 3^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [0, 0],
[-1/4194304, -1/4194304]]]], [[7, 2, 2, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2]
, [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[7, 2, 2, 2, 5], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [0, 0], [3, 3]]]], [[7, 8,
5, 4, 1], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]],
[[7, 8, 5, 4, 2], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y = -x, z = 0],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]],
[[7, 8, 5, 4, 3], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y = -x, 0 < z],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]],
[[7, 9, 11, 9, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, 0 <
y, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2
, 2], [1, 1], [0, 0]]]], [[7, 10, 6, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/
2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [0, 0], [-1, -1], [-2, -2]]]], [[7, 10, 6, 3,
2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^
(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [0, 0],
[-1, -1], [-1, -1]]]], [[7, 10, 6, 3, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [0, 0], [-1, -1]
, [0, 0]]]], [[7, 10, 6, 3, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, 
And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [0, 0], [-1, -1], [1, 1]]]], [[7, 10, 6, 3, 5], [And(
0 < v,v < 1), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [0, 0], [-1, -1]
, [2, 2]]]], [[7, 11, 11, 7, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [2, 2], [-3222219/4194304, -3222219/
4194304], [0, 0]]]], [[8, 4, 6, 5, 1], [v = 1, u = -2^(1/2), x = 0, 0 < y, z =
z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0], [1, 1
], [0, 0]]]], [[8, 5, 11, 9, 1], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, 0 <
y, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2,
2], [1, 1], [0, 0]]]], [[8, 10, 6, 6, 1], [v = 1, u = 1, x = 1, y = 0, z = z],
[regular_chain, [[1, 1], [1, 1], [1, 1], [0, 0], [0, 0]]]], [[8, 12, 3, 1, 1],
[v = 1, u = 2^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-2, -\
2], [-3, -3]]]], [[8, 12, 3, 1, 2], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), y
< -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[8,
12, 3, 1, 3], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[8, 12, 3, 1, 4], [v = 1, u = 2^
(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1
], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-2, -2], [980853/524288, 
1961707/1048576]]]], [[8, 12, 3, 1, 5], [v = 1, u = 2^(1/2), And(-2 < x,x < -1
), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[9, 2, 9, 3, 1], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[9, 2, 9, 3, 2
], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [-7/2, -7/2], [-1284239/1048576, -\
642119/524288]]]], [[9, 2, 9, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/
2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [-7/2, -7/2], [0, 0]]]], [[9, 2, 9, 3, 4], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]],
[[9, 2, 9, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, And(-x-3
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-7/2, -7/2], [3, 3]]]
], [[9, 4, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [
-1/4, -1/4], [-3, -3]]]], [[9, 4, 3, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[9,
4, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1),
And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2
, -3/2], [-1/4, -1/4], [0, 0]]]], [[9, 4, 3, 3, 4], [And(1 < v,v < 2^(1/2)), u
= -(v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319
/2097152], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[9,
4, 3, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1),
And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [-1/4, -1/
4], [3, 3]]]], [[9, 12, 7, 2, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = -\
1-x, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[9, 12, 7, 2, 2], [
And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = -1-x, z = -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2],
[-3, -3], [-1, -1]]]], [[9, 12, 7, 2, 3], [And(1 < v,v < 2^(1/2)), u = v, 1 <
x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[9
, 12, 7, 2, 4], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-3, -3], [1, 1]]]], [[9, 12, 7, 2, 5], [And(1 < v,v < 2^(1/
2)), u = v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [2, 2]
]]], [[9, 14, 3, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x
,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [0, 0], [-3, -3]]]],
[[9, 14, 3, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x <
-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [0, 0], [-1284239/
1048576, -642119/524288]]]], [[9, 14, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = (
v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [0, 0], [0, 0]]]], [[9, 14, 3, 4, 4], [And(1 < v,v < 2^
(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[9, 14, 3
, 4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0
, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3/2, -3/2], [0, 0], [3, 3]]]], [[10, 2, 9,
6, 1], [v = 2^(1/2), u = -2, 1 < x, y = 1-x, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [2, 2], [-1, -1], [0, 0]]]], [[10, 4, 3, 6
, 1], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[10, 4, 3, 6, 2], [v = 2^(1/
2), u = -3^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[741455
/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[3/2, 3/2], [0, 0]]]], [[10, 4, 3, 6, 3], [v = 2^(1/2), u = -3^(1/2), And(-2 <
x,x < -1), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[
10, 8, 9, 3, 1], [v = 2^(1/2), u = -1, 1 < x, And(-x-2 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2],
[-3, -3], [-2, -2]]]], [[10, 8, 9, 3, 2], [v = 2^(1/2), u = -1, 1 < x, And(-x-\
2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [2, 2], [-3, -3], [-1, -1]]]], [[10, 8, 9, 3, 3], [v = 2^(
1/2), u = -1, 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-\
3, -3], [0, 0]]]], [[10, 8, 9, 3, 4], [v = 2^(1/2), u = -1, 1 < x, And(-x-2 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1, -1], [2, 2], [-3, -3], [1, 1]]]], [[10, 8, 9, 3, 5], [v = 2^(1/2), u =
-1, 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [2, 2], [-3, -3], [2, 2]]]], [[10, 10, 3,
1, 1], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-2, -2],
[-3, -3]]]], [[10, 10, 3, 1, 2], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
0, 0], [-2, -2], [-2, -2], [-2, -2]]]], [[10, 10, 3, 1, 3], [v = 2^(1/2), u =
0, And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-2, -2],
[0, 0]]]], [[10, 10, 3, 1, 4], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), y < -x
-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-2, -2], [-2, -2], [2, 2]]]], [[10, 10, 3, 1, 5], [v = 2^(1/2), u = 0, 
And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-2, -2], [-2, -2], [3, 3]]]], [[10, 16, 5,
2, 1], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[10, 16, 5, 2, 2], [v = 2^
(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[10, 16, 5, 2, 3]
, [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z <
2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[10, 16, 5, 2, 4], [
v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[
10, 16, 5, 2, 5], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[10, 17, 10, 8, 1],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [
0, 0], [0, 0]]]], [[10, 18, 3, 8, 1], [v = 2^(1/2), u = 2, And(-3 < x,x < -1),
y = 1-x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-\
2, -2], [3, 3], [0, 0]]]], [[10, 19, 8, 4, 1], [v = 2^(1/2), 2 < u, x = 1, y =
-1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1],
[-1, -1], [-1, -1]]]], [[10, 19, 8, 4, 2], [v = 2^(1/2), 2 < u, x = 1, y = -1,
z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-1
, -1], [0, 0]]]], [[10, 19, 8, 4, 3], [v = 2^(1/2), 2 < u, x = 1, y = -1, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-1, -1
], [1, 1]]]], [[11, 6, 5, 4, 1], [2^(1/2) < v, u = -v, And(0 < x,x < 1), y = -
x, z < 0], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [-1, -\
1]]]], [[11, 6, 5, 4, 2], [2^(1/2) < v, u = -v, And(0 < x,x < 1), y = -x, z =
0], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[
11, 6, 5, 4, 3], [2^(1/2) < v, u = -v, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 8
, 1, 4, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)],
[regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1,
1], [-3, -3]]]], [[11, 8, 1, 4, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2,
y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283
/4194304], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[11, 8, 1
, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,
z < 2^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304],
[-3, -3], [1, 1], [0, 0]]]], [[11, 8, 1, 4, 4], [2^(1/2) < v, u = -(v^2-1)^(1/
2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576
, -11863283/4194304], [-3, -3], [1, 1], [741455/524288, 1482911/1048576]]]], [
[11, 8, 1, 4, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y = -x-2, 2^(1/2)
< z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3]
, [1, 1], [3, 3]]]], [[11, 12, 1, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x <
-3, 1-x < y, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [
-4, -4], [6, 6], [0, 0]]]], [[11, 13, 6, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2
) < u,u < (v^2-1)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2-1), z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [133259/
524288, 133259/524288], [0, 0]]]], [[11, 19, 10, 2, 1], [2^(1/2) < v, And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [-\
3663773/1048576, -915943/262144], [-3, -3]]]], [[11, 19, 10, 2, 2], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1
, 1], [-3663773/1048576, -915943/262144], [-1655969/1048576, -3311937/2097152]
]]], [[11, 19, 10, 2, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [-3663773
/1048576, -915943/262144], [-1/4194304, -1/4194304]]]], [[11, 19, 10, 2, 4], [
2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [1, 1], [-3663773/1048576, -915943/262144], [51749/32768, 1655969/
1048576]]]], [[11, 19, 10, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3
, 3], [3396811/1048576, 3396811/1048576], [1, 1], [-3663773/1048576, -915943/
262144], [3, 3]]]], [[11, 21, 3, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-
u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
3, 3], [5, 5], [-9, -9], [33/2, 33/2], [0, 0]]]], [[1, 4, 8, 2, 1], [v < -2^(1
/2), u = -(v^2+1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[-3, -\
3], [-3315889/1048576, -207243/65536], [1, 1], [-3, -3], [-3, -3]]]], [[1, 4,
8, 2, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1], [-3, -3],
[-1482911/1048576, -741455/524288]]]], [[1, 4, 8, 2, 3], [v < -2^(1/2), u = -(
v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[-3, -3], [-3315889/1048576, -207243/65536], [1, 1], [-3, -3], [0, 0]]]], [[1,
4, 8, 2, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1], [-3, -3],
[741455/524288, 1482911/1048576]]]], [[1, 4, 8, 2, 5], [v < -2^(1/2), u = -(v^
2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [-3, -3], [3, 3]]]], [[1, 6, 2, 2, 1], [v < -
2^(1/2), u = v, x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [-3, -3], [
-1, -1], [0, 0], [-2, -2]]]], [[1, 6, 2, 2, 2], [v < -2^(1/2), u = v, x = -1,
y = 0, z = -1], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [0, 0], [-1, -1
]]]], [[1, 6, 2, 2, 3], [v < -2^(1/2), u = v, x = -1, y = 0, And(-1 < z,z < 1)
], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [0, 0], [0, 0]]]], [[1, 6, 2
, 2, 4], [v < -2^(1/2), u = v, x = -1, y = 0, z = 1], [regular_chain, [[-3, -3
], [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[1, 6, 2, 2, 5], [v < -2^(1/2), u =
v, x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [0, 0
], [2, 2]]]], [[1, 12, 3, 6, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,
x < -1), y = -x, z < 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-2, -2], [2, 2], [-1, -1]]]], [[1, 12, 3, 6, 2], [v < -2^(1/2), u = (v
^2-2)^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [2, 2], [0, 0]]]], [[1, 12, 3, 6, 3],
[v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [2, 2], [1,
1]]]], [[1, 13, 8, 2, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576]
, [-3163225/1048576, -395403/131072], [-3, -3]]]], [[1, 13, 8, 2, 2], [v < -2^
(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v
^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [133259/262144, 533037/1048576], [-3163225/1048576, -395403/
131072], [-3321417/2097152, -415177/262144]]]], [[1, 13, 8, 2, 3], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576], [-\
3163225/1048576, -395403/131072], [0, 0]]]], [[1, 13, 8, 2, 4], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/262144, 533037/1048576], [-3163225/1048576, -395403/131072],
[415177/262144, 1660709/1048576]]]], [[1, 13, 8, 2, 5], [v < -2^(1/2), And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+
1)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/262144, 533037/1048576], [-3163225/1048576, -395403/131072], [3, 3]]]],
[[1, 18, 1, 3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-\
2), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[1, 18, 1, 3, 2], [v < -2^(1/2),
u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [1/2, 1/2
], [-3315889/2097152, -207243/131072]]]], [[1, 18, 1, 3, 3], [v < -2^(1/2), u
= (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3]
, [1/2, 1/2], [0, 0]]]], [[1, 18, 1, 3, 4], [v < -2^(1/2), u = (v^2+1)^(1/2),
x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[1, 18, 1, 3, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, And(
0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[1, 19, 7, 8, 1], [v < -2^
(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y =
u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [129511/524288, 129511/524288], [129511/524288, 259023/1048576], [0,
0]]]], [[2, 4, 1, 7, 1], [v = -2^(1/2), u = -3^(1/2), x < -2, -x < y, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [4, 4], [0, 0]]]], [[2, 5, 8, 3, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = 0, And(-u^2+1 < y,y < u^2-3), z < -(-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1, -1], [-2, -2]]]], [[2, 5, 8, 3, 2], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x = 0, And(-u^2+1 < y,y < u^2-3), z = -(-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1, -1], [-1, -1]]]], [[2, 5, 8, 3, 3], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x = 0, And(-u^2+1 < y,y < u^2-3), And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1, -1], [0, 0]]]], [[2, 5, 8, 3,
4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, And(-u^2+1 < y,y < u^2-3),
z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1, -1], [1, 1]]]], [[2, 5, 8, 3,
5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, And(-u^2+1 < y,y < u^2-3),
(-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1, -1], [2, 2]]]], [[2, 6, 1, 2,
1], [v = -2^(1/2), u = v, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [0, 0], [-3, -3]]]], [[2, 6, 1, 2, 2], [v = -2^(1/2), u = v, x < -1, y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-1482911/1048576, -741455
/524288]]]], [[2, 6, 1, 2, 3], [v = -2^(1/2), u = v, x < -1, y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [0, 0]]]], [[2, 6, 1,
2, 4], [v = -2^(1/2), u = v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -\
2], [0, 0], [741455/524288, 1482911/1048576]]]], [[2, 6, 1, 2, 5], [v = -2^(1/
2), u = v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [3, 3]]
]], [[2, 7, 9, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(
-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-24446187/
33554432, -24446187/33554432], [-2, -2]]]], [[2, 7, 9, 5, 2], [v = -2^(1/2), 
And(v < u,u < -1), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187/33554432], [-\
31331/65536, -501295/1048576]]]], [[2, 7, 9, 5, 3], [v = -2^(1/2), And(v < u,u
< -1), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187/
33554432], [0, 0]]]], [[2, 7, 9, 5, 4], [v = -2^(1/2), And(v < u,u < -1), And(
0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-24446187/33554432, -24446187/33554432], [501295/1048576, 31331/65536]]
]], [[2, 7, 9, 5, 5], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(
-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-24446187/
33554432, -24446187/33554432], [2, 2]]]], [[2, 13, 9, 4, 1], [v = -2^(1/2), 
And(1 < u,u < -v), And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-4014395/4194304, -16057579/16777216], [-2, -2]]]], [[2
, 13, 9, 4, 2], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y = -u^2-x
+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/
16777216], [-1417877/2097152, -354469/524288]]]], [[2, 13, 9, 4, 3], [v = -2^(
1/2), And(1 < u,u < -v), And(0 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) <
z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/
16777216], [0, 0]]]], [[2, 13, 9, 4, 4], [v = -2^(1/2), And(1 < u,u < -v), And
(0 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
4014395/4194304, -16057579/16777216], [354469/524288, 708939/1048576]]]], [[2,
13, 9, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y = -u^2-x+1
, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/
16777216], [2, 2]]]], [[2, 15, 6, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), x = u^2-3, And(-2*u^2+4 < y,y < 0), z < -(-u^2-y+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [-15929779/33554432, -15929779/33554432], [-\
2, -2]]]], [[2, 15, 6, 3, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-\
3, And(-2*u^2+4 < y,y < 0), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1101541/
2097152, -275385/524288], [-15929779/33554432, -15929779/33554432], [-\
8796093022095/8796093022208, -72057594037002239/72057594037927936]]]], [[2, 15
, 6, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 <
y,y < 0), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [-15929779/33554432, -15929779/33554432], [-\
68718551039/144115188075855872, -68718551039/144115188075855872]]]], [[2, 15,
6, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,
y < 0), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288
], [-15929779/33554432, -15929779/33554432], [1048575/1048576, 1]]]], [[2, 15,
6, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,
y < 0), (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288
], [-15929779/33554432, -15929779/33554432], [2, 2]]]], [[2, 19, 7, 1, 1], [v
= -2^(1/2), 2 < u, And(0 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-10,
-10], [-5, -5]]]], [[2, 19, 7, 1, 2], [v = -2^(1/2), 2 < u, And(0 < x,x < 1),
y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1/2, 1/2], [-10, -10], [-3231929/1048576, -403991/131072]]]]
, [[2, 19, 7, 1, 3], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), y < -u^2-x+1, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1/2, 1/2], [-10, -10], [0, 0]]]], [[2, 19, 7, 1, 4],
[v = -2^(1/2), 2 < u, And(0 < x,x < 1), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-10,
-10], [403991/131072, 3231929/1048576]]]], [[2, 19, 7, 1, 5], [v = -2^(1/2), 2
< u, And(0 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-10, -10], [5, 5]]]], [
[3, 1, 9, 4, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-7909297/2097152, -\
7909297/2097152], [-1, -1]]]], [[3, 1, 9, 4, 2], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/
2097152], [-7909297/2097152, -7909297/2097152], [0, 0]]]], [[3, 1, 9, 4, 3], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x
, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [-7909297/2097152, -7909297/2097152], [1, 1
]]]], [[3, 7, 11, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-5,
-5], [-3, -3]]]], [[3, 7, 11, 1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2
, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[3, 7, 11, 1, 3], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-\
1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-5,
-5], [-1/4194304, -1/4194304]]]], [[3, 7, 11, 1, 4], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[3,
7, 11, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x,
y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-5, -5], [3,
3]]]], [[3, 9, 6, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [0, 0], [-1, -1]]]], [[3, 9, 6, 4, 2], [And(
-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = 0,
z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [0, 0],
[0, 0], [0, 0]]]], [[3, 9, 6, 4, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(
1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [0, 0], [1, 1]]]], [[3, 17, 7, 5,
1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-x < y
,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3]
, [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[4, 1, 9, 8, 1], [v = -1, u < -3^(1/2)
, And(1 < x,x < u^2-2), y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [-3, -\
3], [4, 4], [3, 3], [0, 0]]]], [[4, 7, 11, 3, 1], [v = -1, And(-1 < u,u < 0),
1 < x, And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-1/2, -1/2], [2, 2], [-3, -3], [-2, -2]]]], [[4, 7, 11, 3, 2], [v = -1,
And(-1 < u,u < 0), 1 < x, And(u^2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-3, -3], [-1, -1]]]], [[4, 7,
11, 3, 3], [v = -1, And(-1 < u,u < 0), 1 < x, And(u^2-x-2 < y,y < -u^2-x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [2, 2], [-3, -3], [0, 0]]]], [[4, 7, 11, 3, 4], [v = -1, And(-1 < u,u < 0),
1 < x, And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [-1/2, -1/2], [2, 2], [-3, -3], [1, 1]]]], [[4, 7, 11, 3, 5], [v = -1, And
(-1 < u,u < 0), 1 < x, And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-3, -3], [2, 2]]]], [[4, 9, 6
, 6, 1], [v = -1, And(0 < u,u < 1), x = -u^2, y = u^2, z < 0], [regular_chain,
[[-1, -1], [1/2, 1/2], [-1/4, -1/4], [1/4, 1/4], [-1, -1]]]], [[4, 9, 6, 6, 2]
, [v = -1, And(0 < u,u < 1), x = -u^2, y = u^2, z = 0], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1/4, -1/4], [1/4, 1/4], [0, 0]]]], [[4, 9, 6, 6, 3], [v = -\
1, And(0 < u,u < 1), x = -u^2, y = u^2, 0 < z], [regular_chain, [[-1, -1], [1/
2, 1/2], [-1/4, -1/4], [1/4, 1/4], [1, 1]]]], [[4, 13, 11, 2, 1], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -u^2-x, z < -u], [regular_chain, [[-1, -\
1], [3299097/2097152, 3299097/2097152], [2, 2], [-2346055/524288, -4692109/
1048576], [-3, -3]]]], [[4, 13, 11, 2, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2
)), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [2, 2], [-2346055/524288, -4692109/1048576], [-3299097/
2097152, -3299097/2097152]]]], [[4, 13, 11, 2, 3], [v = -1, And(2^(1/2) < u,u
< 3^(1/2)), 1 < x, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [2, 2], [-2346055/524288, -4692109/1048576
], [-1/4194304, -1/4194304]]]], [[4, 13, 11, 2, 4], [v = -1, And(2^(1/2) < u,u
< 3^(1/2)), 1 < x, y = -u^2-x, z = u], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [2, 2], [-2346055/524288, -4692109/1048576], [
412387/262144, 1649549/1048576]]]], [[4, 13, 11, 2, 5], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), 1 < x, y = -u^2-x, u < z], [regular_chain, [[-1, -1], [3299097
/2097152, 3299097/2097152], [2, 2], [-2346055/524288, -4692109/1048576], [3, 3
]]]], [[4, 15, 4, 7, 1], [v = -1, 3^(1/2) < u, x = -1, And(1 < y,y < u^2-1), z
= z], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [9/2, 9/2], [0, 0]]]], [[5,
5, 11, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^
2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-2721571/1048576, -5443141/2097152], [-2,
-2]]]], [[5, 5, 11, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v),
1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-1696631/2097152, -1696631/2097152], [2, 2], [-2721571/1048576, -5443141/
2097152], [-1618333/2097152, -3236665/4194304]]]], [[5, 5, 11, 4, 3], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+
v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-2721571/1048576, -5443141/
2097152], [-1/8388608, -1/8388608]]]], [[5, 5, 11, 4, 4], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2],
[-2721571/1048576, -5443141/2097152], [404583/524288, 809167/1048576]]]], [[5,
5, 11, 4, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^
2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-2721571/1048576, -5443141/2097152], [2,
2]]]], [[5, 7, 8, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, And(-u^
2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
0, 0], [-3/8, -3/8], [-2, -2]]]], [[5, 7, 8, 5, 2], [And(-1 < v,v < 0), And(v
< u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3/8, -3/8], [-1284239/2097152,
-642119/1048576]]]], [[5, 7, 8, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3/8, -3/8], [0, 0]]]], [[5, 7,
8, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y <
0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3/8, -3/
8], [642119/1048576, 80265/131072]]]], [[5, 7, 8, 5, 5], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3/8, -3/8], [2, 2]]]], [[5, 8,
1, 6, 1], [And(-1 < v,v < 0), u = -v, x < -1, y = -x, z < 0], [regular_chain,
[[-1/2, -1/2], [1/2, 1/2], [-2, -2], [2, 2], [-1, -1]]]], [[5, 8, 1, 6, 2], [
And(-1 < v,v < 0), u = -v, x < -1, y = -x, z = 0], [regular_chain, [[-1/2, -1/
2], [1/2, 1/2], [-2, -2], [2, 2], [0, 0]]]], [[5, 8, 1, 6, 3], [And(-1 < v,v <
0), u = -v, x < -1, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2],
[-2, -2], [2, 2], [1, 1]]]], [[5, 9, 9, 9, 1], [And(-1 < v,v < 0), And(-v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1/2, -\
1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [1, 1], [0, 0]]]], [[6,
2, 5, 4, 1], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[6, 2, 5, 4, 2], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[6, 2,
5, 4, 3], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,
z < (-x)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[-1/2, -1/2], [0, 0], [0, 0]]]], [[6, 2, 5, 4, 4], [v = 0, u = -2^(1/2), And(-\
1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]
]], [[6, 2, 5, 4, 5], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/
2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [0, 0], [2, 2]]]], [[6, 3, 10, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1),
x = 1, y = -u^2-2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [1, 1], [-3625039/1048576, -1812519/524288], [-3,
-3]]]], [[6, 3, 10, 2, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-2
, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [1, 1], [-3625039/1048576, -1812519/524288], [-410915/262144, -\
3287319/2097152]]]], [[6, 3, 10, 2, 3], [v = 0, And(-2^(1/2) < u,u < -1), x =
1, y = -u^2-2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [-3625039/1048576, -\
1812519/524288], [-1/4194304, -1/4194304]]]], [[6, 3, 10, 2, 4], [v = 0, And(-
2^(1/2) < u,u < -1), x = 1, y = -u^2-2, z = (u^2+1)^(1/2)], [regular_chain, [[
0, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [-3625039/1048576, -\
1812519/524288], [1643659/1048576, 410915/262144]]]], [[6, 3, 10, 2, 5], [v =
0, And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-2, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
3625039/1048576, -1812519/524288], [3, 3]]]], [[6, 8, 4, 2, 1], [v = 0, u = 1,
x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1,
-1], [-3, -3]]]], [[6, 8, 4, 2, 2], [v = 0, u = 1, x = -1, y = -1, z = -2^(1/2
)], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[6, 8, 4, 2, 3], [v = 0, u = 1, x = -1, y = -1, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [0,
0]]]], [[6, 8, 4, 2, 4], [v = 0, u = 1, x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[6, 8, 4, 2, 5], [v = 0, u = 1, x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [-1, -1], [3, 3]]]], [[6, 9, 10, 1,
1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y < -u^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-5, -5],
[-3, -3]]]], [[6, 9, 10, 1, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y < -u^
2-2, z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [1, 1], [-5, -5], [-2, -2]]]], [[6, 9, 10, 1, 3], [v = 0, And(1 < u,
u < 2^(1/2)), x = 1, y < -u^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-5, -5],
[0, 0]]]], [[6, 9, 10, 1, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y < -u^2-\
2, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [1, 1], [-5, -5], [2, 2]]]], [[6, 9, 10, 1, 5], [v = 0, And(1 < u,u
< 2^(1/2)), x = 1, y < -u^2-2, (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1, 1], [-5, -5], [3, 3]]]], [[7, 4, 4, 4,
1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, y = 0, z < -1], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [0,
0], [-2, -2]]]], [[7, 4, 4, 4, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x =
-1, y = 0, z = -1], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [0, 0], [-1, -1]]]], [[7, 4, 4, 4, 3], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/2,
1/2], [-146543/131072, -1172343/1048576], [-1, -1], [0, 0], [0, 0]]]], [[7, 4,
4, 4, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [0,
0], [1, 1]]]], [[7, 4, 4, 4, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1
, y = 0, 1 < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[7, 5, 10, 3, 1], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z <
-(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [-2, -2], [-2, -2]]]], [[7, 5, 10, 3, 2], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z =
-(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [-2, -2], [-1, -1]]]], [[7, 5, 10, 3, 3], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And(
-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [-2, -2], [0, 0]]]], [[7, 5, 10, 3, 4], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [-2, -2], [1, 1]]]], [[7, 5, 10, 3, 5], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [-2, -2], [2, 2]]]], [[8, 1, 1, 9, 1], [v
= 1, u < -3^(1/2), x < -u^2, u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [-3
, -3], [-10, -10], [18, 18], [0, 0]]]], [[8, 2, 4, 1, 1], [v = 1, u = -3^(1/2)
, x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-3, -3], [-3, -3]]]], [[8, 2, 4, 1, 2],
[v = 1, u = -3^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-3, -3], [-2, -2]]]], [[8
, 2, 4, 1, 3], [v = 1, u = -3^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-1, -1], [-3, -3], [0, 0]]]], [[8, 2, 4, 1, 4], [v = 1, u = -3^(1/2), x = -1,
y < -2, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373
/2097152], [-1, -1], [-3, -3], [2, 2]]]], [[8, 2, 4, 1, 5], [v = 1, u = -3^(1/
2), x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-3, -3], [3, 3]]]], [[8, 8, 7, 5, 1], [
v = 1, u = 0, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1
, 1], [0, 0], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[8, 10, 1, 1, 1], [v = 1,
u = 1, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2
, -2], [-1, -1], [-3, -3]]]], [[8, 10, 1, 1, 2], [v = 1, u = 1, x < -1, y < 0,
z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [-2, -2], [-1, -1], [-\
1816187/1048576, -3632373/2097152]]]], [[8, 10, 1, 1, 3], [v = 1, u = 1, x < -\
1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
1, 1], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[8, 10, 1, 1, 4], [v
= 1, u = 1, x < -1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1],
[-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[8, 10, 1, 1, 5], [v
= 1, u = 1, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1, 1],
[-2, -2], [-1, -1], [3, 3]]]], [[8, 14, 5, 6, 1], [v = 1, u = 3^(1/2), And(-1
< x,x < 0), y = -x, z < 0], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 14, 5, 6, 2], [v = 1, u
= 3^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1, 1], [908093
/524288, 1816187/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 14, 5, 6,
3], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]],
[[8, 15, 9, 7, 1], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(0 < y,y < u^
2-x-2), z = z], [regular_chain, [[1, 1], [3, 3], [4, 4], [3/2, 3/2], [0, 0]]]]
, [[9, 6, 7, 6, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[9, 8, 3, 4, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[9, 8, 3, 4, 2], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[9, 8,
3, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [0, 0], [0
, 0]]]], [[9, 8, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2
< x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [0, 0], [
642119/524288, 1284239/1048576]]]], [[9, 8, 3, 4, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3
/2, -3/2], [0, 0], [3, 3]]]], [[9, 8, 9, 1, 1], [And(1 < v,v < 2^(1/2)), u = -
(v^2-1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-5, -5
], [-3, -3]]]], [[9, 8, 9, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 8, 9, 1, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[9, 8, 9, 1, 4
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152,
-354469/524288], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[9, 8
, 9, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, (-x-
y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [2, 2], [-5, -5], [3, 3]]]], [[9, 10, 2, 4, 1], [And
(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y = 2, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2]
, [2, 2], [-1, -1]]]], [[9, 10, 2, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)
^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 
10, 2, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y = 2, 0 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939
/1048576], [-2, -2], [2, 2], [1, 1]]]], [[9, 16, 6, 1, 1], [And(1 < v,v < 2^(1
/2)), u = (v^2+2)^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-\
4, -4], [-3, -3]]]], [[9, 16, 6, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-4, -4], [-2, -2]]
]], [[9, 16, 6, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y <
-3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-4, -4], [0, 0]]]]
, [[9, 16, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y < -3
, z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [0, 0], [-4, -4], [2, 2]]]], [[9, 16, 6, 1, 5]
, [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-4, -4], [3, 3]]]], [[9, 17, 10, 2, 1], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/
1048576, 3430361/524288], [-15818595/1048576, -7909297/524288], [-4, -4]]]], [
[9, 17, 10, 2, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1,
y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-15818595/
1048576, -7909297/524288], [-1532401/524288, -24518415/8388608]]]], [[9, 17, 
10, 2, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u
^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288]
, [-15818595/1048576, -7909297/524288], [-7/16777216, -7/16777216]]]], [[9, 17
, 10, 2, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2
*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-15818595/1048576, -\
7909297/524288], [3064801/1048576, 1532401/524288]]]], [[9, 17, 10, 2, 5], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [6860721/1048576, 3430361/524288], [-15818595/1048576, -7909297/524288], [
4, 4]]]], [[10, 4, 9, 2, 1], [v = 2^(1/2), u = -3^(1/2), 1 < x, y = -x-2, z <
-2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [2, 2], [-4, -4], [-3, -3]]]], [[10, 4, 9, 2, 2],
[v = 2^(1/2), u = -3^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2],
[-4, -4], [-1482911/1048576, -741455/524288]]]], [[10, 4, 9, 2, 3], [v = 2^(1/
2), u = -3^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [2, 2], [-4, -4], [0, 0]]]], [[10, 4, 9, 2, 4], [v = 2^(1/2), u = -3
^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [-4, -4], [
741455/524288, 1482911/1048576]]]], [[10, 4, 9, 2, 5], [v = 2^(1/2), u = -3^(1
/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [-4, -4], [3, 3]]]], [
[10, 6, 2, 5, 1], [v = 2^(1/2), u = -v, x = -1, 1 < y, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1
], [2, 2], [0, 0]]]], [[10, 12, 5, 3, 1], [v = 2^(1/2), u = 1, And(-1 < x,x <
0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1, 1], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[10, 12, 5
, 3, 2], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2,
-1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[10, 12, 5, 3, 3]
, [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[10, 12, 5, 3, 4], [v = 2^(1/2
), u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [-3/4,
-3/4], [1172343/1048576, 146543/131072]]]], [[10, 12, 5, 3, 5], [v = 2^(1/2),
u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [-3/4,
-3/4], [3, 3]]]], [[10, 13, 10, 5, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1,
And(-u^2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-1288231/
1048576, -1288231/1048576], [-2, -2]]]], [[10, 13, 10, 5, 2], [v = 2^(1/2), 
And(1 < u,u < v), x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [-501295/1048576, -\
250647/524288]]]], [[10, 13, 10, 5, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1,
And(-u^2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1
], [-1288231/1048576, -1288231/1048576], [0, 0]]]], [[10, 13, 10, 5, 4], [v =
2^(1/2), And(1 < u,u < v), x = 1, And(-u^2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [250647/524288, 501295
/1048576]]]], [[10, 13, 10, 5, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(
-u^2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-1288231/1048576, -\
1288231/1048576], [2, 2]]]], [[11, 2, 7, 8, 1], [2^(1/2) < v, u = -(v^2+2)^(1/
2), And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[11, 3, 11, 9,
1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, 0 < y, z
= z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [
1, 1], [0, 0]]]], [[11, 10, 4, 6, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1
, y = 1, z < 0], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576]
, [-1, -1], [1, 1], [-1, -1]]]], [[11, 10, 4, 6, 2], [2^(1/2) < v, u = -(v^2-2
)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1, -1], [1, 1], [0, 0]]]], [[11, 10, 4, 6, 3], [2^(1/2) <
v, u = -(v^2-2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [1, 1], [1, 1]]]], [[11, 11, 8,
7, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, And(0 <
y,y < -u^2+v^2-2), z = z], [regular_chain, [[3, 3], [0, 0], [1, 1], [7/2, 7/2]
, [0, 0]]]], [[11, 15, 10, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144],
[-3, -3]]]], [[11, 15, 10, 2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144],
[-1287385/1048576, -160923/131072]]]], [[11, 15, 10, 2, 3], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1, 1], [-5258313/2097152, -657289/262144], [0, 0]]]], [[11, 15, 10,
2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z = (
-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152
], [1, 1], [-5258313/2097152, -657289/262144], [160923/131072, 1287385/1048576
]]]], [[11, 15, 10, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1,
y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [3, 3]]
]], [[11, 17, 6, 6, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^
2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-531193/1048576, -1062385/2097152], [66399/131072, 531193/1048576],
[-1, -1]]]], [[11, 17, 6, 6, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-531193/1048576, -1062385/2097152], [66399/131072, 531193/
1048576], [0, 0]]]], [[11, 17, 6, 6, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [66399/131072, 
531193/1048576], [1, 1]]]], [[1, 1, 2, 7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2
), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-3, -3], [-5, -5
], [-17, -17], [33, 33], [0, 0]]]], [[1, 2, 5, 3, 1], [v < -2^(1/2), u = -(v^2
+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [
-5/4, -5/4], [-3, -3]]]], [[1, 2, 5, 3, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2),
And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [-5/4, -5/4], [-\
10837/8192, -1387135/1048576]]]], [[1, 2, 5, 3, 3], [v < -2^(1/2), u = -(v^2+2
)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[1, 2, 5, 3, 4], [v < -2^(1/2), u = -(v
^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [
-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[1, 2, 5, 3, 5], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z
], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2
], [-5/4, -5/4], [3, 3]]]], [[1, 8, 8, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2
), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 10, 2, 3, 1
], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/
2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3]
, [3/2, 3/2], [-3, -3]]]], [[1, 10, 2, 3, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2
), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-3, -3], [3/2, 3/2], [-1284239/1048576, -\
642119/524288]]]], [[1, 10, 2, 3, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -\
3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [
[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [3/2, 3/2], [0, 0]]]
], [[1, 10, 2, 3, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, And(0 < y,y <
3), z = (3-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[1, 10,
2, 3, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(
1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-\
3, -3], [3/2, 3/2], [3, 3]]]], [[1, 14, 1, 1, 1], [v < -2^(1/2), u = (v^2-1)^(
1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[1, 14, 1, 1, 2],
[v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [-1, -1]
, [-2, -2]]]], [[1, 14, 1, 1, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y
< 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[1, 14, 1, 1,
4], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [-1, -1]
, [2, 2]]]], [[1, 14, 1, 1, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y <
0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3, -3], [-1, -1], [3, 3]]]], [[1, 15, 7, 6, 1], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [0, 0], [-2, -2]]]], [[1, 15, 7, 6, 2], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, z = -(-x)
^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [0, 0], [-16263/32768, -520415/1048576]]]],
[[1, 15, 7, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-\
1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152]
, [0, 0], [0, 0]]]], [[1, 15, 7, 6, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152],
[0, 0], [520415/1048576, 16263/32768]]]], [[1, 15, 7, 6, 5], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, (-x)^(1/2) <
z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [0, 0], [2, 2]]]], [[1, 21, 9, 1, 1], [v < -2^(1/2)
, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-26, -26], [-6, -6]]]], [[1
, 21, 9, 1, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [8, 8],
[-26, -26], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 9, 1, 3], [v < -2
^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [8, 8],
[-26, -26], [0, 0]]]], [[1, 21, 9, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, 
And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [5, 5], [8, 8], [-26, -26], [4448731/1048576, 1112183/262144]]]], [
[1, 21, 9, 1, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [8, 8]
, [-26, -26], [6, 6]]]], [[2, 1, 11, 6, 1], [v = -2^(1/2), u < -2, u^2-3 < x,
y = u^2-x-3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [7, 7], [-1, -1], [0, 0]]]], [[2, 10, 1, 4, 1], [v = -2^(1/2), u = 0, x <
-3, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-4, -4], [1, 1], [-3, -3]]]], [[2, 10, 1, 4, 2], [v = -2^(1/
2), u = 0, x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [0, 0], [-4, -4], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[2, 10, 1, 4, 3], [v = -2^(1/2), u = 0, x < -3, y = -x-3, And(-3
^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[2, 10, 1, 4, 4], [v =
-2^(1/2), u = 0, x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-4, -4], [1, 1], [908093/524288, 1816187/
1048576]]]], [[2, 10, 1, 4, 5], [v = -2^(1/2), u = 0, x < -3, y = -x-3, 3^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4],
[1, 1], [3, 3]]]], [[2, 11, 5, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1
< x,x < 0), -u^2-x+1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-1/2, -1/2], [3, 3], [0, 0]]]], [[2, 17, 9, 6, 1], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y = u^2-x-3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-271555/1048576, -135777/524288], [
0, 0]]]], [[2, 19, 3, 2, 1], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y =
-u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9/2, -9/2], [-7/2, -7/2], [-4, -4]]]], [[2, 19, 3, 2, 2], [
v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [
-7/2, -7/2], [-2965821/1048576, -11863283/4194304]]]], [[2, 19, 3, 2, 3], [v =
-2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,
z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608, -3/8388608]]]], [[2, 19, 3, 2, 4]
, [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2],
[-7/2, -7/2], [741455/262144, 2965821/1048576]]]], [[2, 19, 3, 2, 5], [v = -2^
(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-7/
2, -7/2], [4, 4]]]], [[3, 3, 10, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [-273305/1048576, -273305/1048576], [0, 0]]]], [[3,
5, 6, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2
-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [-2, -2], [-3, -3]]]], [[3, 5, 6, 1, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y < -2
*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-2, -2], [-3337355/2097152, -1668677/1048576]]]], [[3, 5, 6,
1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1
, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [-2, -2], [0, 0]]]], [[
3, 5, 6, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [-2, -2], [1668677/1048576, 834339/524288]]
]], [[3, 5, 6, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v)
, x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1116679/2097152, -558339/1048576], [-2, -2], [3, 3]]]], [[3, 11, 9, 7, 1], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And
(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3, 13
, 6, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-
v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/
262144], [139585/262144, 558341/1048576], [-1, -1]]]], [[3, 13, 6, 6, 2], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+
v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701
/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [139585/262144
, 558341/1048576], [0, 0]]]], [[3, 13, 6, 6, 3], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [139585/262144, 558341/
1048576], [1, 1]]]], [[3, 13, 10, 8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [0, 0], [0, 0]]
]], [[3, 15, 6, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [0, 0],
[-1299559/524288, -2599117/1048576], [-3, -3]]]], [[3, 15, 6, 2, 2], [And(-2^(
1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^
2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [-1299559/524288, -2599117/
1048576], [-3301741/2097152, -825435/524288]]]], [[3, 15, 6, 2, 3], [And(-2^(1
/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2
-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-\
1299559/524288, -2599117/1048576], [0, 0]]]], [[3, 15, 6, 2, 4], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [0, 0], [-1299559/524288, -2599117/1048576], [
825435/524288, 1650871/1048576]]]], [[3, 15, 6, 2, 5], [And(-2^(1/2) < v,v < -\
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [0, 0], [-1299559/524288, -2599117/1048576], [3, 3]]]]
, [[4, 3, 11, 1, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y < -u^2-
x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [2, 2], [-6, -6], [-3, -3]]]], [[4, 3, 11, 1, 2], [v = -1, And(-3^(1
/2) < u,u < -2^(1/2)), 1 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [-6, -6], [-2, -2]]]]
, [[4, 3, 11, 1, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y < -u^2-
x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-6, -6], [0, 0]]]], [[4, 3, 11, 1
, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y < -u^2-x, z = (-x-y)^(
1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2]
, [-6, -6], [2, 2]]]], [[4, 3, 11, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/
2)), 1 < x, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-6, -6], [3, 3]]]], [[4, 5, 6, 4,
1], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = 0, z < -(-u^2+2)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [0, 0], [-2, -2]]]], [[4, 5, 6, 4, 2], [v = -1, And
(-2^(1/2) < u,u < -1), x = u^2-2, y = 0, z = -(-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/
1048576], [0, 0], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 6, 4, 3], [v
= -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = 0, And(-(-u^2+2)^(1/2) < z,z <
(-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [0, 0], [-1/4194304, -1/4194304
]]]], [[4, 5, 6, 4, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = 0, z
= (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [0, 0], [193151/262144, 772605/
1048576]]]], [[4, 5, 6, 4, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y
= 0, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0], [2, 2]]]], [[4,
9, 10, 9, 1], [v = -1, And(0 < u,u < 1), x = 1, 0 < y, z = z], [regular_chain,
[[-1, -1], [1/2, 1/2], [1, 1], [1, 1], [0, 0]]]], [[4, 11, 8, 1, 1], [v = -1,
And(1 < u,u < 2^(1/2)), x = 0, y < -u^2, z < -(-y)^(1/2)], [regular_chain, [[-\
1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[4
, 11, 8, 1, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y < -u^2, z = -(-y)^(1
/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [
-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[4, 11, 8, 1, 3], [v = -1,
And(1 < u,u < 2^(1/2)), x = 0, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-3, -3
], [-1/4194304, -1/4194304]]]], [[4, 11, 8, 1, 4], [v = -1, And(1 < u,u < 2^(1
/2)), x = 0, y < -u^2, z = (-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]
]], [[4, 11, 8, 1, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y < -u^2, (-y)^
(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0,
0], [-3, -3], [3, 3]]]], [[5, 2, 3, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1
/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-2, -2], [5/2, 5/2], [0, 0]]]], [[5, 3, 8, 3, 1], [And(-\
1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-\
2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576
], [-28442235/16777216, -28442235/16777216], [-3, -3]]]], [[5, 3, 8, 3, 2], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1,
And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [-28442235/16777216, -28442235/16777216], [-1163761/1048576
, -72735/65536]]]], [[5, 3, 8, 3, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), 
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1
/2, -1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576],
[-28442235/16777216, -28442235/16777216], [0, 0]]]], [[5, 3, 8, 3, 4], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576],
[-28442235/16777216, -28442235/16777216], [72735/65536, 1163761/1048576]]]], [
[5, 3, 8, 3, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
524288, 486043/1048576], [-28442235/16777216, -28442235/16777216], [3, 3]]]],
[[5, 12, 1, 8, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y = 1-x, z =
z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [5, 5], [0, 0]]]], [[
5, 13, 6, 4, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, y = 0, z < 0],
[regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [0, 0], [-1, -1]]]], [[5, 13, 6
, 4, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, y = 0, z = 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [0, 0], [0, 0]]]], [[5, 13, 6, 4
, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, y = 0, 0 < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [0, 0], [1, 1]]]], [[6, 6, 2, 3,
1], [v = 0, u = 0, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain
, [[0, 0], [0, 0], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[6, 6, 2, 3, 2], [v = 0
, u = 0, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[0, 0],
[0, 0], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[6, 6,
2, 3, 3], [v = 0, u = 0, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-1, -1], [1/2, 1/2], [0, 0]]]],
[[6, 6, 2, 3, 4], [v = 0, u = 0, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/
65536]]]], [[6, 6, 2, 3, 5], [v = 0, u = 0, x = -1, And(0 < y,y < 1), (1-y)^(1
/2) < z], [regular_chain, [[0, 0], [0, 0], [-1, -1], [1/2, 1/2], [2, 2]]]], [[
6, 7, 10, 4, 1], [v = 0, And(0 < u,u < 1), x = 1, y = u^2-2, z < -(-u^2+1)^(1/
2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-7/4, -7/4], [-2, -2]]]], [
[6, 7, 10, 4, 2], [v = 0, And(0 < u,u < 1), x = 1, y = u^2-2, z = -(-u^2+1)^(1
/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-7/4, -7/4], [-1816187/
2097152, -3632373/4194304]]]], [[6, 7, 10, 4, 3], [v = 0, And(0 < u,u < 1), x
= 1, y = u^2-2, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [regular_chain,
[[0, 0], [1/2, 1/2], [1, 1], [-7/4, -7/4], [-1/8388608, -1/8388608]]]], [[6, 7
, 10, 4, 4], [v = 0, And(0 < u,u < 1), x = 1, y = u^2-2, z = (-u^2+1)^(1/2)],
[regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-7/4, -7/4], [908093/1048576, 
454047/524288]]]], [[6, 7, 10, 4, 5], [v = 0, And(0 < u,u < 1), x = 1, y = u^2
-2, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-7/4, -\
7/4], [2, 2]]]], [[6, 11, 11, 2, 1], [v = 0, 2^(1/2) < u, u^2-1 < x, y = -u^2-
x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [-19, -19],
[-5, -5]]]], [[6, 11, 11, 2, 2], [v = 0, 2^(1/2) < u, u^2-1 < x, y = -u^2-x-1,
z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [-19, -19], [-\
3315889/1048576, -207243/65536]]]], [[6, 11, 11, 2, 3], [v = 0, 2^(1/2) < u, u
^2-1 < x, y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [9, 9], [-19, -19], [0, 0]]]], [[6, 11, 11, 2,
4], [v = 0, 2^(1/2) < u, u^2-1 < x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [9, 9], [-19, -19], [207243/65536, 3315889/
1048576]]]], [[6, 11, 11, 2, 5], [v = 0, 2^(1/2) < u, u^2-1 < x, y = -u^2-x-1,
(u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [9, 9], [-19, -19], [5, 5
]]]], [[7, 2, 2, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, And(3 <
y,y < 4), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [7/2, 7
/2], [0, 0]]]], [[7, 8, 5, 1, 1], [And(0 < v,v < 1), u = v, And(0 < x,x < 1),
y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1
/2], [-3, -3], [-3, -3]]]], [[7, 8, 5, 1, 2], [And(0 < v,v < 1), u = v, And(0
< x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1
/2], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[7, 8, 5, 1
, 3], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [
-3, -3], [0, 0]]]], [[7, 8, 5, 1, 4], [And(0 < v,v < 1), u = v, And(0 < x,x <
1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2
, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[7, 8, 5, 1, 5], [And(
0 < v,v < 1), u = v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-3, -3], [3, 3]]]], [[7,
10, 1, 1, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y < 0, z < -(-x-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -\
3], [-1, -1], [-3, -3]]]], [[7, 10, 1, 1, 2], [And(0 < v,v < 1), u = (v^2+1)^(
1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343
/1048576, 146543/131072], [-3, -3], [-1, -1], [-2, -2]]]], [[7, 10, 1, 1, 3],
[And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072],
[-3, -3], [-1, -1], [0, 0]]]], [[7, 10, 1, 1, 4], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3, -3], [-1, -1], [2, 2]]]], [[7, 10, 1, 1,
5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [-1, -\
1], [3, 3]]]], [[7, 10, 6, 4, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 0,
y = 0, z < 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072],
[0, 0], [0, 0], [-1, -1]]]], [[7, 10, 6, 4, 2], [And(0 < v,v < 1), u = (v^2+1)
^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [0, 0], [0, 0], [0, 0]]]], [[7, 10, 6, 4, 3], [And(0 < v,v < 1
), u = (v^2+1)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [0, 0], [0, 0], [1, 1]]]], [[7, 11, 11, 4, 1]
, [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x,
z < 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [
-2, -2], [-1, -1]]]], [[7, 11, 11, 4, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [2, 2], [-2, -2], [0, 0]]]], [[7, 11, 11, 4, 3]
, [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x,
0 < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [
-2, -2], [1, 1]]]], [[8, 4, 7, 3, 1], [v = 1, u = -2^(1/2), And(0 < x,x < 1),
And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[8, 4, 7, 3,
2], [v = 1, u = -2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2
], [-3/2, -3/2], [-1, -1]]]], [[8, 4, 7, 3, 3], [v = 1, u = -2^(1/2), And(0 <
x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/2,
-3/2], [0, 0]]]], [[8, 4, 7, 3, 4], [v = 1, u = -2^(1/2), And(0 < x,x < 1), 
And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[8, 4, 7, 3, 5
], [v = 1, u = -2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2],
[-3/2, -3/2], [2, 2]]]], [[8, 5, 11, 8, 1], [v = 1, And(-2^(1/2) < u,u < -1),
1 < x, y = 0, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [2, 2], [0, 0], [0, 0]]]], [[8, 10, 6, 7, 1], [v = 1, u = 1, x = 1,
0 < y, z = z], [regular_chain, [[1, 1], [1, 1], [1, 1], [1, 1], [0, 0]]]], [[8
, 12, 2, 3, 1], [v = 1, u = 2^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2
)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [1, 1
], [-2, -2]]]], [[8, 12, 2, 3, 2], [v = 1, u = 2^(1/2), x = -2, And(0 < y,y <
2), z = -(2-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [-1, -1]]]], [[8, 12, 2, 3, 3], [v = 1, u = 2^(1/2
), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [0
, 0]]]], [[8, 12, 2, 3, 4], [v = 1, u = 2^(1/2), x = -2, And(0 < y,y < 2), z =
(2-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2,
-2], [1, 1], [1, 1]]]], [[8, 12, 2, 3, 5], [v = 1, u = 2^(1/2), x = -2, And(0
< y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911
/1048576], [-2, -2], [1, 1], [2, 2]]]], [[9, 2, 9, 6, 1], [And(1 < v,v < 2^(1/
2)), u = -(v^2+2)^(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-1,
-1], [0, 0]]]], [[9, 4, 3, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [-1/2, -\
1/2], [-3, -3]]]], [[9, 4, 3, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/
2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [
-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[9, 4, 3, 2, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2)
< z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[9,
4, 3, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1),
y = -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-410915/262144, -3287319/2097152], [-3/2, -3/2], [-1/2, -1/2], [741455/524288,
1482911/1048576]]]], [[9, 4, 3, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [
-1/2, -1/2], [3, 3]]]], [[9, 12, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 <
x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-5/2, -5/2],
[-2, -2]]]], [[9, 12, 7, 3, 2], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, And(-1-
x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-5/2, -5/2], [-1482911/
2097152, -741455/1048576]]]], [[9, 12, 7, 3, 3], [And(1 < v,v < 2^(1/2)), u =
v, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-5/2, -5/2], [0, 0]]]], [[9, 12, 7, 3, 4], [And(1 < v,v < 2
^(1/2)), u = v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2,
2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[9, 12, 7, 3, 5], [And(1
< v,v < 2^(1/2)), u = v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-5/2, -5/2], [2, 2]]]], [[9, 14, 3, 1, 1], [And(1 < v,v < 2
^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[9, 14, 3, 1, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]],
[[9, 14, 3, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x <
-1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3
/2], [-2, -2], [0, 0]]]], [[9, 14, 3, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2
+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3
/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[9, 14, 3, 1, 5], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[10, 2, 9, 9, 1], [v = 2^(
1/2), u = -2, 1 < x, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [1, 1], [0, 0]]]], [[10, 4, 3, 5, 1], [v = 2^(1/2)
, u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[10, 4, 3, 5, 2], [v = 2^(1/
2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [
[10, 4, 3, 5, 3], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[3/4, 3/4], [-1/8388608, -1/8388608]]]], [[10, 4, 3, 5, 4], [v = 2^(1/2), u =
-3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[10,
4, 3, 5, 5], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[10,
8, 9, 4, 1], [v = 2^(1/2), u = -1, 1 < x, y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-2, -2], [-1, -1]]]], [[10
, 8, 9, 4, 2], [v = 2^(1/2), u = -1, 1 < x, y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-2, -2], [0, 0]]]], [[10,
8, 9, 4, 3], [v = 2^(1/2), u = -1, 1 < x, y = -x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-2, -2], [1, 1]]]], [[10,
10, 2, 5, 1], [v = 2^(1/2), u = 0, x = -3, And(3 < y,y < 4), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [7/2, 7/2]
, [0, 0]]]], [[10, 16, 5, 5, 1], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4, 1/4],
[-2, -2]]]], [[10, 16, 5, 5, 2], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4, 1/4],
[-1/2, -1/2]]]], [[10, 16, 5, 5, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 16, 5, 5, 4], [v = 2^(1/2
), u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 16, 5, 5, 5], [v = 2^
(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 17, 10, 7, 1], [v = 2^(1/
2), And(3^(1/2) < u,u < 2), x = 1, And(u^2-4 < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [1, 1], [-1086217/4194304, -1086217/4194304], [0, 0]]]], [[10, 18, 4
, 2, 1], [v = 2^(1/2), u = 2, x = -1, y = -2, z < -3^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [-2, -2], [-3, -3]]]], [[
10, 18, 4, 2, 2], [v = 2^(1/2), u = 2, x = -1, y = -2, z = -3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [-2, -2],
[-1816187/1048576, -3632373/2097152]]]], [[10, 18, 4, 2, 3], [v = 2^(1/2), u =
2, x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]
]]], [[10, 18, 4, 2, 4], [v = 2^(1/2), u = 2, x = -1, y = -2, z = 3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [-2, -2],
[908093/524288, 1816187/1048576]]]], [[10, 18, 4, 2, 5], [v = 2^(1/2), u = 2,
x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [2, 2], [-1, -1], [-2, -2], [3, 3]]]], [[10, 19, 8, 3, 1], [v = 2^(1/2), 2
< u, x = 1, And(-u^2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [3, 3], [1, 1], [-5, -5], [-3, -3]]]], [[10, 19, 8,
3, 2], [v = 2^(1/2), 2 < u, x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-5, -5], [-\
2, -2]]]], [[10, 19, 8, 3, 3], [v = 2^(1/2), 2 < u, x = 1, And(-u^2 < y,y < -1
), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [1, 1], [-5, -5], [0, 0]]]], [[10, 19, 8, 3, 4], [v
= 2^(1/2), 2 < u, x = 1, And(-u^2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-5, -5], [2
, 2]]]], [[10, 19, 8, 3, 5], [v = 2^(1/2), 2 < u, x = 1, And(-u^2 < y,y < -1),
(-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[1, 1], [-5, -5], [3, 3]]]], [[11, 6, 5, 5, 1], [2^(1/2) < v, u = -v, And(0 <
x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-3, -3], [1/2,
1/2], [-1/4, -1/4], [0, 0]]]], [[11, 8, 1, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(
1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[11, 8, 1, 1, 2
], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-1,
-1], [-2, -2]]]], [[11, 8, 1, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2,
y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [-1, -1], [0, 0]]]], [[11, 8, 1
, 1, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-1,
-1], [2, 2]]]], [[11, 8, 1, 1, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y
< 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [-1, -1], [3, 3]]]], [[11, 12, 2, 3, 1], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[
3, 3], [2774271/1048576, 10837/4096], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[11,
12, 2, 3, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, And(0 < y,y < 3), z = -
(3-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3]
, [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[11, 12, 2, 3, 3], [2^(1
/2) < v, u = (v^2-2)^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z <
(3-y)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3
], [3/2, 3/2], [0, 0]]]], [[11, 12, 2, 3, 4], [2^(1/2) < v, u = (v^2-2)^(1/2),
x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]
], [[11, 12, 2, 3, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, And(0 < y,y <
3), (3-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096],
[-3, -3], [3/2, 3/2], [3, 3]]]], [[11, 13, 6, 4, 1], [2^(1/2) < v, And((v^2-2)
^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [0, 0], [0, 0], [-1, -1]]]], [[11, 13, 6, 4,
2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = 0, z =
0], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [0, 0],
[0, 0]]]], [[11, 13, 6, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [0, 0], [0, 0], [1, 1]]]], [[11, 19, 10, 3, 1], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z
< -(-y-1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[1, 1], [-1178087/524288, -1178087/524288], [-3, -3]]]], [[11, 19, 10, 3, 2],
[2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [1, 1], [-1178087/524288, -1178087/524288], [-1170947/
1048576, -585473/524288]]]], [[11, 19, 10, 3, 3], [2^(1/2) < v, And((v^2+1)^(1
/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/
2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [1, 1], [-1178087/524288, -1178087/524288], [0, 0]]]], [[11, 19, 10,
3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2
+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [1, 1], [-1178087/524288, -1178087/524288], [585473
/524288, 1170947/1048576]]]], [[11, 19, 10, 3, 5], [2^(1/2) < v, And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) <
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [-\
1178087/524288, -1178087/524288], [3, 3]]]], [[11, 21, 3, 4, 1], [2^(1/2) < v,
(v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [0, 0], [-4, -4]]]], [[11, 21, 3, 4,
2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(
-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [0, 0], [-3, -3]]]], [[
11, 21, 3, 4, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1),
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [5, 5],
[-9, -9], [0, 0], [0, 0]]]], [[11, 21, 3, 4, 4], [2^(1/2) < v, (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3]
, [5, 5], [-9, -9], [0, 0], [3, 3]]]], [[11, 21, 3, 4, 5], [2^(1/2) < v, (v^2+
2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [0, 0], [4, 4]]]], [[1, 4, 8, 3, 1],
[v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2
)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1], [-2,
-2], [-2, -2]]]], [[1, 4, 8, 3, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1,
And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [-2, -2], [-1, -1]]]], [[1, 4, 8, 3, 3], [v <
-2^(1/2), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z
,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [1, 1], [-2, -2], [0, 0]]]], [[1, 4, 8, 3, 4], [v < -2^(1/2), u = -(v^
2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3
, -3], [-3315889/1048576, -207243/65536], [1, 1], [-2, -2], [1, 1]]]], [[1, 4,
8, 3, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)
^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1,
1], [-2, -2], [2, 2]]]], [[1, 6, 2, 3, 1], [v < -2^(1/2), u = v, x = -1, And(0
< y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1, -1],
[1/2, 1/2], [-2, -2]]]], [[1, 6, 2, 3, 2], [v < -2^(1/2), u = v, x = -1, And(0
< y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 6, 2, 3, 3], [v < -2^
(1/2), u = v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 6
, 2, 3, 4], [v < -2^(1/2), u = v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)],
[regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[1, 6, 2, 3, 5], [v < -2^(1/2), u = v, x = -1, And(0 < y,y <
1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1/2, 1/2
], [2, 2]]]], [[1, 12, 3, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,
x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [1, 1], [-2, -2]]]], [[1, 12, 3, 5, 2]
, [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2,
-2], [1, 1], [-1, -1]]]], [[1, 12, 3, 5, 3], [v < -2^(1/2), u = (v^2-2)^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [1, 1],
[0, 0]]]], [[1, 12, 3, 5, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x <
-1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [-2, -2], [1, 1], [1, 1]]]], [[1, 12, 3, 5, 5], [v < -2
^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [1,
1], [2, 2]]]], [[1, 13, 8, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^
2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [-5, -5], [-4, -4]]]], [[1, 13, 8, 1, 2], [v < -2^(1/2), And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u
^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [133259/262144, 533037/1048576], [-5, -5], [-2222303/1048576, -1111151/
524288]]]], [[1, 13, 8, 1, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1
)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u
^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/262144, 533037/1048576], [-5, -5], [0, 0]]]], [[1, 13, 8, 1,
4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y
< 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [133259/262144, 533037/1048576], [-5, -5], [1111151/
524288, 2222303/1048576]]]], [[1, 13, 8, 1, 5], [v < -2^(1/2), And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2
) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/
262144, 533037/1048576], [-5, -5], [4, 4]]]], [[1, 18, 1, 4, 1], [v < -2^(1/2)
, u = (v^2+1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3
], [207243/65536, 3315889/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[1, 18, 1,
4, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [1, 1], [
-1482911/1048576, -741455/524288]]]], [[1, 18, 1, 4, 3], [v < -2^(1/2), u = (v
^2+1)^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [1, 1], [0, 0]]]], [[1,
18, 1, 4, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)]
, [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [1, 1]
, [741455/524288, 1482911/1048576]]]], [[1, 18, 1, 4, 5], [v < -2^(1/2), u = (
v^2+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-3, -3], [1, 1], [3, 3]]]], [[1, 19, 7, 9, 1]
, [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v
^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [129511/524288, 129511/524288], [2, 2], [0, 0]]]], [[2, 4, 1
, 6, 1], [v = -2^(1/2), u = -3^(1/2), x < -2, y = -x, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3
, -3], [3, 3], [-1, -1]]]], [[2, 4, 1, 6, 2], [v = -2^(1/2), u = -3^(1/2), x <
-2, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [3, 3], [0, 0]]]], [[2, 4, 1, 6,
3], [v = -2^(1/2), u = -3^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -\
3], [3, 3], [1, 1]]]], [[2, 5, 8, 2, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-1546383/
1048576, -773191/524288], [-3, -3]]]], [[2, 5, 8, 2, 2], [v = -2^(1/2), And(-3
^(1/2) < u,u < v), x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0]
, [-1546383/1048576, -773191/524288], [-636691/524288, -1273381/1048576]]]], [
[2, 5, 8, 2, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, y = -u^2+1, 
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0], [-1546383/
1048576, -773191/524288], [0, 0]]]], [[2, 5, 8, 2, 4], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), x = 0, y = -u^2+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [0, 0]
, [-1546383/1048576, -773191/524288], [1273381/1048576, 636691/524288]]]], [[2
, 5, 8, 2, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = 0, y = -u^2+1, (u^2
-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195
/4194304, -6598195/4194304], [0, 0], [-1546383/1048576, -773191/524288], [3, 3
]]]], [[2, 6, 1, 3, 1], [v = -2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911
/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[2, 6, 1, 3, 2]
, [v = -2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[2, 6,
1, 3, 3], [v = -2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [0, 0]]]], [[2, 6, 1,
3, 4], [v = -2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-2, -2], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[2, 6, 1
, 3, 5], [v = -2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-2, -2], [1/2, 1/2], [3, 3]]]], [[2, 7, 9, 6, 1], [v = -2^(1/
2), And(v < u,u < -1), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 7, 9, 6, 2], [v = -2^(1/2), And(v < u,u
< -1), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1/2, -1/2]
, [0, 0]]]], [[2, 7, 9, 6, 3], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x <
1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[2,
13, 9, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(u^2-x-3
< y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-12582911/
8388608, -12582911/8388608], [-2, -2]]]], [[2, 13, 9, 3, 2], [v = -2^(1/2), 
And(1 < u,u < -v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608],
[-16777215/16777216, -8796092497919/8796093022208]]]], [[2, 13, 9, 3, 3], [v =
-2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-12582911/
8388608, -12582911/8388608], [-7864319/17592186044416, -7864319/17592186044416
]]]], [[2, 13, 9, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), 
And(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
12582911/8388608, -12582911/8388608], [1048575/1048576, 1]]]], [[2, 13, 9, 3,
5], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u
^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-12582911/8388608, -\
12582911/8388608], [2, 2]]]], [[2, 15, 6, 2, 1], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [-3982445/4194304, -15929779/16777216], [-3,
-3]]]], [[2, 15, 6, 2, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3,
y = -2*u^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/
524288], [-3982445/4194304, -15929779/16777216], [-1273381/1048576, -318345/
262144]]]], [[2, 15, 6, 2, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2
-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [-3982445/4194304, -15929779/16777216], [0,
0]]]], [[2, 15, 6, 2, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y
= -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288
], [-3982445/4194304, -15929779/16777216], [318345/262144, 1273381/1048576]]]]
, [[2, 15, 6, 2, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y = -2
*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-\
3982445/4194304, -15929779/16777216], [3, 3]]]], [[2, 19, 7, 2, 1], [v = -2^(1
/2), 2 < u, And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-17/2
, -17/2], [-4, -4]]]], [[2, 19, 7, 2, 2], [v = -2^(1/2), 2 < u, And(0 < x,x <
1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1/2, 1/2], [-17/2, -17/2], [-2965821/1048576, -\
11863283/4194304]]]], [[2, 19, 7, 2, 3], [v = -2^(1/2), 2 < u, And(0 < x,x < 1
), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-17/2, -17/2], [-3/
8388608, -3/8388608]]]], [[2, 19, 7, 2, 4], [v = -2^(1/2), 2 < u, And(0 < x,x
< 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1/2, 1/2], [-17/2, -17/2], [741455/262144, 2965821/
1048576]]]], [[2, 19, 7, 2, 5], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), y = -u
^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [3, 3], [1/2, 1/2], [-17/2, -17/2], [4, 4]]]], [[3, 1, 9, 5, 1], [And(-2^(1
/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-x < y,y <
0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [-7909297/4194304, -7909297/4194304], [0, 0
]]]], [[3, 7, 10, 9, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), x = 1, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [1, 1], [0, 0]]]], [[3
, 9, 6, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-1288231/1048576, -\
1288231/1048576], [-3, -3]]]], [[3, 9, 6, 3, 2], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z
= -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0],
[0, 0], [-1288231/1048576, -1288231/1048576], [-1162243/1048576, -581121/
524288]]]], [[3, 9, 6, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
0, 0], [-1288231/1048576, -1288231/1048576], [0, 0]]]], [[3, 9, 6, 3, 4], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u
^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [-1288231/1048576, -1288231/1048576], [
581121/524288, 1162243/1048576]]]], [[3, 9, 6, 3, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0),
(-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0]
, [0, 0], [-1288231/1048576, -1288231/1048576], [3, 3]]]], [[3, 17, 7, 4, 1],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, z < 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [
-1/2, -1/2], [-1, -1]]]], [[3, 17, 7, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2
)^(1/2) < u, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[3,
17, 7, 4, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[4, 1, 9, 7, 1], [v = -1, u < -3^(1/2),
And(1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1
], [-3, -3], [4, 4], [3/2, 3/2], [0, 0]]]], [[4, 7, 11, 4, 1], [v = -1, And(-1
< u,u < 0), 1 < x, y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [2, 2], [-9/4, -9/4], [-2, -2]]]], [[4, 7, 11, 4, 2], [v = -1, And(-1 < u,u
< 0), 1 < x, y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [2,
2], [-9/4, -9/4], [-1/2, -1/2]]]], [[4, 7, 11, 4, 3], [v = -1, And(-1 < u,u <
0), 1 < x, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -\
1/2], [2, 2], [-9/4, -9/4], [0, 0]]]], [[4, 7, 11, 4, 4], [v = -1, And(-1 < u,
u < 0), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [
2, 2], [-9/4, -9/4], [1/2, 1/2]]]], [[4, 7, 11, 4, 5], [v = -1, And(-1 < u,u <
0), 1 < x, y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2
], [-9/4, -9/4], [2, 2]]]], [[4, 9, 6, 7, 1], [v = -1, And(0 < u,u < 1), x = -
u^2, u^2 < y, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [2,
2], [0, 0]]]], [[4, 13, 11, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 <
x, y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152
, 3299097/2097152], [2, 2], [-6, -6], [-3, -3]]]], [[4, 13, 11, 1, 2], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [-6, -6]
, [-2, -2]]]], [[4, 13, 11, 1, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 <
x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [2, 2], [-6, -6], [0, 0]]]], [[4, 13,
11, 1, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y < -u^2-x, z = (-x-y
)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2
], [-6, -6], [2, 2]]]], [[4, 13, 11, 1, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/
2)), 1 < x, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3299097
/2097152, 3299097/2097152], [2, 2], [-6, -6], [3, 3]]]], [[4, 15, 4, 6, 1], [v
= -1, 3^(1/2) < u, x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [3, 3], [
-1, -1], [1, 1], [-1, -1]]]], [[4, 15, 4, 6, 2], [v = -1, 3^(1/2) < u, x = -1,
y = 1, z = 0], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [1, 1], [0, 0]]]],
[[4, 15, 4, 6, 3], [v = -1, 3^(1/2) < u, x = -1, y = 1, 0 < z], [regular_chain
, [[-1, -1], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[5, 5, 11, 5, 1], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [-9637445/4194304, -9637445/4194304], [-2, -2]]]], [[5, 5, 
11, 5, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v
^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-9637445/4194304, -9637445/
4194304], [-1144335/2097152, -572167/1048576]]]], [[5, 5, 11, 5, 3], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-9637445/4194304, -9637445/
4194304], [0, 0]]]], [[5, 5, 11, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-\
9637445/4194304, -9637445/4194304], [572167/1048576, 71521/131072]]]], [[5, 5,
11, 5, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v
^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-9637445/4194304, -9637445/
4194304], [2, 2]]]], [[5, 7, 8, 6, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [0, 0], [
-1, -1]]]], [[5, 7, 8, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y
= 0, z = 0], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [0, 0], [0, 0]]]],
[[5, 7, 8, 6, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y = 0, 0 < z],
[regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [0, 0], [1, 1]]]], [[5, 8, 1, 5
, 1], [And(-1 < v,v < 0), u = -v, x < -1, And(-1-x < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [3/2, 3/2], [-2, -2
]]]], [[5, 8, 1, 5, 2], [And(-1 < v,v < 0), u = -v, x < -1, And(-1-x < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [
3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[5, 8, 1, 5, 3], [And(-1 <
v,v < 0), u = -v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2], [3/2, 3/2], [
0, 0]]]], [[5, 8, 1, 5, 4], [And(-1 < v,v < 0), u = -v, x < -1, And(-1-x < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-2, -2],
[3/2, 3/2], [741455/1048576, 46341/65536]]]], [[5, 8, 1, 5, 5], [And(-1 < v,v
< 0), u = -v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [1/2, 1/2], [-2, -2], [3/2, 3/2], [2, 2]]]], [[5, 9, 9, 8, 1],
[And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = 0, z
= z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2,
1/2], [0, 0], [0, 0]]]], [[6, 2, 5, 5, 1], [v = 0, u = -2^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[6,
2, 5, 5, 2], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[6, 2, 5, 5, 3], [v = 0, u = -2^(1/2
), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2]
, [1/4, 1/4], [0, 0]]]], [[6, 2, 5, 5, 4], [v = 0, u = -2^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911
/1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 2, 5,
5, 5], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1
/2], [1/4, 1/4], [2, 2]]]], [[6, 3, 10, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1
), x = 1, And(-u^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [1, 1], [-2336807/1048576, -2336807/
1048576], [-3, -3]]]], [[6, 3, 10, 3, 2], [v = 0, And(-2^(1/2) < u,u < -1), x
= 1, And(-u^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-2336807/1048576, -2336807/
1048576], [-1162243/1048576, -581121/524288]]]], [[6, 3, 10, 3, 3], [v = 0, 
And(-2^(1/2) < u,u < -1), x = 1, And(-u^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z
,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [1, 1], [-2336807/1048576, -2336807/1048576], [0, 0]]]], [[6, 3, 10,
3, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, And(-u^2-2 < y,y < -1), z = (-
y-1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1
, 1], [-2336807/1048576, -2336807/1048576], [581121/524288, 1162243/1048576]]]
], [[6, 3, 10, 3, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, And(-u^2-2 < y,
y < -1), (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2336807/1048576, -2336807/1048576], [3, 3]]]], [[6
, 8, 4, 1, 1], [v = 0, u = 1, x = -1, y < -1, z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [-2, -2], [-3, -3]]]], [[6, 8, 4, 1,
2], [v = 0, u = 1, x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[0, 0],
[1, 1], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[6, 8, 4
, 1, 3], [v = 0, u = 1, x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[0, 0], [1, 1], [-1, -1], [-2, -2], [-1/4194304, -1/4194304
]]]], [[6, 8, 4, 1, 4], [v = 0, u = 1, x = -1, y < -1, z = (1-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [-2, -2], [908093/524288, 1816187/
1048576]]]], [[6, 8, 4, 1, 5], [v = 0, u = 1, x = -1, y < -1, (1-y)^(1/2) < z]
, [regular_chain, [[0, 0], [1, 1], [-1, -1], [-2, -2], [3, 3]]]], [[6, 9, 9, 9
, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), 0 < y, z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152,
1527887/2097152], [1, 1], [0, 0]]]], [[7, 4, 4, 5, 1], [And(0 < v,v < 1), u =
-(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [1/2, 1/2], [-2, -2]
]]], [[7, 4, 4, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(0 <
y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[7, 4, 4, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y
< 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[7, 4, 4,
5, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = (1
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[7, 4, 4, 5, 5], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [1/
2, 1/2], [2, 2]]]], [[7, 5, 10, 4, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-1672995/1048576, -\
3345989/2097152], [-2, -2]]]], [[7, 5, 10, 4, 2], [And(0 < v,v < 1), And(-(v^2
+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1672995/1048576, -3345989/2097152], [-1618333/2097152, -3236665/4194304]]]], [
[7, 5, 10, 4, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y
= u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1672995/1048576, -3345989/2097152], [-1/8388608, -1/8388608]]]], [[7, 5, 10, 4
, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [1, 1], [-1672995/1048576, -3345989/2097152], [404583/524288
, 809167/1048576]]]], [[7, 5, 10, 4, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-1672995/1048576, -\
3345989/2097152], [2, 2]]]], [[8, 1, 2, 1, 1], [v = 1, u < -3^(1/2), x = -u^2,
y < 0, z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [-1,
-1], [-5, -5]]]], [[8, 1, 2, 1, 2], [v = 1, u < -3^(1/2), x = -u^2, y < 0, z =
-(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [-1, -1], [-\
3315889/1048576, -207243/65536]]]], [[8, 1, 2, 1, 3], [v = 1, u < -3^(1/2), x
= -u^2, y < 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1
, 1], [-3, -3], [-9, -9], [-1, -1], [0, 0]]]], [[8, 1, 2, 1, 4], [v = 1, u < -
3^(1/2), x = -u^2, y < 0, z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3
], [-9, -9], [-1, -1], [207243/65536, 3315889/1048576]]]], [[8, 1, 2, 1, 5], [
v = 1, u < -3^(1/2), x = -u^2, y < 0, (u^2-y)^(1/2) < z], [regular_chain, [[1,
1], [-3, -3], [-9, -9], [-1, -1], [5, 5]]]], [[8, 2, 4, 2, 1], [v = 1, u = -3^
(1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 2, 4, 2, 2],
[v = 1, u = -3^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[1, 1],
[-1816187/1048576, -3632373/2097152], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 2, 4, 2, 3], [v = 1, u = -3^(1/2), x = -1, y = -2, 
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[8, 2, 4,
2, 4], [v = 1, u = -3^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[1
, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-2, -2], [908093/524288
, 1816187/1048576]]]], [[8, 2, 4, 2, 5], [v = 1, u = -3^(1/2), x = -1, y = -2,
3^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [
-1, -1], [-2, -2], [3, 3]]]], [[8, 8, 7, 4, 1], [v = 1, u = 0, And(0 < x,x < 1
), y = -x, z < 0], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-1/2, -1/2],
[-1, -1]]]], [[8, 8, 7, 4, 2], [v = 1, u = 0, And(0 < x,x < 1), y = -x, z = 0]
, [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[8, 8
, 7, 4, 3], [v = 1, u = 0, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [
[1, 1], [0, 0], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8, 9, 11, 9, 1], [v = 1
, And(0 < u,u < 1), 1 < x, 0 < y, z = z], [regular_chain, [[1, 1], [1/2, 1/2],
[2, 2], [1, 1], [0, 0]]]], [[8, 14, 5, 7, 1], [v = 1, u = 3^(1/2), And(-1 < x,
x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-1/2, -1/2], [1, 1], [0, 0]]]], [[8, 15, 9, 8, 1], [v = 1,
3^(1/2) < u, And(1 < x,x < u^2-2), y = u^2-x-2, z = z], [regular_chain, [[1, 1
], [3, 3], [4, 4], [3, 3], [0, 0]]]], [[9, 6, 7, 5, 1], [And(1 < v,v < 2^(1/2)
), u = -v, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-1, -1], [0
, 0]]]], [[9, 8, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2
< x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2,
-3/2], [-1/4, -1/4], [-3, -3]]]], [[9, 8, 3, 3, 2], [And(1 < v,v < 2^(1/2)), u
= -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]]
, [[9, 8, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[9, 8, 3, 3, 4], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/
8192]]]], [[9, 8, 3, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-\
2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2,
-3/2], [-1/4, -1/4], [3, 3]]]], [[9, 8, 9, 2, 1], [And(1 < v,v < 2^(1/2)), u =
-(v^2-1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-4, -4
], [-3, -3]]]], [[9, 8, 9, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [2, 2], [-4, -4], [-1482911/
1048576, -741455/524288]]]], [[9, 8, 9, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2
], [-4, -4], [0, 0]]]], [[9, 8, 9, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-4, -4], [
741455/524288, 1482911/1048576]]]], [[9, 8, 9, 2, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2-1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-4, -4
], [3, 3]]]], [[9, 10, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
= -2, 2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-2, -2], [3, 3], [0, 0]]]], [[9, 16, 5, 9, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), 1-x < y, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 17, 10, 1, 1], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u
^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3
], [6860721/1048576, 3430361/524288], [-17, -17], [-5, -5]]]], [[9, 17, 10, 1,
2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^
2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [6860721/1048576, 3430361/524288], [-17, -17], [-847707/
262144, -3390827/1048576]]]], [[9, 17, 10, 1, 3], [And(1 < v,v < 2^(1/2)), (v^
2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z
,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [6860721/1048576, 3430361/524288], [-17, -17], [0, 0]]]], [[
9, 17, 10, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y
< -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-17, -17], [
3390827/1048576, 847707/262144]]]], [[9, 17, 10, 1, 5], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [6860721/
1048576, 3430361/524288], [-17, -17], [5, 5]]]], [[10, 4, 9, 3, 1], [v = 2^(1/
2), u = -3^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [2, 2], [-3, -3], [-2, -2]]]], [[10, 4, 9, 3, 2], [v = 2^(1/2), u =
-3^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2],
[-3, -3], [-1, -1]]]], [[10, 4, 9, 3, 3], [v = 2^(1/2), u = -3^(1/2), 1 < x, 
And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2,
2], [-3, -3], [0, 0]]]], [[10, 4, 9, 3, 4], [v = 2^(1/2), u = -3^(1/2), 1 < x,
And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [-3, -3], [1,
1]]]], [[10, 4, 9, 3, 5], [v = 2^(1/2), u = -3^(1/2), 1 < x, And(-x-2 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [2, 2], [-3, -3], [2, 2]]]], [[10, 6, 3, 1
, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[10, 6, 3, 1, 2], [v = 2^(1/2),
u = -v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1
/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[10, 6, 3, 1, 3], [v =
2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[10, 6, 3, 1, 4], [v =
2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[10, 6,
3, 1, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[10, 12, 5, 2, 1], [v = 2^
(1/2), u = 1, And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]
]], [[10, 12, 5, 2, 2], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y = -x-2, z =
-2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -\
1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[10, 12, 5, 2, 3],
[v = 2^(1/2), u = 1, And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [
-3/2, -3/2], [0, 0]]]], [[10, 12, 5, 2, 4], [v = 2^(1/2), u = 1, And(-1 < x,x
< 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[
10, 12, 5, 2, 5], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y = -x-2, 2^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [
-3/2, -3/2], [3, 3]]]], [[10, 13, 10, 4, 1], [v = 2^(1/2), And(1 < u,u < v), x
= 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -\
763943/524288], [-2, -2]]]], [[10, 13, 10, 4, 2], [v = 2^(1/2), And(1 < u,u <
v), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/
1048576, -763943/524288], [-1417877/2097152, -354469/524288]]]], [[10, 13, 10,
4, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z
,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288],
[0, 0]]]], [[10, 13, 10, 4, 4], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = -u^
2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288],
[354469/524288, 708939/1048576]]]], [[10, 13, 10, 4, 5], [v = 2^(1/2), And(1 <
u,u < v), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/
1048576, -763943/524288], [2, 2]]]], [[11, 2, 7, 7, 1], [2^(1/2) < v, u = -(v^
2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[
11, 3, 11, 8, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1
< x, y = 0, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [2, 2], [0, 0], [0, 0]]]], [[11, 10, 4, 7, 1], [2^(1/2) < v, u = -(v
^2-2)^(1/2), x = -1, And(1 < y,y < 2), z = z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [3/2, 3/2], [0, 0]]]], [[11, 11,
8, 8, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y =
-u^2+v^2-2, z = z], [regular_chain, [[3, 3], [0, 0], [1, 1], [7, 7], [0, 0]]]]
, [[11, 15, 10, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y <
u^2-v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1, 1], [-4, -4], [-3, -3]]]], [[11, 15, 10, 1, 2], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-4, -4],
[-1816187/1048576, -3632373/2097152]]]], [[11, 15, 10, 1, 3], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[11, 15, 10, 1, 4], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-4, -4],
[908093/524288, 1816187/1048576]]]], [[11, 15, 10, 1, 5], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-4, -4],
[3, 3]]]], [[11, 17, 6, 5, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [66399/262144, 66399/262144], [-2, -2]]]], [[11, 17, 6, 5, 2
], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u
^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [-531193/1048576, -1062385/2097152], [66399/262144, 66399/
262144], [-1055459/2097152, -527729/1048576]]]], [[11, 17, 6, 5, 3], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), 
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [
66399/262144, 66399/262144], [0, 0]]]], [[11, 17, 6, 5, 4], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+
v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
531193/1048576, -1062385/2097152], [66399/262144, 66399/262144], [527729/
1048576, 263865/524288]]]], [[11, 17, 6, 5, 5], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) <
z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576,
-1062385/2097152], [66399/262144, 66399/262144], [2, 2]]]], [[1, 1, 3, 1, 1],
[v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-\
1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-9, -9]
, [-6, -6]]]], [[1, 1, 3, 1, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v
^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-5, -5], [-9, -9], [-9, -9], [-1112183/262144, -4448731/1048576]]]], [[1
, 1, 3, 1, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-3, -3], [-5, -5], [-9, -9], [-9, -9], [0, 0]]]], [[1, 1, 3, 1, 4], [v < -2^(1
/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x
-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-9, -9], [4448731/
1048576, 1112183/262144]]]], [[1, 1, 3, 1, 5], [v < -2^(1/2), u < -(v^2+2)^(1/
2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [-9, -9], [6, 6]]]], [[1, 2, 5,
4, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^
(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2,
-1/2], [0, 0], [-2, -2]]]], [[1, 2, 5, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2
), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[1, 2, 5, 4, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]],
[[1, 2, 5, 4, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0,
z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576
], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[1, 2, 5, 4, 5], [
v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [
0, 0], [2, 2]]]], [[1, 8, 8, 4, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1,
y = -1, z < 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1, 1], [-1, -1], [-1, -1]]]], [[1, 8, 8, 4, 2], [v < -2^(1/2), u =
-(v^2-1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [1, 1], [-1, -1], [0, 0]]]], [[1, 8, 8, 4, 3], [v
< -2^(1/2), u = -(v^2-1)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -\
3], [-2965821/1048576, -11863283/4194304], [1, 1], [-1, -1], [1, 1]]]], [[1, 
10, 2, 2, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y = 0, z < -3^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [0,
0], [-3, -3]]]], [[1, 10, 2, 2, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3,
y = 0, z = -3^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[1, 10,
2, 2, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z
< 3^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 10, 2, 2, 4], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[1, 10, 2, 2, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x =
-3, y = 0, 3^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-3, -3], [0, 0], [3, 3]]]], [[1, 14, 1, 2, 1], [v < -2^(1/2
), u = (v^2-1)^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -\
3], [741455/262144, 2965821/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[1, 14,
1, 2, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [0, 0],
[-1816187/1048576, -3632373/2097152]]]], [[1, 14, 1, 2, 3], [v < -2^(1/2), u =
(v^2-1)^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [0, 0],
[-1/4194304, -1/4194304]]]], [[1, 14, 1, 2, 4], [v < -2^(1/2), u = (v^2-1)^(1/
2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144,
2965821/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[1,
14, 1, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z]
, [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [0, 0
], [3, 3]]]], [[1, 15, 7, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [258285/2097152, 258285/2097152], [-2, -2]]]], [[1, 15, 7,
7, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0)
, And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [258285/2097152
, 258285/2097152], [-183995/524288, -367989/1048576]]]], [[1, 15, 7, 7, 3], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
258285/2097152, 258285/2097152], [0, 0]]]], [[1, 15, 7, 7, 4], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152]
, [-516571/2097152, -516571/2097152], [258285/2097152, 258285/2097152], [
367989/1048576, 183995/524288]]]], [[1, 15, 7, 7, 5], [v < -2^(1/2), And((v^2-\
1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [258285/2097152, 258285/2097152], [2, 2]]]],
[[1, 21, 8, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, u^2-v^2-2 < y, z =
z], [regular_chain, [[-3, -3], [5, 5], [1, 1], [15, 15], [0, 0]]]], [[2, 1, 11
, 5, 1], [v = -2^(1/2), u < -2, u^2-3 < x, And(-x < y,y < u^2-x-3), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-4, -4]
, [0, 0]]]], [[2, 10, 1, 5, 1], [v = -2^(1/2), u = 0, x < -3, And(-x-3 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[2, 10, 1, 5, 2], [v = -2^(1/2), u
= 0, x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-4, -4], [5/2, 5/2], [-1284239/
1048576, -642119/524288]]]], [[2, 10, 1, 5, 3], [v = -2^(1/2), u = 0, x < -3,
And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [5/2, 5/2], [0, 0]]]]
, [[2, 10, 1, 5, 4], [v = -2^(1/2), u = 0, x < -3, And(-x-3 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4
, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[2, 10, 1, 5, 5], [v
= -2^(1/2), u = 0, x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [5/2, 5/
2], [3, 3]]]], [[2, 11, 6, 1, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y <
u^2-3, z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1/2, 1/2], [0, 0], [-4, -4], [-3, -3]]]], [[2, 11, 6, 1, 2], [v = -2^(1/2), 
And(0 < u,u < 1), x = 0, y < u^2-3, z = -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [-4, -4], [-2, -2]]]], [
[2, 11, 6, 1, 3], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y < u^2-3, And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [0, 0], [-4, -4], [0, 0]]]], [[2, 11, 6, 1, 4], [v = -2^(
1/2), And(0 < u,u < 1), x = 0, y < u^2-3, z = (-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [-4, -4], [2, 2]]]], [[2
, 11, 6, 1, 5], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y < u^2-3, (-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0],
[-4, -4], [3, 3]]]], [[2, 17, 9, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(u^2-3 < x,x < 1), And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [388511/
524288, 388511/524288], [-1048577/2097152, -1048577/2097152], [0, 0]]]], [[2,
19, 3, 1, 1], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y < -u^2-x+1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
-9/2, -9/2], [-5, -5], [-5, -5]]]], [[2, 19, 3, 1, 2], [v = -2^(1/2), 2 < u, 
And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-5, -5], [-3231929/
1048576, -403991/131072]]]], [[2, 19, 3, 1, 3], [v = -2^(1/2), 2 < u, And(-u^2
+1 < x,x < -1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9/2, -9/2], [-5,
-5], [0, 0]]]], [[2, 19, 3, 1, 4], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1
), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9/2, -9/2], [-5, -5], [403991/131072, 3231929/
1048576]]]], [[2, 19, 3, 1, 5], [v = -2^(1/2), 2 < u, And(-u^2+1 < x,x < -1),
y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9/2, -9/2], [-5, -5], [5, 5]]]], [[3, 3, 10, 8, 1], [And(-2
^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [0, 0], [0, 0]]]], [[3, 5, 6, 2, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^
2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/
1048576], [-7843787/8388608, -3921893/4194304], [-3, -3]]]], [[3, 5, 6, 2, 2],
[And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -\
2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-7843787/8388608, -3921893/4194304], [-1270261/1048576, -\
317565/262144]]]], [[3, 5, 6, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(
1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-\
7843787/8388608, -3921893/4194304], [0, 0]]]], [[3, 5, 6, 2, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-\
7843787/8388608, -3921893/4194304], [317565/262144, 1270261/1048576]]]], [[3,
5, 6, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2
-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/
2097152, -558339/1048576], [-7843787/8388608, -3921893/4194304], [3, 3]]]], [[
3, 11, 9, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And
(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]
]]], [[3, 11, 9, 6, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-1/2, -1/2],
[0, 0]]]], [[3, 11, 9, 6, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-1/2, -1/2
], [1, 1]]]], [[3, 13, 6, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-1116681/2097152, -139585/262144], [139585/524288, 139585/
524288], [-2, -2]]]], [[3, 13, 6, 5, 2], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [139585/524288,
139585/524288], [-1082093/2097152, -270523/524288]]]], [[3, 13, 6, 5, 3], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y
,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [139585/524288, 139585/
524288], [0, 0]]]], [[3, 13, 6, 5, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [139585/524288,
139585/524288], [270523/524288, 541047/1048576]]]], [[3, 13, 6, 5, 5], [And(-2
^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y
< -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -\
139585/262144], [139585/524288, 139585/524288], [2, 2]]]], [[3, 13, 10, 7, 1],
[And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-1 < y,y
< 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[3, 15, 6, 1, 1],
[And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y
< -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [-4, -4], [-3, -3]]]], [[3,
15, 6, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-4, -4],
[-2, -2]]]], [[3, 15, 6, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2
))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [0, 0], [-4, -4], [0, 0]]]], [[3, 15, 6, 1, 4], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1,
z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [0, 0], [-4, -4], [2, 2]]]], [[3, 15, 6, 1, 5],
[And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y
< -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [-4, -4], [3, 3]]]], [[4, 3,
11, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -u^2-x, z < u],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
4692111/1048576, -2346055/524288], [-3, -3]]]], [[4, 3, 11, 2, 2], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -u^2-x, z = u], [regular_chain, [[-\
1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [-4692111/1048576, -\
2346055/524288], [-1649549/1048576, -3299097/2097152]]]], [[4, 3, 11, 2, 3], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -u^2-x, And(u < z,z < -u)],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
4692111/1048576, -2346055/524288], [-1/4194304, -1/4194304]]]], [[4, 3, 11, 2,
4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
4692111/1048576, -2346055/524288], [412387/262144, 1649549/1048576]]]], [[4, 3
, 11, 2, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -u^2-x, -u <
z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [
-4692111/1048576, -2346055/524288], [3, 3]]]], [[4, 5, 6, 5, 1], [v = -1, And(
-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)]
, [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/2097152, 569265/2097152], [-2, -2]]]], [[4,
5, 6, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < -u^2+
2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1138531/2097152, -569265/1048576], [569265/2097152, 569265
/2097152], [-1092629/2097152, -273157/524288]]]], [[4, 5, 6, 5, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < -u^2+2), And(-(-u^2-y+2)^(1
/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1138531/2097152, -569265/1048576], [569265/2097152, 
569265/2097152], [0, 0]]]], [[4, 5, 6, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1
), x = u^2-2, And(0 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [regular_chain, [[
-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/
1048576], [569265/2097152, 569265/2097152], [273157/524288, 546315/1048576]]]]
, [[4, 5, 6, 5, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y
< -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [-1138531/2097152, -569265/1048576], [569265/2097152, 
569265/2097152], [2, 2]]]], [[4, 9, 10, 8, 1], [v = -1, And(0 < u,u < 1), x =
1, y = 0, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [1, 1], [0, 0], [0, 0
]]]], [[4, 11, 7, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0)
, -x < y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-569265/2097152, -569265/2097152], [2, 2], [0, 0]]]], [[5, 2, 3, 8, 1], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 1-x, z = z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [3, 3], [0, 0]]]], [[5,
3, 8, 4, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [243021/524288, 486043/1048576], [-486043/1048576, -\
243021/524288], [-1, -1]]]], [[5, 3, 8, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/524288
, 486043/1048576], [-486043/1048576, -243021/524288], [0, 0]]]], [[5, 3, 8, 4,
3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^
2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [243021/524288, 486043/1048576], [-486043/1048576, -243021/
524288], [1, 1]]]], [[5, 12, 1, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2]
, [-4, -4], [9/2, 9/2], [0, 0]]]], [[5, 13, 6, 3, 1], [And(-1 < v,v < 0), (v^2
+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-39/8, -39/8], [-4, -4]]]], [[5
, 13, 6, 3, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 <
y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-\
39/8, -39/8], [-1157597/524288, -2315193/1048576]]]], [[5, 13, 6, 3, 3], [And(
-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^
(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [-\
39/8, -39/8], [0, 0]]]], [[5, 13, 6, 3, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2)
< u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1/2
, -1/2], [3, 3], [0, 0], [-39/8, -39/8], [2315193/1048576, 1157597/524288]]]],
[[5, 13, 6, 3, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-\
1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0],
[-39/8, -39/8], [4, 4]]]], [[6, 6, 2, 4, 1], [v = 0, u = 0, x = -1, y = 1, z <
0], [regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [-1, -1]]]], [[6, 6, 2,
4, 2], [v = 0, u = 0, x = -1, y = 1, z = 0], [regular_chain, [[0, 0], [0, 0],
[-1, -1], [1, 1], [0, 0]]]], [[6, 6, 2, 4, 3], [v = 0, u = 0, x = -1, y = 1, 0
< z], [regular_chain, [[0, 0], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[6, 7, 10
, 5, 1], [v = 0, And(0 < u,u < 1), x = 1, And(u^2-2 < y,y < -1), z < -(-y-1)^(
1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-11/8, -11/8], [-2, -2]]]
], [[6, 7, 10, 5, 2], [v = 0, And(0 < u,u < 1), x = 1, And(u^2-2 < y,y < -1),
z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-11/8, -11/8
], [-1284239/2097152, -642119/1048576]]]], [[6, 7, 10, 5, 3], [v = 0, And(0 <
u,u < 1), x = 1, And(u^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-11/8, -11/8], [0, 0]]]], [[
6, 7, 10, 5, 4], [v = 0, And(0 < u,u < 1), x = 1, And(u^2-2 < y,y < -1), z = (
-y-1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-11/8, -11/8], [
642119/1048576, 80265/131072]]]], [[6, 7, 10, 5, 5], [v = 0, And(0 < u,u < 1),
x = 1, And(u^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [1/2
, 1/2], [1, 1], [-11/8, -11/8], [2, 2]]]], [[6, 11, 11, 1, 1], [v = 0, 2^(1/2)
< u, u^2-1 < x, y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3,
3], [9, 9], [-20, -20], [-5, -5]]]], [[6, 11, 11, 1, 2], [v = 0, 2^(1/2) < u,
u^2-1 < x, y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3],
[9, 9], [-20, -20], [-1738867/524288, -3477733/1048576]]]], [[6, 11, 11, 1, 3]
, [v = 0, 2^(1/2) < u, u^2-1 < x, y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [9, 9], [-20, -20], [0, 0]]]], [[
6, 11, 11, 1, 4], [v = 0, 2^(1/2) < u, u^2-1 < x, y < -u^2-x-1, z = (-x-y)^(1/
2)], [regular_chain, [[0, 0], [3, 3], [9, 9], [-20, -20], [3477733/1048576, 
1738867/524288]]]], [[6, 11, 11, 1, 5], [v = 0, 2^(1/2) < u, u^2-1 < x, y < -u
^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [9, 9], [-20, -20]
, [5, 5]]]], [[7, 2, 2, 4, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3,
y = 3, z < 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [3, 3], [-\
1, -1]]]], [[7, 2, 2, 4, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y
= 3, z = 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [3, 3], [0,
0]]]], [[7, 2, 2, 4, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y = 3,
0 < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [3, 3], [1, 1]]]]
, [[7, 8, 5, 2, 1], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y = -1-x, z <
-1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [-2, -\
2]]]], [[7, 8, 5, 2, 2], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y = -1-x,
z = -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [-\
1, -1]]]], [[7, 8, 5, 2, 3], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y = -\
1-x, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2],
[-3/2, -3/2], [0, 0]]]], [[7, 8, 5, 2, 4], [And(0 < v,v < 1), u = v, And(0 < x
,x < 1), y = -1-x, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2]
, [-3/2, -3/2], [1, 1]]]], [[7, 8, 5, 2, 5], [And(0 < v,v < 1), u = v, And(0 <
x,x < 1), y = -1-x, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2
], [-3/2, -3/2], [2, 2]]]], [[7, 10, 1, 2, 1], [And(0 < v,v < 1), u = (v^2+1)^
(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [-3, -3], [0, 0], [-3, -3]]]], [[7, 10, 1, 2, 2], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [0, 0]
, [-1816187/1048576, -3632373/2097152]]]], [[7, 10, 1, 2, 3], [And(0 < v,v < 1
), u = (v^2+1)^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [-3, -3], [0, 0]
, [-1/4194304, -1/4194304]]]], [[7, 10, 1, 2, 4], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [-3, -3], [0, 0], [908093/524288, 1816187/
1048576]]]], [[7, 10, 1, 2, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x < -2,
y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [-3, -3], [0, 0], [3, 3]]]], [[7, 10, 6, 5, 1], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [0, 0], [1, 1], [0, 0]]]], [[7, 11, 11, 5, 1], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-x < y,y < u^
2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144
], [2, 2], [-1854131/1048576, -1854131/1048576], [0, 0]]]], [[8, 4, 7, 2, 1],
[v = 1, u = -2^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-5/2,
-5/2], [-3, -3]]]], [[8, 4, 7, 2, 2], [v = 1, u = -2^(1/2), And(0 < x,x < 1),
y = -x-2, z = -2^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[8,
4, 7, 2, 3], [v = 1, u = -2^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) <
z,z < 2^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[8, 4, 7, 2, 4], [v = 1, u = -2^(1/2), 
And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/
1048576]]]], [[8, 4, 7, 2, 5], [v = 1, u = -2^(1/2), And(0 < x,x < 1), y = -x-\
2, 2^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[8, 5, 11, 7, 1], [v = 1, And(-2^(1/2) <
u,u < -1), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[8, 10, 7, 1
, 1], [v = 1, u = 1, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[1,
1], [1, 1], [2, 2], [-4, -4], [-3, -3]]]], [[8, 10, 7, 1, 2], [v = 1, u = 1, 1
< x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [2, 2], [-\
4, -4], [-1482911/1048576, -741455/524288]]]], [[8, 10, 7, 1, 3], [v = 1, u =
1, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1, 1], [1, 1], [2, 2], [-4, -4], [0, 0]]]], [[8, 10, 7, 1, 4], [v = 1, u = 1
, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [2, 2],
[-4, -4], [741455/524288, 1482911/1048576]]]], [[8, 10, 7, 1, 5], [v = 1, u =
1, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1, 1], [2, 2]
, [-4, -4], [3, 3]]]], [[8, 12, 2, 4, 1], [v = 1, u = 2^(1/2), x = -2, y = 2,
z < 0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [
2, 2], [-1, -1]]]], [[8, 12, 2, 4, 2], [v = 1, u = 2^(1/2), x = -2, y = 2, z =
0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [2, 2
], [0, 0]]]], [[8, 12, 2, 4, 3], [v = 1, u = 2^(1/2), x = -2, y = 2, 0 < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [2, 2], [1
, 1]]]], [[9, 2, 9, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x,
And(-x < y,y < 1-x), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-3/2, -3/2], [0, 0]]]
], [[9, 4, 3, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [-2, -2],
[-3, -3]]]], [[9, 4, 3, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [
-2, -2], [-7846825/4194304, -980853/524288]]]], [[9, 4, 3, 1, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-410915/262144, -3287319/2097152], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[9, 4,
3, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y <
-x-2, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-410915/262144, -3287319/2097152], [-3/2, -3/2], [-2, -2], [980853/524288, 
1961707/1048576]]]], [[9, 4, 3, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2,
-3/2], [-2, -2], [3, 3]]]], [[9, 12, 7, 4, 1], [And(1 < v,v < 2^(1/2)), u = v,
1 < x, y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[9, 12, 7,
4, 2], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = -x, z = 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2
], [-2, -2], [0, 0]]]], [[9, 12, 7, 4, 3], [And(1 < v,v < 2^(1/2)), u = v, 1 <
x, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[9, 14, 3, 2,
1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2,
z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[9, 14, 3,
2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-\
2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576
, -741455/524288]]]], [[9, 14, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^
(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[9, 14, 3, 2, 4], [And(1 < v,
v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[9,
14, 3, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1),
y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[10,
2, 9, 8, 1], [v = 2^(1/2), u = -2, 1 < x, y = 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [2, 2], [0, 0], [0, 0]]]], [[10, 4,
3, 4, 1], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[10, 4, 3, 4, 2], [v = 2
^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[10, 4
, 3, 4, 3], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [0, 0], [0, 0]]]], [[10, 4
, 3, 4, 4], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [
[10, 4, 3, 4, 5], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = 0, (-x)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3/2, -3/2], [0, 0], [3, 3]]]], [[10, 8, 9, 5, 1]
, [v = 2^(1/2), u = -1, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-1, -1], [0, 0]]]], [[10,
10, 2, 6, 1], [v = 2^(1/2), u = 0, x = -3, y = 4, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-3, -3], [4, 4], [0, 0]]]], [[10, 16
, 5, 4, 1], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 16, 5, 4, 2], [v =
2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[10,
16, 5, 4, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 16, 5
, 4, 4], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[10, 16, 5,
4, 5], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 17, 10, 6, 1], [v = 2^(1/2),
And(3^(1/2) < u,u < 2), x = 1, y = u^2-4, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [-543109
/1048576, -1086217/2097152], [0, 0]]]], [[10, 18, 4, 1, 1], [v = 2^(1/2), u =
2, x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [2, 2], [-1, -1], [-3, -3], [-3, -3]]]], [[10, 18, 4, 1, 2], [v = 2
^(1/2), u = 2, x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-1, -1], [-3, -3], [-2, -2]]]], [[10, 18, 4
, 1, 3], [v = 2^(1/2), u = 2, x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [
-3, -3], [0, 0]]]], [[10, 18, 4, 1, 4], [v = 2^(1/2), u = 2, x = -1, y < -2, z
= (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1
, -1], [-3, -3], [2, 2]]]], [[10, 18, 4, 1, 5], [v = 2^(1/2), u = 2, x = -1, y
< -2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [2,
2], [-1, -1], [-3, -3], [3, 3]]]], [[10, 19, 8, 2, 1], [v = 2^(1/2), 2 < u, x
= 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1, 1], [-9, -9], [-4, -4]]]], [[10, 19, 8, 2, 2], [v = 2^(1
/2), 2 < u, x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [1, 1], [-9, -9], [-2965821/1048576, -\
11863283/4194304]]]], [[10, 19, 8, 2, 3], [v = 2^(1/2), 2 < u, x = 1, y = -u^2
, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [1, 1], [-9, -9], [-3/8388608, -3/8388608]]]], [[10,
19, 8, 2, 4], [v = 2^(1/2), 2 < u, x = 1, y = -u^2, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-9, -9], [
741455/262144, 2965821/1048576]]]], [[10, 19, 8, 2, 5], [v = 2^(1/2), 2 < u, x
= 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1, 1], [-9, -9], [4, 4]]]], [[11, 6, 5, 6, 1], [2^(1/2) < v
, u = -v, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [-3, -3],
[1/2, 1/2], [0, 0], [0, 0]]]], [[11, 8, 1, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(
1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3, -3], [0, 0], [-3, -3]]]], [[11, 8, 1, 2, 2],
[2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [0, 0
], [-1816187/1048576, -3632373/2097152]]]], [[11, 8, 1, 2, 3], [2^(1/2) < v, u
= -(v^2-1)^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [0, 0
], [-1/4194304, -1/4194304]]]], [[11, 8, 1, 2, 4], [2^(1/2) < v, u = -(v^2-1)^
(1/2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-3, -3], [0, 0], [908093/524288, 1816187/1048576
]]]], [[11, 8, 1, 2, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y = 0, (-x)
^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
-3, -3], [0, 0], [3, 3]]]], [[11, 12, 2, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2
), x = -3, y = 0, z < -3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-3, -3], [0, 0], [-3, -3]]]], [[11, 12, 2, 2, 2], [2^(1/2) < v,
u = (v^2-2)^(1/2), x = -3, y = 0, z = -3^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[11, 12, 2, 2, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, y =
0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 12, 2, 2, 4]
, [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain
, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[11, 12, 2, 2, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x =
-3, y = 0, 3^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096
], [-3, -3], [0, 0], [3, 3]]]], [[11, 13, 6, 3, 1], [2^(1/2) < v, And((v^2-2)^
(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)
], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-657547
/524288, -657547/524288], [-3, -3]]]], [[11, 13, 6, 3, 2], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y
)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [
-657547/524288, -657547/524288], [-1174299/1048576, -587149/524288]]]], [[11,
13, 6, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, 
And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-657547/524288, -657547/
524288], [0, 0]]]], [[11, 13, 6, 3, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-657547/
524288, -657547/524288], [587149/524288, 1174299/1048576]]]], [[11, 13, 6, 3,
5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2
-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [0, 0], [-657547/524288, -657547/524288], [3, 3]]]], [[11, 19
, 10, 4, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y
= -1, z < 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1,
1], [-1, -1], [-1, -1]]]], [[11, 19, 10, 4, 2], [2^(1/2) < v, And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [1, 1], [-1, -1], [0, 0]]]], [[11, 19, 10,
4, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -1,
0 < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [
-1, -1], [1, 1]]]], [[11, 21, 3, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-
u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [5, 5], [-9, -9], [9/2, 9/2], [-4, -4]]]], [[11, 21, 3, 5, 2], [2^(1/
2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [9/2, 9/2], [-\
1112183/524288, -2224365/1048576]]]], [[11, 21, 3, 5, 3], [2^(1/2) < v, (v^2+2
)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-9, -9], [9/2, 9/2],
[0, 0]]]], [[11, 21, 3, 5, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1
< x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [5
, 5], [-9, -9], [9/2, 9/2], [2224365/1048576, 1112183/524288]]]], [[11, 21, 3,
5, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-9, -9], [9/2, 9
/2], [4, 4]]]], [[1, 1, 3, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+
v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-3, -3], [-5, -5], [-9, -\
9], [9, 9], [-1, -1]]]], [[1, 1, 3, 6, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2),
And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [-5, -5
], [-9, -9], [9, 9], [0, 0]]]], [[1, 1, 3, 6, 3], [v < -2^(1/2), u < -(v^2+2)^
(1/2), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3],
[-5, -5], [-9, -9], [9, 9], [1, 1]]]], [[1, 2, 5, 5, 1], [v < -2^(1/2), u = -(
v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [
1/4, 1/4], [-2, -2]]]], [[1, 2, 5, 5, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -\
1/2]]]], [[1, 2, 5, 5, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0
), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [1/4, 1/4], [0
, 0]]]], [[1, 2, 5, 5, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0
), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1, 2, 5,
5, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 8, 9, 4, 1], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [2, 2], [-2, -2], [-1, -1]]]], [[1, 8, 9,
4, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, y = -x, z = 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [-2,
-2], [0, 0]]]], [[1, 8, 9, 4, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, y
= -x, 0 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [2, 2], [-2, -2], [1, 1]]]], [[1, 10, 2, 5, 1], [v < -2^(1/2), u = -(v^2-2)^
(1/2), x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-3, -3], [7/2, 7/2], [0, 0]]]], [[1, 14, 1, 7, 1]
, [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[
-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [4, 4], [0, 0]]]], [[1, 
15, 7, 8, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x
,x < 0), y = -x, z < 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [258285/1048576, 129143/524288],
[-1, -1]]]], [[1, 15, 7, 8, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [258285/
1048576, 129143/524288], [0, 0]]]], [[1, 15, 7, 8, 3], [v < -2^(1/2), And((v^2
-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [258285/1048576, 129143/524288], [1, 1]]]], [[1, 21, 9, 7,
1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(0 < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [5, 5], [8, 8], [7/2, 7/2], [
0, 0]]]], [[2, 1, 11, 8, 1], [v = -2^(1/2), u < -2, u^2-3 < x, y = 0, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [0, 0],
[0, 0]]]], [[2, 10, 1, 2, 1], [v = -2^(1/2), u = 0, x < -3, y = 0, z < -(-x)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4],
[0, 0], [-3, -3]]]], [[2, 10, 1, 2, 2], [v = -2^(1/2), u = 0, x < -3, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [
-4, -4], [0, 0], [-2, -2]]]], [[2, 10, 1, 2, 3], [v = -2^(1/2), u = 0, x < -3,
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-4, -4], [0, 0], [0, 0]]]], [[2, 10, 1, 2,
4], [v = -2^(1/2), u = 0, x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-4, -4], [0, 0], [2, 2]]]], [[2, 10
, 1, 2, 5], [v = -2^(1/2), u = 0, x < -3, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [0, 0],
[3, 3]]]], [[2, 11, 5, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x <
0), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [-9/8, -9/8], [-3, -3]]]],
[[2, 11, 5, 3, 2], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(u^2
-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1/2, -1/2], [-9/8, -9/8], [-668339/524288, -\
1336677/1048576]]]], [[2, 11, 5, 3, 3], [v = -2^(1/2), And(0 < u,u < 1), And(-\
1 < x,x < 0), And(u^2-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2
], [-9/8, -9/8], [0, 0]]]], [[2, 11, 5, 3, 4], [v = -2^(1/2), And(0 < u,u < 1)
, And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [-9/8, -9/8],
[1336677/1048576, 668339/524288]]]], [[2, 11, 5, 3, 5], [v = -2^(1/2), And(0 <
u,u < 1), And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2],
[-9/8, -9/8], [3, 3]]]], [[2, 17, 9, 4, 1], [v = -2^(1/2), And(3^(1/2) < u,u <
2), And(u^2-3 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/
524288], [-388511/524288, -388511/524288], [-1, -1]]]], [[2, 17, 9, 4, 2], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-388511/524288, -388511/524288], [0
, 0]]]], [[2, 17, 9, 4, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-388511/
524288, -388511/524288], [1, 1]]]], [[2, 19, 2, 3, 1], [v = -2^(1/2), 2 < u, x
= -u^2+1, And(0 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-8, -8], [4, 4], [-3, -3]]]], [[2,
19, 2, 3, 2], [v = -2^(1/2), 2 < u, x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^
2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-\
8, -8], [4, 4], [-2, -2]]]], [[2, 19, 2, 3, 3], [v = -2^(1/2), 2 < u, x = -u^2
+1, And(0 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [4, 4],
[0, 0]]]], [[2, 19, 2, 3, 4], [v = -2^(1/2), 2 < u, x = -u^2+1, And(0 < y,y <
u^2-1), z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-8, -8], [4, 4], [2, 2]]]], [[2, 19, 2, 3, 5], [v = -2^(1/2)
, 2 < u, x = -u^2+1, And(0 < y,y < u^2-1), (u^2-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [4, 4],
[3, 3]]]], [[3, 3, 10, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 1, And(-1 < y,y < u^2-v^2-2), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [-3190373/4194304, -3190373/4194304], [0, 0]]]], [[
3, 5, 5, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(
-1 < x,x < u^2-v^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [0, 0], [-2, -2]]]], [[3, 5, 5, 4, 2], [And(-2^(1/
2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y =
0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [0,
0], [-3671483/4194304, -7342965/8388608]]]], [[3, 5, 5, 4, 3], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [0, 0], [-5/16777216, -5/16777216]]]], [[3, 5, 5, 4, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^
2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [0, 0], [458935/524288, 917871/1048576]]]], [[3, 5, 5, 4, 5], [And(-
2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1),
y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [0
, 0], [2, 2]]]], [[3, 11, 9, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/
2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [1/2, 1/2], [-5995789/8388608, -5995789/8388608], [-2, -2]]]]
, [[3, 11, 9, 5, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-5995789/8388608, -5995789/8388608], [-485927/1048576,
-242963/524288]]]], [[3, 11, 9, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-5995789/8388608, -\
5995789/8388608], [0, 0]]]], [[3, 11, 9, 5, 4], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [-5995789/8388608, -5995789/
8388608], [242963/524288, 485927/1048576]]]], [[3, 11, 9, 5, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-5995789/8388608, -\
5995789/8388608], [2, 2]]]], [[3, 13, 5, 9, 1], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [2, 2], [0, 0]]]], [[3
, 13, 11, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 <
x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
1188161/524288, -1188161/524288], [-2, -2]]]], [[3, 13, 11, 5, 2], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [2, 2], [-1188161/524288, -1188161/
524288], [-1082093/2097152, -270523/524288]]]], [[3, 13, 11, 5, 3], [And(-2^(1
/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
1188161/524288, -1188161/524288], [0, 0]]]], [[3, 13, 11, 5, 4], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [-1188161/524288, -1188161/524288],
[270523/524288, 541047/1048576]]]], [[3, 13, 11, 5, 5], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-1188161/524288, -1188161/524288], [2, 2]]
]], [[3, 15, 6, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [0, 0], [0, 0], [-1, -1]]]],
[[3, 15, 6, 4, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [0, 0], [0, 0]]]], [[3, 15,
6, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [0, 0], [0, 0], [1, 1]]]], [[4, 3, 11, 7, 1], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(u^2-x-2 < y,y < 0), z = z],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
3198691/4194304, -3198691/4194304], [0, 0]]]], [[4, 5, 6, 6, 1], [v = -1, And(
-2^(1/2) < u,u < -1), x = u^2-2, y = -u^2+2, z < 0], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/1048576, 284633/524288], [-1, -1]]]], [[4, 5, 6, 6, 2], [v = -1, And(-2
^(1/2) < u,u < -1), x = u^2-2, y = -u^2+2, z = 0], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/1048576, 284633/524288], [0, 0]]]], [[4, 5, 6, 6, 3], [v = -1, And(-2^(
1/2) < u,u < -1), x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/1048576, 284633/524288], [1, 1]]]], [[4, 9, 11, 6, 1], [v = -1, And(0 <
u,u < 1), 1 < x, y = -x, z < 0], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2]
, [-2, -2], [-1, -1]]]], [[4, 9, 11, 6, 2], [v = -1, And(0 < u,u < 1), 1 < x,
y = -x, z = 0], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-2, -2], [0, 0
]]]], [[4, 9, 11, 6, 3], [v = -1, And(0 < u,u < 1), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-2, -2], [1, 1]]]], [[4, 11, 8,
3, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), z < -(
-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0,
0], [-4194303/4194304, -4194303/4194304], [-2, -2]]]], [[4, 11, 8, 3, 2], [v =
-1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), z = -(-y)^(1/2)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-\
4194303/4194304, -4194303/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[4, 11, 8, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 0,
And(-u^2 < y,y < u^2-2), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-4194303/4194304, -\
4194303/4194304], [-3670015/8796093022208, -3670015/8796093022208]]]], [[4, 11
, 8, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), z
= (-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[0, 0], [-4194303/4194304, -4194303/4194304], [1048575/1048576, 1]]]], [[4, 11
, 8, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), (
-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[0, 0], [-4194303/4194304, -4194303/4194304], [2, 2]]]], [[5, 2, 4, 4, 1], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [0, 0], [-2, -2]]]], [[5, 2, 4, 4, 2],
[And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [regular_chain
, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [0, 0], [-1, -1]]]], [[5, 2, 4, 4, 3]
, [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [0, 0], [0, 0]]]], [[5,
2, 4, 4, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [0, 0], [1, 1]]]], [[5,
2, 4, 4, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [0, 0], [2, 2]]]], [[5,
3, 8, 5, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [-243021/
1048576, -243021/1048576], [0, 0]]]], [[5, 12, 1, 6, 1], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), x < -3, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [-4, -4], [4, 4], [-1, -1]]]], [[5, 12, 1, 6, 2], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [-4, -4], [4, 4], [0, 0]]]], [[5, 12, 1, 6, 3], [And(-1 < v,v < 0), u =
(v^2+2)^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/
2], [-4, -4], [4, 4], [1, 1]]]], [[5, 13, 5, 7, 1], [And(-1 < v,v < 0), (v^2+2
)^(1/2) < u, And(-1 < x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [35/8, 35/8], [0, 0]]]], [
[6, 6, 2, 1, 1], [v = 0, u = 0, x = -1, y < 0, z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-1, -1], [-1, -1], [-3, -3]]]], [[6, 6, 2, 1,
2], [v = 0, u = 0, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[0, 0],
[0, 0], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[6, 6, 2,
1, 3], [v = 0, u = 0, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [0, 0], [-1, -1], [-1, -1], [0, 0]]]], [[6, 6, 2, 1, 4
], [v = 0, u = 0, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[0, 0], [0
, 0], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[6, 6, 2, 1, 5
], [v = 0, u = 0, x = -1, y < 0, (1-y)^(1/2) < z], [regular_chain, [[0, 0], [0
, 0], [-1, -1], [-1, -1], [3, 3]]]], [[6, 7, 9, 7, 1], [v = 0, And(0 < u,u < 1
), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [1/2,
1/2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[6, 11, 10, 7, 1], [v = 0, 2^(1/2)
< u, x = u^2-1, 0 < y, z = z], [regular_chain, [[0, 0], [3, 3], [8, 8], [1, 1]
, [0, 0]]]], [[7, 2, 1, 8, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3,
y = 1-x, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [5, 5],
[0, 0]]]], [[7, 8, 4, 4, 1], [And(0 < v,v < 1), u = v, x = 0, y = 0, z < 0], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[7, 8, 4
, 4, 2], [And(0 < v,v < 1), u = v, x = 0, y = 0, z = 0], [regular_chain, [[1/2
, 1/2], [1/2, 1/2], [0, 0], [0, 0], [0, 0]]]], [[7, 8, 4, 4, 3], [And(0 < v,v
< 1), u = v, x = 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0
, 0], [0, 0], [1, 1]]]], [[7, 9, 11, 4, 1], [And(0 < v,v < 1), And(v < u,u < (
v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-\
2721571/1048576, -5443141/2097152], [-2, -2]]]], [[7, 9, 11, 4, 2], [And(0 < v
,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2
, 2], [-2721571/1048576, -5443141/2097152], [-1618333/2097152, -3236665/
4194304]]]], [[7, 9, 11, 4, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)
), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-\
2721571/1048576, -5443141/2097152], [-1/8388608, -1/8388608]]]], [[7, 9, 11, 4
, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [2, 2], [-2721571/1048576, -5443141/2097152], [404583/524288
, 809167/1048576]]]], [[7, 9, 11, 4, 5], [And(0 < v,v < 1), And(v < u,u < (v^2
+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-2721571/1048576, -\
5443141/2097152], [2, 2]]]], [[7, 10, 7, 1, 1], [And(0 < v,v < 1), u = (v^2+1)
^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[7
, 10, 7, 1, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x
-2, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[7, 10,
7, 1, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1/2, 1/2], [-4, -4], [0, 0]]]], [[7, 10, 7,
1, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (
-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [
1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[7, 10, 7, 1, 5], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1/2, 1/2
], [-4, -4], [3, 3]]]], [[7, 12, 1, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2
), x < -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2],
[-4, -4], [-1, -1], [-4, -4]]]], [[7, 12, 1, 1, 2], [And(0 < v,v < 1), u = (v^
2+2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3
/2, 3/2], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[7, 12, 1
, 1, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [
-1, -1], [0, 0]]]], [[7, 12, 1, 1, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x
< -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4,
-4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[7, 12, 1, 1, 5], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [3/2, 3/2], [-4, -4], [-1, -1], [4, 4]]]], [[8, 4, 7, 5, 1], [v =
1, u = -2^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]
]], [[8, 6, 1, 5, 1], [v = 1, u = -1, x < -1, And(-1-x < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [3/2, 3/2], [-2, -2]]]]
, [[8, 6, 1, 5, 2], [v = 1, u = -1, x < -1, And(-1-x < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [3/2, 3/2], [-1482911/
2097152, -741455/1048576]]]], [[8, 6, 1, 5, 3], [v = 1, u = -1, x < -1, And(-1
-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1,
1], [-1, -1], [-2, -2], [3/2, 3/2], [0, 0]]]], [[8, 6, 1, 5, 4], [v = 1, u = -\
1, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [
-1, -1], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[8, 6, 1, 5,
5], [v = 1, u = -1, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [3/2, 3/2], [2, 2]]]], [[8, 10, 7,
2, 1], [v = 1, u = 1, 1 < x, y = -1-x, z < -1], [regular_chain, [[1, 1], [1, 1
], [2, 2], [-3, -3], [-2, -2]]]], [[8, 10, 7, 2, 2], [v = 1, u = 1, 1 < x, y =
-1-x, z = -1], [regular_chain, [[1, 1], [1, 1], [2, 2], [-3, -3], [-1, -1]]]],
[[8, 10, 7, 2, 3], [v = 1, u = 1, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1, 1], [2, 2], [-3, -3], [0, 0]]]], [[8, 10, 7, 2, 4]
, [v = 1, u = 1, 1 < x, y = -1-x, z = 1], [regular_chain, [[1, 1], [1, 1], [2,
2], [-3, -3], [1, 1]]]], [[8, 10, 7, 2, 5], [v = 1, u = 1, 1 < x, y = -1-x, 1
< z], [regular_chain, [[1, 1], [1, 1], [2, 2], [-3, -3], [2, 2]]]], [[8, 12, 3
, 4, 1], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [0, 0]
, [-3, -3]]]], [[8, 12, 3, 4, 2], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), y =
0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[8, 12, 3, 4,
3], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2,
-3/2], [0, 0], [0, 0]]]], [[8, 12, 3, 4, 4], [v = 1, u = 2^(1/2), And(-2 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [
[8, 12, 3, 4, 5], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [
0, 0], [3, 3]]]], [[9, 2, 9, 8, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2
), 1 < x, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3899297/2097152, -7798593/4194304], [2, 2], [0, 0], [0, 0]]]], [[9, 4, 4, 1,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y < -1, z < -(1-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[9, 4, 4, 1, 2], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[9, 4,
4, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -1, y < -1, And(-(1
-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-2, -2], [-1/4194304,
-1/4194304]]]], [[9, 4, 4, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2),
x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-2, -2], [908093/
524288, 1816187/1048576]]]], [[9, 4, 4, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-2,
-2], [3, 3]]]], [[9, 12, 6, 4, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, y =
-1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[9, 12, 6, 4, 2], [
And(1 < v,v < 2^(1/2)), u = v, x = 1, y = -1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1],
[-1, -1], [0, 0]]]], [[9, 12, 6, 4, 3], [And(1 < v,v < 2^(1/2)), u = v, x = 1,
y = -1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-1, -1], [1, 1]]]], [[9, 14, 2, 4, 1], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y = 2, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [2, 2], [-1, -1]]]], [[9, 14, 2, 4, 2], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [2, 2],
[0, 0]]]], [[9, 14, 2, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x =
-2, y = 2, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-2, -2], [2, 2], [1, 1]]]], [[10, 2, 9, 3, 1
], [v = 2^(1/2), u = -2, 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [-7/2, -7/
2], [-3, -3]]]], [[10, 2, 9, 3, 2], [v = 2^(1/2), u = -2, 1 < x, And(-x-3 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-2, -2], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[10,
2, 9, 3, 3], [v = 2^(1/2), u = -2, 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [2, 2], [-7/2, -7/2], [0, 0]]]], [[10, 2, 9, 3, 4], [v = 2^(1/2), u
= -2, 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [2, 2], [-7/2, -7/2], [642119/524288, 
1284239/1048576]]]], [[10, 2, 9, 3, 5], [v = 2^(1/2), u = -2, 1 < x, And(-x-3
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [-7/2, -7/2], [3, 3]]]], [[10, 4, 3, 3, 1], [v = 2
^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[10, 4, 3, 3, 2],
[v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135
/1048576]]]], [[10, 4, 3, 3, 3], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1
), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[10, 4, 3, 3, 4], [v = 2^(1/
2), u = -3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[10,
4, 3, 3, 5], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[
10, 8, 8, 5, 1], [v = 2^(1/2), u = -1, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-1/2, -1/
2], [0, 0]]]], [[10, 10, 2, 3, 1], [v = 2^(1/2), u = 0, x = -3, And(0 < y,y <
3), z < -(3-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[10, 10, 2, 3, 2], [v = 2^(1/2), u = 0
, x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [0, 0], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/
524288]]]], [[10, 10, 2, 3, 3], [v = 2^(1/2), u = 0, x = -3, And(0 < y,y < 3),
And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-3, -3], [3/2, 3/2], [0, 0]]]], [[10, 10, 2, 3, 4],
[v = 2^(1/2), u = 0, x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [3/2, 3/2]
, [642119/524288, 1284239/1048576]]]], [[10, 10, 2, 3, 5], [v = 2^(1/2), u = 0
, x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [0, 0], [-3, -3], [3/2, 3/2], [3, 3]]]], [[10, 16, 4, 6, 1],
[v = 2^(1/2), u = 3^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [1, 1],
[-1, -1]]]], [[10, 16, 4, 6, 2], [v = 2^(1/2), u = 3^(1/2), x = -1, y = 1, z =
0], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187
/1048576], [-1, -1], [1, 1], [0, 0]]]], [[10, 16, 4, 6, 3], [v = 2^(1/2), u =
3^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [1, 1]]]], [[10,
17, 10, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(-1 < y,y < u^2
-4), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [1, 1], [-1591685/2097152, -1591685/2097152], [0, 0
]]]], [[10, 18, 4, 4, 1], [v = 2^(1/2), u = 2, x = -1, y = 0, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0], [-\
2, -2]]]], [[10, 18, 4, 4, 2], [v = 2^(1/2), u = 2, x = -1, y = 0, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0], [-\
1, -1]]]], [[10, 18, 4, 4, 3], [v = 2^(1/2), u = 2, x = -1, y = 0, And(-1 < z,
z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1],
[0, 0], [0, 0]]]], [[10, 18, 4, 4, 4], [v = 2^(1/2), u = 2, x = -1, y = 0, z =
1], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0
], [1, 1]]]], [[10, 18, 4, 4, 5], [v = 2^(1/2), u = 2, x = -1, y = 0, 1 < z],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0], [
2, 2]]]], [[10, 19, 8, 9, 1], [v = 2^(1/2), 2 < u, x = 1, u^2-4 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [6, 6], [0,
0]]]], [[11, 6, 5, 7, 1], [2^(1/2) < v, u = -v, And(0 < x,x < 1), 0 < y, z = z
], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [1, 1], [0, 0]]]], [[11, 8,
1, 7, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, -x < y, z = z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [4, 4
], [0, 0]]]], [[11, 12, 2, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, And
(3 < y,y < 4), z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096],
[-3, -3], [7/2, 7/2], [0, 0]]]], [[11, 13, 7, 3, 1], [2^(1/2) < v, And((v^2-2)
^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023
/524288], [133259/524288, 133259/524288], [-395403/262144, -395403/262144], [-\
3, -3]]]], [[11, 13, 7, 3, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/
524288, 133259/524288], [-395403/262144, -395403/262144], [-1174299/1048576, -\
587149/524288]]]], [[11, 13, 7, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [133259/524288, 133259/524288], [-395403/262144, -395403/
262144], [0, 0]]]], [[11, 13, 7, 3, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
133259/524288, 133259/524288], [-395403/262144, -395403/262144], [587149/
524288, 1174299/1048576]]]], [[11, 13, 7, 3, 5], [2^(1/2) < v, And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [-395403/262144, -395403/262144], [3,
3]]]], [[11, 19, 10, 5, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = 1, And(-1 < y,y < u^2-v^2-2), z = z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [1, 1], [-394777/524288, -394777/524288], [
0, 0]]]], [[11, 21, 4, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y < -u^
2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-17, -17
], [-6, -6]]]], [[11, 21, 4, 1, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y
< -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-17
, -17], [-1112183/262144, -4448731/1048576]]]], [[11, 21, 4, 1, 3], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-17, -17], [0, 0]]]], [[11,
21, 4, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z = (1-y)
^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-17, -17], [4448731/
1048576, 1112183/262144]]]], [[11, 21, 4, 1, 5], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-\
1, -1], [-17, -17], [6, 6]]]], [[1, 4, 7, 7, 1], [v < -2^(1/2), u = -(v^2+1)^(
1/2), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1/2, 1/2], [1, 1], [0, 0]]]], [[1, 6, 1, 3, 1], [v <
-2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[1, 6,
1, 3, 2], [v < -2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1/2, 1/2], [-1284239/
1048576, -642119/524288]]]], [[1, 6, 1, 3, 3], [v < -2^(1/2), u = v, x < -1, 
And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-3, -3], [-3, -3], [-2, -2], [1/2, 1/2], [0, 0]]]], [[1, 6, 1, 3, 4], [v < -
2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-3, -3], [-2, -2], [1/2, 1/2], [642119/524288, 1284239/1048576]]
]], [[1, 6, 1, 3, 5], [v < -2^(1/2), u = v, x < -1, And(0 < y,y < -1-x), (-x-y
)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1/2, 1/2], [3, 3
]]]], [[1, 12, 3, 4, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-2, -2], [0, 0], [-3, -3]]]], [[1, 12, 3, 4, 2], [v < -2^(1/2), u = (v
^2-2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3
, -3], [2774271/1048576, 10837/4096], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[1, 12, 3, 4, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3
< x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3
, -3], [2774271/1048576, 10837/4096], [-2, -2], [0, 0], [0, 0]]]], [[1, 12, 3,
4, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(
1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [0,
0], [741455/524288, 1482911/1048576]]]], [[1, 12, 3, 4, 5], [v < -2^(1/2), u =
(v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
3, -3], [2774271/1048576, 10837/4096], [-2, -2], [0, 0], [3, 3]]]], [[1, 13, 7
, 5, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x
< -u^2+v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [133259/524288, 133259/524288], [-133259/1048576, -\
133259/1048576], [0, 0]]]], [[1, 18, 1, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2
), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536
, 3315889/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[1, 18, 1, 1, 2], [v < -
2^(1/2), u = (v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [
[1, 18, 1, 1, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[1, 18, 1, 1, 4], [v < -2^(1
/2), u = (v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3
, -3], [207243/65536, 3315889/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[1, 18
, 1, 1, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [-1, -\
1], [3, 3]]]], [[1, 19, 7, 2, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/
524288, 129511/524288], [-5748437/2097152, -1437109/524288], [-3, -3]]]], [[1,
19, 7, 2, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288],
[-5748437/2097152, -1437109/524288], [-1655969/1048576, -3311937/2097152]]]],
[[1, 19, 7, 2, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^
2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576
], [129511/524288, 129511/524288], [-5748437/2097152, -1437109/524288], [-1/
4194304, -1/4194304]]]], [[1, 19, 7, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/524288, 129511/524288], [-5748437/2097152, -1437109/524288], [51749/
32768, 1655969/1048576]]]], [[1, 19, 7, 2, 5], [v < -2^(1/2), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[129511/524288, 129511/524288], [-5748437/2097152, -1437109/524288], [3, 3]]]]
, [[2, 4, 1, 5, 1], [v = -2^(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [2, 2], [-2, -2]]]], [[2, 4, 1,
5, 2], [v = -2^(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576
, -3632373/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[2, 4, 1, 5, 3], [v = -2^
(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-3, -3], [2, 2], [0, 0]]]], [[2, 4, 1, 5, 4], [v
= -2^(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [2, 2], [1, 1]]]], [[2, 4, 1, 5, 5], [v = -2^(1/2)
, u = -3^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [2, 2], [2, 2]]]], [[2, 5, 7, 6, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [0, 0], [-2, -2]]]], [
[2, 5, 7, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [0
, 0], [-268683/524288, -1074731/2097152]]]], [[2, 5, 7, 6, 3], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [0, 0], [-1/
4194304, -1/4194304]]]], [[2, 5, 7, 6, 4], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), And(u^2-3 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [0, 0], [537365/1048576, 268683/524288]]]], [[2, 5
, 7, 6, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y =
0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [0,
0], [2, 2]]]], [[2, 6, 2, 1, 1], [v = -2^(1/2), u = v, x = -1, y < 0, z < -(1-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [-3, -3]]]], [[2, 6, 2, 1, 2], [
v = -2^(1/2), u = v, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1]
, [-1, -1], [-1482911/1048576, -741455/524288]]]], [[2, 6, 2, 1, 3], [v = -2^(
1/2), u = v, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1, -1], [-1, -1], [0, 0]]]], [[2, 6, 2, 1, 4], [v = -2^(1/2), u =
v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [
741455/524288, 1482911/1048576]]]], [[2, 6, 2, 1, 5], [v = -2^(1/2), u = v, x
= -1, y < 0, (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [3, 3]]]], [[
2, 7, 9, 7, 1], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), And(-x < y
,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2,
13, 10, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y < u^2-4, z < -(-y-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[2, 13, 10, 1, 2], [v = -2
^(1/2), And(1 < u,u < -v), x = 1, y < u^2-4, z = -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 13,
10, 1, 3], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y < u^2-4, And(-(-y-1)^(1/
2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1265743/1048576, 1265743/1048576], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[2, 13, 10, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y <
u^2-4, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/
1048576]]]], [[2, 13, 10, 1, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y <
u^2-4, (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [1, 1], [-4, -4], [3, 3]]]], [[2, 15, 6, 5
, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3)
, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [
275385/1048576, 275385/1048576], [-2, -2]]]], [[2, 15, 6, 5, 2], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), z = -(-u^2-y+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1101541/2097152, -275385/524288], [275385/1048576, 275385/
1048576], [-1074733/2097152, -268683/524288]]]], [[2, 15, 6, 5, 3], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), And(-(-u^2-y+3
)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385
/524288], [275385/1048576, 275385/1048576], [0, 0]]]], [[2, 15, 6, 5, 4], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), z = (-u^2
-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [275385/1048576
, 275385/1048576], [268683/524288, 537367/1048576]]]], [[2, 15, 6, 5, 5], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), (-u^2-y+3
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [275385/1048576
, 275385/1048576], [2, 2]]]], [[2, 19, 7, 7, 1], [v = -2^(1/2), 2 < u, And(0 <
x,x < 1), And(0 < y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [1/2, 1/2], [11/4, 11/4], [0, 0]]]], [[3, 1, 9, 6, 1]
, [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y =
0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [0, 0], [0, 0]]]], [[3, 7, 11, 7, 1], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-x < y,y < 0),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-1, -1], [0, 0]]]], [[3, 9, 6, 6, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y
= -u^2+v^2-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
0, 0], [0, 0], [239655/524288, 479311/1048576], [0, 0]]]], [[3, 17, 7, 3, 1],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x
-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152],
[-4, -4]]]], [[3, 17, 7, 3, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-\
10006449/2097152, -10006449/2097152], [-2167143/1048576, -1083571/524288]]]],
[[3, 17, 7, 3, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x <
1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-\
10006449/2097152, -10006449/2097152], [0, 0]]]], [[3, 17, 7, 3, 4], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152], [1083571/524288, 
2167143/1048576]]]], [[3, 17, 7, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-\
10006449/2097152, -10006449/2097152], [4, 4]]]], [[4, 1, 9, 2, 1], [v = -1, u
< -3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, z < u], [regular_chain, [[-1, -1
], [-3, -3], [4, 4], [-13, -13], [-4, -4]]]], [[4, 1, 9, 2, 2], [v = -1, u < -
3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, z = u], [regular_chain, [[-1, -1],
[-3, -3], [4, 4], [-13, -13], [-3, -3]]]], [[4, 1, 9, 2, 3], [v = -1, u < -3^(
1/2), And(1 < x,x < u^2-2), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[
-1, -1], [-3, -3], [4, 4], [-13, -13], [0, 0]]]], [[4, 1, 9, 2, 4], [v = -1, u
< -3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, z = -u], [regular_chain, [[-1, -\
1], [-3, -3], [4, 4], [-13, -13], [3, 3]]]], [[4, 1, 9, 2, 5], [v = -1, u < -3
^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, -u < z], [regular_chain, [[-1, -1],
[-3, -3], [4, 4], [-13, -13], [4, 4]]]], [[4, 7, 11, 1, 1], [v = -1, And(-1 <
u,u < 0), 1 < x, y < u^2-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
-1/2, -1/2], [2, 2], [-5, -5], [-3, -3]]]], [[4, 7, 11, 1, 2], [v = -1, And(-1
< u,u < 0), 1 < x, y < u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1/2, -1/2], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[4,
7, 11, 1, 3], [v = -1, And(-1 < u,u < 0), 1 < x, y < u^2-x-2, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-5
, -5], [-1/4194304, -1/4194304]]]], [[4, 7, 11, 1, 4], [v = -1, And(-1 < u,u <
0), 1 < x, y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -\
1/2], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[4, 7, 11, 1, 5]
, [v = -1, And(-1 < u,u < 0), 1 < x, y < u^2-x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-5, -5], [3, 3]]]], [[4, 9, 5
, 9, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -x < y, z = z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [2, 2], [0, 0]]]], [[4, 13
, 10, 9, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [1, 1], [1, 1],
[0, 0]]]], [[4, 15, 4, 1, 1], [v = -1, 3^(1/2) < u, x = -1, y < -u^2+1, z < -(
1-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [-9, -9], [-5, -5]]]
], [[4, 15, 4, 1, 2], [v = -1, 3^(1/2) < u, x = -1, y < -u^2+1, z = -(1-y)^(1/
2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [-9, -9], [-3315889/1048576,
-207243/65536]]]], [[4, 15, 4, 1, 3], [v = -1, 3^(1/2) < u, x = -1, y < -u^2+1
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [
-1, -1], [-9, -9], [0, 0]]]], [[4, 15, 4, 1, 4], [v = -1, 3^(1/2) < u, x = -1,
y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [-9
, -9], [207243/65536, 3315889/1048576]]]], [[4, 15, 4, 1, 5], [v = -1, 3^(1/2)
< u, x = -1, y < -u^2+1, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3],
[-1, -1], [-9, -9], [5, 5]]]], [[5, 5, 11, 2, 1], [And(-1 < v,v < 0), And(-(v^
2+1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-\
1784943/524288, -3569885/1048576], [-3, -3]]]], [[5, 5, 11, 2, 2], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152
], [2, 2], [-1784943/524288, -3569885/1048576], [-19417/16384, -1242687/
1048576]]]], [[5, 5, 11, 2, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2]
, [-1784943/524288, -3569885/1048576], [0, 0]]]], [[5, 5, 11, 2, 4], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152
], [2, 2], [-1784943/524288, -3569885/1048576], [1242687/1048576, 19417/16384]
]]], [[5, 5, 11, 2, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 <
x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-1784943/524288, -3569885/1048576
], [3, 3]]]], [[5, 7, 7, 8, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^
2+v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0], [-3
/8, -3/8], [3/8, 3/8], [-1, -1]]]], [[5, 7, 7, 8, 2], [And(-1 < v,v < 0), And(
v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1
/2, -1/2], [0, 0], [-3/8, -3/8], [3/8, 3/8], [0, 0]]]], [[5, 7, 7, 8, 3], [And
(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [3/8, 3/8], [1, 1]]]], [[
5, 8, 2, 5, 1], [And(-1 < v,v < 0), u = -v, x = -1, 1 < y, z = z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [2, 2], [0, 0]]]], [[5, 9,
10, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+
v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [-3, -\
3]]]], [[5, 9, 10, 2, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576]
, [-19417/16384, -1242687/1048576]]]], [[5, 9, 10, 2, 3], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [0, 0]]]], [[5,
9, 10, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -u
^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [
1242687/1048576, 19417/16384]]]], [[5, 9, 10, 2, 5], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-\
1260655/524288, -2521309/1048576], [3, 3]]]], [[6, 2, 6, 1, 1], [v = 0, u = -2
^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [0, 0], [-4, -4], [-3, -3]]]], [[6, 2, 6, 1, 2], [v
= 0, u = -2^(1/2), x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[0, 0], [
-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-2, -2]]]], [[6, 2, 6, 1
, 3], [v = 0, u = -2^(1/2), x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))
], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [-4, -\
4], [0, 0]]]], [[6, 2, 6, 1, 4], [v = 0, u = -2^(1/2), x = 0, y < -3, z = (-y)
^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0],
[-4, -4], [2, 2]]]], [[6, 2, 6, 1, 5], [v = 0, u = -2^(1/2), x = 0, y < -3, (-
y)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0
, 0], [-4, -4], [3, 3]]]], [[6, 3, 10, 4, 1], [v = 0, And(-2^(1/2) < u,u < -1)
, x = 1, y = -1, z < 0], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [1, 1], [-1, -1], [-1, -1]]]], [[6, 3, 10, 4, 2], [v = 0, And(-2^(1/
2) < u,u < -1), x = 1, y = -1, z = 0], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [1, 1], [-1, -1], [0, 0]]]], [[6, 3, 10, 4, 3], [v
= 0, And(-2^(1/2) < u,u < -1), x = 1, y = -1, 0 < z], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [1, 1], [-1, -1], [1, 1]]]], [[6, 8, 5,
1, 1], [v = 0, u = 1, And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[6, 8, 5
, 1, 2], [v = 0, u = 1, And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -\
980853/524288]]]], [[6, 8, 5, 1, 3], [v = 0, u = 1, And(-1 < x,x < 0), y < -x-\
2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1],
[-1/2, -1/2], [-3, -3], [0, 0]]]], [[6, 8, 5, 1, 4], [v = 0, u = 1, And(-1 < x
,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1/2,
-1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[6, 8, 5, 1, 5], [v = 0
, u = 1, And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[0,
0], [1, 1], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[6, 9, 10, 3, 1], [v = 0, And(
1 < u,u < 2^(1/2)), x = 1, And(-u^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-2336807/
1048576, -2336807/1048576], [-3, -3]]]], [[6, 9, 10, 3, 2], [v = 0, And(1 < u,
u < 2^(1/2)), x = 1, And(-u^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-2336807/
1048576, -2336807/1048576], [-1162243/1048576, -581121/524288]]]], [[6, 9, 10,
3, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2-2 < y,y < -1), And(-(-y
-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [1, 1], [-2336807/1048576, -2336807/1048576], [0, 0]]]], [[6
, 9, 10, 3, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2-2 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576]
, [1, 1], [-2336807/1048576, -2336807/1048576], [581121/524288, 1162243/
1048576]]]], [[6, 9, 10, 3, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(-u^
2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [1, 1], [-2336807/1048576, -2336807/1048576], [3, 3]]]], [[7
, 4, 5, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-
x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[7, 4, 5,
3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/
1048576]]]], [[7, 4, 5, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 <
x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[-3/4, -3/4], [0, 0]]]], [[7, 4, 5, 3, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/
2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [-3/4, -3/4], [
1172343/1048576, 146543/131072]]]], [[7, 4, 5, 3, 5], [And(0 < v,v < 1), u = -
(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[-3/4, -3/4], [3, 3]]]], [[7, 5, 10, 5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1
/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
5443141/4194304, -5443141/4194304], [-2, -2]]]], [[7, 5, 10, 5, 2], [And(0 < v
,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), z =
-(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [-1144335/2097152, -\
572167/1048576]]]], [[7, 5, 10, 5, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1
, 1], [-5443141/4194304, -5443141/4194304], [0, 0]]]], [[7, 5, 10, 5, 4], [And
(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1
), z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [572167/1048576, 
71521/131072]]]], [[7, 5, 10, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u
,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-5443141/4194304,
-5443141/4194304], [2, 2]]]], [[8, 1, 1, 3, 1], [v = 1, u < -3^(1/2), x < -u^2
, And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3]
, [-10, -10], [1/2, 1/2], [-5, -5]]]], [[8, 1, 1, 3, 2], [v = 1, u < -3^(1/2),
x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[-3, -3], [-10, -10], [1/2, 1/2], [-3231929/1048576, -403991/131072]]]], [[8,
1, 1, 3, 3], [v = 1, u < -3^(1/2), x < -u^2, And(0 < y,y < -u^2-x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-10, -10],
[1/2, 1/2], [0, 0]]]], [[8, 1, 1, 3, 4], [v = 1, u < -3^(1/2), x < -u^2, And(0
< y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-10, -\
10], [1/2, 1/2], [403991/131072, 3231929/1048576]]]], [[8, 1, 1, 3, 5], [v = 1
, u < -3^(1/2), x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [1/2, 1/2], [5, 5]]]], [[8, 2, 3
, 8, 1], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y = 1-x, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [3, 3]
, [0, 0]]]], [[8, 8, 6, 4, 1], [v = 1, u = 0, x = 0, y = 0, z < 0], [
regular_chain, [[1, 1], [0, 0], [0, 0], [0, 0], [-1, -1]]]], [[8, 8, 6, 4, 2],
[v = 1, u = 0, x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [0, 0], [0, 0],
[0, 0], [0, 0]]]], [[8, 8, 6, 4, 3], [v = 1, u = 0, x = 0, y = 0, 0 < z], [
regular_chain, [[1, 1], [0, 0], [0, 0], [0, 0], [1, 1]]]], [[8, 9, 11, 8, 1],
[v = 1, And(0 < u,u < 1), 1 < x, y = 0, z = z], [regular_chain, [[1, 1], [1/2,
1/2], [2, 2], [0, 0], [0, 0]]]], [[8, 14, 4, 9, 1], [v = 1, u = 3^(1/2), x = -\
1, 2 < y, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [
-1, -1], [3, 3], [0, 0]]]], [[8, 15, 9, 5, 1], [v = 1, 3^(1/2) < u, And(1 < x,
x < u^2-2), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [3, 3], [4, 4]
, [-2, -2], [0, 0]]]], [[9, 6, 6, 7, 1], [And(1 < v,v < 2^(1/2)), u = -v, x =
1, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [1, 1], [0, 0]]]], [[9, 8, 3, 2, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2,
z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[9, 8, 3,
2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x
-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[9, 8, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[9, 8, 3, 2, 4], [And(1 < v,
v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]
], [[9, 8, 3, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/2, -1/2], [3,
3]]]], [[9, 8, 9, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, 
And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-3, -3], [-2, -\
2]]]], [[9, 8, 9, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, 
And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-3, -3], [-1, -\
1]]]], [[9, 8, 9, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, 
And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2,
2], [-3, -3], [0, 0]]]], [[9, 8, 9, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-\
1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2],
[-3, -3], [1, 1]]]], [[9, 8, 9, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(
1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2],
[-3, -3], [2, 2]]]], [[9, 10, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[9, 10, 3, 5, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373
/4194304]]]], [[9, 10, 3, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939
/1048576], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[9, 10, 3,
5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/4, 3/4], [908093/
1048576, 454047/524288]]]], [[9, 10, 3, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v
^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[9, 16, 6, 3, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[9, 16, 6, 3, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[9, 16
, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y <
0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-3/2, -3/2], [0, 0
]]]], [[9, 16, 6, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, 
And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [121853/65536, 1949649/1048576], [0, 0], [-3/2, -3/2], [642119/
524288, 1284239/1048576]]]], [[9, 16, 6, 3, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-\
3/2, -3/2], [3, 3]]]], [[9, 17, 11, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1
/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-18, -18], [-5, -5]]]],
[[9, 17, 11, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-1 < x,
y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [8, 8], [-18, -18], [-3315889/1048576, -207243/65536
]]]], [[9, 17, 11, 1, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u^2-v^2-\
1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [8, 8], [-18, -18]
, [0, 0]]]], [[9, 17, 11, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u
^2-v^2-1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [8, 8], [-18, -18], [207243/65536, 3315889/
1048576]]]], [[9, 17, 11, 1, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, u
^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [8, 8], [-18, -18], [5, 5]]]], [[10, 4, 9,
4, 1], [v = 2^(1/2), u = -3^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2],
[-2, -2], [-1, -1]]]], [[10, 4, 9, 4, 2], [v = 2^(1/2), u = -3^(1/2), 1 < x, y
= -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [2, 2], [-2, -2], [0, 0]]]], [[10, 4, 9, 4, 3], [v
= 2^(1/2), u = -3^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [-2, -\
2], [1, 1]]]], [[10, 6, 3, 6, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y =
-x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10, 6, 3, 6
, 2], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2,
-1/2], [1/2, 1/2], [0, 0]]]], [[10, 6, 3, 6, 3], [v = 2^(1/2), u = -v, And(-1
< x,x < 0), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10,
12, 5, 5, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/
2, -1/2], [1/4, 1/4], [-2, -2]]]], [[10, 12, 5, 5, 2], [v = 2^(1/2), u = 1, 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2
]]]], [[10, 12, 5, 5, 3], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 
12, 5, 5, 4], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2
, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 12, 5, 5, 5], [v = 2^(1/2), u = 1, 
And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]],
[[10, 13, 11, 2, 1], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = u^2-x-3, z < -
(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [-3,
-3]]]], [[10, 13, 11, 2, 2], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = u^2-x-\
3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-7429987/2097152, -3714993/1048576
], [-1302471/1048576, -651235/524288]]]], [[10, 13, 11, 2, 3], [v = 2^(1/2), 
And(1 < u,u < v), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [0, 0]]]], [[
10, 13, 11, 2, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y = u^2-x-3, z = (-u
^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [
651235/524288, 1302471/1048576]]]], [[10, 13, 11, 2, 5], [v = 2^(1/2), And(1 <
u,u < v), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-\
7429987/2097152, -3714993/1048576], [3, 3]]]], [[11, 2, 7, 2, 1], [2^(1/2) < v
, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-7/2
, -7/2], [-3, -3]]]], [[11, 2, 7, 2, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And
(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 2, 7, 2, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(
0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3
], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-7/2, -7/2], [-1/4194304,
-1/4194304]]]], [[11, 2, 7, 2, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x
,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]
], [[11, 2, 7, 2, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y =
-x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[11, 3, 11, 7, 1], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y <
0), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2,
2], [-3158215/4194304, -3158215/4194304], [0, 0]]]], [[11, 10, 3, 9, 1], [2^(1
/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), 1-x < y, z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [4, 4]
, [0, 0]]]], [[11, 11, 8, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [0, 0],
[1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 15, 9, 5, 1], [2^(1/2) < v, And((v^2-1)
^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/
2], [-50084729/67108864, -50084729/67108864], [-2, -2]]]], [[11, 15, 9, 5, 2],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/67108864], [-\
16263/32768, -520415/1048576]]]], [[11, 15, 9, 5, 3], [2^(1/2) < v, And((v^2-1
)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/67108864], [0, 0]
]]], [[11, 15, 9, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x
,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-50084729/67108864, -\
50084729/67108864], [520415/1048576, 16263/32768]]]], [[11, 15, 9, 5, 5], [2^(
1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/67108864], [2, 2]
]]], [[11, 17, 6, 4, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v
^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [-531193/1048576, -1062385/2097152], [0, 0], [-2, -2]]]], [[
11, 17, 6, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y
= 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-531193/1048576, -1062385/2097152], [0, 0], [-373161/524288, -\
1492643/2097152]]]], [[11, 17, 6, 4, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2
))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576
, -1062385/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 17, 6, 4, 4],
[2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193
/1048576, -1062385/2097152], [0, 0], [746321/1048576, 373161/524288]]]], [[11,
17, 6, 4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0
, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-531193/1048576, -1062385/2097152], [0, 0], [2, 2]]]], [[1, 1, 3, 7,
1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-x < y,
y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [33/2
, 33/2], [0, 0]]]], [[1, 2, 5, 6, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[1, 2, 5, 6, 2], [v
< -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2, -1/2], [
1/2, 1/2], [0, 0]]]], [[1, 2, 5, 6, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And
(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 8, 9, 3, 1], [v <
-2^(1/2), u = -(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [-3,
-3], [-2, -2]]]], [[1, 8, 9, 3, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x,
And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821
/1048576, -11863283/4194304], [2, 2], [-3, -3], [-1, -1]]]], [[1, 8, 9, 3, 3],
[v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [2, 2], [-3, -3], [0, 0]]]], [[1, 8, 9, 3, 4], [v < -2^(1/2
), u = -(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [-3,
-3], [1, 1]]]], [[1, 8, 9, 3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, 
And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [2, 2], [-3, -3], [2, 2]]]], [[1, 10, 2, 4, 1], [
v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[1,
10, 2, 4, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y = 3, z = 0], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [3,
3], [0, 0]]]], [[1, 10, 2, 4, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y
= 3, 0 < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[-3, -3], [3, 3], [1, 1]]]], [[1, 14, 2, 1, 1], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[1, 14, 2, 1, 2],
[v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [-1, -1]
, [-1816187/1048576, -3632373/2097152]]]], [[1, 14, 2, 1, 3], [v < -2^(1/2), u
= (v^2-1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [-1, -1]
, [-1/4194304, -1/4194304]]]], [[1, 14, 2, 1, 4], [v < -2^(1/2), u = (v^2-1)^(
1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]
]]], [[1, 14, 2, 1, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, y < 0, (2-y)
^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2,
-2], [-1, -1], [3, 3]]]], [[1, 15, 7, 9, 1], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), And(-u^2+v^2-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [
2, 2], [0, 0]]]], [[1, 21, 9, 6, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 <
x,x < u^2-v^2-1), y = 0, z = z], [regular_chain, [[-3, -3], [5, 5], [8, 8], [0
, 0], [0, 0]]]], [[2, 1, 11, 7, 1], [v = -2^(1/2), u < -2, u^2-3 < x, And(u^2-
x-3 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [7, 7], [-1/2, -1/2], [0, 0]]]], [[2, 10, 1, 3, 1], [v = -2^(1/2), u
= 0, x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-4, -4], [1/2, 1/2], [-3, -3]]]], [
[2, 10, 1, 3, 2], [v = -2^(1/2), u = 0, x < -3, And(0 < y,y < -x-3), z = -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -\
4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[2, 10, 1, 3, 3], [v =
-2^(1/2), u = 0, x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4
], [1/2, 1/2], [0, 0]]]], [[2, 10, 1, 3, 4], [v = -2^(1/2), u = 0, x < -3, And
(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]
]]], [[2, 10, 1, 3, 5], [v = -2^(1/2), u = 0, x < -3, And(0 < y,y < -x-3), (-x
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [
-4, -4], [1/2, 1/2], [3, 3]]]], [[2, 11, 5, 4, 1], [v = -2^(1/2), And(0 < u,u
< 1), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2,
11, 5, 4, 2], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = 0, z = -
(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 11, 5, 4, 3
], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 11, 5, 4, 4], [v = -2^(1/2), 
And(0 < u,u < 1), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[2, 11, 5, 4, 5], [v = -2^(1/2), And(0 < u,u < 1),
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2, 17, 9, 3, 1
], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [
-4156663/2097152, -4156663/2097152], [-3, -3]]]], [[2, 17, 9, 3, 2], [v = -2^(
1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-4156663/
2097152, -4156663/2097152], [-4563/4096, -1168127/1048576]]]], [[2, 17, 9, 3,
3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [388511/
524288, 388511/524288], [-4156663/2097152, -4156663/2097152], [0, 0]]]], [[2,
17, 9, 3, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And
(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/
524288], [-4156663/2097152, -4156663/2097152], [1168127/1048576, 4563/4096]]]]
, [[2, 17, 9, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x <
1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [388511/524288,
388511/524288], [-4156663/2097152, -4156663/2097152], [3, 3]]]], [[2, 19, 2, 2
, 1], [v = -2^(1/2), 2 < u, x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [0, 0],
[-4, -4]]]], [[2, 19, 2, 2, 2], [v = -2^(1/2), 2 < u, x = -u^2+1, y = 0, z = -
(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
-8, -8], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[2, 19, 2, 2, 3],
[v = -2^(1/2), 2 < u, x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8],
[0, 0], [-3/8388608, -3/8388608]]]], [[2, 19, 2, 2, 4], [v = -2^(1/2), 2 < u,
x = -u^2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-8, -8], [0, 0], [741455/262144, 2965821/1048576]]]],
[[2, 19, 2, 2, 5], [v = -2^(1/2), 2 < u, x = -u^2+1, y = 0, (u^2-1)^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [0, 0
], [4, 4]]]], [[3, 3, 10, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1
, 1], [-1093221/2097152, -273305/524288], [0, 0]]]], [[3, 5, 5, 5, 1], [And(-2
^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1),
And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [122559/1048576, 122559/1048576], [-2, -2]]]], [[3
, 5, 5, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-\
1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [122559/1048576, 
122559/1048576], [-422485/524288, -3379879/4194304]]]], [[3, 5, 5, 5, 3], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1
), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [122559/1048576, 
122559/1048576], [-3/8388608, -3/8388608]]]], [[3, 5, 5, 5, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(0 <
y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [122559/1048576, 122559/1048576], [844969/1048576, 422485/
524288]]]], [[3, 5, 5, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [122559/1048576, 
122559/1048576], [2, 2]]]], [[3, 11, 9, 4, 1], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [1/2, 1/2], [-7797275/8388608, -3898637/4194304], [-\
2, -2]]]], [[3, 11, 9, 4, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-7797275/8388608, -3898637/4194304], [-1374407/2097152,
-687203/1048576]]]], [[3, 11, 9, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-7797275/8388608, -\
3898637/4194304], [0, 0]]]], [[3, 11, 9, 4, 4], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [1/2, 1/2], [-7797275/8388608, -3898637/4194304], [
687203/1048576, 171801/262144]]]], [[3, 11, 9, 4, 5], [And(-2^(1/2) < v,v < -1
), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [1/2, 1/2], [-7797275/8388608, -3898637/4194304], [
2, 2]]]], [[3, 13, 5, 8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)
^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [401729/524288, 803459/1048576], [-1, -1]]]], [[3,
13, 5, 8, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [401729/524288, 803459/1048576], [0, 0]]]], [[3, 13, 5, 8, 3
], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^
2-v^2-1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [
401729/524288, 803459/1048576], [1, 1]]]], [[3, 13, 11, 4, 1], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-5310985/2097152, -663873/262144], [-2, -2
]]]], [[3, 13, 11, 4, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2]
, [-5310985/2097152, -663873/262144], [-765155/1048576, -1530309/2097152]]]],
[[3, 13, 11, 4, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)),
1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [-5310985/2097152, -663873/262144], [-1/4194304, -1/
4194304]]]], [[3, 13, 11, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2,
2], [-5310985/2097152, -663873/262144], [382577/524288, 765155/1048576]]]], [[
3, 13, 11, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1
< x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
5310985/2097152, -663873/262144], [2, 2]]]], [[3, 15, 6, 3, 1], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [-2599117/2097152, -2599117/
2097152], [-3, -3]]]], [[3, 15, 6, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [0, 0], [-2599117/2097152, -2599117/2097152], [-583671/524288,
-1167341/1048576]]]], [[3, 15, 6, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1
/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [898327/524288, 898327/524288], [0, 0], [-2599117/2097152, -2599117/2097152
], [0, 0]]]], [[3, 15, 6, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [-2599117/2097152, -2599117/2097152], [1167341/1048576, 
583671/524288]]]], [[3, 15, 6, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [0, 0], [-2599117/2097152, -2599117/2097152], [3, 3]]]], [[4,
3, 11, 8, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [0, 0]
, [0, 0]]]], [[4, 5, 6, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, -
u^2+2 < y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [2, 2], [0, 0]]]], [[4, 9, 11,
5, 1], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-17/8, -17/8], [-2, -2]
]]], [[4, 9, 11, 5, 2], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-17/8,
-17/8], [-46341/131072, -370727/1048576]]]], [[4, 9, 11, 5, 3], [v = -1, And(0
< u,u < 1), 1 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-17/8, -17/8], [0, 0]]]
], [[4, 9, 11, 5, 4], [v = -1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-17/8, -\
17/8], [370727/1048576, 46341/131072]]]], [[4, 9, 11, 5, 5], [v = -1, And(0 <
u,u < 1), 1 < x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1, -1], [1/2, 1/2], [2, 2], [-17/8, -17/8], [2, 2]]]], [[4, 11, 8, 2, 1], [v
= -1, And(1 < u,u < 2^(1/2)), x = 0, y = -u^2, z < -u], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [0, 0], [-1527887/1048576, -763943/
524288], [-3, -3]]]], [[4, 11, 8, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), x =
0, y = -u^2, z = -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [0, 0], [-1527887/1048576, -763943/524288], [-1265743/1048576, -\
1265743/1048576]]]], [[4, 11, 8, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 0
, y = -u^2, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [0, 0], [-1527887/1048576, -763943/524288], [0, 0]]]], [[4,
11, 8, 2, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y = -u^2, z = u], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-\
1527887/1048576, -763943/524288], [1265743/1048576, 1265743/1048576]]]], [[4,
11, 8, 2, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y = -u^2, u < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-\
1527887/1048576, -763943/524288], [3, 3]]]], [[5, 2, 4, 5, 1], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1/2, 1/2], [-2, -2]]]],
[[5, 2, 4, 5, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y
< 1), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1]
, [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[5, 2, 4, 5, 3], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1
/2, 1/2], [0, 0]]]], [[5, 2, 4, 5, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[5, 2, 4,
5, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1/2, 1/2]
, [2, 2]]]], [[5, 3, 8, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [0, 0], [0,
0]]]], [[5, 12, 1, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(-
x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2]
, [-4, -4], [5/2, 5/2], [-3, -3]]]], [[5, 12, 1, 5, 2], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [5/2, 5/2], [-1284239/
1048576, -642119/524288]]]], [[5, 12, 1, 5, 3], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [5/2, 5/2], [0, 0]]]],
[[5, 12, 1, 5, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -\
4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[5, 12, 1, 5, 5], [And(-\
1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [5/2, 5/2], [3, 3]]]]
, [[5, 13, 5, 6, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [1/2, 1/2
], [-1, -1]]]], [[5, 13, 5, 6, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(
-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -\
1/2], [1/2, 1/2], [0, 0]]]], [[5, 13, 5, 6, 3], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [3,
3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[6, 6, 2, 2, 1], [v = 0, u = 0, x =
-1, y = 0, z < -1], [regular_chain, [[0, 0], [0, 0], [-1, -1], [0, 0], [-2, -2
]]]], [[6, 6, 2, 2, 2], [v = 0, u = 0, x = -1, y = 0, z = -1], [regular_chain,
[[0, 0], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[6, 6, 2, 2, 3], [v = 0, u =
0, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [-1, -1
], [0, 0], [0, 0]]]], [[6, 6, 2, 2, 4], [v = 0, u = 0, x = -1, y = 0, z = 1],
[regular_chain, [[0, 0], [0, 0], [-1, -1], [0, 0], [1, 1]]]], [[6, 6, 2, 2, 5]
, [v = 0, u = 0, x = -1, y = 0, 1 < z], [regular_chain, [[0, 0], [0, 0], [-1,
-1], [0, 0], [2, 2]]]], [[6, 7, 9, 8, 1], [v = 0, And(0 < u,u < 1), And(0 < x,
x < 1), y = 0, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [0, 0]
, [0, 0]]]], [[6, 11, 10, 6, 1], [v = 0, 2^(1/2) < u, x = u^2-1, y = 0, z = z]
, [regular_chain, [[0, 0], [3, 3], [8, 8], [0, 0], [0, 0]]]], [[7, 2, 1, 7, 1]
, [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(-x < y,y < 1-x), z = z],
[regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [9/2, 9/2], [0, 0]]]], [[
7, 8, 4, 5, 1], [And(0 < v,v < 1), u = v, x = 0, 0 < y, z = z], [regular_chain
, [[1/2, 1/2], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]], [[7, 9, 11, 5, 1], [And(
0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [-9637445/4194304, -9637445/4194304], [-2, -2]]]], [[7, 9, 
11, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2
-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [-9637445/4194304, -9637445/4194304], [-\
1144335/2097152, -572167/1048576]]]], [[7, 9, 11, 5, 3], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [2, 2], [-9637445/4194304, -9637445/4194304], [0, 0]]]], [[7
, 9, 11, 5, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^
2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [-9637445/4194304, -9637445/4194304
], [572167/1048576, 71521/131072]]]], [[7, 9, 11, 5, 5], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2],
[-9637445/4194304, -9637445/4194304], [2, 2]]]], [[7, 10, 7, 2, 1], [And(0 < v
,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-5/
2, -5/2], [-3, -3]]]], [[7, 10, 7, 2, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576,
-741455/524288]]]], [[7, 10, 7, 2, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 
And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
1/2, 1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-5/2, -5/2], [0, 0]]
]], [[7, 10, 7, 2, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1),
y = -x-2, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[7, 
10, 7, 2, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2
, 2^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072],
[1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[7, 12, 1, 2, 1], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
3/2, 3/2], [-4, -4], [0, 0], [-3, -3]]]], [[7, 12, 1, 2, 2], [And(0 < v,v < 1)
, u = (v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1
/2], [3/2, 3/2], [-4, -4], [0, 0], [-2, -2]]]], [[7, 12, 1, 2, 3], [And(0 < v,
v < 1), u = (v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [0, 0], [0, 0]]]], [[7, 
12, 1, 2, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1
/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [0, 0], [2, 2]]]], [[
7, 12, 1, 2, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [0, 0], [3, 3]]]],
[[8, 4, 7, 4, 1], [v = 1, u = -2^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2,
-1/2], [-1, -1]]]], [[8, 4, 7, 4, 2], [v = 1, u = -2^(1/2), And(0 < x,x < 1),
y = -x, z = 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[8, 4, 7, 4, 3], [v = 1, u = -2^(1/2), 
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1, 1], [-1482911/1048576,
-741455/524288], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8, 6, 1, 4, 1], [v = 1
, u = -1, x < -1, y = -1-x, z < -1], [regular_chain, [[1, 1], [-1, -1], [-2, -\
2], [1, 1], [-2, -2]]]], [[8, 6, 1, 4, 2], [v = 1, u = -1, x < -1, y = -1-x, z
= -1], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [-1, -1]]]], [[8,
6, 1, 4, 3], [v = 1, u = -1, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [0, 0]]]], [[8, 6, 1, 4, 4
], [v = 1, u = -1, x < -1, y = -1-x, z = 1], [regular_chain, [[1, 1], [-1, -1]
, [-2, -2], [1, 1], [1, 1]]]], [[8, 6, 1, 4, 5], [v = 1, u = -1, x < -1, y = -\
1-x, 1 < z], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [1, 1], [2, 2]]]], [
[8, 10, 7, 3, 1], [v = 1, u = 1, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [1, 1], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[8, 
10, 7, 3, 2], [v = 1, u = 1, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [1, 1], [2, 2], [-5/2, -5/2], [-1482911/2097152, -\
741455/1048576]]]], [[8, 10, 7, 3, 3], [v = 1, u = 1, 1 < x, And(-1-x < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1, 1]
, [2, 2], [-5/2, -5/2], [0, 0]]]], [[8, 10, 7, 3, 4], [v = 1, u = 1, 1 < x, 
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1, 1], [2,
2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[8, 10, 7, 3, 5], [v = 1,
u = 1, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1]
, [1, 1], [2, 2], [-5/2, -5/2], [2, 2]]]], [[8, 12, 3, 5, 1], [v = 1, u = 2^(1
/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2
]]]], [[8, 12, 3, 5, 2], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [
[8, 12, 3, 5, 3], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]
], [[8, 12, 3, 5, 4], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[8, 
12, 3, 5, 5], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-
y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/
2, -3/2], [3/4, 3/4], [2, 2]]]], [[9, 2, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u
= -(v^2+2)^(1/2), 1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-1/
2, -1/2], [0, 0]]]], [[9, 4, 3, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [3, 3], [0
, 0]]]], [[9, 12, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, And(-1 < y,
y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[9, 14, 2, 5, 1],
[And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, 2 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [3, 3], [0, 0]]]], [[10, 2, 9, 2, 1], [v = 2^(1/2), u = -2,
1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [-5, -5], [-3, -3]]]], [[10, 2, 9, 2, 2], [v = 2^(
1/2), u = -2, 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [2, 2], [-5, -5], [-1816187/1048576, -3632373/
2097152]]]], [[10, 2, 9, 2, 3], [v = 2^(1/2), u = -2, 1 < x, y = -x-3, And(-3^
(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
2, -2], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[10, 2, 9, 2, 4], [v =
2^(1/2), u = -2, 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[10, 2, 9, 2, 5], [v = 2^(1/2), u = -2, 1 < x, y = -x-3, 3^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [-5
, -5], [3, 3]]]], [[10, 4, 3, 2, 1], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x
< -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/2, -1/2], [-\
3, -3]]]], [[10, 4, 3, 2, 2], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1),
y = -x-2, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[10, 4, 3, 2, 3], [v = 2^(1/2), u = -3^(1/2), 
And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3/2
, -3/2], [-1/2, -1/2], [0, 0]]]], [[10, 4, 3, 2, 4], [v = 2^(1/2), u = -3^(1/2
), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/2,
-1/2], [741455/524288, 1482911/1048576]]]], [[10, 4, 3, 2, 5], [v = 2^(1/2), u
= -3^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3/2,
-3/2], [-1/2, -1/2], [3, 3]]]], [[10, 8, 8, 6, 1], [v = 2^(1/2), u = -1, x = 1
, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[1, 1], [0, 0], [0, 0]]]], [[10, 10, 2, 4, 1], [v = 2^(1/2), u = 0, x = -3, y
= 3, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -\
3], [3, 3], [-1, -1]]]], [[10, 10, 2, 4, 2], [v = 2^(1/2), u = 0, x = -3, y =
3, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3]
, [3, 3], [0, 0]]]], [[10, 10, 2, 4, 3], [v = 2^(1/2), u = 0, x = -3, y = 3, 0
< z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [3,
3], [1, 1]]]], [[10, 16, 4, 5, 1], [v = 2^(1/2), u = 3^(1/2), x = -1, And(0 <
y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 
16, 4, 5, 2], [v = 2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[10, 16, 4, 5, 3], [v = 2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), And
(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [
[10, 16, 4, 5, 4], [v = 2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), z = (1
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[10
, 16, 4, 5, 5], [v = 2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 17, 10, 4, 1], [v = 2
^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -1, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [
-1, -1], [-1, -1]]]], [[10, 17, 10, 4, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2
), x = 1, y = -1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [1, 1], [-1, -1], [0, 0]]]], [[10, 17, 10,
4, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [1, 1], [-1, -1], [1, 1]]]], [[10, 18, 4, 3, 1], [v = 2^(1/2), u = 2
, x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-1, -1], [-1, -1], [-3, -3]]]], [[10, 18, 4
, 3, 2], [v = 2^(1/2), u = 2, x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [-1, -1],
[-1482911/1048576, -741455/524288]]]], [[10, 18, 4, 3, 3], [v = 2^(1/2), u = 2
, x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [-1, -1],
[0, 0]]]], [[10, 18, 4, 3, 4], [v = 2^(1/2), u = 2, x = -1, And(-2 < y,y < 0),
z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [
-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[10, 18, 4, 3, 5], [v
= 2^(1/2), u = 2, x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [-1, -1], [3, 3]]]], [[10
, 19, 8, 8, 1], [v = 2^(1/2), 2 < u, x = 1, y = u^2-4, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [1, 1], [5, 5], [0, 0]]]], [[11, 6,
6, 1, 1], [2^(1/2) < v, u = -v, x = 1, y < -2, z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [-3, -3], [-3, -3]]]], [[11, 6, 6, 1
, 2], [2^(1/2) < v, u = -v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain,
[[3, 3], [-3, -3], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[
11, 6, 6, 1, 3], [2^(1/2) < v, u = -v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z
< (-y-1)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-3, -3], [0, 0]]
]], [[11, 6, 6, 1, 4], [2^(1/2) < v, u = -v, x = 1, y < -2, z = (-y-1)^(1/2)],
[regular_chain, [[3, 3], [-3, -3], [1, 1], [-3, -3], [741455/524288, 1482911/
1048576]]]], [[11, 6, 6, 1, 5], [2^(1/2) < v, u = -v, x = 1, y < -2, (-y-1)^(1
/2) < z], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-3, -3], [3, 3]]]], [[11
, 8, 2, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/
2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2],
[-1, -1], [-3, -3]]]], [[11, 8, 2, 1, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x
= -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]]
, [[11, 8, 2, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, y < 0, And(-(2-
y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 8, 2
, 1, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-2, -2], [-1,
-1], [908093/524288, 1816187/1048576]]]], [[11, 8, 2, 1, 5], [2^(1/2) < v, u =
-(v^2-1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [-1, -1], [3, 3]]]], [[11, 12,
2, 4, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, y = 3, z < 0], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3], [3, 3], [-1,
-1]]]], [[11, 12, 2, 4, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, y = 3, z
= 0], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3], [3, 3]
, [0, 0]]]], [[11, 12, 2, 4, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, y =
3, 0 < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3], [
3, 3], [1, 1]]]], [[11, 13, 7, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/
524288, 133259/524288], [-11586825/4194304, -1448353/524288], [-3, -3]]]], [[
11, 13, 7, 2, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(
0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [-11586825/4194304, -1448353/524288], [-3321417/2097152, -\
415177/262144]]]], [[11, 13, 7, 2, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [133259/524288, 133259/524288], [-11586825/4194304, -1448353/
524288], [0, 0]]]], [[11, 13, 7, 2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)
^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/
524288, 133259/524288], [-11586825/4194304, -1448353/524288], [415177/262144,
1660709/1048576]]]], [[11, 13, 7, 2, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/
2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/
524288, 133259/524288], [-11586825/4194304, -1448353/524288], [3, 3]]]], [[11,
19, 10, 6, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1,
y = u^2-v^2-2, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [1, 1], [-132633/262144, -1061063/2097152], [0, 0]]]], [[11, 21, 4,
2, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-16, -16], [-6, -6]]]], [
[11, 21, 4, 2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-16, -16], [-\
2161695/524288, -4323389/1048576]]]], [[11, 21, 4, 2, 3], [2^(1/2) < v, (v^2+2
)^(1/2) < u, x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-16, -16], [0, 0]]]], [[
11, 21, 4, 2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-1, -1], [-16, -16], [
4323389/1048576, 2161695/524288]]]], [[11, 21, 4, 2, 5], [2^(1/2) < v, (v^2+2)
^(1/2) < u, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [5, 5], [-1, -1], [-16, -16], [6, 6]]]], [[1, 4, 8, 1, 1], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -\
3], [-3315889/1048576, -207243/65536], [1, 1], [-4, -4], [-3, -3]]]], [[1, 4,
8, 1, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)]
, [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1], [-4, -\
4], [-1816187/1048576, -3632373/2097152]]]], [[1, 4, 8, 1, 3], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1], [-4, -4],
[-1/4194304, -1/4194304]]]], [[1, 4, 8, 1, 4], [v < -2^(1/2), u = -(v^2+1)^(1/
2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]]
, [[1, 4, 8, 1, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = 1, y < -3, (-y-1)^(
1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1, 1
], [-4, -4], [3, 3]]]], [[1, 6, 1, 4, 1], [v < -2^(1/2), u = v, x < -1, y = -1
-x, z < -1], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1], [-2, -2]]]
], [[1, 6, 1, 4, 2], [v < -2^(1/2), u = v, x < -1, y = -1-x, z = -1], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1], [-1, -1]]]], [[1, 6, 1,
4, 3], [v < -2^(1/2), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1], [0, 0]]]], [[1, 6, 1, 4,
4], [v < -2^(1/2), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[-3, -3],
[-3, -3], [-2, -2], [1, 1], [1, 1]]]], [[1, 6, 1, 4, 5], [v < -2^(1/2), u = v,
x < -1, y = -1-x, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [1, 1
], [2, 2]]]], [[1, 12, 3, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,
x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[1, 12, 3,
3, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [[1, 12,
3, 3, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y
< 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[1, 12, 3, 3
, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0
), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096]
, [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[1, 12, 3, 3,
5], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0),
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [
-2, -2], [-1/2, -1/2], [3, 3]]]], [[1, 13, 7, 4, 1], [v < -2^(1/2), And((v^2-2
)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -x, z < 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [-133259/524288, -133259/524288], [-1, -1]]]], [[1, 13, 7, 4,
2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^
2+v^2-1), y = -x, z = 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [-133259/524288, -133259/524288], [0,
0]]]], [[1, 13, 7, 4, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), And(0 < x,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [-133259/
524288, -133259/524288], [1, 1]]]], [[1, 18, 1, 2, 1], [v < -2^(1/2), u = (v^2
+1)^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [207243
/65536, 3315889/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[1, 18, 1, 2, 2], [v
< -2^(1/2), u = (v^2+1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain
, [[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [0, 0], [-1816187/
1048576, -3632373/2097152]]]], [[1, 18, 1, 2, 3], [v < -2^(1/2), u = (v^2+1)^(
1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
3, -3], [207243/65536, 3315889/1048576], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[1, 18, 1, 2, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x < -2, y =
0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576]
, [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[1, 18, 1, 2, 5], [v
< -2^(1/2), u = (v^2+1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [-3, -3], [0, 0], [3, 3]]]], [[1,
19, 7, 3, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 <
x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [-391655/262144, -391655/262144], [-3, -3]]]], [[1, 19, 7, 3,
2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2
-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-\
391655/262144, -391655/262144], [-1170947/1048576, -585473/524288]]]], [[1, 19
, 7, 3, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x
,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/524288, 129511/524288], [-391655/262144, -391655/262144], [0, 0]]]], [[
1, 19, 7, 3, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [-391655/262144, -391655/262144], [585473/524288, 1170947/
1048576]]]], [[1, 19, 7, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511
/524288, 129511/524288], [-391655/262144, -391655/262144], [3, 3]]]], [[2, 4,
1, 4, 1], [v = -2^(1/2), u = -3^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[2, 4, 1, 4, 2], [v = -2^(1/
2), u = -3^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [1,
1], [-1482911/1048576, -741455/524288]]]], [[2, 4, 1, 4, 3], [v = -2^(1/2), u
= -3^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3
, -3], [1, 1], [0, 0]]]], [[2, 4, 1, 4, 4], [v = -2^(1/2), u = -3^(1/2), x < -\
2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [741455/524288, 
1482911/1048576]]]], [[2, 4, 1, 4, 5], [v = -2^(1/2), u = -3^(1/2), x < -2, y
= -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [3, 3]]]], [[2, 5, 7, 5,
1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(u^2-x-3
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/
4194304], [-34423/262144, -34423/262144], [-2, -2]]]], [[2, 5, 7, 5, 2], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0
), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-\
34423/262144, -34423/262144], [-82267/131072, -1316271/2097152]]]], [[2, 5, 7,
5, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(u^2-x
-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-34423/262144, -34423/262144], [-1/
4194304, -1/4194304]]]], [[2, 5, 7, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [-34423/262144, -34423
/262144], [658135/1048576, 82267/131072]]]], [[2, 5, 7, 5, 5], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), (-x-y)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-34423/
262144, -34423/262144], [2, 2]]]], [[2, 6, 2, 2, 1], [v = -2^(1/2), u = v, x =
-1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-2, -2]]]], [[2, 6, 2, 2,
2], [v = -2^(1/2), u = v, x = -1, y = 0, z = -1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [0, 0]
, [-1, -1]]]], [[2, 6, 2, 2, 3], [v = -2^(1/2), u = v, x = -1, y = 0, And(-1 <
z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [0, 0]]]], [[2, 6, 2, 2, 4], [v =
-2^(1/2), u = v, x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [1, 1]]]
], [[2, 6, 2, 2, 5], [v = -2^(1/2), u = v, x = -1, y = 0, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1, -1], [0, 0], [2, 2]]]], [[2, 7, 9, 8, 1], [v = -2^(1/2), And(v
< u,u < -1), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [0
, 0], [0, 0]]]], [[2, 13, 9, 9, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 <
x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[2, 15, 6,
4, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y = 0, z < -(-u^2+3)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152
, 3299097/2097152], [-1101541/2097152, -275385/524288], [0, 0], [-2, -2]]]], [
[2, 15, 6, 4, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y = 0, z
= -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [0, 0],
[-1519901/2097152, -379975/524288]]]], [[2, 15, 6, 4, 3], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = u^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-1101541/2097152, -275385/524288], [0, 0], [0, 0]]]], [[2,
15, 6, 4, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y = 0, z = (-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [0, 0], [379975
/524288, 759951/1048576]]]], [[2, 15, 6, 4, 5], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = u^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1101541/
2097152, -275385/524288], [0, 0], [2, 2]]]], [[2, 19, 7, 8, 1], [v = -2^(1/2),
2 < u, And(0 < x,x < 1), y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [1/2, 1/2], [11/2, 11/2], [0, 0]]]], [[3, 1,
9, 7, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2
-1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [363259/262144
, 363259/262144], [0, 0]]]], [[3, 7, 11, 6, 1], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2,
-2], [-1, -1]]]], [[3, 7, 11, 6, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2, -2], [0,
0]]]], [[3, 7, 11, 6, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1
/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2, -2], [1, 1]]]], [
[3, 9, 6, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), x = 0, And(0 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [239655/1048576, 239655/1048576],
[0, 0]]]], [[3, 17, 7, 2, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, 
And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-4741081/524288, -\
9482161/1048576], [-4, -4]]]], [[3, 17, 7, 2, 2], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-\
4741081/524288, -9482161/1048576], [-1532401/524288, -24518415/8388608]]]], [[
3, 17, 7, 2, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1
), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-\
4741081/524288, -9482161/1048576], [-7/16777216, -7/16777216]]]], [[3, 17, 7,
2, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^
2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [1/2, 1/2], [-4741081/524288, -9482161/1048576], [
3064801/1048576, 1532401/524288]]]], [[3, 17, 7, 2, 5], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2
], [-4741081/524288, -9482161/1048576], [4, 4]]]], [[4, 1, 9, 1, 1], [v = -1,
u < -3^(1/2), And(1 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-14, -14], [-5, -5]]]], [[4, 1, 9
, 1, 2], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [-14, -14], [-3315889/
1048576, -207243/65536]]]], [[4, 1, 9, 1, 3], [v = -1, u < -3^(1/2), And(1 < x
,x < u^2-2), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-14, -14], [0, 0]]]], [[4, 1, 9,
1, 4], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), y < -u^2-x, z = (-x-y)^(1/
2)], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [-14, -14], [207243/65536, 
3315889/1048576]]]], [[4, 1, 9, 1, 5], [v = -1, u < -3^(1/2), And(1 < x,x < u^
2-2), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [4,
4], [-14, -14], [5, 5]]]], [[4, 7, 11, 2, 1], [v = -1, And(-1 < u,u < 0), 1 <
x, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2],
[2, 2], [-15/4, -15/4], [-3, -3]]]], [[4, 7, 11, 2, 2], [v = -1, And(-1 < u,u
< 0), 1 < x, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1
/2, -1/2], [2, 2], [-15/4, -15/4], [-10837/8192, -1387135/1048576]]]], [[4, 7,
11, 2, 3], [v = -1, And(-1 < u,u < 0), 1 < x, y = u^2-x-2, And(-(-u^2+2)^(1/2)
< z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-\
15/4, -15/4], [0, 0]]]], [[4, 7, 11, 2, 4], [v = -1, And(-1 < u,u < 0), 1 < x,
y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [2,
2], [-15/4, -15/4], [1387135/1048576, 10837/8192]]]], [[4, 7, 11, 2, 5], [v =
-1, And(-1 < u,u < 0), 1 < x, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain
, [[-1, -1], [-1/2, -1/2], [2, 2], [-15/4, -15/4], [3, 3]]]], [[4, 9, 6, 1, 1]
, [v = -1, And(0 < u,u < 1), x = -u^2, y < 2*u^2-2, z < -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3, -3], [-3, -3]]]], [[4
, 9, 6, 1, 2], [v = -1, And(0 < u,u < 1), x = -u^2, y < 2*u^2-2, z = -(u^2-y)^
(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3, -3], [-\
3780695/2097152, -7561389/4194304]]]], [[4, 9, 6, 1, 3], [v = -1, And(0 < u,u
< 1), x = -u^2, y < 2*u^2-2, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3, -3], [-1/8388608, -1/
8388608]]]], [[4, 9, 6, 1, 4], [v = -1, And(0 < u,u < 1), x = -u^2, y < 2*u^2-\
2, z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-\
3, -3], [1890347/1048576, 472587/262144]]]], [[4, 9, 6, 1, 5], [v = -1, And(0
< u,u < 1), x = -u^2, y < 2*u^2-2, (u^2-y)^(1/2) < z], [regular_chain, [[-1, -\
1], [1/2, 1/2], [-1/4, -1/4], [-3, -3], [3, 3]]]], [[4, 13, 10, 8, 1], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [1, 1], [0, 0], [0, 0]]]], [[4, 15, 3,
9, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), u^2-x-2 < y, z = z], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [13, 13], [0, 0]]]], [[5, 5, 11, 3
, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [-3, -3], [-2, -2]]]], [[5, 5, 11,
3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-
x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-1696631/2097152, -1696631/2097152], [2, 2], [-3, -3], [-1, -1]]]], [[5, 5, 11
, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^
2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-\
3, -3], [0, 0]]]], [[5, 5, 11, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-\
3, -3], [1, 1]]]], [[5, 5, 11, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-\
3, -3], [2, 2]]]], [[5, 7, 7, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-u^2+v^2-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [0,
0], [-3/8, -3/8], [2, 2], [0, 0]]]], [[5, 8, 2, 4, 1], [And(-1 < v,v < 0), u =
-v, x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1]
, [1, 1], [-1, -1]]]], [[5, 8, 2, 4, 2], [And(-1 < v,v < 0), u = -v, x = -1, y
= 1, z = 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1, 1], [0,
0]]]], [[5, 8, 2, 4, 3], [And(-1 < v,v < 0), u = -v, x = -1, y = 1, 0 < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1, 1], [1, 1]]]], [[5, 9,
10, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+
v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-4, -4], [-3, -3]]]], [[5, 9, 10, 1, 2], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1
], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[5, 9, 10, 1, 3], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-\
1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[5,
9, 10, 1, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u
^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[5,
9, 10, 1, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y < -u
^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [1, 1], [-4, -4], [3, 3]]]], [[6, 2, 6, 2, 1], [v = 0, u = -
2^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [0, 0], [-3, -3], [-3, -3]]]], [[6, 2, 6, 2, 2], [v
= 0, u = -2^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 2, 6, 2, 3], [v = 0, u = -2^(1/2), x = 0, y = -3, 
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[6, 2, 6, 2, 4
], [v = 0, u = -2^(1/2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [908093/524288, 1816187/
1048576]]]], [[6, 2, 6, 2, 5], [v = 0, u = -2^(1/2), x = 0, y = -3, 3^(1/2) <
z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [-3,
-3], [3, 3]]]], [[6, 3, 10, 5, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, 
And(-1 < y,y < u^2-2), z = z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-3235683/4194304, -3235683/4194304], [0, 0]]]], [[6
, 8, 4, 7, 1], [v = 0, u = 1, x = -1, 1 < y, z = z], [regular_chain, [[0, 0],
[1, 1], [-1, -1], [2, 2], [0, 0]]]], [[6, 9, 10, 2, 1], [v = 0, And(1 < u,u <
2^(1/2)), x = 1, y = -u^2-2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1, 1], [-3625039/1048576, -1812519/524288]
, [-3, -3]]]], [[6, 9, 10, 2, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y = -
u^2-2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743
/1048576], [1, 1], [-3625039/1048576, -1812519/524288], [-410915/262144, -\
3287319/2097152]]]], [[6, 9, 10, 2, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = 1,
y = -u^2-2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0
], [1265743/1048576, 1265743/1048576], [1, 1], [-3625039/1048576, -1812519/
524288], [-1/4194304, -1/4194304]]]], [[6, 9, 10, 2, 4], [v = 0, And(1 < u,u <
2^(1/2)), x = 1, y = -u^2-2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1, 1], [-3625039/1048576, -1812519/524288]
, [1643659/1048576, 410915/262144]]]], [[6, 9, 10, 2, 5], [v = 0, And(1 < u,u
< 2^(1/2)), x = 1, y = -u^2-2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1, 1], [-3625039/1048576, -1812519/524288]
, [3, 3]]]], [[7, 4, 5, 4, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 <
x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[7, 4, 5, 4, 2]
, [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(
1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2,
-1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[7, 4, 5, 4, 3], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[7, 4, 5, 4, 4], [And(0 < v,v < 1)
, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[0, 0], [741455/1048576, 46341/65536]]]], [[7, 4, 5, 4, 5], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [0, 0], [2, 2]]
]], [[7, 5, 10, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x =
1, y = -1, z < 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [-1, -1], [-1, -1]]]], [[7, 5, 10, 6, 2], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -1, z = 0], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-1, -1], [0, 0]]]], [[7,
5, 10, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -1
, 0 < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
1, 1], [-1, -1], [1, 1]]]], [[8, 1, 1, 4, 1], [v = 1, u < -3^(1/2), x < -u^2,
y = -u^2-x, z < u], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [1, 1], [-4
, -4]]]], [[8, 1, 1, 4, 2], [v = 1, u < -3^(1/2), x < -u^2, y = -u^2-x, z = u]
, [regular_chain, [[1, 1], [-3, -3], [-10, -10], [1, 1], [-3, -3]]]], [[8, 1,
1, 4, 3], [v = 1, u < -3^(1/2), x < -u^2, y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [1, 1], [0, 0]]]], [[8, 1, 1, 4,
4], [v = 1, u < -3^(1/2), x < -u^2, y = -u^2-x, z = -u], [regular_chain, [[1,
1], [-3, -3], [-10, -10], [1, 1], [3, 3]]]], [[8, 1, 1, 4, 5], [v = 1, u < -3^
(1/2), x < -u^2, y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-3, -3], [-10,
-10], [1, 1], [4, 4]]]], [[8, 2, 3, 9, 1], [v = 1, u = -3^(1/2), And(-3 < x,x
< -1), 1-x < y, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [4, 4], [0, 0]]]], [[8, 8, 6, 3, 1], [v = 1, u = 0, x = 0,
And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [0, 0],
[-1, -1], [-2, -2]]]], [[8, 8, 6, 3, 2], [v = 1, u = 0, x = 0, And(-2 < y,y <
0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [0, 0], [-1, -1], [-1,
-1]]]], [[8, 8, 6, 3, 3], [v = 1, u = 0, x = 0, And(-2 < y,y < 0), And(-(-y)^(
1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [0, 0], [0, 0], [-1, -1],
[0, 0]]]], [[8, 8, 6, 3, 4], [v = 1, u = 0, x = 0, And(-2 < y,y < 0), z = (-y)
^(1/2)], [regular_chain, [[1, 1], [0, 0], [0, 0], [-1, -1], [1, 1]]]], [[8, 8,
6, 3, 5], [v = 1, u = 0, x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [0, 0], [-1, -1], [2, 2]]]], [[8, 9, 11, 7, 1]
, [v = 1, And(0 < u,u < 1), 1 < x, And(-x < y,y < 0), z = z], [regular_chain,
[[1, 1], [1/2, 1/2], [2, 2], [-1, -1], [0, 0]]]], [[8, 14, 5, 1, 1], [v = 1, u
= 3^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-4, -4], [-4, -4]]]],
[[8, 14, 5, 1, 2], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-
y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -\
1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[8, 14, 5, 1, 3], [v
= 1, u = 3^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -\
1/2], [-4, -4], [0, 0]]]], [[8, 14, 5, 1, 4], [v = 1, u = 3^(1/2), And(-1 < x,
x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]]
, [[8, 14, 5, 1, 5], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^
(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [-4, -4], [4, 4]]]], [[8, 15, 9, 6, 1], [v = 1, 3^(1/2) < u, And(1 < x,
x < u^2-2), y = 0, z = z], [regular_chain, [[1, 1], [3, 3], [4, 4], [0, 0], [0
, 0]]]], [[9, 6, 6, 6, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y = 0, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[9, 8, 3, 1, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[9, 8, 3, 1, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/
524288]]]], [[9, 8, 3, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And
(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[9, 8, 3, 1, 4], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [
[9, 8, 3, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), And(-2 < x,x < -\
1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-2, -2], [3, 3]]]
], [[9, 8, 9, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, y = -
x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [2, 2], [-2, -2], [-1, -1]]]], [[9, 8, 9, 4, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [2, 2], [-2, -2], [0, 0]]]], [[9, 8, 9, 4, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-2, -2
], [1, 1]]]], [[9, 10, 3, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 
And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743
/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/2, 3/2], [-1, -1]
]]], [[9, 10, 3, 6, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x
,x < -1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[9, 10,
3, 6, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y =
-x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[9, 16, 6, 2, 1
], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y = -3, z < -3^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-3, -3], [-3, -3]]]], [[9, 16, 6, 2, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-\
3, -3], [-1816187/1048576, -3632373/2097152]]]], [[9, 16, 6, 2, 3], [And(1 < v
,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649
/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[9, 16, 6, 2, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y = -3, z = 3^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[9, 16, 6, 2
, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-3, -3], [3, 3]]]], [[9, 17, 10, 7, 1], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288],
[1, 1], [0, 0]]]], [[10, 4, 9, 5, 1], [v = 2^(1/2), u = -3^(1/2), 1 < x, And(-
x < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [2, 2], [-1, -1], [0, 0]]]], [[10, 6, 3, 7
, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2,
-1/2], [2, 2], [0, 0]]]], [[10, 12, 5, 4, 1], [v = 2^(1/2), u = 1, And(-1 < x,
x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 12, 5, 4, 2], [v =
2^(1/2), u = 1, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[10, 12, 5, 4, 3], [v = 2^(1/2), u = 1, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10
, 12, 5, 4, 4], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[10, 12, 5, 4, 5], [v = 2^(1/2), u = 1,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 13, 11, 1, 1]
, [v = 2^(1/2), And(1 < u,u < v), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-5, -5], [-3, -3]]]], [[10, 13, 11, 1, 2], [v = 2^(1/2), 
And(1 < u,u < v), 1 < x, y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [
-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[10, 13, 11, 1, 3], [v = 2^
(1/2), And(1 < u,u < v), 1 < x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[10, 13, 11,
1, 4], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y < u^2-x-3, z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[10, 13, 11,
1, 5], [v = 2^(1/2), And(1 < u,u < v), 1 < x, y < u^2-x-3, (-x-y)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [-5, -5], [3, 3]]]], [[11, 2, 7, 1, 1], [2^(1/2) < v, u = -(
v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-5, -5], [-4, -4]]]
], [[11, 2, 7, 1, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[11,
2, 7, 1, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [1/2, 1/2], [-5, -5], [0, 0]]]], [[11, 2, 7, 1, 4],
[2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [
-5, -5], [2224365/1048576, 1112183/524288]]]], [[11, 2, 7, 1, 5], [2^(1/2) < v
, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-5,
-5], [4, 4]]]], [[11, 3, 11, 6, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [-394777/262144, -3158215/2097152]
, [0, 0]]]], [[11, 10, 4, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y <
-2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[11, 10, 4, 1, 2], [2^(1/2) < v, u
= -(v^2-2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[11, 
10, 4, 1, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271
/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[11, 10, 4, 1, 4], [2^(1/2) < v, u
= -(v^2-2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[3, 3], [
-5548543/2097152, -2774271/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[11, 10,
4, 1, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-3,
-3], [3, 3]]]], [[11, 11, 8, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (
v^2-2)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[3, 3], [0, 0], [1, 1],
[0, 0], [0, 0]]]], [[11, 15, 9, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-\
133230053/134217728, -33307513/33554432], [-2, -2]]]], [[11, 15, 9, 4, 2], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [-133230053/134217728, -33307513/33554432], [-735979/
1048576, -1471957/2097152]]]], [[11, 15, 9, 4, 3], [2^(1/2) < v, And((v^2-1)^(
1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [-133230053/134217728, -33307513/33554432], [-1/4194304,
-1/4194304]]]], [[11, 15, 9, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v)
, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-133230053/134217728
, -33307513/33554432], [367989/524288, 735979/1048576]]]], [[11, 15, 9, 4, 5],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [-133230053/134217728, -33307513/33554432], [2, 2]]]], [
[11, 17, 6, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
And(-2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-\
33112529/67108864, -33112529/67108864], [-2, -2]]]], [[11, 17, 6, 3, 2], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y <
0), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-531193/1048576, -1062385/2097152], [-33112529/67108864, -\
33112529/67108864], [-34359738247/34359738368, -281474975719423/
281474976710656]]]], [[11, 17, 6, 3, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/2) <
z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-531193/1048576, -1062385/2097152], [-33112529/67108864, -33112529/
67108864], [-267444223/562949953421312, -267444223/562949953421312]]]], [[11,
17, 6, 3, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-\
2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-33112529
/67108864, -33112529/67108864], [1048575/1048576, 1]]]], [[11, 17, 6, 3, 5], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y
,y < 0), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-531193/1048576, -1062385/2097152], [-33112529/67108864, -\
33112529/67108864], [2, 2]]]], [[1, 1, 3, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(
1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
3, -3], [-5, -5], [-9, -9], [0, 0], [-4, -4]]]], [[1, 1, 3, 4, 2], [v < -2^(1/
2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [0, 0], [-3, -3]]]], [[1, 1, 3,
4, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-9
, -9], [0, 0], [0, 0]]]], [[1, 1, 3, 4, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2),
And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3],
[-5, -5], [-9, -9], [0, 0], [3, 3]]]], [[1, 1, 3, 4, 5], [v < -2^(1/2), u < -(
v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [-9, -9], [0, 0], [4, 4]]]], [[1, 2, 5, 7,
1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x),
z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1/2,
-1/2], [1, 1], [0, 0]]]], [[1, 8, 9, 2, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2),
1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [2, 2], [-4, -4], [-3, -3]]]], [[1, 8, 9, 2, 2], [v < -2^(
1/2), u = -(v^2-1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[-3
, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [-4, -4], [-1482911/
1048576, -741455/524288]]]], [[1, 8, 9, 2, 3], [v < -2^(1/2), u = -(v^2-1)^(1/
2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3]
, [-2965821/1048576, -11863283/4194304], [2, 2], [-4, -4], [0, 0]]]], [[1, 8,
9, 2, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [-4,
-4], [741455/524288, 1482911/1048576]]]], [[1, 8, 9, 2, 5], [v < -2^(1/2), u =
-(v^2-1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [2, 2], [-4, -4], [3, 3]]]], [[1, 10, 2,
7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, 4 < y, z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [5,
5], [0, 0]]]], [[1, 14, 1, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, 
And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[1, 14, 1, 5, 2], [v
< -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [2,
2], [-1, -1]]]], [[1, 14, 1, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2,
And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [2, 2], [0, 0]]]], [[
1, 14, 1, 5, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3, -3], [2, 2], [1, 1]]]], [[1, 14, 1, 5, 5], [v < -2^(1/2), u = (
v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [741455/262144, 2965821/1048576], [-3, -3], [2, 2], [2, 2]]]], [[1,
15, 8, 1, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y < u^2-v^2
-1, z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [0, 0], [-3, -3], [-3, -3]]]], [[1, 15, 8, 1, 2], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[1, 15, 8, 1, 3], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (
-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0
, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 15, 8, 1, 4], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-3, -3]
, [908093/524288, 1816187/1048576]]]], [[1, 15, 8, 1, 5], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-3, -3]
, [3, 3]]]], [[1, 21, 9, 5, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x
< u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [5, 5], [8
, 8], [-4, -4], [0, 0]]]], [[2, 2, 1, 1, 1], [v = -2^(1/2), u = -2, x < -3, y
< 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-4, -4], [-1, -1], [-4, -4]]]], [[2, 2, 1, 1, 2], [v = -2^(1/2), u
= -2, x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576
]]]], [[2, 2, 1, 1, 3], [v = -2^(1/2), u = -2, x < -3, y < 0, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-4, -4], [-1, -1], [0, 0]]]], [[2, 2, 1, 1, 4], [v = -2^(1/2), u =
-2, x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]
]], [[2, 2, 1, 1, 5], [v = -2^(1/2), u = -2, x < -3, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-4, -4], [-1,
-1], [4, 4]]]], [[2, 9, 11, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), 1 < x, 0
< y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2]
, [2, 2], [1, 1], [0, 0]]]], [[2, 11, 5, 5, 1], [v = -2^(1/2), And(0 < u,u < 1
), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [-2,
-2]]]], [[2, 11, 5, 5, 2], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[2, 11
, 5, 5, 3], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2
, 11, 5, 5, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 11, 5, 5, 5], [v
= -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/
2, -1/2], [1/4, 1/4], [2, 2]]]], [[2, 17, 9, 2, 1], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), And(u^2-3 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576],
[-3, -3]]]], [[2, 17, 9, 2, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2
-3 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [388511/524288,
388511/524288], [-1689821/524288, -3379641/1048576], [-825991/524288, -3303963
/2097152]]]], [[2, 17, 9, 2, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^
2-3 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576],
[-1/4194304, -1/4194304]]]], [[2, 17, 9, 2, 4], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), And(u^2-3 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576],
[1651981/1048576, 825991/524288]]]], [[2, 17, 9, 2, 5], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), And(u^2-3 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576],
[3, 3]]]], [[2, 19, 2, 5, 1], [v = -2^(1/2), 2 < u, x = -u^2+1, And(u^2-1 < y,
y < 2*u^2-4), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-8, -8], [11, 11], [0, 0]]]], [[3, 3, 10, 3, 1], [And(-2^(1/2) < v,v < -1
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -\
1), z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [1, 1], [-4696269/2097152, -4696269/
2097152], [-3, -3]]]], [[3, 3, 10, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y
-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [-4696269/2097152, -4696269/2097152], [-\
583671/524288, -1167341/1048576]]]], [[3, 3, 10, 3, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y <
-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-\
4696269/2097152, -4696269/2097152], [0, 0]]]], [[3, 3, 10, 3, 4], [And(-2^(1/2
) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2
-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-4696269/
2097152, -4696269/2097152], [1167341/1048576, 583671/524288]]]], [[3, 3, 10, 3
, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [
-4696269/2097152, -4696269/2097152], [3, 3]]]], [[3, 5, 5, 6, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = u
^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [122559/524288, 245119/1048576], [-2, -2]]]], [[3, 5, 5, 6,
2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u
^2-v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [122559/524288, 245119/1048576], [-1530309
/2097152, -382577/524288]]]], [[3, 5, 5, 6, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [122559/524288, 245119/1048576], [0, 0]]]], [[3, 5
, 5, 6, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 <
x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [122559/524288, 245119/1048576], [382577/
524288, 765155/1048576]]]], [[3, 5, 5, 6, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [
122559/524288, 245119/1048576], [2, 2]]]], [[3, 11, 9, 3, 1], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-25165819/
16777216, -25165819/16777216], [-2, -2]]]], [[3, 11, 9, 3, 2], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-25165819/
16777216, -25165819/16777216], [-33554427/33554432, -4398045855743/
4398046511104]]]], [[3, 11, 9, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(
1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-25165819/
16777216, -25165819/16777216], [-3538943/8796093022208, -3538943/8796093022208
]]]], [[3, 11, 9, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [-25165819/16777216, -25165819/16777216], [
1048575/1048576, 1]]]], [[3, 11, 9, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1)
, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [-25165819/16777216, -25165819/
16777216], [2, 2]]]], [[3, 13, 6, 2, 1], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-122559/131072, -\
7843775/8388608], [-3, -3]]]], [[3, 13, 6, 2, 2], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-122559/131072
, -7843775/8388608], [-1270261/1048576, -317565/262144]]]], [[3, 13, 6, 2, 3],
[And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -\
2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-122559/131072, -\
7843775/8388608], [0, 0]]]], [[3, 13, 6, 2, 4], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576
, 1454701/1048576], [-1116681/2097152, -139585/262144], [-122559/131072, -\
7843775/8388608], [317565/262144, 1270261/1048576]]]], [[3, 13, 6, 2, 5], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^
2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/
262144], [-122559/131072, -7843775/8388608], [3, 3]]]], [[3, 13, 11, 3, 1], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
12582911/4194304, -12582911/4194304], [-2, -2]]]], [[3, 13, 11, 3, 2], [And(-2
^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y
,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-12582911/
4194304, -12582911/4194304], [-8388607/8388608, -4398045986815/4398046511104]]
]], [[3, 13, 11, 3, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-12582911/4194304, -12582911/4194304], [-\
3670015/8796093022208, -3670015/8796093022208]]]], [[3, 13, 11, 3, 4], [And(-2
^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y
,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-12582911/
4194304, -12582911/4194304], [1048575/1048576, 1]]]], [[3, 13, 11, 3, 5], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-12582911/
4194304, -12582911/4194304], [2, 2]]]], [[3, 15, 6, 6, 1], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = u^2-v^2-1, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [501965/1048576, 250983/524288], [0, 0]]]], [[4, 3, 11, 5, 1]
, [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-x < y,y < u^2-x-2), z =
z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2], [
-1848249/1048576, -1848249/1048576], [0, 0]]]], [[4, 5, 7, 1, 1], [v = -1, And
(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-3, -3], [-3, -3]]]], [[4, 5, 7, 1, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y < -u^2-x, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-3, -3], [-7586297/4194304, -948287/524288]]]], [[
4, 5, 7, 1, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y < -
u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-3, -\
3], [0, 0]]]], [[4, 5, 7, 1, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2
< x,x < 0), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-3, -\
3], [948287/524288, 1896575/1048576]]]], [[4, 5, 7, 1, 5], [v = -1, And(-2^(1/
2) < u,u < -1), And(u^2-2 < x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-3, -3], [3, 3]]]], [[4, 9, 11, 4, 1], [v = -1, 
And(0 < u,u < 1), 1 < x, y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [1/2,
1/2], [2, 2], [-9/4, -9/4], [-2, -2]]]], [[4, 9, 11, 4, 2], [v = -1, And(0 < u
,u < 1), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [2
, 2], [-9/4, -9/4], [-1/2, -1/2]]]], [[4, 9, 11, 4, 3], [v = -1, And(0 < u,u <
1), 1 < x, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/
2], [2, 2], [-9/4, -9/4], [0, 0]]]], [[4, 9, 11, 4, 4], [v = -1, And(0 < u,u <
1), 1 < x, y = -u^2-x, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2],
[-9/4, -9/4], [1/2, 1/2]]]], [[4, 9, 11, 4, 5], [v = -1, And(0 < u,u < 1), 1 <
x, y = -u^2-x, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-9/4, -\
9/4], [2, 2]]]], [[4, 11, 8, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, 
And(u^2-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [0, 0], [-569265/2097152, -569265/2097152], [-2, -2
]]]], [[4, 11, 8, 5, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(u^2-2 < y
,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [0, 0], [-569265/2097152, -569265/2097152], [-273157/524288,
-1092627/2097152]]]], [[4, 11, 8, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), x =
0, And(u^2-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-569265/2097152, -\
569265/2097152], [-1/4194304, -1/4194304]]]], [[4, 11, 8, 5, 4], [v = -1, And(
1 < u,u < 2^(1/2)), x = 0, And(u^2-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-569265
/2097152, -569265/2097152], [546313/1048576, 273157/524288]]]], [[4, 11, 8, 5,
5], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, And(u^2-2 < y,y < 0), (-y)^(1/2) <
z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [-\
569265/2097152, -569265/2097152], [2, 2]]]], [[5, 2, 4, 2, 1], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-1, -1], [-2, -2], [-3, -3]]]], [[5, 2, 4, 2, 2], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[5, 2, 4, 2, 3], [And(-1 < v,v < 0), u = -(v^2
+2)^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-3/2, -3/2], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[5
, 2, 4, 2, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y = -2, z = 3^(
1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [-2, -2], [
908093/524288, 1816187/1048576]]]], [[5, 2, 4, 2, 5], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
-3/2, -3/2], [-1, -1], [-2, -2], [3, 3]]]], [[5, 3, 8, 7, 1], [And(-1 < v,v <
0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 0 < y, z = z],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
524288, 486043/1048576], [1, 1], [0, 0]]]], [[5, 12, 1, 4, 1], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1/2
, -1/2], [3/2, 3/2], [-4, -4], [1, 1], [-3, -3]]]], [[5, 12, 1, 4, 2], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain
, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[5, 12, 1, 4, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3,
y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[5, 12, 1, 4, 4], [And(-\
1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [1, 1], [908093/524288, 
1816187/1048576]]]], [[5, 12, 1, 4, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4
, -4], [1, 1], [3, 3]]]], [[5, 13, 5, 9, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2)
< u, And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2]
, [3, 3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[6, 6, 1, 6, 1], [v = 0, u = 0,
x < -1, y = -x, z < 0], [regular_chain, [[0, 0], [0, 0], [-2, -2], [2, 2], [-1
, -1]]]], [[6, 6, 1, 6, 2], [v = 0, u = 0, x < -1, y = -x, z = 0], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [2, 2], [0, 0]]]], [[6, 6, 1, 6, 3],
[v = 0, u = 0, x < -1, y = -x, 0 < z], [regular_chain, [[0, 0], [0, 0], [-2, -\
2], [2, 2], [1, 1]]]], [[6, 7, 9, 9, 1], [v = 0, And(0 < u,u < 1), And(0 < x,x
< 1), 0 < y, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [1, 1],
[0, 0]]]], [[6, 11, 10, 5, 1], [v = 0, 2^(1/2) < u, x = u^2-1, And(-u^2+1 < y,
y < 0), z = z], [regular_chain, [[0, 0], [3, 3], [8, 8], [-4, -4], [0, 0]]]],
[[7, 2, 2, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y < 0, z < -(
3-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [-1, -1], [-\
3, -3]]]], [[7, 2, 2, 1, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y
< 0, z = -(3-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [
-1, -1], [-2, -2]]]], [[7, 2, 2, 1, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1/2,
1/2], [-3/2, -3/2], [-3, -3], [-1, -1], [0, 0]]]], [[7, 2, 2, 1, 4], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-3/2, -3/2], [-3, -3], [-1, -1], [2, 2]]]], [[7, 2, 2, 1, 5], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [-1, -1], [3, 3]]]], [[7,
8, 4, 2, 1], [And(0 < v,v < 1), u = v, x = 0, y = -1, z < -1], [regular_chain,
[[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [-2, -2]]]], [[7, 8, 4, 2, 2], [And
(0 < v,v < 1), u = v, x = 0, y = -1, z = -1], [regular_chain, [[1/2, 1/2], [1/
2, 1/2], [0, 0], [-1, -1], [-1, -1]]]], [[7, 8, 4, 2, 3], [And(0 < v,v < 1), u
= v, x = 0, y = -1, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [1/2, 1/2
], [0, 0], [-1, -1], [0, 0]]]], [[7, 8, 4, 2, 4], [And(0 < v,v < 1), u = v, x
= 0, y = -1, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1]
, [1, 1]]]], [[7, 8, 4, 2, 5], [And(0 < v,v < 1), u = v, x = 0, y = -1, 1 < z]
, [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1, -1], [2, 2]]]], [[7, 9
, 11, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, z
< 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2],
[-2, -2], [-1, -1]]]], [[7, 9, 11, 6, 2], [And(0 < v,v < 1), And(v < u,u < (v^
2+1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [-2, -2], [0, 0]]]], [[7, 9, 11, 6, 3], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-2, -\
2], [1, 1]]]], [[7, 10, 7, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0
< x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]],
[[7, 10, 7, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And
(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[7, 10, 7, 3,
3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[7, 10,
7, 3, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[7, 10, 7, 3, 5], [And(0
< v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1/
2, 1/2], [-3/2, -3/2], [2, 2]]]], [[7, 11, 11, 8, 1], [And(0 < v,v < 1), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [2, 2], [0, 0], [0, 0]]]], [[8, 4, 7
, 7, 1], [v = 1, u = -2^(1/2), And(0 < x,x < 1), 0 < y, z = z], [regular_chain
, [[1, 1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [0, 0]]]],
[[8, 6, 1, 3, 1], [v = 1, u = -1, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/
2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[8
, 6, 1, 3, 2], [v = 1, u = -1, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1, -1], [-2, -2], [1/2, 1/2], [-1284239/1048576,
-642119/524288]]]], [[8, 6, 1, 3, 3], [v = 1, u = -1, x < -1, And(0 < y,y < -1
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1, -\
1], [-2, -2], [1/2, 1/2], [0, 0]]]], [[8, 6, 1, 3, 4], [v = 1, u = -1, x < -1,
And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2
, -2], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[8, 6, 1, 3, 5], [v =
1, u = -1, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[1
, 1], [-1, -1], [-2, -2], [1/2, 1/2], [3, 3]]]], [[8, 10, 7, 4, 1], [v = 1, u
= 1, 1 < x, y = -x, z < 0], [regular_chain, [[1, 1], [1, 1], [2, 2], [-2, -2],
[-1, -1]]]], [[8, 10, 7, 4, 2], [v = 1, u = 1, 1 < x, y = -x, z = 0], [
regular_chain, [[1, 1], [1, 1], [2, 2], [-2, -2], [0, 0]]]], [[8, 10, 7, 4, 3]
, [v = 1, u = 1, 1 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [1, 1], [2, 2
], [-2, -2], [1, 1]]]], [[8, 12, 3, 2, 1], [v = 1, u = 2^(1/2), And(-2 < x,x <
-1), y = -x-2, z < -2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911
/1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[8, 12, 3, 2, 2], [v = 1,
u = 2^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1,
1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[8, 12, 3, 2, 3], [v = 1, u = 2^(1/2), And(-2 <
x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[8,
12, 3, 2, 4], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/2
, -1/2], [741455/524288, 1482911/1048576]]]], [[8, 12, 3, 2, 5], [v = 1, u = 2
^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[9, 3
, 1, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [
-1, -1], [-4, -4]]]], [[9, 3, 1, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [
[9, 3, 1, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-1, -1], [0, 0]]]], [[9, 3, 1, 1, 4], [And(1 < v
,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y <
0, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [-1, -1], [2344687/1048576, 
146543/65536]]]], [[9, 3, 1, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-1, -1], [4, 4]]]], [[9, 4, 3, 6, 1], [And(1 < v
,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[9, 4, 3, 6, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[9, 4, 3, 6, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[9, 12, 6, 6, 1], [And(1 < v,v
< 2^(1/2)), u = v, x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [0, 0]]]
], [[9, 14, 2, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y =
0, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-2, -2], [0, 0], [-3, -3]]]], [[9, 14, 2, 2,
2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[9, 14, 2,
2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y = 0, And(-2^(1/2)
< z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-2, -2], [0, 0], [0, 0]]]], [[9, 14, 2, 2, 4
], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[9, 14, 2, 2,
5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [0, 0], [3, 3]]]], [[10, 2, 9, 5, 1], [v = 2^(1/2), u = -2,
1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [-3/2, -3/2], [0, 0]]]], [[10, 4, 3, 1, 1], [v = 2
^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[10, 4, 3, 1, 2], [v = 2^(1/2)
, u = -3^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[10,
4, 3, 1, 3], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-2, -2], [0, 0]
]]], [[10, 4, 3, 1, 4], [v = 2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y < -x
-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-2, -2], [980853/524288, 
1961707/1048576]]]], [[10, 4, 3, 1, 5], [v = 2^(1/2), u = -3^(1/2), And(-2 < x
,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-2, -2]
, [3, 3]]]], [[10, 8, 8, 7, 1], [v = 2^(1/2), u = -1, x = 1, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [1, 1], [1, 1], [0
, 0]]]], [[10, 10, 2, 1, 1], [v = 2^(1/2), u = 0, x = -3, y < 0, z < -(3-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [-1
, -1], [-3, -3]]]], [[10, 10, 2, 1, 2], [v = 2^(1/2), u = 0, x = -3, y < 0, z
= -(3-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-\
3, -3], [-1, -1], [-2, -2]]]], [[10, 10, 2, 1, 3], [v = 2^(1/2), u = 0, x = -3
, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-3, -3], [-1, -1], [0, 0]]]], [[10, 10, 2,
1, 4], [v = 2^(1/2), u = 0, x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [-1, -1], [2, 2]]]], [[10,
10, 2, 1, 5], [v = 2^(1/2), u = 0, x = -3, y < 0, (3-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [-1, -1],
[3, 3]]]], [[10, 16, 5, 1, 1], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y
< -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[10, 
16, 5, 1, 2], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]
], [[10, 16, 5, 1, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y < -x-2,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3, -3], [0
, 0]]]], [[10, 16, 5, 1, 4], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y <
-x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 
1961707/1048576]]]], [[10, 16, 5, 1, 5], [v = 2^(1/2), u = 3^(1/2), And(-1 < x
,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]]
, [[10, 17, 10, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(-u^2 <
y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [1, 1], [-4699771/2097152, -\
4699771/2097152], [-3, -3]]]], [[10, 17, 10, 3, 2], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1],
[-4699771/2097152, -4699771/2097152], [-4563/4096, -1168127/1048576]]]], [[10,
17, 10, 3, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(-u^2 < y,y < -\
1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [-4699771/
2097152, -4699771/2097152], [0, 0]]]], [[10, 17, 10, 3, 4], [v = 2^(1/2), And(
3^(1/2) < u,u < 2), x = 1, And(-u^2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [1, 1], [-4699771/2097152, -4699771/2097152], [1168127/1048576, 4563
/4096]]]], [[10, 17, 10, 3, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, 
And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [-4699771/
2097152, -4699771/2097152], [3, 3]]]], [[10, 18, 4, 6, 1], [v = 2^(1/2), u = 2
, x = -1, y = 1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [2
, 2], [-1, -1], [1, 1], [-1, -1]]]], [[10, 18, 4, 6, 2], [v = 2^(1/2), u = 2,
x = -1, y = 1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [2,
2], [-1, -1], [1, 1], [0, 0]]]], [[10, 18, 4, 6, 3], [v = 2^(1/2), u = 2, x =
-1, y = 1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[-1, -1], [1, 1], [1, 1]]]], [[10, 19, 8, 7, 1], [v = 2^(1/2), 2 < u, x = 1, 
And(0 < y,y < u^2-4), z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [3, 3], [1, 1], [5/2, 5/2], [0, 0]]]], [[11, 6, 6, 2, 1], [2^(1/2) < v, u =
-v, x = 1, y = -2, z < -1], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-2, -2
], [-2, -2]]]], [[11, 6, 6, 2, 2], [2^(1/2) < v, u = -v, x = 1, y = -2, z = -1
], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-2, -2], [-1, -1]]]], [[11, 6,
6, 2, 3], [2^(1/2) < v, u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [-2, -2], [0, 0]]]], [[11, 6, 6, 2,
4], [2^(1/2) < v, u = -v, x = 1, y = -2, z = 1], [regular_chain, [[3, 3], [-3,
-3], [1, 1], [-2, -2], [1, 1]]]], [[11, 6, 6, 2, 5], [2^(1/2) < v, u = -v, x =
1, y = -2, 1 < z], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-2, -2], [2, 2]
]]], [[11, 8, 1, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [2, 2], [-2, -2]]]], [[11, 8, 1, 5, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [2, 2
], [-1, -1]]]], [[11, 8, 1, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, 
And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [2, 2], [0, 0]]]],
[[11, 8, 1, 5, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [2, 2], [1, 1]]]], [[11, 8, 1, 5, 5], [2^(1/2) < v, u = -(
v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [2, 2], [2, 2]]]], [
[11, 12, 2, 7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -3, 4 < y, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-3, -3], [5, 5], [0, 0
]]]], [[11, 13, 7, 1, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2
)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [-4, -4], [-3, -3]]]], [[11, 13, 7, 1, 2], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-\
1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [-4, -4], [-16235433/8388608, -\
2029429/1048576]]]], [[11, 13, 7, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [-4, -4], [0, 0]]]], [[11, 13, 7, 1,
4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2
+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [133259/524288, 133259/524288], [-4, -4], [2029429/
1048576, 1014715/524288]]]], [[11, 13, 7, 1, 5], [2^(1/2) < v, And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259
/524288, 133259/524288], [-4, -4], [3, 3]]]], [[11, 19, 10, 7, 1], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0),
z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [
-1061063/4194304, -1061063/4194304], [0, 0]]]], [[11, 21, 3, 8, 1], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [24, 24], [0, 0]]]], [[1, 4, 7, 5, 1
], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z =
z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2],
[-1/4, -1/4], [0, 0]]]], [[1, 6, 1, 5, 1], [v < -2^(1/2), u = v, x < -1, And(-\
1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2,
-2], [3/2, 3/2], [-2, -2]]]], [[1, 6, 1, 5, 2], [v < -2^(1/2), u = v, x < -1,
And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3],
[-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[1, 6, 1, 5, 3]
, [v < -2^(1/2), u = v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [3/2, 3/2], [
0, 0]]]], [[1, 6, 1, 5, 4], [v < -2^(1/2), u = v, x < -1, And(-1-x < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [3/2, 3/2]
, [741455/1048576, 46341/65536]]]], [[1, 6, 1, 5, 5], [v < -2^(1/2), u = v, x
< -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3,
-3], [-2, -2], [3/2, 3/2], [2, 2]]]], [[1, 12, 3, 2, 1], [v < -2^(1/2), u = (v
^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-3
, -3], [2774271/1048576, 10837/4096], [-2, -2], [-1, -1], [-3, -3]]]], [[1, 12
, 3, 2, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z
= -3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2
], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[1, 12, 3, 2, 3], [v <
-2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z
< 3^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2
], [-1, -1], [-1/4194304, -1/4194304]]]], [[1, 12, 3, 2, 4], [v < -2^(1/2), u
= (v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [
[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[1, 12, 3, 2, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), And(
-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-2, -2], [-1, -1], [3, 3]]]], [[1, 13, 7, 7, 1], [v < -
2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1),
And(0 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [133259/524288, 133259/524288], [133259/1048576, 
133259/1048576], [0, 0]]]], [[1, 17, 11, 8, 1], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [2, 2], [0, 0], [0, 0]]]], [[1, 19, 7, 4, 1], [v < -2^
(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y =
-x, z < 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/524288, 129511/524288], [-129511/524288, -129511/524288], [-1, -1]]]],
[[1, 19, 7, 4, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(0 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [129511/524288, 129511/524288], [-129511/524288, -\
129511/524288], [0, 0]]]], [[1, 19, 7, 4, 3], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288,
129511/524288], [-129511/524288, -129511/524288], [1, 1]]]], [[2, 4, 1, 3, 1],
[v = -2^(1/2), u = -3^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[2, 4, 1, 3, 2], [v = -2
^(1/2), u = -3^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]],
[[2, 4, 1, 3, 3], [v = -2^(1/2), u = -3^(1/2), x < -2, And(0 < y,y < -x-2), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [1/2, 1/2], [
0, 0]]]], [[2, 4, 1, 3, 4], [v = -2^(1/2), u = -3^(1/2), x < -2, And(0 < y,y <
-x-2), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1816187/1048576, -3632373/2097152], [-3, -3], [1/2, 1/2], [207243/131072, 
1657945/1048576]]]], [[2, 4, 1, 3, 5], [v = -2^(1/2), u = -3^(1/2), x < -2, 
And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [1/2, 1/2], [3
, 3]]]], [[2, 5, 7, 8, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 <
x,x < 0), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [
34423/131072, 275385/1048576], [-1, -1]]]], [[2, 5, 7, 8, 2], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = -x, z = 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [34423/131072, 275385/1048576], [0, 0]]]],
[[2, 5, 7, 8, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0)
, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [
34423/131072, 275385/1048576], [1, 1]]]], [[2, 6, 1, 6, 1], [v = -2^(1/2), u =
v, x < -1, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-1, -1]]]], [[2, 6, 1
, 6, 2], [v = -2^(1/2), u = v, x < -1, y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-2, -2]
, [2, 2], [0, 0]]]], [[2, 6, 1, 6, 3], [v = -2^(1/2), u = v, x < -1, y = -x, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [-2, -2], [2, 2], [1, 1]]]], [[2, 7, 9, 9, 1], [v = -2^(1/2),
And(v < u,u < -1), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
1, 1], [0, 0]]]], [[2, 13, 9, 8, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 <
x,x < 1), y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 15, 6,
7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, -u^2+3 < y, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-1101541/2097152, -275385/524288], [2, 2], [0, 0]]]], [[2, 19, 7,
5, 1], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [-1/4,
-1/4], [0, 0]]]], [[3, 1, 9, 8, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1
/2), And(1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/
2097152], [363259/131072, 2906073/1048576], [0, 0]]]], [[3, 7, 11, 5, 1], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2322337/1048576, -\
2322337/1048576], [-2, -2]]]], [[3, 7, 11, 5, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-2322337/1048576, -2322337/1048576], [-\
242963/524288, -485925/1048576]]]], [[3, 7, 11, 5, 3], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2322337/
1048576, -2322337/1048576], [0, 0]]]], [[3, 7, 11, 5, 4], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [-2322337/1048576, -2322337/
1048576], [485925/1048576, 242963/524288]]]], [[3, 7, 11, 5, 5], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [2, 2], [-2322337/1048576, -2322337/
1048576], [2, 2]]]], [[3, 9, 7, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0],
[239655/1048576, 239655/1048576], [-4, -4], [-3, -3]]]], [[3, 9, 7, 1, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x
,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576, 239655/1048576],
[-4, -4], [-32581713/16777216, -2036357/1048576]]]], [[3, 9, 7, 1, 3], [And(-2
^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -
u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [239655/1048576,
239655/1048576], [-4, -4], [0, 0]]]], [[3, 9, 7, 1, 4], [And(-2^(1/2) < v,v <
-1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y <
u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [-4, -4], [2036357/1048576
, 1018179/524288]]]], [[3, 9, 7, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1
)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-
x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0]
, [239655/1048576, 239655/1048576], [-4, -4], [3, 3]]]], [[3, 17, 7, 1, 1], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-\
1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [1/2, 1/2], [-11, -11], [-5, -5]]]], [[3, 17, 7, 1, 2], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2,
1/2], [-11, -11], [-3397775/1048576, -1698887/524288]]]], [[3, 17, 7, 1, 3], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-\
1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-11, -11], [0, 0]]]], [[3, 17
, 7, 1, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y
< -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [1/2, 1/2], [-11, -11], [1698887/524288, 3397775/
1048576]]]], [[3, 17, 7, 1, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [-11, -11], [5, 5]]]],
[[4, 1, 9, 4, 1], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -x, z < 0],
[regular_chain, [[-1, -1], [-3, -3], [4, 4], [-4, -4], [-1, -1]]]], [[4, 1, 9,
4, 2], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -x, z = 0], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-4, -4], [0, 0]]]], [[4, 1, 9, 4,
3], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -x, 0 < z], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-4, -4], [1, 1]]]], [[4, 7, 10, 8
, 1], [v = -1, And(-1 < u,u < 0), x = 1, y = 0, z = z], [regular_chain, [[-1,
-1], [-1/2, -1/2], [1, 1], [0, 0], [0, 0]]]], [[4, 9, 6, 2, 1], [v = -1, And(0
< u,u < 1), x = -u^2, y = 2*u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1/4, -1/4], [-3/2, -3/2], [-3, -3]]]], [[4, 9, 6, 2, 2], [v
= -1, And(0 < u,u < 1), x = -u^2, y = 2*u^2-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3/2, -3/2], [-10837/8192
, -1387135/1048576]]]], [[4, 9, 6, 2, 3], [v = -1, And(0 < u,u < 1), x = -u^2,
y = 2*u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-\
1, -1], [1/2, 1/2], [-1/4, -1/4], [-3/2, -3/2], [0, 0]]]], [[4, 9, 6, 2, 4], [
v = -1, And(0 < u,u < 1), x = -u^2, y = 2*u^2-2, z = (-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3/2, -3/2], [1387135/
1048576, 10837/8192]]]], [[4, 9, 6, 2, 5], [v = -1, And(0 < u,u < 1), x = -u^2
, y = 2*u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1
/4, -1/4], [-3/2, -3/2], [3, 3]]]], [[4, 13, 10, 7, 1], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), x = 1, And(u^2-3 < y,y < 0), z = z], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [1, 1], [-275385/1048576, -275385/
1048576], [0, 0]]]], [[4, 15, 4, 3, 1], [v = -1, 3^(1/2) < u, x = -1, And(-u^2
+1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1],
[-4, -4], [-4, -4]]]], [[4, 15, 4, 3, 2], [v = -1, 3^(1/2) < u, x = -1, And(-u
^2+1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1
], [-4, -4], [-146543/65536, -2344687/1048576]]]], [[4, 15, 4, 3, 3], [v = -1,
3^(1/2) < u, x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [-4, -4], [0, 0]]]], [[4, 
15, 4, 3, 4], [v = -1, 3^(1/2) < u, x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(
1/2)], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [-4, -4], [2344687/1048576
, 146543/65536]]]], [[4, 15, 4, 3, 5], [v = -1, 3^(1/2) < u, x = -1, And(-u^2+
1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [
-4, -4], [4, 4]]]], [[5, 5, 10, 9, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = 1, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [1, 1], [0, 0]]]], [[5, 7, 8, 1, 1], [And(
-1 < v,v < 0), And(v < u,u < -v), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3, -3], [-3, -3]]]], [[5, 7, 8
, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y < u^2-v^2-1, z = -(-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[5, 7, 8, 1, 3], [And(-1 < v,v < 0), And(v < u
,u < -v), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[5, 7, 8, 1, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y
< u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [
-3, -3], [908093/524288, 1816187/1048576]]]], [[5, 7, 8, 1, 5], [And(-1 < v,v
< 0), And(v < u,u < -v), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [0, 0], [0, 0], [-3, -3], [3, 3]]]], [[5, 8, 2, 3, 1], [And(-\
1 < v,v < 0), u = -v, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [
[5, 8, 2, 3, 2], [And(-1 < v,v < 0), u = -v, x = -1, And(0 < y,y < 1), z = -(1
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1/2, 1/2], [
-1482911/2097152, -741455/1048576]]]], [[5, 8, 2, 3, 3], [And(-1 < v,v < 0), u
= -v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1/2, 1/2], [0, 0]]]], [[5
, 8, 2, 3, 4], [And(-1 < v,v < 0), u = -v, x = -1, And(0 < y,y < 1), z = (1-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[5, 8, 2, 3, 5], [And(-1 < v,v < 0), u = -v,
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/
2, 1/2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[5, 9, 10, 4, 1], [And(-1 < v,v < 0
), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1],
[-1672995/1048576, -3345989/2097152], [-2, -2]]]], [[5, 9, 10, 4, 2], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [1, 1], [-1672995/1048576, -3345989/2097152], [-1618333/2097152, -3236665/
4194304]]]], [[5, 9, 10, 4, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/
2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1],
[-1672995/1048576, -3345989/2097152], [-1/8388608, -1/8388608]]]], [[5, 9, 10,
4, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2
, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-1672995/1048576, -3345989/2097152], [404583/524288
, 809167/1048576]]]], [[5, 9, 10, 4, 5], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-1672995/1048576, -\
3345989/2097152], [2, 2]]]], [[6, 2, 5, 8, 1], [v = 0, u = -2^(1/2), And(-1 <
x,x < 0), y = 1-x, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[6, 3, 10, 6, 1], [v = 0, And(
-2^(1/2) < u,u < -1), x = 1, y = u^2-2, z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-1138531/2097152, -569265/1048576
], [0, 0]]]], [[6, 8, 4, 6, 1], [v = 0, u = 1, x = -1, y = 1, z < 0], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [1, 1], [-1, -1]]]], [[6, 8, 4, 6, 2
], [v = 0, u = 1, x = -1, y = 1, z = 0], [regular_chain, [[0, 0], [1, 1], [-1,
-1], [1, 1], [0, 0]]]], [[6, 8, 4, 6, 3], [v = 0, u = 1, x = -1, y = 1, 0 < z]
, [regular_chain, [[0, 0], [1, 1], [-1, -1], [1, 1], [1, 1]]]], [[6, 9, 10, 5,
1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, And(-1 < y,y < u^2-2), z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-3235683/
4194304, -3235683/4194304], [0, 0]]]], [[7, 4, 5, 1, 1], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[-3, -3], [-3, -3]]]], [[7, 4, 5, 1, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-146543/131072, -1172343/1048576], [-1/2, -1/2], [-3, -3], [-7846825/
4194304, -980853/524288]]]], [[7, 4, 5, 1, 3], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[-3, -3], [0, 0]]]], [[7, 4, 5, 1, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
-146543/131072, -1172343/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 
1961707/1048576]]]], [[7, 4, 5, 1, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
-146543/131072, -1172343/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[7, 5,
10, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-1 <
y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 1, 1, 5, 1], [v = 1, u < -3^(1
/2), x < -u^2, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [-3, -3], [-10, -10], [11/2, 11/2], [-4, -4]]]], [[8, 1, 1, 5, 2], [v =
1, u < -3^(1/2), x < -u^2, And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [11/2, 11/2], [-1112183/524288,
-2224365/1048576]]]], [[8, 1, 1, 5, 3], [v = 1, u < -3^(1/2), x < -u^2, And(-u
^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1, 1], [-3, -3], [-10, -10], [11/2, 11/2], [0, 0]]]], [[8, 1, 1, 5, 4], [v = 1
, u < -3^(1/2), x < -u^2, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [11/2, 11/2], [2224365/1048576,
1112183/524288]]]], [[8, 1, 1, 5, 5], [v = 1, u < -3^(1/2), x < -u^2, And(-u^2
-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-10, -\
10], [11/2, 11/2], [4, 4]]]], [[8, 2, 3, 6, 1], [v = 1, u = -3^(1/2), And(-3 <
x,x < -1), y = -x, z < 0], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [2, 2], [-1, -1]]]], [[8, 2, 3, 6, 2], [v = 1, u =
-3^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [0, 0]]]], [[8, 2, 3, 6,
3], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [1, 1]]]], [[
8, 8, 7, 1, 1], [v = 1, u = 0, And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[8, 8, 7,
1, 2], [v = 1, u = 0, And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [-4, -4], [-7846825/4194304, -\
980853/524288]]]], [[8, 8, 7, 1, 3], [v = 1, u = 0, And(0 < x,x < 1), y < -x-2
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [0, 0], [
1/2, 1/2], [-4, -4], [0, 0]]]], [[8, 8, 7, 1, 4], [v = 1, u = 0, And(0 < x,x <
1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2],
[-4, -4], [980853/524288, 1961707/1048576]]]], [[8, 8, 7, 1, 5], [v = 1, u = 0
, And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [0,
0], [1/2, 1/2], [-4, -4], [3, 3]]]], [[8, 9, 11, 6, 1], [v = 1, And(0 < u,u <
1), 1 < x, y = -x, z < 0], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-2, -\
2], [-1, -1]]]], [[8, 9, 11, 6, 2], [v = 1, And(0 < u,u < 1), 1 < x, y = -x, z
= 0], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-2, -2], [0, 0]]]], [[8, 9
, 11, 6, 3], [v = 1, And(0 < u,u < 1), 1 < x, y = -x, 0 < z], [regular_chain,
[[1, 1], [1/2, 1/2], [2, 2], [-2, -2], [1, 1]]]], [[8, 14, 5, 2, 1], [v = 1, u
= 3^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain, [[1, 1]
, [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [
[8, 14, 5, 2, 2], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/
2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2],
[-5/2, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[8, 14, 5, 2, 3], [v =
1, u = 3^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/2,
-5/2], [-1/4194304, -1/4194304]]]], [[8, 14, 5, 2, 4], [v = 1, u = 3^(1/2), 
And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/
1048576]]]], [[8, 14, 5, 2, 5], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y = -x
-3, 3^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [
-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[8, 15, 9, 3, 1], [v = 1, 3^(1/2) < u,
And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [4, 4], [-17/2, -17/2], [-4, -4]]]], [[8, 15,
9, 3, 2], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [4, 4], [-17/2, -17/2], [-\
1112183/524288, -2224365/1048576]]]], [[8, 15, 9, 3, 3], [v = 1, 3^(1/2) < u,
And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1, 1], [3, 3], [4, 4], [-17/2, -17/2], [0, 0]]]],
[[8, 15, 9, 3, 4], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(-u^2-x < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [4, 4], [-17/2, -17
/2], [2224365/1048576, 1112183/524288]]]], [[8, 15, 9, 3, 5], [v = 1, 3^(1/2)
< u, And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [4, 4], [-17/2, -17/2], [4, 4]]]], [[9, 6, 7,
2, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[9, 6, 7, 2, 2], [And(1 < v,
v < 2^(1/2)), u = -v, 1 < x, y = -1-x, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3,
-3], [-1, -1]]]], [[9, 6, 7, 2, 3], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y
= -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[9, 6,
7, 2, 4], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3, -3], [1, 1]]]], [[9, 6, 7, 2, 5], [And(1 < v,v
< 2^(1/2)), u = -v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [2
, 2]]]], [[9, 8, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2
, 2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [3, 3], [0, 0]]]], [[9, 8, 9, 5, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < 0), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-1, -1], [0, 0]]]], [[9, 10, 3, 3, 1], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[9, 10, 3,
3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-\
2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837
/8192, -1387135/1048576]]]], [[9, 10, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469
/524288, 708939/1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[9, 10, 3, 3
, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-1/4, -1/4], [
1387135/1048576, 10837/8192]]]], [[9, 10, 3, 3, 5], [And(1 < v,v < 2^(1/2)), u
= (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[9, 16, 6, 5, 1], [And(1 < v
,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [1/2, 1/2], [0, 0]]]], [[9, 17, 10, 6, 1], [And(1 < v,v < 2^
(1/2)), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288],
[0, 0], [0, 0]]]], [[10, 4, 9, 6, 1], [v = 2^(1/2), u = -3^(1/2), 1 < x, y = 0
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576
, -3632373/2097152], [2, 2], [0, 0], [0, 0]]]], [[10, 6, 3, 4, 1], [v = 2^(1/2
), u = -v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1
/2], [0, 0], [-2, -2]]]], [[10, 6, 3, 4, 2], [v = 2^(1/2), u = -v, And(-1 < x,
x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[10, 6, 3, 4, 3], [v = 2^(1/2), u = -v, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1/2, -1
/2], [0, 0], [0, 0]]]], [[10, 6, 3, 4, 4], [v = 2^(1/2), u = -v, And(-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [741455/1048576,
46341/65536]]]], [[10, 6, 3, 4, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), y
= 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 12, 5
, 7, 1], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [2, 2]
, [0, 0]]]], [[10, 13, 10, 9, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, 0 < y
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [1, 1], [1, 1], [0, 0]]]], [[11, 2, 7, 4, 1], [2^(1/2) < v,
u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[
11, 2, 7, 4, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z
= 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2]
, [-1/2, -1/2], [0, 0]]]], [[11, 2, 7, 4, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2)
, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [-1738867/524288,
-3477733/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 3, 11, 5, 1], [2
^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-x < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [2, 2], [-919065/524288, -919065/524288], [0, 0]]]], [[11, 10, 4, 2,
1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y = -2, z < -3^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-2, -\
2], [-3, -3]]]], [[11, 10, 4, 2, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1,
y = -2, z = -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[11, 
10, 4, 2, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y = -2, And(-3^(1/2) <
z,z < 3^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576]
, [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[11, 10, 4, 2, 4], [2^(1/2
) < v, u = -(v^2-2)^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-2, -2], [908093/524288,
1816187/1048576]]]], [[11, 10, 4, 2, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
-1, y = -2, 3^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271
/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[11, 11, 8, 3, 1], [2^(1/2) < v, 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z
< -(-y-1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1, 1], [-6, -6], [-4, -4]]
]], [[11, 11, 8, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3,
3], [0, 0], [1, 1], [-6, -6], [-146543/65536, -2344687/1048576]]]], [[11, 11,
8, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, And(
u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [1, 1], [-6, -6], [0, 0]]]], [[11, 11, 8, 3, 4
], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, And(u^2-v^2
-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1, 1], [-\
6, -6], [2344687/1048576, 146543/65536]]]], [[11, 11, 8, 3, 5], [2^(1/2) < v,
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), (
-y-1)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [1, 1], [-6, -6], [4, 4]]]]
, [[11, 15, 9, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x
< 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 17, 6, 2, 1], [2^
(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-531193/1048576, -1062385/2097152], [-66225059/67108864, -33112529/33554432],
[-3, -3]]]], [[11, 17, 6, 2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-\
66225059/67108864, -33112529/33554432], [-1281417/1048576, -160177/131072]]]],
[[11, 17, 6, 2, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-66225059/67108864, -33112529/33554432], [0, 0]]]], [[11, 
17, 6, 2, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -\
2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-531193/1048576, -1062385/2097152], [-66225059/67108864, -\
33112529/33554432], [160177/131072, 1281417/1048576]]]], [[11, 17, 6, 2, 5], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-531193/1048576, -1062385/2097152], [-66225059/67108864, -33112529/33554432],
[3, 3]]]], [[1, 1, 3, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1
< x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-5, -5], [-9, -9], [9/2, 9/2], [-4, -4]]]], [[1, 1, 3, 5, 2], [v < -2^(1/2),
u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [9/2, 9/2], [-1112183/
524288, -2224365/1048576]]]], [[1, 1, 3, 5, 3], [v < -2^(1/2), u < -(v^2+2)^(1
/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [9/2, 9/2], [0,
0]]]], [[1, 1, 3, 5, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x
,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5
, -5], [-9, -9], [9/2, 9/2], [2224365/1048576, 1112183/524288]]]], [[1, 1, 3,
5, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [
9/2, 9/2], [4, 4]]]], [[1, 2, 5, 8, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And
(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[1, 8, 9, 1, 1], [v <
-2^(1/2), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [-5,
-5], [-3, -3]]]], [[1, 8, 9, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x,
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]],
[[1, 8, 9, 1, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576
, -11863283/4194304], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[1, 8, 9
, 1, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [2, 2], [-\
5, -5], [908093/524288, 1816187/1048576]]]], [[1, 8, 9, 1, 5], [v < -2^(1/2),
u = -(v^2-1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [2, 2], [-5, -5], [3, 3]]]], [[1,
10, 2, 6, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -3, y = 4, z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-3, -3], [4,
4], [0, 0]]]], [[1, 14, 1, 6, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x < -2, y
= -x, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3
, -3], [3, 3], [-1, -1]]]], [[1, 14, 1, 6, 2], [v < -2^(1/2), u = (v^2-1)^(1/2
), x < -2, y = -x, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3, -3], [3, 3], [0, 0]]]], [[1, 14, 1, 6, 3], [v < -2^(1/2), u = (
v^2-1)^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-3, -3], [3, 3], [1, 1]]]], [[1, 15, 8, 2, 1], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0,
0], [-3161161/2097152, -395145/262144], [-3, -3]]]], [[1, 15, 8, 2, 2], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0
], [-3161161/2097152, -395145/262144], [-1287385/1048576, -160923/131072]]]],
[[1, 15, 8, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = u^
2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-3161161/2097152, -\
395145/262144], [0, 0]]]], [[1, 15, 8, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-3161161/2097152, -\
395145/262144], [160923/131072, 1287385/1048576]]]], [[1, 15, 8, 2, 5], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/
2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0]
, [-3161161/2097152, -395145/262144], [3, 3]]]], [[1, 21, 9, 4, 1], [v < -2^(1
/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, z < 0], [
regular_chain, [[-3, -3], [5, 5], [8, 8], [-8, -8], [-1, -1]]]], [[1, 21, 9, 4
, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, z =
0], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-8, -8], [0, 0]]]], [[1, 21, 9
, 4, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, 0
< z], [regular_chain, [[-3, -3], [5, 5], [8, 8], [-8, -8], [1, 1]]]], [[2, 1,
11, 9, 1], [v = -2^(1/2), u < -2, u^2-3 < x, 0 < y, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [1, 1], [0, 0]]]], [[2, 
10, 1, 1, 1], [v = -2^(1/2), u = 0, x < -3, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-1, -1]
, [-4, -4]]]], [[2, 10, 1, 1, 2], [v = -2^(1/2), u = 0, x < -3, y < 0, z = -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4,
-4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[2, 10, 1, 1, 3], [v = -
2^(1/2), u = 0, x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [-1, -1]
, [0, 0]]]], [[2, 10, 1, 1, 4], [v = -2^(1/2), u = 0, x < -3, y < 0, z = (-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-4, -4
], [-1, -1], [2344687/1048576, 146543/65536]]]], [[2, 10, 1, 1, 5], [v = -2^(1
/2), u = 0, x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-4, -4], [-1, -1], [4, 4]]]], [[2, 11, 5, 6
, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2],
[1/2, 1/2], [-1, -1]]]], [[2, 11, 5, 6, 2], [v = -2^(1/2), And(0 < u,u < 1), 
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[2, 11, 5, 6, 3],
[v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2],
[1/2, 1/2], [1, 1]]]], [[2, 17, 9, 1, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), And(u^2-3 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [388511/
524288, 388511/524288], [-5, -5], [-4, -4]]]], [[2, 17, 9, 1, 2], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [388511/524288, 388511/524288], [-5, -5], [-270497/131072, -\
2163975/1048576]]]], [[2, 17, 9, 1, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(u^2-3 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339
/2097152], [388511/524288, 388511/524288], [-5, -5], [0, 0]]]], [[2, 17, 9, 1,
4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y < -u^2-x+1,
z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-5, -5], [
2163975/1048576, 270497/131072]]]], [[2, 17, 9, 1, 5], [v = -2^(1/2), And(3^(1
/2) < u,u < 2), And(u^2-3 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-5, -5], [4, 4]]]], [[2, 19, 2, 4,
1], [v = -2^(1/2), 2 < u, x = -u^2+1, y = u^2-1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-8, -8], [8, 8], [-1, -1]]]], [[2,
19, 2, 4, 2], [v = -2^(1/2), 2 < u, x = -u^2+1, y = u^2-1, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [8, 8],
[0, 0]]]], [[2, 19, 2, 4, 3], [v = -2^(1/2), 2 < u, x = -u^2+1, y = u^2-1, 0 <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [8,
8], [1, 1]]]], [[3, 3, 10, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-\
1, -1], [-1, -1]]]], [[3, 3, 10, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [1
, 1], [-1, -1], [0, 0]]]], [[3, 3, 10, 4, 3], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[1, 1], [-1, -1], [1, 1]]]], [[3, 5, 5, 7, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304],
[1/2, 1/2], [-2, -2]]]], [[3, 5, 5, 7, 2], [And(-2^(1/2) < v,v < -1), And(-(v^
2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [1/2
, 1/2], [-270523/524288, -1082091/2097152]]]], [[3, 5, 5, 7, 3], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2
-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-3213831/4194304, -3213831/4194304], [1/2, 1/2], [-1/4194304, -1/4194304]]]],
[[3, 5, 5, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 
And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [1/2, 1/2], [541045/
1048576, 270523/524288]]]], [[3, 5, 5, 7, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [1
/2, 1/2], [2, 2]]]], [[3, 11, 9, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [-3, -3]]]],
[[3, 11, 9, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 
And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2,
1/2], [-2171069/1048576, -542767/262144], [-1314069/1048576, -328517/262144]]]
], [[3, 11, 9, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2
+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [0,
0]]]], [[3, 11, 9, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [328517/262144, 
1314069/1048576]]]], [[3, 11, 9, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [3, 3]]]], [[
3, 13, 6, 1, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [-2, -2], [-3, -3]]]], [[3, 13, 6, 1, 2], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2
*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -\
139585/262144], [-2, -2], [-834339/524288, -3337355/2097152]]]], [[3, 13, 6, 1
, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-2, -2], [-1/4194304, -\
1/4194304]]]], [[3, 13, 6, 1, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v
^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-2, -2], [1668677/
1048576, 834339/524288]]]], [[3, 13, 6, 1, 5], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-2, -2], [3, 3
]]]], [[3, 13, 11, 2, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2]
, [-908991/262144, -3635963/1048576], [-3, -3]]]], [[3, 13, 11, 2, 2], [And(-2
^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [2, 2], [-908991/262144, -3635963/1048576]
, [-1270261/1048576, -317565/262144]]]], [[3, 13, 11, 2, 3], [And(-2^(1/2) < v
,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^
2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-908991/262144,
-3635963/1048576], [0, 0]]]], [[3, 13, 11, 2, 4], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [-908991/262144, -3635963/1048576], [317565/262144,
1270261/1048576]]]], [[3, 13, 11, 2, 5], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [-908991/262144, -3635963/1048576], [3, 3]]]], [[3,
15, 6, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [0, 0], [501965/
2097152, 501965/2097152], [0, 0]]]], [[4, 3, 11, 6, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), 1 < x, y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-799673/524288, -3198691/2097152]
, [0, 0]]]], [[4, 5, 7, 2, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 <
x,x < 0), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [-1243255/1048576, -\
621627/524288], [-3, -3]]]], [[4, 5, 7, 2, 2], [v = -1, And(-2^(1/2) < u,u < -\
1), And(u^2-2 < x,x < 0), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1243255/1048576, -621627/524288], [-1265743/1048576, -1265743/1048576]]]], [[4
, 5, 7, 2, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -u
^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [-1243255/1048576, -\
621627/524288], [0, 0]]]], [[4, 5, 7, 2, 4], [v = -1, And(-2^(1/2) < u,u < -1)
, And(u^2-2 < x,x < 0), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1243255/1048576, -621627/524288], [1265743/1048576, 1265743/1048576]]]], [[4,
5, 7, 2, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -u^2
-x, -u < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-569265/2097152, -569265/2097152], [-1243255/1048576, -621627/524288], [3, 3]
]]], [[4, 9, 11, 3, 1], [v = -1, And(0 < u,u < 1), 1 < x, And(u^2-x-2 < y,y <
-u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-\
3, -3], [-2, -2]]]], [[4, 9, 11, 3, 2], [v = -1, And(0 < u,u < 1), 1 < x, And(
u^2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2,
1/2], [2, 2], [-3, -3], [-1, -1]]]], [[4, 9, 11, 3, 3], [v = -1, And(0 < u,u <
1), 1 < x, And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-3, -3], [0, 0]]]], [[4, 9
, 11, 3, 4], [v = -1, And(0 < u,u < 1), 1 < x, And(u^2-x-2 < y,y < -u^2-x), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-3, -3], [1,
1]]]], [[4, 9, 11, 3, 5], [v = -1, And(0 < u,u < 1), 1 < x, And(u^2-x-2 < y,y
< -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [
-3, -3], [2, 2]]]], [[4, 11, 8, 4, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 0,
y = u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576], [-2, -2]]]], [[
4, 11, 8, 4, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y = u^2-2, z = -(-u^2
+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0,
0], [-1138531/2097152, -569265/1048576], [-772605/1048576, -1545209/2097152]]]
], [[4, 11, 8, 4, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y = u^2-2, And(-
(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576], [-1/
4194304, -1/4194304]]]], [[4, 11, 8, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), x
= 0, y = u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576], [
193151/262144, 772605/1048576]]]], [[4, 11, 8, 4, 5], [v = -1, And(1 < u,u < 2
^(1/2)), x = 0, y = u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576]
, [2, 2]]]], [[5, 2, 4, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1,
And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3
/2], [-1, -1], [-1, -1], [-3, -3]]]], [[5, 2, 4, 3, 2], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [-1, -1], [-1482911/1048576, -741455/
524288]]]], [[5, 2, 4, 3, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1,
And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-3/2, -3/2], [-1, -1], [-1, -1], [0, 0]]]], [[5, 2, 4, 3, 4], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = (1-y)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [-1, -1], [741455
/524288, 1482911/1048576]]]], [[5, 2, 4, 3, 5], [And(-1 < v,v < 0), u = -(v^2+
2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-1, -1], [-1, -1], [3, 3]]]], [[5, 3, 9, 1, 1], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5],
[-4, -4]]]], [[5, 3, 9, 1, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [-5, -5], [-270791/131072, -2166327/1048576]]]], [[
5, 3, 9, 1, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
1534619/2097152, 1534619/2097152], [-5, -5], [0, 0]]]], [[5, 3, 9, 1, 4], [And
(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,
x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5],
[2166327/1048576, 270791/131072]]]], [[5, 3, 9, 1, 5], [And(-1 < v,v < 0), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^
2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5], [4, 4]]]], [[5,
12, 1, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-\
3), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [
1/2, 1/2], [-3, -3]]]], [[5, 12, 1, 3, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/
2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]],
[[5, 12, 1, 3, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x < -3, And(0 < y,y
< -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [0, 0]]]], [[5, 12, 1, 3, 4], [And(-1 <
v,v < 0), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [980853/524288
, 1961707/1048576]]]], [[5, 12, 1, 3, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2
), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [3, 3]]]], [[5, 13, 5, 8, 1], [And(-1 <
v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [33/4, 33/4], [0, 0]]]], [
[6, 6, 1, 7, 1], [v = 0, u = 0, x < -1, -x < y, z = z], [regular_chain, [[0, 0
], [0, 0], [-2, -2], [3, 3], [0, 0]]]], [[6, 7, 10, 1, 1], [v = 0, And(0 < u,u
< 1), x = 1, y < -u^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/
2], [1, 1], [-4, -4], [-3, -3]]]], [[6, 7, 10, 1, 2], [v = 0, And(0 < u,u < 1)
, x = 1, y < -u^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2],
[1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[6, 7, 10, 1, 3],
[v = 0, And(0 < u,u < 1), x = 1, y < -u^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-4, -4], [-1/4194304, -\
1/4194304]]]], [[6, 7, 10, 1, 4], [v = 0, And(0 < u,u < 1), x = 1, y < -u^2-2,
z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[6, 7, 10, 1, 5], [v = 0, And(0 < u,u < 1
), x = 1, y < -u^2-2, (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2],
[1, 1], [-4, -4], [3, 3]]]], [[6, 11, 10, 4, 1], [v = 0, 2^(1/2) < u, x = u^2-\
1, y = -u^2+1, z < 0], [regular_chain, [[0, 0], [3, 3], [8, 8], [-8, -8], [-1,
-1]]]], [[6, 11, 10, 4, 2], [v = 0, 2^(1/2) < u, x = u^2-1, y = -u^2+1, z = 0]
, [regular_chain, [[0, 0], [3, 3], [8, 8], [-8, -8], [0, 0]]]], [[6, 11, 10, 4
, 3], [v = 0, 2^(1/2) < u, x = u^2-1, y = -u^2+1, 0 < z], [regular_chain, [[0,
0], [3, 3], [8, 8], [-8, -8], [1, 1]]]], [[7, 2, 1, 9, 1], [And(0 < v,v < 1),
u = -(v^2+2)^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [-4, -4], [6, 6], [0, 0]]]], [[7, 8, 4, 3, 1], [And(0 < v,v < 1), u
= v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[1/2, 1/2], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[7, 8, 4, 3, 2], [And(0 < v,v
< 1), u = v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [1/2, 1/2], [0, 0], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]
]], [[7, 8, 4, 3, 3], [And(0 < v,v < 1), u = v, x = 0, And(-1 < y,y < 0), And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0,
0], [-1/2, -1/2], [0, 0]]]], [[7, 8, 4, 3, 4], [And(0 < v,v < 1), u = v, x = 0
, And(-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[0, 0], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[7, 8, 4, 3, 5], [And
(0 < v,v < 1), u = v, x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-1/2, -1/2], [2, 2]]]], [[7,
9, 11, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-x <
y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [-1, -1], [0, 0]]]], [[7, 10, 7, 4, 1], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1/2, 1/2]
, [1172343/1048576, 146543/131072], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[7
, 10, 7, 4, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x
, z = 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1/2,
1/2], [-1/2, -1/2], [0, 0]]]], [[7, 10, 7, 4, 3], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[7, 11,
11, 9, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x,
0 < y, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2
, 2], [1, 1], [0, 0]]]], [[8, 4, 7, 6, 1], [v = 1, u = -2^(1/2), And(0 < x,x <
1), y = 0, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288]
, [1/2, 1/2], [0, 0], [0, 0]]]], [[8, 6, 1, 2, 1], [v = 1, u = -1, x < -1, y =
0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0], [-3,
-3]]]], [[8, 6, 1, 2, 2], [v = 1, u = -1, x < -1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0], [-1482911/1048576, -741455
/524288]]]], [[8, 6, 1, 2, 3], [v = 1, u = -1, x < -1, y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0], [0,
0]]]], [[8, 6, 1, 2, 4], [v = 1, u = -1, x < -1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0], [741455/524288, 1482911/
1048576]]]], [[8, 6, 1, 2, 5], [v = 1, u = -1, x < -1, y = 0, (-x)^(1/2) < z],
[regular_chain, [[1, 1], [-1, -1], [-2, -2], [0, 0], [3, 3]]]], [[8, 10, 7, 5,
1], [v = 1, u = 1, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1, 1],
[1, 1], [2, 2], [-1, -1], [0, 0]]]], [[8, 12, 3, 3, 1], [v = 1, u = 2^(1/2), 
And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]
]]], [[8, 12, 3, 3, 2], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[8,
12, 3, 3, 3], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[8, 12, 3, 3
, 4], [v = 1, u = 2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)
^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/
2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[8, 12, 3, 3, 5], [v = 1,
u = 2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/4,
-1/4], [3, 3]]]], [[9, 2, 9, 9, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2
), 1 < x, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3899297/2097152, -7798593/4194304], [2, 2], [1, 1], [0, 0]]]], [[9, 4, 3, 5,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [3/4, 3/4], [-2, -\
2]]]], [[9, 4, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 <
x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [
3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[9, 4, 3, 5, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [3/4, 3/4]
, [-1/8388608, -1/8388608]]]], [[9, 4, 3, 5, 4], [And(1 < v,v < 2^(1/2)), u =
-(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[9, 4
, 3, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), 
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [3/4, 3/4]
, [2, 2]]]], [[9, 12, 6, 7, 1], [And(1 < v,v < 2^(1/2)), u = v, x = 1, 0 < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576,
1265743/1048576], [1, 1], [1, 1], [0, 0]]]], [[9, 14, 2, 3, 1], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [1, 1], [-2, -2]]]], [[9, 14, 2, 3, 2], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [1, 1], [-1, -1]]]], [[9, 14, 2, 3, 3], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2
-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-2, -2], [1, 1], [0, 0]]]], [[9, 14, 2, 3, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-2, -2], [1, 1], [1, 1]]]], [[9, 14, 2, 3, 5], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [1, 1], [2, 2]]]], [[10, 2, 9, 4, 1], [v = 2^(1/2), u = -2,
1 < x, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [2, 2], [-2, -2], [-1, -1]]]], [[10, 2, 9, 4, 2], [v = 2^(1/2), u = -2, 1
< x, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -\
2], [2, 2], [-2, -2], [0, 0]]]], [[10, 2, 9, 4, 3], [v = 2^(1/2), u = -2, 1 <
x, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2]
, [2, 2], [-2, -2], [1, 1]]]], [[10, 4, 2, 5, 1], [v = 2^(1/2), u = -3^(1/2),
x = -2, 2 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [3, 3], [0, 0]]]], [[10, 8, 9, 1
, 1], [v = 2^(1/2), u = -1, 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-5, -5],
[-3, -3]]]], [[10, 8, 9, 1, 2], [v = 2^(1/2), u = -1, 1 < x, y < -x-2, z = -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2,
2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[10, 8, 9, 1, 3], [v =
2^(1/2), u = -1, 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-5, -5],
[-1/4194304, -1/4194304]]]], [[10, 8, 9, 1, 4], [v = 2^(1/2), u = -1, 1 < x, y
< -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[10, 8, 9, 1
, 5], [v = 2^(1/2), u = -1, 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [-5, -5], [3, 3]]]], [[
10, 10, 2, 2, 1], [v = 2^(1/2), u = 0, x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [0, 0], [-\
3, -3]]]], [[10, 10, 2, 2, 2], [v = 2^(1/2), u = 0, x = -3, y = 0, z = -3^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [0, 0
], [-1816187/1048576, -3632373/2097152]]]], [[10, 10, 2, 2, 3], [v = 2^(1/2),
u = 0, x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]
]], [[10, 10, 2, 2, 4], [v = 2^(1/2), u = 0, x = -3, y = 0, z = 3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[10, 10, 2, 2, 5], [v = 2^(1/2), u = 0, x
= -3, y = 0, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [-3, -3], [0, 0], [3, 3]]]], [[10, 16, 4, 7, 1], [v = 2^(1/2), u = 3^(
1/2), x = -1, 1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [908093/524288, 1816187/1048576], [-1, -1], [2, 2], [0, 0]]]], [[10, 17, 10,
2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -u^2, z < -(u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-3, -3]]]], [[
10, 17, 10, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -u^2, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-\
825991/524288, -3303963/2097152]]]], [[10, 17, 10, 2, 3], [v = 2^(1/2), And(3^
(1/2) < u,u < 2), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [1, 1], [-912799/262144, -3651195/1048576], [-1/4194304, -1/4194304]
]]], [[10, 17, 10, 2, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -u^
2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576],
[1651981/1048576, 825991/524288]]]], [[10, 17, 10, 2, 5], [v = 2^(1/2), And(3^
(1/2) < u,u < 2), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [
-912799/262144, -3651195/1048576], [3, 3]]]], [[10, 18, 4, 5, 1], [v = 2^(1/2)
, u = 2, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [2, 2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 18
, 4, 5, 2], [v = 2^(1/2), u = 2, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [1/2, 1/2
], [-1482911/2097152, -741455/1048576]]]], [[10, 18, 4, 5, 3], [v = 2^(1/2), u
= 2, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [1/2, 1/2]
, [0, 0]]]], [[10, 18, 4, 5, 4], [v = 2^(1/2), u = 2, x = -1, And(0 < y,y < 1)
, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[10, 18, 4, 5, 5], [v
= 2^(1/2), u = 2, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[
10, 19, 8, 6, 1], [v = 2^(1/2), 2 < u, x = 1, y = 0, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [1, 1], [0, 0], [0, 0]]]], [[11, 6,
6, 3, 1], [2^(1/2) < v, u = -v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[3, 3], [-3, -3], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[11, 6,
6, 3, 2], [2^(1/2) < v, u = -v, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[3, 3], [-3, -3], [1, 1], [-3/2, -3/2], [-1482911/2097152, -\
741455/1048576]]]], [[11, 6, 6, 3, 3], [2^(1/2) < v, u = -v, x = 1, And(-2 < y
,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [
-3, -3], [1, 1], [-3/2, -3/2], [0, 0]]]], [[11, 6, 6, 3, 4], [2^(1/2) < v, u =
-v, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-3
, -3], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[11, 6, 6, 3,
5], [2^(1/2) < v, u = -v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [-3/2, -3/2], [2, 2]]]], [[11, 8, 1,
6, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y = -x, z < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-3, -3], [3, 3
], [-1, -1]]]], [[11, 8, 1, 6, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x < -2, y
= -x, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304],
[-3, -3], [3, 3], [0, 0]]]], [[11, 8, 1, 6, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), x < -2, y = -x, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [3, 3], [1, 1]]]], [[11, 12, 2, 6, 1], [2^(1/2) <
v, u = (v^2-2)^(1/2), x = -3, y = 4, z = z], [regular_chain, [[3, 3], [2774271
/1048576, 10837/4096], [-3, -3], [4, 4], [0, 0]]]], [[11, 13, 6, 7, 1], [2^(1/
2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, -u^2+v^2-1 < y, z = z
], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [2, 2],
[0, 0]]]], [[11, 19, 10, 8, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [1, 1], [0, 0], [0, 0]]]], [[11, 21, 3, 9, 1], [2^(1/2) < v,
(v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [25, 25], [0, 0]]]], [[1, 4, 7, 6, 1
], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [0, 0
], [0, 0]]]], [[1, 6, 1, 6, 1], [v < -2^(1/2), u = v, x < -1, y = -x, z < 0],
[regular_chain, [[-3, -3], [-3, -3], [-2, -2], [2, 2], [-1, -1]]]], [[1, 6, 1,
6, 2], [v < -2^(1/2), u = v, x < -1, y = -x, z = 0], [regular_chain, [[-3, -3]
, [-3, -3], [-2, -2], [2, 2], [0, 0]]]], [[1, 6, 1, 6, 3], [v < -2^(1/2), u =
v, x < -1, y = -x, 0 < z], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [2,
2], [1, 1]]]], [[1, 12, 3, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x
,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-2, -2], [-2, -2], [-3, -3]]]], [[1, 12, 3, 1, 2], [v <
-2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2, -2], [-2, -2],
[-2, -2]]]], [[1, 12, 3, 1, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x
< -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
3, -3], [2774271/1048576, 10837/4096], [-2, -2], [-2, -2], [0, 0]]]], [[1, 12,
3, 1, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, z =
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-2,
-2], [-2, -2], [2, 2]]]], [[1, 12, 3, 1, 5], [v < -2^(1/2), u = (v^2-2)^(1/2),
And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-2, -2], [-2, -2], [3, 3]]]], [[1, 13, 7, 6, 1]
, [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+
v^2-1), y = 0, z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [0, 0], [0, 0]]]], [[1, 17, 11, 9, 1]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, 0 < y, z = z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [2, 2], [1, 1], [0,
0]]]], [[1, 19, 7, 5, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(0 < x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-\
129511/1048576, -129511/1048576], [0, 0]]]], [[2, 4, 1, 2, 1], [v = -2^(1/2),
u = -3^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [0,
0], [-3, -3]]]], [[2, 4, 1, 2, 2], [v = -2^(1/2), u = -3^(1/2), x < -2, y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[2, 4, 1, 2, 3], [v = -2^(1/2), u = -3^(1/2), x < -2, y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[2, 4, 1, 2, 4], [v = -2^(1/2), u = -3^(1/2), x < -2
, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1816187/1048576, -3632373/2097152], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[2, 4, 1, 2, 5], [v = -2^(1/2), u = -3^(1/2), x < -2, y
= 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [0, 0], [3, 3]]]], [[2, 5, 7, 7,
1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304],
[34423/262144, 34423/262144], [-2, -2]]]], [[2, 5, 7, 7, 2], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [34423/262144, 
34423/262144], [-47497/131072, -379975/1048576]]]], [[2, 5, 7, 7, 3], [v = -2^
(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(0 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [34423/262144, 34423/262144], [0, 0]]]], [[2, 5, 7, 7, 4], [
v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(0 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [
34423/262144, 34423/262144], [379975/1048576, 47497/131072]]]], [[2, 5, 7, 7,
5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [
34423/262144, 34423/262144], [2, 2]]]], [[2, 6, 1, 7, 1], [v = -2^(1/2), u = v
, x < -1, -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1482911/1048576, -741455/524288], [-2, -2], [3, 3], [0, 0]]]], [[2, 7, 10, 1
, 1], [v = -2^(1/2), And(v < u,u < -1), x = 1, y < u^2-4, z < -(-y-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[2, 7, 10, 1, 2], [v = -2^(1
/2), And(v < u,u < -1), x = 1, y < u^2-4, z = -(-y-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1,
1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 7, 10, 1, 3], [v =
-2^(1/2), And(v < u,u < -1), x = 1, y < u^2-4, And(-(-y-1)^(1/2) < z,z < (-y-1
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[2
, 7, 10, 1, 4], [v = -2^(1/2), And(v < u,u < -1), x = 1, y < u^2-4, z = (-y-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]
]]], [[2, 7, 10, 1, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1, y < u^2-4, (-
y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-4, -4], [3, 3]]]], [[2, 13, 9, 7
, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), And(-x < y,y < 0), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 15, 6, 6, 1], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = u^2-3, y = -u^2+3, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [275385/524288, 550771/1048576],
[-1, -1]]]], [[2, 15, 6, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = u^
2-3, y = -u^2+3, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [
275385/524288, 550771/1048576], [0, 0]]]], [[2, 15, 6, 6, 3], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [275385/524288, 550771/1048576], [1, 1]]]],
[[2, 19, 7, 6, 1], [v = -2^(1/2), 2 < u, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1/2, 1/2], [0, 0]
, [0, 0]]]], [[3, 1, 9, 9, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(1 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [4,
4], [0, 0]]]], [[3, 7, 11, 4, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v
^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[2, 2], [-2547523/1048576, -1273761/524288], [-2, -2]]]], [[3, 7, 11, 4, 2], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -\
1273761/524288], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 11, 4, 3], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x
-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [-2547523/1048576, -1273761/524288], [0, 0]]]], [[3, 7, 11, 4, 4], [And(-2
^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -1273761/
524288], [687203/1048576, 171801/262144]]]], [[3, 7, 11, 4, 5], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288
], [2, 2]]]], [[3, 9, 6, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x = 0, -u^2+v^2-1 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [2, 2], [0, 0]]]], [[3, 17
, 6, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 0, u^2-v^2-1 < y
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [0, 0
], [8, 8], [0, 0]]]], [[4, 1, 9, 3, 1], [v = -1, u < -3^(1/2), And(1 < x,x < u
^2-2), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-3, -3], [4, 4], [-17/2, -17/2], [-4, -4]]]], [[4, 1, 9, 3, 2], [v = -1, u <
-3^(1/2), And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-17/2, -17/2], [-1112183/524288,
-2224365/1048576]]]], [[4, 1, 9, 3, 3], [v = -1, u < -3^(1/2), And(1 < x,x < u
^2-2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-17/2, -17/2], [0, 0]]]], [[4, 1,
9, 3, 4], [v = -1, u < -3^(1/2), And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [4, 4], [-17/2, -17/2]
, [2224365/1048576, 1112183/524288]]]], [[4, 1, 9, 3, 5], [v = -1, u < -3^(1/2
), And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-3, -3], [4, 4], [-17/2, -17/2], [4, 4]]]], [[4, 7,
10, 9, 1], [v = -1, And(-1 < u,u < 0), x = 1, 0 < y, z = z], [regular_chain, [
[-1, -1], [-1/2, -1/2], [1, 1], [1, 1], [0, 0]]]], [[4, 9, 6, 3, 1], [v = -1,
And(0 < u,u < 1), x = -u^2, And(2*u^2-2 < y,y < 0), z < -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3/4, -3/4], [-2, -2]]]],
[[4, 9, 6, 3, 2], [v = -1, And(0 < u,u < 1), x = -u^2, And(2*u^2-2 < y,y < 0),
z = -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3/
4, -3/4], [-1, -1]]]], [[4, 9, 6, 3, 3], [v = -1, And(0 < u,u < 1), x = -u^2,
And(2*u^2-2 < y,y < 0), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3/4, -3/4], [0, 0]]]], [
[4, 9, 6, 3, 4], [v = -1, And(0 < u,u < 1), x = -u^2, And(2*u^2-2 < y,y < 0),
z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1/4, -1/4], [-3/4
, -3/4], [1, 1]]]], [[4, 9, 6, 3, 5], [v = -1, And(0 < u,u < 1), x = -u^2, And
(2*u^2-2 < y,y < 0), (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2]
, [-1/4, -1/4], [-3/4, -3/4], [2, 2]]]], [[4, 13, 10, 6, 1], [v = -1, And(2^(1
/2) < u,u < 3^(1/2)), x = 1, y = u^2-3, z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [1, 1], [-1101541/2097152, -275385/524288],
[0, 0]]]], [[4, 15, 4, 2, 1], [v = -1, 3^(1/2) < u, x = -1, y = -u^2+1, z < -u
], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [-8, -8], [-4, -4]]]], [[4, 15
, 4, 2, 2], [v = -1, 3^(1/2) < u, x = -1, y = -u^2+1, z = -u], [regular_chain,
[[-1, -1], [3, 3], [-1, -1], [-8, -8], [-3, -3]]]], [[4, 15, 4, 2, 3], [v = -1
, 3^(1/2) < u, x = -1, y = -u^2+1, And(-u < z,z < u)], [regular_chain, [[-1, -\
1], [3, 3], [-1, -1], [-8, -8], [0, 0]]]], [[4, 15, 4, 2, 4], [v = -1, 3^(1/2)
< u, x = -1, y = -u^2+1, z = u], [regular_chain, [[-1, -1], [3, 3], [-1, -1],
[-8, -8], [3, 3]]]], [[4, 15, 4, 2, 5], [v = -1, 3^(1/2) < u, x = -1, y = -u^2
+1, u < z], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [-8, -8], [4, 4]]]],
[[5, 5, 11, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y
< -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [2, 2], [-5, -5], [-3, -3]]]], [[5, 5, 11, 1, 2],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z
= -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[5, 5, 
11, 1, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y < -u^2+
v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[5, 5, 11, 1, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[5, 5, 11, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-1696631/2097152, -1696631/2097152], [2, 2], [-5, -5], [3, 3]]]], [[
5, 7, 8, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y = u^2-v^2-1, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [-5/4,
-5/4], [-3, -3]]]], [[5, 7, 8, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x
= 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
0, 0], [0, 0], [-5/4, -5/4], [-146543/131072, -1172343/1048576]]]], [[5, 7, 8,
2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y = u^2-v^2-1, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0,
0], [0, 0], [-5/4, -5/4], [0, 0]]]], [[5, 7, 8, 2, 4], [And(-1 < v,v < 0), And
(v < u,u < -v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [0, 0], [-5/4, -5/4], [1172343/1048576, 146543/131072]]
]], [[5, 7, 8, 2, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = 0, y = u^2-v^
2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [0, 0], [
-5/4, -5/4], [3, 3]]]], [[5, 8, 2, 2, 1], [And(-1 < v,v < 0), u = -v, x = -1,
y = 0, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [
-2, -2]]]], [[5, 8, 2, 2, 2], [And(-1 < v,v < 0), u = -v, x = -1, y = 0, z = -\
1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [-1, -1]]]],
[[5, 8, 2, 2, 3], [And(-1 < v,v < 0), u = -v, x = -1, y = 0, And(-1 < z,z < 1)
], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[5
, 8, 2, 2, 4], [And(-1 < v,v < 0), u = -v, x = -1, y = 0, z = 1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [1, 1]]]], [[5, 8,
2, 2, 5], [And(-1 < v,v < 0), u = -v, x = -1, y = 0, 1 < z], [regular_chain, [
[-1/2, -1/2], [1/2, 1/2], [-1, -1], [0, 0], [2, 2]]]], [[5, 9, 10, 3, 1], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u
^2-v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [1, 1], [-2, -2], [-2, -2]]]], [[5, 9, 10, 3, 2], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v
^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-2, -2], [-1, -1]]]], [[5, 9, 10, 3, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2
-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [1, 1], [-2, -2], [0, 0]]]], [[5, 9, 10, 3
, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < u^2-v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [1, 1], [-2, -2], [1, 1]]]], [[5, 9, 10, 3, 5], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [-2, -2], [2, 2]]]], [[6, 2, 5, 9, 1], [v =
0, u = -2^(1/2), And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[0, 0],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[6, 3, 
10, 7, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-2 < y,y < 0), z =
z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
569265/2097152, -569265/2097152], [0, 0]]]], [[6, 8, 4, 5, 1], [v = 0, u = 1,
x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [1, 1],
[-1, -1], [1/2, 1/2], [-2, -2]]]], [[6, 8, 4, 5, 2], [v = 0, u = 1, x = -1, 
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1, -1]
, [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[6, 8, 4, 5, 3], [v = 0
, u = 1, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [1/2, 1/2], [0, 0]]]], [[6, 8, 4, 5,
4], [v = 0, u = 1, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain,
[[0, 0], [1, 1], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[6,
8, 4, 5, 5], [v = 0, u = 1, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-1, -1], [1/2, 1/2], [2, 2]]]], [[6, 9, 10, 4
, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[6
, 9, 10, 4, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-1, -1],
[0, 0]]]], [[6, 9, 10, 4, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y = -1, 0
< z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [-1
, -1], [1, 1]]]], [[7, 4, 5, 2, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And
(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[7, 4, 5
, 2, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z
= -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576],
[-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[7, 4, 5,
2, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And
(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[7, 4, 5, 2, 4], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)
], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/
2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[7, 4, 5, 2, 5], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[-3/2, -3/2], [3, 3]]]], [[7, 5, 10, 8, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1
/2) < u,u < -v), x = 1, y = 0, z = z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [0, 0], [0, 0]]]], [[8, 1, 1, 6, 1], [v =
1, u < -3^(1/2), x < -u^2, y = -x, z < 0], [regular_chain, [[1, 1], [-3, -3],
[-10, -10], [10, 10], [-1, -1]]]], [[8, 1, 1, 6, 2], [v = 1, u < -3^(1/2), x <
-u^2, y = -x, z = 0], [regular_chain, [[1, 1], [-3, -3], [-10, -10], [10, 10],
[0, 0]]]], [[8, 1, 1, 6, 3], [v = 1, u < -3^(1/2), x < -u^2, y = -x, 0 < z], [
regular_chain, [[1, 1], [-3, -3], [-10, -10], [10, 10], [1, 1]]]], [[8, 2, 3,
7, 1], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [5/2,
5/2], [0, 0]]]], [[8, 8, 6, 5, 1], [v = 1, u = 0, x = 0, 0 < y, z = z], [
regular_chain, [[1, 1], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[8, 9, 11, 5, 1],
[v = 1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-17/8, -17/8], [-2, -2]]]], [[8,
9, 11, 5, 2], [v = 1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-17/8, -17/8], [-\
46341/131072, -370727/1048576]]]], [[8, 9, 11, 5, 3], [v = 1, And(0 < u,u < 1)
, 1 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-17/8, -17/8], [0, 0]]]], [[8, 9,
11, 5, 4], [v = 1, And(0 < u,u < 1), 1 < x, And(-u^2-x < y,y < -x), z = (-x-y)
^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-17/8, -17/8], [370727/
1048576, 46341/131072]]]], [[8, 9, 11, 5, 5], [v = 1, And(0 < u,u < 1), 1 < x,
And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2]
, [2, 2], [-17/8, -17/8], [2, 2]]]], [[8, 14, 5, 3, 1], [v = 1, u = 3^(1/2), 
And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]
]], [[8, 14, 5, 3, 2], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[8,
14, 5, 3, 3], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288
, 1816187/1048576], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[8, 14, 5, 3, 4],
[v = 1, u = 3^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)]
, [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5
/4, -5/4], [1387135/1048576, 10837/8192]]]], [[8, 14, 5, 3, 5], [v = 1, u = 3^
(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/4,
-5/4], [3, 3]]]], [[8, 15, 9, 4, 1], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2)
, y = -x, z < 0], [regular_chain, [[1, 1], [3, 3], [4, 4], [-4, -4], [-1, -1]]
]], [[8, 15, 9, 4, 2], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -x, z =
0], [regular_chain, [[1, 1], [3, 3], [4, 4], [-4, -4], [0, 0]]]], [[8, 15, 9,
4, 3], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -x, 0 < z], [
regular_chain, [[1, 1], [3, 3], [4, 4], [-4, -4], [1, 1]]]], [[9, 6, 7, 1, 1],
[And(1 < v,v < 2^(1/2)), u = -v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4, -4], [-3, -3]]]], [[9, 6, 7, 1, 2], [And(1 < v,
v < 2^(1/2)), u = -v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[9, 6, 7, 1, 3], [And(1 <
v,v < 2^(1/2)), u = -v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4, -4], [0, 0]]]], [[9, 6, 7, 1, 4], [And(1 < v,v
< 2^(1/2)), u = -v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [-4, -4], [741455/524288, 1482911/1048576]]]], [[9, 6, 7, 1, 5], [And(1 < v
,v < 2^(1/2)), u = -v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [-4, -4], [3, 3]]]], [[9, 8, 2, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [2, 2], [-1, -1]]]], [
[9, 8, 2, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y = 2, z
= 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152,
-354469/524288], [-2, -2], [2, 2], [0, 0]]]], [[9, 8, 2, 4, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [2,
2], [1, 1]]]], [[9, 8, 9, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
1 < x, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [2, 2], [0, 0], [0, 0]]]], [[9, 10, 3, 4, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z < -
(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[9, 10, 3, 4, 2],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288
, 708939/1048576], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]]
, [[9, 10, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(-2 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [0,
0], [0, 0]]]], [[9, 10, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2),
And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [0, 0], [
642119/524288, 1284239/1048576]]]], [[9, 10, 3, 4, 5], [And(1 < v,v < 2^(1/2))
, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[9, 16, 6, 4, 1], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [0, 0], [-\
1, -1]]]], [[9, 16, 6, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x =
0, y = 0, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853
/65536, 1949649/1048576], [0, 0], [0, 0], [0, 0]]]], [[9, 16, 6, 4, 3], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [0
, 0], [1, 1]]]], [[9, 17, 10, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) <
u, x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-\
6860721/2097152, -6860721/2097152], [0, 0]]]], [[10, 4, 9, 7, 1], [v = 2^(1/2)
, u = -3^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1816187/1048576, -3632373/2097152], [2, 2], [1, 1], [0, 0]]]], [[
10, 6, 3, 5, 1], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911
/1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[10, 6, 3,
5, 2], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 6, 3, 5, 3],
[v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 6
, 3, 5, 4], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 6, 3,
5, 5], [v = 2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 12, 5, 6, 1], [v =
2^(1/2), u = 1, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10,
12, 5, 6, 2], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [1/2,
1/2], [0, 0]]]], [[10, 12, 5, 6, 3], [v = 2^(1/2), u = 1, And(-1 < x,x < 0), y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1/2
, -1/2], [1/2, 1/2], [1, 1]]]], [[10, 13, 10, 8, 1], [v = 2^(1/2), And(1 < u,u
< v), x = 1, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[11, 2, 7, 3,
1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[11, 2, 7, 3, 2], [2^(1/2) < v,
u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-\
2, -2], [-1284239/1048576, -642119/524288]]]], [[11, 2, 7, 3, 3], [2^(1/2) < v
, u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[11, 2, 7, 3, 4], [2^(1/2) < v, u
= -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-2,
-2], [642119/524288, 1284239/1048576]]]], [[11, 2, 7, 3, 5], [2^(1/2) < v, u =
-(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/2], [-2,
-2], [3, 3]]]], [[11, 3, 11, 4, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[11, 3, 11, 4, 2],
[2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z = 0
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-2,
-2], [0, 0]]]], [[11, 3, 11, 4, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [2, 2], [-2, -2], [1, 1]]]], [[11, 10, 4, 3, 1], [
2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-1,
-1], [-3, -3]]]], [[11, 10, 4, 3, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1
, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/
524288]]]], [[11, 10, 4, 3, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(
-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3]
, [-5548543/2097152, -2774271/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[11, 
10, 4, 3, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), z =
(1-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 10, 4, 3, 5], [2
^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1, -1], [-1, -\
1], [3, 3]]]], [[11, 11, 8, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v
^2-2)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[3, 3], [0, 0], [1, 1],
[-1, -1], [-1, -1]]]], [[11, 11, 8, 4, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [0, 0],
[1, 1], [-1, -1], [0, 0]]]], [[11, 11, 8, 4, 3], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [0
, 0], [1, 1], [-1, -1], [1, 1]]]], [[11, 15, 9, 6, 1], [2^(1/2) < v, And((v^2-\
1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [
[11, 15, 9, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1
), y = -x, z = 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 15, 9, 6, 3], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]],
[[11, 17, 6, 1, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2], [-3, -\
3]]]], [[11, 17, 6, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2
-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2],
[-3320253/2097152, -830063/524288]]]], [[11, 17, 6, 1, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(
1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2], [0, 0]]]], [[11
, 17, 6, 1, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y <
-2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2], [830063
/524288, 1660127/1048576]]]], [[11, 17, 6, 1, 5], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-2, -2], [3, 3]]]], [[1, 4, 9, 6, 1], [v < -2^(1/2), u = -(
v^2+1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [2, 2], [0, 0], [0, 0]]]], [[1, 6, 3, 4, 1], [v < -2^
(1/2), u = v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3
, -3], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 6, 3, 4, 2], [v < -2^
(1/2), u = v, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3
, -3], [-3, -3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]],
[[1, 6, 3, 4, 3], [v < -2^(1/2), u = v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [
0, 0], [0, 0]]]], [[1, 6, 3, 4, 4], [v < -2^(1/2), u = v, And(-1 < x,x < 0), y
= 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [0, 0
], [741455/1048576, 46341/65536]]]], [[1, 6, 3, 4, 5], [v < -2^(1/2), u = v, 
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3]
, [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 12, 2, 6, 1], [v < -2^(1/2), u = (v^2-\
2)^(1/2), x = -3, y = 4, z = z], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [-3, -3], [4, 4], [0, 0]]]], [[1, 13, 6, 7, 1], [v < -2^(1/2), 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, -u^2+v^2-1 < y, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [2, 2], [0
, 0]]]], [[1, 18, 3, 2, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -\
1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889
/1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[1, 18, 3, 2, 2], [v < -2
^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/2
, -1/2], [-1482911/1048576, -741455/524288]]]], [[1, 18, 3, 2, 3], [v < -2^(1/
2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2
], [-1/2, -1/2], [0, 0]]]], [[1, 18, 3, 2, 4], [v < -2^(1/2), u = (v^2+1)^(1/2
), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 
1482911/1048576]]]], [[1, 18, 3, 2, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), And(
-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[1, 19, 8, 6,
1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y
= 0, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [0, 0], [0, 0]]]], [[2, 3, 11, 9, 1], [v = -2^
(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2]
, [1, 1], [0, 0]]]], [[2, 5, 7, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
And(u^2-3 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-3, -3], [-3, -3]]]], [[2, 5, 7, 1, 2], [
v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y < -u^2-x+1, z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195
/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-3, -3], [
-7576065/4194304, -14797/8192]]]], [[2, 5, 7, 1, 3], [v = -2^(1/2), And(-3^(1/
2) < u,u < v), And(u^2-3 < x,x < 0), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-3, -3], [0
, 0]]]], [[2, 5, 7, 1, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 <
x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [-3, -3], [14797/8192, 1894017/1048576]]]], [[2, 5, 7, 1, 5]
, [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y < -u^2-x+1,
(-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-3,
-3], [3, 3]]]], [[2, 6, 3, 1, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y <
-1-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[2,
6, 3, 1, 2], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]]
, [[2, 6, 3, 1, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-2, -2], [0, 0]]]
], [[2, 6, 3, 1, 4], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, z = (-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/
1048576]]]], [[2, 6, 3, 1, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y < -1
-x, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[2, 7, 
10, 3, 1], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), z
< -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[2, 7, 10,
3, 2], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), z = -
(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[2, 7, 10, 3, 3],
[v = -2^(1/2), And(v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), And(-(-y-1)^
(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[
2, 7, 10, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(u^2-4 < y,y < -u
^2), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[2, 7, 10,
3, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), (-y-1
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1, 1], [-2, -2], [2, 2]]]], [[2, 13, 8, 4, 1], [v
= -2^(1/2), And(1 < u,u < -v), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [0, 0], [-479311/1048576, -239655/524288], [-2, -2]]]], [[2, 13, 8,
4, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [-1417877/2097152
, -354469/524288]]]], [[2, 13, 8, 4, 3], [v = -2^(1/2), And(1 < u,u < -v), x =
0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0],
[-479311/1048576, -239655/524288], [0, 0]]]], [[2, 13, 8, 4, 4], [v = -2^(1/2)
, And(1 < u,u < -v), x = 0, y = -u^2+1, z = (u^2-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0],
[-479311/1048576, -239655/524288], [354469/524288, 708939/1048576]]]], [[2, 13
, 8, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y = -u^2+1, (u^2-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [2, 2]]]], [[2, 
15, 5, 1, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y
< -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-2, -2], [-3, -3]]]], [[2, 15, 5, 1, 2], [v = -2^(1/2), And(-v < u,
u < 3^(1/2)), And(-1 < x,x < u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-2, -2], [-3485709/2097152, -\
871427/524288]]]], [[2, 15, 5, 1, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-3198693/4194304, -3198693/4194304], [-2, -2], [0, 0]]]], [[2, 15,
5, 1, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y < -
u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [
-2, -2], [871427/524288, 1742855/1048576]]]], [[2, 15, 5, 1, 5], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [-2, -2], [3, 3]]]], [
[2, 19, 8, 3, 1], [v = -2^(1/2), 2 < u, x = 1, And(-u^2 < y,y < -1), z < -(-y-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1]
, [-5, -5], [-3, -3]]]], [[2, 19, 8, 3, 2], [v = -2^(1/2), 2 < u, x = 1, And(-
u^2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1, 1], [-5, -5], [-2, -2]]]], [[2, 19, 8, 3, 3], [v =
-2^(1/2), 2 < u, x = 1, And(-u^2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1],
[-5, -5], [0, 0]]]], [[2, 19, 8, 3, 4], [v = -2^(1/2), 2 < u, x = 1, And(-u^2
< y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1, 1], [-5, -5], [2, 2]]]], [[2, 19, 8, 3, 5], [v = -2^(1/2)
, 2 < u, x = 1, And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [-5, -5], [3, 3]]]], [[3, 1,
10, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -\
2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-15818595/
1048576, -7909297/524288], [-4, -4]]]], [[3, 1, 10, 2, 2], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [-15818595/1048576, -7909297/524288], [-\
1532401/524288, -24518415/8388608]]]], [[3, 1, 10, 2, 3], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-15818595/1048576, -\
7909297/524288], [-7/16777216, -7/16777216]]]], [[3, 1, 10, 2, 4], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3]
, [6860721/1048576, 3430361/524288], [-15818595/1048576, -7909297/524288], [
3064801/1048576, 1532401/524288]]]], [[3, 1, 10, 2, 5], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [-15818595/1048576, -7909297/524288], [4, 4]]]], [[3
, 7, 10, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1,
1], [-2, -2], [-2, -2]]]], [[3, 7, 10, 3, 2], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = -(-y-1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [-2, -2], [-1, -1]]]], [[3, 7, 10, 3, 3],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2
< y,y < -u^2+v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
1, 1], [-2, -2], [0, 0]]]], [[3, 7, 10, 3, 4], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [-2, -2], [1, 1]]]], [[3, 7, 10, 3, 5], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2
< y,y < -u^2+v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-2, -2], [2,
2]]]], [[3, 9, 5, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [
-8208699/4194304, -32834795/16777216], [-3, -3]]]], [[3, 9, 5, 2, 2], [And(-2^
(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0
), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-8208699/4194304, -32834795
/16777216], [-410915/262144, -3287319/2097152]]]], [[3, 9, 5, 2, 3], [And(-2^(
1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0)
, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-\
8208699/4194304, -32834795/16777216], [-1/4194304, -1/4194304]]]], [[3, 9, 5,
2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-8208699/4194304,
-32834795/16777216], [1643659/1048576, 410915/262144]]]], [[3, 9, 5, 2, 5], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 <
x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-8208699/4194304, -\
32834795/16777216], [3, 3]]]], [[3, 17, 8, 5, 1], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [3, 3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 1,
10, 4, 1], [v = -1, u < -3^(1/2), x = u^2-2, y = -u^2+2, z < 0], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [-7, -7], [-1, -1]]]], [[4, 1, 10,
4, 2], [v = -1, u < -3^(1/2), x = u^2-2, y = -u^2+2, z = 0], [regular_chain, [
[-1, -1], [-3, -3], [7, 7], [-7, -7], [0, 0]]]], [[4, 1, 10, 4, 3], [v = -1, u
< -3^(1/2), x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[-1, -1], [-3, -3]
, [7, 7], [-7, -7], [1, 1]]]], [[4, 7, 10, 7, 1], [v = -1, And(-1 < u,u < 0),
x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1,
1], [-1/2, -1/2], [0, 0]]]], [[4, 9, 5, 6, 1], [v = -1, And(0 < u,u < 1), And(
-1 < x,x < -u^2), y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2],
[-5/8, -5/8], [3/8, 3/8], [-2, -2]]]], [[4, 9, 5, 6, 2], [v = -1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [1
/2, 1/2], [-5/8, -5/8], [3/8, 3/8], [-1/2, -1/2]]]], [[4, 9, 5, 6, 3], [v = -1
, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3/8, 3/8], [0, 0]]]], [[4
, 9, 5, 6, 4], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -u^2-x, z
= u], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3/8, 3/8], [1/2, 1
/2]]]], [[4, 9, 5, 6, 5], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y =
-u^2-x, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3/8, 3/8
], [2, 2]]]], [[4, 14, 1, 2, 1], [v = -1, u = 3^(1/2), x < -3, y = 0, z < -(-x
)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4
], [0, 0], [-3, -3]]]], [[4, 14, 1, 2, 2], [v = -1, u = 3^(1/2), x < -3, y = 0
, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [-4, -4], [0, 0], [-2, -2]]]], [[4, 14, 1, 2, 3], [v = -1, u = 3^(1/2), x <
-3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-4, -4], [0, 0], [0, 0]]]], [[4, 14, 1, 2, 4
], [v = -1, u = 3^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [-4, -4], [0, 0], [2, 2]]]], [[4, 14, 1
, 2, 5], [v = -1, u = 3^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [0, 0], [3, 3]]]], [[4,
15, 5, 3, 1], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(-u^2-x < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-17/4, -\
17/4], [-4, -4]]]], [[4, 15, 5, 3, 2], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0)
, And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3]
, [-1/2, -1/2], [-17/4, -17/4], [-2285319/1048576, -1142659/524288]]]], [[4, 
15, 5, 3, 3], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(-u^2-x < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [
-1/2, -1/2], [-17/4, -17/4], [0, 0]]]], [[4, 15, 5, 3, 4], [v = -1, 3^(1/2) <
u, And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[-1, -1], [3, 3], [-1/2, -1/2], [-17/4, -17/4], [1142659/524288, 2285319/
1048576]]]], [[4, 15, 5, 3, 5], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(-
u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-1/2,
-1/2], [-17/4, -17/4], [4, 4]]]], [[5, 5, 10, 8, 1], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), x = 1, y = 0, z = z], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [1, 1], [0, 0], [0, 0]]]], [[5, 7, 7, 5,
1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2
+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0]
, [-3/8, -3/8], [-3/16, -3/16], [-2, -2]]]], [[5, 7, 7, 5, 2], [And(-1 < v,v <
0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/
16, -3/16], [-3/4, -3/4]]]], [[5, 7, 7, 5, 3], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8]
, [-3/16, -3/16], [0, 0]]]], [[5, 7, 7, 5, 4], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [3/4,
3/4]]]], [[5, 7, 7, 5, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2
-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [2, 2]]]], [[5, 8, 3, 3,
1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(
-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-1/4,
-1/4], [-2, -2]]]], [[5, 8, 3, 3, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x
< 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1/2, 1/2], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]
], [[5, 8, 3, 3, 3], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(-1-x <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1
/2], [1/2, 1/2], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[5,
8, 3, 3, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0
), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2],
[-1/4, -1/4], [908093/1048576, 454047/524288]]]], [[5, 8, 3, 3, 5], [And(-1 <
v,v < 0), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]
], [[5, 9, 10, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1
, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [1, 1], [-5443141/4194304, -5443141/
4194304], [-2, -2]]]], [[5, 9, 10, 5, 2], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-\
5443141/4194304, -5443141/4194304], [-1144335/2097152, -572167/1048576]]]], [[
5, 9, 10, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And
(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-\
5443141/4194304, -5443141/4194304], [0, 0]]]], [[5, 9, 10, 5, 4], [And(-1 < v,
v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = (
-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152
], [1, 1], [-5443141/4194304, -5443141/4194304], [572167/1048576, 71521/131072
]]]], [[5, 9, 10, 5, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [1696631/2097152, 1696631/2097152], [1, 1], [-5443141/4194304, -5443141/
4194304], [2, 2]]]], [[6, 2, 4, 8, 1], [v = 0, u = -2^(1/2), x = -1, y = 2, z
= z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [
2, 2], [0, 0]]]], [[6, 3, 9, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-\
1 < x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [-\
3340407/1048576, -1670203/524288], [-3, -3]]]], [[6, 3, 9, 2, 2], [v = 0, And(
-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y = -u^2-x-1, z = -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/
2097152, 1527887/2097152], [-3340407/1048576, -1670203/524288], [-410915/
262144, -3287319/2097152]]]], [[6, 3, 9, 2, 3], [v = 0, And(-2^(1/2) < u,u < -\
1), And(u^2-1 < x,x < 1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/
2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/
2097152, 1527887/2097152], [-3340407/1048576, -1670203/524288], [-1/4194304, -\
1/4194304]]]], [[6, 3, 9, 2, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 <
x,x < 1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [-3340407/
1048576, -1670203/524288], [1643659/1048576, 410915/262144]]]], [[6, 3, 9, 2,
5], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y = -u^2-x-1, (u^2
+1)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576],
[1527887/2097152, 1527887/2097152], [-3340407/1048576, -1670203/524288], [3, 3
]]]], [[6, 8, 5, 4, 1], [v = 0, u = 1, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[6,
8, 5, 4, 2], [v = 0, u = 1, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[6, 8, 5, 4, 3], [v = 0, u = 1, And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-1/2,
-1/2], [0, 0], [0, 0]]]], [[6, 8, 5, 4, 4], [v = 0, u = 1, And(-1 < x,x < 0),
y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [0, 0],
[741455/1048576, 46341/65536]]]], [[6, 8, 5, 4, 5], [v = 0, u = 1, And(-1 < x,
x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2],
[0, 0], [2, 2]]]], [[6, 9, 10, 6, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, y
= u^2-2, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[1, 1], [-1138531/2097152, -569265/1048576], [0, 0]]]], [[7, 4, 3, 6, 1], [And
(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[3/2, 3/2], [-1, -1]]]], [[7, 4, 3, 6, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/
2), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[7, 4, 3, 6,
3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[3/2, 3/2], [1, 1]]]], [[7, 5, 9, 3, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[1/2, 1/2], [-25165827/16777216, -25165827/16777216], [-3, -3]]]], [[7, 5, 9,
3, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-25165827/
16777216, -25165827/16777216], [-1048577/1048576, -1]]]], [[7, 5, 9, 3, 3], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[-25165827/16777216, -25165827/16777216], [0, 0]]]], [[7, 5, 9, 3, 4], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1
< y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [1/2, 1/2], [-25165827/16777216, -25165827
/16777216], [1, 1048577/1048576]]]], [[7, 5, 9, 3, 5], [And(0 < v,v < 1), And(
-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2
-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [3, 3]
]]], [[8, 1, 2, 7, 1], [v = 1, u < -3^(1/2), x = -u^2, 2*u^2-2 < y, z = z], [
regular_chain, [[1, 1], [-3, -3], [-9, -9], [17, 17], [0, 0]]]], [[8, 2, 5, 3,
1], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [-5/4, -5/4], [-3, -3]]]], [[8, 2, 5, 3, 2], [v = 1, u = -3^(1/2), And(
-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1
], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-5/4, -5/4], [-10837/
8192, -1387135/1048576]]]], [[8, 2, 5, 3, 3], [v = 1, u = -3^(1/2), And(-1 < x
,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-\
5/4, -5/4], [0, 0]]]], [[8, 2, 5, 3, 4], [v = 1, u = -3^(1/2), And(-1 < x,x <
0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187
/1048576, -3632373/2097152], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 
10837/8192]]]], [[8, 2, 5, 3, 5], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), And
(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[8, 8, 5,
6, 1], [v = 1, u = 0, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1,
1], [0, 0], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 8, 5, 6, 2], [v = 1, u
= 0, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1, 1], [0, 0], [-1/2
, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 8, 5, 6, 3], [v = 1, u = 0, And(-1 < x,x
< 0), y = -x, 0 < z], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [1/2, 1/2
], [1, 1]]]], [[8, 9, 11, 3, 1], [v = 1, And(0 < u,u < 1), 1 < x, And(u^2-x-2
< y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2,
2], [-3, -3], [-2, -2]]]], [[8, 9, 11, 3, 2], [v = 1, And(0 < u,u < 1), 1 < x,
And(u^2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2
, 1/2], [2, 2], [-3, -3], [-1, -1]]]], [[8, 9, 11, 3, 3], [v = 1, And(0 < u,u
< 1), 1 < x, And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-3, -3], [0, 0]]]], [[8, 9
, 11, 3, 4], [v = 1, And(0 < u,u < 1), 1 < x, And(u^2-x-2 < y,y < -u^2-x), z =
(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-3, -3], [1, 1]]]
], [[8, 9, 11, 3, 5], [v = 1, And(0 < u,u < 1), 1 < x, And(u^2-x-2 < y,y < -u^
2-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-3, -3]
, [2, 2]]]], [[8, 14, 6, 4, 1], [v = 1, u = 3^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [0, 0], [-1,
-1]]]], [[8, 14, 6, 4, 2], [v = 1, u = 3^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [0, 0], [0,
0]]]], [[8, 14, 6, 4, 3], [v = 1, u = 3^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [0, 0], [1,
1]]]], [[8, 15, 11, 2, 1], [v = 1, 3^(1/2) < u, u^2-2 < x, y = -u^2-x, z < -u]
, [regular_chain, [[1, 1], [3, 3], [8, 8], [-17, -17], [-4, -4]]]], [[8, 15, 
11, 2, 2], [v = 1, 3^(1/2) < u, u^2-2 < x, y = -u^2-x, z = -u], [regular_chain
, [[1, 1], [3, 3], [8, 8], [-17, -17], [-3, -3]]]], [[8, 15, 11, 2, 3], [v = 1
, 3^(1/2) < u, u^2-2 < x, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[1,
1], [3, 3], [8, 8], [-17, -17], [0, 0]]]], [[8, 15, 11, 2, 4], [v = 1, 3^(1/2)
< u, u^2-2 < x, y = -u^2-x, z = u], [regular_chain, [[1, 1], [3, 3], [8, 8], [
-17, -17], [3, 3]]]], [[8, 15, 11, 2, 5], [v = 1, 3^(1/2) < u, u^2-2 < x, y =
-u^2-x, u < z], [regular_chain, [[1, 1], [3, 3], [8, 8], [-17, -17], [4, 4]]]]
, [[9, 6, 6, 2, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y = -2, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[9, 6, 6, 2, 2], [And(1 < v,
v < 2^(1/2)), u = -v, x = 1, y = -2, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-2,
-2], [-1, -1]]]], [[9, 6, 6, 2, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y
= -2, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[9, 6, 6,
2, 4], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y = -2, z = 1], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [-2, -2], [1, 1]]]], [[9, 6, 6, 2, 5], [And(1 < v,v < 2^(1/2)), u = -v, x
= 1, y = -2, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [2, 2]]]], [[9, 8, 2, 2,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y = 0, z < -2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [0, 0], [-3, -3]]]], [[9, 8, 2, 2, 2], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2,
-2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[9, 8, 2, 2, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [0, 0], [0, 0]]]], [[9, 8, 2, 2, 4], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2
], [0, 0], [741455/524288, 1482911/1048576]]]], [[9, 8, 2, 2, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -\
2], [0, 0], [3, 3]]]], [[9, 9, 1, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-1, -1]
, [-4, -4]]]], [[9, 9, 1, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-1, -1], [-146543/
65536, -2344687/1048576]]]], [[9, 9, 1, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [-4, -4], [-1, -1], [0, 0]]]], [[9, 9, 1, 1, 4], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [
-1, -1], [2344687/1048576, 146543/65536]]]], [[9, 9, 1, 1, 5], [And(1 < v,v <
2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, (-x
-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
-4, -4], [-1, -1], [4, 4]]]], [[9, 10, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u =
(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[-1/2, -1/2], [-3, -3]]]], [[9, 10, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^
2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[9, 10, 4, 3, 3], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[9, 10, 4
, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0)
, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[9, 10, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [-1/2, -\
1/2], [3, 3]]]], [[9, 16, 4, 8, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2)
, x = -1, y = 2, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[121853/65536, 1949649/1048576], [-1, -1], [2, 2], [0, 0]]]], [[9, 17, 9, 4, 1
], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -
x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [-7909297/2097152, -7909297/2097152], [-1,
-1]]]], [[9, 17, 9, 4, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 <
x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-7909297/2097152, -\
7909297/2097152], [0, 0]]]], [[9, 17, 9, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152],
[-7909297/2097152, -7909297/2097152], [1, 1]]]], [[10, 5, 1, 2, 1], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [0, 0], [-3, -3]]]], [[10, 5, 1, 2, 2], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), x < -u^2+1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3
], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[10, 5, 1, 2, 3], [v = 2^
(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[
10, 5, 1, 2, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = 0, z
= (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]
]]], [[10, 5, 1, 2, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y
= 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [0, 0], [3, 3]]]], [[10, 6, 4, 4
, 1], [v = 2^(1/2), u = -v, x = 0, y = 0, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [0, 0],
[-1, -1]]]], [[10, 6, 4, 4, 2], [v = 2^(1/2), u = -v, x = 0, y = 0, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [0, 0], [0, 0]]]], [[10, 6, 4, 4, 3], [v = 2^(1/2), u = -v, x
= 0, y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [0, 0], [0, 0], [1, 1]]]], [[10, 12, 3, 6, 1
], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]]
, [[10, 12, 3, 6, 2], [v = 2^(1/2), u = 1, And(-2 < x,x < -1), y = -x, z = 0],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [3/2,
3/2], [0, 0]]]], [[10, 12, 3, 6, 3], [v = 2^(1/2), u = 1, And(-2 < x,x < -1),
y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3
/2, -3/2], [3/2, 3/2], [1, 1]]]], [[10, 13, 9, 7, 1], [v = 2^(1/2), And(1 < u,
u < v), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/
4, -1/4], [0, 0]]]], [[11, 2, 8, 4, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x =
1, y = -1, z < 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576
], [1, 1], [-1, -1], [-1, -1]]]], [[11, 2, 8, 4, 2], [2^(1/2) < v, u = -(v^2+2
)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [1, 1], [-1, -1], [0, 0]]]], [[11, 2, 8, 4, 3], [2^(1/2) < v
, u = -(v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [1, 1], [-1, -1], [1, 1]]]], [[11, 4, 2, 2,
1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [0, 0], [
-3, -3]]]], [[11, 4, 2, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y = 0
, z = -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [
-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[11, 4, 2, 2, 3], [2^
(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [0, 0],
[0, 0]]]], [[11, 4, 2, 2, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y = 0,
z = 2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2,
-2], [0, 0], [741455/524288, 1482911/1048576]]]], [[11, 4, 2, 2, 5], [2^(1/2)
< v, u = -(v^2+1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-2, -2], [0, 0], [3, 3]]]], [[11, 10, 3, 6
, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [2, 2]
, [-1, -1]]]], [[11, 10, 3, 6, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 <
x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-2, -2], [2, 2], [0, 0]]]], [[11, 10, 3, 6, 3], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3
, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [2, 2], [1, 1]]]], [[11,
11, 8, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1,
1], [-11, -11], [-5, -5]]]], [[11, 11, 8, 2, 2], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [1, 1], [-11, -11], [-3315889/1048576, -207243
/65536]]]], [[11, 11, 8, 2, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-\
2)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^
(1/2))], [regular_chain, [[3, 3], [0, 0], [1, 1], [-11, -11], [0, 0]]]], [[11,
11, 8, 2, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1, 1
], [-11, -11], [207243/65536, 3315889/1048576]]]], [[11, 11, 8, 2, 5], [2^(1/2
) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+
v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [1, 1], [-11, -11], [5, 5]
]]], [[11, 15, 10, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, 
And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 17, 7, 8, 1], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/262144, 265597/1048576], [-1, -1]]]], [[11, 17, 7, 8,
2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y =
-x, z = 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385
/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [0, 0]]]], [[11,
17, 7, 8, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 0), y = -x, 0 < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [1, 1]]]
], [[1, 1, 4, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-16,
-16], [-6, -6]]]], [[1, 1, 4, 2, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1
, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5],
[-1, -1], [-16, -16], [-2161695/524288, -4323389/1048576]]]], [[1, 1, 4, 2, 3]
, [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-1, -1]
, [-16, -16], [0, 0]]]], [[1, 1, 4, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2),
x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [-1, -1], [-16, -16], [4323389/1048576, 2161695/524288]]]], [[1, 1, 4, 2,
5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-16, -16], [6, 6]]]], [[
1, 2, 6, 1, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, y < -3, z < -(-y)^(1
/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0],
[-4, -4], [-3, -3]]]], [[1, 2, 6, 1, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x
= 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[1, 2, 6, 1, 3], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0], [-4, -4
], [0, 0]]]], [[1, 2, 6, 1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, y <
-3, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [0, 0], [-4, -4], [2, 2]]]], [[1, 2, 6, 1, 5], [v < -2^(1/2), u = -(
v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [0, 0], [-4, -4], [3, 3]]]], [[1, 8, 7, 5,
1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z
= z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2,
1/2], [-1/4, -1/4], [0, 0]]]], [[1, 10, 1, 1, 1], [v < -2^(1/2), u = -(v^2-2)^
(1/2), x < -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543
/2097152, -2774271/1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[1, 10, 1, 1, 2
], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [-1,
-1], [-146543/65536, -2344687/1048576]]]], [[1, 10, 1, 1, 3], [v < -2^(1/2), u
= -(v^2-2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [-1,
-1], [0, 0]]]], [[1, 10, 1, 1, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[1,
10, 1, 1, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4],
[-1, -1], [4, 4]]]], [[1, 14, 2, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x =
-2, 2 < y, z = z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576]
, [-2, -2], [3, 3], [0, 0]]]], [[1, 15, 8, 4, 1], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-129143
/262144, -516571/1048576], [-2, -2]]]], [[1, 15, 8, 4, 2], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-129143
/262144, -516571/1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 15, 8,
4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [0, 0], [-129143/262144, -516571/1048576],
[-1/4194304, -1/4194304]]]], [[1, 15, 8, 4, 4], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-129143/262144, -\
516571/1048576], [367989/524288, 735979/1048576]]]], [[1, 15, 8, 4, 5], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0]
, [-129143/262144, -516571/1048576], [2, 2]]]], [[1, 21, 8, 3, 1], [v < -2^(1/
2), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[-3, -3], [5, 5], [1, 1], [-19/2, -19/2], [-4, -4]]]], [[1, 
21, 8, 3, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-19/2, -\
19/2], [-24456785/8388608, -1528549/524288]]]], [[1, 21, 8, 3, 3], [v < -2^(1/
2), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-19/2, -19/2
], [0, 0]]]], [[1, 21, 8, 3, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(
-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5],
[1, 1], [-19/2, -19/2], [1528549/524288, 3057099/1048576]]]], [[1, 21, 8, 3, 5
], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)
^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-19/2, -19/2], [4, 4]
]]], [[2, 1, 10, 2, 1], [v = -2^(1/2), u < -2, x = u^2-3, y = -2*u^2+4, z < -(
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[6, 6], [-14, -14], [-4, -4]]]], [[2, 1, 10, 2, 2], [v = -2^(1/2), u < -2, x =
u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [6, 6], [-14, -14], [-2965821/1048576, -11863283/
4194304]]]], [[2, 1, 10, 2, 3], [v = -2^(1/2), u < -2, x = u^2-3, y = -2*u^2+4
, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [6, 6], [-14, -14], [-3/8388608, -3/
8388608]]]], [[2, 1, 10, 2, 4], [v = -2^(1/2), u < -2, x = u^2-3, y = -2*u^2+4
, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3
, -3], [6, 6], [-14, -14], [741455/262144, 2965821/1048576]]]], [[2, 1, 10, 2,
5], [v = -2^(1/2), u < -2, x = u^2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [-14, -\
14], [4, 4]]]], [[2, 10, 2, 6, 1], [v = -2^(1/2), u = 0, x = -3, y = 4, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [4, 4
], [0, 0]]]], [[2, 11, 6, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 0, -u^2+
1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2]
, [0, 0], [2, 2], [0, 0]]]], [[2, 17, 8, 6, 1], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), x = u^2-3, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144],
[0, 0], [0, 0]]]], [[2, 19, 1, 7, 1], [v = -2^(1/2), 2 < u, x < -u^2+1, And(-x
< y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-9, -9], [12, 12], [0, 0]]]], [[3, 3, 11, 9, 1], [And(-2^(1/2) < v,v
< -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [1, 1], [0, 0]]]], [[3, 5, 7, 1, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2
+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-3, -3], [-3, -3]]]], [[3, 5, 7, 1, 2], [And(-2^(1/2) < v,v < -1),
And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-3, -\
3], [-3790127/2097152, -7580253/4194304]]]], [[3, 5, 7, 1, 3], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v
^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-3, -3], [-1/8388608, -1/8388608]]]], [[3, 5, 7, 1
, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1
< x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-3, -3], [1895063/1048576, 236883/131072]]]], [[3,
5, 7, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [-3, -3], [3, 3]]]], [[3, 11, 8, 7, 1], [And
(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [1, 1], [0, 0]]]], [[3, 13, 5, 4, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, z < -(-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [0, 0], [-2,
-2]]]], [[3, 13, 5, 4, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(
1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [0, 0], [-917871/1048576, -7342967/8388608
]]]], [[3, 13, 5, 4, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/
2)), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [0, 0], [-7/16777216,
-7/16777216]]]], [[3, 13, 5, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [0, 0], [458935/524288
, 917871/1048576]]]], [[3, 13, 5, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [0, 0], [2, 2]]]], [[3
, 13, 11, 8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 1 <
x, y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [0, 0], [0, 0]]]], [[3, 15, 6, 7, 1
], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0,
u^2-v^2-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [0, 0], [2, 2], [0, 0]]]], [[4, 3, 10, 5, 1],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-1 < y,y < u^2-3), z = z],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-\
799673/1048576, -799673/1048576], [0, 0]]]], [[4, 5, 5, 4, 1], [v = -1, And(-2
^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [0, 0], [-2, -2]]]], [[4, 5, 5, 4, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [0, 0], [-7367887/8388608, -3683943/4194304]]]], [
[4, 5, 5, 4, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [0, 0], [-3/
8388608, -3/8388608]]]], [[4, 5, 5, 4, 4], [v = -1, And(-2^(1/2) < u,u < -1),
And(-1 < x,x < u^2-2), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [0,
0], [920985/1048576, 460493/524288]]]], [[4, 5, 5, 4, 5], [v = -1, And(-2^(1/2
) < u,u < -1), And(-1 < x,x < u^2-2), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [0, 0], [2, 2]]]], [[4, 9, 11, 9, 1], [v = -1, And(0 < u,u < 1), 1 <
x, 0 < y, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [1, 1], [0, 0
]]]], [[4, 11, 8, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y = 0, z < 0]
, [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0
], [-1, -1]]]], [[4, 11, 8, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, y =
0, z = 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0,
0], [0, 0], [0, 0]]]], [[4, 11, 8, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), x =
0, y = 0, 0 < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [0, 0], [0, 0], [1, 1]]]], [[5, 2, 3, 2, 1], [And(-1 < v,v < 0), u = -(v^2+
2)^(1/2), And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-2, -2], [-1, -1], [-3, -3]]]], [[5, 2, 3, 2, 2], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[5, 2, 3, 2, 3], [And(-1 < v,v < 0), u = -(v^2
+2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-1, -1], [-1/4194304, -\
1/4194304]]]], [[5, 2, 3, 2, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-\
3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -\
3/2], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[5, 2, 3, 2, 5
], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-1, -1], [3,
3]]]], [[5, 3, 7, 3, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
243021/1048576, 243021/1048576], [-767309/524288, -767309/524288], [-3, -3]]]]
, [[5, 3, 7, 3, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
1048576, 243021/1048576], [-767309/524288, -767309/524288], [-1163761/1048576,
-72735/65536]]]], [[5, 3, 7, 3, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-767309/
524288, -767309/524288], [0, 0]]]], [[5, 3, 7, 3, 4], [And(-1 < v,v < 0), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2
-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [243021/1048576, 243021/1048576], [-767309/524288, -\
767309/524288], [72735/65536, 1163761/1048576]]]], [[5, 3, 7, 3, 5], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-\
767309/524288, -767309/524288], [3, 3]]]], [[5, 12, 3, 1, 1], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-2, -2], [-3, -3]]]], [[5
, 12, 3, 1, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2],
[-2, -2], [-2, -2]]]], [[5, 12, 3, 1, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2
), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-2, -2], [0, 0]]]], [[5,
12, 3, 1, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -
x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [
-2, -2], [2, 2]]]], [[5, 12, 3, 1, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [3/2, 3/2], [-2, -2], [-2, -2], [3, 3]]]], [[5, 13, 7, 2, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-41/4, -41/4], [-5
, -5]]]], [[5, 13, 7, 2, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,
x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/
2], [3, 3], [1/2, 1/2], [-41/4, -41/4], [-1637089/524288, -3274177/1048576]]]]
, [[5, 13, 7, 2, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1),
y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-41/4, -41/4], [0, 0]]]], [
[5, 13, 7, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [
1/2, 1/2], [-41/4, -41/4], [3274177/1048576, 1637089/524288]]]], [[5, 13, 7, 2
, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2],
[-41/4, -41/4], [5, 5]]]], [[6, 6, 1, 5, 1], [v = 0, u = 0, x < -1, And(-1-x <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [3/2
, 3/2], [-2, -2]]]], [[6, 6, 1, 5, 2], [v = 0, u = 0, x < -1, And(-1-x < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [3/2, 3/2]
, [-1482911/2097152, -741455/1048576]]]], [[6, 6, 1, 5, 3], [v = 0, u = 0, x <
-1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [3/2, 3/2], [0, 0]]]], [[6, 6, 1, 5,
4], [v = 0, u = 0, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/
65536]]]], [[6, 6, 1, 5, 5], [v = 0, u = 0, x < -1, And(-1-x < y,y < -x), (-x-
y)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [-2, -2], [3/2, 3/2], [2, 2]]]
], [[6, 7, 9, 4, 1], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-1,
z < -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-5/4,
-5/4], [-2, -2]]]], [[6, 7, 9, 4, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x <
1), y = u^2-x-1, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1
/2, 1/2], [-5/4, -5/4], [-1816187/2097152, -3632373/4194304]]]], [[6, 7, 9, 4,
3], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-1, And(-(-u^2+1)^(1/
2) < z,z < (-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2],
[-5/4, -5/4], [-1/8388608, -1/8388608]]]], [[6, 7, 9, 4, 4], [v = 0, And(0 < u
,u < 1), And(0 < x,x < 1), y = u^2-x-1, z = (-u^2+1)^(1/2)], [regular_chain, [
[0, 0], [1/2, 1/2], [1/2, 1/2], [-5/4, -5/4], [908093/1048576, 454047/524288]]
]], [[6, 7, 9, 4, 5], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-1,
(-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-5/4, -\
5/4], [2, 2]]]], [[7, 1, 1, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-\
11, -11], [0, 0], [-5, -5]]]], [[7, 1, 1, 2, 2], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-3, -3], [-11, -11], [0, 0], [-1738867/524288, -3477733/1048576]]]], [[7, 1
, 1, 2, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, And(
-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-11,
-11], [0, 0], [0, 0]]]], [[7, 1, 1, 2, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/
2), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3,
-3], [-11, -11], [0, 0], [3477733/1048576, 1738867/524288]]]], [[7, 1, 1, 2, 5
], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, (-x)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [0, 0], [5, 5]]]], [[7,
2, 3, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x
-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2],
[-2, -2], [-1/2, -1/2], [-3, -3]]]], [[7, 2, 3, 3, 2], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-1/2, -1/2], [-3315889/
2097152, -207243/131072]]]], [[7, 2, 3, 3, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-1/2, -1/2]
, [0, 0]]]], [[7, 2, 3, 3, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [
[7, 2, 3, 3, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), 
And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[7, 8, 4, 1, 1], [And(0 < v,v < 1), u
= v, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2],
[0, 0], [-2, -2], [-3, -3]]]], [[7, 8, 4, 1, 2], [And(0 < v,v < 1), u = v, x =
0, y < -1, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0],
[-2, -2], [-1482911/1048576, -741455/524288]]]], [[7, 8, 4, 1, 3], [And(0 < v,
v < 1), u = v, x = 0, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2, -2], [0, 0]]]], [[7, 8, 4
, 1, 4], [And(0 < v,v < 1), u = v, x = 0, y < -1, z = (-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2, -2], [741455/524288, 
1482911/1048576]]]], [[7, 8, 4, 1, 5], [And(0 < v,v < 1), u = v, x = 0, y < -1
, (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [0, 0], [-2, -2],
[3, 3]]]], [[7, 9, 11, 1, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)),
1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [-5, -5], [-3, -3]]]], [[7, 9, 11,
1, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-\
1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[7, 9, 
11, 1, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^
2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]
]]], [[7, 9, 11, 1, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x
, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]
]], [[7, 9, 11, 1, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x,
y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [-5, -5], [3, 3]]]], [[7, 10, 7, 6, 1], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [0,
0], [0, 0]]]], [[7, 12, 1, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3
, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [4, 4], [
-1, -1]]]], [[7, 12, 1, 6, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y
= -x, z = 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [4, 4], [0, 0
]]]], [[7, 12, 1, 6, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y = -x,
0 < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [4, 4], [1, 1]]]],
[[8, 4, 5, 4, 1], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1
/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2
], [0, 0], [-2, -2]]]], [[8, 4, 5, 4, 2], [v = 1, u = -2^(1/2), And(-1 < x,x <
0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]],
[[8, 4, 5, 4, 3], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[8, 4, 5, 4, 4], [v = 1, u = -2^(1/
2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [741455/1048576, 46341
/65536]]]], [[8, 4, 5, 4, 5], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y = 0,
(-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[-1/2, -1/2], [0, 0], [2, 2]]]], [[8, 5, 11, 1, 1], [v = 1, And(-2^(1/2) < u,u
< -1), 1 < x, y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[8, 5, 11,
1, 2], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y < -u^2-x, z = -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-5,
-5], [-1816187/1048576, -3632373/2097152]]]], [[8, 5, 11, 1, 3], [v = 1, And(-
2^(1/2) < u,u < -1), 1 < x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-5
, -5], [-1/4194304, -1/4194304]]]], [[8, 5, 11, 1, 4], [v = 1, And(-2^(1/2) <
u,u < -1), 1 < x, y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[8, 5, 11, 1, 5], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y < -
u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743
/1048576], [2, 2], [-5, -5], [3, 3]]]], [[8, 10, 7, 7, 1], [v = 1, u = 1, 1 <
x, 0 < y, z = z], [regular_chain, [[1, 1], [1, 1], [2, 2], [1, 1], [0, 0]]]],
[[8, 12, 4, 2, 1], [v = 1, u = 2^(1/2), x = -1, y = -1, z < -2^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1],
[-3, -3]]]], [[8, 12, 4, 2, 2], [v = 1, u = 2^(1/2), x = -1, y = -1, z = -2^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-1
, -1], [-1482911/1048576, -741455/524288]]]], [[8, 12, 4, 2, 3], [v = 1, u = 2
^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1
], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[8, 12, 4
, 2, 4], [v = 1, u = 2^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[
1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [741455/524288, 
1482911/1048576]]]], [[8, 12, 4, 2, 5], [v = 1, u = 2^(1/2), x = -1, y = -1, 2
^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -\
1], [-1, -1], [3, 3]]]], [[9, 2, 8, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+
2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-4, -4], [-3,
-3]]]], [[9, 2, 8, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1,
y = -4, z = -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 2, 8, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-4,
-4], [-1/4194304, -1/4194304]]]], [[9, 2, 8, 2, 4], [And(1 < v,v < 2^(1/2)), u
= -(v^2+2)^(1/2), x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-4,
-4], [908093/524288, 1816187/1048576]]]], [[9, 2, 8, 2, 5], [And(1 < v,v < 2^(
1/2)), u = -(v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1
], [-4, -4], [3, 3]]]], [[9, 4, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1
)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-3, -3], [4, 4], [0, 0]]]], [[9
, 13, 1, 3, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^
2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [401729/524288, 401729/524288], [-3, -3]]]], [[9, 13, 1, 3, 2], [And(1 < v,
v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2
+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [401729/524288, 401729
/524288], [-1567179/1048576, -783589/524288]]]], [[9, 13, 1, 3, 3], [And(1 < v
,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^
2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [401729/524288, 401729/524288], [0, 0]]]], [[9, 13, 1, 3, 4], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v
^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [1454701/1048576, 1454701/1048576], [-3, -3], [401729/524288, 401729/524288
], [783589/524288, 1567179/1048576]]]], [[9, 13, 1, 3, 5], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3, -3], [401729/524288, 401729/524288], [
3, 3]]]], [[9, 14, 4, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -\
1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [1/2, 1/2], [-2,
-2]]]], [[9, 14, 4, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1,
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [1/2, 1/2], [-\
1482911/2097152, -741455/1048576]]]], [[9, 14, 4, 5, 3], [And(1 < v,v < 2^(1/2
)), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-1, -1], [1/2, 1/2], [0, 0]]]], [[9, 14, 4, 5, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576
, 410915/262144], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[9,
14, 4, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, And(0 < y,y
< 1), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 2, 8,
5, 1], [v = 2^(1/2), u = -2, x = 1, And(-1 < y,y < 0), z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1/2, -1/2], [0, 0]]]],
[[10, 4, 2, 3, 1], [v = 2^(1/2), u = -3^(1/2), x = -2, And(0 < y,y < 2), z < -
(2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-2, -2], [1, 1], [-2, -2]]]], [[10, 4, 2, 3, 2],
[v = 2^(1/2), u = -3^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-2, -2], [1, 1], [-1, -1]]]], [[10, 4, 2, 3, 3], [v = 2^(1/2), u =
-3^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-2, -2], [1, 1], [0, 0]]]], [[10, 4, 2, 3, 4], [v = 2^(1/2), u = -3
^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2, -2], [1,
1], [1, 1]]]], [[10, 4, 2, 3, 5], [v = 2^(1/2), u = -3^(1/2), x = -2, And(0 <
y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [2, 2]]]], [[10, 9, 1,
4, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = u^2-x-3, z < -(-u^2+3)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4,
-4], [5/4, 5/4], [-3, -3]]]], [[10, 9, 1, 4, 2], [v = 2^(1/2), And(-1 < u,u <
0), x < u^2-3, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [5/4, 5/4], [-1738867/
1048576, -3477733/2097152]]]], [[10, 9, 1, 4, 3], [v = 2^(1/2), And(-1 < u,u <
0), x < u^2-3, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [5/4
, 5/4], [-1/4194304, -1/4194304]]]], [[10, 9, 1, 4, 4], [v = 2^(1/2), And(-1 <
u,u < 0), x < u^2-3, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [5/4, 5/4], [869433/
524288, 1738867/1048576]]]], [[10, 9, 1, 4, 5], [v = 2^(1/2), And(-1 < u,u < 0
), x < u^2-3, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [5/4, 5/4], [3, 3]]]], [[10,
10, 3, 9, 1], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), 1-x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [4, 4], [0
, 0]]]], [[10, 16, 4, 1, 1], [v = 2^(1/2), u = 3^(1/2), x = -1, y < -1, z < -(
1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288
, 1816187/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[10, 16, 4, 1, 2], [v =
2^(1/2), u = 3^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [
-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[10, 16, 4, 1, 3], [v = 2^(
1/2), u = 3^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[10, 16, 4, 1, 4],
[v = 2^(1/2), u = 3^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1],
[-2, -2], [908093/524288, 1816187/1048576]]]], [[10, 16, 4, 1, 5], [v = 2^(1/2
), u = 3^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [-2, -2]
, [3, 3]]]], [[10, 17, 9, 9, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2
-3 < x,x < 1), 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [1, 1],
[0, 0]]]], [[10, 18, 4, 7, 1], [v = 2^(1/2), u = 2, x = -1, And(1 < y,y < 2),
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [
3/2, 3/2], [0, 0]]]], [[10, 19, 9, 3, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u
^2-3), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-15/2, -15/2], [-3, -3]]]], [[
10, 19, 9, 3, 2], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3, 3], [7/2, 7/2], [-15/2, -15/2], [-2, -2]]]], [[10, 19, 9, 3, 3], [v = 2^
(1/2), 2 < u, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [7/2, 7/2], [-15/2, -15/2], [0, 0]]]], [[10, 19, 9, 3, 4], [v = 2^(1/2)
, 2 < u, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-15/2,
-15/2], [2, 2]]]], [[10, 19, 9, 3, 5], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-\
3), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-15/2, -15/2], [3, 3]]]], [[11,
6, 4, 1, 1], [2^(1/2) < v, u = -v, x = 0, y < -1, z < -(-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [-2, -2], [-3, -3]]]], [[11, 6, 4, 1
, 2], [2^(1/2) < v, u = -v, x = 0, y < -1, z = -(-y)^(1/2)], [regular_chain, [
[3, 3], [-3, -3], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[
11, 6, 4, 1, 3], [2^(1/2) < v, u = -v, x = 0, y < -1, And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-2, -2], [0, 0]]]],
[[11, 6, 4, 1, 4], [2^(1/2) < v, u = -v, x = 0, y < -1, z = (-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [-2, -2], [741455/524288, 1482911/
1048576]]]], [[11, 6, 4, 1, 5], [2^(1/2) < v, u = -v, x = 0, y < -1, (-y)^(1/2
) < z], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-2, -2], [3, 3]]]], [[11,
7, 11, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^
2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [-2,
-2]]]], [[11, 7, 11, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 <
x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [2, 2], [-4710875/2097152, -4710875/
2097152], [-16263/32768, -520415/1048576]]]], [[11, 7, 11, 5, 3], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [0, 0]]]], [[
11, 7, 11, 5, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^
2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [
520415/1048576, 16263/32768]]]], [[11, 7, 11, 5, 5], [2^(1/2) < v, And(-v < u,
u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-\
4710875/2097152, -4710875/2097152], [2, 2]]]], [[11, 12, 3, 1, 1], [2^(1/2) <
v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [-2, -2], [-3
, -3]]]], [[11, 12, 3, 1, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x <
-1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-2, -2], [-2, -2], [-2, -2]]]], [[11, 12, 3, 1, 3], [2^(1/2) < v
, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2
], [-2, -2], [0, 0]]]], [[11, 12, 3, 1, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), 
And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-2, -2], [-2, -2], [2, 2]]]], [[11, 12, 3, 1, 5
], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [-2, -\
2], [3, 3]]]], [[11, 13, 7, 6, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^
2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = 0, z = z], [regular_chain, [[3, 3]
, [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [0, 0], [0
, 0]]]], [[11, 19, 9, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-8363633/4194304, -8363633/4194304], [-3, -3]]]],
[[11, 19, 9, 3, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [-8363633/4194304, -8363633/4194304], [-1170947/1048576, -\
585473/524288]]]], [[11, 19, 9, 3, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [1566621/2097152, 1566621/2097152], [-8363633/4194304, -\
8363633/4194304], [0, 0]]]], [[11, 19, 9, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [1566621/2097152, 1566621/2097152], [-8363633/4194304, -8363633/
4194304], [585473/524288, 1170947/1048576]]]], [[11, 19, 9, 3, 5], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-8363633/
4194304, -8363633/4194304], [3, 3]]]], [[11, 21, 2, 6, 1], [2^(1/2) < v, (v^2+
2)^(1/2) < u, x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [regular_chain, [[3, 3]
, [5, 5], [-17, -17], [32, 32], [0, 0]]]], [[1, 4, 9, 5, 1], [v < -2^(1/2), u
= -(v^2+1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [2, 2], [-1, -1], [0, 0]]]], [[1, 6, 3, 3,
1], [v < -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^
(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4], [-2,
-2]]]], [[1, 6, 3, 3, 2], [v < -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x <
y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2
], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]], [[1, 6, 3, 3, 3], [v
< -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-1/4
, -1/4], [-1/8388608, -1/8388608]]]], [[1, 6, 3, 3, 4], [v < -2^(1/2), u = v,
And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [-3, -3], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]
]], [[1, 6, 3, 3, 5], [v < -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-\
1/4, -1/4], [2, 2]]]], [[1, 12, 2, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x
= -3, 4 < y, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096],
[-3, -3], [5, 5], [0, 0]]]], [[1, 13, 7, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/524288, 133259/524288], [-4, -4], [-3, -3]]]], [[1, 13, 7, 1, 2], [v <
-2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1),
y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [133259/524288, 133259/524288], [-4, -4], [-16235433/
8388608, -2029429/1048576]]]], [[1, 13, 7, 1, 3], [v < -2^(1/2), And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [133259/524288, 133259/524288], [-4, -4], [0, 0]]]],
[[1, 13, 7, 1, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [
-4, -4], [2029429/1048576, 1014715/524288]]]], [[1, 13, 7, 1, 5], [v < -2^(1/2
), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^
2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [133259/524288, 133259/524288], [-4, -4], [3, 3]]]], [[1, 18,
3, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-\
3/2, -3/2], [-2, -2], [-3, -3]]]], [[1, 18, 3, 1, 2], [v < -2^(1/2), u = (v^2+
1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-2, -2], [-7846825/
4194304, -980853/524288]]]], [[1, 18, 3, 1, 3], [v < -2^(1/2), u = (v^2+1)^(1/
2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-2,
-2], [0, 0]]]], [[1, 18, 3, 1, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 <
x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/
1048576]]]], [[1, 18, 3, 1, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x
< -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[1, 19, 8, 5, 1], [v < -
2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2
+1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [129511/262144, 518045/1048576], [-129511/524288, -129511/524288], [
0, 0]]]], [[2, 4, 1, 1, 1], [v = -2^(1/2), u = -3^(1/2), x < -2, y < 0, z < -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[2, 4, 1, 1, 2],
[v = -2^(1/2), u = -3^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [
-3, -3], [-1, -1], [-2, -2]]]], [[2, 4, 1, 1, 3], [v = -2^(1/2), u = -3^(1/2),
x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3, -\
3], [-1, -1], [0, 0]]]], [[2, 4, 1, 1, 4], [v = -2^(1/2), u = -3^(1/2), x < -2
, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1, -1], [2, 2]]]], [[2, 4
, 1, 1, 5], [v = -2^(1/2), u = -3^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[2, 5, 7, 2, 1], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-635499/524288, -\
1270997/1048576], [-3, -3]]]], [[2, 5, 7, 2, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(u^2-3 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [-635499/524288, -\
1270997/1048576], [-636691/524288, -1273381/1048576]]]], [[2, 5, 7, 2, 3], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = -u^2-x+1, And(-
(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [-635499/524288, -1270997/1048576], [0, 0]]]], [[2, 5, 7, 2,
4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = -u^2-x+1
, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-\
635499/524288, -1270997/1048576], [1273381/1048576, 636691/524288]]]], [[2, 5,
7, 2, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = -u
^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304],
[-635499/524288, -1270997/1048576], [3, 3]]]], [[2, 6, 2, 5, 1], [v = -2^(1/2)
, u = v, x = -1, 1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [0, 0]]]], [[2,
7, 10, 2, 1], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = u^2-4, z < -(-u^2+3
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1, 1], [-5332835/2097152, -2666417/1048576], [-3,
-3]]]], [[2, 7, 10, 2, 2], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = u^2-4,
z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-5332835/2097152, -2666417/
1048576], [-1302471/1048576, -651235/524288]]]], [[2, 7, 10, 2, 3], [v = -2^(1
/2), And(v < u,u < -1), x = 1, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [1, 1], [-5332835/2097152, -2666417/1048576], [0,
0]]]], [[2, 7, 10, 2, 4], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = u^2-4,
z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-5332835/2097152, -2666417/
1048576], [651235/524288, 1302471/1048576]]]], [[2, 7, 10, 2, 5], [v = -2^(1/2
), And(v < u,u < -1), x = 1, y = u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1,
1], [-5332835/2097152, -2666417/1048576], [3, 3]]]], [[2, 13, 8, 5, 1], [v = -
2^(1/2), And(1 < u,u < -v), x = 0, And(-u^2+1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [0, 0], [-239655/1048576, -239655/1048576], [-2, -2]]]], [[2, 13, 8,
5, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(-u^2+1 < y,y < 0), z = -(-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576], [-\
501295/1048576, -250647/524288]]]], [[2, 13, 8, 5, 3], [v = -2^(1/2), And(1 <
u,u < -v), x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [0, 0], [-239655/1048576, -239655/1048576], [0, 0]]]], [[2, 13, 8,
5, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(-u^2+1 < y,y < 0), z = (-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576], [250647
/524288, 501295/1048576]]]], [[2, 13, 8, 5, 5], [v = -2^(1/2), And(1 < u,u < -
v), x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0], [-239655
/1048576, -239655/1048576], [2, 2]]]], [[2, 15, 5, 2, 1], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = -u^2-x+1, z < -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-3198693/4194304, -3198693/4194304], [-1493417/2097152, -186677/
262144], [-3, -3]]]], [[2, 15, 5, 2, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), And(-1 < x,x < u^2-3), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [-1493417/2097152, -186677/262144], [-\
1273381/1048576, -318345/262144]]]], [[2, 15, 5, 2, 3], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,
z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-\
1493417/2097152, -186677/262144], [0, 0]]]], [[2, 15, 5, 2, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [-1493417/2097152, -\
186677/262144], [318345/262144, 1273381/1048576]]]], [[2, 15, 5, 2, 5], [v = -
2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = -u^2-x+1, (u^2-1)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-1493417/
2097152, -186677/262144], [3, 3]]]], [[2, 19, 8, 2, 1], [v = -2^(1/2), 2 < u,
x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1, 1], [-9, -9], [-4, -4]]]], [[2, 19, 8, 2, 2], [v =
-2^(1/2), 2 < u, x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [-9, -9], [-2965821/1048576,
-11863283/4194304]]]], [[2, 19, 8, 2, 3], [v = -2^(1/2), 2 < u, x = 1, y = -u^
2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [1, 1], [-9, -9], [-3/8388608, -3/8388608]]]
], [[2, 19, 8, 2, 4], [v = -2^(1/2), 2 < u, x = 1, y = -u^2, z = (u^2-1)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [-9, -\
9], [741455/262144, 2965821/1048576]]]], [[2, 19, 8, 2, 5], [v = -2^(1/2), 2 <
u, x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1, 1], [-9, -9], [4, 4]]]], [[3, 1, 10, 1, 1], [And(-
2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z <
-(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [6860721/1048576, 3430361/524288], [-17, -17], [-5, -5]]]], [[3, 1,
10, 1, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -\
2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-17, -17], [-\
847707/262144, -3390827/1048576]]]], [[3, 1, 10, 1, 3], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^
(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-17, -17], [0,
0]]]], [[3, 1, 10, 1, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u
^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288
], [-17, -17], [3390827/1048576, 847707/262144]]]], [[3, 1, 10, 1, 5], [And(-2
^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2
+v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [6860721/1048576, 3430361/524288], [-17, -17], [5, 5]]]], [[3, 7, 10,
4, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u
^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1498947/
1048576, -749473/524288], [-2, -2]]]], [[3, 7, 10, 4, 2], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [-\
1374407/2097152, -687203/1048576]]]], [[3, 7, 10, 4, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1498947/1048576, -\
749473/524288], [0, 0]]]], [[3, 7, 10, 4, 4], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [687203/1048576,
171801/262144]]]], [[3, 7, 10, 4, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[1, 1], [-1498947/1048576, -749473/524288], [2, 2]]]], [[3, 9, 5, 3, 1], [And(
-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x
< 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-32834795/33554432,
-32834795/33554432], [-3, -3]]]], [[3, 9, 5, 3, 2], [And(-2^(1/2) < v,v < -1),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [-32834795/33554432, -32834795/33554432], [-\
1275025/1048576, -79689/65536]]]], [[3, 9, 5, 3, 3], [And(-2^(1/2) < v,v < -1)
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-\
1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-32834795/33554432,
-32834795/33554432], [0, 0]]]], [[3, 9, 5, 3, 4], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [-32834795/33554432, -32834795/33554432], [
79689/65536, 1275025/1048576]]]], [[3, 9, 5, 3, 5], [And(-2^(1/2) < v,v < -1),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [-32834795/33554432, -32834795/33554432], [3,
3]]]], [[3, 17, 8, 6, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1,
y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[1, 1], [0, 0], [0, 0]]]], [[4, 1, 10, 5, 1], [v = -1, u < -3^(1/2), x = u^2-2
, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-3, -3], [7, 7],
[-7/2, -7/2], [0, 0]]]], [[4, 7, 10, 6, 1], [v = -1, And(-1 < u,u < 0), x = 1,
y = -1, z < 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-1, -1], [-1
, -1]]]], [[4, 7, 10, 6, 2], [v = -1, And(-1 < u,u < 0), x = 1, y = -1, z = 0]
, [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]]]], [[4, 7
, 10, 6, 3], [v = -1, And(-1 < u,u < 0), x = 1, y = -1, 0 < z], [regular_chain
, [[-1, -1], [-1/2, -1/2], [1, 1], [-1, -1], [1, 1]]]], [[4, 9, 5, 5, 1], [v =
-1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), z < -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3/16, 3/16], [-\
2, -2]]]], [[4, 9, 5, 5, 2], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2),
And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/
2], [-5/8, -5/8], [3/16, 3/16], [-10837/16384, -1387135/2097152]]]], [[4, 9, 5
, 5, 3], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2,
1/2], [-5/8, -5/8], [3/16, 3/16], [-1/4194304, -1/4194304]]]], [[4, 9, 5, 5, 4
], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), z =
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3/16, 3/
16], [693567/1048576, 10837/16384]]]], [[4, 9, 5, 5, 5], [v = -1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [3/16, 3/16], [2, 2]]]], [
[4, 14, 1, 3, 1], [v = -1, u = 3^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-
y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -\
4], [1/2, 1/2], [-3, -3]]]], [[4, 14, 1, 3, 2], [v = -1, u = 3^(1/2), x < -3,
And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/
524288]]]], [[4, 14, 1, 3, 3], [v = -1, u = 3^(1/2), x < -3, And(0 < y,y < -x-\
3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-4, -4], [1/2, 1/2], [0, 0]]]], [[4, 14, 1,
3, 4], [v = -1, u = 3^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [1/2, 1/
2], [980853/524288, 1961707/1048576]]]], [[4, 14, 1, 3, 5], [v = -1, u = 3^(1/
2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[4, 15, 5,
4, 1], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4, 15,
5, 4, 2], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[4, 15, 5, 4, 3], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [3,
3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 15, 5, 4, 4], [v = -1, 3^(1/2) < u,
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[4, 15, 5, 4, 5], [v
= -1, 3^(1/2) < u, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-1, -1], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[5, 5, 10, 7, 1], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1/2, -1/2], [0, 0]]]], [[5, 7, 7, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v)
, And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [-2, -2]]]],
[[5, 7, 7, 4, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [0, 0], [-3/8, -3/8], [-3/8, -3/8], [-1816187/2097152, -3632373/4194304]]]],
[[5, 7, 7, 4, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [-1/8388608,
-1/8388608]]]], [[5, 7, 7, 4, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-
u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [908093/1048576, 454047/
524288]]]], [[5, 7, 7, 4, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+
v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [2, 2]]]], [[5, 8, 3, 4, 1],
[And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2]]]], [
[5, 8, 3, 4, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[5, 8, 3, 4, 3], [And(-1 < v,v < 0), u
= -v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0]]]], [[5
, 8, 3, 4, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y = 0, z = (-x)^
(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[5, 8, 3, 4, 5], [And(-1 < v,v < 0), u = -v,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2
, 1/2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[5, 9, 10, 6, 1], [And(-1 < v,v < 0)
, And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-1, -1], [-1, -1]]]], [[
5, 9, 10, 6, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y =
-1, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[1, 1], [-1, -1], [0, 0]]]], [[5, 9, 10, 6, 3], [And(-1 < v,v < 0), And(-v < u
,u < (v^2+1)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [1, 1], [-1, -1], [1, 1]]]], [[6, 2, 4, 7,
1], [v = 0, u = -2^(1/2), x = -1, And(1 < y,y < 2), z = z], [regular_chain, [[
0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [3/2, 3/2], [0, 0]]]], [[
6, 3, 9, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y < -u
^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [1527887/2097152, 1527887/2097152], [-5, -5], [-4, -4]]]], [
[6, 3, 9, 1, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y < -
u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [1527887/2097152, 1527887/2097152], [-5, -5], [-2167143/
1048576, -1083571/524288]]]], [[6, 3, 9, 1, 3], [v = 0, And(-2^(1/2) < u,u < -\
1), And(u^2-1 < x,x < 1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/
2097152, 1527887/2097152], [-5, -5], [0, 0]]]], [[6, 3, 9, 1, 4], [v = 0, And(
-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y < -u^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152
, 1527887/2097152], [-5, -5], [1083571/524288, 2167143/1048576]]]], [[6, 3, 9,
1, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y < -u^2-x-1, (
-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576
], [1527887/2097152, 1527887/2097152], [-5, -5], [4, 4]]]], [[6, 8, 5, 5, 1],
[v = 0, u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[6, 8,
5, 5, 2], [v = 0, u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]
], [[6, 8, 5, 5, 3], [v = 0, u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-1/2,
-1/2], [1/4, 1/4], [0, 0]]]], [[6, 8, 5, 5, 4], [v = 0, u = 1, And(-1 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1
/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 8, 5, 5, 5], [v = 0, u = 1, And(-1
< x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1,
1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[6, 9, 10, 7, 1], [v = 0, And(1 < u,
u < 2^(1/2)), x = 1, And(u^2-2 < y,y < 0), z = z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1, 1], [-569265/2097152, -569265/2097152],
[0, 0]]]], [[7, 4, 3, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x
,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[7
, 4, 3, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(
0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 4, 3, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/
2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[7, 4, 3, 5, 4], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3
/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[7, 4, 3, 5, 5], [And(0
< v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [
-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[7, 5, 9, 2, 1], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
1/2, 1/2], [-3994043/2097152, -15976171/8388608], [-3, -3]]]], [[7, 5, 9, 2, 2
], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u
^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608],
[-19417/16384, -1242687/1048576]]]], [[7, 5, 9, 2, 3], [And(0 < v,v < 1), And(
-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608],
[0, 0]]]], [[7, 5, 9, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-3994043/
2097152, -15976171/8388608], [1242687/1048576, 19417/16384]]]], [[7, 5, 9, 2,
5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -
u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608],
[3, 3]]]], [[8, 1, 2, 6, 1], [v = 1, u < -3^(1/2), x = -u^2, y = 2*u^2-2, z =
z], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [16, 16], [0, 0]]]], [[8, 2,
5, 2, 1], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-\
5/2, -5/2], [-3, -3]]]], [[8, 2, 5, 2, 2], [v = 1, u = -3^(1/2), And(-1 < x,x
< 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/
2097152]]]], [[8, 2, 5, 2, 3], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y = -x
-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576
, -3632373/2097152], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]],
[[8, 2, 5, 2, 4], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/
2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/
2], [-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[8, 2, 5, 2, 5], [v =
1, u = -3^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[
1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-5/2, -5/2], [3, 3
]]]], [[8, 8, 5, 7, 1], [v = 1, u = 0, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [2, 2], [0, 0]]]], [[8, 9, 11, 4
, 1], [v = 1, And(0 < u,u < 1), 1 < x, y = -u^2-x, z < -u], [regular_chain, [[
1, 1], [1/2, 1/2], [2, 2], [-9/4, -9/4], [-2, -2]]]], [[8, 9, 11, 4, 2], [v =
1, And(0 < u,u < 1), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[1, 1], [1/2
, 1/2], [2, 2], [-9/4, -9/4], [-1/2, -1/2]]]], [[8, 9, 11, 4, 3], [v = 1, And(
0 < u,u < 1), 1 < x, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1],
[1/2, 1/2], [2, 2], [-9/4, -9/4], [0, 0]]]], [[8, 9, 11, 4, 4], [v = 1, And(0
< u,u < 1), 1 < x, y = -u^2-x, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [2
, 2], [-9/4, -9/4], [1/2, 1/2]]]], [[8, 9, 11, 4, 5], [v = 1, And(0 < u,u < 1)
, 1 < x, y = -u^2-x, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-9/
4, -9/4], [2, 2]]]], [[8, 14, 6, 3, 1], [v = 1, u = 3^(1/2), x = 0, And(-3 < y
,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[8, 14, 6, 3, 2], [v = 1, u = 3^
(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [0, 0], [-3/2, -3/2], [-1284239/1048576, -\
642119/524288]]]], [[8, 14, 6, 3, 3], [v = 1, u = 3^(1/2), x = 0, And(-3 < y,y
< 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [0, 0], [-3/2, -3/2], [0, 0]]]], [[8, 14, 6, 3, 4],
[v = 1, u = 3^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain
, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [-3/2, -3/2], [642119/
524288, 1284239/1048576]]]], [[8, 14, 6, 3, 5], [v = 1, u = 3^(1/2), x = 0, 
And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [0, 0], [-3/2, -3/2], [3, 3]]]], [[8, 15, 11, 1, 1], [v = 1,
3^(1/2) < u, u^2-2 < x, y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1
], [3, 3], [8, 8], [-18, -18], [-5, -5]]]], [[8, 15, 11, 1, 2], [v = 1, 3^(1/2
) < u, u^2-2 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3,
3], [8, 8], [-18, -18], [-3315889/1048576, -207243/65536]]]], [[8, 15, 11, 1,
3], [v = 1, 3^(1/2) < u, u^2-2 < x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1, 1], [3, 3], [8, 8], [-18, -18], [0, 0]]]], [[
8, 15, 11, 1, 4], [v = 1, 3^(1/2) < u, u^2-2 < x, y < -u^2-x, z = (-x-y)^(1/2)
], [regular_chain, [[1, 1], [3, 3], [8, 8], [-18, -18], [207243/65536, 3315889
/1048576]]]], [[8, 15, 11, 1, 5], [v = 1, 3^(1/2) < u, u^2-2 < x, y < -u^2-x,
(-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [8, 8], [-18, -18], [5, 5]
]]], [[9, 6, 6, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(-2 < y,y <
-1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1265743/1048576, -1265743/1048576], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[9,
6, 6, 3, 2], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(-2 < y,y < -1), z = -
(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/
1048576]]]], [[9, 6, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, And(-2
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-3/2, -3/2], [0, 0]]]], [[9, 6, 6, 3, 4], [And(1 < v,v < 2^(1/2)), u = -v,
x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-3/2
, -3/2], [741455/1048576, 46341/65536]]]], [[9, 6, 6, 3, 5], [And(1 < v,v < 2^
(1/2)), u = -v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [-3/2, -3/2], [2, 2]]]], [[9, 8, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2
], [1, 1], [-2, -2]]]], [[9, 8, 2, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2
], [1, 1], [-1, -1]]]], [[9, 8, 2, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-2, -2], [1, 1], [0, 0]]]], [[9, 8, 2, 3, 4], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-2, -2], [1, 1], [1, 1]]]], [[9, 8, 2, 3, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-2, -2], [1, 1], [2, 2]]]], [[9, 8, 9, 7, 1], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [1, 1],
[0, 0]]]], [[9, 10, 4, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x =
-1, y = -1, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [354469/524288, 708939/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[9, 10, 4
, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y = -1, z = -2^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[
9, 10, 4, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y = -1, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[9,
10, 4, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y = -1, z =
2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288,
708939/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[9,
10, 4, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y = -1, 2^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288,
708939/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[9, 16, 4, 9, 1], [And(1 < v,
v < 2^(1/2)), u = (v^2+2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[3, 3], [0, 0]]]], [[9, 17, 9, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) <
u, And(1 < x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152],
[-7909297/4194304, -7909297/4194304], [0, 0]]]], [[10, 5, 1, 1, 1], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[10, 5, 1, 1, 2], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x < -u^2+1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [-1, -1], [-2, -2]]]], [[10, 5, 1, 1, 3], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-3, -3], [-1, -1], [0, 0]]]], [[10, 5, 1, 1, 4], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [-1, -1], [2, 2]]]], [[10, 5, 1, 1, 5], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), x < -u^2+1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3
], [-1, -1], [3, 3]]]], [[10, 6, 4, 3, 1], [v = 2^(1/2), u = -v, x = 0, And(-1
< y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[10
, 6, 4, 3, 2], [v = 2^(1/2), u = -v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [0, 0], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]],
[[10, 6, 4, 3, 3], [v = 2^(1/2), u = -v, x = 0, And(-1 < y,y < 0), And(-(-y)^(
1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [0, 0]]]], [[10, 6,
4, 3, 4], [v = 2^(1/2), u = -v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[10, 6, 4, 3
, 5], [v = 2^(1/2), u = -v, x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [-1/2, -1/2], [2, 2]]]], [[10, 12, 3, 7, 1], [v = 2^(1/2), u
= 1, And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3/2, -3/2], [3, 3], [0, 0]]]], [[10, 13, 9, 8, 1],
[v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 2, 8, 5, 1], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 4, 2
, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y
)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2]
, [1, 1], [-2, -2]]]], [[11, 4, 2, 3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x
= -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-2, -2], [1, 1], [-1, -1]]]], [[11, 4, 2, 3, 3], [2^
(1/2) < v, u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,
z < (2-y)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[-2, -2], [1, 1], [0, 0]]]], [[11, 4, 2, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/
2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-2, -2], [1, 1], [1, 1]]]], [[11, 4, 2, 3, 5
], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z
], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [1, 1
], [2, 2]]]], [[11, 10, 3, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x
,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[11, 10, 3
, 5, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-2, -2], [1, 1], [-1, -1]]]], [[11, 10, 3, 5, 3], [2^(1/2) < v, u =
-(v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576
], [-2, -2], [1, 1], [0, 0]]]], [[11, 10, 3, 5, 4], [2^(1/2) < v, u = -(v^2-2)
^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [1, 1]
, [1, 1]]]], [[11, 10, 3, 5, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,
x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [1, 1], [2, 2]]]], [[11, 11, 8,
1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y < u^2
-v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1, 1], [-12, -12
], [-5, -5]]]], [[11, 11, 8, 1, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (
v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[3,
3], [0, 0], [1, 1], [-12, -12], [-1738867/524288, -3477733/1048576]]]], [[11,
11, 8, 1, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3,
3], [0, 0], [1, 1], [-12, -12], [0, 0]]]], [[11, 11, 8, 1, 4], [2^(1/2) < v, 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, z = (-y-1)^(1
/2)], [regular_chain, [[3, 3], [0, 0], [1, 1], [-12, -12], [3477733/1048576, 
1738867/524288]]]], [[11, 11, 8, 1, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[3
, 3], [0, 0], [1, 1], [-12, -12], [5, 5]]]], [[11, 15, 10, 8, 1], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), x = 1, y = 0, z = z], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [1, 1], [0, 0], [0, 0]]]], [[11, 17, 7, 9,
1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), -x <
y, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/
4194304, -1062385/4194304], [2, 2], [0, 0]]]], [[1, 1, 4, 1, 1], [v < -2^(1/2)
, u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain,
[[-3, -3], [-5, -5], [-1, -1], [-17, -17], [-6, -6]]]], [[1, 1, 4, 1, 2], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-17, -17], [-1112183/262144, -\
4448731/1048576]]]], [[1, 1, 4, 1, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
-1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3
, -3], [-5, -5], [-1, -1], [-17, -17], [0, 0]]]], [[1, 1, 4, 1, 4], [v < -2^(1
/2), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-17, -17], [4448731/1048576, 
1112183/262144]]]], [[1, 1, 4, 1, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -\
1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1, -\
1], [-17, -17], [6, 6]]]], [[1, 2, 5, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2)
, And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 8, 7, 6, 1],
[v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [
0, 0], [0, 0]]]], [[1, 10, 1, 2, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[1, 10, 1, 2, 2], [v < -2^(1
/2), u = -(v^2-2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[
1, 10, 1, 2, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-4, -4], [0, 0], [0, 0]]]], [[1, 10, 1, 2, 4], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -\
3], [-5548543/2097152, -2774271/1048576], [-4, -4], [0, 0], [2, 2]]]], [[1, 10
, 1, 2, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [0,
0], [3, 3]]]], [[1, 14, 2, 4, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, y
= 2, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2,
-2], [2, 2], [-1, -1]]]], [[1, 14, 2, 4, 2], [v < -2^(1/2), u = (v^2-1)^(1/2),
x = -2, y = 2, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-2, -2], [2, 2], [0, 0]]]], [[1, 14, 2, 4, 3], [v < -2^(1/2), u = (
v^2-1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [-2, -2], [2, 2], [1, 1]]]], [[1, 15, 8, 3, 1], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1),
z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152
], [0, 0], [-1, -1], [-2, -2]]]], [[1, 15, 8, 3, 2], [v < -2^(1/2), And((v^2-1
)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = -(-y)^(1/2)
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-1,
-1], [-1, -1]]]], [[1, 15, 8, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u <
-v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1
/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0],
[-1, -1], [0, 0]]]], [[1, 15, 8, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-1, -1]
, [1, 1]]]], [[1, 15, 8, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) < z], [regular_chain, [[-\
3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-1, -1], [2, 2]]]], [[1,
21, 8, 4, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, y = -1, z < 0], [
regular_chain, [[-3, -3], [5, 5], [1, 1], [-1, -1], [-1, -1]]]], [[1, 21, 8, 4
, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, y = -1, z = 0], [regular_chain,
[[-3, -3], [5, 5], [1, 1], [-1, -1], [0, 0]]]], [[1, 21, 8, 4, 3], [v < -2^(1/
2), (v^2+2)^(1/2) < u, x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [5, 5
], [1, 1], [-1, -1], [1, 1]]]], [[2, 1, 10, 3, 1], [v = -2^(1/2), u < -2, x =
u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [-10, -10], [-3, -3]]]],
[[2, 1, 10, 3, 2], [v = -2^(1/2), u < -2, x = u^2-3, And(-2*u^2+4 < y,y < -u^2
+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [6, 6], [-10, -10], [-2, -2]]]], [[2, 1, 10, 3, 3], [v = -2
^(1/2), u < -2, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2)
< z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3, -3], [6, 6], [-10, -10], [0, 0]]]], [[2, 1, 10, 3, 4], [v = -2^(1/2),
u < -2, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [-10, -\
10], [2, 2]]]], [[2, 1, 10, 3, 5], [v = -2^(1/2), u < -2, x = u^2-3, And(-2*u^
2+4 < y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3, -3], [6, 6], [-10, -10], [3, 3]]]], [[2, 10, 2, 5, 1],
[v = -2^(1/2), u = 0, x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [7/2, 7/2], [0, 0]]]], [[2
, 11, 6, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y = -u^2+1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [3/4,
3/4], [0, 0]]]], [[2, 17, 8, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x =
u^2-3, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [1, 1], [0
, 0]]]], [[2, 19, 1, 8, 1], [v = -2^(1/2), 2 < u, x < -u^2+1, y = u^2-x-3, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [15
, 15], [0, 0]]]], [[3, 3, 11, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [
0, 0], [0, 0]]]], [[3, 5, 6, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1
/2) < u,u < v), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [2, 2], [0, 0]]]], [[3, 11, 9, 1, 1], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y < u^2
-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]],
[[3, 11, 9, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 
And(0 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/
2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[3, 11, 9, 1, 3], [And(-
2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y < u^2-
v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-4,
-4], [0, 0]]]], [[3, 11, 9, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2
) < u,u < -v), And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[3, 11,
9, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,
x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-4, -4], [
3, 3]]]], [[3, 13, 5, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)
^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-3213833/4194304, -3213833/4194304], [122559/1048576, 
122559/1048576], [-2, -2]]]], [[3, 13, 5, 5, 2], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^
2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [122559/1048576, 122559/1048576], [-3379881/4194304, -422485/524288]
]]], [[3, 13, 5, 5, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [
122559/1048576, 122559/1048576], [0, 0]]]], [[3, 13, 5, 5, 4], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y
,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [122559/1048576, 122559/1048576], [422485/524288, 844971/
1048576]]]], [[3, 13, 5, 5, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [122559/
1048576, 122559/1048576], [2, 2]]]], [[3, 13, 11, 9, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2]
, [1, 1], [0, 0]]]], [[3, 15, 7, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327
/524288, 898327/524288], [501965/2097152, 501965/2097152], [-4, -4], [-3, -3]]
]], [[3, 15, 7, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-4, -4], [-32535017/16777216, -\
4066877/2097152]]]], [[3, 15, 7, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [-4, -4], [-1/4194304, -1/4194304]]]], [[3, 15, 7, 1, 4], [And(-2^(1
/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v
^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [-4, -4], [1016719/524288, 2033439/1048576]]]], [[3, 15, 7, 1, 5], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,
x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [-4, -4], [3, 3]]]], [[4, 3, 10, 4, 1], [v = -1, And
(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-1, -1],
[-6598195/4194304, -6598195/4194304], [1, 1], [-1, -1], [-1, -1]]]], [[4, 3, 
10, 4, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-1, -\
1], [0, 0]]]], [[4, 3, 10, 4, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x =
1, y = -1, 0 < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [1, 1], [-1, -1], [1, 1]]]], [[4, 5, 5, 3, 1], [v = -1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-1437931/4194304, -1437931/4194304], [-3, -3]]]],
[[4, 5, 5, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), 
And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-\
1437931/4194304, -1437931/4194304], [-553435/524288, -1106869/1048576]]]], [[4
, 5, 5, 3, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(-
u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-1437931/4194304, -1437931/4194304], [0, 0]]]], [[4, 5, 5, 3, 4], [
v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0)
, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/
4194304], [1106869/1048576, 553435/524288]]]], [[4, 5, 5, 3, 5], [v = -1, And(
-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0), (-x-y)^(1/
2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/4194304], [3,
3]]]], [[4, 10, 1, 1, 1], [v = -1, u = 1, x < -1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [-1, -1], [-3, -3]]]], [[4, 10, 1,
1, 2], [v = -1, u = 1, x < -1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1
, -1], [1, 1], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[
4, 10, 1, 1, 3], [v = -1, u = 1, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-1, -1], [-1/4194304
, -1/4194304]]]], [[4, 10, 1, 1, 4], [v = -1, u = 1, x < -1, y < 0, z = (-x-y)
^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-1, -1], [908093/524288
, 1816187/1048576]]]], [[4, 10, 1, 1, 5], [v = -1, u = 1, x < -1, y < 0, (-x-y
)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [-1, -1], [3, 3]]]]
, [[4, 11, 8, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = 0, 0 < y, z = z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1],
[0, 0]]]], [[5, 2, 3, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2,
-3/2], [-2, -2], [-2, -2], [-3, -3]]]], [[5, 2, 3, 1, 2], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-2, -2], [-2, -2]]]], [
[5, 2, 3, 1, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y
< -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2
], [-3/2, -3/2], [-2, -2], [-2, -2], [0, 0]]]], [[5, 2, 3, 1, 4], [And(-1 < v,
v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-2, -2], [2, 2]]]], [[5
, 2, 3, 1, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y <
-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2]
, [-2, -2], [3, 3]]]], [[5, 3, 7, 2, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [243021/1048576, 243021/1048576], [-5652431/2097152, -2826215/1048576
], [-3, -3]]]], [[5, 3, 7, 2, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
243021/1048576, 243021/1048576], [-5652431/2097152, -2826215/1048576], [-\
3291611/2097152, -1645805/1048576]]]], [[5, 3, 7, 2, 3], [And(-1 < v,v < 0), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2
+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/
1048576], [-5652431/2097152, -2826215/1048576], [0, 0]]]], [[5, 3, 7, 2, 4], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u
^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-\
5652431/2097152, -2826215/1048576], [1645805/1048576, 822903/524288]]]], [[5,
3, 7, 2, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
1048576, 243021/1048576], [-5652431/2097152, -2826215/1048576], [3, 3]]]], [[5
, 12, 3, 2, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y =
-x-3, z < -3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-1,
-1], [-3, -3]]]], [[5, 12, 3, 2, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 
And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1/2, -1/2], [3
/2, 3/2], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[5, 12
, 3, 2, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-\
3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2],
[-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[5, 12, 3, 2, 4], [And(-1 <
v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-1, -1], [908093/524288,
1816187/1048576]]]], [[5, 12, 3, 2, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/
2, 3/2], [-2, -2], [-1, -1], [3, 3]]]], [[5, 13, 7, 3, 1], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-43/8, -43/8], [-\
4, -4]]]], [[5, 13, 7, 3, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x
,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [3, 3], [1/2, 1/2], [-43/8, -43/8], [-1157597/524288, -2315193/
1048576]]]], [[5, 13, 7, 3, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-43/8, -43/8], [0, 0]]
]], [[5, 13, 7, 3, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1)
, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [3, 3], [1/2, 1/2], [-43/8, -43/8], [2315193/1048576, 1157597/524288]]]],
[[5, 13, 7, 3, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [3, 3], [1/2, 1/2], [-43/8, -43/8], [4, 4]]]], [[6, 6, 1, 4, 1], [v = 0, u =
0, x < -1, y = -1-x, z < -1], [regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1
], [-2, -2]]]], [[6, 6, 1, 4, 2], [v = 0, u = 0, x < -1, y = -1-x, z = -1], [
regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [-1, -1]]]], [[6, 6, 1, 4, 3
], [v = 0, u = 0, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[0, 0
], [0, 0], [-2, -2], [1, 1], [0, 0]]]], [[6, 6, 1, 4, 4], [v = 0, u = 0, x < -\
1, y = -1-x, z = 1], [regular_chain, [[0, 0], [0, 0], [-2, -2], [1, 1], [1, 1]
]]], [[6, 6, 1, 4, 5], [v = 0, u = 0, x < -1, y = -1-x, 1 < z], [regular_chain
, [[0, 0], [0, 0], [-2, -2], [1, 1], [2, 2]]]], [[6, 7, 9, 3, 1], [v = 0, And(
0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x-1 < y,y < u^2-x-1), z < -(-x-y)^(1/
2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]
], [[6, 7, 9, 3, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x-1
< y,y < u^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/
2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[6, 7, 9, 3, 3], [v = 0, And(0 < u,u < 1)
, And(0 < x,x < 1), And(-u^2-x-1 < y,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2],
[0, 0]]]], [[6, 7, 9, 3, 4], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), And(-
u^2-x-1 < y,y < u^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/
2], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[6, 7, 9, 3, 5], [v = 0, And(0 < u,u
< 1), And(0 < x,x < 1), And(-u^2-x-1 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[7,
1, 1, 3, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,
y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3],
[-11, -11], [5/8, 5/8], [-5, -5]]]], [[7, 1, 1, 3, 2], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [5/8, 5/8], [-1688745/
524288, -3377489/1048576]]]], [[7, 1, 1, 3, 3], [And(0 < v,v < 1), u < -(v^2+2
)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [5/8, 5/8
], [0, 0]]]], [[7, 1, 1, 3, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^
2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [-3, -3], [-11, -11], [5/8, 5/8], [3377489/1048576, 1688745/524288]]]]
, [[7, 1, 1, 3, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And
(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3,
-3], [-11, -11], [5/8, 5/8], [5, 5]]]], [[7, 2, 3, 4, 1], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [-3/2, -3/2], [-2, -2], [0, 0], [-3, -3]]]], [[7, 2, 3, 4, 2], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/
2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [0, 0], [-1482911/
1048576, -741455/524288]]]], [[7, 2, 3, 4, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [0, 0], [0, 0]]]], [[7, 2,
3, 4, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[7, 2, 3, 4, 5], [And(0 < v,v < 1), u = -
(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [-3/2, -3/2], [-2, -2], [0, 0], [3, 3]]]], [[7, 8, 3, 7, 1], [And(0
< v,v < 1), u = v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[1/2, 1
/2], [1/2, 1/2], [-1/2, -1/2], [2, 2], [0, 0]]]], [[7, 9, 10, 9, 1], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [1, 1], [0, 0]]]], [[
7, 10, 7, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-
x < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[7, 12, 1, 5, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[7
, 12, 1, 5, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [5
/2, 5/2], [-1284239/1048576, -642119/524288]]]], [[7, 12, 1, 5, 3], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [5/2,
5/2], [0, 0]]]], [[7, 12, 1, 5, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x <
-3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2
, 3/2], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[7, 12, 1,
5, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [5/2, 5/2],
[3, 3]]]], [[8, 4, 5, 5, 1], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8, 4, 5, 5, 2], [v =
1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/4
, 1/4], [-1/2, -1/2]]]], [[8, 4, 5, 5, 3], [v = 1, u = -2^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/4
, 1/4], [0, 0]]]], [[8, 4, 5, 5, 4], [v = 1, u = -2^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[8, 4, 5,
5, 5], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1
/2], [1/4, 1/4], [2, 2]]]], [[8, 5, 11, 2, 1], [v = 1, And(-2^(1/2) < u,u < -1
), 1 < x, y = -u^2-x, z < u], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3625039/1048576, -1812519/524288], [-3, -3]]]], [[
8, 5, 11, 2, 2], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, z = u],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
3625039/1048576, -1812519/524288], [-1265743/1048576, -1265743/1048576]]]], [[
8, 5, 11, 2, 3], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, And(u <
z,z < -u)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2,
2], [-3625039/1048576, -1812519/524288], [0, 0]]]], [[8, 5, 11, 2, 4], [v = 1,
And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [2, 2], [-3625039/1048576, -1812519/
524288], [1265743/1048576, 1265743/1048576]]]], [[8, 5, 11, 2, 5], [v = 1, And
(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-3625039/1048576, -1812519/524288
], [3, 3]]]], [[8, 10, 7, 6, 1], [v = 1, u = 1, 1 < x, y = 0, z = z], [
regular_chain, [[1, 1], [1, 1], [2, 2], [0, 0], [0, 0]]]], [[8, 12, 4, 1, 1],
[v = 1, u = 2^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[1, 1
], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 12,
4, 1, 2], [v = 1, u = 2^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2],
[-1816187/1048576, -3632373/2097152]]]], [[8, 12, 4, 1, 3], [v = 1, u = 2^(1/2
), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1
, 1], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[8, 12, 4, 1, 4], [v = 1, u = 2^(1/2), x = -1, y < -1, z = (1-y)
^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1],
[-2, -2], [908093/524288, 1816187/1048576]]]], [[8, 12, 4, 1, 5], [v = 1, u =
2^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[9, 2, 8, 3, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-
y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[9, 2, 8, 3, 2
], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z =
-(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297
/2097152, -7798593/4194304], [1, 1], [-5/2, -5/2], [-1284239/1048576, -642119/
524288]]]], [[9, 2, 8, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x =
1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [-5/2, -5/2], [0, 0]]]], [[9, 2, 8, 3, 4], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [
[9, 2, 8, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, And(-4 <
y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-5/2, -5/2], [3, 3]]]
], [[9, 4, 2, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, y <
0, z < -(2-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-2, -2], [-1, -1], [-3, -3]]]], [[9, 4, 2,
1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, y < 0, z = -(2-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144,
-3287319/2097152], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]]
, [[9, 4, 2, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, y < 0
, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [-1, -1], [-1/
4194304, -1/4194304]]]], [[9, 4, 2, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+
1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [-1, -1], [
908093/524288, 1816187/1048576]]]], [[9, 4, 2, 1, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [-1,
-1], [3, 3]]]], [[9, 13, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2
+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [0,
0], [-3, -3]]]], [[9, 13, 1, 2, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^
2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[9, 13, 1, 2, 3], [And(1
< v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, And(-(-
x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [0, 0], [-1/4194304, -\
1/4194304]]]], [[9, 13, 1, 2, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+
1)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [0, 0
], [908093/524288, 1816187/1048576]]]], [[9, 13, 1, 2, 5], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [0, 0], [3, 3]]]], [[9, 14, 4, 4, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [0, 0],
[-2, -2]]]], [[9, 14, 4, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x
= -1, y = 0, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-1, -1], [0, 0], [-1, -1]]]], [[9, 14, 4, 4,
3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z <
1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-1, -1], [0, 0], [0, 0]]]], [[9, 14, 4, 4, 4], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [0, 0],
[1, 1]]]], [[9, 14, 4, 4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x =
-1, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-1, -1], [0, 0], [2, 2]]]], [[10, 2, 8, 6, 1
], [v = 2^(1/2), u = -2, x = 1, y = 0, z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [-2, -2], [1, 1], [0, 0], [0, 0]]]], [[10, 4, 2, 4, 1], [v
= 2^(1/2), u = -3^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2, -2], [2,
2], [-1, -1]]]], [[10, 4, 2, 4, 2], [v = 2^(1/2), u = -3^(1/2), x = -2, y = 2,
z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576,
-3632373/2097152], [-2, -2], [2, 2], [0, 0]]]], [[10, 4, 2, 4, 3], [v = 2^(1/2
), u = -3^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [1,
1]]]], [[10, 9, 1, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(0 <
y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-4, -4], [5/8, 5/8], [-3, -3]]]], [[10, 9, 1, 3, 2],
[v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(0 < y,y < u^2-x-3), z = -(-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4
, -4], [5/8, 5/8], [-7705429/4194304, -1926357/1048576]]]], [[10, 9, 1, 3, 3],
[v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(0 < y,y < u^2-x-3), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-4, -4], [5/8, 5/8], [0, 0]]]], [[10, 9, 1, 3, 4], [v
= 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(0 < y,y < u^2-x-3), z = (-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4
], [5/8, 5/8], [1926357/1048576, 963179/524288]]]], [[10, 9, 1, 3, 5], [v = 2^
(1/2), And(-1 < u,u < 0), x < u^2-3, And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [
5/8, 5/8], [3, 3]]]], [[10, 10, 3, 8, 1], [v = 2^(1/2), u = 0, And(-3 < x,x <
-1), y = 1-x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [-2, -2], [3, 3], [0, 0]]]], [[10, 16, 4, 2, 1], [v = 2^(1/2), u = 3^(1/2),
x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [
[10, 16, 4, 2, 2], [v = 2^(1/2), u = 3^(1/2), x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[10, 16,
4, 2, 3], [v = 2^(1/2), u = 3^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[10, 16, 4, 2, 4], [v = 2^(1
/2), u = 3^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [-1, -1]
, [741455/524288, 1482911/1048576]]]], [[10, 16, 4, 2, 5], [v = 2^(1/2), u = 3
^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [908093/524288, 1816187/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[
10, 17, 10, 1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y < -u^2, z <
-(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [1, 1], [-5, -5], [-3, -3]]]], [[10, 17, 10, 1, 2],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y < -u^2, z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [1, 1], [-5, -5], [-2, -2]]]], [[10, 17, 10, 1, 3], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), x = 1, y < -u^2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [1, 1], [-5, -5], [0, 0]]]], [[10, 17, 10, 1, 4], [v = 2^(1/
2), And(3^(1/2) < u,u < 2), x = 1, y < -u^2, z = (-y-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1
], [-5, -5], [2, 2]]]], [[10, 17, 10, 1, 5], [v = 2^(1/2), And(3^(1/2) < u,u <
2), x = 1, y < -u^2, (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [1, 1], [-5, -5], [3, 3]
]]], [[10, 18, 4, 8, 1], [v = 2^(1/2), u = 2, x = -1, y = 2, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1, -1], [2, 2], [0
, 0]]]], [[10, 19, 9, 4, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -x
, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2
], [-7/2, -7/2], [-1, -1]]]], [[10, 19, 9, 4, 2], [v = 2^(1/2), 2 < u, And(1 <
x,x < u^2-3), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576
], [3, 3], [7/2, 7/2], [-7/2, -7/2], [0, 0]]]], [[10, 19, 9, 4, 3], [v = 2^(1/
2), 2 < u, And(1 < x,x < u^2-3), y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-7/2, -7/2], [1, 1]]]], [[11, 6
, 3, 7, 1], [2^(1/2) < v, u = -v, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[3, 3], [-3, -3], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 7, 11
, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [-2, -2]]]], [[
11, 7, 11, 4, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [-735979/
1048576, -1471957/2097152]]]], [[11, 7, 11, 4, 3], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^
2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [2, 2], [-653431/262144, -2613723/1048576], [-1/4194304, -1/4194304]]]], [[
11, 7, 11, 4, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^
2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [367989/524288,
735979/1048576]]]], [[11, 7, 11, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [2, 2], [-653431/262144, -2613723/
1048576], [2, 2]]]], [[11, 12, 3, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(
-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-2, -2], [-1, -1], [-3, -3]]]], [[11, 12, 3, 2, 2], [2^
(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [-1, -1], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 12, 3, 2, 3], [2^(1/2) < v, u = (
v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [-1, -1], [-1
/4194304, -1/4194304]]]], [[11, 12, 3, 2, 4], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]],
[[11, 12, 3, 2, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = -
x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2
, -2], [-1, -1], [3, 3]]]], [[11, 13, 7, 7, 1], [2^(1/2) < v, And((v^2-2)^(1/2
) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-\
1), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259
/524288, 133259/524288], [133259/1048576, 133259/1048576], [0, 0]]]], [[11, 19
, 9, 2, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^
2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3
, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152],
[-3398507/1048576, -1699253/524288], [-3, -3]]]], [[11, 19, 9, 2, 2], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-3398507/
1048576, -1699253/524288], [-1655969/1048576, -3311937/2097152]]]], [[11, 19,
9, 2, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-\
1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [-1/4194304, -\
1/4194304]]]], [[11, 19, 9, 2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [51749/32768,
1655969/1048576]]]], [[11, 19, 9, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [3, 3]]]], [[
11, 21, 2, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(u^2-v^2
+1 < y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[3, 3], [5, 5], [-17, -17],
[49/2, 49/2], [0, 0]]]], [[1, 4, 9, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2),
1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [2, 2], [-2, -2], [-1, -1]]]], [[1, 4, 9, 4, 2], [v < -2^(1/2), u = -(
v^2+1)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [2, 2], [-2, -2], [0, 0]]]], [[1, 4, 9, 4, 3], [v < -
2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [2, 2], [-2, -2], [1, 1]]]], [[1, 6, 3, 6,
1], [v < -2^(1/2), u = v, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [
[-3, -3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[1, 6, 3, 6, 2], [
v < -2^(1/2), u = v, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3,
-3], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 6, 3, 6, 3], [v < -2^
(1/2), u = v, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 12, 2, 4, 1], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-3, -3], [3, 3], [-1, -1]]]], [[1, 12, 2, 4, 2], [v < -
2^(1/2), u = (v^2-2)^(1/2), x = -3, y = 3, z = 0], [regular_chain, [[-3, -3],
[2774271/1048576, 10837/4096], [-3, -3], [3, 3], [0, 0]]]], [[1, 12, 2, 4, 3],
[v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [-3, -3], [3, 3], [1, 1]]]], [[1, 13, 7, 2
, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -
u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [-\
11586825/4194304, -1448353/524288], [-3, -3]]]], [[1, 13, 7, 2, 2], [v < -2^(1
/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y =
u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [133259/524288, 133259/524288], [-11586825/4194304, -\
1448353/524288], [-3321417/2097152, -415177/262144]]]], [[1, 13, 7, 2, 3], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1
), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [-11586825/4194304, -1448353/524288], [0, 0]]]], [[1, 13, 7, 2
, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -
u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [-\
11586825/4194304, -1448353/524288], [415177/262144, 1660709/1048576]]]], [[1,
13, 7, 2, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 <
x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [
[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [-\
11586825/4194304, -1448353/524288], [3, 3]]]], [[1, 18, 2, 5, 1], [v < -2^(1/2
), u = (v^2+1)^(1/2), x = -2, 2 < y, z = z], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-2, -2], [3, 3], [0, 0]]]], [[1, 19, 9, 1, 1]
, [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x
< 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5
], [-4, -4]]]], [[1, 19, 9, 1, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-5, -5], [-540613/262144, -2162451/1048576]]]], [[
1, 19, 9, 1, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [-5, -5], [0, 0]]]], [[1, 19, 9, 1, 4], [v < -2^(1/
2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u
^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5], [2162451/
1048576, 540613/262144]]]], [[1, 19, 9, 1, 5], [v < -2^(1/2), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(
1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [-5, -5], [4, 4]]]], [[2, 3, 11, 7, 1], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(u^2-x-3 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [2, 2], [-3183369/4194304, -3183369/4194304], [0, 0]]]], [[2
, 5, 7, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), 
And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [-773191/1048576, -773191/1048576], [-2, -2]]]], [
[2, 5, 7, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0),
And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [-773191/1048576, -773191/1048576], [-8388607/
8388608, -4398045986815/4398046511104]]]], [[2, 5, 7, 3, 3], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [-773191/1048576, -773191/1048576], [-3670015/8796093022208,
-3670015/8796093022208]]]], [[2, 5, 7, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [-773191/1048576, -\
773191/1048576], [1048575/1048576, 1]]]], [[2, 5, 7, 3, 5], [v = -2^(1/2), And
(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), (-x
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195
/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-773191/
1048576, -773191/1048576], [2, 2]]]], [[2, 6, 2, 4, 1], [v = -2^(1/2), u = v,
x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-1, -1]]]], [[2, 6, 2, 4,
2], [v = -2^(1/2), u = v, x = -1, y = 1, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1]
, [0, 0]]]], [[2, 6, 2, 4, 3], [v = -2^(1/2), u = v, x = -1, y = 1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1, -1], [1, 1], [1, 1]]]], [[2, 7, 10, 5, 1], [v = -2^(1/2), And(v
< u,u < -1), x = 1, And(-u^2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1,
1], [-1288231/1048576, -1288231/1048576], [-2, -2]]]], [[2, 7, 10, 5, 2], [v =
-2^(1/2), And(v < u,u < -1), x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [-501295/
1048576, -250647/524288]]]], [[2, 7, 10, 5, 3], [v = -2^(1/2), And(v < u,u < -\
1), x = 1, And(-u^2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [0, 0]]]], [[2
, 7, 10, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x = 1, And(-u^2 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-1288231/1048576, -1288231/
1048576], [250647/524288, 501295/1048576]]]], [[2, 7, 10, 5, 5], [v = -2^(1/2)
, And(v < u,u < -1), x = 1, And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [2, 2]]]], [[2
, 13, 8, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y = u^2-3, z < -(-u^2
+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [-3,
-3]]]], [[2, 13, 8, 2, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y = u^2-3,
z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576
], [-1302471/1048576, -651235/524288]]]], [[2, 13, 8, 2, 3], [v = -2^(1/2), 
And(1 < u,u < -v), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[2
, 13, 8, 2, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y = u^2-3, z = (-u^2+
3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [
651235/524288, 1302471/1048576]]]], [[2, 13, 8, 2, 5], [v = -2^(1/2), And(1 <
u,u < -v), x = 0, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0], [-\
3235683/2097152, -1617841/1048576], [3, 3]]]], [[2, 15, 5, 3, 1], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), z
< -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-\
186677/524288, -186677/524288], [-3, -3]]]], [[2, 15, 5, 3, 2], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-186677/
524288, -186677/524288], [-554529/524288, -1109057/1048576]]]], [[2, 15, 5, 3,
3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(-u^2-x+
1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [-186677/524288, -186677/524288], [0, 0]]]
], [[2, 15, 5, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u
^2-3), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [-186677/524288, -186677/524288], [1109057/1048576
, 554529/524288]]]], [[2, 15, 5, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-186677/524288, -186677/
524288], [3, 3]]]], [[2, 19, 8, 1, 1], [v = -2^(1/2), 2 < u, x = 1, y < -u^2,
z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [1, 1], [-10, -10], [-4, -4]]]], [[2, 19, 8, 1, 2], [v = -2^(1/2), 2 < u, x
= 1, y < -u^2, z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3, 3], [1, 1], [-10, -10], [-3, -3]]]], [[2, 19, 8, 1, 3], [v = -2^
(1/2), 2 < u, x = 1, y < -u^2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [-10, -10]
, [0, 0]]]], [[2, 19, 8, 1, 4], [v = -2^(1/2), 2 < u, x = 1, y < -u^2, z = (-y
-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1
], [-10, -10], [3, 3]]]], [[2, 19, 8, 1, 5], [v = -2^(1/2), 2 < u, x = 1, y <
-u^2, (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [1, 1], [-10, -10], [4, 4]]]], [[3, 1, 10, 4, 1], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [-13721443/2097152, -6860721/1048576], [-1, -1]]]],
[[3, 1, 10, 4, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-\
1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-13721443/2097152, -\
6860721/1048576], [0, 0]]]], [[3, 1, 10, 4, 3], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288
], [-13721443/2097152, -6860721/1048576], [1, 1]]]], [[3, 7, 10, 1, 1], [And(-
2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z <
-(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [-4, -4], [-3, -3]]]], [[3, 7, 10,
1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^
2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-4, -4], [-1816187/
1048576, -3632373/2097152]]]], [[3, 7, 10, 1, 3], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [-4, -4], [-1/4194304, -1/4194304]
]]], [[3, 7, 10, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2
)), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-4,
-4], [908093/524288, 1816187/1048576]]]], [[3, 7, 10, 1, 5], [And(-2^(1/2) < v
,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [1, 1], [-4, -4], [3, 3]]]], [[3, 9, 5, 4, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 9, 5, 4, 2], [And(-2^(1/2) < v
,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[3, 9, 5, 4,
3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(
-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0], [0, 0]]]],
[[3, 9, 5, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[3, 9, 5, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [
0, 0], [2, 2]]]], [[3, 17, 8, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2)
< u, x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-11055025/2097152, -\
11055025/2097152], [-4, -4]]]], [[3, 17, 8, 3, 2], [And(-2^(1/2) < v,v < -1),
(v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-\
11055025/2097152, -11055025/2097152], [-2167143/1048576, -1083571/524288]]]],
[[3, 17, 8, 3, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, And(-u
^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-11055025/2097152, -\
11055025/2097152], [0, 0]]]], [[3, 17, 8, 3, 4], [And(-2^(1/2) < v,v < -1), (v
^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-\
11055025/2097152, -11055025/2097152], [1083571/524288, 2167143/1048576]]]], [[
3, 17, 8, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, And(-u^2
+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [1, 1], [-11055025/2097152, -11055025/2097152], [4,
4]]]], [[4, 1, 10, 6, 1], [v = -1, u < -3^(1/2), x = u^2-2, y = 0, z = z], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [0, 0], [0, 0]]]], [[4, 7, 10, 5,
1], [v = -1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < -1), z < -(-y-1)^(1/
2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-9/8, -9/8], [-2, -2]]]
], [[4, 7, 10, 5, 2], [v = -1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < -1
), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-9/8,
-9/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 10, 5, 3], [v = -1, And(-1
< u,u < 0), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-9/8, -9/8], [0, 0]]]
], [[4, 7, 10, 5, 4], [v = -1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < -1
), z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-9/8,
-9/8], [370727/1048576, 46341/131072]]]], [[4, 7, 10, 5, 5], [v = -1, And(-1 <
u,u < 0), x = 1, And(-u^2-1 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[
-1, -1], [-1/2, -1/2], [1, 1], [-9/8, -9/8], [2, 2]]]], [[4, 9, 5, 8, 1], [v =
-1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -x, z < 0], [regular_chain, [[
-1, -1], [1/2, 1/2], [-5/8, -5/8], [5/8, 5/8], [-1, -1]]]], [[4, 9, 5, 8, 2],
[v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -x, z = 0], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [5/8, 5/8], [0, 0]]]], [[4
, 9, 5, 8, 3], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -x, 0 < z]
, [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [5/8, 5/8], [1, 1]]]],
[[4, 13, 11, 9, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, 0 < y, z = z
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [1,
1], [0, 0]]]], [[4, 15, 5, 5, 1], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And
(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1/2,
-1/2], [1/4, 1/4], [-2, -2]]]], [[4, 15, 5, 5, 2], [v = -1, 3^(1/2) < u, And(-\
1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[4, 15, 5, 5, 3], [v = -\
1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [1/4, 1/4],
[0, 0]]]], [[4, 15, 5, 5, 4], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2],
[1/4, 1/4], [1/2, 1/2]]]], [[4, 15, 5, 5, 5], [v = -1, 3^(1/2) < u, And(-1 < x
,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3,
3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[5, 5, 10, 6, 1], [And(-1 < v,v < 0)
, And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -1, z < 0], [regular_chain, [[-1/2
, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-1, -1], [-1, -1]]]],
[[5, 5, 10, 6, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y
= -1, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [1, 1], [-1, -1], [0, 0]]]], [[5, 5, 10, 6, 3], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -1, 0 < z], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-1, -1], [1, 1]]]], [[5,
7, 7, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-3/8, -3/8], [3/16, 3/16], [-2, -2]]]], [[5, 7, 7, 7, 2], [And(-1 < v,v < 0),
And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [3/16, 3/16], [-\
454047/1048576, -227023/524288]]]], [[5, 7, 7, 7, 3], [And(-1 < v,v < 0), And(
v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [
3/16, 3/16], [0, 0]]]], [[5, 7, 7, 7, 4], [And(-1 < v,v < 0), And(v < u,u < -v
), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [3/16, 3/16], [227023/
524288, 454047/1048576]]]], [[5, 7, 7, 7, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [3/16, 3/16], [2, 2]]]], [
[5, 8, 3, 1, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y < -1-x, z <
-(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-2,
-2], [-3, -3]]]], [[5, 8, 3, 1, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x <
0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [
-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[5, 8, 3, 1, 3]
, [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2],
[-2, -2], [0, 0]]]], [[5, 8, 3, 1, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,
x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2]
, [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[5, 8, 3, 1, 5
], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-2, -2], [3, 3]]]],
[[5, 9, 10, 7, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, 
And(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[6, 2, 4, 6, 1], [v = 0, u
= -2^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[0, 0], [-1482911/1048576,
-741455/524288], [-1, -1], [1, 1], [-1, -1]]]], [[6, 2, 4, 6, 2], [v = 0, u =
-2^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [0, 0]]]], [[6, 2, 4, 6, 3], [v = 0, u = -2^
(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [1, 1]]]], [[6, 3, 9, 4, 1], [v = 0, And(-2^
(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152],
[-1527887/2097152, -1527887/2097152], [-1, -1]]]], [[6, 3, 9, 4, 2], [v = 0, 
And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y = -x, z = 0], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/
2097152], [-1527887/2097152, -1527887/2097152], [0, 0]]]], [[6, 3, 9, 4, 3], [
v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152
, 1527887/2097152], [-1527887/2097152, -1527887/2097152], [1, 1]]]], [[6, 8, 5
, 2, 1], [v = 0, u = 1, And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[6,
8, 5, 2, 2], [v = 0, u = 1, And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576,
-741455/524288]]]], [[6, 8, 5, 2, 3], [v = 0, u = 1, And(-1 < x,x < 0), y = -x
-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [1, 1], [-1/2, -1
/2], [-3/2, -3/2], [0, 0]]]], [[6, 8, 5, 2, 4], [v = 0, u = 1, And(-1 < x,x <
0), y = -x-2, z = 2^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-3
/2, -3/2], [741455/524288, 1482911/1048576]]]], [[6, 8, 5, 2, 5], [v = 0, u =
1, And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[0, 0], [1, 1],
[-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[6, 9, 10, 8, 1], [v = 0, And(1 < u,u
< 2^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[7, 4, 3, 4, 1], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[0, 0], [-3, -3]]]], [[7, 4, 3, 4, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [0, 0], [-1284239/1048576, -\
642119/524288]]]], [[7, 4, 3, 4, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[0, 0], [0, 0]]]], [[7, 4, 3, 4, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [0, 0], [642119/524288, 
1284239/1048576]]]], [[7, 4, 3, 4, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[7, 5, 9,
5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/
1048576], [-2, -2]]]], [[7, 5, 9, 5, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2
], [-836497/1048576, -836497/1048576], [-572167/1048576, -1144333/2097152]]]],
[[7, 5, 9, 5, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x
,x < 1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2
], [-836497/1048576, -836497/1048576], [-1/4194304, -1/4194304]]]], [[7, 5, 9,
5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/
1048576], [286083/524288, 572167/1048576]]]], [[7, 5, 9, 5, 5], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/1048576], [2, 2]]]], [
[8, 1, 3, 2, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, z < u
], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [-4, -4], [-4, -4]]]], [[8, 1,
3, 2, 2], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [-4, -4], [-3, -3]]]], [[8, 1, 3,
2, 3], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, And(u < z,z < -
u)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [-4, -4], [0, 0]]]], [[8, 1,
3, 2, 4], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [-4, -4], [3, 3]]]], [[8, 1, 3, 2,
5], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [-4, -4], [4, 4]]]], [[8, 2, 5, 1,
1], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-\
4, -4], [-4, -4]]]], [[8, 2, 5, 1, 2], [v = 1, u = -3^(1/2), And(-1 < x,x < 0)
, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]
]], [[8, 2, 5, 1, 3], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y < -x-3, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[8, 2, 5, 1, 4
], [v = 1, u = -3^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-\
4, -4], [2224365/1048576, 1112183/524288]]]], [[8, 2, 5, 1, 5], [v = 1, u = -3
^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1, 1
], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[
8, 8, 6, 1, 1], [v = 1, u = 0, x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain
, [[1, 1], [0, 0], [0, 0], [-3, -3], [-3, -3]]]], [[8, 8, 6, 1, 2], [v = 1, u
= 0, x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [0, 0],
[-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[8, 8, 6, 1, 3], [v = 1, u
= 0, x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1,
1], [0, 0], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[8, 8, 6, 1, 4], [
v = 1, u = 0, x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[1, 1], [0, 0],
[0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[8, 8, 6, 1, 5], [v =
1, u = 0, x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [0,
0], [-3, -3], [3, 3]]]], [[8, 9, 11, 1, 1], [v = 1, And(0 < u,u < 1), 1 < x, y
< u^2-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-\
5, -5], [-3, -3]]]], [[8, 9, 11, 1, 2], [v = 1, And(0 < u,u < 1), 1 < x, y < u
^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-5,
-5], [-1816187/1048576, -3632373/2097152]]]], [[8, 9, 11, 1, 3], [v = 1, And(0
< u,u < 1), 1 < x, y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-5, -5], [-1/4194304, -1/4194304]
]]], [[8, 9, 11, 1, 4], [v = 1, And(0 < u,u < 1), 1 < x, y < u^2-x-2, z = (-x-
y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-5, -5], [908093/
524288, 1816187/1048576]]]], [[8, 9, 11, 1, 5], [v = 1, And(0 < u,u < 1), 1 <
x, y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2]
, [-5, -5], [3, 3]]]], [[8, 14, 6, 6, 1], [v = 1, u = 3^(1/2), x = 0, y = 1, z
= z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [1, 1
], [0, 0]]]], [[8, 15, 10, 7, 1], [v = 1, 3^(1/2) < u, x = u^2-2, 0 < y, z = z
], [regular_chain, [[1, 1], [3, 3], [7, 7], [1, 1], [0, 0]]]], [[9, 6, 6, 4, 1
], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y = -1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-1, -1], [-1, -1]]]], [[9, 6, 6, 4, 2], [And(1 < v,v < 2^(1/2)), u = -v, x
= 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-1, -1], [0, 0]]]], [[9, 6, 6, 4,
3], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y = -1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-1, -1], [1, 1]]]], [[9, 8, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3, -3], [4, 4], [0, 0]]]], [[9
, 9, 1, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [1617841
/2097152, 1617841/2097152], [-3, -3]]]], [[9, 9, 1, 3, 2], [And(1 < v,v < 2^(1
/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y <
u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-4, -4], [1617841/2097152, 1617841/2097152], [-471025/
262144, -7536399/4194304]]]], [[9, 9, 1, 3, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [0, 0], [-4, -4], [1617841/2097152, 1617841/2097152], [-3/
8388608, -3/8388608]]]], [[9, 9, 1, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-\
1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-4, -4], [1617841/2097152, 1617841/2097152], [1884099/1048576, 471025/262144]
]]], [[9, 9, 1, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [1617841
/2097152, 1617841/2097152], [3, 3]]]], [[9, 10, 4, 1, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[-2, -2], [-3, -3]]]], [[9, 10, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)
^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [-2, -2], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 10, 4, 1, 3], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 10, 4, 1, 4],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[9, 10, 4,
1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y < -1, (1-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[9, 16, 5, 1, 1], [And(1 < v,
v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[9, 16, 5, 1, 2], [And
(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536,
1949649/1048576], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]
]], [[9, 16, 5, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/
2], [-4, -4], [0, 0]]]], [[9, 16, 5, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+
2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/
2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[9, 16, 5, 1, 5], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[9, 17, 9, 2, 1], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-\
1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [7909297/2097152, 7909297/2097152], [-6456261/524288, -12912521/
1048576], [-4, -4]]]], [[9, 17, 9, 2, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/
2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152,
7909297/2097152], [-6456261/524288, -12912521/1048576], [-1532401/524288, -\
24518415/8388608]]]], [[9, 17, 9, 2, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2
) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [7909297/2097152, 7909297/2097152], [-6456261/524288, -12912521/
1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 9, 2, 4], [And(1 < v,v < 2^(
1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [-6456261/524288, -12912521/1048576], [
3064801/1048576, 1532401/524288]]]], [[9, 17, 9, 2, 5], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [-6456261/524288, -12912521/1048576], [4, 4
]]]], [[10, 5, 1, 4, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y
= -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/1048576, 
799673/524288], [-3, -3]]]], [[10, 5, 1, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3
], [1599345/1048576, 799673/524288], [-636691/524288, -1273381/1048576]]]], [[
10, 5, 1, 4, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = -u^2-
x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [
1599345/1048576, 799673/524288], [0, 0]]]], [[10, 5, 1, 4, 4], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x < -u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [1599345/1048576, 799673/524288], [1273381/1048576, 636691
/524288]]]], [[10, 5, 1, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u
^2+1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/
1048576, 799673/524288], [3, 3]]]], [[10, 6, 4, 2, 1], [v = 2^(1/2), u = -v, x
= 0, y = -1, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-2, -2]]]], [[10, 6, 4, 2
, 2], [v = 2^(1/2), u = -v, x = 0, y = -1, z = -1], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1]
, [-1, -1]]]], [[10, 6, 4, 2, 3], [v = 2^(1/2), u = -v, x = 0, y = -1, And(-1
< z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [0, 0]]]], [[10, 6, 4, 2, 4], [v =
2^(1/2), u = -v, x = 0, y = -1, z = 1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1, 1]
]]], [[10, 6, 4, 2, 5], [v = 2^(1/2), u = -v, x = 0, y = -1, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [-1, -1], [2, 2]]]], [[10, 12, 4, 1, 1], [v = 2^(1/2), u = 1,
x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [-2, -2], [-3, -3]]]], [[10, 12, 4, 1, 2], [v = 2^
(1/2), u = 1, x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 12, 4, 1, 3], [v = 2^(1/2), u = 1, x = -1, y < -1,
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[
10, 12, 4, 1, 4], [v = 2^(1/2), u = 1, x = -1, y < -1, z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-2, -2],
[908093/524288, 1816187/1048576]]]], [[10, 12, 4, 1, 5], [v = 2^(1/2), u = 1,
x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [-2, -2], [3, 3]]]], [[10, 13, 9, 5, 1], [v = 2^(1
/2), And(1 < u,u < v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187/33554432], [-2, -\
2]]]], [[10, 13, 9, 5, 2], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), 
And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-24446187/
33554432, -24446187/33554432], [-31331/65536, -501295/1048576]]]], [[10, 13, 9
, 5, 3], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(-u^2-x+1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
24446187/33554432, -24446187/33554432], [0, 0]]]], [[10, 13, 9, 5, 4], [v = 2^
(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = (-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187/33554432], [
501295/1048576, 31331/65536]]]], [[10, 13, 9, 5, 5], [v = 2^(1/2), And(1 < u,u
< v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-24446187/33554432, -24446187/33554432], [2, 2]]]], [[
11, 2, 8, 6, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [0, 0], [
0, 0]]]], [[11, 4, 1, 7, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, -x < y,
z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3],
[4, 4], [0, 0]]]], [[11, 10, 3, 8, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-\
3 < x,x < -1), y = 1-x, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-2, -2], [3, 3], [0, 0]]]], [[11, 11, 7, 9, 1], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), -u^2+v^2-x-1 <
y, z = z], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [9, 9], [0, 0]]]], [[
11, 15, 10, 9, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, 0 < y, z
= z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [1,
1], [0, 0]]]], [[11, 17, 7, 6, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0], [
-2, -2]]]], [[11, 17, 7, 6, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0], [
-527729/1048576, -1055457/2097152]]]], [[11, 17, 7, 6, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [0, 0], [-1/4194304, -1/4194304]]]], [[11,
17, 7, 6, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [0, 0], [32983/65536, 527729/
1048576]]]], [[11, 17, 7, 6, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0], [
2, 2]]]], [[1, 1, 3, 9, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1
< x,x < -1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [-5, -5], [-9
, -9], [25, 25], [0, 0]]]], [[1, 2, 6, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2
), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[1, 2,
6, 3, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(-
y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [0,
0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[1, 2, 6, 3, 3], [v
< -2^(1/2), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [0, 0], [-3/2, -3/2], [0, 0]]]], [[1, 2, 6, 3, 4], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [
[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0], [-3/2, -3/2], [642119/
524288, 1284239/1048576]]]], [[1, 2, 6, 3, 5], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [0, 0], [-3/2, -3/2], [3, 3]]]], [[1, 8, 7,
3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[1, 8, 7, 3, 2], [v
< -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[1, 8, 7, 3, 3], [v < -2^(1/2), u =
-(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[1, 8, 7, 3, 4], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2
], [-3/2, -3/2], [1, 1]]]], [[1, 8, 7, 3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2
), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-3/2, -3/2], [2
, 2]]]], [[1, 10, 1, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, And(0 <
y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[1, 10, 1, 3, 2], [v <
-2^(1/2), u = -(v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1/
2, 1/2], [-7846825/4194304, -980853/524288]]]], [[1, 10, 1, 3, 3], [v < -2^(1/
2), u = -(v^2-2)^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576
], [-4, -4], [1/2, 1/2], [0, 0]]]], [[1, 10, 1, 3, 4], [v < -2^(1/2), u = -(v^
2-2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1/2, 1/2], [980853/
524288, 1961707/1048576]]]], [[1, 10, 1, 3, 5], [v < -2^(1/2), u = -(v^2-2)^(1
/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3]
, [-5548543/2097152, -2774271/1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[1,
14, 2, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z <
-(2-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-\
2, -2], [1, 1], [-2, -2]]]], [[1, 14, 2, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[1, 14, 2, 3,
3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/
2) < z,z < (2-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-2, -2], [1, 1], [0, 0]]]], [[1, 14, 2, 3, 4], [v < -2^(1/2), u = (
v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-3
, -3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1], [1, 1]]]], [[1, 14,
2, 3, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1
/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2
], [1, 1], [2, 2]]]], [[1, 15, 8, 6, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,
u < -v), x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [0, 0], [0, 0], [-1, -1]]]], [[1, 15, 8, 6, 2], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = 0, z = 0], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [0, 0], [0, 0], [0, 0]]]], [[1, 15, 8
, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = 0, 0 < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [0, 0],
[1, 1]]]], [[1, 21, 8, 1, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, y < -u^
2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-19,
-19], [-6, -6]]]], [[1, 21, 8, 1, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1,
y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1, 1],
[-19, -19], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 8, 1, 3], [v < -2
^(1/2), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-
y-1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-19, -19], [0, 0]]]]
, [[1, 21, 8, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2,
z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-19, -19], [
4448731/1048576, 1112183/262144]]]], [[1, 21, 8, 1, 5], [v < -2^(1/2), (v^2+2)
^(1/2) < u, x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3
], [5, 5], [1, 1], [-19, -19], [6, 6]]]], [[2, 1, 10, 4, 1], [v = -2^(1/2), u
< -2, x = u^2-3, y = -u^2+3, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [6, 6], [-6, -6], [-1, -1]]]], [[2, 1, 10, 4, 2], [v
= -2^(1/2), u < -2, x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [6, 6], [-6, -6], [0, 0]]]], [[2, 1, 10, 4
, 3], [v = -2^(1/2), u < -2, x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [-6, -6], [1, 1]]]], [[2,
10, 2, 4, 1], [v = -2^(1/2), u = 0, x = -3, y = 3, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [3, 3], [-1, -1]]]], [[2,
10, 2, 4, 2], [v = -2^(1/2), u = 0, x = -3, y = 3, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [3, 3], [0, 0]]]], [[2, 10
, 2, 4, 3], [v = -2^(1/2), u = 0, x = -3, y = 3, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [3, 3], [1, 1]]]], [[2, 11
, 7, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = u^2-x-\
3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1/2, 1/2], [3/8, 3/8], [-25/8, -25/8], [-3, -3]]]], [[2, 11, 7, 2, 2], [v = -
2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = u^2-x-3, z = -(-u^2+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8,
3/8], [-25/8, -25/8], [-1738867/1048576, -3477733/2097152]]]], [[2, 11, 7, 2,
3], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = u^2-x-3, And(-
(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [3/8, 3/8], [-25/8, -25/8], [-1/4194304, -1/
4194304]]]], [[2, 11, 7, 2, 4], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x <
-u^2+1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [3/8, 3/8], [-25/8, -25/8], [869433/524288, 
1738867/1048576]]]], [[2, 11, 7, 2, 5], [v = -2^(1/2), And(0 < u,u < 1), And(0
< x,x < -u^2+1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-25/8, -25/8], [3, 3]]]], [
[2, 17, 8, 4, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -u^2+3
, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-126367/262144, -\
505467/1048576], [-1, -1]]]], [[2, 17, 8, 4, 2], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-126367/262144, -505467/1048576], [0, 0]]]], [[2, 17, 8, 4, 3], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -u^2+3, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [-126367/262144, -505467/1048576],
[1, 1]]]], [[2, 19, 1, 9, 1], [v = -2^(1/2), 2 < u, x < -u^2+1, u^2-x-3 < y, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [
16, 16], [0, 0]]]], [[3, 3, 11, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-797593/1048576, -797593/1048576], [0, 0]]]], [[3,
5, 7, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-1538813/2097152, -\
1538813/2097152], [-2, -2]]]], [[3, 5, 7, 3, 2], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,
y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [-1538813/2097152, -1538813/2097152], [-1, -1]]]], [[3, 5, 7,
3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-\
1538813/2097152, -1538813/2097152], [0, 0]]]], [[3, 5, 7, 3, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(-u^2
+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-1538813/2097152, -1538813/2097152], [1, 1]]]], [[
3, 5, 7, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(
u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-1538813/2097152, -\
1538813/2097152], [2, 2]]]], [[3, 11, 8, 5, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [0, 0], [-450371/2097152, -450371/2097152], [-2, -2]]]], [[3,
11, 8, 5, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0,
And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-450371
/2097152, -450371/2097152], [-485927/1048576, -242963/524288]]]], [[3, 11, 8,
5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(-u
^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0],
[-450371/2097152, -450371/2097152], [0, 0]]]], [[3, 11, 8, 5, 4], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < 0)
, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [-450371/2097152, -450371/2097152], [
242963/524288, 485927/1048576]]]], [[3, 11, 8, 5, 5], [And(-2^(1/2) < v,v < -1
), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [0, 0], [-450371/2097152, -450371/2097152], [2, 2]]]], [[3, 
13, 5, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [122559/524288, 245119/1048576], [-2, -2]]
]], [[3, 13, 5, 6, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)
), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [122559/524288, 245119
/1048576], [-765155/1048576, -1530309/2097152]]]], [[3, 13, 5, 6, 3], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y
= u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [122559/524288, 245119
/1048576], [-1/4194304, -1/4194304]]]], [[3, 13, 5, 6, 4], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x
-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [122559/524288, 245119/1048576], [382577/524288, 765155/1048576]]]],
[[3, 13, 5, 6, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), 
And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [122559/524288, 245119
/1048576], [2, 2]]]], [[3, 13, 11, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v <
u,u < (v^2+1)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-2, -\
2], [-1, -1]]]], [[3, 13, 11, 6, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-2, -2], [0, 0]
]]], [[3, 13, 11, 6, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/
2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-2, -2], [1, 1]]]], [[3
, 15, 7, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-712525/262144, -5700199/2097152],
[-3, -3]]]], [[3, 15, 7, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [501965/2097152, 501965/2097152], [-712525/262144, -\
5700199/2097152], [-3301741/2097152, -825435/524288]]]], [[3, 15, 7, 2, 3], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,
x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [501965/2097152, 501965/2097152], [-712525/262144, -5700199/
2097152], [0, 0]]]], [[3, 15, 7, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [-712525/
262144, -5700199/2097152], [825435/524288, 1650871/1048576]]]], [[3, 15, 7, 2,
5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0
< x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965
/2097152, 501965/2097152], [-712525/262144, -5700199/2097152], [3, 3]]]], [[4,
3, 10, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2-1 < y,y
< -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2346055/1048576, -2346055/1048576], [-3, -3]]]], [
[4, 3, 10, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2-1 <
y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2346055/1048576, -2346055/1048576], [-145801/
131072, -1166407/1048576]]]], [[4, 3, 10, 3, 3], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/
2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1],
[-2346055/1048576, -2346055/1048576], [0, 0]]]], [[4, 3, 10, 3, 4], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2-1 < y,y < -1), z = (-y-1)^(1/2
)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [
-2346055/1048576, -2346055/1048576], [1166407/1048576, 145801/131072]]]], [[4,
3, 10, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2-1 < y,y
< -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2346055/1048576, -2346055/1048576], [3, 3]]]], [[4
, 5, 5, 6, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = u
^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/1048576, 29957
/131072], [-2, -2]]]], [[4, 5, 5, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), 
And(-1 < x,x < u^2-2), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1
, -1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [239655/1048576, 29957/131072], [-772605/1048576, -1545209/2097152]]
]], [[4, 5, 5, 6, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2)
, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [
[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [239655/1048576, 29957/131072], [-1/4194304, -1/4194304]]]], [[4, 5,
5, 6, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = u^2-x-\
2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743
/1048576], [-3235683/4194304, -3235683/4194304], [239655/1048576, 29957/131072
], [193151/262144, 772605/1048576]]]], [[4, 5, 5, 6, 5], [v = -1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [239655/1048576, 29957/131072], [2, 2]]]], [[4, 9,
11, 7, 1], [v = -1, And(0 < u,u < 1), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [-1, -1], [0, 0]]]], [[4, 11, 9,
1, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y < -u^2-x, z < -(-x
-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/
2, 1/2], [-3, -3], [-3, -3]]]], [[4, 11, 9, 1, 2], [v = -1, And(1 < u,u < 2^(1
/2)), And(0 < x,x < 1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [-3315889/
2097152, -207243/131072]]]], [[4, 11, 9, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)
), And(0 < x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-3,
-3], [0, 0]]]], [[4, 11, 9, 1, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,
x < 1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/
1048576]]]], [[4, 11, 9, 1, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x <
1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [1/2, 1/2], [-3, -3], [3, 3]]]], [[5, 2, 2, 7, 1], [And(-1
< v,v < 0), u = -(v^2+2)^(1/2), x = -3, 4 < y, z = z], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-3, -3], [5, 5], [0, 0]]]], [[5, 3, 7, 5, 1], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [243021/1048576, 243021/1048576], [-243021/2097152, -243021/
2097152], [0, 0]]]], [[5, 12, 2, 6, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x = -3, y = 4, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [4
, 4], [0, 0]]]], [[5, 13, 7, 4, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And
(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/
2], [-1/2, -1/2], [-1, -1]]]], [[5, 13, 7, 4, 2], [And(-1 < v,v < 0), (v^2+2)^
(1/2) < u, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [3
, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[5, 13, 7, 4, 3], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1/
2, -1/2], [3, 3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[6, 6, 1, 3, 1], [v =
0, u = 0, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[0
, 0], [0, 0], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[6, 6, 1, 3, 2], [v = 0, u =
0, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
0, 0], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[6, 6, 1,
3, 3], [v = 0, u = 0, x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-2, -2], [1/2, 1/2], [0, 0]]]
], [[6, 6, 1, 3, 4], [v = 0, u = 0, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1
/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [1/2, 1/2], [642119/524288, 
1284239/1048576]]]], [[6, 6, 1, 3, 5], [v = 0, u = 0, x < -1, And(0 < y,y < -1
-x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [-2, -2], [1/2, 1/2],
[3, 3]]]], [[6, 7, 9, 6, 1], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = -
x, z < 0], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1,
-1]]]], [[6, 7, 9, 6, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = -x,
z = 0], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]
]], [[6, 7, 9, 6, 3], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = -x, 0 <
z], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]],
[[6, 11, 11, 9, 1], [v = 0, 2^(1/2) < u, u^2-1 < x, 0 < y, z = z], [
regular_chain, [[0, 0], [3, 3], [9, 9], [1, 1], [0, 0]]]], [[7, 2, 3, 5, 1], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [1, 1],
[-2, -2]]]], [[7, 2, 3, 5, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-2, -2], [1, 1], [-1, -1]]]], [[7, 2, 3, 5, 3], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2]
, [1, 1], [0, 0]]]], [[7, 2, 3, 5, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [-3/2, -3/2], [-2, -2], [1, 1], [1, 1]]]], [[7, 2, 3, 5, 5], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [1, 1], [2, 2]]
]], [[7, 8, 3, 6, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = -x, z <
0], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1
]]]], [[7, 8, 3, 6, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = -x, z
= 0], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [0, 0
]]]], [[7, 8, 3, 6, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = -x, 0
< z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1
]]]], [[7, 9, 11, 3, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 <
x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-3, -3], [-2, -2]]]]
, [[7, 9, 11, 3, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-3, -3], [-1, -1]]]], [
[7, 9, 11, 3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(
-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-3, -\
3], [0, 0]]]], [[7, 9, 11, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/
2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-3, -\
3], [1, 1]]]], [[7, 9, 11, 3, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/
2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-3, -\
3], [2, 2]]]], [[7, 10, 8, 1, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1,
y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [1, 1], [-4, -4], [-3, -3]]]], [[7, 10, 8, 1, 2], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[
1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-4, -4], [-1816187/
1048576, -3632373/2097152]]]], [[7, 10, 8, 1, 3], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-4, -4]
, [-1/4194304, -1/4194304]]]], [[7, 10, 8, 1, 4], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1, 1], [-4, -4], [908093/524288, 1816187/
1048576]]]], [[7, 10, 8, 1, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, y
< -3, (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543
/131072], [1, 1], [-4, -4], [3, 3]]]], [[7, 12, 1, 4, 1], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [-4, -4], [1, 1], [-3, -3]]]], [[7, 12, 1, 4, 2], [And(0 < v,v < 1
), u = (v^2+2)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[1/2,
1/2], [3/2, 3/2], [-4, -4], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [
[7, 12, 1, 4, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y = -x-3, And(
-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4],
[1, 1], [-1/4194304, -1/4194304]]]], [[7, 12, 1, 4, 4], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [3
/2, 3/2], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[7, 12, 1, 4
, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [1, 1], [3, 3]]]], [[8, 4, 5
, 6, 1], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/2
, 1/2], [-1, -1]]]], [[8, 4, 5, 6, 2], [v = 1, u = -2^(1/2), And(-1 < x,x < 0)
, y = -x, z = 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 4, 5, 6, 3], [v = 1, u = -2^(1/2), 
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1, 1], [-1482911/1048576,
-741455/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[8, 5, 10, 8, 1], [v =
1, And(-2^(1/2) < u,u < -1), x = 1, y = 0, z = z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[8, 11, 1, 2,
1], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0],
[-3, -3]]]], [[8, 11, 1, 2, 2], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y =
0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[8, 11,
1, 2, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = 0, And(-(-x)^(1/2) < z
,z < (-x)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576]
, [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[8, 11, 1, 2, 4], [v = 1, 
And(1 < u,u < 2^(1/2)), x < -u^2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[8, 11, 1, 2, 5], [v = 1, And(1 < u,u < 2^(1/2)), x < -u
^2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743
/1048576], [-3, -3], [0, 0], [3, 3]]]], [[8, 12, 3, 7, 1], [v = 1, u = 2^(1/2)
, And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[1, 1], [741455/524288,
1482911/1048576], [-3/2, -3/2], [3, 3], [0, 0]]]], [[9, 2, 8, 4, 1], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1
], [-1, -1], [-1, -1]]]], [[9, 2, 8, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-1, -1], [0, 0]]]], [
[9, 2, 8, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, y = -1, 0
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [1, 1], [-1, -1], [1, 1]]]], [[9, 4, 1, 5, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [2, 2], [-2, -2]]]], [[9, 4, 1, 5, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[9, 4, 1, 5, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-410915/262144, -3287319/2097152], [-3, -3], [2, 2], [0, 0]]]], [[9, 4, 1,
5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [2, 2], [1, 1]]]], [[9, 4, 1, 5, 5
], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [2, 2], [2, 2]]]], [[9, 13, 1, 5,
1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And
(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [2, 2], [-2, -2]]]], [[9, 13, 1, 5, 2], [And(1 < v,v < 2^(1/2)), And(v < u,
u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[9, 13, 1, 5, 3], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2
+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [2, 2], [0, 0]]]], [[9, 13, 1, 5, 4], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^
2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [2, 2], [1, 1]]]], [[9
, 13, 1, 5, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^
2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [2, 2], [2, 2]]]], [[9, 14, 4, 3, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[9, 14, 4, 3, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[9, 
14, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y
< 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-1/2,
-1/2], [0, 0]]]], [[9, 14, 4, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2
), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-1/2,
-1/2], [642119/524288, 1284239/1048576]]]], [[9, 14, 4, 3, 5], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[10, 2, 8, 7, 1], [v = 2^(1/2), u
= -2, x = 1, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [1, 1], [1, 1], [0, 0]]]], [[10, 4, 2, 1, 1], [v = 2^(1/2), u = -3^(
1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [-\
3, -3]]]], [[10, 4, 2, 1, 2], [v = 2^(1/2), u = -3^(1/2), x = -2, y < 0, z = -
(2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/
2097152]]]], [[10, 4, 2, 1, 3], [v = 2^(1/2), u = -3^(1/2), x = -2, y < 0, And
(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [-1/
4194304, -1/4194304]]]], [[10, 4, 2, 1, 4], [v = 2^(1/2), u = -3^(1/2), x = -2
, y < 0, z = (2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[10, 4, 2, 1, 5], [v = 2^(1/2), u = -3^(1/2), x = -2, y
< 0, (2-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [3, 3]]]], [[10, 9, 1,
6, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [4,
4], [-1, -1]]]], [[10, 9, 1, 6, 2], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3
, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1
/2], [-4, -4], [4, 4], [0, 0]]]], [[10, 9, 1, 6, 3], [v = 2^(1/2), And(-1 < u,
u < 0), x < u^2-3, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-4, -4], [4, 4], [1, 1]]]], [[10, 10, 3, 7, 1], [v =
2^(1/2), u = 0, And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [5/2, 5/2]
, [0, 0]]]], [[10, 16, 4, 3, 1], [v = 2^(1/2), u = 3^(1/2), x = -1, And(-1 < y
,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[10, 
16, 4, 3, 2], [v = 2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]
], [[10, 16, 4, 3, 3], [v = 2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1], [-1/2, -1/2], [0
, 0]]]], [[10, 16, 4, 3, 4], [v = 2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y <
0), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-1, -1], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[10, 16, 4, 3, 5], [v = 2^(1/2), u = 3^(1/2), x = -1, 
And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]],
[[10, 17, 9, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1)
, And(u^2-x-3 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288],
[-135777/1048576, -135777/1048576], [0, 0]]]], [[10, 18, 4, 9, 1], [v = 2^(1/2
), u = 2, x = -1, 2 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1, -1], [3, 3], [0, 0]]]], [[10, 19, 9, 1, 1], [v = 2^(1/2
), 2 < u, And(1 < x,x < u^2-3), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-13, -\
13], [-5, -5]]]], [[10, 19, 9, 1, 2], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3
), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [7/2, 7/2], [-13, -13], [-3231929/1048576, -403991/131072]]]
], [[10, 19, 9, 1, 3], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y < -u^2-x+1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [7/2, 7/2], [-13, -13], [0, 0]]]], [[10, 19, 9, 1, 4
], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y < -u^2-x+1, z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-13, -\
13], [403991/131072, 3231929/1048576]]]], [[10, 19, 9, 1, 5], [v = 2^(1/2), 2
< u, And(1 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-13, -13], [5, 5]]]], [[
11, 6, 4, 3, 1], [2^(1/2) < v, u = -v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/
2)], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[
11, 6, 4, 3, 2], [2^(1/2) < v, u = -v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/
2)], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-1/2, -1/2], [-1482911/
2097152, -741455/1048576]]]], [[11, 6, 4, 3, 3], [2^(1/2) < v, u = -v, x = 0,
And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3,
3], [-3, -3], [0, 0], [-1/2, -1/2], [0, 0]]]], [[11, 6, 4, 3, 4], [2^(1/2) < v
, u = -v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[3, 3],
[-3, -3], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[11, 6, 4,
3, 5], [2^(1/2) < v, u = -v, x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [-1/2, -1/2], [2, 2]]]], [[11, 7, 11
, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1
< y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [-3, -3], [-2, -2]]]], [[11, 7, 11, 3, 2],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -
u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [2, 2], [-3, -3], [-1, -1]]]], [[11, 7, 11, 3, 3], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x
-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [-3, -3], [0, 0]]]], [[11, 7, 11,
3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [-3, -3], [1, 1]]]], [[11, 7, 11, 3, 5], [
2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u
^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-3, -3], [2, 2]]]], [[11, 12, 3, 3, 1], [2^(1/2) <
v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [-1/2,
-1/2], [-3, -3]]]], [[11, 12, 3, 3, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-\
3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [2774271/1048576, 10837/4096], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -\
207243/131072]]]], [[11, 12, 3, 3, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3
< x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [-1/2, -1/2],
[0, 0]]]], [[11, 12, 3, 3, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x <
-1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271
/1048576, 10837/4096], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/1048576
]]]], [[11, 12, 3, 3, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1),
And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[11, 13, 7, 4, 1], [
2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-\
1), y = -x, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[133259/524288, 133259/524288], [-133259/524288, -133259/524288], [-1, -1]]]],
[[11, 13, 7, 4, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(0 < x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [133259/524288, 133259/524288], [-133259/524288, -\
133259/524288], [0, 0]]]], [[11, 13, 7, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -x, 0 < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [-133259/524288, -133259/524288], [1, 1]]]], [[11, 19, 9, 5, 1
], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x
< 1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-2097155/
4194304, -2097155/4194304], [0, 0]]]], [[11, 21, 2, 4, 1], [2^(1/2) < v, (v^2+
2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[3, 3],
[5, 5], [-17, -17], [17, 17], [-1, -1]]]], [[11, 21, 2, 4, 2], [2^(1/2) < v, (
v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[3,
3], [5, 5], [-17, -17], [17, 17], [0, 0]]]], [[11, 21, 2, 4, 3], [2^(1/2) < v,
(v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[3,
3], [5, 5], [-17, -17], [17, 17], [1, 1]]]], [[1, 4, 9, 3, 1], [v < -2^(1/2),
u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [-3, -3],
[-2, -2]]]], [[1, 4, 9, 3, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, And(-
x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [2, 2], [-3, -3], [-1, -1]]]], [[1, 4, 9, 3, 3], [v <
-2^(1/2), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [2, 2], [-3, -3], [0, 0]]]], [[1, 4, 9, 3, 4], [v < -2^(1/2), u = -(v^
2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [-3, -3], [1, 1]]]], [[1,
4, 9, 3, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536]
, [2, 2], [-3, -3], [2, 2]]]], [[1, 6, 3, 5, 1], [v < -2^(1/2), u = v, And(-1
< x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-3, -3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1, 6, 3, 5, 2], [v < -2^(1/
2), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[1, 6, 3, 5, 3], [v < -2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3, -3],
[-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 6, 3, 5, 4], [v < -2^(1/2), u = v, 
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1, 6, 3, 5, 5], [v <
-2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1,
12, 2, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, And(3 < y,y < 4), z =
z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [7/2,
7/2], [0, 0]]]], [[1, 13, 7, 3, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (
v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/524288, 133259/524288], [-395403/262144, -395403/262144], [-3, -3]]]],
[[1, 13, 7, 3, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [133259/524288, 
133259/524288], [-395403/262144, -395403/262144], [-1174299/1048576, -587149/
524288]]]], [[1, 13, 7, 3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1
)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [133259/524288, 133259/524288], [-395403/262144, -395403/
262144], [0, 0]]]], [[1, 13, 7, 3, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
133259/524288, 133259/524288], [-395403/262144, -395403/262144], [587149/
524288, 1174299/1048576]]]], [[1, 13, 7, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [133259/524288, 133259/524288], [-395403/262144, -395403/262144], [3,
3]]]], [[1, 18, 2, 4, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y = 2, z <
0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [2,
2], [-1, -1]]]], [[1, 18, 2, 4, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2,
y = 2, z = 0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2
, -2], [2, 2], [0, 0]]]], [[1, 18, 2, 4, 3], [v < -2^(1/2), u = (v^2+1)^(1/2),
x = -2, y = 2, 0 < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-2, -2], [2, 2], [1, 1]]]], [[1, 19, 8, 7, 1], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [1, 1], [0, 0]]]], [[2, 3, 11, 8, 1], [v = -2^(1/2), And(-2 <
u,u < -3^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2], [0, 0], [0, 0]]]
], [[2, 5, 7, 4, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x <
0), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [-275385/1048576, -34423/131072], [-2, -2]]]], [[2, 5, 7, 4,
2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = u^2-x-3,
z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-\
275385/1048576, -34423/131072], [-379975/524288, -1519899/2097152]]]], [[2, 5,
7, 4, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(u^2-3 < x,x < 0), y = u^
2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-275385/1048576, -34423/131072], [-1/
4194304, -1/4194304]]]], [[2, 5, 7, 4, 4], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), And(u^2-3 < x,x < 0), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-275385/1048576, -34423/131072], [759949/
1048576, 379975/524288]]]], [[2, 5, 7, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), And(u^2-3 < x,x < 0), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [
-1101539/4194304, -1101539/4194304], [-275385/1048576, -34423/131072], [2, 2]]
]], [[2, 6, 2, 3, 1], [v = -2^(1/2), u = v, x = -1, And(0 < y,y < 1), z < -(1-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 6, 2, 3, 2],
[v = -2^(1/2), u = v, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 6
, 2, 3, 3], [v = -2^(1/2), u = v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [0, 0]]]], [[2, 6, 2,
3, 4], [v = -2^(1/2), u = v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2, 6, 2, 3
, 5], [v = -2^(1/2), u = v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 7, 10, 4, 1], [v = -2^(1/2), 
And(v < u,u < -1), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [-1527887/1048576, -763943/524288], [-2, -2]]]], [[2, 7, 10, 4, 2], [v = -2^
(1/2), And(v < u,u < -1), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
1, 1], [-1527887/1048576, -763943/524288], [-1417877/2097152, -354469/524288]]
]], [[2, 7, 10, 4, 3], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = -u^2, And(
-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/
1048576, -763943/524288], [0, 0]]]], [[2, 7, 10, 4, 4], [v = -2^(1/2), And(v <
u,u < -1), x = 1, y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
1527887/1048576, -763943/524288], [354469/524288, 708939/1048576]]]], [[2, 7,
10, 4, 5], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = -u^2, (u^2-1)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [2, 2]]]], [[2,
13, 8, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(u^2-3 < y,y < -u^2+
1), z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[2, 13, 8,
3, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(u^2-3 < y,y < -u^2+1), z =
-(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[2, 13, 8, 3, 3], [
v = -2^(1/2), And(1 < u,u < -v), x = 0, And(u^2-3 < y,y < -u^2+1), And(-(-y)^(
1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[2, 13, 8,
3, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 0, And(u^2-3 < y,y < -u^2+1), z =
(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[2, 13, 8, 3, 5], [v
= -2^(1/2), And(1 < u,u < -v), x = 0, And(u^2-3 < y,y < -u^2+1), (-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [2, 2]]]], [[2, 15, 5, 4, 1], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [0, 0], [-2, -2]]]], [[2, 15,
5, 4, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = 0
, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [0, 0
], [-1831413/2097152, -3662825/4194304]]]], [[2, 15, 5, 4, 3], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [0, 0], [-1/
8388608, -1/8388608]]]], [[2, 15, 5, 4, 4], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), And(-1 < x,x < u^2-3), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [0, 0], [457853/524288, 915707/1048576]]]]
, [[2, 15, 5, 4, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^
2-3), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [0, 0], [2, 2]]]], [[2, 19, 7, 9, 1], [v = -2^(1/2), 2 < u, And(0 <
x,x < 1), u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [1/2, 1/2], [7, 7], [0, 0]]]], [[3, 1, 10, 3, 1], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u
^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-45358631/
4194304, -45358631/4194304], [-4, -4]]]], [[3, 1, 10, 3, 2], [And(-2^(1/2) < v
,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2
+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-45358631/4194304, -\
45358631/4194304], [-2167143/1048576, -1083571/524288]]]], [[3, 1, 10, 3, 3],
[And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2
< y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [-45358631/4194304, -45358631/4194304], [0, 0]]]], [
[3, 1, 10, 3, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1
, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [-45358631/4194304, -45358631/4194304], [1083571/
524288, 2167143/1048576]]]], [[3, 1, 10, 3, 5], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2
-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [6860721/1048576, 3430361/524288], [-45358631/4194304, -45358631/4194304]
, [4, 4]]]], [[3, 7, 10, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2
-1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1,
1], [-5390715/2097152, -2695357/1048576], [-3, -3]]]], [[3, 7, 10, 2, 2], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [1, 1], [-5390715/2097152, -2695357/
1048576], [-1314069/1048576, -328517/262144]]]], [[3, 7, 10, 2, 3], [And(-2^(1
/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u
^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-\
5390715/2097152, -2695357/1048576], [0, 0]]]], [[3, 7, 10, 2, 4], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [-5390715/2097152, -2695357/
1048576], [328517/262144, 1314069/1048576]]]], [[3, 7, 10, 2, 5], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [-5390715/2097152, -2695357/
1048576], [3, 3]]]], [[3, 9, 5, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/
2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3, 9, 5, 5, 2], [And(-2^(1/2) < v,v < -1)
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [0, 0], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[3, 9, 5, 5, 3], [And(-2
^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x <
0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [1
/4, 1/4], [0, 0]]]], [[3, 9, 5, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2
, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[3, 9, 5, 5, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3, 17, 8, 4, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, x = 1, y = -1, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-1, -1], [-1, -1]]]], [[3
, 17, 8, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, y = -1, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [
-1, -1], [0, 0]]]], [[3, 17, 8, 4, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2
) < u, x = 1, y = -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [1, 1], [-1, -1], [1, 1]]]], [[4, 1, 10, 7, 1], [v = -1, u <
-3^(1/2), x = u^2-2, 0 < y, z = z], [regular_chain, [[-1, -1], [-3, -3], [7, 7
], [1, 1], [0, 0]]]], [[4, 7, 10, 4, 1], [v = -1, And(-1 < u,u < 0), x = 1, y
= -u^2-1, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-5/4, -5/4
], [-2, -2]]]], [[4, 7, 10, 4, 2], [v = -1, And(-1 < u,u < 0), x = 1, y = -u^2
-1, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-5/4, -5/4], [-1
/2, -1/2]]]], [[4, 7, 10, 4, 3], [v = -1, And(-1 < u,u < 0), x = 1, y = -u^2-1
, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-5/4,
-5/4], [0, 0]]]], [[4, 7, 10, 4, 4], [v = -1, And(-1 < u,u < 0), x = 1, y = -u
^2-1, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-5/4, -5/4],
[1/2, 1/2]]]], [[4, 7, 10, 4, 5], [v = -1, And(-1 < u,u < 0), x = 1, y = -u^2-\
1, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-5/4, -5/4], [2,
2]]]], [[4, 9, 5, 7, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(
-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2],
[-5/8, -5/8], [1/2, 1/2], [-2, -2]]]], [[4, 9, 5, 7, 2], [v = -1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [1/2, 1/2], [-46341/131072
, -370727/1048576]]]], [[4, 9, 5, 7, 3], [v = -1, And(0 < u,u < 1), And(-1 < x
,x < -u^2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [1/2, 1/2], [0, 0]]]], [[
4, 9, 5, 7, 4], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(-u^2-x <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5
/8], [1/2, 1/2], [370727/1048576, 46341/131072]]]], [[4, 9, 5, 7, 5], [v = -1,
And(0 < u,u < 1), And(-1 < x,x < -u^2), And(-u^2-x < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [1/2, 1/2], [2, 2]]]]
, [[4, 14, 1, 1, 1], [v = -1, u = 3^(1/2), x < -3, y < 0, z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [-1, -1
], [-4, -4]]]], [[4, 14, 1, 1, 2], [v = -1, u = 3^(1/2), x < -3, y < 0, z = -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4
, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[4, 14, 1, 1, 3], [v =
-1, u = 3^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [-1, -1]
, [0, 0]]]], [[4, 14, 1, 1, 4], [v = -1, u = 3^(1/2), x < -3, y < 0, z = (-x-y
)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4
], [-1, -1], [2344687/1048576, 146543/65536]]]], [[4, 14, 1, 1, 5], [v = -1, u
= 3^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-4, -4], [-1, -1], [4, 4]]]], [[4, 15, 5, 6,
1], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [
[-1, -1], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[4, 15, 5, 6, 2], [v
= -1, 3^(1/2) < u, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1, -1
], [3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[4, 15, 5, 6, 3], [v = -1, 3^
(1/2) < u, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1, -1], [3, 3
], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[5, 5, 10, 5, 1], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1
, 1], [-5443141/4194304, -5443141/4194304], [-2, -2]]]], [[5, 5, 10, 5, 2], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [-1144335/
2097152, -572167/1048576]]]], [[5, 5, 10, 5, 3], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,
z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [0, 0]]]], [[5, 5, 10
, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2
-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [
572167/1048576, 71521/131072]]]], [[5, 5, 10, 5, 5], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [
-5443141/4194304, -5443141/4194304], [2, 2]]]], [[5, 7, 7, 6, 1], [And(-1 < v,
v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [0, 0], [-2, -2]]]], [[5,
7, 7, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8],
[0, 0], [-1284239/2097152, -642119/1048576]]]], [[5, 7, 7, 6, 3], [And(-1 < v,
v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [0, 0
], [0, 0]]]], [[5, 7, 7, 6, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^
2+v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0,
0], [-3/8, -3/8], [0, 0], [642119/1048576, 80265/131072]]]], [[5, 7, 7, 6, 5],
[And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = 0, (-x)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [0, 0], [2, 2
]]]], [[5, 8, 3, 2, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y = -1-
x, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-1/2, -1
/2], [-2, -2]]]], [[5, 8, 3, 2, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x <
0), y = -1-x, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2]
, [-1/2, -1/2], [-1, -1]]]], [[5, 8, 3, 2, 3], [And(-1 < v,v < 0), u = -v, And
(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[5, 8, 3, 2, 4], [And(-1 <
v,v < 0), u = -v, And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[-1/2,
-1/2], [1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[5, 8, 3, 2, 5], [
And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y = -1-x, 1 < z], [regular_chain
, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[5, 9, 10
, 8, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, y = 0, z =
z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1, 1],
[0, 0], [0, 0]]]], [[6, 2, 4, 5, 1], [v = 0, u = -2^(1/2), x = -1, And(0 < y,y
< 1), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[6, 2, 4, 5, 2], [v = 0, u = -2^(
1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[6, 2, 4, 5, 3], [v = 0, u = -2^(1/2), x = -1, And(0 < y,
y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [0, 0]]]], [[6, 2, 4,
5, 4], [v = 0, u = -2^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/
2], [741455/1048576, 46341/65536]]]], [[6, 2, 4, 5, 5], [v = 0, u = -2^(1/2),
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-1482911
/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[6, 3, 9, 3, 1],
[v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), And(-u^2-x-1 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [1527887/2097152, 1527887/2097152], [-8208699/4194304, -8208699/
4194304], [-3, -3]]]], [[6, 3, 9, 3, 2], [v = 0, And(-2^(1/2) < u,u < -1), And
(u^2-1 < x,x < 1), And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152
, 1527887/2097152], [-8208699/4194304, -8208699/4194304], [-1162243/1048576, -\
581121/524288]]]], [[6, 3, 9, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2
-1 < x,x < 1), And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/
2097152, 1527887/2097152], [-8208699/4194304, -8208699/4194304], [0, 0]]]], [[
6, 3, 9, 3, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), And(-u
^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [-8208699/
4194304, -8208699/4194304], [581121/524288, 1162243/1048576]]]], [[6, 3, 9, 3,
5], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), And(-u^2-x-1 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [1527887/2097152, 1527887/2097152], [-8208699/4194304, -8208699/
4194304], [3, 3]]]], [[6, 8, 5, 3, 1], [v = 0, u = 1, And(-1 < x,x < 0), And(-
x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1/2, -1
/2], [-3/4, -3/4], [-3, -3]]]], [[6, 8, 5, 3, 2], [v = 0, u = 1, And(-1 < x,x
< 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1]
, [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[6, 8, 5
, 3, 3], [v = 0, u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-3
/4, -3/4], [0, 0]]]], [[6, 8, 5, 3, 4], [v = 0, u = 1, And(-1 < x,x < 0), And(
-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [-1/2, -1
/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[6, 8, 5, 3, 5], [v =
0, u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[6, 9,
10, 9, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1, 1], [1, 1], [0
, 0]]]], [[7, 4, 3, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
-146543/131072, -1172343/1048576], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[
7, 4, 3, 3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And
(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/
1048576]]]], [[7, 4, 3, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 <
x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[-1/4, -1/4], [0, 0]]]], [[7, 4, 3, 3, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/
2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2], [-1/4, -1/4],
[1387135/1048576, 10837/8192]]]], [[7, 4, 3, 3, 5], [And(0 < v,v < 1), u = -(v
^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2],
[-1/4, -1/4], [3, 3]]]], [[7, 5, 9, 4, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/
2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[-1148707/1048576, -574353/524288], [-2, -2]]]], [[7, 5, 9, 4, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z =
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [-1618333/2097152,
-3236665/4194304]]]], [[7, 5, 9, 4, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [-1/8388608,
-1/8388608]]]], [[7, 5, 9, 4, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[-1148707/1048576, -574353/524288], [404583/524288, 809167/1048576]]]], [[7, 5
, 9, 4, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1
), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/
524288], [2, 2]]]], [[8, 1, 3, 1, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -\
1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5
], [-5, -5], [-5, -5]]]], [[8, 1, 3, 1, 2], [v = 1, u < -3^(1/2), And(-u^2 < x
,x < -1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [
-5, -5], [-5, -5], [-3315889/1048576, -207243/65536]]]], [[8, 1, 3, 1, 3], [v
= 1, u < -3^(1/2), And(-u^2 < x,x < -1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [-5, -5], [0, 0]]
]], [[8, 1, 3, 1, 4], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y < -u^2-x,
z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [-5, -5], [
207243/65536, 3315889/1048576]]]], [[8, 1, 3, 1, 5], [v = 1, u < -3^(1/2), And
(-u^2 < x,x < -1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-3
, -3], [-5, -5], [-5, -5], [5, 5]]]], [[8, 2, 4, 9, 1], [v = 1, u = -3^(1/2),
x = -1, 2 < y, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [3, 3], [0, 0]]]], [[8, 8, 6, 2, 1], [v = 1, u = 0, x = 0,
y = -2, z < -2^(1/2)], [regular_chain, [[1, 1], [0, 0], [0, 0], [-2, -2], [-3,
-3]]]], [[8, 8, 6, 2, 2], [v = 1, u = 0, x = 0, y = -2, z = -2^(1/2)], [
regular_chain, [[1, 1], [0, 0], [0, 0], [-2, -2], [-1482911/1048576, -741455/
524288]]]], [[8, 8, 6, 2, 3], [v = 1, u = 0, x = 0, y = -2, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[1, 1], [0, 0], [0, 0], [-2, -2], [0, 0]]]], [[8
, 8, 6, 2, 4], [v = 1, u = 0, x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[1
, 1], [0, 0], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[8, 8, 6
, 2, 5], [v = 1, u = 0, x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[1, 1],
[0, 0], [0, 0], [-2, -2], [3, 3]]]], [[8, 9, 11, 2, 1], [v = 1, And(0 < u,u <
1), 1 < x, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1
/2], [2, 2], [-15/4, -15/4], [-3, -3]]]], [[8, 9, 11, 2, 2], [v = 1, And(0 < u
,u < 1), 1 < x, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1
/2, 1/2], [2, 2], [-15/4, -15/4], [-10837/8192, -1387135/1048576]]]], [[8, 9,
11, 2, 3], [v = 1, And(0 < u,u < 1), 1 < x, y = u^2-x-2, And(-(-u^2+2)^(1/2) <
z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-15/4, -\
15/4], [0, 0]]]], [[8, 9, 11, 2, 4], [v = 1, And(0 < u,u < 1), 1 < x, y = u^2-
x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [2, 2], [-15/4,
-15/4], [1387135/1048576, 10837/8192]]]], [[8, 9, 11, 2, 5], [v = 1, And(0 < u
,u < 1), 1 < x, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1/
2, 1/2], [2, 2], [-15/4, -15/4], [3, 3]]]], [[8, 14, 6, 5, 1], [v = 1, u = 3^(
1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[1, 1], [908093/524288
, 1816187/1048576], [0, 0], [1/2, 1/2], [0, 0]]]], [[8, 15, 10, 6, 1], [v = 1,
3^(1/2) < u, x = u^2-2, y = 0, z = z], [regular_chain, [[1, 1], [3, 3], [7, 7]
, [0, 0], [0, 0]]]], [[9, 6, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 1,
And(-1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[9,
8, 2, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y < 0, z < -
(2-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-2, -2], [-1, -1], [-3, -3]]]], [[9, 8, 2, 1, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [
[9, 8, 2, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x = -2, y < 0, 
And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-1, -1], [-1/
4194304, -1/4194304]]]], [[9, 8, 2, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-\
1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-1, -1], [
908093/524288, 1816187/1048576]]]], [[9, 8, 2, 1, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2-1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-1,
-1], [3, 3]]]], [[9, 9, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [0, 0], [-3, -3]]]],
[[9, 9, 1, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-4, -4], [0, 0], [-2, -2]]]], [[9, 9, 1, 2
, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x <
u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [0, 0], [0, 0]]]], [[9, 9
, 1, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2))
, x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-4, -4], [0, 0], [2, 2]]]], [[9, 9, 1, 2, 5], [And(
1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1,
y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [-4, -4], [0, 0], [3, 3]]]], [[9, 10, 3, 7, 1], [And(1 < v,v < 2^(1/2))
, u = (v^2-1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/
2], [3, 3], [0, 0]]]], [[9, 16, 5, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)
^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/
2, -5/2], [-3, -3]]]], [[9, 16, 5, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)
^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/
2, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[9, 16, 5, 2, 3], [And(1 <
v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) <
z,z < 3^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]
]], [[9, 16, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/2, -5/2], [908093
/524288, 1816187/1048576]]]], [[9, 16, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u =
(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/
2], [-5/2, -5/2], [3, 3]]]], [[9, 17, 9, 3, 1], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [-4
, -4]]]], [[9, 17, 9, 3, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1
< x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152,
7909297/2097152], [-33734339/4194304, -33734339/4194304], [-2167143/1048576, -\
1083571/524288]]]], [[9, 17, 9, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/
4194304], [0, 0]]]], [[9, 17, 9, 3, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [7909297/
2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [1083571/
524288, 2167143/1048576]]]], [[9, 17, 9, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [4,
4]]]], [[10, 5, 1, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1,
And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/
2097152, 1599345/2097152], [-3, -3]]]], [[10, 5, 1, 3, 2], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [-3, -3], [1599345/2097152, 1599345/2097152], [-1568445/1048576, -\
392111/262144]]]], [[10, 5, 1, 3, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
x < -u^2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [-3, -3], [1599345/2097152, 1599345/2097152], [0, 0]]]], [[10, 5, 1
, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(0 < y,y < -u^
2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/2097152, 1599345/
2097152], [392111/262144, 1568445/1048576]]]], [[10, 5, 1, 3, 5], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [1599345/2097152, 1599345/2097152], [3, 3]]]], [[
10, 6, 4, 1, 1], [v = 2^(1/2), u = -v, x = 0, y < -1, z < -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [-3, -3]]]], [[10, 6, 4, 1, 2], [v = 2^(1/2), u = -
v, x = 0, y < -1, z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-1482911/
1048576, -741455/524288]]]], [[10, 6, 4, 1, 3], [v = 2^(1/2), u = -v, x = 0, y
< -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [0, 0]
]]], [[10, 6, 4, 1, 4], [v = 2^(1/2), u = -v, x = 0, y < -1, z = (-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[10, 6, 4, 1,
5], [v = 2^(1/2), u = -v, x = 0, y < -1, (-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [0, 0], [
-2, -2], [3, 3]]]], [[10, 12, 4, 2, 1], [v = 2^(1/2), u = 1, x = -1, y = -1, z
< -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -\
1], [-1, -1], [-3, -3]]]], [[10, 12, 4, 2, 2], [v = 2^(1/2), u = 1, x = -1, y
= -1, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[10, 12, 4, 2, 3
], [v = 2^(1/2), u = 1, x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-1, -1],
[0, 0]]]], [[10, 12, 4, 2, 4], [v = 2^(1/2), u = 1, x = -1, y = -1, z = 2^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-1,
-1], [741455/524288, 1482911/1048576]]]], [[10, 12, 4, 2, 5], [v = 2^(1/2), u
= 1, x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [-1, -1], [3, 3]]]], [[10, 13, 9, 6, 1], [v = 2^(1
/2), And(1 < u,u < v), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2
], [-1/2, -1/2], [-1, -1]]]], [[10, 13, 9, 6, 2], [v = 2^(1/2), And(1 < u,u <
v), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911
/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0
]]]], [[10, 13, 9, 6, 3], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 2, 8, 7,
1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[
3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [1, 1], [0, 0]]]], [[11, 4
, 2, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)]
, [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [-1, -\
1], [-3, -3]]]], [[11, 4, 2, 1, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2,
y < 0, z = -(2-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[11, 4,
2, 1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) <
z,z < (2-y)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536
], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 4, 2, 1, 4], [2^(1/2
) < v, u = -(v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[
3, 3], [-3315889/1048576, -207243/65536], [-2, -2], [-1, -1], [908093/524288,
1816187/1048576]]]], [[11, 4, 2, 1, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
-2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-2, -2], [-1, -1], [3, 3]]]], [[11, 10, 3, 7, 1], [2^(1/2) < v
, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [5/2,
5/2], [0, 0]]]], [[11, 11, 7, 8, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[
3, 3], [0, 0], [1/2, 1/2], [15/2, 15/2], [0, 0]]]], [[11, 15, 11, 1, 1], [2^(1
/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-5,
-5], [-3, -3]]]], [[11, 15, 11, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 15, 11, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), 1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-5, -5],
[-1/4194304, -1/4194304]]]], [[11, 15, 11, 1, 4], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[11, 15, 11, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), 1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [2, 2], [-5, -5], [3, 3]]]], [[11, 17, 7, 7
, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288, 66399/
524288], [-2, -2]]]], [[11, 17, 7, 7, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^
(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/524288, 66399/524288], [-373161/1048576, -46645/
131072]]]], [[11, 17, 7, 7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/
4194304, -1062385/4194304], [66399/524288, 66399/524288], [0, 0]]]], [[11, 17,
7, 7, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0)
, And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288, 
66399/524288], [46645/131072, 373161/1048576]]]], [[11, 17, 7, 7, 5], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1062385/4194304, -1062385/4194304], [66399/524288, 66399/524288], [2, 2]]]],
[[1, 1, 3, 8, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1
), y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [-5, -5], [-9, -9], [24
, 24], [0, 0]]]], [[1, 2, 6, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0,
y = -3, z < -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [0, 0], [-3, -3], [-3, -3]]]], [[1, 2, 6, 2, 2], [v < -2^(1/2), u =
-(v^2+2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 2, 6, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x =
0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]
]], [[1, 2, 6, 2, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, y = -3, z = 3^
(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0]
, [-3, -3], [908093/524288, 1816187/1048576]]]], [[1, 2, 6, 2, 5], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-3, -3]
, [-1738867/524288, -3477733/1048576], [0, 0], [-3, -3], [3, 3]]]], [[1, 8, 7,
4, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [
-1/2, -1/2], [-1, -1]]]], [[1, 8, 7, 4, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2),
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3], [-2965821/1048576
, -11863283/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 8, 7, 4, 3], [
v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [
-1/2, -1/2], [1, 1]]]], [[1, 10, 1, 4, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2),
x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-4, -4], [1, 1], [-3, -3]]]], [[1, 10, 1, 4, 2], [v < -2^(
1/2), u = -(v^2-2)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[-\
3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [-1816187/
1048576, -3632373/2097152]]]], [[1, 10, 1, 4, 3], [v < -2^(1/2), u = -(v^2-2)^
(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1, 1], [-1/4194304, -1/
4194304]]]], [[1, 10, 1, 4, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y =
-x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[1, 10, 1, 4
, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [1,
1], [3, 3]]]], [[1, 14, 2, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, y
= 0, z < -2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576
], [-2, -2], [0, 0], [-3, -3]]]], [[1, 14, 2, 2, 2], [v < -2^(1/2), u = (v^2-1
)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]
]]], [[1, 14, 2, 2, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, y = 0, And(-
2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-2, -2], [0, 0], [0, 0]]]], [[1, 14, 2, 2, 4], [v < -2^(1/2), u = (
v^2-1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]
], [[1, 14, 2, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -2, y = 0, 2^(1/2)
< z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-2, -2], [
0, 0], [3, 3]]]], [[1, 15, 8, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u <
-v), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [0, 0], [-516571/2097152, -516571/
2097152], [-2, -2]]]], [[1, 15, 8, 5, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u
,u < -v), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [0, 0], [-516571/2097152, -\
516571/2097152], [-16263/32768, -520415/1048576]]]], [[1, 15, 8, 5, 3], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < 0), And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152], [0, 0]]]], [[1,
15, 8, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^
2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152], [520415/1048576,
16263/32768]]]], [[1, 15, 8, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -
v), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -\
3], [6111549/2097152, 6111549/2097152], [0, 0], [-516571/2097152, -516571/
2097152], [2, 2]]]], [[1, 21, 8, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5],
[1, 1], [-18, -18], [-6, -6]]]], [[1, 21, 8, 2, 2], [v < -2^(1/2), (v^2+2)^(1/
2) < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [5, 5], [1, 1], [-18, -18], [-2161695/524288, -4323389/1048576]]]], [[1,
21, 8, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5]
, [1, 1], [-18, -18], [0, 0]]]], [[1, 21, 8, 2, 4], [v < -2^(1/2), (v^2+2)^(1/
2) < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [5, 5], [1, 1], [-18, -18], [4323389/1048576, 2161695/524288]]]], [[1, 21,
8, 2, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-18, -18], [6, 6]]]],
[[2, 1, 10, 5, 1], [v = -2^(1/2), u < -2, x = u^2-3, And(-u^2+3 < y,y < 0), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [
-3, -3], [0, 0]]]], [[2, 10, 2, 3, 1], [v = -2^(1/2), u = 0, x = -3, And(0 < y
,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [0, 0], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[2, 10, 2, 3, 2], [v = -2^(1/2)
, u = 0, x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [3/2, 3/2], [-1284239/
1048576, -642119/524288]]]], [[2, 10, 2, 3, 3], [v = -2^(1/2), u = 0, x = -3,
And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [3/2, 3/2], [0, 0]]]], [[2
, 10, 2, 3, 4], [v = -2^(1/2), u = 0, x = -3, And(0 < y,y < 3), z = (3-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [3/
2, 3/2], [642119/524288, 1284239/1048576]]]], [[2, 10, 2, 3, 5], [v = -2^(1/2)
, u = 0, x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [3/2, 3/2], [3, 3]]]], [[2
, 11, 7, 1, 1], [v = -2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^
2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1/2, 1/2], [3/8, 3/8], [-5, -5], [-4, -4]]]], [[2, 11, 7, 1, 2], [v = -2^(1
/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, z = -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [
-5, -5], [-281881/131072, -2255047/1048576]]]], [[2, 11, 7, 1, 3], [v = -2^(1/
2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [3/8, 3/8], [-5, -5], [0, 0]]]], [[2, 11, 7, 1, 4], [v = -2^(1/2), 
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-\
5, -5], [2255047/1048576, 281881/131072]]]], [[2, 11, 7, 1, 5], [v = -2^(1/2),
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [3/8, 3/8], [-\
5, -5], [4, 4]]]], [[2, 17, 8, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x
= u^2-3, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-505467/2097152, -505467/2097152], [0, 0]]]], [[2, 19, 2, 1, 1], [v
= -2^(1/2), 2 < u, x = -u^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [-1, -1], [-4, -4]]]], [
[2, 19, 2, 1, 2], [v = -2^(1/2), 2 < u, x = -u^2+1, y < 0, z = -(u^2-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [-1
, -1], [-3, -3]]]], [[2, 19, 2, 1, 3], [v = -2^(1/2), 2 < u, x = -u^2+1, y < 0
, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-8, -8], [-1, -1], [0, 0]]]], [[2, 19, 2, 1
, 4], [v = -2^(1/2), 2 < u, x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-8, -8], [-1, -1]
, [3, 3]]]], [[2, 19, 2, 1, 5], [v = -2^(1/2), 2 < u, x = -u^2+1, y < 0, (u^2-
y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[-8, -8], [-1, -1], [4, 4]]]], [[3, 3, 11, 6, 1], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-3190373/2097152, -797593/524288], [0, 0]]]], [[3,
5, 7, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-558339/2097152, -558339/2097152], [-314911/262144, -1259643/1048576], [-3, -3
]]]], [[3, 5, 7, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-314911/262144, -\
1259643/1048576], [-1270261/1048576, -317565/262144]]]], [[3, 5, 7, 2, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-314911/262144, -\
1259643/1048576], [0, 0]]]], [[3, 5, 7, 2, 4], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-\
314911/262144, -1259643/1048576], [317565/262144, 1270261/1048576]]]], [[3, 5,
7, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^
2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [-314911/262144, -1259643/1048576], [3, 3]]]
], [[3, 11, 8, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, x = 0, y = 0, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [0, 0], [0, 0], [-1, -1]]]], [[3, 11, 8, 6,
2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = 0, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [0, 0], [0, 0], [0, 0]]]], [[3, 11, 8, 6, 3], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = 0, 0 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0,
0], [0, 0], [1, 1]]]], [[3, 13, 5, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v <
u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [
1048577/2097152, 1048577/2097152], [-2, -2]]]], [[3, 13, 5, 7, 2], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(
u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [1048577/2097152, 1048577/2097152], [-270523/
524288, -1082091/2097152]]]], [[3, 13, 5, 7, 3], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [1048577/2097152, 1048577/2097152], [-1/4194304, -\
1/4194304]]]], [[3, 13, 5, 7, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v
^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [1048577/
2097152, 1048577/2097152], [541045/1048576, 270523/524288]]]], [[3, 13, 5, 7,
5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u
^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [1048577/2097152, 1048577/2097152], [2, 2]
]]], [[3, 13, 11, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/
2)), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-1, -1], [0, 0]
]]], [[3, 15, 7, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [501965/2097152, 501965/2097152], [-6202165/4194304, -\
6202165/4194304], [-3, -3]]]], [[3, 15, 7, 3, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v
^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [-6202165/4194304, -6202165/4194304], [-583671/524288, -1167341/
1048576]]]], [[3, 15, 7, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [-6202165/4194304, -6202165/4194304], [0, 0]]]], [[3, 15, 7, 3, 4],
[And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x
,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-6202165/4194304, -6202165/4194304
], [1167341/1048576, 583671/524288]]]], [[3, 15, 7, 3, 5], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And
(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [-6202165/4194304, -6202165/4194304], [3, 3]]]], [[4, 3, 10,
2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -u^2-1, z < u], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-\
3643535/1048576, -1821767/524288], [-3, -3]]]], [[4, 3, 10, 2, 2], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -u^2-1, z = u], [regular_chain, [[-\
1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-3643535/1048576, -\
1821767/524288], [-1649549/1048576, -3299097/2097152]]]], [[4, 3, 10, 2, 3], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -u^2-1, And(u < z,z < -u)],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-\
3643535/1048576, -1821767/524288], [-1/4194304, -1/4194304]]]], [[4, 3, 10, 2,
4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -u^2-1, z = -u], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [-\
3643535/1048576, -1821767/524288], [412387/262144, 1649549/1048576]]]], [[4, 3
, 10, 2, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -u^2-1, -u <
z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [1, 1], [
-3643535/1048576, -1821767/524288], [3, 3]]]], [[4, 5, 5, 5, 1], [v = -1, And(
-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), z < -(-x-
y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [-2, -2]
]]], [[4, 5, 5, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2
), And(0 < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/2097152, 239655/2097152], [-3400157/4194304, -850039/1048576]]]], [[4,
5, 5, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 <
y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1
, -1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [239655/2097152, 239655/2097152], [0, 0]]]], [[4, 5, 5, 5, 4], [v =
-1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [239655/2097152, 239655/
2097152], [850039/1048576, 106255/131072]]]], [[4, 5, 5, 5, 5], [v = -1, And(-
2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), (-x-y)^(1/
2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [2, 2]]]
], [[4, 9, 11, 8, 1], [v = -1, And(0 < u,u < 1), 1 < x, y = 0, z = z], [
regular_chain, [[-1, -1], [1/2, 1/2], [2, 2], [0, 0], [0, 0]]]], [[4, 11, 9, 2
, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, z < -u],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
8208699/4194304, -32834795/16777216], [-3, -3]]]], [[4, 11, 9, 2, 2], [v = -1,
And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, z = -u], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-8208699/4194304,
-32834795/16777216], [-1265743/1048576, -1265743/1048576]]]], [[4, 11, 9, 2, 3
], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, And(-u < z,z
< u)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/
2], [-8208699/4194304, -32834795/16777216], [0, 0]]]], [[4, 11, 9, 2, 4], [v =
-1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
8208699/4194304, -32834795/16777216], [1265743/1048576, 1265743/1048576]]]], [
[4, 11, 9, 2, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-
x, u < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2
, 1/2], [-8208699/4194304, -32834795/16777216], [3, 3]]]], [[5, 2, 2, 6, 1], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -3, y = 4, z = z], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [-3, -3], [4, 4], [0, 0]]]], [[5, 3, 7, 4, 1], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u
^2-v^2-1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [243021/1048576, 243021/1048576], [-243021/1048576, -243021/
1048576], [-1, -1]]]], [[5, 3, 7, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z = 0], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
1048576, 243021/1048576], [-243021/1048576, -243021/1048576], [0, 0]]]], [[5,
3, 7, 4, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-243021/
1048576, -243021/1048576], [1, 1]]]], [[5, 12, 2, 7, 1], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), x = -3, 4 < y, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [-3, -3], [5, 5], [0, 0]]]], [[5, 13, 7, 5, 1], [And(-1 < v,v < 0), (v^2+
2)^(1/2) < u, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-\
1/2, -1/2], [3, 3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[6, 6, 1, 2, 1], [v
= 0, u = 0, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [0, 0],
[-2, -2], [0, 0], [-3, -3]]]], [[6, 6, 1, 2, 2], [v = 0, u = 0, x < -1, y = 0,
z = -(-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [0, 0], [-1482911
/1048576, -741455/524288]]]], [[6, 6, 1, 2, 3], [v = 0, u = 0, x < -1, y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-2, -2
], [0, 0], [0, 0]]]], [[6, 6, 1, 2, 4], [v = 0, u = 0, x < -1, y = 0, z = (-x)
^(1/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [0, 0], [741455/524288, 
1482911/1048576]]]], [[6, 6, 1, 2, 5], [v = 0, u = 0, x < -1, y = 0, (-x)^(1/2
) < z], [regular_chain, [[0, 0], [0, 0], [-2, -2], [0, 0], [3, 3]]]], [[6, 7,
9, 5, 1], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-7/8, -7
/8], [-2, -2]]]], [[6, 7, 9, 5, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1)
, And(u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2,
1/2], [1/2, 1/2], [-7/8, -7/8], [-1284239/2097152, -642119/1048576]]]], [[6, 7
, 9, 5, 3], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2-x-1 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/
2], [1/2, 1/2], [-7/8, -7/8], [0, 0]]]], [[6, 7, 9, 5, 4], [v = 0, And(0 < u,u
< 1), And(0 < x,x < 1), And(u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-7/8, -7/8], [642119/1048576,
80265/131072]]]], [[6, 7, 9, 5, 5], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1)
, And(u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1
/2], [1/2, 1/2], [-7/8, -7/8], [2, 2]]]], [[7, 1, 1, 1, 1], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-3, -3], [-11, -11], [-1, -1], [-5, -5]]]], [[7, 1, 1, 1, 2], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [-1, -1], [-1816187/
524288, -3632373/1048576]]]], [[7, 1, 1, 1, 3], [And(0 < v,v < 1), u < -(v^2+2
)^(1/2), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [-1, -1], [0, 0]]]], [[7, 1,
1, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z = (-
x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [-1, -1], [
3632373/1048576, 1816187/524288]]]], [[7, 1, 1, 1, 5], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1/
2, 1/2], [-3, -3], [-11, -11], [-1, -1], [5, 5]]]], [[7, 2, 3, 6, 1], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [2, 2], [-1, -1]]]], [[7,
2, 3, 6, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x
, z = 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [2, 2], [0, 0]]
]], [[7, 2, 3, 6, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1
), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [2, 2]
, [1, 1]]]], [[7, 8, 3, 5, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2]
, [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[7, 8, 3, 5, 2], [And(0 < v,v < 1),
u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]
]]], [[7, 8, 3, 5, 3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And(0 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2]
, [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[7, 8, 3, 5, 4], [And(0 <
v,v < 1), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]
], [[7, 8, 3, 5, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2
], [1/4, 1/4], [2, 2]]]], [[7, 9, 11, 2, 1], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-\
1784943/524288, -3569885/1048576], [-3, -3]]]], [[7, 9, 11, 2, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2,
2], [-1784943/524288, -3569885/1048576], [-19417/16384, -1242687/1048576]]]],
[[7, 9, 11, 2, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y =
-u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-\
1784943/524288, -3569885/1048576], [0, 0]]]], [[7, 9, 11, 2, 4], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [2, 2]
, [-1784943/524288, -3569885/1048576], [1242687/1048576, 19417/16384]]]], [[7,
9, 11, 2, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [2, 2], [-1784943/524288, -3569885/1048576], [3, 3]
]]], [[7, 10, 7, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), And(0 < x,x < 1)
, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072]
, [1/2, 1/2], [1, 1], [0, 0]]]], [[7, 12, 1, 3, 1], [And(0 < v,v < 1), u = (v^
2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[7, 12, 1, 3, 2],
[And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [-\
7846825/4194304, -980853/524288]]]], [[7, 12, 1, 3, 3], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [0, 0]]
]], [[7, 12, 1, 3, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, And(0 < y
,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -\
4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[7, 12, 1, 3, 5], [And(0
< v,v < 1), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [1/2, 1/2], [3, 3]]]], [[8,
4, 5, 7, 1], [v = 1, u = -2^(1/2), And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [2,
2], [0, 0]]]], [[8, 5, 10, 9, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, 0 <
y, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1,
1], [1, 1], [0, 0]]]], [[8, 11, 1, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x <
-u^2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[8, 11, 1, 1, 2], [v = 1,
And(1 < u,u < 2^(1/2)), x < -u^2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [
[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [
[8, 11, 1, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y < 0, And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[8, 11, 1, 1, 4], [v = 1, 
And(1 < u,u < 2^(1/2)), x < -u^2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[
1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[8,
11, 1, 1, 5], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y < 0, (-x-y)^(1/2) <
z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [-1
, -1], [3, 3]]]], [[8, 12, 3, 6, 1], [v = 1, u = 2^(1/2), And(-2 < x,x < -1),
y = -x, z < 0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3
/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[8, 12, 3, 6, 2], [v = 1, u = 2^(1/2), 
And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[8, 12, 3, 6, 3], [v =
1, u = 2^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[9, 2,
8, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, And(-1 < y,y < 0
), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1, 1], [-1/2, -1/2], [0, 0]]]], [[9, 4, 1, 6, 1],
[And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3, -3], [3, 3], [-1, -1]]]], [[9, 4, 1, 6, 2], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [3, 3
], [0, 0]]]], [[9, 4, 1, 6, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x
< -2, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [3, 3], [1, 1]]]], [[9, 13, 1, 4,
1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [401729/262144
, 1606917/1048576], [-3, -3]]]], [[9, 13, 1, 4, 2], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [401729/262144, 1606917/1048576], [-\
1270261/1048576, -317565/262144]]]], [[9, 13, 1, 4, 3], [And(1 < v,v < 2^(1/2)
), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v
^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [401729/262144
, 1606917/1048576], [0, 0]]]], [[9, 13, 1, 4, 4], [And(1 < v,v < 2^(1/2)), And
(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-3, -3], [401729/262144, 1606917/1048576], [317565/262144,
1270261/1048576]]]], [[9, 13, 1, 4, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [401729/262144, 1606917/1048576], [3, 3]]]], [[9, 14, 4, 2
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = -1, z < -2^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-1, -1], [-1, -1], [-3, -3]]]], [[9, 14, 4, 2, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[9, 14, 4
, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = -1, And(-2^(1
/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-1, -1], [-1, -1], [0, 0]]]], [[9, 14, 4, 2,
4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = -1, z = 2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[9, 14, 4,
2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-1, -1], [-1, -1], [3, 3]]]], [[10, 2, 9, 1, 1], [v = 2^(1/2)
, u = -2, 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-2, -2], [2, 2], [-6, -6], [-3, -3]]]], [[10, 2, 9, 1, 2]
, [v = 2^(1/2), u = -2, 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-2, -2], [2, 2], [-6, -6], [-2, -2]]]], [[
10, 2, 9, 1, 3], [v = 2^(1/2), u = -2, 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2
], [2, 2], [-6, -6], [0, 0]]]], [[10, 2, 9, 1, 4], [v = 2^(1/2), u = -2, 1 < x
, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [-6, -6], [2, 2]]]], [[10, 2, 9, 1, 5], [v = 2^(1/
2), u = -2, 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [2, 2], [-6, -6], [3, 3]]]], [[10, 4, 2, 2
, 1], [v = 2^(1/2), u = -3^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2
, -2], [0, 0], [-3, -3]]]], [[10, 4, 2, 2, 2], [v = 2^(1/2), u = -3^(1/2), x =
-2, y = 0, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[10, 4, 2, 2, 3], [v = 2^(1/2), u = -3^(1/2), x = -2, y =
0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [0, 0]]]], [
[10, 4, 2, 2, 4], [v = 2^(1/2), u = -3^(1/2), x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[10, 4, 2, 2
, 5], [v = 2^(1/2), u = -3^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-2,
-2], [0, 0], [3, 3]]]], [[10, 9, 1, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), x
< u^2-3, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [21/8, 21/8], [-3, -3]]]],
[[10, 9, 1, 5, 2], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(u^2-x-3 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1/2, -1/2], [-4, -4], [21/8, 21/8], [-1229565/1048576, -307391/262144]]]]
, [[10, 9, 1, 5, 3], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(u^2-x-3 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [21/8, 21/8], [0, 0]]]], [[
10, 9, 1, 5, 4], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(u^2-x-3 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1/2, -1/2], [-4, -4], [21/8, 21/8], [307391/262144, 1229565/1048576]]]], [[10
, 9, 1, 5, 5], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(u^2-x-3 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1
/2, -1/2], [-4, -4], [21/8, 21/8], [3, 3]]]], [[10, 10, 3, 6, 1], [v = 2^(1/2)
, u = 0, And(-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[741455/524288,
1482911/1048576], [0, 0], [-2, -2], [2, 2], [-1, -1]]]], [[10, 10, 3, 6, 2], [
v = 2^(1/2), u = 0, And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [2, 2], [0, 0]]]], [[10, 10
, 3, 6, 3], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [2, 2], [1
, 1]]]], [[10, 16, 4, 4, 1], [v = 2^(1/2), u = 3^(1/2), x = -1, y = 0, z < -1]
, [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[10, 16, 4, 4, 2], [v = 2^(1/2), u =
3^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[
10, 16, 4, 4, 3], [v = 2^(1/2), u = 3^(1/2), x = -1, y = 0, And(-1 < z,z < 1)]
, [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[10, 16, 4, 4, 4], [v = 2^(1/2), u = 3
^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-1, -1], [0, 0], [1, 1]]]], [[10,
16, 4, 4, 5], [v = 2^(1/2), u = 3^(1/2), x = -1, y = 0, 1 < z], [regular_chain
, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1, -1
], [0, 0], [2, 2]]]], [[10, 17, 9, 8, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2)
, And(u^2-3 < x,x < 1), y = 0, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/
524288], [0, 0], [0, 0]]]], [[10, 18, 5, 1, 1], [v = 2^(1/2), u = 2, And(-1 <
x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[10, 18, 5, 1,
2], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [-4, -\
4], [-1112183/524288, -2224365/1048576]]]], [[10, 18, 5, 1, 3], [v = 2^(1/2),
u = 2, And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [-4,
-4], [0, 0]]]], [[10, 18, 5, 1, 4], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y
< -x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[2, 2], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[10, 18
, 5, 1, 5], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [-\
4, -4], [4, 4]]]], [[10, 19, 9, 2, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-\
3), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [7/2, 7/2], [-23/2, -23/2], [-4, -4]]]], [[10, 19, 9
, 2, 2], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, z = -(u^2-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2]
, [-23/2, -23/2], [-2965821/1048576, -11863283/4194304]]]], [[10, 19, 9, 2, 3]
, [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3
, 3], [7/2, 7/2], [-23/2, -23/2], [-3/8388608, -3/8388608]]]], [[10, 19, 9, 2,
4], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-23
/2, -23/2], [741455/262144, 2965821/1048576]]]], [[10, 19, 9, 2, 5], [v = 2^(1
/2), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [-23/2,
-23/2], [4, 4]]]], [[11, 6, 4, 2, 1], [2^(1/2) < v, u = -v, x = 0, y = -1, z <
-1], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-1, -1], [-2, -2]]]], [[11, 6
, 4, 2, 2], [2^(1/2) < v, u = -v, x = 0, y = -1, z = -1], [regular_chain, [[3,
3], [-3, -3], [0, 0], [-1, -1], [-1, -1]]]], [[11, 6, 4, 2, 3], [2^(1/2) < v,
u = -v, x = 0, y = -1, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3],
[0, 0], [-1, -1], [0, 0]]]], [[11, 6, 4, 2, 4], [2^(1/2) < v, u = -v, x = 0, y
= -1, z = 1], [regular_chain, [[3, 3], [-3, -3], [0, 0], [-1, -1], [1, 1]]]],
[[11, 6, 4, 2, 5], [2^(1/2) < v, u = -v, x = 0, y = -1, 1 < z], [regular_chain
, [[3, 3], [-3, -3], [0, 0], [-1, -1], [2, 2]]]], [[11, 7, 11, 2, 1], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2]
, [-7355465/2097152, -919433/262144], [-3, -3]]]], [[11, 7, 11, 2, 2], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2,
2], [-7355465/2097152, -919433/262144], [-1287385/1048576, -160923/131072]]]],
[[11, 7, 11, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u
^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-\
7355465/2097152, -919433/262144], [0, 0]]]], [[11, 7, 11, 2, 4], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-\
7355465/2097152, -919433/262144], [160923/131072, 1287385/1048576]]]], [[11, 7
, 11, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-
x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-7355465/2097152, -919433/262144], [3, 3]]]], [[11,
12, 3, 4, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, z <
-(-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2]
, [0, 0], [-3, -3]]]], [[11, 12, 3, 4, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), 
And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [2774271
/1048576, 10837/4096], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]]
, [[11, 12, 3, 4, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-2, -2], [0, 0], [0, 0]]]], [[11, 12, 3, 4, 4], [2^(1/2
) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[11, 12, 3, 4, 5], [2^(1/2) < v, u = (v^2
-2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3]
, [2774271/1048576, 10837/4096], [-2, -2], [0, 0], [3, 3]]]], [[11, 13, 7, 5,
1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2
+v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [133259/524288, 133259/524288], [-133259/1048576, -133259/
1048576], [0, 0]]]], [[11, 19, 9, 4, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[
3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152],
[-1566621/2097152, -1566621/2097152], [-1, -1]]]], [[11, 19, 9, 4, 2], [2^(1/2
) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y =
-x, z = 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
1566621/2097152, 1566621/2097152], [-1566621/2097152, -1566621/2097152], [0, 0
]]]], [[11, 19, 9, 4, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), And(u^2-v^2-1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
1566621/2097152, -1566621/2097152], [1, 1]]]], [[11, 21, 2, 3, 1], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-
y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-17, -17], [17/2, 17/2], [-4, -\
4]]]], [[11, 21, 2, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [-17, -17], [17/2, 17/2], [-24456785/8388608, -1528549/524288]]]], [[
11, 21, 2, 3, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y
< u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [5, 5], [-17, -17], [17/2, 17/2], [0, 0]]]], [[11, 21,
2, 3, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v
^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-17, -17],
[17/2, 17/2], [1528549/524288, 3057099/1048576]]]], [[11, 21, 2, 3, 5], [2^(1/
2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-
y+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-17, -17], [17/2, 17/2], [4
, 4]]]], [[1, 1, 4, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = 1, z
< 0], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [1, 1], [-1, -1]]]], [[1,
1, 4, 6, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [1, 1], [0, 0]]]], [[1, 1, 4, 6,
3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain,
[[-3, -3], [-5, -5], [-1, -1], [1, 1], [1, 1]]]], [[1, 2, 6, 5, 1], [v < -2^(1
/2), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [0, 0], [1/2, 1/2], [0, 0]]]], [[1
, 8, 8, 2, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, y = -3, z < -2^(1/2)]
, [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [-\
3, -3], [-3, -3]]]], [[1, 8, 8, 2, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x =
1, y = -3, z = -2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[
1, 8, 8, 2, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, y = -3, And(-2^(1/2)
< z,z < 2^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1, 1], [-3, -3], [0, 0]]]], [[1, 8, 8, 2, 4], [v < -2^(1/2), u = -(
v^2-1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [-3, -3], [741455/524288, 1482911
/1048576]]]], [[1, 8, 8, 2, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, y =
-3, 2^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1, 1], [-3, -3], [3, 3]]]], [[1, 10, 1, 5, 1], [v < -2^(1/2), u = -
(v^2-2)^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [5/2
, 5/2], [-3, -3]]]], [[1, 10, 1, 5, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x <
-3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [5/2, 5/2], [-1284239/1048576, -\
642119/524288]]]], [[1, 10, 1, 5, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -\
3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [5/2
, 5/2], [0, 0]]]], [[1, 10, 1, 5, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -\
3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [5/2, 5/2], [642119/524288, 
1284239/1048576]]]], [[1, 10, 1, 5, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x <
-3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-4, -4], [5/2, 5/2], [3, 3]]]], [[1, 14,
3, 4, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-
x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2,
-3/2], [0, 0], [-3, -3]]]], [[1, 14, 3, 4, 2], [v < -2^(1/2), u = (v^2-1)^(1/2
), And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-3/2, -3/2], [0, 0], [-1284239/1048576, -\
642119/524288]]]], [[1, 14, 3, 4, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2
< x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3
, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[1,
14, 3, 4, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z =
(-x)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/
2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[1, 14, 3, 4, 5], [v <
-2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [0,
0], [3, 3]]]], [[1, 15, 9, 1, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[
1, 15, 9, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1
), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[1, 15, 9, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 
And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-4,
-4], [0, 0]]]], [[1, 15, 9, 1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-4, -4], [980853/524288,
1961707/1048576]]]], [[1, 15, 9, 1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [
[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-4, -4], [3, 3]]]],
[[1, 21, 8, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(0 < y,y < u^2-
v^2-2), z = z], [regular_chain, [[-3, -3], [5, 5], [1, 1], [7, 7], [0, 0]]]],
[[2, 1, 10, 6, 1], [v = -2^(1/2), u < -2, x = u^2-3, y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [0, 0],
[0, 0]]]], [[2, 10, 2, 2, 1], [v = -2^(1/2), u = 0, x = -3, y = 0, z < -3^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [0,
0], [-3, -3]]]], [[2, 10, 2, 2, 2], [v = -2^(1/2), u = 0, x = -3, y = 0, z = -
3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3
], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[2, 10, 2, 2, 3], [v = -2
^(1/2), u = 0, x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [0, 0], [-1/4194304, -1
/4194304]]]], [[2, 10, 2, 2, 4], [v = -2^(1/2), u = 0, x = -3, y = 0, z = 3^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [
0, 0], [908093/524288, 1816187/1048576]]]], [[2, 10, 2, 2, 5], [v = -2^(1/2),
u = 0, x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-3, -3], [0, 0], [3, 3]]]], [[2, 11, 6, 3, 1], [v = -
2^(1/2), And(0 < u,u < 1), x = 0, And(u^2-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [-11/8
, -11/8], [-3, -3]]]], [[2, 11, 6, 3, 2], [v = -2^(1/2), And(0 < u,u < 1), x =
0, And(u^2-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [0, 0], [-11/8, -11/8], [-1229565/1048576, -\
307391/262144]]]], [[2, 11, 6, 3, 3], [v = -2^(1/2), And(0 < u,u < 1), x = 0,
And(u^2-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [-11/8, -11/8], [0, 0]]
]], [[2, 11, 6, 3, 4], [v = -2^(1/2), And(0 < u,u < 1), x = 0, And(u^2-3 < y,y
< 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1
/2, 1/2], [0, 0], [-11/8, -11/8], [307391/262144, 1229565/1048576]]]], [[2, 11
, 6, 3, 5], [v = -2^(1/2), And(0 < u,u < 1), x = 0, And(u^2-3 < y,y < 0), (-y)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[0, 0], [-11/8, -11/8], [3, 3]]]], [[2, 17, 8, 2, 1], [v = -2^(1/2), And(3^(1/
2) < u,u < 2), x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [
505467/1048576, 126367/262144], [-49729379/16777216, -24864689/8388608], [-3,
-3]]]], [[2, 17, 8, 2, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y
= -2*u^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144],
[-49729379/16777216, -24864689/8388608], [-825991/524288, -3303963/2097152]]]]
, [[2, 17, 8, 2, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -2*
u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576,
126367/262144], [-49729379/16777216, -24864689/8388608], [-1/4194304, -1/
4194304]]]], [[2, 17, 8, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2
-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-49729379/16777216, -24864689/8388608], [1651981/1048576, 825991/
524288]]]], [[2, 17, 8, 2, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-\
3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-49729379/16777216, -24864689/8388608], [3, 3]]]], [[2, 19, 1, 3, 1]
, [v = -2^(1/2), 2 < u, x < -u^2+1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [1/2
, 1/2], [-4, -4]]]], [[2, 19, 1, 3, 2], [v = -2^(1/2), 2 < u, x < -u^2+1, And(
0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [1/2, 1/2], [-24456785/8388608, -1528549/
524288]]]], [[2, 19, 1, 3, 3], [v = -2^(1/2), 2 < u, x < -u^2+1, And(0 < y,y <
-u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9, -9], [1/2, 1/2], [0, 0]]]], [[2
, 19, 1, 3, 4], [v = -2^(1/2), 2 < u, x < -u^2+1, And(0 < y,y < -u^2-x+1), z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-\
9, -9], [1/2, 1/2], [1528549/524288, 3057099/1048576]]]], [[2, 19, 1, 3, 5], [
v = -2^(1/2), 2 < u, x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [1/2, 1/
2], [4, 4]]]], [[3, 3, 11, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-7384677/4194304, -7384677/4194304], [0, 0]]]], [[
3, 5, 6, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152,
-558339/1048576], [0, 0], [-2, -2]]]], [[3, 5, 6, 4, 2], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-1116679/2097152, -558339/1048576], [0, 0], [-1530309/
2097152, -382577/524288]]]], [[3, 5, 6, 4, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [0,
0], [0, 0]]]], [[3, 5, 6, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2)
< u,u < v), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [0, 0], [382577/524288, 765155/1048576]]]],
[[3, 5, 6, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
= u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/
2097152, -558339/1048576], [0, 0], [2, 2]]]], [[3, 11, 8, 3, 1], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+
v^2-1), z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [987341/1048576, 987341/1048576], [0, 0], [-4194305/4194304, -4194305/
4194304], [-3, -3]]]], [[3, 11, 8, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = -(-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [0, 0], [-4194305/4194304, -4194305/4194304], [-1048577/
1048576, -1]]]], [[3, 11, 8, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/
2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [-4194305/4194304, -4194305/4194304],
[0, 0]]]], [[3, 11, 8, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = (-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [-4194305/4194304, -4194305/4194304], [1, 1048577/1048576]]]
], [[3, 11, 8, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0]
, [-4194305/4194304, -4194305/4194304], [3, 3]]]], [[3, 13, 4, 9, 1], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, 1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [2, 2], [0, 0]]]], [[3, 14, 1, 3, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[3, 14, 1, 3, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/
131072]]]], [[3, 14, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x
< -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-3, -3], [1/2, 1/2], [0, 0]]]], [[3, 14, 1, 3, 4], [And(-2^(1/2) <
v,v < -1), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[3
, 14, 1, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(0 <
y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3, -3], [1/2, 1/2], [3, 3]]]], [
[3, 15, 7, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [-250983/1048576, -125491/524288], [-1, -1]]]], [[3, 15, 7, 4
, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(0 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [-250983/1048576, -125491/524288], [0, 0]]]], [[3, 15, 7, 4, 3], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,
x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [-\
250983/1048576, -125491/524288], [1, 1]]]], [[4, 3, 10, 9, 1], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [1, 1], [1, 1], [0, 0]]]], [[4, 5, 5, 8, 1
], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -x, z < 0], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [101115/131072, 808921/1048576], [-1, -1]]]], [[4,
5, 5, 8, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -x,
z = 0], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [0, 0]]]]
, [[4, 5, 5, 8, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2),
y = -x, 0 < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [-3235683/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [1,
1]]]], [[4, 10, 1, 4, 1], [v = -1, u = 1, x < -1, y = -1-x, z < -1], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [1, 1], [-2, -2]]]], [[4, 10, 1, 4
, 2], [v = -1, u = 1, x < -1, y = -1-x, z = -1], [regular_chain, [[-1, -1], [1
, 1], [-2, -2], [1, 1], [-1, -1]]]], [[4, 10, 1, 4, 3], [v = -1, u = 1, x < -1
, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [
1, 1], [0, 0]]]], [[4, 10, 1, 4, 4], [v = -1, u = 1, x < -1, y = -1-x, z = 1],
[regular_chain, [[-1, -1], [1, 1], [-2, -2], [1, 1], [1, 1]]]], [[4, 10, 1, 4,
5], [v = -1, u = 1, x < -1, y = -1-x, 1 < z], [regular_chain, [[-1, -1], [1, 1
], [-2, -2], [1, 1], [2, 2]]]], [[4, 11, 9, 3, 1], [v = -1, And(1 < u,u < 2^(1
/2)), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
50331659/33554432, -50331659/33554432], [-3, -3]]]], [[4, 11, 9, 3, 2], [v = -\
1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[1/2, 1/2], [-50331659/33554432, -50331659/33554432], [-1048577/1048576, -1]]]
], [[4, 11, 9, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-
u^2-x < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
50331659/33554432, -50331659/33554432], [0, 0]]]], [[4, 11, 9, 3, 4], [v = -1,
And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z = (-x
-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/
2, 1/2], [-50331659/33554432, -50331659/33554432], [1, 1048577/1048576]]]], [[
4, 11, 9, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-u^2-x
< y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-50331659/33554432, -50331659/33554432
], [3, 3]]]], [[5, 2, 3, 6, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3
< x,x < -1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2,
-2], [2, 2], [-1, -1]]]], [[5, 2, 3, 6, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(
1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-3/2
, -3/2], [-2, -2], [2, 2], [0, 0]]]], [[5, 2, 3, 6, 3], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-2, -2], [2, 2], [1, 1]]]], [[5, 3, 7, 7, 1], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [243021/1048576, 243021/1048576], [243021/2097152, 
243021/2097152], [0, 0]]]], [[5, 12, 2, 4, 1], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3,
-3], [3, 3], [-1, -1]]]], [[5, 12, 2, 4, 2], [And(-1 < v,v < 0), u = (v^2+2)^(
1/2), x = -3, y = 3, z = 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -\
3], [3, 3], [0, 0]]]], [[5, 12, 2, 4, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2
), x = -3, y = 3, 0 < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3],
[3, 3], [1, 1]]]], [[5, 13, 6, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x
= 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3],
[0, 0], [31/8, 31/8], [0, 0]]]], [[6, 6, 1, 1, 1], [v = 0, u = 0, x < -1, y <
0, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-1, -1], [-\
3, -3]]]], [[6, 6, 1, 1, 2], [v = 0, u = 0, x < -1, y < 0, z = -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [0, 0], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 6, 1, 1, 3], [v = 0, u = 0, x < -1, y < 0, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-\
1, -1], [-1/4194304, -1/4194304]]]], [[6, 6, 1, 1, 4], [v = 0, u = 0, x < -1,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-1, -1],
[908093/524288, 1816187/1048576]]]], [[6, 6, 1, 1, 5], [v = 0, u = 0, x < -1,
y < 0, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [-2, -2], [-1, -1],
[3, 3]]]], [[6, 7, 8, 7, 1], [v = 0, And(0 < u,u < 1), x = 0, 0 < y, z = z], [
regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]], [[6, 11, 11, 7,
1], [v = 0, 2^(1/2) < u, u^2-1 < x, And(u^2-x-1 < y,y < 0), z = z], [
regular_chain, [[0, 0], [3, 3], [9, 9], [-1/2, -1/2], [0, 0]]]], [[7, 2, 2, 6,
1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, y = 4, z = z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-3, -3], [4, 4], [0, 0]]]], [[7, 8,
3, 4, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)]
, [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2]]]],
[[7, 8, 3, 4, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = 0, z = -(-x
)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[7, 8, 3, 4, 3], [And(0 < v,v < 1), u =
v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0]]]], [[7,
8, 3, 4, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2
)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[7, 8, 3, 4, 5], [And(0 < v,v < 1), u = v, And(-1 <
x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1
/2, -1/2], [0, 0], [2, 2]]]], [[7, 9, 10, 6, 1], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1, 1], [-1, -1], [-1, -1]]]], [[7, 9, 10,
6, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z = 0],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-1,
-1], [0, 0]]]], [[7, 9, 10, 6, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1
/2)), x = 1, y = -1, 0 < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-1, -1], [1, 1]]]], [[7, 10, 8, 3, 1], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-2, -2]
, [-2, -2]]]], [[7, 10, 8, 3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1,
And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [1, 1], [-2, -2], [-1, -1]]]], [[7, 10, 8, 3, 3], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1
/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [1, 1], [-2, -2], [0, 0]]]], [[7, 10, 8, 3, 4], [And(0 < v,v <
1), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-2, -2]
, [1, 1]]]], [[7, 10, 8, 3, 5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, 
And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [1, 1], [-2, -2], [2, 2]]]], [[7, 12, 2, 1, 1], [And(
0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [-1, -1], [-3, -3]]]], [[7,
12, 2, 1, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, y < 0, z = -(3-y)^
(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-3, -3], [-1, -1], [-2, -2]]
]], [[7, 12, 2, 1, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -3, y < 0, 
And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2
], [-3, -3], [-1, -1], [0, 0]]]], [[7, 12, 2, 1, 4], [And(0 < v,v < 1), u = (v
^2+2)^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/
2, 3/2], [-3, -3], [-1, -1], [2, 2]]]], [[7, 12, 2, 1, 5], [And(0 < v,v < 1),
u = (v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [3/2, 3/2], [-3, -3], [-1, -1], [3, 3]]]], [[8, 4, 6, 1, 1], [v = 1, u = -2
^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [0, 0], [-3, -3], [-3, -3]]]], [[8, 4, 6, 1, 2], [v
= 1, u = -2^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[1, 1], [
-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 4, 6, 1, 3], [v = 1, u = -2^(1/2), x = 0, y < -2, 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[8,
4, 6, 1, 4], [v = 1, u = -2^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0], [-3, -3],
[908093/524288, 1816187/1048576]]]], [[8, 4, 6, 1, 5], [v = 1, u = -2^(1/2), x
= 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [0, 0], [-3, -3], [3, 3]]]], [[8, 5, 11, 5, 1], [v = 1, And(-2
^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
4763569/2097152, -4763569/2097152], [-2, -2]]]], [[8, 5, 11, 5, 2], [v = 1, 
And(-2^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
4763569/2097152, -4763569/2097152], [-273157/524288, -1092627/2097152]]]], [[8
, 5, 11, 5, 3], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-4763569/2097152, -4763569/
2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 11, 5, 4], [v = 1, And(-2^(1/2)
< u,u < -1), 1 < x, And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-4763569/2097152, -\
4763569/2097152], [546313/1048576, 273157/524288]]]], [[8, 5, 11, 5, 5], [v =
1, And(-2^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
4763569/2097152, -4763569/2097152], [2, 2]]]], [[8, 11, 1, 4, 1], [v = 1, And(
1 < u,u < 2^(1/2)), x < -u^2, y = -u^2-x, z < -u], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [1617841/1048576, 808921/524288],
[-3, -3]]]], [[8, 11, 1, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y =
-u^2-x, z = -u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-3, -3], [1617841/1048576, 808921/524288], [-1265743/1048576, -1265743/
1048576]]]], [[8, 11, 1, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y =
-u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743
/1048576], [-3, -3], [1617841/1048576, 808921/524288], [0, 0]]]], [[8, 11, 1,
4, 4], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -u^2-x, z = u], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [1617841
/1048576, 808921/524288], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 1, 4
, 5], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -u^2-x, u < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [1617841
/1048576, 808921/524288], [3, 3]]]], [[8, 12, 4, 6, 1], [v = 1, u = 2^(1/2), x
= -1, y = 1, z < 0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [-1, -1], [1, 1], [-1, -1]]]], [[8, 12, 4, 6, 2], [v = 1, u = 2^(1/2), x = -\
1, y = 1, z = 0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [
-1, -1], [1, 1], [0, 0]]]], [[8, 12, 4, 6, 3], [v = 1, u = 2^(1/2), x = -1, y
= 1, 0 < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -\
1], [1, 1], [1, 1]]]], [[9, 2, 8, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)
^(1/2), x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [0, 0], [0, 0]]]], [[9
, 4, 2, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, y = 2, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-2, -2], [2, 2], [-1, -1]]]], [[9, 4, 2, 4, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2
], [2, 2], [0, 0]]]], [[9, 4, 2, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-2, -2], [2, 2], [1, 1]]]], [[9
, 12, 7, 6, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [2, 2], [0, 0], [0, 0]]]], [[9, 14, 4, 1, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2+1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1],
[-2, -2], [-3, -3]]]], [[9, 14, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)
^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-2, -2], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 14, 4, 1, 3], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 14, 4, 1
, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y < -1, z = (1-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[9,
14, 4, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -1, y < -1, (1-y
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-1, -1], [-2, -2], [3, 3]]]], [[10, 2, 8, 1, 1], [v
= 2^(1/2), u = -2, x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [1, 1], [-5, -5], [-3, -3]]]], [[10, 2, 8
, 1, 2], [v = 2^(1/2), u = -2, x = 1, y < -4, z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-5, -5],
[-2, -2]]]], [[10, 2, 8, 1, 3], [v = 2^(1/2), u = -2, x = 1, y < -4, And(-(-y-\
1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [-5, -5], [0, 0]]]], [[10, 2, 8, 1, 4], [v = 2^(1/
2), u = -2, x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [1, 1], [-5, -5], [2, 2]]]], [[10, 2, 8, 1, 5], [v
= 2^(1/2), u = -2, x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1, 1], [-5, -5], [3, 3]]]], [[10, 4, 1, 6
, 1], [v = 2^(1/2), u = -3^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3
], [3, 3], [-1, -1]]]], [[10, 4, 1, 6, 2], [v = 2^(1/2), u = -3^(1/2), x < -2,
y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3, -3], [3, 3], [0, 0]]]], [[10, 4, 1, 6, 3], [v
= 2^(1/2), u = -3^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [3,
3], [1, 1]]]], [[10, 8, 9, 7, 1], [v = 2^(1/2), u = -1, 1 < x, 0 < y, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [2, 2], [1, 1], [
0, 0]]]], [[10, 10, 3, 5, 1], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(0 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [1, 1], [-2, -2]]]], [[10, 10, 3, 5, 2], [v = 2^(1
/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [1, 1], [-\
1, -1]]]], [[10, 10, 3, 5, 3], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [1, 1], [0, 0]]]], [[10, 10
, 3, 5, 4], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -\
2], [1, 1], [1, 1]]]], [[10, 10, 3, 5, 5], [v = 2^(1/2), u = 0, And(-3 < x,x <
-1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-2, -2], [1, 1], [2, 2]]]], [[10, 16, 3, 4, 1], [v
= 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[10, 16, 3, 4, 2], [v = 2^(1/2),
u = 3^(1/2), And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2
], [0, 0], [-1284239/1048576, -642119/524288]]]], [[10, 16, 3, 4, 3], [v = 2^(
1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[10, 16, 3, 4, 4], [v = 2^
(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3/2,
-3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[10, 16, 3, 4, 5], [v = 2
^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[10, 17, 9, 5, 1], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-x < y,y < u^2-x-3), z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-1048577/2097152, -1048577/2097152]
, [0, 0]]]], [[10, 18, 5, 2, 1], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y = -
x-3, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[10, 18, 5, 2, 2], [v = 2^(1/2), u =
2, And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [2, 2], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 18, 5, 2, 3], [v = 2^(1/2), u = 2, And(-1 < x,x < 0
), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [2, 2], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]
]]], [[10, 18, 5, 2, 4], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y = -x-3, z =
3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1
/2], [-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[10, 18, 5, 2, 5], [v
= 2^(1/2), u = 2, And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]
], [[10, 19, 9, 7, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(0 < y,y
< u^2-x-3), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[7/2, 7/2], [5/4, 5/4], [0, 0]]]], [[11, 6, 4, 5, 1], [2^(1/2) < v, u = -v, x
= 0, 0 < y, z = z], [regular_chain, [[3, 3], [-3, -3], [0, 0], [1, 1], [0, 0]]
]], [[11, 7, 11, 9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, 0
< y, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2
, 2], [1, 1], [0, 0]]]], [[11, 12, 3, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [2774271/1048576, 10837/4096], [-2, -2], [1, 1], [-2, -2]]]], [[11, 12,
3, 5, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096]
, [-2, -2], [1, 1], [-1, -1]]]], [[11, 12, 3, 5, 3], [2^(1/2) < v, u = (v^2-2)
^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [
1, 1], [0, 0]]]], [[11, 12, 3, 5, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3
< x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-2, -2], [1, 1], [1, 1]]]], [[11, 12, 3, 5, 5],
[2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2],
[1, 1], [2, 2]]]], [[11, 13, 8, 1, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [-5, -5], [-4, -4]]]], [[11, 13, 8, 1, 2], [2^(1/2) < v, And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u
^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[133259/262144, 533037/1048576], [-5, -5], [-2222303/1048576, -1111151/524288]
]]], [[11, 13, 8, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)
), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-
y+1)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
133259/262144, 533037/1048576], [-5, -5], [0, 0]]]], [[11, 13, 8, 1, 4], [2^(1
/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2
*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [133259/262144, 533037/1048576], [-5, -5], [1111151/524288, 
2222303/1048576]]]], [[11, 13, 8, 1, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/262144, 
533037/1048576], [-5, -5], [4, 4]]]], [[11, 19, 9, 7, 1], [2^(1/2) < v, And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1
< y,y < 0), z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576
], [1566621/2097152, 1566621/2097152], [-132633/1048576, -132633/1048576], [0,
0]]]], [[11, 21, 3, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x
,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [5, 5], [-9, -9], [-4, -4], [-5, -5]]]], [[11, 21, 3, 3, 2], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-4, -4], [-\
3780695/1048576, -7561389/2097152]]]], [[11, 21, 3, 3, 3], [2^(1/2) < v, (v^2+
2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-9, -9],
[-4, -4], [-1/4194304, -1/4194304]]]], [[11, 21, 3, 3, 4], [2^(1/2) < v, (v^2+
2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x
-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-4, -4], [1890347/
524288, 3780695/1048576]]]], [[11, 21, 3, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[3, 3], [5, 5], [-9, -9], [-4, -4], [5, 5]]]], [[1, 4, 9, 2,
1], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [-4, -4],
[-3, -3]]]], [[1, 4, 9, 2, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y = -
x-2, z = -2^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[1, 4, 9, 2,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2
^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2, 2]
, [-4, -4], [0, 0]]]], [[1, 4, 9, 2, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1
< x, y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[1, 4,
9, 2, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [-4, -4],
[3, 3]]]], [[1, 6, 2, 5, 1], [v < -2^(1/2), u = v, x = -1, 1 < y, z = z], [
regular_chain, [[-3, -3], [-3, -3], [-1, -1], [2, 2], [0, 0]]]], [[1, 12, 2, 2
, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [0, 0], [-3
, -3]]]], [[1, 12, 2, 2, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, y = 0,
z = -3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3,
-3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[1, 12, 2, 2, 3], [v <
-2^(1/2), u = (v^2-2)^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [0, 0], [-1
/4194304, -1/4194304]]]], [[1, 12, 2, 2, 4], [v < -2^(1/2), u = (v^2-2)^(1/2),
x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[1, 12, 2
, 2, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [0, 0], [3,
3]]]], [[1, 13, 6, 3, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [0, 0], [-657547/524288, -657547/524288
], [-3, -3]]]], [[1, 13, 6, 3, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-657547/
524288, -657547/524288], [-1174299/1048576, -587149/524288]]]], [[1, 13, 6, 3,
3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^
2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [0, 0], [-657547/524288, -657547/524288],
[0, 0]]]], [[1, 13, 6, 3, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [0, 0], [-657547/524288, -657547/
524288], [587149/524288, 1174299/1048576]]]], [[1, 13, 6, 3, 5], [v < -2^(1/2)
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), (
-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [
0, 0], [-657547/524288, -657547/524288], [3, 3]]]], [[1, 18, 2, 3, 1], [v < -2
^(1/2), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [1, 1], [
-2, -2]]]], [[1, 18, 2, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, And(0
< y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[1, 18, 2, 3, 3], [v < -2^(1
/2), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-
y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -\
2], [1, 1], [0, 0]]]], [[1, 18, 2, 3, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x
= -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-2, -2], [1, 1], [1, 1]]]], [[1, 18, 2, 3, 5], [v <
-2^(1/2), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [1, 1], [
2, 2]]]], [[1, 19, 8, 2, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [-200527383/67108864, -100263691/33554432], [-3, -3]]]], [[1,
19, 8, 2, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2
-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-\
200527383/67108864, -100263691/33554432], [-1655969/1048576, -3311937/2097152]
]]], [[1, 19, 8, 2, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/262144, 518045/1048576], [-200527383/67108864, -100263691/33554432], [-\
1/4194304, -1/4194304]]]], [[1, 19, 8, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/
262144, 518045/1048576], [-200527383/67108864, -100263691/33554432], [51749/
32768, 1655969/1048576]]]], [[1, 19, 8, 2, 5], [v < -2^(1/2), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/
262144, 518045/1048576], [-200527383/67108864, -100263691/33554432], [3, 3]]]]
, [[2, 3, 11, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-x <
y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3913339/2097152, -3913339/2097152], [2, 2], [-3688837/2097152, -3688837/
2097152], [0, 0]]]], [[2, 5, 6, 4, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = u^2-3, y = 0, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/524288, -\
1101539/2097152], [0, 0], [-2, -2]]]], [[2, 5, 6, 4, 2], [v = -2^(1/2), And(-3
^(1/2) < u,u < v), x = u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [0, 0], [-379975/524288, -1519899/2097152]]]
], [[2, 5, 6, 4, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, y = 0,
And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[2, 5, 6, 4,
4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, y = 0, z = (-u^2+3)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [0, 0], [759949/1048576,
379975/524288]]]], [[2, 5, 6, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x
= u^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/524288, -\
1101539/2097152], [0, 0], [2, 2]]]], [[2, 6, 3, 5, 1], [v = -2^(1/2), u = v, 
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [1/4, 1/4], [-2, -2]]]], [[2, 6, 3, 5, 2], [v = -2^(1/2), u = v, And(-1
< x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [1
/4, 1/4], [-1/2, -1/2]]]], [[2, 6, 3, 5, 3], [v = -2^(1/2), u = v, And(-1 < x,
x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2, 6, 3, 5, 4], [v = -2^(1/2)
, u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 6, 3, 5, 5], [v = -2^(
1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[2, 7, 10, 7, 1], [v = -2^(1/2
), And(v < u,u < -1), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1]
, [-1/2, -1/2], [0, 0]]]], [[2, 13, 9, 1, 1], [v = -2^(1/2), And(1 < u,u < -v)
, And(0 < x,x < 1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/
2], [-4, -4], [-3, -3]]]], [[2, 13, 9, 1, 2], [v = -2^(1/2), And(1 < u,u < -v)
, And(0 < x,x < 1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/
2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[2, 13, 9, 1, 3], [v = -
2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y < u^2-x-3, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[2, 13, 9
, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y < u^2-x-3, z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/
1048576]]]], [[2, 13, 9, 1, 5], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x
< 1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4, -4], [3,
3]]]], [[2, 15, 5, 5, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x
< u^2-3), And(0 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [124451/1048576, 124451/1048576], [-2, -2]
]]], [[2, 15, 5, 5, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x <
u^2-3), And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [124451/1048576, 124451/1048576], [-1682881/
2097152, -3365761/4194304]]]], [[2, 15, 5, 5, 3], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [
124451/1048576, 124451/1048576], [-1/8388608, -1/8388608]]]], [[2, 15, 5, 5, 4
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(0 < y,y
< u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [124451/1048576, 124451/1048576], [26295/32768, 841441/1048576]]]],
[[2, 15, 5, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-\
3), And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [124451/1048576, 124451/1048576], [2, 2]]]], [[2,
19, 8, 7, 1], [v = -2^(1/2), 2 < u, x = 1, And(0 < y,y < u^2-4), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [5/2, 5/2]
, [0, 0]]]], [[3, 1, 10, 6, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [6860721/1048576, 3430361/524288], [0, 0], [0, 0]]]], [[3,
7, 10, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1,
And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1/2, -1/2], [0, 0]]]
], [[3, 9, 5, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[3
, 9, 5, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[3, 9, 5, 6,
3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(
-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 17, 8, 1, 1], [And
(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, z < -(-y-1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1],
[-11, -11], [-5, -5]]]], [[3, 17, 8, 1, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)
^(1/2) < u, x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-11, -11], [-3315889/
1048576, -207243/65536]]]], [[3, 17, 8, 1, 3], [And(-2^(1/2) < v,v < -1), (v^2
+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-11,
-11], [0, 0]]]], [[3, 17, 8, 1, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) <
u, x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [1, 1], [-11, -11], [207243/65536, 3315889
/1048576]]]], [[3, 17, 8, 1, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [1, 1], [-11, -11], [5, 5]]]], [[4, 1, 9, 9, 1], [v
= -1, u < -3^(1/2), And(1 < x,x < u^2-2), u^2-x-2 < y, z = z], [regular_chain,
[[-1, -1], [-3, -3], [4, 4], [4, 4], [0, 0]]]], [[4, 7, 10, 3, 1], [v = -1, 
And(-1 < u,u < 0), x = 1, And(u^2-3 < y,y < -u^2-1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-2, -2], [-2, -2]]]], [[4, 7,
10, 3, 2], [v = -1, And(-1 < u,u < 0), x = 1, And(u^2-3 < y,y < -u^2-1), z = -
(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-2, -2], [-1,
-1]]]], [[4, 7, 10, 3, 3], [v = -1, And(-1 < u,u < 0), x = 1, And(u^2-3 < y,y
< -u^2-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [1, 1], [-2, -2], [0, 0]]]], [[4, 7, 10, 3, 4], [v = -1, And(-\
1 < u,u < 0), x = 1, And(u^2-3 < y,y < -u^2-1), z = (-y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-2, -2], [1, 1]]]], [[4, 7, 
10, 3, 5], [v = -1, And(-1 < u,u < 0), x = 1, And(u^2-3 < y,y < -u^2-1), (-y-1
)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-2, -2], [2, 2
]]]], [[4, 9, 5, 2, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = u
^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5
/8], [-9/8, -9/8], [-3, -3]]]], [[4, 9, 5, 2, 2], [v = -1, And(0 < u,u < 1), 
And(-1 < x,x < -u^2), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1/2, 1/2], [-5/8, -5/8], [-9/8, -9/8], [-10837/8192, -1387135/1048576]]]
], [[4, 9, 5, 2, 3], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = u^2-
x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1],
[1/2, 1/2], [-5/8, -5/8], [-9/8, -9/8], [0, 0]]]], [[4, 9, 5, 2, 4], [v = -1,
And(0 < u,u < 1), And(-1 < x,x < -u^2), y = u^2-x-2, z = (-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-9/8, -9/8], [1387135/
1048576, 10837/8192]]]], [[4, 9, 5, 2, 5], [v = -1, And(0 < u,u < 1), And(-1 <
x,x < -u^2), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1/2
, 1/2], [-5/8, -5/8], [-9/8, -9/8], [3, 3]]]], [[4, 13, 11, 7, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(u^2-x-2 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2], [-799673
/1048576, -799673/1048576], [0, 0]]]], [[4, 15, 4, 8, 1], [v = -1, 3^(1/2) < u
, x = -1, y = u^2-1, z = z], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [8,
8], [0, 0]]]], [[5, 5, 10, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-1672995/1048576, -\
3345989/2097152], [-2, -2]]]], [[5, 5, 10, 4, 2], [And(-1 < v,v < 0), And(-(v^
2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1672995/1048576, -3345989/2097152], [-1618333/2097152, -3236665/4194304]]]], [
[5, 5, 10, 4, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y
= u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1672995/1048576, -3345989/2097152], [-1/8388608, -1/8388608]]]], [[5, 5, 10, 4
, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [1, 1], [-1672995/1048576, -3345989/2097152], [404583/524288
, 809167/1048576]]]], [[5, 5, 10, 4, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2
) < u,u < v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [
[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-1672995/1048576,
-3345989/2097152], [2, 2]]]], [[5, 7, 7, 1, 1], [And(-1 < v,v < 0), And(v < u,
u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-2, -2], [-3, -3]]]], [[5
, 7, 7, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0
), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-3/8, -3/8], [-2, -2], [-3231929/2097152, -403991/262144]]]], [[5, 7, 7, 1, 3
], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v
^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2
], [0, 0], [-3/8, -3/8], [-2, -2], [0, 0]]]], [[5, 7, 7, 1, 4], [And(-1 < v,v
< 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-2, -2], [
403991/262144, 1615965/1048576]]]], [[5, 7, 7, 1, 5], [And(-1 < v,v < 0), And(
v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-2, -2], [3, 3]]]], [[5,
8, 3, 7, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [2, 2], [0, 0]]]], [[5
, 9, 10, 9, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 1, 0 <
y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[1, 1], [1, 1], [0, 0]]]], [[6, 2, 5, 3, 1], [v = 0, u = -2^(1/2), And(-1 < x,
x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[6
, 2, 5, 3, 2], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[6, 2, 5, 3,
3], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[6, 2, 5, 3, 4], [v =
0, u = -2^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-5/
4, -5/4], [1387135/1048576, 10837/8192]]]], [[6, 2, 5, 3, 5], [v = 0, u = -2^(
1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-5/
4, -5/4], [3, 3]]]], [[6, 3, 9, 6, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(u
^2-1 < x,x < 1), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [-284633/
1048576, -35579/131072], [0, 0]]]], [[6, 8, 6, 1, 1], [v = 0, u = 1, x = 0, y
< -2, z < -(-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [-3, -3], [-3
, -3]]]], [[6, 8, 6, 1, 2], [v = 0, u = 1, x = 0, y < -2, z = -(-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[6, 8, 6, 1, 3], [v = 0, u = 1, x = 0, y < -2, And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [0, 0], [-3, -3], [-1/
4194304, -1/4194304]]]], [[6, 8, 6, 1, 4], [v = 0, u = 1, x = 0, y < -2, z = (
-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [-3, -3], [908093/524288,
1816187/1048576]]]], [[6, 8, 6, 1, 5], [v = 0, u = 1, x = 0, y < -2, (-y)^(1/2
) < z], [regular_chain, [[0, 0], [1, 1], [0, 0], [-3, -3], [3, 3]]]], [[6, 9,
11, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, y < -u^2-x-1, z < -(-x-y)^(1
/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [-6
, -6], [-3, -3]]]], [[6, 9, 11, 1, 2], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x,
y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [2, 2], [-6, -6], [-2, -2]]]], [[6, 9, 11, 1, 3], [v = 0, 
And(1 < u,u < 2^(1/2)), 1 < x, y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2],
[-6, -6], [0, 0]]]], [[6, 9, 11, 1, 4], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x,
y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [2, 2], [-6, -6], [2, 2]]]], [[6, 9, 11, 1, 5], [v = 0, And(
1 < u,u < 2^(1/2)), 1 < x, y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[
0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [-6, -6], [3, 3]]]], [[7, 4
, 4, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0),
z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[7, 4, 4, 3, 2], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1/
2, -1/2], [-1284239/1048576, -642119/524288]]]], [[7, 4, 4, 3, 3], [And(0 < v,
v < 1), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[7, 4, 4, 3, 4], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1/
2, -1/2], [642119/524288, 1284239/1048576]]]], [[7, 4, 4, 3, 5], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1/
2, -1/2], [3, 3]]]], [[7, 5, 9, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]
], [[8, 1, 2, 3, 1], [v = 1, u < -3^(1/2), x = -u^2, And(0 < y,y < u^2), z < -
(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [9/2, 9/2], [-4,
-4]]]], [[8, 1, 2, 3, 2], [v = 1, u < -3^(1/2), x = -u^2, And(0 < y,y < u^2),
z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [9/2, 9/2],
[-1112183/524288, -2224365/1048576]]]], [[8, 1, 2, 3, 3], [v = 1, u < -3^(1/2)
, x = -u^2, And(0 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [-9, -9], [9/2, 9/2], [0, 0]]]], [[8, 1, 2,
3, 4], [v = 1, u < -3^(1/2), x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)],
[regular_chain, [[1, 1], [-3, -3], [-9, -9], [9/2, 9/2], [2224365/1048576, 
1112183/524288]]]], [[8, 1, 2, 3, 5], [v = 1, u < -3^(1/2), x = -u^2, And(0 <
y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [
9/2, 9/2], [4, 4]]]], [[8, 2, 4, 8, 1], [v = 1, u = -3^(1/2), x = -1, y = 2, z
= z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1],
[2, 2], [0, 0]]]], [[8, 8, 5, 2, 1], [v = 1, u = 0, And(-1 < x,x < 0), y = -x-\
2, z < -2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3/2, -3/2],
[-3, -3]]]], [[8, 8, 5, 2, 2], [v = 1, u = 0, And(-1 < x,x < 0), y = -x-2, z =
-2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[8, 8, 5, 2, 3], [v = 1, u = 0, And(-1 <
x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [
0, 0], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[8, 8, 5, 2, 4], [v = 1, u = 0,
And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-\
1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[8, 8, 5, 2, 5
], [v = 1, u = 0, And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [
[1, 1], [0, 0], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[8, 9, 10, 8, 1], [v =
1, And(0 < u,u < 1), x = 1, y = 0, z = z], [regular_chain, [[1, 1], [1/2, 1/2]
, [1, 1], [0, 0], [0, 0]]]], [[8, 14, 5, 9, 1], [v = 1, u = 3^(1/2), And(-1 <
x,x < 0), 1-x < y, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[8, 15, 10, 5, 1], [v = 1, 3^(1/2)
< u, x = u^2-2, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[1, 1], [3, 3]
, [7, 7], [-7/2, -7/2], [0, 0]]]], [[9, 6, 5, 5, 1], [And(1 < v,v < 2^(1/2)),
u = -v, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2],
[-1/4, -1/4], [0, 0]]]], [[9, 8, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-\
1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3
], [2, 2], [-2, -2]]]], [[9, 8, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3
], [2, 2], [-1, -1]]]], [[9, 8, 1, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [2, 2], [0, 0]]]], [[9, 8, 1, 5, 4], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [2, 2], [1, 1]]]], [[9, 8, 1, 5, 5], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [2, 2], [2, 2]]]], [[9, 9, 1, 5, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^
2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-4, -4], [2906073/1048576, 2906073/1048576], [-3, -\
3]]]], [[9, 9, 1, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [
2906073/1048576, 2906073/1048576], [-1162243/1048576, -581121/524288]]]], [[9,
9, 1, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -\
4], [2906073/1048576, 2906073/1048576], [0, 0]]]], [[9, 9, 1, 5, 4], [And(1 <
v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(
u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-4, -4], [2906073/1048576, 2906073/1048576], [
581121/524288, 1162243/1048576]]]], [[9, 9, 1, 5, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [-4, -4], [2906073/1048576, 2906073/1048576], [3, 3]]]], [[9, 10, 4
, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, 1 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [2, 2], [0, 0]]]], [[9, 16, 5, 3, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[9, 16, 5, 3, 2],
[And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -\
1387135/1048576]]]], [[9, 16, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536,
1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[9, 16, 5, 3, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576,
10837/8192]]]], [[9, 16, 5, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/
2], [-5/4, -5/4], [3, 3]]]], [[9, 17, 9, 8, 1], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152,
7909297/2097152], [363259/131072, 2906073/1048576], [0, 0]]]], [[10, 5, 1, 6,
1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = u^2-x-3, z < -(-u^
2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-3, -3], [1297479/524288, 2594959/1048576], [-2,
-2]]]], [[10, 5, 1, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1,
y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [1297479/524288, 
2594959/1048576], [-379975/524288, -1519899/2097152]]]], [[10, 5, 1, 6, 3], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = u^2-x-3, And(-(-u^2+3)^(1
/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [-3, -3], [1297479/524288, 2594959/
1048576], [-1/4194304, -1/4194304]]]], [[10, 5, 1, 6, 4], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), x < -u^2+1, y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [1297479/524288, 2594959/1048576], [759949/1048576, 379975
/524288]]]], [[10, 5, 1, 6, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u
^2+1, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [1297479/
524288, 2594959/1048576], [2, 2]]]], [[10, 6, 5, 3, 1], [v = 2^(1/2), u = -v,
And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2
], [-1, -1], [-2, -2]]]], [[10, 6, 5, 3, 2], [v = 2^(1/2), u = -v, And(0 < x,x
< 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1,
-1], [-1482911/2097152, -741455/1048576]]]], [[10, 6, 5, 3, 3], [v = 2^(1/2),
u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1, -1], [0, 0]]]], [[10, 6, 5, 3, 4],
[v = 2^(1/2), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [[10,
6, 5, 3, 5], [v = 2^(1/2), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1, -1], [2, 2]]]], [[10, 12, 4, 3, 1],
[v = 2^(1/2), u = 1, x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-1/2, -1/
2], [-3, -3]]]], [[10, 12, 4, 3, 2], [v = 2^(1/2), u = 1, x = -1, And(-1 < y,y
< 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[10, 12,
4, 3, 3], [v = 2^(1/2), u = 1, x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[-1, -1], [-1/2, -1/2], [0, 0]]]], [[10, 12, 4, 3, 4], [v = 2^(1/2), u = 1, x
= -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/
1048576]]]], [[10, 12, 4, 3, 5], [v = 2^(1/2), u = 1, x = -1, And(-1 < y,y < 0
), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [-1, -1], [-1/2, -1/2], [3, 3]]]], [[10, 13, 10, 2, 1], [v = 2^(1/2), And(1
< u,u < v), x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-\
5332835/2097152, -2666417/1048576], [-3, -3]]]], [[10, 13, 10, 2, 2], [v = 2^(
1/2), And(1 < u,u < v), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1
], [-5332835/2097152, -2666417/1048576], [-1302471/1048576, -651235/524288]]]]
, [[10, 13, 10, 2, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = u^2-4, And(-
(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-5332835/
2097152, -2666417/1048576], [0, 0]]]], [[10, 13, 10, 2, 4], [v = 2^(1/2), And(
1 < u,u < v), x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-\
5332835/2097152, -2666417/1048576], [651235/524288, 1302471/1048576]]]], [[10,
13, 10, 2, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, y = u^2-4, (-u^2+3)^(1/2
) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-5332835/2097152, -2666417/1048576], [3, 3]]]], [[
11, 2, 7, 9, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(0 < x,x < 1), 1-x < y,
z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1/2, 1/
2], [2, 2], [0, 0]]]], [[11, 4, 1, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x
< -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-3, -3], [2, 2], [-2, -2]]]], [[11, 4, 1, 5,
2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3]
, [2, 2], [-1, -1]]]], [[11, 4, 1, 5, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x
< -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [2, 2], [
0, 0]]]], [[11, 4, 1, 5, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(-x-\
2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576,
-207243/65536], [-3, -3], [2, 2], [1, 1]]]], [[11, 4, 1, 5, 5], [2^(1/2) < v,
u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [2, 2], [
2, 2]]]], [[11, 10, 3, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x <
-1), y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[11, 10, 3, 2, 2], [2^(1/2
) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-1, -\
1], [-1816187/1048576, -3632373/2097152]]]], [[11, 10, 3, 2, 3], [2^(1/2) < v,
u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2)
)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [
-1, -1], [-1/4194304, -1/4194304]]]], [[11, 10, 3, 2, 4], [2^(1/2) < v, u = -(
v^2-2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-1, -1], [908093/524288,
1816187/1048576]]]], [[11, 10, 3, 2, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And
(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[11, 11, 7, 7, 1],
[2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And
(0 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2],
[15/4, 15/4], [0, 0]]]], [[11, 15, 10, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2],
[-2, -2]]]], [[11, 15, 10, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = -(-y-1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2], [-1, -1]]]], [[
11, 15, 10, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, And(u^2-
v^2-2 < y,y < -u^2+v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2],
[0, 0]]]], [[11, 15, 10, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-2, -2], [1, 1]]]], [[11, 
15, 10, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-\
2 < y,y < -u^2+v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [1, 1], [-2, -2], [2, 2]]]], [[11, 17, 7, 4, 1], [2
^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^
2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399
/262144], [-2, -2]]]], [[11, 17, 7, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)
^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-265597/1048576, -66399/262144], [-373161/524288, -1492643/
2097152]]]], [[11, 17, 7, 4, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [-1/
4194304, -1/4194304]]]], [[11, 17, 7, 4, 4], [2^(1/2) < v, And(v < u,u < (v^2+
1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-265597/1048576, -66399/262144], [746321/1048576, 373161/
524288]]]], [[11, 17, 7, 4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-265597/1048576, -66399/262144], [2, 2]]]], [[1, 1, 4, 5, 1
], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/
2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [1/2, 1/2], [-2, -2]]]], [
[1, 1, 4, 5, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1),
z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [1/2, 1/2],
[-1482911/2097152, -741455/1048576]]]], [[1, 1, 4, 5, 3], [v < -2^(1/2), u < -
(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1,
1, 4, 5, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z =
(1-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[1, 1, 4, 5, 5], [v < -2^(1/2), u < -(v^2+2)
^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3],
[-5, -5], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 2, 6, 4, 1], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [0, 0], [0, 0], [-1, -1]]]], [[1, 2, 6, 4, 2], [v <
-2^(1/2), u = -(v^2+2)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3],
[-1738867/524288, -3477733/1048576], [0, 0], [0, 0], [0, 0]]]], [[1, 2, 6, 4,
3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [
[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0], [0, 0], [1, 1]]]], [[1,
8, 8, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z <
-(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [1, 1], [-2, -2], [-2, -2]]]], [[1, 8, 8, 3, 2], [v < -2^(1/2), u =
-(v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [-2, -2], [-1, -1]]]
], [[1, 8, 8, 3, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, And(-3 < y,y <
-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [-2, -2], [0, 0]]]], [[1, 8, 8, 3
, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)
^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1,
1], [-2, -2], [1, 1]]]], [[1, 8, 8, 3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2),
x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [-2, -2], [2, 2]]]], [[1, 10, 1,
6, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3, y = -x, z < 0], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-4, -4], [4,
4], [-1, -1]]]], [[1, 10, 1, 6, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x < -3,
y = -x, z = 0], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576
], [-4, -4], [4, 4], [0, 0]]]], [[1, 10, 1, 6, 3], [v < -2^(1/2), u = -(v^2-2)
^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[-3, -3], [-5548543/2097152,
-2774271/1048576], [-4, -4], [4, 4], [1, 1]]]], [[1, 14, 3, 3, 1], [v < -2^(1/
2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1
/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2
], [-1/4, -1/4], [-3, -3]]]], [[1, 14, 3, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1
/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-1/
4, -1/4], [-10837/8192, -1387135/1048576]]]], [[1, 14, 3, 3, 3], [v < -2^(1/2)
, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[1, 14, 3, 3, 4], [v < -2^(1
/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1
/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2
], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[1, 14, 3, 3, 5], [v < -2^
(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3
/2], [-1/4, -1/4], [3, 3]]]], [[1, 15, 8, 7, 1], [v < -2^(1/2), And((v^2-1)^(1
/2) < u,u < -v), x = 0, 0 < y, z = z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [0, 0], [1, 1], [0, 0]]]], [[1, 21, 8, 8, 1], [v <
-2^(1/2), (v^2+2)^(1/2) < u, x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[-\
3, -3], [5, 5], [1, 1], [14, 14], [0, 0]]]], [[2, 1, 10, 7, 1], [v = -2^(1/2),
u < -2, x = u^2-3, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [6, 6], [1, 1], [0, 0]]]], [[2, 10, 2, 1, 1], [v = -2^(1/2)
, u = 0, x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-3, -3], [-1, -1], [-3, -3]]]], [[2, 10, 2, 1, 2], [
v = -2^(1/2), u = 0, x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-1, -1], [-2, -2]]]], [[2
, 10, 2, 1, 3], [v = -2^(1/2), u = 0, x = -3, y < 0, And(-(3-y)^(1/2) < z,z <
(3-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-\
3, -3], [-1, -1], [0, 0]]]], [[2, 10, 2, 1, 4], [v = -2^(1/2), u = 0, x = -3,
y < 0, z = (3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [-3, -3], [-1, -1], [2, 2]]]], [[2, 10, 2, 1, 5], [v = -2^(1/2), u = 0
, x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [0, 0], [-3, -3], [-1, -1], [3, 3]]]], [[2, 11, 6, 2, 1], [v = -2^(1
/2), And(0 < u,u < 1), x = 0, y = u^2-3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [-11/4, -11/4], [-3,
-3]]]], [[2, 11, 6, 2, 2], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y = u^2-3,
z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [0, 0], [-11/4, -11/4], [-1738867/1048576, -3477733/2097152]]]], [[2,
11, 6, 2, 3], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y = u^2-3, And(-(-u^2+3)
^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [0, 0], [-11/4, -11/4], [-1/4194304, -1/4194304]]]], [[2,
11, 6, 2, 4], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y = u^2-3, z = (-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0
], [-11/4, -11/4], [869433/524288, 1738867/1048576]]]], [[2, 11, 6, 2, 5], [v
= -2^(1/2), And(0 < u,u < 1), x = 0, y = u^2-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [-11/4
, -11/4], [3, 3]]]], [[2, 17, 8, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [-28908433/16777216, -28908433/
16777216], [-3, -3]]]], [[2, 17, 8, 3, 2], [v = -2^(1/2), And(3^(1/2) < u,u <
2), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [-28908433/16777216, -28908433/
16777216], [-4563/4096, -1168127/1048576]]]], [[2, 17, 8, 3, 3], [v = -2^(1/2)
, And(3^(1/2) < u,u < 2), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-
y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-28908433/16777216, -28908433/16777216], [0, 0]]]], [[2, 17, 8, 3, 4
], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(-2*u^2+4 < y,y < -u^2
+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-\
28908433/16777216, -28908433/16777216], [1168127/1048576, 4563/4096]]]], [[2,
17, 8, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(-2*u^2+4 <
y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-28908433/16777216, -28908433/16777216], [3, 3]]]], [[2, 19, 1, 4, 1
], [v = -2^(1/2), 2 < u, x < -u^2+1, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [1, 1],
[-4, -4]]]], [[2, 19, 1, 4, 2], [v = -2^(1/2), 2 < u, x < -u^2+1, y = -u^2-x+1
, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [-9, -9], [1, 1], [-2965821/1048576, -11863283/4194304]]]], [[2, 19, 1,
4, 3], [v = -2^(1/2), 2 < u, x < -u^2+1, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,
z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3,
3], [-9, -9], [1, 1], [-3/8388608, -3/8388608]]]], [[2, 19, 1, 4, 4], [v = -2^
(1/2), 2 < u, x < -u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [1, 1], [741455/262144, 
2965821/1048576]]]], [[2, 19, 1, 4, 5], [v = -2^(1/2), 2 < u, x < -u^2+1, y =
-u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9, -9], [1, 1], [4, 4]]]], [[3, 3, 11, 4, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z < 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-2, -2], [-1, -1]]]], [[3, 3, 11, 4, 2], [And(-2^(
1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [2, 2], [-2, -2], [0, 0]]]], [[3, 3, 11, 4, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y
= -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [-2, -2], [1, 1]]]], [[3, 5, 6,
3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1
, And(-2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [-3921893/8388608, -3921893/8388608], [-2,
-2]]]], [[3, 5, 6, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = -(-u^2+v^2-y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [-3921893/8388608, -\
3921893/8388608], [-35184371682327/35184372088832, -70368743364653/
70368744177664]]]], [[3, 5, 6, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y
+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-3921893/8388608, -3921893/8388608], [-66295853/
140737488355328, -66295853/140737488355328]]]], [[3, 5, 6, 3, 4], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2
< y,y < 0), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-3921893/8388608, -3921893/8388608], [1048575/1048576, 1]]]]
, [[3, 5, 6, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [-3921893/8388608, -\
3921893/8388608], [2, 2]]]], [[3, 11, 8, 4, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [-112593/262144, -450371/1048576], [-2, -2]]]], [[3, 11, 8,
4, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = -u
^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-112593/262144, -\
450371/1048576], [-1374407/2097152, -687203/1048576]]]], [[3, 11, 8, 4, 3], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0],
[-112593/262144, -450371/1048576], [0, 0]]]], [[3, 11, 8, 4, 4], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [0, 0], [-112593/262144, -450371/1048576], [687203/
1048576, 171801/262144]]]], [[3, 11, 8, 4, 5], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [-112593/262144, -450371/1048576], [2, 2]]]], [[3, 13, 5, 1,
1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u
^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-2, -2], [-3, -3]]]], [[3, 13, 5, 1, 2], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-2, -2], [-1743993/1048576, -3487985/2097152]]]], [[3, 13,
5, 1, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x
,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-2, -2], [-1/4194304,
-1/4194304]]]], [[3, 13, 5, 1, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (
v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-2, -2], [217999/
131072, 1743993/1048576]]]], [[3, 13, 5, 1, 5], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-2, -2], [3,
3]]]], [[3, 14, 1, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2
, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3, -3], [1, 1], [-3, -3]]]], [[3
, 14, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y = -x-2
, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [1, 1], [-1482911/1048576, -741455/
524288]]]], [[3, 14, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x
< -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [1, 1]
, [0, 0]]]], [[3, 14, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3, -3], [1, 1], [741455/524288,
1482911/1048576]]]], [[3, 14, 1, 4, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [1, 1], [3, 3]]]
], [[3, 15, 7, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-125491/1048576, -125491/1048576],
[0, 0]]]], [[4, 3, 10, 8, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1,
y = 0, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304]
, [1, 1], [0, 0], [0, 0]]]], [[4, 5, 5, 7, 1], [v = -1, And(-2^(1/2) < u,u < -\
1), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [1/2, 1/2], [-2, -2]]]], [[4, 5, 5, 7, 2], [v = -1
, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [1/2, 1/2], [-1092629/2097152,
-273157/524288]]]], [[4, 5, 5, 7, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-\
1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [1/2, 1/2], [0, 0]]]], [[4, 5, 5, 7, 4], [
v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [1/2, 1/2], [273157/524288, 
546315/1048576]]]], [[4, 5, 5, 7, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(-\
1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [1/2, 1/2], [2, 2]]]], [[4, 10, 1, 5, 1], [v = -1, u = 1, x < -1, 
And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [
-2, -2], [3/2, 3/2], [-2, -2]]]], [[4, 10, 1, 5, 2], [v = -1, u = 1, x < -1, 
And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [
-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[4, 10, 1, 5, 3]
, [v = -1, u = 1, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [3/2, 3/2], [0, 0]]]]
, [[4, 10, 1, 5, 4], [v = -1, u = 1, x < -1, And(-1-x < y,y < -x), z = (-x-y)^
(1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [3/2, 3/2], [741455/
1048576, 46341/65536]]]], [[4, 10, 1, 5, 5], [v = -1, u = 1, x < -1, And(-1-x
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [
3/2, 3/2], [2, 2]]]], [[4, 11, 9, 4, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(
0 < x,x < 1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/
1048576], [-2, -2]]]], [[4, 11, 9, 4, 2], [v = -1, And(1 < u,u < 2^(1/2)), And
(0 < x,x < 1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/
1048576], [-772605/1048576, -1545209/2097152]]]], [[4, 11, 9, 4, 3], [v = -1,
And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z
,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-546777/524288, -1093553/1048576], [-1/4194304, -1/
4194304]]]], [[4, 11, 9, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x <
1), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/1048576], [
193151/262144, 772605/1048576]]]], [[4, 11, 9, 4, 5], [v = -1, And(1 < u,u < 2
^(1/2)), And(0 < x,x < 1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [
[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-546777/524288, -\
1093553/1048576], [2, 2]]]], [[5, 2, 3, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2
)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [1, 1], [-2, -2]]]], [[5
, 2, 3, 5, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And
(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2
], [-2, -2], [1, 1], [-1, -1]]]], [[5, 2, 3, 5, 3], [And(-1 < v,v < 0), u = -(
v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [1, 1],
[0, 0]]]], [[5, 2, 3, 5, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-3/2, -3/2], [-2, -2], [1, 1], [1, 1]]]], [[5, 2, 3, 5, 5], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [1, 1], [2, 2]]]],
[[5, 3, 7, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(0 < x,x < u^2-v^2-1), y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [0, 0], [0,
0]]]], [[5, 12, 2, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, And(3
< y,y < 4), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [7/2,
7/2], [0, 0]]]], [[5, 13, 6, 6, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x =
0, y = u^2-v^2-1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [31/4
, 31/4], [0, 0]]]], [[6, 5, 11, 9, 1], [v = 0, And(-1 < u,u < 0), 1 < x, 0 < y
, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [1, 1], [0, 0]]]], [[
6, 7, 8, 6, 1], [v = 0, And(0 < u,u < 1), x = 0, y = 0, z < 0], [regular_chain
, [[0, 0], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[6, 7, 8, 6, 2], [v = 0,
And(0 < u,u < 1), x = 0, y = 0, z = 0], [regular_chain, [[0, 0], [1/2, 1/2], [
0, 0], [0, 0], [0, 0]]]], [[6, 7, 8, 6, 3], [v = 0, And(0 < u,u < 1), x = 0, y
= 0, 0 < z], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [0, 0], [1, 1]]]], [
[6, 11, 11, 8, 1], [v = 0, 2^(1/2) < u, u^2-1 < x, y = 0, z = z], [
regular_chain, [[0, 0], [3, 3], [9, 9], [0, 0], [0, 0]]]], [[7, 2, 2, 7, 1], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = -3, 4 < y, z = z], [regular_chain, [
[1/2, 1/2], [-3/2, -3/2], [-3, -3], [5, 5], [0, 0]]]], [[7, 8, 3, 3, 1], [And(
0 < v,v < 1), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1/4, -1/4], [-2, -\
2]]]], [[7, 8, 3, 3, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And(-1-x
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2
, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]], [[7, 8, 3, 3,
3], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1
/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[7, 8, 3, 3, 4], [And(0
< v,v < 1), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1/4, -1/4], [908093/
1048576, 454047/524288]]]], [[7, 8, 3, 3, 5], [And(0 < v,v < 1), u = v, And(-1
< x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [1/2, 1/2], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[7, 9, 10, 5, 1], [And(
0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1),
z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [-2, -2]]]], [[7, 9, 
10, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2
-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [-\
1144335/2097152, -572167/1048576]]]], [[7, 9, 10, 5, 3], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1
/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [0, 0]]]], [[7
, 9, 10, 5, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(u^
2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [-5443141/4194304, -5443141/4194304], [
572167/1048576, 71521/131072]]]], [[7, 9, 10, 5, 5], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-\
5443141/4194304, -5443141/4194304], [2, 2]]]], [[7, 10, 8, 2, 1], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[1/2,
1/2], [1172343/1048576, 146543/131072], [1, 1], [-3, -3], [-3, -3]]]], [[7, 10
, 8, 2, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)]
, [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-3,
-3], [-1482911/1048576, -741455/524288]]]], [[7, 10, 8, 2, 3], [And(0 < v,v <
1), u = (v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-3, -3]
, [0, 0]]]], [[7, 10, 8, 2, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, y
= -3, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[7, 10, 8, 2,
5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-3, -3]
, [3, 3]]]], [[7, 12, 1, 9, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3,
1-x < y, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [6, 6], [0
, 0]]]], [[8, 4, 6, 2, 1], [v = 1, u = -2^(1/2), x = 0, y = -2, z < -2^(1/2)],
[regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2],
[-3, -3]]]], [[8, 4, 6, 2, 2], [v = 1, u = -2^(1/2), x = 0, y = -2, z = -2^(1/
2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0], [-2,
-2], [-1482911/1048576, -741455/524288]]]], [[8, 4, 6, 2, 3], [v = 1, u = -2^(
1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1],
[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [0, 0]]]], [[8, 4, 6, 2,
4], [v = 1, u = -2^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[1, 1]
, [-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [741455/524288, 
1482911/1048576]]]], [[8, 4, 6, 2, 5], [v = 1, u = -2^(1/2), x = 0, y = -2, 2^
(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0
], [-2, -2], [3, 3]]]], [[8, 5, 11, 6, 1], [v = 1, And(-2^(1/2) < u,u < -1), 1
< x, y = -x, z < 0], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [2, 2], [-2, -2], [-1, -1]]]], [[8, 5, 11, 6, 2], [v = 1, And(-2^(1/
2) < u,u < -1), 1 < x, y = -x, z = 0], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [2, 2], [-2, -2], [0, 0]]]], [[8, 5, 11, 6, 3], [v
= 1, And(-2^(1/2) < u,u < -1), 1 < x, y = -x, 0 < z], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[8, 11, 1,
3, 1], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z < -(
-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3
, -3], [1617841/2097152, 1617841/2097152], [-3, -3]]]], [[8, 11, 1, 3, 2], [v
= 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [
1617841/2097152, 1617841/2097152], [-782675/524288, -1565349/1048576]]]], [[8,
11, 1, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3, -3], [1617841/2097152, 1617841/2097152], [0, 0
]]]], [[8, 11, 1, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(0 < y,y
< -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [1617841/2097152, 1617841/2097152], [1565349/
1048576, 782675/524288]]]], [[8, 11, 1, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)),
x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [1617841/2097152, 1617841/2097152
], [3, 3]]]], [[8, 12, 4, 5, 1], [v = 1, u = 2^(1/2), x = -1, And(0 < y,y < 1)
, z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [-1, -1], [1/2, 1/2], [-2, -2]]]], [[8, 12, 4, 5, 2], [v = 1, u = 2^(1/2), x
= -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[8, 12, 4, 5, 3], [v = 1, u = 2^(1/2), x = -1, And(0 < y,y < 1),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 12, 4, 5, 4],
[v = 1, u = 2^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2]
, [741455/1048576, 46341/65536]]]], [[8, 12, 4, 5, 5], [v = 1, u = 2^(1/2), x
= -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[9, 2, 8, 7, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [1, 1], [0, 0]]]], [[9, 4, 2, 5, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2+1)^(1/2), x = -2, 2 < y, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [3,
3], [0, 0]]]], [[9, 12, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, 1 < x, And(-
x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[9, 14, 3, 7,
1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), -x < y, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-3/2, -3/2], [3, 3], [0, 0]]]], [[10, 2, 8, 2, 1], [v = 2^(1/
2), u = -2, x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [1, 1], [-4, -4], [-3, -3]]]], [[10, 2, 8, 2, 2],
[v = 2^(1/2), u = -2, x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 2, 8, 2, 3], [v = 2^(1/2), u = -2, x = 1, y = -4, 
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[10, 2, 8,
2, 4], [v = 2^(1/2), u = -2, x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[10, 2, 8, 2, 5], [v = 2^(1/2), u = -2, x = 1, y = -4, 3
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1,
1], [-4, -4], [3, 3]]]], [[10, 4, 1, 7, 1], [v = 2^(1/2), u = -3^(1/2), x < -2
, -x < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187
/1048576, -3632373/2097152], [-3, -3], [4, 4], [0, 0]]]], [[10, 8, 9, 6, 1], [
v = 2^(1/2), u = -1, 1 < x, y = 0, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[10, 10, 3, 4, 1], [v
= 2^(1/2), u = 0, And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0], [-3, -3]]]], [[10
, 10, 3, 4, 2], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0
], [-1482911/1048576, -741455/524288]]]], [[10, 10, 3, 4, 3], [v = 2^(1/2), u
= 0, And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0], [0
, 0]]]], [[10, 10, 3, 4, 4], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2,
-2], [0, 0], [741455/524288, 1482911/1048576]]]], [[10, 10, 3, 4, 5], [v = 2^(
1/2), u = 0, And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0], [3, 3]]]], [[10, 16
, 3, 5, 1], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093
/524288, 1816187/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[10, 16, 3,
5, 2], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -\
3632373/4194304]]]], [[10, 16, 3, 5, 3], [v = 2^(1/2), u = 3^(1/2), And(-2 < x
,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[10, 16, 3,
5, 4], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/
524288]]]], [[10, 16, 3, 5, 5], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1),
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2], [3/4, 3/4], [2, 2]]
]], [[10, 17, 9, 6, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x
< 1), y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-271555/
1048576, -135777/524288], [0, 0]]]], [[10, 18, 5, 3, 1], [v = 2^(1/2), u = 2,
And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]
]], [[10, 18, 5, 3, 2], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(-x-3 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
2, 2], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[10, 
18, 5, 3, 3], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[10, 18, 5,
3, 4], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/
2], [-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[10, 18, 5, 3, 5], [v = 2
^(1/2), u = 2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [-5/4,
-5/4], [3, 3]]]], [[10, 19, 9, 8, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3
), y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [7/2, 7/2], [5/2, 5/2], [0, 0]]]], [[11, 6, 4, 4, 1], [2^(1/2) < v, u = -v
, x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [-3, -3], [0, 0], [0, 0], [-1
, -1]]]], [[11, 6, 4, 4, 2], [2^(1/2) < v, u = -v, x = 0, y = 0, z = 0], [
regular_chain, [[3, 3], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[11, 6, 4, 4, 3]
, [2^(1/2) < v, u = -v, x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [-3, -3
], [0, 0], [0, 0], [1, 1]]]], [[11, 7, 11, 8, 1], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [0, 0], [0, 0]]]], [[11, 12, 3, 6, 1], [2^
(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [2, 2], [-1,
-1]]]], [[11, 12, 3, 6, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x < -1
), y = -x, z = 0], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2
, -2], [2, 2], [0, 0]]]], [[11, 12, 3, 6, 3], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-2, -2], [2, 2], [1, 1]]]], [[11, 13, 8, 2, 1], [2^(1/2) < v, 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [133259/262144, 533037/1048576], [-3163225/1048576, -395403/131072], [-3, -\
3]]]], [[11, 13, 8, 2, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [133259/262144, 533037/1048576],
[-3163225/1048576, -395403/131072], [-3321417/2097152, -415177/262144]]]], [[
11, 13, 8, 2, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2
))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/262144
, 533037/1048576], [-3163225/1048576, -395403/131072], [0, 0]]]], [[11, 13, 8,
2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1,
y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [133259/262144, 533037/1048576], [-3163225/1048576, -\
395403/131072], [415177/262144, 1660709/1048576]]]], [[11, 13, 8, 2, 5], [2^(1
/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2
*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [133259/262144, 533037/1048576], [-3163225/1048576, -395403/
131072], [3, 3]]]], [[11, 19, 9, 6, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [-265267/1048576, -132633/524288], [0, 0]]]], [[11, 21, 3, 2
, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^
2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-8
, -8], [-6, -6]]]], [[11, 21, 3, 2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-
u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [-8, -8], [-2161695/524288, -4323389
/1048576]]]], [[11, 21, 3, 2, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^
2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-8, -8], [0, 0]]]], [[11,
21, 3, 2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9
], [-8, -8], [4323389/1048576, 2161695/524288]]]], [[11, 21, 3, 2, 5], [2^(1/2
) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-8, -8], [6, 6]]
]], [[1, 4, 9, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536],
[2, 2], [-5, -5], [-3, -3]]]], [[1, 4, 9, 1, 2], [v < -2^(1/2), u = -(v^2+1)^(
1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [2, 2], [-5, -5], [-1816187/1048576, -3632373
/2097152]]]], [[1, 4, 9, 1, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y <
-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]]
, [[1, 4, 9, 1, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z = (-
x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [2,
2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[1, 4, 9, 1, 5], [v < -2^(
1/2), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-3315889/1048576, -207243/65536], [2, 2], [-5, -5], [3, 3]]]], [[1
, 6, 2, 4, 1], [v < -2^(1/2), u = v, x = -1, y = 1, z < 0], [regular_chain, [[
-3, -3], [-3, -3], [-1, -1], [1, 1], [-1, -1]]]], [[1, 6, 2, 4, 2], [v < -2^(1
/2), u = v, x = -1, y = 1, z = 0], [regular_chain, [[-3, -3], [-3, -3], [-1, -\
1], [1, 1], [0, 0]]]], [[1, 6, 2, 4, 3], [v < -2^(1/2), u = v, x = -1, y = 1,
0 < z], [regular_chain, [[-3, -3], [-3, -3], [-1, -1], [1, 1], [1, 1]]]], [[1,
12, 2, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, And(0 < y,y < 3), z <
-(3-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3,
-3], [3/2, 3/2], [-3, -3]]]], [[1, 12, 2, 3, 2], [v < -2^(1/2), u = (v^2-2)^(1
/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119
/524288]]]], [[1, 12, 2, 3, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, And(
0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-3, -3
], [2774271/1048576, 10837/4096], [-3, -3], [3/2, 3/2], [0, 0]]]], [[1, 12, 2,
3, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(
1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [3/
2, 3/2], [642119/524288, 1284239/1048576]]]], [[1, 12, 2, 3, 5], [v < -2^(1/2)
, u = (v^2-2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [3/2, 3/2],
[3, 3]]]], [[1, 13, 6, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [0, 0], [0, 0], [-1, -1]]]], [[1, 13, 6, 4, 2], [v < -2^(1/2)
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = 0, z = 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [0, 0], [0
, 0]]]], [[1, 13, 6, 4, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [0, 0], [0, 0], [1, 1]]]], [[1, 18, 2, 2, 1], [v < -2^(1/2),
u = (v^2+1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[1, 18, 2, 2,
2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [0, 0], [
-1482911/1048576, -741455/524288]]]], [[1, 18, 2, 2, 3], [v < -2^(1/2), u = (v
^2+1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [0, 0], [0, 0]]]], [[1, 18
, 2, 2, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[1, 18, 2, 2, 5], [v < -2^(1/2), u = (v^2
+1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-2, -2], [0, 0], [3, 3]]]], [[1, 19, 8, 1, 1], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+
2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [129511/262144, 518045/1048576], [-4, -4], [-3, -3]]]], [[
1, 19, 8, 1, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-4,
-4], [-7853497/4194304, -981687/524288]]]], [[1, 19, 8, 1, 3], [v < -2^(1/2),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And
(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-4,
-4], [0, 0]]]], [[1, 19, 8, 1, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [-4, -4], [981687/524288, 1963375/1048576]]]], [[1, 19, 8, 1,
5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y
< -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811
/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-4, -4], [3, 3]]
]], [[2, 3, 11, 6, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = u^2
-x-3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [2, 2], [-1591685/1048576, -3183369/2097152], [0,
0]]]], [[2, 5, 6, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, 
And(0 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [550769/2097152, 550769/2097152], [-2, -2]]]], [[2,
5, 6, 5, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(0 < y,y <
-u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/
2097152], [550769/2097152, 550769/2097152], [-1074733/2097152, -268683/524288]
]]], [[2, 5, 6, 5, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(
0 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [550769/2097152, 550769/
2097152], [0, 0]]]], [[2, 5, 6, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = u^2-3, And(0 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [550769/2097152, 550769/2097152], [268683/
524288, 537367/1048576]]]], [[2, 5, 6, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), x = u^2-3, And(0 < y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [550769/2097152, 550769/
2097152], [2, 2]]]], [[2, 6, 3, 4, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 0)
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2,
6, 3, 4, 2], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]],
[[2, 6, 3, 4, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 6, 3
, 4, 4], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[2, 6, 3, 4
, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2, 7, 10, 6, 1], [v = -2^(1/2), 
And(v < u,u < -1), x = 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-1, -1], [-1,
-1]]]], [[2, 7, 10, 6, 2], [v = -2^(1/2), And(v < u,u < -1), x = 1, y = -1, z
= 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [1, 1], [-1, -1], [0, 0]]]], [[2, 7, 10, 6, 3], [v = -2^(1/
2), And(v < u,u < -1), x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1, 1], [-1, -\
1], [1, 1]]]], [[2, 13, 9, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,
x < 1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1071065/
524288, -2142129/1048576], [-3, -3]]]], [[2, 13, 9, 2, 2], [v = -2^(1/2), And(
1 < u,u < -v), And(0 < x,x < 1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-1071065/524288, -2142129/1048576], [-1302471/1048576,
-651235/524288]]]], [[2, 13, 9, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), And(0
< x,x < 1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-1071065/524288, -2142129/1048576], [0, 0]]]], [[2, 13,
9, 2, 4], [v = -2^(1/2), And(1 < u,u < -v), And(0 < x,x < 1), y = u^2-x-3, z =
(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743
/1048576, 1265743/1048576], [1/2, 1/2], [-1071065/524288, -2142129/1048576], [
651235/524288, 1302471/1048576]]]], [[2, 13, 9, 2, 5], [v = -2^(1/2), And(1 <
u,u < -v), And(0 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1/2,
1/2], [-1071065/524288, -2142129/1048576], [3, 3]]]], [[2, 15, 5, 6, 1], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = u^2-x-3, z < -(-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [124451/
524288, 248903/1048576], [-2, -2]]]], [[2, 15, 5, 6, 2], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [124451/524288, 248903/1048576
], [-1519901/2097152, -379975/524288]]]], [[2, 15, 5, 6, 3], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = u^2-x-3, And(-(-u^2+3)^(1/
2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [124451/524288, 248903/1048576], [0, 0]]]], [[2, 15, 5, 6, 4], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = u^2-x-3, z = (-u
^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [124451/
524288, 248903/1048576], [379975/524288, 759951/1048576]]]], [[2, 15, 5, 6, 5]
, [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = u^2-x-3,
(-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [
124451/524288, 248903/1048576], [2, 2]]]], [[2, 19, 8, 6, 1], [v = -2^(1/2), 2
< u, x = 1, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3, 3], [1, 1], [0, 0], [0, 0]]]], [[3, 1, 10, 5, 1], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [-6860721/2097152, -6860721/2097152], [0, 0]]]], [[3
, 7, 10, 8, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
1, y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [0, 0], [0, 0]]]], [[3, 9, 5, 7, 1
], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-\
1 < x,x < 0), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [763943/1048576, 763943/
1048576], [0, 0]]]], [[3, 17, 8, 2, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [-4, -4]]]], [[3, 17, 8, 2, 2], [And(-2^(1/2) < v,v < -1),
(v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [-1532401/524288, -24518415/8388608]]]],
[[3, 17, 8, 2, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, y = -u
^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [-7/16777216, -7/16777216]]]], [[3, 17, 8, 2, 4], [And(-2^(
1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [
-20012899/2097152, -10006449/1048576], [3064801/1048576, 1532401/524288]]]], [
[3, 17, 8, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, y = -u^
2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [1, 1], [-20012899/2097152, -10006449/1048576], [4, 4]]]], [
[4, 1, 10, 1, 1], [v = -1, u < -3^(1/2), x = u^2-2, y < -2*u^2+2, z < -(-u^2-y
+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [-17, -17], [-5, -5]]
]], [[4, 1, 10, 1, 2], [v = -1, u < -3^(1/2), x = u^2-2, y < -2*u^2+2, z = -(-
u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [-17, -17], [-\
3315889/1048576, -207243/65536]]]], [[4, 1, 10, 1, 3], [v = -1, u < -3^(1/2),
x = u^2-2, y < -2*u^2+2, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [-17, -17], [0, 0]]]], [[4, 1, 10,
1, 4], [v = -1, u < -3^(1/2), x = u^2-2, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)],
[regular_chain, [[-1, -1], [-3, -3], [7, 7], [-17, -17], [207243/65536, 
3315889/1048576]]]], [[4, 1, 10, 1, 5], [v = -1, u < -3^(1/2), x = u^2-2, y <
-2*u^2+2, (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [7, 7],
[-17, -17], [5, 5]]]], [[4, 7, 10, 2, 1], [v = -1, And(-1 < u,u < 0), x = 1, y
= u^2-3, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1]
, [-11/4, -11/4], [-3, -3]]]], [[4, 7, 10, 2, 2], [v = -1, And(-1 < u,u < 0),
x = 1, y = u^2-3, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2
], [1, 1], [-11/4, -11/4], [-10837/8192, -1387135/1048576]]]], [[4, 7, 10, 2,
3], [v = -1, And(-1 < u,u < 0), x = 1, y = u^2-3, And(-(-u^2+2)^(1/2) < z,z <
(-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-11/4, -11
/4], [0, 0]]]], [[4, 7, 10, 2, 4], [v = -1, And(-1 < u,u < 0), x = 1, y = u^2-\
3, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-11/
4, -11/4], [1387135/1048576, 10837/8192]]]], [[4, 7, 10, 2, 5], [v = -1, And(-\
1 < u,u < 0), x = 1, y = u^2-3, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [1, 1], [-11/4, -11/4], [3, 3]]]], [[4, 9, 5, 1, 1], [v = -1,
And(0 < u,u < 1), And(-1 < x,x < -u^2), y < u^2-x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-3, -3], [-3, -3]]]], [[4
, 9, 5, 1, 2], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y < u^2-x-2, z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-3, -3
], [-7985717/4194304, -15971433/8388608]]]], [[4, 9, 5, 1, 3], [v = -1, And(0
< u,u < 1), And(-1 < x,x < -u^2), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-3, -3], [-1/
16777216, -1/16777216]]]], [[4, 9, 5, 1, 4], [v = -1, And(0 < u,u < 1), And(-1
< x,x < -u^2), y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2
, 1/2], [-5/8, -5/8], [-3, -3], [1996429/1048576, 998215/524288]]]], [[4, 9, 5
, 1, 5], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y < u^2-x-2, (-x-y)^
(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-3, -3], [3,
3]]]], [[4, 13, 11, 8, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = 0
, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [2, 2
], [0, 0], [0, 0]]]], [[4, 15, 4, 9, 1], [v = -1, 3^(1/2) < u, x = -1, u^2-1 <
y, z = z], [regular_chain, [[-1, -1], [3, 3], [-1, -1], [9, 9], [0, 0]]]], [[5
, 5, 10, 3, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(
-u^2+v^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [1, 1], [-2, -2], [-2, -2]]]], [[5,
5, 10, 3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(-u
^2+v^2-2 < y,y < u^2-v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [1, 1], [-2, -2], [-1, -1]]]], [[5, 5,
10, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(-u^2+
v^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
2, -2], [0, 0]]]], [[5, 5, 10, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z = (-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
2, -2], [1, 1]]]], [[5, 5, 10, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), (-y-1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
2, -2], [2, 2]]]], [[5, 7, 6, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x
= -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
3/4, -3/4], [2, 2], [0, 0]]]], [[5, 8, 4, 1, 1], [And(-1 < v,v < 0), u = -v, x
= 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0,
0], [-2, -2], [-3, -3]]]], [[5, 8, 4, 1, 2], [And(-1 < v,v < 0), u = -v, x = 0
, y < -1, z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0],
[-2, -2], [-1482911/1048576, -741455/524288]]]], [[5, 8, 4, 1, 3], [And(-1 < v
,v < 0), u = -v, x = 0, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-2, -2], [0, 0]]]], [[5, 8,
4, 1, 4], [And(-1 < v,v < 0), u = -v, x = 0, y < -1, z = (-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-2, -2], [741455/524288, 
1482911/1048576]]]], [[5, 8, 4, 1, 5], [And(-1 < v,v < 0), u = -v, x = 0, y <
-1, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-2, -\
2], [3, 3]]]], [[5, 9, 11, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(
1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [2, 2], [-5, -5], [-3, -3]]]], [[5, 9
, 11, 1, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^
2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]],
[[5, 9, 11, 1, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y
< -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-5, -5], [-1/4194304,
-1/4194304]]]], [[5, 9, 11, 1, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^
(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[5, 9, 11, 1, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^
2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-5, -5], [3, 3]]]], [[6
, 2, 5, 2, 1], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)
], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2],
[-5/2, -5/2], [-3, -3]]]], [[6, 2, 5, 2, 2], [v = 0, u = -2^(1/2), And(-1 < x,
x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/
2097152]]]], [[6, 2, 5, 2, 3], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y = -x
-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[
6, 2, 5, 2, 4], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)
], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2],
[-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[6, 2, 5, 2, 5], [v = 0, u
= -2^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[0, 0]
, [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [
[6, 3, 9, 5, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(u^2-1 < x,x < 1), And(-
x < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [1527887/2097152, 1527887/2097152], [-2097153/4194304, -\
2097153/4194304], [0, 0]]]], [[6, 8, 6, 2, 1], [v = 0, u = 1, x = 0, y = -2, z
< -2^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [-2, -2], [-3, -3]]]], [
[6, 8, 6, 2, 2], [v = 0, u = 1, x = 0, y = -2, z = -2^(1/2)], [regular_chain,
[[0, 0], [1, 1], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[6,
8, 6, 2, 3], [v = 0, u = 1, x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[0, 0], [1, 1], [0, 0], [-2, -2], [0, 0]]]], [[6, 8, 6, 2, 4],
[v = 0, u = 1, x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[0, 0], [1, 1], [
0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[6, 8, 6, 2, 5], [v = 0
, u = 1, x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [0, 0],
[-2, -2], [3, 3]]]], [[6, 9, 11, 2, 1], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x,
y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [2, 2], [-4673615/1048576, -2336807/524288], [-3, -3]]]], [[
6, 9, 11, 2, 2], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x-1, z = -(u^
2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2,
2], [-4673615/1048576, -2336807/524288], [-410915/262144, -3287319/2097152]]]]
, [[6, 9, 11, 2, 3], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x-1, And(
-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [2, 2], [-4673615/1048576, -2336807/524288], [-1/
4194304, -1/4194304]]]], [[6, 9, 11, 2, 4], [v = 0, And(1 < u,u < 2^(1/2)), 1
< x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [2, 2], [-4673615/1048576, -2336807/524288], [
1643659/1048576, 410915/262144]]]], [[6, 9, 11, 2, 5], [v = 0, And(1 < u,u < 2
^(1/2)), 1 < x, y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [2, 2], [-4673615/1048576, -2336807/524288]
, [3, 3]]]], [[7, 4, 4, 2, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1,
y = -1, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[7, 4, 4, 2, 2], [And(0 < v,v < 1)
, u = -(v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[1/2, 1/
2], [-146543/131072, -1172343/1048576], [-1, -1], [-1, -1], [-1482911/1048576,
-741455/524288]]]], [[7, 4, 4, 2, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x
= -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[7, 4, 4, 2,
4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1,
-1], [741455/524288, 1482911/1048576]]]], [[7, 4, 4, 2, 5], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[7, 5, 9,
6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y
= -x, z < 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152
], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[7, 5, 9, 6, 2], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[-1/2, -1/2], [0, 0]]]], [[7, 5, 9, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/
2) < u,u < -v), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8
, 1, 2, 2, 1], [v = 1, u < -3^(1/2), x = -u^2, y = 0, z < u], [regular_chain,
[[1, 1], [-3, -3], [-9, -9], [0, 0], [-4, -4]]]], [[8, 1, 2, 2, 2], [v = 1, u
< -3^(1/2), x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [-3, -3], [-9, -\
9], [0, 0], [-3, -3]]]], [[8, 1, 2, 2, 3], [v = 1, u < -3^(1/2), x = -u^2, y =
0, And(u < z,z < -u)], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [0, 0], [0
, 0]]]], [[8, 1, 2, 2, 4], [v = 1, u < -3^(1/2), x = -u^2, y = 0, z = -u], [
regular_chain, [[1, 1], [-3, -3], [-9, -9], [0, 0], [3, 3]]]], [[8, 1, 2, 2, 5
], [v = 1, u < -3^(1/2), x = -u^2, y = 0, -u < z], [regular_chain, [[1, 1], [-\
3, -3], [-9, -9], [0, 0], [4, 4]]]], [[8, 2, 4, 7, 1], [v = 1, u = -3^(1/2), x
= -1, And(1 < y,y < 2), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [3/2, 3/2], [0, 0]]]], [[8, 8, 5, 3, 1], [v = 1, u
= 0, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[8,
8, 5, 3, 2], [v = 1, u = 0, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [-\
146543/131072, -1172343/1048576]]]], [[8, 8, 5, 3, 3], [v = 1, u = 0, And(-1 <
x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[8, 8,
5, 3, 4], [v = 1, u = 0, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1
/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [1172343/
1048576, 146543/131072]]]], [[8, 8, 5, 3, 5], [v = 1, u = 0, And(-1 < x,x < 0)
, And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-1
/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[8, 9, 10, 9, 1], [v = 1, And(0 < u,u < 1
), x = 1, 0 < y, z = z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [1, 1],
[0, 0]]]], [[8, 14, 5, 8, 1], [v = 1, u = 3^(1/2), And(-1 < x,x < 0), y = 1-x,
z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-1/2, -1/2
], [3/2, 3/2], [0, 0]]]], [[8, 15, 10, 4, 1], [v = 1, 3^(1/2) < u, x = u^2-2,
y = -u^2+2, z < 0], [regular_chain, [[1, 1], [3, 3], [7, 7], [-7, -7], [-1, -1
]]]], [[8, 15, 10, 4, 2], [v = 1, 3^(1/2) < u, x = u^2-2, y = -u^2+2, z = 0],
[regular_chain, [[1, 1], [3, 3], [7, 7], [-7, -7], [0, 0]]]], [[8, 15, 10, 4,
3], [v = 1, 3^(1/2) < u, x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[1, 1
], [3, 3], [7, 7], [-7, -7], [1, 1]]]], [[9, 6, 5, 6, 1], [And(1 < v,v < 2^(1/
2)), u = -v, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
0, 0], [0, 0]]]], [[9, 8, 1, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2
), x < -2, y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-1417877/2097152, -354469/524288], [-3, -3], [3, 3], [-1, -1]]]], [[9, 8, 1
, 6, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y = -x, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [3, 3], [0, 0]]]], [[9, 8, 1, 6, 3], [And(1 < v,v <
2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3
], [3, 3], [1, 1]]]], [[9, 9, 1, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^
(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4
], [1617841/1048576, 808921/524288], [-3, -3]]]], [[9, 9, 1, 4, 2], [And(1 < v
,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u
^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-4, -4], [1617841/1048576, 808921/524288], [-410915
/262144, -3287319/2097152]]]], [[9, 9, 1, 4, 3], [And(1 < v,v < 2^(1/2)), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-4, -4], [1617841/1048576, 808921/524288],
[-1/4194304, -1/4194304]]]], [[9, 9, 1, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
-4, -4], [1617841/1048576, 808921/524288], [1643659/1048576, 410915/262144]]]]
, [[9, 9, 1, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [1617841
/1048576, 808921/524288], [3, 3]]]], [[9, 10, 4, 6, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2-1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [1, 1], [-1, -1
]]]], [[9, 10, 4, 6, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y
= 1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-1, -1], [1, 1], [0, 0]]]], [[9, 10, 4, 6, 3], [And(
1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1]
, [1, 1], [1, 1]]]], [[9, 16, 5, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[9, 16, 5, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2)
, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [0,
0], [-1482911/2097152, -741455/1048576]]]], [[9, 16, 5, 4, 3], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 16, 5, 4, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[9,
16, 5, 4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y
= 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[9, 17, 9, 9
, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), u^
2-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [7909297/2097152, 7909297/2097152], [4, 4], [0, 0]]]], [[10, 5, 1, 5, 1]
, [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(-u^2-x+1 < y,y < u^2
-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-3, -3], [2, 2], [-2, -2]]]], [[10, 5,
1, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(-u^2-x+1 < y
,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [2, 2], [-1, -1]]]],
[[10, 5, 1, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(-u^
2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [2, 2], [0, 0]]]], [[10, 5, 1, 5, 4], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [2, 2], [1, 1]]]], [[10, 5, 1, 5, 5], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-3, -3], [2, 2], [2, 2]]]], [[10, 6, 5, 2, 1], [v
= 2^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2
], [-3/2, -3/2], [-2, -2]]]], [[10, 6, 5, 2, 2], [v = 2^(1/2), u = -v, And(0 <
x,x < 1), y = -1-x, z = -1], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [
[10, 6, 5, 2, 3], [v = 2^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, And(-1 < z
,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576
, -741455/524288], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[10, 6, 5, 2, 4], [v
= 2^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2
], [-3/2, -3/2], [1, 1]]]], [[10, 6, 5, 2, 5], [v = 2^(1/2), u = -v, And(0 < x
,x < 1), y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[10,
12, 4, 4, 1], [v = 2^(1/2), u = 1, x = -1, y = 0, z < -1], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0], [-2, -2]]]], [[10,
12, 4, 4, 2], [v = 2^(1/2), u = 1, x = -1, y = 0, z = -1], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0], [-1, -1]]]], [[10,
12, 4, 4, 3], [v = 2^(1/2), u = 1, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0], [0
, 0]]]], [[10, 12, 4, 4, 4], [v = 2^(1/2), u = 1, x = -1, y = 0, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0], [1
, 1]]]], [[10, 12, 4, 4, 5], [v = 2^(1/2), u = 1, x = -1, y = 0, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0], [2
, 2]]]], [[10, 13, 10, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2-4
< y,y < -u^2), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [-2, -2]]]], [
[10, 13, 10, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2-4 < y,y < -
u^2), z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[10, 13, 10
, 3, 3], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2-4 < y,y < -u^2), And(-
(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[
10, 13, 10, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2-4 < y,y < -u
^2), z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[10, 13, 10,
3, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, And(u^2-4 < y,y < -u^2), (-y-1)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-2, -2], [2, 2]]]], [[11, 2, 8, 1, 1], [2^
(1/2) < v, u = -(v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-5, -5],
[-3, -3]]]], [[11, 2, 8, 1, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, y < -\
4, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1, 1], [-5, -5], [-2, -2]]]], [[11, 2, 8, 1, 3], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-5, -5],
[0, 0]]]], [[11, 2, 8, 1, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, y < -4,
z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576
], [1, 1], [-5, -5], [2, 2]]]], [[11, 2, 8, 1, 5], [2^(1/2) < v, u = -(v^2+2)^
(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [1, 1], [-5, -5], [3, 3]]]], [[11, 4, 1, 6, 1], [2^
(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[3, 3]
, [-3315889/1048576, -207243/65536], [-3, -3], [3, 3], [-1, -1]]]], [[11, 4, 1
, 6, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = -x, z = 0], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [3, 3], [
0, 0]]]], [[11, 4, 1, 6, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = -x,
0 < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3],
[3, 3], [1, 1]]]], [[11, 10, 3, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-\
3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [-2, -2], [-3, -3]]]], [[11, 10,
3, 1, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, z =
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576],
[-2, -2], [-2, -2], [-2, -2]]]], [[11, 10, 3, 1, 3], [2^(1/2) < v, u = -(v^2-2
)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-\
2, -2], [0, 0]]]], [[11, 10, 3, 1, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-\
3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543
/2097152, -2774271/1048576], [-2, -2], [-2, -2], [2, 2]]]], [[11, 10, 3, 1, 5]
, [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2],
[-2, -2], [3, 3]]]], [[11, 11, 7, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3],
[0, 0], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 15, 10, 4, 1], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-391287/
262144, -1565147/1048576], [-2, -2]]]], [[11, 15, 10, 4, 2], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-391287/
262144, -1565147/1048576], [-735979/1048576, -1471957/2097152]]]], [[11, 15, 
10, 4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576],
[-1/4194304, -1/4194304]]]], [[11, 15, 10, 4, 4], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-391287/262144, -1565147
/1048576], [367989/524288, 735979/1048576]]]], [[11, 15, 10, 4, 5], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-\
391287/262144, -1565147/1048576], [2, 2]]]], [[11, 17, 7, 5, 1], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288],
[-2, -2]]]], [[11, 17, 7, 5, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-66399/524288, -66399/524288], [-1292667/2097152, -646333/
1048576]]]], [[11, 17, 7, 5, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288], [0, 0]]]],
[[11, 17, 7, 5, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3
, 3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-\
66399/524288, -66399/524288], [646333/1048576, 323167/524288]]]], [[11, 17, 7,
5, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), 
And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/
524288, -66399/524288], [2, 2]]]], [[1, 1, 4, 4, 1], [v < -2^(1/2), u < -(v^2+
2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [-5, -5], [-1, -1
], [0, 0], [-2, -2]]]], [[1, 1, 4, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x
= -1, y = 0, z = -1], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [0, 0], [
-1, -1]]]], [[1, 1, 4, 4, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = 0
, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [0, 0], [
0, 0]]]], [[1, 1, 4, 4, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = 0,
z = 1], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [0, 0], [1, 1]]]], [[1,
1, 4, 4, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [0, 0], [2, 2]]]], [[1, 2, 6, 7,
1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [
[-3, -3], [-1738867/524288, -3477733/1048576], [0, 0], [2, 2], [0, 0]]]], [[1,
8, 7, 7, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(0 < x,x < 1), 0 < y, z = z
], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2
], [1, 1], [0, 0]]]], [[1, 10, 1, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x
< -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-4, -4], [9/2, 9/2], [0, 0]]]], [[1, 14, 3, 2, 1]
, [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)
], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2],
[-1/2, -1/2], [-3, -3]]]], [[1, 14, 3, 2, 2], [v < -2^(1/2), u = (v^2-1)^(1/2)
, And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576
, -741455/524288]]]], [[1, 14, 3, 2, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And
(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-\
3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]
], [[1, 14, 3, 2, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y
= -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[1
, 14, 3, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2
, 2^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [
-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[1, 15, 9, 3, 1], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-\
1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [-402653157/268435456, -402653157/268435456], [-2, -2]]]
], [[1, 15, 9, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,
x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-\
402653157/268435456, -402653157/268435456], [-536870885/536870912, -\
17592185159679/17592186044416]]]], [[1, 15, 9, 3, 3], [v < -2^(1/2), And((v^2-\
1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1/2, 1/2], [-402653157/268435456, -402653157/
268435456], [-15892479/35184372088832, -15892479/35184372088832]]]], [[1, 15,
9, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(
u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3
], [6111549/2097152, 6111549/2097152], [1/2, 1/2], [-402653157/268435456, -\
402653157/268435456], [1048575/1048576, 1]]]], [[1, 15, 9, 3, 5], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u
^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [1/2, 1/2], [-402653157/268435456, -402653157/268435456], [2
, 2]]]], [[1, 21, 8, 5, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, And(-1 <
y,y < 0), z = z], [regular_chain, [[-3, -3], [5, 5], [1, 1], [-1/2, -1/2], [0,
0]]]], [[2, 1, 11, 1, 1], [v = -2^(1/2), u < -2, u^2-3 < x, y < -u^2-x+1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[7, 7], [-16, -16], [-4, -4]]]], [[2, 1, 11, 1, 2], [v = -2^(1/2), u < -2, u^2
-3 < x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [7, 7], [-16, -16], [-3, -3]]]], [[2, 1, 11, 1, 3],
[v = -2^(1/2), u < -2, u^2-3 < x, y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7,
7], [-16, -16], [0, 0]]]], [[2, 1, 11, 1, 4], [v = -2^(1/2), u < -2, u^2-3 < x
, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3, -3], [7, 7], [-16, -16], [3, 3]]]], [[2, 1, 11, 1, 5], [v = -2^
(1/2), u < -2, u^2-3 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-16, -16], [4, 4]]]], [[2
, 10, 1, 9, 1], [v = -2^(1/2), u = 0, x < -3, 1-x < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [-4, -4], [6, 6], [0, 0]]]], [[2,
11, 6, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 0, And(0 < y,y < -u^2+1), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0],
[3/8, 3/8], [0, 0]]]], [[2, 17, 7, 9, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), And(0 < x,x < u^2-3), u^2-x-3 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/2097152,
505467/2097152], [2, 2], [0, 0]]]], [[2, 19, 1, 5, 1], [v = -2^(1/2), 2 < u, x
< -u^2+1, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9, -9], [5, 5], [-3, -3]]]], [[2,
19, 1, 5, 2], [v = -2^(1/2), 2 < u, x < -u^2+1, And(-u^2-x+1 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
-9, -9], [5, 5], [-2, -2]]]], [[2, 19, 1, 5, 3], [v = -2^(1/2), 2 < u, x < -u^
2+1, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [5, 5],
[0, 0]]]], [[2, 19, 1, 5, 4], [v = -2^(1/2), 2 < u, x < -u^2+1, And(-u^2-x+1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9, -9], [5, 5], [2, 2]]]], [[2, 19, 1, 5, 5], [v = -2^(1/2)
, 2 < u, x < -u^2+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [5, 5],
[3, 3]]]], [[3, 3, 11, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-6793421/2097152, -6793421/2097152], [-3, -3]]]],
[[3, 3, 11, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-6793421/2097152, -6793421/2097152], [-583671/
524288, -1167341/1048576]]]], [[3, 3, 11, 3, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-\
6793421/2097152, -6793421/2097152], [0, 0]]]], [[3, 3, 11, 3, 4], [And(-2^(1/2
) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2
-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-6793421/
2097152, -6793421/2097152], [1167341/1048576, 583671/524288]]]], [[3, 3, 11, 3
, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1
< x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2
, 2], [-6793421/2097152, -6793421/2097152], [3, 3]]]], [[3, 5, 6, 6, 1], [And(
-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -u^2+v
^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/
1048576, 139585/262144], [-1, -1]]]], [[3, 5, 6, 6, 2], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/1048576, 139585
/262144], [0, 0]]]], [[3, 5, 6, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [558339/1048576, 139585/262144], [1, 1]]]],
[[3, 11, 8, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x
= 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-3, -3], [-3, -3]
]]], [[3, 11, 8, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-3, -3], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 11, 8, 1, 3], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]]
, [[3, 11, 8, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-3, -3], [908093/
524288, 1816187/1048576]]]], [[3, 11, 8, 1, 5], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [-3, -3], [3, 3]]]], [[3, 13, 5, 2, 1], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-
x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [-367677/524288, -1470707/2097152], [-3, -3]]]], [[3, 13, 5, 2, 2],
[And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v
^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-367677/524288, -1470707/2097152], [-1270261/
1048576, -317565/262144]]]], [[3, 13, 5, 2, 3], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-367677/524288, -1470707/2097152], [0, 0]]]], [[3
, 13, 5, 2, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(
-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-367677/524288, -\
1470707/2097152], [317565/262144, 1270261/1048576]]]], [[3, 13, 5, 2, 5], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1
), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-367677/524288, -1470707/2097152], [3, 3]]]], [[3
, 14, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y < 0, z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [-1, -1], [-3, -3]]]], [[3, 14, 1,
1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [-1, -1], [-2, -2]]]], [[3, 14, 1, 1, 3], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [-3, -3], [-1, -1], [0, 0]]]], [[3, 14, 1, 1
, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [-1, -1], [2, 2]]]], [[3, 14, 1, 1, 5], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-3, -3], [-1, -1], [3, 3]]]], [[3, 15, 7, 6, 1], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2
-1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [0, 0], [0, 0
]]]], [[4, 3, 10, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(u
^2-3 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-1101539/4194304, -1101539/4194304], [0, 0]]]], [[4
, 5, 6, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, z <
-(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [-2, -2], [-3, -3]]]], [[4, 5,
6, 1, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, z = -(-u
^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [-1138531/2097152, -569265/1048576], [-2, -2], [-1672107/1048576, -3344213/
2097152]]]], [[4, 5, 6, 1, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y
< -2*u^2+2, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/
1048576], [-2, -2], [-1/4194304, -1/4194304]]]], [[4, 5, 6, 1, 4], [v = -1, 
And(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-2, -2], [836053/524288, 1672107/1048576]]]], [[4,
5, 6, 1, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, (-u^2
-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [-2, -2], [3, 3]]]], [[4, 10, 1
, 2, 1], [v = -1, u = 1, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1
, -1], [1, 1], [-2, -2], [0, 0], [-3, -3]]]], [[4, 10, 1, 2, 2], [v = -1, u =
1, x < -1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2
], [0, 0], [-1482911/1048576, -741455/524288]]]], [[4, 10, 1, 2, 3], [v = -1,
u = 1, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
-1, -1], [1, 1], [-2, -2], [0, 0], [0, 0]]]], [[4, 10, 1, 2, 4], [v = -1, u =
1, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-2, -2]
, [0, 0], [741455/524288, 1482911/1048576]]]], [[4, 10, 1, 2, 5], [v = -1, u =
1, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [-2, -2]
, [0, 0], [3, 3]]]], [[4, 11, 9, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(0
< x,x < 1), And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1617841/2097152, -\
1617841/2097152], [-2, -2]]]], [[4, 11, 9, 5, 2], [v = -1, And(1 < u,u < 2^(1/
2)), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
1617841/2097152, -1617841/2097152], [-273157/524288, -1092627/2097152]]]], [[4
, 11, 9, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(u^2-x-2
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -\
1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1617841/2097152, -\
1617841/2097152], [-1/4194304, -1/4194304]]]], [[4, 11, 9, 5, 4], [v = -1, And
(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2]
, [-1617841/2097152, -1617841/2097152], [546313/1048576, 273157/524288]]]], [[
4, 11, 9, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(u^2-x-\
2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [1/2, 1/2], [-1617841/2097152, -1617841/2097152], [2, 2]]]],
[[5, 2, 3, 4, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2]
, [0, 0], [-3, -3]]]], [[5, 2, 3, 4, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2
), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[5, 2,
3, 4, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3
/2], [-2, -2], [0, 0], [0, 0]]]], [[5, 2, 3, 4, 4], [And(-1 < v,v < 0), u = -(
v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-3/2, -3/2], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]]
, [[5, 2, 3, 4, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1)
, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2
], [0, 0], [3, 3]]]], [[5, 3, 7, 9, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
1048576, 243021/1048576], [2, 2], [0, 0]]]], [[5, 12, 2, 2, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [-3, -3], [0, 0], [-3, -3]]]], [[5, 12, 2, 2, 2], [And(-1 <
v,v < 0), u = (v^2+2)^(1/2), x = -3, y = 0, z = -3^(1/2)], [regular_chain, [[-\
1/2, -1/2], [3/2, 3/2], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]
]]], [[5, 12, 2, 2, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, y = 0,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3
, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[5, 12, 2, 2, 4], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[-1/2, -1
/2], [3/2, 3/2], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[5, 
12, 2, 2, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [0, 0], [3, 3]]]], [[
5, 13, 6, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = 0, u^2-v^2-1 < y,
z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [0, 0], [9, 9], [0, 0]]]], [[6,
5, 11, 8, 1], [v = 0, And(-1 < u,u < 0), 1 < x, y = 0, z = z], [regular_chain,
[[0, 0], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[6, 7, 9, 2, 1], [v = 0, 
And(0 < u,u < 1), And(0 < x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-7/4, -7/4], [-3, -3]]]], [[6
, 7, 9, 2, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = -u^2-x-1, z = -
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-7/4, -7/4],
[-146543/131072, -1172343/1048576]]]], [[6, 7, 9, 2, 3], [v = 0, And(0 < u,u <
1), And(0 < x,x < 1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))]
, [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-7/4, -7/4], [0, 0]]]], [[
6, 7, 9, 2, 4], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y = -u^2-x-1, z =
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-7/4, -7/4],
[1172343/1048576, 146543/131072]]]], [[6, 7, 9, 2, 5], [v = 0, And(0 < u,u < 1
), And(0 < x,x < 1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0]
, [1/2, 1/2], [1/2, 1/2], [-7/4, -7/4], [3, 3]]]], [[6, 11, 11, 5, 1], [v = 0,
2^(1/2) < u, u^2-1 < x, And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0,
0], [3, 3], [9, 9], [-5, -5], [0, 0]]]], [[7, 2, 3, 1, 1], [And(0 < v,v < 1),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-2, -2], [-3, -3]]]], [[7
, 2, 3, 1, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2],
[-2, -2], [-2, -2]]]], [[7, 2, 3, 1, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2)
, And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-2, -2], [0, 0]]]], [[7,
2, 3, 1, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x
-3, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-\
2, -2], [2, 2]]]], [[7, 2, 3, 1, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 
And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-2, -2], [-2, -2], [3, 3]]]], [[7, 8, 3, 2, 1], [And(0 < v,v <
1), u = v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[1/2, 1/2],
[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[7, 8, 3, 2, 2], [And(0
< v,v < 1), u = v, And(-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[1/2
, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[7, 8, 3, 2, 3],
[And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]],
[[7, 8, 3, 2, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = -1-x, z = 1
], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [1, 1]
]]], [[7, 8, 3, 2, 5], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y = -1-x,
1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [
2, 2]]]], [[7, 9, 10, 8, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)),
x = 1, y = 0, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [1, 1], [0, 0], [0, 0]]]], [[7, 10, 8, 5, 1], [And(0 < v,v < 1), u =
(v^2+1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2],
[1172343/1048576, 146543/131072], [1, 1], [-1/2, -1/2], [0, 0]]]], [[7, 12, 1,
8, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x < -3, y = 1-x, z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-4, -4], [5, 5], [0, 0]]]], [[8, 4, 6
, 3, 1], [v = 1, u = -2^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1],
[-2, -2]]]], [[8, 4, 6, 3, 2], [v = 1, u = -2^(1/2), x = 0, And(-2 < y,y < 0),
z = -(-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[0, 0], [-1, -1], [-1, -1]]]], [[8, 4, 6, 3, 3], [v = 1, u = -2^(1/2), x = 0,
And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [0, 0]]]], [[8, 4, 6
, 3, 4], [v = 1, u = -2^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1],
[1, 1]]]], [[8, 4, 6, 3, 5], [v = 1, u = -2^(1/2), x = 0, And(-2 < y,y < 0), (
-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
0, 0], [-1, -1], [2, 2]]]], [[8, 5, 11, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1
), 1 < x, And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-12582911/4194304, -\
12582911/4194304], [-2, -2]]]], [[8, 5, 11, 3, 2], [v = 1, And(-2^(1/2) < u,u
< -1), 1 < x, And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-12582911/4194304, -\
12582911/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[8, 5
, 11, 3, 3], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x < y,y < u^2-x
-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [-3670015/8796093022208, -3670015/8796093022208]]]], [[8, 5, 11, 3,
4], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x < y,y < u^2-x-2), z =
(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[2, 2], [-12582911/4194304, -12582911/4194304], [1048575/1048576, 1]]]], [[8,
5, 11, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x < y,y < u^2-
x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [2, 2], [-12582911/4194304, -12582911/4194304], [2, 2]]]], [[8, 11,
1, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = u^2-x-2, z < -(-u^2+2)
^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3]
, [1288231/524288, 2576463/1048576], [-2, -2]]]], [[8, 11, 1, 6, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x < -u^2, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [1288231
/524288, 2576463/1048576], [-772605/1048576, -1545209/2097152]]]], [[8, 11, 1,
6, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = u^2-x-2, And(-(-u^2+2)^(1
/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576], [-1/4194304, -1
/4194304]]]], [[8, 11, 1, 6, 4], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y =
u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576], [193151/262144,
772605/1048576]]]], [[8, 11, 1, 6, 5], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^
2, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576
, 1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576], [2, 2]]]], [[
8, 12, 4, 4, 1], [v = 1, u = 2^(1/2), x = -1, y = 0, z < -1], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[8,
12, 4, 4, 2], [v = 1, u = 2^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[1
, 1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[8, 12
, 4, 4, 3], [v = 1, u = 2^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [0
, 0]]]], [[8, 12, 4, 4, 4], [v = 1, u = 2^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [1
, 1]]]], [[8, 12, 4, 4, 5], [v = 1, u = 2^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [2
, 2]]]], [[9, 2, 9, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x,
y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [-3, -3]]]],
[[9, 2, 9, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y < -x-3
, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [-2, -2]]]], [[9, 2, 9,
1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [0, 0]]]], [
[9, 2, 9, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y < -x-3,
z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [2, 2]]]], [[9, 2, 9, 1,
5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [2, 2], [-6, -6], [3, 3]]]], [[9, 4, 2, 2, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2,
-2], [0, 0], [-3, -3]]]], [[9, 4, 2, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [0, 0], [-\
1482911/1048576, -741455/524288]]]], [[9, 4, 2, 2, 3], [And(1 < v,v < 2^(1/2))
, u = -(v^2+1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-2, -2], [0, 0], [0, 0]]]], [[9, 4, 2, 2, 4], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [0,
0], [741455/524288, 1482911/1048576]]]], [[9, 4, 2, 2, 5], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2
], [0, 0], [3, 3]]]], [[9, 13, 1, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [-1, -1], [-3, -3]]]], [[9, 13, 1, 1, 2], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[9, 13, 1, 1, 3], [And(1 < v,v < 2
^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[9, 13, 1,
1, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[9, 13, 1,
1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1,
y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[9, 14, 3,
6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x,
z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[9, 14, 3, 6, 2], [And
(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[9, 14, 3, 6, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[10, 2, 8, 3, 1], [v = 2^(1/2),
u = -2, x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-5/2, -5/2], [-3, -3]]]],
[[10, 2, 8, 3, 2], [v = 2^(1/2), u = -2, x = 1, And(-4 < y,y < -1), z = -(-y-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[-5/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[10, 2, 8, 3, 3], [v = 2
^(1/2), u = -2, x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-\
5/2, -5/2], [0, 0]]]], [[10, 2, 8, 3, 4], [v = 2^(1/2), u = -2, x = 1, And(-4
< y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]],
[[10, 2, 8, 3, 5], [v = 2^(1/2), u = -2, x = 1, And(-4 < y,y < -1), (-y-1)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[-5/2, -5/2], [3, 3]]]], [[10, 4, 1, 4, 1], [v = 2^(1/2), u = -3^(1/2), x < -2
, y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[10, 4,
1, 4, 2], [v = 2^(1/2), u = -3^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[10, 4, 1,
4, 3], [v = 2^(1/2), u = -3^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [1, 1], [0, 0]]]], [[10, 4, 1, 4, 4], [v = 2^(1/2)
, u = -3^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [1,
1], [741455/524288, 1482911/1048576]]]], [[10, 4, 1, 4, 5], [v = 2^(1/2), u =
-3^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [1, 1], [3,
3]]]], [[10, 9, 1, 2, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = 0, z
< -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2
], [-4, -4], [0, 0], [-3, -3]]]], [[10, 9, 1, 2, 2], [v = 2^(1/2), And(-1 < u,
u < 0), x < u^2-3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-4, -4], [0, 0], [-2, -2]]]], [[10, 9, 1, 2,
3], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[-4, -4], [0, 0], [0, 0]]]], [[10, 9, 1, 2, 4], [v = 2^(1/2), And(-1 < u,u < 0
), x < u^2-3, y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [-4, -4], [0, 0], [2, 2]]]], [[10, 9, 1, 2, 5], [v =
2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = 0, (-x)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [0, 0], [3, 3]]]],
[[10, 10, 3, 3, 1], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(-x-3 < y,y <
0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[10, 10, 3, 3, 2], [v = 2^(1/2), u =
0, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1/2, -1/2], [-3315889
/2097152, -207243/131072]]]], [[10, 10, 3, 3, 3], [v = 2^(1/2), u = 0, And(-3
< x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1/2, -1/
2], [0, 0]]]], [[10, 10, 3, 3, 4], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), 
And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[10, 10, 3, 3, 5], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), And(
-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[10, 16, 3, 6, 1], [v =
2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2
], [3/2, 3/2], [-1, -1]]]], [[10, 16, 3, 6, 2], [v = 2^(1/2), u = 3^(1/2), And
(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]
], [[10, 16, 3, 6, 3], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x,
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[10, 17, 9, 3, 1], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-4156663/
2097152, -4156663/2097152], [-3, -3]]]], [[10, 17, 9, 3, 2], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152
, 3913339/2097152], [388511/524288, 388511/524288], [-4156663/2097152, -\
4156663/2097152], [-4563/4096, -1168127/1048576]]]], [[10, 17, 9, 3, 3], [v =
2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/
524288], [-4156663/2097152, -4156663/2097152], [0, 0]]]], [[10, 17, 9, 3, 4],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-4156663/
2097152, -4156663/2097152], [1168127/1048576, 4563/4096]]]], [[10, 17, 9, 3, 5
], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), And(-u^2-x+1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-\
4156663/2097152, -4156663/2097152], [3, 3]]]], [[10, 18, 5, 4, 1], [v = 2^(1/2
), u = 2, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 18
, 5, 4, 2], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [0, 0]
, [-1482911/2097152, -741455/1048576]]]], [[10, 18, 5, 4, 3], [v = 2^(1/2), u
= 2, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [0, 0]
, [0, 0]]]], [[10, 18, 5, 4, 4], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y = 0
, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[10, 18, 5, 4, 5], [v
= 2^(1/2), u = 2, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[
10, 19, 9, 5, 1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(-x < y,y < 0)
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2
], [-7/4, -7/4], [0, 0]]]], [[11, 6, 5, 2, 1], [2^(1/2) < v, u = -v, And(0 < x
,x < 1), y = -1-x, z < -1], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-3
/2, -3/2], [-2, -2]]]], [[11, 6, 5, 2, 2], [2^(1/2) < v, u = -v, And(0 < x,x <
1), y = -1-x, z = -1], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-3/2, -\
3/2], [-1, -1]]]], [[11, 6, 5, 2, 3], [2^(1/2) < v, u = -v, And(0 < x,x < 1),
y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [
-3/2, -3/2], [0, 0]]]], [[11, 6, 5, 2, 4], [2^(1/2) < v, u = -v, And(0 < x,x <
1), y = -1-x, z = 1], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-3/2, -3
/2], [1, 1]]]], [[11, 6, 5, 2, 5], [2^(1/2) < v, u = -v, And(0 < x,x < 1), y =
-1-x, 1 < z], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-3/2, -3/2], [2,
2]]]], [[11, 7, 11, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x
, And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-1, -1], [0, 0]]]], [[11, 12, 3, 7, 1], [2^(1/2) <
v, u = (v^2-2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-2, -2], [5/2, 5/2], [
0, 0]]]], [[11, 13, 7, 8, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^
(1/2)), And(0 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = z], [regular_chain, [
[3, 3], [1435023/524288, 1435023/524288], [133259/524288, 133259/524288], [
133259/524288, 266519/1048576], [0, 0]]]], [[11, 19, 9, 9, 1], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z =
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/
2097152, 1566621/2097152], [1, 1], [0, 0]]]], [[11, 21, 3, 1, 1], [2^(1/2) < v
, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9], [-9, -9], [-6, -6]]]], [[
11, 21, 3, 1, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-9, -9
], [-9, -9], [-1112183/262144, -4448731/1048576]]]], [[11, 21, 3, 1, 3], [2^(1
/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-9, -9
], [-9, -9], [0, 0]]]], [[11, 21, 3, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, 
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-9, -9], [-9, -9], [4448731/1048576, 1112183/
262144]]]], [[11, 21, 3, 1, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(-u^2+v^2-\
1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
5, 5], [-9, -9], [-9, -9], [6, 6]]]], [[1, 4, 8, 7, 1], [v < -2^(1/2), u = -(v
^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [1, 1], [0, 0]]]], [[1, 6, 3, 2, 1], [v < -2^
(1/2), u = v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-3, -3],
[-3, -3], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[1, 6, 3, 2, 2], [v < -2^(
1/2), u = v, And(-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[-3, -3],
[-3, -3], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 6, 3, 2, 3], [v < -2^(
1/2), u = v, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain,
[[-3, -3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[1, 6, 3, 2, 4],
[v < -2^(1/2), u = v, And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[-\
3, -3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[1, 6, 3, 2, 5], [v
< -2^(1/2), u = v, And(-1 < x,x < 0), y = -1-x, 1 < z], [regular_chain, [[-3,
-3], [-3, -3], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[1, 12, 1, 9, 1], [v <
-2^(1/2), u = (v^2-2)^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[-3, -3
], [2774271/1048576, 10837/4096], [-4, -4], [6, 6], [0, 0]]]], [[1, 13, 6, 5,
1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(0 < y,
y < -u^2+v^2-1), z = z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [0, 0], [133259/524288, 133259/524288], [0, 0]]]], [[1, 18, 2, 1, 1],
[v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [-1, -1],
[-3, -3]]]], [[1, 18, 2, 1, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y <
0, z = -(2-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[1, 18
, 2, 1, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2)
< z,z < (2-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[1, 18, 2, 1, 4],
[v < -2^(1/2), u = (v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-2, -2], [-1, -1],
[908093/524288, 1816187/1048576]]]], [[1, 18, 2, 1, 5], [v < -2^(1/2), u = (v^
2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[1, 19, 8, 4,
1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y
= -u^2+v^2+1, z < 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [129511/262144, 518045/1048576], [-518045/1048576, -129511/262144],
[-1, -1]]]], [[1, 19, 8, 4, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-518045/
1048576, -129511/262144], [0, 0]]]], [[1, 19, 8, 4, 3], [v < -2^(1/2), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [129511/262144,
518045/1048576], [-518045/1048576, -129511/262144], [1, 1]]]], [[2, 3, 11, 3,
1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [2, 2], [-6796923/2097152, -6796923/
2097152], [-3, -3]]]], [[2, 3, 11, 3, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/
2)), 1 < x, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2]
, [-6796923/2097152, -6796923/2097152], [-4563/4096, -1168127/1048576]]]], [[2
, 3, 11, 3, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-u^2-x+1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2]
, [-6796923/2097152, -6796923/2097152], [0, 0]]]], [[2, 3, 11, 3, 4], [v = -2^
(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [1168127/
1048576, 4563/4096]]]], [[2, 3, 11, 3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), 1 < x, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2]
, [-6796923/2097152, -6796923/2097152], [3, 3]]]], [[2, 5, 6, 6, 1], [v = -2^(
1/2), And(-3^(1/2) < u,u < v), x = u^2-3, y = -u^2+3, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [550769/1048576, 275385/524288], [-1, -1]]]]
, [[2, 5, 6, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, y = -u^
2+3, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [550769/
1048576, 275385/524288], [0, 0]]]], [[2, 5, 6, 6, 3], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [550769/1048576, 275385/524288], [1, 1]]]], [[2, 6,
3, 3, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[2, 6, 3,
3, 2], [v = -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -\
3632373/4194304]]]], [[2, 6, 3, 3, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 0)
, And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[2, 6, 3,
3, 4], [v = -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576, 454047/
524288]]]], [[2, 6, 3, 3, 5], [v = -2^(1/2), u = v, And(-1 < x,x < 0), And(-1-
x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/4, -1/4], [2, 2
]]]], [[2, 7, 10, 9, 1], [v = -2^(1/2), And(v < u,u < -1), x = 1, 0 < y, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1, 1], [1, 1], [0, 0]]]], [[2, 13, 8, 6, 1], [v = -2^(1/2),
And(1 < u,u < -v), x = 0, y = 0, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-1, -1]]]
], [[2, 13, 8, 6, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 0, y = 0, z = 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [0, 0], [0, 0], [0, 0]]]], [[2, 13, 8, 6, 3], [v = -2^(1/2), And(1
< u,u < -v), x = 0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[2,
15, 5, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), 
And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [1/2, 1/2], [-2, -2]]]], [[2, 15, 5, 7, 2], [v = -
2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [1/2,
1/2], [-1074733/2097152, -268683/524288]]]], [[2, 15, 5, 7, 3], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [1/2, 1/2], [0, 0]]]], [[2, 15, 5, 7, 4], [v = -2^(1/2), And
(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [1/2, 1/2], [
268683/524288, 537367/1048576]]]], [[2, 15, 5, 7, 5], [v = -2^(1/2), And(-v <
u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [1/2, 1/2], [2, 2]]]],
[[2, 19, 8, 5, 1], [v = -2^(1/2), 2 < u, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [1, 1], [-1/2, -1/
2], [0, 0]]]], [[3, 1, 11, 1, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2
), u^2-v^2-1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-18, -18], [-5, -5]]]],
[[3, 1, 11, 1, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u^2-v^2-1 <
x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [8, 8], [-18, -18], [-3315889/1048576, -207243/
65536]]]], [[3, 1, 11, 1, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), u
^2-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-18,
-18], [0, 0]]]], [[3, 1, 11, 1, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1
/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-18, -18], [207243/
65536, 3315889/1048576]]]], [[3, 1, 11, 1, 5], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [8, 8], [-18,
-18], [5, 5]]]], [[3, 7, 10, 5, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -
(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1273761/1048576, -1273761/1048576], [-2, -2]]]], [
[3, 7, 10, 5, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x
= 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1,
1], [-1273761/1048576, -1273761/1048576], [-242963/524288, -485925/1048576]]]]
, [[3, 7, 10, 5, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1273761/1048576, -1273761/1048576], [0, 0]]]], [[3
, 7, 10, 5, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-\
1273761/1048576, -1273761/1048576], [485925/1048576, 242963/524288]]]], [[3, 7
, 10, 5, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1,
And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-\
1273761/1048576, -1273761/1048576], [2, 2]]]], [[3, 9, 5, 8, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y =
-u^2+v^2-x-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
0, 0], [-1/2, -1/2], [501799/524288, 1003599/1048576], [0, 0]]]], [[3, 17, 7,
8, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = u^2
-v^2-x-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3
], [1/2, 1/2], [6336433/1048576, 3168217/524288], [0, 0]]]], [[4, 1, 10, 2, 1]
, [v = -1, u < -3^(1/2), x = u^2-2, y = -2*u^2+2, z < u], [regular_chain, [[-1
, -1], [-3, -3], [7, 7], [-16, -16], [-4, -4]]]], [[4, 1, 10, 2, 2], [v = -1,
u < -3^(1/2), x = u^2-2, y = -2*u^2+2, z = u], [regular_chain, [[-1, -1], [-3,
-3], [7, 7], [-16, -16], [-3, -3]]]], [[4, 1, 10, 2, 3], [v = -1, u < -3^(1/2)
, x = u^2-2, y = -2*u^2+2, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-3,
-3], [7, 7], [-16, -16], [0, 0]]]], [[4, 1, 10, 2, 4], [v = -1, u < -3^(1/2),
x = u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[-1, -1], [-3, -3], [7, 7],
[-16, -16], [3, 3]]]], [[4, 1, 10, 2, 5], [v = -1, u < -3^(1/2), x = u^2-2, y
= -2*u^2+2, -u < z], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [-16, -16],
[4, 4]]]], [[4, 7, 10, 1, 1], [v = -1, And(-1 < u,u < 0), x = 1, y < u^2-3, z
< -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-4, -4], [
-3, -3]]]], [[4, 7, 10, 1, 2], [v = -1, And(-1 < u,u < 0), x = 1, y < u^2-3, z
= -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-4, -4], [
-1816187/1048576, -3632373/2097152]]]], [[4, 7, 10, 1, 3], [v = -1, And(-1 < u
,u < 0), x = 1, y < u^2-3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[4, 7, 10, 1, 4], [v = -1, And(-1 < u,u < 0), x = 1, y < u^2-3,
z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [1, 1], [-4, -4],
[908093/524288, 1816187/1048576]]]], [[4, 7, 10, 1, 5], [v = -1, And(-1 < u,u
< 0), x = 1, y < u^2-3, (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -\
1/2], [1, 1], [-4, -4], [3, 3]]]], [[4, 9, 5, 4, 1], [v = -1, And(0 < u,u < 1)
, And(-1 < x,x < -u^2), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [1
/2, 1/2], [-5/8, -5/8], [0, 0], [-2, -2]]]], [[4, 9, 5, 4, 2], [v = -1, And(0
< u,u < 1), And(-1 < x,x < -u^2), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1, -1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [-3315889/4194304, -207243/262144]]]
], [[4, 9, 5, 4, 3], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [
-5/8, -5/8], [0, 0], [0, 0]]]], [[4, 9, 5, 4, 4], [v = -1, And(0 < u,u < 1), 
And(-1 < x,x < -u^2), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [1/2,
1/2], [-5/8, -5/8], [0, 0], [207243/262144, 828973/1048576]]]], [[4, 9, 5, 4,
5], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [2, 2]]]], [[4, 13
, 11, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-x < y,y < u^2-
x-2), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
2, 2], [-7392997/4194304, -7392997/4194304], [0, 0]]]], [[4, 15, 5, 1, 1], [v
= -1, 3^(1/2) < u, And(-1 < x,x < 0), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-10, -10], [-5, -5]]]], [[4,
15, 5, 1, 2], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y < -u^2-x, z = -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-10, -10], [-\
3397775/1048576, -1698887/524288]]]], [[4, 15, 5, 1, 3], [v = -1, 3^(1/2) < u,
And(-1 < x,x < 0), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-10, -10], [0, 0]]]], [[4, 15
, 5, 1, 4], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y < -u^2-x, z = (-x-y)^(1
/2)], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-10, -10], [1698887/
524288, 3397775/1048576]]]], [[4, 15, 5, 1, 5], [v = -1, 3^(1/2) < u, And(-1 <
x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-\
1/2, -1/2], [-10, -10], [5, 5]]]], [[5, 5, 10, 2, 1], [And(-1 < v,v < 0), And(
-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1260655/524288, -2521309/1048576], [-3, -3]]]], [[5, 5, 10, 2, 2], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[1, 1], [-1260655/524288, -2521309/1048576], [-19417/16384, -1242687/1048576]]
]], [[5, 5, 10, 2, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x =
1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-\
1260655/524288, -2521309/1048576], [0, 0]]]], [[5, 5, 10, 2, 4], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [1,
1], [-1260655/524288, -2521309/1048576], [1242687/1048576, 19417/16384]]]], [[
5, 5, 10, 2, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y =
-u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576], [3, 3
]]]], [[5, 7, 7, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1
< x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [-2, -2]]]],
[[5, 7, 7, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [-1, -1]]]],
[[5, 7, 7, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [0
, 0]]]], [[5, 7, 7, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2
-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [1, 1]]]], [
[5, 7, 7, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x <
0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [2, 2]]]], [[5, 8, 3, 5, 1]
, [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4],
[-2, -2]]]], [[5, 8, 3, 5, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/
2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[5, 8, 3, 5, 3], [And(-1 < v,v
< 0), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1/4,
1/4], [0, 0]]]], [[5, 8, 3, 5, 4], [And(-1 < v,v < 0), u = -v, And(-1 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[5, 8, 3, 5, 5], [And(-1 < v,v
< 0), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]],
[[5, 9, 11, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [-1784943/524288, -3569885/1048576]
, [-3, -3]]]], [[5, 9, 11, 2, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(
1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-1784943/524288, -\
3569885/1048576], [-19417/16384, -1242687/1048576]]]], [[5, 9, 11, 2, 3], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [2, 2], [-1784943/524288, -3569885/1048576]
, [0, 0]]]], [[5, 9, 11, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/
2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-1784943/524288, -3569885/
1048576], [1242687/1048576, 19417/16384]]]], [[5, 9, 11, 2, 5], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2,
2], [-1784943/524288, -3569885/1048576], [3, 3]]]], [[6, 2, 5, 1, 1], [v = 0,
u = -2^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [-4, -4]]
]], [[6, 2, 5, 1, 2], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y < -x-3, z = -
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[6, 2, 5, 1, 3]
, [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [
-1/2, -1/2], [-4, -4], [0, 0]]]], [[6, 2, 5, 1, 4], [v = 0, u = -2^(1/2), And(
-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911
/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/
524288]]]], [[6, 2, 5, 1, 5], [v = 0, u = -2^(1/2), And(-1 < x,x < 0), y < -x-\
3, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[6, 3, 9, 8, 1], [v = 0, And(-2^(
1/2) < u,u < -1), And(u^2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[0, 0]
, [-1265743/1048576, -1265743/1048576], [1527887/2097152, 1527887/2097152], [0
, 0], [0, 0]]]], [[6, 8, 5, 6, 1], [v = 0, u = 1, And(-1 < x,x < 0), y = -x, z
< 0], [regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]],
[[6, 8, 5, 6, 2], [v = 0, u = 1, And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[0, 0], [1, 1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[6, 8, 5
, 6, 3], [v = 0, u = 1, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[0
, 0], [1, 1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[6, 9, 11, 3, 1], [v = 0,
And(1 < u,u < 2^(1/2)), 1 < x, And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [-3385383/
1048576, -3385383/1048576], [-3, -3]]]], [[6, 9, 11, 3, 2], [v = 0, And(1 < u,
u < 2^(1/2)), 1 < x, And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [2, 2], [-3385383/
1048576, -3385383/1048576], [-1162243/1048576, -581121/524288]]]], [[6, 9, 11,
3, 3], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(-u^2-x-1 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [2, 2], [-3385383/1048576, -3385383/1048576], [0, 0]]]], [[6
, 9, 11, 3, 4], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, And(-u^2-x-1 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [2, 2], [-3385383/1048576, -3385383/1048576], [581121/524288, 
1162243/1048576]]]], [[6, 9, 11, 3, 5], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x,
And(-u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1265743
/1048576, 1265743/1048576], [2, 2], [-3385383/1048576, -3385383/1048576], [3,
3]]]], [[7, 4, 4, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1, y < -1
, z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[7, 4, 4, 1, 2], [And(0 < v,v < 1)
, u = -(v^2+1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[7, 4, 4, 1, 3], [And(0 < v,v < 1), u = -(v^2+
1)^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-2,
-2], [-1/4194304, -1/4194304]]]], [[7, 4, 4, 1, 4], [And(0 < v,v < 1), u = -(v
^2+1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/
1048576]]]], [[7, 4, 4, 1, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = -1,
y < -1, (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[7, 5, 9, 9, 1], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[1, 1], [0, 0]]]], [[8, 1, 2, 5, 1], [v = 1, u < -3^(1/2), x = -u^2, And(u^2 <
y,y < 2*u^2-2), z = z], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [25/2, 25
/2], [0, 0]]]], [[8, 2, 4, 6, 1], [v = 1, u = -3^(1/2), x = -1, y = 1, z < 0],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1
], [-1, -1]]]], [[8, 2, 4, 6, 2], [v = 1, u = -3^(1/2), x = -1, y = 1, z = 0],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1
], [0, 0]]]], [[8, 2, 4, 6, 3], [v = 1, u = -3^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1]
, [1, 1]]]], [[8, 8, 5, 4, 1], [v = 1, u = 0, And(-1 < x,x < 0), y = 0, z < -(
-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]]
, [[8, 8, 5, 4, 2], [v = 1, u = 0, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[8, 8, 5, 4, 3], [v = 1, u = 0, And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-1/2,
-1/2], [0, 0], [0, 0]]]], [[8, 8, 5, 4, 4], [v = 1, u = 0, And(-1 < x,x < 0),
y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [0, 0],
[741455/1048576, 46341/65536]]]], [[8, 8, 5, 4, 5], [v = 1, u = 0, And(-1 < x,
x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2],
[0, 0], [2, 2]]]], [[8, 9, 10, 6, 1], [v = 1, And(0 < u,u < 1), x = 1, y = -1,
z < 0], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-1, -1], [-1, -1]]]], [[
8, 9, 10, 6, 2], [v = 1, And(0 < u,u < 1), x = 1, y = -1, z = 0], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-1, -1], [0, 0]]]], [[8, 9, 10, 6
, 3], [v = 1, And(0 < u,u < 1), x = 1, y = -1, 0 < z], [regular_chain, [[1, 1]
, [1/2, 1/2], [1, 1], [-1, -1], [1, 1]]]], [[8, 14, 6, 2, 1], [v = 1, u = 3^(1
/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[8, 14, 6, 2, 2], [v = 1, u
= 3^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[8, 14, 6, 2, 3], [v = 1, u = 3^(1/2), x = 0, y = -3, And(-3^(1/
2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[8, 14, 6, 2, 4], [v = 1, u
= 3^(1/2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]
], [[8, 14, 6, 2, 5], [v = 1, u = 3^(1/2), x = 0, y = -3, 3^(1/2) < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [-3, -3], [3
, 3]]]], [[8, 15, 10, 3, 1], [v = 1, 3^(1/2) < u, x = u^2-2, And(-2*u^2+2 < y,
y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [3, 3], [7, 7],
[-23/2, -23/2], [-4, -4]]]], [[8, 15, 10, 3, 2], [v = 1, 3^(1/2) < u, x = u^2-\
2, And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1,
1], [3, 3], [7, 7], [-23/2, -23/2], [-1112183/524288, -2224365/1048576]]]], [[
8, 15, 10, 3, 3], [v = 1, 3^(1/2) < u, x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2)
, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [
3, 3], [7, 7], [-23/2, -23/2], [0, 0]]]], [[8, 15, 10, 3, 4], [v = 1, 3^(1/2)
< u, x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [7, 7], [-23/2, -23/2], [2224365/1048576, 
1112183/524288]]]], [[8, 15, 10, 3, 5], [v = 1, 3^(1/2) < u, x = u^2-2, And(-2
*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [3, 3]
, [7, 7], [-23/2, -23/2], [4, 4]]]], [[9, 6, 5, 7, 1], [And(1 < v,v < 2^(1/2))
, u = -v, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1, 1], [0
, 0]]]], [[9, 8, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2
, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1/2, 1/2], [-\
3, -3]]]], [[9, 8, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x <
-2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1/2, 1/2],
[-3315889/2097152, -207243/131072]]]], [[9, 8, 1, 3, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877
/2097152, -354469/524288], [-3, -3], [1/2, 1/2], [0, 0]]]], [[9, 8, 1, 3, 4],
[And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[9, 8, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x
< -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1/2,
1/2], [3, 3]]]], [[9, 9, 1, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(-x < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [4433959
/1048576, 4433959/1048576], [0, 0]]]], [[9, 10, 4, 5, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9, 10, 4, 5, 2], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[9, 
10, 4, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, And(0 < y,y
< 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[9, 10, 4, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2),
x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[9, 10, 4, 5, 5], [And(1 < v,v < 2^(1/2)), u
= (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[9, 16, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)
^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 16, 5, 5, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 16, 5
, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/
2], [1/4, 1/4], [0, 0]]]], [[9, 16, 5, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^
2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 16, 5, 5, 5], [And(1 <
v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 17, 9, 6, 1
], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = 0
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [0, 0], [0, 0]]]], [[10, 5, 1, 8, 1], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = -x, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3,
-3], [3, 3], [-1, -1]]]], [[10, 5, 1, 8, 2], [v = 2^(1/2), And(-3^(1/2) < u,u
< -v), x < -u^2+1, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [3, 3], [0, 0]]]], [
[10, 5, 1, 8, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, y = -x,
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-3, -3], [3, 3], [1, 1]]]], [[10, 6, 5, 1, 1], [v = 2^(1/2
), u = -v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2
], [-3, -3], [-3, -3]]]], [[10, 6, 5, 1, 2], [v = 2^(1/2), u = -v, And(0 < x,x
< 1), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3, -3], [-3315889/
2097152, -207243/131072]]]], [[10, 6, 5, 1, 3], [v = 2^(1/2), u = -v, And(0 <
x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1
/2], [-3, -3], [0, 0]]]], [[10, 6, 5, 1, 4], [v = 2^(1/2), u = -v, And(0 < x,x
< 1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3, -3], [207243/
131072, 1657945/1048576]]]], [[10, 6, 5, 1, 5], [v = 2^(1/2), u = -v, And(0 <
x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3, -3], [3
, 3]]]], [[10, 12, 4, 5, 1], [v = 2^(1/2), u = 1, x = -1, And(0 < y,y < 1), z
< -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-\
1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 12, 4, 5, 2], [v = 2^(1/2), u = 1, x =
-1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[10, 12, 4, 5, 3], [v = 2^(1/2), u = 1, x = -1, And(0 < y,y < 1)
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 12, 4, 5, 4],
[v = 2^(1/2), u = 1, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1/2, 1/2]
, [741455/1048576, 46341/65536]]]], [[10, 12, 4, 5, 5], [v = 2^(1/2), u = 1, x
= -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 13, 9, 9, 1],
[v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[11, 2, 8, 2, 1], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[11, 2, 8,
2, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-4, -4],
[-1816187/1048576, -3632373/2097152]]]], [[11, 2, 8, 2, 3], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-4, -4], [-1/4194304, -\
1/4194304]]]], [[11, 2, 8, 2, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, y =
-4, z = 3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576]
, [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[11, 2, 8, 2, 5], [2
^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-4, -4], [3, 3]]]], [[11
, 4, 1, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536]
, [-3, -3], [1/2, 1/2], [-3, -3]]]], [[11, 4, 1, 3, 2], [2^(1/2) < v, u = -(v^
2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [
[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [1/2, 1/2], [-3315889/
2097152, -207243/131072]]]], [[11, 4, 1, 3, 3], [2^(1/2) < v, u = -(v^2+1)^(1/
2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [1/2, 1/2
], [0, 0]]]], [[11, 4, 1, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And
(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576
]]]], [[11, 4, 1, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, And(0 < y,y
< -x-2), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-3, -3], [1/2, 1/2], [3, 3]]]], [[11, 10, 3, 4, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [0, 0]
, [-3, -3]]]], [[11, 10, 3, 4, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 <
x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152
, -2774271/1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]],
[[11, 10, 3, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [0, 0], [0, 0]]]], [[11, 10, 3, 4, 4], [
2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [0, 0]
, [741455/524288, 1482911/1048576]]]], [[11, 10, 3, 4, 5], [2^(1/2) < v, u = -
(v^2-2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3
, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [0, 0], [3, 3]]]], [[11,
11, 7, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 <
x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [0, 0], [1/2, 1/
2], [-1/4, -1/4], [0, 0]]]], [[11, 15, 10, 5, 1], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-2613723/
2097152, -2613723/2097152], [-2, -2]]]], [[11, 15, 10, 5, 2], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(
1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-\
2613723/2097152, -2613723/2097152], [-16263/32768, -520415/1048576]]]], [[11,
15, 10, 5, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2
-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [1, 1], [-2613723/2097152, -2613723/
2097152], [0, 0]]]], [[11, 15, 10, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-2613723/2097152, -\
2613723/2097152], [520415/1048576, 16263/32768]]]], [[11, 15, 10, 5, 5], [2^(1
/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-\
1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1
, 1], [-2613723/2097152, -2613723/2097152], [2, 2]]]], [[11, 17, 7, 2, 1], [2^
(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^
2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [-325091/262144, -\
1300363/1048576], [-3, -3]]]], [[11, 17, 7, 2, 2], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/
4194304, -1062385/4194304], [-325091/262144, -1300363/1048576], [-1281417/
1048576, -160177/131072]]]], [[11, 17, 7, 2, 3], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [-325091/262144, -\
1300363/1048576], [0, 0]]]], [[11, 17, 7, 2, 4], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/
2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/
4194304, -1062385/4194304], [-325091/262144, -1300363/1048576], [160177/131072
, 1281417/1048576]]]], [[11, 17, 7, 2, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)
^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-325091/262144, -1300363/1048576], [3, 3]]]], [[1, 1, 4, 3,
1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), z < -(
1-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-8, -8], [-4, -4]
]]], [[1, 1, 4, 3, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2
< y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1],
[-8, -8], [-3, -3]]]], [[1, 1, 4, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x
= -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-8, -8], [0, 0]]]], [[1, 1, 4,
3, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), z =
(1-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [-8, -8], [3, 3]]
]], [[1, 1, 4, 3, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1, -1], [
-8, -8], [4, 4]]]], [[1, 2, 6, 6, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = 0
, y = 1, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576
], [0, 0], [1, 1], [0, 0]]]], [[1, 8, 8, 1, 1], [v < -2^(1/2), u = -(v^2-1)^(1
/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [1, 1], [-4, -4], [-3, -3]]]], [[1, 8, 8, 1, 2],
[v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [-4,
-4], [-1816187/1048576, -3632373/2097152]]]], [[1, 8, 8, 1, 3], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [1, 1], [-4,
-4], [-1/4194304, -1/4194304]]]], [[1, 8, 8, 1, 4], [v < -2^(1/2), u = -(v^2-1
)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [-4, -4], [908093/524288, 1816187
/1048576]]]], [[1, 8, 8, 1, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = 1, y <
-3, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [1, 1], [-4, -4], [3, 3]]]], [[1, 10, 1, 8, 1], [v < -2^(1/2), u =
-(v^2-2)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-4, -4], [5, 5], [0, 0]]]], [[1, 14, 3, 1, 1], [v
< -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2],
[-2, -2], [-3, -3]]]], [[1, 14, 3, 1, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 
And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -\
980853/524288]]]], [[1, 14, 3, 1, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2
< x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-2,
-2], [0, 0]]]], [[1, 14, 3, 1, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 <
x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/
1048576]]]], [[1, 14, 3, 1, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x
< -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144,
2965821/1048576], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[1, 15, 9, 2, 1], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [-3, -3]]]], [[1, 15
, 9, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y
= u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [-\
1287385/1048576, -160923/131072]]]], [[1, 15, 9, 2, 3], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(
1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152
, 6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [0, 0]]]],
[[1, 15, 9, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x <
1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/
262144], [160923/131072, 1287385/1048576]]]], [[1, 15, 9, 2, 5], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+
1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[1/2, 1/2], [-2104869/1048576, -526217/262144], [3, 3]]]], [[1, 21, 8, 6, 1],
[v < -2^(1/2), (v^2+2)^(1/2) < u, x = 1, y = 0, z = z], [regular_chain, [[-3,
-3], [5, 5], [1, 1], [0, 0], [0, 0]]]], [[2, 1, 11, 2, 1], [v = -2^(1/2), u <
-2, u^2-3 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [7, 7], [-15, -15], [-4, -4]]]], [[2, 1, 
11, 2, 2], [v = -2^(1/2), u < -2, u^2-3 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-15,
-15], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 11, 2, 3], [v = -2^(1/
2), u < -2, u^2-3 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7, 7], [-15
, -15], [-3/8388608, -3/8388608]]]], [[2, 1, 11, 2, 4], [v = -2^(1/2), u < -2,
u^2-3 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [7, 7], [-15, -15], [741455/262144, 
2965821/1048576]]]], [[2, 1, 11, 2, 5], [v = -2^(1/2), u < -2, u^2-3 < x, y =
-u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [7, 7], [-15, -15], [4, 4]]]], [[2, 10, 1, 8, 1], [v = -2^(
1/2), u = 0, x < -3, y = 1-x, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-4, -4], [5, 5], [0, 0]]]], [[2, 11, 6, 4, 1], [v = -
2^(1/2), And(0 < u,u < 1), x = 0, y = 0, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[2, 11, 6,
4, 2], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y = 0, z = 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [0, 0], [0, 0]]]], [[
2, 11, 6, 4, 3], [v = -2^(1/2), And(0 < u,u < 1), x = 0, y = 0, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [0, 0]
, [1, 1]]]], [[2, 17, 8, 1, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2
-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-4, -4], [-3, -3]]]], [[2, 17, 8, 1, 2], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), x = u^2-3, y < -2*u^2+4, z = -(-u^2-y+3)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [
505467/1048576, 126367/262144], [-4, -4], [-7866919/4194304, -15733837/8388608
]]]], [[2, 17, 8, 1, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y <
-2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467
/1048576, 126367/262144], [-4, -4], [-5/16777216, -5/16777216]]]], [[2, 17, 8,
1, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y < -2*u^2+4, z = (-u
^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-4, -4], [1966729
/1048576, 983365/524288]]]], [[2, 17, 8, 1, 5], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), x = u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [505467/
1048576, 126367/262144], [-4, -4], [3, 3]]]], [[2, 19, 1, 6, 1], [v = -2^(1/2)
, 2 < u, x < -u^2+1, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [-9, -9], [9, 9], [-1, -1]]]], [[2, 19, 1, 6, 2], [v =
-2^(1/2), 2 < u, x < -u^2+1, y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-9, -9], [9, 9], [0, 0]]]], [[2, 19, 1, 6,
3], [v = -2^(1/2), 2 < u, x < -u^2+1, y = -x, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [-9, -9], [9, 9], [1, 1]]]], [[3, 3,
11, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2
, 2], [-2348135/524288, -4696269/1048576], [-3, -3]]]], [[3, 3, 11, 2, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y
= -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-2348135/
524288, -4696269/1048576], [-3301741/2097152, -825435/524288]]]], [[3, 3, 11,
2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-2348135/524288, -4696269/1048576], [0, 0]]]], [[3
, 3, 11, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [2
, 2], [-2348135/524288, -4696269/1048576], [825435/524288, 1650871/1048576]]]]
, [[3, 3, 11, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[2, 2], [-2348135/524288, -4696269/1048576], [3, 3]]]], [[3, 5, 6, 5, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y
,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/
2097152, -558339/1048576], [558339/2097152, 558339/2097152], [-2, -2]]]], [[3,
5, 6, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2
-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1116679/2097152, -558339/1048576], [558339/2097152, 558339/2097152], [-\
1082093/2097152, -270523/524288]]]], [[3, 5, 6, 5, 3], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), 
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [558339/2097152, 558339/2097152], [0, 0]]]]
, [[3, 5, 6, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/2097152, 558339
/2097152], [270523/524288, 541047/1048576]]]], [[3, 5, 6, 5, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+
v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [558339/2097152, 558339/2097152], [2, 2]]]], [[3, 11, 8, 2, 1
], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0, y = u^2-v^
2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [0, 0], [-1646781/1048576, -\
3293561/2097152], [-3, -3]]]], [[3, 11, 8, 2, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [0, 0], [-1646781/1048576, -3293561/2097152], [-1314069/1048576, -\
328517/262144]]]], [[3, 11, 8, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(
1/2) < u,u < -v), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+
v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [0, 0], [-1646781/1048576, -3293561/2097152], [0, 0
]]]], [[3, 11, 8, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-\
1646781/1048576, -3293561/2097152], [328517/262144, 1314069/1048576]]]], [[3,
11, 8, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 0,
y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-1646781/1048576,
-3293561/2097152], [3, 3]]]], [[3, 13, 5, 3, 1], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y
,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [-1470707/4194304, -1470707/4194304], [-3, -3]]]], [[3, 13, 5, 3, 2]
, [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2
-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [-1470707/4194304, -1470707/4194304], [-\
1108163/1048576, -554081/524288]]]], [[3, 13, 5, 3, 3], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-\
1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [-1470707/4194304, -1470707/4194304], [0,
0]]]], [[3, 13, 5, 3, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [-1470707/4194304, -\
1470707/4194304], [554081/524288, 1108163/1048576]]]], [[3, 13, 5, 3, 5], [And
(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1
), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-1470707/4194304, -1470707/4194304], [3, 3]]]], [
[3, 14, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y = 0,
z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [0, 0], [-3, -3]]]], [[3, 14, 1, 2,
2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y = 0, z = -(-x)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[3
, 14, 1, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[3, 14, 1, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[3, 14, 1, 2, 5], [And(-2^(1/2) < v,v < -\
1), u = (v^2+1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3]
, [0, 0], [3, 3]]]], [[3, 15, 7, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2
-x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [501965/2097152, 501965/2097152], [125491/1048576, 
125491/1048576], [0, 0]]]], [[4, 3, 10, 6, 1], [v = -1, And(-3^(1/2) < u,u < -
2^(1/2)), x = 1, y = u^2-3, z = z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [1, 1], [-275385/524288, -1101539/2097152], [0, 0]
]]], [[4, 5, 5, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2
), -x < y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [0, 0]]]], [[4, 10, 1,
3, 1], [v = -1, u = 1, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[4, 10,
1, 3, 2], [v = -1, u = 1, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [1/2, 1/2], [-1284239/1048576, -\
642119/524288]]]], [[4, 10, 1, 3, 3], [v = -1, u = 1, x < -1, And(0 < y,y < -1
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1,
1], [-2, -2], [1/2, 1/2], [0, 0]]]], [[4, 10, 1, 3, 4], [v = -1, u = 1, x < -1
, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [
-2, -2], [1/2, 1/2], [642119/524288, 1284239/1048576]]]], [[4, 10, 1, 3, 5], [
v = -1, u = 1, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [1, 1], [-2, -2], [1/2, 1/2], [3, 3]]]], [[4, 11, 9, 6, 1], [v = -1
, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[
-1, -1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1
]]]], [[4, 11, 9, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y
= -x, z = 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [
1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 11, 9, 6, 3], [v = -1, And(1 < u,u <
2^(1/2)), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[5, 2
, 3, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x
-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2]
, [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[5, 2, 3, 3, 2], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-1/2, -1/2], [-3315889
/2097152, -207243/131072]]]], [[5, 2, 3, 3, 3], [And(-1 < v,v < 0), u = -(v^2+
2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-2, -2], [-1/2, -\
1/2], [0, 0]]]], [[5, 2, 3, 3, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And
(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/
2, -1/2], [-3/2, -3/2], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[5, 2, 3, 3, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-3
< x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-3/2, -3/2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[5, 3, 7, 8, 1], [And(
-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v
^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144
, -343151/262144], [243021/1048576, 243021/1048576], [243021/1048576, 121511/
524288], [0, 0]]]], [[5, 12, 2, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3
/2, 3/2], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[5, 12, 2, 3, 2], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [3/2, 3/2], [-1284239/
1048576, -642119/524288]]]], [[5, 12, 2, 3, 3], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [3/2, 3/2], [0, 0]]]], [[5
, 12, 2, 3, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3
), z = (3-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [3/2
, 3/2], [642119/524288, 1284239/1048576]]]], [[5, 12, 2, 3, 5], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-3, -3], [3/2, 3/2], [3, 3]]]], [[5
, 13, 7, 1, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -
u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2,
1/2], [-12, -12], [-5, -5]]]], [[5, 13, 7, 1, 2], [And(-1 < v,v < 0), (v^2+2)^
(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-12, -12], [-3555895/
1048576, -1777947/524288]]]], [[5, 13, 7, 1, 3], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-12, -12], [0, 0
]]]], [[5, 13, 7, 1, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x <
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3]
, [1/2, 1/2], [-12, -12], [1777947/524288, 3555895/1048576]]]], [[5, 13, 7, 1,
5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1,
(-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [1/2, 1/2], [-12, -\
12], [5, 5]]]], [[6, 5, 11, 7, 1], [v = 0, And(-1 < u,u < 0), 1 < x, And(-x <
y,y < 0), z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [2, 2], [-1, -1], [0,
0]]]], [[6, 7, 9, 1, 1], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y < -u^2-
x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-3,
-3], [-3, -3]]]], [[6, 7, 9, 1, 2], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1)
, y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2,
1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[6, 7, 9, 1, 3], [v =
0, And(0 < u,u < 1), And(0 < x,x < 1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-3, -3], [0,
0]]]], [[6, 7, 9, 1, 4], [v = 0, And(0 < u,u < 1), And(0 < x,x < 1), y < -u^2-
x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [1/2, 1/2], [-3,
-3], [207243/131072, 1657945/1048576]]]], [[6, 7, 9, 1, 5], [v = 0, And(0 < u,
u < 1), And(0 < x,x < 1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0
, 0], [1/2, 1/2], [1/2, 1/2], [-3, -3], [3, 3]]]], [[6, 11, 11, 6, 1], [v = 0,
2^(1/2) < u, u^2-1 < x, y = u^2-x-1, z = z], [regular_chain, [[0, 0], [3, 3],
[9, 9], [-1, -1], [0, 0]]]], [[7, 2, 3, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[1/2, 1/
2], [-3/2, -3/2], [-2, -2], [-1, -1], [-3, -3]]]], [[7, 2, 3, 2, 2], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[7, 2, 3, 2, 3], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[7, 2, 3, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 <
x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2],
[-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[7, 2, 3, 2, 5], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-2, -2], [-1, -1], [3, 3]]]],
[[7, 8, 3, 1, 1], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y < -1-x, z < -
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-2, -2]
, [-3, -3]]]], [[7, 8, 3, 1, 2], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0),
y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2,
-1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[7, 8, 3, 1, 3], [And
(0 < v,v < 1), u = v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-2, -2]
, [0, 0]]]], [[7, 8, 3, 1, 4], [And(0 < v,v < 1), u = v, And(-1 < x,x < 0), y
< -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/
2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[7, 8, 3, 1, 5], [And(0 <
v,v < 1), u = v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[7
, 9, 10, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-1
< y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[7, 10, 8, 4, 1], [And(0 < v,v < 1
), u = (v^2+1)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1, 1], [-1, -1], [-1, -1]]]], [[7, 10, 8, 4,
2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, y = -1, z = 0], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [-1, -1]
, [0, 0]]]], [[7, 10, 8, 4, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, y
= -1, 0 < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [
1, 1], [-1, -1], [1, 1]]]], [[7, 12, 1, 7, 1], [And(0 < v,v < 1), u = (v^2+2)^
(1/2), x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-4, -4], [9/2, 9/2], [0, 0]]]], [[8, 4, 6, 4, 1], [v = 1, u = -2^(1/2),
x = 0, y = 0, z < 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [0, 0], [0, 0], [-1, -1]]]], [[8, 4, 6, 4, 2], [v = 1, u = -2^(1/2),
x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [0, 0], [0, 0], [0, 0]]]], [[8, 4, 6, 4, 3], [v = 1, u = -2^(1/2), x
= 0, y = 0, 0 < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288
], [0, 0], [0, 0], [1, 1]]]], [[8, 5, 11, 4, 1], [v = 1, And(-2^(1/2) < u,u <
-1), 1 < x, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-5332835/2097152, -2666417/
1048576], [-2, -2]]]], [[8, 5, 11, 4, 2], [v = 1, And(-2^(1/2) < u,u < -1), 1
< x, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [2, 2], [-5332835/2097152, -2666417/1048576], [-\
772605/1048576, -1545209/2097152]]]], [[8, 5, 11, 4, 3], [v = 1, And(-2^(1/2)
< u,u < -1), 1 < x, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
5332835/2097152, -2666417/1048576], [-1/4194304, -1/4194304]]]], [[8, 5, 11, 4
, 4], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y = u^2-x-2, z = (-u^2+2)^(1/2)
], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
5332835/2097152, -2666417/1048576], [193151/262144, 772605/1048576]]]], [[8, 5
, 11, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), 1 < x, y = u^2-x-2, (-u^2+2)^(1
/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [2, 2
], [-5332835/2097152, -2666417/1048576], [2, 2]]]], [[8, 11, 1, 5, 1], [v = 1,
And(1 < u,u < 2^(1/2)), x < -u^2, And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/
2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [2
, 2], [-2, -2]]]], [[8, 11, 1, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2
, And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[8, 11, 1,
5, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(-u^2-x < y,y < u^2-x-2),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3, -3], [2, 2], [0, 0]]]], [[8, 11, 1, 5, 4], [v
= 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(-u^2-x < y,y < u^2-x-2), z = (-x-y)
^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3]
, [2, 2], [1, 1]]]], [[8, 11, 1, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x < -u
^2, And(-u^2-x < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [2, 2]]]], [[8, 12, 4, 3,
1], [v = 1, u = 2^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/
2], [-3, -3]]]], [[8, 12, 4, 3, 2], [v = 1, u = 2^(1/2), x = -1, And(-1 < y,y
< 0), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[8,
12, 4, 3, 3], [v = 1, u = 2^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[8, 12, 4, 3, 4], [v = 1, u = 2^
(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[8, 12, 4, 3, 5], [v = 1, u = 2^(1/2), x = -1, And(-1 <
y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[9, 2, 9, 2, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [2,
2], [-5, -5], [-3, -3]]]], [[9, 2, 9, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^
2+2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 2, 9, 2, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[9, 2, 9, 2,
4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[9,
2, 9, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, 3^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [2, 2], [-5, -5], [3, 3]]]], [[9, 4, 2, 3, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-2, -2], [1, 1], [-2, -2]]]], [[9, 4, 2, 3, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-2, -2], [1, 1], [-1, -1]]]], [[9, 4, 2, 3, 3], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-
y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [-2, -2], [1, 1], [0, 0]]]], [[9
, 4, 2, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, And(0 < y,
y < 2), z = (2-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-410915/262144, -3287319/2097152], [-2, -2], [1, 1], [1, 1]]]], [[9, 4, 2, 3,
5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2-
y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [-2, -2], [1, 1], [2, 2]]]], [[9, 12, 7, 7, 1], [
And(1 < v,v < 2^(1/2)), u = v, 1 < x, 0 < y, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [1, 1]
, [0, 0]]]], [[9, 14, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3
/2], [3/4, 3/4], [-2, -2]]]], [[9, 14, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u =
(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[
9, 14, 3, 5, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1
), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2
, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[9, 14, 3, 5, 4], [And(1 <
v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/
524288]]]], [[9, 14, 3, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And
(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3
/2], [3/4, 3/4], [2, 2]]]], [[10, 2, 8, 4, 1], [v = 2^(1/2), u = -2, x = 1, y
= -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1,
1], [-1, -1], [-1, -1]]]], [[10, 2, 8, 4, 2], [v = 2^(1/2), u = -2, x = 1, y =
-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1
], [-1, -1], [0, 0]]]], [[10, 2, 8, 4, 3], [v = 2^(1/2), u = -2, x = 1, y = -1
, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[-1, -1], [1, 1]]]], [[10, 4, 1, 5, 1], [v = 2^(1/2), u = -3^(1/2), x < -2, 
And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [2, 2], [-2,
-2]]]], [[10, 4, 1, 5, 2], [v = 2^(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1816187/1048576, -3632373/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[10, 4,
1, 5, 3], [v = 2^(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [2, 2], [0, 0]]]], [
[10, 4, 1, 5, 4], [v = 2^(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3, -3], [2, 2], [1, 1]]]], [[10, 4, 1, 5, 5], [v
= 2^(1/2), u = -3^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3, -3], [2, 2], [2, 2]]]], [[10, 9, 1, 1, 1], [v = 2^(1/2), And(-1
< u,u < 0), x < u^2-3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [-1, -1], [-4, -4]]]], [[10,
9, 1, 1, 2], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y < 0, z = -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4
], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[10, 9, 1, 1, 3], [v = 2^(
1/2), And(-1 < u,u < 0), x < u^2-3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -\
4], [-1, -1], [0, 0]]]], [[10, 9, 1, 1, 4], [v = 2^(1/2), And(-1 < u,u < 0), x
< u^2-3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]]
, [[10, 9, 1, 1, 5], [v = 2^(1/2), And(-1 < u,u < 0), x < u^2-3, y < 0, (-x-y)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[-4, -4], [-1, -1], [4, 4]]]], [[10, 10, 3, 2, 1], [v = 2^(1/2), u = 0, And(-3
< x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [0, 0], [-2, -2], [-1, -1], [-3, -3]]]], [[10, 10, 3, 2, 2], [v = 2
^(1/2), u = 0, And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1, -1], [-1816187/1048576
, -3632373/2097152]]]], [[10, 10, 3, 2, 3], [v = 2^(1/2), u = 0, And(-3 < x,x
< -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]
]]], [[10, 10, 3, 2, 4], [v = 2^(1/2), u = 0, And(-3 < x,x < -1), y = -x-3, z
= 3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-2, -2
], [-1, -1], [908093/524288, 1816187/1048576]]]], [[10, 10, 3, 2, 5], [v = 2^(
1/2), u = 0, And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1, -1], [3, 3]]]], [[10,
16, 3, 7, 1], [v = 2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), -x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [3, 3], [0, 0]]]], [[10, 17, 9, 4, 1], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y = -x, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [388511
/524288, 388511/524288], [-388511/524288, -388511/524288], [-1, -1]]]], [[10,
17, 9, 4, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y =
-x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [388511/524288, 388511/524288], [-388511/524288, -\
388511/524288], [0, 0]]]], [[10, 17, 9, 4, 3], [v = 2^(1/2), And(3^(1/2) < u,u
< 2), And(u^2-3 < x,x < 1), y = -x, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/
524288], [-388511/524288, -388511/524288], [1, 1]]]], [[10, 18, 5, 5, 1], [v =
2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [1/4,
1/4], [-2, -2]]]], [[10, 18, 5, 5, 2], [v = 2^(1/2), u = 2, And(-1 < x,x < 0),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 18,
5, 5, 3], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 18, 5, 5, 4], [v
= 2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [1/4,
1/4], [1/2, 1/2]]]], [[10, 18, 5, 5, 5], [v = 2^(1/2), u = 2, And(-1 < x,x < 0
), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 19, 9, 6,
1], [v = 2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = 0, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [7/2, 7/2], [0, 0], [0, 0]]]], [[11
, 6, 5, 1, 1], [2^(1/2) < v, u = -v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(
1/2)], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-3, -3], [-3, -3]]]], [
[11, 6, 5, 1, 2], [2^(1/2) < v, u = -v, And(0 < x,x < 1), y < -1-x, z = -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-3, -3], [-3315889/
2097152, -207243/131072]]]], [[11, 6, 5, 1, 3], [2^(1/2) < v, u = -v, And(0 <
x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [-3, -3], [1/2, 1/2], [-3, -3], [0, 0]]]], [[11, 6, 5, 1, 4], [2^(1/2
) < v, u = -v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain,
[[3, 3], [-3, -3], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]],
[[11, 6, 5, 1, 5], [2^(1/2) < v, u = -v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1
/2) < z], [regular_chain, [[3, 3], [-3, -3], [1/2, 1/2], [-3, -3], [3, 3]]]],
[[11, 7, 11, 6, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -
x, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2,
2], [-2, -2], [-1, -1]]]], [[11, 7, 11, 6, 2], [2^(1/2) < v, And(-v < u,u < -(
v^2-1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [2, 2], [-2, -2], [0, 0]]]], [[11, 7, 11, 6, 3], [
2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-2, -2]
, [1, 1]]]], [[11, 12, 3, 8, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-3 < x,x
< -1), y = 1-x, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096]
, [-2, -2], [3, 3], [0, 0]]]], [[11, 13, 7, 9, 1], [2^(1/2) < v, And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z =
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [133259/524288,
133259/524288], [2, 2], [0, 0]]]], [[11, 19, 9, 8, 1], [2^(1/2) < v, And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = 0, z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [1566621/2097152,
1566621/2097152], [0, 0], [0, 0]]]], [[11, 21, 2, 7, 1], [2^(1/2) < v, (v^2+2)
^(1/2) < u, x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[3, 3],
[5, 5], [-17, -17], [33, 33], [0, 0]]]], [[1, 4, 8, 6, 1], [v < -2^(1/2), u =
-(v^2+1)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [1, 1], [0, 0], [0, 0]]]], [[1, 6, 3, 1, 1], [v < -2^
(1/2), u = v, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-3, -3], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[1, 6, 3, 1, 2], [v
< -2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-2, -2], [-3315889/2097152,
-207243/131072]]]], [[1, 6, 3, 1, 3], [v < -2^(1/2), u = v, And(-1 < x,x < 0),
y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3],
[-3, -3], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[1, 6, 3, 1, 4], [v < -2^(1/2),
u = v, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [-3, -3], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[1
, 6, 3, 1, 5], [v < -2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [-3, -3], [-1/2, -1/2], [-2, -2], [3, 3]]]],
[[1, 12, 2, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, y < 0, z < -(3-y)
^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [
-1, -1], [-3, -3]]]], [[1, 12, 2, 1, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x =
-3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-3, -3], [-1, -1], [-2, -2]]]], [[1, 12, 2, 1, 3], [v < -2^(1/2)
, u = (v^2-2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-3, -3], [-1, -1], [
0, 0]]]], [[1, 12, 2, 1, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -3, y < 0,
z = (3-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-\
3, -3], [-1, -1], [2, 2]]]], [[1, 12, 2, 1, 5], [v < -2^(1/2), u = (v^2-2)^(1/
2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-3, -3], [-1, -1], [3, 3]]]], [[1, 13, 6, 6, 1], [v < -
2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, z =
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [
133259/262144, 533037/1048576], [0, 0]]]], [[1, 18, 1, 7, 1], [v < -2^(1/2), u
= (v^2+1)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-3, -3], [4, 4], [0, 0]]]], [[1, 19, 8, 3, 1], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+
2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-\
116841131/67108864, -116841131/67108864], [-3, -3]]]], [[1, 19, 8, 3, 2], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+
2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-\
116841131/67108864, -116841131/67108864], [-1170947/1048576, -585473/524288]]]
], [[1, 19, 8, 3, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2)
< z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [129511/262144, 518045/1048576], [-116841131/67108864, -\
116841131/67108864], [0, 0]]]], [[1, 19, 8, 3, 4], [v < -2^(1/2), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2
+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [129511/262144, 518045/1048576], [-116841131/67108864, -\
116841131/67108864], [585473/524288, 1170947/1048576]]]], [[1, 19, 8, 3, 5], [
v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [129511/262144, 518045/1048576], [-\
116841131/67108864, -116841131/67108864], [3, 3]]]], [[2, 3, 11, 4, 1], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [2, 2]
, [-2, -2], [-1, -1]]]], [[2, 3, 11, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(
1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [2, 2], [-2, -2], [0, 0]]]], [[
2, 3, 11, 4, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -x, 0 < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [2, 2], [-2, -2], [1, 1]]]], [[2, 5, 6, 7, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = u^2-3, -u^2+3 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [2, 2], [0, 0]]]], [[2, 6, 3, 2, 1], [v = -2
^(1/2), u = v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [-1/2, -1/2], [-2, -2]]]], [[2, 6, 3, 2, 2], [v = -2^(1/2), u = v, And(-\
1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [-1,
-1]]]], [[2, 6, 3, 2, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = -1-x, 
And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[2,
6, 3, 2, 4], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = -1-x, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[2, 6, 3, 2, 5], [v = -2^(1/
2), u = v, And(-1 < x,x < 0), y = -1-x, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
1/2, -1/2], [2, 2]]]], [[2, 7, 10, 8, 1], [v = -2^(1/2), And(v < u,u < -1), x
= 1, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[2, 13, 8, 7,
1], [v = -2^(1/2), And(1 < u,u < -v), x = 0, 0 < y, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [0, 0],
[1, 1], [0, 0]]]], [[2, 15, 5, 8, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [799673/1048576, 399837/524288], [-1, -1]]]], [[2, 15, 5, 8,
2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = -x, z =
0], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [799673/1048576, 
399837/524288], [0, 0]]]], [[2, 15, 5, 8, 3], [v = -2^(1/2), And(-v < u,u < 3^
(1/2)), And(-1 < x,x < u^2-3), y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [799673/1048576, 399837/524288], [1, 1]]]], [[2, 
19, 8, 4, 1], [v = -2^(1/2), 2 < u, x = 1, y = -1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [-1, -1], [-1, -1]]]], [[2,
19, 8, 4, 2], [v = -2^(1/2), 2 < u, x = 1, y = -1, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [-1, -1], [0, 0]]]], [[2, 19
, 8, 4, 3], [v = -2^(1/2), 2 < u, x = 1, y = -1, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [1, 1], [-1, -1], [1, 1]]]], [[3, 1,
10, 7, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, 0 < y
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [1, 1], [0, 0]]]], [[3, 7, 10, 6, 1], [And(-
2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1, -1], [-1, -1]]]], [[3, 7, 10, 6, 2], [And(-2^(1
/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1, -1], [0, 0]]]], [[3, 7, 10, 6, 3], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1, -1], [1, 1]]]], [[3, 9, 5, 9, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), -u^
2+v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 17, 7, 9, 1], [And(-2^(1/2) < v,
v < -1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1/2, 1/2], [8,
8], [0, 0]]]], [[4, 1, 10, 3, 1], [v = -1, u < -3^(1/2), x = u^2-2, And(-2*u^2
+2 < y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3
], [7, 7], [-23/2, -23/2], [-4, -4]]]], [[4, 1, 10, 3, 2], [v = -1, u < -3^(1/
2), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [-23/2, -23/2], [-1112183/524288,
-2224365/1048576]]]], [[4, 1, 10, 3, 3], [v = -1, u < -3^(1/2), x = u^2-2, And
(-2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [-23/2, -23/2], [0, 0]]]], [[4, 1,
10, 3, 4], [v = -1, u < -3^(1/2), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z =
(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [7, 7], [-23/2, -23/2]
, [2224365/1048576, 1112183/524288]]]], [[4, 1, 10, 3, 5], [v = -1, u < -3^(1/
2), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-3, -3], [7, 7], [-23/2, -23/2], [4, 4]]]], [[4, 7,
9, 9, 1], [v = -1, And(-1 < u,u < 0), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0]]]], [[4, 9,
5, 3, 1], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y <
0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [
-9/16, -9/16], [-3, -3]]]], [[4, 9, 5, 3, 2], [v = -1, And(0 < u,u < 1), And(-\
1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-9/16, -9/16], [-285665/262144, -1142659/
1048576]]]], [[4, 9, 5, 3, 3], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2)
, And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-9/16, -9/16], [0, 0]]]],
[[4, 9, 5, 3, 4], [v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2-x-2
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -\
5/8], [-9/16, -9/16], [1142659/1048576, 285665/262144]]]], [[4, 9, 5, 3, 5], [
v = -1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), (-x-y)
^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-5/8, -5/8], [-9/16, -9/
16], [3, 3]]]], [[4, 13, 11, 6, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 1 <
x, y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [2, 2], [-3198693/2097152, -799673/524288], [0, 0]]]], [[4, 15, 5, 2
, 1], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y = -u^2-x, z < -u], [
regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-17/2, -17/2], [-4, -4]]]], [
[4, 15, 5, 2, 2], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y = -u^2-x, z = -u]
, [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-17/2, -17/2], [-3, -3]]]]
, [[4, 15, 5, 2, 3], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y = -u^2-x, And(
-u < z,z < u)], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-17/2, -17/2
], [0, 0]]]], [[4, 15, 5, 2, 4], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y =
-u^2-x, z = u], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-17/2, -17/2
], [3, 3]]]], [[4, 15, 5, 2, 5], [v = -1, 3^(1/2) < u, And(-1 < x,x < 0), y =
-u^2-x, u < z], [regular_chain, [[-1, -1], [3, 3], [-1/2, -1/2], [-17/2, -17/2
], [4, 4]]]], [[5, 5, 10, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [1, 1], [-4, -4], [-3, -3]]]], [[5, 5,
10, 1, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+
v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[5, 5, 10, 1, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y
< -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2
, -1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-4, -4], [-1/4194304,
-1/4194304]]]], [[5, 5, 10, 1, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,
u < v), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-1696631/2097152, -1696631/2097152], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[5, 5, 10, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [1, 1], [-4, -4], [3, 3]]]], [[5,
7, 7, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0),
y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0,
0], [-3/8, -3/8], [-7/8, -7/8], [-3, -3]]]], [[5, 7, 7, 2, 2], [And(-1 < v,v <
0), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-7/8, -7/
8], [-146543/131072, -1172343/1048576]]]], [[5, 7, 7, 2, 3], [And(-1 < v,v < 0
), And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v
^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0
], [-3/8, -3/8], [-7/8, -7/8], [0, 0]]]], [[5, 7, 7, 2, 4], [And(-1 < v,v < 0)
, And(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-7/8, -7/8],
[1172343/1048576, 146543/131072]]]], [[5, 7, 7, 2, 5], [And(-1 < v,v < 0), And
(v < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/8, -3/8], [-7/8, -7/8], [3, 3
]]]], [[5, 8, 3, 6, 1], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [
-1, -1]]]], [[5, 8, 3, 6, 2], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0), y
= -x, z = 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1/2, 1
/2], [0, 0]]]], [[5, 8, 3, 6, 3], [And(-1 < v,v < 0), u = -v, And(-1 < x,x < 0
), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1
/2, 1/2], [1, 1]]]], [[5, 9, 11, 3, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^
2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-3
, -3], [-2, -2]]]], [[5, 9, 11, 3, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [2, 2], [-3
, -3], [-1, -1]]]], [[5, 9, 11, 3, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631
/2097152], [2, 2], [-3, -3], [0, 0]]]], [[5, 9, 11, 3, 4], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [-3, -3], [1, 1]]]], [[5, 9, 11, 3, 5], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (
-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [2, 2], [-3, -3], [2, 2]]]], [[6, 2, 4, 9, 1], [v = 0, u = -2^(1/2),
x = -1, 2 < y, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-1, -1], [3, 3], [0, 0]]]], [[6, 3, 9, 7, 1], [v = 0, And(-2^(1/2) <
u,u < -1), And(u^2-1 < x,x < 1), And(u^2-x-1 < y,y < 0), z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [1527887/2097152
, 1527887/2097152], [-35579/262144, -35579/262144], [0, 0]]]], [[6, 8, 5, 7, 1
], [v = 0, u = 1, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[0, 0],
[1, 1], [-1/2, -1/2], [2, 2], [0, 0]]]], [[6, 9, 11, 4, 1], [v = 0, And(1 < u,
u < 2^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[0, 0], [1265743/1048576
, 1265743/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[6, 9, 11, 4, 2], [v = 0,
And(1 < u,u < 2^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [2, 2], [-2, -2], [0, 0]]]], [[6, 9, 11, 4,
3], [v = 0, And(1 < u,u < 2^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[0
, 0], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[7, 4,
3, 7, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), -x < y, z
= z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-3/2,
-3/2], [3, 3], [0, 0]]]], [[7, 5, 9, 8, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1
/2) < u,u < -v), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [1/2, 1/2], [0, 0], [0, 0]]]], [[8, 1, 2
, 4, 1], [v = 1, u < -3^(1/2), x = -u^2, y = u^2, z < 0], [regular_chain, [[1,
1], [-3, -3], [-9, -9], [9, 9], [-1, -1]]]], [[8, 1, 2, 4, 2], [v = 1, u < -3^
(1/2), x = -u^2, y = u^2, z = 0], [regular_chain, [[1, 1], [-3, -3], [-9, -9],
[9, 9], [0, 0]]]], [[8, 1, 2, 4, 3], [v = 1, u < -3^(1/2), x = -u^2, y = u^2,
0 < z], [regular_chain, [[1, 1], [-3, -3], [-9, -9], [9, 9], [1, 1]]]], [[8, 2
, 4, 5, 1], [v = 1, u = -3^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1/2,
1/2], [-2, -2]]]], [[8, 2, 4, 5, 2], [v = 1, u = -3^(1/2), x = -1, And(0 < y,y
< 1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[8, 2
, 4, 5, 3], [v = 1, u = -3^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 2, 4, 5, 4], [v = 1, u = -3^(1
/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[8, 2, 4, 5, 5], [v = 1, u = -3^(1/2), x = -1, And(0 < y,y <
1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [1/2, 1/2], [2, 2]]]], [[8, 8, 5, 5, 1], [v = 1, u = 0, 
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1,
1], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8, 8, 5, 5, 2], [v = 1, u
= 0, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[8, 8, 5, 5, 3],
[v = 1, u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [1/4, 1/4], [0,
0]]]], [[8, 8, 5, 5, 4], [v = 1, u = 0, And(-1 < x,x < 0), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [1/4, 1/4],
[1/2, 1/2]]]], [[8, 8, 5, 5, 5], [v = 1, u = 0, And(-1 < x,x < 0), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-1/2, -1/2], [1/4,
1/4], [2, 2]]]], [[8, 9, 10, 7, 1], [v = 1, And(0 < u,u < 1), x = 1, And(-1 <
y,y < 0), z = z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-1/2, -1/2], [
0, 0]]]], [[8, 14, 6, 1, 1], [v = 1, u = 3^(1/2), x = 0, y < -3, z < -(-y)^(1/
2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0], [-4, -\
4], [-3, -3]]]], [[8, 14, 6, 1, 2], [v = 1, u = 3^(1/2), x = 0, y < -3, z = -(
-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [0, 0],
[-4, -4], [-2, -2]]]], [[8, 14, 6, 1, 3], [v = 1, u = 3^(1/2), x = 0, y < -3,
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [0, 0], [-4, -4], [0, 0]]]], [[8, 14, 6, 1, 4], [v = 1, u =
3^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [0, 0], [-4, -4], [2, 2]]]], [[8, 14, 6, 1, 5], [v =
1, u = 3^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [0, 0], [-4, -4], [3, 3]]]], [[8, 15, 10, 2,
1], [v = 1, 3^(1/2) < u, x = u^2-2, y = -2*u^2+2, z < -u], [regular_chain, [[1
, 1], [3, 3], [7, 7], [-16, -16], [-4, -4]]]], [[8, 15, 10, 2, 2], [v = 1, 3^(
1/2) < u, x = u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[1, 1], [3, 3], [
7, 7], [-16, -16], [-3, -3]]]], [[8, 15, 10, 2, 3], [v = 1, 3^(1/2) < u, x = u
^2-2, y = -2*u^2+2, And(-u < z,z < u)], [regular_chain, [[1, 1], [3, 3], [7, 7
], [-16, -16], [0, 0]]]], [[8, 15, 10, 2, 4], [v = 1, 3^(1/2) < u, x = u^2-2,
y = -2*u^2+2, z = u], [regular_chain, [[1, 1], [3, 3], [7, 7], [-16, -16], [3,
3]]]], [[8, 15, 10, 2, 5], [v = 1, 3^(1/2) < u, x = u^2-2, y = -2*u^2+2, u < z
], [regular_chain, [[1, 1], [3, 3], [7, 7], [-16, -16], [4, 4]]]], [[9, 6, 6,
1, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = 1, y < -2, z < -(-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[9, 6, 6, 1, 2], [And(1 < v,
v < 2^(1/2)), u = -v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[9, 6, 6, 1, 3], [And(1 <
v,v < 2^(1/2)), u = -v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-3, -3], [0, 0]]]], [[9, 6, 6, 1, 4], [And(1 < v,v
< 2^(1/2)), u = -v, x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-3, -3], [741455/524288, 1482911/1048576]]]], [[9, 6, 6, 1, 5], [And(1 < v
,v < 2^(1/2)), u = -v, x = 1, y < -2, (-y-1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1
], [-3, -3], [3, 3]]]], [[9, 8, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1
)^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [-3, -\
3]]]], [[9, 8, 1, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2,
y = -x-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [-1482911/1048576, -\
741455/524288]]]], [[9, 8, 1, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/
2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3
], [1, 1], [0, 0]]]], [[9, 8, 1, 4, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^
(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [
741455/524288, 1482911/1048576]]]], [[9, 8, 1, 4, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2-1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1, 1
], [3, 3]]]], [[9, 9, 1, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [0, 0], [-4, -4], [4, 4], [-1, -1]]]], [[9, 9, 1,
6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x <
u^2-v^2-1, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [0, 0], [-4, -4], [4, 4], [0, 0]]]], [[9, 9, 1, 6, 3], [And(1 < v,v < 2^(1/2
)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, 0 < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [4, 4],
[1, 1]]]], [[9, 10, 4, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x =
-1, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[9, 10, 4, 4,
2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [0, 0], [-1, -1]]]], [[9, 10, 4, 4, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[0, 0], [0, 0]]]], [[9, 10, 4, 4, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/
2), x = -1, y = 0, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [354469/524288, 708939/1048576], [-1, -1], [0, 0], [1, 1]]]], [[9, 10, 4, 4,
5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[9, 16, 5, 6, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/
2], [1/2, 1/2], [-1, -1]]]], [[9, 16, 5, 6, 2], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [1/2
, 1/2], [0, 0]]]], [[9, 16, 5, 6, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [1/2, 1/2], [
1, 1]]]], [[9, 17, 9, 7, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1
< x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152],
[363259/262144, 363259/262144], [0, 0]]]], [[10, 5, 1, 7, 1], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x < -u^2+1, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [5740687/2097152, 5740687/2097152], [-2, -2]]]], [
[10, 5, 1, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(u^2-
x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [5740687/2097152, 
5740687/2097152], [-1074731/2097152, -537365/1048576]]]], [[10, 5, 1, 7, 3], [
v = 2^(1/2), And(-3^(1/2) < u,u < -v), x < -u^2+1, And(u^2-x-3 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [5740687/
2097152, 5740687/2097152], [0, 0]]]], [[10, 5, 1, 7, 4], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), x < -u^2+1, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-3, -3], [5740687/2097152, 5740687/2097152], [537365/1048576, 
268683/524288]]]], [[10, 5, 1, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
x < -u^2+1, And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-3, -3
], [5740687/2097152, 5740687/2097152], [2, 2]]]], [[10, 6, 4, 5, 1], [v = 2^(1
/2), u = -v, x = 0, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [0, 0], [1, 1], [0, 0]]]], [[10,
12, 4, 6, 1], [v = 2^(1/2), u = 1, x = -1, y = 1, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1, 1], [-1, -1]]]], [[10,
12, 4, 6, 2], [v = 2^(1/2), u = 1, x = -1, y = 1, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1, 1], [0, 0]]]], [[10, 12
, 4, 6, 3], [v = 2^(1/2), u = 1, x = -1, y = 1, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1, 1], [1, 1]]]], [[10, 13
, 10, 1, 1], [v = 2^(1/2), And(1 < u,u < v), x = 1, y < u^2-4, z < -(-y-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[10, 13, 10, 1, 2], [v = 2^(
1/2), And(1 < u,u < v), x = 1, y < u^2-4, z = -(-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1, 1],
[-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[10, 13, 10, 1, 3], [v = 2
^(1/2), And(1 < u,u < v), x = 1, y < u^2-4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[10, 13, 10,
1, 4], [v = 2^(1/2), And(1 < u,u < v), x = 1, y < u^2-4, z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[10, 13, 10,
1, 5], [v = 2^(1/2), And(1 < u,u < v), x = 1, y < u^2-4, (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1, 1], [-4, -4], [3, 3]]]], [[11, 2, 8, 3, 1], [2^(1/2) < v, u = -(
v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-5/2, -5/2], [-3, -3]]]]
, [[11, 2, 8, 3, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -\
1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [1, 1], [-5/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[11, 2
, 8, 3, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-
(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288
, -3477733/1048576], [1, 1], [-5/2, -5/2], [0, 0]]]], [[11, 2, 8, 3, 4], [2^(1
/2) < v, u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-5/2, -5
/2], [642119/524288, 1284239/1048576]]]], [[11, 2, 8, 3, 5], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [1, 1], [-5/2, -5/2], [3, 3]]]],
[[11, 4, 1, 4, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = -x-2, z < -2^
(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3],
[1, 1], [-3, -3]]]], [[11, 4, 1, 4, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x <
-2, y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[11,
4, 1, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = -x-2, And(-2^(1/2)
< z,z < 2^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[-3, -3], [1, 1], [0, 0]]]], [[11, 4, 1, 4, 4], [2^(1/2) < v, u = -(v^2+1)^(1/
2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576
, -207243/65536], [-3, -3], [1, 1], [741455/524288, 1482911/1048576]]]], [[11,
4, 1, 4, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z],
[regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-3, -3], [1, 1],
[3, 3]]]], [[11, 10, 3, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x
< -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[11,
10, 3, 3, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), And(-x-3 <
y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]
], [[11, 10, 3, 3, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1), 
And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [-5548543/2097152, -2774271/1048576], [-2, -2], [-1/2, -1/2], [0, 0]]
]], [[11, 10, 3, 3, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,x < -1),
And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[11, 10, 3, 3, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-3 < x,
x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[11, 
11, 7, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 <
x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-1/2,
-1/2], [-1, -1]]]], [[11, 11, 7, 4, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[3, 3], [
0, 0], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 11, 7, 4, 3], [2^(1/2) < v,
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 15,
10, 6, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = 1, y = -1, z < 0],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [1, 1], [-1, -1],
[-1, -1]]]], [[11, 15, 10, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [1, 1], [-1, -1], [0, 0]]]], [[11, 15, 10, 6, 3], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [1, 1], [-1, -1], [1, 1]]]], [[11, 17, 7, 3
, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-\
195745/262144, -195745/262144], [-3, -3]]]], [[11, 17, 7, 3, 2], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [-195745/262144, -195745
/262144], [-1048577/1048576, -1]]]], [[11, 17, 7, 3, 3], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v
^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-195745/
262144, -195745/262144], [0, 0]]]], [[11, 17, 7, 3, 4], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v
^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-195745/262144, -195745/262144
], [1, 1048577/1048576]]]], [[11, 17, 7, 3, 5], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1),
(-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-195745/262144, -195745/262144], [3, 3]]]
], [[1, 1, 5, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-\
1/2, -1/2], [-33/2, -33/2], [-6, -6]]]], [[1, 1, 5, 2, 2], [v < -2^(1/2), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-33/2, -33/2], [-2161695/
524288, -4323389/1048576]]]], [[1, 1, 5, 2, 3], [v < -2^(1/2), u < -(v^2+2)^(1
/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-
v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-33/2, -33
/2], [0, 0]]]], [[1, 1, 5, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-5, -5], [-1/2, -1/2], [-33/2, -33/2], [4323389/1048576, 2161695/524288]]]],
[[1, 1, 5, 2, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u
^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1/2
, -1/2], [-33/2, -33/2], [6, 6]]]], [[1, 3, 2, 5, 1], [v < -2^(1/2), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2
-2*v^2), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-2615197/1048576, -653799/262144], [5748437/2097152, 5748437/
2097152], [0, 0]]]], [[1, 9, 2, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [0, 0], [-3, -3]]]], [[1, 9, 2, 2, 2], [v < -2^(1/2
), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [0, 0], [-3321417/2097152, -\
415177/262144]]]], [[1, 9, 2, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v
^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [0, 0], [0, 0]]]], [[1, 9, 2, 2,
4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1,
y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608,
-22960369/8388608], [-657547/262144, -5260375/2097152], [0, 0], [415177/262144
, 1660709/1048576]]]], [[1, 9, 2, 2, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [0, 0], [3, 3]]]], [[1, 10, 8, 5, 1], [v < -2^(1/2)
, u = -(v^2-2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[
1, 14, 4, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y = -1, z < -2^(1/2
)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [-1
, -1], [-3, -3]]]], [[1, 14, 4, 2, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -\
1, y = -1, z = -2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[1, 14,
4, 2, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1,
-1], [-1, -1], [0, 0]]]], [[1, 14, 4, 2, 4], [v < -2^(1/2), u = (v^2-1)^(1/2),
x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[1
, 14, 4, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y = -1, 2^(1/2) < z]
, [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [-1,
-1], [3, 3]]]], [[1, 16, 3, 3, 1], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), 
And(-1-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-\
1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[1, 16, 3, 3, 2], [v < -2^(1/2), u = -
v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/
4194304]]]], [[1, 16, 3, 3, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(
-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
3, -3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[1,
16, 3, 3, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [-1/4, -1/4]
, [908093/1048576, 454047/524288]]]], [[1, 16, 3, 3, 5], [v < -2^(1/2), u = -v
, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [
[-3, -3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[1, 21, 11, 5, 1], [
v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-x < y,y < u^2-v^2-x-1), z
= z], [regular_chain, [[-3, -3], [5, 5], [16, 16], [-17/2, -17/2], [0, 0]]]],
[[2, 2, 6, 6, 1], [v = -2^(1/2), u = -2, x = 0, y = 1, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [1, 1], [0, 0]]]], [[2,
9, 6, 2, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, y = u^2-3, z < -(-u^2+3)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0
, 0], [-11/4, -11/4], [-3, -3]]]], [[2, 9, 6, 2, 2], [v = -2^(1/2), And(-1 < u
,u < 0), x = 0, y = u^2-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-11/4, -11/4], [-1738867/
1048576, -3477733/2097152]]]], [[2, 9, 6, 2, 3], [v = -2^(1/2), And(-1 < u,u <
0), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-11
/4, -11/4], [-1/4194304, -1/4194304]]]], [[2, 9, 6, 2, 4], [v = -2^(1/2), And(
-1 < u,u < 0), x = 0, y = u^2-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-11/4, -11/4], [
869433/524288, 1738867/1048576]]]], [[2, 9, 6, 2, 5], [v = -2^(1/2), And(-1 <
u,u < 0), x = 0, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-11/4, -11/4], [3, 3]]]], [[2
, 11, 3, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(-x
< y,y < -u^2-x+1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1/2, 1/2], [-15/8, -15/8], [9/4, 9/4], [0, 0]]]], [[2, 17, 3, 4, 1], [v = -
2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = 0, z < -(-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [-3, -3]]]], [
[2, 17, 3, 4, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1
), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [
0, 0], [-1383575/1048576, -691787/524288]]]], [[2, 17, 3, 4, 3], [v = -2^(1/2)
, And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [0, 0
]]]], [[2, 17, 3, 4, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x
,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [0, 0], [691787/524288, 1383575/1048576]]]], [[2, 17, 3, 4, 5], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [3, 3]]]], [[2
, 18, 9, 7, 1], [v = -2^(1/2), u = 2, 1 < x, And(1-x < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-1/2, -1/
2], [0, 0]]]], [[3, 3, 4, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[3, 3, 4, 5, 2], [And(-
2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0
< y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [1/2, 1/2], [-\
1482911/2097152, -741455/1048576]]]], [[3, 3, 4, 5, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), And
(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [1/2, 1/2]
, [0, 0]]]], [[3, 3, 4, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[3
, 3, 4, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[3, 5, 3, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [646847/524288, 646847/
524288], [-1, -1]]]], [[3, 5, 3, 8, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1
)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-646847/524288, -646847/524288], [646847/524288, 646847/524288], [0, 0]]]], [
[3, 5, 3, 8, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And
(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [646847/524288, 646847/524288], [1, 1]]]], [[3, 11, 3, 5, 1],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x
< -1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [448653/1048576, 448653/1048576], [-2, -2]
]]], [[3, 11, 3, 5, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [448653/1048576, 448653
/1048576], [-1941851/2097152, -7767403/8388608]]]], [[3, 11, 3, 5, 3], [And(-2
^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1),
And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [448653/1048576, 448653/
1048576], [-3/16777216, -3/16777216]]]], [[3, 11, 3, 5, 4], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y
< -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [448653/1048576, 448653/1048576], [970925/1048576, 485463/
524288]]]], [[3, 11, 3, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-5390713/4194304, -5390713/4194304], [448653/1048576, 
448653/1048576], [2, 2]]]], [[3, 13, 4, 4, 1], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [0,
0], [-2, -2]]]], [[3, 13, 4, 4, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [0, 0], [-1, -\
1]]]], [[3, 13, 4, 4, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [0, 0], [0, 0]
]]], [[3, 13, 4, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [0, 0], [1, 1]]]], [[3
, 13, 4, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1, -1], [0, 0], [2, 2]]]], [[3, 14, 2, 3,
1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z
< -(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-2, -2], [1, 1], [-2, -2]]]], [[3, 14, 2, 3,
2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z
= -(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-2, -2], [1, 1], [-1, -1]]]], [[3, 14, 2, 3,
3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), 
And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1], [0, 0]]]
], [[3, 14, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, 
And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1], [1, 1]]]
], [[3, 14, 2, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, 
And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [1, 1], [2, 2]]]
], [[3, 16, 1, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y
= -x-3, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [-4, -4], [1, 1], [-3, -3]]]], [[3, 16, 1, 4,
2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = -x-3, z = -3^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-4, -4], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [
[3, 16, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = -x
-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1], [-1/
4194304, -1/4194304]]]], [[3, 16, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1], [
908093/524288, 1816187/1048576]]]], [[3, 16, 1, 4, 5], [And(-2^(1/2) < v,v < -\
1), u = (v^2+2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4],
[1, 1], [3, 3]]]], [[4, 4, 2, 5, 1], [v = -1, u = -2^(1/2), x = -2, 2 < y, z =
z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [
3, 3], [0, 0]]]], [[4, 6, 1, 6, 1], [v = -1, u = -1, x < -1, y = -x, z < 0], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [2, 2], [-1, -1]]]], [[4, 6, 1,
6, 2], [v = -1, u = -1, x < -1, y = -x, z = 0], [regular_chain, [[-1, -1], [-1
, -1], [-2, -2], [2, 2], [0, 0]]]], [[4, 6, 1, 6, 3], [v = -1, u = -1, x < -1,
y = -x, 0 < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [2, 2], [1, 1]]
]], [[4, 10, 2, 4, 1], [v = -1, u = 1, x = -1, y = 1, z < 0], [regular_chain,
[[-1, -1], [1, 1], [-1, -1], [1, 1], [-1, -1]]]], [[4, 10, 2, 4, 2], [v = -1,
u = 1, x = -1, y = 1, z = 0], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1,
1], [0, 0]]]], [[4, 10, 2, 4, 3], [v = -1, u = 1, x = -1, y = 1, 0 < z], [
regular_chain, [[-1, -1], [1, 1], [-1, -1], [1, 1], [1, 1]]]], [[4, 12, 3, 7,
1], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [3, 3], [0, 0]]]],
[[5, 2, 5, 9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), 1
-x < y, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [3,
3], [0, 0]]]], [[5, 4, 4, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -\
1, y = -1, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[5, 4, 4, 2, 2], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [
[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[5, 4, 4, 2, 3], [And(-1 < v,v < 0), u =
-(v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain
, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1, -1], [0, 0
]]]], [[5, 4, 4, 2, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y = -1
, z = 2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[5, 4, 4,
2, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-\
1, -1], [3, 3]]]], [[5, 11, 6, 6, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = 0, y = u^2-v^2-1, z = z], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [0, 0], [243021/524288, 486043/1048576],
[0, 0]]]], [[5, 13, 4, 2, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y
= -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-\
1, -1], [-35/4, -35/4], [-5, -5]]]], [[5, 13, 4, 2, 2], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [3, 3], [-1, -1], [-35/4, -35/4], [-1637089/524288, -3274177/
1048576]]]], [[5, 13, 4, 2, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1,
y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-35/4, -35/4], [0, 0]]]], [[5
, 13, 4, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-35/4,
-35/4], [3274177/1048576, 1637089/524288]]]], [[5, 13, 4, 2, 5], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-35/4, -35/4], [5, 5]]]], [[6
, 5, 7, 1, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y < -u^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-2,
-2], [-3, -3]]]], [[6, 5, 7, 1, 2], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x
< 0), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2],
[-3/8, -3/8], [-2, -2], [-3231929/2097152, -403991/262144]]]], [[6, 5, 7, 1, 3
], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y < -u^2-x-1, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3
/8], [-2, -2], [0, 0]]]], [[6, 5, 7, 1, 4], [v = 0, And(-1 < u,u < 0), And(u^2
-1 < x,x < 0), y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2
, -1/2], [-3/8, -3/8], [-2, -2], [403991/262144, 1615965/1048576]]]], [[6, 5,
7, 1, 5], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y < -u^2-x-1, (-x-y
)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-2, -2], [
3, 3]]]], [[6, 7, 7, 9, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), -x
< y, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [2, 2], [0, 0]
]]], [[6, 11, 4, 9, 1], [v = 0, 2^(1/2) < u, x = -1, u^2 < y, z = z], [
regular_chain, [[0, 0], [3, 3], [-1, -1], [10, 10], [0, 0]]]], [[7, 1, 11, 3,
1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [
-111/8, -111/8], [-4, -4]]]], [[7, 1, 11, 3, 2], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-111/8, -111/8], [-1157597/
524288, -2315193/1048576]]]], [[7, 1, 11, 3, 3], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-111/8, -111
/8], [0, 0]]]], [[7, 1, 11, 3, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-
v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [-3, -3], [9, 9], [-111/8, -111/8], [2315193/1048576, 1157597/
524288]]]], [[7, 1, 11, 3, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-\
1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-3, -3], [9, 9], [-111/8, -111/8], [4, 4]]]], [[7, 7, 8, 7, 1], [And(0
< v,v < 1), And(-v < u,u < v), x = 0, 0 < y, z = z], [regular_chain, [[1/2, 1/
2], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[7, 9, 9, 8, 1], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = 0, z = z], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [0, 0], [0, 0]]]]
, [[7, 10, 9, 5, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, And(-x < y,y
< 0), z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [
2, 2], [-1, -1], [0, 0]]]], [[7, 12, 6, 4, 1], [And(0 < v,v < 1), u = (v^2+2)^
(1/2), x = 0, y = 0, z < 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0],
[0, 0], [-1, -1]]]], [[7, 12, 6, 4, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
x = 0, y = 0, z = 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [0, 0],
[0, 0]]]], [[7, 12, 6, 4, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, y =
0, 0 < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [0, 0], [1, 1]]]],
[[8, 5, 1, 2, 1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = 0, z < -(-x)
^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [0, 0], [-3, -3]]]], [[8, 5, 1, 2, 2], [v = 1, And(-2^(1/2) < u,u < -1), x
< -u^2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[8, 5, 1, 2, 3], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[8, 5, 1, 2,
4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0]
, [908093/524288, 1816187/1048576]]]], [[8, 5, 1, 2, 5], [v = 1, And(-2^(1/2)
< u,u < -1), x < -u^2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [3, 3]]]], [[8, 7, 1, 6,
1], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = -u^2-x, z < u], [regular_chain,
[[1, 1], [-1/2, -1/2], [-3, -3], [11/4, 11/4], [-2, -2]]]], [[8, 7, 1, 6, 2],
[v = 1, And(-1 < u,u < 0), x < u^2-2, y = -u^2-x, z = u], [regular_chain, [[1,
1], [-1/2, -1/2], [-3, -3], [11/4, 11/4], [-1/2, -1/2]]]], [[8, 7, 1, 6, 3], [
v = 1, And(-1 < u,u < 0), x < u^2-2, y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [11/4, 11/4], [0, 0]]]], [[8,
7, 1, 6, 4], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [11/4, 11/4], [1/2, 1/2]]]], [
[8, 7, 1, 6, 5], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [11/4, 11/4], [2, 2]]]], [[8,
11, 2, 4, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 2*u^2-2, z < -(-u^
2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1527887/1048576, -763943/524288], [958621/1048576, 479311/524288], [-2, -2]]]]
, [[8, 11, 2, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 2*u^2-2, z
= -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1527887/1048576, -763943/524288], [958621/1048576, 479311/524288], [-\
772605/1048576, -1545209/2097152]]]], [[8, 11, 2, 4, 3], [v = 1, And(1 < u,u <
2^(1/2)), x = -u^2, y = 2*u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/1048576
, -763943/524288], [958621/1048576, 479311/524288], [-1/4194304, -1/4194304]]]
], [[8, 11, 2, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 2*u^2-2, z
= (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576]
, [-1527887/1048576, -763943/524288], [958621/1048576, 479311/524288], [193151
/262144, 772605/1048576]]]], [[8, 11, 2, 4, 5], [v = 1, And(1 < u,u < 2^(1/2))
, x = -u^2, y = 2*u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [958621
/1048576, 479311/524288], [2, 2]]]], [[8, 13, 1, 3, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/
1048576, 799673/1048576], [-3, -3]]]], [[8, 13, 1, 3, 2], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/
1048576, 799673/1048576], [-3773343/2097152, -7546685/4194304]]]], [[8, 13, 1,
3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(0 < y,y < -u^2-x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-4, -4], [799673/1048576, 799673/1048576], [-1/
8388608, -1/8388608]]]], [[8, 13, 1, 3, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2
)), x < -u^2, And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1
], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/1048576, 799673/
1048576], [1886671/1048576, 117917/65536]]]], [[8, 13, 1, 3, 5], [v = 1, And(2
^(1/2) < u,u < 3^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/
1048576, 799673/1048576], [3, 3]]]], [[9, 3, 3, 1, 1], [And(1 < v,v < 2^(1/2))
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-2, -2], [-3, -3]]]], [[9, 3, 3, 1, 2], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u
^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-2, -2], [-16221399/8388608, -8110699/4194304]]]], [[9, 3, 3, 1, 3]
, [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^
2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-2, -2], [-3/8388608
, -3/8388608]]]], [[9, 3, 3, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-2, -2], [
1013837/524288, 2027675/1048576]]]], [[9, 3, 3, 1, 5], [And(1 < v,v < 2^(1/2))
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-2, -2], [3, 3]]]], [[9, 5, 1, 7, 1], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [5733117/2097152, 5733117/2097152], [-2,
-2]]]], [[9, 5, 1, 7, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [5733117/2097152, 5733117/2097152], [-270523/
524288, -1082091/2097152]]]], [[9, 5, 1, 7, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [5733117/2097152, 
5733117/2097152], [-1/4194304, -1/4194304]]]], [[9, 5, 1, 7, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [5733117/2097152, 
5733117/2097152], [541045/1048576, 270523/524288]]]], [[9, 5, 1, 7, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-
x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [5733117/2097152, 
5733117/2097152], [2, 2]]]], [[9, 11, 10, 7, 1], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [
-1/2, -1/2], [0, 0]]]], [[9, 13, 11, 2, 1], [And(1 < v,v < 2^(1/2)), And(v < u
,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [-908991/262144, -3635963/1048576], [-3, -3]]]], [[9, 13, 11
, 2, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-908991/262144, -\
3635963/1048576], [-1270261/1048576, -317565/262144]]]], [[9, 13, 11, 2, 3], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
908991/262144, -3635963/1048576], [0, 0]]]], [[9, 13, 11, 2, 4], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-908991/262144, -3635963/1048576], [317565
/262144, 1270261/1048576]]]], [[9, 13, 11, 2, 5], [And(1 < v,v < 2^(1/2)), And
(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [-908991/262144, -3635963/1048576], [3, 3]]]], [[10, 2, 3, 7
, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [5/2, 5/
2], [0, 0]]]], [[10, 3, 11, 6, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 <
x, y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [2, 2], [-1591685/1048576, -3183369/
2097152], [0, 0]]]], [[10, 8, 1, 4, 1], [v = 2^(1/2), u = -1, x < -2, y = -x-2
, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-3, -3], [1, 1], [-3, -3]]]], [[10, 8, 1, 4, 2], [v = 2^(1/2), u = -1, x < -2
, y = -x-2, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[10, 8, 1,
4, 3], [v = 2^(1/2), u = -1, x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [1, 1],
[0, 0]]]], [[10, 8, 1, 4, 4], [v = 2^(1/2), u = -1, x < -2, y = -x-2, z = 2^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [
1, 1], [741455/524288, 1482911/1048576]]]], [[10, 8, 1, 4, 5], [v = 2^(1/2), u
= -1, x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [-3, -3], [1, 1], [3, 3]]]], [[10, 9, 11, 3, 1], [v = 2^(
1/2), And(-1 < u,u < 0), 1 < x, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-27/8
, -27/8], [-3, -3]]]], [[10, 9, 11, 3, 2], [v = 2^(1/2), And(-1 < u,u < 0), 1
< x, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-27/8, -27/8], [-1229565/
1048576, -307391/262144]]]], [[10, 9, 11, 3, 3], [v = 2^(1/2), And(-1 < u,u <
0), 1 < x, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-27/
8, -27/8], [0, 0]]]], [[10, 9, 11, 3, 4], [v = 2^(1/2), And(-1 < u,u < 0), 1 <
x, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1/2, -1/2], [2, 2], [-27/8, -27/8], [307391/262144, 
1229565/1048576]]]], [[10, 9, 11, 3, 5], [v = 2^(1/2), And(-1 < u,u < 0), 1 <
x, And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [-1/2, -1/2], [2, 2], [-27/8, -27/8], [3, 3]]]], [[10, 15,
9, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -x, z <
0], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 15, 9, 6, 2], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[10, 15, 9, 6, 3], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [
[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/
2], [-1/2, -1/2], [1, 1]]]], [[10, 17, 8, 3, 1], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [-28908433/16777216, -28908433/
16777216], [-3, -3]]]], [[10, 17, 8, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u <
2), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [-28908433/16777216, -28908433/
16777216], [-4563/4096, -1168127/1048576]]]], [[10, 17, 8, 3, 3], [v = 2^(1/2)
, And(3^(1/2) < u,u < 2), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-
y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/
262144], [-28908433/16777216, -28908433/16777216], [0, 0]]]], [[10, 17, 8, 3,
4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(-2*u^2+4 < y,y < -u^2
+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-\
28908433/16777216, -28908433/16777216], [1168127/1048576, 4563/4096]]]], [[10,
17, 8, 3, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(-2*u^2+4 <
y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144]
, [-28908433/16777216, -28908433/16777216], [3, 3]]]], [[10, 18, 6, 4, 1], [v
= 2^(1/2), u = 2, x = 0, y = 0, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [0, 0], [0, 0], [-1, -1]]]], [[10, 18, 6, 4, 2], [v
= 2^(1/2), u = 2, x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [0, 0], [0, 0], [0, 0]]]], [[10, 18, 6, 4, 3], [v =
2^(1/2), u = 2, x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911
/1048576], [2, 2], [0, 0], [0, 0], [1, 1]]]], [[11, 1, 3, 5, 1], [2^(1/2) < v,
u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [9/2, 9/2], [-4, -4]]]],
[[11, 1, 3, 5, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1
), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [
-9, -9], [9/2, 9/2], [-1112183/524288, -2224365/1048576]]]], [[11, 1, 3, 5, 3]
, [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-5, -\
5], [-9, -9], [9/2, 9/2], [0, 0]]]], [[11, 1, 3, 5, 4], [2^(1/2) < v, u < -(v^
2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[3, 3], [-5, -5], [-9, -9], [9/2, 9/2], [2224365/1048576, 
1112183/524288]]]], [[11, 1, 3, 5, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-
u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[3, 3], [-5, -5], [-9, -9], [9/2, 9/2], [4, 4]]]], [[11, 7, 1, 4, 1], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [-3, -3], [1565147/1048576, 391287/262144], [-3, -3]]]], [[11, 7, 1, 4, 2],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549
/2097152], [-3, -3], [1565147/1048576, 391287/262144], [-1287385/1048576, -\
160923/131072]]]], [[11, 7, 1, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1
/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^
2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
-3, -3], [1565147/1048576, 391287/262144], [0, 0]]]], [[11, 7, 1, 4, 4], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (
-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [1565147/1048576, 391287/262144], [160923/131072, 1287385/
1048576]]]], [[11, 7, 1, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-3, -3], [1565147/1048576, 391287/
262144], [3, 3]]]], [[11, 8, 9, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x
, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [2, 2], [-5, -5], [-3, -3]]]], [[11, 8, 9, 1, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[11, 8, 9, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(
1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [-5, -5
], [-1/4194304, -1/4194304]]]], [[11, 8, 9, 1, 4], [2^(1/2) < v, u = -(v^2-1)^
(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [2, 2], [-5, -5], [908093/524288, 1816187/1048576
]]]], [[11, 8, 9, 1, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, y < -x-2, (-
x-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304
], [2, 2], [-5, -5], [3, 3]]]], [[11, 12, 4, 7, 1], [2^(1/2) < v, u = (v^2-2)^
(1/2), x = -1, And(1 < y,y < 2), z = z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-1, -1], [3/2, 3/2], [0, 0]]]], [[11, 14, 1, 6, 1], [2^
(1/2) < v, u = (v^2-1)^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[11, 14, 1,
6, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y = -x, z = 0], [regular_chain
, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [3, 3], [0, 0]]]], [[11
, 14, 1, 6, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [3, 3], [1
, 1]]]], [[11, 20, 1, 5, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, And(-x-3
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[11, 20, 1, 5, 2], [2^(1/
2) < v, u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [5/2, 5/2
], [-1284239/1048576, -642119/524288]]]], [[11, 20, 1, 5, 3], [2^(1/2) < v, u
= (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4
], [5/2, 5/2], [0, 0]]]], [[11, 20, 1, 5, 4], [2^(1/2) < v, u = (v^2+2)^(1/2),
x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-4, -4], [5/2, 5/2], [642119/524288, 
1284239/1048576]]]], [[11, 20, 1, 5, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x <
-3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733
/1048576, 1738867/524288], [-4, -4], [5/2, 5/2], [3, 3]]]], [[11, 21, 9, 4, 1]
, [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, z < 0], [
regular_chain, [[3, 3], [5, 5], [8, 8], [-8, -8], [-1, -1]]]], [[11, 21, 9, 4,
2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, z = 0],
[regular_chain, [[3, 3], [5, 5], [8, 8], [-8, -8], [0, 0]]]], [[11, 21, 9, 4,
3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, 0 < z],
[regular_chain, [[3, 3], [5, 5], [8, 8], [-8, -8], [1, 1]]]], [[1, 3, 11, 4, 1
], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z
< 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2],
[-2, -2], [-1, -1]]]], [[1, 3, 11, 4, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [-2, -2], [0, 0]]]], [[1, 3, 11, 4
, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x
, 0 < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2,
2], [-2, -2], [1, 1]]]], [[1, 5, 10, 7, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 11, 8, 4
, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y = -1,
z < 0], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-1, -1], [-1, -1]]]], [[1,
11, 8, 4, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
y = -1, z = 0], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-1, -1], [0, 0]]]]
, [[1, 11, 8, 4, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-1, -1], [1
, 1]]]], [[1, 13, 5, 7, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), And(-1 < x,x < 0), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [395403/524288, 
395403/524288], [0, 0]]]], [[1, 17, 6, 1, 1], [v < -2^(1/2), And(-v < u,u < (v
^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-2, -2], [-3, -3]]]], [[1, 17, 6, 1, 2], [v < -2^(1/2), And
(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+
1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193
/1048576, -1062385/2097152], [-2, -2], [-3320253/2097152, -830063/524288]]]],
[[1, 17, 6, 1, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1
, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-2, -2], [0, 0]]]], [[1, 17, 6, 1, 4], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^
(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/
1048576, -1062385/2097152], [-2, -2], [830063/524288, 1660127/1048576]]]], [[1
, 17, 6, 1, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y
< -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2], [3, 3]]
]], [[1, 19, 5, 4, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 19,
5, 4, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,
x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]]
, [[1, 19, 5, 4, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [0, 0], [0, 0]]
]], [[1, 19, 5, 4, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 
46341/65536]]]], [[1, 19, 5, 4, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[
2, 3, 6, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y <
u^2-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339
/2097152, -3913339/2097152], [0, 0], [505467/2097152, 505467/2097152], [0, 0]]
]], [[2, 5, 5, 8, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u
^2-3), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [
799673/1048576, 799673/1048576], [-1, -1]]]], [[2, 5, 5, 8, 2], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = -x, z = 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [
-799673/1048576, -799673/1048576], [799673/1048576, 799673/1048576], [0, 0]]]]
, [[2, 5, 5, 8, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2
-3), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [
799673/1048576, 799673/1048576], [1, 1]]]], [[2, 6, 4, 3, 1], [v = -2^(1/2), u
= v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [-1/2, -\
1/2], [-2, -2]]]], [[2, 6, 4, 3, 2], [v = -2^(1/2), u = v, x = 0, And(-1 < y,y
< 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-1482911/2097152, -\
741455/1048576]]]], [[2, 6, 4, 3, 3], [v = -2^(1/2), u = v, x = 0, And(-1 < y,
y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [-1/2, -\
1/2], [0, 0]]]], [[2, 6, 4, 3, 4], [v = -2^(1/2), u = v, x = 0, And(-1 < y,y <
0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [741455/1048576, 46341
/65536]]]], [[2, 6, 4, 3, 5], [v = -2^(1/2), u = v, x = 0, And(-1 < y,y < 0),
(-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [2, 2]]]], [[2, 8, 5,
4, 1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [0
, 0], [-2, -2]]]], [[2, 8, 5, 4, 2], [v = -2^(1/2), u = -1, And(-1 < x,x < 0),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 8
, 5, 4, 3], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 8, 5, 4, 4], [v = -2^(1/2), u = -1,
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]
]]], [[2, 8, 5, 4, 5], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y = 0, (-x)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/
2, -1/2], [0, 0], [2, 2]]]], [[2, 13, 11, 6, 1], [v = -2^(1/2), And(1 < u,u <
-v), 1 < x, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[2, 13,
11, 6, 2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [-2, -2], [0, 0]]]], [[2, 13, 11, 6, 3], [v = -2^(1/2), And(
1 < u,u < -v), 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -2], [1, 1]]]
], [[2, 16, 1, 5, 1], [v = -2^(1/2), u = 3^(1/2), x < -2, And(-x-2 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[2, 16, 1, 5,
2], [v = -2^(1/2), u = 3^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[2, 16, 1, 5, 3], [v = -2^(1
/2), u = 3^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-3, -3], [2, 2], [0, 0]]]], [[2, 16, 1, 5, 4], [v =
-2^(1/2), u = 3^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3, -3], [2, 2], [1, 1]]]], [[2, 16, 1, 5, 5], [v = -2^(1/2), u = 3
^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3, -3],
[2, 2], [2, 2]]]], [[2, 19, 9, 3, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-\
3), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [7/2, 7/2], [-15/2, -15/2], [-3, -3]]]], [[2
, 19, 9, 3, 2], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3, 3], [7/2, 7/2], [-15/2, -15/2], [-2, -2]]]], [[2, 19, 9, 3, 3], [v = -2^
(1/2), 2 < u, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [7/2, 7/2], [-15/2, -15/2], [0, 0]]]], [[2, 19, 9, 3, 4], [v = -2^(1/2
), 2 < u, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-15/2
, -15/2], [2, 2]]]], [[2, 19, 9, 3, 5], [v = -2^(1/2), 2 < u, And(1 < x,x < u^
2-3), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [7/2, 7/2], [-15/2, -15/2], [3, 3]]]], [[3,
2, 4, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = 1, z <
0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1, -1], [1, 1], [-1, -1]]]], [[3, 2, 4, 6, 2], [And(-2^(1
/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1
, -1], [1, 1], [0, 0]]]], [[3, 2, 4, 6, 3], [And(-2^(1/2) < v,v < -1), u = -(v
^2+2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [1, 1], [1,
1]]]], [[3, 8, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2
, 2 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [3, 3], [0, 0]]]], [[3, 10, 1, 6,
1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [3, 3], [-1, -1]]]], [[3, 10, 1, 6, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [3, 3]
, [0, 0]]]], [[3, 10, 1, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x < -2, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [-3, -3], [3, 3], [1, 1]]]], [[3, 17, 1, 3, 1
], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y <
-u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10, -10], [763943/1048576, 763943/1048576], [-5, -\
5]]]], [[3, 17, 1, 3, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u
^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [763943/1048576, 
763943/1048576], [-3192815/1048576, -1596407/524288]]]], [[3, 17, 1, 3, 3], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^
2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [763943/1048576, 
763943/1048576], [0, 0]]]], [[3, 17, 1, 3, 4], [And(-2^(1/2) < v,v < -1), (v^2
+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [
763943/1048576, 763943/1048576], [1596407/524288, 3192815/1048576]]]], [[3, 17
, 1, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(
0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [3, 3], [-10, -10], [763943/1048576, 763943/1048576], [5,
5]]]], [[4, 1, 7, 6, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y = 0, z = z
], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [0, 0], [0, 0]]]], [[4, 7,
5, 1, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y < u^2-x-2, z < -
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-3, -3]
, [-3, -3]]]], [[4, 7, 5, 1, 2], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u
^2), y < u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-5/8, -5/8], [-3, -3], [-7985717/4194304, -15971433/8388608]]]], [[4, 7, 5, 1
, 3], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y < u^2-x-2, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/
8, -5/8], [-3, -3], [-1/16777216, -1/16777216]]]], [[4, 7, 5, 1, 4], [v = -1,
And(-1 < u,u < 0), And(-1 < x,x < -u^2), y < u^2-x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-3, -3], [1996429/
1048576, 998215/524288]]]], [[4, 7, 5, 1, 5], [v = -1, And(-1 < u,u < 0), And(
-1 < x,x < -u^2), y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
-1/2, -1/2], [-5/8, -5/8], [-3, -3], [3, 3]]]], [[4, 9, 4, 4, 1], [v = -1, And
(0 < u,u < 1), x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [1/2, 1/2],
[-1, -1], [0, 0], [-2, -2]]]], [[4, 9, 4, 4, 2], [v = -1, And(0 < u,u < 1), x
= -1, y = 0, z = -1], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0],
[-1, -1]]]], [[4, 9, 4, 4, 3], [v = -1, And(0 < u,u < 1), x = -1, y = 0, And(-\
1 < z,z < 1)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]
]]], [[4, 9, 4, 4, 4], [v = -1, And(0 < u,u < 1), x = -1, y = 0, z = 1], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [0, 0], [1, 1]]]], [[4, 9, 4,
4, 5], [v = -1, And(0 < u,u < 1), x = -1, y = 0, 1 < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [-1, -1], [0, 0], [2, 2]]]], [[4, 13, 4, 9, 1], [v = -1, And(
2^(1/2) < u,u < 3^(1/2)), x = -1, u^2-1 < y, z = z], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [-1, -1], [3, 3], [0, 0]]]], [[4, 15, 2,
3, 1], [v = -1, 3^(1/2) < u, x = -u^2, And(0 < y,y < u^2), z < -(u^2-y)^(1/2)]
, [regular_chain, [[-1, -1], [3, 3], [-9, -9], [9/2, 9/2], [-4, -4]]]], [[4, 
15, 2, 3, 2], [v = -1, 3^(1/2) < u, x = -u^2, And(0 < y,y < u^2), z = -(u^2-y)
^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [9/2, 9/2], [-1112183/
524288, -2224365/1048576]]]], [[4, 15, 2, 3, 3], [v = -1, 3^(1/2) < u, x = -u^
2, And(0 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [-9, -9], [9/2, 9/2], [0, 0]]]], [[4, 15, 2,
3, 4], [v = -1, 3^(1/2) < u, x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)],
[regular_chain, [[-1, -1], [3, 3], [-9, -9], [9/2, 9/2], [2224365/1048576, 
1112183/524288]]]], [[4, 15, 2, 3, 5], [v = -1, 3^(1/2) < u, x = -u^2, And(0 <
y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [
9/2, 9/2], [4, 4]]]], [[5, 5, 5, 2, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-159059/262144, -1272471/2097152], [-3, -\
3]]]], [[5, 5, 5, 2, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 
And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-159059/262144, -1272471/2097152], [-19417/16384,
-1242687/1048576]]]], [[5, 5, 5, 2, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-159059/
262144, -1272471/2097152], [0, 0]]]], [[5, 5, 5, 2, 4], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-159059/262144, -\
1272471/2097152], [1242687/1048576, 19417/16384]]]], [[5, 5, 5, 2, 5], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-159059/
262144, -1272471/2097152], [3, 3]]]], [[5, 7, 6, 1, 1], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-2, -2], [-3, -3]]]], [[
5, 7, 6, 1, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y < 2*u
^2-2*v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
3/4, -3/4], [-2, -2], [-1738867/1048576, -3477733/2097152]]]], [[5, 7, 6, 1, 3
], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And
(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -\
1/2], [0, 0], [-3/4, -3/4], [-2, -2], [-1/4194304, -1/4194304]]]], [[5, 7, 6,
1, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2,
z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4],
[-2, -2], [869433/524288, 1738867/1048576]]]], [[5, 7, 6, 1, 5], [And(-1 < v,v
< 0), And(v < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-2, -2], [3, 3]]]]
, [[5, 8, 5, 2, 1], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), y = -1-x, z
< -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [-\
2, -2]]]], [[5, 8, 5, 2, 2], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), y =
-1-x, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-3/2, -\
3/2], [-1, -1]]]], [[5, 8, 5, 2, 3], [And(-1 < v,v < 0), u = -v, And(0 < x,x <
1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [
1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[5, 8, 5, 2, 4], [And(-1 < v,v < 0), u =
-v, And(0 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1
/2], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[5, 8, 5, 2, 5], [And(-1 < v,v < 0)
, u = -v, And(0 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[5, 10, 6, 1, 1], [And(-1 < v
,v < 0), u = (v^2+1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [-3, -3], [-3, -3]]]],
[[5, 10, 6, 1, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, y < -2, z = -
(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072],
[0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[5, 10, 6, 1, 3],
[And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072],
[0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[5, 10, 6, 1, 4], [And(-1 < v,
v < 0), u = (v^2+1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [-3, -3], [908093/524288
, 1816187/1048576]]]], [[5, 10, 6, 1, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2
), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [0, 0], [-3, -3], [3, 3]]]], [[6, 2, 7, 8, 1], [v = 0
, u = -2^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[6, 4, 6
, 3, 1], [v = 0, u = -1, x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [0, 0], [-1, -1], [-2, -2]]]], [[6, 4, 6, 3,
2], [v = 0, u = -1, x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain
, [[0, 0], [-1, -1], [0, 0], [-1, -1], [-1, -1]]]], [[6, 4, 6, 3, 3], [v = 0,
u = -1, x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [0, 0], [-1, -1], [0, 0]]]], [[6, 4, 6, 3, 4
], [v = 0, u = -1, x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [0, 0], [-1, -1], [1, 1]]]], [[6, 4, 6, 3, 5], [v = 0, u =
-1, x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -\
1], [0, 0], [-1, -1], [2, 2]]]], [[6, 8, 7, 3, 1], [v = 0, u = 1, And(0 < x,x
< 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1
], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[6, 8, 7, 3, 2], [v = 0, u = 1, And
(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0,
0], [1, 1], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[6, 8, 7, 3, 3], [v = 0, u
= 1, And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]],
[[6, 8, 7, 3, 4], [v = 0, u = 1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-3/2, -3/2], [1, 1
]]]], [[6, 8, 7, 3, 5], [v = 0, u = 1, And(0 < x,x < 1), And(-x-2 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-3/2, -3/2],
[2, 2]]]], [[6, 10, 5, 1, 1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y < -x-3
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576
], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[6, 10, 5, 1, 2], [v = 0, u = 2^(1/2)
, And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [-1112183/524288, -\
2224365/1048576]]]], [[6, 10, 5, 1, 3], [v = 0, u = 2^(1/2), And(-1 < x,x < 0)
, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[6, 10,
5, 1, 4], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-4,
-4], [2224365/1048576, 1112183/524288]]]], [[6, 10, 5, 1, 5], [v = 0, u = 2^(1
/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[0, 0],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[7, 4, 7
, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x < y,y
< 0), z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576],
[1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[7, 6, 6, 6, 1], [And(0 < v,v < 1), u =
-v, x = 1, y = 0, z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [
0, 0], [0, 0]]]], [[7, 13, 6, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x =
0, u^2-v^2-1 < y, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [9, 9],
[0, 0]]]], [[8, 2, 1, 6, 1], [v = 1, u = -3^(1/2), x < -3, y = -x, z < 0], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [4, 4]
, [-1, -1]]]], [[8, 2, 1, 6, 2], [v = 1, u = -3^(1/2), x < -3, y = -x, z = 0],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [4, 4
], [0, 0]]]], [[8, 2, 1, 6, 3], [v = 1, u = -3^(1/2), x < -3, y = -x, 0 < z],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [4, 4
], [1, 1]]]], [[8, 7, 10, 9, 1], [v = 1, And(-1 < u,u < 0), x = 1, 0 < y, z =
z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [1, 1], [0, 0]]]], [[8, 9,
9, 8, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[8, 13, 10
, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = u^2-3, z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [-1101541/
2097152, -275385/524288], [0, 0]]]], [[8, 15, 7, 5, 1], [v = 1, 3^(1/2) < u, 
And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [3, 3],
[1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9, 5, 11, 1, 1], [And(1 < v,v < 2^(1/2)
), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-5, -5], [-3, -3]]]], [[9, 5, 11, 1, 2], [And(1 < v
,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z = -(
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [-5, -5], [-1816187/1048576, -3632373/
2097152]]]], [[9, 5, 11, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) <
u,u < -v), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[9, 5, 11, 1
, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2
+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5, -5], [908093/
524288, 1816187/1048576]]]], [[9, 5, 11, 1, 5], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-5, -5], [3, 3]]]], [[9, 7, 11, 5, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [-2322337/1048576, -2322337/
1048576], [-2, -2]]]], [[9, 7, 11, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,
u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2322337/1048576, -2322337/1048576], [-242963/
524288, -485925/1048576]]]], [[9, 7, 11, 5, 3], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3949363/4194304, -3949363/4194304], [2, 2], [-2322337/1048576, -2322337/
1048576], [0, 0]]]], [[9, 7, 11, 5, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2322337/1048576, -2322337/1048576], [485925/
1048576, 242963/524288]]]], [[9, 7, 11, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2322337/1048576, -2322337/1048576], [2, 2]]]], [[9
, 9, 2, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < -2*u^2+2*v^2), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576,
-1288231/524288], [1408059/524288, 1408059/524288], [0, 0]]]], [[9, 11, 1, 4,
1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y =
u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1498947/1048576
, 374737/262144], [-3, -3]]]], [[9, 11, 1, 4, 2], [And(1 < v,v < 2^(1/2)), And
((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [1498947/1048576, 374737/262144], [-1314069/1048576
, -328517/262144]]]], [[9, 11, 1, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,
z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-3, -3], [1498947/1048576, 374737/262144],
[0, 0]]]], [[9, 11, 1, 4, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3
], [1498947/1048576, 374737/262144], [328517/262144, 1314069/1048576]]]], [[9,
11, 1, 4, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v
^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [
1498947/1048576, 374737/262144], [3, 3]]]], [[9, 16, 8, 5, 1], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1],
[-1/2, -1/2], [0, 0]]]], [[10, 1, 5, 4, 1], [v = 2^(1/2), u < -2, And(-1 < x,x
< 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 1, 5, 4, 2], [v =
2^(1/2), u < -2, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[10, 1, 5, 4, 3], [v = 2^(1/2), u < -2, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[
10, 1, 5, 4, 4], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2],
[0, 0], [741455/1048576, 46341/65536]]]], [[10, 1, 5, 4, 5], [v = 2^(1/2), u <
-2, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 5, 2, 6,
1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, y = u^2-1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1546383/1048576, -773191/524288], [773191/524288, 1546383/1048576]
, [-1, -1]]]], [[10, 5, 2, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
-u^2+1, y = u^2-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [
773191/524288, 1546383/1048576], [0, 0]]]], [[10, 5, 2, 6, 3], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [773191/524288, 1546383/1048576], [1, 1]]]],
[[10, 7, 3, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), 
And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-35579/262144, -35579/262144], [-3, -3]]]], [[10, 7, 3, 3,
2], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
35579/262144, -35579/262144], [-1243865/1048576, -155483/131072]]]], [[10, 7,
3, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2-x-3
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-35579/262144, -35579/262144], [0, 0]]]], [[10, 7
, 3, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2-x
-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [-35579/262144, -35579/262144], [155483/131072, 1243865/1048576]]]],
[[10, 7, 3, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), 
And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-35579/262144, -35579/262144], [3, 3]]]], [[10, 12, 8, 4, 1
], [v = 2^(1/2), u = 1, x = 1, y = -1, z < 0], [regular_chain, [[741455/524288
, 1482911/1048576], [1, 1], [1, 1], [-1, -1], [-1, -1]]]], [[10, 12, 8, 4, 2],
[v = 2^(1/2), u = 1, x = 1, y = -1, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[10, 12, 8, 4, 3], [v
= 2^(1/2), u = 1, x = 1, y = -1, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1, 1], [-1, -1], [1, 1]]]], [[10, 14, 7, 1, 1], [v
= 2^(1/2), u = v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-4
, -4], [-3, -3]]]], [[10, 14, 7, 1, 2], [v = 2^(1/2), u = v, 1 < x, y < -1-x,
z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288
]]]], [[10, 14, 7, 1, 3], [v = 2^(1/2), u = v, 1 < x, y < -1-x, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [2, 2], [-4, -4], [0, 0]]]], [[10, 14, 7, 1,
4], [v = 2^(1/2), u = v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-\
4, -4], [741455/524288, 1482911/1048576]]]], [[10, 14, 7, 1, 5], [v = 2^(1/2),
u = v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-4, -4], [3, 3]]]
], [[11, 2, 1, 6, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y = -x, z < 0]
, [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [4,
4], [-1, -1]]]], [[11, 2, 1, 6, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3,
y = -x, z = 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-4, -4], [4, 4], [0, 0]]]], [[11, 2, 1, 6, 3], [2^(1/2) < v, u = -(v^2+2)^(1/
2), x < -3, y = -x, 0 < z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-4, -4], [4, 4], [1, 1]]]], [[11, 3, 9, 7, 1], [2^(1/2) < v
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^
2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [1566621/2097152, 1566621/2097152], [-132633/1048576, -\
132633/1048576], [0, 0]]]], [[11, 9, 9, 6, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-257771/1048576, -128885/524288], [0, 0]]]], [[11, 11
, 6, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, 
And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [
0, 0], [-5, -5], [-4, -4]]]], [[11, 11, 6, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)]
, [regular_chain, [[3, 3], [0, 0], [0, 0], [-5, -5], [-146543/65536, -2344687/
1048576]]]], [[11, 11, 6, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2
))], [regular_chain, [[3, 3], [0, 0], [0, 0], [-5, -5], [0, 0]]]], [[11, 11, 6
, 3, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, And(u
^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [0, 0],
[-5, -5], [2344687/1048576, 146543/65536]]]], [[11, 11, 6, 3, 5], [2^(1/2) < v
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0),
(-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [0, 0], [-5, -5], [4, 4]]]],
[[11, 15, 3, 9, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1
< x,x < -1), -x < y, z = z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [3, 3], [0, 0]]]], [[11, 
17, 4, 4, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z < -\
1], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [0, 0],
[-2, -2]]]], [[11, 17, 4, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= -1, y = 0, z = -1], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1, -1], [0, 0], [-1, -1]]]], [[11, 17, 4, 4, 3], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1, -1], [0, 0], [0, 0]]]], [[11, 17, 4, 4, 4]
, [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [0, 0], [1,
1]]]], [[11, 17, 4, 4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1,
y = 0, 1 < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -\
1], [0, 0], [2, 2]]]], [[1, 1, 5, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-33/4, -33/4], [-4, -4]]]],
[[1, 1, 5, 3, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u
^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5]
, [-1/2, -1/2], [-33/4, -33/4], [-49627675/16777216, -24813837/8388608]]]], [[
1, 1, 5, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2
+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-3, -3], [-5, -5], [-1/2, -1/2], [-33/4, -33/4], [-5/16777216, -5/16777216]]
]], [[1, 1, 5, 3, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5
, -5], [-1/2, -1/2], [-33/4, -33/4], [3101729/1048576, 1550865/524288]]]], [[1
, 1, 5, 3, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+
v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-\
1/2, -1/2], [-33/4, -33/4], [4, 4]]]], [[1, 3, 2, 6, 1], [v < -2^(1/2), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [391655/131072, 3133241/1048576], [0, 0]]]], [[1, 9,
2, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v
^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369
/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [-1, -1], [-\
3, -3]]]], [[1, 9, 2, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/
2097152], [-1, -1], [-7856171/4194304, -3928085/2097152]]]], [[1, 9, 2, 1, 3],
[v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y <
0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/
2097152], [-1, -1], [-1/4194304, -1/4194304]]]], [[1, 9, 2, 1, 4], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, z = (-u^
2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [-1, -1], [982021/524288, 
1964043/1048576]]]], [[1, 9, 2, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [-1, -1], [3, 3]]]], [[1, 10, 8, 4, 1], [v < -2^(1/
2), u = -(v^2-2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[1, 10, 8,
4, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, y = -1, z = 0], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [-1, -\
1], [0, 0]]]], [[1, 10, 8, 4, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, y
= -1, 0 < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[1, 1], [-1, -1], [1, 1]]]], [[1, 14, 4, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[1, 14,
4, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1
-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1,
-1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[1, 14, 4, 3, 3], [
v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[1, 14, 4, 3, 4], [v < -2^(1/2),
u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain
, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [-1/2, -1/2], [642119
/524288, 1284239/1048576]]]], [[1, 14, 4, 3, 5], [v < -2^(1/2), u = (v^2-1)^(1
/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[1, 16, 3
, 4, 1], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 16,
3, 4, 2], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[1, 16, 3, 4, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 0
), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [3,
3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 16, 3, 4, 4], [v < -2^(1/2), u = -v,
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3],
[-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[1, 16, 3, 4, 5], [v
< -2^(1/2), u = -v, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-3, -3], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 21, 11, 4, 1], [v < -
2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, z < 0], [regular_chain, [[-\
3, -3], [5, 5], [16, 16], [-16, -16], [-1, -1]]]], [[1, 21, 11, 4, 2], [v < -2
^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, z = 0], [regular_chain, [[-3
, -3], [5, 5], [16, 16], [-16, -16], [0, 0]]]], [[1, 21, 11, 4, 3], [v < -2^(1
/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, 0 < z], [regular_chain, [[-3, -\
3], [5, 5], [16, 16], [-16, -16], [1, 1]]]], [[2, 2, 6, 5, 1], [v = -2^(1/2),
u = -2, x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [0, 0], [1/2, 1/2], [0, 0]]]], [[2, 9, 6, 3, 1], [v
= -2^(1/2), And(-1 < u,u < 0), x = 0, And(u^2-3 < y,y < 0), z < -(-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-\
11/8, -11/8], [-3, -3]]]], [[2, 9, 6, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0),
x = 0, And(u^2-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-11/8, -11/8], [-1229565/
1048576, -307391/262144]]]], [[2, 9, 6, 3, 3], [v = -2^(1/2), And(-1 < u,u < 0
), x = 0, And(u^2-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-11
/8, -11/8], [0, 0]]]], [[2, 9, 6, 3, 4], [v = -2^(1/2), And(-1 < u,u < 0), x =
0, And(u^2-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1/2, -1/2], [0, 0], [-11/8, -11/8], [307391/262144, 1229565
/1048576]]]], [[2, 9, 6, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, And(u
^2-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [0, 0], [-11/8, -11/8], [3, 3]]]], [[2, 11, 3, 8, 1], [
v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = -u^2-x+1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [21/8, 21/8], [0, 0]]]], [[2, 17, 3, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -1554043/
4194304], [-3, -3]]]], [[2, 17, 3, 3, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -1554043/
4194304], [-380925/262144, -1523699/1048576]]]], [[2, 17, 3, 3, 3], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-1554043/4194304, -1554043/4194304], [0, 0]]]], [[2, 17, 3,
3, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(-u^2
-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-1554043/4194304, -1554043/4194304], [1523699/1048576, 
380925/262144]]]], [[2, 17, 3, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 
And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -1554043/
4194304], [3, 3]]]], [[2, 18, 9, 6, 1], [v = -2^(1/2), u = 2, 1 < x, y = 1-x,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [
-1, -1], [0, 0]]]], [[3, 3, 4, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1, -1], [1, 1], [-1, -1]]]], [[3, 3, 4, 6, 2], [And(-2^(1/2) < v,v < -1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-1, -1], [1, 1], [0, 0]]]], [[3, 3, 4, 6, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-1, -1], [1, 1], [1, 1]]]], [[3, 5, 3, 9, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [3, 3], [0, 0]]]], [[3, 11
, 3, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-
v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [0, 0], [-3, -3]]]], [[3, 11, 3, 4, 2], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [0, 0], [-\
1188757/1048576, -297189/262144]]]], [[3, 11, 3, 4, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x
)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [0, 0], [0, 0]]]], [[3, 11, 3, 4, 4], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-5390713/4194304, -5390713/4194304], [0, 0], [297189/262144, 
1188757/1048576]]]], [[3, 11, 3, 4, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [0, 0], [3, 3]]]], [[3, 13, 4,
3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-
u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-490235/
2097152, -490235/2097152], [-3, -3]]]], [[3, 13, 4, 3, 2], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [-490235/2097152, -490235/2097152], [-\
1164705/1048576, -36397/32768]]]], [[3, 13, 4, 3, 3], [And(-2^(1/2) < v,v < -1
), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^
(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-490235/2097152, -\
490235/2097152], [0, 0]]]], [[3, 13, 4, 3, 4], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [-490235/2097152, -490235/2097152], [36397/32768,
1164705/1048576]]]], [[3, 13, 4, 3, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [-490235/2097152, -490235/2097152], [3, 3]]]], [[3
, 14, 2, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y = 0, z
< -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-2, -2], [0, 0], [-3, -3]]]], [[3, 14, 2, 2, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[3, 14, 2,
2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y = 0, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-2, -2], [0, 0], [0, 0]]]], [[3, 14, 2, 2, 4
], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[3, 14
, 2, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y = 0, 2^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-2, -2], [0, 0], [3, 3]]]], [[3, 16, 1, 3, 1], [And(
-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[3, 16, 1, 3, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853
/65536, 1949649/1048576], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/
524288]]]], [[3, 16, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
< -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [1/2, 1/2], [0, 0]]]], [[3, 16, 1, 3, 4], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[3, 16,
1, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(0 < y,y <
-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [121853/65536, 1949649/1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[4, 4, 3
, 1, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2
], [-2, -2], [-3, -3]]]], [[4, 4, 3, 1, 2], [v = -1, u = -2^(1/2), And(-2 < x,
x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/
524288]]]], [[4, 4, 3, 1, 3], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y < -
x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[4, 4, 3
, 1, 4], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)
], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2]
, [-2, -2], [980853/524288, 1961707/1048576]]]], [[4, 4, 3, 1, 5], [v = -1, u
= -2^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [
[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-2, -2], [3, 3]]]
], [[4, 6, 1, 7, 1], [v = -1, u = -1, x < -1, -x < y, z = z], [regular_chain,
[[-1, -1], [-1, -1], [-2, -2], [3, 3], [0, 0]]]], [[4, 10, 2, 3, 1], [v = -1,
u = 1, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1],
[1, 1], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[4, 10, 2, 3, 2], [v = -1, u = 1,
x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1]
, [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[4, 10, 2, 3,
3], [v = -1, u = 1, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1/2, 1/2], [0, 0]]]], [[
4, 10, 2, 3, 4], [v = -1, u = 1, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-1, -1], [1/2, 1/2], [741455/1048576, 46341
/65536]]]], [[4, 10, 2, 3, 5], [v = -1, u = 1, x = -1, And(0 < y,y < 1), (1-y)
^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [1/2, 1/2], [2, 2]]]
], [[4, 12, 3, 6, 1], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), y = -x, z < 0]
, [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [
3/2, 3/2], [-1, -1]]]], [[4, 12, 3, 6, 2], [v = -1, u = 2^(1/2), And(-2 < x,x
< -1), y = -x, z = 0], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[4, 12, 3, 6, 3], [v = -1, u =
2^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[5, 2,
6, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, y < -3, z < -(-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-4, -4], [-3, -3]]]
], [[5, 2, 6, 1, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, y < -3, z
= -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-4, -4],
[-2, -2]]]], [[5, 2, 6, 1, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0,
y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
-3/2, -3/2], [0, 0], [-4, -4], [0, 0]]]], [[5, 2, 6, 1, 4], [And(-1 < v,v < 0)
, u = -(v^2+2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [0, 0], [-4, -4], [2, 2]]]], [[5, 2, 6, 1, 5], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-4, -4], [3, 3]]]], [[5, 4, 4, 3, 1], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1,
-1], [-1/2, -1/2], [-3, -3]]]], [[5, 4, 4, 3, 2], [And(-1 < v,v < 0), u = -(v^
2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1/2, -1/2], [-\
1284239/1048576, -642119/524288]]]], [[5, 4, 4, 3, 3], [And(-1 < v,v < 0), u =
-(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -\
1], [-1/2, -1/2], [0, 0]]]], [[5, 4, 4, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1/2, -1/2], [642119/
524288, 1284239/1048576]]]], [[5, 4, 4, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]],
[[5, 11, 6, 5, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [0, 0], [243021/1048576, 243021/1048576], [0, 0
]]]], [[5, 13, 4, 1, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y < -u
^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-\
10, -10], [-5, -5]]]], [[5, 13, 4, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) <
u, x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3,
3], [-1, -1], [-10, -10], [-1738867/524288, -3477733/1048576]]]], [[5, 13, 4,
1, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1],
[-10, -10], [0, 0]]]], [[5, 13, 4, 1, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) <
u, x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3,
3], [-1, -1], [-10, -10], [3477733/1048576, 1738867/524288]]]], [[5, 13, 4, 1,
5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, (1-y)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-10, -10], [5, 5]]]], [[
6, 5, 7, 2, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = -u^2-x-1,
z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-7/
8, -7/8], [-3, -3]]]], [[6, 5, 7, 2, 2], [v = 0, And(-1 < u,u < 0), And(u^2-1
< x,x < 0), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2,
-1/2], [-3/8, -3/8], [-7/8, -7/8], [-146543/131072, -1172343/1048576]]]], [[6,
5, 7, 2, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = -u^2-x-1, 
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1
/2], [-3/8, -3/8], [-7/8, -7/8], [0, 0]]]], [[6, 5, 7, 2, 4], [v = 0, And(-1 <
u,u < 0), And(u^2-1 < x,x < 0), y = -u^2-x-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-7/8, -7/8], [1172343/
1048576, 146543/131072]]]], [[6, 5, 7, 2, 5], [v = 0, And(-1 < u,u < 0), And(u
^2-1 < x,x < 0), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-\
1/2, -1/2], [-3/8, -3/8], [-7/8, -7/8], [3, 3]]]], [[6, 7, 8, 1, 1], [v = 0, 
And(0 < u,u < 1), x = 0, y < -u^2-1, z < -(-y)^(1/2)], [regular_chain, [[0, 0]
, [1/2, 1/2], [0, 0], [-3, -3], [-3, -3]]]], [[6, 7, 8, 1, 2], [v = 0, And(0 <
u,u < 1), x = 0, y < -u^2-1, z = -(-y)^(1/2)], [regular_chain, [[0, 0], [1/2,
1/2], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[6, 7, 8, 1,
3], [v = 0, And(0 < u,u < 1), x = 0, y < -u^2-1, And(-(-y)^(1/2) < z,z < (-y)^
(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3, -3], [-1/4194304, -\
1/4194304]]]], [[6, 7, 8, 1, 4], [v = 0, And(0 < u,u < 1), x = 0, y < -u^2-1,
z = (-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[6, 7, 8, 1, 5], [v = 0, And(0 < u,u < 1)
, x = 0, y < -u^2-1, (-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [0,
0], [-3, -3], [3, 3]]]], [[6, 11, 4, 8, 1], [v = 0, 2^(1/2) < u, x = -1, y = u
^2, z = z], [regular_chain, [[0, 0], [3, 3], [-1, -1], [9, 9], [0, 0]]]], [[7,
1, 11, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v
^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9]
, [-75/4, -75/4], [-5, -5]]]], [[7, 1, 11, 2, 2], [And(0 < v,v < 1), u < -(v^2
+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-75/4, -75/4], [-1637089/524288
, -3274177/1048576]]]], [[7, 1, 11, 2, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/
2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1
)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-75/4, -75/4], [0,
0]]]], [[7, 1, 11, 2, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x
, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3,
-3], [9, 9], [-75/4, -75/4], [3274177/1048576, 1637089/524288]]]], [[7, 1, 11,
2, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-75/4,
-75/4], [5, 5]]]], [[7, 7, 9, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), And
(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [0, 0], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[7, 7, 9, 1, 2], [And(0 < v,v <
1), And(-v < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-3, -3], [-3315889/2097152,
-207243/131072]]]], [[7, 7, 9, 1, 3], [And(0 < v,v < 1), And(-v < u,u < v), 
And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-3, -3], [0, 0]]]], [[7, 7, 9
, 1, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x
-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-3, -\
3], [207243/131072, 1657945/1048576]]]], [[7, 7, 9, 1, 5], [And(0 < v,v < 1),
And(-v < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-3, -3], [3, 3]]]], [[7, 9, 9
, 9, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 0
< y, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152],
[1/2, 1/2], [1, 1], [0, 0]]]], [[7, 10, 9, 6, 1], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576,
146543/131072], [2, 2], [0, 0], [0, 0]]]], [[7, 12, 6, 5, 1], [And(0 < v,v < 1
), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[1/2,
1/2], [3/2, 3/2], [0, 0], [1/2, 1/2], [0, 0]]]], [[8, 5, 1, 1, 1], [v = 1, And
(-2^(1/2) < u,u < -1), x < -u^2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[
1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-3, -3]]]],
[[8, 5, 1, 1, 2], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y < 0, z = -(-x-
y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3,
-3], [-1, -1], [-2, -2]]]], [[8, 5, 1, 1, 3], [v = 1, And(-2^(1/2) < u,u < -1)
, x < -u^2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [0, 0]]]], [
[8, 5, 1, 1, 4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y < 0, z = (-x-y)
^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [-1, -1], [2, 2]]]], [[8, 5, 1, 1, 5], [v = 1, And(-2^(1/2) < u,u < -1), x
< -u^2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[8, 7, 1, 5, 1], [v = 1, 
And(-1 < u,u < 0), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [2, 2], [-2, -2]]]], [[8, 7,
1, 5, 2], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [2, 2], [-1
, -1]]]], [[8, 7, 1, 5, 3], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(u^2-x-2
< y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1
, 1], [-1/2, -1/2], [-3, -3], [2, 2], [0, 0]]]], [[8, 7, 1, 5, 4], [v = 1, And
(-1 < u,u < 0), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [2, 2], [1, 1]]]], [[8, 7, 1,
5, 5], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), (-x-
y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [2, 2], [2, 2]
]]], [[8, 11, 2, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(2*u^2-2
< y,y < u^2), z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-1527887/1048576, -763943/524288], [621627/524288, 621627/
524288], [-2, -2]]]], [[8, 11, 2, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = -
u^2, And(2*u^2-2 < y,y < u^2), z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [621627
/524288, 621627/524288], [-1092629/2097152, -273157/524288]]]], [[8, 11, 2, 5,
3], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(2*u^2-2 < y,y < u^2), And(-(
u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [621627/524288,
621627/524288], [0, 0]]]], [[8, 11, 2, 5, 4], [v = 1, And(1 < u,u < 2^(1/2)),
x = -u^2, And(2*u^2-2 < y,y < u^2), z = (u^2-y)^(1/2)], [regular_chain, [[1, 1
], [1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [
621627/524288, 621627/524288], [273157/524288, 546315/1048576]]]], [[8, 11, 2,
5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(2*u^2-2 < y,y < u^2), (u^
2-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1527887/1048576, -763943/524288], [621627/524288, 621627/524288], [2, 2]]]],
[[8, 13, 1, 4, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x,
z < -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4]
, [799673/524288, 1599347/1048576], [-3, -3]]]], [[8, 13, 1, 4, 2], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, z = -u], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/524288, 1599347/
1048576], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 1, 4, 3], [v = 1,
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/
524288, 1599347/1048576], [-1/4194304, -1/4194304]]]], [[8, 13, 1, 4, 4], [v =
1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, z = u], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/524288, 1599347
/1048576], [412387/262144, 1649549/1048576]]]], [[8, 13, 1, 4, 5], [v = 1, And
(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, u < z], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [-4, -4], [799673/524288, 1599347/
1048576], [3, 3]]]], [[9, 3, 2, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [4, 4], [0, 0]]]], [[9
, 5, 1, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u
^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [
646847/262144, 2587389/1048576], [-2, -2]]]], [[9, 5, 1, 6, 2], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z =
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [646847/262144, 2587389/1048576]
, [-1530309/2097152, -382577/524288]]]], [[9, 5, 1, 6, 3], [And(1 < v,v < 2^(1
/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [
646847/262144, 2587389/1048576], [0, 0]]]], [[9, 5, 1, 6, 4], [And(1 < v,v < 2
^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [646847/262144, 2587389/1048576]
, [382577/524288, 765155/1048576]]]], [[9, 5, 1, 6, 5], [And(1 < v,v < 2^(1/2)
), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+
1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [646847/262144, 2587389/1048576], [2, 2]
]]], [[9, 11, 10, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v)
, x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [0, 0], [0, 0]]]], [[9, 13, 11, 3, 1]
, [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-12582911/
4194304, -12582911/4194304], [-2, -2]]]], [[9, 13, 11, 3, 2], [And(1 < v,v < 2
^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2
-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[9, 13, 11, 3,
3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2
-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [-12582911/4194304, -12582911/4194304], [-3670015/
8796093022208, -3670015/8796093022208]]]], [[9, 13, 11, 3, 4], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^
2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [1048575/1048576, 1]]]], [[9, 13, 11, 3, 5], [And(1 < v,v < 2^(1/2))
, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1),
(-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [2, 2]]]], [[10, 2, 3, 6, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -\
1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2
], [-2, -2], [2, 2], [-1, -1]]]], [[10, 2, 3, 6, 2], [v = 2^(1/2), u = -2, And
(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-2, -2], [2, 2], [0, 0]]]], [[10, 2, 3, 6, 3], [v = 2^(1/
2), u = -2, And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-2, -2], [2, 2], [1, 1]]]], [[10, 3, 11,
5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-x < y,y < u^2-x-3),
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [2, 2], [-3688837/2097152, -3688837/2097152], [0, 0]]]], [[
10, 8, 1, 5, 1], [v = 2^(1/2), u = -1, x < -2, And(-x-2 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -\
3], [2, 2], [-2, -2]]]], [[10, 8, 1, 5, 2], [v = 2^(1/2), u = -1, x < -2, And(
-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [-3, -3], [2, 2], [-1, -1]]]], [[10, 8, 1, 5, 3], [v = 2^
(1/2), u = -1, x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3]
, [2, 2], [0, 0]]]], [[10, 8, 1, 5, 4], [v = 2^(1/2), u = -1, x < -2, And(-x-2
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-3, -3], [2, 2], [1, 1]]]], [[10, 8, 1, 5, 5], [v = 2^(1/
2), u = -1, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [2, 2], [2, 2]]]], [[10,
9, 11, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-2, -\
2], [-1, -1]]]], [[10, 9, 11, 4, 2], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y
= -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[2, 2], [-2, -2], [0, 0]]]], [[10, 9, 11, 4, 3], [v = 2^(1/2), And(-1 < u,u <
0), 1 < x, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [2, 2], [-2, -2], [1, 1]]]], [[10, 15, 9, 5, 1], [v = 2^(1/2), 
And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [1/2, 1/2], [-799673/1048576, -799673/1048576], [-2, -2]]]],
[[10, 15, 9, 5, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), 
And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-799673/
1048576, -799673/1048576], [-268683/524288, -1074731/2097152]]]], [[10, 15, 9,
5, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(u^2-x-3 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-\
799673/1048576, -799673/1048576], [-1/4194304, -1/4194304]]]], [[10, 15, 9, 5,
4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(u^2-x-3 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1/2, 1/2], [-799673/1048576, -799673/
1048576], [537365/1048576, 268683/524288]]]], [[10, 15, 9, 5, 5], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [1/2, 1/2], [-799673/1048576, -799673/1048576], [2, 2]]]], [
[10, 17, 8, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -2*u^2
+4, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-49729379
/16777216, -24864689/8388608], [-3, -3]]]], [[10, 17, 8, 2, 2], [v = 2^(1/2),
And(3^(1/2) < u,u < 2), x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/1048576, 126367/262144], [-49729379/16777216, -24864689/
8388608], [-825991/524288, -3303963/2097152]]]], [[10, 17, 8, 2, 3], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z
< (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-49729379/
16777216, -24864689/8388608], [-1/4194304, -1/4194304]]]], [[10, 17, 8, 2, 4],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/1048576, 126367/262144], [-49729379/16777216, -\
24864689/8388608], [1651981/1048576, 825991/524288]]]], [[10, 17, 8, 2, 5], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339
/2097152], [505467/1048576, 126367/262144], [-49729379/16777216, -24864689/
8388608], [3, 3]]]], [[10, 18, 6, 3, 1], [v = 2^(1/2), u = 2, x = 0, And(-3 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[2, 2], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[10, 18, 6, 3, 2], [v = 2^(1/2), u
= 2, x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [0, 0], [-3/2, -3/2], [-1284239/1048576, -\
642119/524288]]]], [[10, 18, 6, 3, 3], [v = 2^(1/2), u = 2, x = 0, And(-3 < y,
y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [2, 2], [0, 0], [-3/2, -3/2], [0, 0]]]], [[10, 18, 6, 3, 4],
[v = 2^(1/2), u = 2, x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [-3/2, -3/2], [642119/
524288, 1284239/1048576]]]], [[10, 18, 6, 3, 5], [v = 2^(1/2), u = 2, x = 0, 
And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [0, 0], [-3/2, -3/2], [3, 3]]]], [[11, 1, 3, 4, 1], [2^(1/2)
< v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[3, 3], [-5, -5], [-9, -9], [0, 0], [-4, -4]]]], [[11, 1, 3,
4, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [0, 0], [-3, -3]]
]], [[11, 1, 3, 4, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [
-5, -5], [-9, -9], [0, 0], [0, 0]]]], [[11, 1, 3, 4, 4], [2^(1/2) < v, u < -(v
^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-9, -9], [0, 0], [3, 3]]]], [[11, 1, 3, 4,
5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^
(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [0, 0], [4, 4]]]], [[
11, 7, 1, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [2, 2], [-2, -2]]]], [[
11, 7, 1, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[
11, 7, 1, 5, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [2
, 2], [0, 0]]]], [[11, 7, 1, 5, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2
)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [2, 2]
, [1, 1]]]], [[11, 7, 1, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [2, 2]
, [2, 2]]]], [[11, 8, 9, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, y = -
x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [2, 2], [-4, -4], [-3, -3]]]], [[11, 8, 9, 2, 2], [2^(1/2) < v, u =
-(v^2-1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [2, 2], [-4, -4], [-1482911/1048576, -\
741455/524288]]]], [[11, 8, 9, 2, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x,
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [2, 2], [-4, -4], [0, 0]]]], [[11, 8, 9, 2, 4], [
2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [-4, -4], [741455/
524288, 1482911/1048576]]]], [[11, 8, 9, 2, 5], [2^(1/2) < v, u = -(v^2-1)^(1/
2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [2, 2], [-4, -4], [3, 3]]]], [[11, 12, 4, 6, 1], [2^(1/2)
< v, u = (v^2-2)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1, -1], [1, 1], [-1, -1]]]], [[11, 12, 4, 6, 2
], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[3
, 3], [2774271/1048576, 10837/4096], [-1, -1], [1, 1], [0, 0]]]], [[11, 12, 4,
6, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain,
[[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [1, 1], [1, 1]]]], [[11, 14,
1, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3,
-3], [2, 2], [-2, -2]]]], [[11, 14, 1, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2),
x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[11, 14, 1, 5
, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-3, -3], [2, 2], [0, 0]]]], [[11, 14, 1, 5, 4], [2^(1/2) <
v, u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [2, 2], [1
, 1]]]], [[11, 14, 1, 5, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(-x-2
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-3, -3], [2, 2], [2, 2]]]], [[11, 20, 1, 6, 1], [2^(1/2) <
v, u = (v^2+2)^(1/2), x < -3, y = -x, z < 0], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-4, -4], [4, 4], [-1, -1]]]], [[11, 20, 1,
6, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain
, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [4, 4], [0, 0]]]], [[
11, 20, 1, 6, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = -x, 0 < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [4, 4], [
1, 1]]]], [[11, 21, 9, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u
^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [5, 5], [8, 8],
[-4, -4], [0, 0]]]], [[1, 3, 11, 5, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), 1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-\
919065/524288, -919065/524288], [0, 0]]]], [[1, 5, 10, 8, 1], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = 0, z = z], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [1, 1], [0, 0], [0, 0]]]], [[1, 11, 8, 3,
1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, And(u^2-v
^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1, 1
], [-6, -6], [-4, -4]]]], [[1, 11, 8, 3, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [1, 1], [-6, -6], [-146543/65536, -2344687/
1048576]]]], [[1, 11, 8, 3, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)
^(1/2))], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-6, -6], [0, 0]]]], [[1,
11, 8, 3, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [0, 0
], [1, 1], [-6, -6], [2344687/1048576, 146543/65536]]]], [[1, 11, 8, 3, 5], [v
< -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 <
y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-6,
-6], [4, 4]]]], [[1, 13, 5, 6, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[1, 
13, 5, 6, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1
< x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 13, 5, 6, 3], [v <
-2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = -x,
0 < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1
/2], [1/2, 1/2], [1, 1]]]], [[1, 17, 6, 2, 1], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [-66225059/67108864, -33112529/33554432], [-3, -3]]]], [[1,
17, 6, 2, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y =
-2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-66225059/
67108864, -33112529/33554432], [-1281417/1048576, -160177/131072]]]], [[1, 17,
6, 2, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*
u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152]
, [-66225059/67108864, -33112529/33554432], [0, 0]]]], [[1, 17, 6, 2, 4], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[-531193/1048576, -1062385/2097152], [-66225059/67108864, -33112529/33554432],
[160177/131072, 1281417/1048576]]]], [[1, 17, 6, 2, 5], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z
], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576
, -1062385/2097152], [-66225059/67108864, -33112529/33554432], [3, 3]]]], [[1,
19, 5, 5, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1
< x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1
, 19, 5, 5, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-\
1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]
], [[1, 19, 5, 5, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2],
[1/4, 1/4], [0, 0]]]], [[1, 19, 5, 5, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [
1/4, 1/4], [1/2, 1/2]]]], [[1, 19, 5, 5, 5], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2]
, [1/4, 1/4], [2, 2]]]], [[2, 3, 6, 4, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), x = 0, y = 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3913339/2097152, -3913339/2097152], [0, 0], [0, 0], [-1, -1]]]], [[2, 3,
6, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y = 0, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [0, 0], [0, 0], [0, 0]]]], [[2, 3, 6, 4, 3], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [0, 0], [0, 0]
, [1, 1]]]], [[2, 5, 5, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1
< x,x < u^2-3), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [1048577/2097152, 1048577/2097152], [-2, -2]
]]], [[2, 5, 5, 7, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x <
u^2-3), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [1048577/2097152, 1048577/2097152], [-\
1074731/2097152, -537365/1048576]]]], [[2, 5, 5, 7, 3], [v = -2^(1/2), And(-3^
(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[2, 5, 5, 7, 4], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [
1048577/2097152, 1048577/2097152], [537365/1048576, 268683/524288]]]], [[2, 5,
5, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(u
^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [1048577/2097152, 1048577/2097152], [2, 2]]]], [[2, 6, 4, 4,
1], [v = -2^(1/2), u = v, x = 0, y = 0, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [0, 0],
[-1, -1]]]], [[2, 6, 4, 4, 2], [v = -2^(1/2), u = v, x = 0, y = 0, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [0, 0], [0, 0]]]], [[2, 6, 4, 4, 3], [v = -2^(1/2), u = v, x
= 0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [0, 0], [0, 0], [1, 1]]]], [[2, 8, 5, 5, 1],
[v = -2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2]
, [1/4, 1/4], [-2, -2]]]], [[2, 8, 5, 5, 2], [v = -2^(1/2), u = -1, And(-1 < x
,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[2, 8, 5, 5, 3], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2, 8, 5, 5,
4], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1
/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 8, 5, 5, 5], [v = -2^(1/2), u = -1, And(-\
1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[2,
13, 11, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576
], [-2, -2]]]], [[2, 13, 11, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, 
And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-\
2336807/1048576, -2336807/1048576], [-501295/1048576, -250647/524288]]]], [[2,
13, 11, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-\
2336807/1048576, -2336807/1048576], [0, 0]]]], [[2, 13, 11, 5, 4], [v = -2^(1/
2), And(1 < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [-2336807/1048576, -2336807/1048576], [250647/524288, 501295
/1048576]]]], [[2, 13, 11, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And
(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-2336807/1048576
, -2336807/1048576], [2, 2]]]], [[2, 16, 1, 4, 1], [v = -2^(1/2), u = 3^(1/2),
x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[2,
16, 1, 4, 2], [v = -2^(1/2), u = 3^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[2, 16, 1,
4, 3], [v = -2^(1/2), u = 3^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [1, 1], [0, 0]]]], [[2, 16, 1, 4, 4], [v = -2^(1/2
), u = 3^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [1, 1],
[741455/524288, 1482911/1048576]]]], [[2, 16, 1, 4, 5], [v = -2^(1/2), u = 3^(
1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [1, 1], [3, 3]]]],
[[2, 19, 9, 4, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -x, z < 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-7/2
, -7/2], [-1, -1]]]], [[2, 19, 9, 4, 2], [v = -2^(1/2), 2 < u, And(1 < x,x < u
^2-3), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [7/2, 7/2], [-7/2, -7/2], [0, 0]]]], [[2, 19, 9, 4, 3], [v = -2^(1/2), 2
< u, And(1 < x,x < u^2-3), y = -x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3, 3], [7/2, 7/2], [-7/2, -7/2], [1, 1]]]], [[3, 2, 4, 7, 1]
, [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1, -1], [3/2, 3/2], [0, 0]]]], [[3, 8, 2, 4, 1], [And(-2^
(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y = 2, z < 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2
, -2], [2, 2], [-1, -1]]]], [[3, 8, 2, 4, 2], [And(-2^(1/2) < v,v < -1), u = -
(v^2-1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [2, 2], [0, 0]
]]], [[3, 8, 2, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2,
y = 2, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [2, 2], [1, 1]]]], [[3, 10, 1, 5,
1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[3, 10, 1, 5,
2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[3, 10, 1, 5,
3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [2, 2], [0, 0]
]]], [[3, 10, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2,
And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [2, 2], [1, 1]]]]
, [[3, 10, 1, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And
(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [2, 2], [2, 2]]]]
, [[3, 17, 1, 2, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^
2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-10, -10], [0, 0], [-5, -5]]]], [[3, 17, 1, 2, 2], [And(-2^
(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [0,
0], [-3315889/1048576, -207243/65536]]]], [[3, 17, 1, 2, 3], [And(-2^(1/2) < v
,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
10, -10], [0, 0], [0, 0]]]], [[3, 17, 1, 2, 4], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [0, 0], [207243/65536,
3315889/1048576]]]], [[3, 17, 1, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10, -10], [0, 0], [5, 5]]]], [[4, 1, 7,
5, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[4,
7, 5, 2, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = u^2-x-2, z
< -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-9
/8, -9/8], [-3, -3]]]], [[4, 7, 5, 2, 2], [v = -1, And(-1 < u,u < 0), And(-1 <
x,x < -u^2), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1
/2, -1/2], [-5/8, -5/8], [-9/8, -9/8], [-10837/8192, -1387135/1048576]]]], [[4
, 7, 5, 2, 3], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = u^2-x-2,
And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1/2
, -1/2], [-5/8, -5/8], [-9/8, -9/8], [0, 0]]]], [[4, 7, 5, 2, 4], [v = -1, And
(-1 < u,u < 0), And(-1 < x,x < -u^2), y = u^2-x-2, z = (-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-9/8, -9/8], [1387135/
1048576, 10837/8192]]]], [[4, 7, 5, 2, 5], [v = -1, And(-1 < u,u < 0), And(-1
< x,x < -u^2), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [-5/8, -5/8], [-9/8, -9/8], [3, 3]]]], [[4, 9, 4, 5, 1], [v = -1,
And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [-2, -2]]]], [[4,
9, 4, 5, 2], [v = -1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z = -(1
-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [-\
3315889/4194304, -207243/262144]]]], [[4, 9, 4, 5, 3], [v = -1, And(0 < u,u <
1), x = -1, And(0 < y,y < -u^2+1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [0, 0]]]], [[4, 9,
4, 5, 4], [v = -1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z = (1-y)^
(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [207243/
262144, 828973/1048576]]]], [[4, 9, 4, 5, 5], [v = -1, And(0 < u,u < 1), x = -\
1, And(0 < y,y < -u^2+1), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1
/2], [-1, -1], [3/8, 3/8], [2, 2]]]], [[4, 13, 4, 8, 1], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), x = -1, y = u^2-1, z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1, -1], [1546381/1048576, 773191/524288],
[0, 0]]]], [[4, 15, 2, 2, 1], [v = -1, 3^(1/2) < u, x = -u^2, y = 0, z < -u],
[regular_chain, [[-1, -1], [3, 3], [-9, -9], [0, 0], [-4, -4]]]], [[4, 15, 2,
2, 2], [v = -1, 3^(1/2) < u, x = -u^2, y = 0, z = -u], [regular_chain, [[-1, -\
1], [3, 3], [-9, -9], [0, 0], [-3, -3]]]], [[4, 15, 2, 2, 3], [v = -1, 3^(1/2)
< u, x = -u^2, y = 0, And(-u < z,z < u)], [regular_chain, [[-1, -1], [3, 3], [
-9, -9], [0, 0], [0, 0]]]], [[4, 15, 2, 2, 4], [v = -1, 3^(1/2) < u, x = -u^2,
y = 0, z = u], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [0, 0], [3, 3]]]],
[[4, 15, 2, 2, 5], [v = -1, 3^(1/2) < u, x = -u^2, y = 0, u < z], [
regular_chain, [[-1, -1], [3, 3], [-9, -9], [0, 0], [4, 4]]]], [[5, 5, 5, 3, 1
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1
), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152
], [-1272471/4194304, -1272471/4194304], [-3, -3]]]], [[5, 5, 5, 3, 2], [And(-\
1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(-u
^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
1272471/4194304, -1272471/4194304], [-1100319/1048576, -550159/524288]]]], [[5
, 5, 5, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x
< u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304], [0,
0]]]], [[5, 5, 5, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 
And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304], [550159/
524288, 1100319/1048576]]]], [[5, 5, 5, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), (-
x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [-1272471/4194304, -1272471/
4194304], [3, 3]]]], [[5, 7, 6, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [0, 0], [-3/4, -3/4], [-1/2, -1/2], [-3, -3]]]], [[5, 7, 6, 2, 2],
[And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1/2
, -1/2], [-146543/131072, -1172343/1048576]]]], [[5, 7, 6, 2, 3], [And(-1 < v,
v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3
/4, -3/4], [-1/2, -1/2], [0, 0]]]], [[5, 7, 6, 2, 4], [And(-1 < v,v < 0), And(
v < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1/2, -1/2], [1172343/
1048576, 146543/131072]]]], [[5, 7, 6, 2, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1/2, -1/2], [3, 3]]]], [
[5, 8, 5, 1, 1], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), y < -1-x, z < -
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-3, -3]
, [-3, -3]]]], [[5, 8, 5, 1, 2], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1),
y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2,
1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[5, 8, 5, 1, 3], [And(
-1 < v,v < 0), u = -v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-3, -3]
, [0, 0]]]], [[5, 8, 5, 1, 4], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), y
< -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/
2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[5, 8, 5, 1, 5], [And(-1 <
v,v < 0), u = -v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-3, -3], [3, 3]]]], [[5
, 10, 5, 7, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), -x <
y, z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-\
1/2, -1/2], [2, 2], [0, 0]]]], [[6, 2, 7, 9, 1], [v = 0, u = -2^(1/2), And(0 <
x,x < 1), 1-x < y, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455
/524288], [1/2, 1/2], [2, 2], [0, 0]]]], [[6, 4, 6, 4, 1], [v = 0, u = -1, x =
0, y = 0, z < 0], [regular_chain, [[0, 0], [-1, -1], [0, 0], [0, 0], [-1, -1]]
]], [[6, 4, 6, 4, 2], [v = 0, u = -1, x = 0, y = 0, z = 0], [regular_chain, [[
0, 0], [-1, -1], [0, 0], [0, 0], [0, 0]]]], [[6, 4, 6, 4, 3], [v = 0, u = -1,
x = 0, y = 0, 0 < z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [0, 0], [1, 1
]]]], [[6, 8, 7, 2, 1], [v = 0, u = 1, And(0 < x,x < 1), y = -x-2, z < -2^(1/2
)], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[
6, 8, 7, 2, 2], [v = 0, u = 1, And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -\
741455/524288]]]], [[6, 8, 7, 2, 3], [v = 0, u = 1, And(0 < x,x < 1), y = -x-2
, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2],
[-5/2, -5/2], [0, 0]]]], [[6, 8, 7, 2, 4], [v = 0, u = 1, And(0 < x,x < 1), y
= -x-2, z = 2^(1/2)], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-5/2, -5/2
], [741455/524288, 1482911/1048576]]]], [[6, 8, 7, 2, 5], [v = 0, u = 1, And(0
< x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2
], [-5/2, -5/2], [3, 3]]]], [[6, 10, 4, 9, 1], [v = 0, u = 2^(1/2), x = -1, 2
< y, z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -\
1], [3, 3], [0, 0]]]], [[7, 4, 7, 6, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[7, 6, 6, 7, 1], [
And(0 < v,v < 1), u = -v, x = 1, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [
-1/2, -1/2], [1, 1], [1, 1], [0, 0]]]], [[7, 13, 7, 1, 1], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-12, -12], [-5, -5]]]], [[7,
13, 7, 1, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2
+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2],
[-12, -12], [-3555895/1048576, -1777947/524288]]]], [[7, 13, 7, 1, 3], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2]
, [-12, -12], [0, 0]]]], [[7, 13, 7, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) <
u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [3, 3], [1/2, 1/2], [-12, -12], [1777947/524288, 3555895/1048576]]]],
[[7, 13, 7, 1, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/
2], [-12, -12], [5, 5]]]], [[8, 2, 1, 7, 1], [v = 1, u = -3^(1/2), x < -3, And
(-x < y,y < 1-x), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373
/2097152], [-4, -4], [9/2, 9/2], [0, 0]]]], [[8, 7, 10, 8, 1], [v = 1, And(-1
< u,u < 0), x = 1, y = 0, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1
], [0, 0], [0, 0]]]], [[8, 9, 9, 7, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x
< 1), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/
2], [-1/4, -1/4], [0, 0]]]], [[8, 13, 10, 7, 1], [v = 1, And(2^(1/2) < u,u < 3
^(1/2)), x = 1, And(u^2-3 < y,y < 0), z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [1, 1], [-275385/1048576, -275385/1048576],
[0, 0]]]], [[8, 15, 7, 6, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = 0, z
= z], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [0, 0], [0, 0]]]], [[9, 5,
10, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, 0 <
y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1, 1], [1, 1], [0, 0]]]], [[9, 7, 11, 4, 1], [And
(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -1273761/
524288], [-2, -2]]]], [[9, 7, 11, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [-1374407/
2097152, -687203/1048576]]]], [[9, 7, 11, 4, 3], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [2, 2], [-2547523/1048576, -1273761/
524288], [0, 0]]]], [[9, 7, 11, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [687203/1048576
, 171801/262144]]]], [[9, 7, 11, 4, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2547523/1048576, -1273761/524288], [2, 2]]]], [[9,
9, 2, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [3055773/
1048576, 1527887/524288], [0, 0]]]], [[9, 11, 1, 5, 1], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v
^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[9
, 11, 1, 5, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2
-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [2, 2], [-1, -1]]]], [[9, 11, 1, 5, 3], [And(1 < v,v < 2^(
1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u
^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[2, 2], [0, 0]]]], [[9, 11, 1, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [-3, -3], [2, 2], [1, 1]]]], [[9, 11, 1, 5, 5], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y
,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [2, 2], [2, 2]]]
], [[9, 16, 8, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, y = -\
1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536,
1949649/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[9, 16, 8, 4, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-\
1, -1], [0, 0]]]], [[9, 16, 8, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), x = 1, y = -1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [121853/65536, 1949649/1048576], [1, 1], [-1, -1], [1, 1]]]], [[10, 1, 5, 3,
1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2
, -1/2], [-15/4, -15/4], [-4, -4]]]], [[10, 1, 5, 3, 2], [v = 2^(1/2), u < -2,
And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-15/4, -15/4], [
-2161695/1048576, -1080847/524288]]]], [[10, 1, 5, 3, 3], [v = 2^(1/2), u < -2
, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2,
-1/2], [-15/4, -15/4], [0, 0]]]], [[10, 1, 5, 3, 4], [v = 2^(1/2), u < -2, And
(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-15/4, -15/4], [
1080847/524288, 2161695/1048576]]]], [[10, 1, 5, 3, 5], [v = 2^(1/2), u < -2,
And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-15/4, -15/4], [4,
4]]]], [[10, 5, 2, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1,
u^2-1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [3, 3]
, [0, 0]]]], [[10, 7, 3, 4, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 <
x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [0, 0], [-3, -3]]]], [[10, 7, 3, 4, 2], [v = 2^(1/2), And(-v < u,u <
-1), And(u^2-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [0, 0], [-591179/524288, -1182357/1048576]]]], [[
10, 7, 3, 4, 3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [0, 0], [0, 0]]]], [[10, 7, 3, 4, 4], [v = 2^(1/2), And(-v <
u,u < -1), And(u^2-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [0, 0], [1182357/1048576, 591179/524288]]]
], [[10, 7, 3, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1),
y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [0,
0], [3, 3]]]], [[10, 12, 8, 3, 1], [v = 2^(1/2), u = 1, x = 1, And(-3 < y,y <
-1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [1, 1], [-2, -2], [-2, -2]]]], [[10, 12, 8, 3, 2], [v = 2^(1/2), u = 1,
x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [1, 1], [1, 1], [-2, -2], [-1, -1]]]], [[10, 12, 8, 3, 3],
[v = 2^(1/2), u = 1, x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-\
1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1],
[-2, -2], [0, 0]]]], [[10, 12, 8, 3, 4], [v = 2^(1/2), u = 1, x = 1, And(-3 <
y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [1, 1], [-2, -2], [1, 1]]]], [[10, 12, 8, 3, 5], [v = 2^(1/2), u =
1, x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [1, 1], [-2, -2], [2, 2]]]], [[10, 14, 6, 7,
1], [v = 2^(1/2), u = v, x = 1, 0 < y, z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0]]]
], [[11, 2, 1, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733
/1048576], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[11, 2, 1, 5, 2], [2^(1/2) < v,
u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [5/2, 5
/2], [-1284239/1048576, -642119/524288]]]], [[11, 2, 1, 5, 3], [2^(1/2) < v, u
= -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4,
-4], [5/2, 5/2], [0, 0]]]], [[11, 2, 1, 5, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2
), x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
-1738867/524288, -3477733/1048576], [-4, -4], [5/2, 5/2], [642119/524288, 
1284239/1048576]]]], [[11, 2, 1, 5, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x <
-3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [5/2, 5/2], [3, 3]]]], [[11, 3, 9
, 6, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2
-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-265267/
1048576, -132633/524288], [0, 0]]]], [[11, 9, 9, 7, 1], [2^(1/2) < v, And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-\
1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [395403/524288, 395403/524288], [-128885/1048576, -128885/1048576],
[0, 0]]]], [[11, 11, 6, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [0, 0], [0, 0], [0, 0
], [-1, -1]]]], [[11, 11, 6, 4, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (
v^2-2)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[3, 3], [0, 0], [0, 0],
[0, 0], [0, 0]]]], [[11, 11, 6, 4, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [0, 0], [0, 0
], [0, 0], [1, 1]]]], [[11, 15, 3, 8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [657289/
524288, 657289/524288], [-1, -1]]]], [[11, 15, 3, 8, 2], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [657289/524288, 657289/524288], [0, 0]]]], [[11, 15, 3, 8, 3],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -x,
0 < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [657289/524288, 657289/524288], [1, 1]]]], [[11, 17,
4, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y
,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1, -1], [-517383/2097152, -517383/2097152], [-3, -3]]]], [[11, 17,
4, 3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y
,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1, -1], [-517383/2097152, -517383/2097152], [-1170799/1048576, -\
585399/524288]]]], [[11, 17, 4, 3, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/
2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [-517383/
2097152, -517383/2097152], [0, 0]]]], [[11, 17, 4, 3, 4], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [-517383/
2097152, -517383/2097152], [585399/524288, 1170799/1048576]]]], [[11, 17, 4, 3
, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y <
0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1, -1], [-517383/2097152, -517383/2097152], [3, 3]]]], [[1, 1, 5, 4, 1], [v
< -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 1,
5, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[1, 1, 5, 4, 3], [v < -2^(1/2), u < -(v
^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 1, 5
, 4, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)
^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[1, 1, 5, 4, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5]
, [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 3, 2, 3, 1], [v < -2^(1/2), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z
< -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-2615197/1048576, -653799/262144], [653799/524288, 653799/
524288], [-3, -3]]]], [[1, 3, 2, 3, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y
+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
-2615197/1048576, -653799/262144], [653799/524288, 653799/524288], [-1170947/
1048576, -585473/524288]]]], [[1, 3, 2, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^
2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [
653799/524288, 653799/524288], [0, 0]]]], [[1, 3, 2, 3, 4], [v < -2^(1/2), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2
+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-2615197/1048576, -653799/262144], [653799/524288, 653799/
524288], [585473/524288, 1170947/1048576]]]], [[1, 3, 2, 3, 5], [v < -2^(1/2),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-
v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [-2615197/1048576, -653799/262144], [653799/524288, 
653799/524288], [3, 3]]]], [[1, 9, 2, 4, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375
/2097152], [2630187/1048576, 657547/262144], [-1, -1]]]], [[1, 9, 2, 4, 2], [v
< -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = -u^
2+v^2+1, z = 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [2630187/1048576, 657547/262144]
, [0, 0]]]], [[1, 9, 2, 4, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [
2630187/1048576, 657547/262144], [1, 1]]]], [[1, 10, 8, 3, 1], [v < -2^(1/2),
u = -(v^2-2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5/2,
-5/2], [-3, -3]]]], [[1, 10, 8, 3, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x =
1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1, 1], [-5/2, -5/2], [-1284239/1048576, -\
642119/524288]]]], [[1, 10, 8, 3, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1
, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain
, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5/2, -5/2], [0, 0
]]]], [[1, 10, 8, 3, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, And(-4 < y,
y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [
[1, 10, 8, 3, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, And(-4 < y,y < -1)
, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [1, 1], [-5/2, -5/2], [3, 3]]]], [[1, 14, 4, 4, 1], [v < -2^(1/2), u
= (v^2-1)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[1, 14, 4, 4, 2], [v
< -2^(1/2), u = (v^2-1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-3, -\
3], [741455/262144, 2965821/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[1, 14,
4, 4, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [0, 0],
[0, 0]]]], [[1, 14, 4, 4, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y = 0,
z = 1], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1],
[0, 0], [1, 1]]]], [[1, 14, 4, 4, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1
, y = 0, 1 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[-1, -1], [0, 0], [2, 2]]]], [[1, 16, 3, 1, 1], [v < -2^(1/2), u = -v, And(-1
< x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [
-1/2, -1/2], [-2, -2], [-3, -3]]]], [[1, 16, 3, 1, 2], [v < -2^(1/2), u = -v,
And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3
, 3], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[1, 16,
3, 1, 3], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [-2
, -2], [0, 0]]]], [[1, 16, 3, 1, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 0),
y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2],
[-2, -2], [207243/131072, 1657945/1048576]]]], [[1, 16, 3, 1, 5], [v < -2^(1/2
), u = -v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-\
3, -3], [3, 3], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[1, 21, 11, 7, 1], [v < -2
^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z],
[regular_chain, [[-3, -3], [5, 5], [16, 16], [-1/2, -1/2], [0, 0]]]], [[2, 2,
6, 4, 1], [v = -2^(1/2), u = -2, x = 0, y = 0, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [0, 0], [-1, -1]]]], [[2,
2, 6, 4, 2], [v = -2^(1/2), u = -2, x = 0, y = 0, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [0, 0], [0, 0]]]], [[2, 2,
6, 4, 3], [v = -2^(1/2), u = -2, x = 0, y = 0, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [0, 0], [1, 1]]]], [[2, 9,
6, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, y = 0, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [0,
0], [-1, -1]]]], [[2, 9, 6, 4, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, y
= 0, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2]
, [0, 0], [0, 0], [0, 0]]]], [[2, 9, 6, 4, 3], [v = -2^(1/2), And(-1 < u,u < 0
), x = 0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]], [[2, 11, 3, 5, 1], [v = -2^(1/2), And
(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [15/16, 15/16], [-2, -2]]]], [[2, 11, 3, 5, 2], [v = -2^(1/2), And(0 < u,u <
1), And(u^2-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [15/16, 15/16], [-8122235/8388608, -16244469/16777216]]]], [[2, 11, 3, 5, 3]
, [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [-15/8, -15/8], [15/16, 15/16], [-5/33554432, -5/
33554432]]]], [[2, 11, 3, 5, 4], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 <
x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [15/16, 15/16], [1015279
/1048576, 63455/65536]]]], [[2, 11, 3, 5, 5], [v = -2^(1/2), And(0 < u,u < 1),
And(u^2-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [15/16, 15/16]
, [2, 2]]]], [[2, 17, 3, 6, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^
2+1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [1825597/1048576, 912799/524288], [-1, -1]]]], [[2, 17, 3, 6, 2], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [1825597/1048576, 912799/
524288], [0, 0]]]], [[2, 17, 3, 6, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(-u^2+1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [1825597/1048576, 912799/524288], [1, 1]]]], [[2, 18, 9, 5,
1], [v = -2^(1/2), u = 2, 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-3/2, -3/2], [0, 0]]]],
[[3, 3, 4, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = -1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[2599117/2097152, 2599117/2097152], [0, 0]]]], [[3, 5, 3, 6, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^
2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [367677/524288, 735355/1048576], [-2, -2]]]], [[3, 5, 3, 6, 2]
, [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x
,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [367677/524288, 735355/1048576], [-1530309/
2097152, -382577/524288]]]], [[3, 5, 3, 6, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [367677/524288, 735355/1048576], [0, 0]]]], [[3, 5, 3
, 6, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^
2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [367677/524288, 735355/1048576], [382577/
524288, 765155/1048576]]]], [[3, 5, 3, 6, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [367677/
524288, 735355/1048576], [2, 2]]]], [[3, 11, 3, 7, 1], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [2244985/2097152, 2244985/2097152], [-2, -2]]]], [[3, 11, 3, 7, 2],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [2244985/2097152, 2244985/2097152], [-\
485927/1048576, -242963/524288]]]], [[3, 11, 3, 7, 3], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [2244985/2097152, 2244985/2097152], [0, 0]
]]], [[3, 11, 3, 7, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [2244985/2097152, 
2244985/2097152], [242963/524288, 485927/1048576]]]], [[3, 11, 3, 7, 5], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1)
, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/
4194304, -5390713/4194304], [2244985/2097152, 2244985/2097152], [2, 2]]]], [[3
, 13, 4, 2, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-122559/
262144, -490235/1048576], [-3, -3]]]], [[3, 13, 4, 2, 2], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576
, 1454701/1048576], [-1, -1], [-122559/262144, -490235/1048576], [-1270261/
1048576, -317565/262144]]]], [[3, 13, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-1, -1], [-122559/262144, -490235/1048576
], [0, 0]]]], [[3, 13, 4, 2, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -\
1], [-122559/262144, -490235/1048576], [317565/262144, 1270261/1048576]]]], [[
3, 13, 4, 2, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-122559/
262144, -490235/1048576], [3, 3]]]], [[3, 14, 2, 5, 1], [And(-2^(1/2) < v,v <
-1), u = (v^2+1)^(1/2), x = -2, 2 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [3, 3]
, [0, 0]]]], [[3, 16, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[3,
16, 1, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[3, 16, 1, 2, 3], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [0, 0], [0, 0]]]], [[3, 16, 1, 2, 4]
, [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-4, -4], [0, 0], [2, 2]]]], [[3, 16, 1, 2, 5], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [0, 0], [3, 3]]]], [[4, 4, 3, 2, 1], [v = -1, u = -2^(1/2)
, And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[4
, 4, 3, 2, 2], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/
2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/
2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[4, 4, 3, 2, 3], [v
= -1, u = -2^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2)
)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2
], [-1/2, -1/2], [0, 0]]]], [[4, 4, 3, 2, 4], [v = -1, u = -2^(1/2), And(-2 <
x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/
1048576]]]], [[4, 4, 3, 2, 5], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y =
-x-2, 2^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[4, 6, 1, 4, 1], [v = -1, u =
-1, x < -1, y = -1-x, z < -1], [regular_chain, [[-1, -1], [-1, -1], [-2, -2],
[1, 1], [-2, -2]]]], [[4, 6, 1, 4, 2], [v = -1, u = -1, x < -1, y = -1-x, z =
-1], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1], [-1, -1]]]], [[4,
6, 1, 4, 3], [v = -1, u = -1, x < -1, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1], [0, 0]]]], [[4, 6, 1, 4,
4], [v = -1, u = -1, x < -1, y = -1-x, z = 1], [regular_chain, [[-1, -1], [-1,
-1], [-2, -2], [1, 1], [1, 1]]]], [[4, 6, 1, 4, 5], [v = -1, u = -1, x < -1, y
= -1-x, 1 < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1, 1], [2, 2]]
]], [[4, 10, 3, 1, 1], [v = -1, u = 1, And(-1 < x,x < 0), y < -1-x, z < -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-2, -2], [-3, -3]]
]], [[4, 10, 3, 1, 2], [v = -1, u = 1, And(-1 < x,x < 0), y < -1-x, z = -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-2, -2], [-3315889
/2097152, -207243/131072]]]], [[4, 10, 3, 1, 3], [v = -1, u = 1, And(-1 < x,x
< 0), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1
, -1], [1, 1], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[4, 10, 3, 1, 4], [v = -1,
u = 1, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [1, 1], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[4,
10, 3, 1, 5], [v = -1, u = 1, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z],
[regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[4, 12,
3, 5, 1], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/
2, -3/2], [3/4, 3/4], [-2, -2]]]], [[4, 12, 3, 5, 2], [v = -1, u = 2^(1/2), 
And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/
2097152, -3632373/4194304]]]], [[4, 12, 3, 5, 3], [v = -1, u = 2^(1/2), And(-2
< x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [3/4
, 3/4], [-1/8388608, -1/8388608]]]], [[4, 12, 3, 5, 4], [v = -1, u = 2^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1
, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [3/4, 3/4], [908093/
1048576, 454047/524288]]]], [[4, 12, 3, 5, 5], [v = -1, u = 2^(1/2), And(-2 <
x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[5, 2,
6, 2, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, y = -3, z < -3^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-3, -3], [-3, -3]]]],
[[5, 2, 6, 2, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, y = -3, z = -
3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-3, -3], [-\
1816187/1048576, -3632373/2097152]]]], [[5, 2, 6, 2, 3], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[5, 2, 6, 2, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0,
y = -3, z = 3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-3
, -3], [908093/524288, 1816187/1048576]]]], [[5, 2, 6, 2, 5], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-3/2, -3/2], [0, 0], [-3, -3], [3, 3]]]], [[5, 4, 3, 7, 1], [And(-1 < v
,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2]
, [3, 3], [0, 0]]]], [[5, 11, 7, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
243021/1048576, 243021/1048576], [-4, -4], [-3, -3]]]], [[5, 11, 7, 1, 2], [
And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2
-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-4, -4], [-\
8141961/4194304, -32567843/16777216]]]], [[5, 11, 7, 1, 3], [And(-1 < v,v < 0)
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2
+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-4, -4
], [-3/33554432, -3/33554432]]]], [[5, 11, 7, 1, 4], [And(-1 < v,v < 0), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [243021/1048576, 243021/1048576], [-4, -4], [1017745/524288, 2035491/
1048576]]]], [[5, 11, 7, 1, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576
, 243021/1048576], [-4, -4], [3, 3]]]], [[5, 13, 3, 9, 1], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [15, 15], [0, 0]]]], [[6
, 5, 7, 3, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(-u^2-x-1 <
y,y < u^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3
/8, -3/8], [-5/8, -5/8], [-2, -2]]]], [[6, 5, 7, 3, 2], [v = 0, And(-1 < u,u <
0), And(u^2-1 < x,x < 0), And(-u^2-x-1 < y,y < u^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-5/8, -5/8], [-1, -1]]]],
[[6, 5, 7, 3, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(-u^2-x-\
1 < y,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-5/8, -5/8], [0, 0]]]], [[6, 5, 7, 3, 4]
, [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(-u^2-x-1 < y,y < u^2-x-\
1), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-\
5/8, -5/8], [1, 1]]]], [[6, 5, 7, 3, 5], [v = 0, And(-1 < u,u < 0), And(u^2-1
< x,x < 0), And(-u^2-x-1 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-5/8, -5/8], [2, 2]]]], [[6, 7, 7, 7, 1]
, [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [3/16, 3/16], [-\
2, -2]]]], [[6, 7, 7, 7, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), 
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-\
3/8, -3/8], [3/16, 3/16], [-454047/1048576, -227023/524288]]]], [[6, 7, 7, 7,
3], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8,
-3/8], [3/16, 3/16], [0, 0]]]], [[6, 7, 7, 7, 4], [v = 0, And(0 < u,u < 1), 
And(u^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
0, 0], [1/2, 1/2], [-3/8, -3/8], [3/16, 3/16], [227023/524288, 454047/1048576]
]]], [[6, 7, 7, 7, 5], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8
], [3/16, 3/16], [2, 2]]]], [[6, 11, 5, 2, 1], [v = 0, 2^(1/2) < u, And(-1 < x
,x < 0), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [
-1/2, -1/2], [-19/2, -19/2], [-5, -5]]]], [[6, 11, 5, 2, 2], [v = 0, 2^(1/2) <
u, And(-1 < x,x < 0), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [3, 3], [-1/2, -1/2], [-19/2, -19/2], [-3315889/1048576, -207243/65536]]]]
, [[6, 11, 5, 2, 3], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = -u^2-x-1, And
(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1/
2, -1/2], [-19/2, -19/2], [0, 0]]]], [[6, 11, 5, 2, 4], [v = 0, 2^(1/2) < u, 
And(-1 < x,x < 0), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0],
[3, 3], [-1/2, -1/2], [-19/2, -19/2], [207243/65536, 3315889/1048576]]]], [[6,
11, 5, 2, 5], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = -u^2-x-1, (u^2+1)^(1
/2) < z], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-19/2, -19/2], [5, 5
]]]], [[7, 1, 11, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x,
y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [
9, 9], [-20, -20], [-5, -5]]]], [[7, 1, 11, 1, 2], [And(0 < v,v < 1), u < -(v^
2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-20, -20], [-1738867/524288, -\
3477733/1048576]]]], [[7, 1, 11, 1, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
u^2-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-20, -20], [0, 0]]]], [[7, 1, 
11, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-
x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-20, -\
20], [3477733/1048576, 1738867/524288]]]], [[7, 1, 11, 1, 5], [And(0 < v,v < 1
), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-20, -20], [5, 5]]]], [[7, 7, 9
, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x
-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2],
[-7/4, -7/4], [-3, -3]]]], [[7, 7, 9, 2, 2], [And(0 < v,v < 1), And(-v < u,u <
v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-7/4, -7/4], [-146543/131072,
-1172343/1048576]]]], [[7, 7, 9, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v),
And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1
)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-7/4, -7/4], [0,
0]]]], [[7, 7, 9, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1
), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0,
0], [1/2, 1/2], [-7/4, -7/4], [1172343/1048576, 146543/131072]]]], [[7, 7, 9,
2, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1
, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-\
7/4, -7/4], [3, 3]]]], [[7, 9, 9, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2
+1)^(1/2)), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[7,
9, 9, 6, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1)
, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[7, 9, 9, 6, 3], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-\
1/2, -1/2], [1, 1]]]], [[7, 10, 9, 3, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2)
, 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [1172343/1048576, 146543/131072], [2, 2], [-3, -3], [-2, -2]]]], [[7, 10, 9,
3, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072],
[2, 2], [-3, -3], [-1, -1]]]], [[7, 10, 9, 3, 3], [And(0 < v,v < 1), u = (v^2+
1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [-3,
-3], [0, 0]]]], [[7, 10, 9, 3, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x
, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [2, 2], [-3, -3], [1, 1]]]], [[7, 10, 9, 3, 5
], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2,
2], [-3, -3], [2, 2]]]], [[7, 12, 6, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/
2), x = 0, y = 1, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [1,
1], [0, 0]]]], [[8, 4, 9, 7, 1], [v = 1, u = -2^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [1, 1], [0
, 0]]]], [[8, 7, 1, 8, 1], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = -x, z < 0
], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [3, 3], [-1, -1]]]], [[8,
7, 1, 8, 2], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = -x, z = 0], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [3, 3], [0, 0]]]], [[8, 7, 1,
8, 3], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = -x, 0 < z], [regular_chain, [
[1, 1], [-1/2, -1/2], [-3, -3], [3, 3], [1, 1]]]], [[8, 11, 2, 2, 1], [v = 1,
And(1 < u,u < 2^(1/2)), x = -u^2, y = 0, z < -u], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0],
[-3, -3]]]], [[8, 11, 2, 2, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y =
0, z = -u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1527887/1048576, -763943/524288], [0, 0], [-1265743/1048576, -1265743/1048576]
]]], [[8, 11, 2, 2, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 0, And(-
u < z,z < u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1527887/1048576, -763943/524288], [0, 0], [0, 0]]]], [[8, 11, 2, 2, 4], [v = 1
, And(1 < u,u < 2^(1/2)), x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0],
[1265743/1048576, 1265743/1048576]]]], [[8, 11, 2, 2, 5], [v = 1, And(1 < u,u
< 2^(1/2)), x = -u^2, y = 0, u < z], [regular_chain, [[1, 1], [1265743/1048576
, 1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0], [3, 3]]]], [[8
, 13, 1, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-4, -4], [5793651/2097152, 5793651/2097152], [-3, -3]]]], [
[8, 13, 1, 5, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-4, -4], [5793651/2097152, 5793651/2097152], [-1166407/
1048576, -583203/524288]]]], [[8, 13, 1, 5, 3], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), x < -u^2, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [
5793651/2097152, 5793651/2097152], [0, 0]]]], [[8, 13, 1, 5, 4], [v = 1, And(2
^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [
5793651/2097152, 5793651/2097152], [583203/524288, 1166407/1048576]]]], [[8, 
13, 1, 5, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-4, -4], [5793651/2097152, 5793651/2097152], [3, 3]]]], [[9, 3, 2,
6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -\
2599117/1048576], [3101083/1048576, 775271/262144], [0, 0]]]], [[9, 5, 1, 9, 1
], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, -x
< y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [4, 4], [0, 0]]]], [[9, 11, 10, 5, 1], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 <
y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [-2547523/2097152, -\
2547523/2097152], [-2, -2]]]], [[9, 11, 10, 5, 2], [And(1 < v,v < 2^(1/2)), 
And((v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [-2547523/2097152, -2547523/2097152], [-485927/
1048576, -242963/524288]]]], [[9, 11, 10, 5, 3], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [-2547523/2097152, -2547523/2097152],
[0, 0]]]], [[9, 11, 10, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,
u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[-2547523/2097152, -2547523/2097152], [242963/524288, 485927/1048576]]]], [[9,
11, 10, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, 
And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-2547523
/2097152, -2547523/2097152], [2, 2]]]], [[9, 13, 11, 4, 1], [And(1 < v,v < 2^(
1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576
, 1454701/1048576], [2, 2], [-5310985/2097152, -663873/262144], [-2, -2]]]], [
[9, 13, 11, 4, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 <
x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
5310985/2097152, -663873/262144], [-765155/1048576, -1530309/2097152]]]], [[9,
13, 11, 4, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y
= u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [-5310985/2097152, -663873/262144], [-1/4194304, -1/4194304]
]]], [[9, 13, 11, 4, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2))
, 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
5310985/2097152, -663873/262144], [382577/524288, 765155/1048576]]]], [[9, 13,
11, 4, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = u
^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-5310985/
2097152, -663873/262144], [2, 2]]]], [[10, 2, 3, 5, 1], [v = 2^(1/2), u = -2,
And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [1, 1], [-2, -2]]]], [[10
, 2, 3, 5, 2], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2],
[-2, -2], [1, 1], [-1, -1]]]], [[10, 2, 3, 5, 3], [v = 2^(1/2), u = -2, And(-3
< x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [1, 1],
[0, 0]]]], [[10, 2, 3, 5, 4], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-2, -2], [1, 1], [1, 1]]]], [[10, 2, 3, 5, 5], [v = 2^(1/
2), u = -2, And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [1, 1],
[2, 2]]]], [[10, 3, 11, 8, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x,
y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [2, 2], [0, 0], [0, 0]]]], [[10, 8, 1, 2, 1], [v =
2^(1/2), u = -1, x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-3, -3], [0, 0], [-3, -3]]]], [[10, 8, 1,
2, 2], [v = 2^(1/2), u = -1, x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [0, 0], [-1816187/
1048576, -3632373/2097152]]]], [[10, 8, 1, 2, 3], [v = 2^(1/2), u = -1, x < -2
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-1, -1], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [
[10, 8, 1, 2, 4], [v = 2^(1/2), u = -1, x < -2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [0, 0],
[908093/524288, 1816187/1048576]]]], [[10, 8, 1, 2, 5], [v = 2^(1/2), u = -1,
x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-3, -3], [0, 0], [3, 3]]]], [[10, 9, 11, 5, 1], [v = 2^(1
/2), And(-1 < u,u < 0), 1 < x, And(-x < y,y < -u^2-x+1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-13/8
, -13/8], [0, 0]]]], [[10, 15, 9, 4, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(0 < x,x < 1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-\
1075059/1048576, -537529/524288], [-2, -2]]]], [[10, 15, 9, 4, 2], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = u^2-x-3, z = -(-u^2+3)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097
/2097152], [1/2, 1/2], [-1075059/1048576, -537529/524288], [-1519901/2097152,
-379975/524288]]]], [[10, 15, 9, 4, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(0 < x,x < 1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-1075059/1048576, -537529/524288], [0, 0]]]], [[10, 15,
9, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = u^2-x-3,
z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1/2, 1/2], [-1075059/1048576, -537529/
524288], [379975/524288, 759951/1048576]]]], [[10, 15, 9, 4, 5], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-1075059/1048576, -537529/524288], [2, 2]]]], [[10, 17,
8, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, And(-u^2+3 < y,y <
0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-505467/2097152,
-505467/2097152], [0, 0]]]], [[10, 18, 6, 2, 1], [v = 2^(1/2), u = 2, x = 0, y
= -3, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2]
, [0, 0], [-3, -3], [-3, -3]]]], [[10, 18, 6, 2, 2], [v = 2^(1/2), u = 2, x =
0, y = -3, z = -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
2, 2], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 18, 6,
2, 3], [v = 2^(1/2), u = 2, x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [-3, -3], [-\
1/4194304, -1/4194304]]]], [[10, 18, 6, 2, 4], [v = 2^(1/2), u = 2, x = 0, y =
-3, z = 3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [
0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[10, 18, 6, 2, 5], [v =
2^(1/2), u = 2, x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [2, 2], [0, 0], [-3, -3], [3, 3]]]], [[11, 1, 3, 7, 1], [2^(
1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v
^2-x-1), z = z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [33/2, 33/2], [0
, 0]]]], [[11, 7, 1, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x <
u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[11, 7, 1, 2, 2], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0, 0
], [-1816187/1048576, -3632373/2097152]]]], [[11, 7, 1, 2, 3], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 7, 1, 2, 4], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0, 0]
, [908093/524288, 1816187/1048576]]]], [[11, 7, 1, 2, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain
, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0, 0], [3, 3]]]],
[[11, 8, 9, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [2, 2], [-3, -3], [-2, -2]]]], [[11, 8, 9, 3, 2], [2^(1/2) < v, u =
-(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [-3, -3
], [-1, -1]]]], [[11, 8, 9, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, 
And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [-3, -3], [0, 0]]]],
[[11, 8, 9, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [2, 2], [-3, -3], [1, 1]]]], [[11, 8, 9, 3, 5], [2^(1/2) < v, u = -(
v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [-3, -3], [2, 2]]]], [
[11, 12, 4, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 1),
z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1
, -1], [1/2, 1/2], [-2, -2]]]], [[11, 12, 4, 5, 2], [2^(1/2) < v, u = (v^2-2)^
(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455
/1048576]]]], [[11, 12, 4, 5, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And
(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3]
, [2774271/1048576, 10837/4096], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11, 12, 4,
5, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1
/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[11, 12, 4, 5, 5], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3
, 3], [2774271/1048576, 10837/4096], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 14
, 2, 1, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [-1, -1],
[-3, -3]]]], [[11, 14, 2, 1, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, y <
0, z = -(2-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576
], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[11, 14, 2, 1
, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z <
(2-y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2,
-2], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 14, 2, 1, 4], [2^(1/2) < v,
u = (v^2-1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/
1048576]]]], [[11, 14, 2, 1, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, y <
0, (2-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576]
, [-2, -2], [-1, -1], [3, 3]]]], [[11, 20, 1, 3, 1], [2^(1/2) < v, u = (v^2+2)
^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[11
, 20, 1, 3, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3),
z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288]
, [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[11, 20, 1, 3,
3], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-4, -4], [1/2, 1/2], [0, 0]]]], [[11, 20, 1, 3, 4], [2^(1/2)
< v, u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [1/2, 1/2
], [980853/524288, 1961707/1048576]]]], [[11, 20, 1, 3, 5], [2^(1/2) < v, u =
(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [1/2, 1/2], [3, 3]]]], [
[11, 21, 9, 6, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
y = 0, z = z], [regular_chain, [[3, 3], [5, 5], [8, 8], [0, 0], [0, 0]]]], [[1
, 3, 11, 6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 <
x, y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [2, 2], [-394777/262144, -3158215/2097152], [0, 0]]]], [[1,
5, 10, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2
-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072
, -403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304], [-2, -2]]]],
[[1, 5, 10, 5, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^
2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304], [-\
527729/1048576, -1055457/2097152]]]], [[1, 5, 10, 5, 3], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [1, 1], [-5256689/4194304, -5256689/4194304], [-1/4194304, -1/4194304
]]]], [[1, 5, 10, 5, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1,
And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304],
[32983/65536, 527729/1048576]]]], [[1, 5, 10, 5, 5], [v < -2^(1/2), And(-(v^2+
1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-5256689/
4194304, -5256689/4194304], [2, 2]]]], [[1, 11, 8, 6, 1], [v < -2^(1/2), And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[
-3, -3], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[1, 13, 5, 5, 1], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1, 13, 5, 5, 2], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[1, 13, 5, 5, 3], [v < -2
^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 13
, 5, 5, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1,
13, 5, 5, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1
< x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 17,
6, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-33112529
/67108864, -33112529/67108864], [-2, -2]]]], [[1, 17, 6, 3, 2], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z =
-(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-531193/1048576, -1062385/2097152], [-33112529/67108864, -33112529/
67108864], [-34359738247/34359738368, -281474975719423/281474976710656]]]], [[
1, 17, 6, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^
(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/
1048576, -1062385/2097152], [-33112529/67108864, -33112529/67108864], [-\
267444223/562949953421312, -267444223/562949953421312]]]], [[1, 17, 6, 3, 4],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2
< y,y < 0), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [-33112529/
67108864, -33112529/67108864], [1048575/1048576, 1]]]], [[1, 17, 6, 3, 5], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y
,y < 0), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-531193/1048576, -1062385/2097152], [-33112529/67108864, -\
33112529/67108864], [2, 2]]]], [[1, 19, 5, 2, 1], [v < -2^(1/2), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
1/2, -1/2], [-267636247/134217728, -133818123/67108864], [-3, -3]]]], [[1, 19,
5, 2, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,
x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -\
133818123/67108864], [-1655969/1048576, -3311937/2097152]]]], [[1, 19, 5, 2, 3
], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0),
y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
267636247/134217728, -133818123/67108864], [-1/4194304, -1/4194304]]]], [[1, 
19, 5, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1
< x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -\
133818123/67108864], [51749/32768, 1655969/1048576]]]], [[1, 19, 5, 2, 5], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -
u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -133818123/
67108864], [3, 3]]]], [[2, 3, 6, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)
), x = 0, u^2-3 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [0, 0], [2, 2], [0, 0]]]], [[2,
5, 5, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y
= u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [248903/1048576, 31113/131072], [-2, -2]]]], [[2, 5, 5, 6, 2], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = u^2-x-3, z = -(-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [248903/
1048576, 31113/131072], [-379975/524288, -1519899/2097152]]]], [[2, 5, 5, 6, 3
], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = u^2-x-3,
And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [248903/1048576, 31113/131072], [-1/4194304, -1/
4194304]]]], [[2, 5, 5, 6, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1
< x,x < u^2-3), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [248903/1048576, 31113/131072], [759949/1048576, 
379975/524288]]]], [[2, 5, 5, 6, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), 
And(-1 < x,x < u^2-3), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [248903/1048576, 31113/131072], [2, 2]]]], [
[2, 6, 4, 5, 1], [v = -2^(1/2), u = v, x = 0, 0 < y, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0]
, [1, 1], [0, 0]]]], [[2, 8, 5, 2, 1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0
), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[2, 8, 5, 2, 2], [v = -
2^(1/2), u = -1, And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[2, 8, 5, 2, 3], [v = -2^(1/2), u = -1,
And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [0,
0]]]], [[2, 8, 5, 2, 4], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y = -x-2, z
= 2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1
/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[2, 8, 5, 2, 5]
, [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-\
3/2, -3/2], [3, 3]]]], [[2, 13, 11, 8, 1], [v = -2^(1/2), And(1 < u,u < -v), 1
< x, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[2, 16, 1, 3, 1
], [v = -2^(1/2), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187
/1048576], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[2, 16, 1, 3, 2], [v = -2^(1/2)
, u = 3^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3,
-3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[2, 16, 1, 3, 3], [v
= -2^(1/2), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093
/524288, 1816187/1048576], [-3, -3], [1/2, 1/2], [0, 0]]]], [[2, 16, 1, 3, 4],
[v = -2^(1/2), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[2, 16,
1, 3, 5], [v = -2^(1/2), u = 3^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[2, 19, 9, 5, 1], [v = -2^
(1/2), 2 < u, And(1 < x,x < u^2-3), And(-x < y,y < 0), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-7/4, -7/4], [0, 0]]
]], [[3, 2, 4, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y
= 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297
/2097152, -7798593/4194304], [-1, -1], [0, 0], [-2, -2]]]], [[3, 2, 4, 4, 2],
[And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [0, 0], [-1, -1]]]], [[3, 2, 4, 4, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [0, 0], [0, 0]]]], [[3, 2, 4, 4, 4], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [0, 0], [1, 1]]]], [[3, 2, 4, 4, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2
+2)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [0, 0], [2, 2]]]],
[[3, 8, 3, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/2, -1/2], [-3,
-3]]]], [[3, 8, 3, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-\
2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/2, -1/
2], [-1482911/1048576, -741455/524288]]]], [[3, 8, 3, 2, 3], [And(-2^(1/2) < v
,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[3, 8, 3, 2,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-\
2, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/2, -1/2], [741455/524288,
1482911/1048576]]]], [[3, 8, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2],
[-1/2, -1/2], [3, 3]]]], [[3, 10, 1, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^
2-1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1],
[-3, -3]]]], [[3, 10, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1], [-1482911/1048576
, -741455/524288]]]], [[3, 10, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1
)^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3],
[1, 1], [0, 0]]]], [[3, 10, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(
1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1], [741455/
524288, 1482911/1048576]]]], [[3, 10, 1, 4, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [1, 1],
[3, 3]]]], [[3, 17, 1, 5, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [12013647/2097152
, 12013647/2097152], [-4, -4]]]], [[3, 17, 1, 5, 2], [And(-2^(1/2) < v,v < -1)
, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10,
-10], [12013647/2097152, 12013647/2097152], [-2167143/1048576, -1083571/524288
]]]], [[3, 17, 1, 5, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^
2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10],
[12013647/2097152, 12013647/2097152], [0, 0]]]], [[3, 17, 1, 5, 4], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [-10, -10], [12013647/2097152, 12013647/2097152], [1083571/524288, 
2167143/1048576]]]], [[3, 17, 1, 5, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [
12013647/2097152, 12013647/2097152], [4, 4]]]], [[4, 1, 7, 4, 1], [v = -1, u <
-3^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1, -1], [-3, -3
], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[4, 1, 7, 4, 2], [v = -1, u < -3^(1
/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1, -1], [-3, -3], [1
/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 1, 7, 4, 3], [v = -1, u < -3^(1/2), 
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1
/2], [-1/2, -1/2], [1, 1]]]], [[4, 7, 5, 3, 1], [v = -1, And(-1 < u,u < 0), 
And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-9/16, -9/16], [-3, -3]
]]], [[4, 7, 5, 3, 2], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u
^2-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [-5/8, -5/8], [-9/16, -9/16], [-285665/262144, -1142659/1048576]]]], [[4, 7,
5, 3, 3], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y
< 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1
/2, -1/2], [-5/8, -5/8], [-9/16, -9/16], [0, 0]]]], [[4, 7, 5, 3, 4], [v = -1,
And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1
/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-9/16, -9/16], [
1142659/1048576, 285665/262144]]]], [[4, 7, 5, 3, 5], [v = -1, And(-1 < u,u <
0), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [-9/16, -9/16], [3, 3]]]
], [[4, 9, 4, 2, 1], [v = -1, And(0 < u,u < 1), x = -1, y = u^2-1, z < -(-u^2+
2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-3/4, -3/4], [-3,
-3]]]], [[4, 9, 4, 2, 2], [v = -1, And(0 < u,u < 1), x = -1, y = u^2-1, z = -(
-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-3/4, -3/4],
[-10837/8192, -1387135/1048576]]]], [[4, 9, 4, 2, 3], [v = -1, And(0 < u,u < 1
), x = -1, y = u^2-1, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-3/4, -3/4], [0, 0]]]], [[4,
9, 4, 2, 4], [v = -1, And(0 < u,u < 1), x = -1, y = u^2-1, z = (-u^2+2)^(1/2)]
, [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-3/4, -3/4], [1387135/
1048576, 10837/8192]]]], [[4, 9, 4, 2, 5], [v = -1, And(0 < u,u < 1), x = -1,
y = u^2-1, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1
], [-3/4, -3/4], [3, 3]]]], [[4, 13, 5, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^
(1/2)), And(-1 < x,x < 0), y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-16565357/8388608, -66261427
/33554432], [-3, -3]]]], [[4, 13, 5, 2, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/
2)), And(-1 < x,x < 0), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-16565357/8388608, -66261427
/33554432], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 5, 2, 3], [v = -\
1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = -u^2-x, And(-u < z,z <
u)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/
2], [-16565357/8388608, -66261427/33554432], [-1/4194304, -1/4194304]]]], [[4,
13, 5, 2, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = -u
^2-x, z = u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
-1/2, -1/2], [-16565357/8388608, -66261427/33554432], [412387/262144, 1649549/
1048576]]]], [[4, 13, 5, 2, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1
< x,x < 0), y = -u^2-x, u < z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1/2, -1/2], [-16565357/8388608, -66261427/33554432], [3, 3
]]]], [[4, 15, 2, 1, 1], [v = -1, 3^(1/2) < u, x = -u^2, y < 0, z < -(u^2-y)^(
1/2)], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [-1, -1], [-5, -5]]]], [[4
, 15, 2, 1, 2], [v = -1, 3^(1/2) < u, x = -u^2, y < 0, z = -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-9, -9], [-1, -1], [-3315889/1048576, -\
207243/65536]]]], [[4, 15, 2, 1, 3], [v = -1, 3^(1/2) < u, x = -u^2, y < 0, 
And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3],
[-9, -9], [-1, -1], [0, 0]]]], [[4, 15, 2, 1, 4], [v = -1, 3^(1/2) < u, x = -u
^2, y < 0, z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [-\
1, -1], [207243/65536, 3315889/1048576]]]], [[4, 15, 2, 1, 5], [v = -1, 3^(1/2
) < u, x = -u^2, y < 0, (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3],
[-9, -9], [-1, -1], [5, 5]]]], [[5, 5, 5, 4, 1], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [0, 0], [-2, -2]]]], [[5, 5, 5, 4, 2], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [-7492423/8388608, -\
3746211/4194304]]]], [[5, 5, 5, 4, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/
2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [0, 0], [-3/8388608, -3/8388608]]]], [[5,
5, 5, 4, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x <
u^2-v^2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [
117069/131072, 936553/1048576]]]], [[5, 5, 5, 4, 5], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [0, 0], [2, 2]]]], [[5, 7, 5, 8, 1], [And(-1 < v,v
< 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [7/8, 7/8], [-1, -1]]]], [
[5, 7, 5, 8, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^
2-1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [7/
8, 7/8], [0, 0]]]], [[5, 7, 5, 8, 3], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [0,
0], [-7/8, -7/8], [7/8, 7/8], [1, 1]]]], [[5, 8, 5, 4, 1], [And(-1 < v,v < 0),
u = -v, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[5, 8, 5, 4, 2], [And(-1 < v,v <
0), u = -v, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[5, 8, 5, 4, 3], [And(-1 < v,
v < 0), u = -v, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2
], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[5, 10, 5, 6, 1], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[1/2, 1/2], [-1, -1]]]], [[5, 10, 5, 6, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[5, 10,
5, 6, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, 0
< z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2,
-1/2], [1/2, 1/2], [1, 1]]]], [[6, 2, 8, 1, 1], [v = 0, u = -2^(1/2), x = 1, y
< -4, z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [1, 1], [-5, -5], [-3, -3]]]], [[6, 2, 8, 1, 2], [v = 0, u = -2^(1/2)
, x = 1, y < -4, z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [1, 1], [-5, -5], [-2, -2]]]], [[6, 2, 8, 1, 3], [v
= 0, u = -2^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-5, -5],
[0, 0]]]], [[6, 2, 8, 1, 4], [v = 0, u = -2^(1/2), x = 1, y < -4, z = (-y-1)^(
1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-\
5, -5], [2, 2]]]], [[6, 2, 8, 1, 5], [v = 0, u = -2^(1/2), x = 1, y < -4, (-y-\
1)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1
, 1], [-5, -5], [3, 3]]]], [[6, 4, 6, 1, 1], [v = 0, u = -1, x = 0, y < -2, z
< -(-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-3, -3], [-3, -3]]
]], [[6, 4, 6, 1, 2], [v = 0, u = -1, x = 0, y < -2, z = -(-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 4, 6, 1, 3], [v = 0, u = -1, x = 0, y < -2, And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-3,
-3], [-1/4194304, -1/4194304]]]], [[6, 4, 6, 1, 4], [v = 0, u = -1, x = 0, y <
-2, z = (-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[6, 4, 6, 1, 5], [v = 0, u = -1, x = 0, y
< -2, (-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-3, -3], [3
, 3]]]], [[6, 8, 7, 5, 1], [v = 0, u = 1, And(0 < x,x < 1), And(-x < y,y < 0),
z = z], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]],
[[6, 10, 4, 8, 1], [v = 0, u = 2^(1/2), x = -1, y = 2, z = z], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [2, 2], [0, 0]]]], [[7, 4
, 7, 7, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), 0 < y, z
= z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1
/2], [1, 1], [0, 0]]]], [[7, 6, 6, 4, 1], [And(0 < v,v < 1), u = -v, x = 1, y
= -1, z < 0], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-1, -1], [-1
, -1]]]], [[7, 6, 6, 4, 2], [And(0 < v,v < 1), u = -v, x = 1, y = -1, z = 0],
[regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-1, -1], [0, 0]]]], [[7, 6
, 6, 4, 3], [And(0 < v,v < 1), u = -v, x = 1, y = -1, 0 < z], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [1, 1], [-1, -1], [1, 1]]]], [[7, 13, 6, 5, 1], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2-1), z = z],
[regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [31/8, 31/8], [0, 0]]]], [[8, 2,
1, 8, 1], [v = 1, u = -3^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [-4, -4], [5, 5], [0, 0]]]], [[8, 7,
10, 7, 1], [v = 1, And(-1 < u,u < 0), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 9,
10, 1, 1], [v = 1, And(0 < u,u < 1), x = 1, y < u^2-3, z < -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-4, -4], [-3, -3]]]], [[8, 9, 10,
1, 2], [v = 1, And(0 < u,u < 1), x = 1, y < u^2-3, z = -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 9, 10, 1, 3], [v = 1, And(0 < u,u < 1), x = 1, y < u
^2-3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [1/2,
1/2], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[8, 9, 10, 1, 4], [v = 1
, And(0 < u,u < 1), x = 1, y < u^2-3, z = (-y-1)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[8, 9,
10, 1, 5], [v = 1, And(0 < u,u < 1), x = 1, y < u^2-3, (-y-1)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-4, -4], [3, 3]]]], [[8, 13, 10,
4, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [-1, -1],
[-1, -1]]]], [[8, 13, 10, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1,
y = -1, z = 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
1, 1], [-1, -1], [0, 0]]]], [[8, 13, 10, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [1, 1], [-1, -1], [1, 1]]]], [[8, 15, 7, 7, 1], [v = 1, 3^(1
/2) < u, And(0 < x,x < 1), And(0 < y,y < u^2-x-2), z = z], [regular_chain, [[1
, 1], [3, 3], [1/2, 1/2], [13/4, 13/4], [0, 0]]]], [[9, 5, 10, 8, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [0, 0], [0, 0]]]], [[9, 7, 11, 7, 1], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-1, -1], [0, 0]]]], [[9, 9, 2, 3, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 <
y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [
1288231/1048576, 1288231/1048576], [-3, -3]]]], [[9, 9, 2, 3, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 <
y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [
1288231/1048576, 1288231/1048576], [-290561/262144, -1162243/1048576]]]], [[9,
9, 2, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z <
(-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [-2576463/1048576, -1288231/524288], [1288231/1048576, 1288231/1048576]
, [0, 0]]]], [[9, 9, 2, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [1288231/1048576, 1288231/1048576], [
1162243/1048576, 290561/262144]]]], [[9, 9, 2, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v
^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-2576463/1048576, -1288231/524288], [1288231/1048576, 
1288231/1048576], [3, 3]]]], [[9, 11, 1, 6, 1], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [673839/262144, 2695357/1048576], [-2, -2]]]], [[9,
11, 1, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v
^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [673839
/262144, 2695357/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 11, 1,
6, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y
= -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [673839/262144, 2695357/1048576], [0, 0]]]], [[9, 11, 1, 6
, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [673839/262144,
2695357/1048576], [687203/1048576, 171801/262144]]]], [[9, 11, 1, 6, 5], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = -u^2+v^2-
x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [673839/262144, 2695357/
1048576], [2, 2]]]], [[9, 16, 8, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-5/2, -5
/2], [-3, -3]]]], [[9, 16, 8, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2
), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-5/2, -5/
2], [-1284239/1048576, -642119/524288]]]], [[9, 16, 8, 3, 3], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z
< (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853
/65536, 1949649/1048576], [1, 1], [-5/2, -5/2], [0, 0]]]], [[9, 16, 8, 3, 4],
[And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = (-y
-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536
, 1949649/1048576], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]],
[[9, 16, 8, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, And(-4 <
y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [-5/2, -5/2], [3, 3]]]], [[
10, 1, 5, 6, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [1/2
, 1/2], [-1, -1]]]], [[10, 1, 5, 6, 2], [v = 2^(1/2), u < -2, And(-1 < x,x < 0
), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[10, 1, 5, 6, 3], [v = 2^(1/2), u < -2
, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10, 5, 2, 4, 1], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/262144, 995613/
1048576], [-2, -2]]]], [[10, 5, 2, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), x = -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1546383/
1048576, -773191/524288], [248903/262144, 995613/1048576], [-379975/524288, -\
1519899/2097152]]]], [[10, 5, 2, 4, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1546383/1048576, -773191/524288], [248903/262144, 995613/1048576],
[-1/4194304, -1/4194304]]]], [[10, 5, 2, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [248903/262144, 995613/1048576], [759949/
1048576, 379975/524288]]]], [[10, 5, 2, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [248903/262144, 995613/1048576], [2, 2]]]],
[[10, 7, 3, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), 
And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [853897/2097152, 853897/2097152], [-2, -2]]]], [[10, 7, 3, 5
, 2], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y < -
u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152],
[853897/2097152, 853897/2097152], [-7798595/8388608, -3899297/4194304]]]], [[
10, 7, 3, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(
0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [853897/2097152, 853897/2097152], [-1/
8388608, -1/8388608]]]], [[10, 7, 3, 5, 4], [v = 2^(1/2), And(-v < u,u < -1),
And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/2097152, 853897/
2097152], [121853/131072, 974825/1048576]]]], [[10, 7, 3, 5, 5], [v = 2^(1/2),
And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), (-x-y)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-2666417/2097152, -2666417/2097152], [853897/2097152, 
853897/2097152], [2, 2]]]], [[10, 12, 8, 2, 1], [v = 2^(1/2), u = 1, x = 1, y
= -3, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [1, 1], [-3, -3], [-3, -3]]]], [[10, 12, 8, 2, 2], [v = 2^(1/2), u = 1, x =
1, y = -3, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1, 1], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[10, 12, 8, 2
, 3], [v = 2^(1/2), u = 1, x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [-3, -3], [0
, 0]]]], [[10, 12, 8, 2, 4], [v = 2^(1/2), u = 1, x = 1, y = -3, z = 2^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [-3, -3], [
741455/524288, 1482911/1048576]]]], [[10, 12, 8, 2, 5], [v = 2^(1/2), u = 1, x
= 1, y = -3, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [1, 1], [-3, -3], [3, 3]]]], [[10, 14, 7, 3, 1], [v = 2^(1/2), u = v,
1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-5/2, -5/
2], [-2, -2]]]], [[10, 14, 7, 3, 2], [v = 2^(1/2), u = v, 1 < x, And(-1-x < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [741455/524288, 1482911/1048576], [2, 2], [-5/2, -5/2], [-1482911/2097152, -\
741455/1048576]]]], [[10, 14, 7, 3, 3], [v = 2^(1/2), u = v, 1 < x, And(-1-x <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-5/2, -5/
2], [0, 0]]]], [[10, 14, 7, 3, 4], [v = 2^(1/2), u = v, 1 < x, And(-1-x < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [2, 2], [-5/2, -5/2], [741455/1048576, 46341/
65536]]]], [[10, 14, 7, 3, 5], [v = 2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [2, 2], [-5/2, -5/2], [2, 2]]]], [[11, 2, 1,
4, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1],
[-3, -3]]]], [[11, 2, 1, 4, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y =
-x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-4, -4], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[11, 2,
1, 4, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z
,z < 3^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576],
[-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[11, 2, 1, 4, 4], [2^(1/2) < v
, u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [-4, -4], [1, 1], [908093/524288, 1816187
/1048576]]]], [[11, 2, 1, 4, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y =
-x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-4, -4], [1, 1], [3, 3]]]], [[11, 3, 9, 9, 1], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z = z],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [1, 1], [0, 0]]]], [[11, 9, 9, 4, 1], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x,
z < 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
395403/524288, 395403/524288], [-395403/524288, -395403/524288], [-1, -1]]]],
[[11, 9, 9, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(-u^2+v^2-1 < x,x < 1), y = -x, z = 0], [regular_chain, [[3, 3], [-22960369
/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-395403/524288,
-395403/524288], [0, 0]]]], [[11, 9, 9, 4, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/524288
, 395403/524288], [-395403/524288, -395403/524288], [1, 1]]]], [[11, 11, 6, 5,
1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, And(0 < y,
y < -u^2+v^2-1), z = z], [regular_chain, [[3, 3], [0, 0], [0, 0], [4, 4], [0,
0]]]], [[11, 15, 3, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [2112585/2097152, 2112585/2097152], [-2, -2]]]], [[11, 15, 3,
7, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [2112585/
2097152, 2112585/2097152], [-16263/32768, -520415/1048576]]]], [[11, 15, 3, 7,
3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And
(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [2112585/2097152, 2112585/2097152], [0, 0]]]], [[11, 15, 3, 7,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And
(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [2112585/
2097152, 2112585/2097152], [520415/1048576, 16263/32768]]]], [[11, 15, 3, 7, 5
], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(
-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [2112585/2097152
, 2112585/2097152], [2, 2]]]], [[11, 17, 4, 6, 1], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-1, -1], [517383/1048576, 64673/
131072], [-2, -2]]]], [[11, 17, 4, 6, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^
(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [-1, -1], [517383/1048576, 64673/131072], [-\
373161/524288, -1492643/2097152]]]], [[11, 17, 4, 6, 3], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1, -1], [517383/1048576, 64673/131072], [-1/4194304, -1/4194304]]]], [[11, 17,
4, 6, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1, -1], [517383/1048576, 64673/131072], [746321/1048576, 373161/524288]]]],
[[11, 17, 4, 6, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, y = u^
2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1, -1], [517383/1048576, 64673/131072], [2, 2]]]], [[1, 1, 5
, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [1/
4, 1/4], [-2, -2]]]], [[1, 1, 5, 5, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And
(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [-5, -5], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[1, 1, 5, 5, 3], [v
< -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-1/2,
-1/2], [1/4, 1/4], [0, 0]]]], [[1, 1, 5, 5, 4], [v < -2^(1/2), u < -(v^2+2)^(1
/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-5, -5], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1, 1, 5, 5, 5]
, [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [1/4, 1/4],
[2, 2]]]], [[1, 3, 2, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [
653799/262144, 2615197/1048576], [-1, -1]]]], [[1, 3, 2, 4, 2], [v < -2^(1/2),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z =
0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-2615197
/1048576, -653799/262144], [653799/262144, 2615197/1048576], [0, 0]]]], [[1, 3
, 2, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^
2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [-2615197/1048576, -653799/262144], [653799/262144, 2615197
/1048576], [1, 1]]]], [[1, 9, 2, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [-657547/262144, -5260375/2097152], [2630187/2097152, 2630187/2097152], [-3,
-3]]]], [[1, 9, 2, 3, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(
1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [2630187/2097152, 2630187/2097152], [-1174299/
1048576, -587149/524288]]]], [[1, 9, 2, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u
^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [
-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [
2630187/2097152, 2630187/2097152], [0, 0]]]], [[1, 9, 2, 3, 4], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+
v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [2630187/
2097152, 2630187/2097152], [587149/524288, 1174299/1048576]]]], [[1, 9, 2, 3,
5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1,
And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152],
[2630187/2097152, 2630187/2097152], [3, 3]]]], [[1, 10, 8, 2, 1], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[-3, -3]
, [-5548543/2097152, -2774271/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[1, 10
, 8, 2, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [-4, -\
4], [-1816187/1048576, -3632373/2097152]]]], [[1, 10, 8, 2, 3], [v < -2^(1/2),
u = -(v^2-2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [-4, -\
4], [-1/4194304, -1/4194304]]]], [[1, 10, 8, 2, 4], [v < -2^(1/2), u = -(v^2-2
)^(1/2), x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]
]]], [[1, 10, 8, 2, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, y = -4, 3^(1
/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1,
1], [-4, -4], [3, 3]]]], [[1, 14, 4, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2),
x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[1, 14, 4
, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y
)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1
], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 14, 4, 5, 3], [v <
-2^(1/2), u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 14, 4, 5, 4], [v < -2^(1/2), u = (v^2-1)
^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341
/65536]]]], [[1, 14, 4, 5, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, And(0
< y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 16, 3, 2, 1], [v < -2^
(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-3, -3]
, [3, 3], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[1, 16, 3, 2, 2], [v < -2^
(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[-3, -3]
, [3, 3], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 16, 3, 2, 3], [v < -2^
(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain
, [[-3, -3], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[1, 16, 3, 2, 4],
[v < -2^(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[
-3, -3], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[1, 16, 3, 2, 5], [v
< -2^(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, 1 < z], [regular_chain, [[-3,
-3], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[1, 21, 11, 6, 1], [v < -
2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [-1, -1], [0, 0]]]], [[2, 2, 6, 3,
1], [v = -2^(1/2), u = -2, x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-3/2, -\
3/2], [-3, -3]]]], [[2, 2, 6, 3, 2], [v = -2^(1/2), u = -2, x = 0, And(-3 < y,
y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[2, 2,
6, 3, 3], [v = -2^(1/2), u = -2, x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z
,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -\
2], [0, 0], [-3/2, -3/2], [0, 0]]]], [[2, 2, 6, 3, 4], [v = -2^(1/2), u = -2,
x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/
1048576]]]], [[2, 2, 6, 3, 5], [v = -2^(1/2), u = -2, x = 0, And(-3 < y,y < 0)
, (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -\
2], [0, 0], [-3/2, -3/2], [3, 3]]]], [[2, 9, 6, 5, 1], [v = -2^(1/2), And(-1 <
u,u < 0), x = 0, And(0 < y,y < -u^2+1), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [0, 0], [3/8, 3/8], [0, 0]]]], [[2, 11
, 3, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = -x, z
< 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8,
-15/8], [15/8, 15/8], [-1, -1]]]], [[2, 11, 3, 6, 2], [v = -2^(1/2), And(0 < u
,u < 1), And(u^2-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [15/8, 15/8], [0, 0]]]],
[[2, 11, 3, 6, 3], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y =
-x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
-15/8, -15/8], [15/8, 15/8], [1, 1]]]], [[2, 17, 3, 5, 1], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 
1825597/2097152], [-2, -2]]]], [[2, 17, 3, 5, 2], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 1825597/
2097152], [-7826679/8388608, -3913339/4194304]]]], [[2, 17, 3, 5, 3], [v = -2^
(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [1825597/2097152, 1825597/2097152], [-3/8388608, -3/8388608]
]]], [[2, 17, 3, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,
x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/
2097152, -3651195/2097152], [1825597/2097152, 1825597/2097152], [489167/524288
, 978335/1048576]]]], [[2, 17, 3, 5, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2)
, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [1825597/2097152, 1825597/2097152], [2, 2]
]]], [[2, 18, 9, 4, 1], [v = -2^(1/2), u = 2, 1 < x, y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-2, -2],
[-1, -1]]]], [[2, 18, 9, 4, 2], [v = -2^(1/2), u = 2, 1 < x, y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-2, -2],
[0, 0]]]], [[2, 18, 9, 4, 3], [v = -2^(1/2), u = 2, 1 < x, y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-2, -2],
[1, 1]]]], [[3, 3, 4, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[1550541/1048576, 775271/524288], [0, 0]]]], [[3, 5, 3, 7, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(u^2-
v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [2029049/2097152, 2029049/2097152], [-2, -2]]]], [[3, 5, 3, 7,
2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [2029049/2097152, 2029049/2097152], [-270523/
524288, -1082091/2097152]]]], [[3, 5, 3, 7, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [2029049/2097152, 2029049/2097152], [-1/4194304, -1/
4194304]]]], [[3, 5, 3, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [2029049/2097152
, 2029049/2097152], [541045/1048576, 270523/524288]]]], [[3, 5, 3, 7, 5], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -\
1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [2029049/2097152, 2029049/2097152], [2, 2]]]], [[3, 
11, 3, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^
2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [448653/524288, 897307/1048576], [-2, -2]]
]], [[3, 11, 3, 6, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v
), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [448653/524288, 897307/1048576
], [-1374407/2097152, -687203/1048576]]]], [[3, 11, 3, 6, 3], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+
v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [448653/524288, 897307/1048576], [0, 0]]]]
, [[3, 11, 3, 6, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [448653/524288, 897307/1048576
], [687203/1048576, 171801/262144]]]], [[3, 11, 3, 6, 5], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-
x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [448653/524288, 897307/1048576], [2, 2]]]], [[3, 13, 4, 1, 1], [And(
-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z <
-(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701
/1048576, 1454701/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[3, 13, 4, 1, 2]
, [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v
^2, z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 13, 4, 1, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[3, 13, 4,
1, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -
u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-2, -2], [908093/
524288, 1816187/1048576]]]], [[3, 13, 4, 1, 5], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[3, 14, 2, 4, 1], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2]
, [2, 2], [-1, -1]]]], [[3, 14, 2, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+
1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-2, -2], [2, 2], [0, 0]]]], [[3,
14, 2, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y = 2, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-2, -2], [2, 2], [1, 1]]]], [[3, 16, 1, 1, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), x < -3, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[3, 16, 1, 1, 2], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[3, 16, 1
, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y < 0, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [121853/65536, 1949649/1048576], [-4, -4], [-1, -1], [0, 0]]]], [[3
, 16, 1, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y < 0, z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/
65536]]]], [[3, 16, 1, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
< -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [-1, -1], [4, 4]]]], [[4,
4, 3, 3, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[4, 4, 3, 3, 2], [v = -1, u = -2^
(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-\
1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[4, 4, 3, 3, 3], [v = -1, u =
-2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288],
[-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[4, 4, 3, 3, 4], [v = -1, u = -2^(1/2)
, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/4, -1/4], [
1387135/1048576, 10837/8192]]]], [[4, 4, 3, 3, 5], [v = -1, u = -2^(1/2), And(
-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1,
-1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]]
, [[4, 6, 1, 5, 1], [v = -1, u = -1, x < -1, And(-1-x < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [3/2, 3/2], [-2, -2]]]
], [[4, 6, 1, 5, 2], [v = -1, u = -1, x < -1, And(-1-x < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [3/2, 3/2], [-1482911
/2097152, -741455/1048576]]]], [[4, 6, 1, 5, 3], [v = -1, u = -1, x < -1, And(
-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1, -1], [-1, -1], [-2, -2], [3/2, 3/2], [0, 0]]]], [[4, 6, 1, 5, 4], [v = -1,
u = -1, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-1, -1], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[4, 6,
1, 5, 5], [v = -1, u = -1, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [3/2, 3/2], [2, 2]]]], [[4, 10,
2, 5, 1], [v = -1, u = 1, x = -1, 1 < y, z = z], [regular_chain, [[-1, -1], [1
, 1], [-1, -1], [2, 2], [0, 0]]]], [[4, 12, 3, 4, 1], [v = -1, u = 2^(1/2), 
And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[4, 12, 3
, 4, 2], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [0,
0], [-1284239/1048576, -642119/524288]]]], [[4, 12, 3, 4, 3], [v = -1, u = 2^(
1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [0,
0], [0, 0]]]], [[4, 12, 3, 4, 4], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), y
= 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[4, 12,
3, 4, 5], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [0,
0], [3, 3]]]], [[5, 2, 6, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0
, And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -\
3/2], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[5, 2, 6, 3, 2], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-3/2, -3/2], [-1284239/1048576, -\
642119/524288]]]], [[5, 2, 6, 3, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x
= 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-3/2, -3/2], [0, 0]]]], [[5, 2, 6, 3, 4]
, [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [-3/2, -3/2], [
642119/524288, 1284239/1048576]]]], [[5, 2, 6, 3, 5], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [-3/2, -3/2], [0, 0], [-3/2, -3/2], [3, 3]]]], [[5, 4, 4, 1, 1], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [-\
2, -2], [-3, -3]]]], [[5, 4, 4, 1, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[5, 4, 4, 1, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1,
y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2],
[-146543/131072, -1172343/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[5, 4, 4, 1, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1,
y < -1, z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[5
, 4, 4, 1, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y < -1, (1-y)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[-1, -1], [-2, -2], [3, 3]]]], [[5, 11, 6, 7, 1], [And(-1 < v,v < 0), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, u^2-v^2-1 < y, z = z], [regular_chain
, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [2, 2], [0, 0]]]], [[
5, 13, 3, 8, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x <
-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -\
43/8], [105/8, 105/8], [0, 0]]]], [[6, 5, 7, 4, 1], [v = 0, And(-1 < u,u < 0),
And(u^2-1 < x,x < 0), y = u^2-x-1, z < -(-u^2+1)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-3/8, -3/8], [-3/8, -3/8], [-2, -2]]]], [[6, 5, 7, 4, 2], [
v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = u^2-x-1, z = -(-u^2+1)^(1/
2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-3/8, -3/8], [-\
1816187/2097152, -3632373/4194304]]]], [[6, 5, 7, 4, 3], [v = 0, And(-1 < u,u
< 0), And(u^2-1 < x,x < 0), y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^
(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-3/8, -3/8], [-\
1/8388608, -1/8388608]]]], [[6, 5, 7, 4, 4], [v = 0, And(-1 < u,u < 0), And(u^
2-1 < x,x < 0), y = u^2-x-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1
/2, -1/2], [-3/8, -3/8], [-3/8, -3/8], [908093/1048576, 454047/524288]]]], [[6
, 5, 7, 4, 5], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = u^2-x-1, (
-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-3/8
, -3/8], [2, 2]]]], [[6, 7, 7, 8, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,
x < 0), y = -x, z < 0], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [3/
8, 3/8], [-1, -1]]]], [[6, 7, 7, 8, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 <
x,x < 0), y = -x, z = 0], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [
3/8, 3/8], [0, 0]]]], [[6, 7, 7, 8, 3], [v = 0, And(0 < u,u < 1), And(u^2-1 <
x,x < 0), y = -x, 0 < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [
3/8, 3/8], [1, 1]]]], [[6, 11, 5, 1, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0
), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1/2, -\
1/2], [-11, -11], [-5, -5]]]], [[6, 11, 5, 1, 2], [v = 0, 2^(1/2) < u, And(-1
< x,x < 0), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3],
[-1/2, -1/2], [-11, -11], [-3555895/1048576, -1777947/524288]]]], [[6, 11, 5,
1, 3], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y < -u^2-x-1, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-11, -\
11], [0, 0]]]], [[6, 11, 5, 1, 4], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y <
-u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-\
11, -11], [1777947/524288, 3555895/1048576]]]], [[6, 11, 5, 1, 5], [v = 0, 2^(
1/2) < u, And(-1 < x,x < 0), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [3, 3], [-1/2, -1/2], [-11, -11], [5, 5]]]], [[7, 1, 10, 7, 1], [And(
0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, 0 < y, z = z], [regular_chain
, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [1, 1], [0, 0]]]], [[7, 7, 9, 3, 1], [
And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2,
1/2], [-3/2, -3/2], [-2, -2]]]], [[7, 7, 9, 3, 2], [And(0 < v,v < 1), And(-v <
u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-1, -\
1]]]], [[7, 7, 9, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1
), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]]
, [[7, 7, 9, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [0, 0], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[7, 7, 9, 3, 5], [And(0
< v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+
v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2],
[-3/2, -3/2], [2, 2]]]], [[7, 9, 9, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v
^2+1)^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1
/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]
]]], [[7, 10, 9, 4, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, y = -x, z
< 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [
-2, -2], [-1, -1]]]], [[7, 10, 9, 4, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2),
1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [2, 2], [-2, -2], [0, 0]]]], [[7, 10, 9, 4, 3], [And(0 < v,v < 1), u
= (v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [2, 2], [-2, -2], [1, 1]]]], [[7, 12, 6, 7, 1], [And(
0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[1/2,
1/2], [3/2, 3/2], [0, 0], [2, 2], [0, 0]]]], [[8, 4, 9, 6, 1], [v = 1, u = -2^
(1/2), 1 < x, y = 0, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [2, 2], [0, 0], [0, 0]]]], [[8, 7, 1, 7, 1], [v = 1, And(-1 <
u,u < 0), x < u^2-2, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [23/8, 23/8], [-2, -2]]]], [[8
, 7, 1, 7, 2], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(-u^2-x < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [23/8, 23/8
], [-46341/131072, -370727/1048576]]]], [[8, 7, 1, 7, 3], [v = 1, And(-1 < u,u
< 0), x < u^2-2, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [23/8, 23/8], [0, 0]]]],
[[8, 7, 1, 7, 4], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(-u^2-x < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [23/8, 
23/8], [370727/1048576, 46341/131072]]]], [[8, 7, 1, 7, 5], [v = 1, And(-1 < u
,u < 0), x < u^2-2, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [-1/2, -1/2], [-3, -3], [23/8, 23/8], [2, 2]]]], [[8, 11, 2, 3, 1], [
v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(0 < y,y < 2*u^2-2), z < -(u^2-y)^
(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887
/1048576, -763943/524288], [958621/2097152, 958621/2097152], [-3, -3]]]], [[8,
11, 2, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(0 < y,y < 2*u^2-2)
, z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1527887/1048576, -763943/524288], [958621/2097152, 958621/2097152]
, [-1048577/1048576, -1]]]], [[8, 11, 2, 3, 3], [v = 1, And(1 < u,u < 2^(1/2))
, x = -u^2, And(0 < y,y < 2*u^2-2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [958621/2097152, 958621/2097152], [0, 0]]]], [[8, 11
, 2, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, And(0 < y,y < 2*u^2-2),
z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1527887/1048576, -763943/524288], [958621/2097152, 958621/2097152], [1, 
1048577/1048576]]]], [[8, 11, 2, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -u
^2, And(0 < y,y < 2*u^2-2), (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [958621
/2097152, 958621/2097152], [3, 3]]]], [[8, 13, 1, 6, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), x < -u^2, y = -x, z < 0], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-4, -4], [4, 4], [-1, -1]]]], [[8, 13, 1, 6, 2], [
v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -x, z = 0], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [4, 4], [0, 0]]]], [[8,
13, 1, 6, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -x, 0 < z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [4, 4],
[1, 1]]]], [[9, 3, 2, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [5700201/2097152, 
5700201/2097152], [0, 0]]]], [[9, 5, 1, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [3, 3], [-1, -1]]]], [[9, 5, 1, 8, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2
+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [3, 3], [0, 0]]]], [[9, 5, 1, 8, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1
)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [3
, 3], [1, 1]]]], [[9, 11, 10, 6, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2
) < u,u < v), x = 1, y = -1, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-1, -1], [-1, -1]
]]], [[9, 11, 10, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v)
, x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [1, 1], [-1, -1], [0, 0]]]], [[9, 11, 10, 6,
3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = -1, 0 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [-1, -1], [1, 1]]]], [[9, 13, 11, 5, 1], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [2, 2], [-1188161/524288, -1188161/524288],
[-2, -2]]]], [[9, 13, 11, 5, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1
)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [-1188161/524288, -1188161/524288], [-1082093/2097152, -\
270523/524288]]]], [[9, 13, 11, 5, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-1188161/524288, -1188161/524288], [0, 0]]
]], [[9, 13, 11, 5, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2],
[-1188161/524288, -1188161/524288], [270523/524288, 541047/1048576]]]], [[9, 
13, 11, 5, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, 
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-\
1188161/524288, -1188161/524288], [2, 2]]]], [[10, 2, 3, 4, 1], [v = 2^(1/2),
u = -2, And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-2, -2], [0, 0], [-3, -3]]]], [[10, 2, 3,
4, 2], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [0, 0],
[-1482911/1048576, -741455/524288]]]], [[10, 2, 3, 4, 3], [v = 2^(1/2), u = -2
, And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [0, 0],
[0, 0]]]], [[10, 2, 3, 4, 4], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2],
[-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[10, 2, 3, 4, 5], [v =
2^(1/2), u = -2, And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [0, 0], [3, 3]]]], [[10,
3, 11, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(u^2-x-3 < y,y
< 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [2, 2], [-3183369/4194304, -3183369/4194304], [0,
0]]]], [[10, 8, 1, 3, 1], [v = 2^(1/2), u = -1, x < -2, And(0 < y,y < -x-2), z
< -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-3, -3], [1/2, 1/2], [-3, -3]]]], [[10, 8, 1, 3, 2], [v = 2^(1/2), u = -1, x
< -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1, -1], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243
/131072]]]], [[10, 8, 1, 3, 3], [v = 2^(1/2), u = -1, x < -2, And(0 < y,y < -x
-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-1, -1], [-3, -3], [1/2, 1/2], [0, 0]]]], [[10, 8, 1, 3,
4], [v = 2^(1/2), u = -1, x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [1/2, 1/
2], [207243/131072, 1657945/1048576]]]], [[10, 8, 1, 3, 5], [v = 2^(1/2), u =
-1, x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-3, -3], [1/2, 1/2], [3, 3]]]], [[10, 9,
11, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y = -u^2-x+1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-5/4,
-5/4], [0, 0]]]], [[10, 15, 9, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 
And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-100663315/67108864, -100663315/67108864], [-3, -3]]]],
[[10, 15, 9, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), 
And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-\
100663315/67108864, -100663315/67108864], [-1048577/1048576, -1]]]], [[10, 15,
9, 3, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(-u^2-x+1
< y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2
], [-100663315/67108864, -100663315/67108864], [0, 0]]]], [[10, 15, 9, 3, 4],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u
^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [1/2, 1/2], [-100663315/67108864, -\
100663315/67108864], [1, 1048577/1048576]]]], [[10, 15, 9, 3, 5], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), (-x
-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [-100663315/67108864, -100663315/
67108864], [3, 3]]]], [[10, 17, 8, 4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2)
, x = u^2-3, y = -u^2+3, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144],
[-126367/262144, -505467/1048576], [-1, -1]]]], [[10, 17, 8, 4, 2], [v = 2^(1/
2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/
1048576, 126367/262144], [-126367/262144, -505467/1048576], [0, 0]]]], [[10, 
17, 8, 4, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y = -u^2+3, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/1048576, 126367/262144], [-126367/262144, -505467/
1048576], [1, 1]]]], [[10, 18, 6, 1, 1], [v = 2^(1/2), u = 2, x = 0, y < -3, z
< -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0,
0], [-4, -4], [-3, -3]]]], [[10, 18, 6, 1, 2], [v = 2^(1/2), u = 2, x = 0, y <
-3, z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2
], [0, 0], [-4, -4], [-2, -2]]]], [[10, 18, 6, 1, 3], [v = 2^(1/2), u = 2, x =
0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [0, 0], [-4, -4], [0, 0]]]], [[10, 18, 6, 1,
4], [v = 2^(1/2), u = 2, x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [0, 0], [-4, -4], [2, 2]]]], [[10, 18
, 6, 1, 5], [v = 2^(1/2), u = 2, x = 0, y < -3, (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [-4, -4], [3
, 3]]]], [[11, 1, 3, 6, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 <
x,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [9, 9]
, [-1, -1]]]], [[11, 1, 3, 6, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v
^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [-5, -5], [-9, -9],
[9, 9], [0, 0]]]], [[11, 1, 3, 6, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u
^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [-5, -5], [-9,
-9], [9, 9], [1, 1]]]], [[11, 7, 1, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [
1565147/2097152, 1565147/2097152], [-3, -3]]]], [[11, 7, 1, 3, 2], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1),
z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [1565147/2097152, 1565147/2097152], [-787075/524288, -\
3148299/2097152]]]], [[11, 7, 1, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-3, -3], [1565147/2097152, 1565147/2097152], [-1/4194304, -1/4194304]]]], [[
11, 7, 1, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [1565147/2097152, 1565147/
2097152], [1574149/1048576, 787075/524288]]]], [[11, 7, 1, 3, 5], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), (
-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-3, -3], [1565147/2097152, 1565147/2097152], [3, 3]]]], [[11, 8, 9, 4, 1],
[2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [2, 2], [-2, -2], [-1, -1]]]], [[11
, 8, 9, 4, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, y = -x, z = 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2, 2], [-2, -2
], [0, 0]]]], [[11, 8, 9, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1 < x, y =
-x, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [2
, 2], [-2, -2], [1, 1]]]], [[11, 12, 4, 4, 1], [2^(1/2) < v, u = (v^2-2)^(1/2)
, x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-1, -1], [0, 0], [-2, -2]]]], [[11, 12, 4, 4, 2], [2^(1/2) < v, u = (v
^2-2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[3, 3], [2774271/1048576
, 10837/4096], [-1, -1], [0, 0], [-1, -1]]]], [[11, 12, 4, 4, 3], [2^(1/2) < v
, u = (v^2-2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3
], [2774271/1048576, 10837/4096], [-1, -1], [0, 0], [0, 0]]]], [[11, 12, 4, 4,
4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[
3, 3], [2774271/1048576, 10837/4096], [-1, -1], [0, 0], [1, 1]]]], [[11, 12, 4
, 4, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [0, 0], [2, 2
]]]], [[11, 14, 1, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, -x < y, z =
z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [4, 4
], [0, 0]]]], [[11, 20, 1, 4, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y =
-x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288
], [-4, -4], [1, 1], [-3, -3]]]], [[11, 20, 1, 4, 2], [2^(1/2) < v, u = (v^2+2
)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-4, -4], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[11, 20, 1, 4, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y =
-x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[11,
20, 1, 4, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/2)],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [1, 1],
[908093/524288, 1816187/1048576]]]], [[11, 20, 1, 4, 5], [2^(1/2) < v, u = (v^
2+2)^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-4, -4], [1, 1], [3, 3]]]], [[11, 21, 9, 7, 1], [2^
(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-
x-1), z = z], [regular_chain, [[3, 3], [5, 5], [8, 8], [7/2, 7/2], [0, 0]]]],
[[1, 3, 11, 7, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [-3158215/4194304, -3158215/
4194304], [0, 0]]]], [[1, 5, 10, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,
u < v), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [1, 1], [-1, -1], [-1, -1]]]], [[1, 5, 10, 6, 2], [v < -2^(1/2
), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -1, z = 0], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [1, 1], [-1, -1], [0, 0]]]], [[1, 5, 10
, 6, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -1, 0 < z],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-1, -1],
[1, 1]]]], [[1, 11, 8, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [0, 0],
[1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 13, 5, 4, 1], [v < -2^(1/2), And((v^2-2)
^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[1, 13, 5, 4, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (
v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[1, 13, 5, 4, 3], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1
/2, -1/2], [0, 0], [0, 0]]]], [[1, 13, 5, 4, 4], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[1, 13, 5, 4, 5], [v < -2^(1/2), And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z],
[regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0,
0], [2, 2]]]], [[1, 17, 6, 4, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [0, 0], [-\
2, -2]]]], [[1, 17, 6, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
= u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [0, 0], [-\
373161/524288, -1492643/2097152]]]], [[1, 17, 6, 4, 3], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z <
(-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-531193/1048576, -1062385/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [
[1, 17, 6, 4, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-531193/1048576, -1062385/2097152], [0, 0], [746321/1048576,
373161/524288]]]], [[1, 17, 6, 4, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1
/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [0, 0],
[2, 2]]]], [[1, 19, 5, 3, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
133818123/134217728, -133818123/134217728], [-3, -3]]]], [[1, 19, 5, 3, 2], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-
u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -\
133818123/134217728], [-1282963/1048576, -641481/524288]]]], [[1, 19, 5, 3, 3]
, [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
133818123/134217728, -133818123/134217728], [0, 0]]]], [[1, 19, 5, 3, 4], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^
2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -133818123/
134217728], [641481/524288, 1282963/1048576]]]], [[1, 19, 5, 3, 5], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2
-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -133818123/
134217728], [3, 3]]]], [[2, 3, 6, 6, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x = 0, y = u^2-3, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [0, 0], [505467/1048576, 126367
/262144], [0, 0]]]], [[2, 5, 5, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [248903/2097152, 248903/
2097152], [-2, -2]]]], [[2, 5, 5, 5, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [248903/2097152, 248903/
2097152], [-26295/32768, -3365759/4194304]]]], [[2, 5, 5, 5, 3], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [248903/2097152, 248903/2097152], [-3/8388608, -3/8388608]]]]
, [[2, 5, 5, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2
-3), And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [248903/2097152, 248903/2097152], [841439/1048576,
26295/32768]]]], [[2, 5, 5, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And
(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [248903/2097152, 248903/2097152], [2, 2]]]],
[[2, 6, 5, 1, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, z < -(-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[2, 6, 5, 1, 2],
[v = -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[2, 6,
5, 1, 3], [v = -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1482911/1048576, -741455/524288], [1/2, 1/2], [-3, -3], [0, 0]]]], [[2, 6, 5,
1, 4], [v = -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[2, 6, 5
, 1, 5], [v = -2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-3, -3], [3, 3]]]], [[2, 8, 5, 3, 1], [v = -2^(1/
2), u = -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-\
3/4, -3/4], [-3, -3]]]], [[2, 8, 5, 3, 2], [v = -2^(1/2), u = -1, And(-1 < x,x
< 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-3/4, -3/4], [-146543/
131072, -1172343/1048576]]]], [[2, 8, 5, 3, 3], [v = -2^(1/2), u = -1, And(-1
< x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-\
3/4, -3/4], [0, 0]]]], [[2, 8, 5, 3, 4], [v = -2^(1/2), u = -1, And(-1 < x,x <
0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1, -1], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 
146543/131072]]]], [[2, 8, 5, 3, 5], [v = -2^(1/2), u = -1, And(-1 < x,x < 0),
And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[2, 13, 11,
7, 1], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[2, 16, 1, 2, 1], [v = -2^(1/2), u = 3
^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [0, 0], [-3, -3]]]
], [[2, 16, 1, 2, 2], [v = -2^(1/2), u = 3^(1/2), x < -2, y = 0, z = -(-x)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[2, 16, 1, 2, 3], [v = -2^(1/2), u = 3^(1/2), x < -2, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]]
, [[2, 16, 1, 2, 4], [v = -2^(1/2), u = 3^(1/2), x < -2, y = 0, z = (-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[2,
16, 1, 2, 5], [v = -2^(1/2), u = 3^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3, -3], [0, 0], [3, 3]]]], [[2, 19, 9, 6, 1], [v = -2^(1/2), 2 < u
, And(1 < x,x < u^2-3), y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [7/2, 7/2], [0, 0], [0, 0]]]], [[3, 2, 4, 5, 1], [And(
-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[3, 2, 4, 5, 2
], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z
= -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[3, 2, 4, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^
(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [1/2, 1/2], [0, 0]]]], [[3, 2, 4, 5, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[3
, 2, 4, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(0 <
y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [1/2, 1/2], [2, 2]]]
], [[3, 8, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x
,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-2, -2],
[-3, -3]]]], [[3, 8, 3, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2],
[-2, -2], [-7846825/4194304, -980853/524288]]]], [[3, 8, 3, 1, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-2, -2], [0, 0]]]
], [[3, 8, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x
,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-2, -2],
[980853/524288, 1961707/1048576]]]], [[3, 8, 3, 1, 5], [And(-2^(1/2) < v,v < -\
1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[3, 10, 1, 3, 1], [And(-2^
(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288
, 708939/1048576], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[3, 10, 1, 3, 2], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/
131072]]]], [[3, 10, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x
< -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [1/2, 1/2], [0, 0]]]], [[3, 10, 1, 3, 4], [And(-2^(1/2) <
v,v < -1), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[3, 10,
1, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, And(0 < y,y <
-x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [354469/524288, 708939/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[3, 17,
1, 4, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u
^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10, -10], [763943/524288, 1527887/1048576], [-4, -\
4]]]], [[3, 17, 1, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u
^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [763943/524288, 
1527887/1048576], [-1532401/524288, -24518415/8388608]]]], [[3, 17, 1, 4, 3],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [763943/524288, 
1527887/1048576], [-7/16777216, -7/16777216]]]], [[3, 17, 1, 4, 4], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[-10, -10], [763943/524288, 1527887/1048576], [3064801/1048576, 1532401/524288
]]]], [[3, 17, 1, 4, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^
2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10, -10], [763943/524288, 1527887/
1048576], [4, 4]]]], [[4, 1, 7, 3, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1)
, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3,
-3], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[4, 1, 7, 3, 2], [v = -1, u < -3^(1/2
), And(0 < x,x < 1), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-5, -5], [-1112183/524288, -\
2224365/1048576]]]], [[4, 1, 7, 3, 3], [v = -1, u < -3^(1/2), And(0 < x,x < 1)
, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-5, -5], [0, 0]]]], [[4, 1, 7
, 3, 4], [v = -1, u < -3^(1/2), And(0 < x,x < 1), And(-u^2-x < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-5, -5], [
2224365/1048576, 1112183/524288]]]], [[4, 1, 7, 3, 5], [v = -1, u < -3^(1/2),
And(0 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[-1, -1], [-3, -3], [1/2, 1/2], [-5, -5], [4, 4]]]], [[4, 7, 5, 4, 1], [v = -1
, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [-2, -2]]]], [[4
, 7, 5, 4, 2], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = 0, z = -(
-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [-\
3315889/4194304, -207243/262144]]]], [[4, 7, 5, 4, 3], [v = -1, And(-1 < u,u <
0), And(-1 < x,x < -u^2), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [0, 0]]]], [[4,
7, 5, 4, 4], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = 0, z = (-x)
^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [
207243/262144, 828973/1048576]]]], [[4, 7, 5, 4, 5], [v = -1, And(-1 < u,u < 0
), And(-1 < x,x < -u^2), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [-5/8, -5/8], [0, 0], [2, 2]]]], [[4, 9, 4, 3, 1], [v = -1, And(0
< u,u < 1), x = -1, And(u^2-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [
[-1, -1], [1/2, 1/2], [-1, -1], [-3/8, -3/8], [-3, -3]]]], [[4, 9, 4, 3, 2], [
v = -1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-3/8, -3/8], [-1229565/
1048576, -307391/262144]]]], [[4, 9, 4, 3, 3], [v = -1, And(0 < u,u < 1), x =
-1, And(u^2-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-3/8, -3/8], [0, 0]]]], [[4,
9, 4, 3, 4], [v = -1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < 0), z = (1-y
)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-3/8, -3/8], [
307391/262144, 1229565/1048576]]]], [[4, 9, 4, 3, 5], [v = -1, And(0 < u,u < 1
), x = -1, And(u^2-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1, -1],
[1/2, 1/2], [-1, -1], [-3/8, -3/8], [3, 3]]]], [[4, 13, 5, 1, 1], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y < -u^2-x, z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [
-3, -3], [-3, -3]]]], [[4, 13, 5, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2))
, And(-1 < x,x < 0), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-3, -3], [-7846825/
4194304, -980853/524288]]]], [[4, 13, 5, 1, 3], [v = -1, And(2^(1/2) < u,u < 3
^(1/2)), And(-1 < x,x < 0), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2
], [-3, -3], [0, 0]]]], [[4, 13, 5, 1, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2
)), And(-1 < x,x < 0), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-3, -3], [980853/524288,
1961707/1048576]]]], [[4, 13, 5, 1, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(-1 < x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[4, 15,
1, 9, 1], [v = -1, 3^(1/2) < u, x < -u^2, u^2-x-2 < y, z = z], [regular_chain,
[[-1, -1], [3, 3], [-10, -10], [18, 18], [0, 0]]]], [[5, 5, 5, 5, 1], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(0 <
y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [
106039/1048576, 106039/1048576], [-2, -2]]]], [[5, 5, 5, 5, 2], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y <
u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/
1048576, 106039/1048576], [-3500723/4194304, -1750361/2097152]]]], [[5, 5, 5,
5, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v
^2-1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [-1/4194304, -1/
4194304]]]], [[5, 5, 5, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995
/2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [218795/262144,
875181/1048576]]]], [[5, 5, 5, 5, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [2, 2]]]
], [[5, 7, 5, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8],
[2, 2], [0, 0]]]], [[5, 8, 5, 3, 1], [And(-1 < v,v < 0), u = -v, And(0 < x,x <
1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[5, 8, 5, 3, 2], [And(-1 < v,v
< 0), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-1, -1], [-1482911/
2097152, -741455/1048576]]]], [[5, 8, 5, 3, 3], [And(-1 < v,v < 0), u = -v, 
And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-1, -1], [0, 0]]]]
, [[5, 8, 5, 3, 4], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), And(-1-x < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2,
1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [[5, 8, 5, 3, 5], [And(-1 <
v,v < 0), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-1, -1], [2, 2]]]], [[5
, 10, 5, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[5, 10, 5, 5,
2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543
/131072], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[5, 10, 5, 5, 3], [And(-\
1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[5, 10, 5, 5, 4
], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[5, 10, 5, 5, 5], [And(-1 <
v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2
, -1/2], [1/4, 1/4], [2, 2]]]], [[6, 2, 8, 2, 1], [v = 0, u = -2^(1/2), x = 1,
y = -4, z < -3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [1, 1], [-4, -4], [-3, -3]]]], [[6, 2, 8, 2, 2], [v = 0, u = -2^(1/2)
, x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[6
, 2, 8, 2, 3], [v = 0, u = -2^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/
2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-4
, -4], [-1/4194304, -1/4194304]]]], [[6, 2, 8, 2, 4], [v = 0, u = -2^(1/2), x
= 1, y = -4, z = 3^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455
/524288], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[6, 2, 8, 2,
5], [v = 0, u = -2^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[0, 0]
, [-1482911/1048576, -741455/524288], [1, 1], [-4, -4], [3, 3]]]], [[6, 4, 6,
2, 1], [v = 0, u = -1, x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [0, 0], [-2, -2], [-3, -3]]]], [[6, 4, 6, 2, 2], [v = 0, u = -1, x =
0, y = -2, z = -2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-2, -2],
[-1482911/1048576, -741455/524288]]]], [[6, 4, 6, 2, 3], [v = 0, u = -1, x = 0
, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [-1, -1], [
0, 0], [-2, -2], [0, 0]]]], [[6, 4, 6, 2, 4], [v = 0, u = -1, x = 0, y = -2, z
= 2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[6, 4, 6, 2, 5], [v = 0, u = -1, x = 0, y = -2,
2^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [-2, -2], [3, 3]]]],
[[6, 8, 7, 4, 1], [v = 0, u = 1, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[6, 8,
7, 4, 2], [v = 0, u = 1, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[0
, 0], [1, 1], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[6, 8, 7, 4, 3], [v = 0, u
= 1, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[0, 0], [1, 1], [1/2,
1/2], [-1/2, -1/2], [1, 1]]]], [[6, 10, 4, 7, 1], [v = 0, u = 2^(1/2), x = -1,
And(1 < y,y < 2), z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [3/2, 3/2], [0, 0]]]], [[7, 4, 8, 1, 1], [And(0 < v,v < 1)
, u = -(v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[1/2
, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[7
, 4, 8, 1, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, y < -3, z = -(-y-\
1)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1
, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[7, 4, 8, 1, 3], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576
], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[7, 4, 8, 1, 4], [And(0 < v
,v < 1), u = -(v^2+1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [-4, -4], [908093/
524288, 1816187/1048576]]]], [[7, 4, 8, 1, 5], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-4, -4], [3, 3]]]], [[7, 6, 6, 5, 1
], [And(0 < v,v < 1), u = -v, x = 1, And(-1 < y,y < 0), z = z], [regular_chain
, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-1/2, -1/2], [0, 0]]]], [[7, 13, 6, 6, 1
], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, y = u^2-v^2-1, z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [31/4, 31/4], [0, 0]]]], [[8, 2, 1
, 9, 1], [v = 1, u = -3^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[1, 1
], [-1816187/1048576, -3632373/2097152], [-4, -4], [6, 6], [0, 0]]]], [[8, 7,
10, 6, 1], [v = 1, And(-1 < u,u < 0), x = 1, y = -1, z < 0], [regular_chain, [
[1, 1], [-1/2, -1/2], [1, 1], [-1, -1], [-1, -1]]]], [[8, 7, 10, 6, 2], [v = 1
, And(-1 < u,u < 0), x = 1, y = -1, z = 0], [regular_chain, [[1, 1], [-1/2, -1
/2], [1, 1], [-1, -1], [0, 0]]]], [[8, 7, 10, 6, 3], [v = 1, And(-1 < u,u < 0)
, x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-1, -\
1], [1, 1]]]], [[8, 9, 9, 9, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), 0
< y, z = z], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0]]]
], [[8, 13, 10, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(-1 < y
,y < u^2-3), z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [1, 1], [-3198693/4194304, -3198693/4194304], [0, 0]]]], [[8, 15, 7,
8, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = u^2-x-2, z = z], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [13/2, 13/2], [0, 0]]]], [[9, 5, 
10, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And
(-1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [1, 1], [-1/2, -1/2], [0, 0]]]], [[9, 7,
11, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y =
-x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-2, -2], [-1, -1]]]], [[9, 7, 11, 6, 2],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -x, z = 0]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2, -2], [0, 0]]]], [[9, 7, 11, 6, 3], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-2, -2], [1, 1]]]], [[9, 9, 2, 4, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2
+v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
-2576463/1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [-1, -1
]]]], [[9, 9, 2, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [
1288231/524288, 2576463/1048576], [0, 0]]]], [[9, 9, 2, 4, 3], [And(1 < v,v <
2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v
^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [1, 1]]]
], [[9, 11, 1, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
< u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3
], [5841085/2097152, 5841085/2097152], [-2, -2]]]], [[9, 11, 1, 7, 2], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [5841085/2097152, 
5841085/2097152], [-485927/1048576, -242963/524288]]]], [[9, 11, 1, 7, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(-u^2+
v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3
], [5841085/2097152, 5841085/2097152], [0, 0]]]], [[9, 11, 1, 7, 4], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [5841085/2097152, 
5841085/2097152], [242963/524288, 485927/1048576]]]], [[9, 11, 1, 7, 5], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-
x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-3, -3], [5841085/2097152, 
5841085/2097152], [2, 2]]]], [[9, 16, 8, 2, 1], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-4, -4], [-3, -3]]
]], [[9, 16, 8, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, y =
-4, z = -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/
2097152]]]], [[9, 16, 8, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x
= 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-4, -4], [-1/
4194304, -1/4194304]]]], [[9, 16, 8, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+
2)^(1/2), x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-4, -4], [908093/
524288, 1816187/1048576]]]], [[9, 16, 8, 2, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-4, -4], [3, 3]]]]
, [[10, 1, 5, 5, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[10, 1, 5, 5, 2], [v = 2^(1/2), u
< -2, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2
, -1/2]]]], [[10, 1, 5, 5, 3], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]]
, [[10, 1, 5, 5, 4], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 1, 5, 5, 5], [v = 2^(1/2),
u < -2, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [1/4
, 1/4], [2, 2]]]], [[10, 5, 2, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [2541995/2097152, 2541995/2097152], [-2, -2]
]]], [[10, 5, 2, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, 
And(2*u^2-4 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1546383/
1048576, -773191/524288], [2541995/2097152, 2541995/2097152], [-268683/524288,
-1074731/2097152]]]], [[10, 5, 2, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y
-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [2541995/
2097152, 2541995/2097152], [-1/4194304, -1/4194304]]]], [[10, 5, 2, 5, 4], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z
= (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [
2541995/2097152, 2541995/2097152], [537365/1048576, 268683/524288]]]], [[10, 5
, 2, 5, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, And(2*u^2-4 <
y,y < u^2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/
524288], [2541995/2097152, 2541995/2097152], [2, 2]]]], [[10, 7, 3, 6, 1], [v
= 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+1, z < -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [853897/
1048576, 426949/524288], [-2, -2]]]], [[10, 7, 3, 6, 2], [v = 2^(1/2), And(-v
< u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/1048576, 426949/524288
], [-1417877/2097152, -354469/524288]]]], [[10, 7, 3, 6, 3], [v = 2^(1/2), And
(-v < u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z
< (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [0, 0]]]], [[10, 7, 3, 6, 4], [v = 2^(1/2), 
And(-v < u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/1048576, 426949/524288
], [354469/524288, 708939/1048576]]]], [[10, 7, 3, 6, 5], [v = 2^(1/2), And(-v
< u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/1048576, 426949/524288
], [2, 2]]]], [[10, 12, 8, 1, 1], [v = 2^(1/2), u = 1, x = 1, y < -3, z < -(-y
-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1],
[-4, -4], [-3, -3]]]], [[10, 12, 8, 1, 2], [v = 2^(1/2), u = 1, x = 1, y < -3,
z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 8, 1, 3],
[v = 2^(1/2), u = 1, x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [-4, -4], [
-1/4194304, -1/4194304]]]], [[10, 12, 8, 1, 4], [v = 2^(1/2), u = 1, x = 1, y
< -3, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[10, 12, 8, 1, 5
], [v = 2^(1/2), u = 1, x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [1, 1], [-4, -4], [3, 3]]]], [[10, 14
, 7, 2, 1], [v = 2^(1/2), u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-3
, -3], [-2, -2]]]], [[10, 14, 7, 2, 2], [v = 2^(1/2), u = v, 1 < x, y = -1-x,
z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[10, 14, 7, 2, 3], [v = 2^(1
/2), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-3, -3],
[0, 0]]]], [[10, 14, 7, 2, 4], [v = 2^(1/2), u = v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [1, 1]]]], [[10, 14, 7, 2, 5], [v = 2^(1/2), u = v
, 1 < x, y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [2, 2], [-3, -3], [2, 2]]]], [[11, 2, 1, 3,
1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4
], [1/2, 1/2], [-3, -3]]]], [[11, 2, 1, 3, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2
), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
-1738867/524288, -3477733/1048576], [-4, -4], [1/2, 1/2], [-7846825/4194304, -\
980853/524288]]]], [[11, 2, 1, 3, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3
, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [1/2, 1
/2], [0, 0]]]], [[11, 2, 1, 3, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, 
And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/
1048576]]]], [[11, 2, 1, 3, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, And(
0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288,
-3477733/1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[11, 3, 9, 8, 1], [2^(1/2
) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y
= 0, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [
1566621/2097152, 1566621/2097152], [0, 0], [0, 0]]]], [[11, 9, 9, 5, 1], [2^(1
/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1)
, And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [-1048577/2097152
, -1048577/2097152], [0, 0]]]], [[11, 11, 6, 6, 1], [2^(1/2) < v, And(-(v^2-2)
^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y = -u^2+v^2-1, z = z], [regular_chain,
[[3, 3], [0, 0], [0, 0], [8, 8], [0, 0]]]], [[11, 15, 3, 6, 1], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [399003/524288, 798007/1048576], [
-2, -2]]]], [[11, 15, 3, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [399003/524288, 798007/1048576], [-735979/1048576, -1471957/
2097152]]]], [[11, 15, 3, 6, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [-657289/524288, -657289/524288], [399003/524288, 798007/1048576], [-1/
4194304, -1/4194304]]]], [[11, 15, 3, 6, 4], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [399003/524288, 798007/1048576], [367989/524288, 735979/
1048576]]]], [[11, 15, 3, 6, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [399003/524288, 798007/1048576], [2, 2]]]], [[11, 17, 4, 5, 1]
, [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2),
z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1, -1], [517383/2097152, 517383/2097152], [-2, -2]]]], [[11, 17, 4, 5, 2], [2^
(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z = -
(1-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1
], [517383/2097152, 517383/2097152], [-3640339/4194304, -1820169/2097152]]]],
[[11, 17, 4, 5, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0
< y,y < u^2-v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-1, -1], [517383/2097152, 517383/2097152]
, [-1/4194304, -1/4194304]]]], [[11, 17, 4, 5, 4], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [227521/262144, 910085/1048576]]]], [[11, 17, 4, 5,
5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2)
, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
-1, -1], [517383/2097152, 517383/2097152], [2, 2]]]], [[1, 3, 11, 8, 1], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [0, 0]
, [0, 0]]]], [[1, 5, 11, 2, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-403851/131072, -403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [
-3, -3]]]], [[1, 5, 11, 2, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1
< x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [-\
1281417/1048576, -160177/131072]]]], [[1, 5, 11, 2, 3], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [2, 2], [-457889/131072, -3663111/1048576], [0, 0]]]], [[1, 5, 11, 2,
4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [2, 2], [-457889/131072, -3663111/1048576], [160177/131072, 1281417/1048576
]]]], [[1, 5, 11, 2, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x,
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [3, 3]]]]
, [[1, 11, 8, 8, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = 1, y = -u^2+v^2-2, z = z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [7,
7], [0, 0]]]], [[1, 13, 6, 2, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^
2-1)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-5260377/2097152, -657547
/262144], [-3, -3]]]], [[1, 13, 6, 2, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-5260377/
2097152, -657547/262144], [-3321417/2097152, -415177/262144]]]], [[1, 13, 6, 2
, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2-
v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-5260377/2097152, -657547
/262144], [0, 0]]]], [[1, 13, 6, 2, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-5260377/
2097152, -657547/262144], [415177/262144, 1660709/1048576]]]], [[1, 13, 6, 2,
5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2-v^
2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [0, 0], [-5260377/2097152, -657547/262144], [3, 3]]]], [[1, 
17, 6, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And
(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152], [66399/
262144, 66399/262144], [-2, -2]]]], [[1, 17, 6, 5, 2], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2
-y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
531193/1048576, -1062385/2097152], [66399/262144, 66399/262144], [-1055459/
2097152, -527729/1048576]]]], [[1, 17, 6, 5, 3], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^
(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-531193/1048576, -1062385/2097152], [66399/262144, 
66399/262144], [0, 0]]]], [[1, 17, 6, 5, 4], [v < -2^(1/2), And(-v < u,u < (v^
2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2
)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/
1048576, -1062385/2097152], [66399/262144, 66399/262144], [527729/1048576, 
263865/524288]]]], [[1, 17, 6, 5, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1
/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [66399/262144, 66399/262144], [2, 2]]]], [[1, 19, 5, 8, 1],
[v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [260583/262144, 1042333/1048576], [0, 0]]]], [[2, 3, 7
, 2, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -u
^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152
], [-2855353/1048576, -5710705/2097152], [-3, -3]]]], [[2, 3, 7, 2, 2], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -u^2-x+1, z = -(u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-2855353/
1048576, -5710705/2097152], [-825991/524288, -3303963/2097152]]]], [[2, 3, 7,
2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -u^2
-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
2097152, 505467/2097152], [-2855353/1048576, -5710705/2097152], [-1/4194304, -\
1/4194304]]]], [[2, 3, 7, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(
0 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
2097152, 505467/2097152], [-2855353/1048576, -5710705/2097152], [1651981/
1048576, 825991/524288]]]], [[2, 3, 7, 2, 5], [v = -2^(1/2), And(-2 < u,u < -3
^(1/2)), And(0 < x,x < u^2-3), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [-2855353/1048576, -\
5710705/2097152], [3, 3]]]], [[2, 5, 6, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x = u^2-3, And(-2*u^2+4 < y,y < 0), z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-3982451/8388608, -\
3982451/8388608], [-2, -2]]]], [[2, 5, 6, 3, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = u^2-3, And(-2*u^2+4 < y,y < 0), z = -(-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-3982451/8388608, -\
3982451/8388608], [-35184371999191/35184372088832, -281474975993527/
281474976710656]]]], [[2, 5, 6, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = u^2-3, And(-2*u^2+4 < y,y < 0), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [-275385/524288, -1101539/2097152], [-3982451/8388608, -\
3982451/8388608], [-267718327/562949953421312, -267718327/562949953421312]]]],
[[2, 5, 6, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(-2*u^
2+4 < y,y < 0), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/524288, -\
1101539/2097152], [-3982451/8388608, -3982451/8388608], [1048575/1048576, 1]]]
], [[2, 5, 6, 3, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, And(-2
*u^2+4 < y,y < 0), (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/524288, -\
1101539/2097152], [-3982451/8388608, -3982451/8388608], [2, 2]]]], [[2, 6, 3,
6, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [-1
/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 6, 3, 6, 2], [v = -2^(1/2), u = v, 
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/2, 1/2], [0, 0]
]]], [[2, 6, 3, 6, 3], [v = -2^(1/2), u = v, And(-1 < x,x < 0), y = -x, 0 < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 8, 4, 7, 1], [v = -2
^(1/2), u = -1, x = -1, 1 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-1, -1], [2, 2], [0, 0]]]], [[2, 13, 11, 2, 1], [v
= -2^(1/2), And(1 < u,u < -v), 1 < x, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [-3, -3]]]], [[2, 13,
11, 2, 2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = u^2-x-3, z = -(-u^2+3)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [-1302471/
1048576, -651235/524288]]]], [[2, 13, 11, 2, 3], [v = -2^(1/2), And(1 < u,u <
-v), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [0, 0]]]], [[2, 13, 11
, 2, 4], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = u^2-x-3, z = (-u^2+3)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [651235/524288
, 1302471/1048576]]]], [[2, 13, 11, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), 1
< x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-7429987/2097152,
-3714993/1048576], [3, 3]]]], [[2, 16, 1, 1, 1], [v = -2^(1/2), u = 3^(1/2), x
< -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[
2, 16, 1, 1, 2], [v = -2^(1/2), u = 3^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187
/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[2, 16, 1, 1, 3], [v = -2^(1/2),
u = 3^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3, -3], [-1, -1], [0, 0]]]], [[2, 16, 1, 1, 4], [v = -2^(1/2), u =
3^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [-1, -1], [2, 2]]
]], [[2, 16, 1, 1, 5], [v = -2^(1/2), u = 3^(1/2), x < -2, y < 0, (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[2, 19, 8, 8, 1], [v = -2^(1
/2), 2 < u, x = 1, y = u^2-4, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [1, 1], [5, 5], [0, 0]]]], [[3, 2, 4, 2, 1], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = -2, z < -3^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-2, -2], [-3, -3]]]], [[3, 2, 4, 2, 2], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]],
[[3, 2, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y = -\
2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-2, -2], [-\
1/4194304, -1/4194304]]]], [[3, 2, 4, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(
v^2+2)^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-2, -2],
[908093/524288, 1816187/1048576]]]], [[3, 2, 4, 2, 5], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [-2, -2], [3, 3]]]], [[3, 8, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v
^2-1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-1,
-1], [-3, -3]]]], [[3, 8, 2, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1
/2), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [-1, -1], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 8, 2, 1, 3], [And(-2^(1/2) < v,v <
-1), u = -(v^2-1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[3, 8, 2, 1,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y < 0, z = (2-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152
, -354469/524288], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[
3, 8, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y < 0,
(2-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [-1, -1], [3, 3]]]], [[3, 10, 1, 2
, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, y = 0, z < -(-x)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288,
708939/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[3, 10, 1, 2, 2], [And(-2^(1/
2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[3, 10,
1, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, y = 0, And(-(-
x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[3, 10, 1, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[3, 10, 1, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [0, 0], [3, 3]]]]
, [[3, 17, 1, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^
2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [-10, -10], [27832241/2097152, 27832241/2097152], [
0, 0]]]], [[4, 1, 8, 1, 1], [v = -1, u < -3^(1/2), x = 1, y < -u^2-1, z < -(-y
-1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-11, -11], [-5, -5]]
]], [[4, 1, 8, 1, 2], [v = -1, u < -3^(1/2), x = 1, y < -u^2-1, z = -(-y-1)^(1
/2)], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-11, -11], [-3315889/
1048576, -207243/65536]]]], [[4, 1, 8, 1, 3], [v = -1, u < -3^(1/2), x = 1, y
< -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1],
[-3, -3], [1, 1], [-11, -11], [0, 0]]]], [[4, 1, 8, 1, 4], [v = -1, u < -3^(1/
2), x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3],
[1, 1], [-11, -11], [207243/65536, 3315889/1048576]]]], [[4, 1, 8, 1, 5], [v =
-1, u < -3^(1/2), x = 1, y < -u^2-1, (-y-1)^(1/2) < z], [regular_chain, [[-1,
-1], [-3, -3], [1, 1], [-11, -11], [5, 5]]]], [[4, 7, 5, 5, 1], [v = -1, And(-\
1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3/16, 3/16], [-2, -2]]
]], [[4, 7, 5, 5, 2], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0
< y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-5/8, -5/8], [3/16, 3/16], [-10837/16384, -1387135/2097152]]]], [[4, 7, 5, 5,
3], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-5/8, -5/8], [3/16, 3/16], [-1/4194304, -1/4194304]]]], [[4, 7, 5, 5, 4]
, [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), z =
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3/16, 3
/16], [693567/1048576, 10837/16384]]]], [[4, 7, 5, 5, 5], [v = -1, And(-1 < u,
u < 0), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3/16, 3/16], [2, 2]]]],
[[4, 9, 4, 8, 1], [v = -1, And(0 < u,u < 1), x = -1, y = 1, z < 0], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [1, 1], [-1, -1]]]], [[4, 9, 4
, 8, 2], [v = -1, And(0 < u,u < 1), x = -1, y = 1, z = 0], [regular_chain, [[-\
1, -1], [1/2, 1/2], [-1, -1], [1, 1], [0, 0]]]], [[4, 9, 4, 8, 3], [v = -1, 
And(0 < u,u < 1), x = -1, y = 1, 0 < z], [regular_chain, [[-1, -1], [1/2, 1/2]
, [-1, -1], [1, 1], [1, 1]]]], [[4, 13, 5, 4, 1], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4,
13, 5, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[4, 13, 5, 4
, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-
x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 13, 5, 4, 4], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [0
, 0], [741455/1048576, 46341/65536]]]], [[4, 13, 5, 4, 5], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [0, 0], [2, 2]]]]
, [[4, 15, 2, 7, 1], [v = -1, 3^(1/2) < u, x = -u^2, 2*u^2-2 < y, z = z], [
regular_chain, [[-1, -1], [3, 3], [-9, -9], [17, 17], [0, 0]]]], [[5, 5, 5, 6,
1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-\
1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [
106039/524288, 212079/1048576], [-2, -2]]]], [[5, 5, 5, 6, 2], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/524288, 212079
/1048576], [-1618333/2097152, -3236665/4194304]]]], [[5, 5, 5, 6, 3], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = u^2-
v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -\
1672995/2097152], [106039/524288, 212079/1048576], [-1/8388608, -1/8388608]]]]
, [[5, 5, 5, 6, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1
< x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -\
1672995/2097152], [106039/524288, 212079/1048576], [404583/524288, 809167/
1048576]]]], [[5, 5, 5, 6, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/524288, 212079/1048576], [2, 2]]]], [[5, 7
, 6, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, And(0 < y,y
< u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0]
, [-3/4, -3/4], [3/8, 3/8], [-2, -2]]]], [[5, 7, 6, 5, 2], [And(-1 < v,v < 0),
And(v < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [3/8, 3/8], [-\
1284239/2097152, -642119/1048576]]]], [[5, 7, 6, 5, 3], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1
)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0],
[-3/4, -3/4], [3/8, 3/8], [0, 0]]]], [[5, 7, 6, 5, 4], [And(-1 < v,v < 0), And
(v < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [3/8, 3/8], [642119
/1048576, 80265/131072]]]], [[5, 7, 6, 5, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [3/8, 3/8], [2, 2]]]], [[5
, 8, 4, 3, 1], [And(-1 < v,v < 0), u = -v, x = 0, And(-1 < y,y < 0), z < -(-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1/2, -1/2], [-2,
-2]]]], [[5, 8, 4, 3, 2], [And(-1 < v,v < 0), u = -v, x = 0, And(-1 < y,y < 0)
, z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1/2,
-1/2], [-1482911/2097152, -741455/1048576]]]], [[5, 8, 4, 3, 3], [And(-1 < v,v
< 0), u = -v, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1/2, -1/2], [0, 0]]]], [[
5, 8, 4, 3, 4], [And(-1 < v,v < 0), u = -v, x = 0, And(-1 < y,y < 0), z = (-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1/2, -1/2], [
741455/1048576, 46341/65536]]]], [[5, 8, 4, 3, 5], [And(-1 < v,v < 0), u = -v,
x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2
, 1/2], [0, 0], [-1/2, -1/2], [2, 2]]]], [[5, 10, 5, 4, 1], [And(-1 < v,v < 0)
, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[0, 0], [-2, -2]]]], [[5, 10, 5, 4, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[5, 10, 5, 4, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [0, 0], [0, 0
]]]], [[5, 10, 5, 4, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x <
0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[5, 
10, 5, 4, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0,
(-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-1/2, -1/2], [0, 0], [2, 2]]]], [[6, 2, 7, 4, 1], [v = 0, u = -2^(1/
2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[6, 2, 7, 4,
2], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[
0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[6, 2, 7, 4, 3], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2,
-1/2], [1, 1]]]], [[6, 4, 5, 6, 1], [v = 0, u = -1, And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]
]], [[6, 4, 5, 6, 2], [v = 0, u = -1, And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[6, 4,
5, 6, 3], [v = 0, u = -1, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [
[0, 0], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[6, 8, 6, 4, 1], [v =
0, u = 1, x = 0, y = 0, z < 0], [regular_chain, [[0, 0], [1, 1], [0, 0], [0, 0
], [-1, -1]]]], [[6, 8, 6, 4, 2], [v = 0, u = 1, x = 0, y = 0, z = 0], [
regular_chain, [[0, 0], [1, 1], [0, 0], [0, 0], [0, 0]]]], [[6, 8, 6, 4, 3], [
v = 0, u = 1, x = 0, y = 0, 0 < z], [regular_chain, [[0, 0], [1, 1], [0, 0], [
0, 0], [1, 1]]]], [[6, 10, 4, 6, 1], [v = 0, u = 2^(1/2), x = -1, y = 1, z < 0
], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1, 1]
, [-1, -1]]]], [[6, 10, 4, 6, 2], [v = 0, u = 2^(1/2), x = -1, y = 1, z = 0],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [
0, 0]]]], [[6, 10, 4, 6, 3], [v = 0, u = 2^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [1
, 1]]]], [[7, 4, 7, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x
< 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[7, 4, 7, 1, 2]
, [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1
/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[7, 4, 7, 1, 3], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[7, 4, 7, 1, 4], [And(0 <
v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-\
4, -4], [980853/524288, 1961707/1048576]]]], [[7, 4, 7, 1, 5], [And(0 < v,v <
1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-\
4, -4], [3, 3]]]], [[7, 6, 6, 2, 1], [And(0 < v,v < 1), u = -v, x = 1, y = -2,
z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-2, -2], [-2, -2]
]]], [[7, 6, 6, 2, 2], [And(0 < v,v < 1), u = -v, x = 1, y = -2, z = -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-2, -2], [-1, -1]]]], [[7,
6, 6, 2, 3], [And(0 < v,v < 1), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-2, -2], [0, 0]]]], [[7, 6,
6, 2, 4], [And(0 < v,v < 1), u = -v, x = 1, y = -2, z = 1], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [1, 1], [-2, -2], [1, 1]]]], [[7, 6, 6, 2, 5], [And(0
< v,v < 1), u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [1, 1], [-2, -2], [2, 2]]]], [[7, 13, 7, 4, 1], [And(0 < v,v < 1), (v^2
+2)^(1/2) < u, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1/2, 1/2],
[3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[7, 13, 7, 4, 2], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1
/2, 1/2], [3, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[7, 13, 7, 4, 3], [And
(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8,
2, 2, 1, 1], [v = 1, u = -3^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1, -\
1], [-3, -3]]]], [[8, 2, 2, 1, 2], [v = 1, u = -3^(1/2), x = -3, y < 0, z = -(
3-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-\
3, -3], [-1, -1], [-2, -2]]]], [[8, 2, 2, 1, 3], [v = 1, u = -3^(1/2), x = -3,
y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[8, 2, 2,
1, 4], [v = 1, u = -3^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1, -1], [2, 2]]]],
[[8, 2, 2, 1, 5], [v = 1, u = -3^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1, -\
1], [3, 3]]]], [[8, 7, 11, 4, 1], [v = 1, And(-1 < u,u < 0), 1 < x, y = -u^2-x
, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-9/4, -9/4], [-2, -2
]]]], [[8, 7, 11, 4, 2], [v = 1, And(-1 < u,u < 0), 1 < x, y = -u^2-x, z = u],
[regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-9/4, -9/4], [-1/2, -1/2]]]],
[[8, 7, 11, 4, 3], [v = 1, And(-1 < u,u < 0), 1 < x, y = -u^2-x, And(u < z,z <
-u)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-9/4, -9/4], [0, 0]]]],
[[8, 7, 11, 4, 4], [v = 1, And(-1 < u,u < 0), 1 < x, y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-9/4, -9/4], [1/2, 1/2]]]], [[8
, 7, 11, 4, 5], [v = 1, And(-1 < u,u < 0), 1 < x, y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-9/4, -9/4], [2, 2]]]], [[8, 9,
10, 3, 1], [v = 1, And(0 < u,u < 1), x = 1, And(u^2-3 < y,y < -u^2-1), z < -(-
y-1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-2, -2], [-2, -2]]]
], [[8, 9, 10, 3, 2], [v = 1, And(0 < u,u < 1), x = 1, And(u^2-3 < y,y < -u^2-\
1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-2, -2],
[-1, -1]]]], [[8, 9, 10, 3, 3], [v = 1, And(0 < u,u < 1), x = 1, And(u^2-3 < y
,y < -u^2-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1
], [1/2, 1/2], [1, 1], [-2, -2], [0, 0]]]], [[8, 9, 10, 3, 4], [v = 1, And(0 <
u,u < 1), x = 1, And(u^2-3 < y,y < -u^2-1), z = (-y-1)^(1/2)], [regular_chain,
[[1, 1], [1/2, 1/2], [1, 1], [-2, -2], [1, 1]]]], [[8, 9, 10, 3, 5], [v = 1, 
And(0 < u,u < 1), x = 1, And(u^2-3 < y,y < -u^2-1), (-y-1)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-2, -2], [2, 2]]]], [[8, 13, 11,
1, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y < -u^2-x, z < -(-x-y)^(1
/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-6
, -6], [-3, -3]]]], [[8, 13, 11, 1, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
1 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [2, 2], [-6, -6], [-2, -2]]]], [[8, 13, 11, 1, 3],
[v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y < -u^2-x, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [2, 2], [-6, -6], [0, 0]]]], [[8, 13, 11, 1, 4], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), 1 < x, y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1
], [3299097/2097152, 3299097/2097152], [2, 2], [-6, -6], [2, 2]]]], [[8, 13, 
11, 1, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y < -u^2-x, (-x-y)^(1/
2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2],
[-6, -6], [3, 3]]]], [[8, 15, 7, 9, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1),
u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [8, 8], [0,
0]]]], [[9, 5, 11, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2,
2], [-4752643/2097152, -4752643/2097152], [-2, -2]]]], [[9, 5, 11, 5, 2], [And
(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-4752643/2097152, -\
4752643/2097152], [-270523/524288, -1082091/2097152]]]], [[9, 5, 11, 5, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2
], [-4752643/2097152, -4752643/2097152], [-1/4194304, -1/4194304]]]], [[9, 5,
11, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And
(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-4752643/
2097152, -4752643/2097152], [541045/1048576, 270523/524288]]]], [[9, 5, 11, 5,
5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^
2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-4752643/
2097152, -4752643/2097152], [2, 2]]]], [[9, 7, 11, 9, 1], [And(1 < v,v < 2^(1/
2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2
], [1, 1], [0, 0]]]], [[9, 9, 2, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^
(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [-1, -1], [-3, -3]]]], [[9, 9, 2, 1, 2], [And(1 < v
,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0
, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-1, -1], [-3899297/
2097152, -7798593/4194304]]]], [[9, 9, 2, 1, 3], [And(1 < v,v < 2^(1/2)), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+
1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-1, -1], [-1/
8388608, -1/8388608]]]], [[9, 9, 2, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-\
1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [-1, -1], [121853/65536, 1949649/1048576]]]], [[9,
9, 2, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-1, -\
1], [3, 3]]]], [[9, 10, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2),
1 < x, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [1, 1], [0, 0]]]], [[9, 16, 8, 1, 1],
[And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1, 1], [-5, -5], [-3, -3]]]], [[9, 16, 8, 1, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x = 1, y < -4, z = -(-y-1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [
-5, -5], [-2, -2]]]], [[9, 16, 8, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^
(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1, 1]
, [-5, -5], [0, 0]]]], [[9, 16, 8, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)
^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-5, -5], [2, 2]]]]
, [[9, 16, 8, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, y < -4
, (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [1, 1], [-5, -5], [3, 3]]]], [[10, 1, 4, 9, 1]
, [v = 2^(1/2), u < -2, x = -1, u^2-2 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [8, 8], [0, 0]]]], [[10, 5, 2, 2
, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, y = 0, z < -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-1546383/1048576, -773191/524288], [0, 0], [-3, -3]]]], [[
10, 5, 2, 2, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, y = 0, z
= -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [0, 0]
, [-636691/524288, -1273381/1048576]]]], [[10, 5, 2, 2, 3], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [0, 0], [0, 0]]]], [[10,
5, 2, 2, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, y = 0, z = (u
^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [0, 0], [
1273381/1048576, 636691/524288]]]], [[10, 5, 2, 2, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [0, 0], [3, 3]]]], [[10, 7, 2, 6, 1], [v = 2
^(1/2), And(-v < u,u < -1), x = u^2-3, y = -u^2+3, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [1617841/1048576, 808921/524288], [-1, -1]
]]], [[10, 7, 2, 6, 2], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, y = -u^2+
3, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [1617841/
1048576, 808921/524288], [0, 0]]]], [[10, 7, 2, 6, 3], [v = 2^(1/2), And(-v <
u,u < -1), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [1617841/1048576, 808921/524288], [1, 1]]]], [[10, 12, 7, 7,
1], [v = 2^(1/2), u = 1, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [1, 1], [0, 0]]]], [[10,
14, 6, 4, 1], [v = 2^(1/2), u = v, x = 1, y = -1, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1, 1], [-1
, -1], [-1, -1]]]], [[10, 14, 6, 4, 2], [v = 2^(1/2), u = v, x = 1, y = -1, z
= 0], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [0, 0]]]], [[10, 14, 6, 4, 3], [v = 2^(1/2
), u = v, x = 1, y = -1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1, 1]]]], [[11,
2, 2, 1, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [-1
, -1], [-3, -3]]]], [[11, 2, 2, 1, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -\
3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[11, 2, 2, 1, 3], [2^(1/2)
< v, u = -(v^2+2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))]
, [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [-1,
-1], [0, 0]]]], [[11, 2, 2, 1, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, y
< 0, z = (3-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-3, -3], [-1, -1], [2, 2]]]], [[11, 2, 2, 1, 5], [2^(1/2) < v, u =
-(v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[11, 3, 10,
2, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u
^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [1, 1], [-3663773/1048576, -915943/262144], [-3, -3]]]], [[
11, 3, 10, 2, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [-3663773/1048576, -915943/262144]
, [-1655969/1048576, -3311937/2097152]]]], [[11, 3, 10, 2, 3], [2^(1/2) < v, 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v
^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1, 1], [-3663773/1048576, -915943/262144], [-1/
4194304, -1/4194304]]]], [[11, 3, 10, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
3663773/1048576, -915943/262144], [51749/32768, 1655969/1048576]]]], [[11, 3,
10, 2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y
= -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1, 1], [-3663773/1048576, -915943/262144], [3, 3]
]]], [[11, 9, 10, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [1, 1], [-5, -5], [-3, -3]]]], [[11, 9,
10, 1, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y
< u^2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [1, 1], [-5, -5], [-2, -2]]]], [[11, 9, 10, 1, 3], [2^(1/2
) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, And(-
(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [1, 1], [-5, -5], [0, 0]]]], [[11, 9, 10, 1, 4],
[2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < u^2-v^2-2
, z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [-5, -5], [2, 2]]]], [[11, 9, 10, 1, 5], [2^(1/2) < v, And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [-5
, -5], [3, 3]]]], [[11, 11, 6, 7, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), x = 0, -u^2+v^2-1 < y, z = z], [regular_chain, [[3, 3], [0, 0]
, [0, 0], [9, 9], [0, 0]]]], [[11, 15, 4, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[11, 15, 4, 4, 2],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = 0, z = -1], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0],
[-1, -1]]]], [[11, 15, 4, 4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-1, -1], [0, 0], [0, 0]]]], [[11, 15, 4, 4, 4], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = 0, z = 1], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0], [1, 1]]]], [[11, 15,
4, 4, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = 0, 1 < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0],
[2, 2]]]], [[11, 17, 4, 8, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
-1, y = 1, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1, -1], [1, 1], [-1, -1]]]], [[11, 17, 4, 8, 2], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-1, -1], [1, 1], [0, 0]]]], [[11, 17, 4, 8, 3], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-1, -1], [1, 1], [1, 1]]]], [[1, 1, 4, 7, 1],
[v < -2^(1/2), u < -(v^2+2)^(1/2), x = -1, And(1 < y,y < u^2-v^2), z = z], [
regular_chain, [[-3, -3], [-5, -5], [-1, -1], [17/2, 17/2], [0, 0]]]], [[1, 3,
2, 1, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+
v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [-1, -1], [-3,
-3]]]], [[1, 3, 2, 1, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144],
[-1, -1], [-7840147/4194304, -3920073/2097152]]]], [[1, 3, 2, 1, 3], [v < -2^(
1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-
(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [-1,
-1], [-1/4194304, -1/4194304]]]], [[1, 3, 2, 1, 4], [v < -2^(1/2), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2
)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-2615197
/1048576, -653799/262144], [-1, -1], [490009/262144, 1960037/1048576]]]], [[1,
3, 2, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u
^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [-1, -\
1], [3, 3]]]], [[1, 9, 1, 7, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x < u^2-v^2-1, And(-x < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
8921643/2097152, 8921643/2097152], [0, 0]]]], [[1, 10, 8, 1, 1], [v < -2^(1/2)
, u = -(v^2-2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5, -5], [-3, -3]]]], [[1,
10, 8, 1, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, y < -4, z = -(-y-1)^(1
/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1],
[-5, -5], [-2, -2]]]], [[1, 10, 8, 1, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x
= 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -\
3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5, -5], [0, 0]]]], [[1, 10
, 8, 1, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)
], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1, 1], [-\
5, -5], [2, 2]]]], [[1, 10, 8, 1, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1
, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [1, 1], [-5, -5], [3, 3]]]], [[1, 14, 3, 5, 1], [v < -2^(1/2
), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2],
[3/4, 3/4], [-2, -2]]]], [[1, 14, 3, 5, 2], [v < -2^(1/2), u = (v^2-1)^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/
2097152, -3632373/4194304]]]], [[1, 14, 3, 5, 3], [v < -2^(1/2), u = (v^2-1)^(
1/2), And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -\
3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[1, 14, 3, 5, 4], [v < -2^(1/2
), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [
3/4, 3/4], [908093/1048576, 454047/524288]]]], [[1, 14, 3, 5, 5], [v < -2^(1/2
), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [
3/4, 3/4], [2, 2]]]], [[1, 16, 2, 4, 1], [v < -2^(1/2), u = -v, x = -1, y = 1,
z < 0], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1, 1], [-1, -1]]]], [[1,
16, 2, 4, 2], [v < -2^(1/2), u = -v, x = -1, y = 1, z = 0], [regular_chain, [[
-3, -3], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[1, 16, 2, 4, 3], [v < -2^(1/2)
, u = -v, x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [3, 3], [-1, -1],
[1, 1], [1, 1]]]], [[1, 21, 11, 1, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v
^2-1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5,
5], [16, 16], [-34, -34], [-6, -6]]]], [[1, 21, 11, 1, 2], [v < -2^(1/2), (v^2
+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [-34, -34], [-1112183/262144, -\
4448731/1048576]]]], [[1, 21, 11, 1, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [-34, -34], [0, 0]]]], [[1, 21, 11
, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [-34, -34], [
4448731/1048576, 1112183/262144]]]], [[1, 21, 11, 1, 5], [v < -2^(1/2), (v^2+2
)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [-34, -34], [6, 6]]]], [[2, 2, 6,
2, 1], [v = -2^(1/2), u = -2, x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-3, -3], [-3, -3]]]], [[
2, 2, 6, 2, 2], [v = -2^(1/2), u = -2, x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[2, 2, 6, 2, 3], [v = -2^(1/2), u
= -2, x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[2, 2, 6, 2, 4], [v = -2^(1/2), u = -2, x = 0, y = -3, z = 3^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-\
3, -3], [908093/524288, 1816187/1048576]]]], [[2, 2, 6, 2, 5], [v = -2^(1/2),
u = -2, x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [0, 0], [-3, -3], [3, 3]]]], [[2, 9, 6, 6, 1], [v =
-2^(1/2), And(-1 < u,u < 0), x = 0, y = -u^2+1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [3/4, 3/4], [0, 0]]]],
[[2, 11, 4, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -1, y = u^2-2, z < -(-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2]
, [-1, -1], [-7/4, -7/4], [-3, -3]]]], [[2, 11, 4, 2, 2], [v = -2^(1/2), And(0
< u,u < 1), x = -1, y = u^2-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-7/4, -7/4], [-\
1738867/1048576, -3477733/2097152]]]], [[2, 11, 4, 2, 3], [v = -2^(1/2), And(0
< u,u < 1), x = -1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-7/
4, -7/4], [-1/4194304, -1/4194304]]]], [[2, 11, 4, 2, 4], [v = -2^(1/2), And(0
< u,u < 1), x = -1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-7/4, -7/4], [869433/524288,
1738867/1048576]]]], [[2, 11, 4, 2, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -\
1, y = u^2-2, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [-1, -1], [-7/4, -7/4], [3, 3]]]], [[2, 17, 3, 8, 1], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = u^2-x-3, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [291383/131072, 
2331065/1048576], [0, 0]]]], [[2, 19, 1, 2, 1], [v = -2^(1/2), 2 < u, x < -u^2
+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [-9, -9], [0, 0], [-4, -4]]]], [[2, 19, 1, 2, 2], [v = -2^(1/
2), 2 < u, x < -u^2+1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [-9, -9], [0, 0], [-3, -3]]]], [[2, 19, 1, 2
, 3], [v = -2^(1/2), 2 < u, x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9],
[0, 0], [0, 0]]]], [[2, 19, 1, 2, 4], [v = -2^(1/2), 2 < u, x < -u^2+1, y = 0,
z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[-9, -9], [0, 0], [3, 3]]]], [[2, 19, 1, 2, 5], [v = -2^(1/2), 2 < u, x < -u^2
+1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [3, 3], [-9, -9], [0, 0], [4, 4]]]], [[3, 3, 4, 9, 1], [And(-2^(1/2) < v,v
< -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [3, 3], [0, 0]]]], [[3, 5, 4, 3, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 0),
z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [-122559/524288, -122559/524288]
, [-3, -3]]]], [[3, 5, 4, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2)
< u,u < v), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-1, -1], [-122559/524288, -122559/524288], [-1164705/1048576, -36397/32768]]]
], [[3, 5, 4, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-122559/524288, -122559/524288], [0, 0]]]], [[3,
5, 4, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1,
And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-122559/
524288, -122559/524288], [36397/32768, 1164705/1048576]]]], [[3, 5, 4, 3, 5],
[And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-122559/524288, -\
122559/524288], [3, 3]]]], [[3, 11, 3, 9, 1], [And(-2^(1/2) < v,v < -1), And((
v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [3, 3], [0, 0]]]], [[3, 13, 4,
8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 1
, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[3, 13, 4, 8, 2], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, z = 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [1, 1], [0, 0]]]], [[3, 13, 4, 8, 3], [And(-2^(1/2
) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [1, 1], [1, 1]]]], [[3, 14, 1, 6, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3]
, [3, 3], [-1, -1]]]], [[3, 14, 1, 6, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+
1)^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1643659/1048576, 410915/262144], [-3, -3], [3, 3], [0, 0]]]], [[3,
14, 1, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, y = -x, 0
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-3, -3], [3, 3], [1, 1]]]], [[3, 15, 11, 9, 1], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [1, 1], [0, 0]]]], [[4, 4, 2, 1, 1], [v = -1, u = -2^(1/2), x
= -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576,
-741455/524288], [-2, -2], [-1, -1], [-3, -3]]]], [[4, 4, 2, 1, 2], [v = -1, u
= -2^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 4, 2, 1, 3], [v = -1, u = -2^(1/2), x = -2, y < 0, 
And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[4
, 4, 2, 1, 4], [v = -1, u = -2^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [-1, -\
1], [908093/524288, 1816187/1048576]]]], [[4, 4, 2, 1, 5], [v = -1, u = -2^(1/
2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [3, 3]]]], [[4, 6, 1, 2, 1], [v
= -1, u = -1, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1,
-1], [-2, -2], [0, 0], [-3, -3]]]], [[4, 6, 1, 2, 2], [v = -1, u = -1, x < -1,
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [0, 0]
, [-1482911/1048576, -741455/524288]]]], [[4, 6, 1, 2, 3], [v = -1, u = -1, x
< -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1],
[-1, -1], [-2, -2], [0, 0], [0, 0]]]], [[4, 6, 1, 2, 4], [v = -1, u = -1, x <
-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [0,
0], [741455/524288, 1482911/1048576]]]], [[4, 6, 1, 2, 5], [v = -1, u = -1, x
< -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [
0, 0], [3, 3]]]], [[4, 10, 1, 7, 1], [v = -1, u = 1, x < -1, -x < y, z = z], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [3, 3], [0, 0]]]], [[4, 12, 3, 3,
1], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -\
3/2], [-1/4, -1/4], [-3, -3]]]], [[4, 12, 3, 3, 2], [v = -1, u = 2^(1/2), And(
-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837/
8192, -1387135/1048576]]]], [[4, 12, 3, 3, 3], [v = -1, u = 2^(1/2), And(-2 <
x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/
4, -1/4], [0, 0]]]], [[4, 12, 3, 3, 4], [v = -1, u = 2^(1/2), And(-2 < x,x < -\
1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455
/524288, 1482911/1048576], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837
/8192]]]], [[4, 12, 3, 3, 5], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), And(-x
-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[5, 2, 5, 5, 1], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [
1/4, 1/4], [-2, -2]]]], [[5, 2, 5, 5, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/
2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[5, 2
, 5, 5, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -\
1/2], [-3/2, -3/2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[5, 2, 5, 5, 4], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [1
/4, 1/4], [1/2, 1/2]]]], [[5, 2, 5, 5, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1
/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[5, 4, 3, 5
, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[5, 4, 3, 5, 2], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [
[5, 4, 3, 5, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), 
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2], [3/4, 3/4], [-\
1/8388608, -1/8388608]]]], [[5, 4, 3, 5, 4], [And(-1 < v,v < 0), u = -(v^2+1)^
(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2]
, [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[5, 4, 3, 5, 5], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [
-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[5, 11, 7, 3, 1], [And(-1 < v,v < 0), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-
x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [243021/1048576, 243021/1048576], [-767309/524288, -\
767309/524288], [-3, -3]]]], [[5, 11, 7, 3, 2], [And(-1 < v,v < 0), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [243021/1048576, 243021/1048576], [-767309/524288, -767309/
524288], [-1163761/1048576, -72735/65536]]]], [[5, 11, 7, 3, 3], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(
-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [-767309/524288, -767309/524288], [0, 0]]]], [[5, 11, 7, 3, 4
], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x <
u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576]
, [-767309/524288, -767309/524288], [72735/65536, 1163761/1048576]]]], [[5, 11
, 7, 3, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [-767309/524288, -767309/524288], [3, 3]]]], [[5, 13, 4, 6, 1
], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y = 1, z < 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [1, 1], [-1, -1]]]], [[5, 13,
4, 6, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y = 1, z = 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[5, 13, 4,
6, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y = 1, 0 < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[6, 5, 7,
5, 1], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(u^2-x-1 < y,y < 0)
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-3
/16, -3/16], [-2, -2]]]], [[6, 5, 7, 5, 2], [v = 0, And(-1 < u,u < 0), And(u^2
-1 < x,x < 0), And(u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0
, 0], [-1/2, -1/2], [-3/8, -3/8], [-3/16, -3/16], [-3/4, -3/4]]]], [[6, 5, 7,
5, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(u^2-x-1 < y,y < 0)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1
/2], [-3/8, -3/8], [-3/16, -3/16], [0, 0]]]], [[6, 5, 7, 5, 4], [v = 0, And(-1
< u,u < 0), And(u^2-1 < x,x < 0), And(u^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [-3/16, -3/16], [3/4, 3/4]
]]], [[6, 5, 7, 5, 5], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(u^
2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-\
3/8, -3/8], [-3/16, -3/16], [2, 2]]]], [[6, 7, 8, 4, 1], [v = 0, And(0 < u,u <
1), x = 0, y = u^2-1, z < -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2
], [0, 0], [-3/4, -3/4], [-2, -2]]]], [[6, 7, 8, 4, 2], [v = 0, And(0 < u,u <
1), x = 0, y = u^2-1, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2
], [0, 0], [-3/4, -3/4], [-1816187/2097152, -3632373/4194304]]]], [[6, 7, 8, 4
, 3], [v = 0, And(0 < u,u < 1), x = 0, y = u^2-1, And(-(-u^2+1)^(1/2) < z,z <
(-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3/4, -3/4], [
-1/8388608, -1/8388608]]]], [[6, 7, 8, 4, 4], [v = 0, And(0 < u,u < 1), x = 0,
y = u^2-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [
-3/4, -3/4], [908093/1048576, 454047/524288]]]], [[6, 7, 8, 4, 5], [v = 0, And
(0 < u,u < 1), x = 0, y = u^2-1, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0],
[1/2, 1/2], [0, 0], [-3/4, -3/4], [2, 2]]]], [[6, 11, 5, 4, 1], [v = 0, 2^(1/2
) < u, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [3
, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[6, 11, 5, 4, 2], [v = 0, 2^(1/2) <
u, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [3, 3]
, [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[6, 11, 5, 4,
3], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [0, 0], [0, 0]]]], [
[6, 11, 5, 4, 4], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2
)], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [0, 0], [741455/1048576, 
46341/65536]]]], [[6, 11, 5, 4, 5], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y
= 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [0, 0], [
2, 2]]]], [[7, 1, 11, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1
< x, And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-3, -3]
, [9, 9], [-5/8, -5/8], [0, 0]]]], [[7, 7, 9, 4, 1], [And(0 < v,v < 1), And(-v
< u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-5/4, -5/4], [-2, -2]]]], [[7
, 7, 9, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2,
1/2], [-5/4, -5/4], [-1816187/2097152, -3632373/4194304]]]], [[7, 7, 9, 4, 3],
[And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [
0, 0], [1/2, 1/2], [-5/4, -5/4], [-1/8388608, -1/8388608]]]], [[7, 7, 9, 4, 4]
, [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-5/4,
-5/4], [908093/1048576, 454047/524288]]]], [[7, 7, 9, 4, 5], [And(0 < v,v < 1)
, And(-v < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-5/4, -5/4], [2, 2]]]], [
[7, 9, 10, 3, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(
-u^2+v^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [1696631/2097152, 1696631/2097152], [1, 1], [-2, -2], [-2, -2]]]], [[7, 9, 
10, 3, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^
2-2 < y,y < u^2-v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1, 1], [-2, -2], [-1, -1]]]], [[7, 9, 10,
3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < u^2-v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-2, -2], [0, 0]]]],
[[7, 9, 10, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And
(-u^2+v^2-2 < y,y < u^2-v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [1696631/2097152, 1696631/2097152], [1, 1], [-2, -2], [1, 1]]]], [[7, 9, 10,
3, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < u^2-v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1, 1], [-2, -2], [2, 2]]]], [[7, 10, 9, 1, 1], [
And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [-5, -5]
, [-3, -3]]]], [[7, 10, 9, 1, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x,
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 
146543/131072], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[7
, 10, 9, 1, 3], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, y < -x-2, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1172343/
1048576, 146543/131072], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[7, 
10, 9, 1, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z = (-x-y
)^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2
], [-5, -5], [908093/524288, 1816187/1048576]]]], [[7, 10, 9, 1, 5], [And(0 <
v,v < 1), u = (v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [-5, -5]
, [3, 3]]]], [[7, 12, 5, 9, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 <
x,x < 0), 1-x < y, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/
2], [3, 3], [0, 0]]]], [[8, 4, 9, 5, 1], [v = 1, u = -2^(1/2), 1 < x, And(-x <
y,y < 0), z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[2, 2], [-1, -1], [0, 0]]]], [[8, 7, 1, 2, 1], [v = 1, And(-1 < u,u < 0), x <
u^2-2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3
], [0, 0], [-3, -3]]]], [[8, 7, 1, 2, 2], [v = 1, And(-1 < u,u < 0), x < u^2-2
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [0
, 0], [-1816187/1048576, -3632373/2097152]]]], [[8, 7, 1, 2, 3], [v = 1, And(-\
1 < u,u < 0), x < u^2-2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[8, 7, 1, 2, 4], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = 0, z
= (-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[8, 7, 1, 2, 5], [v = 1, And(-1 < u,u < 0
), x < u^2-2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [
-3, -3], [0, 0], [3, 3]]]], [[8, 11, 1, 9, 1], [v = 1, And(1 < u,u < 2^(1/2)),
x < -u^2, -x < y, z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3, -3], [4, 4], [0, 0]]]], [[8, 12, 9, 6, 1], [v = 1, u = 2^(1/2),
1 < x, y = 0, z = z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576
], [2, 2], [0, 0], [0, 0]]]], [[9, 3, 2, 4, 1], [And(1 < v,v < 2^(1/2)), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/1048576, 
1299559/524288], [-1, -1]]]], [[9, 3, 2, 4, 2], [And(1 < v,v < 2^(1/2)), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/1048576, 
1299559/524288], [0, 0]]]], [[9, 3, 2, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/1048576, 
1299559/524288], [1, 1]]]], [[9, 5, 1, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [1606915/2097152, 1606915/2097152], [-3,
-3]]]], [[9, 5, 1, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [1606915/2097152, 1606915/2097152], [-1567179/
1048576, -783589/524288]]]], [[9, 5, 1, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [1606915/2097152, 
1606915/2097152], [0, 0]]]], [[9, 5, 1, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [1606915/2097152, 1606915/2097152], [
783589/524288, 1567179/1048576]]]], [[9, 5, 1, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (
-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [1606915/2097152, 1606915/
2097152], [3, 3]]]], [[9, 11, 11, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-3743933/1048576, -7487865/2097152], [-3, -3]]]], [[9, 11,
11, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u
^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-3743933/1048576,
-7487865/2097152], [-1314069/1048576, -328517/262144]]]], [[9, 11, 11, 2, 3],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [
-3743933/1048576, -7487865/2097152], [0, 0]]]], [[9, 11, 11, 2, 4], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [2, 2], [-3743933/1048576, -7487865/2097152], [
328517/262144, 1314069/1048576]]]], [[9, 11, 11, 2, 5], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [-3743933/1048576, -7487865/2097152], [3, 3]]]], [[9,
13, 11, 6, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y
= -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[9, 13, 11, 6, 2],
[And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [2, 2], [-2, -2], [0, 0]]]], [[9, 13, 11, 6, 3], [And(1 < v,v < 2^(
1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2],
[-2, -2], [1, 1]]]], [[10, 2, 4, 2, 1], [v = 2^(1/2), u = -2, x = -1, y = -2,
z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-\
1, -1], [-2, -2], [-3, -3]]]], [[10, 2, 4, 2, 2], [v = 2^(1/2), u = -2, x = -1
, y = -2, z = -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
2, -2], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[10, 2,
4, 2, 3], [v = 2^(1/2), u = -2, x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-2,
-2], [-1/4194304, -1/4194304]]]], [[10, 2, 4, 2, 4], [v = 2^(1/2), u = -2, x =
-1, y = -2, z = 3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-2, -2], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[10, 2, 4,
2, 5], [v = 2^(1/2), u = -2, x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-2, -2], [3, 3]]]], [[10
, 4, 1, 1, 1], [v = 2^(1/2), u = -3^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[10, 4, 1, 1, 2], [v = 2^(1/2), u
= -3^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1, -1],
[-2, -2]]]], [[10, 4, 1, 1, 3], [v = 2^(1/2), u = -3^(1/2), x < -2, y < 0, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1, -1], [0
, 0]]]], [[10, 4, 1, 1, 4], [v = 2^(1/2), u = -3^(1/2), x < -2, y < 0, z = (-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/
1048576, -3632373/2097152], [-3, -3], [-1, -1], [2, 2]]]], [[10, 4, 1, 1, 5],
[v = 2^(1/2), u = -3^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3,
-3], [-1, -1], [3, 3]]]], [[10, 8, 2, 1, 1], [v = 2^(1/2), u = -1, x = -2, y <
0, z < -(2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-2, -2], [-1, -1], [-3, -3]]]], [[10, 8, 2, 1, 2], [v = 2^(1/2), u = -1,
x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]
], [[10, 8, 2, 1, 3], [v = 2^(1/2), u = -1, x = -2, y < 0, And(-(2-y)^(1/2) <
z,z < (2-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -\
1], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[10, 8, 2, 1, 4], [v = 2
^(1/2), u = -1, x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[10, 8, 2, 1, 5], [v = 2^(1/2), u = -1, x = -2, y < 0, (
2-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-2, -2], [-1, -1], [3, 3]]]], [[10, 9, 11, 7, 1], [v = 2^(1/2), And(-1 < u,u
< 0), 1 < x, And(-u^2-x+1 < y,y < 0), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [2, 2], [-5/8, -5/8], [0, 0]]]], [[10, 15, 10,
1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y < -u^2, z < -(-y-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [1, 1], [-4, -4], [-3, -3]]]], [[10, 15, 10, 1, 2], [v = 2^(
1/2), And(v < u,u < 3^(1/2)), x = 1, y < -u^2, z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[10, 15,
10, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y < -u^2, And(-(-y-1)^
(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[10, 15, 10, 1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1,
y < -u^2, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3299097/2097152, 3299097/2097152], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[10, 15, 10, 1, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2))
, x = 1, y < -u^2, (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-4, -4], [3, 3]]]], [[
10, 17, 8, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, 0 < y, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/1048576, 126367/262144], [1, 1], [0, 0]]]], [[10, 18
, 5, 9, 1], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), 1-x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [3, 3]
, [0, 0]]]], [[11, 1, 3, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2
-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-5, -5], [-9, -9], [-9, -9], [-6, -6]]]], [[11, 1, 3, 1, 2], [2^(1/2) < v, u
< -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-9, -9], [-1112183/262144,
-4448731/1048576]]]], [[11, 1, 3, 1, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And
(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-9, -9], [0, 0]]]], [[11,
1, 3, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y <
-u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9],
[-9, -9], [4448731/1048576, 1112183/262144]]]], [[11, 1, 3, 1, 5], [2^(1/2) <
v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1
/2) < z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-9, -9], [6, 6]]]], [[
11, 6, 7, 7, 1], [2^(1/2) < v, u = -v, 1 < x, 0 < y, z = z], [regular_chain, [
[3, 3], [-3, -3], [2, 2], [1, 1], [0, 0]]]], [[11, 8, 8, 4, 1], [2^(1/2) < v,
u = -(v^2-1)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1, 1], [-1, -1], [-1, -1]]]], [[11, 8, 8, 4, 2],
[2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [1, 1], [-1, -1], [0, 0]]]], [[11,
8, 8, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, y = -1, 0 < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-1, -1
], [1, 1]]]], [[11, 12, 4, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And
(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-1, -1], [-1, -1], [-3, -3]]]], [[11, 12, 4, 3, 2], [2^(1/2) < v
, u = (v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[11, 12, 4, 3, 3], [2^(1/2) < v, u = (v^
2-2)^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [-1, -1], [0
, 0]]]], [[11, 12, 4, 3, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And(-2 <
y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 12, 4, 3
, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [-1, -\
1], [3, 3]]]], [[11, 14, 1, 2, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y
= 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-3, -3], [0, 0], [-3, -3]]]], [[11, 14, 1, 2, 2], [2^(1/2) < v, u =
(v^2-1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373
/2097152]]]], [[11, 14, 1, 2, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[11,
14, 1, 2, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[11, 14, 1, 2, 5], [2^(1/2) < v, u = (v^2
-1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3, -3], [0, 0], [3, 3]]]], [[11, 20, 1, 1, 1], [2^
(1/2) < v, u = (v^2+2)^(1/2), x < -3, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [-1, -1],
[-4, -4]]]], [[11, 20, 1, 1, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y <
0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[11, 20, 1
, 1, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288
], [-4, -4], [-1, -1], [0, 0]]]], [[11, 20, 1, 1, 4], [2^(1/2) < v, u = (v^2+2
)^(1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]
]], [[11, 20, 1, 1, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y < 0, (-x-y)
^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4,
-4], [-1, -1], [4, 4]]]], [[11, 21, 8, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u,
x = 1, u^2-v^2-2 < y, z = z], [regular_chain, [[3, 3], [5, 5], [1, 1], [15, 15
], [0, 0]]]], [[1, 3, 11, 9, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [2, 2], [1, 1], [0, 0]]]], [[1, 5, 11, 3, 1], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v
^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [2, 2], [-3, -3], [-2, -2]]]], [[1, 5, 11, 3, 2], [v < -2^(1/2
), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1)
, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [2, 2], [-3, -3], [-1, -1]]]], [[1, 5, 11, 3, 3], [v < -2^(1/2), And(
-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [2, 2], [-3, -3], [0, 0]]]], [[1, 5, 11, 3, 4], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v
^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [2, 2], [-3, -3], [1, 1]]]], [[1, 5, 11, 3, 5], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (
-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[2, 2], [-3, -3], [2, 2]]]], [[1, 11, 8, 7, 1], [v < -2^(1/2), And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x = 1, And(0 < y,y < -u^2+v^2-2), z = z], [
regular_chain, [[-3, -3], [0, 0], [1, 1], [7/2, 7/2], [0, 0]]]], [[1, 13, 6, 1
, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-
v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [0, 0], [-4, -4], [-3, -3]]]], [[1, 13, 6, 1, 2], [v < -2^(1/2), And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)],
[regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-4, -4],
[-2, -2]]]], [[1, 13, 6, 1, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [0, 0], [-4, -4],
[0, 0]]]], [[1, 13, 6, 1, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [0, 0], [-4, -4], [2, 2]]]], [[1, 13, 6, 1, 5
], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2
-1, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [0, 0], [-4, -4], [3, 3]]]], [[1, 17, 6, 6, 1], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -1062385/2097152]
, [66399/131072, 531193/1048576], [-1, -1]]]], [[1, 17, 6, 6, 2], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [66399/131072, 531193/1048576], [0, 0]]]], [[1, 17, 6, 6, 3]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1,
0 < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/
1048576, -1062385/2097152], [66399/131072, 531193/1048576], [1, 1]]]], [[1, 19
, 5, 9, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 <
x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2, 3, 7, 1, 1], [v = -2
^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y < -u^2-x+1, z < -(-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-4, -4], [-3, -\
3]]]], [[2, 3, 7, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x
< u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 
505467/2097152], [-4, -4], [-32527793/16777216, -2032987/1048576]]]], [[2, 3,
7, 1, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y < -
u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
2097152, 505467/2097152], [-4, -4], [0, 0]]]], [[2, 3, 7, 1, 4], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y < -u^2-x+1, z = (-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [-4, -4], [2032987/1048576
, 508247/262144]]]], [[2, 3, 7, 1, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, And(0 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [-4, -4], [3, 3]]]], [[2, 5, 6, 2, 1], [v = -
2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-15929805/16777216, -\
3982451/4194304], [-3, -3]]]], [[2, 5, 6, 2, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-15929805/16777216, -3982451/4194304], [-\
636691/524288, -1273381/1048576]]]], [[2, 5, 6, 2, 3], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [-275385/524288, -1101539/2097152], [-15929805/16777216,
-3982451/4194304], [0, 0]]]], [[2, 5, 6, 2, 4], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-15929805/16777216, -3982451/4194304], [
1273381/1048576, 636691/524288]]]], [[2, 5, 6, 2, 5], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x = u^2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-15929805/16777216, -3982451/4194304], [3,
3]]]], [[2, 6, 3, 7, 1], [v = -2^(1/2), u = v, And(-1 < x,x < 0), -x < y, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2, 8, 5, 1, 1], [v = -2^(1/
2), u = -1, And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-3, -3], [-3, -3]
]]], [[2, 8, 5, 1, 2], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y < -x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[2, 8, 5, 1, 3
], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1
], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[2, 8, 5, 1, 4], [v = -2^(1/2), u = -1,
And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-3, -3], [980853/524288, 
1961707/1048576]]]], [[2, 8, 5, 1, 5], [v = -2^(1/2), u = -1, And(-1 < x,x < 0
), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[2, 13, 11, 1, 1], [v =
-2^(1/2), And(1 < u,u < -v), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [2, 2], [-5, -5], [-3, -3]]]], [[2, 13, 11, 1, 2], [v = -2^(1/2), 
And(1 < u,u < -v), 1 < x, y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[2, 13, 11, 1, 3], [v = -2
^(1/2), And(1 < u,u < -v), 1 < x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[2,
13, 11, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y < u^2-x-3, z = (-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]
]], [[2, 13, 11, 1, 5], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y < u^2-x-3,
(-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [2, 2], [-5, -5], [3, 3]]]], [[2, 15, 11, 9
, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [2, 2], [1, 1], [0, 0]]]], [[2, 19, 8, 9, 1], [v = -2^(1/2), 2 < u,
x = 1, u^2-4 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [1, 1], [6, 6], [0, 0]]]], [[3, 2, 4, 3, 1], [And(-2^(1/2) < v,v < -1)
, u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-1, -1], [-3, -3]]]], [[3, 2, 4, 3, 2], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]]
, [[3, 2, 4, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And
(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [-1, -1], [0, 0]]]], [[3, 2, 4, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v
^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[3, 2, 4, 3, 5], [And(-2^
(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-1, -1], [-1, -1], [3, 3]]]], [[3, 8, 1, 7, 1], [And(-2^
(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, -x < y, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3
, -3], [4, 4], [0, 0]]]], [[3, 10, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v
^2-1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-1, -1
], [-3, -3]]]], [[3, 10, 1, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2
), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-1, -1], [-2, -2
]]]], [[3, 10, 1, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2,
y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-1, -1
], [0, 0]]]], [[3, 10, 1, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [354469/524288, 708939/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[3
, 10, 1, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, y < 0, (
-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[3, 17, 1, 6,
1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z <
0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10],
[10, 10], [-1, -1]]]], [[3, 17, 1, 6, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(
1/2) < u, x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [-10, -10], [10, 10], [0, 0]]]], [[3, 17, 1, 6, 3],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [10
, 10], [1, 1]]]], [[4, 1, 7, 9, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1), u
^2-x-2 < y, z = z], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [8, 8], [
0, 0]]]], [[4, 7, 5, 6, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2),
y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3/
8, 3/8], [-2, -2]]]], [[4, 7, 5, 6, 2], [v = -1, And(-1 < u,u < 0), And(-1 < x
,x < -u^2), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8
, -5/8], [3/8, 3/8], [-1/2, -1/2]]]], [[4, 7, 5, 6, 3], [v = -1, And(-1 < u,u
< 0), And(-1 < x,x < -u^2), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[
-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3/8, 3/8], [0, 0]]]], [[4, 7, 5, 6, 4],
[v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3/8, 3/8], [1/2, 1/2]]]
], [[4, 7, 5, 6, 5], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = -u^
2-x, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [3/8, 3/8
], [2, 2]]]], [[4, 9, 4, 9, 1], [v = -1, And(0 < u,u < 1), x = -1, 1 < y, z =
z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [2, 2], [0, 0]]]], [[4, 
13, 5, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(-u
^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [-66261427/67108864, -66261427/
67108864], [-3, -3]]]], [[4, 13, 5, 3, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2
)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-\
66261427/67108864, -66261427/67108864], [-1278821/1048576, -319705/262144]]]],
[[4, 13, 5, 3, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), 
And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-\
66261427/67108864, -66261427/67108864], [0, 0]]]], [[4, 13, 5, 3, 4], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = (-
x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-\
1/2, -1/2], [-66261427/67108864, -66261427/67108864], [319705/262144, 1278821/
1048576]]]], [[4, 13, 5, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1
< x,x < 0), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-66261427/67108864, -\
66261427/67108864], [3, 3]]]], [[4, 15, 2, 6, 1], [v = -1, 3^(1/2) < u, x = -u
^2, y = 2*u^2-2, z = z], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [16, 16]
, [0, 0]]]], [[5, 5, 5, 7, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [1/2, 1/2], [-2, -2]]]], [[5, 5, 5, 7, 2],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1),
And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152],
[1/2, 1/2], [-1144335/2097152, -572167/1048576]]]], [[5, 5, 5, 7, 3], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-
v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -\
1672995/2097152], [1/2, 1/2], [0, 0]]]], [[5, 5, 5, 7, 4], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1672995/2097152, -1672995/2097152], [1/2, 1/2], [572167/
1048576, 71521/131072]]]], [[5, 5, 5, 7, 5], [And(-1 < v,v < 0), And(-(v^2+1)^
(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-
y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [1/2, 1/2], [2, 2]]]], [[5, 7,
6, 6, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1
, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [3/4, 3/4], [-1
, -1]]]], [[5, 7, 6, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^
2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4
], [3/4, 3/4], [0, 0]]]], [[5, 7, 6, 6, 3], [And(-1 < v,v < 0), And(v < u,u <
-v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-1/2, -1/2], [0,
0], [-3/4, -3/4], [3/4, 3/4], [1, 1]]]], [[5, 8, 4, 2, 1], [And(-1 < v,v < 0),
u = -v, x = 0, y = -1, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0,
0], [-1, -1], [-2, -2]]]], [[5, 8, 4, 2, 2], [And(-1 < v,v < 0), u = -v, x = 0
, y = -1, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1]
, [-1, -1]]]], [[5, 8, 4, 2, 3], [And(-1 < v,v < 0), u = -v, x = 0, y = -1, 
And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1
], [0, 0]]]], [[5, 8, 4, 2, 4], [And(-1 < v,v < 0), u = -v, x = 0, y = -1, z =
1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [1, 1]]]], [[
5, 8, 4, 2, 5], [And(-1 < v,v < 0), u = -v, x = 0, y = -1, 1 < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [-1, -1], [2, 2]]]], [[5, 10
, 5, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[5, 10, 5,
3, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]
]]], [[5, 10, 5, 3, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x <
0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[-3/4, -3/4], [0, 0]]]], [[5, 10, 5, 3, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2], [-3/4, -3/4],
[1172343/1048576, 146543/131072]]]], [[5, 10, 5, 3, 5], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[-3/4, -3/4], [3, 3]]]], [[6, 2, 7, 5, 1], [v = 0, u = -2^(1/2), And(0 < x,x <
1), And(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[6, 4, 5, 7, 1], [v = 0,
u = -1, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[0, 0], [-1, -1],
[-1/2, -1/2], [2, 2], [0, 0]]]], [[6, 8, 6, 3, 1], [v = 0, u = 1, x = 0, And(-\
2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [-1,
-1], [-2, -2]]]], [[6, 8, 6, 3, 2], [v = 0, u = 1, x = 0, And(-2 < y,y < 0), z
= -(-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [0, 0], [-1, -1], [-1, -1]]]]
, [[6, 8, 6, 3, 3], [v = 0, u = 1, x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [0, 0], [-1, -1], [0, 0]]
]], [[6, 8, 6, 3, 4], [v = 0, u = 1, x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)]
, [regular_chain, [[0, 0], [1, 1], [0, 0], [-1, -1], [1, 1]]]], [[6, 8, 6, 3,
5], [v = 0, u = 1, x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain,
[[0, 0], [1, 1], [0, 0], [-1, -1], [2, 2]]]], [[6, 10, 4, 5, 1], [v = 0, u = 2
^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[0, 0],
[741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[6, 10,
4, 5, 2], [v = 0, u = 2^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2]
, [-1482911/2097152, -741455/1048576]]]], [[6, 10, 4, 5, 3], [v = 0, u = 2^(1/
2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2]
, [0, 0]]]], [[6, 10, 4, 5, 4], [v = 0, u = 2^(1/2), x = -1, And(0 < y,y < 1),
z = (1-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[6, 10, 4, 5, 5], [v =
0, u = 2^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[
0, 0], [741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[7,
4, 7, 2, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2
, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[7, 4, 7, 2, 2], [And(0 < v,
v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-\
5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[7, 4, 7, 2, 3], [And(0 <
v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z <
2^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1
/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[7, 4, 7, 2, 4], [And(0 < v,v < 1), u = -(
v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[1/2,
1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-5/2, -5/2], [741455/
524288, 1482911/1048576]]]], [[7, 4, 7, 2, 5], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[7,
6, 6, 3, 1], [And(0 < v,v < 1), u = -v, x = 1, And(-2 < y,y < -1), z < -(-y-1)
^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-3/2, -3/2], [-2,
-2]]]], [[7, 6, 6, 3, 2], [And(0 < v,v < 1), u = -v, x = 1, And(-2 < y,y < -1)
, z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-3/2
, -3/2], [-1482911/2097152, -741455/1048576]]]], [[7, 6, 6, 3, 3], [And(0 < v,
v < 1), u = -v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-3/2, -3/2], [0, 0]
]]], [[7, 6, 6, 3, 4], [And(0 < v,v < 1), u = -v, x = 1, And(-2 < y,y < -1), z
= (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-3/2, -3/
2], [741455/1048576, 46341/65536]]]], [[7, 6, 6, 3, 5], [And(0 < v,v < 1), u =
-v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [1, 1], [-3/2, -3/2], [2, 2]]]], [[7, 13, 7, 5, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[8,
2, 2, 2, 1], [v = 1, u = -3^(1/2), x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [0, 0]
, [-3, -3]]]], [[8, 2, 2, 2, 2], [v = 1, u = -3^(1/2), x = -3, y = 0, z = -3^(
1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3]
, [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[8, 2, 2, 2, 3], [v = 1, u
= -3^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1
, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[8, 2, 2, 2, 4], [v = 1, u = -3^(1/2), x = -3, y = 0, z = 3^(1/2
)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [
0, 0], [908093/524288, 1816187/1048576]]]], [[8, 2, 2, 2, 5], [v = 1, u = -3^(
1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576,
-3632373/2097152], [-3, -3], [0, 0], [3, 3]]]], [[8, 7, 11, 3, 1], [v = 1, And
(-1 < u,u < 0), 1 < x, And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-3, -3], [-2, -2]]]], [[8, 7, 
11, 3, 2], [v = 1, And(-1 < u,u < 0), 1 < x, And(u^2-x-2 < y,y < -u^2-x), z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-3, -3], [-1,
-1]]]], [[8, 7, 11, 3, 3], [v = 1, And(-1 < u,u < 0), 1 < x, And(u^2-x-2 < y,y
< -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[-1/2, -1/2], [2, 2], [-3, -3], [0, 0]]]], [[8, 7, 11, 3, 4], [v = 1, And(-1 <
u,u < 0), 1 < x, And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-3, -3], [1, 1]]]], [[8, 7, 11,
3, 5], [v = 1, And(-1 < u,u < 0), 1 < x, And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(
1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-3, -3], [2, 2]]]],
[[8, 9, 10, 2, 1], [v = 1, And(0 < u,u < 1), x = 1, y = u^2-3, z < -(-u^2+2)^(
1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-11/4, -11/4], [-3, -3]]]
], [[8, 9, 10, 2, 2], [v = 1, And(0 < u,u < 1), x = 1, y = u^2-3, z = -(-u^2+2
)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-11/4, -11/4], [-10837
/8192, -1387135/1048576]]]], [[8, 9, 10, 2, 3], [v = 1, And(0 < u,u < 1), x =
1, y = u^2-3, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[
1, 1], [1/2, 1/2], [1, 1], [-11/4, -11/4], [0, 0]]]], [[8, 9, 10, 2, 4], [v =
1, And(0 < u,u < 1), x = 1, y = u^2-3, z = (-u^2+2)^(1/2)], [regular_chain, [[
1, 1], [1/2, 1/2], [1, 1], [-11/4, -11/4], [1387135/1048576, 10837/8192]]]], [
[8, 9, 10, 2, 5], [v = 1, And(0 < u,u < 1), x = 1, y = u^2-3, (-u^2+2)^(1/2) <
z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-11/4, -11/4], [3, 3]]]], [[
8, 13, 11, 2, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -u^2-x, z <
-u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-\
2346055/524288, -4692109/1048576], [-3, -3]]]], [[8, 13, 11, 2, 2], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [2, 2], [-2346055/524288, -4692109/
1048576], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 11, 2, 3], [v = 1,
And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-2346055/
524288, -4692109/1048576], [-1/4194304, -1/4194304]]]], [[8, 13, 11, 2, 4], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -u^2-x, z = u], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-2346055/524288, -\
4692109/1048576], [412387/262144, 1649549/1048576]]]], [[8, 13, 11, 2, 5], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -u^2-x, u < z], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-2346055/524288, -\
4692109/1048576], [3, 3]]]], [[8, 15, 8, 1, 1], [v = 1, 3^(1/2) < u, x = 1, y
< -u^2-1, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1, 1], [-11, -\
11], [-5, -5]]]], [[8, 15, 8, 1, 2], [v = 1, 3^(1/2) < u, x = 1, y < -u^2-1, z
= -(-y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1, 1], [-11, -11], [-\
3315889/1048576, -207243/65536]]]], [[8, 15, 8, 1, 3], [v = 1, 3^(1/2) < u, x
= 1, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1
, 1], [3, 3], [1, 1], [-11, -11], [0, 0]]]], [[8, 15, 8, 1, 4], [v = 1, 3^(1/2
) < u, x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3],
[1, 1], [-11, -11], [207243/65536, 3315889/1048576]]]], [[8, 15, 8, 1, 5], [v
= 1, 3^(1/2) < u, x = 1, y < -u^2-1, (-y-1)^(1/2) < z], [regular_chain, [[1, 1
], [3, 3], [1, 1], [-11, -11], [5, 5]]]], [[9, 5, 11, 4, 1], [And(1 < v,v < 2^
(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [-5310983/2097152, -2655491/1048576], [-2,
-2]]]], [[9, 5, 11, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2
], [-5310983/2097152, -2655491/1048576], [-1530309/2097152, -382577/524288]]]]
, [[9, 5, 11, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-5310983/2097152, -2655491/1048576], [0, 0]]]], [[9
, 5, 11, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x
, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5310983/
2097152, -2655491/1048576], [382577/524288, 765155/1048576]]]], [[9, 5, 11, 4,
5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^
2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5310983/2097152, -\
2655491/1048576], [2, 2]]]], [[9, 7, 11, 8, 1], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [0, 0
], [0, 0]]]], [[9, 9, 2, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576,
-1288231/524288], [0, 0], [-3, -3]]]], [[9, 9, 2, 2, 2], [And(1 < v,v < 2^(1/2
)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-2576463/1048576, -1288231/524288], [0, 0], [-410915/262144, -3287319/2097152
]]]], [[9, 9, 2, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+
1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [0, 0], [-1/4194304, -1/4194304]]]], [[9, 9
, 2, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2))
, x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [0, 0]
, [1643659/1048576, 410915/262144]]]], [[9, 9, 2, 2, 5], [And(1 < v,v < 2^(1/2
)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2
+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
-2576463/1048576, -1288231/524288], [0, 0], [3, 3]]]], [[9, 11, 1, 1, 1], [And
(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y < 0, z < -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[9, 11, 1, 1, 2],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y < 0, z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[9, 11, 1, 1, 3],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y < 0, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-1, -1], [0, 0]
]]], [[9, 11, 1, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-1, -1], [2, 2]
]]], [[9, 11, 1, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-1, -1], [3, 3]
]]], [[9, 16, 7, 9, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,
x < 1), 1-x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[121853/65536, 1949649/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[10, 1, 4, 8,
1], [v = 2^(1/2), u < -2, x = -1, y = u^2-2, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [7, 7], [0, 0]]]], [[10, 5, 2, 3
, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, And(0 < y,y < 2*u^2-\
4), z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [
248903/524288, 248903/524288], [-3, -3]]]], [[10, 5, 2, 3, 2], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x = -u^2+1, And(0 < y,y < 2*u^2-4), z = -(u^2-y-1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/524288, 248903/
524288], [-1048577/1048576, -1]]]], [[10, 5, 2, 3, 3], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), x = -u^2+1, And(0 < y,y < 2*u^2-4), And(-(u^2-y-1)^(1/2) < z,
z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [
248903/524288, 248903/524288], [0, 0]]]], [[10, 5, 2, 3, 4], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), x = -u^2+1, And(0 < y,y < 2*u^2-4), z = (u^2-y-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/524288, 248903/
524288], [1, 1048577/1048576]]]], [[10, 5, 2, 3, 5], [v = 2^(1/2), And(-3^(1/2
) < u,u < -v), x = -u^2+1, And(0 < y,y < 2*u^2-4), (u^2-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1546383/1048576, -773191/524288], [248903/524288, 248903/524288],
[3, 3]]]], [[10, 7, 2, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, -u^
2+3 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [3, 3], [0,
0]]]], [[10, 12, 7, 6, 1], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y = 0, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [0,
0], [0, 0]]]], [[10, 14, 6, 3, 1], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y <
-1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[10, 14,
6, 3, 2], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[10,
14, 6, 3, 3], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2
) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [0, 0]]]], [[10, 14, 6,
3, 4], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[10, 14, 6,
3, 5], [v = 2^(1/2), u = v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [-3/2, -3/2], [2, 2]]]], [[11, 2, 1, 9, 1], [2^(1/2) < v, u
= -(v^2+2)^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-4, -4], [6, 6], [0, 0]]]], [[11, 3, 10, 1, 1], [2
^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2,
z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1, 1], [-5, -5], [-3, -3]]]], [[11, 3, 10, 1, 2], [2^(1/2) < v, And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1
/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [
-5, -5], [-2, -2]]]], [[11, 3, 10, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1]
, [-5, -5], [0, 0]]]], [[11, 3, 10, 1, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-5, -5]
, [2, 2]]]], [[11, 3, 10, 1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[3, 3]
, [-3396811/1048576, -3396811/1048576], [1, 1], [-5, -5], [3, 3]]]], [[11, 9,
10, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y
= u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527/2097152], [-3,
-3]]]], [[11, 9, 10, 2, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^
(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527/
2097152], [-3321417/2097152, -415177/262144]]]], [[11, 9, 10, 2, 3], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527/
2097152], [0, 0]]]], [[11, 9, 10, 2, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [-\
919691/262144, -7357527/2097152], [415177/262144, 1660709/1048576]]]], [[11, 9
, 10, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1,
y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527/2097152], [3, 3
]]]], [[11, 11, 7, 1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/
2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [0, 0], [1/2, 1/2], [-12, -12], [-5, -5]]]], [[11, 11, 7, 1, 2], [2^(1/
2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y < u^2-v
^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-12,
-12], [-3555895/1048576, -1777947/524288]]]], [[11, 11, 7, 1, 3], [2^(1/2) < v
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [0, 0], [
1/2, 1/2], [-12, -12], [0, 0]]]], [[11, 11, 7, 1, 4], [2^(1/2) < v, And(-(v^2-\
2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)
^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-12, -12], [1777947/
524288, 3555895/1048576]]]], [[11, 11, 7, 1, 5], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-12, -12], [5, 5]]]], [[11,
15, 4, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2
< y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-1, -1], [-133001/524288, -133001/524288], [-3, -3]]]], [[
11, 15, 4, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-
v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-1, -1], [-133001/524288, -133001/524288], [-293517/262144,
-1174067/1048576]]]], [[11, 15, 4, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
133001/524288, -133001/524288], [0, 0]]]], [[11, 15, 4, 3, 4], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
133001/524288, -133001/524288], [1174067/1048576, 293517/262144]]]], [[11, 15,
4, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,
y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-1, -1], [-133001/524288, -133001/524288], [3, 3]]]], [[11, 17, 4,
7, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y <
1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-1, -1], [195745/262144, 195745/262144], [-2, -2]]]], [[11, 17, 4, 7, 2], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z =
-(1-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -\
1], [195745/262144, 195745/262144], [-527729/1048576, -1055457/2097152]]]], [[
11, 17, 4, 7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-
v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [-1, -1], [195745/262144, 195745/262144], [
-1/4194304, -1/4194304]]]], [[11, 17, 4, 7, 4], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain
, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [195745/262144, 195745/
262144], [32983/65536, 527729/1048576]]]], [[11, 17, 4, 7, 5], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/2) < z]
, [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [195745/
262144, 195745/262144], [2, 2]]]], [[1, 1, 4, 8, 1], [v < -2^(1/2), u < -(v^2+
2)^(1/2), x = -1, y = u^2-v^2, z = z], [regular_chain, [[-3, -3], [-5, -5], [-\
1, -1], [16, 16], [0, 0]]]], [[1, 3, 2, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [0, 0], [-3, -3]]]], [[1, 3, 2, 2, 2], [v < -2^(1/2)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576
], [-2615197/1048576, -653799/262144], [0, 0], [-1655969/1048576, -3311937/
2097152]]]], [[1, 3, 2, 2, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-\
2615197/1048576, -653799/262144], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 3,
2, 2, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+
v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [51749
/32768, 1655969/1048576]]]], [[1, 3, 2, 2, 5], [v < -2^(1/2), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [0, 0], [3, 3]]]], [[1, 9, 1, 6, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [4
, 4], [-1, -1]]]], [[1, 9, 1, 6, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [4, 4], [0, 0]]]], [[1, 9, 1,
6, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-\
1, y = -x, 0 < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [4, 4], [1, 1]]]], [[1, 10, 7, 9, 1], [v < -2^(1/2), u = -
(v^2-2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[-3, -3], [
-5548543/2097152, -2774271/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[1, 14, 3
, 6, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [3/
2, 3/2], [-1, -1]]]], [[1, 14, 3, 6, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), And
(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[1, 14, 3, 6, 3], [v <
-2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [3/2
, 3/2], [1, 1]]]], [[1, 16, 2, 5, 1], [v < -2^(1/2), u = -v, x = -1, 1 < y, z
= z], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [2, 2], [0, 0]]]], [[1, 21,
10, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 0 < y, z = z], [
regular_chain, [[-3, -3], [5, 5], [15, 15], [1, 1], [0, 0]]]], [[2, 2, 6, 1, 1
], [v = -2^(1/2), u = -2, x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-4, -4], [-3, -3]]]], [[2
, 2, 6, 1, 2], [v = -2^(1/2), u = -2, x = 0, y < -3, z = -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-4, -4]
, [-2, -2]]]], [[2, 2, 6, 1, 3], [v = -2^(1/2), u = -2, x = 0, y < -3, And(-(-
y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [0, 0], [-4, -4], [0, 0]]]], [[2, 2, 6, 1, 4], [v = -2^(1/2
), u = -2, x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [0, 0], [-4, -4], [2, 2]]]], [[2, 2, 6, 1, 5], [v =
-2^(1/2), u = -2, x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [0, 0], [-4, -4], [3, 3]]]], [[2, 9, 6, 7,
1], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, -u^2+1 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [2,
2], [0, 0]]]], [[2, 11, 4, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -1, And
(u^2-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1, -1], [-7/8, -7/8], [-3, -3]]]], [[2, 11, 4, 3
, 2], [v = -2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0), z = -(1-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1
, -1], [-7/8, -7/8], [-717911/524288, -1435821/1048576]]]], [[2, 11, 4, 3, 3],
[v = -2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0), And(-(1-y)^(1/2
) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[1/2, 1/2], [-1, -1], [-7/8, -7/8], [0, 0]]]], [[2, 11, 4, 3, 4], [v = -2^(1/2
), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-7/
8, -7/8], [1435821/1048576, 717911/524288]]]], [[2, 11, 4, 3, 5], [v = -2^(1/2
), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-7/
8, -7/8], [3, 3]]]], [[2, 17, 3, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(-u^2+1 < x,x < -1), And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [2078331/1048576, 2078331/1048576], [0, 0]
]]], [[2, 19, 1, 1, 1], [v = -2^(1/2), 2 < u, x < -u^2+1, y < 0, z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9],
[-1, -1], [-5, -5]]]], [[2, 19, 1, 1, 2], [v = -2^(1/2), 2 < u, x < -u^2+1, y
< 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-9, -9], [-1, -1], [-3315889/1048576, -207243/65536]]]], [[2, 19, 1,
1, 3], [v = -2^(1/2), 2 < u, x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [-9,
-9], [-1, -1], [0, 0]]]], [[2, 19, 1, 1, 4], [v = -2^(1/2), 2 < u, x < -u^2+1,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [-9, -9], [-1, -1], [207243/65536, 3315889/1048576]]]], [[2, 19, 1, 1,
5], [v = -2^(1/2), 2 < u, x < -u^2+1, y < 0, (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [3, 3], [-9, -9], [-1, -1], [5, 5]]]],
[[3, 3, 5, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[3, 3, 5, 1, 2], [And
(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,
x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[3, 3, 5, 1, 3], [And(-2
^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608
], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[3, 3, 5, 1, 4], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-3, -3], [
980853/524288, 1961707/1048576]]]], [[3, 3, 5, 1, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2
-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-3, -3], [3, 3]]]], [
[3, 5, 4, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
-1, y = 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [0, 0], [-2, -2]]]], [[3, 5, 4,
4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0
, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1, -1], [0, 0], [-1, -1]]]], [[3, 5, 4, 4, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, And(-1
< z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1, -1], [0, 0], [0, 0]]]], [[3, 5, 4, 4, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, z = 1]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [0, 0], [1, 1]]]], [[3, 5, 4, 4, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [0, 0], [2, 2]]]], [[3, 11, 3, 8, 1], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -
x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [673839/524288
, 1347679/1048576], [-1, -1]]]], [[3, 11, 3, 8, 2], [And(-2^(1/2) < v,v < -1),
And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [673839/524288, 1347679/
1048576], [0, 0]]]], [[3, 11, 3, 8, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [673839/524288, 1347679/1048576], [1, 1]]]
], [[3, 13, 4, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2))
, x = -1, And(u^2-v^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -\
1], [384703/524288, 384703/524288], [-2, -2]]]], [[3, 13, 4, 7, 2], [And(-2^(1
/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1)
, z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1, -1], [384703/524288, 384703/524288], [
-1082093/2097152, -270523/524288]]]], [[3, 13, 4, 7, 3], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [384703/524288, 384703
/524288], [0, 0]]]], [[3, 13, 4, 7, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [384703/524288, 384703/524288], [270523/524288, 
541047/1048576]]]], [[3, 13, 4, 7, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u
< (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [384703/524288, 384703/524288], [2, 2]]]], [[3, 14
, 1, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3, -3], [2, 2], [-2, -2]]]], [[3
, 14, 1, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(-x-2
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3, -3], [2, 2], [-1, -1]]]], [[3
, 14, 1, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, And(-x-2
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3]
, [2, 2], [0, 0]]]], [[3, 14, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3]
, [2, 2], [1, 1]]]], [[3, 14, 1, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3]
, [2, 2], [2, 2]]]], [[3, 15, 11, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [2, 2], [0
, 0], [0, 0]]]], [[4, 4, 2, 2, 1], [v = -1, u = -2^(1/2), x = -2, y = 0, z < -
2^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2,
-2], [0, 0], [-3, -3]]]], [[4, 4, 2, 2, 2], [v = -1, u = -2^(1/2), x = -2, y =
0, z = -2^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[4, 4, 2, 2, 3],
[v = -1, u = -2^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0]
, [0, 0]]]], [[4, 4, 2, 2, 4], [v = -1, u = -2^(1/2), x = -2, y = 0, z = 2^(1/
2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2],
[0, 0], [741455/524288, 1482911/1048576]]]], [[4, 4, 2, 2, 5], [v = -1, u = -2
^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-2, -2], [0, 0], [3, 3]]]], [[4, 6, 1, 3, 1], [v =
-1, u = -1, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [-1, -1], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[4, 6, 1, 3, 2], [v =
-1, u = -1, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [-1, -1], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]
], [[4, 6, 1, 3, 3], [v = -1, u = -1, x < -1, And(0 < y,y < -1-x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-2, -2],
[1/2, 1/2], [0, 0]]]], [[4, 6, 1, 3, 4], [v = -1, u = -1, x < -1, And(0 < y,y
< -1-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [1/
2, 1/2], [642119/524288, 1284239/1048576]]]], [[4, 6, 1, 3, 5], [v = -1, u = -\
1, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1],
[-1, -1], [-2, -2], [1/2, 1/2], [3, 3]]]], [[4, 10, 1, 6, 1], [v = -1, u = 1,
x < -1, y = -x, z < 0], [regular_chain, [[-1, -1], [1, 1], [-2, -2], [2, 2], [
-1, -1]]]], [[4, 10, 1, 6, 2], [v = -1, u = 1, x < -1, y = -x, z = 0], [
regular_chain, [[-1, -1], [1, 1], [-2, -2], [2, 2], [0, 0]]]], [[4, 10, 1, 6,
3], [v = -1, u = 1, x < -1, y = -x, 0 < z], [regular_chain, [[-1, -1], [1, 1],
[-2, -2], [2, 2], [1, 1]]]], [[4, 12, 3, 2, 1], [v = -1, u = 2^(1/2), And(-2 <
x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[4, 12, 3, 2, 2],
[v = -1, u = 2^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/
2, -1/2], [-1482911/1048576, -741455/524288]]]], [[4, 12, 3, 2, 3], [v = -1, u
= 2^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-1/
2, -1/2], [0, 0]]]], [[4, 12, 3, 2, 4], [v = -1, u = 2^(1/2), And(-2 < x,x < -\
1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911
/1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[
4, 12, 3, 2, 5], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) <
z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2],
[-1/2, -1/2], [3, 3]]]], [[5, 2, 5, 6, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1
/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2,
-3/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[5, 2, 5, 6, 2], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [
[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[5, 2, 5, 6,
3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [1/2, 1/2], [1, 1]]
]], [[5, 4, 3, 6, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -\
1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[5, 4, 3, 6, 2], [And(-1 < v
,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2]
, [3/2, 3/2], [0, 0]]]], [[5, 4, 3, 6, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1
/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[5, 11
, 7, 2, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [-5652431/2097152, -2826215/1048576], [-3, -3]]]], [[5, 11, 7
, 2, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576]
, [-5652431/2097152, -2826215/1048576], [-3291611/2097152, -1645805/1048576]]]
], [[5, 11, 7, 2, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [243021/1048576, 243021/1048576], [-5652431/2097152, -2826215/1048576
], [0, 0]]]], [[5, 11, 7, 2, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/
1048576, 243021/1048576], [-5652431/2097152, -2826215/1048576], [1645805/
1048576, 822903/524288]]]], [[5, 11, 7, 2, 5], [And(-1 < v,v < 0), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [243021/1048576, 243021/1048576], [-5652431/2097152, -2826215/1048576
], [3, 3]]]], [[5, 13, 4, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1
, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3],
[-1, -1], [1/2, 1/2], [-2, -2]]]], [[5, 13, 4, 5, 2], [And(-1 < v,v < 0), (v^2
+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[
-1/2, -1/2], [3, 3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]
]]], [[5, 13, 4, 5, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, And(0 <
y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2
], [3, 3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[5, 13, 4, 5, 4], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[5, 13, 4, 5, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x =
-1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3],
[-1, -1], [1/2, 1/2], [2, 2]]]], [[6, 5, 7, 6, 1], [v = 0, And(-1 < u,u < 0),
And(u^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-1/2,
-1/2], [-3/8, -3/8], [0, 0], [-2, -2]]]], [[6, 5, 7, 6, 2], [v = 0, And(-1 < u
,u < 0), And(u^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0
], [-1/2, -1/2], [-3/8, -3/8], [0, 0], [-1284239/2097152, -642119/1048576]]]],
[[6, 5, 7, 6, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = 0, And(
-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8
, -3/8], [0, 0], [0, 0]]]], [[6, 5, 7, 6, 4], [v = 0, And(-1 < u,u < 0), And(u
^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2]
, [-3/8, -3/8], [0, 0], [642119/1048576, 80265/131072]]]], [[6, 5, 7, 6, 5], [
v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [0, 0], [2, 2]]]], [[6, 7,
8, 5, 1], [v = 0, And(0 < u,u < 1), x = 0, And(u^2-1 < y,y < 0), z < -(-y)^(1/
2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3/8, -3/8], [-2, -2]]]], [
[6, 7, 8, 5, 2], [v = 0, And(0 < u,u < 1), x = 0, And(u^2-1 < y,y < 0), z = -(
-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3/8, -3/8], [-\
1284239/2097152, -642119/1048576]]]], [[6, 7, 8, 5, 3], [v = 0, And(0 < u,u <
1), x = 0, And(u^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3/8, -3/8], [0, 0]]]], [[6, 7, 8
, 5, 4], [v = 0, And(0 < u,u < 1), x = 0, And(u^2-1 < y,y < 0), z = (-y)^(1/2)
], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3/8, -3/8], [642119/1048576,
80265/131072]]]], [[6, 7, 8, 5, 5], [v = 0, And(0 < u,u < 1), x = 0, And(u^2-1
< y,y < 0), (-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-3/
8, -3/8], [2, 2]]]], [[6, 11, 5, 3, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0)
, And(-u^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3]
, [-1/2, -1/2], [-19/4, -19/4], [-4, -4]]]], [[6, 11, 5, 3, 2], [v = 0, 2^(1/2
) < u, And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-19/4, -19/4], [-1201295/524288
, -2402589/1048576]]]], [[6, 11, 5, 3, 3], [v = 0, 2^(1/2) < u, And(-1 < x,x <
0), And(-u^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-19/4, -19/4], [0, 0]]]], [[6,
11, 5, 3, 4], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-19/4, -19/
4], [2402589/1048576, 1201295/524288]]]], [[6, 11, 5, 3, 5], [v = 0, 2^(1/2) <
u, And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [-19/4, -19/4], [4, 4]]]], [[7,
1, 11, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = u^2-v^
2-x-1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-5/4, -5/4], [0
, 0]]]], [[7, 7, 9, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x <
1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [0, 0], [1/2, 1/2], [-7/8, -7/8], [-2, -2]]]], [[7, 7, 9, 5, 2], [And(0 <
v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-7/8, -7/8
], [-1284239/2097152, -642119/1048576]]]], [[7, 7, 9, 5, 3], [And(0 < v,v < 1)
, And(-v < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/
2], [-7/8, -7/8], [0, 0]]]], [[7, 7, 9, 5, 4], [And(0 < v,v < 1), And(-v < u,u
< v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-7/8, -7/8], [642119/1048576,
80265/131072]]]], [[7, 7, 9, 5, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(
0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [0, 0], [1/2, 1/2], [-7/8, -7/8], [2, 2]]]], [[7, 9, 10, 4, 1], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [1, 1], [-1672995/1048576, -3345989/2097152], [-2, -2]]]], [[7, 9, 
10, 4, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2
-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [1, 1], [-1672995/1048576, -3345989/2097152], [-1618333/
2097152, -3236665/4194304]]]], [[7, 9, 10, 4, 3], [And(0 < v,v < 1), And(v < u
,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [1, 1], [-1672995/1048576, -3345989/2097152], [-1/8388608, -1/
8388608]]]], [[7, 9, 10, 4, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)
), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [1, 1], [-1672995/1048576, -3345989/
2097152], [404583/524288, 809167/1048576]]]], [[7, 9, 10, 4, 5], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [
-1672995/1048576, -3345989/2097152], [2, 2]]]], [[7, 10, 9, 2, 1], [And(0 < v,
v < 1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[1
/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [-4, -4], [-3, -3]]]], [[7
, 10, 9, 2, 2], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = -2^
(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2],
[-4, -4], [-1482911/1048576, -741455/524288]]]], [[7, 10, 9, 2, 3], [And(0 < v
,v < 1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [-4, -4]
, [0, 0]]]], [[7, 10, 9, 2, 4], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, y
= -x-2, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[7, 10, 9, 2,
5], [And(0 < v,v < 1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [2, 2], [-4, -4]
, [3, 3]]]], [[7, 12, 6, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, y
< -3, z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-4,
-4], [-3, -3]]]], [[7, 12, 6, 1, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x =
0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0],
[-4, -4], [-2, -2]]]], [[7, 12, 6, 1, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2)
, x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2,
1/2], [3/2, 3/2], [0, 0], [-4, -4], [0, 0]]]], [[7, 12, 6, 1, 4], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [3/2, 3/2], [0, 0], [-4, -4], [2, 2]]]], [[7, 12, 6, 1, 5], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [3/2, 3/2], [0, 0], [-4, -4], [3, 3]]]], [[8, 4, 9, 4, 1], [v = 1,
u = -2^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [2, 2], [-2, -2], [-1, -1]]]], [[8, 4, 9, 4, 2], [v
= 1, u = -2^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [2, 2], [-2, -2], [0, 0]]]], [[8, 4, 9, 4, 3], [v =
1, u = -2^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [2, 2], [-2, -2], [1, 1]]]], [[8, 7, 1, 1, 1], [v =
1, And(-1 < u,u < 0), x < u^2-2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[
1, 1], [-1/2, -1/2], [-3, -3], [-1, -1], [-3, -3]]]], [[8, 7, 1, 1, 2], [v = 1
, And(-1 < u,u < 0), x < u^2-2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [-1/2, -1/2], [-3, -3], [-1, -1], [-2, -2]]]], [[8, 7, 1, 1, 3], [v = 1,
And(-1 < u,u < 0), x < u^2-2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-1, -1], [0, 0]]]], [[8, 7,
1, 1, 4], [v = 1, And(-1 < u,u < 0), x < u^2-2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-1, -1], [2, 2]]]], [[8, 7, 1
, 1, 5], [v = 1, And(-1 < u,u < 0), x < u^2-2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [-1, -1], [3, 3]]]], [[8, 11,
2, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, z < -(u^2-y)^(1/2)]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-1, -1], [-3, -3]]]], [[8, 11, 2, 1, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, z = -(u^2-y)^(1/2)], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288
], [-1, -1], [-410915/262144, -3287319/2097152]]]], [[8, 11, 2, 1, 3], [v = 1,
And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1
/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-1, -1], [-1/4194304, -1/4194304]]]], [[8, 11, 2, 1
, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, z = (u^2-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/1048576,
-763943/524288], [-1, -1], [1643659/1048576, 410915/262144]]]], [[8, 11, 2, 1,
5], [v = 1, And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, (u^2-y)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1527887/1048576,
-763943/524288], [-1, -1], [3, 3]]]], [[8, 12, 9, 7, 1], [v = 1, u = 2^(1/2),
1 < x, 0 < y, z = z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576
], [2, 2], [1, 1], [0, 0]]]], [[9, 3, 2, 3, 1], [And(1 < v,v < 2^(1/2)), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1
), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/
1048576], [2599117/2097152, 2599117/2097152], [-3, -3]]]], [[9, 3, 2, 3, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v
^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1299559/524288, -2599117/1048576], [2599117/2097152, 2599117/2097152], [-\
583671/524288, -1167341/1048576]]]], [[9, 3, 2, 3, 3], [And(1 < v,v < 2^(1/2))
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^
2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/2097152, 
2599117/2097152], [0, 0]]]], [[9, 3, 2, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1)
, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576]
, [2599117/2097152, 2599117/2097152], [1167341/1048576, 583671/524288]]]], [[9
, 3, 2, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/2097152, 
2599117/2097152], [3, 3]]]], [[9, 5, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [0, 0], [-3, -3]]]], [[9, 5, 1, 2, 2], [And(1 < v,
v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = 0, z = -(-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[9, 5, 1, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[9, 5, 1, 2,
4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y
= 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [0, 0], [908093/524288, 1816187/
1048576]]]], [[9, 5, 1, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [0,
0], [3, 3]]]], [[9, 11, 11, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2)
< u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-12582913/4194304, -12582913/4194304], [-3, -3]]]], [[9, 11
, 11, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And
(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [
-12582913/4194304, -12582913/4194304], [-1048577/1048576, -1]]]], [[9, 11, 11,
3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u^2-v
^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-12582913/4194304, -12582913/4194304], [0, 0]]]], [[9, 11,
11, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u
^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-\
12582913/4194304, -12582913/4194304], [1, 1048577/1048576]]]], [[9, 11, 11, 3,
5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-
x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-\
12582913/4194304, -12582913/4194304], [3, 3]]]], [[9, 13, 11, 7, 1], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-x < y,y < 0), z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [-1, -1], [0, 0]]]], [[10, 2, 4, 1, 1], [v = 2^(1/2)
, u = -2, x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [-1, -1], [-3, -3], [-3, -3]]]], [[10, 2, 4, 1, 2]
, [v = 2^(1/2), u = -2, x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-3, -3], [-2, -2]]]], [[
10, 2, 4, 1, 3], [v = 2^(1/2), u = -2, x = -1, y < -2, And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2],
[-1, -1], [-3, -3], [0, 0]]]], [[10, 2, 4, 1, 4], [v = 2^(1/2), u = -2, x = -1
, y < -2, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [-1, -1], [-3, -3], [2, 2]]]], [[10, 2, 4, 1, 5], [v = 2^(1/2), u =
-2, x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-2, -2], [-1, -1], [-3, -3], [3, 3]]]], [[10, 3, 11, 9, 1], [v = 2
^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2],
[1, 1], [0, 0]]]], [[10, 8, 2, 2, 1], [v = 2^(1/2), u = -1, x = -2, y = 0, z <
-2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -\
2], [0, 0], [-3, -3]]]], [[10, 8, 2, 2, 2], [v = 2^(1/2), u = -1, x = -2, y =
0, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[10, 8, 2, 2, 3], [v
= 2^(1/2), u = -1, x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [0, 0],
[0, 0]]]], [[10, 8, 2, 2, 4], [v = 2^(1/2), u = -1, x = -2, y = 0, z = 2^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [0,
0], [741455/524288, 1482911/1048576]]]], [[10, 8, 2, 2, 5], [v = 2^(1/2), u =
-1, x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-2, -2], [0, 0], [3, 3]]]], [[10, 9, 11, 8, 1], [v = 2^(1
/2), And(-1 < u,u < 0), 1 < x, y = 0, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[10, 15, 9, 9, 1],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 17, 8, 6, 1], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x = u^2-3, y = 0, z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/1048576, 
126367/262144], [0, 0], [0, 0]]]], [[10, 18, 5, 8, 1], [v = 2^(1/2), u = 2, 
And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[11, 1, 2, 7, 1], [2^(
1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [
regular_chain, [[3, 3], [-5, -5], [-17, -17], [33, 33], [0, 0]]]], [[11, 7, 1,
1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-3, -3], [-1, -1], [-3, -3]]]], [[11, 7, 1, 1, 2], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-1, -1], [-2, -2]]]],
[[11, 7, 1, 1, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1
, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[11, 7, 1,
1, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-3, -3], [-1, -1], [2, 2]]]], [[11, 7, 1, 1, 5], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[11,
8, 8, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(-1 < y,y < 0), z = z
], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-1
/2, -1/2], [0, 0]]]], [[11, 12, 4, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x =
-1, y = -2, z < -3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-1, -1], [-2, -2], [-3, -3]]]], [[11, 12, 4, 2, 2], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[11, 12, 4, 2, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y =
-2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[11, 12, 4, 2,
4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y = -2, z = 3^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [-2, -2], [
908093/524288, 1816187/1048576]]]], [[11, 12, 4, 2, 5], [2^(1/2) < v, u = (v^2
-2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-1, -1], [-2, -2], [3, 3]]]], [[11, 14, 1, 1, 1], [2^(1
/2) < v, u = (v^2-1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[
11, 14, 1, 1, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y < 0, z = -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [
-1, -1], [-2, -2]]]], [[11, 14, 1, 1, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x <
-2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[11, 14, 1,
1, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [-1, -1],
[2, 2]]]], [[11, 14, 1, 1, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y < 0,
(-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576],
[-3, -3], [-1, -1], [3, 3]]]], [[11, 20, 1, 2, 1], [2^(1/2) < v, u = (v^2+2)^(
1/2), x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-4, -4], [0, 0], [-3, -3]]]], [[11, 20, 1, 2, 2], [
2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [0, 0], [
-2, -2]]]], [[11, 20, 1, 2, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-4, -4], [0, 0], [0, 0]]]], [[11, 20, 1, 2, 4], [2^
(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [0, 0], [2, 2]]]], [[11,
20, 1, 2, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [0, 0],
[3, 3]]]], [[11, 21, 9, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x <
u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5,
5], [8, 8], [-26, -26], [-6, -6]]]], [[11, 21, 9, 1, 2], [2^(1/2) < v, (v^2+2)
^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [8, 8], [-26, -26], [-1112183/262144, -4448731
/1048576]]]], [[11, 21, 9, 1, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x
< u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [5, 5], [8, 8], [-26, -26], [0, 0]]]], [[11, 21, 9, 1,
4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [8, 8], [-26, -26], [
4448731/1048576, 1112183/262144]]]], [[11, 21, 9, 1, 5], [2^(1/2) < v, (v^2+2)
^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [8, 8], [-26, -26], [6, 6]]]], [[1, 4, 1, 1, 1
], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [-1, -1
], [-3, -3]]]], [[1, 4, 1, 1, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y
< 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243
/65536], [-3, -3], [-1, -1], [-2, -2]]]], [[1, 4, 1, 1, 3], [v < -2^(1/2), u =
-(v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [-1, -1
], [0, 0]]]], [[1, 4, 1, 1, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y <
0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-3, -3], [-1, -1], [2, 2]]]], [[1, 4, 1, 1, 5], [v < -2^(1/2), u = -(
v^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3, -3], [-1, -1], [3, 3]]]], [[1, 5, 10, 9,
1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, 0 < y, z = z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [1, 1], [0
, 0]]]], [[1, 11, 9, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^
(1/2)), And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-16, -16], [-5, -5]]]], [[1, 11
, 9, 1, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 <
x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [0, 0], [9/2, 9/2], [-16, -16], [-3555895/1048576, -1777947/524288]]]], [
[1, 11, 9, 1, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-16, -16], [0, 0]]]],
[[1, 11, 9, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [0, 0], [9/2, 9/2], [-16, -16], [1777947/524288, 3555895/1048576]]]
], [[1, 11, 9, 1, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2))
, And(1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-16, -16], [5, 5]]]], [[1, 13,
5, 9, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,
x < 0), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 17, 6, 7, 1], [v < -2^(
1/2), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-531193/1048576, -\
1062385/2097152], [2, 2], [0, 0]]]], [[1, 19, 5, 6, 1], [v < -2^(1/2), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1
/2, 1/2], [-1, -1]]]], [[1, 19, 5, 6, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]],
[[1, 19, 5, 6, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 3, 7, 4, 1], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [-126367/524288, -252733/
1048576], [-1, -1]]]], [[2, 3, 7, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), And(0 < x,x < u^2-3), y = -x, z = 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467
/2097152], [-126367/524288, -252733/1048576], [0, 0]]]], [[2, 3, 7, 4, 3], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [-126367/524288, -252733/
1048576], [1, 1]]]], [[2, 5, 6, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [-2, -2], [-3, -3]]]], [[2, 5, 6, 1, 2], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), x = u^2-3, y < -2*u^2+4, z = -(-u^2-y+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-2, -2], [-3332595/
2097152, -1666297/1048576]]]], [[2, 5, 6, 1, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [-275385/524288, -1101539/2097152], [-2, -2], [0, 0]]]], [[
2, 5, 6, 1, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = u^2-3, y < -2*u^2+
4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [-2,
-2], [1666297/1048576, 833149/524288]]]], [[2, 5, 6, 1, 5], [v = -2^(1/2), And
(-3^(1/2) < u,u < v), x = u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-2, -2], [3, 3]]]], [[2
, 6, 4, 1, 1], [v = -2^(1/2), u = v, x = 0, y < -1, z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [-2, -2], [-3, -3]]]], [[2, 6, 4, 1, 2], [v = -2^(1/2), u =
v, x = 0, y < -1, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[2, 6, 4, 1, 3], [v = -2^(1/2), u = v, x
= 0, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2]
, [0, 0]]]], [[2, 6, 4, 1, 4], [v = -2^(1/2), u = v, x = 0, y < -1, z = (-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[2, 6
, 4, 1, 5], [v = -2^(1/2), u = v, x = 0, y < -1, (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [0, 0], [-2, -2], [3, 3]]]], [[2, 8, 4, 5, 1], [v = -2^(1/2), u = -1
, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 8,
4, 5, 2], [v = -2^(1/2), u = -1, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1/2,
1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 8, 4, 5, 3], [v = -2^(1/2),
u = -1, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1/2,
1/2], [0, 0]]]], [[2, 8, 4, 5, 4], [v = -2^(1/2), u = -1, x = -1, And(0 < y,y
< 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1, -1], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2, 8, 4, 5,
5], [v = -2^(1/2), u = -1, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1/2,
1/2], [2, 2]]]], [[2, 13, 11, 4, 1], [v = -2^(1/2), And(1 < u,u < -v), 1 < x,
y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-2576463/1048576, -\
1288231/524288], [-2, -2]]]], [[2, 13, 11, 4, 2], [v = -2^(1/2), And(1 < u,u <
-v), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-\
2576463/1048576, -1288231/524288], [-1417877/2097152, -354469/524288]]]], [[2,
13, 11, 4, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = -u^2-x+1, And(-(u^
2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-2576463/1048576,
-1288231/524288], [0, 0]]]], [[2, 13, 11, 4, 4], [v = -2^(1/2), And(1 < u,u <
-v), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2], [-\
2576463/1048576, -1288231/524288], [354469/524288, 708939/1048576]]]], [[2, 13
, 11, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, y = -u^2-x+1, (u^2-1)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [2, 2], [-2576463/1048576, -1288231/524288], [2, 2]
]]], [[2, 15, 11, 8, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = 0,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [2, 2], [0, 0], [0, 0]]]], [[2, 19, 9, 1, 1], [v = -2^(1/2),
2 < u, And(1 < x,x < u^2-3), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-13, -13], [-5, -5]]
]], [[2, 19, 9, 1, 2], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), y < -u^2-x+
1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [7/2, 7/2], [-13, -13], [-3231929/1048576, -403991/131072]]]], [[2, 19,
9, 1, 3], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), y < -u^2-x+1, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7/2, 7/2], [-13, -13], [0, 0]]]], [[2, 19, 9, 1, 4], [v = -2
^(1/2), 2 < u, And(1 < x,x < u^2-3), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-13,
-13], [403991/131072, 3231929/1048576]]]], [[2, 19, 9, 1, 5], [v = -2^(1/2), 2
< u, And(1 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-13, -13], [5, 5]]]],
[[3, 2, 3, 9, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x
< -1), 1-x < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-2, -2], [4, 4], [0, 0]]]], [[3, 8, 2,
3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2)
, z < -(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [1, 1], [-2, -2]]]], [[3, 8, 2, 3,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z
= -(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [1, 1], [-1, -1]]]], [[3, 8, 2, 3,
3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), 
And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [1, 1], [0, 0]
]]], [[3, 8, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2,
And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [1, 1], [1, 1]
]]], [[3, 8, 2, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2,
And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-2, -2], [1, 1], [2, 2]
]]], [[3, 9, 11, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[3, 17, 1, 9, 1], [And(-
2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10],
[18, 18], [0, 0]]]], [[4, 1, 7, 8, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1)
, y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [13/2,
13/2], [0, 0]]]], [[4, 7, 5, 7, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x <
-u^2), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1/2, -1/2], [-5/8, -5/8], [1/2, 1/2], [-2, -2]]]], [[4, 7, 5, 7, 2], [v = -1
, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(-u^2-x < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [1/2, 1/2], [-\
46341/131072, -370727/1048576]]]], [[4, 7, 5, 7, 3], [v = -1, And(-1 < u,u < 0
), And(-1 < x,x < -u^2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [1/2, 1/2]
, [0, 0]]]], [[4, 7, 5, 7, 4], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2
), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2
, -1/2], [-5/8, -5/8], [1/2, 1/2], [370727/1048576, 46341/131072]]]], [[4, 7,
5, 7, 5], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(-u^2-x < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8],
[1/2, 1/2], [2, 2]]]], [[4, 9, 4, 6, 1], [v = -1, And(0 < u,u < 1), x = -1, y
= -u^2+1, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/4, 3/4]
, [-2, -2]]]], [[4, 9, 4, 6, 2], [v = -1, And(0 < u,u < 1), x = -1, y = -u^2+1
, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/4, 3/4], [-1/2,
-1/2]]]], [[4, 9, 4, 6, 3], [v = -1, And(0 < u,u < 1), x = -1, y = -u^2+1, And
(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/4, 3/4],
[0, 0]]]], [[4, 9, 4, 6, 4], [v = -1, And(0 < u,u < 1), x = -1, y = -u^2+1, z
= u], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/4, 3/4], [1/2, 1/2]]
]], [[4, 9, 4, 6, 5], [v = -1, And(0 < u,u < 1), x = -1, y = -u^2+1, u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [3/4, 3/4], [2, 2]]]], [[4, 13
, 5, 6, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2,
-1/2], [1/2, 1/2], [-1, -1]]]], [[4, 13, 5, 6, 2], [v = -1, And(2^(1/2) < u,u
< 3^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[4, 
13, 5, 6, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = -x
, 0 < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2
, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 15, 2, 5, 1], [v = -1, 3^(1/2) < u, x = -
u^2, And(u^2 < y,y < 2*u^2-2), z = z], [regular_chain, [[-1, -1], [3, 3], [-9,
-9], [25/2, 25/2], [0, 0]]]], [[5, 5, 5, 8, 1], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -\
1672995/2097152], [836497/1048576, 418249/524288], [-1, -1]]]], [[5, 5, 5, 8,
2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-\
1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [-1672995/2097152, -1672995/2097152], [836497/1048576, 418249/
524288], [0, 0]]]], [[5, 5, 5, 8, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [836497/1048576, 418249/524288], [1, 1]]]], [[5, 7, 6, 3, 1], [And(-\
1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z
< -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4],
[-1/4, -1/4], [-2, -2]]]], [[5, 7, 6, 3, 2], [And(-1 < v,v < 0), And(v < u,u <
-v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1/4, -1/4], [-1, -1]]]],
[[5, 7, 6, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, And(2
*u^2-2*v^2 < y,y < 0), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1/4, -1/4], [0, 0]]]],
[[5, 7, 6, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, And(2
*u^2-2*v^2 < y,y < 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [0, 0], [-3/4, -3/4], [-1/4, -1/4], [1, 1]]]], [[5, 7, 6, 3, 5], [And(-1 < v
,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), (u^2-v
^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [-1/4
, -1/4], [2, 2]]]], [[5, 8, 4, 5, 1], [And(-1 < v,v < 0), u = -v, x = 0, 0 < y
, z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]]
, [[5, 10, 5, 2, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0),
y = -x-2, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[5, 10, 5, 2, 2], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2
)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1
/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[5, 10, 5, 2, 3], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2
) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[5, 10, 5, 2, 4], [And(-1 < v
,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[5, 10, 5, 2, 5], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[-3/2, -3/2], [3, 3]]]], [[6, 2, 7, 6, 1], [v = 0, u = -2^(1/2), And(0 < x,x <
1), y = 0, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288]
, [1/2, 1/2], [0, 0], [0, 0]]]], [[6, 4, 5, 4, 1], [v = 0, u = -1, And(-1 < x,
x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/
2], [0, 0], [-2, -2]]]], [[6, 4, 5, 4, 2], [v = 0, u = -1, And(-1 < x,x < 0),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [0,
0], [-1482911/2097152, -741455/1048576]]]], [[6, 4, 5, 4, 3], [v = 0, u = -1,
And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[0, 0], [-1, -1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[6, 4, 5, 4, 4], [v = 0
, u = -1, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[6, 4, 5, 4
, 5], [v = 0, u = -1, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [0, 0], [2, 2]]]], [[6, 8, 7,
1, 1], [v = 0, u = 1, And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[6, 8, 7,
1, 2], [v = 0, u = 1, And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [-4, -4], [-7846825/4194304, -\
980853/524288]]]], [[6, 8, 7, 1, 3], [v = 0, u = 1, And(0 < x,x < 1), y < -x-2
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [
1/2, 1/2], [-4, -4], [0, 0]]]], [[6, 8, 7, 1, 4], [v = 0, u = 1, And(0 < x,x <
1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2],
[-4, -4], [980853/524288, 1961707/1048576]]]], [[6, 8, 7, 1, 5], [v = 0, u = 1
, And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1,
1], [1/2, 1/2], [-4, -4], [3, 3]]]], [[6, 10, 4, 4, 1], [v = 0, u = 2^(1/2), x
= -1, y = 0, z < -1], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576
], [-1, -1], [0, 0], [-2, -2]]]], [[6, 10, 4, 4, 2], [v = 0, u = 2^(1/2), x =
-1, y = 0, z = -1], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[-1, -1], [0, 0], [-1, -1]]]], [[6, 10, 4, 4, 3], [v = 0, u = 2^(1/2), x = -1,
y = 0, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[6, 10, 4, 4, 4], [v = 0, u = 2^(1/2),
x = -1, y = 0, z = 1], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [1, 1]]]], [[6, 10, 4, 4, 5], [v = 0, u = 2^(1/2),
x = -1, y = 0, 1 < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[7, 4, 7, 3, 1], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [
-3/2, -3/2], [-2, -2]]]], [[7, 4, 7, 3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-\
3/2, -3/2], [-1, -1]]]], [[7, 4, 7, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/
2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2,
1/2], [-3/2, -3/2], [0, 0]]]], [[7, 4, 7, 3, 4], [And(0 < v,v < 1), u = -(v^2+
1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-\
3/2, -3/2], [1, 1]]]], [[7, 4, 7, 3, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-3/2, -3/2], [2,
2]]]], [[7, 6, 5, 7, 1], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), 0 < y, z
= z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0]]]]
, [[7, 13, 7, 2, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[1/2, 1/2], [-41/4, -41/4], [-5, -5]]]], [[7, 13, 7, 2, 2], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-41/4, -41/4], [-1637089/
524288, -3274177/1048576]]]], [[7, 13, 7, 2, 3], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-41/4, -\
41/4], [0, 0]]]], [[7, 13, 7, 2, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And
(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [3, 3], [1/2, 1/2], [-41/4, -41/4], [3274177/1048576, 1637089/524288]]
]], [[7, 13, 7, 2, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1),
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3],
[1/2, 1/2], [-41/4, -41/4], [5, 5]]]], [[8, 2, 2, 3, 1], [v = 1, u = -3^(1/2),
x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[8, 2,
2, 3, 2], [v = 1, u = -3^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3/2,
3/2], [-1284239/1048576, -642119/524288]]]], [[8, 2, 2, 3, 3], [v = 1, u = -3^
(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3/2,
3/2], [0, 0]]]], [[8, 2, 2, 3, 4], [v = 1, u = -3^(1/2), x = -3, And(0 < y,y <
3), z = (3-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[8, 2, 2
, 3, 5], [v = 1, u = -3^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3/2,
3/2], [3, 3]]]], [[8, 7, 11, 2, 1], [v = 1, And(-1 < u,u < 0), 1 < x, y = u^2-
x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-15
/4, -15/4], [-3, -3]]]], [[8, 7, 11, 2, 2], [v = 1, And(-1 < u,u < 0), 1 < x,
y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2,
2], [-15/4, -15/4], [-10837/8192, -1387135/1048576]]]], [[8, 7, 11, 2, 3], [v
= 1, And(-1 < u,u < 0), 1 < x, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+
2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-15/4, -15/4], [0,
0]]]], [[8, 7, 11, 2, 4], [v = 1, And(-1 < u,u < 0), 1 < x, y = u^2-x-2, z = (
-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-15/4, -15/4],
[1387135/1048576, 10837/8192]]]], [[8, 7, 11, 2, 5], [v = 1, And(-1 < u,u < 0)
, 1 < x, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/
2], [2, 2], [-15/4, -15/4], [3, 3]]]], [[8, 9, 10, 5, 1], [v = 1, And(0 < u,u
< 1), x = 1, And(-u^2-1 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [1, 1], [-9/8, -9/8], [-2, -2]]]], [[8, 9, 10, 5, 2], [v = 1,
And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-9/8, -9/8], [-46341/131072, -\
370727/1048576]]]], [[8, 9, 10, 5, 3], [v = 1, And(0 < u,u < 1), x = 1, And(-u
^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[
1, 1], [1/2, 1/2], [1, 1], [-9/8, -9/8], [0, 0]]]], [[8, 9, 10, 5, 4], [v = 1,
And(0 < u,u < 1), x = 1, And(-u^2-1 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-9/8, -9/8], [370727/1048576, 
46341/131072]]]], [[8, 9, 10, 5, 5], [v = 1, And(0 < u,u < 1), x = 1, And(-u^2
-1 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1]
, [-9/8, -9/8], [2, 2]]]], [[8, 13, 10, 8, 1], [v = 1, And(2^(1/2) < u,u < 3^(
1/2)), x = 1, y = 0, z = z], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [1, 1], [0, 0], [0, 0]]]], [[8, 15, 8, 2, 1], [v = 1, 3^(1/2
) < u, x = 1, y = -u^2-1, z < -u], [regular_chain, [[1, 1], [3, 3], [1, 1], [-\
10, -10], [-4, -4]]]], [[8, 15, 8, 2, 2], [v = 1, 3^(1/2) < u, x = 1, y = -u^2
-1, z = -u], [regular_chain, [[1, 1], [3, 3], [1, 1], [-10, -10], [-3, -3]]]],
[[8, 15, 8, 2, 3], [v = 1, 3^(1/2) < u, x = 1, y = -u^2-1, And(-u < z,z < u)],
[regular_chain, [[1, 1], [3, 3], [1, 1], [-10, -10], [0, 0]]]], [[8, 15, 8, 2,
4], [v = 1, 3^(1/2) < u, x = 1, y = -u^2-1, z = u], [regular_chain, [[1, 1], [
3, 3], [1, 1], [-10, -10], [3, 3]]]], [[8, 15, 8, 2, 5], [v = 1, 3^(1/2) < u,
x = 1, y = -u^2-1, u < z], [regular_chain, [[1, 1], [3, 3], [1, 1], [-10, -10]
, [4, 4]]]], [[9, 5, 11, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) <
u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-12582911/4194304, -12582911/4194304], [-2, -2]]]],
[[9, 5, 11, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
2, 2], [-12582911/4194304, -12582911/4194304], [-8388607/8388608, -\
4398045986815/4398046511104]]]], [[9, 5, 11, 3, 3], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-12582911/
4194304, -12582911/4194304], [-3670015/8796093022208, -3670015/8796093022208]]
]], [[9, 5, 11, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v)
, 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-12582911/4194304, -12582911/4194304], [1048575/
1048576, 1]]]], [[9, 5, 11, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-12582911/4194304, -12582911/4194304], [2, 2]]]], [
[9, 8, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y = 0, z
< -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877
/2097152, -354469/524288], [-3, -3], [0, 0], [-3, -3]]]], [[9, 8, 1, 2, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[9, 8, 1
, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y = 0, And(-(-x)
^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3, -3], [0, 0], [-1/4194304, -\
1/4194304]]]], [[9, 8, 1, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2),
x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-1417877/2097152, -354469/524288], [-3, -3], [0, 0], [908093/524288
, 1816187/1048576]]]], [[9, 8, 1, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)
^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [0, 0], [3, 3]
]]], [[9, 9, 1, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [2336807/524288, 4673615/
1048576], [0, 0]]]], [[9, 11, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[0, 0], [-3, -3]]]], [[9, 11, 1, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[0, 0], [-1816187/1048576, -3632373/2097152]]]], [[9, 11, 1, 2, 3], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [987341/1048576, 987341/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]
]]], [[9, 11, 1, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [0, 0], [908093/
524288, 1816187/1048576]]]], [[9, 11, 1, 2, 5], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3,
-3], [0, 0], [3, 3]]]], [[9, 16, 7, 8, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2
)^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [1/2, 1/2], [0,
0]]]], [[10, 1, 5, 2, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), y = -u^2-x+
1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3
, -3], [-1/2, -1/2], [-15/2, -15/2], [-4, -4]]]], [[10, 1, 5, 2, 2], [v = 2^(1
/2), u < -2, And(-1 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-15
/2, -15/2], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 5, 2, 3], [v =
2^(1/2), u < -2, And(-1 < x,x < 0), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (
u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
-1/2, -1/2], [-15/2, -15/2], [-3/8388608, -3/8388608]]]], [[10, 1, 5, 2, 4], [
v = 2^(1/2), u < -2, And(-1 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-15
/2, -15/2], [741455/262144, 2965821/1048576]]]], [[10, 1, 5, 2, 5], [v = 2^(1/
2), u < -2, And(-1 < x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-15
/2, -15/2], [4, 4]]]], [[10, 5, 1, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), x < -u^2+1, -x < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-3, -3], [4, 4], [0, 0]]]], [
[10, 7, 3, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), y <
u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152],
[-2, -2], [-3, -3]]]], [[10, 7, 3, 1, 2], [v = 2^(1/2), And(-v < u,u < -1), 
And(u^2-3 < x,x < -1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-2, -2], [-7586297/4194304, -948287/
524288]]]], [[10, 7, 3, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x
,x < -1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-2, -2], [0, 0]]]], [[10, 7,
3, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), y < u^2-x-3
, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-2,
-2], [948287/524288, 1896575/1048576]]]], [[10, 7, 3, 1, 5], [v = 2^(1/2), And
(-v < u,u < -1), And(u^2-3 < x,x < -1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-2, -2], [3, 3]]]], [[10, 12,
7, 5, 1], [v = 2^(1/2), u = 1, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [-1/4, -\
1/4], [0, 0]]]], [[10, 14, 6, 6, 1], [v = 2^(1/2), u = v, x = 1, y = 0, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [0, 0], [0, 0]]]], [[11, 2, 1, 8, 1], [2^(1/2) < v, u = -(v^
2+2)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[3, 3], [-1738867/524288
, -3477733/1048576], [-4, -4], [5, 5], [0, 0]]]], [[11, 3, 10, 4, 1], [2^(1/2)
< v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-1, -1]
, [-1, -1]]]], [[11, 3, 10, 4, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1, 1], [-1, -1], [0, 0]]]], [[11, 3, 10, 4, 3], [
2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, 0 < z]
, [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-1,
-1], [1, 1]]]], [[11, 9, 9, 8, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(
v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [0
, 0], [0, 0]]]], [[11, 11, 7, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-21/2, -21/2], [-5, -5]]]], [[11,
11, 7, 2, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 <
x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [1/2, 1/2], [-21/2, -21/2], [-3315889/1048576, -207243/65536]]]], [[11
, 11, 7, 2, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0
< x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2
))], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-21/2, -21/2], [0, 0]]]], [
[11, 11, 7, 2, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [0, 0], [1/2, 1/2], [-21/2, -21/2], [207243/65536, 3315889/1048576]]]],
[[11, 11, 7, 2, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
3, 3], [0, 0], [1/2, 1/2], [-21/2, -21/2], [5, 5]]]], [[11, 15, 4, 2, 1], [2^(
1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1]
, [-1064009/2097152, -133001/262144], [-3, -3]]]], [[11, 15, 4, 2, 2], [2^(1/2
) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [
-1064009/2097152, -133001/262144], [-1287385/1048576, -160923/131072]]]], [[11
, 15, 4, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^
2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/
262144], [0, 0]]]], [[11, 15, 4, 2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/262144
], [160923/131072, 1287385/1048576]]]], [[11, 15, 4, 2, 5], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [3, 3]]]], [[11, 17, 5, 1, 1], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [-2, -2], [-3, -3]]]], [[11, 17, 5, 1, 2],
[2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^
2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [-3479815/2097152, -\
1739907/1048576]]]], [[11, 17, 5, 1, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [-2, -2], [0, 0]]]], [[11, 17, 5, 1, 4], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2
+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [1739907/1048576, 
434977/262144]]]], [[11, 17, 5, 1, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/
2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [-2, -2], [3, 3]]]], [[1, 1, 4, 9, 1], [v < -2^(1/2), u < -(
v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = z], [regular_chain, [[-3, -3], [-5, -5]
, [-1, -1], [17, 17], [0, 0]]]], [[1, 3, 1, 8, 1], [v < -2^(1/2), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1178087/262144, 4712349/1048576], [0, 0]]]], [[1, 9, 1, 9, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, -u^2+v^2-x-1 < y, z
= z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4,
-4], [6, 6], [0, 0]]]], [[1, 10, 7, 8, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2),
And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[1, 14, 3, 7,
1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [3,
3], [0, 0]]]], [[1, 16, 2, 2, 1], [v < -2^(1/2), u = -v, x = -1, y = 0, z < -1
], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[1, 16,
2, 2, 2], [v < -2^(1/2), u = -v, x = -1, y = 0, z = -1], [regular_chain, [[-3,
-3], [3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[1, 16, 2, 2, 3], [v < -2^(1/2),
u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3],
[-1, -1], [0, 0], [0, 0]]]], [[1, 16, 2, 2, 4], [v < -2^(1/2), u = -v, x = -1,
y = 0, z = 1], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [0, 0], [1, 1]]]],
[[1, 16, 2, 2, 5], [v < -2^(1/2), u = -v, x = -1, y = 0, 1 < z], [
regular_chain, [[-3, -3], [3, 3], [-1, -1], [0, 0], [2, 2]]]], [[1, 21, 11, 3,
1], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [-49/2,
-49/2], [-4, -4]]]], [[1, 21, 11, 3, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [5, 5], [16, 16], [-49/2, -49/2], [-24456785/8388608, -1528549/
524288]]]], [[1, 21, 11, 3, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 <
x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [-49/2, -49/2], [0, 0]]]], [[1, 21
, 11, 3, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [
-49/2, -49/2], [1528549/524288, 3057099/1048576]]]], [[1, 21, 11, 3, 5], [v <
-2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-
y)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [16, 16], [-49/2, -49/2], [4
, 4]]]], [[2, 2, 5, 9, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), 1-x < y,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2,
-1/2], [3, 3], [0, 0]]]], [[2, 9, 7, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0),
And(0 < x,x < -u^2+1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [-5, -5], [-4, -4]
]]], [[2, 9, 7, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1)
, y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [3/8, 3/8], [-5, -5], [-281881/131072, -2255047/
1048576]]]], [[2, 9, 7, 1, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x <
-u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [-5, -5], [0,
0]]]], [[2, 9, 7, 1, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+
1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/8, 3/8], [-5, -5], [2255047/1048576, 281881/
131072]]]], [[2, 9, 7, 1, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x <
-u^2+1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/8, 3/8], [-5, -5], [4, 4]]]], [[2, 11, 3, 9,
1], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), -u^2-x+1 < y, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -\
15/8], [4, 4], [0, 0]]]], [[2, 17, 4, 1, 1], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), x = -1, y < -u^2+2, z < -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [-3, -\
3], [-3, -3]]]], [[2, 17, 4, 1, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x =
-1, y < -u^2+2, z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [-3, -3], [-2, -2]]]],
[[2, 17, 4, 1, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y < -u^2+2,
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [-3, -3], [0, 0]
]]], [[2, 17, 4, 1, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y < -u^
2+2, z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1, -1], [-3, -3], [2, 2]]]], [[2, 17, 4,
1, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y < -u^2+2, (1-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-1, -1], [-3, -3], [3, 3]]]], [[2, 18, 9, 9, 1], [v = -2^(1
/2), u = 2, 1 < x, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [2, 2], [1, 1], [0, 0]]]], [[3, 3, 5, 2, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-\
16598637/8388608, -66394547/33554432], [-3, -3]]]], [[3, 3, 5, 2, 2], [And(-2^
(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [-16598637/8388608, -66394547/33554432], [-3301741/2097152, -825435/524288
]]]], [[3, 3, 5, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-16598637/
8388608, -66394547/33554432], [0, 0]]]], [[3, 3, 5, 2, 4], [And(-2^(1/2) < v,v
< -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2
+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-16598637/
8388608, -66394547/33554432], [825435/524288, 1650871/1048576]]]], [[3, 3, 5,
2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-1/2, -1/2], [-16598637/8388608, -66394547/33554432], [3, 3]]]], [[3, 5, 4, 1
, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u
^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-2, -2], [-3, -3]]]
], [[3, 5, 4, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-2, -2], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 5, 4, 1, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[3, 5, 4, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-\
2, -2], [908093/524288, 1816187/1048576]]]], [[3, 5, 4, 1, 5], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+v^2, (1-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-1, -1], [-2, -2], [3, 3]]]], [[3, 11, 4, 2, 1], [And(-2^(
1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152]
, [-3, -3]]]], [[3, 11, 4, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1
], [-598205/1048576, -1196409/2097152], [-1314069/1048576, -328517/262144]]]],
[[3, 11, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x
= -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [0, 0]]]], [[3, 11, 4
, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y =
u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -\
1196409/2097152], [328517/262144, 1314069/1048576]]]], [[3, 11, 4, 2, 5], [And
(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, (-u
^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152]
, [3, 3]]]], [[3, 13, 4, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -\
1], [490235/1048576, 122559/262144], [-2, -2]]]], [[3, 13, 4, 6, 2], [And(-2^(
1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1, -1], [490235/1048576, 122559/262144],
[-765155/1048576, -1530309/2097152]]]], [[3, 13, 4, 6, 3], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(
1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [490235/
1048576, 122559/262144], [-1/4194304, -1/4194304]]]], [[3, 13, 4, 6, 4], [And(
-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1, -1], [490235/1048576, 122559/262144],
[382577/524288, 765155/1048576]]]], [[3, 13, 4, 6, 5], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [490235/1048576, 122559/262144], [2, 2]]]], [[3, 
14, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y < 0, z <
-(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659
/1048576, 410915/262144], [-2, -2], [-1, -1], [-3, -3]]]], [[3, 14, 2, 1, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [
[3, 14, 2, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -2, y < 0,
And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [-1, -1], [-1/
4194304, -1/4194304]]]], [[3, 14, 2, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [-1, -\
1], [908093/524288, 1816187/1048576]]]], [[3, 14, 2, 1, 5], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-2, -\
2], [-1, -1], [3, 3]]]], [[3, 15, 11, 7, 1], [And(-2^(1/2) < v,v < -1), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-3190373/4194304, -3190373/4194304], [0, 0]]]], [[4, 4, 2, 3
, 1], [v = -1, u = -2^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1]
, [-2, -2]]]], [[4, 4, 2, 3, 2], [v = -1, u = -2^(1/2), x = -2, And(0 < y,y <
2), z = -(2-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [-1, -1]]]], [[4, 4, 2, 3, 3], [v = -1, u = -2^(1/2
), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1]
, [0, 0]]]], [[4, 4, 2, 3, 4], [v = -1, u = -2^(1/2), x = -2, And(0 < y,y < 2)
, z = (2-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [1, 1]]]], [[4, 4, 2, 3, 5], [v = -1, u = -2^(1/2),
x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-2, -2], [1, 1], [2, 2]]]], [[4, 5, 11, 9,
1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, 0 < y, z = z], [regular_chain, [
[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[4
, 10, 2, 2, 1], [v = -1, u = 1, x = -1, y = 0, z < -1], [regular_chain, [[-1,
-1], [1, 1], [-1, -1], [0, 0], [-2, -2]]]], [[4, 10, 2, 2, 2], [v = -1, u = 1,
x = -1, y = 0, z = -1], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [0, 0], [
-1, -1]]]], [[4, 10, 2, 2, 3], [v = -1, u = 1, x = -1, y = 0, And(-1 < z,z < 1
)], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [0, 0], [0, 0]]]], [[4, 10, 2
, 2, 4], [v = -1, u = 1, x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [1,
1], [-1, -1], [0, 0], [1, 1]]]], [[4, 10, 2, 2, 5], [v = -1, u = 1, x = -1, y
= 0, 1 < z], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [0, 0], [2, 2]]]], [
[4, 12, 3, 1, 1], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x
-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2
, -3/2], [-2, -2], [-3, -3]]]], [[4, 12, 3, 1, 2], [v = -1, u = 2^(1/2), And(-\
2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -\
980853/524288]]]], [[4, 12, 3, 1, 3], [v = -1, u = 2^(1/2), And(-2 < x,x < -1)
, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1
], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[4, 
12, 3, 1, 4], [v = -1, u = 2^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(
1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/
2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[4, 12, 3, 1, 5], [v = -1,
u = 2^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-3/2, -3/2], [-2, -2], [3, 3]]]]
, [[5, 2, 5, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0),
And(-x < y,y < 1-x), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/
2, -1/2], [1, 1], [0, 0]]]], [[5, 4, 3, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2]
, [-1/4, -1/4], [-3, -3]]]], [[5, 4, 3, 3, 2], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2]
, [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[5, 4, 3, 3, 3], [And(-1
< v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[5, 4, 3, 3
, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y
,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]]
, [[5, 4, 3, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1)
, And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[5,
11, 7, 5, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(0 < x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -\
1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-\
243021/2097152, -243021/2097152], [0, 0]]]], [[5, 13, 4, 4, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = -1, y = 0, z < -1], [regular_chain, [[-1/2, -1/2]
, [3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[5, 13, 4, 4, 2], [And(-1 < v,v < 0)
, (v^2+2)^(1/2) < u, x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2], [3
, 3], [-1, -1], [0, 0], [-1, -1]]]], [[5, 13, 4, 4, 3], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1
/2], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[5, 13, 4, 4, 4], [And(-1 < v,v < 0
), (v^2+2)^(1/2) < u, x = -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [3
, 3], [-1, -1], [0, 0], [1, 1]]]], [[5, 13, 4, 4, 5], [And(-1 < v,v < 0), (v^2
+2)^(1/2) < u, x = -1, y = 0, 1 < z], [regular_chain, [[-1/2, -1/2], [3, 3], [
-1, -1], [0, 0], [2, 2]]]], [[6, 5, 7, 7, 1], [v = 0, And(-1 < u,u < 0), And(u
^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0
], [-1/2, -1/2], [-3/8, -3/8], [3/16, 3/16], [-2, -2]]]], [[6, 5, 7, 7, 2], [v
= 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [3/16, 3/16], [-\
454047/1048576, -227023/524288]]]], [[6, 5, 7, 7, 3], [v = 0, And(-1 < u,u < 0
), And(u^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [3/16, 3/16], [0,
0]]]], [[6, 5, 7, 7, 4], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(
0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8
, -3/8], [3/16, 3/16], [227023/524288, 454047/1048576]]]], [[6, 5, 7, 7, 5], [
v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [3/16, 3/16], [2,
2]]]], [[6, 7, 8, 2, 1], [v = 0, And(0 < u,u < 1), x = 0, y = -u^2-1, z < -(u^
2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-5/4, -5/4], [-3, -\
3]]]], [[6, 7, 8, 2, 2], [v = 0, And(0 < u,u < 1), x = 0, y = -u^2-1, z = -(u^
2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-5/4, -5/4], [-\
146543/131072, -1172343/1048576]]]], [[6, 7, 8, 2, 3], [v = 0, And(0 < u,u < 1
), x = 0, y = -u^2-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-5/4, -5/4], [0, 0]]]], [[6, 7, 8
, 2, 4], [v = 0, And(0 < u,u < 1), x = 0, y = -u^2-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-5/4, -5/4], [1172343/1048576, 
146543/131072]]]], [[6, 7, 8, 2, 5], [v = 0, And(0 < u,u < 1), x = 0, y = -u^2
-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-5/4, -5
/4], [3, 3]]]], [[6, 11, 5, 6, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y =
-x, z < 0], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-1, -1
]]]], [[6, 11, 5, 6, 2], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = -x, z = 0
], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[6,
11, 5, 6, 3], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[7, 1, 
11, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-x < y,y
< u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-41/8,
-41/8], [0, 0]]]], [[7, 7, 9, 6, 1], [And(0 < v,v < 1), And(-v < u,u < v), And
(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2]
, [-1/2, -1/2], [-1, -1]]]], [[7, 7, 9, 6, 2], [And(0 < v,v < 1), And(-v < u,u
< v), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [0, 0], [
1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[7, 7, 9, 6, 3], [And(0 < v,v < 1), And(-
v < u,u < v), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [
0, 0], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[7, 9, 10, 1, 1], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-4, -\
4], [-3, -3]]]], [[7, 9, 10, 1, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(
1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[7, 9, 10, 1, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+
1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-4, -\
4], [-1/4194304, -1/4194304]]]], [[7, 9, 10, 1, 4], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain
, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-4, -4], [908093/
524288, 1816187/1048576]]]], [[7, 9, 10, 1, 5], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-4, -4], [3, 3]]]], [[
7, 10, 8, 6, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/131072], [1, 1], [0, 0],
[0, 0]]]], [[7, 12, 6, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, y =
-3, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3, -3],
[-3, -3]]]], [[7, 12, 6, 2, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, y
= -3, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[7, 12, 6, 2, 3], [And(0 < v,v < 1
), u = (v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[7, 12, 6, 2, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, y
= -3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3, -3],
[908093/524288, 1816187/1048576]]]], [[7, 12, 6, 2, 5], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [0, 0], [-3, -3], [3, 3]]]], [[8, 4, 9, 3, 1], [v = 1, u = -2^(1/2), 1 <
x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-2, -2]]]], [[8, 4, 9, 3,
2], [v = 1, u = -2^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3],
[-1, -1]]]], [[8, 4, 9, 3, 3], [v = 1, u = -2^(1/2), 1 < x, And(-x-2 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [0, 0]]]], [[8, 4, 9, 3, 4
], [v = 1, u = -2^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3],
[1, 1]]]], [[8, 4, 9, 3, 5], [v = 1, u = -2^(1/2), 1 < x, And(-x-2 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [2, 2], [-3, -3], [2, 2]]]], [[8, 7, 1, 4, 1], [v = 1, And(-1 < u,u <
0), x < u^2-2, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1
/2, -1/2], [-3, -3], [5/4, 5/4], [-3, -3]]]], [[8, 7, 1, 4, 2], [v = 1, And(-1
< u,u < 0), x < u^2-2, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1,
1], [-1/2, -1/2], [-3, -3], [5/4, 5/4], [-10837/8192, -1387135/1048576]]]], [[
8, 7, 1, 4, 3], [v = 1, And(-1 < u,u < 0), x < u^2-2, y = u^2-x-2, And(-(-u^2+
2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-3,
-3], [5/4, 5/4], [0, 0]]]], [[8, 7, 1, 4, 4], [v = 1, And(-1 < u,u < 0), x < u
^2-2, y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2],
[-3, -3], [5/4, 5/4], [1387135/1048576, 10837/8192]]]], [[8, 7, 1, 4, 5], [v =
1, And(-1 < u,u < 0), x < u^2-2, y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [5/4, 5/4], [3, 3]]]], [[8, 11
, 1, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-3, -3], [5722191/2097152, 5722191/2097152], [-2, -2]]]], [[8, 11, 1, 7, 2
], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3,
-3], [5722191/2097152, 5722191/2097152], [-273157/524288, -1092627/2097152]]]]
, [[8, 11, 1, 7, 3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [5722191/2097152, 5722191/2097152
], [-1/4194304, -1/4194304]]]], [[8, 11, 1, 7, 4], [v = 1, And(1 < u,u < 2^(1/
2)), x < -u^2, And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [5722191/2097152, 5722191/
2097152], [546313/1048576, 273157/524288]]]], [[8, 11, 1, 7, 5], [v = 1, And(1
< u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [5722191
/2097152, 5722191/2097152], [2, 2]]]], [[8, 13, 1, 1, 1], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), x < -u^2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [-4, -4], [-1, -1], [-4, -4]]]], [[8, 13
, 1, 1, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y < 0, z = -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4]
, [-1, -1], [-146543/65536, -2344687/1048576]]]], [[8, 13, 1, 1, 3], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -\
4], [-1, -1], [0, 0]]]], [[8, 13, 1, 1, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2
)), x < -u^2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]
]]], [[8, 13, 1, 1, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y < 0,
(-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152]
, [-4, -4], [-1, -1], [4, 4]]]], [[9, 3, 2, 2, 1], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [0, 0], [-3,
-3]]]], [[9, 3, 2, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [0, 0], [-3301741/
2097152, -825435/524288]]]], [[9, 3, 2, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/
1048576], [0, 0], [0, 0]]]], [[9, 3, 2, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608
, -14373233/8388608], [-1299559/524288, -2599117/1048576], [0, 0], [825435/
524288, 1650871/1048576]]]], [[9, 3, 2, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-1299559/524288, -2599117/1048576], [0, 0], [3, 3]]]], [[
9, 5, 1, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -
u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [2, 2], [-2, -2]]]], [[9, 5, 1, 5, 2], [And(1 < v,
v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2-x-1
< y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [2, 2], [-1,
-1]]]], [[9, 5, 1, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [-3, -3], [2, 2], [0, 0]]]], [[9, 5, 1, 5
, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1,
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [2, 2], [1, 1]]]], [[9, 5, 1, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1
)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-
x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [2, 2], [2, 2]]]], [[9, 11, 10,
9, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, 0 < y, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [1, 1], [0, 0]]]], [[9, 13, 11, 8, 1], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2
], [0, 0], [0, 0]]]], [[10, 2, 3, 9, 1], [v = 2^(1/2), u = -2, And(-3 < x,x <
-1), 1-x < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [-2, -2], [4, 4], [0, 0]]]], [[10, 4, 1, 3, 1], [v = 2^(1/2), u = -3^(1/2
), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [1/2
, 1/2], [-3, -3]]]], [[10, 4, 1, 3, 2], [v = 2^(1/2), u = -3^(1/2), x < -2, 
And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [1/2, 1/2],
[-3315889/2097152, -207243/131072]]]], [[10, 4, 1, 3, 3], [v = 2^(1/2), u = -3
^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373
/2097152], [-3, -3], [1/2, 1/2], [0, 0]]]], [[10, 4, 1, 3, 4], [v = 2^(1/2), u
= -3^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/2097152], [-3, -3
], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[10, 4, 1, 3, 5], [v = 2^
(1/2), u = -3^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3, -3], [1/2, 1/2], [3, 3]]]], [[10, 8, 1, 6, 1], [v = 2^(1/2), u
= -1, x < -2, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576
], [-1, -1], [-3, -3], [3, 3], [-1, -1]]]], [[10, 8, 1, 6, 2], [v = 2^(1/2), u
= -1, x < -2, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576
], [-1, -1], [-3, -3], [3, 3], [0, 0]]]], [[10, 8, 1, 6, 3], [v = 2^(1/2), u =
-1, x < -2, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [-3, -3], [3, 3], [1, 1]]]], [[10, 9, 11, 9, 1], [v = 2^(1/2), And(-\
1 < u,u < 0), 1 < x, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [2, 2], [1, 1], [0, 0]]]], [[10, 15, 9, 8, 1], [v = 2^
(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = 0, z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2,
1/2], [0, 0], [0, 0]]]], [[10, 17, 9, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u <
2), And(u^2-3 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/
524288, 388511/524288], [-1689821/524288, -3379641/1048576], [-3, -3]]]], [[10
, 17, 9, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y
= -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/524288],
[-1689821/524288, -3379641/1048576], [-825991/524288, -3303963/2097152]]]], [[
10, 17, 9, 2, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1),
y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/
524288, 388511/524288], [-1689821/524288, -3379641/1048576], [-1/4194304, -1/
4194304]]]], [[10, 17, 9, 2, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2
-3 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/524288,
388511/524288], [-1689821/524288, -3379641/1048576], [1651981/1048576, 825991/
524288]]]], [[10, 17, 9, 2, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-\
3 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/524288,
388511/524288], [-1689821/524288, -3379641/1048576], [3, 3]]]], [[10, 18, 5, 7
, 1], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [1, 1]
, [0, 0]]]], [[11, 1, 3, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-9, -9], [-4, -4], [-5, -5]]]], [[11, 1, 3,
3, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+
v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9
, -9], [-4, -4], [-3780695/1048576, -7561389/2097152]]]], [[11, 1, 3, 3, 3], [
2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3],
[-5, -5], [-9, -9], [-4, -4], [-1/4194304, -1/4194304]]]], [[11, 1, 3, 3, 4],
[2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-\
4, -4], [1890347/524288, 3780695/1048576]]]], [[11, 1, 3, 3, 5], [2^(1/2) < v,
u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (
-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-4, -4], [5, 5
]]]], [[11, 6, 7, 5, 1], [2^(1/2) < v, u = -v, 1 < x, And(-x < y,y < 0), z = z
], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-1, -1], [0, 0]]]], [[11, 8, 8,
6, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, y = 0, z = z], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [0, 0], [0, 0]]]], [[
11, 12, 4, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y < -2, z < -(1-y)^
(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [-3,
-3], [-3, -3]]]], [[11, 12, 4, 1, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1,
y < -2, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-1, -1], [-3, -3], [-2, -2]]]], [[11, 12, 4, 1, 3], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -1], [-3, -3], [0,
0]]]], [[11, 12, 4, 1, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = -1, y < -2, z
= (1-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1, -\
1], [-3, -3], [2, 2]]]], [[11, 12, 4, 1, 5], [2^(1/2) < v, u = (v^2-2)^(1/2),
x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1, -1], [-3, -3], [3, 3]]]], [[11, 14, 1, 4, 1], [2^(1/2) < v,
u = (v^2-1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[11, 14, 1, 4
, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [1, 1], [-\
1482911/1048576, -741455/524288]]]], [[11, 14, 1, 4, 3], [2^(1/2) < v, u = (v^
2-1)^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [1, 1], [0, 0]]]], [[11,
14, 1, 4, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [1, 1], [
741455/524288, 1482911/1048576]]]], [[11, 14, 1, 4, 5], [2^(1/2) < v, u = (v^2
-1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3, -3], [1, 1], [3, 3]]]], [[11, 19, 11, 8, 1], [2
^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [0, 0], [0
, 0]]]], [[11, 21, 9, 2, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^
2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [8, 8], [-25, -25], [-6, -6]]]], [[11, 21, 9, 2, 2], [2^(1/2) < v, (v^
2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [5, 5], [8, 8], [-25, -25], [-2161695/524288,
-4323389/1048576]]]], [[11, 21, 9, 2, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And
(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [8, 8], [-25, -25], [0, 0]]]],
[[11, 21, 9, 2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [8,
8], [-25, -25], [4323389/1048576, 2161695/524288]]]], [[11, 21, 9, 2, 5], [2^(
1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [8, 8], [-25, -25], [6, 6]
]]], [[1, 4, 1, 2, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y = 0, z < -
(-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3
, -3], [0, 0], [-3, -3]]]], [[1, 4, 1, 2, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2
), x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152
]]]], [[1, 4, 1, 2, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y = 0, And(
-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576
, -207243/65536], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 4, 1, 2,
4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [0, 0],
[908093/524288, 1816187/1048576]]]], [[1, 4, 1, 2, 5], [v < -2^(1/2), u = -(v^
2+1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3, -3], [0, 0], [3, 3]]]], [[1, 5, 11, 1, 1
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
2, 2], [-5, -5], [-3, -3]]]], [[1, 5, 11, 1, 2], [v < -2^(1/2), And(-(v^2+1)^(
1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[1, 5, 11, 1, 3], [v < -2^(1/2), And(-(v^2+1)^
(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-\
5, -5], [-1/4194304, -1/4194304]]]], [[1, 5, 11, 1, 4], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[1, 5, 11, 1, 5], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-5, -5],
[3, 3]]]], [[1, 11, 8, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), x = 1, -u^2+v^2-2 < y, z = z], [regular_chain, [[-3, -3], [0, 0], [1
, 1], [8, 8], [0, 0]]]], [[1, 13, 5, 8, 1], [v < -2^(1/2), And((v^2-2)^(1/2) <
u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
264331/262144, 1057325/1048576], [0, 0]]]], [[1, 17, 7, 1, 1], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-3, -3], [-3, -3]]]], [[1, 17, 7, 1, 2],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u
^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [-3, -3], [-7565219/
4194304, -3782609/2097152]]]], [[1, 17, 7, 1, 3], [v < -2^(1/2), And(-v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-3, -3], [-1/4194304, -1/
4194304]]]], [[1, 17, 7, 1, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304
], [-3, -3], [236413/131072, 1891305/1048576]]]], [[1, 17, 7, 1, 5], [v < -2^(
1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-\
1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-1062385/4194304, -1062385/4194304], [-3, -3], [3, 3]]]], [[1, 19, 5, 7, 1
], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0),
And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [391655/524288, 391655/524288], [0, 0
]]]], [[2, 3, 7, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x <
u^2-3), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [-6216173/4194304, -6216173/4194304], [-3, -3
]]]], [[2, 3, 7, 3, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x <
u^2-3), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [-6216173/4194304, -6216173/4194304], [-4563/
4096, -1168127/1048576]]]], [[2, 3, 7, 3, 3], [v = -2^(1/2), And(-2 < u,u < -3
^(1/2)), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-\
6216173/4194304, -6216173/4194304], [0, 0]]]], [[2, 3, 7, 3, 4], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-\
6216173/4194304, -6216173/4194304], [1168127/1048576, 4563/4096]]]], [[2, 3, 7
, 3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(-u
^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/
2097152], [-6216173/4194304, -6216173/4194304], [3, 3]]]], [[2, 5, 5, 9, 1], [
v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), -x < y, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [2, 2], [0, 0]]]], [[2,
6, 4, 2, 1], [v = -2^(1/2), u = v, x = 0, y = -1, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0],
[-1, -1], [-2, -2]]]], [[2, 6, 4, 2, 2], [v = -2^(1/2), u = v, x = 0, y = -1,
z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [-1, -1]]]], [[2, 6, 4, 2, 3], [v
= -2^(1/2), u = v, x = 0, y = -1, And(-1 < z,z < 1)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [0, 0],
[-1, -1], [0, 0]]]], [[2, 6, 4, 2, 4], [v = -2^(1/2), u = v, x = 0, y = -1, z
= 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [0, 0], [-1, -1], [1, 1]]]], [[2, 6, 4, 2, 5], [v = -2^(1/2),
u = v, x = 0, y = -1, 1 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [2, 2]]]], [[2,
8, 4, 6, 1], [v = -2^(1/2), u = -1, x = -1, y = 1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1, 1], [-1, -1]]]], [[2
, 8, 4, 6, 2], [v = -2^(1/2), u = -1, x = -1, y = 1, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1, 1], [0, 0]]]], [[2
, 8, 4, 6, 3], [v = -2^(1/2), u = -1, x = -1, y = 1, 0 < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [1, 1], [1, 1]]]], [[2
, 13, 11, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(u^2-x-3 < y,y <
-u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[
2, 13, 11, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(u^2-x-3 < y,y <
-u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[
2, 13, 11, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, And(u^2-x-3 < y,y <
-u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[-3, -3], [0, 0]]]], [[2, 13, 11, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), 1 <
x, And(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[-3, -3], [1, 1]]]], [[2, 13, 11, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), 1 <
x, And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [2, 2],
[-3, -3], [2, 2]]]], [[2, 15, 11, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-1, -1], [0, 0]]]
], [[2, 19, 9, 2, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1
, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [7/2, 7/2], [-23/2, -23/2], [-4, -4]]]], [[2, 19, 9, 2, 2], [v = -2^(1/2
), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-23/2
, -23/2], [-2965821/1048576, -11863283/4194304]]]], [[2, 19, 9, 2, 3], [v = -2
^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z <
(u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[7/2, 7/2], [-23/2, -23/2], [-3/8388608, -3/8388608]]]], [[2, 19, 9, 2, 4], [v
= -2^(1/2), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-23/2
, -23/2], [741455/262144, 2965821/1048576]]]], [[2, 19, 9, 2, 5], [v = -2^(1/2
), 2 < u, And(1 < x,x < u^2-3), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [-23/2
, -23/2], [4, 4]]]], [[3, 2, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-3, -3], [
-3, -3]]]], [[3, 2, 4, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x
= -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-3, -3], [-2, -2]]]
], [[3, 2, 4, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -1, y
< -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-\
3, -3], [0, 0]]]], [[3, 2, 4, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(
1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-3, -3], [2
, 2]]]], [[3, 2, 4, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x =
-1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-3, -3], [3, 3]]]],
[[3, 8, 2, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y = 0
, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [0, 0], [-3, -3]]]], [[3, 8, 2, 2,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y = 0, z = -2^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[3,
8, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y = 0, And
(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-2, -2], [0, 0], [0, 0]]]], [[3
, 8, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y = 0, z
= 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]
], [[3, 8, 2, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -2, y
= 0, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-2, -2], [0, 0], [3, 3]]]], [[3, 9, 11, 8,
1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 <
x, y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [2, 2], [0, 0], [0, 0]]]], [[3, 17, 1, 8, 1], [And(-2^(1/2) < v,v < -1), (v
^2+2)^(1/2) < u, x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [17346481/1048576, 
8673241/524288], [0, 0]]]], [[4, 1, 7, 7, 1], [v = -1, u < -3^(1/2), And(0 < x
,x < 1), And(0 < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [-3, -3],
[1/2, 1/2], [13/4, 13/4], [0, 0]]]], [[4, 7, 5, 8, 1], [v = -1, And(-1 < u,u <
0), And(-1 < x,x < -u^2), y = -x, z < 0], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-5/8, -5/8], [5/8, 5/8], [-1, -1]]]], [[4, 7, 5, 8, 2], [v = -1, And(-1
< u,u < 0), And(-1 < x,x < -u^2), y = -x, z = 0], [regular_chain, [[-1, -1], [
-1/2, -1/2], [-5/8, -5/8], [5/8, 5/8], [0, 0]]]], [[4, 7, 5, 8, 3], [v = -1, 
And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = -x, 0 < z], [regular_chain, [[-1,
-1], [-1/2, -1/2], [-5/8, -5/8], [5/8, 5/8], [1, 1]]]], [[4, 9, 4, 7, 1], [v =
-1, And(0 < u,u < 1), x = -1, And(-u^2+1 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [7/8, 7/8], [-2, -2]]]], [[4,
9, 4, 7, 2], [v = -1, And(0 < u,u < 1), x = -1, And(-u^2+1 < y,y < 1), z = -(1
-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [7/8, 7/8], [-\
46341/131072, -370727/1048576]]]], [[4, 9, 4, 7, 3], [v = -1, And(0 < u,u < 1)
, x = -1, And(-u^2+1 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [7/8, 7/8], [0, 0]]]], [[4, 9,
4, 7, 4], [v = -1, And(0 < u,u < 1), x = -1, And(-u^2+1 < y,y < 1), z = (1-y)^
(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [7/8, 7/8], [370727/
1048576, 46341/131072]]]], [[4, 9, 4, 7, 5], [v = -1, And(0 < u,u < 1), x = -1
, And(-u^2+1 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/
2], [-1, -1], [7/8, 7/8], [2, 2]]]], [[4, 13, 5, 5, 1], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1
/4, 1/4], [-2, -2]]]], [[4, 13, 5, 5, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[4, 13, 5, 5, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x
,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1
/4, 1/4], [0, 0]]]], [[4, 13, 5, 5, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]
]], [[4, 13, 5, 5, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0
), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[4, 15, 2, 4,
1], [v = -1, 3^(1/2) < u, x = -u^2, y = u^2, z < 0], [regular_chain, [[-1, -1]
, [3, 3], [-9, -9], [9, 9], [-1, -1]]]], [[4, 15, 2, 4, 2], [v = -1, 3^(1/2) <
u, x = -u^2, y = u^2, z = 0], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [9,
9], [0, 0]]]], [[4, 15, 2, 4, 3], [v = -1, 3^(1/2) < u, x = -u^2, y = u^2, 0 <
z], [regular_chain, [[-1, -1], [3, 3], [-9, -9], [9, 9], [1, 1]]]], [[5, 5, 5,
9, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v
^2-1), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [2, 2], [0, 0]]]], [[5
, 7, 6, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 0, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [0
, 0], [-2, -2]]]], [[5, 7, 6, 4, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x
= -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
0, 0], [-3/4, -3/4], [0, 0], [-1816187/2097152, -3632373/4194304]]]], [[5, 7,
6, 4, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
0, 0], [-3/4, -3/4], [0, 0], [-1/8388608, -1/8388608]]]], [[5, 7, 6, 4, 4], [
And(-1 < v,v < 0), And(v < u,u < -v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3/4, -3/4], [0, 0], [908093/
1048576, 454047/524288]]]], [[5, 7, 6, 4, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [0, 0], [-3/4, -3/4], [0, 0], [2, 2]]]], [[5, 8, 4, 4, 1], [And(-1 < v,
v < 0), u = -v, x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2
], [0, 0], [0, 0], [-1, -1]]]], [[5, 8, 4, 4, 2], [And(-1 < v,v < 0), u = -v,
x = 0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0
], [0, 0]]]], [[5, 8, 4, 4, 3], [And(-1 < v,v < 0), u = -v, x = 0, y = 0, 0 <
z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0], [1, 1]]]], [[5,
10, 5, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x
-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[5, 10, 5, 1, 2], [And(-\
1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1
/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[5, 10, 5, 1, 3], [And(
-1 < v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[5, 10, 5, 1, 4], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[-3, -3], [980853/524288, 1961707/1048576]]]], [[5, 10, 5, 1, 5], [And(-1 < v,
v < 0), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1/2, -1/2],
[-3, -3], [3, 3]]]], [[6, 2, 7, 7, 1], [v = 0, u = -2^(1/2), And(0 < x,x < 1),
And(0 < y,y < 1-x), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[6, 4, 5, 5, 1], [v = 0, u
= -1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[0, 0], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[6, 4, 5, 5, 2],
[v = 0, u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [
[6, 4, 5, 5, 3], [v = 0, u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-1/2, -\
1/2], [1/4, 1/4], [0, 0]]]], [[6, 4, 5, 5, 4], [v = 0, u = -1, And(-1 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [
-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 4, 5, 5, 5], [v = 0, u = -1, And(
-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0],
[-1, -1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[6, 8, 6, 5, 1], [v = 0, u = 1
, x = 0, 0 < y, z = z], [regular_chain, [[0, 0], [1, 1], [0, 0], [1, 1], [0, 0
]]]], [[6, 10, 4, 3, 1], [v = 0, u = 2^(1/2), x = -1, And(-2 < y,y < 0), z < -
(1-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1,
-1], [-1, -1], [-3, -3]]]], [[6, 10, 4, 3, 2], [v = 0, u = 2^(1/2), x = -1, 
And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [
[6, 10, 4, 3, 3], [v = 0, u = 2^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(
1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1, -1], [-1, -1], [0, 0]]]], [[6, 10, 4, 3, 4], [v = 0, u = 2^(1/2
), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[6, 10, 4, 3, 5], [v = 0, u = 2^(1/2), x = -1, And(-2 < y,y < 0)
, (1-y)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[-1, -1], [-1, -1], [3, 3]]]], [[7, 4, 7, 4, 1], [And(0 < v,v < 1), u = -(v^2+
1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[7,
4, 7, 4, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x,
z = 0], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1/2,
1/2], [-1/2, -1/2], [0, 0]]]], [[7, 4, 7, 4, 3], [And(0 < v,v < 1), u = -(v^2+
1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[7, 6,
6, 1, 1], [And(0 < v,v < 1), u = -v, x = 1, y < -2, z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-3, -3], [-3, -3]]]], [[7,
6, 6, 1, 2], [And(0 < v,v < 1), u = -v, x = 1, y < -2, z = -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1, 1], [-3, -3], [-1482911/1048576,
-741455/524288]]]], [[7, 6, 6, 1, 3], [And(0 < v,v < 1), u = -v, x = 1, y < -2
, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2
, -1/2], [1, 1], [-3, -3], [0, 0]]]], [[7, 6, 6, 1, 4], [And(0 < v,v < 1), u =
-v, x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2
], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[7, 6, 6, 1, 5], [
And(0 < v,v < 1), u = -v, x = 1, y < -2, (-y-1)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [1, 1], [-3, -3], [3, 3]]]], [[7, 13, 7, 3, 1], [And(
0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-43/8
, -43/8], [-4, -4]]]], [[7, 13, 7, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u
, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-43/8, -43/8], [-1157597/
524288, -2315193/1048576]]]], [[7, 13, 7, 3, 3], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-43/8,
-43/8], [0, 0]]]], [[7, 13, 7, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, 
And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-43/8, -43/8], [2315193/
1048576, 1157597/524288]]]], [[7, 13, 7, 3, 5], [And(0 < v,v < 1), (v^2+2)^(1/
2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [-43/8, -43/8], [4, 4]]]], [[8
, 2, 2, 4, 1], [v = 1, u = -3^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[
1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3, 3], [-1, -1]]]], [[
8, 2, 2, 4, 2], [v = 1, u = -3^(1/2), x = -3, y = 3, z = 0], [regular_chain, [
[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3, 3], [0, 0]]]], [[8
, 2, 2, 4, 3], [v = 1, u = -3^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[
1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3, 3], [1, 1]]]], [[8,
7, 11, 1, 1], [v = 1, And(-1 < u,u < 0), 1 < x, y < u^2-x-2, z < -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-5, -5], [-3, -3]]]], [[8,
7, 11, 1, 2], [v = 1, And(-1 < u,u < 0), 1 < x, y < u^2-x-2, z = -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-5, -5], [-1816187/1048576,
-3632373/2097152]]]], [[8, 7, 11, 1, 3], [v = 1, And(-1 < u,u < 0), 1 < x, y <
u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1/2, -1/2], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[8, 7, 11, 1, 4],
[v = 1, And(-1 < u,u < 0), 1 < x, y < u^2-x-2, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[8, 7, 11, 1, 5], [v = 1, And(-1 < u,u < 0), 1 < x, y <
u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-5
, -5], [3, 3]]]], [[8, 9, 10, 4, 1], [v = 1, And(0 < u,u < 1), x = 1, y = -u^2
-1, z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-5/4, -5/4], [-2, -\
2]]]], [[8, 9, 10, 4, 2], [v = 1, And(0 < u,u < 1), x = 1, y = -u^2-1, z = -u]
, [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-5/4, -5/4], [-1/2, -1/2]]]],
[[8, 9, 10, 4, 3], [v = 1, And(0 < u,u < 1), x = 1, y = -u^2-1, And(-u < z,z <
u)], [regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-5/4, -5/4], [0, 0]]]], [[8
, 9, 10, 4, 4], [v = 1, And(0 < u,u < 1), x = 1, y = -u^2-1, z = u], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-5/4, -5/4], [1/2, 1/2]]]], [[8,
9, 10, 4, 5], [v = 1, And(0 < u,u < 1), x = 1, y = -u^2-1, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [1, 1], [-5/4, -5/4], [2, 2]]]], [[8, 13,
10, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [1, 1], [0
, 0]]]], [[8, 15, 8, 3, 1], [v = 1, 3^(1/2) < u, x = 1, And(-u^2-1 < y,y < -1)
, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1, 1], [-11/2, -11/2],
[-4, -4]]]], [[8, 15, 8, 3, 2], [v = 1, 3^(1/2) < u, x = 1, And(-u^2-1 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1, 1], [-11/2, -11/
2], [-1112183/524288, -2224365/1048576]]]], [[8, 15, 8, 3, 3], [v = 1, 3^(1/2)
< u, x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[1, 1], [3, 3], [1, 1], [-11/2, -11/2], [0, 0]]]], [[8, 15, 8
, 3, 4], [v = 1, 3^(1/2) < u, x = 1, And(-u^2-1 < y,y < -1), z = (-y-1)^(1/2)]
, [regular_chain, [[1, 1], [3, 3], [1, 1], [-11/2, -11/2], [2224365/1048576, 
1112183/524288]]]], [[8, 15, 8, 3, 5], [v = 1, 3^(1/2) < u, x = 1, And(-u^2-1
< y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [1, 1], [-11/
2, -11/2], [4, 4]]]], [[9, 5, 11, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)
^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-3635965/1048576, -908991/262144], [-3, -3]]]], [[9
, 5, 11, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x
, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-3635965/
1048576, -908991/262144], [-1270261/1048576, -317565/262144]]]], [[9, 5, 11, 2
, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2
+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [2,
2], [-3635965/1048576, -908991/262144], [0, 0]]]], [[9, 5, 11, 2, 4], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [2, 2], [-3635965/1048576, -908991/262144]
, [317565/262144, 1270261/1048576]]]], [[9, 5, 11, 2, 5], [And(1 < v,v < 2^(1/
2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [2, 2], [-3635965/1048576, -908991/262144], [3, 3]]]], [[
9, 8, 1, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y < 0, z
< -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3, -3], [-1, -1], [-3, -3]]]], [[9, 8, 1,
1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y < 0, z = -(-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [-1, -1], [-2, -2]]]], [[9, 8, 1, 1, 3], [
And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3, -3], [-1, -1], [0, 0]]]], [[9, 8, 1, 1,
4], [And(1 < v,v < 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [-1, -1], [2, 2]]]], [[9, 8, 1, 1, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2-1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1417877/2097152, -354469
/524288], [-3, -3], [-1, -1], [3, 3]]]], [[9, 9, 1, 9, 1], [And(1 < v,v < 2^(1
/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, -u^2+v^2-x-1 <
y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-4, -\
4], [6, 6], [0, 0]]]], [[9, 11, 1, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)
^(1/2) < u,u < v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [1498947/2097152, 1498947/2097152], [-3, -3]]]], [[
9, 11, 1, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^
2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[1498947/2097152, 1498947/2097152], [-99071/65536, -3170271/2097152]]]], [[9,
11, 1, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v
^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [1498947/2097152, 1498947/2097152], [-1/4194304, -1/
4194304]]]], [[9, 11, 1, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [1498947/2097152, 1498947/2097152], [1585135/1048576, 
99071/65536]]]], [[9, 11, 1, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2)
< u,u < v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [1498947/2097152, 1498947/2097152], [3, 3]]]], [[9, 16, 7,
7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y
,y < 1-x), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[10, 1, 5,
1, 1], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2],
[-9, -9], [-5, -5]]]], [[10, 1, 5, 1, 2], [v = 2^(1/2), u < -2, And(-1 < x,x <
0), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [-1/2, -1/2], [-9, -9], [-3231929/1048576, -403991/131072
]]]], [[10, 1, 5, 1, 3], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), y < -u^2-x+1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-1/2, -1/2], [-9, -9], [0, 0]]]], [[10, 1, 5, 1,
4], [v = 2^(1/2), u < -2, And(-1 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-9
, -9], [403991/131072, 3231929/1048576]]]], [[10, 1, 5, 1, 5], [v = 2^(1/2), u
< -2, And(-1 < x,x < 0), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [-9, -9], [5, 5]]]],
[[10, 5, 2, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, y < 0,
z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [-1, -\
1], [-3, -3]]]], [[10, 5, 2, 1, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x
= -u^2+1, y < 0, z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1546383/1048576, -\
773191/524288], [-1, -1], [-1649549/1048576, -3299097/2097152]]]], [[10, 5, 2,
1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -u^2+1, y < 0, And(-(u^2-y-\
1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1546383/1048576, -773191/
524288], [-1, -1], [-1/4194304, -1/4194304]]]], [[10, 5, 2, 1, 4], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1546383/1048576, -773191/524288], [-1, -1], [412387/262144, 
1649549/1048576]]]], [[10, 5, 2, 1, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -u^2+1, y < 0, (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1546383/1048576, -\
773191/524288], [-1, -1], [3, 3]]]], [[10, 7, 3, 2, 1], [v = 2^(1/2), And(-v <
u,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/
131072], [-3, -3]]]], [[10, 7, 3, 2, 2], [v = 2^(1/2), And(-v < u,u < -1), And
(u^2-3 < x,x < -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/131072], [-\
1302471/1048576, -651235/524288]]]], [[10, 7, 3, 2, 3], [v = 2^(1/2), And(-v <
u,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u
^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-284633/
1048576, -35579/131072], [0, 0]]]], [[10, 7, 3, 2, 4], [v = 2^(1/2), And(-v <
u,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/
131072], [651235/524288, 1302471/1048576]]]], [[10, 7, 3, 2, 5], [v = 2^(1/2),
And(-v < u,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/
131072], [3, 3]]]], [[10, 12, 7, 4, 1], [v = 2^(1/2), u = 1, And(0 < x,x < 1),
y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/
2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 12, 7, 4, 2], [v = 2^(1/2), u = 1, 
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[10, 12, 7, 4, 3], [v
= 2^(1/2), u = 1, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 
14, 6, 5, 1], [v = 2^(1/2), u = v, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 2, 1, 7, 1], [2^(1/2) < v, u
= -(v^2+2)^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[3, 3]
, [-1738867/524288, -3477733/1048576], [-4, -4], [9/2, 9/2], [0, 0]]]], [[11,
3, 10, 3, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1,
And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [-1178087/524288, -1178087/524288]
, [-3, -3]]]], [[11, 3, 10, 3, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
1178087/524288, -1178087/524288], [-1170947/1048576, -585473/524288]]]], [[11,
3, 10, 3, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1,
And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
1178087/524288, -1178087/524288], [0, 0]]]], [[11, 3, 10, 3, 4], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [1, 1], [-1178087/524288, -1178087/524288], [585473/524288, 1170947/
1048576]]]], [[11, 3, 10, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
1178087/524288, -1178087/524288], [3, 3]]]], [[11, 9, 9, 9, 1], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), 0 < y,
z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
395403/524288, 395403/524288], [1, 1], [0, 0]]]], [[11, 11, 7, 3, 1], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-
x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/
2], [-11/2, -11/2], [-4, -4]]]], [[11, 11, 7, 3, 2], [2^(1/2) < v, And(-(v^2-2
)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-11/2, -11/2
], [-146543/65536, -2344687/1048576]]]], [[11, 11, 7, 3, 3], [2^(1/2) < v, And
(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [0
, 0], [1/2, 1/2], [-11/2, -11/2], [0, 0]]]], [[11, 11, 7, 3, 4], [2^(1/2) < v,
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2], [-\
11/2, -11/2], [2344687/1048576, 146543/65536]]]], [[11, 11, 7, 3, 5], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-
x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [1/2, 1/2
], [-11/2, -11/2], [4, 4]]]], [[11, 15, 4, 1, 1], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[11,
15, 4, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y < u^2-v^2,
z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[11, 15, 4, 1,
3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y < u^2-v^2, And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[11, 15, 4
, 1, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y < u^2-v^2, z =
(1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1
, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[11, 15, 4, 1, 5], [2^(
1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y < u^2-v^2, (1-y)^(1/2) < z],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [-2, -2
], [3, 3]]]], [[11, 17, 4, 9, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
x = -1, 1 < y, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-1, -1], [2, 2], [0, 0]]]], [[1, 1, 5, 1, 1], [v < -2^(1/2), u < -(v^2+2)^(
1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-5, -5], [-1/2, -1/2], [-18, -18], [-6, -6]]]], [[1, 1, 5, 1, 2],
[v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-18, -18], [
-281881/65536, -4510095/1048576]]]], [[1, 1, 5, 1, 3], [v < -2^(1/2), u < -(v^
2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-18, -18], [0
, 0]]]], [[1, 1, 5, 1, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0
), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [
-1/2, -1/2], [-18, -18], [4510095/1048576, 281881/65536]]]], [[1, 1, 5, 1, 5],
[v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)
^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [-18, -18], [6
, 6]]]], [[1, 3, 1, 9, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-4, -4], [6, 6], [0, 0]]]], [[1, 9, 1, 8,
1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1,
y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-4, -4], [4727339/1048576, 1181835/262144], [0, 0]]]], [[1
, 10, 7, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(0 < y
,y < 1-x), z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[1, 14, 4, 1, 1], [v < -2^(1/2),
u = (v^2-1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3
], [741455/262144, 2965821/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[1, 14,
4, 1, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [-2, -2
], [-1816187/1048576, -3632373/2097152]]]], [[1, 14, 4, 1, 3], [v < -2^(1/2),
u = (v^2-1)^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[1, 14, 4, 1, 4], [v < -2^(1/2), u = (v^2-1)^(
1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]
]]], [[1, 14, 4, 1, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y < -1, (1-y
)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1
, -1], [-2, -2], [3, 3]]]], [[1, 16, 2, 3, 1], [v < -2^(1/2), u = -v, x = -1,
And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1, -\
1], [1/2, 1/2], [-2, -2]]]], [[1, 16, 2, 3, 2], [v < -2^(1/2), u = -v, x = -1,
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1, -\
1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 16, 2, 3, 3], [v
< -2^(1/2), u = -v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[
1, 16, 2, 3, 4], [v < -2^(1/2), u = -v, x = -1, And(0 < y,y < 1), z = (1-y)^(1
/2)], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1/2, 1/2], [741455/1048576
, 46341/65536]]]], [[1, 16, 2, 3, 5], [v < -2^(1/2), u = -v, x = -1, And(0 < y
,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [1/2,
1/2], [2, 2]]]], [[1, 21, 11, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2
-1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[5, 5], [16, 16], [-33, -33], [-6, -6]]]], [[1, 21, 11, 2, 2], [v < -2^(1/2),
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [-33, -33], [-2161695/524288, -\
4323389/1048576]]]], [[1, 21, 11, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [-33, -33], [0, 0]]]], [[1, 
21, 11, 2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x
-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [16, 16], [-33,
-33], [4323389/1048576, 2161695/524288]]]], [[1, 21, 11, 2, 5], [v < -2^(1/2),
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [16, 16], [-33, -33], [6, 6]]]], [[2, 2, 5,
8, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y = 1-x, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [3
/2, 3/2], [0, 0]]]], [[2, 9, 7, 2, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(0
< x,x < -u^2+1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [-25/8, -25/8], [-3, -3]]
]], [[2, 9, 7, 2, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1),
y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [3/8, 3/8], [-25/8, -25/8], [-1738867/1048576, -\
3477733/2097152]]]], [[2, 9, 7, 2, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(0
< x,x < -u^2+1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8],
[-25/8, -25/8], [-1/4194304, -1/4194304]]]], [[2, 9, 7, 2, 4], [v = -2^(1/2),
And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8],
[-25/8, -25/8], [869433/524288, 1738867/1048576]]]], [[2, 9, 7, 2, 5], [v = -2
^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = u^2-x-3, (-u^2+3)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8,
3/8], [-25/8, -25/8], [3, 3]]]], [[2, 11, 4, 1, 1], [v = -2^(1/2), And(0 < u,u
< 1), x = -1, y < u^2-2, z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [1/2, 1/2], [-1, -1], [-3, -3], [-3, -3]]]], [[2, 11, 4, 1,
2], [v = -2^(1/2), And(0 < u,u < 1), x = -1, y < u^2-2, z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-3,
-3], [-2, -2]]]], [[2, 11, 4, 1, 3], [v = -2^(1/2), And(0 < u,u < 1), x = -1,
y < u^2-2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1, -1], [-3, -3], [0, 0]]]], [[2, 11,
4, 1, 4], [v = -2^(1/2), And(0 < u,u < 1), x = -1, y < u^2-2, z = (1-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [
-3, -3], [2, 2]]]], [[2, 11, 4, 1, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -1
, y < u^2-2, (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-1, -1], [-3, -3], [3, 3]]]], [[2, 17, 3, 9, 1], [v = -2
^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), u^2-x-3 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [4, 4], [0, 0]]]], [[2, 18, 9,
8, 1], [v = -2^(1/2), u = 2, 1 < x, y = 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [2, 2], [0, 0], [0, 0]]]], [[3, 3, 5, 3, 1],
[And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-1/2, -1/2], [-66394547/67108864, -66394547/67108864], [-3, -3]]]], [[3, 3, 5
, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-66394547/67108864, -66394547/67108864], [-\
639837/524288, -1279673/1048576]]]], [[3, 3, 5, 3, 3], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^
2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
-1/2, -1/2], [-66394547/67108864, -66394547/67108864], [0, 0]]]], [[3, 3, 5, 3
, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-66394547/67108864, -66394547/67108864], [
1279673/1048576, 639837/524288]]]], [[3, 3, 5, 3, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2
-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-\
66394547/67108864, -66394547/67108864], [3, 3]]]], [[3, 5, 4, 2, 1], [And(-2^(
1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = -u^2+v^2, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [-490237/1048576, -122559/262144
], [-3, -3]]]], [[3, 5, 4, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2
) < u,u < v), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1, -1], [-490237/1048576, -122559/262144], [-1270261/1048576, -317565/262144]]
]], [[3, 5, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v)
, x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-490237/1048576, -122559/262144], [0, 0]]]], [[3,
5, 4, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1,
y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-490237/
1048576, -122559/262144], [317565/262144, 1270261/1048576]]]], [[3, 5, 4, 2, 5
], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = -u^2+
v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-490237/1048576, -\
122559/262144], [3, 3]]]], [[3, 11, 4, 1, 1], [And(-2^(1/2) < v,v < -1), And((
v^2-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[3, 11, 4, 1, 2], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2, z = -(1-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]],
[[3, 11, 4, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x
= -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [-2, -2], [-1/4194304, -1/4194304]]]], [[3, 11, 4, 1, 4], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2, z = (1-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[3, 11, 4
, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y <
u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[3
, 13, 4, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, And(0 < y,y < u^2-v^2), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [
490235/2097152, 490235/2097152], [-2, -2]]]], [[3, 13, 4, 5, 2], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z
= -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1, -1], [490235/2097152, 490235/2097152],
[-7342969/8388608, -917871/1048576]]]], [[3, 13, 4, 5, 3], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), And(-(1-
y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [490235/2097152, 
490235/2097152], [0, 0]]]], [[3, 13, 4, 5, 4], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [490235/2097152, 490235/2097152], [917871/1048576,
57367/65536]]]], [[3, 13, 4, 5, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [490235/2097152, 490235/2097152], [2, 2]]]], [[3,
14, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x < -2, -x < y, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-3, -3], [4, 4], [0, 0]]]], [[3, 15, 11, 6, 1], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = u^2-v^2-x-1,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [2, 2], [-1595187/1048576, -3190373/2097152], [0, 0]]]], [[4,
4, 2, 4, 1], [v = -1, u = -2^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-1, -1]]]], [[4
, 4, 2, 4, 2], [v = -1, u = -2^(1/2), x = -2, y = 2, z = 0], [regular_chain, [
[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [0, 0]]]], [[4
, 4, 2, 4, 3], [v = -1, u = -2^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [
[-1, -1], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [1, 1]]]], [[4
, 6, 1, 1, 1], [v = -1, u = -1, x < -1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1, -1], [-3, -3]]]], [[4, 6, 1
, 1, 2], [v = -1, u = -1, x < -1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [-1, -1], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]
], [[4, 6, 1, 1, 3], [v = -1, u = -1, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1, -1], [-1/
4194304, -1/4194304]]]], [[4, 6, 1, 1, 4], [v = -1, u = -1, x < -1, y < 0, z =
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1, -1], [
908093/524288, 1816187/1048576]]]], [[4, 6, 1, 1, 5], [v = -1, u = -1, x < -1,
y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-2, -2], [-1,
-1], [3, 3]]]], [[4, 10, 2, 1, 1], [v = -1, u = 1, x = -1, y < 0, z < -(1-y)^(
1/2)], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [-1, -1], [-3, -3]]]], [[4
, 10, 2, 1, 2], [v = -1, u = 1, x = -1, y < 0, z = -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[4, 10, 2, 1, 3], [v = -1, u = 1, x = -1, y < 0, And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [-\
1, -1], [0, 0]]]], [[4, 10, 2, 1, 4], [v = -1, u = 1, x = -1, y < 0, z = (1-y)
^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [-1, -1], [741455/524288
, 1482911/1048576]]]], [[4, 10, 2, 1, 5], [v = -1, u = 1, x = -1, y < 0, (1-y)
^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [-1, -1], [-1, -1], [3, 3]]]],
[[4, 12, 2, 5, 1], [v = -1, u = 2^(1/2), x = -2, 2 < y, z = z], [regular_chain
, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [3, 3], [0, 0]]]], [[
5, 2, 5, 8, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y =
1-x, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [3/2,
3/2], [0, 0]]]], [[5, 4, 3, 4, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And
(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[5, 4, 3
, 4, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[5, 4,
3, 4, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[5, 4, 3, 4, 4],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2
, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[5, 4, 3, 4, 5], [And(-\
1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2
], [0, 0], [3, 3]]]], [[5, 11, 7, 4, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [-243021/1048576, -243021/1048576], [-1, -1]]]], [[5, 11, 7,
4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x
,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [343151/262144
, 343151/262144], [243021/1048576, 243021/1048576], [-243021/1048576, -243021/
1048576], [0, 0]]]], [[5, 11, 7, 4, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [-243021/1048576, -243021/1048576], [1, 1]]]], [[5, 13, 4, 3,
1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z
< -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-35/8, -35/
8], [-4, -4]]]], [[5, 13, 4, 3, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x =
-1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[3, 3], [-1, -1], [-35/8, -35/8], [-151939/65536, -2431023/1048576]]]], [[5, 
13, 4, 3, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,
y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2],
[3, 3], [-1, -1], [-35/8, -35/8], [0, 0]]]], [[5, 13, 4, 3, 4], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [-35/8, -35/8], [2431023/
1048576, 151939/65536]]]], [[5, 13, 4, 3, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2
) < u, x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [3, 3], [-1, -1], [-35/8, -35/8], [4, 4]]]], [[6, 5, 7, 8, 1], [v =
0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
0, 0], [-1/2, -1/2], [-3/8, -3/8], [3/8, 3/8], [-1, -1]]]], [[6, 5, 7, 8, 2],
[v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [3/8, 3/8], [0, 0]]]], [[6
, 5, 7, 8, 3], [v = 0, And(-1 < u,u < 0), And(u^2-1 < x,x < 0), y = -x, 0 < z]
, [regular_chain, [[0, 0], [-1/2, -1/2], [-3/8, -3/8], [3/8, 3/8], [1, 1]]]],
[[6, 7, 8, 3, 1], [v = 0, And(0 < u,u < 1), x = 0, And(-u^2-1 < y,y < u^2-1),
z < -(-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-1, -1], [-2,
-2]]]], [[6, 7, 8, 3, 2], [v = 0, And(0 < u,u < 1), x = 0, And(-u^2-1 < y,y <
u^2-1), z = -(-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [0, 0], [-1, -1
], [-1, -1]]]], [[6, 7, 8, 3, 3], [v = 0, And(0 < u,u < 1), x = 0, And(-u^2-1
< y,y < u^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0],
[1/2, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[6, 7, 8, 3, 4], [v = 0, And(0 < u,u
< 1), x = 0, And(-u^2-1 < y,y < u^2-1), z = (-y)^(1/2)], [regular_chain, [[0,
0], [1/2, 1/2], [0, 0], [-1, -1], [1, 1]]]], [[6, 7, 8, 3, 5], [v = 0, And(0 <
u,u < 1), x = 0, And(-u^2-1 < y,y < u^2-1), (-y)^(1/2) < z], [regular_chain, [
[0, 0], [1/2, 1/2], [0, 0], [-1, -1], [2, 2]]]], [[6, 11, 5, 5, 1], [v = 0, 2^
(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[6, 11
, 5, 5, 2], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[6, 11, 5, 5, 3], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(0 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [
3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[6, 11, 5, 5, 4], [v = 0, 2^(1/2)
< u, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[0, 0], [3, 3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 11, 5, 5, 5], [
v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 1, 
11, 4, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, z < 0
], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-9, -9], [-1, -1]]]], [[7,
1, 11, 4, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, z
= 0], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-9, -9], [0, 0]]]], [[7,
1, 11, 4, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, 0
< z], [regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [-9, -9], [1, 1]]]], [[7,
7, 9, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), And(-x <
y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [-1/4, -1/4
], [0, 0]]]], [[7, 9, 10, 2, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2
)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2
], [1696631/2097152, 1696631/2097152], [1, 1], [-1260655/524288, -2521309/
1048576], [-3, -3]]]], [[7, 9, 10, 2, 2], [And(0 < v,v < 1), And(v < u,u < (v^
2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-1260655/524288, -\
2521309/1048576], [-19417/16384, -1242687/1048576]]]], [[7, 9, 10, 2, 3], [And
(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576]
, [0, 0]]]], [[7, 9, 10, 2, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)
), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [1, 1], [-1260655/524288, -2521309/1048576
], [1242687/1048576, 19417/16384]]]], [[7, 9, 10, 2, 5], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1, 1], [-\
1260655/524288, -2521309/1048576], [3, 3]]]], [[7, 10, 8, 7, 1], [And(0 < v,v
< 1), u = (v^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [
1172343/1048576, 146543/131072], [1, 1], [1, 1], [0, 0]]]], [[7, 12, 6, 3, 1],
[And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2
)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3/2, -3/2], [-3, -3]]]]
, [[7, 12, 6, 3, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y
< 0), z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3/2
, -3/2], [-1284239/1048576, -642119/524288]]]], [[7, 12, 6, 3, 3], [And(0 < v,
v < 1), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (
-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3/2, -3/2], [0
, 0]]]], [[7, 12, 6, 3, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 0, And(-\
3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0]
, [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[7, 12, 6, 3, 5], [And(0
< v,v < 1), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [0, 0], [-3/2, -3/2], [3, 3]]]], [[8,
4, 9, 2, 1], [v = 1, u = -2^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4],
[-3, -3]]]], [[8, 4, 9, 2, 2], [v = 1, u = -2^(1/2), 1 < x, y = -x-2, z = -2^(
1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [-\
4, -4], [-1482911/1048576, -741455/524288]]]], [[8, 4, 9, 2, 3], [v = 1, u = -
2^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [0, 0]]]], [[8, 4, 9
, 2, 4], [v = 1, u = -2^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [741455/524288,
1482911/1048576]]]], [[8, 4, 9, 2, 5], [v = 1, u = -2^(1/2), 1 < x, y = -x-2,
2^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2,
2], [-4, -4], [3, 3]]]], [[8, 7, 1, 3, 1], [v = 1, And(-1 < u,u < 0), x < u^2-\
2, And(0 < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2,
-1/2], [-3, -3], [5/8, 5/8], [-3, -3]]]], [[8, 7, 1, 3, 2], [v = 1, And(-1 < u
,u < 0), x < u^2-2, And(0 < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [-1/2, -1/2], [-3, -3], [5/8, 5/8], [-3231929/2097152, -403991/
262144]]]], [[8, 7, 1, 3, 3], [v = 1, And(-1 < u,u < 0), x < u^2-2, And(0 < y,
y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1
], [-1/2, -1/2], [-3, -3], [5/8, 5/8], [0, 0]]]], [[8, 7, 1, 3, 4], [v = 1, 
And(-1 < u,u < 0), x < u^2-2, And(0 < y,y < u^2-x-2), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [5/8, 5/8], [403991/262144, 
1615965/1048576]]]], [[8, 7, 1, 3, 5], [v = 1, And(-1 < u,u < 0), x < u^2-2, 
And(0 < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/
2], [-3, -3], [5/8, 5/8], [3, 3]]]], [[8, 11, 1, 8, 1], [v = 1, And(1 < u,u <
2^(1/2)), x < -u^2, y = -x, z < 0], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[8, 11, 1, 8, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x < -u^2, y = -x, z = 0], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3, -3], [3, 3], [0, 0]]]], [[8, 11, 1, 8,
3], [v = 1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -x, 0 < z], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [-3, -3], [3, 3], [1, 1]]]], [[8,
13, 1, 2, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = 0, z < -(-x)
^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4]
, [0, 0], [-3, -3]]]], [[8, 13, 1, 2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2))
, x < -u^2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152
, 3299097/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[8, 13, 1, 2, 3], [v = 1,
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4],
[0, 0], [0, 0]]]], [[8, 13, 1, 2, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x
< -u^2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-4, -4], [0, 0], [2, 2]]]], [[8, 13, 1, 2, 5], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = 0, (-x)^(1/2) < z], [regular_chain, [[
1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [0, 0], [3, 3]]]], [[9, 3
, 2, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/
524288, -2599117/1048576], [-1, -1], [-3, -3]]]], [[9, 3, 2, 1, 2], [And(1 < v
,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y <
0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/
1048576], [-1, -1], [-7822925/4194304, -1955731/1048576]]]], [[9, 3, 2, 1, 3],
[And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+
v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [-1, -1], [0, 0]]]], [
[9, 3, 2, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1299559/524288, -2599117/1048576], [-1, -1], [1955731/1048576, 488933/262144]]
]], [[9, 3, 2, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
-1299559/524288, -2599117/1048576], [-1, -1], [3, 3]]]], [[9, 5, 1, 4, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u
^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [1606915/
1048576, 401729/262144], [-3, -3]]]], [[9, 5, 1, 4, 2], [And(1 < v,v < 2^(1/2)
), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-3, -3], [1606915/1048576, 401729/262144], [-\
1270261/1048576, -317565/262144]]]], [[9, 5, 1, 4, 3], [And(1 < v,v < 2^(1/2))
, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [1606915/
1048576, 401729/262144], [0, 0]]]], [[9, 5, 1, 4, 4], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [1606915/1048576, 401729/262144], [
317565/262144, 1270261/1048576]]]], [[9, 5, 1, 4, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [1606915/1048576, 401729/262144], [3, 3]
]]], [[9, 11, 11, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v)
, 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-5, -5],
[-3, -3]]]], [[9, 11, 11, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [
-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[9, 11, 11, 1, 3], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y < u^2-v^2-x-1, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[9, 11, 11, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-5, -5]
, [908093/524288, 1816187/1048576]]]], [[9, 11, 11, 1, 5], [And(1 < v,v < 2^(1
/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-5, -5], [3, 3]]]], [[9, 13, 11, 9, 1], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2],
[1, 1], [0, 0]]]], [[10, 2, 3, 8, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -1)
, y = 1-x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2]
, [-2, -2], [3, 3], [0, 0]]]], [[10, 4, 1, 2, 1], [v = 2^(1/2), u = -3^(1/2),
x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1816187/1048576, -3632373/2097152], [-3, -3], [0, 0], [-3, -3]]]],
[[10, 4, 1, 2, 2], [v = 2^(1/2), u = -3^(1/2), x < -2, y = 0, z = -(-x)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[10, 4, 1, 2, 3], [v = 2^(1/2), u = -3^(1/2), x < -2, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1816187/1048576, -3632373/2097152], [-3, -3], [0, 0], [-1/4194304, -1/4194304]
]]], [[10, 4, 1, 2, 4], [v = 2^(1/2), u = -3^(1/2), x < -2, y = 0, z = (-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[10,
4, 1, 2, 5], [v = 2^(1/2), u = -3^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1816187/1048576, -3632373/
2097152], [-3, -3], [0, 0], [3, 3]]]], [[10, 8, 1, 7, 1], [v = 2^(1/2), u = -1
, x < -2, -x < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1, -1], [-3, -3], [4, 4], [0, 0]]]], [[10, 10, 1, 1, 1], [v = 2^(1/2), u = 0,
x < -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-4, -4], [-1, -1], [-4, -4]]]], [[10, 10, 1, 1, 2], [v = 2^
(1/2), u = 0, x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [-1, -1], [-146543/65536, -2344687
/1048576]]]], [[10, 10, 1, 1, 3], [v = 2^(1/2), u = 0, x < -3, y < 0, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-4, -4], [-1, -1], [0, 0]]]], [[10, 10, 1, 1, 4], [v = 2^(1
/2), u = 0, x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [0, 0], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]
]], [[10, 10, 1, 1, 5], [v = 2^(1/2), u = 0, x < -3, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [-1, -1],
[4, 4]]]], [[10, 15, 9, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x
,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]
]]], [[10, 17, 9, 1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x
< 1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [388511/524288, 388511/
524288], [-5, -5], [-4, -4]]]], [[10, 17, 9, 1, 2], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), And(u^2-3 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-5, -5], [-270497/131072, -2163975/
1048576]]]], [[10, 17, 9, 1, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2
-3 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [-5, -5], [0, 0]]]], [[10, 17, 9, 1,
4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), y < -u^2-x+1,
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [388511/524288, 388511/524288], [-5, -5], [2163975
/1048576, 270497/131072]]]], [[10, 17, 9, 1, 5], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), And(u^2-3 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [
388511/524288, 388511/524288], [-5, -5], [4, 4]]]], [[10, 18, 5, 6, 1], [v = 2
^(1/2), u = 2, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10,
18, 5, 6, 2], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2], [1/2,
1/2], [0, 0]]]], [[10, 18, 5, 6, 3], [v = 2^(1/2), u = 2, And(-1 < x,x < 0), y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [-1/2
, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 1, 3, 2, 1], [2^(1/2) < v, u < -(v^2+2)^
(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-5, -5], [-9, -9], [-8, -8], [-6, -6]]]], [[11, 1, 3
, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-9, -9
], [-8, -8], [-2161695/524288, -4323389/1048576]]]], [[11, 1, 3, 2, 3], [2^(1/
2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-5,
-5], [-9, -9], [-8, -8], [0, 0]]]], [[11, 1, 3, 2, 4], [2^(1/2) < v, u < -(v^2
+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [-8, -8], [4323389/1048576, 
2161695/524288]]]], [[11, 1, 3, 2, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-
u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-9, -9], [-8, -8], [6, 6]]]], [[11, 6, 7, 6
, 1], [2^(1/2) < v, u = -v, 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [-3
, -3], [2, 2], [0, 0], [0, 0]]]], [[11, 8, 8, 7, 1], [2^(1/2) < v, u = -(v^2-1
)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [1, 1], [1, 1], [0, 0]]]], [[11, 12, 3, 9, 1], [2^(1/2) < v
, u = (v^2-2)^(1/2), And(-3 < x,x < -1), 1-x < y, z = z], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [-2, -2], [4, 4], [0, 0]]]], [[11, 14, 1, 3
, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3],
[1/2, 1/2], [-3, -3]]]], [[11, 14, 1, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2),
x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3, -3], [1/2, 1/2], [-3315889/2097152, -\
207243/131072]]]], [[11, 14, 1, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2
, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3, -3], [1/2, 1/2]
, [0, 0]]]], [[11, 14, 1, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(
0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [
[11, 14, 1, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2
), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576
], [-3, -3], [1/2, 1/2], [3, 3]]]], [[11, 19, 11, 9, 1], [2^(1/2) < v, And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [2, 2], [1, 1], [0, 0]]]], [[11, 21, 9
, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v
^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [8, 8
], [-33/2, -33/2], [-4, -4]]]], [[11, 21, 9, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2
) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [5, 5], [8, 8], [-33/2, -33/2], [-24456785/
8388608, -1528549/524288]]]], [[11, 21, 9, 3, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [8, 8], [-33/2, -33/2
], [0, 0]]]], [[11, 21, 9, 3, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x
< u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[3, 3], [5, 5], [8, 8], [-33/2, -33/2], [1528549/524288, 3057099/1048576]]]],
[[11, 21, 9, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [5,
5], [8, 8], [-33/2, -33/2], [4, 4]]]], [[1, 1, 6, 2, 1], [v < -2^(1/2), u < -(
v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-5, -5], [0, 0], [-17, -17], [-6, -6]]]], [[1, 1, 6, 2, 2], [v < -
2^(1/2), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [0, 0], [-17, -17], [-2161695/524288, -\
4323389/1048576]]]], [[1, 1, 6, 2, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [0, 0], [-17, -17], [0, 0]]]], [[1, 1, 6,
2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [0, 0], [-17, -17], [4323389/
1048576, 2161695/524288]]]], [[1, 1, 6, 2, 5], [v < -2^(1/2), u < -(v^2+2)^(1/
2), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3],
[-5, -5], [0, 0], [-17, -17], [6, 6]]]], [[1, 3, 3, 7, 1], [v < -2^(1/2), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x < y
,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [522727/262144, 522727/
262144], [0, 0]]]], [[1, 9, 1, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [0, 0], [-3, -3]]]],
[[1, 9, 1, 2, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
< u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [0, 0], [-2, -2]]]], [[1, 9, 1, 2, 3],
[v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-22960369
/8388608, -22960369/8388608], [-4, -4], [0, 0], [0, 0]]]], [[1, 9, 1, 2, 4], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = 0
, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [0, 0], [2, 2]]]], [[1, 9, 1, 2, 5], [v < -2^(1/2), And(-(
v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [0
, 0], [3, 3]]]], [[1, 10, 7, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 <
x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[1, 14, 5, 4
, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1
/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2
], [0, 0], [-2, -2]]]], [[1, 14, 5, 4, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [741455
/262144, 2965821/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[1, 14, 5, 4, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x
< 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 14, 5,
4, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1
/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2
], [0, 0], [741455/1048576, 46341/65536]]]], [[1, 14, 5, 4, 5], [v < -2^(1/2),
u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]],
[[1, 16, 4, 5, 1], [v < -2^(1/2), u = -v, x = 0, 0 < y, z = z], [regular_chain
, [[-3, -3], [3, 3], [0, 0], [1, 1], [0, 0]]]], [[1, 21, 10, 3, 1], [v < -2^(1
/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z
< -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [15, 15], [-47/2,
-47/2], [-4, -4]]]], [[1, 21, 10, 3, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [15, 15], [-47/2, -47/2], [-24456785/8388608
, -1528549/524288]]]], [[1, 21, 10, 3, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) <
z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [15, 15], [-\
47/2, -47/2], [0, 0]]]], [[1, 21, 10, 3, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u,
x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[-3, -3], [5, 5], [15, 15], [-47/2, -47/2], [1528549/524288
, 3057099/1048576]]]], [[1, 21, 10, 3, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z],
[regular_chain, [[-3, -3], [5, 5], [15, 15], [-47/2, -47/2], [4, 4]]]], [[2, 2
, 5, 6, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [1
/2, 1/2], [-1, -1]]]], [[2, 2, 5, 6, 2], [v = -2^(1/2), u = -2, And(-1 < x,x <
0), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[2, 2, 5, 6, 3], [v = -2^(1/2), u =
-2, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 9, 7, 4, 1
], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8],
[-3/8, -3/8], [-1, -1]]]], [[2, 9, 7, 4, 2], [v = -2^(1/2), And(-1 < u,u < 0),
And(0 < x,x < -u^2+1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/8, 3/8], [-3/8, -3/8], [0, 0]]]], [[2, 9, 7,
4, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = -x, 0 < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8
], [-3/8, -3/8], [1, 1]]]], [[2, 11, 4, 7, 1], [v = -2^(1/2), And(0 < u,u < 1)
, x = -1, And(1 < y,y < -u^2+2), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1, -1], [11/8, 11/8], [0, 0]]]], [[2, 17, 2, 2,
1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = 0, z < -(u^2-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-650655/262144, -2602619/1048576], [0, 0], [-3, -3]]]], [[2
, 17, 2, 2, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = 0, z =
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339
/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [0, 0], [-\
825991/524288, -3303963/2097152]]]], [[2, 17, 2, 2, 3], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-650655/262144, -2602619/1048576], [0, 0], [-1/4194304, -1/
4194304]]]], [[2, 17, 2, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^
2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576
], [0, 0], [1651981/1048576, 825991/524288]]]], [[2, 17, 2, 2, 5], [v = -2^(1/
2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [0, 0], [3, 3]]]], [[2, 18, 8, 5
, 1], [v = -2^(1/2), u = 2, x = 1, And(-1 < y,y < 0), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [-1/2, -1/2], [0, 0]]]],
[[3, 3, 5, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3, 3, 5, 5, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [1/4, 1/4], [-1/2, -1/2]]]], [[3, 3, 5, 5, 3], [And(-2^(1/2) < v,v < -1),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [1/4, 1/4], [0, 0]]]], [[3, 3, 5, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]],
[[3, 3, 5, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3, 5, 4, 8, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [1, 1], [-1, -1]]]], [[3, 5, 4, 8, 2], [And(-2^(1/
2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [1, 1], [0, 0]]]], [[3, 5, 4, 8, 3], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [1, 1], [1, 1]]]], [[3, 11, 2, 3, 1], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -2*
u^2+2*v^2), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -\
3293561/2097152], [1196409/2097152, 1196409/2097152], [-3, -3]]]], [[3, 11, 2,
3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1
, And(0 < y,y < -2*u^2+2*v^2), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
1646781/1048576, -3293561/2097152], [1196409/2097152, 1196409/2097152], [-\
1048577/1048576, -1]]]], [[3, 11, 2, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^
2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), And(-(-u^2
+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/
1048576, -3293561/2097152], [1196409/2097152, 1196409/2097152], [0, 0]]]], [[3
, 11, 2, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x =
u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1196409/2097152, 1196409/
2097152], [1, 1048577/1048576]]]], [[3, 11, 2, 3, 5], [And(-2^(1/2) < v,v < -1
), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2),
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/
2097152], [1196409/2097152, 1196409/2097152], [3, 3]]]], [[3, 13, 3, 4, 1], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/
2097152], [0, 0], [-3, -3]]]], [[3, 13, 3, 4, 2], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-2587387/2097152, -2587387/2097152], [0, 0], [-1164705/
1048576, -36397/32768]]]], [[3, 13, 3, 4, 3], [And(-2^(1/2) < v,v < -1), And(-
v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [0, 0
], [0, 0]]]], [[3, 13, 3, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [0, 0], [36397/32768,
1164705/1048576]]]], [[3, 13, 3, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [0, 0], [3, 3]]]], [[3
, 14, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -\
1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [3/4, 3/4],
[-2, -2]]]], [[3, 14, 3, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -\
3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[3, 14, 3, 5, 3],
[And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [3
/4, 3/4], [-1/8388608, -1/8388608]]]], [[3, 14, 3, 5, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]],
[[3, 14, 3, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x
< -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [3
/4, 3/4], [2, 2]]]], [[3, 16, 2, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = -3, y = 0, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [0, 0], [-3, -3]]
]], [[3, 16, 2, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, y
= 0, z = -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[3, 16, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [0, 0],
[-1/4194304, -1/4194304]]]], [[3, 16, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[3, 16, 2, 2, 5], [And(-2^(1/2) < v,v < -\
1), u = (v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [0, 0]
, [3, 3]]]], [[4, 4, 1, 5, 1], [v = -1, u = -2^(1/2), x < -2, And(-x-2 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455
/524288], [-3, -3], [2, 2], [-2, -2]]]], [[4, 4, 1, 5, 2], [v = -1, u = -2^(1/
2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [-1, -1]]]], [[4, 4,
1, 5, 3], [v = -1, u = -2^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-3, -3], [2, 2], [0, 0]]]], [[4, 4, 1, 5, 4], [v = -1, u = -2
^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-1482911/1048576, -741455/524288], [-3, -3], [2, 2], [1, 1]]]], [[4, 4,
1, 5, 5], [v = -1, u = -2^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [
2, 2], [2, 2]]]], [[4, 5, 11, 8, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x,
y = 0, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [2, 2], [0, 0], [0, 0]]]], [[4, 10, 3, 6, 1], [v = -1, u = 1, And(-1 < x,x <
0), y = -x, z < 0], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/2, 1/2
], [-1, -1]]]], [[4, 10, 3, 6, 2], [v = -1, u = 1, And(-1 < x,x < 0), y = -x,
z = 0], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]]
, [[4, 10, 3, 6, 3], [v = -1, u = 1, And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 12
, 4, 7, 1], [v = -1, u = 2^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-1,
-1], [741455/524288, 1482911/1048576], [-1, -1], [2, 2], [0, 0]]]], [[5, 2, 5,
2, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z
< -3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/2,
-5/2], [-3, -3]]]], [[5, 2, 5, 2, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/2097152]]]]
, [[5, 2, 5, 2, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0),
y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2
, -3/2], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[5, 2, 5, 2
, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z =
3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/2, -5
/2], [908093/524288, 1816187/1048576]]]], [[5, 2, 5, 2, 5], [And(-1 < v,v < 0)
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/2, -5/2], [3, 3]
]]], [[5, 4, 3, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x <
-1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[5, 4, 3, 2, 2],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(
1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/
2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[5, 4, 3, 2, 3
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-
2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[5, 4, 3, 2, 4], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/
2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2,
-3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[5, 4, 3, 2, 5], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3/2,
-3/2], [-1/2, -1/2], [3, 3]]]], [[5, 11, 7, 6, 1], [And(-1 < v,v < 0), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = 0, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [0, 0], [0, 0]]]], [[5, 13, 4, 9, 1], [And(-1 < v,v < 0), (v^
2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z = z], [regular_chain, [[-1/2, -1/2], [3
, 3], [-1, -1], [10, 10], [0, 0]]]], [[6, 5, 6, 1, 1], [v = 0, And(-1 < u,u <
0), x = u^2-1, y < -2*u^2, z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-\
1/2, -1/2], [-3/4, -3/4], [-2, -2], [-3, -3]]]], [[6, 5, 6, 1, 2], [v = 0, And
(-1 < u,u < 0), x = u^2-1, y < -2*u^2, z = -(-u^2-y+1)^(1/2)], [regular_chain,
[[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-2, -2], [-1738867/1048576, -3477733/
2097152]]]], [[6, 5, 6, 1, 3], [v = 0, And(-1 < u,u < 0), x = u^2-1, y < -2*u^
2, And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0],
[-1/2, -1/2], [-3/4, -3/4], [-2, -2], [-1/4194304, -1/4194304]]]], [[6, 5, 6,
1, 4], [v = 0, And(-1 < u,u < 0), x = u^2-1, y < -2*u^2, z = (-u^2-y+1)^(1/2)]
, [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-2, -2], [869433/
524288, 1738867/1048576]]]], [[6, 5, 6, 1, 5], [v = 0, And(-1 < u,u < 0), x =
u^2-1, y < -2*u^2, (-u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2
], [-3/4, -3/4], [-2, -2], [3, 3]]]], [[6, 7, 7, 2, 1], [v = 0, And(0 < u,u <
1), And(u^2-1 < x,x < 0), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [
[0, 0], [1/2, 1/2], [-3/8, -3/8], [-7/8, -7/8], [-3, -3]]]], [[6, 7, 7, 2, 2],
[v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = -u^2-x-1, z = -(u^2+1)^(1/
2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-7/8, -7/8], [-146543
/131072, -1172343/1048576]]]], [[6, 7, 7, 2, 3], [v = 0, And(0 < u,u < 1), And
(u^2-1 < x,x < 0), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-7/8, -7/8], [0, 0]]]], [[6
, 7, 7, 2, 4], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = -u^2-x-1, z
= (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-7/8, -7
/8], [1172343/1048576, 146543/131072]]]], [[6, 7, 7, 2, 5], [v = 0, And(0 < u,
u < 1), And(u^2-1 < x,x < 0), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain
, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-7/8, -7/8], [3, 3]]]], [[6, 11, 5, 7, 1
], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), And(-x < y,y < u^2-x-1), z = z], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [9/2, 9/2], [0, 0]]]], [[7, 2, 1
, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y < 0, z < -(-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-1, -1], [-4, -4]]]
], [[7, 2, 1, 1, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y < 0, z =
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-1, -1],
[-146543/65536, -2344687/1048576]]]], [[7, 2, 1, 1, 3], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-1, -1], [0, 0]]]], [[7,
2, 1, 1, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y < 0, z = (-x-y)^
(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [-1, -1], [
2344687/1048576, 146543/65536]]]], [[7, 2, 1, 1, 5], [And(0 < v,v < 1), u = -(
v^2+2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
-3/2, -3/2], [-4, -4], [-1, -1], [4, 4]]]], [[7, 7, 7, 9, 1], [And(0 < v,v < 1
), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [2, 2], [0, 0]]]], [[7, 9, 9
, 1, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y
< -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[7, 9, 9, 1, 2]
, [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+
v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]],
[[7, 9, 9, 1, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x
< 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-\
3, -3], [0, 0]]]], [[7, 9, 9, 1, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^
(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-3, -3], [207243
/131072, 1657945/1048576]]]], [[7, 9, 9, 1, 5], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-\
3, -3], [3, 3]]]], [[7, 11, 1, 7, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [4437325
/1048576, 4437325/1048576], [0, 0]]]], [[7, 12, 7, 6, 1], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[8, 4, 8, 7, 1], [v = 1, u = -2^(1
/2), x = 1, 0 < y, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455
/524288], [1, 1], [1, 1], [0, 0]]]], [[8, 6, 7, 4, 1], [v = 1, u = -1, 1 < x,
y = -x, z < 0], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-2, -2], [-1, -1]]
]], [[8, 6, 7, 4, 2], [v = 1, u = -1, 1 < x, y = -x, z = 0], [regular_chain, [
[1, 1], [-1, -1], [2, 2], [-2, -2], [0, 0]]]], [[8, 6, 7, 4, 3], [v = 1, u = -\
1, 1 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-2, -2],
[1, 1]]]], [[8, 11, 3, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x <
-1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/
1048576, 359483/524288], [-2, -2]]]], [[8, 11, 3, 6, 2], [v = 1, And(1 < u,u <
2^(1/2)), And(-u^2 < x,x < -1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [718965/1048576, 359483/524288], [-772605/1048576, -1545209
/2097152]]]], [[8, 11, 3, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,
x < -1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [718965/1048576, 359483/524288], [-1/4194304, -1/4194304]]]
], [[8, 11, 3, 6, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y
= u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/1048576, 
359483/524288], [193151/262144, 772605/1048576]]]], [[8, 11, 3, 6, 5], [v = 1,
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = u^2-x-2, (-u^2+2)^(1/2) < z]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [718965/1048576, 359483/524288], [2, 2]]]], [[8, 
13, 2, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(0 < y,y < u^
2), z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-1297479/524288, -2594957/1048576], [2594957/2097152, 2594957/
2097152], [-3, -3]]]], [[8, 13, 2, 3, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2))
, x = -u^2, And(0 < y,y < u^2), z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
2594957/2097152, 2594957/2097152], [-145801/131072, -1166407/1048576]]]], [[8,
13, 2, 3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(0 < y,y < u^
2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
2594957/2097152, 2594957/2097152], [0, 0]]]], [[8, 13, 2, 3, 4], [v = 1, And(2
^(1/2) < u,u < 3^(1/2)), x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/524288,
-2594957/1048576], [2594957/2097152, 2594957/2097152], [1166407/1048576, 
145801/131072]]]], [[8, 13, 2, 3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x
= -u^2, And(0 < y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
2594957/2097152, 2594957/2097152], [3, 3]]]], [[9, 3, 1, 8, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-
v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [4696269/1048576, 2348135/
524288], [0, 0]]]], [[9, 4, 9, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1
/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-1, -1], [0, 0]
]]], [[9, 11, 11, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v)
, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [2, 2], [-1, -1], [0, 0]]]], [[9,
14, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = 0, z < -
(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [0, 0], [-3, -3]]]], [[9, 14, 1, 2, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[9, 14, 1
, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [1643659/1048576, 410915/262144], [-3, -3], [0, 0], [-1/4194304, -1/4194304
]]]], [[9, 14, 1, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y
= 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [0, 0], [908093/524288, 1816187/
1048576]]]], [[9, 14, 1, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x
< -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-3, -3], [0, 0], [3, 3]]]], [[10,
2, 2, 5, 1], [v = 2^(1/2), u = -2, x = -3, And(3 < y,y < 4), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [7/2, 7/
2], [0, 0]]]], [[10, 3, 10, 6, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
1, y = u^2-4, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [1, 1], [-543109/1048576, -1086217/2097152
], [0, 0]]]], [[10, 8, 3, 1, 1], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y <
-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1, -1], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[10, 8, 3, 1, 2], [v = 2^(1/2),
u = -1, And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-2, -2], [-7846825/
4194304, -980853/524288]]]], [[10, 8, 3, 1, 3], [v = 2^(1/2), u = -1, And(-2 <
x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-2, -2], [0, 0]]]]
, [[10, 8, 3, 1, 4], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y < -x-2, z = (
-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3
/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[10, 8, 3, 1, 5], [
v = 2^(1/2), u = -1, And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-2,
-2], [3, 3]]]], [[10, 10, 1, 3, 1], [v = 2^(1/2), u = 0, x < -3, And(0 < y,y <
-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[10, 10, 1, 3, 2], [v = 2^(1/2), u
= 0, x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [-4, -4], [1/2, 1/2], [-7846825/4194304, -\
980853/524288]]]], [[10, 10, 1, 3, 3], [v = 2^(1/2), u = 0, x < -3, And(0 < y,
y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [1/2, 1/2], [0, 0]]]], [[10, 10, 1
, 3, 4], [v = 2^(1/2), u = 0, x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [1/2, 1/2
], [980853/524288, 1961707/1048576]]]], [[10, 10, 1, 3, 5], [v = 2^(1/2), u =
0, x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [1/2, 1/2], [3, 3]]]], [[10, 15, 8
, 4, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y = u^2-3, z < -(-u^2+3)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [0, 0], [-1101541/2097152, -275385/524288], [-2, -2]]]], [[
10, 15, 8, 4, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y = u^2-3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [0, 0], [-1101541/2097152, -275385/524288], [-\
1519901/2097152, -379975/524288]]]], [[10, 15, 8, 4, 3], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097
/2097152], [0, 0], [-1101541/2097152, -275385/524288], [0, 0]]]], [[10, 15, 8,
4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y = u^2-3, z = (-u^2+3)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [0, 0], [-1101541/2097152, -275385/524288], [379975/524288,
759951/1048576]]]], [[10, 15, 8, 4, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = 0, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-1101541/
2097152, -275385/524288], [2, 2]]]], [[10, 17, 7, 3, 1], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [-6216173/4194304, -\
6216173/4194304], [-3, -3]]]], [[10, 17, 7, 3, 2], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [-6216173/4194304, -6216173/
4194304], [-4563/4096, -1168127/1048576]]]], [[10, 17, 7, 3, 3], [v = 2^(1/2),
And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152]
, [-6216173/4194304, -6216173/4194304], [0, 0]]]], [[10, 17, 7, 3, 4], [v = 2^
(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-6216173/
4194304, -6216173/4194304], [1168127/1048576, 4563/4096]]]], [[10, 17, 7, 3, 5
], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), And(-u^2-x+1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-\
6216173/4194304, -6216173/4194304], [3, 3]]]], [[10, 18, 7, 4, 1], [v = 2^(1/2
), u = 2, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 18, 7,
4, 2], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y = -x, z = 0], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[10, 18, 7, 4, 3], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-1/2, -\
1/2], [1, 1]]]], [[11, 1, 4, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1,
And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5],
[-1, -1], [-8, -8], [-4, -4]]]], [[11, 1, 4, 3, 2], [2^(1/2) < v, u < -(v^2+2)
^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[
3, 3], [-5, -5], [-1, -1], [-8, -8], [-3, -3]]]], [[11, 1, 4, 3, 3], [2^(1/2)
< v, u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [-8, -8], [0,
0]]]], [[11, 1, 4, 3, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(-u^2+v
^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1],
[-8, -8], [3, 3]]]], [[11, 1, 4, 3, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
-1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-5, -\
5], [-1, -1], [-8, -8], [4, 4]]]], [[11, 6, 7, 4, 1], [2^(1/2) < v, u = -v, 1
< x, y = -x, z < 0], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-2, -2], [-1,
-1]]]], [[11, 6, 7, 4, 2], [2^(1/2) < v, u = -v, 1 < x, y = -x, z = 0], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-2, -2], [0, 0]]]], [[11, 6, 7, 4,
3], [2^(1/2) < v, u = -v, 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [-3,
-3], [2, 2], [-2, -2], [1, 1]]]], [[11, 8, 8, 1, 1], [2^(1/2) < v, u = -(v^2-1
)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-2965821
/1048576, -11863283/4194304], [1, 1], [-4, -4], [-3, -3]]]], [[11, 8, 8, 1, 2]
, [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-4, -4
], [-1816187/1048576, -3632373/2097152]]]], [[11, 8, 8, 1, 3], [2^(1/2) < v, u
= -(v^2-1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-4, -4
], [-1/4194304, -1/4194304]]]], [[11, 8, 8, 1, 4], [2^(1/2) < v, u = -(v^2-1)^
(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1, 1], [-4, -4], [908093/524288, 1816187/1048576
]]]], [[11, 8, 8, 1, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, y < -3, (-y-\
1)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304],
[1, 1], [-4, -4], [3, 3]]]], [[11, 12, 5, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/
2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]],
[[11, 12, 5, 5, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[11, 12, 5, 5, 3], [2
^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 12, 5, 5, 4], [2^(1/2)
< v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [1/4,
1/4], [1/2, 1/2]]]], [[11, 12, 5, 5, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3],
[2774271/1048576, 10837/4096], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 14,
3, 1, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -
(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/
2, -3/2], [-2, -2], [-3, -3]]]], [[11, 14, 3, 1, 2], [2^(1/2) < v, u = (v^2-1)
^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-2, -2], [-7846825/
4194304, -980853/524288]]]], [[11, 14, 3, 1, 3], [2^(1/2) < v, u = (v^2-1)^(1/
2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-2, -\
2], [0, 0]]]], [[11, 14, 3, 1, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x
,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]
], [[11, 14, 3, 1, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y
< -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[11, 19, 11, 7, 1], [2^(1/2) < v
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < 0),
z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [
-3158215/4194304, -3158215/4194304], [0, 0]]]], [[11, 21, 8, 6, 1], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = 1, y = 0, z = z], [regular_chain, [[3, 3], [5, 5], [
1, 1], [0, 0], [0, 0]]]], [[1, 4, 1, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2),
x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576,
-207243/65536], [-3, -3], [1, 1], [-3, -3]]]], [[1, 4, 1, 4, 2], [v < -2^(1/2)
, u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[-3, -\
3], [-3315889/1048576, -207243/65536], [-3, -3], [1, 1], [-1482911/1048576, -\
741455/524288]]]], [[1, 4, 1, 4, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2
, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3, -3], [1, 1], [0, 0]]]], [[1, 4, 1, 4, 4]
, [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [1, 1],
[741455/524288, 1482911/1048576]]]], [[1, 4, 1, 4, 5], [v < -2^(1/2), u = -(v^
2+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3, -3], [1, 1], [3, 3]]]], [[1, 5, 11, 7, 1
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-x < y,y < 0), z =
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-1,
-1], [0, 0]]]], [[1, 11, 7, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (
v^2-2)^(1/2)), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [0
, 0], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 11, 7, 4, 2], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 11
, 7, 4, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-1/2
, -1/2], [1, 1]]]], [[1, 13, 4, 7, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = -1, And(1 < y,y < -u^2+v^2), z = z], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [-1, -1], [657547/524288, 657547/
524288], [0, 0]]]], [[1, 17, 7, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(
1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-195745/262144, -195745/262144], [-3, -3]
]]], [[1, 17, 7, 3, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-
v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-195745/262144, -195745/262144], [-1048577/1048576, -1]]]],
[[1, 17, 7, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [-195745/262144, -195745/262144], [0, 0]]]
], [[1, 17, 7, 3, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^
2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-195745/262144, -195745/262144], [1, 1048577/1048576]]]], [
[1, 17, 7, 3, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-195745/262144, -195745/262144], [3, 3]]]], [[1, 19, 6, 4,
1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = 0, z <
0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [0,
0], [-1, -1]]]], [[1, 19, 6, 4, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [0, 0], [0, 0], [0, 0]]]], [[1, 19, 6, 4, 3], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [0, 0],
[1, 1]]]], [[2, 3, 5, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[1/4, 1/4], [-2, -2]]]], [[2, 3, 5, 5, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[2, 3, 5, 5, 3], [v = -2^(1/2), And
(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2,
3, 5, 5, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2,
1/2]]]], [[2, 3, 5, 5, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x
,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[1/4, 1/4], [2, 2]]]], [[2, 5, 4, 8, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1, -1], [1, 1], [-1, -1]]]], [[2, 5, 4
, 8, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = 1, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [1, 1], [0, 0]]]], [[2, 5, 4, 8, 3], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = -1, y = 1, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [1,
1], [1, 1]]]], [[2, 6, 5, 7, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1), 0 < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [1, 1], [0, 0]]]], [[2, 8, 7, 1, 1], [v
= -2^(1/2), u = -1, And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-4,
-4], [-3, -3]]]], [[2, 8, 7, 1, 2], [v = -2^(1/2), u = -1, And(0 < x,x < 1), y
< -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[2,
8, 7, 1, 3], [v = -2^(1/2), u = -1, And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [1/2, 1/2], [-4, -4], [0, 0]]]], [[2, 8, 7, 1, 4], [v = -2^(1/2),
u = -1, And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-4, -4], [980853/
524288, 1961707/1048576]]]], [[2, 8, 7, 1, 5], [v = -2^(1/2), u = -1, And(0 <
x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1/2, 1/2], [-4, -4], [3, 3]]]], [[2, 13, 10, 6, 1],
[v = -2^(1/2), And(1 < u,u < -v), x = 1, y = -1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1],
[-1, -1], [-1, -1]]]], [[2, 13, 10, 6, 2], [v = -2^(1/2), And(1 < u,u < -v), x
= 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1, 1], [-1, -1], [0, 0]]]], [[2, 13, 10, 6
, 3], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y = -1, 0 < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1
], [-1, -1], [1, 1]]]], [[2, 15, 11, 5, 1], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), 1 < x, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2],
[-2372537/1048576, -2372537/1048576], [-2, -2]]]], [[2, 15, 11, 5, 2], [v = -2
^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [2, 2], [-2372537/1048576, -2372537/1048576], [-268683/
524288, -1074731/2097152]]]], [[2, 15, 11, 5, 3], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), 1 < x, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [2, 2], [-2372537/1048576, -2372537/1048576], [-1/4194304, -\
1/4194304]]]], [[2, 15, 11, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 <
x, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-\
2372537/1048576, -2372537/1048576], [537365/1048576, 268683/524288]]]], [[2, 
15, 11, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, And(u^2-x-3 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [3299097/2097152, 3299097/2097152], [2, 2], [-2372537/1048576, -2372537/
1048576], [2, 2]]]], [[2, 19, 10, 3, 1], [v = -2^(1/2), 2 < u, x = u^2-3, And(
-2*u^2+4 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [6, 6], [-10, -10], [-3, -3]]]], [[2, 19, 10
, 3, 2], [v = -2^(1/2), 2 < u, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = -(
-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3],
[6, 6], [-10, -10], [-2, -2]]]], [[2, 19, 10, 3, 3], [v = -2^(1/2), 2 < u, x =
u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6],
[-10, -10], [0, 0]]]], [[2, 19, 10, 3, 4], [v = -2^(1/2), 2 < u, x = u^2-3, 
And(-2*u^2+4 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [6, 6], [-10, -10], [2, 2]]]], [[2,
19, 10, 3, 5], [v = -2^(1/2), 2 < u, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3),
(-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [6, 6], [-10, -10], [3, 3]]]], [[3, 2, 5, 6, 1], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/
2, -1/2], [1/2, 1/2], [-1, -1]]]], [[3, 2, 5, 6, 2], [And(-2^(1/2) < v,v < -1)
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/
2, -1/2], [1/2, 1/2], [0, 0]]]], [[3, 2, 5, 6, 3], [And(-2^(1/2) < v,v < -1),
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/
2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 8, 1, 3, 1], [And(-2^(1/2) < v,v < -1),
u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[3, 8, 1, 3, 2], [And(-2^(
1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/
131072]]]], [[3, 8, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x
< -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [1/2, 1/2], [0, 0]]]], [[3, 8, 1, 3, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152
, -354469/524288], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]],
[[3, 8, 1, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(0
< y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1/2, 1/2], [3, 3]]]]
, [[3, 9, 11, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [2, 2], [-3235683/2097152, -1617841/
1048576], [0, 0]]]], [[3, 17, 2, 1, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576
], [-1, -1], [-5, -5]]]], [[3, 17, 2, 1, 2], [And(-2^(1/2) < v,v < -1), (v^2+2
)^(1/2) < u, x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/
1048576], [-1, -1], [-3239217/1048576, -202451/65536]]]], [[3, 17, 2, 1, 3], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, And(-(u^2-
v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [-1,
-1], [0, 0]]]], [[3, 17, 2, 1, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) <
u, x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [-1,
-1], [202451/65536, 3239217/1048576]]]], [[3, 17, 2, 1, 5], [And(-2^(1/2) < v,
v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288
, -8957873/1048576], [-1, -1], [5, 5]]]], [[4, 1, 8, 4, 1], [v = -1, u < -3^(1
/2), x = 1, y = -1, z < 0], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-1,
-1], [-1, -1]]]], [[4, 1, 8, 4, 2], [v = -1, u < -3^(1/2), x = 1, y = -1, z =
0], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-1, -1], [0, 0]]]], [[4, 1,
8, 4, 3], [v = -1, u < -3^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1,
-1], [-3, -3], [1, 1], [-1, -1], [1, 1]]]], [[4, 7, 4, 3, 1], [v = -1, And(-1
< u,u < 0), x = -1, And(u^2-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [
[-1, -1], [-1/2, -1/2], [-1, -1], [-3/8, -3/8], [-3, -3]]]], [[4, 7, 4, 3, 2],
[v = -1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-3/8, -3/8], [-1229565/
1048576, -307391/262144]]]], [[4, 7, 4, 3, 3], [v = -1, And(-1 < u,u < 0), x =
-1, And(u^2-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-3/8, -3/8], [0, 0]]]], [[4
, 7, 4, 3, 4], [v = -1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < 0), z = (
1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-3/8, -3/8],
[307391/262144, 1229565/1048576]]]], [[4, 7, 4, 3, 5], [v = -1, And(-1 < u,u <
0), x = -1, And(u^2-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1, -1],
[-1/2, -1/2], [-1, -1], [-3/8, -3/8], [3, 3]]]], [[4, 9, 3, 6, 1], [v = -1, 
And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -u^2-x, z < -u], [regular_chain,
[[-1, -1], [1/2, 1/2], [-11/8, -11/8], [9/8, 9/8], [-2, -2]]]], [[4, 9, 3, 6,
2], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [9/8, 9/8], [-1/2, -1/2]
]]], [[4, 9, 3, 6, 3], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -
u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/
8], [9/8, 9/8], [0, 0]]]], [[4, 9, 3, 6, 4], [v = -1, And(0 < u,u < 1), And(u^
2-2 < x,x < -1), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
11/8, -11/8], [9/8, 9/8], [1/2, 1/2]]]], [[4, 9, 3, 6, 5], [v = -1, And(0 < u,
u < 1), And(u^2-2 < x,x < -1), y = -u^2-x, u < z], [regular_chain, [[-1, -1],
[1/2, 1/2], [-11/8, -11/8], [9/8, 9/8], [2, 2]]]], [[4, 13, 5, 7, 1], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(-x < y,y < u^2-x-2), z =
z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2
], [1546381/2097152, 1546381/2097152], [0, 0]]]], [[4, 15, 3, 3, 1], [v = -1,
3^(1/2) < u, And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [3, 3], [-5, -5], [-2, -2], [-4, -4]]]], [[4, 15, 3
, 3, 2], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [-2, -2], [-\
5548543/2097152, -2774271/1048576]]]], [[4, 15, 3, 3, 3], [v = -1, 3^(1/2) < u
, And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [-2, -2], [0, 0]]]], [
[4, 15, 3, 3, 4], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(-u^2-x < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [-2, -2]
, [2774271/1048576, 10837/4096]]]], [[4, 15, 3, 3, 5], [v = -1, 3^(1/2) < u, 
And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain
, [[-1, -1], [3, 3], [-5, -5], [-2, -2], [4, 4]]]], [[5, 5, 4, 4, 1], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, z < -1], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[0, 0], [-2, -2]]]], [[5, 5, 4, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[5, 5, 4, 4, 3], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, And(-1 < z,z
< 1)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1, -1], [0, 0], [0, 0]]]], [[5, 5, 4, 4, 4], [And(-1 < v,v < 0), And(-(v^2+1)^
(1/2) < u,u < v), x = -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [0, 0], [1, 1]]]], [[5, 5, 4, 4,
5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, 1 < z],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[0, 0], [2, 2]]]], [[5, 7, 5, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16], [-3, -3]]]
], [[5, 7, 5, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16], [-67553/65536, -1080847/
1048576]]]], [[5, 7, 5, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16]
, [0, 0]]]], [[5, 7, 5, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16], [1080847/
1048576, 67553/65536]]]], [[5, 7, 5, 3, 5], [And(-1 < v,v < 0), And(v < u,u <
-v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16], [3, 3]]
]], [[5, 8, 6, 2, 1], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, z < -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [-2, -2]]]], [[5,
8, 6, 2, 2], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, z = -1], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [-1, -1]]]], [[5,
8, 6, 2, 3], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [0, 0]]]], [[5, 8,
6, 2, 4], [And(-1 < v,v < 0), u = -v, x = 1, y = -2, z = 1], [regular_chain, [
[-1/2, -1/2], [1/2, 1/2], [1, 1], [-2, -2], [1, 1]]]], [[5, 8, 6, 2, 5], [And(
-1 < v,v < 0), u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[-1/2, -1/2], [
1/2, 1/2], [1, 1], [-2, -2], [2, 2]]]], [[5, 10, 7, 3, 1], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [
-3/2, -3/2], [-2, -2]]]], [[5, 10, 7, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^(
1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-\
3/2, -3/2], [-1, -1]]]], [[5, 10, 7, 3, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2
, 1/2], [-3/2, -3/2], [0, 0]]]], [[5, 10, 7, 3, 4], [And(-1 < v,v < 0), u = (v
^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-\
3/2, -3/2], [1, 1]]]], [[5, 10, 7, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2
), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-3/2, -3/2], [2,
2]]]], [[6, 2, 7, 1, 1], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y < -x-3, z <
-(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [
1/2, 1/2], [-5, -5], [-4, -4]]]], [[6, 2, 7, 1, 2], [v = 0, u = -2^(1/2), And(
0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911
/1048576, -741455/524288], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/
1048576]]]], [[6, 2, 7, 1, 3], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y < -x-\
3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-5, -5], [0, 0]]]], [[6, 2, 7,
1, 4], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-5, -\
5], [2224365/1048576, 1112183/524288]]]], [[6, 2, 7, 1, 5], [v = 0, u = -2^(1/
2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-5, -5], [4, 4]]]], [[6, 4, 5,
3, 1], [v = 0, u = -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/
2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]
], [[6, 4, 5, 3, 2], [v = 0, u = -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3/4, -3/4
], [-146543/131072, -1172343/1048576]]]], [[6, 4, 5, 3, 3], [v = 0, u = -1, 
And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]],
[[6, 4, 5, 3, 4], [v = 0, u = -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3/4, -3/4],
[1172343/1048576, 146543/131072]]]], [[6, 4, 5, 3, 5], [v = 0, u = -1, And(-1
< x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [
-1, -1], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[6, 8, 8, 3, 1], [v = 0, u =
1, x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1,
1], [1, 1], [-2, -2], [-2, -2]]]], [[6, 8, 8, 3, 2], [v = 0, u = 1, x = 1, And
(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1],
[-2, -2], [-1, -1]]]], [[6, 8, 8, 3, 3], [v = 0, u = 1, x = 1, And(-3 < y,y <
-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [1, 1]
, [1, 1], [-2, -2], [0, 0]]]], [[6, 8, 8, 3, 4], [v = 0, u = 1, x = 1, And(-3
< y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [-2,
-2], [1, 1]]]], [[6, 8, 8, 3, 5], [v = 0, u = 1, x = 1, And(-3 < y,y < -1), (-
y-1)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [1, 1], [-2, -2], [2, 2]]]],
[[6, 10, 5, 8, 1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = 1-x, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [3/2,
3/2], [0, 0]]]], [[7, 4, 6, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x =
0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[7, 4, 6, 3, 2], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2
)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [
-1, -1], [-1, -1]]]], [[7, 4, 6, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain
, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [-1, -1], [0, 0]]]]
, [[7, 4, 6, 3, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y
< 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [0, 0], [-1, -1], [1, 1]]]], [[7, 4, 6, 3, 5], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [-1, -1], [2, 2]]]], [
[7, 6, 5, 6, 1], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[7,
13, 7, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2-
x-1 < y, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [9, 9], [0,
0]]]], [[8, 2, 2, 6, 1], [v = 1, u = -3^(1/2), x = -3, y = 4, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [4, 4]
, [0, 0]]]], [[8, 7, 9, 9, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), 0
< y, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0]
]]], [[8, 9, 8, 6, 1], [v = 1, And(0 < u,u < 1), x = 0, y = 0, z < 0], [
regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[8, 9, 8, 6,
2], [v = 1, And(0 < u,u < 1), x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [
1/2, 1/2], [0, 0], [0, 0], [0, 0]]]], [[8, 9, 8, 6, 3], [v = 1, And(0 < u,u <
1), x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [0, 0],
[1, 1]]]], [[8, 13, 11, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y
= u^2-x-2, z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152]
, [2, 2], [-3198693/2097152, -799673/524288], [0, 0]]]], [[8, 15, 8, 5, 1], [v
= 1, 3^(1/2) < u, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[1, 1], [
3, 3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[9, 5, 10, 1, 1], [And(1 < v,v < 2^(1
/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-4, -4], [-3, -3]]]], [[9, 5, 10, 1, 2], [And(1 < v
,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z = -(-y
-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1, 1], [-4, -4], [-1816187/1048576, -3632373/
2097152]]]], [[9, 5, 10, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) <
u,u < -v), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[9, 5, 10, 1
, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y < -u^2
+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[9, 5, 10, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1,
1], [-4, -4], [3, 3]]]], [[9, 7, 10, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1273761/1048576, -1273761/1048576], [-2, -2]]]], [
[9, 7, 10, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-\
1273761/1048576, -1273761/1048576], [-242963/524288, -485925/1048576]]]], [[9,
7, 10, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1,
And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1273761/1048576, -1273761/1048576], [0, 0]]]], [[9
, 7, 10, 5, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1
, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-\
1273761/1048576, -1273761/1048576], [485925/1048576, 242963/524288]]]], [[9, 7
, 10, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, 
And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-\
1273761/1048576, -1273761/1048576], [2, 2]]]], [[9, 9, 3, 7, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [1026087/
524288, 1026087/524288], [0, 0]]]], [[9, 11, 2, 4, 1], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [1196409/
1048576, 598205/524288], [-2, -2]]]], [[9, 11, 2, 4, 2], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [1196409/
1048576, 598205/524288], [-1374407/2097152, -687203/1048576]]]], [[9, 11, 2, 4
, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y
= -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1196409/1048576, 598205/
524288], [0, 0]]]], [[9, 11, 2, 4, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1196409/1048576, 598205/
524288], [687203/1048576, 171801/262144]]]], [[9, 11, 2, 4, 5], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [
1196409/1048576, 598205/524288], [2, 2]]]], [[9, 16, 7, 5, 1], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 1, 4, 4, 1], [v = 2^(1/2)
, u < -2, x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[10, 1, 4, 4, 2], [v = 2^(
1/2), u < -2, x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [-1, -1], [0, 0], [-1, -1]]]], [[10, 1, 4, 4, 3], [v = 2^
(1/2), u < -2, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0], [0, 0]]]], [[10, 1, 4, 4
, 4], [v = 2^(1/2), u < -2, x = -1, y = 0, z = 1], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[10, 1, 4, 4
, 5], [v = 2^(1/2), u < -2, x = -1, y = 0, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0], [2, 2]]]], [[10, 5, 3, 8
, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y = -x,
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-1297479/1048576, -1297479/1048576], [1297479/1048576, 
1297479/1048576], [-1, -1]]]], [[10, 5, 3, 8, 2], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), And(-u^2+1 < x,x < -1), y = -x, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [1297479/1048576, 1297479/1048576], [0, 0]]]], [[
10, 5, 3, 8, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1
), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [
1297479/1048576, 1297479/1048576], [1, 1]]]], [[10, 7, 4, 3, 1], [v = 2^(1/2),
And(-v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-569265/2097152, -569265/2097152], [-3, -3]]]], [[10, 7,
4, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), z =
-(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152], [-\
591179/524288, -1182357/1048576]]]], [[10, 7, 4, 3, 3], [v = 2^(1/2), And(-v <
u,u < -1), x = -1, And(u^2-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152], [0, 0]]]], [[
10, 7, 4, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(u^2-2 < y,y < 0
), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-569265/2097152, -569265/
2097152], [1182357/1048576, 591179/524288]]]], [[10, 7, 4, 3, 5], [v = 2^(1/2)
, And(-v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-569265/2097152, -569265/2097152], [3, 3]]]], [[10, 12, 7
, 2, 1], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [-5/2, -\
5/2], [-3, -3]]]], [[10, 12, 7, 2, 2], [v = 2^(1/2), u = 1, And(0 < x,x < 1),
y = -x-2, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[10, 
12, 7, 2, 3], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y = -x-2, And(-2^(1/2) <
z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1
/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[10, 12, 7, 2, 4], [v = 2^(1/2), u = 1, 
And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/
1048576]]]], [[10, 12, 7, 2, 5], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y = -x
-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [
1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[10, 14, 5, 6, 1], [v = 2^(1/2), u = v, 
And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[
11, 2, 2, 4, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, y = 3, z < 0], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [3, 3],
[-1, -1]]]], [[11, 2, 2, 4, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, y =
3, z = 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3,
-3], [3, 3], [0, 0]]]], [[11, 2, 2, 4, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x
= -3, y = 3, 0 < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-3, -3], [3, 3], [1, 1]]]], [[11, 3, 10, 5, 1], [2^(1/2) < v, And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-1 < y,y < u^2-v^2-2), z = z
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
394777/524288, -394777/524288], [0, 0]]]], [[11, 9, 8, 6, 1], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 0, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [0, 0], [0, 0]]]], [[11, 11, 5, 5, 1], [2^(1/2) < v,
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [1/4, 1/
4], [-2, -2]]]], [[11, 11, 5, 5, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[
11, 11, 5, 5, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And
(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 11,
5, 5, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,
x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0],
[-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 11, 5, 5, 5], [2^(1/2) < v, And
(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [1/4, 1/4],
[2, 2]]]], [[11, 15, 4, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x =
-1, And(-u^2+v^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152
], [-2, -2]]]], [[11, 15, 4, 7, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v)
, x = -1, And(-u^2+v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-1, -1], [1580581/2097152, 1580581/
2097152], [-16263/32768, -520415/1048576]]]], [[11, 15, 4, 7, 3], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 1), And(-(1-y)^(1
/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [0, 0]]]], [[11, 15, 4
, 7, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,
y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [520415/1048576, 16263
/32768]]]], [[11, 15, 4, 7, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= -1, And(-u^2+v^2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152
], [2, 2]]]], [[11, 17, 5, 2, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [-776075/1048576, -1552149/2097152], [-3, -3]]]], [[11, 17,
5, 2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1
), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-776075/
1048576, -1552149/2097152], [-1281417/1048576, -160177/131072]]]], [[11, 17, 5
, 2, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1)
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [-776075/1048576, -1552149/2097152], [0, 0]]]], [[11, 17, 5,
2, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1),
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-776075/1048576
, -1552149/2097152], [160177/131072, 1281417/1048576]]]], [[11, 17, 5, 2, 5],
[2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^
2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [-776075/1048576, -\
1552149/2097152], [3, 3]]]], [[1, 1, 6, 1, 1], [v < -2^(1/2), u < -(v^2+2)^(1/
2), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -\
5], [0, 0], [-18, -18], [-6, -6]]]], [[1, 1, 6, 1, 2], [v < -2^(1/2), u < -(v^
2+2)^(1/2), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-3, -3]
, [-5, -5], [0, 0], [-18, -18], [-1112183/262144, -4448731/1048576]]]], [[1, 1
, 6, 1, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [0, 0], [-\
18, -18], [0, 0]]]], [[1, 1, 6, 1, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [0, 0
], [-18, -18], [4448731/1048576, 1112183/262144]]]], [[1, 1, 6, 1, 5], [v < -2
^(1/2), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [0, 0], [-18, -18], [6, 6]]]], [[1, 3, 3,
6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [-915943/524288, -915943/524288], [915943/524288, 915943/
524288], [-1, -1]]]], [[1, 3, 3, 6, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [915943/524288, 915943/524288], [0, 0]]]], [[1, 3, 3,
6, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [-915943/524288, -915943/524288], [915943/524288, 915943/
524288], [1, 1]]]], [[1, 9, 1, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2
)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4
], [391029/524288, 391029/524288], [-3, -3]]]], [[1, 9, 1, 3, 2], [v < -2^(1/2
), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^
2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608,
-22960369/8388608], [-4, -4], [391029/524288, 391029/524288], [-7566241/
4194304, -236445/131072]]]], [[1, 9, 1, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [391029/524288, 391029/524288], [0, 0]]
]], [[1, 9, 1, 3, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)
), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
391029/524288, 391029/524288], [236445/131072, 1891561/1048576]]]], [[1, 9, 1,
3, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-\
1, And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
-22960369/8388608, -22960369/8388608], [-4, -4], [391029/524288, 391029/524288
], [3, 3]]]], [[1, 10, 7, 6, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,
x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 14, 5, 3, 1], [v < -2^(1/2), u =
(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/
4, -3/4], [-3, -3]]]], [[1, 14, 5, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/4, -3/4], [-\
146543/131072, -1172343/1048576]]]], [[1, 14, 5, 3, 3], [v < -2^(1/2), u = (v^
2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [
-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[1, 14, 5, 3, 4], [v < -2^(1/2), u = (v
^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/
4, -3/4], [1172343/1048576, 146543/131072]]]], [[1, 14, 5, 3, 5], [v < -2^(1/2
), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z
], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2],
[-3/4, -3/4], [3, 3]]]], [[1, 16, 4, 4, 1], [v < -2^(1/2), u = -v, x = 0, y =
0, z < 0], [regular_chain, [[-3, -3], [3, 3], [0, 0], [0, 0], [-1, -1]]]], [[1
, 16, 4, 4, 2], [v < -2^(1/2), u = -v, x = 0, y = 0, z = 0], [regular_chain, [
[-3, -3], [3, 3], [0, 0], [0, 0], [0, 0]]]], [[1, 16, 4, 4, 3], [v < -2^(1/2),
u = -v, x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3], [3, 3], [0, 0], [0, 0
], [1, 1]]]], [[1, 21, 10, 4, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^
2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-3, -3], [5, 5], [15, 15], [-15
, -15], [-1, -1]]]], [[1, 21, 10, 4, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-3, -3], [5, 5], [15, 15]
, [-15, -15], [0, 0]]]], [[1, 21, 10, 4, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u,
x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-3, -3], [5, 5], [15,
15], [-15, -15], [1, 1]]]], [[2, 2, 5, 7, 1], [v = -2^(1/2), u = -2, And(-1 <
x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-1/2, -1/2], [1, 1], [0, 0]]]], [[2, 9, 7, 3, 1], [
v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [3/8, 3/8], [-7/4, -7/4], [-3, -3]]]], [[2, 9, 7, 3, 2], [v = -2^(
1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/
2], [3/8, 3/8], [-7/4, -7/4], [-1229565/1048576, -307391/262144]]]], [[2, 9, 7
, 3, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And(u^2-x-3
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [-7/4, -7/4], [0,
0]]]], [[2, 9, 7, 3, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+
1), And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [-7/4, -7/4], [307391/
262144, 1229565/1048576]]]], [[2, 9, 7, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0
), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8],
[-7/4, -7/4], [3, 3]]]], [[2, 11, 4, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), x
= -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2
, 1/2], [-1, -1], [1, 1], [-1, -1]]]], [[2, 11, 4, 6, 2], [v = -2^(1/2), And(0
< u,u < 1), x = -1, y = 1, z = 0], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [-1, -1], [1, 1], [0, 0]]]], [[2, 11, 4, 6, 3], [v = -2^
(1/2), And(0 < u,u < 1), x = -1, y = 1, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1, -1], [1, 1], [1, 1]]]], [[2, 17, 2,
3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(0 < y,y < u^2-1)
, z < -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [
2602619/2097152, 2602619/2097152], [-3, -3]]]], [[2, 17, 2, 3, 2], [v = -2^(1/
2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152,
3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 
2602619/2097152], [-4563/4096, -1168127/1048576]]]], [[2, 17, 2, 3, 3], [v = -
2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^2-y
-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/
1048576], [2602619/2097152, 2602619/2097152], [0, 0]]]], [[2, 17, 2, 3, 4], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(0 < y,y < u^2-1), z = (u^2
-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/
2097152, 2602619/2097152], [1168127/1048576, 4563/4096]]]], [[2, 17, 2, 3, 5],
[v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(0 < y,y < u^2-1), (u^2-
y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339
/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/
2097152, 2602619/2097152], [3, 3]]]], [[2, 18, 8, 6, 1], [v = -2^(1/2), u = 2,
x = 1, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [1, 1], [0, 0], [0, 0]]]], [[3, 3, 5, 4, 1], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 3, 5, 4,
2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [0, 0]
, [-1482911/2097152, -741455/1048576]]]], [[3, 3, 5, 4, 3], [And(-2^(1/2) < v,
v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [0, 0]
, [0, 0]]]], [[3, 3, 5, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[3
, 3, 5, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [0, 0], [2, 2]]]], [[3, 5, 4, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [1538813/2097152, 1538813/2097152], [-2, -2]]]], [
[3, 5, 4, 7, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x =
-1, And(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [
1538813/2097152, 1538813/2097152], [-270523/524288, -1082091/2097152]]]], [[3,
5, 4, 7, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1,
And(u^2-v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-1, -1], [1538813/2097152, 1538813/2097152], [-1/4194304, -1/4194304]]]], [[3
, 5, 4, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -\
1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [
1538813/2097152, 1538813/2097152], [541045/1048576, 270523/524288]]]], [[3, 5,
4, 7, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, 
And(u^2-v^2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [1538813/
2097152, 1538813/2097152], [2, 2]]]], [[3, 11, 2, 4, 1], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [1196409/
1048576, 598205/524288], [-2, -2]]]], [[3, 11, 2, 4, 2], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [1196409/
1048576, 598205/524288], [-1374407/2097152, -687203/1048576]]]], [[3, 11, 2, 4
, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1,
y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1196409/1048576, 598205/
524288], [0, 0]]]], [[3, 11, 2, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1196409/1048576, 598205/
524288], [687203/1048576, 171801/262144]]]], [[3, 11, 2, 4, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [
1196409/1048576, 598205/524288], [2, 2]]]], [[3, 13, 3, 5, 1], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [735353/2097152, 735353/2097152], [-2, -2]]]], [[3, 13, 3, 5
, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [735353/2097152, 735353/2097152], [-\
15766287/16777216, -7883143/8388608]]]], [[3, 13, 3, 5, 3], [And(-2^(1/2) < v,
v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,
y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [735353/2097152, 735353/2097152], [-7/
16777216, -7/16777216]]]], [[3, 13, 3, 5, 4], [And(-2^(1/2) < v,v < -1), And(-
v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-\
1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [
735353/2097152, 735353/2097152], [61587/65536, 985393/1048576]]]], [[3, 13, 3,
5, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [735353/2097152, 735353/2097152], [2, 2]]]
], [[3, 14, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x
,x < -1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1643659/1048576, 410915/262144], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[
3, 14, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x <
-1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[3, 14,
3, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y
= -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[3, 16, 2, 3, 1
], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z <
-(3-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[3, 16, 2, 3, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = -(
3-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/
524288]]]], [[3, 16, 2, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
= -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3,
-3], [3/2, 3/2], [0, 0]]]], [[3, 16, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3],
[3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[3, 16, 2, 3, 5], [And(-2^(1
/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-3, -3], [3/2, 3/2], [3, 3]]]], [[4, 4, 1, 4, 1], [v = -1,
u = -2^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-3, -3]]]], [[4, 4, 1, 4,
2], [v = -1, u = -2^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[
-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[4, 4, 1, 4, 3], [v = -1, u = -2^(1/2), x < -2,
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1], [-1482911
/1048576, -741455/524288], [-3, -3], [1, 1], [0, 0]]]], [[4, 4, 1, 4, 4], [v =
-1, u = -2^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1], [
-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [741455/524288, 1482911/
1048576]]]], [[4, 4, 1, 4, 5], [v = -1, u = -2^(1/2), x < -2, y = -x-2, 2^(1/2
) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3
], [1, 1], [3, 3]]]], [[4, 5, 11, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1
< x, And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[4, 10, 3, 7, 1], [v = -1, u
= 1, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-1, -1], [1, 1], [-1
/2, -1/2], [2, 2], [0, 0]]]], [[4, 12, 5, 1, 1], [v = -1, u = 2^(1/2), And(-1
< x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[4, 12, 5, 1,
2], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3,
-3], [-7846825/4194304, -980853/524288]]]], [[4, 12, 5, 1, 3], [v = -1, u = 2^
(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3
, -3], [0, 0]]]], [[4, 12, 5, 1, 4], [v = -1, u = 2^(1/2), And(-1 < x,x < 0),
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]],
[[4, 12, 5, 1, 5], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(
1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2,
-1/2], [-3, -3], [3, 3]]]], [[5, 2, 5, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)
^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1/
2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[5, 2, 5, 1, 2],
[And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-4, -4]
, [-1112183/524288, -2224365/1048576]]]], [[5, 2, 5, 1, 3], [And(-1 < v,v < 0)
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-4,
-4], [0, 0]]]], [[5, 2, 5, 1, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(
-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3
/2, -3/2], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[5,
2, 5, 1, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x
-3, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/
2], [-4, -4], [4, 4]]]], [[5, 4, 3, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1
/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2], [-2, -2], [-3, -3]]]]
, [[5, 4, 3, 1, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1)
, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072
, -1172343/1048576], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288
]]]], [[5, 4, 3, 1, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x <
-1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/
2, -1/2], [-146543/131072, -1172343/1048576], [-3/2, -3/2], [-2, -2], [0, 0]]]
], [[5, 4, 3, 1, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -1
), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072
, -1172343/1048576], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]
]], [[5, 4, 3, 1, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-2 < x,x < -\
1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[5, 11, 7, 7, 1
], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x <
u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [243021/
2097152, 243021/2097152], [0, 0]]]], [[5, 13, 5, 1, 1], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-11, -11], [-5, -5]]]], [
[5, 13, 5, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1
/2, -1/2], [-11, -11], [-3555895/1048576, -1777947/524288]]]], [[5, 13, 5, 1,
3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3,
3], [-1/2, -1/2], [-11, -11], [0, 0]]]], [[5, 13, 5, 1, 4], [And(-1 < v,v < 0)
, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-11, -11], [1777947/
524288, 3555895/1048576]]]], [[5, 13, 5, 1, 5], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-11, -11], [5, 5]]]], [[6
, 5, 5, 9, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), -x < y, z = z
], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [2, 2], [0, 0]]]], [[6
, 7, 7, 1, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y < -u^2-x-1, z
< -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-2, -2],
[-3, -3]]]], [[6, 7, 7, 1, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0),
y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8,
-3/8], [-2, -2], [-3231929/2097152, -403991/262144]]]], [[6, 7, 7, 1, 3], [v =
0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y < -u^2-x-1, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-2, -\
2], [0, 0]]]], [[6, 7, 7, 1, 4], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0
), y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8
, -3/8], [-2, -2], [403991/262144, 1615965/1048576]]]], [[6, 7, 7, 1, 5], [v =
0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-2, -2], [3, 3]]]], [[6, 11
, 5, 8, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), y = u^2-x-1, z = z], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [17/2, 17/2], [0, 0]]]], [[7, 2,
1, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y = 0, z < -(-x)^(1/2
)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [0, 0], [-3, -3]]]],
[[7, 2, 1, 2, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y = 0, z = -(
-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [0, 0], [-2,
-2]]]], [[7, 2, 1, 2, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [-4, -4], [0, 0], [0, 0]]]], [[7, 2, 1, 2, 4], [And(0 < v,v < 1), u = -(v
^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [-4, -4], [0, 0], [2, 2]]]], [[7, 2, 1, 2, 5], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [-4, -4], [0, 0], [3, 3]]]], [[7, 7, 7, 8, 1], [And(0 < v,v < 1)
, And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain
, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [3/8, 3/8], [-1, -1]]]], [[7, 7, 7, 8, 2]
, [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -x, z =
0], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [3/8, 3/8], [0, 0]]]],
[[7, 7, 7, 8, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x <
0), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [3/8, 3
/8], [1, 1]]]], [[7, 9, 8, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/
2)), x = 0, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [1, 1], [0, 0]]]], [[7, 11, 1, 6, 1], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [4, 4],
[-1, -1]]]], [[7, 11, 1, 6, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-4, -4], [4, 4], [0, 0]]]], [[7, 11, 1, 6, 3],
[And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y
= -x, 0 < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4
, -4], [4, 4], [1, 1]]]], [[7, 12, 7, 5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1
/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[8, 4, 9, 1, 1], [v = 1, u =
-2^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [2, 2], [-5, -5], [-3, -3]]]], [[8, 4, 9, 1,
2], [v = 1, u = -2^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[8, 4, 9, 1, 3], [v = 1, u = -2^(1/2), 1 < x,
y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
-1482911/1048576, -741455/524288], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]
]], [[8, 4, 9, 1, 4], [v = 1, u = -2^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [2, 2], [-5, -5
], [908093/524288, 1816187/1048576]]]], [[8, 4, 9, 1, 5], [v = 1, u = -2^(1/2)
, 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [2, 2], [-5, -5], [3, 3]]]], [[8, 6, 7, 5, 1], [v =
1, u = -1, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [-1, -1]
, [2, 2], [-1, -1], [0, 0]]]], [[8, 11, 3, 5, 1], [v = 1, And(1 < u,u < 2^(1/2
)), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [718965/2097152, 718965/2097152], [-2, -2]]]], [[8, 11, 3,
5, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2
-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [718965/2097152, 718965/
2097152], [-15789523/16777216, -7894761/8388608]]]], [[8, 11, 3, 5, 3], [v = 1
, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/2097152, 
718965/2097152], [-1/16777216, -1/16777216]]]], [[8, 11, 3, 5, 4], [v = 1, And
(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), z = (-x-y)^
(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231
/1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [986845/1048576
, 493423/524288]]]], [[8, 11, 3, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-u
^2 < x,x < -1), And(0 < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576]
, [718965/2097152, 718965/2097152], [2, 2]]]], [[8, 13, 2, 2, 1], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = 0, z < -u], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [0, 0]
, [-3, -3]]]], [[8, 13, 2, 2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u
^2, y = 0, z = -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152
], [-1297479/524288, -2594957/1048576], [0, 0], [-3299097/2097152, -3299097/
2097152]]]], [[8, 13, 2, 2, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2
, y = 0, And(-u < z,z < u)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1297479/524288, -2594957/1048576], [0, 0], [-1/4194304, -1
/4194304]]]], [[8, 13, 2, 2, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^
2, y = 0, z = u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[-1297479/524288, -2594957/1048576], [0, 0], [412387/262144, 1649549/1048576]]
]], [[8, 13, 2, 2, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = 0,
u < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479
/524288, -2594957/1048576], [0, 0], [3, 3]]]], [[9, 3, 1, 9, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, u^2-v^
2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [6, 6], [0, 0]]]], [[9, 4, 9,
6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [2, 2], [0, 0], [0, 0]]]], [[9, 11, 11, 6, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [
-2, -2], [-1, -1]]]], [[9, 11, 11, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)
^(1/2) < u,u < v), 1 < x, y = -x, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-2, -2], [0, 0]]]
], [[9, 11, 11, 6, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
1 < x, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [-2, -2], [1, 1]]]], [[9, 14, 1, 1, 1
], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-3, -3], [-1, -1], [-3, -3]]]], [[9, 14, 1, 1, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [-1, -1], [-2, -2]]]], [[9, 14, 1, 1, 3], [And(1 < v,v < 2^
(1/2)), u = (v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-3, -3], [-1, -1], [0, 0]]]], [[9, 14, 1, 1, 4], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [-1, -1], [2, 2]]]], [[9, 14, 1, 1, 5], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3],
[-1, -1], [3, 3]]]], [[10, 2, 2, 6, 1], [v = 2^(1/2), u = -2, x = -3, y = 4, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [
4, 4], [0, 0]]]], [[10, 3, 10, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x = 1, And(u^2-4 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [-1086217/4194304, -\
1086217/4194304], [0, 0]]]], [[10, 8, 2, 5, 1], [v = 2^(1/2), u = -1, x = -2,
2 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-\
2, -2], [3, 3], [0, 0]]]], [[10, 10, 1, 2, 1], [v = 2^(1/2), u = 0, x < -3, y
= 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-4, -4], [0, 0], [-3, -3]]]], [[10, 10, 1, 2, 2], [v = 2^(1/2), u = 0, x
< -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [-4, -4], [0, 0], [-2, -2]]]], [[10, 10, 1, 2, 3], [v = 2^(1
/2), u = 0, x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [0, 0], [0
, 0]]]], [[10, 10, 1, 2, 4], [v = 2^(1/2), u = 0, x < -3, y = 0, z = (-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [0, 0
], [2, 2]]]], [[10, 10, 1, 2, 5], [v = 2^(1/2), u = 0, x < -3, y = 0, (-x)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4],
[0, 0], [3, 3]]]], [[10, 15, 8, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
= 0, And(u^2-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-275385/1048576
, -275385/1048576], [-2, -2]]]], [[10, 15, 8, 5, 2], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = 0, And(u^2-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [
-275385/1048576, -275385/1048576], [-268683/524288, -1074731/2097152]]]], [[10
, 15, 8, 5, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(u^2-3 < y,y <
0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-275385/1048576
, -275385/1048576], [-1/4194304, -1/4194304]]]], [[10, 15, 8, 5, 4], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x = 0, And(u^2-3 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [0, 0], [-275385/1048576, -275385/1048576], [537365/1048576, 268683/
524288]]]], [[10, 15, 8, 5, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, 
And(u^2-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-275385/1048576
, -275385/1048576], [2, 2]]]], [[10, 17, 7, 4, 1], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), And(0 < x,x < u^2-3), y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/2097152,
505467/2097152], [-126367/524288, -252733/1048576], [-1, -1]]]], [[10, 17, 7,
4, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -x, z =
0], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [-126367/524288, -252733/
1048576], [0, 0]]]], [[10, 17, 7, 4, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(0 < x,x < u^2-3), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911
/1048576], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152
], [-126367/524288, -252733/1048576], [1, 1]]]], [[10, 18, 7, 5, 1], [v = 2^(1
/2), u = 2, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]],
[[11, 1, 4, 4, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [
regular_chain, [[3, 3], [-5, -5], [-1, -1], [0, 0], [-2, -2]]]], [[11, 1, 4, 4
, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [regular_chain
, [[3, 3], [-5, -5], [-1, -1], [0, 0], [-1, -1]]]], [[11, 1, 4, 4, 3], [2^(1/2
) < v, u < -(v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain,
[[3, 3], [-5, -5], [-1, -1], [0, 0], [0, 0]]]], [[11, 1, 4, 4, 4], [2^(1/2) <
v, u < -(v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [-5, -5
], [-1, -1], [0, 0], [1, 1]]]], [[11, 1, 4, 4, 5], [2^(1/2) < v, u < -(v^2+2)^
(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [0,
0], [2, 2]]]], [[11, 6, 7, 3, 1], [2^(1/2) < v, u = -v, 1 < x, And(-1-x < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-5/2, -\
5/2], [-2, -2]]]], [[11, 6, 7, 3, 2], [2^(1/2) < v, u = -v, 1 < x, And(-1-x <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-5/
2, -5/2], [-1482911/2097152, -741455/1048576]]]], [[11, 6, 7, 3, 3], [2^(1/2)
< v, u = -v, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-5/2, -5/2], [0, 0]]]], [[11
, 6, 7, 3, 4], [2^(1/2) < v, u = -v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-5/2, -5/2], [741455/
1048576, 46341/65536]]]], [[11, 6, 7, 3, 5], [2^(1/2) < v, u = -v, 1 < x, And(
-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [2, 2]
, [-5/2, -5/2], [2, 2]]]], [[11, 8, 7, 7, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2)
, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [1/2, 1/2], [1, 1], [0, 0]]]], [[11, 12, 5, 6, 1], [2^(1/2
) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [
[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]],
[[11, 12, 5, 6, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = -x
, z = 0], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2]
, [1/2, 1/2], [0, 0]]]], [[11, 12, 5, 6, 3], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 14, 3, 2, 1], [2^(1/2)
< v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-1/2,
-1/2], [-3, -3]]]], [[11, 14, 3, 2, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-\
2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -\
741455/524288]]]], [[11, 14, 3, 2, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2
< x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[
11, 14, 3, 2, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-\
2, z = 2^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-\
3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[11, 14, 3, 2,
5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-\
1/2, -1/2], [3, 3]]]], [[11, 19, 11, 6, 1], [2^(1/2) < v, And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [2, 2], [-394777/262144, -3158215/2097152]
, [0, 0]]]], [[11, 21, 8, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And(-\
1 < y,y < 0), z = z], [regular_chain, [[3, 3], [5, 5], [1, 1], [-1/2, -1/2], [
0, 0]]]], [[1, 4, 1, 3, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, And(0 <
y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576,
-207243/65536], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[1, 4, 1, 3, 2], [v < -2^(
1/2), u = -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [1/2, 1
/2], [-3315889/2097152, -207243/131072]]]], [[1, 4, 1, 3, 3], [v < -2^(1/2), u
= -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3,
-3], [1/2, 1/2], [0, 0]]]], [[1, 4, 1, 3, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2
), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [-3, -3], [1/2, 1/2], [207243/131072, 
1657945/1048576]]]], [[1, 4, 1, 3, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x <
-2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3, -3], [1/2, 1/2], [3, 3]]]], [[1, 5, 11,
6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = -x, z < 0], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-2, -2],
[-1, -1]]]], [[1, 5, 11, 6, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [2, 2], [-2, -2], [0, 0]]]], [[1, 5, 11, 6, 3], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [2, 2], [-2, -2], [1, 1]]]], [[1, 11, 7, 5, 1]
, [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1),
And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-1/
4, -1/4], [0, 0]]]], [[1, 13, 4, 8, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z = z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1, -1], [395403/262144, 1581613/1048576], [
0, 0]]]], [[1, 17, 7, 2, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And
(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-325091/262144, -1300363/1048576], [-3, -3]]]], [[1, 17, 7,
2, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0),
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-325091/262144,
-1300363/1048576], [-1281417/1048576, -160177/131072]]]], [[1, 17, 7, 2, 3], [
v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^
2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304
], [-325091/262144, -1300363/1048576], [0, 0]]]], [[1, 17, 7, 2, 4], [v < -2^(
1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-\
1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-325091/262144, -1300363/
1048576], [160177/131072, 1281417/1048576]]]], [[1, 17, 7, 2, 5], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-325091/262144, -1300363/
1048576], [3, 3]]]], [[1, 19, 6, 3, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [-653799
/524288, -653799/524288], [-3, -3]]]], [[1, 19, 6, 3, 2], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-
y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0,
0], [-653799/524288, -653799/524288], [-1170947/1048576, -585473/524288]]]], [
[1, 19, 6, 3, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [-653799
/524288, -653799/524288], [0, 0]]]], [[1, 19, 6, 3, 4], [v < -2^(1/2), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^
(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0],
[-653799/524288, -653799/524288], [585473/524288, 1170947/1048576]]]], [[1, 19
, 6, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, 
And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [0, 0], [-653799/524288, -653799/524288], [
3, 3]]]], [[2, 3, 5, 6, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 <
x,x < 0), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [
[2, 3, 5, 6, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y
= -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[2, 3, 5, 6,
3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 5, 4, 9, 1], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = -1, 1 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -\
1], [2, 2], [0, 0]]]], [[2, 6, 5, 6, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1
), y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 8, 6, 5,
1], [v = -2^(1/2), u = -1, x = 0, 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [0, 0], [1, 1], [0, 0]]]], [[2, 13, 10, 7,
1], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 15, 11, 6, 1], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-2, -2]
, [-1, -1]]]], [[2, 15, 11, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 <
x, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [2, 2], [-2, -2], [0, 0]]]], [[2, 15, 11, 6
, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [2, 2], [-2, -2], [1, 1]]]], [[2, 19, 10, 2, 1], [v = -2^(1/2), 2 <
u, x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [6, 6], [-14, -14], [-4, -4]]]], [[2, 19, 10
, 2, 2], [v = -2^(1/2), 2 < u, x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [-14, -14]
, [-2965821/1048576, -11863283/4194304]]]], [[2, 19, 10, 2, 3], [v = -2^(1/2),
2 < u, x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [-14, -14]
, [-3/8388608, -3/8388608]]]], [[2, 19, 10, 2, 4], [v = -2^(1/2), 2 < u, x = u
^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [6, 6], [-14, -14], [741455/262144, 2965821/1048576]]]
], [[2, 19, 10, 2, 5], [v = -2^(1/2), 2 < u, x = u^2-3, y = -2*u^2+4, (u^2-1)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6
], [-14, -14], [4, 4]]]], [[3, 2, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v
^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3, 2, 5, 5, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]
]]], [[3, 2, 5, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 <
x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 2, 5, 5, 4], [And(
-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [
[3, 2, 5, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [1/4, 1
/4], [2, 2]]]], [[3, 8, 1, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2
), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [-3, -\
3]]]], [[3, 8, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2
, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-3, -3], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[3, 8, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [1, 1], [0, 0]]]], [[3, 8, 1, 4, 4], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3
, -3], [1, 1], [741455/524288, 1482911/1048576]]]], [[3, 8, 1, 4, 5], [And(-2^
(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [1, 1], [3, 3]]]], [[3, 9, 11, 7, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-\
1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
0, 0], [2, 2], [-1617841/2097152, -1617841/2097152], [0, 0]]]], [[3, 17, 2, 2,
1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-4478937/524288, -8957873/1048576], [0, 0], [-4, -4]]]], [[3, 17, 2, 2, 2
], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-4478937/524288, -8957873/1048576], [0, 0], [-1532401/524288, -24518415/
8388608]]]], [[3, 17, 2, 2, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288
, -8957873/1048576], [0, 0], [-7/16777216, -7/16777216]]]], [[3, 17, 2, 2, 4],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[-4478937/524288, -8957873/1048576], [0, 0], [3064801/1048576, 1532401/524288]
]]], [[3, 17, 2, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2
+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [0, 0], [4, 4]]
]], [[4, 1, 8, 5, 1], [v = -1, u < -3^(1/2), x = 1, And(-1 < y,y < 0), z = z],
[regular_chain, [[-1, -1], [-3, -3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 7,
4, 2, 1], [v = -1, And(-1 < u,u < 0), x = -1, y = u^2-1, z < -(-u^2+2)^(1/2)],
[regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-3/4, -3/4], [-3, -3]]]],
[[4, 7, 4, 2, 2], [v = -1, And(-1 < u,u < 0), x = -1, y = u^2-1, z = -(-u^2+2)
^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-3/4, -3/4], [-\
10837/8192, -1387135/1048576]]]], [[4, 7, 4, 2, 3], [v = -1, And(-1 < u,u < 0)
, x = -1, y = u^2-1, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-3/4, -3/4], [0, 0]]]], [[4
, 7, 4, 2, 4], [v = -1, And(-1 < u,u < 0), x = -1, y = u^2-1, z = (-u^2+2)^(1/
2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-3/4, -3/4], [1387135
/1048576, 10837/8192]]]], [[4, 7, 4, 2, 5], [v = -1, And(-1 < u,u < 0), x = -1
, y = u^2-1, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1
, -1], [-3/4, -3/4], [3, 3]]]], [[4, 9, 3, 5, 1], [v = -1, And(0 < u,u < 1), 
And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [9/16, 9/16], [-2, -2]]]
], [[4, 9, 3, 5, 2], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 <
y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11
/8, -11/8], [9/16, 9/16], [-3780695/4194304, -7561389/8388608]]]], [[4, 9, 3,
5, 3], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1
/2], [-11/8, -11/8], [9/16, 9/16], [-5/16777216, -5/16777216]]]], [[4, 9, 3, 5
, 4], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [9/
16, 9/16], [945173/1048576, 472587/524288]]]], [[4, 9, 3, 5, 5], [v = -1, And(
0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z],
[regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [9/16, 9/16], [2, 2]]]]
, [[4, 13, 5, 8, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0),
y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1/2, -1/2], [1022093/1048576, 511047/524288], [0, 0]]]], [[4, 15,
3, 4, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1, -1], [3, 3], [-5, -5], [0, 0], [-4, -4]]]], [[4, 15, 3,
4, 2], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [0, 0], [-146543/65536, -2344687/
1048576]]]], [[4, 15, 3, 4, 3], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [3, 3],
[-5, -5], [0, 0], [0, 0]]]], [[4, 15, 3, 4, 4], [v = -1, 3^(1/2) < u, And(-u^2
< x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -\
5], [0, 0], [2344687/1048576, 146543/65536]]]], [[4, 15, 3, 4, 5], [v = -1, 3^
(1/2) < u, And(-u^2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1,
-1], [3, 3], [-5, -5], [0, 0], [4, 4]]]], [[5, 5, 4, 3, 1], [And(-1 < v,v < 0)
, And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1, -1], [-424157/2097152, -424157/2097152], [-3, -3]]]], [[5, 5, 4, 3, 2], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152], [-143717/
131072, -1149735/1048576]]]], [[5, 5, 4, 3, 3], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [-424157/2097152, -424157/2097152], [0, 0]]]], [[5, 5, 4,
3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2
< y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152], [1149735/
1048576, 143717/131072]]]], [[5, 5, 4, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1)
^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[-424157/2097152, -424157/2097152], [3, 3]]]], [[5, 7, 5, 2, 1], [And(-1 < v,v
< 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/8,
-3/8], [-3, -3]]]], [[5, 7, 5, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/8, -3/8], [-146543/
131072, -1172343/1048576]]]], [[5, 7, 5, 2, 3], [And(-1 < v,v < 0), And(v < u,
u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7
/8], [-3/8, -3/8], [0, 0]]]], [[5, 7, 5, 2, 4], [And(-1 < v,v < 0), And(v < u,
u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/8, -3/8], [1172343/
1048576, 146543/131072]]]], [[5, 7, 5, 2, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-3/8, -3/8], [3, 3]]]], [
[5, 8, 6, 3, 1], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y < -1), z < -(
-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-3/2, -3/2],
[-2, -2]]]], [[5, 8, 6, 3, 2], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y
< -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1],
[-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[5, 8, 6, 3, 3], [And(-\
1 < v,v < 0), u = -v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y
-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-3/2, -3/2],
[0, 0]]]], [[5, 8, 6, 3, 4], [And(-1 < v,v < 0), u = -v, x = 1, And(-2 < y,y <
-1), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-3
/2, -3/2], [741455/1048576, 46341/65536]]]], [[5, 8, 6, 3, 5], [And(-1 < v,v <
0), u = -v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [1/2, 1/2], [1, 1], [-3/2, -3/2], [2, 2]]]], [[5, 10, 7, 4, 1], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-\
1/2, -1/2], [-1, -1]]]], [[5, 10, 7, 4, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [1172343
/1048576, 146543/131072], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[5, 10, 7, 4,
3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-\
1/2, -1/2], [1, 1]]]], [[6, 2, 6, 7, 1], [v = 0, u = -2^(1/2), x = 0, 1 < y, z
= z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [2,
2], [0, 0]]]], [[6, 4, 5, 2, 1], [v = 0, u = -1, And(-1 < x,x < 0), y = -x-2,
z < -2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3/2, -3/2],
[-3, -3]]]], [[6, 4, 5, 2, 2], [v = 0, u = -1, And(-1 < x,x < 0), y = -x-2, z
= -2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[6, 4, 5, 2, 3], [v = 0, u = -1, And(-1
< x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0],
[-1, -1], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[6, 4, 5, 2, 4], [v = 0, u =
-1, And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[0, 0], [-1, -\
1], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[6, 4, 5
, 2, 5], [v = 0, u = -1, And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[6,
8, 8, 4, 1], [v = 0, u = 1, x = 1, y = -1, z < 0], [regular_chain, [[0, 0], [1
, 1], [1, 1], [-1, -1], [-1, -1]]]], [[6, 8, 8, 4, 2], [v = 0, u = 1, x = 1, y
= -1, z = 0], [regular_chain, [[0, 0], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[
6, 8, 8, 4, 3], [v = 0, u = 1, x = 1, y = -1, 0 < z], [regular_chain, [[0, 0],
[1, 1], [1, 1], [-1, -1], [1, 1]]]], [[6, 10, 5, 9, 1], [v = 0, u = 2^(1/2), 
And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[7, 4, 6, 2, 1], [And(0 <
v,v < 1), u = -(v^2+1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[
1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [-2, -2], [-3, -3]]]],
[[7, 4, 6, 2, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, y = -2, z = -2
^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0,
0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[7, 4, 6, 2, 3], [And(0
< v,v < 1), u = -(v^2+1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [-2,
-2], [0, 0]]]], [[7, 4, 6, 2, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0
, y = -2, z = 2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343
/1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[7, 4, 6, 2
, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [-2, -\
2], [3, 3]]]], [[7, 6, 5, 5, 1], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1),
And(-x < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/
2], [-1/4, -1/4], [0, 0]]]], [[7, 13, 7, 8, 1], [And(0 < v,v < 1), (v^2+2)^(1/
2) < u, And(0 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2]
, [3, 3], [1/2, 1/2], [29/4, 29/4], [0, 0]]]], [[8, 2, 2, 5, 1], [v = 1, u = -
3^(1/2), x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-3, -3], [7/2, 7/2], [0, 0]]]], [[8, 7, 10, 1, 1]
, [v = 1, And(-1 < u,u < 0), x = 1, y < u^2-3, z < -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-4, -4], [-3, -3]]]], [[8, 7, 
10, 1, 2], [v = 1, And(-1 < u,u < 0), x = 1, y < u^2-3, z = -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 7, 10, 1, 3], [v = 1, And(-1 < u,u < 0), x = 1, y <
u^2-3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [-1/
2, -1/2], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[8, 7, 10, 1, 4], [v
= 1, And(-1 < u,u < 0), x = 1, y < u^2-3, z = (-y-1)^(1/2)], [regular_chain, [
[1, 1], [-1/2, -1/2], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [
[8, 7, 10, 1, 5], [v = 1, And(-1 < u,u < 0), x = 1, y < u^2-3, (-y-1)^(1/2) <
z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-4, -4], [3, 3]]]], [[8, 9
, 8, 7, 1], [v = 1, And(0 < u,u < 1), x = 0, 0 < y, z = z], [regular_chain, [[
1, 1], [1/2, 1/2], [0, 0], [1, 1], [0, 0]]]], [[8, 13, 11, 5, 1], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-x < y,y < u^2-x-2), z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-7392997/
4194304, -7392997/4194304], [0, 0]]]], [[8, 15, 8, 4, 1], [v = 1, 3^(1/2) < u,
x = 1, y = -1, z < 0], [regular_chain, [[1, 1], [3, 3], [1, 1], [-1, -1], [-1,
-1]]]], [[8, 15, 8, 4, 2], [v = 1, 3^(1/2) < u, x = 1, y = -1, z = 0], [
regular_chain, [[1, 1], [3, 3], [1, 1], [-1, -1], [0, 0]]]], [[8, 15, 8, 4, 3]
, [v = 1, 3^(1/2) < u, x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [3, 3],
[1, 1], [-1, -1], [1, 1]]]], [[9, 5, 10, 2, 1], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2587389/1048576, -646847/262144], [-3, -3]]]], [[9
, 5, 10, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1
, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-2587389/
1048576, -646847/262144], [-1270261/1048576, -317565/262144]]]], [[9, 5, 10, 2
, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2
+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1
], [-2587389/1048576, -646847/262144], [0, 0]]]], [[9, 5, 10, 2, 4], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1, 1], [-2587389/1048576, -646847/262144]
, [317565/262144, 1270261/1048576]]]], [[9, 5, 10, 2, 5], [And(1 < v,v < 2^(1/
2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [1, 1], [-2587389/1048576, -646847/262144], [3, 3]]]], [[9,
7, 10, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1,
y = -1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [1, 1], [-1, -1], [-1, -1]]]], [[9, 7, 10, 6, 2],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, z = 0]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1, -1], [0, 0]]]], [[9, 7, 10, 6, 3], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1, -1], [1, 1]]]], [[9, 9, 3, 6, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [-1812519/1048576, -1812519/1048576], [1812519/1048576, 1812519/1048576], [
-1, -1]]]], [[9, 9, 3, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,
u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [1812519/1048576, 1812519/1048576], [0, 0]]]], [[9, 9, 3, 6, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2
-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [1812519/1048576, 
1812519/1048576], [1, 1]]]], [[9, 11, 2, 3, 1], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z < -(-u^
2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [
1196409/2097152, 1196409/2097152], [-3, -3]]]], [[9, 11, 2, 3, 2], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -2*u^
2+2*v^2), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -\
3293561/2097152], [1196409/2097152, 1196409/2097152], [-1048577/1048576, -1]]]
], [[9, 11, 2, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-
u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [
1196409/2097152, 1196409/2097152], [0, 0]]]], [[9, 11, 2, 3, 4], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+
2*v^2), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/
2097152], [1196409/2097152, 1196409/2097152], [1, 1048577/1048576]]]], [[9, 11
, 2, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2
-1, And(0 < y,y < -2*u^2+2*v^2), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781
/1048576, -3293561/2097152], [1196409/2097152, 1196409/2097152], [3, 3]]]], [[
9, 16, 7, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1),
y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 1, 4, 5, 1], [v
= 2^(1/2), u < -2, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [1/2, 1/2], [-2, -2]]
]], [[10, 1, 4, 5, 2], [v = 2^(1/2), u < -2, x = -1, And(0 < y,y < 1), z = -(1
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1,
-1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[10, 1, 4, 5, 3], [v
= 2^(1/2), u < -2, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1],
[1/2, 1/2], [0, 0]]]], [[10, 1, 4, 5, 4], [v = 2^(1/2), u < -2, x = -1, And(0
< y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[10, 1,
4, 5, 5], [v = 2^(1/2), u < -2, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[10, 5, 3, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(
-u^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [2044189/2097152, 2044189/
2097152], [-2, -2]]]], [[10, 5, 3, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(-u^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [2044189/2097152, 2044189/
2097152], [-1074731/2097152, -537365/1048576]]]], [[10, 5, 3, 7, 3], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [2044189/2097152, 2044189/2097152], [0, 0]]]], [[10, 5, 3, 7
, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(u^2-
x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [2044189/2097152, 2044189/2097152], [537365/1048576, 268683/524288]]
]], [[10, 5, 3, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,
x < -1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [2044189/2097152, 2044189/2097152], [2, 2]]]], [[
10, 7, 4, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = u^2-2, z < -(-u
^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [-3
, -3]]]], [[10, 7, 4, 2, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = u^2
-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [-1, -1], [-1138531/2097152, -569265/
1048576], [-1302471/1048576, -651235/524288]]]], [[10, 7, 4, 2, 3], [v = 2^(1/
2), And(-v < u,u < -1), x = -1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [0,
0]]]], [[10, 7, 4, 2, 4], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = u^2-2,
z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-1138531/2097152, -569265/
1048576], [651235/524288, 1302471/1048576]]]], [[10, 7, 4, 2, 5], [v = 2^(1/2)
, And(-v < u,u < -1), x = -1, y = u^2-2, (-u^2+3)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [-1138531/2097152, -569265/1048576], [3, 3]]]], [[10, 12, 7, 3, 1], [v =
2^(1/2), u = 1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [-3/2, -\
3/2], [-2, -2]]]], [[10, 12, 7, 3, 2], [v = 2^(1/2), u = 1, And(0 < x,x < 1),
And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[10, 12, 7,
3, 3], [v = 2^(1/2), u = 1, And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[10, 12, 7, 3, 4], [v
= 2^(1/2), u = 1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [-3/2, -\
3/2], [1, 1]]]], [[10, 12, 7, 3, 5], [v = 2^(1/2), u = 1, And(0 < x,x < 1), 
And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[10, 14, 5, 7,
1], [v = 2^(1/2), u = v, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2],
[1, 1], [0, 0]]]], [[11, 2, 2, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3
, And(3 < y,y < 4), z = z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [7/2, 7/2], [0, 0]]]], [[11, 3, 10, 6, 1], [2^(1/2
) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = z
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
132633/262144, -1061063/2097152], [0, 0]]]], [[11, 9, 8, 5, 1], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,
y < 0), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608
], [533035/1048576, 133259/262144], [-1066071/4194304, -1066071/4194304], [0,
0]]]], [[11, 11, 5, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1
/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [0,
0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[11, 11, 5, 4, 2], [2^(1/2) < v, And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2
)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [0, 0], [-1482911/2097152,
-741455/1048576]]]], [[11, 11, 5, 4, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/
2))], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11,
11, 5, 4, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1
< x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1
/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 11, 5, 4, 5], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(
1/2) < z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [0, 0], [2, 2]]]], [
[11, 15, 4, 8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = 1,
z < 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1],
[1, 1], [-1, -1]]]], [[11, 15, 4, 8, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-1, -1], [1, 1], [0, 0]]]], [[11, 15, 4, 8, 3], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = 1, 0 < z], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [-1, -1], [1, 1], [1, 1]]]], [[11, 17,
5, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1
), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-1552149
/4194304, -1552149/4194304], [-3, -3]]]], [[11, 17, 5, 3, 2], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-1552149/4194304, -1552149/
4194304], [-1111369/1048576, -138921/131072]]]], [[11, 17, 5, 3, 3], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-\
1552149/4194304, -1552149/4194304], [0, 0]]]], [[11, 17, 5, 3, 4], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 <
y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-1552149/4194304, -1552149/
4194304], [138921/131072, 1111369/1048576]]]], [[11, 17, 5, 3, 5], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 <
y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-1552149/4194304, -1552149/
4194304], [3, 3]]]], [[1, 1, 6, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
0, y = 0, z < 0], [regular_chain, [[-3, -3], [-5, -5], [0, 0], [0, 0], [-1, -1
]]]], [[1, 1, 6, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, y = 0, z = 0
], [regular_chain, [[-3, -3], [-5, -5], [0, 0], [0, 0], [0, 0]]]], [[1, 1, 6,
4, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain
, [[-3, -3], [-5, -5], [0, 0], [0, 0], [1, 1]]]], [[1, 3, 3, 5, 1], [v < -2^(1
/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576,
915943/1048576], [-2, -2]]]], [[1, 3, 3, 5, 2], [v < -2^(1/2), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/1048576],
[-7840147/8388608, -3920073/4194304]]]], [[1, 3, 3, 5, 3], [v < -2^(1/2), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [
915943/1048576, 915943/1048576], [-1/8388608, -1/8388608]]]], [[1, 3, 3, 5, 4]
, [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [915943/
1048576, 915943/1048576], [490009/524288, 980019/1048576]]]], [[1, 3, 3, 5, 5]
, [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [915943/
1048576, 915943/1048576], [2, 2]]]], [[1, 9, 1, 4, 1], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [391029/262144, 1564117/1048576], [-3, -3]]]], [[1, 9, 1,
4, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-\
1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [391029/262144, 1564117/
1048576], [-3321417/2097152, -415177/262144]]]], [[1, 9, 1, 4, 3], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1
, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [-4, -4], [391029/262144, 1564117
/1048576], [0, 0]]]], [[1, 9, 1, 4, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
391029/262144, 1564117/1048576], [415177/262144, 1660709/1048576]]]], [[1, 9,
1, 4, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v
^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [391029/262144, 1564117/
1048576], [3, 3]]]], [[1, 10, 7, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-2, -2], [-3, -3]]]],
[[1, 10, 7, 3, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(-x
-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/
524288]]]], [[1, 10, 7, 3, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x
< 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-\
2, -2], [0, 0]]]], [[1, 10, 7, 3, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0
< x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-2, -2], [642119/524288,
1284239/1048576]]]], [[1, 10, 7, 3, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-2, -2], [3, 3]]]], [[
1, 14, 5, 6, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1
/2], [1/2, 1/2], [-1, -1]]]], [[1, 14, 5, 6, 2], [v < -2^(1/2), u = (v^2-1)^(1
/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 14, 5, 6,
3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [1/2
, 1/2], [1, 1]]]], [[1, 16, 4, 3, 1], [v < -2^(1/2), u = -v, x = 0, And(-1 < y
,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-1/2, -\
1/2], [-2, -2]]]], [[1, 16, 4, 3, 2], [v < -2^(1/2), u = -v, x = 0, And(-1 < y
,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-1/2, -\
1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 16, 4, 3, 3], [v < -2^(1/2)
, u = -v, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [-1/2, -1/2], [0, 0]]]], [[1, 16, 4,
3, 4], [v < -2^(1/2), u = -v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [-1/2, -1/2], [741455/1048576, 46341
/65536]]]], [[1, 16, 4, 3, 5], [v < -2^(1/2), u = -v, x = 0, And(-1 < y,y < 0)
, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-1/2, -1/2], [2
, 2]]]], [[1, 21, 10, 5, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1,
And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [5, 5], [15, 15]
, [-15/2, -15/2], [0, 0]]]], [[2, 2, 5, 4, 1], [v = -2^(1/2), u = -2, And(-1 <
x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2, 2, 5, 4, 2], [v =
-2^(1/2), u = -2, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [0, 0], [-1482911
/2097152, -741455/1048576]]]], [[2, 2, 5, 4, 3], [v = -2^(1/2), u = -2, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [0, 0], [0, 0]]]], [
[2, 2, 5, 4, 4], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y = 0, z = (-x)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/
2], [0, 0], [741455/1048576, 46341/65536]]]], [[2, 2, 5, 4, 5], [v = -2^(1/2),
u = -2, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2, 9, 7
, 6, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = 0, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/
8], [0, 0], [0, 0]]]], [[2, 11, 4, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x =
-1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 11, 4, 5,
2], [v = -2^(1/2), And(0 < u,u < 1), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 11, 4, 5, 3], [v = -2
^(1/2), And(0 < u,u < 1), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-1, -1], [1/2, 1/2], [0, 0]]]], [[2, 11, 4, 5, 4], [v = -2^(1/2), And(0 < u,u
< 1), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[2, 11, 4, 5, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -1, 
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 17, 2, 4, 1]
, [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = u^2-1, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [2602619/1048576, 650655/262144]
, [-1, -1]]]], [[2, 17, 2, 4, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -
u^2+1, y = u^2-1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [
2602619/1048576, 650655/262144], [0, 0]]]], [[2, 17, 2, 4, 3], [v = -2^(1/2),
And(3^(1/2) < u,u < 2), x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-650655
/262144, -2602619/1048576], [2602619/1048576, 650655/262144], [1, 1]]]], [[2,
18, 8, 3, 1], [v = -2^(1/2), u = 2, x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [-5/
2, -5/2], [-3, -3]]]], [[2, 18, 8, 3, 2], [v = -2^(1/2), u = 2, x = 1, And(-4
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1, 1], [-5/2, -5/2], [-1284239/1048576, -642119/524288]]]],
[[2, 18, 8, 3, 3], [v = -2^(1/2), u = 2, x = 1, And(-4 < y,y < -1), And(-(-y-1
)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1, 1], [-5/2, -5/2], [0, 0]]]], [[2, 18, 8, 3, 4], [v = -2^(
1/2), u = 2, x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [1, 1], [-5/2, -5/2], [642119/524288
, 1284239/1048576]]]], [[2, 18, 8, 3, 5], [v = -2^(1/2), u = 2, x = 1, And(-4
< y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1, 1], [-5/2, -5/2], [3, 3]]]], [[3, 3, 5, 7, 1], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0)
, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [
1550541/2097152, 1550541/2097152], [0, 0]]]], [[3, 5, 4, 6, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z < -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1, -1], [122559/262144, 490237/1048576], [-2, -2
]]]], [[3, 5, 4, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [
122559/262144, 490237/1048576], [-1530309/2097152, -382577/524288]]]], [[3, 5,
4, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y
= u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/262144, 490237/1048576], [0, 0]]]], [[3, 5
, 4, 6, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1,
y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [122559/
262144, 490237/1048576], [382577/524288, 765155/1048576]]]], [[3, 5, 4, 6, 5],
[And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-1, -1], [122559/262144, 490237/
1048576], [2, 2]]]], [[3, 11, 2, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -
(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [
1421595/1048576, 1421595/1048576], [-2, -2]]]], [[3, 11, 2, 5, 2], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2
< y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/
1048576, -3293561/2097152], [1421595/1048576, 1421595/1048576], [-485927/
1048576, -242963/524288]]]], [[3, 11, 2, 5, 3], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1
), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
1646781/1048576, -3293561/2097152], [1421595/1048576, 1421595/1048576], [0, 0]
]]], [[3, 11, 2, 5, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-1646781/1048576, -3293561/2097152], [1421595/1048576, 
1421595/1048576], [242963/524288, 485927/1048576]]]], [[3, 11, 2, 5, 5], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2
+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
1646781/1048576, -3293561/2097152], [1421595/1048576, 1421595/1048576], [2, 2]
]]], [[3, 13, 3, 2, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-245119/1048576, -\
122559/524288], [-3, -3]]]], [[3, 13, 3, 2, 2], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-\
245119/1048576, -122559/524288], [-1270261/1048576, -317565/262144]]]], [[3, 
13, 3, 2, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u
^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-245119/
1048576, -122559/524288], [0, 0]]]], [[3, 13, 3, 2, 4], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x
-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/
2097152], [-245119/1048576, -122559/524288], [317565/262144, 1270261/1048576]]
]], [[3, 13, 3, 2, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-245119/1048576, -\
122559/524288], [3, 3]]]], [[3, 14, 3, 7, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [3
, 3], [0, 0]]]], [[3, 16, 1, 9, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/
2), x < -3, 1-x < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [6, 6], [0, 0]]]], [[4, 4
, 1, 7, 1], [v = -1, u = -2^(1/2), x < -2, -x < y, z = z], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [4, 4], [0, 0]]]], [[4,
5, 11, 6, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, y = -x, z < 0], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-2, -\
2], [-1, -1]]]], [[4, 5, 11, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x,
y = -x, z = 0], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [2, 2], [-2, -2], [0, 0]]]], [[4, 5, 11, 6, 3], [v = -1, And(-2^(1/2) < u,u
< -1), 1 < x, y = -x, 0 < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[4, 10, 4, 1, 1], [v = -1, u =
1, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [0, 0],
[-2, -2], [-3, -3]]]], [[4, 10, 4, 1, 2], [v = -1, u = 1, x = 0, y < -1, z = -
(-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-2, -2], [-1482911/
1048576, -741455/524288]]]], [[4, 10, 4, 1, 3], [v = -1, u = 1, x = 0, y < -1,
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [0, 0
], [-2, -2], [0, 0]]]], [[4, 10, 4, 1, 4], [v = -1, u = 1, x = 0, y < -1, z =
(-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[4, 10, 4, 1, 5], [v = -1, u = 1, x = 0, y < -1,
(-y)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-2, -2], [3, 3]]]
], [[4, 12, 4, 5, 1], [v = -1, u = 2^(1/2), x = -1, And(0 < y,y < 1), z < -(1-
y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -\
1], [1/2, 1/2], [-2, -2]]]], [[4, 12, 4, 5, 2], [v = -1, u = 2^(1/2), x = -1,
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288
, 1482911/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]
]], [[4, 12, 4, 5, 3], [v = -1, u = 2^(1/2), x = -1, And(0 < y,y < 1), And(-(1
-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[4, 12, 4, 5, 4], [v = -1,
u = 2^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1,
-1], [741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [741455/1048576,
46341/65536]]]], [[4, 12, 4, 5, 5], [v = -1, u = 2^(1/2), x = -1, And(0 < y,y
< 1), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[5, 2, 5, 4, 1], [And(-1 < v,v < 0
), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [0, 0], [-2, -2]]]],
[[5, 2, 5, 4, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/
2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[5, 2, 5, 4, 3], [And(-1
< v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,
z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [
0, 0], [0, 0]]]], [[5, 2, 5, 4, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/
2, -3/2], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[5, 2, 5, 4
, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [0, 0],
[2, 2]]]], [[5, 4, 2, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, 2
< y, z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576]
, [-2, -2], [3, 3], [0, 0]]]], [[5, 11, 7, 8, 1], [And(-1 < v,v < 0), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z
= z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/
1048576, 243021/1048576], [243021/1048576, 121511/524288], [0, 0]]]], [[5, 13,
4, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, And(1 < y,y < u^2-v^2
), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [39/8, 39/8], [0,
0]]]], [[6, 5, 6, 3, 1], [v = 0, And(-1 < u,u < 0), x = u^2-1, And(-2*u^2 < y,
y < 0), z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4,
-3/4], [-1/4, -1/4], [-2, -2]]]], [[6, 5, 6, 3, 2], [v = 0, And(-1 < u,u < 0),
x = u^2-1, And(-2*u^2 < y,y < 0), z = -(-u^2-y+1)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-3/4, -3/4], [-1/4, -1/4], [-1, -1]]]], [[6, 5, 6, 3, 3], [
v = 0, And(-1 < u,u < 0), x = u^2-1, And(-2*u^2 < y,y < 0), And(-(-u^2-y+1)^(1
/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4,
-3/4], [-1/4, -1/4], [0, 0]]]], [[6, 5, 6, 3, 4], [v = 0, And(-1 < u,u < 0), x
= u^2-1, And(-2*u^2 < y,y < 0), z = (-u^2-y+1)^(1/2)], [regular_chain, [[0, 0]
, [-1/2, -1/2], [-3/4, -3/4], [-1/4, -1/4], [1, 1]]]], [[6, 5, 6, 3, 5], [v =
0, And(-1 < u,u < 0), x = u^2-1, And(-2*u^2 < y,y < 0), (-u^2-y+1)^(1/2) < z],
[regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-1/4, -1/4], [2, 2]]]],
[[6, 7, 6, 7, 1], [v = 0, And(0 < u,u < 1), x = u^2-1, -u^2+1 < y, z = z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [2, 2], [0, 0]]]], [[6, 11,
5, 9, 1], [v = 0, 2^(1/2) < u, And(-1 < x,x < 0), u^2-x-1 < y, z = z], [
regular_chain, [[0, 0], [3, 3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[7, 1, 11,
8, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [9, 9], [0, 0], [0, 0]]]], [[7, 7, 8, 2,
1], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-5/4, -5/4], [-3, -3
]]]], [[7, 7, 8, 2, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, y = u^2-v
^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [
-5/4, -5/4], [-146543/131072, -1172343/1048576]]]], [[7, 7, 8, 2, 3], [And(0 <
v,v < 1), And(-v < u,u < v), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z
,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-5/4,
-5/4], [0, 0]]]], [[7, 7, 8, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), x =
0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0]
, [0, 0], [-5/4, -5/4], [1172343/1048576, 146543/131072]]]], [[7, 7, 8, 2, 5],
[And(0 < v,v < 1), And(-v < u,u < v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-5/4, -5/4], [3, 3]]]], [[
7, 9, 8, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = 0,
z < 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0
], [0, 0], [-1, -1]]]], [[7, 9, 8, 6, 2], [And(0 < v,v < 1), And(v < u,u < (v^
2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [0, 0], [0, 0]]]], [[7, 9, 8, 6, 3], [And(0
< v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain
, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [0, 0], [1, 1]]]],
[[7, 11, 1, 5, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [2902707
/1048576, 2902707/1048576], [-3, -3]]]], [[7, 11, 1, 5, 2], [And(0 < v,v < 1),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [2902707/1048576, 2902707/1048576], [-1163761/
1048576, -72735/65536]]]], [[7, 11, 1, 5, 3], [And(0 < v,v < 1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-4, -4], [2902707/1048576, 2902707/1048576], [0, 0]]]
], [[7, 11, 1, 5, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [2902707
/1048576, 2902707/1048576], [72735/65536, 1163761/1048576]]]], [[7, 11, 1, 5,
5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-\
1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [-4, -4], [2902707/1048576, 2902707/1048576
], [3, 3]]]], [[7, 12, 7, 8, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 <
x,x < 1), y = 1-x, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2]
, [1/2, 1/2], [0, 0]]]], [[8, 4, 8, 5, 1], [v = 1, u = -2^(1/2), x = 1, And(-1
< y,y < 0), z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288
], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 6, 7, 6, 1], [v = 1, u = -1, 1 < x, y
= 0, z = z], [regular_chain, [[1, 1], [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[8
, 11, 3, 4, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [
-1288231/1048576, -1288231/1048576], [0, 0], [-3, -3]]]], [[8, 11, 3, 4, 2], [
v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576
, -1288231/1048576], [0, 0], [-1162243/1048576, -581121/524288]]]], [[8, 11, 3
, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = 0, And(-(-x
)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [0, 0]]]], [[8
, 11, 3, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [0, 0], [581121/524288, 1162243/1048576]]]
], [[8, 11, 3, 4, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y
= 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [3, 3]]]], [[8, 13, 2,
5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(u^2 < y,y < 2*u^2-2
), z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-\
1297479/524288, -2594957/1048576], [5687721/2097152, 5687721/2097152], [0, 0]]
]], [[9, 3, 1, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [4, 4],
[-1, -1]]]], [[9, 3, 1, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4
, -4], [4, 4], [0, 0]]]], [[9, 3, 1, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [4, 4], [1, 1]]]], [[9, 4, 9, 7, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2],
[1, 1], [0, 0]]]], [[9, 11, 11, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-4644675/2097152, -4644675/2097152], [-2, -2]]]], [[9, 11,
11, 5, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-
u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-4644675/
2097152, -4644675/2097152], [-485927/1048576, -242963/524288]]]], [[9, 11, 11,
5, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+
v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[-4644675/2097152, -4644675/2097152], [0, 0]]]], [[9, 11, 11, 5, 4], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [-4644675/2097152, -4644675/2097152],
[242963/524288, 485927/1048576]]]], [[9, 11, 11, 5, 5], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [2, 2], [-4644675/2097152, -4644675/2097152], [2, 2]
]]], [[9, 14, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y
= -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [1, 1], [-3, -3]]]], [[9, 14, 1, 4,
2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[9,
14, 1, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = -x-2, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [-3, -3], [1, 1], [0, 0]]]], [[9,
14, 1, 4, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = -x-2, z
= 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [1, 1], [741455/524288, 1482911/1048576]]]]
, [[9, 14, 1, 4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = -
x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [1, 1], [3, 3]]]], [[10, 2, 2, 3, 1
], [v = 2^(1/2), u = -2, x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [3/2, 3/
2], [-3, -3]]]], [[10, 2, 2, 3, 2], [v = 2^(1/2), u = -2, x = -3, And(0 < y,y
< 3), z = -(3-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
2, -2], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[10, 2,
2, 3, 3], [v = 2^(1/2), u = -2, x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z
,z < (3-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2
], [-3, -3], [3/2, 3/2], [0, 0]]]], [[10, 2, 2, 3, 4], [v = 2^(1/2), u = -2, x
= -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/
1048576]]]], [[10, 2, 2, 3, 5], [v = 2^(1/2), u = -2, x = -3, And(0 < y,y < 3)
, (3-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2
], [-3, -3], [3/2, 3/2], [3, 3]]]], [[10, 3, 10, 8, 1], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [0, 0], [0, 0]
]]], [[10, 8, 2, 4, 1], [v = 2^(1/2), u = -1, x = -2, y = 2, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [2, 2],
[-1, -1]]]], [[10, 8, 2, 4, 2], [v = 2^(1/2), u = -1, x = -2, y = 2, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [2, 2],
[0, 0]]]], [[10, 8, 2, 4, 3], [v = 2^(1/2), u = -1, x = -2, y = 2, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [2, 2],
[1, 1]]]], [[10, 10, 1, 5, 1], [v = 2^(1/2), u = 0, x < -3, And(-x-3 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[10, 10, 1, 5, 2], [v = 2^(1/2), u = 0
, x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [5/2, 5/2], [-1284239/1048576, -\
642119/524288]]]], [[10, 10, 1, 5, 3], [v = 2^(1/2), u = 0, x < -3, And(-x-3 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [5/2, 5/2], [0, 0]]]], [[10, 10, 1
, 5, 4], [v = 2^(1/2), u = 0, x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [5/2, 5/2
], [642119/524288, 1284239/1048576]]]], [[10, 10, 1, 5, 5], [v = 2^(1/2), u =
0, x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [5/2, 5/2], [3, 3]]]], [[10, 15, 8
, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y = -u^2+1, z < -(u^2-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [0, 0], [-773191/524288, -1546381/1048576], [-3, -3]]]], [[
10, 15, 8, 2, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y = -u^2+1, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [0, 0], [-773191/524288, -1546381/1048576], [-\
1273381/1048576, -318345/262144]]]], [[10, 15, 8, 2, 3], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [0, 0], [-773191/524288, -1546381/1048576], [0, 0]]]], [[10, 15, 8,
2, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y = -u^2+1, z = (u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [0, 0], [-773191/524288, -1546381/1048576], [318345/262144,
1273381/1048576]]]], [[10, 15, 8, 2, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-773191/524288,
-1546381/1048576], [3, 3]]]], [[10, 17, 7, 5, 1], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), And(0 < x,x < u^2-3), And(-x < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/
2097152, 505467/2097152], [-252733/2097152, -252733/2097152], [0, 0]]]], [[10,
18, 7, 2, 1], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y = -x-3, z < -3^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-7/2,
-7/2], [-3, -3]]]], [[10, 18, 7, 2, 2], [v = 2^(1/2), u = 2, And(0 < x,x < 1),
y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2
, 2], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[10,
18, 7, 2, 3], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y = -x-3, And(-3^(1/2) <
z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1
/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[10, 18, 7, 2, 4], [v =
2^(1/2), u = 2, And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-7/2, -7/2], [908093/
524288, 1816187/1048576]]]], [[10, 18, 7, 2, 5], [v = 2^(1/2), u = 2, And(0 <
x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[11, 1, 4, 5, 1], [2^(
1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 1,
4, 5, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-
y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[11, 1, 4, 5, 3], [2^(1/2) < v, u < -(v^2+2)^(1
/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11, 1, 4,
5, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(
1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[11, 1, 4, 5, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2),
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5],
[-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 6, 7, 2, 1], [2^(1/2) < v, u = -v, 1 <
x, y = -1-x, z < -1], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3], [-2
, -2]]]], [[11, 6, 7, 2, 2], [2^(1/2) < v, u = -v, 1 < x, y = -1-x, z = -1], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3], [-1, -1]]]], [[11, 6, 7, 2
, 3], [2^(1/2) < v, u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3], [0, 0]]]], [[11, 6, 7, 2,
4], [2^(1/2) < v, u = -v, 1 < x, y = -1-x, z = 1], [regular_chain, [[3, 3], [-\
3, -3], [2, 2], [-3, -3], [1, 1]]]], [[11, 6, 7, 2, 5], [2^(1/2) < v, u = -v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-3, -3],
[2, 2]]]], [[11, 8, 8, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(-3
< y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [1, 1], [-2, -2], [-2, -2]]]], [[11, 8, 8, 3, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-2, -2
], [-1, -1]]]], [[11, 8, 8, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, 
And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-2, -2], [0, 0]]]], [
[11, 8, 8, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, And(-3 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1, 1], [-2, -2], [1, 1]]]], [[11, 8, 8, 3, 5], [2^(1/2) < v, u = -(
v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[
3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-2, -2], [2, 2]]]], [[
11, 12, 5, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[11, 12, 5, 3, 2], [2^(
1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2
], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[11, 12, 5, 3, 3], [2^(1
/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[11, 12, 5, 3, 4], [2^(1/
2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^
(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2],
[-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[11, 12, 5, 3, 5], [2^(1/2) <
v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z
], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-5/4
, -5/4], [3, 3]]]], [[11, 14, 3, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-\
2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]],
[[11, 14, 3, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-
x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]
]], [[11, 14, 3, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), 
And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]
]], [[11, 14, 3, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), 
And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/
8192]]]], [[11, 14, 3, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x <
-1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[11, 19, 11,
5, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-x <
y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [2, 2], [-919065/524288, -919065/524288], [0, 0]]]], [[11, 21, 8, 8
, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y = u^2-v^2-2, z = z], [
regular_chain, [[3, 3], [5, 5], [1, 1], [14, 14], [0, 0]]]], [[1, 4, 1, 6, 1],
[v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[-\
3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [3, 3], [-1, -1]]]], [[1,
4, 1, 6, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y = -x, z = 0], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [3, 3],
[0, 0]]]], [[1, 4, 1, 6, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, y = -x
, 0 < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -\
3], [3, 3], [1, 1]]]], [[1, 5, 11, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) <
u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-9450993/
4194304, -9450993/4194304], [-2, -2]]]], [[1, 5, 11, 5, 2], [v < -2^(1/2), And
(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-\
9450993/4194304, -9450993/4194304], [-527729/1048576, -1055457/2097152]]]], [[
1, 5, 11, 5, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-
v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-9450993/4194304, -\
9450993/4194304], [-1/4194304, -1/4194304]]]], [[1, 5, 11, 5, 4], [v < -2^(1/2
), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2]
, [-9450993/4194304, -9450993/4194304], [32983/65536, 527729/1048576]]]], [[1,
5, 11, 5, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2
-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [2, 2], [-9450993/4194304, -9450993/4194304], [2, 2]]
]], [[1, 11, 7, 6, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1
/2], [0, 0], [0, 0]]]], [[1, 13, 4, 5, 1], [v < -2^(1/2), And((v^2-2)^(1/2) <
u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [1/2, 1/
2], [-2, -2]]]], [[1, 13, 4, 5, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (
v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[
-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[1, 13, 4, 5, 3], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
1, -1], [1/2, 1/2], [0, 0]]]], [[1, 13, 4, 5, 4], [v < -2^(1/2), And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [1/2, 1/
2], [741455/1048576, 46341/65536]]]], [[1, 13, 4, 5, 5], [v < -2^(1/2), And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [1/2,
1/2], [2, 2]]]], [[1, 17, 7, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2
)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304,
-1062385/4194304], [-66399/524288, -66399/524288], [-2, -2]]]], [[1, 17, 7, 5,
2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), 
And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/
524288, -66399/524288], [-1292667/2097152, -646333/1048576]]]], [[1, 17, 7, 5,
3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), 
And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-66399/524288, -66399/524288], [0, 0]]]], [[1, 17, 7, 5, 4]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(
u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/524288,
-66399/524288], [646333/1048576, 323167/524288]]]], [[1, 17, 7, 5, 5], [v < -2
^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x
-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/524288, -66399/
524288], [2, 2]]]], [[1, 19, 6, 2, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [-\
2615197/1048576, -653799/262144], [-3, -3]]]], [[1, 19, 6, 2, 2], [v < -2^(1/2
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[0, 0], [-2615197/1048576, -653799/262144], [-1655969/1048576, -3311937/
2097152]]]], [[1, 19, 6, 2, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(
1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0],
[-2615197/1048576, -653799/262144], [-1/4194304, -1/4194304]]]], [[1, 19, 6, 2
, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2
+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [0, 0], [-2615197/1048576, -653799/262144], [51749/32768, 
1655969/1048576]]]], [[1, 19, 6, 2, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [-\
2615197/1048576, -653799/262144], [3, 3]]]], [[2, 3, 5, 7, 1], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(-x < y,y < u^2-x-3), z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1/2, -1/2], [1554043/2097152, 1554043/2097152], [0, 0]]]],
[[2, 5, 4, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = u^2-2, z
< -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [248903/524288, 497807/1048576],
[-2, -2]]]], [[2, 5, 4, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1,
y = u^2-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [248903/524288, 
497807/1048576], [-379975/524288, -1519899/2097152]]]], [[2, 5, 4, 6, 3], [v =
-2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,
z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [248903/524288, 497807/1048576],
[-1/4194304, -1/4194304]]]], [[2, 5, 4, 6, 4], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x = -1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [
248903/524288, 497807/1048576], [759949/1048576, 379975/524288]]]], [[2, 5, 4,
6, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = u^2-2, (-u^2+3)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1, -1], [248903/524288, 497807/1048576], [2, 2]]
]], [[2, 6, 6, 2, 1], [v = -2^(1/2), u = v, x = 1, y = -2, z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [-2, -2], [-2, -2]]]], [[2, 6, 6, 2, 2], [v = -2^(1/2), u =
v, x = 1, y = -2, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-1, -1]]]], [[2, 6, 6
, 2, 3], [v = -2^(1/2), u = v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [-2, -2], [0, 0]]]], [[2, 6, 6, 2, 4], [v = -2^(1/2), u = v,
x = 1, y = -2, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [1, 1], [-2, -2], [1, 1]]]], [[2, 6, 6, 2, 5
], [v = -2^(1/2), u = v, x = 1, y = -2, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2]
, [2, 2]]]], [[2, 8, 6, 4, 1], [v = -2^(1/2), u = -1, x = 0, y = 0, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [0, 0],
[-1, -1]]]], [[2, 8, 6, 4, 2], [v = -2^(1/2), u = -1, x = 0, y = 0, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [0, 0],
[0, 0]]]], [[2, 8, 6, 4, 3], [v = -2^(1/2), u = -1, x = 0, y = 0, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [0, 0],
[1, 1]]]], [[2, 13, 10, 8, 1], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y = 0,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576,
1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[2, 15, 11, 3, 1], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [2, 2], [-12582911/4194304, -12582911/4194304], [-2, -2]]]],
[[2, 15, 11, 3, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, And(-u^2-x+
1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-12582911/4194304
, -12582911/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[2
, 15, 11, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, And(-u^2-x+1 <
y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2],
[-12582911/4194304, -12582911/4194304], [-3670015/8796093022208, -3670015/
8796093022208]]]], [[2, 15, 11, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
1 < x, And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2],
[-12582911/4194304, -12582911/4194304], [1048575/1048576, 1]]]], [[2, 15, 11,
3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < u^2
-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [2, 2], [-12582911/4194304, -12582911/
4194304], [2, 2]]]], [[2, 19, 10, 5, 1], [v = -2^(1/2), 2 < u, x = u^2-3, And(
-u^2+3 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3, 3], [6, 6], [-3, -3], [0, 0]]]], [[3, 2, 5, 4, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 2, 5, 4, 2], [And(-2
^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]
]]], [[3, 2, 5, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/
2, -1/2], [0, 0], [0, 0]]]], [[3, 2, 5, 4, 4], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/
2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[3, 2, 5, 4, 5], [And(-2^
(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1/2, -1/2], [0, 0], [2, 2]]]], [[3, 8, 1, 5, 1], [And(-2^
(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [2, 2], [-2, -2]]]], [[3, 8, 1, 5, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3, -3], [2, 2], [-1, -1]]]], [[3, 8, 1, 5,
3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [2,
2], [0, 0]]]], [[3, 8, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2)
, x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [2,
2], [1, 1]]]], [[3, 8, 1, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2)
, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [2,
2], [2, 2]]]], [[3, 9, 11, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2
) < u,u < (v^2-1)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[3, 9, 11,
4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1
< x, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [2, 2], [-2, -2], [0, 0]]]], [[3, 9, 11, 4, 3], [And(-2^(1/2) < v,v < -1
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-2, -2]
, [1, 1]]]], [[3, 17, 2, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288
, -8957873/1048576], [8957873/2097152, 8957873/2097152], [-4, -4]]]], [[3, 17,
2, 3, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [-2167143/1048576, -1083571/524288]]]], [[3
, 17, 2, 3, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1,
And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/
524288, -8957873/1048576], [8957873/2097152, 8957873/2097152], [0, 0]]]], [[3,
17, 2, 3, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[3,
17, 2, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [4, 4]]]], [[4, 1, 8, 2, 1], [v = -1, u < -
3^(1/2), x = 1, y = -u^2-1, z < u], [regular_chain, [[-1, -1], [-3, -3], [1, 1
], [-10, -10], [-4, -4]]]], [[4, 1, 8, 2, 2], [v = -1, u < -3^(1/2), x = 1, y
= -u^2-1, z = u], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-10, -10], [-3
, -3]]]], [[4, 1, 8, 2, 3], [v = -1, u < -3^(1/2), x = 1, y = -u^2-1, And(u <
z,z < -u)], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-10, -10], [0, 0]]]]
, [[4, 1, 8, 2, 4], [v = -1, u < -3^(1/2), x = 1, y = -u^2-1, z = -u], [
regular_chain, [[-1, -1], [-3, -3], [1, 1], [-10, -10], [3, 3]]]], [[4, 1, 8,
2, 5], [v = -1, u < -3^(1/2), x = 1, y = -u^2-1, -u < z], [regular_chain, [[-1
, -1], [-3, -3], [1, 1], [-10, -10], [4, 4]]]], [[4, 7, 4, 5, 1], [v = -1, And
(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [-2, -2]]]], [[4
, 7, 4, 5, 2], [v = -1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z =
-(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [3/8, 3/8],
[-3315889/4194304, -207243/262144]]]], [[4, 7, 4, 5, 3], [v = -1, And(-1 < u,u
< 0), x = -1, And(0 < y,y < -u^2+1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [0, 0]]]], [[4,
7, 4, 5, 4], [v = -1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z = (1
-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [
207243/262144, 828973/1048576]]]], [[4, 7, 4, 5, 5], [v = -1, And(-1 < u,u < 0
), x = -1, And(0 < y,y < -u^2+1), (1-y)^(1/2) < z], [regular_chain, [[-1, -1],
[-1/2, -1/2], [-1, -1], [3/8, 3/8], [2, 2]]]], [[4, 9, 3, 4, 1], [v = -1, And(
0 < u,u < 1), And(u^2-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[-1, -1], [1/2, 1/2], [-11/8, -11/8], [0, 0], [-3, -3]]]], [[4, 9, 3, 4, 2],
[v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [0, 0], [-1229565/
1048576, -307391/262144]]]], [[4, 9, 3, 4, 3], [v = -1, And(0 < u,u < 1), And(
u^2-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [0, 0], [0, 0]]]], [[4, 9, 3, 4, 4],
[v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [0, 0], [307391/262144,
1229565/1048576]]]], [[4, 9, 3, 4, 5], [v = -1, And(0 < u,u < 1), And(u^2-2 <
x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-11
/8, -11/8], [0, 0], [3, 3]]]], [[4, 13, 5, 9, 1], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), And(-1 < x,x < 0), u^2-x-2 < y, z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [2, 2], [0, 0]]]], [[4, 15, 3
, 1, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y < -u^2-x, z < -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [-5, -5], [-5, -5]]]], [[4
, 15, 3, 1, 2], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y < -u^2-x, z = -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [-5, -5], [-3315889
/1048576, -207243/65536]]]], [[4, 15, 3, 1, 3], [v = -1, 3^(1/2) < u, And(-u^2
< x,x < -1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [-5, -5], [0, 0]]]], [[4, 15, 3, 1
, 4], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/2)
], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [-5, -5], [207243/65536, 
3315889/1048576]]]], [[4, 15, 3, 1, 5], [v = -1, 3^(1/2) < u, And(-u^2 < x,x <
-1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-5, -5
], [-5, -5], [5, 5]]]], [[5, 5, 4, 6, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/
2) < u,u < v), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [424157/1048576
, 212079/524288], [-2, -2]]]], [[5, 5, 4, 6, 2], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[424157/1048576, 212079/524288], [-1618333/2097152, -3236665/4194304]]]], [[5,
5, 4, 6, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^
2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [424157/1048576,
212079/524288], [-1/8388608, -1/8388608]]]], [[5, 5, 4, 6, 4], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -\
1], [424157/1048576, 212079/524288], [404583/524288, 809167/1048576]]]], [[5,
5, 4, 6, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^
2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [424157/1048576, 212079/524288], [2, 2]]
]], [[5, 7, 5, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u
^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [-7/8, -7/8], [-2, -2], [-3, -3]]]], [[5, 7, 5, 1, 2], [And(-1 < v,v <
0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = -(-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-2, -2], [-\
3555895/2097152, -1777947/1048576]]]], [[5, 7, 5, 1, 3], [And(-1 < v,v < 0), 
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8
], [-2, -2], [0, 0]]]], [[5, 7, 5, 1, 4], [And(-1 < v,v < 0), And(v < u,u < -v
), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-2, -2], [1777947/1048576
, 444487/262144]]]], [[5, 7, 5, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v),
And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [-2, -2], [3, 3]]]], [[5, 8, 6, 4, 1],
[And(-1 < v,v < 0), u = -v, x = 1, y = -1, z < 0], [regular_chain, [[-1/2, -1/
2], [1/2, 1/2], [1, 1], [-1, -1], [-1, -1]]]], [[5, 8, 6, 4, 2], [And(-1 < v,v
< 0), u = -v, x = 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2]
, [1, 1], [-1, -1], [0, 0]]]], [[5, 8, 6, 4, 3], [And(-1 < v,v < 0), u = -v, x
= 1, y = -1, 0 < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-1, -\
1], [1, 1]]]], [[5, 10, 7, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0
< x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[5, 10, 7
, 1, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z
= -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[5, 10,
7, 1, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [1/2, 1/2], [-4, -4], [0, 0]]]], [[5, 10, 7,
1, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z =
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072]
, [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[5, 10, 7, 1, 5]
, [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/
2, 1/2], [-4, -4], [3, 3]]]], [[6, 2, 7, 3, 1], [v = 0, u = -2^(1/2), And(0 <
x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
-1482911/1048576, -741455/524288], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[6, 2,
7, 3, 2], [v = 0, u = -2^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/
2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[6, 2, 7, 3, 3], [v
= 0, u = -2^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [1/2, 1/2], [-2, -2], [0, 0]]]], [[6, 2, 7, 3, 4], [v = 0, u = -2^(1/
2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-2, -2], [642119/
524288, 1284239/1048576]]]], [[6, 2, 7, 3, 5], [v = 0, u = -2^(1/2), And(0 < x
,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-2, -2], [3, 3]]]], [[6, 4, 5,
1, 1], [v = 0, u = -1, And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[6, 4,
5, 1, 2], [v = 0, u = -1, And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -\
980853/524288]]]], [[6, 4, 5, 1, 3], [v = 0, u = -1, And(-1 < x,x < 0), y < -x
-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1
], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[6, 4, 5, 1, 4], [v = 0, u = -1, And(-1
< x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-\
1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[6, 4, 5, 1, 5], [
v = 0, u = -1, And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [-1, -1], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[6, 8, 8, 5, 1], [v = 0
, u = 1, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[0, 0], [1, 1], [1
, 1], [-1/2, -1/2], [0, 0]]]], [[6, 10, 5, 6, 1], [v = 0, u = 2^(1/2), And(-1
< x,x < 0), y = -x, z < 0], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[6, 10, 5, 6, 2], [v = 0, u
= 2^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[0, 0], [741455
/524288, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[6, 10, 5, 6,
3], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[
0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]],
[[7, 4, 6, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, 0 < y, z = z],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [1, 1
], [0, 0]]]], [[7, 6, 5, 4, 1], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), y
= -x, z < 0], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-1/2, -1
/2], [-1, -1]]]], [[7, 6, 5, 4, 2], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1
), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[7, 6, 5, 4, 3], [And(0 < v,v < 1), u = -v, And(0 < x,x
< 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [
-1/2, -1/2], [1, 1]]]], [[7, 13, 7, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) <
u, And(0 < x,x < 1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2
, 1/2], [3, 3], [1/2, 1/2], [29/8, 29/8], [0, 0]]]], [[8, 2, 3, 1, 1], [v = 1,
u = -3^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-2, -2], [-3, -3]]
]], [[8, 2, 3, 1, 2], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y < -x-3, z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-2, -2], [-2, -2], [-2, -2]]]], [[8, 2, 3, 1, 3], [v = 1, u = -3^(1/2), And(-\
3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-2, -\
2], [0, 0]]]], [[8, 2, 3, 1, 4], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y <
-x-3, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [-2, -2], [2, 2]]]], [[8, 2, 3, 1, 5], [v = 1, u = -3^(1/2
), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [-2, -2], [-2, -2], [3, 3]]]], [[8, 7, 9,
7, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(-x < y,y < 0), z = z],
[regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[
8, 9, 9, 1, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y < u^2-x-2, z < -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-4, -4], [-3,
-3]]]], [[8, 9, 9, 1, 2], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y < u^2-
x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-4,
-4], [-7846825/4194304, -980853/524288]]]], [[8, 9, 9, 1, 3], [v = 1, And(0 <
u,u < 1), And(0 < x,x < 1), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-4, -4], [0, 0]]]], [[8
, 9, 9, 1, 4], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y < u^2-x-2, z = (-
x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-4, -4], [
980853/524288, 1961707/1048576]]]], [[8, 9, 9, 1, 5], [v = 1, And(0 < u,u < 1)
, And(0 < x,x < 1), y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
1/2, 1/2], [1/2, 1/2], [-4, -4], [3, 3]]]], [[8, 13, 11, 4, 1], [v = 1, And(2^
(1/2) < u,u < 3^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [2, 2], [-2, -2], [-1, -1]]]], [[8, 13, 11,
4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = -x, z = 0], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-2, -2],
[0, 0]]]], [[8, 13, 11, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y
= -x, 0 < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2,
2], [-2, -2], [1, 1]]]], [[8, 15, 8, 7, 1], [v = 1, 3^(1/2) < u, x = 1, And(0
< y,y < u^2-3), z = z], [regular_chain, [[1, 1], [3, 3], [1, 1], [3, 3], [0, 0
]]]], [[9, 5, 9, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v
), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [0, 0], [0, 0]]]]
, [[9, 7, 10, 7, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1/2, -1/2], [0, 0]]]
], [[9, 9, 3, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [1812519/2097152, 1812519/2097152], [-2, -2]]]], [[9, 9, 3,
5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And
(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [1812519/2097152, 1812519/2097152], [-7798593/8388608, -121853/
131072]]]], [[9, 9, 3, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,
u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [1812519/2097152, 
1812519/2097152], [0, 0]]]], [[9, 9, 3, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [-1812519/1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152
], [121853/131072, 974825/1048576]]]], [[9, 9, 3, 5, 5], [And(1 < v,v < 2^(1/2
)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(
0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [1812519/2097152, 
1812519/2097152], [2, 2]]]], [[9, 11, 2, 6, 1], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
1646781/1048576, -3293561/2097152], [411695/262144, 1646781/1048576], [-1, -1]
]]], [[9, 11, 2, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -\
3293561/2097152], [411695/262144, 1646781/1048576], [0, 0]]]], [[9, 11, 2, 6,
3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y =
-u^2+v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [411695
/262144, 1646781/1048576], [1, 1]]]], [[9, 16, 7, 3, 1], [And(1 < v,v < 2^(1/2
)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[9, 16, 7, 3, 2], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853
/65536, 1949649/1048576], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/
524288]]]], [[9, 16, 7, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And
(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[9, 16, 7, 3, 4], [And(1 < v,v < 2
^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [
[9, 16, 7, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1)
, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-2, -2], [3, 3
]]]], [[10, 1, 4, 6, 1], [v = 2^(1/2), u < -2, x = -1, y = 1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [1, 1],
[-1, -1]]]], [[10, 1, 4, 6, 2], [v = 2^(1/2), u < -2, x = -1, y = 1, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [1, 1],
[0, 0]]]], [[10, 1, 4, 6, 3], [v = 2^(1/2), u < -2, x = -1, y = 1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [1, 1],
[1, 1]]]], [[10, 5, 3, 6, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2
+1 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [746709/1048576, 373355/524288], [-2, -2]]]], [[10
, 5, 3, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1),
y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [746709/1048576, 373355/524288], [-379975/524288, -1519899/2097152]]
]], [[10, 5, 3, 6, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,
x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [746709/1048576, 373355/524288
], [-1/4194304, -1/4194304]]]], [[10, 5, 3, 6, 4], [v = 2^(1/2), And(-3^(1/2)
< u,u < -v), And(-u^2+1 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [746709/1048576, 373355/524288
], [759949/1048576, 379975/524288]]]], [[10, 5, 3, 6, 5], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y = u^2-x-3, (-u^2+3)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [-1297479/1048576, -1297479/1048576], [746709/1048576, 373355/
524288], [2, 2]]]], [[10, 7, 4, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -\
1, And(0 < y,y < -u^2+2), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [-2, -2]]]], [[10, 7, 4, 5, 2], [v = 2^(1/2), And(-v
< u,u < -1), x = -1, And(0 < y,y < -u^2+2), z = -(1-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [569265/2097152, 569265/2097152], [-3580063/4194304, -1790031/2097152]]]]
, [[10, 7, 4, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(0 < y,y < -
u^2+2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [
569265/2097152, 569265/2097152], [-1/4194304, -1/4194304]]]], [[10, 7, 4, 5, 4
], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(0 < y,y < -u^2+2), z = (1-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [895015/1048576
, 111877/131072]]]], [[10, 7, 4, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), x =
-1, And(0 < y,y < -u^2+2), (1-y)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [2, 2]]]], [[10, 12, 6, 5, 1], [v = 2^(1/2), u = 1,
x = 0, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1
], [0, 0], [1, 1], [0, 0]]]], [[10, 14, 6, 1, 1], [v = 2^(1/2), u = v, x = 1,
y < -2, z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[10, 14, 6,
1, 2], [v = 2^(1/2), u = v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1, 1], [
-3, -3], [-1482911/1048576, -741455/524288]]]], [[10, 14, 6, 1, 3], [v = 2^(1/
2), u = v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1, 1], [-3, -3], [0, 0]]]], [[10, 14, 6, 1, 4], [v = 2^(1/2), u = v
, x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [1, 1], [-3, -3], [741455/524288,
1482911/1048576]]]], [[10, 14, 6, 1, 5], [v = 2^(1/2), u = v, x = 1, y < -2, (
-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [1, 1], [-3, -3], [3, 3]]]], [[11, 2, 2, 2, 1], [2^(
1/2) < v, u = -(v^2+2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [regular_chain, [[
3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[
11, 2, 2, 2, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, y = 0, z = -3^(1/2)
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [0,
0], [-1816187/1048576, -3632373/2097152]]]], [[11, 2, 2, 2, 3], [2^(1/2) < v,
u = -(v^2+2)^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [0, 0],
[-1/4194304, -1/4194304]]]], [[11, 2, 2, 2, 4], [2^(1/2) < v, u = -(v^2+2)^(1/
2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[11,
2, 2, 2, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [0, 0],
[3, 3]]]], [[11, 3, 10, 7, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0), z = z], [regular_chain, [[3, 3], [
-3396811/1048576, -3396811/1048576], [1, 1], [-1061063/4194304, -1061063/
4194304], [0, 0]]]], [[11, 9, 8, 4, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [
-133259/262144, -1066071/2097152], [-1, -1]]]], [[11, 9, 8, 4, 2], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1,
z = 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
533035/1048576, 133259/262144], [-133259/262144, -1066071/2097152], [0, 0]]]],
[[11, 9, 8, 4, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-133259/262144,
-1066071/2097152], [1, 1]]]], [[11, 11, 5, 7, 1], [2^(1/2) < v, And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < -u^2+v^2-x-1),
z = z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [9/2, 9/2], [0, 0]]]],
[[11, 15, 4, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(0
< y,y < -u^2+v^2), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [-2, -2]]
]], [[11, 15, 4, 5, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, 
And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [-1811727
/2097152, -3623453/4194304]]]], [[11, 15, 4, 5, 3], [2^(1/2) < v, And((v^2-1)^
(1/2) < u,u < v), x = -1, And(0 < y,y < -u^2+v^2), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1,
-1], [133001/524288, 133001/524288], [-1/8388608, -1/8388608]]]], [[11, 15, 4,
5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, And(0 < y,y < -u^2+
v^2), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-1, -1], [133001/524288, 133001/524288], [905863/1048576, 113233/
131072]]]], [[11, 15, 4, 5, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= -1, And(0 < y,y < -u^2+v^2), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [
2, 2]]]], [[11, 17, 5, 4, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(
-1 < x,x < u^2-v^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [
-2, -2]]]], [[11, 17, 5, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(-1 < x,x < u^2-v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [
-3640339/4194304, -1820169/2097152]]]], [[11, 17, 5, 4, 3], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
-1579769/2097152, -1579769/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[11
, 17, 5, 4, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2
-v^2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [227521/262144,
910085/1048576]]]], [[11, 17, 5, 4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1
/2)), And(-1 < x,x < u^2-v^2-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [0,
0], [2, 2]]]], [[1, 1, 6, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, And
(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5],
[0, 0], [-17/2, -17/2], [-4, -4]]]], [[1, 1, 6, 3, 2], [v < -2^(1/2), u < -(v^
2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain
, [[-3, -3], [-5, -5], [0, 0], [-17/2, -17/2], [-24456785/8388608, -1528549/
524288]]]], [[1, 1, 6, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, And(-u
^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-\
3, -3], [-5, -5], [0, 0], [-17/2, -17/2], [0, 0]]]], [[1, 1, 6, 3, 4], [v < -2
^(1/2), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)],
[regular_chain, [[-3, -3], [-5, -5], [0, 0], [-17/2, -17/2], [1528549/524288,
3057099/1048576]]]], [[1, 1, 6, 3, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5,
-5], [0, 0], [-17/2, -17/2], [4, 4]]]], [[1, 3, 3, 4, 1], [v < -2^(1/2), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z <
-(-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[-915943/524288, -915943/524288], [0, 0], [-3, -3]]]], [[1, 3, 3, 4, 2], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [0, 0], [-346489/262144, -\
1385955/1048576]]]], [[1, 3, 3, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[-915943/524288, -915943/524288], [0, 0], [0, 0]]]], [[1, 3, 3, 4, 4], [v < -2
^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [0, 0], [1385955/1048576,
346489/262144]]]], [[1, 3, 3, 4, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [0, 0], [3, 3]]]], [[1, 9, 1, 5, 1], [v < -2^(1/2), 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-4, -4], [5758421/2097152, 5758421/2097152], [-3, -3]]]],
[[1, 9, 1, 5, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
< u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [5758421/2097152,
5758421/2097152], [-587149/524288, -1174297/1048576]]]], [[1, 9, 1, 5, 3], [v
< -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2
-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [5758421/
2097152, 5758421/2097152], [0, 0]]]], [[1, 9, 1, 5, 4], [v < -2^(1/2), And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369
/8388608], [-4, -4], [5758421/2097152, 5758421/2097152], [1174297/1048576, 
587149/524288]]]], [[1, 9, 1, 5, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4],
[5758421/2097152, 5758421/2097152], [3, 3]]]], [[1, 10, 7, 4, 1], [v < -2^(1/2
), u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]
]], [[1, 10, 7, 4, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), y
= -x, z = 0], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 10, 7, 4, 3], [v < -2^(1/2), u = -(v
^2-2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1,
14, 5, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1, 14, 5, 5, 2], [v < -2^(1
/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2
)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2],
[1/4, 1/4], [-1/2, -1/2]]]], [[1, 14, 5, 5, 3], [v < -2^(1/2), u = (v^2-1)^(1/
2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2
], [1/4, 1/4], [0, 0]]]], [[1, 14, 5, 5, 4], [v < -2^(1/2), u = (v^2-1)^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3,
-3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]]
, [[1, 14, 5, 5, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 16, 4, 2, 1], [v <
-2^(1/2), u = -v, x = 0, y = -1, z < -1], [regular_chain, [[-3, -3], [3, 3], [
0, 0], [-1, -1], [-2, -2]]]], [[1, 16, 4, 2, 2], [v < -2^(1/2), u = -v, x = 0,
y = -1, z = -1], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-1, -1], [-1, -1]
]]], [[1, 16, 4, 2, 3], [v < -2^(1/2), u = -v, x = 0, y = -1, And(-1 < z,z < 1
)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-1, -1], [0, 0]]]], [[1, 16, 4
, 2, 4], [v < -2^(1/2), u = -v, x = 0, y = -1, z = 1], [regular_chain, [[-3, -\
3], [3, 3], [0, 0], [-1, -1], [1, 1]]]], [[1, 16, 4, 2, 5], [v < -2^(1/2), u =
-v, x = 0, y = -1, 1 < z], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-1, -1]
, [2, 2]]]], [[1, 21, 10, 6, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2
-1, y = 0, z = z], [regular_chain, [[-3, -3], [5, 5], [15, 15], [0, 0], [0, 0]
]]], [[2, 2, 5, 5, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[2, 2, 5, 5, 2], [v = -2^(1/
2), u = -2, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [1
/4, 1/4], [-1/2, -1/2]]]], [[2, 2, 5, 5, 3], [v = -2^(1/2), u = -2, And(-1 < x
,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [1
/4, 1/4], [0, 0]]]], [[2, 2, 5, 5, 4], [v = -2^(1/2), u = -2, And(-1 < x,x < 0
), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 2, 5,
5, 5], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2,
-1/2], [1/4, 1/4], [2, 2]]]], [[2, 9, 7, 5, 1], [v = -2^(1/2), And(-1 < u,u <
0), And(0 < x,x < -u^2+1), And(-x < y,y < 0), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [-3/16, -3/16], [0
, 0]]]], [[2, 11, 4, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -1, y = 0, z
< -1], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -\
1], [0, 0], [-2, -2]]]], [[2, 11, 4, 4, 2], [v = -2^(1/2), And(0 < u,u < 1), x
= -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [-1, -1], [0, 0], [-1, -1]]]], [[2, 11, 4, 4, 3], [v = -2^(1/2), And(
0 < u,u < 1), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[2, 11, 4,
4, 4], [v = -2^(1/2), And(0 < u,u < 1), x = -1, y = 0, z = 1], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [0, 0], [1, 1]]]],
[[2, 11, 4, 4, 5], [v = -2^(1/2), And(0 < u,u < 1), x = -1, y = 0, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [0,
0], [2, 2]]]], [[2, 17, 2, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -
u^2+1, And(u^2-1 < y,y < 2*u^2-4), z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619
/1048576], [2855353/1048576, 2855353/1048576], [0, 0]]]], [[2, 18, 8, 4, 1], [
v = -2^(1/2), u = 2, x = 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [2, 2], [1, 1], [-1, -1], [-1, -1]]]], [[2, 18, 8, 4, 2], [
v = -2^(1/2), u = 2, x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [2, 2], [1, 1], [-1, -1], [0, 0]]]], [[2, 18, 8, 4, 3], [v
= -2^(1/2), u = 2, x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [1, 1], [-1, -1], [1, 1]]]], [[3, 3, 5, 6, 1], [And(-
2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x
< 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]],
[[3, 3, 5, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/
2], [1/2, 1/2], [0, 0]]]], [[3, 3, 5, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 5, 4, 5, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^
2-v^2), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [122559/524288, 
122559/524288], [-2, -2]]]], [[3, 5, 4, 5, 2], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), z = -(1-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [-7342967/8388608,
-3671483/4194304]]]], [[3, 5, 4, 5, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1
)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [-3/
8388608, -3/8388608]]]], [[3, 5, 4, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^
2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [458935/524288, 
917871/1048576]]]], [[3, 5, 4, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [2, 2]]]], [[3, 11
, 2, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-
v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/
2097152], [411695/262144, 1646781/1048576], [-1, -1]]]], [[3, 11, 2, 6, 2], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -u
^2+v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [411695
/262144, 1646781/1048576], [0, 0]]]], [[3, 11, 2, 6, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [411695/262144, 1646781/
1048576], [1, 1]]]], [[3, 13, 3, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-\
122559/1048576, -122559/1048576], [-3, -3]]]], [[3, 13, 3, 3, 2], [And(-2^(1/2
) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(
-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/
2097152, -2587387/2097152], [-122559/1048576, -122559/1048576], [-609313/
524288, -1218625/1048576]]]], [[3, 13, 3, 3, 3], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/
2097152, -2587387/2097152], [-122559/1048576, -122559/1048576], [0, 0]]]], [[3
, 13, 3, 3, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-122559/1048576, -\
122559/1048576], [1218625/1048576, 609313/524288]]]], [[3, 13, 3, 3, 5], [And(
-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/
2097152, -2587387/2097152], [-122559/1048576, -122559/1048576], [3, 3]]]], [[3
, 14, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y < -1,
z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-1, -1], [-2, -2], [-3, -3]]]], [[3, 14, 4,
1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y < -1, z = -(1-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[3, 14, 4, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [-2, -2], [-1/4194304, -1/4194304]]]], [[3, 14, 4, 1, 4], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1,
-1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[3, 14, 4, 1, 5], [And(-2
^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1, -1], [-2, -2], [3, 3]]]], [[3, 16, 2, 1, 1], [And(-2^(1/2) < v,
v < -1), u = (v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -\
3], [-1, -1], [-3, -3]]]], [[3, 16, 2, 1, 2], [And(-2^(1/2) < v,v < -1), u = (
v^2+2)^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [-1, -1
], [-2, -2]]]], [[3, 16, 2, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2
), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3],
[-1, -1], [0, 0]]]], [[3, 16, 2, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [-1, -1], [2, 2]]
]], [[3, 16, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, y
< 0, (3-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[4, 4, 1, 6,
1], [v = -1, u = -2^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [-3, -3], [3, 3], [-1, -1]]]], [[4, 4, 1,
6, 2], [v = -1, u = -2^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3], [0, 0]]]], [[4, 4, 1,
6, 3], [v = -1, u = -2^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3], [1, 1]]]], [[4, 5, 11
, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [2, 2], [-4763569/2097152, -4763569/2097152], [-2, -2]]]], [[4, 5, 
11, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [2, 2], [-4763569/2097152, -4763569/2097152], [-273157/524288, -\
1092627/2097152]]]], [[4, 5, 11, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), 1 <
x, And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
4763569/2097152, -4763569/2097152], [-1/4194304, -1/4194304]]]], [[4, 5, 11, 5
, 4], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[2, 2], [-4763569/2097152, -4763569/2097152], [546313/1048576, 273157/524288]]
]], [[4, 5, 11, 5, 5], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, And(u^2-x-2 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4763569/2097152, -4763569/2097152], [2, 2]]]], [[4
, 10, 4, 2, 1], [v = -1, u = 1, x = 0, y = -1, z < -1], [regular_chain, [[-1,
-1], [1, 1], [0, 0], [-1, -1], [-2, -2]]]], [[4, 10, 4, 2, 2], [v = -1, u = 1,
x = 0, y = -1, z = -1], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-1, -1], [
-1, -1]]]], [[4, 10, 4, 2, 3], [v = -1, u = 1, x = 0, y = -1, And(-1 < z,z < 1
)], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-1, -1], [0, 0]]]], [[4, 10, 4
, 2, 4], [v = -1, u = 1, x = 0, y = -1, z = 1], [regular_chain, [[-1, -1], [1,
1], [0, 0], [-1, -1], [1, 1]]]], [[4, 10, 4, 2, 5], [v = -1, u = 1, x = 0, y =
-1, 1 < z], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-1, -1], [2, 2]]]], [[
4, 12, 4, 6, 1], [v = -1, u = 2^(1/2), x = -1, y = 1, z < 0], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[
4, 12, 4, 6, 2], [v = -1, u = 2^(1/2), x = -1, y = 1, z = 0], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [0, 0]]]], [[4,
12, 4, 6, 3], [v = -1, u = 2^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [1, 1]]]], [[5, 2,
5, 3, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [
-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[5, 2, 5, 3, 2], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/4, -5/4], [-\
10837/8192, -1387135/1048576]]]], [[5, 2, 5, 3, 3], [And(-1 < v,v < 0), u = -(
v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [
-5/4, -5/4], [0, 0]]]], [[5, 2, 5, 3, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/
2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 
10837/8192]]]], [[5, 2, 5, 3, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(
-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-3/2, -3/2], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[5, 4, 2, 4, 1],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, y = 2, z < 0], [regular_chain,
[[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [2, 2], [-1, -1]]
]], [[5, 4, 2, 4, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, y = 2, z
= 0], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2,
-2], [2, 2], [0, 0]]]], [[5, 4, 2, 4, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/
2), x = -2, y = 2, 0 < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-2, -2], [2, 2], [1, 1]]]], [[5, 11, 7, 9, 1], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), u^
2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [243021/1048576, 243021/1048576], [2, 2], [0, 0]]]], [[5, 13, 4, 8, 1
], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -1, y = u^2-v^2, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1, -1], [35/4, 35/4], [0, 0]]]], [[6,
5, 6, 2, 1], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = -2*u^2, z < -(u^2+1)^(1
/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-1/2, -1/2], [-3,
-3]]]], [[6, 5, 6, 2, 2], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = -2*u^2, z
= -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-1/2,
-1/2], [-146543/131072, -1172343/1048576]]]], [[6, 5, 6, 2, 3], [v = 0, And(-1
< u,u < 0), x = u^2-1, y = -2*u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))],
[regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-1/2, -1/2], [0, 0]]]],
[[6, 5, 6, 2, 4], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = -2*u^2, z = (u^2+1
)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [-1/2, -1/2], [
1172343/1048576, 146543/131072]]]], [[6, 5, 6, 2, 5], [v = 0, And(-1 < u,u < 0
), x = u^2-1, y = -2*u^2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2,
-1/2], [-3/4, -3/4], [-1/2, -1/2], [3, 3]]]], [[6, 7, 6, 6, 1], [v = 0, And(0
< u,u < 1), x = u^2-1, y = -u^2+1, z < 0], [regular_chain, [[0, 0], [1/2, 1/2]
, [-3/4, -3/4], [3/4, 3/4], [-1, -1]]]], [[6, 7, 6, 6, 2], [v = 0, And(0 < u,u
< 1), x = u^2-1, y = -u^2+1, z = 0], [regular_chain, [[0, 0], [1/2, 1/2], [-3/
4, -3/4], [3/4, 3/4], [0, 0]]]], [[6, 7, 6, 6, 3], [v = 0, And(0 < u,u < 1), x
= u^2-1, y = -u^2+1, 0 < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4]
, [3/4, 3/4], [1, 1]]]], [[6, 11, 6, 1, 1], [v = 0, 2^(1/2) < u, x = 0, y < -u
^2-1, z < -(-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [-11, -11], [
-5, -5]]]], [[6, 11, 6, 1, 2], [v = 0, 2^(1/2) < u, x = 0, y < -u^2-1, z = -(-
y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [-11, -11], [-1738867/
524288, -3477733/1048576]]]], [[6, 11, 6, 1, 3], [v = 0, 2^(1/2) < u, x = 0, y
< -u^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [3, 3
], [0, 0], [-11, -11], [0, 0]]]], [[6, 11, 6, 1, 4], [v = 0, 2^(1/2) < u, x =
0, y < -u^2-1, z = (-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [-11,
-11], [3477733/1048576, 1738867/524288]]]], [[6, 11, 6, 1, 5], [v = 0, 2^(1/2)
< u, x = 0, y < -u^2-1, (-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [0,
0], [-11, -11], [5, 5]]]], [[7, 1, 11, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^
(1/2), u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [9
, 9], [1, 1], [0, 0]]]], [[7, 7, 8, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v
), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0]
, [0, 0], [-3, -3], [-3, -3]]]], [[7, 7, 8, 1, 2], [And(0 < v,v < 1), And(-v <
u,u < v), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[7, 7, 8,
1, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, y < u^2-v^2-1, And(-(-y)^(
1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3, -\
3], [-1/4194304, -1/4194304]]]], [[7, 7, 8, 1, 4], [And(0 < v,v < 1), And(-v <
u,u < v), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[7, 7, 8, 1, 5
], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3, -3], [3, 3]]]], [[7, 9, 8,
5, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [-2, -2]]]], [
[7, 9, 8, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u
^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [-\
1144335/2097152, -572167/1048576]]]], [[7, 9, 8, 5, 3], [And(0 < v,v < 1), And
(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [0, 0]]]], [[7, 9, 8,
5, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 <
y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [572167/
1048576, 71521/131072]]]], [[7, 9, 8, 5, 5], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-\
1248837/4194304, -1248837/4194304], [2, 2]]]], [[7, 11, 1, 4, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x
-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [1611109/1048576, 805555/524288], [-3, -3]]]], [[7,
11, 1, 4, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [343151/262144, 343151/262144], [-4, -4], [1611109/1048576, 805555/
524288], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 1, 4, 3], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v
^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [1611109/1048576, 805555/
524288], [0, 0]]]], [[7, 11, 1, 4, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [
1611109/1048576, 805555/524288], [1645805/1048576, 822903/524288]]]], [[7, 11,
1, 4, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [343151/262144, 343151/262144], [-4, -4], [1611109/1048576, 805555/524288],
[3, 3]]]], [[7, 12, 7, 7, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,
x < 1), And(0 < y,y < 1-x), z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [
1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[8, 4, 8, 6, 1], [v = 1, u = -2^(1/2), x =
1, y = 0, z = z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[1, 1], [0, 0], [0, 0]]]], [[8, 6, 7, 7, 1], [v = 1, u = -1, 1 < x, 0 < y, z =
z], [regular_chain, [[1, 1], [-1, -1], [2, 2], [1, 1], [0, 0]]]], [[8, 11, 3,
3, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-239655/2097152, -239655/
2097152], [-3, -3]]]], [[8, 11, 3, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(
-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-239655/2097152, -239655/2097152], [-151887/131072, -1215095/
1048576]]]], [[8, 11, 3, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x
< -1), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [-239655/2097152, -239655/2097152], [0, 0]]]], [[8, 11, 3,
3, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-239655/2097152, -239655/
2097152], [1215095/1048576, 151887/131072]]]], [[8, 11, 3, 3, 5], [v = 1, And(
1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [3, 3]]]], [[8
, 13, 2, 4, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = u^2, z < 0
], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/
524288, -2594957/1048576], [2594957/1048576, 1297479/524288], [-1, -1]]]], [[8
, 13, 2, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = u^2, z = 0
], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/
524288, -2594957/1048576], [2594957/1048576, 1297479/524288], [0, 0]]]], [[8,
13, 2, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = u^2, 0 < z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/524288,
-2594957/1048576], [2594957/1048576, 1297479/524288], [1, 1]]]], [[9, 3, 1, 7,
1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -
u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [
8890573/2097152, 8890573/2097152], [0, 0]]]], [[9, 5, 1, 1, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[9, 5, 1, 1, 2], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0, z = -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [-1, -1], [-2, -2]]]], [[9, 5, 1, 1, 3],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-1, -1], [0
, 0]]]], [[9, 5, 1, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-1
, -1], [2, 2]]]], [[9, 5, 1, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2
) < u,u < -v), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [-1, -1], [3, 3]]]], [[9, 11, 11, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^
2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-636881/262144, -2547523/1048576], [-2, -2]]]], [[9, 11, 11
, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881/262144, -2547523
/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 11, 11, 4, 3], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881/
262144, -2547523/1048576], [0, 0]]]], [[9, 11, 11, 4, 4], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [-636881/262144, -2547523/1048576], [687203/1048576,
171801/262144]]]], [[9, 11, 11, 4, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-636881/262144, -2547523/1048576], [2, 2]]]], [[9, 14, 1, 3
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2),
z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[9, 14, 1
, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-\
2), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [1/2, 1/2], [-3315889/2097152, -\
207243/131072]]]], [[9, 14, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/
2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [1/2, 1/2], [0, 0]]]], [[9, 14, 1, 3, 4], [And(1 < v,v < 2^
(1/2)), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[9, 14, 1
, 3, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-\
2), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [-3, -3], [1/2, 1/2], [3, 3]]]], [[10, 2, 2,
4, 1], [v = 2^(1/2), u = -2, x = -3, y = 3, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-3, -3], [3, 3], [-1, -1]]]], [[10, 2, 2,
4, 2], [v = 2^(1/2), u = -2, x = -3, y = 3, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-3, -3], [3, 3], [0, 0]]]], [[10, 2, 2, 4
, 3], [v = 2^(1/2), u = -2, x = -3, y = 3, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-3, -3], [3, 3], [1, 1]]]], [[10, 3, 10,
9, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [1, 1], [1, 1], [0, 0]]]], [[10, 8, 2, 3, 1], [v = 2^(1/2), u = -1,
x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1, -1], [-2, -2], [1, 1], [-2, -2]]]], [[10, 8, 2, 3, 2],
[v = 2^(1/2), u = -1, x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [1, 1],
[-1, -1]]]], [[10, 8, 2, 3, 3], [v = 2^(1/2), u = -1, x = -2, And(0 < y,y < 2)
, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-2, -2], [1, 1], [0, 0]]]], [[10, 8, 2, 3, 4], [v
= 2^(1/2), u = -1, x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [1, 1], [1, 1]]]], [[10
, 8, 2, 3, 5], [v = 2^(1/2), u = -1, x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [1,
1], [2, 2]]]], [[10, 10, 1, 4, 1], [v = 2^(1/2), u = 0, x < -3, y = -x-3, z <
-3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4]
, [1, 1], [-3, -3]]]], [[10, 10, 1, 4, 2], [v = 2^(1/2), u = 0, x < -3, y = -x
-3, z = -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0],
[-4, -4], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[10, 10, 1, 4, 3],
[v = 2^(1/2), u = 0, x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [1, 1], [-\
1/4194304, -1/4194304]]]], [[10, 10, 1, 4, 4], [v = 2^(1/2), u = 0, x < -3, y
= -x-3, z = 3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0
], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[10, 10, 1, 4, 5],
[v = 2^(1/2), u = 0, x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [1, 1], [3, 3]]]], [[10, 15, 8, 3,
1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(-u^2+1 < y,y < u^2-3), z
< -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [0, 0], [-4194303/4194304, -4194303/4194304], [-2,
-2]]]], [[10, 15, 8, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(-
u^2+1 < y,y < u^2-3), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-4194303/
4194304, -4194303/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]
], [[10, 15, 8, 3, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(-u^2+1
< y,y < u^2-3), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-\
4194303/4194304, -4194303/4194304], [-3670015/8796093022208, -3670015/
8796093022208]]]], [[10, 15, 8, 3, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
= 0, And(-u^2+1 < y,y < u^2-3), z = (-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-\
4194303/4194304, -4194303/4194304], [1048575/1048576, 1]]]], [[10, 15, 8, 3, 5
], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, And(-u^2+1 < y,y < u^2-3), (-y
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [0, 0], [-4194303/4194304, -4194303/4194304], [2, 2
]]]], [[10, 17, 7, 6, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x <
u^2-3), y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [0, 0], [
0, 0]]]], [[10, 18, 7, 3, 1], [v = 2^(1/2), u = 2, And(0 < x,x < 1), And(-x-3
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[10, 18, 7, 3, 2], [v =
2^(1/2), u = 2, And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-2, -2]
, [-1284239/1048576, -642119/524288]]]], [[10, 18, 7, 3, 3], [v = 2^(1/2), u =
2, And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2],
[-2, -2], [0, 0]]]], [[10, 18, 7, 3, 4], [v = 2^(1/2), u = 2, And(0 < x,x < 1)
, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/
1048576]]]], [[10, 18, 7, 3, 5], [v = 2^(1/2), u = 2, And(0 < x,x < 1), And(-x
-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [1/2, 1/2], [-2, -2], [3, 3]]]], [[11, 1, 4, 6, 1], [2^(1/2)
< v, u < -(v^2+2)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[3, 3], [-5,
-5], [-1, -1], [1, 1], [-1, -1]]]], [[11, 1, 4, 6, 2], [2^(1/2) < v, u < -(v^2
+2)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [-5, -5], [-1, -1],
[1, 1], [0, 0]]]], [[11, 1, 4, 6, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1
, y = 1, 0 < z], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [1, 1], [1, 1]]]
], [[11, 6, 7, 1, 1], [2^(1/2) < v, u = -v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)
], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-4, -4], [-3, -3]]]], [[11, 6,
7, 1, 2], [2^(1/2) < v, u = -v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [2, 2], [-4, -4], [-1482911/1048576, -741455
/524288]]]], [[11, 6, 7, 1, 3], [2^(1/2) < v, u = -v, 1 < x, y < -1-x, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [2, 2],
[-4, -4], [0, 0]]]], [[11, 6, 7, 1, 4], [2^(1/2) < v, u = -v, 1 < x, y < -1-x,
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [2, 2], [-4, -4], [
741455/524288, 1482911/1048576]]]], [[11, 6, 7, 1, 5], [2^(1/2) < v, u = -v, 1
< x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [2, 2], [
-4, -4], [3, 3]]]], [[11, 8, 8, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1
, y = -3, z < -2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283
/4194304], [1, 1], [-3, -3], [-3, -3]]]], [[11, 8, 8, 2, 2], [2^(1/2) < v, u =
-(v^2-1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[11, 8, 8, 2, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1,
y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1, 1], [-3, -3], [0, 0]]]], [[11, 8, 8, 2, 4], [
2^(1/2) < v, u = -(v^2-1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain,
[[3, 3], [-2965821/1048576, -11863283/4194304], [1, 1], [-3, -3], [741455/
524288, 1482911/1048576]]]], [[11, 8, 8, 2, 5], [2^(1/2) < v, u = -(v^2-1)^(1/
2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [1, 1], [-3, -3], [3, 3]]]], [[11, 12, 5, 4, 1], [2^(1/2) <
v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [0, 0], [
-2, -2]]]], [[11, 12, 5, 4, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x
< 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[
11, 12, 5, 4, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 12, 5, 4, 4], [2^
(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[11, 12, 5, 4, 5], [2^(1/2) < v, u = (v^2-2)
^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 14, 3, 4,
1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2
)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [
0, 0], [-3, -3]]]], [[11, 14, 3, 4, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-\
2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/
524288]]]], [[11, 14, 3, 4, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[11, 14, 3,
4, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1
/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2],
[0, 0], [642119/524288, 1284239/1048576]]]], [[11, 14, 3, 4, 5], [2^(1/2) < v,
u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[
11, 19, 11, 4, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, y = -x, z < 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576]
, [2, 2], [-2, -2], [-1, -1]]]], [[11, 19, 11, 4, 2], [2^(1/2) < v, And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3]
, [3396811/1048576, 3396811/1048576], [2, 2], [-2, -2], [0, 0]]]], [[11, 19, 
11, 4, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y =
-x, 0 < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2
], [-2, -2], [1, 1]]]], [[11, 21, 8, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x
= 1, And(0 < y,y < u^2-v^2-2), z = z], [regular_chain, [[3, 3], [5, 5], [1, 1]
, [7, 7], [0, 0]]]], [[1, 4, 1, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x <
-2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3, -3], [2, 2], [-2, -2]]]], [[1, 4, 1, 5,
2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3,
-3], [2, 2], [-1, -1]]]], [[1, 4, 1, 5, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2),
x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [2, 2],
[0, 0]]]], [[1, 4, 1, 5, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x < -2, And(-x
-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-3, -3], [2, 2], [1, 1]]]], [[1, 4, 1, 5, 5], [v < -
2^(1/2), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3, -3], [2, 2]
, [2, 2]]]], [[1, 5, 11, 4, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-403851/131072, -403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152],
[-2, -2]]]], [[1, 5, 11, 4, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-403851/131072, -403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152],
[-373161/524288, -1492643/2097152]]]], [[1, 5, 11, 4, 3], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,
z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [2, 2], [-2628345/1048576, -5256689/2097152], [-1/4194304, -1/4194304
]]]], [[1, 5, 11, 4, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x,
y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [746321
/1048576, 373161/524288]]]], [[1, 5, 11, 4, 5], [v < -2^(1/2), And(-(v^2+1)^(1
/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [2, 2], [-2628345/
1048576, -5256689/2097152], [2, 2]]]], [[1, 11, 7, 7, 1], [v < -2^(1/2), And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And(0 < y,y < -u^2+v^2
-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [15/4, 15/4], [0
, 0]]]], [[1, 13, 4, 6, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1, -1], [1, 1], [-1, -1]]]], [[1, 13, 4, 6, 2], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 1, z = 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [1, 1],
[0, 0]]]], [[1, 13, 4, 6, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1, -1], [1, 1], [1, 1]]]], [[1, 17, 7, 4, 1], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144
], [-2, -2]]]], [[1, 17, 7, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)
), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-265597/1048576, -66399/262144], [-373161/524288, -1492643/
2097152]]]], [[1, 17, 7, 4, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [-1/
4194304, -1/4194304]]]], [[1, 17, 7, 4, 4], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304
, -1062385/4194304], [-265597/1048576, -66399/262144], [746321/1048576, 373161
/524288]]]], [[1, 17, 7, 4, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [-265597/1048576, -66399/262144], [2, 2]]]], [[1, 19, 6, 1,
1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v
^2-1, z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [0, 0], [-4, -4], [-3, -3]]]], [[1, 19, 6, 1, 2], [v < -2^(1/2), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)]
, [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [-4,
-4], [-2, -2]]]], [[1, 19, 6, 1, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [-4, -4]
, [0, 0]]]], [[1, 19, 6, 1, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [0, 0], [-4, -4], [2, 2]]]], [[1, 19, 6, 1
, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2
+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [0, 0], [-4, -4], [3, 3]]]], [[2, 3, 5, 8, 1], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), And(-1 < x,x < 0), y = u^2-x-3, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [1029755/1048576, 257439/262144], [0, 0]]]], [[2, 5, 4, 7, 1], [v = -2^
(1/2), And(-3^(1/2) < u,u < v), x = -1, And(u^2-2 < y,y < 1), z < -(1-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [1546383/2097152, 1546383/2097152], [-2, -2]]]], [
[2, 5, 4, 7, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(u^2-2 < y
,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-6598195/4194304, -6598195/4194304], [-1, -1], [1546383/2097152, 1546383/
2097152], [-1074731/2097152, -537365/1048576]]]], [[2, 5, 4, 7, 3], [v = -2^(1
/2), And(-3^(1/2) < u,u < v), x = -1, And(u^2-2 < y,y < 1), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [1546383/2097152, 1546383/
2097152], [0, 0]]]], [[2, 5, 4, 7, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = -1, And(u^2-2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [
1546383/2097152, 1546383/2097152], [537365/1048576, 268683/524288]]]], [[2, 5,
4, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(u^2-2 < y,y < 1)
, (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [1546383/2097152, 1546383/
2097152], [2, 2]]]], [[2, 6, 6, 1, 1], [v = -2^(1/2), u = v, x = 1, y < -2, z
< -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-3, -3]]]], [[2, 6, 6, 1,
2], [v = -2^(1/2), u = v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1]
, [-3, -3], [-1482911/1048576, -741455/524288]]]], [[2, 6, 6, 1, 3], [v = -2^(
1/2), u = v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [-3, -3], [0, 0]]]], [[2, 6, 6, 1, 4], [v = -2^(1/2), u = v,
x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [741455/524288,
1482911/1048576]]]], [[2, 6, 6, 1, 5], [v = -2^(1/2), u = v, x = 1, y < -2, (-
y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [1, 1], [-3, -3], [3, 3]]]], [[2, 8, 6, 3, 1
], [v = -2^(1/2), u = -1, x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-1, -1]
, [-2, -2]]]], [[2, 8, 6, 3, 2], [v = -2^(1/2), u = -1, x = 0, And(-2 < y,y <
0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1
, -1], [0, 0], [-1, -1], [-1, -1]]]], [[2, 8, 6, 3, 3], [v = -2^(1/2), u = -1,
x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-1, -1], [0, 0]]]],
[[2, 8, 6, 3, 4], [v = -2^(1/2), u = -1, x = 0, And(-2 < y,y < 0), z = (-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [
-1, -1], [1, 1]]]], [[2, 8, 6, 3, 5], [v = -2^(1/2), u = -1, x = 0, And(-2 < y
,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [0, 0], [-1, -1], [2, 2]]]], [[2, 13, 10, 9, 1], [v = -2^(1/2), And(
1 < u,u < -v), x = 1, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [1, 1], [0, 0]]]],
[[2, 15, 11, 4, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = u^2-x-3
, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [2, 2], [-5295845/2097152, -1323961/524288]
, [-2, -2]]]], [[2, 15, 11, 4, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 <
x, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-5295845/2097152,
-1323961/524288], [-1519901/2097152, -379975/524288]]]], [[2, 15, 11, 4, 3], [
v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2)
< z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [2, 2], [-5295845/2097152, -1323961/524288
], [0, 0]]]], [[2, 15, 11, 4, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 <
x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-5295845/2097152,
-1323961/524288], [379975/524288, 759951/1048576]]]], [[2, 15, 11, 4, 5], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [2, 2], [-5295845/2097152, -1323961/524288], [2, 2]]]], [[2, 19, 10,
4, 1], [v = -2^(1/2), 2 < u, x = u^2-3, y = -u^2+3, z < 0], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [6, 6], [-6, -6], [-1, -1]]]], [[2,
19, 10, 4, 2], [v = -2^(1/2), 2 < u, x = u^2-3, y = -u^2+3, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [-6, -6],
[0, 0]]]], [[2, 19, 10, 4, 3], [v = -2^(1/2), 2 < u, x = u^2-3, y = -u^2+3, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [-6
, -6], [1, 1]]]], [[3, 2, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1
/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[3, 2, 5, 3, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [-\
10837/8192, -1387135/1048576]]]], [[3, 2, 5, 3, 3], [And(-2^(1/2) < v,v < -1),
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [
[3, 2, 5, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x <
0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/4
, -5/4], [1387135/1048576, 10837/8192]]]], [[3, 2, 5, 3, 5], [And(-2^(1/2) < v
,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[3, 8, 1,
6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y = -x, z < 0],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [3, 3], [-1, -1]]]], [[3, 8, 1, 6, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -\
3], [3, 3], [0, 0]]]], [[3, 8, 1, 6, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-\
1)^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [3, 3], [1, 1]]]], [[
3, 9, 11, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), 1 < x, And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-7429987/4194304, -\
7429987/4194304], [0, 0]]]], [[3, 17, 2, 4, 1], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576
], [8957873/1048576, 4478937/524288], [-1, -1]]]], [[3, 17, 2, 4, 2], [And(-2^
(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288
, -8957873/1048576], [8957873/1048576, 4478937/524288], [0, 0]]]], [[3, 17, 2,
4, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v
^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
-4478937/524288, -8957873/1048576], [8957873/1048576, 4478937/524288], [1, 1]]
]], [[4, 1, 8, 3, 1], [v = -1, u < -3^(1/2), x = 1, And(-u^2-1 < y,y < -1), z
< -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-11/2, -11/2],
[-4, -4]]]], [[4, 1, 8, 3, 2], [v = -1, u < -3^(1/2), x = 1, And(-u^2-1 < y,y
< -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-11/2
, -11/2], [-1112183/524288, -2224365/1048576]]]], [[4, 1, 8, 3, 3], [v = -1, u
< -3^(1/2), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-11/2, -11/2], [0, 0]]]],
[[4, 1, 8, 3, 4], [v = -1, u < -3^(1/2), x = 1, And(-u^2-1 < y,y < -1), z = (-
y-1)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [-11/2, -11/2], [
2224365/1048576, 1112183/524288]]]], [[4, 1, 8, 3, 5], [v = -1, u < -3^(1/2),
x = 1, And(-u^2-1 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [
-3, -3], [1, 1], [-11/2, -11/2], [4, 4]]]], [[4, 7, 4, 4, 1], [v = -1, And(-1
< u,u < 0), x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [-1/2, -1/2], [
-1, -1], [0, 0], [-2, -2]]]], [[4, 7, 4, 4, 2], [v = -1, And(-1 < u,u < 0), x
= -1, y = 0, z = -1], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0
], [-1, -1]]]], [[4, 7, 4, 4, 3], [v = -1, And(-1 < u,u < 0), x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0],
[0, 0]]]], [[4, 7, 4, 4, 4], [v = -1, And(-1 < u,u < 0), x = -1, y = 0, z = 1]
, [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0], [1, 1]]]], [[4, 7
, 4, 4, 5], [v = -1, And(-1 < u,u < 0), x = -1, y = 0, 1 < z], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-1, -1], [0, 0], [2, 2]]]], [[4, 9, 3, 3, 1], [v = -\
1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), z < -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-3/16, -3/16
], [-3, -3]]]], [[4, 9, 3, 3, 2], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x <
-1), And(u^2-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1
/2, 1/2], [-11/8, -11/8], [-3/16, -3/16], [-5/4, -5/4]]]], [[4, 9, 3, 3, 3], [
v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
11/8, -11/8], [-3/16, -3/16], [0, 0]]]], [[4, 9, 3, 3, 4], [v = -1, And(0 < u,
u < 1), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-3/16, -3/16], [5/4, 5/
4]]]], [[4, 9, 3, 3, 5], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And
(u^2-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2],
[-11/8, -11/8], [-3/16, -3/16], [3, 3]]]], [[4, 13, 6, 1, 1], [v = -1, And(2^(
1/2) < u,u < 3^(1/2)), x = 0, y < -u^2, z < -(-y)^(1/2)], [regular_chain, [[-1
, -1], [3299097/2097152, 3299097/2097152], [0, 0], [-4, -4], [-3, -3]]]], [[4,
13, 6, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y < -u^2, z = -(-y
)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0
], [-4, -4], [-2, -2]]]], [[4, 13, 6, 1, 3], [v = -1, And(2^(1/2) < u,u < 3^(1
/2)), x = 0, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [
[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [-4, -4], [0, 0]]]], [[4
, 13, 6, 1, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y < -u^2, z = (-
y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0,
0], [-4, -4], [2, 2]]]], [[4, 13, 6, 1, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/
2)), x = 0, y < -u^2, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [0, 0], [-4, -4], [3, 3]]]], [[4, 15, 3, 2, 1], [v
= -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, z < -u], [regular_chain,
[[-1, -1], [3, 3], [-5, -5], [-4, -4], [-4, -4]]]], [[4, 15, 3, 2, 2], [v = -1
, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain, [[-1
, -1], [3, 3], [-5, -5], [-4, -4], [-3, -3]]]], [[4, 15, 3, 2, 3], [v = -1, 3^
(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [-4, -4], [0, 0]]]], [[4, 15, 3, 2
, 4], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [-4, -4], [3, 3]]]], [[4, 15, 3, 2
, 5], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, u < z], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [-4, -4], [4, 4]]]], [[5, 5, 4, 5,
1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u
^2-v^2), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [-2, -2]]]], [[
5, 5, 4, 5, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And
(0 < y,y < u^2-v^2), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152]
, [-7492423/8388608, -3746211/4194304]]]], [[5, 5, 4, 5, 3], [And(-1 < v,v < 0
), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), And(-(1-y)^(
1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [-3/8388608, -3
/8388608]]]], [[5, 5, 4, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [424157/2097152, 424157
/2097152], [117069/131072, 936553/1048576]]]], [[5, 5, 4, 5, 5], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-1, -1], [424157/2097152, 424157/2097152], [2, 2]]]], [[5, 7, 4, 9, 1], [And(
-1 < v,v < 0), And(v < u,u < -v), x = -1, 1 < y, z = z], [regular_chain, [[-1/
2, -1/2], [0, 0], [-1, -1], [2, 2], [0, 0]]]], [[5, 8, 6, 5, 1], [And(-1 < v,v
< 0), u = -v, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2],
[1/2, 1/2], [1, 1], [-1/2, -1/2], [0, 0]]]], [[5, 10, 7, 2, 1], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-\
5/2, -5/2], [-3, -3]]]], [[5, 10, 7, 2, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576,
-741455/524288]]]], [[5, 10, 7, 2, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-5/2, -5/2], [0, 0
]]]], [[5, 10, 7, 2, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x <
1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]],
[[5, 10, 7, 2, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y
= -x-2, 2^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[6, 2, 7, 2, 1], [v = 0, u = -2
^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[6,
2, 7, 2, 2], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)],
[regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-7/2
, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[6, 2, 7, 2, 3], [v = 0, u
= -2^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-7/2,
-7/2], [-1/4194304, -1/4194304]]]], [[6, 2, 7, 2, 4], [v = 0, u = -2^(1/2), 
And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/
1048576]]]], [[6, 2, 7, 2, 5], [v = 0, u = -2^(1/2), And(0 < x,x < 1), y = -x-\
3, 3^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[6, 4, 4, 7, 1], [v = 0, u = -1, x = -1,
1 < y, z = z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [2, 2], [0, 0]]]],
[[6, 8, 8, 6, 1], [v = 0, u = 1, x = 1, y = 0, z = z], [regular_chain, [[0, 0]
, [1, 1], [1, 1], [0, 0], [0, 0]]]], [[6, 10, 5, 7, 1], [v = 0, u = 2^(1/2), 
And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [0, 0]]]], [[7, 4, 6, 4
, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [0, 0]
, [-1, -1]]]], [[7, 4, 6, 4, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0,
y = 0, z = 0], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576]
, [0, 0], [0, 0], [0, 0]]]], [[7, 4, 6, 4, 3], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [0, 0], [0, 0], [1, 1]]]], [[7, 6, 5, 3, 1], [And(0 < v,v <
1), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1], [-2, -2]]]], [
[7, 6, 5, 3, 2], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), And(-1-x < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2]
, [-1, -1], [-1482911/2097152, -741455/1048576]]]], [[7, 6, 5, 3, 3], [And(0 <
v,v < 1), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [
-1, -1], [0, 0]]]], [[7, 6, 5, 3, 4], [And(0 < v,v < 1), u = -v, And(0 < x,x <
1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/
2, -1/2], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [[7, 6, 5, 3
, 5], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1],
[2, 2]]]], [[7, 13, 7, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(0 < x,
x < 1), y = 0, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [1/2, 1/2], [0, 0]
, [0, 0]]]], [[8, 2, 2, 7, 1], [v = 1, u = -3^(1/2), x = -3, 4 < y, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-3, -3], [5, 5]
, [0, 0]]]], [[8, 7, 9, 8, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y
= 0, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0]
]]], [[8, 9, 9, 2, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-2
, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-9/4
, -9/4], [-3, -3]]]], [[8, 9, 9, 2, 2], [v = 1, And(0 < u,u < 1), And(0 < x,x
< 1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2],
[1/2, 1/2], [-9/4, -9/4], [-10837/8192, -1387135/1048576]]]], [[8, 9, 9, 2, 3]
, [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-2, And(-(-u^2+2)^(1/2)
< z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-9
/4, -9/4], [0, 0]]]], [[8, 9, 9, 2, 4], [v = 1, And(0 < u,u < 1), And(0 < x,x
< 1), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [
1/2, 1/2], [-9/4, -9/4], [1387135/1048576, 10837/8192]]]], [[8, 9, 9, 2, 5], [
v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-9/4, -9/4], [3, 3]]]], [[8,
13, 11, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [2, 2], [-6789261/2097152, -6789261/2097152], [-3, -3]]]], [[8, 13,
11, 3, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [2, 2], [-6789261/2097152, -6789261/2097152], [-1166407/1048576, -\
583203/524288]]]], [[8, 13, 11, 3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1
< x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-6789261/
2097152, -6789261/2097152], [0, 0]]]], [[8, 13, 11, 3, 4], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [-6789261/
2097152, -6789261/2097152], [583203/524288, 1166407/1048576]]]], [[8, 13, 11,
3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(-u^2-x < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[2, 2], [-6789261/2097152, -6789261/2097152], [3, 3]]]], [[8, 15, 8, 6, 1], [v
= 1, 3^(1/2) < u, x = 1, y = 0, z = z], [regular_chain, [[1, 1], [3, 3], [1, 1
], [0, 0], [0, 0]]]], [[9, 5, 9, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [
1, 1], [0, 0]]]], [[9, 7, 10, 8, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -
(v^2-1)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [0, 0], [0, 0]
]]], [[9, 9, 3, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [0, 0], [-3, -3]]]], [[9, 9, 3, 4, 2], [And(1 < v,v < 2^(1/
2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y =
0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [-1812519/1048576, -1812519/1048576], [0, 0], [-689305/524288, -1378609/
1048576]]]], [[9, 9, 3, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [0, 0], [0, 0]]]], [[9, 9, 3, 4, 4], [And(
1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [0, 0], [1378609/
1048576, 689305/524288]]]], [[9, 9, 3, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [0, 0], [3, 3]]]], [[9, 11, 2, 5, 1], [And
(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2
*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781
/1048576, -3293561/2097152], [1421595/1048576, 1421595/1048576], [-2, -2]]]],
[[9, 11, 2, 5, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1421595/1048576, 1421595/
1048576], [-485927/1048576, -242963/524288]]]], [[9, 11, 2, 5, 3], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 <
y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1421595/1048576, 1421595/
1048576], [0, 0]]]], [[9, 11, 2, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^
2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [
1421595/1048576, 1421595/1048576], [242963/524288, 485927/1048576]]]], [[9, 11
, 2, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2
-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [1421595/1048576, 1421595/
1048576], [2, 2]]]], [[9, 16, 7, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-1/2, -1/2], [
-1, -1]]]], [[9, 16, 7, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And
(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[9, 16, 7, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x <
1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 1,
4, 7, 1], [v = 2^(1/2), u < -2, x = -1, And(1 < y,y < u^2-2), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [4, 4],
[0, 0]]]], [[10, 5, 3, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2
+1 < x,x < -1), And(0 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [746709/2097152, 746709/2097152], [-2, -2]
]]], [[10, 5, 3, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x
,x < -1), And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [746709/2097152, 746709/2097152], [-1968771/
2097152, -15750167/16777216]]]], [[10, 5, 3, 5, 3], [v = 2^(1/2), And(-3^(1/2)
< u,u < -v), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [
746709/2097152, 746709/2097152], [-7/33554432, -7/33554432]]]], [[10, 5, 3, 5,
4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(0 < y,
y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [746709/2097152, 746709/2097152], [984385/1048576, 492193/524288]]]]
, [[10, 5, 3, 5, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x
< -1), And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [746709/2097152, 746709/2097152], [2, 2]]]], [[10,
7, 4, 4, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = 0, z < -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[10, 7, 4, 4, 2], [v = 2^(1/2), And(
-v < u,u < -1), x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-1,
-1]]]], [[10, 7, 4, 4, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[10, 7, 4, 4
, 4], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = 0, z = 1], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [0, 0], [1, 1]]]], [[10, 7, 4, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), x
= -1, y = 0, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [2, 2]]]], [[10, 12, 7,
1, 1], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1/2, 1/2], [-4, -4]
, [-3, -3]]]], [[10, 12, 7, 1, 2], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y <
-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1, 1], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[10, 12,
7, 1, 3], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1
], [1/2, 1/2], [-4, -4], [0, 0]]]], [[10, 12, 7, 1, 4], [v = 2^(1/2), u = 1, 
And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [1, 1], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/
1048576]]]], [[10, 12, 7, 1, 5], [v = 2^(1/2), u = 1, And(0 < x,x < 1), y < -x
-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1,
1], [1/2, 1/2], [-4, -4], [3, 3]]]], [[10, 14, 6, 2, 1], [v = 2^(1/2), u = v,
x = 1, y = -2, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[10, 14, 6, 2
, 2], [v = 2^(1/2), u = v, x = 1, y = -2, z = -1], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1, 1], [-2, -2],
[-1, -1]]]], [[10, 14, 6, 2, 3], [v = 2^(1/2), u = v, x = 1, y = -2, And(-1 <
z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288,
1482911/1048576], [1, 1], [-2, -2], [0, 0]]]], [[10, 14, 6, 2, 4], [v = 2^(1/2
), u = v, x = 1, y = -2, z = 1], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1, 1]]]], [[10,
14, 6, 2, 5], [v = 2^(1/2), u = v, x = 1, y = -2, 1 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1, 1], [-2
, -2], [2, 2]]]], [[11, 2, 2, 3, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3,
And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288
, -3477733/1048576], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[11, 2, 2, 3, 2], [2^
(1/2) < v, u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3], [3/2, 3
/2], [-1284239/1048576, -642119/524288]]]], [[11, 2, 2, 3, 3], [2^(1/2) < v, u
= -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/
2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-3, -3],
[3/2, 3/2], [0, 0]]]], [[11, 2, 2, 3, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x
= -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/
1048576]]]], [[11, 2, 2, 3, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -3, And(
0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [3/2, 3/2], [3, 3]]]], [[11, 3, 10, 8, 1], [2^(1/2
) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = 0, z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [0, 0],
[0, 0]]]], [[11, 9, 8, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+
1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
533035/1048576, 133259/262144], [-3696259/2097152, -3696259/2097152], [-3, -3]
]]], [[11, 9, 8, 3, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/
2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-3696259/2097152, -3696259/2097152], [-1174299/
1048576, -587149/524288]]]], [[11, 9, 8, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1)
, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [
-3696259/2097152, -3696259/2097152], [0, 0]]]], [[11, 9, 8, 3, 4], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2
< y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-\
3696259/2097152, -3696259/2097152], [587149/524288, 1174299/1048576]]]], [[11,
9, 8, 3, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^
2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-3696259/2097152, -3696259/2097152], [3, 3]]]], [[11
, 11, 5, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-\
1 < x,x < 0), y = -x, z < 0], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [
1/2, 1/2], [-1, -1]]]], [[11, 11, 5, 6, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[3,
3], [0, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[11, 11, 5, 6, 3], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = -x, 0 <
z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11
, 15, 4, 6, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = -u^2+v
^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-1, -1], [133001/262144, 532005/1048576], [-2, -2]]]], [[11
, 15, 4, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = -u^2+v
^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-1, -1], [133001/262144, 532005/1048576], [-735979/1048576,
-1471957/2097152]]]], [[11, 15, 4, 6, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1, -1], [
133001/262144, 532005/1048576], [-1/4194304, -1/4194304]]]], [[11, 15, 4, 6, 4
], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = -u^2+v^2, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
1, -1], [133001/262144, 532005/1048576], [367989/524288, 735979/1048576]]]], [
[11, 15, 4, 6, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, y = -u^
2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-1, -1], [133001/262144, 532005/1048576], [2, 2]]]], [[11,
17, 5, 5, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v
^2-1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
258691/2097152, 258691/2097152], [-2, -2]]]], [[11, 17, 5, 5, 2], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v
^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [258691/2097152, 258691/2097152
], [-3328965/4194304, -832241/1048576]]]], [[11, 17, 5, 5, 3], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2
-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [258691/
2097152, 258691/2097152], [0, 0]]]], [[11, 17, 5, 5, 4], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [258691/2097152, 258691/2097152], [832241/
1048576, 416121/524288]]]], [[11, 17, 5, 5, 5], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1
/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/
2097152, -1579769/2097152], [258691/2097152, 258691/2097152], [2, 2]]]], [[1,
4, 2, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2
)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [-\
1, -1], [-3, -3]]]], [[1, 4, 2, 1, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x =
-2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[
1, 4, 2, 1, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(
1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[1, 4, 2, 1,
4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [-1, -1
], [908093/524288, 1816187/1048576]]]], [[1, 4, 2, 1, 5], [v < -2^(1/2), u = -
(v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-2, -2], [-1, -1], [3, 3]]]], [[1, 6, 1, 2,
1], [v < -2^(1/2), u = v, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
3, -3], [-3, -3], [-2, -2], [0, 0], [-3, -3]]]], [[1, 6, 1, 2, 2], [v < -2^(1/
2), u = v, x < -1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-3, -3
], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[1, 6, 1, 2, 3],
[v < -2^(1/2), u = v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [0, 0], [0, 0]]]], [[1, 6, 1, 2,
4], [v < -2^(1/2), u = v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3
, -3], [-3, -3], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[1, 6
, 1, 2, 5], [v < -2^(1/2), u = v, x < -1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [0, 0], [3, 3]]]], [[1, 11, 7, 8
, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x <
1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [
15/2, 15/2], [0, 0]]]], [[1, 13, 5, 2, 1], [v < -2^(1/2), And((v^2-2)^(1/2) <
u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2
], [-2105901/1048576, -526475/262144], [-3, -3]]]], [[1, 13, 5, 2, 2], [v < -2
^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v
^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-1/2, -1/2], [-2105901/1048576, -526475/262144], [-3321417/
2097152, -415177/262144]]]], [[1, 13, 5, 2, 3], [v < -2^(1/2), And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+
1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-1/2, -1/2], [-2105901/1048576, -526475/262144], [0,
0]]]], [[1, 13, 5, 2, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-\
2105901/1048576, -526475/262144], [415177/262144, 1660709/1048576]]]], [[1, 13
, 5, 2, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 <
x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [-1/2, -1/2], [-2105901/1048576, -526475/
262144], [3, 3]]]], [[1, 17, 7, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(
1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/524288, 66399/524288], [-2, -2]]]], [[1, 17, 7, 7, 2]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(
0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288, 66399/
524288], [-373161/1048576, -46645/131072]]]], [[1, 17, 7, 7, 3], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288, 
66399/524288], [0, 0]]]], [[1, 17, 7, 7, 4], [v < -2^(1/2), And(-v < u,u < (v^
2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/524288, 66399/524288], [46645/131072, 373161/1048576]
]]], [[1, 17, 7, 7, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-
v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [
66399/524288, 66399/524288], [2, 2]]]], [[1, 19, 7, 1, 1], [v < -2^(1/2), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x
-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [129511/524288, 129511/524288], [-4, -4], [-3, -3]]]], [[1, 19, 7, 1
, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u
^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-4, -4], [
-8125459/4194304, -16250917/8388608]]]], [[1, 19, 7, 1, 3], [v < -2^(1/2), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-
x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-4, -4], [
-5/16777216, -5/16777216]]]], [[1, 19, 7, 1, 4], [v < -2^(1/2), And((v^2+1)^(1
/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-
x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
129511/524288, 129511/524288], [-4, -4], [507841/262144, 2031365/1048576]]]],
[[1, 19, 7, 1, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288],
[-4, -4], [3, 3]]]], [[2, 3, 5, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, And(-1 < x,x < 0), u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [2, 2], [
0, 0]]]], [[2, 5, 5, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x
,x < u^2-3), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [-746709/2097152, -746709/2097152], [-3, -3]
]]], [[2, 5, 5, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x <
u^2-3), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [-746709/2097152, -746709/2097152], [-554529
/524288, -1109057/1048576]]]], [[2, 5, 5, 3, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-\
746709/2097152, -746709/2097152], [0, 0]]]], [[2, 5, 5, 3, 4], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-746709/
2097152, -746709/2097152], [1109057/1048576, 554529/524288]]]], [[2, 5, 5, 3,
5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), And(-u^2-x+
1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [-746709/2097152, -746709/2097152], [3, 3]]]], [[2, 6, 5, 3, 1], [v
= -2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[2, 6, 5, 3, 2], [v = -2^(
1/2), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1/2, 1/2], [-1, -1], [-1482911/2097152, -741455/1048576]]]], [[2, 6
, 5, 3, 3], [v = -2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [0,
0]]]], [[2, 6, 5, 3, 4], [v = -2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [741455/1048576,
46341/65536]]]], [[2, 6, 5, 3, 5], [v = -2^(1/2), u = v, And(0 < x,x < 1), And
(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1, -1], [2,
2]]]], [[2, 8, 6, 2, 1], [v = -2^(1/2), u = -1, x = 0, y = -2, z < -2^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-2, -2
], [-3, -3]]]], [[2, 8, 6, 2, 2], [v = -2^(1/2), u = -1, x = 0, y = -2, z = -2
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0]
, [-2, -2], [-1482911/1048576, -741455/524288]]]], [[2, 8, 6, 2, 3], [v = -2^(
1/2), u = -1, x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-2, -2], [0, 0]]]], [[2
, 8, 6, 2, 4], [v = -2^(1/2), u = -1, x = 0, y = -2, z = 2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-2, -2]
, [741455/524288, 1482911/1048576]]]], [[2, 8, 6, 2, 5], [v = -2^(1/2), u = -1
, x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [0, 0], [-2, -2], [3, 3]]]], [[2, 13, 10, 2, 1], [v = -2^(1
/2), And(1 < u,u < -v), x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1,
1], [-5332835/2097152, -2666417/1048576], [-3, -3]]]], [[2, 13, 10, 2, 2], [v
= -2^(1/2), And(1 < u,u < -v), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1, 1], [-5332835/2097152, -2666417/1048576], [-1302471/1048576, -\
651235/524288]]]], [[2, 13, 10, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), x = 1
, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1],
[-5332835/2097152, -2666417/1048576], [0, 0]]]], [[2, 13, 10, 2, 4], [v = -2^(
1/2), And(1 < u,u < -v), x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1,
1], [-5332835/2097152, -2666417/1048576], [651235/524288, 1302471/1048576]]]],
[[2, 13, 10, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y = u^2-4, (-u^2+
3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1, 1], [-5332835/2097152, -2666417/1048576], [3, 3
]]]], [[2, 15, 11, 1, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y < -
u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [2, 2], [-5, -5], [-3, -3]]]], [[
2, 15, 11, 1, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y < -u^2-x+1,
z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[2, 15, 11, 1, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), 1 < x, y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[2, 15, 11, 1, 4], [
v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y < -u^2-x+1, z = (-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[2, 15, 11,
1, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y < -u^2-x+1, (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152
, 3299097/2097152], [2, 2], [-5, -5], [3, 3]]]], [[2, 19, 9, 8, 1], [v = -2^(1
/2), 2 < u, And(1 < x,x < u^2-3), y = u^2-x-3, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [7/2, 7/2], [5/2, 5/2], [0, 0]]]], [
[3, 2, 5, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x <
0), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/2, -5/2], [-\
3, -3]]]], [[3, 2, 5, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/2
, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[3, 2, 5, 2, 3], [And(-2^(1
/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2)
< z,z < 3^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -\
1/4194304]]]], [[3, 2, 5, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2)
, And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2]
, [-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[3, 2, 5, 2, 5], [And(-2
^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[3, 7, 11, 8, 1], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = 0, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [0, 0], [0, 0]]]], [[3, 9, 11, 2, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [2, 2], [-4673615/1048576, -2336807/524288], [-3, -3]]]], [[
3, 9, 11, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-4673615/1048576, -\
2336807/524288], [-410915/262144, -3287319/2097152]]]], [[3, 9, 11, 2, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y
= u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-\
4673615/1048576, -2336807/524288], [-1/4194304, -1/4194304]]]], [[3, 9, 11, 2,
4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 <
x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [2, 2], [-4673615/1048576, -2336807/524288
], [1643659/1048576, 410915/262144]]]], [[3, 9, 11, 2, 5], [And(-2^(1/2) < v,v
< -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [2, 2], [-4673615/1048576, -2336807/524288], [3, 3]]]], [[3, 17, 2, 5, 1
], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(u^2-v^2+1
< y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-4478937/524288, -8957873/1048576], [6194117/524288, 
6194117/524288], [0, 0]]]], [[4, 1, 8, 8, 1], [v = -1, u < -3^(1/2), x = 1, y
= u^2-3, z = z], [regular_chain, [[-1, -1], [-3, -3], [1, 1], [6, 6], [0, 0]]]
], [[4, 7, 4, 7, 1], [v = -1, And(-1 < u,u < 0), x = -1, And(-u^2+1 < y,y < 1)
, z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [7/8,
7/8], [-2, -2]]]], [[4, 7, 4, 7, 2], [v = -1, And(-1 < u,u < 0), x = -1, And(-
u^2+1 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-1, -1], [7/8, 7/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 4, 7, 3], [
v = -1, And(-1 < u,u < 0), x = -1, And(-u^2+1 < y,y < 1), And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [7/8, 7
/8], [0, 0]]]], [[4, 7, 4, 7, 4], [v = -1, And(-1 < u,u < 0), x = -1, And(-u^2
+1 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1,
-1], [7/8, 7/8], [370727/1048576, 46341/131072]]]], [[4, 7, 4, 7, 5], [v = -1,
And(-1 < u,u < 0), x = -1, And(-u^2+1 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [7/8, 7/8], [2, 2]]]], [[4,
9, 4, 1, 1], [v = -1, And(0 < u,u < 1), x = -1, y < u^2-1, z < -(1-y)^(1/2)],
[regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-2, -2], [-3, -3]]]], [[4, 9
, 4, 1, 2], [v = -1, And(0 < u,u < 1), x = -1, y < u^2-1, z = -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 9, 4, 1, 3], [v = -1, And(0 < u,u < 1), x = -1, y <
u^2-1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [1/2
, 1/2], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[4, 9, 4, 1, 4], [v
= -1, And(0 < u,u < 1), x = -1, y < u^2-1, z = (1-y)^(1/2)], [regular_chain, [
[-1, -1], [1/2, 1/2], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]],
[[4, 9, 4, 1, 5], [v = -1, And(0 < u,u < 1), x = -1, y < u^2-1, (1-y)^(1/2) <
z], [regular_chain, [[-1, -1], [1/2, 1/2], [-1, -1], [-2, -2], [3, 3]]]], [[4,
13, 6, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = -u^2, z < -u],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [-\
1297479/524288, -2594957/1048576], [-3, -3]]]], [[4, 13, 6, 2, 2], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = -u^2, z = -u], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [0, 0], [-1297479/524288, -2594957/
1048576], [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 6, 2, 3], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = -u^2, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [-\
1297479/524288, -2594957/1048576], [-1/4194304, -1/4194304]]]], [[4, 13, 6, 2,
4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = -u^2, z = u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [-\
1297479/524288, -2594957/1048576], [412387/262144, 1649549/1048576]]]], [[4, 
13, 6, 2, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = -u^2, u < z],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [-\
1297479/524288, -2594957/1048576], [3, 3]]]], [[4, 15, 3, 7, 1], [v = -1, 3^(1
/2) < u, And(-u^2 < x,x < -1), And(-x < y,y < u^2-x-2), z = z], [regular_chain
, [[-1, -1], [3, 3], [-5, -5], [17/2, 17/2], [0, 0]]]], [[5, 5, 4, 8, 1], [And
(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 1, z < 0], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[1, 1], [-1, -1]]]], [[5, 5, 4, 8, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = -1, y = 1, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [1, 1], [0, 0]]]], [[5, 5, 4, 8, 3], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 1, 0 < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[1, 1], [1, 1]]]], [[5, 7, 5, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [-2, -2]]]],
[[5, 7, 5, 7, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v
^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/
2, -1/2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [-1284239/2097152, -642119/1048576
]]]], [[5, 7, 5, 7, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x <
-u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [0, 0]
]]], [[5, 7, 5, 7, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -
u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [642119/1048576, 80265/131072]
]]], [[5, 7, 5, 7, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -
u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [2, 2]]]], [[5, 8, 5, 5, 1], [
And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]],
[[5, 10, 6, 4, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, y = 0, z < 0]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [0,
0], [-1, -1]]]], [[5, 10, 6, 4, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x =
0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [0, 0], [0, 0], [0, 0]]]], [[5, 10, 6, 4, 3], [And(-1 < v,v < 0), u =
(v^2+1)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [0, 0], [0, 0], [1, 1]]]], [[6, 2, 6, 4, 1], [v = 0,
u = -2^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[0, 0], [-1482911/1048576
, -741455/524288], [0, 0], [0, 0], [-1, -1]]]], [[6, 2, 6, 4, 2], [v = 0, u =
-2^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [0, 0], [0, 0], [0, 0]]]], [[6, 2, 6, 4, 3], [v = 0, u = -2^(1
/2), x = 0, y = 0, 0 < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455
/524288], [0, 0], [0, 0], [1, 1]]]], [[6, 4, 4, 6, 1], [v = 0, u = -1, x = -1,
y = 1, z < 0], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [1, 1], [-1, -1]]]
], [[6, 4, 4, 6, 2], [v = 0, u = -1, x = -1, y = 1, z = 0], [regular_chain, [[
0, 0], [-1, -1], [-1, -1], [1, 1], [0, 0]]]], [[6, 4, 4, 6, 3], [v = 0, u = -1
, x = -1, y = 1, 0 < z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [1, 1],
[1, 1]]]], [[6, 8, 7, 6, 1], [v = 0, u = 1, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [0, 0], [0, 0]]]], [[6, 10, 5, 4,
1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0]
, [-2, -2]]]], [[6, 10, 5, 4, 2], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y =
0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576]
, [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[6, 10, 5, 4,
3], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -\
1/2], [0, 0], [0, 0]]]], [[6, 10, 5, 4, 4], [v = 0, u = 2^(1/2), And(-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911
/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[6, 10, 5,
4, 5], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0]
, [2, 2]]]], [[7, 4, 5, 6, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 <
x,x < 0), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[7, 4, 5, 6, 2], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[1/2, 1/2], [0, 0]]]], [[7, 4, 5, 6, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[7, 6, 5, 2,
1], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]
], [[7, 6, 5, 2, 2], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), y = -1-x, z
= -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [-\
1, -1]]]], [[7, 6, 5, 2, 3], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), y =
-1-x, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2
], [-3/2, -3/2], [0, 0]]]], [[7, 6, 5, 2, 4], [And(0 < v,v < 1), u = -v, And(0
< x,x < 1), y = -1-x, z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2,
1/2], [-3/2, -3/2], [1, 1]]]], [[7, 6, 5, 2, 5], [And(0 < v,v < 1), u = -v, 
And(0 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[7, 13, 8, 4, 1], [And(0 < v,v < 1), (v^
2+2)^(1/2) < u, x = 1, y = -1, z < 0], [regular_chain, [[1/2, 1/2], [3, 3], [1
, 1], [-1, -1], [-1, -1]]]], [[7, 13, 8, 4, 2], [And(0 < v,v < 1), (v^2+2)^(1/
2) < u, x = 1, y = -1, z = 0], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-\
1, -1], [0, 0]]]], [[7, 13, 8, 4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
= 1, y = -1, 0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-1, -1], [1
, 1]]]], [[8, 2, 3, 3, 1], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), And(-x-3
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[8, 2, 3, 3, 2], [v =
1, u = -3^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1/2
, -1/2], [-3315889/2097152, -207243/131072]]]], [[8, 2, 3, 3, 3], [v = 1, u =
-3^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-2, -2], [-1/2, -1/2], [0, 0]]]], [[8, 2, 3, 3, 4], [v = 1, u = -3^(1/2), And
(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1/2, -1/2], [207243/
131072, 1657945/1048576]]]], [[8, 2, 3, 3, 5], [v = 1, u = -3^(1/2), And(-3 <
x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[8, 7,
10, 4, 1], [v = 1, And(-1 < u,u < 0), x = 1, y = -u^2-1, z < u], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-5/4, -5/4], [-2, -2]]]], [[8,
7, 10, 4, 2], [v = 1, And(-1 < u,u < 0), x = 1, y = -u^2-1, z = u], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-5/4, -5/4], [-1/2, -1/2]]]], [
[8, 7, 10, 4, 3], [v = 1, And(-1 < u,u < 0), x = 1, y = -u^2-1, And(u < z,z <
-u)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-5/4, -5/4], [0, 0]]]],
[[8, 7, 10, 4, 4], [v = 1, And(-1 < u,u < 0), x = 1, y = -u^2-1, z = -u], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-5/4, -5/4], [1/2, 1/2]]]], [[8
, 7, 10, 4, 5], [v = 1, And(-1 < u,u < 0), x = 1, y = -u^2-1, -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-5/4, -5/4], [2, 2]]]], [[8, 9,
9, 3, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2
-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-3/
2, -3/2], [-2, -2]]]], [[8, 9, 9, 3, 2], [v = 1, And(0 < u,u < 1), And(0 < x,x
< 1), And(u^2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1]
, [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[8, 9, 9, 3, 3], [v = 1,
And(0 < u,u < 1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2],
[-3/2, -3/2], [0, 0]]]], [[8, 9, 9, 3, 4], [v = 1, And(0 < u,u < 1), And(0 < x
,x < 1), And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[8, 9, 9, 3, 5], [v = 1,
And(0 < u,u < 1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(1/2)
< z], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]]
, [[8, 14, 1, 1, 1], [v = 1, u = 3^(1/2), x < -3, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [-1, -1],
[-4, -4]]]], [[8, 14, 1, 1, 2], [v = 1, u = 3^(1/2), x < -3, y < 0, z = -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4],
[-1, -1], [-146543/65536, -2344687/1048576]]]], [[8, 14, 1, 1, 3], [v = 1, u =
3^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [-1, -1],
[0, 0]]]], [[8, 14, 1, 1, 4], [v = 1, u = 3^(1/2), x < -3, y < 0, z = (-x-y)^(
1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [-\
1, -1], [2344687/1048576, 146543/65536]]]], [[8, 14, 1, 1, 5], [v = 1, u = 3^(
1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-4, -4], [-1, -1], [4, 4]]]], [[8, 15, 8, 9, 1], [v
= 1, 3^(1/2) < u, x = 1, u^2-3 < y, z = z], [regular_chain, [[1, 1], [3, 3], [
1, 1], [7, 7], [0, 0]]]], [[9, 5, 10, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^
2+1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2655491/2097152, -2655491/2097152], [-2, -2]]]], [
[9, 5, 10, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x =
1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-\
2655491/2097152, -2655491/2097152], [-270523/524288, -1082091/2097152]]]], [[9
, 5, 10, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1
, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2655491/2097152, -2655491/2097152], [-1/4194304, -\
1/4194304]]]], [[9, 5, 10, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2655491/2097152, -2655491/2097152], [541045/
1048576, 270523/524288]]]], [[9, 5, 10, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2655491/2097152, -2655491/2097152], [2, 2]]]], [[9
, 7, 10, 9, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1
, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1, 1], [1, 1], [0, 0]]]], [[9, 9, 3, 3, 1
], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2
-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [-1527887/4194304, -1527887/4194304], [-3, -3]]]], [[9, 9,
3, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [-1527887/4194304, -1527887/4194304], [-1516935/1048576, -\
758467/524288]]]], [[9, 9, 3, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/
2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y <
0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-\
1527887/4194304, -1527887/4194304], [0, 0]]]], [[9, 9, 3, 3, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-\
1527887/4194304, -1527887/4194304], [758467/524288, 1516935/1048576]]]], [[9,
9, 3, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [-1527887/4194304, -1527887/4194304], [3, 3]]]], [[9, 11, 1
, 9, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1,
-x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-3, -3], [4, 4], [0, 0]]]], [[9, 16, 7, 1, 1], [And
(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536,
1949649/1048576], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[9, 16, 7, 1, 2], [And(1
< v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]]
, [[9, 16, 7, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x <
1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2]
, [-5, -5], [0, 0]]]], [[9, 16, 7, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)
^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2]
, [-5, -5], [2224365/1048576, 1112183/524288]]]], [[9, 16, 7, 1, 5], [And(1 <
v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [-5, -5], [4, 4]]]], [[10, 1, 3, 9, 1], [v = 2^(
1/2), u < -2, And(-u^2+1 < x,x < -1), u^2-x-3 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [12, 12], [0, 0]]]],
[[10, 5, 3, 4, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x <
-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576],
[0, 0], [-3, -3]]]], [[10, 5, 3, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, And(-u^2+1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [0, 0], [-145801/131072, -1166407/1048576]]]], [[
10, 5, 3, 4, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1
), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [0, 0], [0, 0]]]], [[10, 5, 3, 4, 4], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [0, 0], [1166407/1048576, 
145801/131072]]]], [[10, 5, 3, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [0, 0], [3, 3]]]], [[10, 7, 3, 8, 1], [v = 2^(1/2)
, And(-v < u,u < -1), And(u^2-3 < x,x < -1), y = -x, z < 0], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [166651/131072, 1333209/1048576], [-1, -1]
]]], [[10, 7, 3, 8, 2], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1
), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [
166651/131072, 1333209/1048576], [0, 0]]]], [[10, 7, 3, 8, 3], [v = 2^(1/2), 
And(-v < u,u < -1), And(u^2-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [166651/131072, 1333209/1048576], [1, 1]]]
], [[10, 12, 6, 3, 1], [v = 2^(1/2), u = 1, x = 0, And(-2 < y,y < 0), z < -(-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0], [
-1, -1], [-2, -2]]]], [[10, 12, 6, 3, 2], [v = 2^(1/2), u = 1, x = 0, And(-2 <
y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [0, 0], [-1, -1], [-1, -1]]]], [[10, 12, 6, 3, 3], [v = 2^(1/2), u = 1
, x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0], [-1, -1], [0
, 0]]]], [[10, 12, 6, 3, 4], [v = 2^(1/2), u = 1, x = 0, And(-2 < y,y < 0), z
= (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0,
0], [-1, -1], [1, 1]]]], [[10, 12, 6, 3, 5], [v = 2^(1/2), u = 1, x = 0, And(-\
2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [0, 0], [-1, -1], [2, 2]]]], [[10, 14, 5, 2, 1], [v = 2^(1/2
), u = v, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[741455/524288
, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2]
, [-2, -2]]]], [[10, 14, 5, 2, 2], [v = 2^(1/2), u = v, And(0 < x,x < 1), y =
-1-x, z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[10, 14, 5,
2, 3], [v = 2^(1/2), u = v, And(0 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[10, 14, 5, 2, 4], [v = 2^(1/2
), u = v, And(0 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[741455/524288,
1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2],
[1, 1]]]], [[10, 14, 5, 2, 5], [v = 2^(1/2), u = v, And(0 < x,x < 1), y = -1-x
, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[11, 2, 3, 1, 1], [2^(
1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-2,
-2], [-3, -3]]]], [[11, 2, 3, 1, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3
< x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[11, 2, 3, 1, 3],
[2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-2, -2], [-2, -2], [0, 0]]]], [[11, 2, 3, 1, 4], [2^(1/2) <
v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-2, -2
], [2, 2]]]], [[11, 2, 3, 1, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,
x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-2, -2], [-2, -2], [3, 3]]]], [[11, 3, 10, 9, 1],
[2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, 0 < y, z = z]
, [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1, 1], [1, 1
], [0, 0]]]], [[11, 9, 9, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^
2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
395403/524288, 395403/524288], [-4211799/2097152, -4211799/2097152], [-3, -3]]
]], [[11, 9, 9, 3, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)
), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-4211799/2097152, -4211799/2097152], [-587149/524288,
-1174297/1048576]]]], [[11, 9, 9, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [-4211799/2097152
, -4211799/2097152], [0, 0]]]], [[11, 9, 9, 3, 4], [2^(1/2) < v, And(-(v^2-1)^
(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [-4211799/2097152, -4211799
/2097152], [1174297/1048576, 587149/524288]]]], [[11, 9, 9, 3, 5], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(
u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-\
4211799/2097152, -4211799/2097152], [3, 3]]]], [[11, 11, 5, 9, 1], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), -u^2+v^2-x-1
< y, z = z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [10, 10], [0, 0]]]
], [[11, 15, 5, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,
x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
-3192025/4194304, -399003/524288], [-3, -3]]]], [[11, 15, 5, 2, 2], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [-3192025/4194304, -399003/524288]
, [-1287385/1048576, -160923/131072]]]], [[11, 15, 5, 2, 3], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-3192025
/4194304, -399003/524288], [0, 0]]]], [[11, 15, 5, 2, 4], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
-391287/524288, -391287/524288], [-3192025/4194304, -399003/524288], [160923/
131072, 1287385/1048576]]]], [[11, 15, 5, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [-3192025/4194304, -399003/524288], [3, 3]]]], [[11,
17, 5, 6, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v
^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [258691/
1048576, 64673/262144], [-2, -2]]]], [[11, 17, 5, 6, 2], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [258691/1048576, 64673/262144], [-373161/
524288, -1492643/2097152]]]], [[11, 17, 5, 6, 3], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [258691/1048576, 64673/
262144], [-1/4194304, -1/4194304]]]], [[11, 17, 5, 6, 4], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [258691/1048576, 64673/262144], [746321/
1048576, 373161/524288]]]], [[11, 17, 5, 6, 5], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152
, -1579769/2097152], [258691/1048576, 64673/262144], [2, 2]]]], [[1, 1, 5, 7,
1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < u^2-v
^2-x-1), z = z], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [8, 8], [0
, 0]]]], [[1, 3, 3, 3, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-\
915943/524288, -915943/524288], [-391655/1048576, -391655/1048576], [-3, -3]]]
], [[1, 3, 3, 3, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [-391655/1048576, -391655/1048576], [-763471/524288,
-1526941/1048576]]]], [[1, 3, 3, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811
/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-391655/
1048576, -391655/1048576], [0, 0]]]], [[1, 3, 3, 3, 4], [v < -2^(1/2), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-
x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-391655/1048576
, -391655/1048576], [1526941/1048576, 763471/524288]]]], [[1, 3, 3, 3, 5], [v
< -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-\
391655/1048576, -391655/1048576], [3, 3]]]], [[1, 8, 9, 5, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3
], [-2965821/1048576, -11863283/4194304], [2, 2], [-1, -1], [0, 0]]]], [[1, 10
, 7, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576
], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[1, 10, 7, 1, 2], [v < -2^(1/2), u = -(
v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-5, -5], [-\
1112183/524288, -2224365/1048576]]]], [[1, 10, 7, 1, 3], [v < -2^(1/2), u = -(
v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1
/2], [-5, -5], [0, 0]]]], [[1, 10, 7, 1, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2)
, And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [-5, -5], [2224365/1048576, 
1112183/524288]]]], [[1, 10, 7, 1, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(
0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [-5, -5], [4, 4]]]], [[1, 14,
4, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, 1 < y, z = z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [2, 2],
[0, 0]]]], [[1, 16, 4, 1, 1], [v < -2^(1/2), u = -v, x = 0, y < -1, z < -(-y)^
(1/2)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2], [-3, -3]]]], [[1,
16, 4, 1, 2], [v < -2^(1/2), u = -v, x = 0, y < -1, z = -(-y)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2], [-1482911/1048576, -741455
/524288]]]], [[1, 16, 4, 1, 3], [v < -2^(1/2), u = -v, x = 0, y < -1, And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-2,
-2], [0, 0]]]], [[1, 16, 4, 1, 4], [v < -2^(1/2), u = -v, x = 0, y < -1, z = (
-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[1, 16, 4, 1, 5], [v < -2^(1/2), u = -v, x = 0,
y < -1, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [0, 0], [-2, -2],
[3, 3]]]], [[1, 21, 9, 8, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(1 < x,x <
u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [5, 5], [8, 8]
, [7, 7], [0, 0]]]], [[2, 2, 5, 2, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0
), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-2, -2], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[2, 2, 5, 2, 2], [v = -
2^(1/2), u = -2, And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-5/2, -5/2], [-\
1816187/1048576, -3632373/2097152]]]], [[2, 2, 5, 2, 3], [v = -2^(1/2), u = -2
, And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-5/2, -5/2], [-1
/4194304, -1/4194304]]]], [[2, 2, 5, 2, 4], [v = -2^(1/2), u = -2, And(-1 < x,
x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/1048576
]]]], [[2, 2, 5, 2, 5], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y = -x-3, 3^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1
/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[2, 9, 7, 8, 1], [v = -2^(1/2), And(-1 <
u,u < 0), And(0 < x,x < -u^2+1), y = -u^2-x+1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [3/8, 3/8], [0, 0]
]]], [[2, 11, 5, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y
= u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-1/2, -1/2], [-9/4, -9/4], [-3, -3]]]], [[2, 11, 5, 2, 2
], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = u^2-x-3, z = -(-u^2
+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
-1/2, -1/2], [-9/4, -9/4], [-1738867/1048576, -3477733/2097152]]]], [[2, 11, 5
, 2, 3], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = u^2-x-3, And(
-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [-1/2, -1/2], [-9/4, -9/4], [-1/4194304, -1/
4194304]]]], [[2, 11, 5, 2, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x
< 0), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1/2, -1/2], [-9/4, -9/4], [869433/524288, 
1738867/1048576]]]], [[2, 11, 5, 2, 5], [v = -2^(1/2), And(0 < u,u < 1), And(-\
1 < x,x < 0), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [-9/4, -9/4], [3, 3]]]], [
[2, 17, 2, 6, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = 2*u^2
-4, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [1554043/524288
, 3108087/1048576], [0, 0]]]], [[2, 18, 9, 2, 1], [v = -2^(1/2), u = 2, 1 < x,
y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[2, 2], [2, 2], [-5, -5], [-3, -3]]]], [[2, 18, 9, 2, 2], [v = -2^(1/2), u = 2
, 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[
2, 18, 9, 2, 3], [v = -2^(1/2), u = 2, 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2],
[-5, -5], [-1/4194304, -1/4194304]]]], [[2, 18, 9, 2, 4], [v = -2^(1/2), u = 2
, 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[2, 
18, 9, 2, 5], [v = -2^(1/2), u = 2, 1 < x, y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-5, -5],
[3, 3]]]], [[3, 3, 5, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 5, 5, 3, 1], [And(-2^
(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), 
And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [-1470709/4194304, -1470709/4194304], [-3, -3]]]],
[[3, 5, 5, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 
And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-1470709/4194304, -\
1470709/4194304], [-1108163/1048576, -554081/524288]]]], [[3, 5, 5, 3, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^
2-1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-1470709/4194304, -\
1470709/4194304], [0, 0]]]], [[3, 5, 5, 3, 4], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-\
1470709/4194304, -1470709/4194304], [554081/524288, 1108163/1048576]]]], [[3,
5, 5, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1
< x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-1470709/4194304, -\
1470709/4194304], [3, 3]]]], [[3, 11, 2, 7, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [3, 3], [0, 0]]]], [[3, 13, 3,
8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/
2097152], [1293693/1048576, 646847/524288], [-1, -1]]]], [[3, 13, 3, 8, 2], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [
1293693/1048576, 646847/524288], [0, 0]]]], [[3, 13, 3, 8, 3], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x,
0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [1293693/
1048576, 646847/524288], [1, 1]]]], [[3, 14, 3, 1, 1], [And(-2^(1/2) < v,v < -\
1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[3, 14, 3, 1, 2], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]],
[[3, 14, 3, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x
< -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -\
3/2], [-2, -2], [0, 0]]]], [[3, 14, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2
, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[3, 14, 3, 1, 5], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x
-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[3, 16, 1
, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(-x < y,y <
1-x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [9/2, 9/2], [0, 0]]]], [[4, 4, 1, 1, 1], [v
= -1, u = -2^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-3, -3]]]], [[4,
4, 1, 1, 2], [v = -1, u = -2^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [-1, -\
1], [-2, -2]]]], [[4, 4, 1, 1, 3], [v = -1, u = -2^(1/2), x < -2, y < 0, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0]]]], [[4, 4, 1, 1, 4], [v
= -1, u = -2^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [2, 2]]]], [[4, 4,
1, 1, 5], [v = -1, u = -2^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [-1, -\
1], [3, 3]]]], [[4, 5, 11, 4, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, y
= u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [2, 2], [-5332835/2097152, -2666417/1048576], [-2, -2]]]],
[[4, 5, 11, 4, 2], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, y = u^2-x-2, z =
-(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [2, 2], [-5332835/2097152, -2666417/1048576], [-772605/1048576, -\
1545209/2097152]]]], [[4, 5, 11, 4, 3], [v = -1, And(-2^(1/2) < u,u < -1), 1 <
x, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-5332835/2097152, -\
2666417/1048576], [-1/4194304, -1/4194304]]]], [[4, 5, 11, 4, 4], [v = -1, And
(-2^(1/2) < u,u < -1), 1 < x, y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain
, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-5332835/2097152,
-2666417/1048576], [193151/262144, 772605/1048576]]]], [[4, 5, 11, 4, 5], [v =
-1, And(-2^(1/2) < u,u < -1), 1 < x, y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
5332835/2097152, -2666417/1048576], [2, 2]]]], [[4, 10, 3, 2, 1], [v = -1, u =
1, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-1, -1], [1, 1], [-\
1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[4, 10, 3, 2, 2], [v = -1, u = 1, And(
-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1
/2], [-1/2, -1/2], [-1, -1]]]], [[4, 10, 3, 2, 3], [v = -1, u = 1, And(-1 < x,
x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [-1/2
, -1/2], [-1/2, -1/2], [0, 0]]]], [[4, 10, 3, 2, 4], [v = -1, u = 1, And(-1 <
x,x < 0), y = -1-x, z = 1], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [
-1/2, -1/2], [1, 1]]]], [[4, 10, 3, 2, 5], [v = -1, u = 1, And(-1 < x,x < 0),
y = -1-x, 1 < z], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-1/2, -1/2
], [2, 2]]]], [[4, 12, 4, 3, 1], [v = -1, u = 2^(1/2), x = -1, And(-1 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[4, 12, 4, 3, 2], [v = -1, u =
2^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1, -\
1], [741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-1284239/
1048576, -642119/524288]]]], [[4, 12, 4, 3, 3], [v = -1, u = 2^(1/2), x = -1,
And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [
[4, 12, 4, 3, 4], [v = -1, u = 2^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(
1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1],
[-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[4, 12, 4, 3, 5], [v = -1,
u = 2^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1
, -1], [741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[
5, 2, 4, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, And(1 < y,y <
2), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [3/2, 3/2],
[0, 0]]]], [[5, 4, 2, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, 
And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[5, 4, 2, 3, 2], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2,
-2], [1, 1], [-1, -1]]]], [[5, 4, 2, 3, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(
1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [1
, 1], [0, 0]]]], [[5, 4, 2, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x =
-2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-2, -2], [1, 1], [1, 1]]]], [[5, 4, 2, 3, 5
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-\
2, -2], [1, 1], [2, 2]]]], [[5, 11, 8, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
243021/524288, 486043/1048576], [-4, -4], [-3, -3]]]], [[5, 11, 8, 1, 2], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -\
2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-4, -4], [-\
7887605/4194304, -15775209/8388608]]]], [[5, 11, 8, 1, 3], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And
(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-4, -\
4], [-1/16777216, -1/16777216]]]], [[5, 11, 8, 1, 4], [And(-1 < v,v < 0), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u
^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [243021/524288, 486043/1048576], [-4, -4], [1971901/1048576, 985951/
524288]]]], [[5, 11, 8, 1, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288,
486043/1048576], [-4, -4], [3, 3]]]], [[5, 13, 5, 4, 1], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[5, 13, 5, 4, 2], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[5, 13, 5, 4, 3], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[5, 13
, 5, 4, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z
= (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[5, 13, 5, 4, 5], [And(-1 < v,v < 0), (v^2+2
)^(1/2) < u, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[6, 5, 6, 5, 1], [v = 0, 
And(-1 < u,u < 0), x = u^2-1, And(0 < y,y < -u^2+1), z < -(-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [3/8, 3/8], [-2, -2]]]], [
[6, 5, 6, 5, 2], [v = 0, And(-1 < u,u < 0), x = u^2-1, And(0 < y,y < -u^2+1),
z = -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [
3/8, 3/8], [-1284239/2097152, -642119/1048576]]]], [[6, 5, 6, 5, 3], [v = 0, 
And(-1 < u,u < 0), x = u^2-1, And(0 < y,y < -u^2+1), And(-(-u^2-y+1)^(1/2) < z
,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4],
[3/8, 3/8], [0, 0]]]], [[6, 5, 6, 5, 4], [v = 0, And(-1 < u,u < 0), x = u^2-1,
And(0 < y,y < -u^2+1), z = (-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2,
-1/2], [-3/4, -3/4], [3/8, 3/8], [642119/1048576, 80265/131072]]]], [[6, 5, 6,
5, 5], [v = 0, And(-1 < u,u < 0), x = u^2-1, And(0 < y,y < -u^2+1), (-u^2-y+1)
^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [3/8, 3/8],
[2, 2]]]], [[6, 7, 7, 6, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [0,
0], [-2, -2]]]], [[6, 7, 7, 6, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x <
0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8]
, [0, 0], [-1284239/2097152, -642119/1048576]]]], [[6, 7, 7, 6, 3], [v = 0, 
And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [0, 0], [0, 0]]]], [
[6, 7, 7, 6, 4], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = 0, z = (-
x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [0, 0], [642119/
1048576, 80265/131072]]]], [[6, 7, 7, 6, 5], [v = 0, And(0 < u,u < 1), And(u^2
-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-\
3/8, -3/8], [0, 0], [2, 2]]]], [[6, 11, 6, 2, 1], [v = 0, 2^(1/2) < u, x = 0,
y = -u^2-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [-10
, -10], [-5, -5]]]], [[6, 11, 6, 2, 2], [v = 0, 2^(1/2) < u, x = 0, y = -u^2-1
, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [-10, -10], [-\
3315889/1048576, -207243/65536]]]], [[6, 11, 6, 2, 3], [v = 0, 2^(1/2) < u, x
= 0, y = -u^2-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [
[0, 0], [3, 3], [0, 0], [-10, -10], [0, 0]]]], [[6, 11, 6, 2, 4], [v = 0, 2^(1
/2) < u, x = 0, y = -u^2-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3
], [0, 0], [-10, -10], [207243/65536, 3315889/1048576]]]], [[6, 11, 6, 2, 5],
[v = 0, 2^(1/2) < u, x = 0, y = -u^2-1, (u^2+1)^(1/2) < z], [regular_chain, [[
0, 0], [3, 3], [0, 0], [-10, -10], [5, 5]]]], [[7, 2, 1, 5, 1], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [5/2, 5/2], [-3, -3]]]], [
[7, 2, 1, 5, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4]
, [5/2, 5/2], [-1284239/1048576, -642119/524288]]]], [[7, 2, 1, 5, 3], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4],
[5/2, 5/2], [0, 0]]]], [[7, 2, 1, 5, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2)
, x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[7
, 2, 1, 5, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [
5/2, 5/2], [3, 3]]]], [[7, 7, 8, 4, 1], [And(0 < v,v < 1), And(-v < u,u < v),
x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
0, 0], [0, 0], [-3/4, -3/4], [-2, -2]]]], [[7, 7, 8, 4, 2], [And(0 < v,v < 1),
And(-v < u,u < v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3/4, -3/4], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 7, 8, 4, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
= 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3/4, -3/4], [-1/8388608, -1/
8388608]]]], [[7, 7, 8, 4, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, y
= -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0,
0], [-3/4, -3/4], [908093/1048576, 454047/524288]]]], [[7, 7, 8, 4, 5], [And(0
< v,v < 1), And(-v < u,u < v), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3/4, -3/4], [2, 2]]]], [[7, 9,
9, 5, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/
1048576], [-2, -2]]]], [[7, 9, 9, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2
+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [
-836497/1048576, -836497/1048576], [-572167/1048576, -1144333/2097152]]]], [[7
, 9, 9, 5, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-\
836497/1048576, -836497/1048576], [-1/4194304, -1/4194304]]]], [[7, 9, 9, 5, 4
], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-
v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/1048576], [
286083/524288, 572167/1048576]]]], [[7, 9, 9, 5, 5], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [
1/2, 1/2], [-836497/1048576, -836497/1048576], [2, 2]]]], [[7, 11, 1, 3, 1], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, 
And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [-4, -4], [1611109/2097152, 1611109/2097152],
[-3, -3]]]], [[7, 11, 1, 3, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [
1611109/2097152, 1611109/2097152], [-7540145/4194304, -471259/262144]]]], [[7,
11, 1, 3, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [
1611109/2097152, 1611109/2097152], [0, 0]]]], [[7, 11, 1, 3, 4], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y <
-u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [-4, -4], [1611109/2097152, 1611109/2097152], [471259/262144,
1885037/1048576]]]], [[7, 11, 1, 3, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4],
[1611109/2097152, 1611109/2097152], [3, 3]]]], [[7, 12, 7, 2, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]],
[[7, 12, 7, 2, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y =
-x-3, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-7/
2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[7, 12, 7, 2, 3], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z <
3^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-7/2, -7/2],
[-1/4194304, -1/4194304]]]], [[7, 12, 7, 2, 4], [And(0 < v,v < 1), u = (v^2+2)
^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[7
, 12, 7, 2, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x
-3, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-7/2,
-7/2], [3, 3]]]], [[8, 4, 8, 3, 1], [v = 1, u = -2^(1/2), x = 1, And(-3 < y,y
< -1), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455
/524288], [1, 1], [-2, -2], [-2, -2]]]], [[8, 4, 8, 3, 2], [v = 1, u = -2^(1/2
), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-1, -1]]]], [[8, 4, 8, 3,
3], [v = 1, u = -2^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
1, 1], [-2, -2], [0, 0]]]], [[8, 4, 8, 3, 4], [v = 1, u = -2^(1/2), x = 1, And
(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576
, -741455/524288], [1, 1], [-2, -2], [1, 1]]]], [[8, 4, 8, 3, 5], [v = 1, u =
-2^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1
], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [2, 2]]]], [[8, 6, 6,
7, 1], [v = 1, u = -1, x = 1, 0 < y, z = z], [regular_chain, [[1, 1], [-1, -1]
, [1, 1], [1, 1], [0, 0]]]], [[8, 11, 3, 2, 1], [v = 1, And(1 < u,u < 2^(1/2))
, And(-u^2 < x,x < -1), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [1265743
/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-29957/
131072, -239655/1048576], [-3, -3]]]], [[8, 11, 3, 2, 2], [v = 1, And(1 < u,u
< 2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain, [[1, 1]
, [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
29957/131072, -239655/1048576], [-1265743/1048576, -1265743/1048576]]]], [[8,
11, 3, 2, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x
, And(-u < z,z < u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-29957/131072, -239655/
1048576], [0, 0]]]], [[8, 11, 3, 2, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-u
^2 < x,x < -1), y = -u^2-x, z = u], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-1288231/1048576, -1288231/1048576], [-29957/131072, -\
239655/1048576], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 3, 2, 5], [v
= 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, u < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [-29957/131072, -239655/1048576], [3, 3]]]], [[8, 13, 1, 8,
1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = u^2-x-2, z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [4692109
/1048576, 2346055/524288], [0, 0]]]], [[9, 3, 1, 4, 1], [And(1 < v,v < 2^(1/2)
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-\
1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-4, -4], [797593/524288, 1595187/
1048576], [-3, -3]]]], [[9, 3, 1, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-4, -4], [797593/524288, 1595187/1048576], [-\
3301741/2097152, -825435/524288]]]], [[9, 3, 1, 4, 3], [And(1 < v,v < 2^(1/2))
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4
, -4], [797593/524288, 1595187/1048576], [0, 0]]]], [[9, 3, 1, 4, 4], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [797593/
524288, 1595187/1048576], [825435/524288, 1650871/1048576]]]], [[9, 3, 1, 4, 5
], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u
^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [
797593/524288, 1595187/1048576], [3, 3]]]], [[9, 4, 9, 1, 1], [And(1 < v,v < 2
^(1/2)), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [2, 2], [-5, -5], [-3, -3]]]], [[9, 4, 9, 1, 2], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2
], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[9, 4, 9, 1, 3], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]
], [[9, 4, 9, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, y < -
x-2, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-410915/262144, -3287319/2097152], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[9, 4, 9, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1
< x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [2, 2], [-5, -5], [3, 3]]]], [[9
, 12, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y = 0, z < -(-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[9, 12, 1, 2, 2], [And(1 < v
,v < 2^(1/2)), u = v, x < -1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2
], [0, 0], [-1482911/1048576, -741455/524288]]]], [[9, 12, 1, 2, 3], [And(1 <
v,v < 2^(1/2)), u = v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [0, 0], [0, 0]]]], [[9, 12, 1, 2, 4], [And(1 < v,v < 2^(1/
2)), u = v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[9, 12, 1, 2, 5], [And(1 < v,v < 2^(1/2))
, u = v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [0, 0], [3, 3]
]]], [[9, 14, 1, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y
= -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [3, 3], [-1, -1]]]], [[9, 14, 1, 6, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-3, -3], [3, 3], [0, 0]]]], [[9, 14, 1, 6, 3], [And(1 < v,v < 2^(1/2
)), u = (v^2+1)^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [3, 3],
[1, 1]]]], [[10, 2, 3, 2, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y = -x
-3, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2]
, [-2, -2], [-1, -1], [-3, -3]]]], [[10, 2, 3, 2, 2], [v = 2^(1/2), u = -2, 
And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/
2097152]]]], [[10, 2, 3, 2, 3], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y =
-x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-2, -2], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[10, 2,
3, 2, 4], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [-1, -1]
, [908093/524288, 1816187/1048576]]]], [[10, 2, 3, 2, 5], [v = 2^(1/2), u = -2
, And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [-2, -2], [-1, -1], [3, 3]]]], [[10, 3, 11, 1, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, z < -(-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [2, 2], [-6, -6], [-3, -3]]]], [[10, 3, 11, 1, 2], [v = 2^(1
/2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [2, 2], [-6, -6], [-2, -2]]]], [[10, 3, 11, 1, 3], [v = 2^(1/2), And
(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [2, 2], [-6, -6], [0, 0]]]], [[10, 3, 11, 1, 4], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [2, 2], [-6, -6], [2, 2]]]], [[10, 3, 11, 1, 5], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), 1 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2]
, [-6, -6], [3, 3]]]], [[10, 8, 3, 5, 1], [v = 2^(1/2), u = -1, And(-2 < x,x <
-1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[10, 8, 3,
5, 2], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2,
-3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[10, 8, 3, 5, 3],
[v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1
, -1], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[10, 8, 3, 5, 4
], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2]
, [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[10, 8, 3, 5, 5], [v = 2^(1
/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [3/4
, 3/4], [2, 2]]]], [[10, 10, 1, 7, 1], [v = 2^(1/2), u = 0, x < -3, And(-x < y
,y < 1-x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0],
[-4, -4], [9/2, 9/2], [0, 0]]]], [[10, 15, 9, 1, 1], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), And(0 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2,
1/2], [-3, -3], [-3, -3]]]], [[10, 15, 9, 1, 2], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), And(0 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/
2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[10, 15, 9, 1, 3], [v =
2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-3, -3], [0, 0]]]], [[10, 
15, 9, 1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y < -u^2
-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[10, 15, 9, 1, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(0 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-3,
-3], [3, 3]]]], [[10, 17, 7, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(
0 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/2097152,
505467/2097152], [252733/2097152, 252733/2097152], [0, 0]]]], [[10, 18, 6, 7,
1], [v = 2^(1/2), u = 2, x = 0, 1 < y, z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [2, 2], [0, 0], [2, 2], [0, 0]]]], [[11, 1, 3, 8, 1], [2^(
1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z =
z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [24, 24], [0, 0]]]], [[11, 6,
6, 7, 1], [2^(1/2) < v, u = -v, x = 1, 0 < y, z = z], [regular_chain, [[3, 3],
[-3, -3], [1, 1], [1, 1], [0, 0]]]], [[11, 8, 7, 4, 1], [2^(1/2) < v, u = -(v^
2-1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[
11, 8, 7, 4, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z
= 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/
2], [-1/2, -1/2], [0, 0]]]], [[11, 8, 7, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 12, 5,
1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2
], [-4, -4], [-4, -4]]]], [[11, 12, 5, 1, 2], [2^(1/2) < v, u = (v^2-2)^(1/2),
And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1/2, -1/2], [-4, -4], [-1112183/524288, -\
2224365/1048576]]]], [[11, 12, 5, 1, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(
-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-4, -4],
[0, 0]]]], [[11, 12, 5, 1, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x <
0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[
11, 12, 5, 1, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [
-1/2, -1/2], [-4, -4], [4, 4]]]], [[11, 14, 2, 2, 1], [2^(1/2) < v, u = (v^2-1
)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[11, 14, 2, 2, 2], [2^(1/2
) < v, u = (v^2-1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[11, 14, 2, 2, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2
, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-2, -2], [0, 0], [0, 0]]]], [[11, 14, 2, 2, 4], [2^
(1/2) < v, u = (v^2-1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [-2, -2], [0, 0], [741455/524288, 
1482911/1048576]]]], [[11, 14, 2, 2, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
-2, y = 0, 2^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-2, -2], [0, 0], [3, 3]]]], [[11, 19, 11, 3, 1], [2^(1/2) < v, And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
2, 2], [-1702375/524288, -1702375/524288], [-3, -3]]]], [[11, 19, 11, 3, 2], [
2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288], [-1170947/
1048576, -585473/524288]]]], [[11, 19, 11, 3, 3], [2^(1/2) < v, And((v^2+1)^(1
/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288], [0, 0]]]], [[11,
19, 11, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x,
And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288],
[585473/524288, 1170947/1048576]]]], [[11, 19, 11, 3, 5], [2^(1/2) < v, And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2,
2], [-1702375/524288, -1702375/524288], [3, 3]]]], [[11, 21, 8, 2, 1], [2^(1/2
) < v, (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [1, 1], [-18, -18], [-6, -6]]]], [[11, 21, 8,
2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1, 1], [-18, -18], [-2161695/
524288, -4323389/1048576]]]], [[11, 21, 8, 2, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[3, 3], [5, 5], [1, 1], [-18, -18], [0, 0]]]], [[11, 21, 8,
2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [5, 5], [1, 1], [-18, -18], [4323389/1048576
, 2161695/524288]]]], [[11, 21, 8, 2, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [1
, 1], [-18, -18], [6, 6]]]], [[1, 4, 1, 7, 1], [v < -2^(1/2), u = -(v^2+1)^(1/
2), x < -2, -x < y, z = z], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-3, -3], [4, 4], [0, 0]]]], [[1, 6, 1, 1, 1], [v < -2^(1/2), u
= v, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [
-2, -2], [-1, -1], [-3, -3]]]], [[1, 6, 1, 1, 2], [v < -2^(1/2), u = v, x < -1
, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-\
1, -1], [-1816187/1048576, -3632373/2097152]]]], [[1, 6, 1, 1, 3], [v < -2^(1/
2), u = v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[1, 6, 1, 1, 4], [v < -2^(1/2), u = v, x < -1, y < 0, z = (-x-y)
^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-1, -1], [908093/
524288, 1816187/1048576]]]], [[1, 6, 1, 1, 5], [v < -2^(1/2), u = v, x < -1, y
< 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [-2, -2], [-1, -1
], [3, 3]]]], [[1, 11, 7, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), And(0 < x,x < 1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3,
-3], [0, 0], [1/2, 1/2], [9, 9], [0, 0]]]], [[1, 13, 5, 3, 1], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [-526475/524288, -526475/524288], [-3, -3]]]],
[[1, 13, 5, 3, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-\
526475/524288, -526475/524288], [-1286023/1048576, -643011/524288]]]], [[1, 13
, 5, 3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 <
x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
-526475/524288, -526475/524288], [0, 0]]]], [[1, 13, 5, 3, 4], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 <
y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [-526475/524288, -526475/524288], [643011/
524288, 1286023/1048576]]]], [[1, 13, 5, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-
y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
1/2, -1/2], [-526475/524288, -526475/524288], [3, 3]]]], [[1, 17, 7, 6, 1], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [0, 0], [-2, -2]]]], [[1, 17, 7, 6, 2], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [0, 0], [-527729/1048576, -1055457/2097152
]]]], [[1, 17, 7, 6, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2
-v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/
4194304], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 17, 7, 6, 4], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z = (-x)^(1
/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1062385/
4194304, -1062385/4194304], [0, 0], [32983/65536, 527729/1048576]]]], [[1, 17,
7, 6, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [0, 0], [2, 2]]]], [[1, 19, 6,
7, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, u^2-v^2
-1 < y, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[0, 0], [2, 2], [0, 0]]]], [[2, 3, 6, 1, 1], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), x = 0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [0, 0], [-4, -\
4], [-3, -3]]]], [[2, 3, 6, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x
= 0, y < -u^2+1, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3913339/2097152, -3913339/2097152], [0, 0], [-4, -4], [-2, -2]]]],
[[2, 3, 6, 1, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y < -u^2+1,
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [0, 0], [-4, -4], [0, 0]
]]], [[2, 3, 6, 1, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y < -u^
2+1, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [0, 0], [-4, -4], [2, 2]]]], [[2, 3, 6, 1,
5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y < -u^2+1, (-y)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [0, 0], [-4, -4], [3, 3]]]], [[2, 5, 5, 4, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [0, 0], [-2, -2]]]], [[2
, 5, 5, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [0,
0], [-3662825/4194304, -457853/524288]]]], [[2, 5, 5, 4, 3], [v = -2^(1/2), 
And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [0, 0], [0, 0]
]]], [[2, 5, 5, 4, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x <
u^2-3), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [0, 0], [457853/524288, 915707/1048576]]]], [[2, 5, 5, 4, 5], [v = -
2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = 0, (-x)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [0, 0], [2, 2]]]], [[2,
6, 5, 2, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[2, 6, 5, 2, 2], [v = -2^(1/
2), u = v, And(0 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/
2, -3/2], [-1, -1]]]], [[2, 6, 5, 2, 3], [v = -2^(1/2), u = v, And(0 < x,x < 1
), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/2, -3/2], [0, 0]]
]], [[2, 6, 5, 2, 4], [v = -2^(1/2), u = v, And(0 < x,x < 1), y = -1-x, z = 1]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[2, 6, 5, 2, 5], [v = -2
^(1/2), u = v, And(0 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/
2, -3/2], [2, 2]]]], [[2, 8, 6, 1, 1], [v = -2^(1/2), u = -1, x = 0, y < -2, z
< -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[0, 0], [-3, -3], [-3, -3]]]], [[2, 8, 6, 1, 2], [v = -2^(1/2), u = -1, x = 0,
y < -2, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[2, 8, 6
, 1, 3], [v = -2^(1/2), u = -1, x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0],
[-3, -3], [-1/4194304, -1/4194304]]]], [[2, 8, 6, 1, 4], [v = -2^(1/2), u = -1
, x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[2,
8, 6, 1, 5], [v = -2^(1/2), u = -1, x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-3, -3]
, [3, 3]]]], [[2, 13, 10, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(
u^2-4 < y,y < -u^2), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [-2, -2]
]]], [[2, 13, 10, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(u^2-4 <
y,y < -u^2), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[
2, 13, 10, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(u^2-4 < y,y < -
u^2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2]
, [0, 0]]]], [[2, 13, 10, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(
u^2-4 < y,y < -u^2), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [1, 1]]]
], [[2, 13, 10, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(u^2-4 < y,
y < -u^2), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [2, 2]]]], [[2,
15, 11, 2, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = -u^2-x+1, z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [2, 2], [-1821767/524288, -3643533/1048576]
, [-3, -3]]]], [[2, 15, 11, 2, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 <
x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-1821767/524288,
-3643533/1048576], [-1273381/1048576, -318345/262144]]]], [[2, 15, 11, 2, 3],
[v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2
) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3299097/2097152, 3299097/2097152], [2, 2], [-1821767/524288, -3643533/
1048576], [0, 0]]]], [[2, 15, 11, 2, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [3299097/2097152, 3299097/2097152], [2, 2], [-1821767/
524288, -3643533/1048576], [318345/262144, 1273381/1048576]]]], [[2, 15, 11, 2
, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), 1 < x, y = -u^2-x+1, (u^2-1)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152
, 3299097/2097152], [2, 2], [-1821767/524288, -3643533/1048576], [3, 3]]]], [[
2, 19, 9, 7, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-3), And(0 < y,y < u^2
-x-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7
/2, 7/2], [5/4, 5/4], [0, 0]]]], [[3, 2, 5, 1, 1], [And(-2^(1/2) < v,v < -1),
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[3, 2, 5, 1, 2], [And(
-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365
/1048576]]]], [[3, 2, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2),
And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[3, 2, 5, 1, 4], [And(-2
^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/
524288]]]], [[3, 2, 5, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2]
, [-4, -4], [4, 4]]]], [[3, 7, 11, 9, 1], [And(-2^(1/2) < v,v < -1), And(v < u
,u < -(v^2-1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [1, 1], [0,
0]]]], [[3, 9, 11, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-\
3385383/1048576, -3385383/1048576], [-3, -3]]]], [[3, 9, 11, 3, 2], [And(-2^(1
/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2
-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [2, 2], [-3385383/1048576, -3385383/1048576], [-\
1162243/1048576, -581121/524288]]]], [[3, 9, 11, 3, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [2, 2], [-3385383/1048576, -3385383/
1048576], [0, 0]]]], [[3, 9, 11, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1
)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2]
, [-3385383/1048576, -3385383/1048576], [581121/524288, 1162243/1048576]]]], [
[3, 9, 11, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [-\
3385383/1048576, -3385383/1048576], [3, 3]]]], [[3, 17, 2, 6, 1], [And(-2^(1/2
) < v,v < -1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-4478937/524288
, -8957873/1048576], [7909297/524288, 15818595/1048576], [0, 0]]]], [[4, 1, 8,
9, 1], [v = -1, u < -3^(1/2), x = 1, u^2-3 < y, z = z], [regular_chain, [[-1,
-1], [-3, -3], [1, 1], [7, 7], [0, 0]]]], [[4, 7, 4, 6, 1], [v = -1, And(-1 <
u,u < 0), x = -1, y = -u^2+1, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-1, -1], [3/4, 3/4], [-2, -2]]]], [[4, 7, 4, 6, 2], [v = -1, And(-1 < u,u < 0
), x = -1, y = -u^2+1, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -\
1], [3/4, 3/4], [-1/2, -1/2]]]], [[4, 7, 4, 6, 3], [v = -1, And(-1 < u,u < 0),
x = -1, y = -u^2+1, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2
], [-1, -1], [3/4, 3/4], [0, 0]]]], [[4, 7, 4, 6, 4], [v = -1, And(-1 < u,u <
0), x = -1, y = -u^2+1, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1,
-1], [3/4, 3/4], [1/2, 1/2]]]], [[4, 7, 4, 6, 5], [v = -1, And(-1 < u,u < 0),
x = -1, y = -u^2+1, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1]
, [3/4, 3/4], [2, 2]]]], [[4, 9, 3, 9, 1], [v = -1, And(0 < u,u < 1), And(u^2-\
2 < x,x < -1), -x < y, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8,
-11/8], [3, 3], [0, 0]]]], [[4, 13, 6, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(
1/2)), x = 0, And(-u^2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [0, 0], [-2594957/2097152, -2594957/
2097152], [-3, -3]]]], [[4, 13, 6, 3, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), x = 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [0, 0], [-2594957/2097152, -2594957/2097152
], [-1166407/1048576, -583203/524288]]]], [[4, 13, 6, 3, 3], [v = -1, And(2^(1
/2) < u,u < 3^(1/2)), x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)
^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0
], [-2594957/2097152, -2594957/2097152], [0, 0]]]], [[4, 13, 6, 3, 4], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(-u^2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [-\
2594957/2097152, -2594957/2097152], [583203/524288, 1166407/1048576]]]], [[4,
13, 6, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(-u^2 < y,y < 0
), (-y)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [0, 0], [-2594957/2097152, -2594957/2097152], [3, 3]]]], [[4, 15, 3,
8, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = u^2-x-2, z = z], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [12, 12], [0, 0]]]], [[5, 5, 4, 7,
1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y
,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [-2, -2]]]], [[
5, 5, 4, 7, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And
(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576]
, [-572167/1048576, -1144333/2097152]]]], [[5, 5, 4, 7, 3], [And(-1 < v,v < 0)
, And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 1), And(-(1-y)^(1
/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [-1/4194304, -1/
4194304]]]], [[5, 5, 4, 7, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [736367/1048576, 736367
/1048576], [286083/524288, 572167/1048576]]]], [[5, 5, 4, 7, 5], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-1, -1], [736367/1048576, 736367/1048576], [2, 2]]]], [[5, 7, 5, 6, 1], [And(
-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8]
, [1/8, 1/8], [-2, -2]]]], [[5, 7, 5, 6, 2], [And(-1 < v,v < 0), And(v < u,u <
-v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/8, 1/8], [-1816187/
2097152, -3632373/4194304]]]], [[5, 7, 5, 6, 3], [And(-1 < v,v < 0), And(v < u
,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/
8], [1/8, 1/8], [-1/8388608, -1/8388608]]]], [[5, 7, 5, 6, 4], [And(-1 < v,v <
0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/8, 1/8]
, [908093/1048576, 454047/524288]]]], [[5, 7, 5, 6, 5], [And(-1 < v,v < 0), 
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/8, 1/8], [2
, 2]]]], [[5, 8, 5, 6, 1], [And(-1 < v,v < 0), u = -v, And(0 < x,x < 1), y = 0
, z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0
]]]], [[5, 10, 6, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, 0 < y,
z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0
], [1, 1], [0, 0]]]], [[6, 2, 6, 3, 1], [v = 0, u = -2^(1/2), x = 0, And(-3 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[6, 2, 6, 3, 2], [v = 0, u
= -2^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[0, 0
], [-1482911/1048576, -741455/524288], [0, 0], [-3/2, -3/2], [-1284239/1048576
, -642119/524288]]]], [[6, 2, 6, 3, 3], [v = 0, u = -2^(1/2), x = 0, And(-3 <
y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [0, 0], [-3/2, -3/2], [0, 0]]]], [[6, 2, 6,
3, 4], [v = 0, u = -2^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [-3/2, -3/
2], [642119/524288, 1284239/1048576]]]], [[6, 2, 6, 3, 5], [v = 0, u = -2^(1/2
), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [0, 0], [-3/2, -3/2], [3, 3]]]], [[6, 4, 4,
5, 1], [v = 0, u = -1, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[6, 4, 4
, 5, 2], [v = 0, u = -1, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[6, 4, 4, 5, 3], [v = 0, u = -1, x = -1, And(0 < y,y < 1)
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [
-1, -1], [1/2, 1/2], [0, 0]]]], [[6, 4, 4, 5, 4], [v = 0, u = -1, x = -1, And(
0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [
1/2, 1/2], [741455/1048576, 46341/65536]]]], [[6, 4, 4, 5, 5], [v = 0, u = -1,
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1],
[-1, -1], [1/2, 1/2], [2, 2]]]], [[6, 8, 7, 7, 1], [v = 0, u = 1, And(0 < x,x
< 1), 0 < y, z = z], [regular_chain, [[0, 0], [1, 1], [1/2, 1/2], [1, 1], [0,
0]]]], [[6, 10, 5, 5, 1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[6, 10, 5, 5, 2], [v = 0, u
= 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4,
1/4], [-1/2, -1/2]]]], [[6, 10, 5, 5, 3], [v = 0, u = 2^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4,
1/4], [0, 0]]]], [[6, 10, 5, 5, 4], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 10, 5, 5, 5],
[v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4,
1/4], [2, 2]]]], [[7, 4, 5, 5, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]]
, [[7, 4, 5, 5, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[7, 4,
5, 5, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2]
, [-146543/131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[7
, 4, 5, 5, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072,
-1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[7, 4, 5, 5, 5],
[And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 6, 5, 1, 1], [And(0 < v,v
< 1), u = -v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[7, 6, 5, 1, 2]
, [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [-3315889/
2097152, -207243/131072]]]], [[7, 6, 5, 1, 3], [And(0 < v,v < 1), u = -v, And(
0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [0, 0]]]], [[7
, 6, 5, 1, 4], [And(0 < v,v < 1), u = -v, And(0 < x,x < 1), y < -1-x, z = (-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [
207243/131072, 1657945/1048576]]]], [[7, 6, 5, 1, 5], [And(0 < v,v < 1), u = -
v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [1/2, 1/2], [-3, -3], [3, 3]]]], [[7, 13, 8, 3, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-47/8, -47/8], [-4, -4]]]], [[
7, 13, 8, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 <
y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-\
47/8, -47/8], [-1157597/524288, -2315193/1048576]]]], [[7, 13, 8, 3, 3], [And(
0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1
)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [
-47/8, -47/8], [0, 0]]]], [[7, 13, 8, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2)
< u, x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1
/2, 1/2], [3, 3], [1, 1], [-47/8, -47/8], [2315193/1048576, 1157597/524288]]]]
, [[7, 13, 8, 3, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2
-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1]
, [-47/8, -47/8], [4, 4]]]], [[8, 2, 3, 2, 1], [v = 1, u = -3^(1/2), And(-3 <
x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576
, -3632373/2097152], [-2, -2], [-1, -1], [-3, -3]]]], [[8, 2, 3, 2, 2], [v = 1
, u = -3^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [
[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[8, 2, 3, 2, 3], [v = 1, u = -3^(1/2), And(-3
< x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1]
, [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[8, 2, 3, 2, 4], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y = -
x-3, z = 3^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[8, 2, 3,
2, 5], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -\
1], [3, 3]]]], [[8, 7, 10, 5, 1], [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-1
< y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1]
, [-9/8, -9/8], [-2, -2]]]], [[8, 7, 10, 5, 2], [v = 1, And(-1 < u,u < 0), x =
1, And(-u^2-1 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2,
-1/2], [1, 1], [-9/8, -9/8], [-46341/131072, -370727/1048576]]]], [[8, 7, 10,
5, 3], [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(
1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-\
9/8, -9/8], [0, 0]]]], [[8, 7, 10, 5, 4], [v = 1, And(-1 < u,u < 0), x = 1, 
And(-u^2-1 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/
2], [1, 1], [-9/8, -9/8], [370727/1048576, 46341/131072]]]], [[8, 7, 10, 5, 5]
, [v = 1, And(-1 < u,u < 0), x = 1, And(-u^2-1 < y,y < -1), (-y-1)^(1/2) < z],
[regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-9/8, -9/8], [2, 2]]]], [[8, 9
, 9, 4, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = -u^2-x, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-3/4, -3/4], [-2, -2]]]], [[8
, 9, 9, 4, 2], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = -u^2-x, z = -u]
, [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-3/4, -3/4], [-1/2, -1/2]]
]], [[8, 9, 9, 4, 3], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = -u^2-x,
And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-3/4, -3
/4], [0, 0]]]], [[8, 9, 9, 4, 4], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1),
y = -u^2-x, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-3/4, -3
/4], [1/2, 1/2]]]], [[8, 9, 9, 4, 5], [v = 1, And(0 < u,u < 1), And(0 < x,x <
1), y = -u^2-x, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-3/4
, -3/4], [2, 2]]]], [[8, 13, 11, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
1 < x, 0 < y, z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [2, 2], [1, 1], [0, 0]]]], [[8, 15, 8, 8, 1], [v = 1, 3^(1/2) < u, x
= 1, y = u^2-3, z = z], [regular_chain, [[1, 1], [3, 3], [1, 1], [6, 6], [0, 0
]]]], [[9, 5, 10, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -
v), x = 1, y = -1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [1, 1], [-1, -1], [-1, -1]]]], [[9, 5,
10, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y =
-1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1, 1], [-1, -1], [0, 0]]]], [[9, 5, 10, 6, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -1, 0 < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-1, -1], [1, 1]]]], [[9, 7, 11, 1, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z < -(-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-5, -5], [-3, -3]]]], [[9, 7, 11, 1, 2],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-\
1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 7, 11, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[9, 7, 11,
1, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2
-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-5, -5], [908093/
524288, 1816187/1048576]]]], [[9, 7, 11, 1, 5], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-5, -5], [3, 3]]]], [[9, 9, 3, 2, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-\
95493/131072, -1527887/2097152], [-3, -3]]]], [[9, 9, 3, 2, 2], [And(1 < v,v <
2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1)
, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-95493/
131072, -1527887/2097152], [-410915/262144, -3287319/2097152]]]], [[9, 9, 3, 2
, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(
u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+
v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
-1812519/1048576, -1812519/1048576], [-95493/131072, -1527887/2097152], [-1/
4194304, -1/4194304]]]], [[9, 9, 3, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-\
1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [-1812519/1048576, -1812519/1048576], [-95493/131072, -1527887/2097152],
[1643659/1048576, 410915/262144]]]], [[9, 9, 3, 2, 5], [And(1 < v,v < 2^(1/2))
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^
2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-95493/131072, -\
1527887/2097152], [3, 3]]]], [[9, 11, 1, 8, 1], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3],
[3, 3], [-1, -1]]]], [[9, 11, 1, 8, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [3, 3],
[0, 0]]]], [[9, 11, 1, 8, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x < u^2-v^2-1, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [3, 3], [1, 1]]]
], [[9, 16, 7, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x
< 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]
]], [[9, 16, 7, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x
< 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187
/1048576, -3632373/2097152]]]], [[9, 16, 7, 2, 3], [And(1 < v,v < 2^(1/2)), u
= (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[9, 16, 7, 2
, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3,
z = 3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/
1048576]]]], [[9, 16, 7, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 
And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-7/2, -7/2], [
3, 3]]]], [[10, 1, 4, 1, 1], [v = 2^(1/2), u < -2, x = -1, y < -u^2+2, z < -(1
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1,
-1], [-8, -8], [-4, -4]]]], [[10, 1, 4, 1, 2], [v = 2^(1/2), u < -2, x = -1, y
< -u^2+2, z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [-1, -1], [-8, -8], [-3, -3]]]], [[10, 1, 4, 1, 3], [v = 2^(1/2),
u < -2, x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-8, -8]
, [0, 0]]]], [[10, 1, 4, 1, 4], [v = 2^(1/2), u < -2, x = -1, y < -u^2+2, z =
(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1
, -1], [-8, -8], [3, 3]]]], [[10, 1, 4, 1, 5], [v = 2^(1/2), u < -2, x = -1, y
< -u^2+2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [-1, -1], [-8, -8], [4, 4]]]], [[10, 5, 3, 3, 1], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-248903/
2097152, -248903/2097152], [-3, -3]]]], [[10, 5, 3, 3, 2], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-248903/
2097152, -248903/2097152], [-1221067/1048576, -610533/524288]]]], [[10, 5, 3,
3, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), And(-u^
2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-248903/2097152, -248903/2097152], [0, 0]
]]], [[10, 5, 3, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x
,x < -1), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [-248903/2097152, -248903/2097152], [610533/524288
, 1221067/1048576]]]], [[10, 5, 3, 3, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [-248903/2097152, -248903/
2097152], [3, 3]]]], [[10, 7, 3, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), And(
u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [1093553/1048576, 1093553/
1048576], [-2, -2]]]], [[10, 7, 3, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), 
And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-2666417/2097152, -2666417/2097152], [1093553/1048576, 1093553/
1048576], [-31331/65536, -501295/1048576]]]], [[10, 7, 3, 7, 3], [v = 2^(1/2),
And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [1093553/1048576, 1093553/1048576], [0, 0]]]], [[10, 7, 3, 7, 4], [v
= 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [
1093553/1048576, 1093553/1048576], [501295/1048576, 31331/65536]]]], [[10, 7,
3, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), And(u^2-3 < x,x < -1), And(-u^2-x+
1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [1093553/1048576, 1093553/1048576], [2, 2]]]], [[10, 12, 6, 4, 1], [
v = 2^(1/2), u = 1, x = 0, y = 0, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [0, 0], [0, 0], [-1, -1]]]], [[10, 12, 6, 4, 2], [v
= 2^(1/2), u = 1, x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [0, 0], [0, 0], [0, 0]]]], [[10, 12, 6, 4, 3], [v =
2^(1/2), u = 1, x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911
/1048576], [1, 1], [0, 0], [0, 0], [1, 1]]]], [[10, 14, 5, 3, 1], [v = 2^(1/2)
, u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[10, 14, 5, 3, 2], [v = 2^(1/2),
u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [-1482911/2097152, -741455/1048576]]]], [[10,
14, 5, 3, 3], [v = 2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [0,
0]]]], [[10, 14, 5, 3, 4], [v = 2^(1/2), u = v, And(0 < x,x < 1), And(-1-x < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [741455/1048576, 
46341/65536]]]], [[10, 14, 5, 3, 5], [v = 2^(1/2), u = v, And(0 < x,x < 1), 
And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [2,
2]]]], [[11, 2, 3, 2, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1)
, y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733
/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[11, 2, 3, 2, 2], [2^(1/2) < v, u
= -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[11, 2, 3, 2, 3], [2^(1/2) < v, u = -(v^2+2)^(
1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1, -1
], [-1/4194304, -1/4194304]]]], [[11, 2, 3, 2, 4], [2^(1/2) < v, u = -(v^2+2)^
(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187
/1048576]]]], [[11, 2, 3, 2, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,
x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[11, 3, 11, 1, 1], [2^(1/2)
< v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[2, 2], [-6, -6], [-3, -3]]]], [[11, 3, 11, 1, 2], [2^(1/2) < v, And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-6, -6]
, [-2, -2]]]], [[11, 3, 11, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-6
, -6], [0, 0]]]], [[11, 3, 11, 1, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [
[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-6, -6], [2, 2]]]], [[
11, 3, 11, 1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1
< x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [2, 2], [-6, -6], [3, 3]]]], [[11, 9, 9, 2, 1], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x <
1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-\
1710497/524288, -3420993/1048576], [-3, -3]]]], [[11, 9, 9, 2, 2], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y =
u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [-1710497/524288,
-3420993/1048576], [-3321417/2097152, -415177/262144]]]], [[11, 9, 9, 2, 3], [
2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x
< 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/524288
, 395403/524288], [-1710497/524288, -3420993/1048576], [0, 0]]]], [[11, 9, 9,
2, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-\
1 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-\
1710497/524288, -3420993/1048576], [415177/262144, 1660709/1048576]]]], [[11,
9, 9, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^
2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288
], [-1710497/524288, -3420993/1048576], [3, 3]]]], [[11, 11, 5, 8, 1], [2^(1/2
) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = -u^2+
v^2-x-1, z = z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [17/2, 17/2],
[0, 0]]]], [[11, 15, 5, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And
(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [-399003/1048576, -399003/1048576], [-3, -3]]]], [[11, 15, 5,
3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-399003/
1048576, -399003/1048576], [-278273/262144, -1113091/1048576]]]], [[11, 15, 5,
3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [-399003/1048576, -399003/1048576], [0, 0]]]], [[11, 15, 5, 3,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), 
And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-399003/
1048576, -399003/1048576], [1113091/1048576, 278273/262144]]]], [[11, 15, 5, 3
, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-399003/
1048576, -399003/1048576], [3, 3]]]], [[11, 17, 5, 7, 1], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-1579769/2097152, -1579769/2097152], [1/2, 1/2], [-2, -2]]]], [[11, 17, 5, 7,
2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And
(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/2], [-\
1055459/2097152, -527729/1048576]]]], [[11, 17, 5, 7, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/2], [0,
0]]]], [[11, 17, 5, 7, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [1/2, 1/2], [527729/1048576, 263865/524288]]]], [[11, 17, 5,
7, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1),
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/2
], [2, 2]]]], [[1, 1, 5, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,
x < 0), y = -x, z < 0], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [1/
2, 1/2], [-1, -1]]]], [[1, 1, 5, 6, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And
(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1
/2], [1/2, 1/2], [0, 0]]]], [[1, 1, 5, 6, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2
), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [-5, -5], [-1
/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 3, 3, 2, 1], [v < -2^(1/2), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [-1566621/2097152, -391655
/524288], [-3, -3]]]], [[1, 3, 3, 2, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [-915943/524288, -915943/524288], [-1566621/2097152, -391655/524288], [-\
1655969/1048576, -3311937/2097152]]]], [[1, 3, 3, 2, 3], [v < -2^(1/2), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2
-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3
, -3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288],
[-1566621/2097152, -391655/524288], [-1/4194304, -1/4194304]]]], [[1, 3, 3, 2,
4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-\
1566621/2097152, -391655/524288], [51749/32768, 1655969/1048576]]]], [[1, 3, 3
, 2, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288
], [-1566621/2097152, -391655/524288], [3, 3]]]], [[1, 8, 9, 6, 1], [v < -2^(1
/2), u = -(v^2-1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [2, 2], [0, 0], [0, 0]]]], [[1, 10, 7, 2,
1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2
)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2
], [-7/2, -7/2], [-3, -3]]]], [[1, 10, 7, 2, 2], [v < -2^(1/2), u = -(v^2-2)^(
1/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187/
1048576, -3632373/2097152]]]], [[1, 10, 7, 2, 3], [v < -2^(1/2), u = -(v^2-2)^
(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-\
7/2, -7/2], [-1/4194304, -1/4194304]]]], [[1, 10, 7, 2, 4], [v < -2^(1/2), u =
-(v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-7/2, -7/2], [908093
/524288, 1816187/1048576]]]], [[1, 10, 7, 2, 5], [v < -2^(1/2), u = -(v^2-2)^(
1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[1,
14, 4, 6, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y = 1, z < 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -1], [1, 1],
[-1, -1]]]], [[1, 14, 4, 6, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = -1, y =
1, z = 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1, -\
1], [1, 1], [0, 0]]]], [[1, 14, 4, 6, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x
= -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [-1, -1], [1, 1], [1, 1]]]], [[1, 16, 3, 7, 1], [v < -2^(1/2), u = -
v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-3, -3], [3, 3], [-1/2
, -1/2], [2, 2], [0, 0]]]], [[1, 21, 9, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) <
u, And(1 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3
], [5, 5], [8, 8], [8, 8], [0, 0]]]], [[2, 2, 5, 3, 1], [v = -2^(1/2), u = -2,
And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-5/4, -5/4], [-3,
-3]]]], [[2, 2, 5, 3, 2], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(-x-3 <
y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]
]]], [[2, 2, 5, 3, 3], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(-x-3 < y,
y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[2
, 2, 5, 3, 4], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(-x-3 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -\
2], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[2, 2, 5, 3
, 5], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2
, -1/2], [-5/4, -5/4], [3, 3]]]], [[2, 9, 7, 7, 1], [v = -2^(1/2), And(-1 < u,
u < 0), And(0 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/8, 3/8], [3/16, 3/16],
[0, 0]]]], [[2, 11, 5, 1, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x <
0), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[2, 11, 5, 1
, 2], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y < u^2-x-3, z = -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[2, 11, 5, 1,
3], [v = -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y < u^2-x-3, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[2, 11, 5, 1, 4], [v
= -2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/
2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[2, 11, 5, 1, 5], [v = -2
^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2],
[-4, -4], [4, 4]]]], [[2, 17, 2, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = -u^2+1, 2*u^2-4 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576
], [4, 4], [0, 0]]]], [[2, 18, 9, 3, 1], [v = -2^(1/2), u = 2, 1 < x, And(-x-3
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[2, 18, 9, 3, 2], [v = -2
^(1/2), u = 2, 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-7/2, -7/2], [-1284239
/1048576, -642119/524288]]]], [[2, 18, 9, 3, 3], [v = -2^(1/2), u = 2, 1 < x,
And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-7/2, -7/2], [0, 0]]]]
, [[2, 18, 9, 3, 4], [v = -2^(1/2), u = 2, 1 < x, And(-x-3 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2,
2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[2, 18, 9, 3, 5], [v =
-2^(1/2), u = 2, 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-7/2, -7/
2], [3, 3]]]], [[3, 3, 5, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [1026253/1048576, 513127/524288], [0, 0]]]],
[[3, 5, 5, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 
And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-735355/1048576, -\
1470709/2097152], [-3, -3]]]], [[3, 5, 5, 2, 2], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-\
735355/1048576, -1470709/2097152], [-1270261/1048576, -317565/262144]]]], [[3,
5, 5, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1
< x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-735355/
1048576, -1470709/2097152], [0, 0]]]], [[3, 5, 5, 2, 4], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-\
1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [-735355/1048576, -1470709/2097152], [317565/262144, 1270261/1048576
]]]], [[3, 5, 5, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-735355/1048576, -\
1470709/2097152], [3, 3]]]], [[3, 11, 3, 1, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-2, -2], [-3,
-3]]]], [[3, 11, 3, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u
< -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-2, -2], [-950285/524288, -\
7602279/4194304]]]], [[3, 11, 3, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [-2, -2], [-3/8388608, -3/8388608]]]], [[3, 11, 3, 1, 4], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y <
u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [-2, -2], [1900569/1048576, 950285/524288]]]], [[3, 11, 3, 1, 5], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [-2, -2], [3, 3]]]], [[3, 13, 3, 9, 1], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), -x < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [3, 3], [0, 0]]]], [[3
, 14, 3, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -\
1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/2, -1/2], [-3, -\
3]]]], [[3, 14, 3, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2
< x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/2, -1/2]
, [-1482911/1048576, -741455/524288]]]], [[3, 14, 3, 2, 3], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z <
2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[3, 14, 3, 2,
4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2
, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 
1482911/1048576]]]], [[3, 14, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [
-1/2, -1/2], [3, 3]]]], [[3, 16, 1, 8, 1], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [5, 5], [0, 0]]]]
, [[4, 3, 11, 9, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, 0 < y, z
= z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [2, 2],
[1, 1], [0, 0]]]], [[4, 5, 11, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x
, And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [-2, -2]]]], [[4, 5, 11, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), 1
< x, And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [2, 2], [-12582911/4194304, -12582911
/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[4, 5, 11, 3,
3], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x < y,y < u^2-x-2), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [2, 2], [-12582911/4194304, -12582911/4194304], [-\
3670015/8796093022208, -3670015/8796093022208]]]], [[4, 5, 11, 3, 4], [v = -1,
And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
12582911/4194304, -12582911/4194304], [1048575/1048576, 1]]]], [[4, 5, 11, 3,
5], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, And(-u^2-x < y,y < u^2-x-2), (-x
-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [2, 2], [-12582911/4194304, -12582911/4194304], [2, 2]]]], [[4, 10, 3, 3, 1
], [v = -1, u = 1, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[
4, 10, 3, 3, 2], [v = -1, u = 1, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-1/4, -1/4],
[-1816187/2097152, -3632373/4194304]]]], [[4, 10, 3, 3, 3], [v = -1, u = 1, 
And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608
, -1/8388608]]]], [[4, 10, 3, 3, 4], [v = -1, u = 1, And(-1 < x,x < 0), And(-1
-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1
/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]]], [[4, 10, 3, 3, 5], [v =
-1, u = 1, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[4,
12, 4, 4, 1], [v = -1, u = 2^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[4,
12, 4, 4, 2], [v = -1, u = 2^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[4,
12, 4, 4, 3], [v = -1, u = 2^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0],
[0, 0]]]], [[4, 12, 4, 4, 4], [v = -1, u = 2^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0],
[1, 1]]]], [[4, 12, 4, 4, 5], [v = -1, u = 2^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [0, 0],
[2, 2]]]], [[5, 2, 4, 6, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y
= 1, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1, 1], [-\
1, -1]]]], [[5, 2, 4, 6, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y
= 1, z = 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1, 1], [0
, 0]]]], [[5, 2, 4, 6, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = -1, y =
1, 0 < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [-1, -1], [1, 1], [1,
1]]]], [[5, 4, 2, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, y = 0
, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-2, -2], [0, 0], [-3, -3]]]], [[5, 4, 2, 2, 2], [And(-1 < v,v < 0),
u = -(v^2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2
], [-146543/131072, -1172343/1048576], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[5, 4, 2, 2, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x
= -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-2, -2], [0, 0], [0, 0]]]], [[5, 4, 2, 2, 4
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [0
, 0], [741455/524288, 1482911/1048576]]]], [[5, 4, 2, 2, 5], [And(-1 < v,v < 0
), u = -(v^2+1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [-146543/131072, -1172343/1048576], [-2, -2], [0, 0], [3, 3]]]], [[5, 11,
8, 2, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^
2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-\
6138473/2097152, -24553891/8388608], [-3, -3]]]], [[5, 11, 8, 2, 2], [And(-1 <
v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+
2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [243021/524288, 486043/1048576], [-6138473/2097152, -24553891/
8388608], [-3291611/2097152, -1645805/1048576]]]], [[5, 11, 8, 2, 3], [And(-1
< v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^
2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576],
[-6138473/2097152, -24553891/8388608], [0, 0]]]], [[5, 11, 8, 2, 4], [And(-1 <
v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+
2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [243021/524288, 486043/1048576], [-6138473/2097152, -24553891/
8388608], [1645805/1048576, 822903/524288]]]], [[5, 11, 8, 2, 5], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*
v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [243021/524288, 486043/1048576], [-6138473/2097152, -24553891/
8388608], [3, 3]]]], [[5, 13, 5, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[5, 13, 5, 5, 2], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [1/4, 1
/4], [-1/2, -1/2]]]], [[5, 13, 5, 5, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]]
, [[5, 13, 5, 5, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [
-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[5, 13, 5, 5, 5], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[6
, 5, 6, 4, 1], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = 0, z < -(-u^2+1)^(1/2
)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [0, 0], [-2, -2]]]],
[[6, 5, 6, 4, 2], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = 0, z = -(-u^2+1)^(
1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [0, 0], [-1816187/
2097152, -3632373/4194304]]]], [[6, 5, 6, 4, 3], [v = 0, And(-1 < u,u < 0), x
= u^2-1, y = 0, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [regular_chain,
[[0, 0], [-1/2, -1/2], [-3/4, -3/4], [0, 0], [-1/8388608, -1/8388608]]]], [[6,
5, 6, 4, 4], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = 0, z = (-u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [0, 0], [908093/1048576,
454047/524288]]]], [[6, 5, 6, 4, 5], [v = 0, And(-1 < u,u < 0), x = u^2-1, y =
0, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [
0, 0], [2, 2]]]], [[6, 7, 7, 5, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x
< 0), And(u^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/
2, 1/2], [-3/8, -3/8], [-3/16, -3/16], [-2, -2]]]], [[6, 7, 7, 5, 2], [v = 0,
And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(u^2-x-1 < y,y < 0), z = -(-x-y)^(1
/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-3/16, -3/16], [-3/4
, -3/4]]]], [[6, 7, 7, 5, 3], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0),
And(u^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-3/16, -3/16], [0, 0]]]], [
[6, 7, 7, 5, 4], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(u^2-x-1 <
y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8]
, [-3/16, -3/16], [3/4, 3/4]]]], [[6, 7, 7, 5, 5], [v = 0, And(0 < u,u < 1), 
And(u^2-1 < x,x < 0), And(u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-3/16, -3/16], [2, 2]]]], [
[6, 11, 6, 3, 1], [v = 0, 2^(1/2) < u, x = 0, And(-u^2-1 < y,y < 0), z < -(-y)
^(1/2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [-5, -5], [-4, -4]]]], [[6,
11, 6, 3, 2], [v = 0, 2^(1/2) < u, x = 0, And(-u^2-1 < y,y < 0), z = -(-y)^(1/
2)], [regular_chain, [[0, 0], [3, 3], [0, 0], [-5, -5], [-146543/65536, -\
2344687/1048576]]]], [[6, 11, 6, 3, 3], [v = 0, 2^(1/2) < u, x = 0, And(-u^2-1
< y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [3,
3], [0, 0], [-5, -5], [0, 0]]]], [[6, 11, 6, 3, 4], [v = 0, 2^(1/2) < u, x = 0
, And(-u^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [0,
0], [-5, -5], [2344687/1048576, 146543/65536]]]], [[6, 11, 6, 3, 5], [v = 0, 2
^(1/2) < u, x = 0, And(-u^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[0
, 0], [3, 3], [0, 0], [-5, -5], [4, 4]]]], [[7, 2, 1, 6, 1], [And(0 < v,v < 1)
, u = -(v^2+2)^(1/2), x < -3, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-3
/2, -3/2], [-4, -4], [4, 4], [-1, -1]]]], [[7, 2, 1, 6, 2], [And(0 < v,v < 1),
u = -(v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-3/2
, -3/2], [-4, -4], [4, 4], [0, 0]]]], [[7, 2, 1, 6, 3], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [-4, -4], [4, 4], [1, 1]]]], [[7, 7, 8, 3, 1], [And(0 < v,v < 1), And(-v
< u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z < -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-1, -1], [-2, -2]]]], [[7, 7, 8,
3, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2
+v^2-1), z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-1, -\
1], [-1, -1]]]], [[7, 7, 8, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = 0
, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-1, -1], [0, 0]]]], [[7, 7, 8, 3,
4], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^
2-1), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-1, -1],
[1, 1]]]], [[7, 7, 8, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, And(
u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
0, 0], [0, 0], [-1, -1], [2, 2]]]], [[7, 9, 9, 4, 1], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2,
1/2], [-1148707/1048576, -574353/524288], [-2, -2]]]], [[7, 9, 9, 4, 2], [And(
0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [-1618333/
2097152, -3236665/4194304]]]], [[7, 9, 9, 4, 3], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [-1/8388608,
-1/8388608]]]], [[7, 9, 9, 4, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/
2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-\
1148707/1048576, -574353/524288], [404583/524288, 809167/1048576]]]], [[7, 9,
9, 4, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y
= u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [2,
2]]]], [[7, 11, 1, 2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [-4, -4], [0, 0], [-3, -3]]]], [[7, 11, 1, 2,
2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-\
1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [0, 0], [-2, -2]]]], [[7, 11, 1, 2, 3], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, And(-(-
x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [0, 0], [0, 0]]]], [[7, 11, 1, 2, 4], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^
(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4],
[0, 0], [2, 2]]]], [[7, 11, 1, 2, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [343151/262144, 343151/262144], [-4, -4], [0, 0], [3, 3]]]], [[7,
12, 7, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3
, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-5
, -5], [-4, -4]]]], [[7, 12, 7, 1, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 
And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
3/2, 3/2], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[7,
12, 7, 1, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [1/2, 1/2], [-5, -5], [0, 0]]]], [[7, 12, 7, 1, 4], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/
524288]]]], [[7, 12, 7, 1, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x
,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2],
[1/2, 1/2], [-5, -5], [4, 4]]]], [[8, 4, 8, 4, 1], [v = 1, u = -2^(1/2), x = 1
, y = -1, z < 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[1, 1], [-1, -1], [-1, -1]]]], [[8, 4, 8, 4, 2], [v = 1, u = -2^(1/2), x = 1,
y = -1, z = 0], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
1, 1], [-1, -1], [0, 0]]]], [[8, 4, 8, 4, 3], [v = 1, u = -2^(1/2), x = 1, y =
-1, 0 < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1
], [-1, -1], [1, 1]]]], [[8, 6, 7, 1, 1], [v = 1, u = -1, 1 < x, y < -1-x, z <
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4], [-3, -3]]
]], [[8, 6, 7, 1, 2], [v = 1, u = -1, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4], [-1482911/1048576, -741455
/524288]]]], [[8, 6, 7, 1, 3], [v = 1, u = -1, 1 < x, y < -1-x, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4
], [0, 0]]]], [[8, 6, 7, 1, 4], [v = 1, u = -1, 1 < x, y < -1-x, z = (-x-y)^(1
/2)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4], [741455/524288, 
1482911/1048576]]]], [[8, 6, 7, 1, 5], [v = 1, u = -1, 1 < x, y < -1-x, (-x-y)
^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-4, -4], [3, 3]]]], [
[8, 11, 3, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < -u
^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-2, -2], [-3, -3]]]], [[8, 11
, 3, 1, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x,
z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1288231/1048576, -1288231/1048576], [-2, -2], [-7536399/4194304, -3768199
/2097152]]]], [[8, 11, 3, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,
x < -1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-2, -2], [-1/4194304, -1/4194304]]]], [[8, 11, 3, 1, 4], [v = 1, 
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [-2, -2], [1884099/1048576, 471025/262144]]]], [[8, 11, 3,
1, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, (-x-y
)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [-2, -2], [3, 3]]]], [[8, 13, 1, 7, 1], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-x < y,y < u^2-x-2), z = z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-4, -4], [
8886413/2097152, 8886413/2097152], [0, 0]]]], [[9, 3, 1, 5, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2
+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [5789491/
2097152, 5789491/2097152], [-3, -3]]]], [[9, 3, 1, 5, 2], [And(1 < v,v < 2^(1/
2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-
x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [5789491/
2097152, 5789491/2097152], [-583671/524288, -1167341/1048576]]]], [[9, 3, 1, 5
, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-4, -4], [5789491/2097152, 5789491/2097152], [0, 0]]]], [
[9, 3, 1, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [5789491/2097152, 5789491/2097152], [1167341/
1048576, 583671/524288]]]], [[9, 3, 1, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [-4, -4], [5789491/2097152, 5789491/
2097152], [3, 3]]]], [[9, 4, 9, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -4], [-3, -\
3]]]], [[9, 4, 9, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, y
= -x-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [2, 2], [-4, -4], [-1482911/1048576, -741455
/524288]]]], [[9, 4, 9, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1
< x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -4
], [0, 0]]]], [[9, 4, 9, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1
< x, y = -x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -4], [741455/524288
, 1482911/1048576]]]], [[9, 4, 9, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)
^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -4], [3, 3]
]]], [[9, 12, 1, 1, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y < 0, z < -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[9, 12, 1, 1, 2],
[And(1 < v,v < 2^(1/2)), u = v, x < -1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[9, 12
, 1, 1, 3], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y < 0, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304
]]]], [[9, 12, 1, 1, 4], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y < 0, z = (-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576
]]]], [[9, 12, 1, 1, 5], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y < 0, (-x-y)
^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[9, 14, 1, 5, 1], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [2, 2], [-2, -2]]]], [[9, 14, 1, 5, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [-3, -3], [2, 2], [-1, -1]]]], [[9, 14, 1, 5, 3], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [2, 2], [0, 0]]]
], [[9, 14, 1, 5, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(
-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [2, 2], [1, 1]]]
], [[9, 14, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, And(
-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [-3, -3], [2, 2], [2, 2]]]
], [[10, 2, 3, 3, 1], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), And(-x-3 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-2, -2], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[10, 2, 3, 3, 2], [v = 2^(1/2),
u = -2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [-1/2, -\
1/2], [-3315889/2097152, -207243/131072]]]], [[10, 2, 3, 3, 3], [v = 2^(1/2),
u = -2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2,
-2], [-1/2, -1/2], [0, 0]]]], [[10, 2, 3, 3, 4], [v = 2^(1/2), u = -2, And(-3
< x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-2, -2], [-1/2, -1/2], [207243/131072, 
1657945/1048576]]]], [[10, 2, 3, 3, 5], [v = 2^(1/2), u = -2, And(-3 < x,x < -\
1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[10, 3, 11, 2,
1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1, z < -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-3, -3]]]], [
[10, 3, 11, 2, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1
, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576
], [-825991/524288, -3303963/2097152]]]], [[10, 3, 11, 2, 3], [v = 2^(1/2), 
And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2
-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-1/
4194304, -1/4194304]]]], [[10, 3, 11, 2, 4], [v = 2^(1/2), And(-2 < u,u < -3^(
1/2)), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2], [-\
1174943/262144, -4699771/1048576], [1651981/1048576, 825991/524288]]]], [[10,
3, 11, 2, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -u^2-x+1, (u^
2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [2, 2], [-1174943/262144, -4699771/1048576], [3, 3
]]]], [[10, 8, 3, 4, 1], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y = 0, z <
-(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3
/2, -3/2], [0, 0], [-3, -3]]]], [[10, 8, 3, 4, 2], [v = 2^(1/2), u = -1, And(-\
2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/
524288]]]], [[10, 8, 3, 4, 3], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-3/2, -3/2], [0, 0], [0, 0]]]], [[10, 8, 3, 4, 4]
, [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [0,
0], [642119/524288, 1284239/1048576]]]], [[10, 8, 3, 4, 5], [v = 2^(1/2), u =
-1, And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [0, 0], [3, 3]]]], [[10, 10,
1, 6, 1], [v = 2^(1/2), u = 0, x < -3, y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-4, -4], [4, 4], [-1, -1]]]], [[10,
10, 1, 6, 2], [v = 2^(1/2), u = 0, x < -3, y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-4, -4], [4, 4], [0, 0]]]], [[10, 10
, 1, 6, 3], [v = 2^(1/2), u = 0, x < -3, y = -x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [-4, -4], [4, 4], [1, 1]]]], [[10, 15
, 9, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -u^2-x
+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1/2, 1/2], [-16565357/8388608, -66261427/
33554432], [-3, -3]]]], [[10, 15, 9, 2, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2
)), And(0 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/2
], [-16565357/8388608, -66261427/33554432], [-1273381/1048576, -318345/262144]
]]], [[10, 15, 9, 2, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1
), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1/
2], [-16565357/8388608, -66261427/33554432], [0, 0]]]], [[10, 15, 9, 2, 4], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -u^2-x+1, z = (u^2-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [1/2, 1/2], [-16565357/8388608, -66261427/33554432], [318345
/262144, 1273381/1048576]]]], [[10, 15, 9, 2, 5], [v = 2^(1/2), And(v < u,u <
3^(1/2)), And(0 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1/2, 1
/2], [-16565357/8388608, -66261427/33554432], [3, 3]]]], [[10, 17, 7, 8, 1], [
v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = u^2-x-3, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339
/2097152], [505467/2097152, 505467/2097152], [252733/1048576, 126367/524288],
[0, 0]]]], [[10, 18, 7, 1, 1], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y < -x-3
, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2
], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[10, 18, 7, 1, 2], [v = 2^(1/2), u = 2,
And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-5, -5], [-1112183/524288, -\
2224365/1048576]]]], [[10, 18, 7, 1, 3], [v = 2^(1/2), u = 2, And(0 < x,x < 1)
, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-5, -5], [0, 0]]]], [[10, 18,
7, 1, 4], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-5, -5
], [2224365/1048576, 1112183/524288]]]], [[10, 18, 7, 1, 5], [v = 2^(1/2), u =
2, And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [1/2, 1/2], [-5, -5], [4, 4]]]], [[11, 1, 3,
9, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x
-1 < y, z = z], [regular_chain, [[3, 3], [-5, -5], [-9, -9], [25, 25], [0, 0]]
]], [[11, 6, 6, 6, 1], [2^(1/2) < v, u = -v, x = 1, y = 0, z = z], [
regular_chain, [[3, 3], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[11, 8, 7, 3, 1]
, [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[11, 8, 7, 3, 2], [2^(1/2) <
v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2
], [-3/2, -3/2], [-1, -1]]]], [[11, 8, 7, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2,
1/2], [-3/2, -3/2], [0, 0]]]], [[11, 8, 7, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(
1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-3
/2, -3/2], [1, 1]]]], [[11, 8, 7, 3, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), And
(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3
], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]],
[[11, 12, 5, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = -x
-3, z < -3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1
/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[11, 12, 5, 2, 2], [2^(1/2) < v, u = (v
^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-5/2, -5/2], [-1816187/
1048576, -3632373/2097152]]]], [[11, 12, 5, 2, 3], [2^(1/2) < v, u = (v^2-2)^(
1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-5/2, -5
/2], [-1/4194304, -1/4194304]]]], [[11, 12, 5, 2, 4], [2^(1/2) < v, u = (v^2-2
)^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 
1816187/1048576]]]], [[11, 12, 5, 2, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(
-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[11, 14, 2, 3, 1
], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1]
, [-2, -2]]]], [[11, 14, 2, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, 
And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144,
2965821/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[11, 14, 2, 3, 3], [2^(1/2)
< v, u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-
y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2
], [1, 1], [0, 0]]]], [[11, 14, 2, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
-2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-2, -2], [1, 1], [1, 1]]]], [[11, 14, 2, 3, 5], [2^
(1/2) < v, u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [1, 1], [2
, 2]]]], [[11, 19, 11, 2, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [2, 2], [-4712349/1048576, -1178087/
262144], [-3, -3]]]], [[11, 19, 11, 2, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [-4712349/
1048576, -1178087/262144], [-1655969/1048576, -3311937/2097152]]]], [[11, 19,
11, 2, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y =
-u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [-4712349/
1048576, -1178087/262144], [-1/4194304, -1/4194304]]]], [[11, 19, 11, 2, 4], [
2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [2, 2], [-4712349/1048576, -1178087/262144], [51749/32768, 1655969/
1048576]]]], [[11, 19, 11, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [-4712349/1048576, -\
1178087/262144], [3, 3]]]], [[11, 21, 8, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [5, 5],
[1, 1], [-19, -19], [-6, -6]]]], [[11, 21, 8, 1, 2], [2^(1/2) < v, (v^2+2)^(1/
2) < u, x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [5
, 5], [1, 1], [-19, -19], [-1112183/262144, -4448731/1048576]]]], [[11, 21, 8,
1, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/
2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [1, 1], [-19, -19]
, [0, 0]]]], [[11, 21, 8, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y < -
u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1, 1], [-19, -\
19], [4448731/1048576, 1112183/262144]]]], [[11, 21, 8, 1, 5], [2^(1/2) < v, (
v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[
3, 3], [5, 5], [1, 1], [-19, -19], [6, 6]]]], [[1, 4, 2, 3, 1], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [1, 1],
[-2, -2]]]], [[1, 4, 2, 3, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, And(
0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576,
-207243/65536], [-2, -2], [1, 1], [-1, -1]]]], [[1, 4, 2, 3, 3], [v < -2^(1/2)
, u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)
^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -\
2], [1, 1], [0, 0]]]], [[1, 4, 2, 3, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x
= -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889
/1048576, -207243/65536], [-2, -2], [1, 1], [1, 1]]]], [[1, 4, 2, 3, 5], [v <
-2^(1/2), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [1, 1],
[2, 2]]]], [[1, 5, 11, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1
< x, 0 < y, z = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [2, 2], [1, 1], [0, 0]]]], [[1, 11, 8, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [1, 1], [-12, -12], [-5, -5]]]], [[1, 11, 8,
1, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y < u^
2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-12,
-12], [-1738867/524288, -3477733/1048576]]]], [[1, 11, 8, 1, 3], [v < -2^(1/2)
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, And(-(-y-1)
^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-12
, -12], [0, 0]]]], [[1, 11, 8, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-\
3, -3], [0, 0], [1, 1], [-12, -12], [3477733/1048576, 1738867/524288]]]], [[1,
11, 8, 1, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
y < u^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [
-12, -12], [5, 5]]]], [[1, 13, 4, 9, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1, -1], [3, 3], [0, 0]]]], [[1, 17, 7, 9, 1
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), -x
< y, z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1062385/4194304, -1062385/4194304], [2, 2], [0, 0]]]], [[1, 19, 6, 6, 1], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = u^2-v^2-1, z =
z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [
129511/262144, 518045/1048576], [0, 0]]]], [[2, 3, 6, 2, 1], [v = -2^(1/2), 
And(-2 < u,u < -3^(1/2)), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [0, 0], [-650655/262144, -2602619/1048576], [-3, -3]]]], [[2
, 3, 6, 2, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y = -u^2+1, z =
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [0, 0], [-650655/262144, -2602619/1048576]
, [-825991/524288, -3303963/2097152]]]], [[2, 3, 6, 2, 3], [v = -2^(1/2), And(
-2 < u,u < -3^(1/2)), x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [0, 0], [-650655/262144, -2602619/1048576], [-1/4194304, -1
/4194304]]]], [[2, 3, 6, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0
, y = -u^2+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [0, 0], [-650655/262144, -\
2602619/1048576], [1651981/1048576, 825991/524288]]]], [[2, 3, 6, 2, 5], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [0, 0], [-650655/262144, -2602619/1048576], [3, 3]]]], [[2,
5, 5, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y
< -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [-2, -2], [-3, -3]]]], [[2, 5, 5, 1, 2], [v = -2^(1/2), And(-3^(1/2)
< u,u < v), And(-1 < x,x < u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [-2, -2], [-3485709/
2097152, -871427/524288]]]], [[2, 5, 5, 1, 3], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), And(-1 < x,x < u^2-3), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-2, -2], [0,
0]]]], [[2, 5, 5, 1, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x
< u^2-3), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [-2, -2], [871427/524288, 1742855/1048576]]]], [[2, 5, 5, 1,
5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y < -u^2-x+
1, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-2, -\
2], [3, 3]]]], [[2, 6, 5, 5, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1), And(-
x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 8,
5, 7, 1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [2
, 2], [0, 0]]]], [[2, 13, 10, 4, 1], [v = -2^(1/2), And(1 < u,u < -v), x = 1,
y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -\
763943/524288], [-2, -2]]]], [[2, 13, 10, 4, 2], [v = -2^(1/2), And(1 < u,u <
-v), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576
, -763943/524288], [-1417877/2097152, -354469/524288]]]], [[2, 13, 10, 4, 3],
[v = -2^(1/2), And(1 < u,u < -v), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z <
(u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743
/1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288], [0, 0]
]]], [[2, 13, 10, 4, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, y = -u^2, z
= (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288],
[354469/524288, 708939/1048576]]]], [[2, 13, 10, 4, 5], [v = -2^(1/2), And(1 <
u,u < -v), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1], [-\
1527887/1048576, -763943/524288], [2, 2]]]], [[2, 15, 10, 8, 1], [v = -2^(1/2)
, And(-v < u,u < 3^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [0, 0],
[0, 0]]]], [[2, 19, 10, 1, 1], [v = -2^(1/2), 2 < u, x = u^2-3, y < -2*u^2+4,
z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3, 3], [6, 6], [-15, -15], [-4, -4]]]], [[2, 19, 10, 1, 2], [v = -2^(1/2), 2 <
u, x = u^2-3, y < -2*u^2+4, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [3, 3], [6, 6], [-15, -15], [-3, -3]]]], [[2, 19, 
10, 1, 3], [v = -2^(1/2), 2 < u, x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2
) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [6, 6], [-15, -15], [0, 0]]]], [[2, 19, 10, 1, 4], [v = -2^(1
/2), 2 < u, x = u^2-3, y < -2*u^2+4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [3, 3], [6, 6], [-15, -15], [3, 3]]]], [[2,
19, 10, 1, 5], [v = -2^(1/2), 2 < u, x = u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [6, 6], [-\
15, -15], [4, 4]]]], [[3, 2, 4, 9, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [3, 3], [0, 0]]]], [
[3, 8, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3, -3], [-1, -1], [-3, -3]]]], [[3, 8, 1,
1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y < 0, z = -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [-1, -1], [-2, -2]]]], [[3, 8, 1, 1, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1417877/2097152, -354469/524288], [-3, -3], [-1, -1], [0, 0]]]], [[3, 8, 1,
1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y < 0, z = (-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [-1, -1], [2, 2]]]], [[3, 8, 1, 1, 5], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [-1, -1], [3, 3]]]], [[3, 9, 10, 9, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, 0 < y, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [1, 1
], [0, 0]]]], [[3, 17, 2, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [17, 17], [0, 0
]]]], [[4, 1, 8, 6, 1], [v = -1, u < -3^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[-1, -1], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[4, 7, 4, 9, 1
], [v = -1, And(-1 < u,u < 0), x = -1, 1 < y, z = z], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-1, -1], [2, 2], [0, 0]]]], [[4, 9, 3, 8, 1], [v = -1, And(0
< u,u < 1), And(u^2-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1, -1],
[1/2, 1/2], [-11/8, -11/8], [11/8, 11/8], [-1, -1]]]], [[4, 9, 3, 8, 2], [v =
-1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -x, z = 0], [regular_chain, [
[-1, -1], [1/2, 1/2], [-11/8, -11/8], [11/8, 11/8], [0, 0]]]], [[4, 9, 3, 8, 3
], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [11/8, 11/8], [1, 1]]]],
[[4, 13, 6, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = 0, z < 0]
, [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [0, 0], [0, 0
], [-1, -1]]]], [[4, 13, 6, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x =
0, y = 0, z = 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [0, 0], [0, 0], [0, 0]]]], [[4, 13, 6, 4, 3], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [0, 0], [0, 0], [1, 1]]]], [[4, 15, 3, 5, 1], [v = -1, 3^(1/
2) < u, And(-u^2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [5/2, 5/2], [-3, -3]]]], [[4, 15,
3, 5, 2], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [5/2, 5/2], [-\
3315889/2097152, -207243/131072]]]], [[4, 15, 3, 5, 3], [v = -1, 3^(1/2) < u,
And(-u^2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [5/2, 5/2], [0, 0]]]], [[4,
15, 3, 5, 4], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-5, -5], [5/2, 5/2], [
207243/131072, 1657945/1048576]]]], [[4, 15, 3, 5, 5], [v = -1, 3^(1/2) < u, 
And(-u^2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1, -1], [3, 3], [-5, -5], [5/2, 5/2], [3, 3]]]], [[5, 5, 5, 1, 1], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v
^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2, -2], [-3, -3]]]]
, [[5, 5, 5, 1, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1
< x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-2, -2], [-1753897/1048576, -3507793/2097152]]]], [[5, 5, 5, 1, 3],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1),
y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995
/2097152], [-2, -2], [-1/4194304, -1/4194304]]]], [[5, 5, 5, 1, 4], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2, -2], [219237/
131072, 1753897/1048576]]]], [[5, 5, 5, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-2, -2], [3, 3]]]], [[5, 7, 5, 5, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y
< -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
7/8, -7/8], [1/16, 1/16], [-2, -2]]]], [[5, 7, 5, 5, 2], [And(-1 < v,v < 0), 
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z
= -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [1/16,
1/16], [-3780695/4194304, -7561389/8388608]]]], [[5, 7, 5, 5, 3], [And(-1 < v,
v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-
x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2],
[0, 0], [-7/8, -7/8], [1/16, 1/16], [-5/16777216, -5/16777216]]]], [[5, 7, 5,
5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(
0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0,
0], [-7/8, -7/8], [1/16, 1/16], [945173/1048576, 472587/524288]]]], [[5, 7, 5,
5, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(
0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0,
0], [-7/8, -7/8], [1/16, 1/16], [2, 2]]]], [[5, 8, 5, 7, 1], [And(-1 < v,v < 0
), u = -v, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [1/
2, 1/2], [1/2, 1/2], [1, 1], [0, 0]]]], [[5, 10, 6, 2, 1], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1172343/1048576, 146543/131072], [0, 0], [-2, -2], [-3, -3]]]], [[5, 10, 6,
2, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [-2, -\
2], [-1482911/1048576, -741455/524288]]]], [[5, 10, 6, 2, 3], [And(-1 < v,v <
0), u = (v^2+1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [-2, -\
2], [0, 0]]]], [[5, 10, 6, 2, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0
, y = -2, z = 2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[5, 10
, 6, 2, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, y = -2, 2^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [-2
, -2], [3, 3]]]], [[6, 2, 6, 6, 1], [v = 0, u = -2^(1/2), x = 0, y = 1, z = z]
, [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [0, 0], [1, 1],
[0, 0]]]], [[6, 4, 4, 4, 1], [v = 0, u = -1, x = -1, y = 0, z < -1], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [0, 0], [-2, -2]]]], [[6, 4, 4, 4,
2], [v = 0, u = -1, x = -1, y = 0, z = -1], [regular_chain, [[0, 0], [-1, -1],
[-1, -1], [0, 0], [-1, -1]]]], [[6, 4, 4, 4, 3], [v = 0, u = -1, x = -1, y = 0
, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [0, 0], [0,
0]]]], [[6, 4, 4, 4, 4], [v = 0, u = -1, x = -1, y = 0, z = 1], [regular_chain
, [[0, 0], [-1, -1], [-1, -1], [0, 0], [1, 1]]]], [[6, 4, 4, 4, 5], [v = 0, u
= -1, x = -1, y = 0, 1 < z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [0,
0], [2, 2]]]], [[6, 8, 8, 1, 1], [v = 0, u = 1, x = 1, y < -3, z < -(-y-1)^(1/
2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [-4, -4], [-3, -3]]]], [[6, 8, 8
, 1, 2], [v = 0, u = 1, x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[0
, 0], [1, 1], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[6,
8, 8, 1, 3], [v = 0, u = 1, x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[0, 0], [1, 1], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[6, 8, 8, 1, 4], [v = 0, u = 1, x = 1, y < -3, z = (-y-1)^(1/2)]
, [regular_chain, [[0, 0], [1, 1], [1, 1], [-4, -4], [908093/524288, 1816187/
1048576]]]], [[6, 8, 8, 1, 5], [v = 0, u = 1, x = 1, y < -3, (-y-1)^(1/2) < z]
, [regular_chain, [[0, 0], [1, 1], [1, 1], [-4, -4], [3, 3]]]], [[6, 10, 5, 2,
1], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-5/2,
-5/2], [-3, -3]]]], [[6, 10, 5, 2, 2], [v = 0, u = 2^(1/2), And(-1 < x,x < 0),
y = -x-3, z = -3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/2097152]]]],
[[6, 10, 5, 2, 3], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1
/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[6, 10, 5,
2, 4], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-5/2,
-5/2], [908093/524288, 1816187/1048576]]]], [[6, 10, 5, 2, 5], [v = 0, u = 2^(
1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[7, 4
, 6, 1, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, y < -2, z < -(-y)^(1
/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0],
[-3, -3], [-3, -3]]]], [[7, 4, 6, 1, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2)
, x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[7, 4, 6, 1, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, y
< -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]
], [[7, 4, 6, 1, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, y < -2, z =
(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576],
[0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[7, 4, 6, 1, 5], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [0, 0], [-3, -\
3], [3, 3]]]], [[7, 6, 4, 5, 1], [And(0 < v,v < 1), u = -v, x = 0, 0 < y, z =
z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [1, 1], [0, 0]]]], [[7,
13, 8, 2, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-43/4, -43/
4], [-5, -5]]]], [[7, 13, 8, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x =
1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3
], [1, 1], [-43/4, -43/4], [-1637089/524288, -3274177/1048576]]]], [[7, 13, 8,
2, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3],
[1, 1], [-43/4, -43/4], [0, 0]]]], [[7, 13, 8, 2, 4], [And(0 < v,v < 1), (v^2+
2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [3, 3], [1, 1], [-43/4, -43/4], [3274177/1048576, 1637089/524288]]
]], [[7, 13, 8, 2, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v
^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-\
43/4, -43/4], [5, 5]]]], [[8, 2, 3, 5, 1], [v = 1, u = -3^(1/2), And(-3 < x,x
< -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [-2, -2]]]], [[8, 2, 3,
5, 2], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2,
-2], [1, 1], [-1, -1]]]], [[8, 2, 3, 5, 3], [v = 1, u = -3^(1/2), And(-3 < x,x
< -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1]
, [0, 0]]]], [[8, 2, 3, 5, 4], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [1, 1], [1, 1]]]], [[8, 2, 3, 5, 5], [v = 1, u = -
3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1]
, [2, 2]]]], [[8, 7, 10, 2, 1], [v = 1, And(-1 < u,u < 0), x = 1, y = u^2-3, z
< -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-11/4, -11
/4], [-3, -3]]]], [[8, 7, 10, 2, 2], [v = 1, And(-1 < u,u < 0), x = 1, y = u^2
-3, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-11/
4, -11/4], [-10837/8192, -1387135/1048576]]]], [[8, 7, 10, 2, 3], [v = 1, And(
-1 < u,u < 0), x = 1, y = u^2-3, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))],
[regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-11/4, -11/4], [0, 0]]]], [[8,
7, 10, 2, 4], [v = 1, And(-1 < u,u < 0), x = 1, y = u^2-3, z = (-u^2+2)^(1/2)]
, [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-11/4, -11/4], [1387135/
1048576, 10837/8192]]]], [[8, 7, 10, 2, 5], [v = 1, And(-1 < u,u < 0), x = 1,
y = u^2-3, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1],
[-11/4, -11/4], [3, 3]]]], [[8, 9, 9, 5, 1], [v = 1, And(0 < u,u < 1), And(0 <
x,x < 1), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [1/2, 1/2], [-5/8, -5/8], [-2, -2]]]], [[8, 9, 9, 5, 2], [v = 1, 
And(0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-5/8, -5/8], [-46341/
131072, -370727/1048576]]]], [[8, 9, 9, 5, 3], [v = 1, And(0 < u,u < 1), And(0
< x,x < 1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-5/8, -5/8], [0, 0]]]], [[8,
9, 9, 5, 4], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), And(-u^2-x < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-5/8,
-5/8], [370727/1048576, 46341/131072]]]], [[8, 9, 9, 5, 5], [v = 1, And(0 < u,
u < 1), And(0 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-5/8, -5/8], [2, 2]]]], [[8,
13, 11, 8, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [2, 2], [0, 0], [0
, 0]]]], [[8, 15, 9, 2, 1], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -u^
2-x, z < -u], [regular_chain, [[1, 1], [3, 3], [4, 4], [-13, -13], [-4, -4]]]]
, [[8, 15, 9, 2, 2], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -u^2-x, z
= -u], [regular_chain, [[1, 1], [3, 3], [4, 4], [-13, -13], [-3, -3]]]], [[8,
15, 9, 2, 3], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -u^2-x, And(-u <
z,z < u)], [regular_chain, [[1, 1], [3, 3], [4, 4], [-13, -13], [0, 0]]]], [[8
, 15, 9, 2, 4], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -u^2-x, z = u],
[regular_chain, [[1, 1], [3, 3], [4, 4], [-13, -13], [3, 3]]]], [[8, 15, 9, 2,
5], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -u^2-x, u < z], [
regular_chain, [[1, 1], [3, 3], [4, 4], [-13, -13], [4, 4]]]], [[9, 5, 10, 3,
1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v
^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-8388607/
4194304, -8388607/4194304], [-2, -2]]]], [[9, 5, 10, 3, 2], [And(1 < v,v < 2^(
1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2
), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1, 1], [-8388607/4194304, -8388607/
4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[9, 5, 10, 3,
3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v
^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-8388607/4194304, -8388607/4194304], [-3670015/
8796093022208, -3670015/8796093022208]]]], [[9, 5, 10, 3, 4], [And(1 < v,v < 2
^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2
-2), z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [1, 1], [-8388607/4194304, -8388607/
4194304], [1048575/1048576, 1]]]], [[9, 5, 10, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), (-y-\
1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1, 1], [-8388607/4194304, -8388607/4194304], [2,
2]]]], [[9, 7, 11, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/
2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2
], [-7487867/2097152, -3743933/1048576], [-3, -3]]]], [[9, 7, 11, 2, 2], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [2, 2], [-7487867/2097152, -3743933/
1048576], [-1314069/1048576, -328517/262144]]]], [[9, 7, 11, 2, 3], [And(1 < v
,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-\
7487867/2097152, -3743933/1048576], [0, 0]]]], [[9, 7, 11, 2, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-7487867/2097152, -3743933/1048576], [
328517/262144, 1314069/1048576]]]], [[9, 7, 11, 2, 5], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-7487867/2097152, -3743933/1048576], [3, 3]]]], [[9
, 9, 3, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1812519/1048576,
-1812519/1048576], [-2, -2], [-3, -3]]]], [[9, 9, 3, 1, 2], [And(1 < v,v < 2^(
1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y
< u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-2, -2], [-8098975/
4194304, -16197949/8388608]]]], [[9, 9, 3, 1, 3], [And(1 < v,v < 2^(1/2)), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2
-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-2,
-2], [-5/16777216, -5/16777216]]]], [[9, 9, 3, 1, 4], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-
v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [-1812519/1048576, -1812519/1048576], [-2, -2], [2024743/1048576, 
253093/131072]]]], [[9, 9, 3, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/
2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [-2, -2], [3, 3]]]], [[9, 11, 2, 2, 1], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [0, 0],
[-3, -3]]]], [[9, 11, 2, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781
/1048576, -3293561/2097152], [0, 0], [-1314069/1048576, -328517/262144]]]], [[
9, 11, 2, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^
2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [0, 0], [0, 0]]]], [[9, 11, 2,
2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y
= 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/
2097152], [0, 0], [328517/262144, 1314069/1048576]]]], [[9, 11, 2, 2, 5], [And
(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, (-u^2
+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [0, 0],
[3, 3]]]], [[9, 16, 6, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x =
0, y = 1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853
/65536, 1949649/1048576], [0, 0], [1, 1], [0, 0]]]], [[10, 1, 4, 2, 1], [v = 2
^(1/2), u < -2, x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7, -7], [-4, -4]]]], [[
10, 1, 4, 2, 2], [v = 2^(1/2), u < -2, x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7,
-7], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 4, 2, 3], [v = 2^(1/2)
, u < -2, x = -1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7, -7]
, [-3/8388608, -3/8388608]]]], [[10, 1, 4, 2, 4], [v = 2^(1/2), u < -2, x = -1
, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [-7, -7], [741455/262144, 2965821/1048576]]]], [
[10, 1, 4, 2, 5], [v = 2^(1/2), u < -2, x = -1, y = -u^2+2, (u^2-1)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7,
-7], [4, 4]]]], [[10, 5, 3, 2, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And
(-u^2+1 < x,x < -1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-31113/131072, -248903/1048576], [-3, -3]
]]], [[10, 5, 3, 2, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x
,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [-31113/131072, -248903/1048576], [-636691/524288, -1273381/
1048576]]]], [[10, 5, 3, 2, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u
^2+1 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [-31113/131072, -248903/
1048576], [0, 0]]]], [[10, 5, 3, 2, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-31113/131072, -248903/1048576], [1273381
/1048576, 636691/524288]]]], [[10, 5, 3, 2, 5], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1297479/1048576, -1297479/1048576], [-31113/131072, -248903/
1048576], [3, 3]]]], [[10, 7, 4, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), x =
-1, y < u^2-2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [-3, -3]]]
], [[10, 7, 4, 1, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y < u^2-2, z =
-(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[10, 7, 4, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y <
u^2-2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2],
[-1/4194304, -1/4194304]]]], [[10, 7, 4, 1, 4], [v = 2^(1/2), And(-v < u,u < -\
1), x = -1, y < u^2-2, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [
908093/524288, 1816187/1048576]]]], [[10, 7, 4, 1, 5], [v = 2^(1/2), And(-v <
u,u < -1), x = -1, y < u^2-2, (1-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2,
-2], [3, 3]]]], [[10, 12, 6, 1, 1], [v = 2^(1/2), u = 1, x = 0, y < -2, z < -(
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0],
[-3, -3], [-3, -3]]]], [[10, 12, 6, 1, 2], [v = 2^(1/2), u = 1, x = 0, y < -2,
z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [
0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 12, 6, 1, 3],
[v = 2^(1/2), u = 1, x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [0, 0], [-3, -3], [-\
1/4194304, -1/4194304]]]], [[10, 12, 6, 1, 4], [v = 2^(1/2), u = 1, x = 0, y <
-2, z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[10, 12, 6, 1, 5], [
v = 2^(1/2), u = 1, x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [0, 0], [-3, -3], [3, 3]]]], [[10, 14, 5, 4,
1], [v = 2^(1/2), u = v, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2],
[-1/2, -1/2], [-1, -1]]]], [[10, 14, 5, 4, 2], [v = 2^(1/2), u = v, And(0 < x,
x < 1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[10, 14
, 5, 4, 3], [v = 2^(1/2), u = v, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 2, 2, 6, 1], [2^(1/2) < v
, u = -(v^2+2)^(1/2), x = -3, y = 4, z = z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-3, -3], [4, 4], [0, 0]]]], [[11, 3, 11, 2
, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^
2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576
, -3396811/1048576], [2, 2], [-4712349/1048576, -1178087/262144], [-3, -3]]]],
[[11, 3, 11, 2, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [-4712349/1048576, -1178087/262144
], [-1655969/1048576, -3311937/2097152]]]], [[11, 3, 11, 2, 3], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [2, 2], [-4712349/1048576, -1178087/262144], [-1/
4194304, -1/4194304]]]], [[11, 3, 11, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-\
4712349/1048576, -1178087/262144], [51749/32768, 1655969/1048576]]]], [[11, 3,
11, 2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [2, 2], [-4712349/1048576, -1178087/262144], [3, 3
]]]], [[11, 9, 9, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [395403/524288
, 395403/524288], [-5, -5], [-4, -4]]]], [[11, 9, 9, 1, 2], [2^(1/2) < v, And(
-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2
-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [-5, -5], [-1080317/524288,
-2160633/1048576]]]], [[11, 9, 9, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [-5, -5], [0, 0]]]], [[11,
9, 9, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^
2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-5
, -5], [2160633/1048576, 1080317/524288]]]], [[11, 9, 9, 1, 5], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2
-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [-5, -5], [4, 4]]]], [[11,
11, 6, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0,
y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [0,
0], [-10, -10], [-5, -5]]]], [[11, 11, 6, 2, 2], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [0, 0], [-10, -10], [-3315889/1048576, -207243
/65536]]]], [[11, 11, 6, 2, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-\
2)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^
(1/2))], [regular_chain, [[3, 3], [0, 0], [0, 0], [-10, -10], [0, 0]]]], [[11,
11, 6, 2, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0,
y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [0, 0
], [-10, -10], [207243/65536, 3315889/1048576]]]], [[11, 11, 6, 2, 5], [2^(1/2
) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+
v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [0, 0], [-10, -10], [5, 5]
]]], [[11, 15, 4, 9, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -1, 1
< y, z = z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-1,
-1], [2, 2], [0, 0]]]], [[11, 17, 5, 8, 1], [2^(1/2) < v, And(v < u,u < (v^2+1
)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [197471/
262144, 789885/1048576], [-1, -1]]]], [[11, 17, 5, 8, 2], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, z = 0], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [197471/262144, 789885/1048576], [0, 0]]]], [[11, 17, 5, 8,
3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y =
-x, 0 < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1579769
/2097152, -1579769/2097152], [197471/262144, 789885/1048576], [1, 1]]]], [[1,
1, 5, 9, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2-x-1
< y, z = z], [regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [17, 17], [0,
0]]]], [[1, 3, 3, 1, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [-2, -2], [-3, -3]]]], [[1, 3, 3, 1, 2], [v < -2^(1/2
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y <
-u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [-915943/524288, -915943/524288], [-2, -2], [-4059505/
2097152, -16238019/8388608]]]], [[1, 3, 3, 1, 3], [v < -2^(1/2), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811
/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-2, -2], [-3/
16777216, -3/16777216]]]], [[1, 3, 3, 1, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x
-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
-915943/524288, -915943/524288], [-2, -2], [253719/131072, 2029753/1048576]]]]
, [[1, 3, 3, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [-2, -2], [3, 3]]]], [[1, 8, 9, 7, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [-2965821
/1048576, -11863283/4194304], [2, 2], [1, 1], [0, 0]]]], [[1, 10, 6, 6, 1], [v
< -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y = 1, z = z], [regular_chain, [[-3, -3
], [-5548543/2097152, -2774271/1048576], [0, 0], [1, 1], [0, 0]]]], [[1, 14, 5
, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2
^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -\
1/2], [-3/2, -3/2], [-3, -3]]]], [[1, 14, 5, 2, 2], [v < -2^(1/2), u = (v^2-1)
^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/2, -3/2], [-1482911/
1048576, -741455/524288]]]], [[1, 14, 5, 2, 3], [v < -2^(1/2), u = (v^2-1)^(1/
2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/
2, -3/2], [0, 0]]]], [[1, 14, 5, 2, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/
1048576]]]], [[1, 14, 5, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x
< 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[1, 16, 3, 6, 1], [v
< -2^(1/2), u = -v, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3, -\
3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[1, 16, 3, 6, 2], [v < -2^
(1/2), u = -v, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [
3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 16, 3, 6, 3], [v < -2^(1/2),
u = -v, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [3, 3],
[-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 21, 10, 1, 1], [v < -2^(1/2), (v^2+2
)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [15, 15], [-33, -33], [-6, -6]]]], [[1, 21,
10, 1, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2,
z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [15, 15], [-33,
-33], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 10, 1, 3], [v < -2^(1/2
), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/
2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [15, 15]
, [-33, -33], [0, 0]]]], [[1, 21, 10, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u,
x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
-3, -3], [5, 5], [15, 15], [-33, -33], [4448731/1048576, 1112183/262144]]]], [
[1, 21, 10, 1, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2
+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [15, 15]
, [-33, -33], [6, 6]]]], [[2, 2, 4, 9, 1], [v = -2^(1/2), u = -2, x = -1, 2 <
y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1,
-1], [3, 3], [0, 0]]]], [[2, 9, 8, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0), x
= -u^2+1, y < 2*u^2-4, z < -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4], [-5, -5], [-4, -4]]]], [[2
, 9, 8, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y < 2*u^2-4, z =
-(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2,
-1/2], [3/4, 3/4], [-5, -5], [-2161695/1048576, -1080847/524288]]]], [[2, 9, 8
, 1, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y < 2*u^2-4, And(-(u^2-
y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/4, 3/4], [-5, -5], [0, 0]]]], [[2, 9, 8, 1, 4
], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y < 2*u^2-4, z = (u^2-y-1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4,
3/4], [-5, -5], [1080847/524288, 2161695/1048576]]]], [[2, 9, 8, 1, 5], [v = -
2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y < 2*u^2-4, (u^2-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4],
[-5, -5], [4, 4]]]], [[2, 11, 4, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), x = -\
1, -u^2+2 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1
/2, 1/2], [-1, -1], [3, 3], [0, 0]]]], [[2, 17, 3, 1, 1], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [-3, -3]]]], [[2, 17
, 3, 1, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y <
-u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-2, -2], [-4056255/2097152, -16225019/8388608]]]], [[2, 17, 3, 1, 3
], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-2, -2], [-3/16777216, -3/16777216]]]], [[2, 17, 3, 1, 4],
[v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339
/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [
2028127/1048576, 63379/32768]]]], [[2, 17, 3, 1, 5], [v = -2^(1/2), And(3^(1/2
) < u,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [3, 3]]]], [[2, 18,
8, 7, 1], [v = -2^(1/2), u = 2, x = 1, 0 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [1, 1], [1, 1], [0, 0]]]], [[3, 3, 6
, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-\
1299559/524288, -2599117/1048576], [-3, -3]]]], [[3, 3, 6, 2, 2], [And(-2^(1/2
) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-1299559/524288, -\
2599117/1048576], [-3301741/2097152, -825435/524288]]]], [[3, 3, 6, 2, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y
= -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-1299559/524288, -2599117/1048576], [0, 0]]]], [[3
, 3, 6, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [0
, 0], [-1299559/524288, -2599117/1048576], [825435/524288, 1650871/1048576]]]]
, [[3, 3, 6, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
0, 0], [-1299559/524288, -2599117/1048576], [3, 3]]]], [[3, 5, 5, 1, 1], [And(
-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1)
, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [-2, -2], [-3, -3]]]], [[3, 5, 5, 1, 2], [And(-2^(1/2) < v,v
< -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-
x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304],
[-2, -2], [-3487985/2097152, -217999/131072]]]], [[3, 5, 5, 1, 3], [And(-2^(1/
2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [-2, -2], [0, 0]]]], [[3, 5, 5, 1, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^
2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [-2, -2], [217999/131072, 1743993/1048576]]]], [[3, 5, 5, 1,
5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u
^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [-2, -2], [3, 3]]]], [[3, 11, 3, 2, 1], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y =
u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [-299103/1048576, -149551/524288], [-3, -3]]]], [[3, 11, 3,
2, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1
< x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [-299103/1048576, -149551/524288], [-\
1314069/1048576, -328517/262144]]]], [[3, 11, 3, 2, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1
, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [-299103/1048576, -149551/524288], [0, 0]]
]], [[3, 11, 3, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v
), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-299103/1048576, -149551/
524288], [328517/262144, 1314069/1048576]]]], [[3, 11, 3, 2, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = u^2
-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [-299103/1048576, -149551/524288], [3, 3]]]], [[3, 13, 3, 6,
1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [735353/1048576, 367677/524288], [-2, -2]]
]], [[3, 13, 3, 6, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [735353/1048576, 
367677/524288], [-765155/1048576, -1530309/2097152]]]], [[3, 13, 3, 6, 3], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [735353/1048576, 
367677/524288], [-1/4194304, -1/4194304]]]], [[3, 13, 3, 6, 4], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^
2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [735353/1048576, 367677/524288], [382577/524288, 765155/
1048576]]]], [[3, 13, 3, 6, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [735353/1048576, 
367677/524288], [2, 2]]]], [[3, 14, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[3, 14, 3, 3, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -\
1387135/1048576]]]], [[3, 14, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[3, 14, 3, 3,
4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [-1/4, -1/4], [
1387135/1048576, 10837/8192]]]], [[3, 14, 3, 3, 5], [And(-2^(1/2) < v,v < -1),
u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[3, 16, 1, 5, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[3, 16, 1, 5, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [-1284239/1048576, -\
642119/524288]]]], [[3, 16, 1, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [5/2, 5/2], [0, 0]]]], [[3, 16, 1, 5, 4], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[3, 16,
1, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [121853/65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [3, 3]]]], [[4, 4, 1
, 3, 1], [v = -1, u = -2^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)
], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [1
/2, 1/2], [-3, -3]]]], [[4, 4, 1, 3, 2], [v = -1, u = -2^(1/2), x < -2, And(0
< y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/
131072]]]], [[4, 4, 1, 3, 3], [v = -1, u = -2^(1/2), x < -2, And(0 < y,y < -x-\
2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [0, 0]]]], [[4, 4, 1,
3, 4], [v = -1, u = -2^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [1/2,
1/2], [207243/131072, 1657945/1048576]]]], [[4, 4, 1, 3, 5], [v = -1, u = -2^(
1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [3, 3]]]], [[4, 5
, 11, 2, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, z < u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
3625039/1048576, -1812519/524288], [-3, -3]]]], [[4, 5, 11, 2, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, z = u], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [2, 2], [-3625039/1048576, -1812519/
524288], [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 11, 2, 3], [v = -1,
And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
3625039/1048576, -1812519/524288], [0, 0]]]], [[4, 5, 11, 2, 4], [v = -1, And(
-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [2, 2], [-3625039/1048576, -1812519/
524288], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 11, 2, 5], [v = -1, 
And(-2^(1/2) < u,u < -1), 1 < x, y = -u^2-x, -u < z], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [2, 2], [-3625039/1048576, -1812519/
524288], [3, 3]]]], [[4, 10, 3, 4, 1], [v = -1, u = 1, And(-1 < x,x < 0), y =
0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [0, 0],
[-2, -2]]]], [[4, 10, 3, 4, 2], [v = -1, u = 1, And(-1 < x,x < 0), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[4, 10, 3, 4, 3], [v = -1, u = 1, And(-\
1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1, -1], [1, 1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 10, 3, 4, 4], [v = -1, u
= 1, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [1,
1], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[4, 10, 3, 4, 5],
[v = -1, u = 1, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1, -1], [1, 1], [-1/2, -1/2], [0, 0], [2, 2]]]], [[4, 12, 4, 1, 1], [v = -1, u
= 2^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[4, 12, 4,
1, 2], [v = -1, u = 2^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain
, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[4, 12, 4, 1, 3], [v = -1, u = 2^(1/2), x = -1
, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]
]], [[4, 12, 4, 1, 4], [v = -1, u = 2^(1/2), x = -1, y < -1, z = (1-y)^(1/2)],
[regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2
], [908093/524288, 1816187/1048576]]]], [[4, 12, 4, 1, 5], [v = -1, u = 2^(1/2
), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288
, 1482911/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[5, 2, 4, 9, 1], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[-1/2, -\
1/2], [-3/2, -3/2], [-1, -1], [3, 3], [0, 0]]]], [[5, 4, 2, 1, 1], [And(-1 < v
,v < 0), u = -(v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [-1, -1], [-3, -3
]]]], [[5, 4, 2, 1, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, y < 0,
z = -(2-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[5, 4,
2, 1, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1
/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[5, 4, 2,
1, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2],
[-1, -1], [908093/524288, 1816187/1048576]]]], [[5, 4, 2, 1, 5], [And(-1 < v,v
< 0), u = -(v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [-146543/131072, -1172343/1048576], [-2, -2], [-1, -1], [3, 3]]]],
[[5, 11, 8, 3, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/
524288, 486043/1048576], [-28442235/16777216, -28442235/16777216], [-3, -3]]]]
, [[5, 11, 8, 3, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021
/524288, 486043/1048576], [-28442235/16777216, -28442235/16777216], [-1163761/
1048576, -72735/65536]]]], [[5, 11, 8, 3, 3], [And(-1 < v,v < 0), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2
+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain,
[[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576]
, [-28442235/16777216, -28442235/16777216], [0, 0]]]], [[5, 11, 8, 3, 4], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-\
2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576],
[-28442235/16777216, -28442235/16777216], [72735/65536, 1163761/1048576]]]], [
[5, 11, 8, 3, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/
524288, 486043/1048576], [-28442235/16777216, -28442235/16777216], [3, 3]]]],
[[5, 13, 5, 2, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3]
, [-1/2, -1/2], [-37/4, -37/4], [-5, -5]]]], [[5, 13, 5, 2, 2], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-37/4, -37/4],
[-1637089/524288, -3274177/1048576]]]], [[5, 13, 5, 2, 3], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/
2], [-37/4, -37/4], [0, 0]]]], [[5, 13, 5, 2, 4], [And(-1 < v,v < 0), (v^2+2)^
(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-37/4, -37/4], [3274177/
1048576, 1637089/524288]]]], [[5, 13, 5, 2, 5], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-37/4, -37/4], [5, 5]]]],
[[6, 5, 6, 7, 1], [v = 0, And(-1 < u,u < 0), x = u^2-1, -u^2+1 < y, z = z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [2, 2], [0, 0]]]], [[6, 7,
7, 4, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = u^2-x-1, z < -(-
u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-3/8, -3/8]
, [-2, -2]]]], [[6, 7, 7, 4, 2], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0
), y = u^2-x-1, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3
/8, -3/8], [-3/8, -3/8], [-1816187/2097152, -3632373/4194304]]]], [[6, 7, 7, 4
, 3], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = u^2-x-1, And(-(-u^2+
1)^(1/2) < z,z < (-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8,
-3/8], [-3/8, -3/8], [-1/8388608, -1/8388608]]]], [[6, 7, 7, 4, 4], [v = 0, 
And(0 < u,u < 1), And(u^2-1 < x,x < 0), y = u^2-x-1, z = (-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-3/8, -3/8], [908093/
1048576, 454047/524288]]]], [[6, 7, 7, 4, 5], [v = 0, And(0 < u,u < 1), And(u^
2-1 < x,x < 0), y = u^2-x-1, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/
2, 1/2], [-3/8, -3/8], [-3/8, -3/8], [2, 2]]]], [[6, 11, 6, 4, 1], [v = 0, 2^(
1/2) < u, x = 0, y = 0, z < 0], [regular_chain, [[0, 0], [3, 3], [0, 0], [0, 0
], [-1, -1]]]], [[6, 11, 6, 4, 2], [v = 0, 2^(1/2) < u, x = 0, y = 0, z = 0],
[regular_chain, [[0, 0], [3, 3], [0, 0], [0, 0], [0, 0]]]], [[6, 11, 6, 4, 3],
[v = 0, 2^(1/2) < u, x = 0, y = 0, 0 < z], [regular_chain, [[0, 0], [3, 3], [0
, 0], [0, 0], [1, 1]]]], [[7, 2, 1, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [-3/2, -3/2], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[7, 2, 1, 3, 2], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1/2, 1/2], [-7846825/
4194304, -980853/524288]]]], [[7, 2, 1, 3, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1/2, 1/2], [0, 0]]]], [[
7, 2, 1, 3, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -
x-3), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4],
[1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[7, 2, 1, 3, 5], [And(0 < v,
v < 1), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1/2, 1/2], [3, 3]]]], [[7
, 7, 8, 6, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, y = 0, z < 0], [
regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [0, 0], [-1, -1]]]], [[7, 7, 8, 6,
2], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, y = 0, z = 0], [regular_chain
, [[1/2, 1/2], [0, 0], [0, 0], [0, 0], [0, 0]]]], [[7, 7, 8, 6, 3], [And(0 < v
,v < 1), And(-v < u,u < v), x = 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2],
[0, 0], [0, 0], [0, 0], [1, 1]]]], [[7, 9, 9, 3, 1], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1
), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [-3, -3]]]], [
[7, 9, 9, 3, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-\
25165827/16777216, -25165827/16777216], [-1048577/1048576, -1]]]], [[7, 9, 9,
3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-\
25165827/16777216, -25165827/16777216], [0, 0]]]], [[7, 9, 9, 3, 4], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [-25165827/16777216, -25165827/16777216
], [1, 1048577/1048576]]]], [[7, 9, 9, 3, 5], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152],
[1/2, 1/2], [-25165827/16777216, -25165827/16777216], [3, 3]]]], [[7, 11, 1, 1
, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^
2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [-1, -1], [-4, -4]]]], [[7, 11, 1, 1, 2], [And(0 < v
,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z =
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[7, 11, 1, 1, 3], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y
< 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-4, -4], [-1, -1], [0, 0]]]], [[7, 11, 1, 1, 4
], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1
, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[7, 
11, 1, 1, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x <
-u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-4, -4], [-1, -1], [4, 4]]]], [[7, 12, 7, 4, 1], [And
(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]],
[[7, 12, 7, 4, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y =
-x, z = 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-1/2, -1/2],
[0, 0]]]], [[7, 12, 7, 4, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,
x < 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [
-1/2, -1/2], [1, 1]]]], [[8, 4, 8, 1, 1], [v = 1, u = -2^(1/2), x = 1, y < -3,
z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288
], [1, 1], [-4, -4], [-3, -3]]]], [[8, 4, 8, 1, 2], [v = 1, u = -2^(1/2), x =
1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[8
, 4, 8, 1, 3], [v = 1, u = -2^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[8, 4, 8, 1, 4], [v = 1, u = -2
^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]
], [[8, 4, 8, 1, 5], [v = 1, u = -2^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1], [-4, -4],
[3, 3]]]], [[8, 6, 7, 2, 1], [v = 1, u = -1, 1 < x, y = -1-x, z < -1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [-3, -3], [-2, -2]]]], [[8, 6, 7, 2,
2], [v = 1, u = -1, 1 < x, y = -1-x, z = -1], [regular_chain, [[1, 1], [-1, -1
], [2, 2], [-3, -3], [-1, -1]]]], [[8, 6, 7, 2, 3], [v = 1, u = -1, 1 < x, y =
-1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-3, -3],
[0, 0]]]], [[8, 6, 7, 2, 4], [v = 1, u = -1, 1 < x, y = -1-x, z = 1], [
regular_chain, [[1, 1], [-1, -1], [2, 2], [-3, -3], [1, 1]]]], [[8, 6, 7, 2, 5
], [v = 1, u = -1, 1 < x, y = -1-x, 1 < z], [regular_chain, [[1, 1], [-1, -1],
[2, 2], [-3, -3], [2, 2]]]], [[8, 11, 2, 7, 1], [v = 1, And(1 < u,u < 2^(1/2))
, x = -u^2, u^2 < y, z = z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [3, 3], [0, 0]]]], [[8,
13, 2, 1, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y < 0, z < -(u^2
-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-\
1297479/524288, -2594957/1048576], [-1, -1], [-3, -3]]]], [[8, 13, 2, 1, 2], [
v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y < 0, z = -(u^2-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/524288,
-2594957/1048576], [-1, -1], [-7818463/4194304, -3909231/2097152]]]], [[8, 13,
2, 1, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y < 0, And(-(u^2-y)^
(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1297479/524288, -2594957/1048576], [-1, -1], [-1/4194304,
-1/4194304]]]], [[8, 13, 2, 1, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -
u^2, y < 0, z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1297479/524288, -2594957/1048576], [-1, -1], [1954615/
1048576, 244327/131072]]]], [[8, 13, 2, 1, 5], [v = 1, And(2^(1/2) < u,u < 3^(
1/2)), x = -u^2, y < 0, (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [-1, -1], [3,
3]]]], [[9, 3, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4
, -4], [0, 0], [-3, -3]]]], [[9, 3, 1, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [0, 0], [-2, -2]]]], [[9, 3, 1, 2, 3], [And(1 < v
,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [0, 0], [0
, 0]]]], [[9, 3, 1, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4
, -4], [0, 0], [2, 2]]]], [[9, 3, 1, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [0, 0], [3, 3]]]], [[9, 4, 9, 3, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [-3, -3], [-2, -2]]]], [[9, 4, 9, 3, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [-3, -3], [-1, -1]]]], [[9, 4, 9, 3, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-410915/262144, -3287319/2097152], [2, 2], [-3, -3], [0, 0]]]], [[9, 4, 9,
3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [2, 2], [-3, -3], [1, 1]]]], [[9, 4, 9, 3, 5
], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [2, 2], [-3, -3], [2, 2]]]], [[9, 11, 11, 9,
1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 1 < x, 0 < y, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [1, 1], [0, 0]]]], [[9, 14, 2, 1, 1], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2
], [-1, -1], [-3, -3]]]], [[9, 14, 2, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2
+1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1643659/1048576, 410915/262144], [-2, -2], [-1, -1], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 14, 2, 1, 3], [And(1 < v,v < 2^(1/
2)), u = (v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[9, 14, 2, 1, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[9, 14, 2,
1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [-2, -2], [-1, -1], [3, 3]]]], [[10, 2, 2, 7, 1], [v = 2^(1/2)
, u = -2, x = -3, 4 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-3, -3], [5, 5], [0, 0]]]], [[10, 3, 11, 3, 1], [v = 2^(1
/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [-3, -3]]]], [
[10, 3, 11, 3, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-u^2-x+1
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [2, 2], [-6796923/2097152, -\
6796923/2097152], [-4563/4096, -1168127/1048576]]]], [[10, 3, 11, 3, 3], [v =
2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [2, 2], [-6796923/2097152, -\
6796923/2097152], [0, 0]]]], [[10, 3, 11, 3, 4], [v = 2^(1/2), And(-2 < u,u <
-3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2
], [-6796923/2097152, -6796923/2097152], [1168127/1048576, 4563/4096]]]], [[10
, 3, 11, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, And(-u^2-x+1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-3913339/2097152, -3913339/2097152], [2, 2], [-6796923/2097152, -6796923/
2097152], [3, 3]]]], [[10, 8, 3, 3, 1], [v = 2^(1/2), u = -1, And(-2 < x,x < -\
1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1, -1], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[10, 8,
3, 3, 2], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-\
3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[10, 8, 3, 3, 3
], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-1, -1], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[10, 8, 3, 3, 4], [v = 2^
(1/2), u = -1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-1/
4, -1/4], [1387135/1048576, 10837/8192]]]], [[10, 8, 3, 3, 5], [v = 2^(1/2), u
= -1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-1/
4, -1/4], [3, 3]]]], [[10, 10, 1, 9, 1], [v = 2^(1/2), u = 0, x < -3, 1-x < y,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -4], [
6, 6], [0, 0]]]], [[10, 15, 8, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
= 0, y = 0, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [0, 0], [0, 0], [-1, -1]]]], [[10, 15, 8, 6
, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y = 0, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [0, 0], [0, 0], [0, 0]]]], [[10, 15, 8, 6, 3], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [0, 0], [1, 1]]]], [[10
, 17, 7, 9, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), u^
2-x-3 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [2, 2], [0, 0]]]
], [[10, 18, 6, 5, 1], [v = 2^(1/2), u = 2, x = 0, And(0 < y,y < 1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [1/2, 1/2],
[0, 0]]]], [[11, 1, 4, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, y < -u
^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [-17,
-17], [-6, -6]]]], [[11, 1, 4, 1, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1
, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1]
, [-17, -17], [-1112183/262144, -4448731/1048576]]]], [[11, 1, 4, 1, 3], [2^(1
/2) < v, u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [-17, -17], [0, 0]]]
], [[11, 1, 4, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2,
z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [-17, -17], [
4448731/1048576, 1112183/262144]]]], [[11, 1, 4, 1, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [
-5, -5], [-1, -1], [-17, -17], [6, 6]]]], [[11, 6, 6, 5, 1], [2^(1/2) < v, u =
-v, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-3, -3], [1, 1
], [-1/2, -1/2], [0, 0]]]], [[11, 8, 7, 6, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2
), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [-2965821/1048576
, -11863283/4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 12, 4, 8, 1], [2^(1
/2) < v, u = (v^2-2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [-1, -1], [2, 2], [0, 0]]]], [[11, 14, 2, 4, 1],
[2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[11, 14,
2, 4, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, y = 2, z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [2, 2], [0
, 0]]]], [[11, 14, 2, 4, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -2, y = 2, 0
< z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-2, -2], [2,
2], [1, 1]]]], [[11, 19, 11, 1, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [3396811/1048576, 3396811/1048576], [2, 2], [-6, -6], [-3, -3]]]], [[11,
19, 11, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x,
y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [2, 2], [-6, -6], [-2, -2]]]], [[11, 19, 11, 1, 3],
[2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-\
1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [2, 2], [-6, -6], [0, 0]]]], [[11, 19, 11, 1, 4],
[2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [2, 2], [-6, -6], [2, 2]]]], [[11, 19, 11, 1, 5], [2^(1/2) < v, And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [2, 2], [-6,
-6], [3, 3]]]], [[11, 21, 8, 4, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y
= -1, z < 0], [regular_chain, [[3, 3], [5, 5], [1, 1], [-1, -1], [-1, -1]]]],
[[11, 21, 8, 4, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y = -1, z = 0], [
regular_chain, [[3, 3], [5, 5], [1, 1], [-1, -1], [0, 0]]]], [[11, 21, 8, 4, 3
], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, y = -1, 0 < z], [regular_chain, [[3
, 3], [5, 5], [1, 1], [-1, -1], [1, 1]]]], [[1, 4, 2, 2, 1], [v < -2^(1/2), u
= -(v^2+1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-2, -2], [0, 0], [-3, -3]]]], [[1, 4, 2, 2,
2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [0, 0],
[-1482911/1048576, -741455/524288]]]], [[1, 4, 2, 2, 3], [v < -2^(1/2), u = -(
v^2+1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [0, 0], [0, 0]]]], [[1,
4, 2, 2, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [0, 0],
[741455/524288, 1482911/1048576]]]], [[1, 4, 2, 2, 5], [v < -2^(1/2), u = -(v^
2+1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-2, -2], [0, 0], [3, 3]]]], [[1, 5, 11, 8, 1], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = 0, z = z], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [2, 2], [0, 0], [0, 0]]]], [[1, 
11, 8, 2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1,
y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1
, 1], [-11, -11], [-5, -5]]]], [[1, 11, 8, 2, 2], [v < -2^(1/2), And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [1, 1], [-11, -11], [-3315889/1048576, -\
207243/65536]]]], [[1, 11, 8, 2, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^
2+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-11, -11], [0, 0]]]]
, [[1, 11, 8, 2, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [1, 1], [-11, -11], [207243/65536, 3315889/1048576]]]], [[1, 11, 8, 2, 5],
[v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 1, y = u^2-v^2-2
, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1, 1], [-11, -\
11], [5, 5]]]], [[1, 13, 5, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-4,
-4], [-4, -4]]]], [[1, 13, 5, 1, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-4,
-4], [-1112183/524288, -2224365/1048576]]]], [[1, 13, 5, 1, 3], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[1, 13, 5, 1, 4],
[v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y
< u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]],
[[1, 13, 5, 1, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[1,
17, 7, 8, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,
x < 0), y = -x, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576],
[-1, -1]]]], [[1, 17, 7, 8, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [66399/262144, 
265597/1048576], [0, 0]]]], [[1, 17, 7, 8, 3], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1062385/4194304, -1062385/4194304], [
66399/262144, 265597/1048576], [1, 1]]]], [[1, 19, 6, 5, 1], [v < -2^(1/2), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(0 < y,y < u^2-v^2-1), z =
z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [0, 0], [
129511/524288, 129511/524288], [0, 0]]]], [[2, 3, 6, 3, 1], [v = -2^(1/2), And
(-2 < u,u < -3^(1/2)), x = 0, And(-u^2+1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [-3, -3]]]], [
[2, 3, 6, 3, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(-u^2+1 <
y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3913339/2097152, -3913339/2097152], [0, 0], [-2602619/2097152, -2602619/
2097152], [-4563/4096, -1168127/1048576]]]], [[2, 3, 6, 3, 3], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339
/2097152, -3913339/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [0,
0]]]], [[2, 3, 6, 3, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(-
u^2+1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3913339/2097152, -3913339/2097152], [0, 0], [-2602619/2097152, -\
2602619/2097152], [1168127/1048576, 4563/4096]]]], [[2, 3, 6, 3, 5], [v = -2^(
1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [3, 3]]]], [[2
, 5, 5, 2, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3),
y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [-1493419/2097152, -746709/1048576], [-3, -3]]]], [[2, 5, 5, 2, 2],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y = -u^2-x+1, z
= -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-\
1493419/2097152, -746709/1048576], [-636691/524288, -1273381/1048576]]]], [[2,
5, 5, 2, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u^2-3), y
= -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [-1493419/2097152, -746709/1048576], [0, 0]]
]], [[2, 5, 5, 2, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1 < x,x < u
^2-3), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [-1493419/2097152, -746709/1048576], [1273381/1048576, 636691
/524288]]]], [[2, 5, 5, 2, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-1
< x,x < u^2-3), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [-1493419/2097152, -746709/1048576], [3, 3]]]], [[2
, 6, 5, 4, 1], [v = -2^(1/2), u = v, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 6, 5, 4, 2], [v = -2^(1/
2), u = v, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[2, 6, 5, 4, 3], [v = -2^(1/2), u = v, And(0 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911
/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[2, 8, 5, 6,
1], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1,
-1]]]], [[2, 8, 5, 6, 2], [v = -2^(1/2), u = -1, And(-1 < x,x < 0), y = -x, z
= 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1
/2], [1/2, 1/2], [0, 0]]]], [[2, 8, 5, 6, 3], [v = -2^(1/2), u = -1, And(-1 <
x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 13, 10, 5, 1], [v = -2^(1/
2), And(1 < u,u < -v), x = 1, And(-u^2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [-2, -2]]]], [[2, 13,
10, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(-u^2 < y,y < -1), z =
-(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [-\
501295/1048576, -250647/524288]]]], [[2, 13, 10, 5, 3], [v = -2^(1/2), And(1 <
u,u < -v), x = 1, And(-u^2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [0, 0]]]], [[2
, 13, 10, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x = 1, And(-u^2 < y,y < -1)
, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [1, 1], [-1288231/1048576, -1288231/1048576
], [250647/524288, 501295/1048576]]]], [[2, 13, 10, 5, 5], [v = -2^(1/2), And(
1 < u,u < -v), x = 1, And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [1, 1
], [-1288231/1048576, -1288231/1048576], [2, 2]]]], [[2, 15, 10, 9, 1], [v = -
2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1],
[1, 1], [0, 0]]]], [[2, 19, 9, 9, 1], [v = -2^(1/2), 2 < u, And(1 < x,x < u^2-\
3), u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3, 3], [7/2, 7/2], [4, 4], [0, 0]]]], [[3, 2, 4, 8, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [2
, 2], [0, 0]]]], [[3, 8, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/
2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3, -3], [0, 0], [-3, -\
3]]]], [[3, 8, 1, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-3, -3], [0, 0], [-1816187/
1048576, -3632373/2097152]]]], [[3, 8, 1, 2, 3], [And(-2^(1/2) < v,v < -1), u
= -(v^2-1)^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[3, 8, 1, 2, 4
], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y = 0, z = (-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[3, 8
, 1, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x < -2, y = 0, (-x)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-3, -3], [0, 0], [3, 3]]]], [[3, 9, 11, 1, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u
^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [2, 2], [-6, -6], [-3, -3]]]], [[3, 9, 11, 1, 2], [And(-2^(1
/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2
-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [0, 0], [2, 2], [-6, -6], [-2, -2]]]], [[3, 9, 11, 1, 3], [And(-2^(1/2) < v
,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [0, 0], [2, 2], [-6, -6], [0, 0]]]], [[3, 9, 11, 1, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y
< u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [2, 2], [-6, -6], [2, 2]]]], [[3, 9, 11, 1, 5], [And(-2^(1/
2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-
x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [2, 2], [-6, -6], [3, 3]]]], [[3, 17, 3, 1, 1], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [-5, -5], [-5, -5]]]], [[3, 17, 3, 1, 2]
, [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-5, -5], [-\
3277777/1048576, -204861/65536]]]], [[3, 17, 3, 1, 3], [And(-2^(1/2) < v,v < -\
1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-5, -5], [0, 0]]]],
[[3, 17, 3, 1, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-\
1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [
-5, -5], [204861/65536, 3277777/1048576]]]], [[3, 17, 3, 1, 5], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1,
(-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-10006449/2097152, -10006449/2097152], [-5, -5], [5, 5]]]], [[4, 1, 8, 7,
1], [v = -1, u < -3^(1/2), x = 1, And(0 < y,y < u^2-3), z = z], [regular_chain
, [[-1, -1], [-3, -3], [1, 1], [3, 3], [0, 0]]]], [[4, 7, 4, 8, 1], [v = -1, 
And(-1 < u,u < 0), x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-1, -1], [1, 1], [-1, -1]]]], [[4, 7, 4, 8, 2], [v = -1, And(-1 < u,u <
0), x = -1, y = 1, z = 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1],
[1, 1], [0, 0]]]], [[4, 7, 4, 8, 3], [v = -1, And(-1 < u,u < 0), x = -1, y = 1
, 0 < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [1, 1], [1, 1]]]]
, [[4, 9, 3, 7, 1], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(-u^2
-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
11/8, -11/8], [5/4, 5/4], [-2, -2]]]], [[4, 9, 3, 7, 2], [v = -1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [5/4, 5/4], [-46341/
131072, -370727/1048576]]]], [[4, 9, 3, 7, 3], [v = -1, And(0 < u,u < 1), And(
u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [5/4, 5/4], [0,
0]]]], [[4, 9, 3, 7, 4], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And
(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2],
[-11/8, -11/8], [5/4, 5/4], [370727/1048576, 46341/131072]]]], [[4, 9, 3, 7, 5
], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [5/4,
5/4], [2, 2]]]], [[4, 13, 6, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x =
0, And(0 < y,y < u^2-2), z = z], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [0, 0], [497805/2097152, 497805/2097152], [0, 0]]]], [[4, 15
, 3, 6, 1], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [5, 5], [-1, -1]]]], [[4, 15, 3, 6
, 2], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1, -1], [3, 3], [-5, -5], [5, 5], [0, 0]]]], [[4, 15, 3, 6,
3], [v = -1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -x, 0 < z], [regular_chain
, [[-1, -1], [3, 3], [-5, -5], [5, 5], [1, 1]]]], [[5, 5, 4, 9, 1], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, 1 < y, z = z], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [2, 2], [0, 0
]]]], [[5, 7, 5, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x <
-u^2+v^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
-7/8, -7/8], [0, 0], [-2, -2]]]], [[5, 7, 5, 4, 2], [And(-1 < v,v < 0), And(v
< u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [0, 0], [-7846825/8388608,
-980853/1048576]]]], [[5, 7, 5, 4, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
And(-1 < x,x < -u^2+v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [0, 0], [0, 0]]]], [[5, 7,
5, 4, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y
= 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [0,
0], [980853/1048576, 490427/524288]]]], [[5, 7, 5, 4, 5], [And(-1 < v,v < 0),
And(v < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-7/8, -7/8], [0, 0], [2, 2]]]], [[5, 8,
6, 1, 1], [And(-1 < v,v < 0), u = -v, x = 1, y < -2, z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-3, -3], [-3, -3]]]], [[5,
8, 6, 1, 2], [And(-1 < v,v < 0), u = -v, x = 1, y < -2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [-3, -3], [-1482911/1048576,
-741455/524288]]]], [[5, 8, 6, 1, 3], [And(-1 < v,v < 0), u = -v, x = 1, y < -\
2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1
/2, 1/2], [1, 1], [-3, -3], [0, 0]]]], [[5, 8, 6, 1, 4], [And(-1 < v,v < 0), u
= -v, x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1
/2], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[5, 8, 6, 1, 5],
[And(-1 < v,v < 0), u = -v, x = 1, y < -2, (-y-1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [1/2, 1/2], [1, 1], [-3, -3], [3, 3]]]], [[5, 10, 6, 3, 1], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [
-1, -1], [-2, -2]]]], [[5, 10, 6, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2)
, x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [0, 0], [-1, -1], [-1, -1]]]], [[5, 10, 6, 3,
3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [0, 0], [-1, -1], [0, 0]]]], [[5, 10, 6, 3, 4], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [0, 0], [-1, -\
1], [1, 1]]]], [[5, 10, 6, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 0
, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [0, 0], [-1, -1], [2, 2]]]], [[6, 2, 6, 5, 1], [v = 0
, u = -2^(1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [0, 0]]]], [[6, 4, 4, 3,
1], [v = 0, u = -1, x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[6, 4,
4, 3, 2], [v = 0, u = -1, x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -\
642119/524288]]]], [[6, 4, 4, 3, 3], [v = 0, u = -1, x = -1, And(-1 < y,y < 0)
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [
-1, -1], [-1/2, -1/2], [0, 0]]]], [[6, 4, 4, 3, 4], [v = 0, u = -1, x = -1, 
And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -\
1], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[6, 4, 4, 3, 5], [v =
0, u = -1, x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[0, 0
], [-1, -1], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[6, 8, 8, 2, 1], [v = 0, u =
1, x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[0, 0], [1, 1], [1, 1], [-3,
-3], [-3, -3]]]], [[6, 8, 8, 2, 2], [v = 0, u = 1, x = 1, y = -3, z = -2^(1/2)
], [regular_chain, [[0, 0], [1, 1], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[6, 8, 8, 2, 3], [v = 0, u = 1, x = 1, y = -3, And(-2^(1/2
) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [1, 1], [1, 1], [-3, -3], [0, 0]
]]], [[6, 8, 8, 2, 4], [v = 0, u = 1, x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[0, 0], [1, 1], [1, 1], [-3, -3], [741455/524288, 1482911/
1048576]]]], [[6, 8, 8, 2, 5], [v = 0, u = 1, x = 1, y = -3, 2^(1/2) < z], [
regular_chain, [[0, 0], [1, 1], [1, 1], [-3, -3], [3, 3]]]], [[6, 10, 5, 3, 1]
, [v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/
2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2],
[-5/4, -5/4], [-3, -3]]]], [[6, 10, 5, 3, 2], [v = 0, u = 2^(1/2), And(-1 < x,
x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -\
1387135/1048576]]]], [[6, 10, 5, 3, 3], [v = 0, u = 2^(1/2), And(-1 < x,x < 0)
, And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-5/4,
-5/4], [0, 0]]]], [[6, 10, 5, 3, 4], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), 
And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/
8192]]]], [[6, 10, 5, 3, 5], [v = 0, u = 2^(1/2), And(-1 < x,x < 0), And(-x-3
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[7, 4, 5, 7, 1], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2],
[2, 2], [0, 0]]]], [[7, 6, 4, 4, 1], [And(0 < v,v < 1), u = -v, x = 0, y = 0,
z < 0], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0], [-1, -1]]]]
, [[7, 6, 4, 4, 2], [And(0 < v,v < 1), u = -v, x = 0, y = 0, z = 0], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0], [0, 0]]]], [[7, 6, 4
, 4, 3], [And(0 < v,v < 1), u = -v, x = 0, y = 0, 0 < z], [regular_chain, [[1/
2, 1/2], [-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]], [[7, 13, 8, 1, 1], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-12, -12], [-5, -5]]]], [[7, 13,
8, 1, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, z = -(-
y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-12, -12], [-\
1738867/524288, -3477733/1048576]]]], [[7, 13, 8, 1, 3], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-12, -12], [0, 0]]]], [[7, 
13, 8, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, z =
(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-12, -12], [
3477733/1048576, 1738867/524288]]]], [[7, 13, 8, 1, 5], [And(0 < v,v < 1), (v^
2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[1/
2, 1/2], [3, 3], [1, 1], [-12, -12], [5, 5]]]], [[8, 2, 3, 4, 1], [v = 1, u =
-3^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1]
, [-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [-3, -3]]]], [[8, 2,
3, 4, 2], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0]
, [-1482911/1048576, -741455/524288]]]], [[8, 2, 3, 4, 3], [v = 1, u = -3^(1/2
), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0]
, [0, 0]]]], [[8, 2, 3, 4, 4], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y = 0
, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[8, 2, 3, 4,
5], [v = 1, u = -3^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-2, -2], [0, 0]
, [3, 3]]]], [[8, 7, 10, 3, 1], [v = 1, And(-1 < u,u < 0), x = 1, And(u^2-3 <
y,y < -u^2-1), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1,
1], [-2, -2], [-2, -2]]]], [[8, 7, 10, 3, 2], [v = 1, And(-1 < u,u < 0), x = 1
, And(u^2-3 < y,y < -u^2-1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1/
2, -1/2], [1, 1], [-2, -2], [-1, -1]]]], [[8, 7, 10, 3, 3], [v = 1, And(-1 < u
,u < 0), x = 1, And(u^2-3 < y,y < -u^2-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-2, -2], [0, 0]]]], [[8
, 7, 10, 3, 4], [v = 1, And(-1 < u,u < 0), x = 1, And(u^2-3 < y,y < -u^2-1), z
= (-y-1)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-2, -2], [1,
1]]]], [[8, 7, 10, 3, 5], [v = 1, And(-1 < u,u < 0), x = 1, And(u^2-3 < y,y <
-u^2-1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [1, 1], [-2
, -2], [2, 2]]]], [[8, 9, 9, 6, 1], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1)
, y = -x, z < 0], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2
], [-1, -1]]]], [[8, 9, 9, 6, 2], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1),
y = -x, z = 0], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2],
[0, 0]]]], [[8, 9, 9, 6, 3], [v = 1, And(0 < u,u < 1), And(0 < x,x < 1), y = -
x, 0 < z], [regular_chain, [[1, 1], [1/2, 1/2], [1/2, 1/2], [-1/2, -1/2], [1,
1]]]], [[8, 13, 11, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 1 < x, And(u^
2-x-2 < y,y < 0), z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [2, 2], [-799673/1048576, -799673/1048576], [0, 0]]]], [[8, 15, 9, 1
, 1], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [3, 3], [4, 4], [-14, -14], [-5, -5]]]], [[8, 15,
9, 1, 2], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [3, 3], [4, 4], [-14, -14], [-3315889/1048576,
-207243/65536]]]], [[8, 15, 9, 1, 3], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2
), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1,
1], [3, 3], [4, 4], [-14, -14], [0, 0]]]], [[8, 15, 9, 1, 4], [v = 1, 3^(1/2)
< u, And(1 < x,x < u^2-2), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [3, 3], [4, 4], [-14, -14], [207243/65536, 3315889/1048576]]]], [[8, 15, 9
, 1, 5], [v = 1, 3^(1/2) < u, And(1 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) <
z], [regular_chain, [[1, 1], [3, 3], [4, 4], [-14, -14], [5, 5]]]], [[9, 5, 10
, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = u
^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-3213831/2097152, -\
1606915/1048576], [-2, -2]]]], [[9, 5, 10, 4, 2], [And(1 < v,v < 2^(1/2)), And
(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-3213831/2097152, -1606915/1048576], [-1530309/
2097152, -382577/524288]]]], [[9, 5, 10, 4, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [1, 1], [-3213831/2097152, -1606915/
1048576], [0, 0]]]], [[9, 5, 10, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-3213831/2097152, -1606915/1048576], [382577/524288
, 765155/1048576]]]], [[9, 5, 10, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)
^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-3213831/2097152, -1606915/1048576], [2, 2]]]], [[9
, 7, 11, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x
, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [-3, -3], [-2, -2]]]], [[9, 7, 11, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [2, 2], [-3, -3], [-1, -1]]]], [[9, 7, 11, 3, 3],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-\
1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [2, 2], [-3, -3], [0, 0]]]], [[9, 7, 11, 3, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^
2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [2, 2], [-3, -3], [1, 1]]]], [
[9, 7, 11, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 1 <
x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [2,
2], [-3, -3], [2, 2]]]], [[9, 9, 2, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-\
1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, -2*u^2+2*v^2 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576,
-1288231/524288], [4, 4], [0, 0]]]], [[9, 11, 2, 1, 1], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-1646781/1048576, -3293561/2097152], [-1, -1], [-3, -3]]]],
[[9, 11, 2, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x =
u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576
, -3293561/2097152], [-1, -1], [-3362313/2097152, -420289/262144]]]], [[9, 11,
2, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1
, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [-1, -1], [0, 0]]]], [[9, 11,
2, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1
, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/
2097152], [-1, -1], [420289/262144, 1681157/1048576]]]], [[9, 11, 2, 1, 5], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y < 0, (-
u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-1, -\
1], [3, 3]]]], [[9, 16, 6, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
x = 0, 1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [0, 0], [2, 2], [0, 0]]]], [[10, 1, 4, 3, 1],
[v = 2^(1/2), u < -2, x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7/2, -\
7/2], [-4, -4]]]], [[10, 1, 4, 3, 2], [v = 2^(1/2), u < -2, x = -1, And(-u^2+2
< y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [-7/2, -7/2], [-1112183/524288, -2224365/1048576
]]]], [[10, 1, 4, 3, 3], [v = 2^(1/2), u < -2, x = -1, And(-u^2+2 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-1, -1], [-7/2, -7/2], [0, 0]]]], [[10, 1, 4, 3,
4], [v = 2^(1/2), u < -2, x = -1, And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7/2, -\
7/2], [2224365/1048576, 1112183/524288]]]], [[10, 1, 4, 3, 5], [v = 2^(1/2), u
< -2, x = -1, And(-u^2+2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-7/2, -7/2], [4, 4]]]],
[[10, 5, 3, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,x <
-1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [-2, -2], [-3, -3]]]], [[10, 5, 3, 1, 2], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-2, -2], [-3773343/
2097152, -7546685/4194304]]]], [[10, 5, 3, 1, 3], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), And(-u^2+1 < x,x < -1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-2, -2], [-\
1/8388608, -1/8388608]]]], [[10, 5, 3, 1, 4], [v = 2^(1/2), And(-3^(1/2) < u,u
< -v), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-2, -2], [1886671/1048576, 117917/65536]]
]], [[10, 5, 3, 1, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-u^2+1 < x,
x < -1), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [-2, -2], [3, 3]]]], [[10, 7, 3, 9, 1], [v = 2^(1/2), And(-v
< u,u < -1), And(u^2-3 < x,x < -1), -x < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [3, 3], [0, 0]]]], [[10, 12, 6, 2, 1], [v = 2^(1/2
), u = 1, x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [0, 0], [-2, -2], [-3, -3]]]], [[10, 12, 6, 2, 2], [
v = 2^(1/2), u = 1, x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [0, 0], [-2, -2], [-1482911/1048576, -741455
/524288]]]], [[10, 12, 6, 2, 3], [v = 2^(1/2), u = 1, x = 0, y = -2, And(-2^(1
/2) < z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1,
1], [0, 0], [-2, -2], [0, 0]]]], [[10, 12, 6, 2, 4], [v = 2^(1/2), u = 1, x =
0, y = -2, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[10, 12, 6, 2, 5
], [v = 2^(1/2), u = 1, x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [0, 0], [-2, -2], [3, 3]]]], [[10, 14, 5, 5,
1], [v = 2^(1/2), u = v, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 2, 2, 7, 1], [2^(1/2) < v
, u = -(v^2+2)^(1/2), x = -3, 4 < y, z = z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-3, -3], [5, 5], [0, 0]]]], [[11, 3, 11, 3
, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^
2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288], [-3, -\
3]]]], [[11, 3, 11, 3, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-1702375/524288, -\
1702375/524288], [-1170947/1048576, -585473/524288]]]], [[11, 3, 11, 3, 3], [2
^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-\
1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [2, 2], [-1702375/524288, -1702375/
524288], [0, 0]]]], [[11, 3, 11, 3, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [2, 2], [-\
1702375/524288, -1702375/524288], [585473/524288, 1170947/1048576]]]], [[11, 3
, 11, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x,
And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288]
, [3, 3]]]], [[11, 9, 8, 7, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), x = -u^2+v^2-1, 0 < y, z = z], [regular_chain, [[3, 3], [-22960369
/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [1, 1], [0, 0]]
]], [[11, 11, 6, 1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [0
, 0], [-11, -11], [-5, -5]]]], [[11, 11, 6, 1, 2], [2^(1/2) < v, And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [0, 0], [-11, -11], [-1738867/524288, -3477733
/1048576]]]], [[11, 11, 6, 1, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [0, 0], [-11, -11], [0, 0]]]], [[11, 11, 6, 1,
4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y < u^2-v^
2-1, z = (-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [0, 0], [-11, -11], [
3477733/1048576, 1738867/524288]]]], [[11, 11, 6, 1, 5], [2^(1/2) < v, And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [0, 0], [-11, -11], [5, 5]]]], [[11, 15, 5, 1,
1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y
< u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-3, -3]]]], [[
11, 15, 5, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -
u^2+v^2-1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-2, -2],
[-1737703/1048576, -3475405/2097152]]]], [[11, 15, 5, 1, 3], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-1/4194304, -1/
4194304]]]], [[11, 15, 5, 1, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain
, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288
], [-2, -2], [868851/524288, 1737703/1048576]]]], [[11, 15, 5, 1, 5], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [-2, -2], [3, 3]]]], [[11, 17, 5,
9, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1),
-x < y, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [2, 2], [0, 0]]]], [[1, 1, 5, 8, 1], [v <
-2^(1/2), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [-5, -5], [-1/2, -1/2], [31/2, 31/2], [0, 0]]]], [[1
, 3, 2, 7, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
-u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [4, 4], [0, 0]
]]], [[1, 9, 1, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [-1, -1], [-4, -4]]]], [[1, 9,
1, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v
^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608
, -22960369/8388608], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]]
, [[1, 9, 1, 1, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)),
x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-1, -1], [0, 0
]]]], [[1, 9, 1, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [-1, -1], [2344687/1048576, 
146543/65536]]]], [[1, 9, 1, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-1, -1], [4, 4]]]],
[[1, 10, 6, 7, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, 1 < y, z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [2, 2]
, [0, 0]]]], [[1, 14, 5, 1, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x
< 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144,
2965821/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[1, 14, 5, 1, 2], [v <
-2^(1/2), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3
, -3], [-7846825/4194304, -980853/524288]]]], [[1, 14, 5, 1, 3], [v < -2^(1/2)
, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [-1
/2, -1/2], [-3, -3], [0, 0]]]], [[1, 14, 5, 1, 4], [v < -2^(1/2), u = (v^2-1)^
(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3, -3], [980853/524288,
1961707/1048576]]]], [[1, 14, 5, 1, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455
/262144, 2965821/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[1, 16, 3, 5, 1
], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]]
, [[1, 16, 3, 5, 2], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [1/4,
1/4], [-1/2, -1/2]]]], [[1, 16, 3, 5, 3], [v < -2^(1/2), u = -v, And(-1 < x,x
< 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 16
, 3, 5, 4], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2], [1/4, 1/4], [1/
2, 1/2]]]], [[1, 16, 3, 5, 5], [v < -2^(1/2), u = -v, And(-1 < x,x < 0), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-1/2, -1/2
], [1/4, 1/4], [2, 2]]]], [[1, 21, 10, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u
, x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [5, 5], [15, 15], [-32, -32], [-6, -6]]]], [[1, 21, 10, 2, 2], [v < -
2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [5, 5], [15, 15], [-32, -32], [-2161695/
524288, -4323389/1048576]]]], [[1, 21, 10, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2)
< u, x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [15, 15], [-32, -32], [0, 0]]]]
, [[1, 21, 10, 2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*
u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [15, 15]
, [-32, -32], [4323389/1048576, 2161695/524288]]]], [[1, 21, 10, 2, 5], [v < -
2^(1/2), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [5, 5], [15, 15], [-32, -32], [6, 6]]]], [[2,
2, 5, 1, 1], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -\
1/2], [-4, -4], [-4, -4]]]], [[2, 2, 5, 1, 2], [v = -2^(1/2), u = -2, And(-1 <
x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/
1048576]]]], [[2, 2, 5, 1, 3], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y < -
x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[2, 2,
5, 1, 4], [v = -2^(1/2), u = -2, And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2]
, [-4, -4], [2224365/1048576, 1112183/524288]]]], [[2, 2, 5, 1, 5], [v = -2^(1
/2), u = -2, And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [-1/2, -1/2], [-4, -4], [4, 4]]]
], [[2, 9, 7, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1),
-u^2-x+1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1
/2, -1/2], [3/8, 3/8], [2, 2], [0, 0]]]], [[2, 11, 4, 8, 1], [v = -2^(1/2), 
And(0 < u,u < 1), x = -1, y = -u^2+2, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1, -1], [7/4, 7/4], [0, 0]]]], [[2, 17
, 3, 2, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y =
-u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-388511/524288, -1554043/2097152], [-3, -3]]]], [[2, 17, 3, 2, 2],
[v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z
= -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
388511/524288, -1554043/2097152], [-825991/524288, -3303963/2097152]]]], [[2,
17, 3, 2, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y
= -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/2097152], [-1/
4194304, -1/4194304]]]], [[2, 17, 3, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u <
2), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/2097152], [
1651981/1048576, 825991/524288]]]], [[2, 17, 3, 2, 5], [v = -2^(1/2), And(3^(1
/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/
2097152], [3, 3]]]], [[2, 18, 9, 1, 1], [v = -2^(1/2), u = 2, 1 < x, y < -x-3,
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [2, 2], [-6, -6], [-3, -3]]]], [[2, 18, 9, 1, 2], [v = -2^(1/2), u = 2, 1 <
x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [2, 2], [-6, -6], [-2, -2]]]], [[2, 18, 9, 1, 3], [v = -2^(1/
2), u = 2, 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2], [-6, -6],
[0, 0]]]], [[2, 18, 9, 1, 4], [v = -2^(1/2), u = 2, 1 < x, y < -x-3, z = (-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [2, 2],
[-6, -6], [2, 2]]]], [[2, 18, 9, 1, 5], [v = -2^(1/2), u = 2, 1 < x, y < -x-3,
(-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2]
, [2, 2], [-6, -6], [3, 3]]]], [[3, 3, 6, 1, 1], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [0, 0], [-4, -4], [-3, -3]]]], [[3, 3, 6, 1, 2],
[And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0,
y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-4, -4], [-2, -2]]
]], [[3, 3, 6, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-4, -4], [0, 0]]]], [[3, 3, 6, 1, 4], [And(-2^(1/2
) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2
-1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [0, 0], [-4, -4], [2, 2]]]], [[3, 3, 6,
1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-4, -4], [3
, 3]]]], [[3, 5, 4, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), x = -1, 1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [0, 0]]]], [
[3, 11, 3, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-149551/1048576, -149551/
1048576], [-3, -3]]]], [[3, 11, 3, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-\
149551/1048576, -149551/1048576], [-313245/262144, -1252979/1048576]]]], [[3,
11, 3, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(u^
2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-149551/
1048576, -149551/1048576], [0, 0]]]], [[3, 11, 3, 3, 4], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [-149551/1048576, -149551/1048576], [1252979/1048576, 313245/262144]
]]], [[3, 11, 3, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-5390713/4194304, -5390713/4194304], [-149551/1048576, -149551/
1048576], [3, 3]]]], [[3, 13, 3, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [
2029047/2097152, 2029047/2097152], [-2, -2]]]], [[3, 13, 3, 7, 2], [And(-2^(1/
2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And
(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/
2097152, -2587387/2097152], [2029047/2097152, 2029047/2097152], [-1082093/
2097152, -270523/524288]]]], [[3, 13, 3, 7, 3], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/
2097152, -2587387/2097152], [2029047/2097152, 2029047/2097152], [0, 0]]]], [[3
, 13, 3, 7, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [2029047/2097152, 
2029047/2097152], [270523/524288, 541047/1048576]]]], [[3, 13, 3, 7, 5], [And(
-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/
2097152, -2587387/2097152], [2029047/2097152, 2029047/2097152], [2, 2]]]], [[3
, 14, 3, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -\
1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [0, 0], [-3, -3]]]],
[[3, 14, 3, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x
< -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [0, 0], [-1284239/
1048576, -642119/524288]]]], [[3, 14, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-3/2, -3/2], [0, 0], [0, 0]]]], [[3, 14, 3, 4, 4], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[3
, 14, 3, 4, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-2 < x,x < -\
1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-3/2, -3/2], [0, 0], [3, 3]]]], [
[3, 16, 1, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = -x
, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536
, 1949649/1048576], [-4, -4], [4, 4], [-1, -1]]]], [[3, 16, 1, 6, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-4, -\
4], [4, 4], [0, 0]]]], [[3, 16, 1, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [121853/65536, 1949649/1048576], [-4, -4], [4, 4], [1, 1]]]], [[4,
4, 1, 2, 1], [v = -1, u = -2^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0]
, [-3, -3]]]], [[4, 4, 1, 2, 2], [v = -1, u = -2^(1/2), x < -2, y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3,
-3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[4, 4, 1, 2, 3], [v = -\
1, u = -2^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0]
, [-1/4194304, -1/4194304]]]], [[4, 4, 1, 2, 4], [v = -1, u = -2^(1/2), x < -2
, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[4, 4,
1, 2, 5], [v = -1, u = -2^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0]
, [3, 3]]]], [[4, 5, 11, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), 1 < x, y <
-u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[4, 5, 11, 1, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), 1 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [-5, -\
5], [-1816187/1048576, -3632373/2097152]]]], [[4, 5, 11, 1, 3], [v = -1, And(-
2^(1/2) < u,u < -1), 1 < x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [2, 2], [
-5, -5], [-1/4194304, -1/4194304]]]], [[4, 5, 11, 1, 4], [v = -1, And(-2^(1/2)
< u,u < -1), 1 < x, y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[4, 5, 11, 1, 5], [v = -1, And(-2^(1/2) < u,u < -1), 1 <
x, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [2, 2], [-5, -5], [3, 3]]]], [[4, 10, 3, 5, 1], [v = -1,
u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[4,
10, 3, 5, 2], [v = -1, u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[4, 10, 3, 5, 3], [v = -1, u = 1, And(-1 < x,x < 0), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1,
1], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[4, 10, 3, 5, 4], [v = -1, u = 1, 
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1,
-1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[4, 10, 3, 5, 5], [v =
-1, u = 1, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1, 1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[4, 12
, 4, 2, 1], [v = -1, u = 2^(1/2), x = -1, y = -1, z < -2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1]
, [-3, -3]]]], [[4, 12, 4, 2, 2], [v = -1, u = 2^(1/2), x = -1, y = -1, z = -2
^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1]
, [-1, -1], [-1482911/1048576, -741455/524288]]]], [[4, 12, 4, 2, 3], [v = -1,
u = 2^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[4
, 12, 4, 2, 4], [v = -1, u = 2^(1/2), x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1]
, [741455/524288, 1482911/1048576]]]], [[4, 12, 4, 2, 5], [v = -1, u = 2^(1/2)
, x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[5, 2, 4, 8, 1], [And(-1 < v
,v < 0), u = -(v^2+2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[-1/2, -1
/2], [-3/2, -3/2], [-1, -1], [2, 2], [0, 0]]]], [[5, 4, 1, 7, 1], [And(-1 < v,
v < 0), u = -(v^2+1)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[-1/2, -1
/2], [-146543/131072, -1172343/1048576], [-3, -3], [4, 4], [0, 0]]]], [[5, 11,
8, 4, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^
2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-1/2, -1/2], [343151/262144
, 343151/262144], [243021/524288, 486043/1048576], [-486043/1048576, -243021/
524288], [-1, -1]]]], [[5, 11, 8, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain,
[[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576]
, [-486043/1048576, -243021/524288], [0, 0]]]], [[5, 11, 8, 4, 3], [And(-1 < v
,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2
+1, 0 < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
243021/524288, 486043/1048576], [-486043/1048576, -243021/524288], [1, 1]]]],
[[5, 13, 5, 3, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [3, 3], [-1/2, -1/2], [-37/8, -37/8], [-4, -4]]]], [[5, 13, 5, 3, 2], [And(-\
1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0
), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-\
37/8, -37/8], [-2373815/1048576, -1186907/524288]]]], [[5, 13, 5, 3, 3], [And(
-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
3, 3], [-1/2, -1/2], [-37/8, -37/8], [0, 0]]]], [[5, 13, 5, 3, 4], [And(-1 < v
,v < 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-37/8,
-37/8], [1186907/524288, 2373815/1048576]]]], [[5, 13, 5, 3, 5], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-1/2, -1/2], [-37/8, -37
/8], [4, 4]]]], [[6, 5, 6, 6, 1], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = -u
^2+1, z < 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [3/4, 3/4],
[-1, -1]]]], [[6, 5, 6, 6, 2], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = -u^2+
1, z = 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [3/4, 3/4], [0
, 0]]]], [[6, 5, 6, 6, 3], [v = 0, And(-1 < u,u < 0), x = u^2-1, y = -u^2+1, 0
< z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3/4, -3/4], [3/4, 3/4], [1, 1]]
]], [[6, 7, 7, 3, 1], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(-u^2
-x-1 < y,y < u^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2]
, [-3/8, -3/8], [-5/8, -5/8], [-2, -2]]]], [[6, 7, 7, 3, 2], [v = 0, And(0 < u
,u < 1), And(u^2-1 < x,x < 0), And(-u^2-x-1 < y,y < u^2-x-1), z = -(-x-y)^(1/2
)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-5/8, -5/8], [-1, -1]]
]], [[6, 7, 7, 3, 3], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(-u^2
-x-1 < y,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-5/8, -5/8], [0, 0]]]], [[6
, 7, 7, 3, 4], [v = 0, And(0 < u,u < 1), And(u^2-1 < x,x < 0), And(-u^2-x-1 <
y,y < u^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/8,
-3/8], [-5/8, -5/8], [1, 1]]]], [[6, 7, 7, 3, 5], [v = 0, And(0 < u,u < 1), 
And(u^2-1 < x,x < 0), And(-u^2-x-1 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/8, -3/8], [-5/8, -5/8], [2, 2]]]], [[6
, 11, 6, 5, 1], [v = 0, 2^(1/2) < u, x = 0, And(0 < y,y < u^2-1), z = z], [
regular_chain, [[0, 0], [3, 3], [0, 0], [4, 4], [0, 0]]]], [[7, 2, 1, 4, 1], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-3, -3]]]], [[7,
2, 1, 4, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = -3^(
1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-1816187/
1048576, -3632373/2097152]]]], [[7, 2, 1, 4, 3], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[
1/2, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[7, 2
, 1, 4, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/
2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-4, -4], [1, 1], [908093/
524288, 1816187/1048576]]]], [[7, 2, 1, 4, 5], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [-4, -4], [1, 1], [3, 3]]]], [[7, 7, 8, 5, 1], [And(0 < v,v < 1), And(-v
< u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [0, 0], [0, 0], [-3/8, -3/8], [-2, -2]]]], [[7, 7, 8, 5, 2], [
And(0 < v,v < 1), And(-v < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3/8, -3/8], [-\
1284239/2097152, -642119/1048576]]]], [[7, 7, 8, 5, 3], [And(0 < v,v < 1), And
(-v < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)
^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3/8, -3/8], [0, 0]]]]
, [[7, 7, 8, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 0, And(-u^2+v^2-\
1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-\
3/8, -3/8], [642119/1048576, 80265/131072]]]], [[7, 7, 8, 5, 5], [And(0 < v,v
< 1), And(-v < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [0, 0], [-3/8, -3/8], [2, 2]]]], [[7, 9, 9
, 2, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631
/2097152, 1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608],
[-3, -3]]]], [[7, 9, 9, 2, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-3994043/2097152
, -15976171/8388608], [-19417/16384, -1242687/1048576]]]], [[7, 9, 9, 2, 3], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2
-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/
2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-3994043/2097152, -\
15976171/8388608], [0, 0]]]], [[7, 9, 9, 2, 4], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [
-3994043/2097152, -15976171/8388608], [1242687/1048576, 19417/16384]]]], [[7,
9, 9, 2, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1)
, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/
8388608], [3, 3]]]], [[7, 10, 9, 7, 1], [And(0 < v,v < 1), u = (v^2+1)^(1/2),
1 < x, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [1172343/1048576, 146543/
131072], [2, 2], [1, 1], [0, 0]]]], [[7, 12, 7, 3, 1], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[7
, 12, 7, 3, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x
-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [
1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[7, 12, 7, 3, 3],
[And(0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3
/2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[7, 12, 7, 3, 4], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-2, -2], [642119/524288,
1284239/1048576]]]], [[7, 12, 7, 3, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [3/2, 3/2], [1/2, 1/2], [-2, -2], [3, 3]]]], [[8, 4, 8, 2, 1], [v =
1, u = -2^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-3, -3]]]], [[8, 4, 8, 2,
2], [v = 1, u = -2^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[1, 1
], [-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[8, 4, 8, 2, 3], [v = 1, u = -2^(1/2), x = 1, y = -3, And(
-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [1, 1], [-3, -3], [0, 0]]]], [[8, 4, 8, 2, 4], [v = 1, u = -2^
(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576
, -741455/524288], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[8,
4, 8, 2, 5], [v = 1, u = -2^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain
, [[1, 1], [-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [3, 3]]]], [[
8, 6, 7, 3, 1], [v = 1, u = -1, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [-1, -1], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[8,
6, 7, 3, 2], [v = 1, u = -1, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1, -1], [2, 2], [-5/2, -5/2], [-1482911/2097152, -\
741455/1048576]]]], [[8, 6, 7, 3, 3], [v = 1, u = -1, 1 < x, And(-1-x < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1, -\
1], [2, 2], [-5/2, -5/2], [0, 0]]]], [[8, 6, 7, 3, 4], [v = 1, u = -1, 1 < x,
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [2
, 2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[8, 6, 7, 3, 5], [v = 1
, u = -1, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1,
1], [-1, -1], [2, 2], [-5/2, -5/2], [2, 2]]]], [[8, 11, 2, 6, 1], [v = 1, And(
1 < u,u < 2^(1/2)), x = -u^2, y = u^2, z < 0], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [763943
/524288, 1527887/1048576], [-1, -1]]]], [[8, 11, 2, 6, 2], [v = 1, And(1 < u,u
< 2^(1/2)), x = -u^2, y = u^2, z = 0], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [763943/524288,
1527887/1048576], [0, 0]]]], [[8, 11, 2, 6, 3], [v = 1, And(1 < u,u < 2^(1/2))
, x = -u^2, y = u^2, 0 < z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [763943/524288, 1527887/
1048576], [1, 1]]]], [[8, 13, 1, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-4, -4], [6, 6], [0, 0]]]], [[9, 3, 1, 3, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0
< y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [797593/
1048576, 797593/1048576], [-3, -3]]]], [[9, 3, 1, 3, 2], [And(1 < v,v < 2^(1/2
)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y <
-u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [797593/1048576, 
797593/1048576], [-7548997/4194304, -1887249/1048576]]]], [[9, 3, 1, 3, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v
^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [797593/1048576, 797593/1048576], [0, 0]]]], [[9,
3, 1, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [797593/1048576, 797593/1048576], [1887249/
1048576, 943625/524288]]]], [[9, 3, 1, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-\
1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [797593/1048576, 797593/
1048576], [3, 3]]]], [[9, 4, 9, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [2, 2], [-2, -2], [-1, -1]]]], [
[9, 4, 9, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, y = -x, z
= 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [-2, -2], [0, 0]]]], [[9, 4, 9, 4, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2],
[-2, -2], [1, 1]]]], [[9, 11, 11, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), 1 < x, y = 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [0, 0], [0, 0]]]],
[[9, 14, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x < -2, -x < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [-3, -3], [4, 4], [0, 0]]]], [[10, 2, 3, 1, 1], [v = 2^(1/2),
u = -2, And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [-2, -2], [-3, -3]]]], [[
10, 2, 3, 1, 2], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y < -x-3, z = -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -\
2], [-2, -2], [-2, -2]]]], [[10, 2, 3, 1, 3], [v = 2^(1/2), u = -2, And(-3 < x
,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [-2, -2], [0, 0]]]], [[
10, 2, 3, 1, 4], [v = 2^(1/2), u = -2, And(-3 < x,x < -1), y < -x-3, z = (-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-2, -2
], [-2, -2], [2, 2]]]], [[10, 2, 3, 1, 5], [v = 2^(1/2), u = -2, And(-3 < x,x
< -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-2, -2], [-2, -2], [3, 3]]]], [[10, 3, 11, 4, 1], [v = 2^
(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [2, 2],
[-2, -2], [-1, -1]]]], [[10, 3, 11, 4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/
2)), 1 < x, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576],
[-3913339/2097152, -3913339/2097152], [2, 2], [-2, -2], [0, 0]]]], [[10, 3, 11
, 4, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [2, 2], [-2, -2], [1, 1]]]], [[10, 8, 3, 2, 1], [v = 2^(1/2), u = -1
, And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[10, 8
, 3, 2, 2], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-1
/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[10, 8, 3, 2, 3], [v = 2^(1
/2), u = -1, And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [-1/
2, -1/2], [0, 0]]]], [[10, 8, 3, 2, 4], [v = 2^(1/2), u = -1, And(-2 < x,x < -\
1), y = -x-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[
10, 8, 3, 2, 5], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y = -x-2, 2^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2],
[-1/2, -1/2], [3, 3]]]], [[10, 10, 1, 8, 1], [v = 2^(1/2), u = 0, x < -3, y =
1-x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [-4, -\
4], [5, 5], [0, 0]]]], [[10, 15, 8, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)
), x = 0, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [0, 0], [1, 1], [0, 0]]]], [[10, 17, 8, 1,
1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y < -2*u^2+4, z < -(-u^2-
y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-4, -4], [-3, -3]
]]], [[10, 17, 8, 1, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y <
-2*u^2+4, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144],
[-4, -4], [-7866919/4194304, -15733837/8388608]]]], [[10, 17, 8, 1, 3], [v = 2
^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2)
< z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-4, -4],
[-5/16777216, -5/16777216]]]], [[10, 17, 8, 1, 4], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), x = u^2-3, y < -2*u^2+4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/
1048576, 126367/262144], [-4, -4], [1966729/1048576, 983365/524288]]]], [[10,
17, 8, 1, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = u^2-3, y < -2*u^2+4, (
-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [505467/1048576, 126367/262144], [-4, -4],
[3, 3]]]], [[10, 18, 6, 6, 1], [v = 2^(1/2), u = 2, x = 0, y = 1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [0, 0], [1, 1], [0,
0]]]], [[11, 1, 4, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, y = -u^2+v
^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [-16
, -16], [-6, -6]]]], [[11, 1, 4, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
-1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5],
[-1, -1], [-16, -16], [-2161695/524288, -4323389/1048576]]]], [[11, 1, 4, 2, 3
], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-1, -1],
[-16, -16], [0, 0]]]], [[11, 1, 4, 2, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x
= -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5],
[-1, -1], [-16, -16], [4323389/1048576, 2161695/524288]]]], [[11, 1, 4, 2, 5],
[2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[3, 3], [-5, -5], [-1, -1], [-16, -16], [6, 6]]]], [[11, 6,
6, 4, 1], [2^(1/2) < v, u = -v, x = 1, y = -1, z < 0], [regular_chain, [[3, 3]
, [-3, -3], [1, 1], [-1, -1], [-1, -1]]]], [[11, 6, 6, 4, 2], [2^(1/2) < v, u
= -v, x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [-3, -3], [1, 1], [-1, -\
1], [0, 0]]]], [[11, 6, 6, 4, 3], [2^(1/2) < v, u = -v, x = 1, y = -1, 0 < z],
[regular_chain, [[3, 3], [-3, -3], [1, 1], [-1, -1], [1, 1]]]], [[11, 8, 7, 5,
1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z =
z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2]
, [-1/4, -1/4], [0, 0]]]], [[11, 12, 4, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2)
, x = -1, 2 < y, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096
], [-1, -1], [3, 3], [0, 0]]]], [[11, 14, 2, 5, 1], [2^(1/2) < v, u = (v^2-1)^
(1/2), x = -2, 2 < y, z = z], [regular_chain, [[3, 3], [741455/262144, 2965821
/1048576], [-2, -2], [3, 3], [0, 0]]]], [[11, 19, 10, 9, 1], [2^(1/2) < v, And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [1, 1], [1, 1], [0, 0]]]], [[11, 
21, 8, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -\
1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1, 1], [-19/2, -19/2
], [-4, -4]]]], [[11, 21, 8, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, 
And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [5, 5
], [1, 1], [-19/2, -19/2], [-24456785/8388608, -1528549/524288]]]], [[11, 21,
8, 3, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1),
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [1,
1], [-19/2, -19/2], [0, 0]]]], [[11, 21, 8, 3, 4], [2^(1/2) < v, (v^2+2)^(1/2)
< u, x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3
, 3], [5, 5], [1, 1], [-19/2, -19/2], [1528549/524288, 3057099/1048576]]]], [[
11, 21, 8, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y
< -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [1, 1], [-19/2, -19
/2], [4, 4]]]], [[1, 1, 7, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x
,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-1/
2, -1/2], [-1, -1]]]], [[1, 1, 7, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1
/2], [-1/2, -1/2], [0, 0]]]], [[1, 1, 7, 4, 3], [v < -2^(1/2), u < -(v^2+2)^(1
/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-5, -5], [1
/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 2, 9, 5, 1], [v < -2^(1/2), u = -(v^2+
2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-3/2, -3/2], [0, 0]]]], [[1, 9, 4,
4, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y =
0, z < -1], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[-1, -1], [0, 0], [-2, -2]]]], [[1, 9, 4, 4, 2], [v < -2^(1/2), And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [-1, -1], [0, 0], [-1, -1]]]], [[1,
9, 4, 4, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1
, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [0, 0], [0, 0]]]], [[1, 9, 4, 4, 4], [v < -2^(1/2
), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [0
, 0], [1, 1]]]], [[1, 9, 4, 4, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [0, 0], [2, 2]]]], [[1, 10, 6, 3, 1], [
v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3/2
, -3/2], [-3, -3]]]], [[1, 10, 6, 3, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x
= 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543
/2097152, -2774271/1048576], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/
524288]]]], [[1, 10, 6, 3, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(-\
3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [0, 0], [-3/2, -3/2], [0, 0]]]], [[1, 10
, 6, 3, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), z = (
-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [
0, 0], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[1, 10, 6, 3, 5], [
v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3/2,
-3/2], [3, 3]]]], [[1, 14, 7, 1, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 <
x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[1, 14, 7, 1, 2]
, [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1
/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2],
[-4, -4], [-7846825/4194304, -980853/524288]]]], [[1, 14, 7, 1, 3], [v < -2^(1
/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [
1/2, 1/2], [-4, -4], [0, 0]]]], [[1, 14, 7, 1, 4], [v < -2^(1/2), u = (v^2-1)^
(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3
], [741455/262144, 2965821/1048576], [1/2, 1/2], [-4, -4], [980853/524288, 
1961707/1048576]]]], [[1, 14, 7, 1, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[1, 15, 11, 6, 1],
[v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -x, z < 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-2, -2]
, [-1, -1]]]], [[1, 15, 11, 6, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [2, 2], [-2, -2], [0, 0]]]], [[1, 15, 11, 6, 3], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [2, 2], [-2, -2], [1, 1]]]], [[2, 1, 2, 5,
1], [v = -2^(1/2), u < -2, x = -u^2+1, And(u^2-1 < y,y < 2*u^2-4), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [11, 
11], [0, 0]]]], [[2, 2, 4, 6, 1], [v = -2^(1/2), u = -2, x = -1, y = 1, z < 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [1,
1], [-1, -1]]]], [[2, 2, 4, 6, 2], [v = -2^(1/2), u = -2, x = -1, y = 1, z = 0
], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [1
, 1], [0, 0]]]], [[2, 2, 4, 6, 3], [v = -2^(1/2), u = -2, x = -1, y = 1, 0 < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [1
, 1], [1, 1]]]], [[2, 9, 8, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+
1, y = u^2-1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1
/2, -1/2], [3/4, 3/4], [-3/4, -3/4], [-1, -1]]]], [[2, 9, 8, 4, 2], [v = -2^(1
/2), And(-1 < u,u < 0), x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4], [-3/4, -3/4], [0,
0]]]], [[2, 9, 8, 4, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y = u^2
-1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2],
[3/4, 3/4], [-3/4, -3/4], [1, 1]]]], [[2, 11, 1, 5, 1], [v = -2^(1/2), And(0 <
u,u < 1), x < u^2-3, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [21/
8, 21/8], [-3, -3]]]], [[2, 11, 1, 5, 2], [v = -2^(1/2), And(0 < u,u < 1), x <
u^2-3, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [21/8, 21/8], [-1229565/
1048576, -307391/262144]]]], [[2, 11, 1, 5, 3], [v = -2^(1/2), And(0 < u,u < 1
), x < u^2-3, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4],
[21/8, 21/8], [0, 0]]]], [[2, 11, 1, 5, 4], [v = -2^(1/2), And(0 < u,u < 1), x
< u^2-3, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [21/8, 21/8], [307391/
262144, 1229565/1048576]]]], [[2, 11, 1, 5, 5], [v = -2^(1/2), And(0 < u,u < 1
), x < u^2-3, And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [21/8, 21/8], [3, 3]]]
], [[2, 17, 5, 4, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0)
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2,
17, 5, 4, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[2, 17, 5, 4, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1
/2, -1/2], [0, 0], [0, 0]]]], [[2, 17, 5, 4, 4], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -\
1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[2, 17, 5, 4, 5], [v = -2^(1/
2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2, 18, 7, 5, 1], [v = -2^(1/2), u
= 2, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3, 3,
6, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [501965/
2097152, 501965/2097152], [0, 0]]]], [[3, 5, 1, 6, 1], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [646847/262144, 2587389/1048576]
, [-2, -2]]]], [[3, 5, 1, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2)
< u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [646847/262144, 2587389/1048576], [-1530309/
2097152, -382577/524288]]]], [[3, 5, 1, 6, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [646847/
262144, 2587389/1048576], [0, 0]]]], [[3, 5, 1, 6, 4], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [646847/262144, 2587389/1048576]
, [382577/524288, 765155/1048576]]]], [[3, 5, 1, 6, 5], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2
+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [646847/262144, 2587389/1048576]
, [2, 2]]]], [[3, 11, 5, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-374737/524288, -374737/524288], [149551/1048576, 
149551/1048576], [-2, -2]]]], [[3, 11, 5, 5, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+
v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[149551/1048576, 149551/1048576], [-3172545/4194304, -49571/65536]]]], [[3, 11
, 5, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-374737/524288, -374737/524288], [149551/1048576, 
149551/1048576], [0, 0]]]], [[3, 11, 5, 5, 4], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-
x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [149551/
1048576, 149551/1048576], [49571/65536, 793137/1048576]]]], [[3, 11, 5, 5, 5],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+
v^2-1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [149551/1048576, 149551/1048576], [2, 2]]]], [[3, 13
, 2, 2, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2
+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [0, 0], [-3, -3]]]], [[3, 13, 2, 2, 2], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [0, 0], [-\
1270261/1048576, -317565/262144]]]], [[3, 13, 2, 2, 3], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [0, 0], [0, 0]]]], [[3, 13, 2, 2, 4], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-384703/262144, -1538811/1048576], [0, 0], [317565/262144,
1270261/1048576]]]], [[3, 13, 2, 2, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-384703/262144, -1538811/1048576], [0, 0], [3, 3]]]], [[3,
14, 5, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0),
y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [
[3, 14, 5, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x <
0), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[3, 14, 5, 2, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576
, 410915/262144], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[3, 14, 5, 2, 4], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z =
2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/
1048576]]]], [[3, 14, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/2, -3/2
], [3, 3]]]], [[3, 15, 10, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-1, -1],
[-1, -1]]]], [[3, 15, 10, 4, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-1, -1],
[0, 0]]]], [[3, 15, 10, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-1, -1],
[1, 1]]]], [[4, 4, 5, 4, 1], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), y = 0,
z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4, 4, 5, 4, 2], [v = -1, u = -2^(1/2),
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[4, 4, 5, 4, 3], [v = -1, u = -2^(1/2), And(-1 < x,x < 0)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 4, 5,
4, 4], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [0
, 0], [741455/1048576, 46341/65536]]]], [[4, 4, 5, 4, 5], [v = -1, u = -2^(1/2
), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [2, 2]]]], [[4, 5, 10,
6, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, y = -1, z < 0], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-1, -\
1], [-1, -1]]]], [[4, 5, 10, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 1,
y = -1, z = 0], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [1, 1], [-1, -1], [0, 0]]]], [[4, 5, 10, 6, 3], [v = -1, And(-2^(1/2) < u,u
< -1), x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1, -1], [1, 1]]]], [[4, 10, 5, 5, 1], [v = -1, u =
1, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [1,
1], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[4, 12, 1, 1, 1], [v = -1, u = 2^(1/
2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[4, 12, 1, 1, 2],
[v = -1, u = 2^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[4, 
12, 1, 1, 3], [v = -1, u = 2^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-\
3, -3], [-1, -1], [0, 0]]]], [[4, 12, 1, 1, 4], [v = -1, u = 2^(1/2), x < -2,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3, -3], [-1, -1], [2, 2]]]], [[4, 12, 1, 1, 5], [v = -1, u = 2^(1/
2), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[5, 2, 8, 2, 1], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-4, -4], [-3, -3]]]], [[5
, 2, 8, 2, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y = -4, z = -3^(
1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-4, -4], [-\
1816187/1048576, -3632373/2097152]]]], [[5, 2, 8, 2, 3], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[5, 2, 8, 2, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1,
y = -4, z = 3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-4
, -4], [908093/524288, 1816187/1048576]]]], [[5, 2, 8, 2, 5], [And(-1 < v,v <
0), u = -(v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-3/2, -3/2], [1, 1], [-4, -4], [3, 3]]]], [[5, 4, 1, 3, 1], [And(-1 < v
,v < 0), u = -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [
1/2, 1/2], [-3, -3]]]], [[5, 4, 1, 3, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/
2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1/2, 1/2], [-3315889/
2097152, -207243/131072]]]], [[5, 4, 1, 3, 3], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3],
[1/2, 1/2], [0, 0]]]], [[5, 4, 1, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2
), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [-146543/131072, -1172343/1048576], [-3, -3], [1/2, 1/2], [207243/131072,
1657945/1048576]]]], [[5, 4, 1, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-146543/131072, -1172343/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[5, 11,
9, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^
2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152],
[-5, -5], [-4, -4]]]], [[5, 11, 9, 1, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
1534619/2097152, 1534619/2097152], [-5, -5], [-270791/131072, -2166327/1048576
]]]], [[5, 11, 9, 1, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[1534619/2097152, 1534619/2097152], [-5, -5], [0, 0]]]], [[5, 11, 9, 1, 4], [
And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x
,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5], [
2166327/1048576, 270791/131072]]]], [[5, 11, 9, 1, 5], [And(-1 < v,v < 0), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-
x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [1534619/2097152, 1534619/2097152], [-5, -5], [4, 4]]]], [[5, 13, 1,
9, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, u^2-v^2-x-1 < y,
z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [20, 20], [0, 0]]]]
, [[6, 5, 9, 3, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(-u^2-x-1
< y,y < u^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [
1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[6, 5, 9, 3, 2], [v = 0, And(-1 < u,u <
0), And(0 < x,x < 1), And(-u^2-x-1 < y,y < u^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [
[6, 5, 9, 3, 3], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(-u^2-x-1 < y
,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0,
0], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[6, 5, 9, 3, 4], [v =
0, And(-1 < u,u < 0), And(0 < x,x < 1), And(-u^2-x-1 < y,y < u^2-x-1), z = (-x
-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [
1, 1]]]], [[6, 5, 9, 3, 5], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(-
u^2-x-1 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -\
1/2], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[6, 7, 5, 7, 1], [v = 0, And(0 < u
,u < 1), And(-1 < x,x < u^2-1), And(u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/2, 1/2], [-2, -2]]]], [[6
, 7, 5, 7, 2], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(u^2-x-1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/
8], [1/2, 1/2], [-1284239/2097152, -642119/1048576]]]], [[6, 7, 5, 7, 3], [v =
0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(u^2-x-1 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -\
7/8], [1/2, 1/2], [0, 0]]]], [[6, 7, 5, 7, 4], [v = 0, And(0 < u,u < 1), And(-\
1 < x,x < u^2-1), And(u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/2, 1/2], [642119/1048576, 80265/131072]]
]], [[6, 7, 5, 7, 5], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(u^2
-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-7/
8, -7/8], [1/2, 1/2], [2, 2]]]], [[6, 11, 7, 2, 1], [v = 0, 2^(1/2) < u, And(0
< x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3]
, [1/2, 1/2], [-21/2, -21/2], [-5, -5]]]], [[6, 11, 7, 2, 2], [v = 0, 2^(1/2)
< u, And(0 < x,x < 1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [3, 3], [1/2, 1/2], [-21/2, -21/2], [-3315889/1048576, -207243/65536]]]],
[[6, 11, 7, 2, 3], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y = -u^2-x-1, And(-(
u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [3, 3], [1/2, 1
/2], [-21/2, -21/2], [0, 0]]]], [[6, 11, 7, 2, 4], [v = 0, 2^(1/2) < u, And(0
< x,x < 1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3],
[1/2, 1/2], [-21/2, -21/2], [207243/65536, 3315889/1048576]]]], [[6, 11, 7, 2,
5], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-21/2, -21/2], [5, 5]]]], [[7, 1,
9, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8
, 35/8], [-16, -16], [-5, -5]]]], [[7, 1, 9, 1, 2], [And(0 < v,v < 1), u < -(v
^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-16, -16], [-27931/8192,
-3575167/1048576]]]], [[7, 1, 9, 1, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-16, -16], [0, 0
]]]], [[7, 1, 9, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u
^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
-3, -3], [35/8, 35/8], [-16, -16], [3575167/1048576, 27931/8192]]]], [[7, 1, 9
, 1, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8,
35/8], [-16, -16], [5, 5]]]], [[7, 7, 10, 9, 1], [And(0 < v,v < 1), And(-v < u
,u < v), x = 1, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [1
, 1], [0, 0]]]], [[7, 9, 7, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1
/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [0, 0], [-2, -2]]]], [[7, 9, 7, 6, 2], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [0, 0], [-1144335/2097152, -572167/1048576]]]], [[
7, 9, 7, 6, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [0, 0], [0, 0]]]], [[7, 9, 7, 6, 4], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [0, 0], [572167/1048576, 71521/131072]]]], [[7, 9,
7, 6, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [0, 0], [2, 2]]]], [[7
, 11, 2, 3, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/1048576,
-1291597/524288], [1291597/1048576, 1291597/1048576], [-3, -3]]]], [[7, 11, 2,
3, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v
^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288],
[1291597/1048576, 1291597/1048576], [-1163761/1048576, -72735/65536]]]], [[7,
11, 2, 3, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^
2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
-2583195/1048576, -1291597/524288], [1291597/1048576, 1291597/1048576], [0, 0]
]]], [[7, 11, 2, 3, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/1048576,
-1291597/524288], [1291597/1048576, 1291597/1048576], [72735/65536, 1163761/
1048576]]]], [[7, 11, 2, 3, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/1048576, 1291597/1048576], [3, 3]]]], [[7,
12, 4, 8, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, y = 2, z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [2, 2], [0, 0]]]], [[8, 5, 2
, 7, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, u^2 < y, z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [3, 3], [0, 0]]]], [[8, 6, 6, 6, 1], [v = 1, u = -1,
x = 1, y = 0, z = z], [regular_chain, [[1, 1], [-1, -1], [1, 1], [0, 0], [0, 0
]]]], [[8, 11, 4, 2, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = -u^2+1, z
< -u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1],
[-479311/1048576, -239655/524288], [-3, -3]]]], [[8, 11, 4, 2, 2], [v = 1, And
(1 < u,u < 2^(1/2)), x = -1, y = -u^2+1, z = -u], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288]
, [-1265743/1048576, -1265743/1048576]]]], [[8, 11, 4, 2, 3], [v = 1, And(1 <
u,u < 2^(1/2)), x = -1, y = -u^2+1, And(-u < z,z < u)], [regular_chain, [[1, 1
], [1265743/1048576, 1265743/1048576], [-1, -1], [-479311/1048576, -239655/
524288], [0, 0]]]], [[8, 11, 4, 2, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1,
y = -u^2+1, z = u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1, -1], [-479311/1048576, -239655/524288], [1265743/1048576, 1265743/
1048576]]]], [[8, 11, 4, 2, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = -u
^2+1, u < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1
, -1], [-479311/1048576, -239655/524288], [3, 3]]]], [[8, 12, 8, 3, 1], [v = 1
, u = 2^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[8,
12, 8, 3, 2], [v = 1, u = 2^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2
)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-2, -2
], [-1, -1]]]], [[8, 12, 8, 3, 3], [v = 1, u = 2^(1/2), x = 1, And(-3 < y,y <
-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [1, 1], [-2, -2], [0, 0]]]], [[8, 12, 8, 3, 4
], [v = 1, u = 2^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-2, -2], [1
, 1]]]], [[8, 12, 8, 3, 5], [v = 1, u = 2^(1/2), x = 1, And(-3 < y,y < -1), (-
y-1)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1
, 1], [-2, -2], [2, 2]]]], [[9, 3, 4, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
, -1], [1, 1], [-1, -1]]]], [[9, 3, 4, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
, -1], [1, 1], [0, 0]]]], [[9, 3, 4, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
, -1], [1, 1], [1, 1]]]], [[9, 4, 8, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2
+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1, 1], [1, 1], [0, 0]]]], [[9,
12, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(0 < y,y < -1-x), z <
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[9, 12, 1, 3, 2
], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]],
[[9, 12, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(0 < y,y < -1-x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1/2, 1/2], [0
, 0]]]], [[9, 12, 1, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(0 < y,
y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1/2, 1/2], [642119/
524288, 1284239/1048576]]]], [[9, 12, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u = v
, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1/2,
1/2], [3, 3]]]], [[9, 13, 9, 6, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^
2+1)^(1/2)), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1
/2, -1/2], [-1, -1]]]], [[9, 13, 9, 6, 2], [And(1 < v,v < 2^(1/2)), And(v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1
/2], [-1/2, -1/2], [0, 0]]]], [[9, 13, 9, 6, 3], [And(1 < v,v < 2^(1/2)), And(
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1
/2], [-1/2, -1/2], [1, 1]]]], [[10, 2, 5, 3, 1], [v = 2^(1/2), u = -2, And(-1
< x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [
[10, 2, 5, 3, 2], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), And(-x-3 < y,y < 0)
, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[10, 2,
5, 3, 3], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[10, 2, 5, 3, 4],
[v = 2^(1/2), u = -2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2],
[-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[10, 2, 5, 3, 5], [v = 2^(1/2
), u = -2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-5/
4, -5/4], [3, 3]]]], [[10, 3, 10, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)
), x = 1, y < -u^2, z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [-5, -5], [-3,
-3]]]], [[10, 3, 10, 1, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y <
-u^2, z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-3913339/2097152, -3913339/2097152], [1, 1], [-5, -5], [-2, -2]]]], [[10, 3, 
10, 1, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y < -u^2, And(-(-y-1
)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [-5, -5], [0, 0]]]], [
[10, 3, 10, 1, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y < -u^2, z
= (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [1, 1], [-5, -5], [2, 2]]]], [[10, 3, 10, 1, 5], [
v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y < -u^2, (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [1, 1], [-5, -5], [3, 3]]]], [[10, 8, 3, 6, 1], [v = 2^(1/2), u = -1
, And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911
/1048576], [-1, -1], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[10, 8, 3, 6, 2],
[v = 2^(1/2), u = -1, And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]]
, [[10, 8, 3, 6, 3], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), y = -x, 0 < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3/2], [3/
2, 3/2], [1, 1]]]], [[10, 9, 9, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-u
^2+1 < x,x < 1), And(-u^2-x+1 < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-1/16, -1/16], [0, 0]]]],
[[10, 15, 11, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = -u^2-x+1
, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [2, 2], [-1821767/524288, -3643533/1048576]
, [-3, -3]]]], [[10, 15, 11, 2, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 <
x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-1821767/524288, -\
3643533/1048576], [-1273381/1048576, -318345/262144]]]], [[10, 15, 11, 2, 3],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [2, 2], [-1821767/524288, -3643533/1048576]
, [0, 0]]]], [[10, 15, 11, 2, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x,
y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-1821767/524288, -\
3643533/1048576], [318345/262144, 1273381/1048576]]]], [[10, 15, 11, 2, 5], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [-1821767/524288, -3643533/1048576], [3, 3]]]], [[10, 17, 6,
5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(0 < y,y < u^2-3), z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [0, 0], [505467/2097152, 505467/2097152], [0, 0]]]], [[10, 
18, 8, 2, 1], [v = 2^(1/2), u = 2, x = 1, y = -4, z < -3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [-4, -4], [-\
3, -3]]]], [[10, 18, 8, 2, 2], [v = 2^(1/2), u = 2, x = 1, y = -4, z = -3^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [-4, -4
], [-1816187/1048576, -3632373/2097152]]]], [[10, 18, 8, 2, 3], [v = 2^(1/2),
u = 2, x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [2, 2], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]
]], [[10, 18, 8, 2, 4], [v = 2^(1/2), u = 2, x = 1, y = -4, z = 3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[10, 18, 8, 2, 5], [v = 2^(1/2), u = 2, x
= 1, y = -4, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[2, 2], [1, 1], [-4, -4], [3, 3]]]], [[11, 1, 1, 7, 1], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [51/2, 51/2], [0, 0]]]], [[11, 7
, 3, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-266003
/1048576, -133001/524288], [-3, -3]]]], [[11, 7, 3, 2, 2], [2^(1/2) < v, And(-
v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [-266003/1048576, -133001/524288],
[-1287385/1048576, -160923/131072]]]], [[11, 7, 3, 2, 3], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^
2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-266003
/1048576, -133001/524288], [0, 0]]]], [[11, 7, 3, 2, 4], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-657289/524288, -657289/524288], [-266003/1048576, -133001/524288], [160923/
131072, 1287385/1048576]]]], [[11, 7, 3, 2, 5], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [-266003/1048576, -133001/524288], [3, 3]]]], [[11, 8
, 7, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304]
, [1/2, 1/2], [-4, -4], [-3, -3]]]], [[11, 8, 7, 1, 2], [2^(1/2) < v, u = -(v^
2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-4, -4], [-7846825/
4194304, -980853/524288]]]], [[11, 8, 7, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-4
, -4], [0, 0]]]], [[11, 8, 7, 1, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 <
x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/
1048576]]]], [[11, 8, 7, 1, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x
< 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [1/2, 1/2], [-4, -4], [3, 3]]]], [[11, 12, 6, 3, 1], [2^(1
/2) < v, u = (v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [-3/2, -3/2], [
-3, -3]]]], [[11, 12, 6, 3, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, And(-3
< y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837
/4096], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[11, 12,
6, 3, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [0, 0], [-3/2, -3/2], [0, 0]]]], [[11, 12, 6, 3, 4], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [0, 0], [-3/2, -3/2], [642119/524288, 
1284239/1048576]]]], [[11, 12, 6, 3, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x =
0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [0, 0], [-3/2, -3/2], [3, 3]]]], [[11, 13, 11, 1, 1], [2
^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[2, 2], [-6, -6], [-3, -3]]]], [[11, 13, 11, 1, 2], [2^(1/2) < v, And((v^2-2)^
(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-6, -6], [-\
2, -2]]]], [[11, 13, 11, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1
)^(1/2)), 1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-6, -6], [0
, 0]]]], [[11, 13, 11, 1, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^
(1/2)), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [2, 2], [-6, -6], [2, 2]]]], [[11, 13, 11, 1,
5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2
-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [2, 2], [-6, -6], [3, 3]]]], [[11, 20, 3, 3, 1], [2^(1/2) < v, u = (v
^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -1
/2], [-3, -3]]]], [[11, 20, 3, 3, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3
< x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -1/2], [-3315889/2097152,
-207243/131072]]]], [[11, 20, 3, 3, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-\
3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -\
1/2], [0, 0]]]], [[11, 20, 3, 3, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 <
x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -1/2], [207243/131072, 
1657945/1048576]]]], [[11, 20, 3, 3, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(
-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3
], [3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[11,
21, 7, 8, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = u^2-v^2-x
-1, z = z], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [29/2, 29/2], [0, 0]]
]], [[1, 4, 3, 1, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y
< -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[1, 4, 3, 1, 2], [v < -2^
(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-2
, -2], [-7846825/4194304, -980853/524288]]]], [[1, 4, 3, 1, 3], [v < -2^(1/2),
u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-\
3/2, -3/2], [-2, -2], [0, 0]]]], [[1, 4, 3, 1, 4], [v < -2^(1/2), u = -(v^2+1)
^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-2, -2], [980853/524288
, 1961707/1048576]]]], [[1, 4, 3, 1, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[1, 5, 8,
5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,
y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [0, 0], [-1062385/4194304, -1062385/4194304], [-2, -2]]]], [[1, 5, 8,
5, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,
y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [0, 0], [-1062385/4194304, -1062385/4194304], [-527729/1048576, -\
1055457/2097152]]]], [[1, 5, 8, 5, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-1062385/
4194304, -1062385/4194304], [-1/4194304, -1/4194304]]]], [[1, 5, 8, 5, 4], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < 0), z
= (-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0
, 0], [-1062385/4194304, -1062385/4194304], [32983/65536, 527729/1048576]]]],
[[1, 5, 8, 5, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(u^2
-v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072
, -403851/131072], [0, 0], [-1062385/4194304, -1062385/4194304], [2, 2]]]], [[
1, 11, 10, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
= -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-3, -3], [0, 0], [8, 8]
, [-8, -8], [-1, -1]]]], [[1, 11, 10, 4, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain,
[[-3, -3], [0, 0], [8, 8], [-8, -8], [0, 0]]]], [[1, 11, 10, 4, 3], [v < -2^(1
/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1,
0 < z], [regular_chain, [[-3, -3], [0, 0], [8, 8], [-8, -8], [1, 1]]]], [[1, 
13, 3, 7, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2
-v^2-1 < x,x < -1), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3
, -3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [
526475/262144, 526475/262144], [0, 0]]]], [[1, 17, 8, 3, 1], [v < -2^(1/2), 
And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -
(-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0]
, [-1, -1], [-2, -2]]]], [[1, 17, 8, 3, 2], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-1, -1], [-\
1, -1]]]], [[1, 17, 8, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
= 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-1, -1], [
0, 0]]]], [[1, 17, 8, 3, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [0, 0], [-1, -1], [1, 1]]]], [[1, 17, 8, 3
, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,
y < u^2-v^2-1), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [0, 0], [-1, -1], [2, 2]]]], [[1, 19, 3, 4, 1], [v < -2^(1/2),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-915943/524288, -915943/524288], [0, 0], [-3, -3]]]], [[1, 19, 3, 4, 2], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [0, 0], [-346489/262144, -\
1385955/1048576]]]], [[1, 19, 3, 4, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (
-x)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
915943/524288, -915943/524288], [0, 0], [0, 0]]]], [[1, 19, 3, 4, 4], [v < -2^
(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
= 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [0, 0], [1385955/1048576, 346489/
262144]]]], [[1, 19, 3, 4, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288
], [0, 0], [3, 3]]]], [[2, 3, 8, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)
), x = u^2-3, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144]
, [1, 1], [0, 0]]]], [[2, 5, 3, 8, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
And(-u^2+1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [1297479/1048576, 1297479/1048576], [-1, -1]]]], [[2, 5, 3,
8, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = -x,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304
, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [1297479/1048576, 
1297479/1048576], [0, 0]]]], [[2, 5, 3, 8, 3], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), And(-u^2+1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [1297479/1048576, 1297479/1048576], [1, 1]]]], [[2
, 6, 7, 2, 1], [v = -2^(1/2), u = v, 1 < x, y = -1-x, z < -1], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2
], [-3, -3], [-2, -2]]]], [[2, 6, 7, 2, 2], [v = -2^(1/2), u = v, 1 < x, y = -\
1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [2, 2], [-3, -3], [-1, -1]]]], [[2, 6, 7, 2, 3], [v
= -2^(1/2), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2],
[-3, -3], [0, 0]]]], [[2, 6, 7, 2, 4], [v = -2^(1/2), u = v, 1 < x, y = -1-x,
z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576
, -741455/524288], [2, 2], [-3, -3], [1, 1]]]], [[2, 6, 7, 2, 5], [v = -2^(1/2
), u = v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [2, 2]]]], [[2
, 8, 2, 5, 1], [v = -2^(1/2), u = -1, x = -2, 2 < y, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [3, 3], [0, 0]]]], [[2
, 14, 3, 3, 1], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[2,
14, 3, 3, 2], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455
/524288, 1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -\
3632373/4194304]]]], [[2, 14, 3, 3, 3], [v = -2^(1/2), u = -v, And(-1 < x,x <
0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]], [[2, 14, 3,
3, 4], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576, 454047/524288
]]]], [[2, 14, 3, 3, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), And(-1-x <
y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]
]], [[2, 15, 10, 5, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(u^2
-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-1323961/1048576,
-1323961/1048576], [-2, -2]]]], [[2, 15, 10, 5, 2], [v = -2^(1/2), And(-v < u,
u < 3^(1/2)), x = 1, And(u^2-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1,
1], [-1323961/1048576, -1323961/1048576], [-268683/524288, -1074731/2097152]]]
], [[2, 15, 10, 5, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(u^2-\
4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1],
[-1323961/1048576, -1323961/1048576], [-1/4194304, -1/4194304]]]], [[2, 15, 10
, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(u^2-4 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [1, 1], [-1323961/1048576, -1323961/1048576
], [537365/1048576, 268683/524288]]]], [[2, 15, 10, 5, 5], [v = -2^(1/2), And(
-v < u,u < 3^(1/2)), x = 1, And(u^2-4 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1, 1], [-1323961/1048576, -1323961/1048576], [2, 2]]]], [[2, 19, 11
, 5, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, And(-x < y,y < u^2-x-3), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-4, -4],
[0, 0]]]], [[3, 2, 2, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x
= -3, y = 3, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-3, -3], [3, 3], [-1, -1]]]], [[3, 2, 2,
4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y = 3, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [3, 3], [0, 0]]]], [[3, 2, 2, 4, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [3, 3], [1, 1]]]], [[3, 8, 5, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2
-1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [0, 0], [-2, -2]]]], [[3, 8, 5, 4, 2], [And(-2^(1/2) < v,v < -1), u = -
(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[3, 8, 5, 4, 3], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [0, 0]]]],
[[3, 8, 5, 4, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[3, 8, 5, 4, 5], [And(-2^(1/2) < v,v < -1), u = -(v
^2-1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [0, 0], [2, 2]]]], [[3, 9, 10, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-\
1138531/2097152, -569265/1048576], [0, 0]]]], [[3, 17, 3, 5, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-10006449/2097152, -10006449/2097152], [625403/262144, 625403/262144], [-\
3, -3]]]], [[3, 17, 3, 5, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, 
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [625403/262144, 625403/262144], [-3239217/2097152
, -202451/131072]]]], [[3, 17, 3, 5, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1
/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-10006449/2097152, -10006449/2097152], [625403/262144, 625403/262144], [0
, 0]]]], [[3, 17, 3, 5, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(
-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [625403/262144, 625403/262144], [202451/131072, 1619609/1048576]]]],
[[3, 17, 3, 5, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-\
1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [625403/262144, 625403/262144], [3, 3]]]], [[4, 1, 5, 4, 1], [v = -1
, u < -3^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
-1, -1], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4, 1, 5, 4, 2], [v = -\
1, u < -3^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[-1, -1], [-3, -3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]
]], [[4, 1, 5, 4, 3], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y = 0, And(-(-
x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/
2], [0, 0], [0, 0]]]], [[4, 1, 5, 4, 4], [v = -1, u < -3^(1/2), And(-1 < x,x <
0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2],
[0, 0], [741455/1048576, 46341/65536]]]], [[4, 1, 5, 4, 5], [v = -1, u < -3^(1
/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3
, -3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[4, 7, 7, 3, 1], [v = -1, And(-1 < u,
u < 0), And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-7/8, -7/8], [-2, -2]]
]], [[4, 7, 7, 3, 2], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2
-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-1/8, -1/8], [-7/8, -7/8], [-1, -1]]]], [[4, 7, 7, 3, 3], [v = -1, And(-\
1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1
/8], [-7/8, -7/8], [0, 0]]]], [[4, 7, 7, 3, 4], [v = -1, And(-1 < u,u < 0), 
And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-7/8, -7/8], [1, 1]]]],
[[4, 7, 7, 3, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2-x-2
< y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [
-1/8, -1/8], [-7/8, -7/8], [2, 2]]]], [[4, 9, 2, 2, 1], [v = -1, And(0 < u,u <
1), x = u^2-2, y = 0, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1
/2], [-7/4, -7/4], [0, 0], [-3, -3]]]], [[4, 9, 2, 2, 2], [v = -1, And(0 < u,u
< 1), x = u^2-2, y = 0, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2,
1/2], [-7/4, -7/4], [0, 0], [-10837/8192, -1387135/1048576]]]], [[4, 9, 2, 2,
3], [v = -1, And(0 < u,u < 1), x = u^2-2, y = 0, And(-(-u^2+2)^(1/2) < z,z < (
-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [0, 0],
[0, 0]]]], [[4, 9, 2, 2, 4], [v = -1, And(0 < u,u < 1), x = u^2-2, y = 0, z =
(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [0, 0],
[1387135/1048576, 10837/8192]]]], [[4, 9, 2, 2, 5], [v = -1, And(0 < u,u < 1),
x = u^2-2, y = 0, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2],
[-7/4, -7/4], [0, 0], [3, 3]]]], [[4, 13, 7, 2, 1], [v = -1, And(2^(1/2) < u,u
< 3^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, z < -u], [regular_chain, [[-1, -\
1], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-\
5687721/2097152, -710965/262144], [-3, -3]]]], [[4, 13, 7, 2, 2], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [-5687721/2097152, -710965/262144], [-3299097/2097152, -\
3299097/2097152]]]], [[4, 13, 7, 2, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(0 < x,x < u^2-2), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-\
5687721/2097152, -710965/262144], [-1/4194304, -1/4194304]]]], [[4, 13, 7, 2,
4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, z
= u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/
2097152, 497805/2097152], [-5687721/2097152, -710965/262144], [412387/262144,
1649549/1048576]]]], [[4, 13, 7, 2, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(0 < x,x < u^2-2), y = -u^2-x, u < z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-5687721/2097152
, -710965/262144], [3, 3]]]], [[4, 14, 9, 3, 1], [v = -1, u = 3^(1/2), 1 < x,
And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[4, 14, 9, 3, 2]
, [v = -1, u = 3^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [-7/2, -7/
2], [-1284239/1048576, -642119/524288]]]], [[4, 14, 9, 3, 3], [v = -1, u = 3^(
1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [-7/2, -7/
2], [0, 0]]]], [[4, 14, 9, 3, 4], [v = -1, u = 3^(1/2), 1 < x, And(-x-3 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[4, 14,
9, 3, 5], [v = -1, u = 3^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [-7/2,
-7/2], [3, 3]]]], [[5, 5, 7, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u
,u < v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837
/4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [-2, -2]]]], [
[5, 5, 7, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^
2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-156105/524288, -312209/1048576], [-1618333/2097152, -3236665/
4194304]]]], [[5, 5, 7, 4, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z <
(-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -\
312209/1048576], [-1/8388608, -1/8388608]]]], [[5, 5, 7, 4, 4], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1
, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -\
312209/1048576], [404583/524288, 809167/1048576]]]], [[5, 5, 7, 4, 5], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = u^2-v
^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-156105/
524288, -312209/1048576], [2, 2]]]], [[5, 7, 4, 1, 1], [And(-1 < v,v < 0), And
(v < u,u < -v), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1/2
, -1/2], [0, 0], [-1, -1], [-2, -2], [-3, -3]]]], [[5, 7, 4, 1, 2], [And(-1 <
v,v < 0), And(v < u,u < -v), x = -1, y < u^2-v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 7, 4, 1, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [
[-1/2, -1/2], [0, 0], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[5, 7,
4, 1, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y < u^2-v^2, z = (1-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-2, -2], [908093/
524288, 1816187/1048576]]]], [[5, 7, 4, 1, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -1, y < u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
0, 0], [-1, -1], [-2, -2], [3, 3]]]], [[5, 8, 7, 6, 1], [And(-1 < v,v < 0), u
= -v, 1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2],
[0, 0], [0, 0]]]], [[5, 10, 3, 4, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[5, 10, 3
, 4, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072],
[-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[5, 10, 3, 4, 3]
, [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-3/2, -3/2], [0, 0], [0, 0]]]], [[5, 10, 3, 4, 4], [And(-1 <
v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[0, 0], [642119/524288, 1284239/1048576]]]], [[5, 10, 3, 4, 5], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[0, 0], [3, 3]]]], [[6, 3, 1, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^
2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[6, 3, 1, 1, 2], [v = 0, 
And(-2^(1/2) < u,u < -1), x < -u^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-1, -\
1], [-146543/65536, -2344687/1048576]]]], [[6, 3, 1, 1, 3], [v = 0, And(-2^(1/
2) < u,u < -1), x < -u^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-1, -\
1], [0, 0]]]], [[6, 3, 1, 1, 4], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[6, 3, 1,
1, 5], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [-1,
-1], [4, 4]]]], [[6, 4, 3, 6, 1], [v = 0, u = -1, And(-2 < x,x < -1), y = -x,
z < 0], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]
]], [[6, 4, 3, 6, 2], [v = 0, u = -1, And(-2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[6, 4,
3, 6, 3], [v = 0, u = -1, And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[0, 0], [-1, -1], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[6, 8, 9, 7, 1], [v =
0, u = 1, 1 < x, 0 < y, z = z], [regular_chain, [[0, 0], [1, 1], [2, 2], [1, 1
], [0, 0]]]], [[6, 10, 3, 1, 1], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y <
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-2, -2], [-2, -2], [-3, -3]]]], [[6, 10, 3, 1, 2], [v = 0, u = 2^(1
/2), And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0]
, [741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[6, 10,
3, 1, 3], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-2, -2], [-2, -2], [0, 0]]]], [[6, 10, 3, 1, 4], [v = 0, u = 2^(1/2
), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-2, -2], [-2, -2], [2, 2]]]], [[6, 10, 3, 1,
5], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [-2, -2],
[3, 3]]]], [[7, 5, 1, 2, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[7, 5, 1,
2, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y =
0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[7, 5, 1
, 2, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [0, 0], [-1/4194304, -1/4194304]
]]], [[7, 5, 1, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]
]]], [[7, 5, 1, 2, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [0, 0], [3, 3]]]], [[7, 6, 3, 7, 1], [
And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [
[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0]]]], [[7, 13, 8, 5, 1],
[And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 1, 
11, 1, 1], [v = 1, u < -3^(1/2), u^2-2 < x, y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [8, 8], [-18, -18], [-5, -5]]]], [[8, 1, 11,
1, 2], [v = 1, u < -3^(1/2), u^2-2 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [8, 8], [-18, -18], [-3315889/1048576, -\
207243/65536]]]], [[8, 1, 11, 1, 3], [v = 1, u < -3^(1/2), u^2-2 < x, y < -u^2
-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3
], [8, 8], [-18, -18], [0, 0]]]], [[8, 1, 11, 1, 4], [v = 1, u < -3^(1/2), u^2
-2 < x, y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [8,
8], [-18, -18], [207243/65536, 3315889/1048576]]]], [[8, 1, 11, 1, 5], [v = 1,
u < -3^(1/2), u^2-2 < x, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1
], [-3, -3], [8, 8], [-18, -18], [5, 5]]]], [[8, 8, 1, 5, 1], [v = 1, u = 0, x
< -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0
], [-3, -3], [2, 2], [-2, -2]]]], [[8, 8, 1, 5, 2], [v = 1, u = 0, x < -2, And
(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -\
3], [2, 2], [-1, -1]]]], [[8, 8, 1, 5, 3], [v = 1, u = 0, x < -2, And(-x-2 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
0, 0], [-3, -3], [2, 2], [0, 0]]]], [[8, 8, 1, 5, 4], [v = 1, u = 0, x < -2, 
And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3,
-3], [2, 2], [1, 1]]]], [[8, 8, 1, 5, 5], [v = 1, u = 0, x < -2, And(-x-2 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3, -3], [2, 2],
[2, 2]]]], [[8, 9, 8, 1, 1], [v = 1, And(0 < u,u < 1), x = 0, y < u^2-2, z < -
(-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-3, -3], [-3, -3]]]
], [[8, 9, 8, 1, 2], [v = 1, And(0 < u,u < 1), x = 0, y < u^2-2, z = -(-y)^(1/
2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-3, -3], [-1816187/1048576,
-3632373/2097152]]]], [[8, 9, 8, 1, 3], [v = 1, And(0 < u,u < 1), x = 0, y < u
^2-2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2
], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[8, 9, 8, 1, 4], [v = 1, 
And(0 < u,u < 1), x = 0, y < u^2-2, z = (-y)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[8, 9, 8,
1, 5], [v = 1, And(0 < u,u < 1), x = 0, y < u^2-2, (-y)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-3, -3], [3, 3]]]], [[8, 14, 1, 2
, 1], [v = 1, u = 3^(1/2), x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[8, 
14, 1, 2, 2], [v = 1, u = 3^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [0, 0], [-\
2, -2]]]], [[8, 14, 1, 2, 3], [v = 1, u = 3^(1/2), x < -3, y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-4, -4], [0, 0], [0, 0]]]], [[8, 14, 1, 2, 4], [v = 1, u = 3^(1/2),
x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-4, -4], [0, 0], [2, 2]]]], [[8, 14, 1, 2, 5], [v = 1, u =
3^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-4, -4], [0, 0], [3, 3]]]], [[8, 15, 5, 7, 1], [v =
1, 3^(1/2) < u, And(-1 < x,x < 0), And(-x < y,y < u^2-x-2), z = z], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [4, 4], [0, 0]]]], [[9, 6, 1, 6,
1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = -x, z < 0], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [2, 2], [-1, -1]]]], [[9, 6, 1, 6, 2], [And(1 < v,v < 2^(1/2)), u = -v, x
< -1, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 6, 1, 6,
3], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = -x, 0 < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [2, 2], [1, 1]]]], [[9, 7, 9, 9, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,
u < -(v^2-1)^(1/2)), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2,
1/2], [1, 1], [0, 0]]]], [[9, 9, 4, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-\
1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [
-763943/1048576, -763943/1048576], [-3, -3]]]], [[9, 9, 4, 3, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y
,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [-1, -1], [-763943/1048576, -763943/1048576], [-689305/524288, -\
1378609/1048576]]]], [[9, 9, 4, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(
1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [-1, -1], [-763943/1048576, -763943/1048576], [0, 0]]]], [[9, 9, 4, 3, 4
], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1,
And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [-763943/1048576, -763943/1048576], [
1378609/1048576, 689305/524288]]]], [[9, 9, 4, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), (1-
y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-\
1, -1], [-763943/1048576, -763943/1048576], [3, 3]]]], [[9, 10, 8, 4, 1], [And
(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y = -1, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1, 1],
[-1, -1], [-1, -1]]]], [[9, 10, 8, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)
^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [1, 1], [-1, -1], [0, 0]]]], [[9, 
10, 8, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y = -1, 0 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939
/1048576], [1, 1], [-1, -1], [1, 1]]]], [[9, 17, 1, 3, 1], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10,
-10], [763943/1048576, 763943/1048576], [-5, -5]]]], [[9, 17, 1, 3, 2], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-\
1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [-10, -10], [763943/1048576, 763943/1048576], [-3192815/1048576, -\
1596407/524288]]]], [[9, 17, 1, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-\
10, -10], [763943/1048576, 763943/1048576], [0, 0]]]], [[9, 17, 1, 3, 4], [And
(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2
-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [-10, -10], [763943/1048576, 763943/1048576], [1596407/524288, 3192815
/1048576]]]], [[9, 17, 1, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [763943/1048576, 
763943/1048576], [5, 5]]]], [[10, 1, 3, 8, 1], [v = 2^(1/2), u < -2, And(-u^2+
1 < x,x < -1), y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-9/2, -9/2], [21/2, 21/2], [0, 0]]]], [[10, 5, 4, 4, 1],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = 0, z < -1], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1
, -1], [0, 0], [-2, -2]]]], [[10, 5, 4, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [0, 0], [-1, -1]]]],
[[10, 5, 4, 4, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = 0, And(
-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1, -1], [0, 0], [0, 0]]]], [[10, 5, 4, 4, 4], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = 0, z = 1], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1
], [0, 0], [1, 1]]]], [[10, 5, 4, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), x = -1, y = 0, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-6598195/4194304, -6598195/4194304], [-1, -1], [0, 0], [2, 2]]]], [[10, 7, 1,
5, 1], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x
+1), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[10, 7, 1,
5, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x
+1), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[10, 7, 1,
5, 3], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x
+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [0
, 0]]]], [[10, 7, 1, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(u
^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [1,
1]]]], [[10, 7, 1, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(u^2
-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [2,
2]]]], [[10, 13, 1, 4, 1], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = u^2-
x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-3, -3], [763943/524288, 1527887/1048576]
, [-3, -3]]]], [[10, 13, 1, 4, 2], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3,
y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [763943/524288, 
1527887/1048576], [-1302471/1048576, -651235/524288]]]], [[10, 13, 1, 4, 3], [
v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z
,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3, -3], [763943/524288, 1527887/1048576],
[0, 0]]]], [[10, 13, 1, 4, 4], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y =
u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1265743/1048576, 1265743/1048576], [-3, -3], [763943/524288, 1527887/
1048576], [651235/524288, 1302471/1048576]]]], [[10, 13, 1, 4, 5], [v = 2^(1/2
), And(1 < u,u < v), x < u^2-3, y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [763943/524288, 1527887/1048576], [3, 3]]]], [[10, 14, 5,
1, 1], [v = 2^(1/2), u = v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[10, 14, 5, 1, 2], [v = 2^(1/2),
u = v, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2],
[-3, -3], [-3315889/2097152, -207243/131072]]]], [[10, 14, 5, 1, 3], [v = 2^(1
/2), u = v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911
/1048576], [1/2, 1/2], [-3, -3], [0, 0]]]], [[10, 14, 5, 1, 4], [v = 2^(1/2),
u = v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3,
-3], [207243/131072, 1657945/1048576]]]], [[10, 14, 5, 1, 5], [v = 2^(1/2), u
= v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3, -\
3], [3, 3]]]], [[11, 2, 3, 4, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x
,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288,
-3477733/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[11, 2, 3, 4, 2], [2^(1/2)
< v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [0, 0],
[-1482911/1048576, -741455/524288]]]], [[11, 2, 3, 4, 3], [2^(1/2) < v, u = -(
v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [0, 0]
, [0, 0]]]], [[11, 2, 3, 4, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[11,
2, 3, 4, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)
^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2
, -2], [0, 0], [3, 3]]]], [[11, 3, 7, 9, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [2, 2], [0, 0]]]], [[11, 9, 11, 2, 1], [2^(1/2) < v, And(-(v^2
-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2]
, [-1181835/262144, -9454679/2097152], [-3, -3]]]], [[11, 9, 11, 2, 2], [2^(1/
2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369
/8388608], [2, 2], [-1181835/262144, -9454679/2097152], [-3321417/2097152, -\
415177/262144]]]], [[11, 9, 11, 2, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-1181835/262144, -9454679/2097152], [0, 0]]]], [[11, 9, 11,
2, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = u^
2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [2, 2], [-1181835/262144, -9454679/2097152], [
415177/262144, 1660709/1048576]]]], [[11, 9, 11, 2, 5], [2^(1/2) < v, And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2],
[-1181835/262144, -9454679/2097152], [3, 3]]]], [[11, 11, 4, 7, 1], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(1 < y,y < -u^2+v^2),
z = z], [regular_chain, [[3, 3], [0, 0], [-1, -1], [5, 5], [0, 0]]]], [[11, 15
, 5, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^
2-1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
133001/1048576, 133001/1048576], [-2, -2]]]], [[11, 15, 5, 5, 2], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2
+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576, 133001/
1048576], [-103163/131072, -3301215/4194304]]]], [[11, 15, 5, 5, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -
u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
133001/1048576, 133001/1048576], [-3/8388608, -3/8388608]]]], [[11, 15, 5, 5,
4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), 
And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [133001/
1048576, 133001/1048576], [825303/1048576, 103163/131072]]]], [[11, 15, 5, 5,
5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), 
And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [133001/
1048576, 133001/1048576], [2, 2]]]], [[11, 17, 2, 6, 1], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [
[3, 3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [
1565959/1048576, 195745/131072], [-1, -1]]]], [[11, 17, 2, 6, 2], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [1565959/1048576, 195745/131072], [0, 0]]]], [[11, 17, 2, 6,
3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1,
0 < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/
131072, -1565959/1048576], [1565959/1048576, 195745/131072], [1, 1]]]], [[1, 1
, 7, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x < y,y
< 0), z = z], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-1/4, -1/4], [
0, 0]]]], [[1, 2, 9, 6, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y = 1-x,
z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2]
, [-1, -1], [0, 0]]]], [[1, 9, 4, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
3163223/4194304, -3163223/4194304], [-3, -3]]]], [[1, 9, 4, 3, 2], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0)
, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1, -1], [-3163223/4194304, -3163223/4194304], [-347197/262144, -\
1388787/1048576]]]], [[1, 9, 4, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [-1, -1], [-3163223/4194304, -3163223/4194304], [0, 0]]]], [[1, 9, 4, 3, 4],
[v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(u^2-v^2
< y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [-3163223/4194304, -3163223/4194304], [1388787/
1048576, 347197/262144]]]], [[1, 9, 4, 3, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
3163223/4194304, -3163223/4194304], [3, 3]]]], [[1, 10, 6, 2, 1], [v < -2^(1/2
), u = -(v^2-2)^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[-3, -3]
, [-5548543/2097152, -2774271/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[1, 10
, 6, 2, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3, -\
3], [-1816187/1048576, -3632373/2097152]]]], [[1, 10, 6, 2, 3], [v < -2^(1/2),
u = -(v^2-2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3, -\
3], [-1/4194304, -1/4194304]]]], [[1, 10, 6, 2, 4], [v < -2^(1/2), u = -(v^2-2
)^(1/2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]
]]], [[1, 10, 6, 2, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y = -3, 3^(1
/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0,
0], [-3, -3], [3, 3]]]], [[1, 14, 7, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2),
And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[1, 14, 7, 2
, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/
2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2],
[-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[1, 14, 7, 2, 3], [v < -
2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2
^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1
/2], [-5/2, -5/2], [0, 0]]]], [[1, 14, 7, 2, 4], [v < -2^(1/2), u = (v^2-1)^(1
/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 
1482911/1048576]]]], [[1, 14, 7, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[1, 15, 11, 7,
1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-x < y,y < 0), z
= z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [
-1, -1], [0, 0]]]], [[2, 1, 2, 4, 1], [v = -2^(1/2), u < -2, x = -u^2+1, y = u
^2-1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
-8, -8], [8, 8], [-1, -1]]]], [[2, 1, 2, 4, 2], [v = -2^(1/2), u < -2, x = -u^
2+1, y = u^2-1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [-8, -8], [8, 8], [0, 0]]]], [[2, 1, 2, 4, 3], [v = -2^(1/2), u < -2,
x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-8, -8], [8, 8], [1, 1]]]], [[2, 2, 4, 5, 1], [v = -2^(1/2
), u = -2, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [1/2, 1/2], [-2, -2]]]],
[[2, 2, 4, 5, 2], [v = -2^(1/2), u = -2, x = -1, And(0 < y,y < 1), z = -(1-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1
], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 2, 4, 5, 3], [v =
-2^(1/2), u = -2, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1],
[1/2, 1/2], [0, 0]]]], [[2, 2, 4, 5, 4], [v = -2^(1/2), u = -2, x = -1, And(0
< y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2
, 2, 4, 5, 5], [v = -2^(1/2), u = -2, x = -1, And(0 < y,y < 1), (1-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [
1/2, 1/2], [2, 2]]]], [[2, 9, 8, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), x =
-u^2+1, And(u^2-1 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/4, 3/4], [-3/8, -3/8], [0, 0]]]], [[2, 11, 1,
6, 1], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [4,
4], [-1, -1]]]], [[2, 11, 1, 6, 2], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3
, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1
/2], [-4, -4], [4, 4], [0, 0]]]], [[2, 11, 1, 6, 3], [v = -2^(1/2), And(0 < u,
u < 1), x < u^2-3, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [-4, -4], [4, 4], [1, 1]]]], [[2, 17, 5, 3, 1], [v = -2^
(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/
33554432], [-3, -3]]]], [[2, 17, 5, 3, 2], [v = -2^(1/2), And(3^(1/2) < u,u <
2), And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/33554432], [-1280391/
1048576, -640195/524288]]]], [[2, 17, 5, 3, 3], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/
33554432], [0, 0]]]], [[2, 17, 5, 3, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2)
, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/33554432], [640195/
524288, 1280391/1048576]]]], [[2, 17, 5, 3, 5], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/33554432], [3, 3]]]], [
[2, 18, 7, 4, 1], [v = -2^(1/2), u = 2, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-1/2,
-1/2], [-1, -1]]]], [[2, 18, 7, 4, 2], [v = -2^(1/2), u = 2, And(0 < x,x < 1),
y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [
1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[2, 18, 7, 4, 3], [v = -2^(1/2), u = 2, 
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 3, 6, 6, 1], [And(-
2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = u^
2-v^2-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [0, 0], [501965/1048576, 250983/524288],
[0, 0]]]], [[3, 5, 1, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u
,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [5733117/2097152, 5733117/2097152], [-2, -2]]]], [
[3, 5, 1, 7, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3, -3], [5733117/2097152, 5733117/2097152], [-270523/524288, -1082091/2097152]
]]], [[3, 5, 1, 7, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [5733117/2097152, 5733117/2097152], [-1/
4194304, -1/4194304]]]], [[3, 5, 1, 7, 4], [And(-2^(1/2) < v,v < -1), And(-(v^
2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [5733117/2097152, 5733117/2097152], [
541045/1048576, 270523/524288]]]], [[3, 5, 1, 7, 5], [And(-2^(1/2) < v,v < -1)
, And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [5733117/2097152, 5733117/
2097152], [2, 2]]]], [[3, 11, 5, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [0, 0], [-2, -2]]]], [[3, 11, 5, 4
, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x <
-u^2+v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [0, 0], [-886499/1048576, -3545995/4194304]]]], [[3, 11, 5, 4, 3], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v
^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288
, -374737/524288], [0, 0], [-3/8388608, -3/8388608]]]], [[3, 11, 5, 4, 4], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v
^2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[0, 0], [443249/524288, 886499/1048576]]]], [[3, 11, 5, 4, 5], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = 0, (
-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-374737/524288, -374737/524288], [0, 0], [2, 2]]]]
, [[3, 13, 2, 1, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)),
x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/
262144, -1538811/1048576], [-1, -1], [-3, -3]]]], [[3, 13, 2, 1, 2], [And(-2^(
1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(
u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [-1, -1
], [-1647141/1048576, -3294281/2097152]]]], [[3, 13, 2, 1, 3], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2
-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[3, 13, 2, 1, 4], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0
, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [-1, -1], [411785/262144, 1647141/1048576]]]], [[3, 13, 2, 1, 5], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0
, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [-1, -1], [3, 3]]]], [[3, 14, 5, 1, 1], [And(-2^(1/2) < v,v < -1), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[3, 14, 5, 1, 2], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]],
[[3, 14, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x
< 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -\
1/2], [-3, -3], [0, 0]]]], [[3, 14, 5, 1, 4], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2
, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[3, 14, 5, 1, 5], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-
y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659
/1048576, 410915/262144], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[3, 15, 10, 3, 1
], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1,
And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-4696269/
2097152, -4696269/2097152], [-3, -3]]]], [[3, 15, 10, 3, 2], [And(-2^(1/2) < v
,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,
y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [-4696269/2097152, -4696269/
2097152], [-583671/524288, -1167341/1048576]]]], [[3, 15, 10, 3, 3], [And(-2^(
1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^
2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-\
4696269/2097152, -4696269/2097152], [0, 0]]]], [[3, 15, 10, 3, 4], [And(-2^(1/
2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-\
2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [1, 1], [-4696269/2097152, -4696269
/2097152], [1167341/1048576, 583671/524288]]]], [[3, 15, 10, 3, 5], [And(-2^(1
/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2
-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-4696269/2097152, -\
4696269/2097152], [3, 3]]]], [[4, 4, 5, 5, 1], [v = -1, u = -2^(1/2), And(-1 <
x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[4,
4, 5, 5, 2], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288],
[-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[4, 4, 5, 5, 3], [v = -1, u = -2^(
1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2,
-1/2], [1/4, 1/4], [0, 0]]]], [[4, 4, 5, 5, 4], [v = -1, u = -2^(1/2), And(-1
< x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[
4, 4, 5, 5, 5], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[4, 5, 10, 7, 1], [v = -1, And(-2^(1/
2) < u,u < -1), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 10,
5, 4, 1], [v = -1, u = 1, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[
-1, -1], [1, 1], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[4, 10, 5, 4, 2], [v
= -1, u = 1, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1, -1], [1,
1], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 10, 5, 4, 3], [v = -1, u = 1, 
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2
], [-1/2, -1/2], [1, 1]]]], [[4, 11, 11, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)
), 1 < x, 0 < y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [2, 2], [1, 1], [0, 0]]]], [[5, 2, 8, 3, 1], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[5, 2, 8, 3,
2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-
y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5/2, -5/2]
, [-1284239/1048576, -642119/524288]]]], [[5, 2, 8, 3, 3], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1
)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5/2, -5/2],
[0, 0]]]], [[5, 2, 8, 3, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, 
And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -\
3/2], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [[5, 2, 8, 3,
5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), (-y-1)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5/2, -5/2],
[3, 3]]]], [[5, 4, 1, 4, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y
= -x-2, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[5, 4, 1, 4, 2], [And(-1 < v
,v < 0), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain,
[[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [-1482911
/1048576, -741455/524288]]]], [[5, 4, 1, 4, 3], [And(-1 < v,v < 0), u = -(v^2+
1)^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1, 1], [0, 0]]]],
[[5, 4, 1, 4, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z
= 2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[-3, -3], [1, 1], [741455/524288, 1482911/1048576]]]], [[5, 4, 1, 4, 5], [And(
-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [1
, 1], [3, 3]]]], [[5, 11, 8, 7, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[-1/2, -1/2
], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [1, 1], [0
, 0]]]], [[5, 13, 1, 8, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^
2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11
], [75/4, 75/4], [0, 0]]]], [[6, 5, 9, 4, 1], [v = 0, And(-1 < u,u < 0), And(0
< x,x < 1), y = u^2-x-1, z < -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2,
-1/2], [1/2, 1/2], [-5/4, -5/4], [-2, -2]]]], [[6, 5, 9, 4, 2], [v = 0, And(-1
< u,u < 0), And(0 < x,x < 1), y = u^2-x-1, z = -(-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-5/4, -5/4], [-1816187/
2097152, -3632373/4194304]]]], [[6, 5, 9, 4, 3], [v = 0, And(-1 < u,u < 0), 
And(0 < x,x < 1), y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-5/4, -5/4], [-1/8388608, -\
1/8388608]]]], [[6, 5, 9, 4, 4], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1),
y = u^2-x-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2,
1/2], [-5/4, -5/4], [908093/1048576, 454047/524288]]]], [[6, 5, 9, 4, 5], [v =
0, And(-1 < u,u < 0), And(0 < x,x < 1), y = u^2-x-1, (-u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-5/4, -5/4], [2, 2]]]], [[6
, 7, 5, 8, 1], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = -x, z < 0]
, [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [7/8, 7/8], [-1, -1]]]],
[[6, 7, 5, 8, 2], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = -x, z =
0], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [7/8, 7/8], [0, 0]]]],
[[6, 7, 5, 8, 3], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = -x, 0 <
z], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [7/8, 7/8], [1, 1]]]],
[[6, 11, 7, 1, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y < -u^2-x-1, z < -(
-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-12, -12], [-5, -5
]]]], [[6, 11, 7, 1, 2], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y < -u^2-x-1,
z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-12, -12], [
-3555895/1048576, -1777947/524288]]]], [[6, 11, 7, 1, 3], [v = 0, 2^(1/2) < u,
And(0 < x,x < 1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-12, -12], [0, 0]]]], [[6, 11, 7,
1, 4], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y < -u^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-12, -12], [1777947/524288, 
3555895/1048576]]]], [[6, 11, 7, 1, 5], [v = 0, 2^(1/2) < u, And(0 < x,x < 1),
y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2],
[-12, -12], [5, 5]]]], [[7, 1, 8, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2)
, x = 1, u^2-v^2-2 < y, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1],
[8, 8], [0, 0]]]], [[7, 7, 11, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1
< x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0],
[2, 2], [-5, -5], [-3, -3]]]], [[7, 7, 11, 1, 2], [And(0 < v,v < 1), And(-v <
u,u < v), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [0, 0], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[7, 7
, 11, 1, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y < u^2-v^2-x-1, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [2
, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[7, 7, 11, 1, 4], [And(0 < v,v <
1), And(-v < u,u < v), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[7, 7, 11, 1, 5], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y
< u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2],
[-5, -5], [3, 3]]]], [[7, 9, 7, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [312209/2097152, 312209/2097152], [-2, -2]]]], [[7
, 9, 7, 7, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [
312209/2097152, 312209/2097152], [-50573/131072, -404583/1048576]]]], [[7, 9,
7, 7, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [312209/2097152, 312209/2097152], [0, 0]]]], [[7,
9, 7, 7, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [
312209/2097152, 312209/2097152], [404583/1048576, 50573/131072]]]], [[7, 9, 7,
7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [
312209/2097152, 312209/2097152], [2, 2]]]], [[7, 11, 2, 4, 1], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z
< 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/524288, 2583195/1048576], [-1, -1]]]], [[7
, 11, 2, 4, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-2583195/1048576, -1291597/524288], [1291597/524288,
2583195/1048576], [0, 0]]]], [[7, 11, 2, 4, 3], [And(0 < v,v < 1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/1048576,
-1291597/524288], [1291597/524288, 2583195/1048576], [1, 1]]]], [[7, 12, 4, 9,
1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, 2 < y, z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [3, 3], [0, 0]]]], [[8, 5, 2
, 6, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y = u^2, z < 0], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [763943/524288, 1527887/1048576], [-1, -1]]]], [[8,
5, 2, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y = u^2, z = 0], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [763943/524288, 1527887/1048576], [0, 0]]]], [[8, 5,
2, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y = u^2, 0 < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [763943/524288, 1527887/1048576], [1, 1]]]], [[8, 6,
6, 5, 1], [v = 1, u = -1, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[
1, 1], [-1, -1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 11, 4, 3, 1], [v = 1, 
And(1 < u,u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [-239655
/1048576, -239655/1048576], [-3, -3]]]], [[8, 11, 4, 3, 2], [v = 1, And(1 < u,
u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain
, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [-239655/1048576, -\
239655/1048576], [-1162243/1048576, -581121/524288]]]], [[8, 11, 4, 3, 3], [v
= 1, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1, -1], [-239655/1048576, -239655/1048576], [0, 0]]]], [[8, 11, 4,
3, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z = (1-y
)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1
], [-239655/1048576, -239655/1048576], [581121/524288, 1162243/1048576]]]], [[
8, 11, 4, 3, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0)
, (1-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1, -1], [-239655/1048576, -239655/1048576], [3, 3]]]], [[8, 12, 8, 4, 1],
[v = 1, u = 2^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[8, 12, 8, 4, 2], [v
= 1, u = 2^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0]]]], [[8, 12, 8, 4, 3], [v =
1, u = 2^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [741455/524288
, 1482911/1048576], [1, 1], [-1, -1], [1, 1]]]], [[9, 3, 4, 5, 1], [And(1 < v,
v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y
< 1), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9
, 3, 4, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[9, 3, 4, 5, 3], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,
y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
1/2, 1/2], [0, 0]]]], [[9, 3, 4, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[9
, 3, 4, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
1/2, 1/2], [2, 2]]]], [[9, 4, 8, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^
(1/2), x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1, 1], [0, 0], [0, 0]]]], [[9,
12, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y = -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [1, 1], [-2, -2]]]], [[9, 12, 1, 4, 2], [And(1 < v,v < 2^(
1/2)), u = v, x < -1, y = -1-x, z = -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [-1, -\
1]]]], [[9, 12, 1, 4, 3], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y = -1-x, 
And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [0, 0]]]], [[9, 12, 1, 4,
4], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y = -1-x, z = 1], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2,
-2], [1, 1], [1, 1]]]], [[9, 12, 1, 4, 5], [And(1 < v,v < 2^(1/2)), u = v, x <
-1, y = -1-x, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [2, 2]]]], [[9, 13, 9, 7,
1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 
And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[
10, 2, 5, 2, 1], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = -x-3, z < -3^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2]
, [-5/2, -5/2], [-3, -3]]]], [[10, 2, 5, 2, 2], [v = 2^(1/2), u = -2, And(-1 <
x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/
2097152]]]], [[10, 2, 5, 2, 3], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = -
x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [
[10, 2, 5, 2, 4], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = -x-3, z = 3^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2]
, [-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[10, 2, 5, 2, 5], [v = 2
^(1/2), u = -2, And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]
]], [[10, 3, 9, 9, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x
< 1), 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288], [1, 1], [0
, 0]]]], [[10, 8, 3, 7, 1], [v = 2^(1/2), u = -1, And(-2 < x,x < -1), -x < y,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3/2, -3
/2], [3, 3], [0, 0]]]], [[10, 9, 9, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0), 
And(-u^2+1 < x,x < 1), y = 0, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [7/8, 7/8], [0, 0], [0, 0]]]], [[10, 15, 11, 1, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y < -u^2-x+1, z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [-5, -5], [-3, -3]]]], [[10, 15, 11, 1, 2], [v = 2^(1/2), 
And(v < u,u < 3^(1/2)), 1 < x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[10, 15,
11, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y < -u^2-x+1, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-5, -5], [-1/4194304, -\
1/4194304]]]], [[10, 15, 11, 1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 <
x, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-5, -5], [908093/524288
, 1816187/1048576]]]], [[10, 15, 11, 1, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2
)), 1 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-5, -5], [3, 3]
]]], [[10, 17, 6, 4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y = 0, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [0, 0], [0, 0], [-1, -1]]]], [[10, 17, 6, 4, 2], [v = 2^(1/2
), And(3^(1/2) < u,u < 2), x = 0, y = 0, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [0, 0], [0, 0],
[0, 0]]]], [[10, 17, 6, 4, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y
= 0, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [0, 0], [0, 0], [1, 1]]]], [[10, 18, 8, 1, 1], [v =
2^(1/2), u = 2, x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [1, 1], [-5, -5], [-3, -3]]]], [[10, 18, 8,
1, 2], [v = 2^(1/2), u = 2, x = 1, y < -4, z = -(-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [1, 1], [-5, -5], [-2, -2]]]], [[10
, 18, 8, 1, 3], [v = 2^(1/2), u = 2, x = 1, y < -4, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1,
1], [-5, -5], [0, 0]]]], [[10, 18, 8, 1, 4], [v = 2^(1/2), u = 2, x = 1, y < -\
4, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2
], [1, 1], [-5, -5], [2, 2]]]], [[10, 18, 8, 1, 5], [v = 2^(1/2), u = 2, x = 1
, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [2, 2], [1, 1], [-5, -5], [3, 3]]]], [[11, 1, 1, 6, 1], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[3, 3], [-5, -5
], [-18, -18], [18, 18], [-1, -1]]]], [[11, 1, 1, 6, 2], [2^(1/2) < v, u < -(v
^2+2)^(1/2), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[3, 3], [-5, -5]
, [-18, -18], [18, 18], [0, 0]]]], [[11, 1, 1, 6, 3], [2^(1/2) < v, u < -(v^2+
2)^(1/2), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[3, 3], [-5, -5], [
-18, -18], [18, 18], [1, 1]]]], [[11, 7, 3, 3, 1], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-657289/524288, -657289/524288], [-133001/1048576, -133001/1048576], [-3, -3]
]]], [[11, 7, 3, 3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [-133001/1048576, -133001/1048576], [-616015/524288, -1232029
/1048576]]]], [[11, 7, 3, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-657289/524288, -657289/524288], [-133001/1048576, -133001/1048576], [0, 0
]]]], [[11, 7, 3, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2
-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [-133001/1048576, -133001/1048576], [1232029/1048576, 616015/
524288]]]], [[11, 7, 3, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [-133001/1048576, -133001/1048576], [3, 3]]]], [[11, 8, 7, 2,
1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)
], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2],
[-5/2, -5/2], [-3, -3]]]], [[11, 8, 7, 2, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2)
, And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [1/2, 1/2], [-5/2, -5/2], [-1482911/
1048576, -741455/524288]]]], [[11, 8, 7, 2, 3], [2^(1/2) < v, u = -(v^2-1)^(1/
2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain
, [[3, 3], [-2965821/1048576, -11863283/4194304], [1/2, 1/2], [-5/2, -5/2], [0
, 0]]]], [[11, 8, 7, 2, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1)
, y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]
]], [[11, 8, 7, 2, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(0 < x,x < 1), y =
-x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[11, 12, 6, 2, 1], [2^(1/2) <
v, u = (v^2-2)^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [0, 0], [-3, -3], [-3, -3]]]], [[11, 12, 6, 2, 2
], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [-3, -3], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 12, 6, 2, 3], [2^(1/2) < v, u = (
v^2-2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [
[3, 3], [2774271/1048576, 10837/4096], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[11, 12, 6, 2, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, y = -\
3, z = 3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0
], [-3, -3], [908093/524288, 1816187/1048576]]]], [[11, 12, 6, 2, 5], [2^(1/2)
< v, u = (v^2-2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[3, 3],
[2774271/1048576, 10837/4096], [0, 0], [-3, -3], [3, 3]]]], [[11, 13, 10, 9, 1
], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, 0 < y, z = z
], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [1, 1],
[0, 0]]]], [[11, 20, 3, 4, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x <
-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-2, -2], [0, 0], [-3, -3]]]], [[11, 20, 3, 4, 2], [2^(1/2) <
v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [0, 0], [
-1482911/1048576, -741455/524288]]]], [[11, 20, 3, 4, 3], [2^(1/2) < v, u = (v
^2+2)^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [0, 0],
[0, 0]]]], [[11, 20, 3, 4, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x <
-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[11,
20, 3, 4, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)
^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2,
-2], [0, 0], [3, 3]]]], [[11, 21, 7, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, 
And(0 < x,x < 1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [5, 5], [1
/2, 1/2], [16, 16], [0, 0]]]], [[1, 4, 3, 2, 1], [v < -2^(1/2), u = -(v^2+1)^(
1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[
1, 4, 3, 2, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-\
2, z = -2^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536]
, [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[1, 4, 3
, 2, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(
-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[1, 4, 3, 2, 4], [v < -
2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1
/2, -1/2], [741455/524288, 1482911/1048576]]]], [[1, 4, 3, 2, 5], [v < -2^(1/2
), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1
/2, -1/2], [3, 3]]]], [[1, 5, 8, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,
u < v), x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [0, 0], [0, 0], [-1, -1]]]], [[1, 5, 8, 6, 2], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [0, 0], [0, 0], [0, 0]]]], [[1, 5, 8, 6, 3
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = 0, 0 < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [0, 0], [1
, 1]]]], [[1, 11, 10, 3, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)
^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1
)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [8, 8], [-13, -13], [-4, -4]]]],
[[1, 11, 10, 3, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [8, 8], [-13, -13], [-146543/65536, -\
2344687/1048576]]]], [[1, 11, 10, 3, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-
(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3],
[0, 0], [8, 8], [-13, -13], [0, 0]]]], [[1, 11, 10, 3, 4], [v < -2^(1/2), And(
-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y <
u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [8, 8
], [-13, -13], [2344687/1048576, 146543/65536]]]], [[1, 11, 10, 3, 5], [v < -2
^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2
*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3],
[0, 0], [8, 8], [-13, -13], [4, 4]]]], [[1, 13, 3, 6, 1], [v < -2^(1/2), And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0]
, [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288
, -919691/524288], [919691/524288, 919691/524288], [-1, -1]]]], [[1, 13, 3, 6,
2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x
,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [919691/524288, 919691/524288], [0,
0]]]], [[1, 13, 3, 6, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [919691/
524288, 919691/524288], [1, 1]]]], [[1, 17, 8, 4, 1], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [-2, -2]]]], [[1, 17, 8, 4, 2], [v < -2^(1/2), And
(-v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [-373161/524288, -1492643/2097152]]]], [[1, 17, 8,
4, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [0, 0], [-531193/1048576, -1062385/2097152], [
-1/4194304, -1/4194304]]]], [[1, 17, 8, 4, 4], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [0, 0], [-531193/1048576, -1062385/
2097152], [746321/1048576, 373161/524288]]]], [[1, 17, 8, 4, 5], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [2, 2]]]], [[1, 19, 3, 5, 1], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/1048576],
[-2, -2]]]], [[1, 19, 3, 5, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288
, -915943/524288], [915943/1048576, 915943/1048576], [-7840147/8388608, -\
3920073/4194304]]]], [[1, 19, 3, 5, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/
1048576], [-1/8388608, -1/8388608]]]], [[1, 19, 3, 5, 4], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/1048576],
[490009/524288, 980019/1048576]]]], [[1, 19, 3, 5, 5], [v < -2^(1/2), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/1048576],
[2, 2]]]], [[2, 3, 8, 6, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-\
3, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [0, 0], [
0, 0]]]], [[2, 5, 3, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1
< x,x < -1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [2044189/2097152, 2044189/2097152], [-2, -\
2]]]], [[2, 5, 3, 7, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 <
x,x < -1), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [2044189/2097152, 2044189/2097152], [-\
1074731/2097152, -537365/1048576]]]], [[2, 5, 3, 7, 3], [v = -2^(1/2), And(-3^
(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [2044189/2097152, 2044189/2097152], [0, 0]]]], [[2, 5, 3, 7, 4], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(u^2-x-3 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [
2044189/2097152, 2044189/2097152], [537365/1048576, 268683/524288]]]], [[2, 5,
3, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(
u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [2044189/2097152, 2044189/2097152], [2, 2]]]], [[2, 6, 7, 3,
1], [v = -2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[2, 6, 7, 3, 2], [v = -2^(1/2),
u = v, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2],
[-5/2, -5/2], [-1482911/2097152, -741455/1048576]]]], [[2, 6, 7, 3, 3], [v = -
2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [2, 2], [-5/2, -5/2], [0, 0]]]], [[2, 6, 7, 3, 4], [
v = -2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[2, 6, 7, 3
, 5], [v = -2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [-5/2, -5/2], [2, 2]]]], [[2, 8, 3, 1, 1], [v = -2^(1/2), u
= -1, And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [-2, -2], [-3, -3]]]
], [[2, 8, 3, 1, 2], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y < -x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[2, 8, 3, 1, 3
], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[2, 8, 3, 1, 4], [v = -2^(1/2), u = -\
1, And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [-2, -2], [980853/524288, 
1961707/1048576]]]], [[2, 8, 3, 1, 5], [v = -2^(1/2), u = -1, And(-2 < x,x < -\
1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[2, 14, 3, 2, 1], [v =
-2^(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1/
2], [-1/2, -1/2], [-2, -2]]]], [[2, 14, 3, 2, 2], [v = -2^(1/2), u = -v, And(-\
1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-1, -1
]]]], [[2, 14, 3, 2, 3], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, 
And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[2, 
14, 3, 2, 4], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), y = -1-x, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[2, 14, 3, 2, 5], [v = -2^(1
/2), u = -v, And(-1 < x,x < 0), y = -1-x, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/
2, -1/2], [2, 2]]]], [[2, 15, 10, 4, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-3198693/2097152
, -799673/524288], [-2, -2]]]], [[2, 15, 10, 4, 2], [v = -2^(1/2), And(-v < u,
u < 3^(1/2)), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1],
[-3198693/2097152, -799673/524288], [-1519901/2097152, -379975/524288]]]], [[2
, 15, 10, 4, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y = u^2-4, And
(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-3198693/2097152
, -799673/524288], [0, 0]]]], [[2, 15, 10, 4, 4], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-\
3198693/2097152, -799673/524288], [379975/524288, 759951/1048576]]]], [[2, 15,
10, 4, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y = u^2-4, (-u^2+3)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1, 1], [-3198693/2097152, -799673/524288], [2, 2]]
]], [[2, 19, 11, 6, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, y = u^2-x-3, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-1, -1],
[0, 0]]]], [[3, 2, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x
= -3, And(3 < y,y < 4), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [7/2, 7/2], [0, 0]]]
], [[3, 8, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x
,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2],
[-3/4, -3/4], [-3, -3]]]], [[3, 8, 5, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(
v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]
]]], [[3, 8, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 <
x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[3, 8, 5, 3, 4], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3/4, -3/4], [1172343/
1048576, 146543/131072]]]], [[3, 8, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u = -
(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[3, 9, 10, 5, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(-\
1 < y,y < -u^2+v^2-2), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-3235683/4194304, -3235683/4194304], [0, 0]]]], [[3
, 17, 3, 4, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 <
x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [0, 0], [-4,
-4]]]], [[3, 17, 3, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-
u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [0
, 0], [-286309/131072, -2290471/1048576]]]], [[3, 17, 3, 4, 3], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [0, 0], [0, 0]]]], [
[3, 17, 3, 4, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1
< x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [0, 0], [
2290471/1048576, 286309/131072]]]], [[3, 17, 3, 4, 5], [And(-2^(1/2) < v,v < -\
1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [0, 0], [4, 4]]]], [[4, 1, 5, 3, 1], [v = -1, u <
-3^(1/2), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-17/4, -17/4], [-4, -4]]]],
[[4, 1, 5, 3, 2], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(-u^2-x < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-\
17/4, -17/4], [-2285319/1048576, -1142659/524288]]]], [[4, 1, 5, 3, 3], [v = -\
1, u < -3^(1/2), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-17/
4, -17/4], [0, 0]]]], [[4, 1, 5, 3, 4], [v = -1, u < -3^(1/2), And(-1 < x,x <
0), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3,
-3], [-1/2, -1/2], [-17/4, -17/4], [1142659/524288, 2285319/1048576]]]], [[4,
1, 5, 3, 5], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(-u^2-x < y,y < 0),
(-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-17/4,
-17/4], [4, 4]]]], [[4, 7, 7, 4, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,
x < 0), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1
/8], [-1/8, -1/8], [-2, -2]]]], [[4, 7, 7, 4, 2], [v = -1, And(-1 < u,u < 0),
And(-u^2 < x,x < 0), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/
2], [-1/8, -1/8], [-1/8, -1/8], [-1/2, -1/2]]]], [[4, 7, 7, 4, 3], [v = -1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-1/8, -1/8], [0, 0]]]],
[[4, 7, 7, 4, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = -u^2-x,
z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-1/8, -1/8],
[1/2, 1/2]]]], [[4, 7, 7, 4, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x <
0), y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8]
, [-1/8, -1/8], [2, 2]]]], [[4, 9, 2, 3, 1], [v = -1, And(0 < u,u < 1), x = u^
2-2, And(0 < y,y < -2*u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1
], [1/2, 1/2], [-7/4, -7/4], [3/4, 3/4], [-2, -2]]]], [[4, 9, 2, 3, 2], [v = -\
1, And(0 < u,u < 1), x = u^2-2, And(0 < y,y < -2*u^2+2), z = -(-u^2-y+2)^(1/2)
], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [3/4, 3/4], [-1, -1]]]
], [[4, 9, 2, 3, 3], [v = -1, And(0 < u,u < 1), x = u^2-2, And(0 < y,y < -2*u^
2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1,
-1], [1/2, 1/2], [-7/4, -7/4], [3/4, 3/4], [0, 0]]]], [[4, 9, 2, 3, 4], [v = -\
1, And(0 < u,u < 1), x = u^2-2, And(0 < y,y < -2*u^2+2), z = (-u^2-y+2)^(1/2)]
, [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [3/4, 3/4], [1, 1]]]],
[[4, 9, 2, 3, 5], [v = -1, And(0 < u,u < 1), x = u^2-2, And(0 < y,y < -2*u^2+2
), (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4],
[3/4, 3/4], [2, 2]]]], [[4, 13, 7, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), And(0 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-4
, -4], [-3, -3]]]], [[4, 13, 7, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(0 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-4,
-4], [-32543597/16777216, -8135899/4194304]]]], [[4, 13, 7, 1, 3], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [497805/2097152, 497805/2097152], [-4, -4], [-3/8388608, -3/
8388608]]]], [[4, 13, 7, 1, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 <
x,x < u^2-2), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-4, -4],
[1016987/524288, 2033975/1048576]]]], [[4, 13, 7, 1, 5], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [-4, -4], [3, 3]]]], [[4, 14, 9, 2, 1], [v = -1, u = 3^(1/2),
1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[4, 14, 9, 2, 2], [v = -1, u
= 3^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/
2097152]]]], [[4, 14, 9, 2, 3], [v = -1, u = 3^(1/2), 1 < x, y = -x-3, And(-3^
(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[4, 14, 9, 2, 4], [v
= -1, u = 3^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[4, 14, 9, 2, 5], [v = -1, u = 3^(1/2), 1 < x, y = -x-3, 3^(1/2)
< z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [-5
, -5], [3, 3]]]], [[5, 5, 7, 5, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u
,u < v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-312209/2097152, -312209/2097152], [-2, -\
2]]]], [[5, 5, 7, 5, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-312209/2097152, -312209/2097152], [-700759/
1048576, -1401517/2097152]]]], [[5, 5, 7, 5, 3], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
312209/2097152, -312209/2097152], [-1/4194304, -1/4194304]]]], [[5, 5, 7, 5, 4
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0)
, And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304],
[-312209/2097152, -312209/2097152], [350379/524288, 700759/1048576]]]], [[5, 5
, 7, 5, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 <
x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-312209/2097152, -312209/2097152], [2, 2]]]], [[5, 7, 4, 2, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-1/4, -1/4], [-3, -3]
]]], [[5, 7, 4, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = u^2-
v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1]
, [-1/4, -1/4], [-146543/131072, -1172343/1048576]]]], [[5, 7, 4, 2, 3], [And(
-1 < v,v < 0), And(v < u,u < -v), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1],
[-1/4, -1/4], [0, 0]]]], [[5, 7, 4, 2, 4], [And(-1 < v,v < 0), And(v < u,u < -
v), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [0, 0], [-1, -1], [-1/4, -1/4], [1172343/1048576, 146543/131072]]]], [[5, 7
, 4, 2, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = u^2-v^2, (-u^2+
v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-1/4, -1/
4], [3, 3]]]], [[5, 8, 7, 5, 1], [And(-1 < v,v < 0), u = -v, 1 < x, And(-x < y
,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-1, -1],
[0, 0]]]], [[5, 10, 3, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 <
x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]]
, [[5, 10, 3, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1)
, And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -\
1387135/1048576]]]], [[5, 10, 3, 3, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -\
3/2], [-1/4, -1/4], [0, 0]]]], [[5, 10, 3, 3, 4], [And(-1 < v,v < 0), u = (v^2
+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[5, 10, 3, 3, 5], [And(-1 < v
,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3
/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[6, 3, 1, 2, 1], [v = 0, And(-2^(1/2) < u
,u < -1), x < -u^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[6, 3, 1,
2, 2], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y = 0, z = -(-x)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [0, 0
], [-2, -2]]]], [[6, 3, 1, 2, 3], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-4, -4], [0, 0], [0, 0]]]], [[6, 3, 1, 2,
4], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [0, 0]
, [2, 2]]]], [[6, 3, 1, 2, 5], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y
= 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-4, -4], [0, 0], [3, 3]]]], [[6, 4, 3, 7, 1], [v = 0, u = -1, And(-\
2 < x,x < -1), -x < y, z = z], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2]
, [3, 3], [0, 0]]]], [[6, 8, 9, 6, 1], [v = 0, u = 1, 1 < x, y = 0, z = z], [
regular_chain, [[0, 0], [1, 1], [2, 2], [0, 0], [0, 0]]]], [[6, 10, 2, 7, 1],
[v = 0, u = 2^(1/2), x = -3, 4 < y, z = z], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-3, -3], [5, 5], [0, 0]]]], [[7, 5, 1, 3, 1], [And(
0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u
^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576], [-3, -\
3]]]], [[7, 5, 1, 3, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [836497/1048576,
836497/1048576], [-1556087/1048576, -778043/524288]]]], [[7, 5, 1, 3, 3], [And
(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -
u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [836497/1048576, 836497/
1048576], [0, 0]]]], [[7, 5, 1, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [
836497/1048576, 836497/1048576], [778043/524288, 1556087/1048576]]]], [[7, 5,
1, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, 
And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
-1696631/2097152, -1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576
], [3, 3]]]], [[7, 6, 4, 1, 1], [And(0 < v,v < 1), u = -v, x = 0, y < -1, z <
-(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [-3
, -3]]]], [[7, 6, 4, 1, 2], [And(0 < v,v < 1), u = -v, x = 0, y < -1, z = -(-y
)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[7, 6, 4, 1, 3], [And(0 < v,v < 1), u =
-v, x = 0, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2
, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [0, 0]]]], [[7, 6, 4, 1, 4], [And(0 <
v,v < 1), u = -v, x = 0, y < -1, z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[7, 6, 4
, 1, 5], [And(0 < v,v < 1), u = -v, x = 0, y < -1, (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2], [3, 3]]]], [[7, 13
, 8, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [0, 0], [0, 0]]]], [[8, 1, 11, 2,
1], [v = 1, u < -3^(1/2), u^2-2 < x, y = -u^2-x, z < u], [regular_chain, [[1,
1], [-3, -3], [8, 8], [-17, -17], [-4, -4]]]], [[8, 1, 11, 2, 2], [v = 1, u <
-3^(1/2), u^2-2 < x, y = -u^2-x, z = u], [regular_chain, [[1, 1], [-3, -3], [8
, 8], [-17, -17], [-3, -3]]]], [[8, 1, 11, 2, 3], [v = 1, u < -3^(1/2), u^2-2
< x, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-3, -3], [8, 8]
, [-17, -17], [0, 0]]]], [[8, 1, 11, 2, 4], [v = 1, u < -3^(1/2), u^2-2 < x, y
= -u^2-x, z = -u], [regular_chain, [[1, 1], [-3, -3], [8, 8], [-17, -17], [3,
3]]]], [[8, 1, 11, 2, 5], [v = 1, u < -3^(1/2), u^2-2 < x, y = -u^2-x, -u < z]
, [regular_chain, [[1, 1], [-3, -3], [8, 8], [-17, -17], [4, 4]]]], [[8, 8, 1,
4, 1], [v = 1, u = 0, x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[1, 1]
, [0, 0], [-3, -3], [1, 1], [-3, -3]]]], [[8, 8, 1, 4, 2], [v = 1, u = 0, x <
-2, y = -x-2, z = -2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [1, 1]
, [-1482911/1048576, -741455/524288]]]], [[8, 8, 1, 4, 3], [v = 1, u = 0, x <
-2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [0, 0],
[-3, -3], [1, 1], [0, 0]]]], [[8, 8, 1, 4, 4], [v = 1, u = 0, x < -2, y = -x-2
, z = 2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [1, 1], [741455/
524288, 1482911/1048576]]]], [[8, 8, 1, 4, 5], [v = 1, u = 0, x < -2, y = -x-2
, 2^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3, -3], [1, 1], [3, 3]]]],
[[8, 9, 7, 9, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), -x < y, z = z
], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [2, 2], [0, 0]]]], [[8,
14, 1, 3, 1], [v = 1, u = 3^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1
/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [1/
2, 1/2], [-3, -3]]]], [[8, 14, 1, 3, 2], [v = 1, u = 3^(1/2), x < -3, And(0 <
y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]],
[[8, 14, 1, 3, 3], [v = 1, u = 3^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-4, -4], [1/2, 1/2], [0, 0]]]], [[8, 14, 1, 3, 4], [v = 1,
u = 3^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [
[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [1/2, 1/2], [980853/524288
, 1961707/1048576]]]], [[8, 14, 1, 3, 5], [v = 1, u = 3^(1/2), x < -3, And(0 <
y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[8, 15, 5, 8, 1], [v = 1,
3^(1/2) < u, And(-1 < x,x < 0), y = u^2-x-2, z = z], [regular_chain, [[1, 1],
[3, 3], [-1/2, -1/2], [15/2, 15/2], [0, 0]]]], [[9, 6, 1, 5, 1], [And(1 < v,v
< 2^(1/2)), u = -v, x < -1, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [3/2, 3/2], [-2, -2]]]], [[9, 6, 1, 5, 2], [And(1
< v,v < 2^(1/2)), u = -v, x < -1, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]]
, [[9, 6, 1, 5, 3], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(-1-x < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [3/
2, 3/2], [0, 0]]]], [[9, 6, 1, 5, 4], [And(1 < v,v < 2^(1/2)), u = -v, x < -1,
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [3/2, 3/2],
[741455/1048576, 46341/65536]]]], [[9, 6, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u
= -v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [3/2, 3/2], [2, 2]]]], [[9, 7, 9, 8, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2,
1/2], [0, 0], [0, 0]]]], [[9, 9, 4, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-\
1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[9,
9, 4, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = -1, y = 0, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[9, 9, 4, 4, 3], [And(1 < v,v < 2^(1
/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, And(-1 < z,z <
1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [0
, 0], [0, 0]]]], [[9, 9, 4, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0], [1, 1]]]], [[9, 9, 4, 4,
5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1
, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-1, -1], [0, 0], [2, 2]]]], [[9, 10, 8, 5, 1], [And(1 < v,v < 2^(1/2)), u = (
v^2-1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [-1/2, -1/
2], [0, 0]]]], [[9, 17, 1, 2, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u,
x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10, -10], [0, 0], [-5, -5]]]], [[9, 17, 1, 2, 2],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, z = -(-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10]
, [0, 0], [-3315889/1048576, -207243/65536]]]], [[9, 17, 1, 2, 3], [And(1 < v,
v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
-10, -10], [0, 0], [0, 0]]]], [[9, 17, 1, 2, 4], [And(1 < v,v < 2^(1/2)), (v^2
+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [0, 0], [207243/65536,
3315889/1048576]]]], [[9, 17, 1, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [-10, -10], [0, 0], [5, 5]]]], [[10, 1, 3, 7, 1],
[v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(-x < y,y < u^2-x-3), z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [15
/2, 15/2], [0, 0]]]], [[10, 5, 4, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), x = -1, And(0 < y,y < u^2-2), z < -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [
248903/1048576, 248903/1048576], [-2, -2]]]], [[10, 5, 4, 5, 2], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-2), z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [248903/1048576, 248903/1048576], [-3662825/4194304, -\
457853/524288]]]], [[10, 5, 4, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
x = -1, And(0 < y,y < u^2-2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [248903/1048576, 248903/1048576], [0, 0]]]], [[10, 5, 4, 5
, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-2), z
= (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576], [
457853/524288, 915707/1048576]]]], [[10, 5, 4, 5, 5], [v = 2^(1/2), And(-3^(1/
2) < u,u < -v), x = -1, And(0 < y,y < u^2-2), (1-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1
, -1], [248903/1048576, 248903/1048576], [2, 2]]]], [[10, 7, 1, 6, 1], [v = 2^
(1/2), And(-v < u,u < -1), x < u^2-3, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [2666417/1048576, 1333209/524288], [-2, -2]]]], [[10, 7, 1
, 6, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y = -u^2-x+1, z = -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3, -3], [2666417/1048576, 1333209/524288], [-\
1417877/2097152, -354469/524288]]]], [[10, 7, 1, 6, 3], [v = 2^(1/2), And(-v <
u,u < -1), x < u^2-3, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [2666417/1048576, 1333209/524288], [0, 0]]]], [[10
, 7, 1, 6, 4], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y = -u^2-x+1, z =
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3, -3], [2666417/1048576, 1333209/524288], [
354469/524288, 708939/1048576]]]], [[10, 7, 1, 6, 5], [v = 2^(1/2), And(-v < u
,u < -1), x < u^2-3, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3
], [2666417/1048576, 1333209/524288], [2, 2]]]], [[10, 13, 1, 3, 1], [v = 2^(1
/2), And(1 < u,u < v), x < u^2-3, And(0 < y,y < u^2-x-3), z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [763943/1048576, 763943/1048576], [-3, -3]]]], [[10, 13, 1
, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(0 < y,y < u^2-x-3), z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3, -3], [763943/1048576, 763943/1048576], [-\
1580343/1048576, -3160685/2097152]]]], [[10, 13, 1, 3, 3], [v = 2^(1/2), And(1
< u,u < v), x < u^2-3, And(0 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576
, 1265743/1048576], [-3, -3], [763943/1048576, 763943/1048576], [-1/4194304, -\
1/4194304]]]], [[10, 13, 1, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3,
And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [763943/
1048576, 763943/1048576], [790171/524288, 1580343/1048576]]]], [[10, 13, 1, 3,
5], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(0 < y,y < u^2-x-3), (-x-y)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3, -3], [763943/1048576, 763943/1048576], [3, 3]]
]], [[10, 14, 4, 5, 1], [v = 2^(1/2), u = v, x = 0, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [1, 1], [0, 0]]]], [[11, 2, 3, 3, 1], [2^(1/2) < v, u = -(v^
2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1/2,
-1/2], [-3, -3]]]], [[11, 2, 3, 3, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-\
3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [-1738867/524288, -3477733/1048576], [-2, -2], [-1/2, -1/2], [-3315889/
2097152, -207243/131072]]]], [[11, 2, 3, 3, 3], [2^(1/2) < v, u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2
], [-1/2, -1/2], [0, 0]]]], [[11, 2, 3, 3, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2
), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1/2, -1/2], [207243/
131072, 1657945/1048576]]]], [[11, 2, 3, 3, 5], [2^(1/2) < v, u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain
, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1/2, -1/2], [3, 3]
]]], [[11, 3, 7, 8, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(0 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3]
, [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [
129511/524288, 259023/1048576], [0, 0]]]], [[11, 9, 11, 3, 1], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-13648983/4194304, -13648983/4194304], [-3, -3]]]], [[11, 9
, 11, 3, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x,
And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-13648983/4194304, -13648983/
4194304], [-587149/524288, -1174297/1048576]]]], [[11, 9, 11, 3, 3], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-13648983/4194304, -13648983/
4194304], [0, 0]]]], [[11, 9, 11, 3, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [-\
13648983/4194304, -13648983/4194304], [1174297/1048576, 587149/524288]]]], [[
11, 9, 11, 3, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1
< x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [2, 2], [-13648983/4194304, -13648983/
4194304], [3, 3]]]], [[11, 11, 4, 8, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x = -1, y = -u^2+v^2, z = z], [regular_chain, [[3, 3], [0,
0], [-1, -1], [9, 9], [0, 0]]]], [[11, 15, 5, 4, 1], [2^(1/2) < v, And((v^2-1)
^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [0, 0], [-2, -2]]]], [[11, 15, 5, 4, 2], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [0, 0], [-1811727/2097152, -3623453/4194304]]]], [[11, 15, 5,
4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [-1/
8388608, -1/8388608]]]], [[11, 15, 5, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, z = (-x)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288],
[0, 0], [905863/1048576, 113233/131072]]]], [[11, 15, 5, 4, 5], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [0, 0], [2, 2]]]], [[11, 17, 2, 5, 1], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+
1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/
1048576], [-2, -2]]]], [[11, 17, 2, 5, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)
^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1
)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/
131072, -1565959/1048576], [1300363/1048576, 1300363/1048576], [-527729/
1048576, -1055457/2097152]]]], [[11, 17, 2, 5, 3], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-
v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576,
1300363/1048576], [-1/4194304, -1/4194304]]]], [[11, 17, 2, 5, 4], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v
^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/
1048576], [32983/65536, 527729/1048576]]]], [[11, 17, 2, 5, 5], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+
1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/1048576
], [2, 2]]]], [[1, 1, 7, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x
< 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
5, -5], [1/2, 1/2], [-35/2, -35/2], [-6, -6]]]], [[1, 1, 7, 2, 2], [v < -2^(1/
2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-35/2, -35/2], [-\
2161695/524288, -4323389/1048576]]]], [[1, 1, 7, 2, 3], [v < -2^(1/2), u < -(v
^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-35/2
, -35/2], [0, 0]]]], [[1, 1, 7, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(
0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-5, -5], [1/2, 1/2], [-35/2, -35/2], [4323389/1048576, 2161695/524288]]]
], [[1, 1, 7, 2, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y =
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [1/
2, 1/2], [-35/2, -35/2], [6, 6]]]], [[1, 2, 9, 7, 1], [v < -2^(1/2), u = -(v^2
+2)^(1/2), 1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-1/2, -1/2], [0, 0]]]], [[1, 9, 4,
2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y =
u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-395403/262144, -3163223/2097152], [-3
, -3]]]], [[1, 9, 4, 2, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)
^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-395403/262144, -\
3163223/2097152], [-3321417/2097152, -415177/262144]]]], [[1, 9, 4, 2, 3], [v
< -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = u^2-v^2, 
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [-1, -1], [-395403/262144, -3163223
/2097152], [0, 0]]]], [[1, 9, 4, 2, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
395403/262144, -3163223/2097152], [415177/262144, 1660709/1048576]]]], [[1, 9,
4, 2, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y
= u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-395403/262144, -3163223/2097152], [3,
3]]]], [[1, 10, 6, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, And(0 < y,
y < 1), z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576
], [0, 0], [1/2, 1/2], [0, 0]]]], [[1, 14, 6, 4, 1], [v < -2^(1/2), u = (v^2-1
)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [0, 0], [0, 0], [-1, -1]]]], [[1, 14, 6, 4, 2], [v < -2^(1/2
), u = (v^2-1)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3], [741455
/262144, 2965821/1048576], [0, 0], [0, 0], [0, 0]]]], [[1, 14, 6, 4, 3], [v <
-2^(1/2), u = (v^2-1)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [0, 0], [0, 0], [1, 1]]]], [[1, 15, 11, 8, 1
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = 0, z = z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [0, 0],
[0, 0]]]], [[2, 1, 2, 3, 1], [v = -2^(1/2), u < -2, x = -u^2+1, And(0 < y,y <
u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-8, -8], [4, 4], [-3, -3]]]], [[2, 1, 2, 3, 2], [v = -2^(1
/2), u < -2, x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [4, 4]
, [-2, -2]]]], [[2, 1, 2, 3, 3], [v = -2^(1/2), u < -2, x = -u^2+1, And(0 < y,
y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [4, 4], [0, 0]]]], [[2,
1, 2, 3, 4], [v = -2^(1/2), u < -2, x = -u^2+1, And(0 < y,y < u^2-1), z = (u^2
-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
-8, -8], [4, 4], [2, 2]]]], [[2, 1, 2, 3, 5], [v = -2^(1/2), u < -2, x = -u^2+
1, And(0 < y,y < u^2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-8, -8], [4, 4], [3, 3]]]], [[2, 2, 4, 8,
1], [v = -2^(1/2), u = -2, x = -1, y = 2, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [2, 2], [0, 0]]]], [[2, 9, 8, 2,
1], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4
, 3/4], [-7/2, -7/2], [-3, -3]]]], [[2, 9, 8, 2, 2], [v = -2^(1/2), And(-1 < u
,u < 0), x = -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4], [-7/2, -7/2], [-\
1738867/1048576, -3477733/2097152]]]], [[2, 9, 8, 2, 3], [v = -2^(1/2), And(-1
< u,u < 0), x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4,
3/4], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[2, 9, 8, 2, 4], [v = -2^(1/
2), And(-1 < u,u < 0), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4],
[-7/2, -7/2], [869433/524288, 1738867/1048576]]]], [[2, 9, 8, 2, 5], [v = -2^(
1/2), And(-1 < u,u < 0), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4],
[-7/2, -7/2], [3, 3]]]], [[2, 11, 1, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), x
< u^2-3, And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [-4, -4], [35/8, 35/8], [0, 0]]]], [[2, 17, 5, 2,
1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = -u^2-x+1, z
< -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -\
33253297/16777216], [-3, -3]]]], [[2, 17, 5, 2, 2], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), And(-1 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-66506595/33554432, -33253297/16777216], [-825991/
524288, -3303963/2097152]]]], [[2, 17, 5, 2, 3], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), And(-1 < x,x < 0), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152
, 3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -33253297/16777216], [-\
1/4194304, -1/4194304]]]], [[2, 17, 5, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), And(-1 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -\
1/2], [-66506595/33554432, -33253297/16777216], [1651981/1048576, 825991/
524288]]]], [[2, 17, 5, 2, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 <
x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-\
66506595/33554432, -33253297/16777216], [3, 3]]]], [[2, 18, 7, 7, 1], [v = -2^
(1/2), u = 2, And(0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]],
[[3, 3, 6, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[0, 0], [-2599117/2097152, -2599117/2097152], [-3, -3]]]], [[3, 3, 6, 3, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, 
And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-\
2599117/2097152, -2599117/2097152], [-583671/524288, -1167341/1048576]]]], [[3
, 3, 6, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-2599117/2097152, -2599117/2097152], [0, 0]]]], [[
3, 3, 6, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
0, 0], [-2599117/2097152, -2599117/2097152], [1167341/1048576, 583671/524288]]
]], [[3, 3, 6, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-2599117/2097152, -2599117/2097152], [3, 3]]]], [[
3, 5, 1, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [3, 3], [-1, -1]]]],
[[3, 5, 1, 8, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [3, 3], [0, 0]]]], [
[3, 5, 1, 8, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [3, 3], [1, 1]]]], [
[3, 11, 5, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-1794613/4194304, -1794613/
4194304], [-3, -3]]]], [[3, 11, 5, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [-1794613/
4194304, -1794613/4194304], [-1120861/1048576, -280215/262144]]]], [[3, 11, 5,
3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x
< -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-374737/524288, -374737/524288], [-1794613/4194304, -1794613
/4194304], [0, 0]]]], [[3, 11, 5, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [-1794613/
4194304, -1794613/4194304], [280215/262144, 1120861/1048576]]]], [[3, 11, 5, 3
, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x <
-u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
374737/524288, -374737/524288], [-1794613/4194304, -1794613/4194304], [3, 3]]]
], [[3, 13, 2, 4, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2))
, x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [980471/1048576, 122559/131072], [-2, -2]]]]
, [[3, 13, 2, 4, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)),
x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [980471/1048576, 122559/131072], [-765155/
1048576, -1530309/2097152]]]], [[3, 13, 2, 4, 3], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2
+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [980471/1048576, 122559/131072], [-1/4194304, -1/4194304]]]]
, [[3, 13, 2, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)),
x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [980471/1048576, 122559/131072], [382577/
524288, 765155/1048576]]]], [[3, 13, 2, 4, 5], [And(-2^(1/2) < v,v < -1), And(
-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-384703/262144, -1538811/1048576], [980471/1048576, 122559/
131072], [2, 2]]]], [[3, 14, 4, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^
(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-1, -1], [2, 2], [0, 0]]]], [[3,
15, 10, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-546611/1048576, -\
1093221/2097152], [0, 0]]]], [[4, 4, 5, 2, 1], [v = -1, u = -2^(1/2), And(-1 <
x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[4, 4, 5,
2, 2], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[4, 4, 5, 2, 3], [v = -1,
u = -2^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
3/2, -3/2], [0, 0]]]], [[4, 4, 5, 2, 4], [v = -1, u = -2^(1/2), And(-1 < x,x <
0), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]
], [[4, 4, 5, 2, 5], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/
2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2,
-1/2], [-3/2, -3/2], [3, 3]]]], [[4, 5, 10, 8, 1], [v = -1, And(-2^(1/2) < u,u
< -1), x = 1, y = 0, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[4, 10, 5, 3, 1], [v = -1, u = 1
, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [1, 1], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[4, 10, 5, 3, 2], [v =
-1, u = 1, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-1, -1], [-1482911/2097152, -\
741455/1048576]]]], [[4, 10, 5, 3, 3], [v = -1, u = 1, And(0 < x,x < 1), And(-\
1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1, -1], [1, 1], [1/2, 1/2], [-1, -1], [0, 0]]]], [[4, 10, 5, 3, 4], [v = -1, u
= 1, And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[-1, -1], [1, 1], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [
[4, 10, 5, 3, 5], [v = -1, u = 1, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-
y)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-1, -1], [2, 2]
]]], [[4, 12, 1, 3, 1], [v = -1, u = 2^(1/2), x < -2, And(0 < y,y < -x-2), z <
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [
-3, -3], [1/2, 1/2], [-3, -3]]]], [[4, 12, 1, 3, 2], [v = -1, u = 2^(1/2), x <
-2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-3315889/2097152, -\
207243/131072]]]], [[4, 12, 1, 3, 3], [v = -1, u = 2^(1/2), x < -2, And(0 < y,
y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1]
, [741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [0, 0]]]], [[4, 12,
1, 3, 4], [v = -1, u = 2^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [1/2,
1/2], [207243/131072, 1657945/1048576]]]], [[4, 12, 1, 3, 5], [v = -1, u = 2^(
1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1
], [741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[5, 2,
7, 9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), 1-x < y, z
= z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [2, 2], [0, 0]]
]], [[5, 4, 1, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(-x-2
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[5, 4, 1, 5, 2], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[-3, -3], [2, 2], [-1, -1]]]], [[5, 4, 1, 5, 3], [And(-1 < v,v < 0), u = -(v^2
+1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -\
3], [2, 2], [0, 0]]]], [[5, 4, 1, 5, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2
), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-146543/131072, -1172343/1048576], [-3, -3], [2, 2], [1, 1]]]], [[5, 4,
1, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-3, -3], [2, 2], [2, 2]]]], [[5, 11, 8, 6, 1], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [243021/524288,
486043/1048576], [0, 0], [0, 0]]]], [[5, 13, 2, 2, 1], [And(-1 < v,v < 0), (v^
2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [0, 0], [-5, -5]]]], [[5, 13, 2, 2, 2
], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [0, 0], [-\
1637089/524288, -3274177/1048576]]]], [[5, 13, 2, 2, 3], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [0, 0],
[0, 0]]]], [[5, 13, 2, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+
v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [
-39/4, -39/4], [0, 0], [3274177/1048576, 1637089/524288]]]], [[5, 13, 2, 2, 5]
, [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [0, 0], [5, 5
]]]], [[6, 5, 9, 1, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y < -u^2-
x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-\
3, -3], [-3, -3]]]], [[6, 5, 9, 1, 2], [v = 0, And(-1 < u,u < 0), And(0 < x,x
< 1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2],
[1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[6, 5, 9, 1, 3],
[v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y < -u^2-x-1, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-3,
-3], [0, 0]]]], [[6, 5, 9, 1, 4], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1),
y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2,
1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[6, 5, 9, 1, 5], [v = 0,
And(-1 < u,u < 0), And(0 < x,x < 1), y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [3, 3]]]], [[6, 7,
5, 9, 1], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), -x < y, z = z], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [2, 2], [0, 0]]]], [[6, 11,
6, 7, 1], [v = 0, 2^(1/2) < u, x = 0, u^2-1 < y, z = z], [regular_chain, [[0,
0], [3, 3], [0, 0], [9, 9], [0, 0]]]], [[7, 1, 9, 3, 1], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-37/4, -\
37/4], [-4, -4]]]], [[7, 1, 9, 3, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), 
And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-37/4, -37/4], [-1157597/
524288, -2315193/1048576]]]], [[7, 1, 9, 3, 3], [And(0 < v,v < 1), u < -(v^2+2
)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/
8], [-37/4, -37/4], [0, 0]]]], [[7, 1, 9, 3, 4], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-37/4, -37/4], [
2315193/1048576, 1157597/524288]]]], [[7, 1, 9, 3, 5], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-37/4, -37/
4], [4, 4]]]], [[7, 7, 10, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1,
And(-1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-1/2,
-1/2], [0, 0]]]], [[7, 9, 7, 8, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(
1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [
312209/1048576, 156105/524288], [-1, -1]]]], [[7, 9, 7, 8, 2], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [312209/1048576, 156105/524288], [0, 0]]]], [[7, 9
, 7, 8, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x
,x < 0), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 
156105/524288], [1, 1]]]], [[7, 11, 2, 5, 1], [And(0 < v,v < 1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2
), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-\
2583195/1048576, -1291597/524288], [5652431/2097152, 5652431/2097152], [0, 0]]
]], [[7, 12, 4, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, y = 1, z
< 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [1, 1], [-1, -1]]]],
[[7, 12, 4, 6, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, y = 1, z = 0]
, [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [1, 1], [0, 0]]]], [[7, 
12, 4, 6, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [1, 1], [1, 1]]]], [[8, 5, 3
, 2, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = -u^2-x, z
< u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231
/1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [-3, -3]]]], [[
8, 5, 3, 2, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = -u
^2-x, z = u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
-1288231/1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [-\
1265743/1048576, -1265743/1048576]]]], [[8, 5, 3, 2, 3], [v = 1, And(-2^(1/2)
< u,u < -1), And(-u^2 < x,x < -1), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [0, 0]]]], [[8,
5, 3, 2, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = -u^2-
x, z = -u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [1265743
/1048576, 1265743/1048576]]]], [[8, 5, 3, 2, 5], [v = 1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
29957/131072, -239655/1048576], [3, 3]]]], [[8, 6, 6, 4, 1], [v = 1, u = -1, x
= 1, y = -1, z < 0], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-1, -1], [-1,
-1]]]], [[8, 6, 6, 4, 2], [v = 1, u = -1, x = 1, y = -1, z = 0], [
regular_chain, [[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 0]]]], [[8, 6, 6, 4, 3
], [v = 1, u = -1, x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [-1, -1], [
1, 1], [-1, -1], [1, 1]]]], [[8, 11, 4, 4, 1], [v = 1, And(1 < u,u < 2^(1/2)),
x = -1, y = 0, z < -1], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[8, 11, 4, 4, 2], [v = 1, And(1 < u,
u < 2^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[8, 11, 4, 4, 3], [
v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0],
[0, 0]]]], [[8, 11, 4, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = 0, z
= 1], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [
0, 0], [1, 1]]]], [[8, 11, 4, 4, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y
= 0, 1 < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1,
-1], [0, 0], [2, 2]]]], [[8, 12, 8, 1, 1], [v = 1, u = 2^(1/2), x = 1, y < -3,
z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576],
[1, 1], [-4, -4], [-3, -3]]]], [[8, 12, 8, 1, 2], [v = 1, u = 2^(1/2), x = 1,
y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[8, 12,
8, 1, 3], [v = 1, u = 2^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)
^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [
-4, -4], [-1/4194304, -1/4194304]]]], [[8, 12, 8, 1, 4], [v = 1, u = 2^(1/2),
x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[8,
12, 8, 1, 5], [v = 1, u = 2^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-4, -4], [3
, 3]]]], [[9, 3, 4, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
1550541/1048576, 775271/524288], [0, 0]]]], [[9, 4, 8, 5, 1], [And(1 < v,v < 2
^(1/2)), u = -(v^2+1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1
], [-1/2, -1/2], [0, 0]]]], [[9, 12, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u = v,
x < -1, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [3/2,
3/2], [-2, -2]]]], [[9, 12, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, x < -1,
And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [3/2, 3/2], [-\
1482911/2097152, -741455/1048576]]]], [[9, 12, 1, 5, 3], [And(1 < v,v < 2^(1/2
)), u = v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [3/2, 3/2], [0, 0]]]], [[9, 12, 1, 5, 4], [And(1 <
v,v < 2^(1/2)), u = v, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[9, 12, 1,
5, 5], [And(1 < v,v < 2^(1/2)), u = v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [3/2, 3/2], [2, 2]]]], [[9, 13, 9, 4, 1],
[And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u
^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1082629/
1048576, -270657/262144], [-2, -2]]]], [[9, 13, 9, 4, 2], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [1/2, 1/2], [-1082629/1048576, -270657/
262144], [-765155/1048576, -1530309/2097152]]]], [[9, 13, 9, 4, 3], [And(1 < v
,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1
, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1
/2], [-1082629/1048576, -270657/262144], [-1/4194304, -1/4194304]]]], [[9, 13,
9, 4, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-\
1082629/1048576, -270657/262144], [382577/524288, 765155/1048576]]]], [[9, 13,
9, 4, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-\
1082629/1048576, -270657/262144], [2, 2]]]], [[10, 2, 5, 5, 1], [v = 2^(1/2),
u = -2, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [1/4
, 1/4], [-2, -2]]]], [[10, 2, 5, 5, 2], [v = 2^(1/2), u = -2, And(-1 < x,x < 0
), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 2
, 5, 5, 3], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 2, 5, 5, 4], [v
= 2^(1/2), u = -2, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [1/4
, 1/4], [1/2, 1/2]]]], [[10, 2, 5, 5, 5], [v = 2^(1/2), u = -2, And(-1 < x,x <
0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 3, 9, 8
, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = 0, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [0, 0], [0, 0]]]], [[10, 8,
4, 1, 1], [v = 2^(1/2), u = -1, x = -1, y < -1, z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-2, -2]
, [-3, -3]]]], [[10, 8, 4, 1, 2], [v = 2^(1/2), u = -1, x = -1, y < -1, z = -(
1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1,
-1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[10, 8, 4, 1, 3], [v
= 2^(1/2), u = -1, x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[10, 8, 4, 1, 4], [v = 2^(1/2), u = -1, x = -1
, y < -1, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1, -1], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[10, 8, 4,
1, 5], [v = 2^(1/2), u = -1, x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-2, -2], [3, 3]]]], [[
10, 9, 9, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(-
x < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1/2, -1/2], [7/8, 7/8], [-1/2, -1/2], [0, 0]]]], [[10, 15, 11, 4, 1], [v =
2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [-5295845/2097152, -1323961/524288], [-2, -2]]]], [[10, 15,
11, 4, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = u^2-x-3, z = -(-u^
2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [2, 2], [-5295845/2097152, -1323961/524288], [-\
1519901/2097152, -379975/524288]]]], [[10, 15, 11, 4, 3], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [2, 2], [-5295845/2097152, -1323961/524288], [0, 0]]]], [[10
, 15, 11, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = u^2-x-3, z =
(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [2, 2], [-5295845/2097152, -1323961/524288], [
379975/524288, 759951/1048576]]]], [[10, 15, 11, 4, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [
-5295845/2097152, -1323961/524288], [2, 2]]]], [[10, 17, 6, 3, 1], [v = 2^(1/2
), And(3^(1/2) < u,u < 2), x = 0, And(-u^2+1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [-3, -3]]]], [[10, 17,
6, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(-u^2+1 < y,y < 0),
z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [-\
4563/4096, -1168127/1048576]]]], [[10, 17, 6, 3, 3], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339
/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [0, 0]]]], [[10, 17,
6, 3, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, And(-u^2+1 < y,y < 0),
z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [
1168127/1048576, 4563/4096]]]], [[10, 17, 6, 3, 5], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [0, 0], [
-2602619/2097152, -2602619/2097152], [3, 3]]]], [[10, 18, 8, 4, 1], [v = 2^(1/
2), u = 2, x = 1, y = -1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [1, 1], [-1, -1], [-1, -1]]]], [[10, 18, 8, 4, 2], [v = 2^(1
/2), u = 2, x = 1, y = -1, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [1, 1], [-1, -1], [0, 0]]]], [[10, 18, 8, 4, 3], [v = 2^(1/2
), u = 2, x = 1, y = -1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [1, 1], [-1, -1], [1, 1]]]], [[11, 1, 1, 5, 1], [2^(1/2) < v
, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [19/2, 19/2], [-4, -4
]]]], [[11, 1, 1, 5, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And
(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -\
5], [-18, -18], [19/2, 19/2], [-24456785/8388608, -1528549/524288]]]], [[11, 1
, 1, 5, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3]
, [-5, -5], [-18, -18], [19/2, 19/2], [0, 0]]]], [[11, 1, 1, 5, 4], [2^(1/2) <
v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y
)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [19/2, 19/2], [
1528549/524288, 3057099/1048576]]]], [[11, 1, 1, 5, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [19/2, 19/2], [4, 4]]]], [[11, 7
, 3, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [-3, -3]]]], [[11,
7, 3, 4, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [-293517/262144, -\
1174067/1048576]]]], [[11, 7, 3, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [0, 0], [0, 0]]]], [[11, 7, 3, 4, 4], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/
2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [0, 0], [1174067/1048576, 293517/262144]]]], [[11, 7,
3, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x <
-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [3, 3]]]], [[11, 8
, 6, 4, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [0, 0],
[-1, -1]]]], [[11, 8, 6, 4, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y = 0
, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0,
0], [0, 0], [0, 0]]]], [[11, 8, 6, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x
= 0, y = 0, 0 < z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [0, 0], [0, 0], [1, 1]]]], [[11, 12, 6, 5, 1], [2^(1/2) < v, u = (v^
2-2)^(1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [2774271
/1048576, 10837/4096], [0, 0], [1/2, 1/2], [0, 0]]]], [[11, 13, 10, 8, 1], [2^
(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = 0, z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [0, 0], [0,
0]]]], [[11, 20, 3, 5, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1)
, And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-2, -2], [1, 1], [-2, -2]]]], [[11, 20, 3, 5, 2], [
2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2,
-2], [1, 1], [-1, -1]]]], [[11, 20, 3, 5, 3], [2^(1/2) < v, u = (v^2+2)^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [1, 1
], [0, 0]]]], [[11, 20, 3, 5, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,
x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-2, -2], [1, 1], [1, 1]]]], [[11, 20, 3, 5,
5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [
-2, -2], [1, 1], [2, 2]]]], [[11, 21, 7, 6, 1], [2^(1/2) < v, (v^2+2)^(1/2) <
u, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2
], [0, 0], [0, 0]]]], [[1, 4, 2, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x =
-2, y = 2, z < 0], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536
], [-2, -2], [2, 2], [-1, -1]]]], [[1, 4, 2, 4, 2], [v < -2^(1/2), u = -(v^2+1
)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[-3, -3], [-3315889/1048576,
-207243/65536], [-2, -2], [2, 2], [0, 0]]]], [[1, 4, 2, 4, 3], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-2, -2], [2, 2], [1, 1]]]], [[1, 5, 8, 7, 1]
, [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, 0 < y, z = z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [1, 1], [0
, 0]]]], [[1, 11, 10, 2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)
^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [8, 8], [-18, -18], [-5, -5]]]], [[1, 11, 10
, 2, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^
2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [8, 8], [-18, -18], [-3315889/1048576, -207243/65536]]]], [[1, 11, 10, 2,
3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1,
y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [0, 0], [8, 8], [-18, -18], [0, 0]]]], [[1, 11, 10,
2, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-\
1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0]
, [8, 8], [-18, -18], [207243/65536, 3315889/1048576]]]], [[1, 11, 10, 2, 5],
[v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y =
2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [8, 8
], [-18, -18], [5, 5]]]], [[1, 13, 3, 9, 1], [v < -2^(1/2), And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), -u^2+v^2-x-1 < y, z = z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [4, 4], [0, 0]]]], [[1, 17, 8, 1, 1], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [0, 0], [-3, -3], [-3, -3]]]], [[1,
17, 8, 1, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^
2-1, z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[1, 17, 8
, 1, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1,
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 17
, 8, 1, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-\
1, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[1, 17, 8, 1, 5], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z
], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-3, -3]
, [3, 3]]]], [[1, 19, 3, 6, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [
915943/524288, 915943/524288], [-1, -1]]]], [[1, 19, 3, 6, 2], [v < -2^(1/2),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x,
z = 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
915943/524288, -915943/524288], [915943/524288, 915943/524288], [0, 0]]]], [[1
, 19, 3, 6, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-
u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-915943/524288, -915943/524288], [915943/524288, 
915943/524288], [1, 1]]]], [[2, 3, 8, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), x = u^2-3, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
1048576, 126367/262144], [-505467/2097152, -505467/2097152], [0, 0]]]], [[2, 5
, 4, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y < -u^2+2, z < -(
1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1, -1], [-2, -2], [-3, -3]]]], [[2, 5, 4, 1, 2],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y < -u^2+2, z = -(1-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]],
[[2, 5, 4, 1, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y < -u^2+2,
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-2, -2], [-1/
4194304, -1/4194304]]]], [[2, 5, 4, 1, 4], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), x = -1, y < -u^2+2, z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-2, -2], [
908093/524288, 1816187/1048576]]]], [[2, 5, 4, 1, 5], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x = -1, y < -u^2+2, (1-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -\
1], [-2, -2], [3, 3]]]], [[2, 6, 6, 7, 1], [v = -2^(1/2), u = v, x = 1, 0 < y,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576
, -741455/524288], [1, 1], [1, 1], [0, 0]]]], [[2, 8, 3, 2, 1], [v = -2^(1/2),
u = -1, And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [-3, -\
3]]]], [[2, 8, 3, 2, 2], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y = -x-2,
z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[2, 8, 3,
2, 3], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-\
3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[2, 8, 3, 2, 4], [v = -2^(1/2), u = -1,
And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 
1482911/1048576]]]], [[2, 8, 3, 2, 5], [v = -2^(1/2), u = -1, And(-2 < x,x < -\
1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[2, 14, 3, 1, 1], [v = -2
^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[2, 14, 3, 1, 2], [v = -2^(1/2
), u = -v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1
/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[2, 14, 3, 1, 3], [v =
-2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[2, 14, 3, 1, 4], [v =
-2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[2, 14
, 3, 1, 5], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[2, 15, 10, 7, 1], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 19, 11, 3, 1], [v = -2^(1/2),
2 < u, u^2-3 < x, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-11, -11], [-3, -3]]]]
, [[2, 19, 11, 3, 2], [v = -2^(1/2), 2 < u, u^2-3 < x, And(-u^2-x+1 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3
, 3], [7, 7], [-11, -11], [-2, -2]]]], [[2, 19, 11, 3, 3], [v = -2^(1/2), 2 <
u, u^2-3 < x, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-11,
-11], [0, 0]]]], [[2, 19, 11, 3, 4], [v = -2^(1/2), 2 < u, u^2-3 < x, And(-u^2
-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [7, 7], [-11, -11], [2, 2]]]], [[2, 19, 11, 3, 5], [v
= -2^(1/2), 2 < u, u^2-3 < x, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-11, -11]
, [3, 3]]]], [[3, 2, 2, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2),
x = -3, y = 4, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-3, -3], [4, 4], [0, 0]]]], [[3, 8, 5,
2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -
x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[3
, 8, 5, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0
), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[3, 8, 5, 2, 3], [And(-2^(1/2) < v,v < -\
1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[3, 8, 5, 2,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2
, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [-3/2, -3/2], [741455/524288,
1482911/1048576]]]], [[3, 8, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2],
[-3/2, -3/2], [3, 3]]]], [[3, 9, 10, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[3, 17
, 3, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [-15818595/8388608, -15818595/8388608], [-4, -4]]]], [[3, 17, 3, 3,
2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-\
15818595/8388608, -15818595/8388608], [-2705483/1048576, -5410965/2097152]]]],
[[3, 17, 3, 3, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-\
1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/8388608],
[-1/4194304, -1/4194304]]]], [[3, 17, 3, 3, 4], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
-10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/8388608],
[1352741/524288, 2705483/1048576]]]], [[3, 17, 3, 3, 5], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [-10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/
8388608], [4, 4]]]], [[4, 1, 5, 6, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [1/2, 1/
2], [-1, -1]]]], [[4, 1, 5, 6, 2], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y
= -x, z = 0], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [
0, 0]]]], [[4, 1, 5, 6, 3], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y = -x,
0 < z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]
]], [[4, 7, 7, 1, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y < u^2
-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8
], [-3, -3], [-3, -3]]]], [[4, 7, 7, 1, 2], [v = -1, And(-1 < u,u < 0), And(-u
^2 < x,x < 0), y < u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1
/2, -1/2], [-1/8, -1/8], [-3, -3], [-7414553/4194304, -926819/524288]]]], [[4,
7, 7, 1, 3], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y < u^2-x-2, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [-1/8, -1/8], [-3, -3], [0, 0]]]], [[4, 7, 7, 1, 4], [v = -1, And(-1 < u,u <
0), And(-u^2 < x,x < 0), y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-1/2, -1/2], [-1/8, -1/8], [-3, -3], [926819/524288, 1853639/1048576]]]]
, [[4, 7, 7, 1, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y < u^2-x
-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8],
[-3, -3], [3, 3]]]], [[4, 9, 2, 4, 1], [v = -1, And(0 < u,u < 1), x = u^2-2, y
= -2*u^2+2, z < -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [3/2
, 3/2], [-2, -2]]]], [[4, 9, 2, 4, 2], [v = -1, And(0 < u,u < 1), x = u^2-2, y
= -2*u^2+2, z = -u], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [3/2
, 3/2], [-1/2, -1/2]]]], [[4, 9, 2, 4, 3], [v = -1, And(0 < u,u < 1), x = u^2-\
2, y = -2*u^2+2, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
7/4, -7/4], [3/2, 3/2], [0, 0]]]], [[4, 9, 2, 4, 4], [v = -1, And(0 < u,u < 1)
, x = u^2-2, y = -2*u^2+2, z = u], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/
4, -7/4], [3/2, 3/2], [1/2, 1/2]]]], [[4, 9, 2, 4, 5], [v = -1, And(0 < u,u <
1), x = u^2-2, y = -2*u^2+2, u < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
7/4, -7/4], [3/2, 3/2], [2, 2]]]], [[4, 13, 6, 7, 1], [v = -1, And(2^(1/2) < u
,u < 3^(1/2)), x = 0, u^2-2 < y, z = z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [0, 0], [2, 2], [0, 0]]]], [[4, 14, 9, 5, 1], [v =
-1, u = 3^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1, -1]
, [908093/524288, 1816187/1048576], [2, 2], [-3/2, -3/2], [0, 0]]]], [[5, 5, 7
, 2, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,
x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304]
, [-1160525/1048576, -290131/262144], [-3, -3]]]], [[5, 5, 7, 2, 2], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^
2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-1160525/
1048576, -290131/262144], [-19417/16384, -1242687/1048576]]]], [[5, 5, 7, 2, 3
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0)
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [0, 0]]]], [[5
, 5, 7, 2, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-\
1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-1160525/1048576, -290131/262144], [1242687/1048576, 19417/16384]]]
], [[5, 5, 7, 2, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^
2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -\
1248837/4194304], [-1160525/1048576, -290131/262144], [3, 3]]]], [[5, 7, 4, 3,
1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [-1/8, -1/8],
[-3, -3]]]], [[5, 7, 4, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1,
And(u^2-v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0,
0], [-1, -1], [-1/8, -1/8], [-1112183/1048576, -556091/524288]]]], [[5, 7, 4,
3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0],
[-1, -1], [-1/8, -1/8], [0, 0]]]], [[5, 7, 4, 3, 4], [And(-1 < v,v < 0), And(v
< u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [-1, -1], [-1/8, -1/8], [556091/524288, 1112183/1048576
]]]], [[5, 7, 4, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(u^2
-v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-1,
-1], [-1/8, -1/8], [3, 3]]]], [[5, 8, 7, 4, 1], [And(-1 < v,v < 0), u = -v, 1
< x, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-2, -\
2], [-1, -1]]]], [[5, 8, 7, 4, 2], [And(-1 < v,v < 0), u = -v, 1 < x, y = -x,
z = 0], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-2, -2], [0, 0]]]]
, [[5, 8, 7, 4, 3], [And(-1 < v,v < 0), u = -v, 1 < x, y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-2, -2], [1, 1]]]], [[5, 10
, 3, 6, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x,
z < 0], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2
, -3/2], [3/2, 3/2], [-1, -1]]]], [[5, 10, 3, 6, 2], [And(-1 < v,v < 0), u = (
v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2
], [1172343/1048576, 146543/131072], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[5,
10, 3, 6, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -
x, 0 < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-\
3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[6, 2, 9, 8, 1], [v = 0, u = -2^(1/2), 1 <
x, y = 0, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[2, 2], [0, 0], [0, 0]]]], [[6, 4, 4, 1, 1], [v = 0, u = -1, x = -1, y < -1, z
< -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2, -2], [-3, -\
3]]]], [[6, 4, 4, 1, 2], [v = 0, u = -1, x = -1, y < -1, z = -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 4, 4, 1, 3], [v = 0, u = -1, x = -1, y < -1, And(-(1
-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-1, -1],
[-2, -2], [-1/4194304, -1/4194304]]]], [[6, 4, 4, 1, 4], [v = 0, u = -1, x = -\
1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-2,
-2], [908093/524288, 1816187/1048576]]]], [[6, 4, 4, 1, 5], [v = 0, u = -1, x
= -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [
-2, -2], [3, 3]]]], [[6, 8, 9, 5, 1], [v = 0, u = 1, 1 < x, And(-x < y,y < 0),
z = z], [regular_chain, [[0, 0], [1, 1], [2, 2], [-1, -1], [0, 0]]]], [[6, 10,
3, 3, 1], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(
-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2,
-2], [-1/2, -1/2], [-3, -3]]]], [[6, 10, 3, 3, 2], [v = 0, u = 2^(1/2), And(-3
< x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0],
[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -\
207243/131072]]]], [[6, 10, 3, 3, 3], [v = 0, u = 2^(1/2), And(-3 < x,x < -1),
And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [0, 0]]]],
[[6, 10, 3, 3, 4], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0
), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576
], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[6, 10, 3, 3,
5], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [-1
/2, -1/2], [3, 3]]]], [[7, 4, 9, 7, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2),
1 < x, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [2, 2], [1, 1], [0, 0]]]], [[7, 6, 4, 2, 1], [And(0 < v,v < 1), u =
-v, x = 0, y = -1, z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0],
[-1, -1], [-2, -2]]]], [[7, 6, 4, 2, 2], [And(0 < v,v < 1), u = -v, x = 0, y =
-1, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-1, -1], [-1,
-1]]]], [[7, 6, 4, 2, 3], [And(0 < v,v < 1), u = -v, x = 0, y = -1, And(-1 < z
,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-1, -1], [0, 0]]
]], [[7, 6, 4, 2, 4], [And(0 < v,v < 1), u = -v, x = 0, y = -1, z = 1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-1, -1], [1, 1]]]], [[7, 6,
4, 2, 5], [And(0 < v,v < 1), u = -v, x = 0, y = -1, 1 < z], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [0, 0], [-1, -1], [2, 2]]]], [[7, 13, 8, 7, 1], [And(
0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, And(0 < y,y < u^2-v^2-2), z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [27/8, 27/8], [0, 0]]]], [[8, 1, 
10, 6, 1], [v = 1, u < -3^(1/2), x = u^2-2, y = 0, z = z], [regular_chain, [[1
, 1], [-3, -3], [7, 7], [0, 0], [0, 0]]]], [[8, 8, 1, 7, 1], [v = 1, u = 0, x
< -2, -x < y, z = z], [regular_chain, [[1, 1], [0, 0], [-3, -3], [4, 4], [0, 0
]]]], [[8, 9, 7, 8, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -x,
z < 0], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [1/8, 1/8], [-1, -1
]]]], [[8, 9, 7, 8, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -x,
z = 0], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [1/8, 1/8], [0, 0]]
]], [[8, 9, 7, 8, 3], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -x, 0
< z], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [1/8, 1/8], [1, 1]]]]
, [[8, 14, 1, 4, 1], [v = 1, u = 3^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [-\
3, -3]]]], [[8, 14, 1, 4, 2], [v = 1, u = 3^(1/2), x < -3, y = -x-3, z = -3^(1
/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [1,
1], [-1816187/1048576, -3632373/2097152]]]], [[8, 14, 1, 4, 3], [v = 1, u = 3^
(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1], [-1/4194304, -1/
4194304]]]], [[8, 14, 1, 4, 4], [v = 1, u = 3^(1/2), x < -3, y = -x-3, z = 3^(
1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [1
, 1], [908093/524288, 1816187/1048576]]]], [[8, 14, 1, 4, 5], [v = 1, u = 3^(1
/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[1, 1], [908093/524288,
1816187/1048576], [-4, -4], [1, 1], [3, 3]]]], [[8, 15, 5, 5, 1], [v = 1, 3^(1
/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8, 15
, 5, 5, 2], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[8, 15, 5, 5, 3], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[8, 15, 5, 5, 4], [v = 1, 3^(1/2)
< u, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[1, 1], [3, 3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[8, 15, 5, 5, 5], [
v = 1, 3^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 6, 2
, 1, 1], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y < 0, z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[9, 6, 2, 1, 2], [And(1 <
v,v < 2^(1/2)), u = -v, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[9, 6, 2, 1, 3], [And(1
< v,v < 2^(1/2)), u = -v, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[9, 6, 2, 1, 4], [And(1 < v,
v < 2^(1/2)), u = -v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[9, 6, 2, 1, 5], [And(1 <
v,v < 2^(1/2)), u = -v, x = -1, y < 0, (1-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [-1, -1], [3, 3]]]], [[9, 7, 9, 7, 1], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9, 9, 4, 5, 1], [And(
1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 <
y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9, 9, 4, 5, 2], [And(1
< v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y
,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[9,
9, 4, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[9, 9, 4, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [1/2, 1/
2], [741455/1048576, 46341/65536]]]], [[9, 9, 4, 5, 5], [And(1 < v,v < 2^(1/2)
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1,
-1], [1/2, 1/2], [2, 2]]]], [[9, 10, 8, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v
^2-1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [-3, -3], [-3, -3]]
]], [[9, 10, 8, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y =
-3, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [1, 1], [-3, -3], [-1482911/1048576, -741455/
524288]]]], [[9, 10, 8, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x =
1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [-3, -3], [0, 0]]]]
, [[9, 10, 8, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y = -3
, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]]
, [[9, 10, 8, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y = -3
, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [-3, -3], [3, 3]]]], [[9, 17, 1, 5, 1], [And(
1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [-10, -10], [12013647/2097152, 12013647/2097152], [-4, -4]]]], [[9,
17, 1, 5, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(
-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10, -10], [12013647/2097152, 12013647/
2097152], [-2167143/1048576, -1083571/524288]]]], [[9, 17, 1, 5, 3], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [-10, -10], [12013647/2097152, 12013647/2097152],
[0, 0]]]], [[9, 17, 1, 5, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [12013647/2097152, 
12013647/2097152], [1083571/524288, 2167143/1048576]]]], [[9, 17, 1, 5, 5], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-10, -10], [12013647/2097152, 12013647/2097152], [4, 4]]]],
[[10, 1, 3, 6, 1], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -x, z < 0
], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2],
[9/2, 9/2], [-1, -1]]]], [[10, 1, 3, 6, 2], [v = 2^(1/2), u < -2, And(-u^2+1 <
x,x < -1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [-9/2, -9/2], [9/2, 9/2], [0, 0]]]], [[10, 1, 3, 6, 3], [v = 2^(1/2)
, u < -2, And(-u^2+1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [9/2, 9/2], [1, 1]]]], [[10,
5, 4, 6, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = u^2-2, z < -(
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1, -1], [248903/524288, 497807/1048576], [-2, -2
]]]], [[10, 5, 4, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = u
^2-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [-1, -1], [248903/524288, 497807/1048576
], [-379975/524288, -1519899/2097152]]]], [[10, 5, 4, 6, 3], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), x = -1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304
, -6598195/4194304], [-1, -1], [248903/524288, 497807/1048576], [-1/4194304, -\
1/4194304]]]], [[10, 5, 4, 6, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
-1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [248903/524288, 
497807/1048576], [759949/1048576, 379975/524288]]]], [[10, 5, 4, 6, 5], [v = 2
^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = u^2-2, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [248903/524288, 497807/1048576], [2, 2]]]], [[10, 7, 1, 3,
1], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(0 < y,y < u^2-x-3), z < -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3, -3], [763943/1048576, 763943/1048576], [-3, -\
3]]]], [[10, 7, 1, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(0 <
y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/1048576, 
763943/1048576], [-1580343/1048576, -3160685/2097152]]]], [[10, 7, 1, 3, 3], [
v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(0 < y,y < u^2-x-3), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/1048576, 
763943/1048576], [-1/4194304, -1/4194304]]]], [[10, 7, 1, 3, 4], [v = 2^(1/2),
And(-v < u,u < -1), x < u^2-3, And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [763943/1048576, 763943/1048576], [790171/524288, 1580343/
1048576]]]], [[10, 7, 1, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, 
And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/
1048576, 763943/1048576], [3, 3]]]], [[10, 13, 1, 6, 1], [v = 2^(1/2), And(1 <
u,u < v), x < u^2-3, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3],
[2666417/1048576, 1333209/524288], [-2, -2]]]], [[10, 13, 1, 6, 2], [v = 2^(1/
2), And(1 < u,u < v), x < u^2-3, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [2666417/1048576, 1333209/524288], [-1417877/2097152, -\
354469/524288]]]], [[10, 13, 1, 6, 3], [v = 2^(1/2), And(1 < u,u < v), x < u^2
-3, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3
], [2666417/1048576, 1333209/524288], [0, 0]]]], [[10, 13, 1, 6, 4], [v = 2^(1
/2), And(1 < u,u < v), x < u^2-3, y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [2666417/1048576, 1333209/524288], [354469/524288, 708939/
1048576]]]], [[10, 13, 1, 6, 5], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y
= -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [2666417/1048576, 
1333209/524288], [2, 2]]]], [[10, 14, 4, 4, 1], [v = 2^(1/2), u = v, x = 0, y
= 0, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288
, 1482911/1048576], [0, 0], [0, 0], [-1, -1]]]], [[10, 14, 4, 4, 2], [v = 2^(1
/2), u = v, x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [0, 0], [0, 0], [0, 0]]]], [[10, 
14, 4, 4, 3], [v = 2^(1/2), u = v, x = 0, y = 0, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [0,
0], [1, 1]]]], [[11, 2, 3, 6, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x
,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-2, -2], [2, 2], [-1, -1]]]], [[11, 2, 3, 6, 2], [2^(1/2) < v, u =
-(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [
-1738867/524288, -3477733/1048576], [-2, -2], [2, 2], [0, 0]]]], [[11, 2, 3, 6
, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [2, 2],
[1, 1]]]], [[11, 3, 7, 7, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [129511/1048576, 129511/1048576], [0, 0]]]], [[11, 9, 11, 4, 1
], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = -x, z
< 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2],
[-2, -2], [-1, -1]]]], [[11, 9, 11, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-2, -2], [0, 0]]]], [[11, 9, 11
, 4, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y =
-x, 0 < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
2, 2], [-2, -2], [1, 1]]]], [[11, 11, 4, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 11, 4
, 5, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(
0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [1
/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[11, 11, 4, 5, 3], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), And(
-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-1, -1],
[1/2, 1/2], [0, 0]]]], [[11, 11, 4, 5, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/
65536]]]], [[11, 11, 4, 5, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3],
[0, 0], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 15, 5, 7, 1], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [1048577/2097152, 1048577/2097152]
, [-2, -2]]]], [[11, 15, 5, 7, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [1048577/2097152, 1048577/2097152], [-16263/32768, -520415/
1048576]]]], [[11, 15, 5, 7, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [1048577/2097152, 1048577/2097152]
, [0, 0]]]], [[11, 15, 5, 7, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [1048577/2097152, 1048577/2097152], [520415/1048576, 16263/
32768]]]], [[11, 15, 5, 7, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And
(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/524288, -\
391287/524288], [1048577/2097152, 1048577/2097152], [2, 2]]]], [[11, 17, 2, 4,
1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^
2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [517383/524288, 1034767/1048576],
[-2, -2]]]], [[11, 17, 2, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [
517383/524288, 1034767/1048576], [-373161/524288, -1492643/2097152]]]], [[11,
17, 2, 4, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y =
2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [517383/524288, 1034767/1048576], [-1/4194304, -1/4194304]]]
], [[11, 17, 2, 4, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^
2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [517383/
524288, 1034767/1048576], [746321/1048576, 373161/524288]]]], [[11, 17, 2, 4,
5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^
2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [517383/524288, 1034767/1048576],
[2, 2]]]], [[1, 1, 7, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x <
1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3
], [-5, -5], [1/2, 1/2], [-9, -9], [-4, -4]]]], [[1, 1, 7, 3, 2], [v < -2^(1/2
), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-9, -9], [-\
24456785/8388608, -1528549/524288]]]], [[1, 1, 7, 3, 3], [v < -2^(1/2), u < -(
v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-9
, -9], [0, 0]]]], [[1, 1, 7, 3, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [-5, -5], [1/2, 1/2], [-9, -9], [1528549/524288, 3057099/1048576]]]],
[[1, 1, 7, 3, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5],
[1/2, 1/2], [-9, -9], [4, 4]]]], [[1, 2, 9, 8, 1], [v < -2^(1/2), u = -(v^2+2)
^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [2, 2], [0, 0], [0, 0]]]], [[1, 9, 4, 1, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y < u^2-v^2, z < -(1-y)^(1
/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1,
-1], [-3, -3], [-3, -3]]]], [[1, 9, 4, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), x = -1, y < u^2-v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
3, -3], [-2, -2]]]], [[1, 9, 4, 1, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1],
[-3, -3], [0, 0]]]], [[1, 9, 4, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -1, y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-3, -3], [2, 2]]]],
[[1, 9, 4, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= -1, y < u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-3, -3], [3, 3]]]], [[1, 10, 6, 4, 1],
[v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-3,
-3], [-5548543/2097152, -2774271/1048576], [0, 0], [0, 0], [-1, -1]]]], [[1, 
10, 6, 4, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [0, 0]
, [0, 0]]]], [[1, 10, 6, 4, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y =
0, 0 < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0
, 0], [0, 0], [1, 1]]]], [[1, 14, 6, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2),
x = 0, 0 < y, z = z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [0, 0], [1, 1], [0, 0]]]], [[1, 15, 11, 9, 1], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), 1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [2, 2], [1, 1], [0, 0]]]], [[2, 1, 2, 2, 1]
, [v = -2^(1/2), u < -2, x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [0, 0]
, [-4, -4]]]], [[2, 1, 2, 2, 2], [v = -2^(1/2), u < -2, x = -u^2+1, y = 0, z =
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [-8, -8], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 2, 2, 3]
, [v = -2^(1/2), u < -2, x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8,
-8], [0, 0], [-3/8388608, -3/8388608]]]], [[2, 1, 2, 2, 4], [v = -2^(1/2), u <
-2, x = -u^2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [-8, -8], [0, 0], [741455/262144, 2965821/1048576]]
]], [[2, 1, 2, 2, 5], [v = -2^(1/2), u < -2, x = -u^2+1, y = 0, (u^2-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8],
[0, 0], [4, 4]]]], [[2, 2, 4, 7, 1], [v = -2^(1/2), u = -2, x = -1, And(1 < y,
y < 2), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2],
[-1, -1], [3/2, 3/2], [0, 0]]]], [[2, 9, 8, 3, 1], [v = -2^(1/2), And(-1 < u,u
< 0), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4],
[-17/8, -17/8], [-3, -3]]]], [[2, 9, 8, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0
), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4],
[-17/8, -17/8], [-1229565/1048576, -307391/262144]]]], [[2, 9, 8, 3, 3], [v =
-2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), And(-(u^2
-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/4, 3/4], [-17/8, -17/8], [0, 0]]]], [[2, 9, 8
, 3, 4], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(2*u^2-4 < y,y < u^2
-1), z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1/2, -1/2], [3/4, 3/4], [-17/8, -17/8], [307391/262144, 1229565/1048576]]]
], [[2, 9, 8, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(2*u^2-4
< y,y < u^2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [3/4, 3/4], [-17/8, -17/8], [3, 3]]]], [[2, 11,
1, 8, 1], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = -u^2-x+1, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [19/
4, 19/4], [0, 0]]]], [[2, 17, 5, 1, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -\
1/2], [-3, -3], [-3, -3]]]], [[2, 17, 5, 1, 2], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), And(-1 < x,x < 0), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2
, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[2, 17, 5, 1, 3], [
v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y < -u^2-x+1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-3, -3], [0, 0]]]
], [[2, 17, 5, 1, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0)
, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[2, 17, 5, 1, 5], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), And(-1 < x,x < 0), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2,
-1/2], [-3, -3], [3, 3]]]], [[2, 18, 7, 6, 1], [v = -2^(1/2), u = 2, And(0 < x
,x < 1), y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
2, 2], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 3, 6, 4, 1], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [0, 0], [-1, -1]]]], [[3, 3, 6, 4, 2], [And(-2^(1/2
) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z = 0
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [0, 0], [0, 0], [0, 0]]]], [[3, 3, 6, 4, 3], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [0, 0], [1, 1]]]], [[3, 5, 1, 9, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [4, 4], [0, 0]]]], [[3, 11, 5, 2, 1], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y =
u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [-3589227/4194304, -1794613/2097152], [-3, -3]]]], [[3, 11, 5, 2, 2],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+
v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [-3589227/4194304, -1794613/2097152], [-1314069/1048576, -\
328517/262144]]]], [[3, 11, 5, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(
1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+
1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [-3589227/4194304, -1794613/2097152], [0, 0]]]], [[3, 11, 5, 2, 4], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v
^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [-3589227/4194304, -1794613/2097152], [328517/262144, 1314069
/1048576]]]], [[3, 11, 5, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-374737/524288, -374737/524288], [-3589227/4194304, -1794613
/2097152], [3, 3]]]], [[3, 13, 2, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u
,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z < -(u^2-v^2
-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [980471/2097152
, 980471/2097152], [-3, -3]]]], [[3, 13, 2, 3, 2], [And(-2^(1/2) < v,v < -1),
And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z =
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [
980471/2097152, 980471/2097152], [-1048577/1048576, -1]]]], [[3, 13, 2, 3, 3],
[And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(
0 < y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-384703/262144, -1538811/1048576], [980471/2097152, 980471/
2097152], [0, 0]]]], [[3, 13, 2, 3, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [980471/2097152
, 980471/2097152], [1, 1048577/1048576]]]], [[3, 13, 2, 3, 5], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-\
2*v^2), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [980471/2097152, 980471/2097152], [3, 3]]]], [[3, 14, 4, 6, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y = 1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1, -1], [1, 1], [-1, -1]]]], [[3, 14, 4, 6, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [1, 1]
, [0, 0]]]], [[3, 14, 4, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = -1, y = 1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [-1, -1], [1, 1], [1, 1]]]], [[3, 15, 10, 5,
1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1
, And(-1 < y,y < u^2-v^2-2), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-1595187/2097152, -\
1595187/2097152], [0, 0]]]], [[4, 4, 5, 3, 1], [v = -1, u = -2^(1/2), And(-1 <
x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [
[4, 4, 5, 3, 2], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0)
, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[
4, 4, 5, 3, 3], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911
/1048576, -741455/524288], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[4, 4, 5, 3
, 4], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y
)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2
, -1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[4, 4, 5, 3, 5],
[v = -1, u = -2^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2
], [-3/4, -3/4], [3, 3]]]], [[4, 5, 10, 9, 1], [v = -1, And(-2^(1/2) < u,u < -\
1), x = 1, 0 < y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1, 1], [1, 1], [0, 0]]]], [[4, 10, 5, 2, 1], [v = -1, u = 1
, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[-1, -1], [1, 1], [1/2
, 1/2], [-3/2, -3/2], [-2, -2]]]], [[4, 10, 5, 2, 2], [v = -1, u = 1, And(0 <
x,x < 1), y = -1-x, z = -1], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-\
3/2, -3/2], [-1, -1]]]], [[4, 10, 5, 2, 3], [v = -1, u = 1, And(0 < x,x < 1),
y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [
-3/2, -3/2], [0, 0]]]], [[4, 10, 5, 2, 4], [v = -1, u = 1, And(0 < x,x < 1), y
= -1-x, z = 1], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-3/2, -3/2], [
1, 1]]]], [[4, 10, 5, 2, 5], [v = -1, u = 1, And(0 < x,x < 1), y = -1-x, 1 < z
], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[4
, 12, 1, 2, 1], [v = -1, u = 2^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [0, 0],
[-3, -3]]]], [[4, 12, 1, 2, 2], [v = -1, u = 2^(1/2), x < -2, y = 0, z = -(-x)
^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3]
, [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[4, 12, 1, 2, 3], [v = -1,
u = 2^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [0, 0],
[-1/4194304, -1/4194304]]]], [[4, 12, 1, 2, 4], [v = -1, u = 2^(1/2), x < -2,
y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[4, 12, 1, 2
, 5], [v = -1, u = 2^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [0, 0], [3, 3]]]], [[5, 2
, 8, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5, -5], [-3, -\
3]]]], [[5, 2, 8, 1, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y < -4
, z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5
, -5], [-2, -2]]]], [[5, 2, 8, 1, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/
2, -1/2], [-3/2, -3/2], [1, 1], [-5, -5], [0, 0]]]], [[5, 2, 8, 1, 4], [And(-1
< v,v < 0), u = -(v^2+2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5, -5], [2, 2]]]], [[5,
2, 8, 1, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y < -4, (-y-1)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-5, -5], [3, 3]
]]], [[5, 4, 1, 6, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y = -x,
z < 0], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3
, -3], [3, 3], [-1, -1]]]], [[5, 4, 1, 6, 2], [And(-1 < v,v < 0), u = -(v^2+1)
^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-146543/131072
, -1172343/1048576], [-3, -3], [3, 3], [0, 0]]]], [[5, 4, 1, 6, 3], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [-3, -3], [3, 3], [1, 1]]]], [[5, 
11, 8, 5, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-243021/
1048576, -243021/1048576], [0, 0]]]], [[5, 13, 2, 1, 1], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [-1, -1], [-5, -5]]]], [
[5, 13, 2, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0
, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -\
39/4], [-1, -1], [-3437987/1048576, -1718993/524288]]]], [[5, 13, 2, 1, 3], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1
)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3],
[-39/4, -39/4], [-1, -1], [0, 0]]]], [[5, 13, 2, 1, 4], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [-1, -1], [1718993/
524288, 3437987/1048576]]]], [[5, 13, 2, 1, 5], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [3, 3], [-39/4, -39/4], [-1, -1], [5, 5]]]], [[6, 5, 9, 2, 1], [v =
0, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-7/4, -7/4], [-3, -3]]]], [
[6, 5, 9, 2, 2], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x-1, z
= -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-7/4, -\
7/4], [-146543/131072, -1172343/1048576]]]], [[6, 5, 9, 2, 3], [v = 0, And(-1
< u,u < 0), And(0 < x,x < 1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)
^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-7/4, -7/4], [0,
0]]]], [[6, 5, 9, 2, 4], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2
-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [
-7/4, -7/4], [1172343/1048576, 146543/131072]]]], [[6, 5, 9, 2, 5], [v = 0, 
And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-7/4, -7/4], [3, 3]]]], [[6
, 7, 6, 1, 1], [v = 0, And(0 < u,u < 1), x = u^2-1, y < -2*u^2, z < -(-u^2-y+1
)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-2, -2], [-3, -3
]]]], [[6, 7, 6, 1, 2], [v = 0, And(0 < u,u < 1), x = u^2-1, y < -2*u^2, z = -
(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-2, -2]
, [-1738867/1048576, -3477733/2097152]]]], [[6, 7, 6, 1, 3], [v = 0, And(0 < u
,u < 1), x = u^2-1, y < -2*u^2, And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2)
)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-2, -2], [-1/4194304,
-1/4194304]]]], [[6, 7, 6, 1, 4], [v = 0, And(0 < u,u < 1), x = u^2-1, y < -2*
u^2, z = (-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4],
[-2, -2], [869433/524288, 1738867/1048576]]]], [[6, 7, 6, 1, 5], [v = 0, And(0
< u,u < 1), x = u^2-1, y < -2*u^2, (-u^2-y+1)^(1/2) < z], [regular_chain, [[0,
0], [1/2, 1/2], [-3/4, -3/4], [-2, -2], [3, 3]]]], [[6, 11, 6, 6, 1], [v = 0,
2^(1/2) < u, x = 0, y = u^2-1, z = z], [regular_chain, [[0, 0], [3, 3], [0, 0]
, [8, 8], [0, 0]]]], [[7, 1, 9, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-113/8, -113/8], [-5, -5]
]]], [[7, 1, 9, 2, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^
2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [-3, -3], [35/8, 35/8], [-113/8, -113/8], [-1637089/524288, -3274177/
1048576]]]], [[7, 1, 9, 2, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-113/8, -113/8
], [0, 0]]]], [[7, 1, 9, 2, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [-3, -3], [35/8, 35/8], [-113/8, -113/8], [3274177/1048576, 1637089
/524288]]]], [[7, 1, 9, 2, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-3, -3], [35/8, 35/8], [-113/8, -113/8], [5, 5]]]], [[7, 7, 10, 8,
1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = 0, z = z], [regular_chain
, [[1/2, 1/2], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[7, 9, 7, 9, 1], [And(0 < v
,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), -x < y, z = z
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [2, 2], [0, 0]]]], [[7, 11, 2, 6, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^
2, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-\
2583195/1048576, -1291597/524288], [767309/262144, 3069237/1048576], [0, 0]]]]
, [[7, 12, 4, 7, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(1 < y,y
< 2), z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [3/2, 3/2], [
0, 0]]]], [[8, 5, 3, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x <
-1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2, -2], [-\
3, -3]]]], [[8, 5, 3, 1, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x
< -1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2, -2], [-\
7536399/4194304, -3768199/2097152]]]], [[8, 5, 3, 1, 3], [v = 1, And(-2^(1/2)
< u,u < -1), And(-u^2 < x,x < -1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [-2, -2], [-1/4194304, -1/4194304]]]], [[8
, 5, 3, 1, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y < -u^
2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-2, -2], [1884099/1048576, 
471025/262144]]]], [[8, 5, 3, 1, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^
2 < x,x < -1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2,
-2], [3, 3]]]], [[8, 6, 6, 3, 1], [v = 1, u = -1, x = 1, And(-2 < y,y < -1), z
< -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3/2, -3/2], [-2
, -2]]]], [[8, 6, 6, 3, 2], [v = 1, u = -1, x = 1, And(-2 < y,y < -1), z = -(-
y-1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3/2, -3/2], [-\
1482911/2097152, -741455/1048576]]]], [[8, 6, 6, 3, 3], [v = 1, u = -1, x = 1,
And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[1, 1], [-1, -1], [1, 1], [-3/2, -3/2], [0, 0]]]], [[8, 6, 6, 3, 4], [v = 1,
u = -1, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1, 1],
[-1, -1], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[8, 6, 6, 3
, 5], [v = 1, u = -1, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1, 1], [-1, -1], [1, 1], [-3/2, -3/2], [2, 2]]]], [[8, 11, 4,
5, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), z < -(1-y
)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1
], [239655/1048576, 239655/1048576], [-2, -2]]]], [[8, 11, 4, 5, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [239655/
1048576, 239655/1048576], [-460493/524288, -7367887/8388608]]]], [[8, 11, 4, 5
, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [-7/16777216, -7
/16777216]]]], [[8, 11, 4, 5, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(
0 < y,y < u^2-1), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [920985/1048576,
460493/524288]]]], [[8, 11, 4, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1,
And(0 < y,y < u^2-1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [2, 2]]
]], [[8, 12, 8, 2, 1], [v = 1, u = 2^(1/2), x = 1, y = -3, z < -2^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-\
3, -3]]]], [[8, 12, 8, 2, 2], [v = 1, u = 2^(1/2), x = 1, y = -3, z = -2^(1/2)
], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-3, -3]
, [-1482911/1048576, -741455/524288]]]], [[8, 12, 8, 2, 3], [v = 1, u = 2^(1/2
), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [1, 1], [-3, -3], [0, 0]]]], [[8, 12, 8, 2, 4
], [v = 1, u = 2^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [1, 1], [-3, -3], [741455/524288, 1482911/
1048576]]]], [[8, 12, 8, 2, 5], [v = 1, u = 2^(1/2), x = 1, y = -3, 2^(1/2) <
z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1, 1], [-3, -3
], [3, 3]]]], [[9, 3, 4, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -1, And(1 < y,y < u^2-v^2), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
-1, -1], [2599117/2097152, 2599117/2097152], [0, 0]]]], [[9, 4, 8, 4, 1], [And
(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y = -1, z < 0], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1,
1], [-1, -1], [-1, -1]]]], [[9, 4, 8, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^
2+1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1, 1], [-1, -1], [0, 0]]]], [[9
, 4, 8, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y = -1, 0 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-1, -1], [1, 1]]]], [[9, 12, 1, 6, 1], [And(1 < v,v
< 2^(1/2)), u = v, x < -1, y = -x, z < 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [2, 2], [-1, -\
1]]]], [[9, 12, 1, 6, 2], [And(1 < v,v < 2^(1/2)), u = v, x < -1, y = -x, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [2, 2], [0, 0]]]], [[9, 12, 1, 6, 3], [And(1 < v,v
< 2^(1/2)), u = v, x < -1, y = -x, 0 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [2, 2], [1, 1]
]]], [[9, 13, 9, 5, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [-401729/524288, -401729/524288], [-2, -2]]]], [[9, 13,
9, 5, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-\
401729/524288, -401729/524288], [-1082093/2097152, -270523/524288]]]], [[9, 13
, 9, 5, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x
< 1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [-401729/524288, -401729/524288], [0, 0]]]], [[9, 13, 9,
5, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1)
, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-\
401729/524288, -401729/524288], [270523/524288, 541047/1048576]]]], [[9, 13, 9
, 5, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-\
401729/524288, -401729/524288], [2, 2]]]], [[10, 2, 5, 4, 1], [v = 2^(1/2), u
= -2, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 2
, 5, 4, 2], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [0,
0], [-1482911/2097152, -741455/1048576]]]], [[10, 2, 5, 4, 3], [v = 2^(1/2), u
= -2, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [0,
0], [0, 0]]]], [[10, 2, 5, 4, 4], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y =
0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2
], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[10, 2, 5, 4, 5],
[v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [0,
0], [2, 2]]]], [[10, 3, 9, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(
u^2-3 < x,x < 1), And(u^2-x-3 < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [-135777/1048576, -135777/1048576], [0, 0]]]], [[10, 8, 4, 2
, 1], [v = 2^(1/2), u = -1, x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-1, -1], [-3, -3]]]], [[
10, 8, 4, 2, 2], [v = 2^(1/2), u = -1, x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-1, -1]
, [-1482911/1048576, -741455/524288]]]], [[10, 8, 4, 2, 3], [v = 2^(1/2), u =
-1, x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [-1, -1], [0, 0]]]], [[10, 8, 4,
2, 4], [v = 2^(1/2), u = -1, x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-1, -1], [741455/524288,
1482911/1048576]]]], [[10, 8, 4, 2, 5], [v = 2^(1/2), u = -1, x = -1, y = -1,
2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1
, -1], [-1, -1], [3, 3]]]], [[10, 9, 9, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0)
, And(-u^2+1 < x,x < 1), y = -u^2-x+1, z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-1/8, -1/8], [0, 0]]]], [[10, 
15, 11, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, And(-u^2-x+1 < y,y
< u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-12582911/4194304, -\
12582911/4194304], [-2, -2]]]], [[10, 15, 11, 3, 2], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [-12582911/4194304, -12582911/4194304], [-8388607/8388608, -\
4398045986815/4398046511104]]]], [[10, 15, 11, 3, 3], [v = 2^(1/2), And(v < u,
u < 3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [2, 2], [-12582911/4194304, -12582911/4194304], [-\
3670015/8796093022208, -3670015/8796093022208]]]], [[10, 15, 11, 3, 4], [v = 2
^(1/2), And(v < u,u < 3^(1/2)), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [2, 2], [-12582911/4194304, -12582911/4194304], [1048575/
1048576, 1]]]], [[10, 15, 11, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 <
x, And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-\
12582911/4194304, -12582911/4194304], [2, 2]]]], [[10, 17, 6, 2, 1], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [-650655/262144, -2602619/1048576], [-3, -3]]]], [[10, 17, 6
, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y = -u^2+1, z = -(u^2-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [0, 0], [-650655/262144, -2602619/1048576], [-825991/524288,
-3303963/2097152]]]], [[10, 17, 6, 2, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2)
, x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [-650655/262144, -2602619/1048576], [-1/4194304, -1/4194304]
]]], [[10, 17, 6, 2, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y = -u^2
+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [0, 0], [-650655/262144, -2602619/1048576],
[1651981/1048576, 825991/524288]]]], [[10, 17, 6, 2, 5], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [0, 0], [
-650655/262144, -2602619/1048576], [3, 3]]]], [[10, 18, 8, 3, 1], [v = 2^(1/2)
, u = 2, x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[
10, 18, 8, 3, 2], [v = 2^(1/2), u = 2, x = 1, And(-4 < y,y < -1), z = -(-y-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [-5
/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[10, 18, 8, 3, 3], [v = 2^(
1/2), u = 2, x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [-5/2,
-5/2], [0, 0]]]], [[10, 18, 8, 3, 4], [v = 2^(1/2), u = 2, x = 1, And(-4 < y,y
< -1), z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
2, 2], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [[10, 18, 8,
3, 5], [v = 2^(1/2), u = 2, x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [-5/2, -5/2]
, [3, 3]]]], [[11, 1, 1, 4, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2
-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -\
5], [-18, -18], [1, 1], [-6, -6]]]], [[11, 1, 1, 4, 2], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [1, 1], [-2161695/524288, -\
4323389/1048576]]]], [[11, 1, 1, 4, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [1, 1], [0, 0]]]], [[11, 1,
1, 4, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [1, 1],
[4323389/1048576, 2161695/524288]]]], [[11, 1, 1, 4, 5], [2^(1/2) < v, u < -(v
^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [1, 1], [6, 6]]]], [[11, 7, 3, 5
, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1),
And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [399003/
1048576, 399003/1048576], [-2, -2]]]], [[11, 7, 3, 5, 2], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1
), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [399003/1048576, 399003/1048576],
[-1959643/2097152, -7838571/8388608]]]], [[11, 7, 3, 5, 3], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-
x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [399003/
1048576, 399003/1048576], [-3/16777216, -3/16777216]]]], [[11, 7, 3, 5, 4], [2
^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 <
y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [399003/1048576,
399003/1048576], [979821/1048576, 489911/524288]]]], [[11, 7, 3, 5, 5], [2^(1/
2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y
< -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [-657289/524288, -657289/524288], [399003/1048576, 399003
/1048576], [2, 2]]]], [[11, 8, 6, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x =
0, 0 < y, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [0, 0], [1, 1], [0, 0]]]], [[11, 12, 6, 4, 1], [2^(1/2) < v, u = (v^
2-2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [0, 0], [0, 0], [-1, -1]]]], [[11, 12, 6, 4, 2], [2^(1/2) < v, u
= (v^2-2)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [0, 0], [0, 0], [0, 0]]]], [[11, 12, 6, 4, 3], [2^(1/2)
< v, u = (v^2-2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [0, 0], [0, 0], [1, 1]]]], [[11, 13, 10, 7, 1],
[2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < 0), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[1, 1], [-515539/2097152, -515539/2097152], [0, 0]]]], [[11, 20, 3, 6, 1], [2^
(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [
-1, -1]]]], [[11, 20, 3, 6, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x
< -1), y = -x, z = 0], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-2, -2], [2, 2], [0, 0]]]], [[11, 20, 3, 6, 3], [2^(1/2) < v, u = (v
^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [1, 1]]]], [[11, 21, 7, 7,
1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y < u^2-v^2-x
-1), z = z], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [29/4, 29/4], [0, 0]
]]], [[1, 4, 2, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -2, 2 < y, z = z
], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-2, -2], [3,
3], [0, 0]]]], [[1, 5, 9, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[1,
5, 9, 1, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072
, -403851/131072], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]]
, [[1, 5, 9, 1, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x
< 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [-3, -\
3], [0, 0]]]], [[1, 5, 9, 1, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [-403851/131072, -403851/131072], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[1, 5, 9, 1, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [-3, -3], [3, 3]]]], [
[1, 11, 10, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
= -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3
, -3], [0, 0], [8, 8], [-19, -19], [-5, -5]]]], [[1, 11, 10, 1, 2], [v < -2^(1
/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^
2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [8, 8], [-19,
-19], [-1738867/524288, -3477733/1048576]]]], [[1, 11, 10, 1, 3], [v < -2^(1/2
), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2,
And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3,
-3], [0, 0], [8, 8], [-19, -19], [0, 0]]]], [[1, 11, 10, 1, 4], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z
= (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [8, 8], [-19, -19],
[3477733/1048576, 1738867/524288]]]], [[1, 11, 10, 1, 5], [v < -2^(1/2), And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^
2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [8, 8], [-19, -19], [5,
5]]]], [[1, 13, 3, 8, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3
, -3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [
1186209/524288, 2372419/1048576], [0, 0]]]], [[1, 17, 8, 2, 1], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-195745/
131072, -1565959/1048576], [-3, -3]]]], [[1, 17, 8, 2, 2], [v < -2^(1/2), And(
-v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-195745/
131072, -1565959/1048576], [-1281417/1048576, -160177/131072]]]], [[1, 17, 8,
2, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [0, 0], [-195745/131072, -1565959/1048576], [0
, 0]]]], [[1, 17, 8, 2, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [0, 0], [-195745/131072, -1565959/1048576], [160177/
131072, 1281417/1048576]]]], [[1, 17, 8, 2, 5], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [0, 0], [-195745/131072, -1565959/
1048576], [3, 3]]]], [[1, 19, 3, 7, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z =
z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [522727/262144, 522727/262144], [0, 0]]]], [[2, 3, 8,
4, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y = -u^2+3, z < 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [505467/1048576, 126367/262144], [-126367/262144, -505467/
1048576], [-1, -1]]]], [[2, 3, 8, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144
], [-126367/262144, -505467/1048576], [0, 0]]]], [[2, 3, 8, 4, 3], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/1048576, 126367/262144], [-126367/262144, -505467/1048576], [1, 1]]]],
[[2, 5, 3, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -\
1), -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [3,
3], [0, 0]]]], [[2, 6, 7, 1, 1], [v = -2^(1/2), u = v, 1 < x, y < -1-x, z < -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [2, 2], [-4, -4], [-3, -3]]]], [[2, 6, 7, 1, 2], [v
= -2^(1/2), u = v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2],
[-4, -4], [-1482911/1048576, -741455/524288]]]], [[2, 6, 7, 1, 3], [v = -2^(1/
2), u = v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [-4, -4], [0, 0]]]], [[2, 6, 7, 1, 4], [v = -2^(1/2), u = v,
1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [741455/
524288, 1482911/1048576]]]], [[2, 6, 7, 1, 5], [v = -2^(1/2), u = v, 1 < x, y
< -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [3, 3]]]], [[2, 8, 3,
3, 1], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-\
3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[2, 8, 3, 3, 2], [v = -2^(1/2), u = -1
, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [-1/4, -1/4], [-\
10837/8192, -1387135/1048576]]]], [[2, 8, 3, 3, 3], [v = -2^(1/2), u = -1, And
(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2],
[-1/4, -1/4], [0, 0]]]], [[2, 8, 3, 3, 4], [v = -2^(1/2), u = -1, And(-2 < x,x
< -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [-1/4, -1/4], [1387135/
1048576, 10837/8192]]]], [[2, 8, 3, 3, 5], [v = -2^(1/2), u = -1, And(-2 < x,x
< -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[2
, 14, 2, 5, 1], [v = -2^(1/2), u = -v, x = -1, 1 < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1
], [2, 2], [0, 0]]]], [[2, 15, 10, 6, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x = 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3299097/2097152, 3299097/2097152], [1, 1], [-1, -1], [-1, -1]]]], [[2, 15,
10, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1, 1], [-1, -1], [0, 0]]]], [[2, 15, 10, 6, 3], [v = -2^(1/2), And(
-v < u,u < 3^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-1, -1], [1, 1
]]]], [[2, 19, 11, 4, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-7, -7],
[-1, -1]]]], [[2, 19, 11, 4, 2], [v = -2^(1/2), 2 < u, u^2-3 < x, y = -x, z =
0], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-7,
-7], [0, 0]]]], [[2, 19, 11, 4, 3], [v = -2^(1/2), 2 < u, u^2-3 < x, y = -x, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-7
, -7], [1, 1]]]], [[3, 2, 2, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1
/2), x = -3, 4 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [5, 5], [0, 0]]]], [
[3, 8, 5, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x <
0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3, -3], [-3, -3
]]]], [[3, 8, 5, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1
< x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3, -3],
[-7846825/4194304, -980853/524288]]]], [[3, 8, 5, 1, 3], [And(-2^(1/2) < v,v <
-1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[3, 8, 5
, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y <
-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-1417877/2097152, -354469/524288], [-1/2, -1/2], [-3, -3], [980853/524288,
1961707/1048576]]]], [[3, 8, 5, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2,
-1/2], [-3, -3], [3, 3]]]], [[3, 9, 10, 7, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < 0), z = z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-\
569265/2097152, -569265/2097152], [0, 0]]]], [[3, 17, 3, 2, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [3, 3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595
/4194304], [-4, -4]]]], [[3, 17, 3, 2, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^
(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [-1532401/
524288, -24518415/8388608]]]], [[3, 17, 3, 2, 3], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-3954649/
1048576, -15818595/4194304], [-7/16777216, -7/16777216]]]], [[3, 17, 3, 2, 4],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-3954649/
1048576, -15818595/4194304], [3064801/1048576, 1532401/524288]]]], [[3, 17, 3,
2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1
), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-\
3954649/1048576, -15818595/4194304], [4, 4]]]], [[4, 1, 5, 5, 1], [v = -1, u <
-3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[4
, 1, 5, 5, 2], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [1/4, 1/4
], [-1/2, -1/2]]]], [[4, 1, 5, 5, 3], [v = -1, u < -3^(1/2), And(-1 < x,x < 0)
, And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1, -1], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[4, 1, 5, 5, 4], [v
= -1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [
[4, 1, 5, 5, 5], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [1/4, 1/
4], [2, 2]]]], [[4, 7, 7, 2, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x <
0), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [-1/8, -1/8], [-13/8, -13/8], [-3, -3]]]], [[4, 7, 7, 2, 2], [v = -1, And(-1
< u,u < 0), And(-u^2 < x,x < 0), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-13/8, -13/8], [-10837/
8192, -1387135/1048576]]]], [[4, 7, 7, 2, 3], [v = -1, And(-1 < u,u < 0), And(
-u^2 < x,x < 0), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-13/8, -13/8], [0, 0]]]
], [[4, 7, 7, 2, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = u^2-
x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8
], [-13/8, -13/8], [1387135/1048576, 10837/8192]]]], [[4, 7, 7, 2, 5], [v = -1
, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-13/8, -13/8], [3, 3]]]
], [[4, 9, 2, 5, 1], [v = -1, And(0 < u,u < 1), x = u^2-2, And(-2*u^2+2 < y,y
< -u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/
4, -7/4], [13/8, 13/8], [-2, -2]]]], [[4, 9, 2, 5, 2], [v = -1, And(0 < u,u <
1), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [13/8, 13/8], [-46341/
131072, -370727/1048576]]]], [[4, 9, 2, 5, 3], [v = -1, And(0 < u,u < 1), x =
u^2-2, And(-2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^
(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [13/8, 13/8], [0
, 0]]]], [[4, 9, 2, 5, 4], [v = -1, And(0 < u,u < 1), x = u^2-2, And(-2*u^2+2
< y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2],
[-7/4, -7/4], [13/8, 13/8], [370727/1048576, 46341/131072]]]], [[4, 9, 2, 5, 5
], [v = -1, And(0 < u,u < 1), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), (-u^2-y
+2)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [13/8, 13
/8], [2, 2]]]], [[4, 13, 6, 6, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x =
0, y = u^2-2, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [0, 0], [497805/1048576, 248903/524288], [0, 0]]]], [[4, 14, 9, 4, 1
], [v = -1, u = 3^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[4, 14, 9, 4,
2], [v = -1, u = 3^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [2, 2], [-2, -2], [0, 0]]]], [[4, 14, 9, 4, 3
], [v = -1, u = 3^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [2, 2], [-2, -2], [1, 1]]]], [[5, 5, 7, 3, 1]
, [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-736367/1048576, -736367/1048576], [-3, -3]]]], [[5, 5, 7, 3, 2], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-736367/1048576, -736367/1048576], [-1048577/1048576, -1]]]], [[5,
5, 7, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [-736367/1048576, -736367/
1048576], [0, 0]]]], [[5, 5, 7, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [-736367/1048576, -736367/
1048576], [1, 1048577/1048576]]]], [[5, 5, 7, 3, 5], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u
^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-736367/
1048576, -736367/1048576], [3, 3]]]], [[5, 7, 4, 4, 1], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = -1, y = 0, z < -1], [regular_chain, [[-1/2, -1/2], [0,
0], [-1, -1], [0, 0], [-2, -2]]]], [[5, 7, 4, 4, 2], [And(-1 < v,v < 0), And(v
< u,u < -v), x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
1, -1], [0, 0], [-1, -1]]]], [[5, 7, 4, 4, 3], [And(-1 < v,v < 0), And(v < u,u
< -v), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [0, 0
], [-1, -1], [0, 0], [0, 0]]]], [[5, 7, 4, 4, 4], [And(-1 < v,v < 0), And(v <
u,u < -v), x = -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [0, 0], [-1,
-1], [0, 0], [1, 1]]]], [[5, 7, 4, 4, 5], [And(-1 < v,v < 0), And(v < u,u < -v
), x = -1, y = 0, 1 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [0,
0], [2, 2]]]], [[5, 8, 7, 3, 1], [And(-1 < v,v < 0), u = -v, 1 < x, And(-1-x <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2,
2], [-5/2, -5/2], [-2, -2]]]], [[5, 8, 7, 3, 2], [And(-1 < v,v < 0), u = -v, 1
< x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1/2, 1/2], [2, 2], [-5/2, -5/2], [-1482911/2097152, -741455/1048576]]]], [[5,
8, 7, 3, 3], [And(-1 < v,v < 0), u = -v, 1 < x, And(-1-x < y,y < -x), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [
2, 2], [-5/2, -5/2], [0, 0]]]], [[5, 8, 7, 3, 4], [And(-1 < v,v < 0), u = -v,
1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1/2, 1/2], [2, 2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[5, 8, 7,
3, 5], [And(-1 < v,v < 0), u = -v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-5/2, -5/2], [2, 2]]]]
, [[5, 10, 3, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1)
, And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[5, 
10, 3, 5, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373
/4194304]]]], [[5, 10, 3, 5, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2
< x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[3/4, 3/4], [-1/8388608, -1/8388608]]]], [[5, 10, 3, 5, 4], [And(-1 < v,v < 0)
, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[3/4, 3/4], [908093/1048576, 454047/524288]]]], [[5, 10, 3, 5, 5], [And(-1 < v
,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2
, -3/2], [3/4, 3/4], [2, 2]]]], [[6, 2, 9, 9, 1], [v = 0, u = -2^(1/2), 1 < x,
0 < y, z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2
, 2], [1, 1], [0, 0]]]], [[6, 4, 4, 2, 1], [v = 0, u = -1, x = -1, y = -1, z <
-2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1], [-3, -3]]]],
[[6, 4, 4, 2, 2], [v = 0, u = -1, x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[6, 4, 4, 2, 3], [v = 0, u = -1, x = -1, y = -1, And(-2^(1
/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1],
[0, 0]]]], [[6, 4, 4, 2, 4], [v = 0, u = -1, x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[6, 4, 4, 2, 5], [v = 0, u = -1, x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-1, -1], [-1, -1], [3, 3]]]], [[6, 8, 9, 4,
1], [v = 0, u = 1, 1 < x, y = -x, z < 0], [regular_chain, [[0, 0], [1, 1], [2,
2], [-2, -2], [-1, -1]]]], [[6, 8, 9, 4, 2], [v = 0, u = 1, 1 < x, y = -x, z =
0], [regular_chain, [[0, 0], [1, 1], [2, 2], [-2, -2], [0, 0]]]], [[6, 8, 9, 4
, 3], [v = 0, u = 1, 1 < x, y = -x, 0 < z], [regular_chain, [[0, 0], [1, 1], [
2, 2], [-2, -2], [1, 1]]]], [[6, 10, 3, 2, 1], [v = 0, u = 2^(1/2), And(-3 < x
,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[6, 10, 3, 2, 2], [v = 0,
u = 2^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[0,
0], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 10, 3, 2, 3], [v = 0, u = 2^(1/2), And(-3 < x,x < -1
), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[6
, 10, 3, 2, 4], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)
], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [-1, -\
1], [908093/524288, 1816187/1048576]]]], [[6, 10, 3, 2, 5], [v = 0, u = 2^(1/2
), And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[7, 5, 1, 1,
1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[7, 5, 1, 1, 2], [And(0 < v,v < 1)
, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-\
1, -1], [-2, -2]]]], [[7, 5, 1, 1, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-\
1, -1], [0, 0]]]], [[7, 5, 1, 1, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u
,u < -v), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [-1696631/2097152, -1696631/2097152], [-3, -3], [-1, -1], [2, 2]]]], [[7, 5
, 1, 1, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1,
y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[7, 6, 4, 3, 1], [And(0 < v,
v < 1), u = -v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[7, 6, 4, 3, 2],
[And(0 < v,v < 1), u = -v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-1/2, -1/2], [-1482911/
2097152, -741455/1048576]]]], [[7, 6, 4, 3, 3], [And(0 < v,v < 1), u = -v, x =
0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [0, 0], [-1/2, -1/2], [0, 0]]]], [[7, 6, 4, 3, 4], [
And(0 < v,v < 1), u = -v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [0, 0], [-1/2, -1/2], [741455/
1048576, 46341/65536]]]], [[7, 6, 4, 3, 5], [And(0 < v,v < 1), u = -v, x = 0,
And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[0, 0], [-1/2, -1/2], [2, 2]]]], [[7, 13, 8, 8, 1], [And(0 < v,v < 1), (v^2+2)
^(1/2) < u, x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[1/2, 1/2], [3, 3],
[1, 1], [27/4, 27/4], [0, 0]]]], [[8, 1, 10, 7, 1], [v = 1, u < -3^(1/2), x =
u^2-2, 0 < y, z = z], [regular_chain, [[1, 1], [-3, -3], [7, 7], [1, 1], [0, 0
]]]], [[8, 8, 1, 6, 1], [v = 1, u = 0, x < -2, y = -x, z < 0], [regular_chain,
[[1, 1], [0, 0], [-3, -3], [3, 3], [-1, -1]]]], [[8, 8, 1, 6, 2], [v = 1, u =
0, x < -2, y = -x, z = 0], [regular_chain, [[1, 1], [0, 0], [-3, -3], [3, 3],
[0, 0]]]], [[8, 8, 1, 6, 3], [v = 1, u = 0, x < -2, y = -x, 0 < z], [
regular_chain, [[1, 1], [0, 0], [-3, -3], [3, 3], [1, 1]]]], [[8, 9, 7, 7, 1],
[v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [1/16, 1/16], [-2,
-2]]]], [[8, 9, 7, 7, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -\
1/8], [1/16, 1/16], [-1/4, -1/4]]]], [[8, 9, 7, 7, 3], [v = 1, And(0 < u,u < 1
), And(-u^2 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [1/16, 1/16], [0, 0]
]]], [[8, 9, 7, 7, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8
], [1/16, 1/16], [1/4, 1/4]]]], [[8, 9, 7, 7, 5], [v = 1, And(0 < u,u < 1), 
And(-u^2 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1
, 1], [1/2, 1/2], [-1/8, -1/8], [1/16, 1/16], [2, 2]]]], [[8, 14, 1, 5, 1], [v
= 1, u = 3^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [5/2, 5/2]
, [-3, -3]]]], [[8, 14, 1, 5, 2], [v = 1, u = 3^(1/2), x < -3, And(-x-3 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-4, -4], [5/2, 5/2], [-1284239/1048576, -642119/524288]]]], [[8, 14
, 1, 5, 3], [v = 1, u = 3^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-4, -4], [5/2, 5/2], [0, 0]]]], [[8, 14, 1, 5, 4], [v = 1, u = 3^(1
/2), x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [-4, -4], [5/2, 5/2], [642119/524288, 
1284239/1048576]]]], [[8, 14, 1, 5, 5], [v = 1, u = 3^(1/2), x < -3, And(-x-3
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-4, -4], [5/2, 5/2], [3, 3]]]], [[8, 15, 5, 6, 1], [v = 1,
3^(1/2) < u, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1, 1], [3, 3
], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 15, 5, 6, 2], [v = 1, 3^(1/2) <
u, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1, 1], [3, 3], [-1/2,
-1/2], [1/2, 1/2], [0, 0]]]], [[8, 15, 5, 6, 3], [v = 1, 3^(1/2) < u, And(-1 <
x,x < 0), y = -x, 0 < z], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [1/2,
1/2], [1, 1]]]], [[9, 6, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, -x
< y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [3, 3], [0, 0]]]], [[9, 7, 9, 6, 1], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y =
-x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 7, 9,
6, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x <
1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9,
7, 9, 6, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9
, 9, 4, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x = -1, y = 1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [-1, -1], [1, 1], [-1, -1]]]], [[9, 9, 4, 6, 2], [And(1 < v,v < 2^(
1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [1, 1],
[0, 0]]]], [[9, 9, 4, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u
< (v^2-1)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[9, 10, 8, 3, 1], [And
(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288,
708939/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[9, 10, 8, 3, 2], [And(1 < v,
v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-2, -2], [-1, -1]]]], [[9, 10, 8, 3, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [-2, -2], [0, 0]]]], [[9, 10, 8, 3, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [1, 1], [-2, -2], [1, 1]]]], [[9, 10, 8, 3, 5], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-2, -2], [2, 2]]]], [[9, 17, 1, 4, 1], [And(1 < v,v < 2^(1/
2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10],
[763943/524288, 1527887/1048576], [-4, -4]]]], [[9, 17, 1, 4, 2], [And(1 < v,v
< 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10,
-10], [763943/524288, 1527887/1048576], [-1532401/524288, -24518415/8388608]]]
], [[9, 17, 1, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2
-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [
763943/524288, 1527887/1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 1, 4,
4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x
-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [-10, -10], [763943/524288, 1527887/1048576], [3064801/1048576, 
1532401/524288]]]], [[9, 17, 1, 4, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [763943/524288, 
1527887/1048576], [4, 4]]]], [[10, 1, 3, 5, 1], [v = 2^(1/2), u < -2, And(-u^2
+1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [9/4, 9/4], [-3, -3]]
]], [[10, 1, 3, 5, 2], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-9/2, -9/2], [9/4, 9/4], [-3/2, -3/2]]]], [[10, 1, 3, 5, 3], [v
= 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
-3, -3], [-9/2, -9/2], [9/4, 9/4], [0, 0]]]], [[10, 1, 3, 5, 4], [v = 2^(1/2),
u < -2, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [9/4
, 9/4], [3/2, 3/2]]]], [[10, 1, 3, 5, 5], [v = 2^(1/2), u < -2, And(-u^2+1 < x
,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [9/4, 9/4], [3, 3]]]], [[10,
5, 4, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(u^2-2 < y,y <
1), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [1546383/2097152, 1546383/
2097152], [-2, -2]]]], [[10, 5, 4, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), x = -1, And(u^2-2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [
1546383/2097152, 1546383/2097152], [-1074731/2097152, -537365/1048576]]]], [[
10, 5, 4, 7, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(u^2-2 < y
,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [
1546383/2097152, 1546383/2097152], [0, 0]]]], [[10, 5, 4, 7, 4], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), x = -1, And(u^2-2 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [1546383/2097152, 1546383/2097152], [537365/1048576, 
268683/524288]]]], [[10, 5, 4, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
x = -1, And(u^2-2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [
1546383/2097152, 1546383/2097152], [2, 2]]]], [[10, 7, 1, 4, 1], [v = 2^(1/2),
And(-v < u,u < -1), x < u^2-3, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [763943/524288, 1527887/1048576], [-3, -3]]]], [[10, 7, 1,
4, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y = u^2-x-3, z = -(-u^2+3)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-3, -3], [763943/524288, 1527887/1048576], [-1302471/
1048576, -651235/524288]]]], [[10, 7, 1, 4, 3], [v = 2^(1/2), And(-v < u,u < -\
1), x < u^2-3, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [763943/524288, 1527887/1048576], [0, 0]]]], [[10, 7, 1, 4
, 4], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y = u^2-x-3, z = (-u^2+3)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [763943/524288, 1527887/1048576], [651235/524288,
1302471/1048576]]]], [[10, 7, 1, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), x <
u^2-3, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/
524288, 1527887/1048576], [3, 3]]]], [[10, 13, 1, 5, 1], [v = 2^(1/2), And(1 <
u,u < v), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [2, 2], [-2, -2]]]], [[10, 13, 1, 5, 2], [v = 2^(1/2), And
(1 < u,u < v), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [2, 2], [-1, -1]]]], [[10, 13, 1, 5, 3], [v = 2^(1/2), And
(1 < u,u < v), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [0, 0]]]], [[10, 13, 1, 5
, 4], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1)
, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [1, 1]]]], [[10, 13, 1, 5
, 5], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1)
, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [2, 2]]]], [[10, 14, 4, 3
, 1], [v = 2^(1/2), u = v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[10, 14, 4, 3, 2], [v = 2^(1/2),
u = v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/
2], [-1482911/2097152, -741455/1048576]]]], [[10, 14, 4, 3, 3], [v = 2^(1/2),
u = v, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[10, 14, 4, 3, 4], [v = 2^(1/2), u
= v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/
2], [741455/1048576, 46341/65536]]]], [[10, 14, 4, 3, 5], [v = 2^(1/2), u = v,
x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [2,
2]]]], [[11, 2, 3, 5, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1)
, And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[11, 2, 3, 5, 2], [
2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-\
2, -2], [1, 1], [-1, -1]]]], [[11, 2, 3, 5, 3], [2^(1/2) < v, u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2],
[1, 1], [0, 0]]]], [[11, 2, 3, 5, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3
< x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-2, -2], [1, 1], [1, 1]]]], [[11, 2, 3, 5,
5], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576]
, [-2, -2], [1, 1], [2, 2]]]], [[11, 3, 7, 6, 1], [2^(1/2) < v, And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = 0, z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [0, 0], [0, 0]]]], [[11, 9, 11, 5, 1], [2^(1/2) < v, And(-(v^2
-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(-x < y,y < -u^2+v^2-x-1), z = z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [-\
3661269/2097152, -3661269/2097152], [0, 0]]]], [[11, 11, 4, 6, 1], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = 1, z < 0], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [1, 1], [-1, -1]]]], [[11, 11, 4, 6,
2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = 1, z
= 0], [regular_chain, [[3, 3], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[11, 11,
4, 6, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y =
1, 0 < z], [regular_chain, [[3, 3], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[11,
15, 5, 6, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+
v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [133001/
524288, 266003/1048576], [-2, -2]]]], [[11, 15, 5, 6, 2], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-391287/524288, -391287/524288], [133001/524288, 266003/1048576], [-735979/
1048576, -1471957/2097152]]]], [[11, 15, 5, 6, 3], [2^(1/2) < v, And((v^2-1)^(
1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [-391287/524288, -391287/524288], [133001/524288, 266003/
1048576], [-1/4194304, -1/4194304]]]], [[11, 15, 5, 6, 4], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-391287/524288, -391287/524288], [133001/524288, 266003/1048576], [367989/
524288, 735979/1048576]]]], [[11, 15, 5, 6, 5], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [133001/524288, 266003/1048576], [2, 2]]]], [[11, 17,
2, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 <
y,y < 2*u^2-2*v^2), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [517383/
1048576, 517383/1048576], [-3, -3]]]], [[11, 17, 2, 3, 2], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^2-
v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
195745/131072, -1565959/1048576], [517383/1048576, 517383/1048576], [-1048577/
1048576, -1]]]], [[11, 17, 2, 3, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)
), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z
< (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [517383/1048576, 517383/1048576],
[0, 0]]]], [[11, 17, 2, 3, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [517383/1048576, 517383/1048576], [1, 1048577/1048576]]]], [
[11, 17, 2, 3, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1,
And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [517383/
1048576, 517383/1048576], [3, 3]]]], [[1, 4, 3, 5, 1], [v < -2^(1/2), u = -(v^
2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/
4, 3/4], [-2, -2]]]], [[1, 4, 3, 5, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And
(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/4, 3/4], [-1816187/
2097152, -3632373/4194304]]]], [[1, 4, 3, 5, 3], [v < -2^(1/2), u = -(v^2+1)^(
1/2), And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2,
-3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[1, 4, 3, 5, 4], [v < -2^(1/2
), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2],
[3/4, 3/4], [908093/1048576, 454047/524288]]]], [[1, 4, 3, 5, 5], [v < -2^(1/2
), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2],
[3/4, 3/4], [2, 2]]]], [[1, 5, 9, 2, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u
,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
267551651/134217728, -133775825/67108864], [-3, -3]]]], [[1, 5, 9, 2, 2], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [1/2, 1/2], [-267551651/134217728, -133775825/67108864], [-1281417/
1048576, -160177/131072]]]], [[1, 5, 9, 2, 3], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [1/2, 1/2], [-267551651/134217728, -133775825/67108864], [0, 0]]]], [
[1, 5, 9, 2, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1
), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [1/2, 1/2], [-267551651/134217728, -133775825/
67108864], [160177/131072, 1281417/1048576]]]], [[1, 5, 9, 2, 5], [v < -2^(1/2
), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
1/2, 1/2], [-267551651/134217728, -133775825/67108864], [3, 3]]]], [[1, 11, 11
, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1
< x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [
9, 9], [-20, -20], [-5, -5]]]], [[1, 11, 11, 1, 2], [v < -2^(1/2), And(-(v^2-2
)^(1/2) < u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-20, -20], [-1738867/524288
, -3477733/1048576]]]], [[1, 11, 11, 1, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), -u^2+v^2-1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [9, 9], [-20, -20], [0
, 0]]]], [[1, 11, 11, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)
^(1/2)), -u^2+v^2-1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [
[-3, -3], [0, 0], [9, 9], [-20, -20], [3477733/1048576, 1738867/524288]]]], [[
1, 11, 11, 1, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), -u
^2+v^2-1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
0, 0], [9, 9], [-20, -20], [5, 5]]]], [[1, 13, 4, 2, 1], [v < -2^(1/2), And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [-\
3163225/2097152, -395403/262144], [-3, -3]]]], [[1, 13, 4, 2, 2], [v < -2^(1/2
), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1
, -1], [-3163225/2097152, -395403/262144], [-3321417/2097152, -415177/262144]]
]], [[1, 13, 4, 2, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2))
, x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [-\
3163225/2097152, -395403/262144], [0, 0]]]], [[1, 13, 4, 2, 4], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1
], [-3163225/2097152, -395403/262144], [415177/262144, 1660709/1048576]]]], [[
1, 13, 4, 2, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-1, -1], [-3163225/2097152, -395403/262144], [3, 3]]
]], [[1, 17, 8, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0, 0
< y, z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [0, 0]
, [1, 1], [0, 0]]]], [[1, 19, 3, 8, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [1174965/524288, 2349931/1048576], [0, 0]]]], [[2, 3, 9, 4, 1
], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = -x, z <
0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-388511/524288, -388511/
524288], [-1, -1]]]], [[2, 3, 9, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)
), And(u^2-3 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [388511/524288, 388511/
524288], [-388511/524288, -388511/524288], [0, 0]]]], [[2, 3, 9, 4, 3], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-388511/524288, -388511/
524288], [1, 1]]]], [[2, 5, 4, 3, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-\
248903/1048576, -248903/1048576], [-3, -3]]]], [[2, 5, 4, 3, 2], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = -1, And(-u^2+2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-248903/1048576, -248903/1048576], [-145801/
131072, -1166407/1048576]]]], [[2, 5, 4, 3, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-248903/1048576, -248903/1048576], [0, 0]]]], [[2
, 5, 4, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(-u^2+2 < y,
y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-1, -1], [-248903/1048576, -248903/
1048576], [1166407/1048576, 145801/131072]]]], [[2, 5, 4, 3, 5], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = -1, And(-u^2+2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-248903/1048576, -248903/1048576], [3, 3]]]], [[2
, 6, 6, 5, 1], [v = -2^(1/2), u = v, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 8, 2, 1, 1], [v = -2^(1/2), u
= -1, x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-2, -2], [-1, -1], [-3, -3]]]], [[2, 8, 2, 1, 2], [
v = -2^(1/2), u = -1, x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[2, 8, 2, 1, 3], [v = -2^(1/2), u = -1, x = -2
, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[2, 8, 2, 1, 4], [v = -2^(1/2), u = -1, x = -2, y < 0, z = (2-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -\
2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[2, 8, 2, 1, 5], [v = -2^(
1/2), u = -1, x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-2, -2], [-1, -1], [3, 3]]]], [[2, 14, 2,
4, 1], [v = -2^(1/2), u = -v, x = -1, y = 1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1],
[1, 1], [-1, -1]]]], [[2, 14, 2, 4, 2], [v = -2^(1/2), u = -v, x = -1, y = 1,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [-1, -1], [1, 1], [0, 0]]]], [[2, 14, 2, 4, 3], [v = -2^(1/2
), u = -v, x = -1, y = 1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-1, -1], [1, 1], [1, 1]]]], [[2, 
15, 10, 1, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y < -u^2, z < -(
-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1, 1], [-4, -4], [-3, -3]]]], [[2, 15, 10, 1, 2],
[v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y < -u^2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 15,
10, 1, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y < -u^2, And(-(-y-1
)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1, 1], [-4, -4], [-1/4194304, -1
/4194304]]]], [[2, 15, 10, 1, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x =
1, y < -u^2, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1, 1], [-4, -4], [908093/524288,
1816187/1048576]]]], [[2, 15, 10, 1, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), x = 1, y < -u^2, (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-4, -4], [3, 3]]]
], [[2, 19, 11, 1, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, y < -u^2-x+1, z < -(-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7
], [-16, -16], [-4, -4]]]], [[2, 19, 11, 1, 2], [v = -2^(1/2), 2 < u, u^2-3 <
x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [7, 7], [-16, -16], [-3, -3]]]], [[2, 19, 11, 1, 3], [
v = -2^(1/2), 2 < u, u^2-3 < x, y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7],
[-16, -16], [0, 0]]]], [[2, 19, 11, 1, 4], [v = -2^(1/2), 2 < u, u^2-3 < x, y
< -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7, 7], [-16, -16], [3, 3]]]], [[2, 19, 11, 1, 5], [v = -2^(1
/2), 2 < u, u^2-3 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3, 3], [7, 7], [-16, -16], [4, 4]]]], [[3,
2, 1, 9, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x < -3, 1-x < y, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-4, -4], [6, 6], [0, 0]]]], [[3, 8, 4, 7, 1], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1,
-1], [2, 2], [0, 0]]]], [[3, 9, 10, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-\
3625039/1048576, -1812519/524288], [-3, -3]]]], [[3, 9, 10, 2, 2], [And(-2^(1/
2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-\
2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-3625039/1048576, -1812519/524288], [-410915/262144
, -3287319/2097152]]]], [[3, 9, 10, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/
2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-3625039/1048576, -1812519/524288], [-1/4194304, -1
/4194304]]]], [[3, 9, 10, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-\
3625039/1048576, -1812519/524288], [1643659/1048576, 410915/262144]]]], [[3, 9
, 10, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [0, 0], [1, 1], [-3625039/1048576, -1812519/
524288], [3, 3]]]], [[3, 17, 3, 9, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2
) < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [13, 13], [0, 0]]]], [[4, 1, 5, 8, 1], [v = -1, u < -3^(1/2), And(-1
< x,x < 0), y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -\
1/2], [15/2, 15/2], [0, 0]]]], [[4, 7, 7, 7, 1], [v = -1, And(-1 < u,u < 0), 
And(-u^2 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
-1, -1], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/16], [-2, -2]]]], [[4, 7, 7, 7,
2], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(0 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/
16], [-1/4, -1/4]]]], [[4, 7, 7, 7, 3], [v = -1, And(-1 < u,u < 0), And(-u^2 <
x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/16], [0, 0]]]],
[[4, 7, 7, 7, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8
], [1/16, 1/16], [1/4, 1/4]]]], [[4, 7, 7, 7, 5], [v = -1, And(-1 < u,u < 0),
And(-u^2 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/16], [2, 2]]]], [[4, 9, 2, 6, 1],
[v = -1, And(0 < u,u < 1), x = u^2-2, y = -u^2+2, z < 0], [regular_chain, [[-1
, -1], [1/2, 1/2], [-7/4, -7/4], [7/4, 7/4], [-1, -1]]]], [[4, 9, 2, 6, 2], [v
= -1, And(0 < u,u < 1), x = u^2-2, y = -u^2+2, z = 0], [regular_chain, [[-1, -\
1], [1/2, 1/2], [-7/4, -7/4], [7/4, 7/4], [0, 0]]]], [[4, 9, 2, 6, 3], [v = -1
, And(0 < u,u < 1), x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[-1, -1],
[1/2, 1/2], [-7/4, -7/4], [7/4, 7/4], [1, 1]]]], [[4, 13, 7, 6, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y = 0, z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [0, 0], [0, 0]]]], [[4, 14, 9, 7, 1], [v = -1, u = 3^(1/2), 1
< x, And(1-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [2, 2], [-1/2, -1/2], [0, 0]]]], [[5, 5, 7, 8, 1], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -x, z <
0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288], [-1, -1]]
]], [[5, 5, 7, 8, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u
^2-v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/
1048576, 156105/524288], [0, 0]]]], [[5, 5, 7, 8, 3], [And(-1 < v,v < 0), And(
-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [312209/1048576, 156105/524288], [1, 1]]]], [[5, 7
, 4, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(0 < y,y < -u^2+
v^2), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/8
, 1/8], [-2, -2]]]], [[5, 7, 4, 5, 2], [And(-1 < v,v < 0), And(v < u,u < -v),
x = -1, And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [0, 0], [-1, -1], [1/8, 1/8], [-7846825/8388608, -980853/1048576]]]], [[5
, 7, 4, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(0 < y,y < -u
^2+v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2]
, [0, 0], [-1, -1], [1/8, 1/8], [0, 0]]]], [[5, 7, 4, 5, 4], [And(-1 < v,v < 0
), And(v < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), z = (1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/8, 1/8], [980853/1048576, 
490427/524288]]]], [[5, 7, 4, 5, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x
= -1, And(0 < y,y < -u^2+v^2), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [0, 0], [-1, -1], [1/8, 1/8], [2, 2]]]], [[5, 8, 7, 2, 1], [And(-1 < v,v < 0
), u = -v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2]
, [2, 2], [-3, -3], [-2, -2]]]], [[5, 8, 7, 2, 2], [And(-1 < v,v < 0), u = -v,
1 < x, y = -1-x, z = -1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [
-3, -3], [-1, -1]]]], [[5, 8, 7, 2, 3], [And(-1 < v,v < 0), u = -v, 1 < x, y =
-1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [
-3, -3], [0, 0]]]], [[5, 8, 7, 2, 4], [And(-1 < v,v < 0), u = -v, 1 < x, y = -\
1-x, z = 1], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-3, -3], [1,
1]]]], [[5, 8, 7, 2, 5], [And(-1 < v,v < 0), u = -v, 1 < x, y = -1-x, 1 < z],
[regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-3, -3], [2, 2]]]], [[5, 
10, 2, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, 2 < y, z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [3,
3], [0, 0]]]], [[6, 2, 9, 6, 1], [v = 0, u = -2^(1/2), 1 < x, y = 1-x, z = z],
[regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [-1, -1],
[0, 0]]]], [[6, 4, 3, 2, 1], [v = 0, u = -1, And(-2 < x,x < -1), y = -x-2, z <
-2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [-3,
-3]]]], [[6, 4, 3, 2, 2], [v = 0, u = -1, And(-2 < x,x < -1), y = -x-2, z = -2
^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [-\
1482911/1048576, -741455/524288]]]], [[6, 4, 3, 2, 3], [v = 0, u = -1, And(-2
< x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0]
, [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[6, 4, 3, 2, 4], [v = 0, u
= -1, And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[0, 0], [-1
, -1], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[6, 4
, 3, 2, 5], [v = 0, u = -1, And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[6,
8, 9, 3, 1], [v = 0, u = 1, 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [2, 2], [-3, -3], [-2, -2]]]], [[6, 8, 9, 3, 2
], [v = 0, u = 1, 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [2, 2], [-3, -3], [-1, -1]]]], [[6, 8, 9, 3, 3
], [v = 0, u = 1, 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[0, 0], [1, 1], [2, 2], [-3, -3], [0, 0]]]], [[6,
8, 9, 3, 4], [v = 0, u = 1, 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1, 1], [2, 2], [-3, -3], [1, 1]]]], [[6, 8, 9, 3, 5],
[v = 0, u = 1, 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [1, 1], [2, 2], [-3, -3], [2, 2]]]], [[6, 10, 2, 4, 1], [v = 0, u = 2
^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[6, 10, 2, 4, 2], [v = 0, u
= 2^(1/2), x = -3, y = 3, z = 0], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-3, -3], [3, 3], [0, 0]]]], [[6, 10, 2, 4, 3], [v = 0, u =
2^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-3, -3], [3, 3], [1, 1]]]], [[7, 4, 9, 5, 1], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[
1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-1, -1], [0, 0]]]], [[
7, 6, 3, 3, 1], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And(-1-x < y,y <
0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2
], [-1/4, -1/4], [-2, -2]]]], [[7, 6, 3, 3, 2], [And(0 < v,v < 1), u = -v, And
(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/
4194304]]]], [[7, 6, 3, 3, 3], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), 
And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608
]]]], [[7, 6, 3, 3, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And(-1-x
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/
2, -1/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]]], [[7, 6, 3, 3, 5],
[And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/4, -1/4],
[2, 2]]]], [[7, 13, 8, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 1, u^2
-v^2-2 < y, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [1, 1], [8, 8], [0, 0
]]]], [[8, 1, 11, 5, 1], [v = 1, u < -3^(1/2), u^2-2 < x, And(-x < y,y < u^2-x
-2), z = z], [regular_chain, [[1, 1], [-3, -3], [8, 8], [-9/2, -9/2], [0, 0]]]
], [[8, 8, 2, 2, 1], [v = 1, u = 0, x = -2, y = 0, z < -2^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-2, -2], [0, 0], [-3, -3]]]], [[8, 8, 2, 2, 2
], [v = 1, u = 0, x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[1, 1], [0, 0
], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[8, 8, 2, 2, 3],
[v = 1, u = 0, x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[1, 1], [0, 0], [-2, -2], [0, 0], [0, 0]]]], [[8, 8, 2, 2, 4], [v = 1, u = 0,
x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[1, 1], [0, 0], [-2, -2], [0, 0]
, [741455/524288, 1482911/1048576]]]], [[8, 8, 2, 2, 5], [v = 1, u = 0, x = -2
, y = 0, 2^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [0, 0], [3,
3]]]], [[8, 9, 8, 5, 1], [v = 1, And(0 < u,u < 1), x = 0, And(-u^2 < y,y < 0),
z < -(-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/8, -1/8], [
-2, -2]]]], [[8, 9, 8, 5, 2], [v = 1, And(0 < u,u < 1), x = 0, And(-u^2 < y,y
< 0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/8, -1
/8], [-46341/131072, -370727/1048576]]]], [[8, 9, 8, 5, 3], [v = 1, And(0 < u,
u < 1), x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/8, -1/8], [0, 0]]]], [[8, 9, 8
, 5, 4], [v = 1, And(0 < u,u < 1), x = 0, And(-u^2 < y,y < 0), z = (-y)^(1/2)]
, [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/8, -1/8], [370727/1048576,
46341/131072]]]], [[8, 9, 8, 5, 5], [v = 1, And(0 < u,u < 1), x = 0, And(-u^2
< y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/
8, -1/8], [2, 2]]]], [[8, 14, 1, 6, 1], [v = 1, u = 3^(1/2), x < -3, y = -x, z
< 0], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [4,
4], [-1, -1]]]], [[8, 14, 1, 6, 2], [v = 1, u = 3^(1/2), x < -3, y = -x, z = 0
], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [4, 4]
, [0, 0]]]], [[8, 14, 1, 6, 3], [v = 1, u = 3^(1/2), x < -3, y = -x, 0 < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-4, -4], [4, 4], [1
, 1]]]], [[8, 15, 6, 2, 1], [v = 1, 3^(1/2) < u, x = 0, y = -u^2, z < -u], [
regular_chain, [[1, 1], [3, 3], [0, 0], [-9, -9], [-4, -4]]]], [[8, 15, 6, 2,
2], [v = 1, 3^(1/2) < u, x = 0, y = -u^2, z = -u], [regular_chain, [[1, 1], [3
, 3], [0, 0], [-9, -9], [-3, -3]]]], [[8, 15, 6, 2, 3], [v = 1, 3^(1/2) < u, x
= 0, y = -u^2, And(-u < z,z < u)], [regular_chain, [[1, 1], [3, 3], [0, 0], [-\
9, -9], [0, 0]]]], [[8, 15, 6, 2, 4], [v = 1, 3^(1/2) < u, x = 0, y = -u^2, z
= u], [regular_chain, [[1, 1], [3, 3], [0, 0], [-9, -9], [3, 3]]]], [[8, 15, 6
, 2, 5], [v = 1, 3^(1/2) < u, x = 0, y = -u^2, u < z], [regular_chain, [[1, 1]
, [3, 3], [0, 0], [-9, -9], [4, 4]]]], [[9, 6, 2, 3, 1], [And(1 < v,v < 2^(1/2
)), u = -v, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [1/2, 1/2], [-2, -2]]]], [[9, 6, 2, 3, 2], [And(1 < v,v < 2^(1/2)), u = -
v, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1/
2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[9, 6, 2, 3, 3], [And(1 < v,
v < 2^(1/2)), u = -v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[9, 6, 2, 3, 4],
[And(1 < v,v < 2^(1/2)), u = -v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[9,
6, 2, 3, 5], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, And(0 < y,y < 1), (1-y)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[9, 7, 10, 4, 1]
, [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2
-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1498947/1048576, -\
749473/524288], [-2, -2]]]], [[9, 7, 10, 4, 2], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-1498947/1048576, -749473/524288], [-1374407/
2097152, -687203/1048576]]]], [[9, 7, 10, 4, 3], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [1, 1], [-1498947/1048576, -749473/
524288], [0, 0]]]], [[9, 7, 10, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
1, 1], [-1498947/1048576, -749473/524288], [687203/1048576, 171801/262144]]]],
[[9, 7, 10, 4, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x
= 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-1498947/
1048576, -749473/524288], [2, 2]]]], [[9, 9, 3, 8, 1], [And(1 < v,v < 2^(1/2))
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -u
^2+v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [-1812519/1048576, -1812519/1048576], [2291829/1048576, 1145915/524288], [0
, 0]]]], [[9, 10, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0
< x,x < 1), 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [354469/524288, 708939/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[9, 16, 9,
8, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [0, 0], [0, 0]]]], [[10, 1, 3, 4, 1], [v = 2^(1/2), u < -2,
And(-u^2+1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[10, 1
, 3, 4, 2], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = 0, z = -(-x)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2]
, [0, 0], [-1112183/524288, -2224365/1048576]]]], [[10, 1, 3, 4, 3], [v = 2^(1
/2), u < -2, And(-u^2+1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2],
[0, 0], [0, 0]]]], [[10, 1, 3, 4, 4], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x <
-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [-9/2, -9/2], [0, 0], [2224365/1048576, 1112183/524288]]]], [[10,
1, 3, 4, 5], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2],
[0, 0], [4, 4]]]], [[10, 5, 3, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
And(-u^2+1 < x,x < -1), -x < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [3, 3], [0, 0]]]], [[10, 7, 1, 1, 1], [v = 2^(1/2), And(-v <
u,u < -1), x < u^2-3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1,
-1], [-3, -3]]]], [[10, 7, 1, 1, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2
-3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-2, -2]]]
], [[10, 7, 1, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y < 0, And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [0, 0]]]]
, [[10, 7, 1, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y < 0, z = (
-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[10, 7, 1, 1, 5],
[v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [3, 3]]]], [[10, 12, 9, 7, 1], [v = 2^(1/2), u =
1, 1 < x, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1
, 1], [2, 2], [1, 1], [0, 0]]]], [[10, 14, 4, 2, 1], [v = 2^(1/2), u = v, x =
0, y = -1, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[10, 14, 4, 2, 2],
[v = 2^(1/2), u = v, x = 0, y = -1, z = -1], [regular_chain, [[741455/524288,
1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-1, -1]
]]], [[10, 14, 4, 2, 3], [v = 2^(1/2), u = v, x = 0, y = -1, And(-1 < z,z < 1)
], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [0, 0]]]], [[10, 14, 4, 2, 4], [v = 2^(1/2), u = v
, x = 0, y = -1, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1]]]], [[10, 14, 4, 2,
5], [v = 2^(1/2), u = v, x = 0, y = -1, 1 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-1, -1],
[2, 2]]]], [[11, 2, 3, 8, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x <
-1), y = 1-x, z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-2, -2], [3, 3], [0, 0]]]], [[11, 3, 8, 4, 1], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144,
518045/1048576], [-518045/1048576, -129511/262144], [-1, -1]]]], [[11, 3, 8, 4
, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1,
y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [129511/262144, 518045/1048576], [-518045/1048576, -129511/262144],
[0, 0]]]], [[11, 3, 8, 4, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-518045/
1048576, -129511/262144], [1, 1]]]], [[11, 9, 11, 6, 1], [2^(1/2) < v, And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [-\
1564117/1048576, -391029/262144], [0, 0]]]], [[11, 11, 5, 2, 1], [2^(1/2) < v,
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-19/
2, -19/2], [-5, -5]]]], [[11, 11, 5, 2, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-19/2, -19/2], [-3315889
/1048576, -207243/65536]]]], [[11, 11, 5, 2, 3], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2
+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-1/2
, -1/2], [-19/2, -19/2], [0, 0]]]], [[11, 11, 5, 2, 4], [2^(1/2) < v, And(-(v^
2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u
^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-19/2, -19/2
], [207243/65536, 3315889/1048576]]]], [[11, 11, 5, 2, 5], [2^(1/2) < v, And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, (-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-19/2, -\
19/2], [5, 5]]]], [[11, 15, 5, 9, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), And(-1 < x,x < -u^2+v^2-1), -x < y, z = z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [
0, 0]]]], [[11, 17, 3, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-258691/2097152, -258691/2097152], [-3, -3]]]], [[11, 17, 3
, 3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/
2097152, -258691/2097152], [-1227355/1048576, -613677/524288]]]], [[11, 17, 3,
3, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-258691/2097152, -258691/2097152], [0, 0]]]], [[11, 17, 3,
3, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/
2097152, -258691/2097152], [613677/524288, 1227355/1048576]]]], [[11, 17, 3, 3
, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/
2097152, -258691/2097152], [3, 3]]]], [[1, 1, 6, 7, 1], [v < -2^(1/2), u < -(v
^2+2)^(1/2), x = 0, u^2-v^2-1 < y, z = z], [regular_chain, [[-3, -3], [-5, -5]
, [0, 0], [16, 16], [0, 0]]]], [[1, 2, 9, 1, 1], [v < -2^(1/2), u = -(v^2+2)^(
1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-6, -6], [-3, -3]]]], [[1, 2, 9, 1
, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [-6, -\
6], [-2, -2]]]], [[1, 2, 9, 1, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y
< -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
-1738867/524288, -3477733/1048576], [2, 2], [-6, -6], [0, 0]]]], [[1, 2, 9, 1,
4], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [-6, -6
], [2, 2]]]], [[1, 2, 9, 1, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y <
-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733
/1048576], [2, 2], [-6, -6], [3, 3]]]], [[1, 9, 3, 9, 1], [v < -2^(1/2), And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), -u^2+v^2-x-1
< y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [-7357527/4194304, -7357527/4194304], [4, 4], [0, 0]]]], [[1, 10, 5, 8, 1],
[v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = 1-x, z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[3/2, 3/2], [0, 0]]]], [[1, 14, 6, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x
= 0, y = -2, z < -2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821
/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[1, 14, 6, 2, 2], [v < -2^(1/2), u
= (v^2-1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/
524288]]]], [[1, 14, 6, 2, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, y = -2
, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [0, 0], [-2, -2], [0, 0]]]], [[1, 14, 6, 2, 4], [v < -2^(1/2
), u = (v^2-1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [0, 0], [-2, -2], [741455/524288, 1482911/
1048576]]]], [[1, 14, 6, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, y = -\
2, 2^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[0, 0], [-2, -2], [3, 3]]]], [[1, 15, 11, 2, 1], [v < -2^(1/2), And((v^2-1)^(1
/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-\
7355465/2097152, -919433/262144], [-3, -3]]]], [[1, 15, 11, 2, 2], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2],
[-7355465/2097152, -919433/262144], [-1287385/1048576, -160923/131072]]]], [[1
, 15, 11, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-
v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-7355465/2097152, -\
919433/262144], [0, 0]]]], [[1, 15, 11, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-7355465/2097152, -\
919433/262144], [160923/131072, 1287385/1048576]]]], [[1, 15, 11, 2, 5], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^
(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2,
2], [-7355465/2097152, -919433/262144], [3, 3]]]], [[2, 1, 2, 1, 1], [v = -2^(
1/2), u < -2, x = -u^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [-1, -1], [-4, -4]]]], [
[2, 1, 2, 1, 2], [v = -2^(1/2), u < -2, x = -u^2+1, y < 0, z = -(u^2-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [
-1, -1], [-3, -3]]]], [[2, 1, 2, 1, 3], [v = -2^(1/2), u < -2, x = -u^2+1, y <
0, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-8, -8], [-1, -1], [0, 0]]]], [[2, 1, 2,
1, 4], [v = -2^(1/2), u < -2, x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-8, -8], [-1, -\
1], [3, 3]]]], [[2, 1, 2, 1, 5], [v = -2^(1/2), u < -2, x = -u^2+1, y < 0, (u^
2-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-8, -8], [-1, -1], [4, 4]]]], [[2, 2, 4, 2, 1], [v = -2^(1/2), u = -2, x
= -1, y = -2, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [-2, -2], [-3, -3]]]], [[2, 2, 4, 2, 2], [v = -2^
(1/2), u = -2, x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[2, 2, 4, 2, 3], [v = -2^(1/2), u = -2, x = -1, y = -2,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[2, 2, 4,
2, 4], [v = -2^(1/2), u = -2, x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-2, -2], [908093/
524288, 1816187/1048576]]]], [[2, 2, 4, 2, 5], [v = -2^(1/2), u = -2, x = -1,
y = -2, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2
, -2], [-1, -1], [-2, -2], [3, 3]]]], [[2, 9, 9, 1, 1], [v = -2^(1/2), And(-1
< u,u < 0), And(-u^2+1 < x,x < 1), y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8],
[-5, -5], [-4, -4]]]], [[2, 9, 9, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), And
(-u^2+1 < x,x < 1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [-5, -5], [-532417
/262144, -2129667/1048576]]]], [[2, 9, 9, 1, 3], [v = -2^(1/2), And(-1 < u,u <
0), And(-u^2+1 < x,x < 1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7
/8], [-5, -5], [0, 0]]]], [[2, 9, 9, 1, 4], [v = -2^(1/2), And(-1 < u,u < 0),
And(-u^2+1 < x,x < 1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [-5, -5], [2129667
/1048576, 532417/262144]]]], [[2, 9, 9, 1, 5], [v = -2^(1/2), And(-1 < u,u < 0
), And(-u^2+1 < x,x < 1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [-5, -5], [4, 4]]]
], [[2, 11, 1, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, -u^2-x+1 < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4
, -4], [6, 6], [0, 0]]]], [[2, 17, 5, 8, 1], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), And(-1 < x,x < 0), y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [
1029755/1048576, 257439/262144], [0, 0]]]], [[2, 18, 7, 9, 1], [v = -2^(1/2),
u = 2, And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [1/2, 1/2], [2, 2], [0, 0]]]], [[3, 3, 7, 2, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x
< u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/2097152, 501965/2097152], [-5700201/2097152, -712525/262144], [-3, -3]]
]], [[3, 3, 7, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-5700201/
2097152, -712525/262144], [-3301741/2097152, -825435/524288]]]], [[3, 3, 7, 2,
3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-\
5700201/2097152, -712525/262144], [0, 0]]]], [[3, 3, 7, 2, 4], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1
), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [-5700201/2097152, -712525/262144], [825435/524288,
1650871/1048576]]]], [[3, 3, 7, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-\
5700201/2097152, -712525/262144], [3, 3]]]], [[3, 5, 2, 1, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2
-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [-1, -1], [-3
, -3]]]], [[3, 5, 2, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,
u < v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [-1, -1], [-3294283/2097152, -1647141/
1048576]]]], [[3, 5, 2, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [-1, -1], [0,
0]]]], [[3, 5, 2, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [-1, -1], [1647141/1048576, 823571/524288]]]
], [[3, 5, 2, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [-1, -1], [3, 3]]]], [[3, 11, 5, 9, 1], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), -x <
y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-374737/524288, -374737/524288], [2, 2], [0, 0]]]],
[[3, 13, 2, 6, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
= -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [1538811/1048576, 384703/262144], [-1, -1]]]], [[3, 13, 2, 6
, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1
, y = u^2-v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [
1538811/1048576, 384703/262144], [0, 0]]]], [[3, 13, 2, 6, 3], [And(-2^(1/2) <
v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-384703/262144, -1538811/1048576], [1538811/1048576, 384703
/262144], [1, 1]]]], [[3, 14, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [1/2, 1/2], [-2, -2]]]], [[3, 14, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[3, 14, 4, 5, 3], [And(
-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^
(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-1, -1], [1/2, 1/2], [0, 0]]]], [
[3, 14, 4, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, And(0
< y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[3, 14, 4, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v
^2+1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [1/2, 1/2], [2, 2]]]], [[3, 15, 9, 9, 1], [And(-2^(1/2) < v,v < -1), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [1, 1], [0, 0]]]], [[4, 4, 4, 7, 1]
, [v = -1, u = -2^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [0, 0]]]], [[4, 5, 10, 2,
1], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, z < u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
2576463/1048576, -1288231/524288], [-3, -3]]]], [[4, 5, 10, 2, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, z = u], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [1, 1], [-2576463/1048576, -1288231/
524288], [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 10, 2, 3], [v = -1,
And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
2576463/1048576, -1288231/524288], [0, 0]]]], [[4, 5, 10, 2, 4], [v = -1, And(
-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, z = -u], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [1, 1], [-2576463/1048576, -1288231/
524288], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 10, 2, 5], [v = -1, 
And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, -u < z], [regular_chain, [[-1, -1
], [-1265743/1048576, -1265743/1048576], [1, 1], [-2576463/1048576, -1288231/
524288], [3, 3]]]], [[4, 10, 5, 1, 1], [v = -1, u = 1, And(0 < x,x < 1), y < -\
1-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-3, -\
3], [-3, -3]]]], [[4, 10, 5, 1, 2], [v = -1, u = 1, And(0 < x,x < 1), y < -1-x
, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-3, -3],
[-3315889/2097152, -207243/131072]]]], [[4, 10, 5, 1, 3], [v = -1, u = 1, And(
0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-3, -3], [0, 0]]]], [[4, 10, 5,
1, 4], [v = -1, u = 1, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[4, 10, 5, 1, 5], [v = -1, u = 1, And(0 < x,x < 1), y <
-1-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [-3, -\
3], [3, 3]]]], [[4, 11, 11, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y =
-x, z < 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2,
2], [-2, -2], [-1, -1]]]], [[4, 11, 11, 6, 2], [v = -1, And(1 < u,u < 2^(1/2))
, 1 < x, y = -x, z = 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [2, 2], [-2, -2], [0, 0]]]], [[4, 11, 11, 6, 3], [v = -1, And(1 < u,
u < 2^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[5, 2, 7, 7, 1], [And
(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z =
z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [1/4, 1/4], [0, 0
]]]], [[5, 3, 11, 8, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [2, 2], [0, 0], [0, 0]]]], [[5, 11, 9, 5, 1], [And(-1
< v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1)
, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-2097155/4194304,
-2097155/4194304], [0, 0]]]], [[5, 13, 2, 4, 1], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-1/2, -1/2]
, [3, 3], [-39/4, -39/4], [39/4, 39/4], [-1, -1]]]], [[5, 13, 2, 4, 2], [And(-\
1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [39/4, 39/4], [0, 0]]]],
[[5, 13, 2, 4, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y =
u^2-v^2+1, 0 < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [39/
4, 39/4], [1, 1]]]], [[6, 5, 9, 7, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x
< 1), And(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2,
1/2], [-1/4, -1/4], [0, 0]]]], [[6, 7, 6, 2, 1], [v = 0, And(0 < u,u < 1), x =
u^2-1, y = -2*u^2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [
-3/4, -3/4], [-1/2, -1/2], [-3, -3]]]], [[6, 7, 6, 2, 2], [v = 0, And(0 < u,u
< 1), x = u^2-1, y = -2*u^2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/
2, 1/2], [-3/4, -3/4], [-1/2, -1/2], [-146543/131072, -1172343/1048576]]]], [[
6, 7, 6, 2, 3], [v = 0, And(0 < u,u < 1), x = u^2-1, y = -2*u^2, And(-(u^2+1)^
(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/
4], [-1/2, -1/2], [0, 0]]]], [[6, 7, 6, 2, 4], [v = 0, And(0 < u,u < 1), x = u
^2-1, y = -2*u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3
/4, -3/4], [-1/2, -1/2], [1172343/1048576, 146543/131072]]]], [[6, 7, 6, 2, 5]
, [v = 0, And(0 < u,u < 1), x = u^2-1, y = -2*u^2, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-1/2, -1/2], [3, 3]]]], [[6
, 11, 7, 6, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [0, 0], [0, 0]]]], [[7, 1, 9, 5, 1
], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-x < y
,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-35/16,
-35/16], [0, 0]]]], [[7, 7, 11, 4, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1
< x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
0, 0], [2, 2], [-11/4, -11/4], [-2, -2]]]], [[7, 7, 11, 4, 2], [And(0 < v,v <
1), And(-v < u,u < v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-11/4, -11/4], [-1816187/2097152,
-3632373/4194304]]]], [[7, 7, 11, 4, 3], [And(0 < v,v < 1), And(-v < u,u < v),
1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-11/4, -11/4], [-1/8388608, -1/
8388608]]]], [[7, 7, 11, 4, 4], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [
2, 2], [-11/4, -11/4], [908093/1048576, 454047/524288]]]], [[7, 7, 11, 4, 5],
[And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-11/4, -11/4], [2, 2]]]
], [[7, 9, 8, 1, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y
< -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[7, 9, 8, 1, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-3,
-3], [-1816187/1048576, -3632373/2097152]]]], [[7, 9, 8, 1, 3], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152
], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[7, 9, 8, 1, 4], [And(0 < v
,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-3,
-3], [908093/524288, 1816187/1048576]]]], [[7, 9, 8, 1, 5], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-3, -\
3], [3, 3]]]], [[7, 11, 1, 8, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2
, 1/2], [343151/262144, 343151/262144], [-4, -4], [2340173/524288, 4680347/
1048576], [0, 0]]]], [[7, 12, 4, 4, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
x = -1, y = 0, z < -1], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [0,
0], [-2, -2]]]], [[7, 12, 4, 4, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x =
-1, y = 0, z = -1], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [0, 0],
[-1, -1]]]], [[7, 12, 4, 4, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1,
y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1],
[0, 0], [0, 0]]]], [[7, 12, 4, 4, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x
= -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [0, 0]
, [1, 1]]]], [[7, 12, 4, 4, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1,
y = 0, 1 < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [0, 0], [2,
2]]]], [[8, 5, 2, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(0 < y
,y < 2*u^2-2), z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576
, -1265743/1048576], [-1527887/1048576, -763943/524288], [958621/2097152, 
958621/2097152], [-3, -3]]]], [[8, 5, 2, 3, 2], [v = 1, And(-2^(1/2) < u,u < -\
1), x = -u^2, And(0 < y,y < 2*u^2-2), z = -(u^2-y)^(1/2)], [regular_chain, [[1
, 1], [-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288]
, [958621/2097152, 958621/2097152], [-1048577/1048576, -1]]]], [[8, 5, 2, 3, 3
], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(0 < y,y < 2*u^2-2), And(-(u
^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [958621/
2097152, 958621/2097152], [0, 0]]]], [[8, 5, 2, 3, 4], [v = 1, And(-2^(1/2) <
u,u < -1), x = -u^2, And(0 < y,y < 2*u^2-2), z = (u^2-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [958621/2097152, 958621/2097152], [1, 1048577/
1048576]]]], [[8, 5, 2, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And
(0 < y,y < 2*u^2-2), (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [958621/
2097152, 958621/2097152], [3, 3]]]], [[8, 6, 6, 2, 1], [v = 1, u = -1, x = 1,
y = -2, z < -1], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-2, -2], [-2, -2]
]]], [[8, 6, 6, 2, 2], [v = 1, u = -1, x = 1, y = -2, z = -1], [regular_chain,
[[1, 1], [-1, -1], [1, 1], [-2, -2], [-1, -1]]]], [[8, 6, 6, 2, 3], [v = 1, u
= -1, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [1
, 1], [-2, -2], [0, 0]]]], [[8, 6, 6, 2, 4], [v = 1, u = -1, x = 1, y = -2, z
= 1], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-2, -2], [1, 1]]]], [[8, 6,
6, 2, 5], [v = 1, u = -1, x = 1, y = -2, 1 < z], [regular_chain, [[1, 1], [-1,
-1], [1, 1], [-2, -2], [2, 2]]]], [[8, 11, 3, 7, 1], [v = 1, And(1 < u,u < 2^(
1/2)), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [2007197/2097152, 2007197/2097152], [-2, -2]]]], [[8, 11, 3
, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(u^2-x-2 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1288231/1048576, -1288231/1048576], [2007197/2097152, 
2007197/2097152], [-273157/524288, -1092627/2097152]]]], [[8, 11, 3, 7, 3], [v
= 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [2007197/
2097152, 2007197/2097152], [-1/4194304, -1/4194304]]]], [[8, 11, 3, 7, 4], [v
= 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1288231/1048576, -1288231/1048576], [2007197/2097152, 2007197/2097152], [
546313/1048576, 273157/524288]]]], [[8, 11, 3, 7, 5], [v = 1, And(1 < u,u < 2^
(1/2)), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1288231/1048576,
-1288231/1048576], [2007197/2097152, 2007197/2097152], [2, 2]]]], [[8, 12, 7,
6, 1], [v = 1, u = 2^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[9,
3, 4, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
-775271/524288, -1550541/1048576], [-3, -3]]]], [[9, 3, 4, 2, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1, -1], [-775271/524288, -1550541/
1048576], [-3301741/2097152, -825435/524288]]]], [[9, 3, 4, 2, 3], [And(1 < v,
v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
, -1], [-775271/524288, -1550541/1048576], [0, 0]]]], [[9, 3, 4, 2, 4], [And(1
< v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2
+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-775271/524288, -\
1550541/1048576], [825435/524288, 1650871/1048576]]]], [[9, 3, 4, 2, 5], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u
^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-775271/524288, -\
1550541/1048576], [3, 3]]]], [[9, 4, 8, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1]
, [-2, -2], [-2, -2]]]], [[9, 4, 8, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+
1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1],
[-2, -2], [-1, -1]]]], [[9, 4, 8, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)
^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [1, 1], [-2, -2], [0, 0]]]], [[9, 4, 8, 3, 4], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [1, 1], [-2, -2], [1, 1]]]], [[9, 4, 8, 3, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [1, 1], [-2, -2], [2, 2]]]], [[9, 12, 1, 7, 1], [And(1 < v,v < 2^(1/
2)), u = v, x < -1, -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [3, 3], [0, 0]]]], [[
9, 13, 10, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1
, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-4, -4], [-3, -\
3]]]], [[9, 13, 10, 1, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2
)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-4, -4
], [-1816187/1048576, -3632373/2097152]]]], [[9, 13, 10, 1, 3], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/
2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[9, 13, 10, 1, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1
)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-4, -4
], [908093/524288, 1816187/1048576]]]], [[9, 13, 10, 1, 5], [And(1 < v,v < 2^(
1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [1, 1], [-4, -4], [3, 3]]]], [[10, 2, 5, 7, 1], [v = 2^(1/2), u = -\
2, And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [1, 1], [0, 0]]]], [[10, 3,
10, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(-1 < y,y < u^2-4
), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [1, 1], [-1591685/2097152, -1591685/2097152], [0,
0]]]], [[10, 8, 4, 3, 1], [v = 2^(1/2), u = -1, x = -1, And(-1 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-\
1, -1], [-1/2, -1/2], [-3, -3]]]], [[10, 8, 4, 3, 2], [v = 2^(1/2), u = -1, x
= -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119
/524288]]]], [[10, 8, 4, 3, 3], [v = 2^(1/2), u = -1, x = -1, And(-1 < y,y < 0
), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[10, 8, 4, 3,
4], [v = 2^(1/2), u = -1, x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-1/2, -\
1/2], [642119/524288, 1284239/1048576]]]], [[10, 8, 4, 3, 5], [v = 2^(1/2), u
= -1, x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[10, 9
, 10, 2, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, y = u^2-4, z < -(-u^2+3)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1
], [-15/4, -15/4], [-3, -3]]]], [[10, 9, 10, 2, 2], [v = 2^(1/2), And(-1 < u,u
< 0), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [1, 1], [-15/4, -15/4], [-1738867/1048576, -\
3477733/2097152]]]], [[10, 9, 10, 2, 3], [v = 2^(1/2), And(-1 < u,u < 0), x =
1, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [-15/4, -15/4], [-1/
4194304, -1/4194304]]]], [[10, 9, 10, 2, 4], [v = 2^(1/2), And(-1 < u,u < 0),
x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [1, 1], [-15/4, -15/4], [869433/524288, 
1738867/1048576]]]], [[10, 9, 10, 2, 5], [v = 2^(1/2), And(-1 < u,u < 0), x =
1, y = u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [1, 1], [-15/4, -15/4], [3, 3]]]], [[10, 15, 11, 6, 1]
, [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = -x, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2],
[-2, -2], [-1, -1]]]], [[10, 15, 11, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2
)), 1 < x, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [2, 2], [-2, -2], [0, 0]]]], [[10, 15, 11,
6, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [-2, -2], [1, 1]]]], [[10, 17, 7, 2, 1], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [-2855353/1048576, -5710705/
2097152], [-3, -3]]]], [[10, 17, 7, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2
), And(0 < x,x < u^2-3), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/
2097152, 505467/2097152], [-2855353/1048576, -5710705/2097152], [-825991/
524288, -3303963/2097152]]]], [[10, 17, 7, 2, 3], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-\
1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-2855353/1048576
, -5710705/2097152], [-1/4194304, -1/4194304]]]], [[10, 17, 7, 2, 4], [v = 2^(
1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [505467/2097152, 505467/2097152], [-2855353/1048576, -\
5710705/2097152], [1651981/1048576, 825991/524288]]]], [[10, 17, 7, 2, 5], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y = -u^2-x+1, (u^2-1)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-2855353/1048576
, -5710705/2097152], [3, 3]]]], [[10, 18, 7, 7, 1], [v = 2^(1/2), u = 2, And(0
< x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[11, 1, 1, 3, 1]
, [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1
), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [1/2, 1/
2], [-6, -6]]]], [[11, 1, 1, 3, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2
+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-5, -5], [-18, -18], [1/2, 1/2], [-4386509/1048576, -1096627/262144]]]],
[[11, 1, 1, 3, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y
,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [-5, -5], [-18, -18], [1/2, 1/2], [0, 0]]]], [[11, 1, 1, 3, 4], [2^(1
/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [1/2, 1/2], [
1096627/262144, 4386509/1048576]]]], [[11, 1, 1, 3, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [1/2, 1/2], [6, 6]]]], [[11, 7,
2, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144]
, [2644589/2097152, 2644589/2097152], [-2, -2]]]], [[11, 7, 2, 5, 2], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -
u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [2644589/
2097152, 2644589/2097152], [-16263/32768, -520415/1048576]]]], [[11, 7, 2, 5,
3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*
v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2
))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [2644589/2097152, 2644589/2097152], [0, 0]]]], [[11,
7, 2, 5, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(
-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/
262144], [2644589/2097152, 2644589/2097152], [520415/1048576, 16263/32768]]]],
[[11, 7, 2, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1
, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [2644589/2097152, 2644589/2097152], [2, 2]]]], [[11,
8, 6, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [-2, -2
], [-3, -3]]]], [[11, 8, 6, 2, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y
= -2, z = -2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[11, 8, 6,
2, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2
^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0,
0], [-2, -2], [0, 0]]]], [[11, 8, 6, 2, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2),
x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[11
, 8, 6, 2, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y = -2, 2^(1/2) < z],
[regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [-2, -\
2], [3, 3]]]], [[11, 12, 5, 8, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x
,x < 0), y = 1-x, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[11, 13, 10, 6, 1], [2^(1/2) < v,
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-128885/
262144, -515539/1048576], [0, 0]]]], [[11, 20, 2, 6, 1], [2^(1/2) < v, u = (v^
2+2)^(1/2), x = -3, y = 4, z = z], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [-3, -3], [4, 4], [0, 0]]]], [[11, 21, 7, 4, 1], [2^(1/2) < v
, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3]
, [5, 5], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 21, 7, 4, 2], [2^(1/2)
< v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[3,
3], [5, 5], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 21, 7, 4, 3], [2^(1/2)
< v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3,
3], [5, 5], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 4, 3, 6, 1], [v < -2^(1/
2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[
-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [3/2, 3/2], [-1, -1]
]]], [[1, 4, 3, 6, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1),
y = -x, z = 0], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536],
[-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[1, 4, 3, 6, 3], [v < -2^(1/2), u = -(v^
2+1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[1, 5,
9, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [-403851/131072, -403851/131072], [1/2, 1/2], [-201326609/134217728, -\
201326609/134217728], [-3, -3]]]], [[1, 5, 9, 3, 2], [v < -2^(1/2), And(-(v^2+
1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1),
z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [1/2, 1/2], [-201326609/134217728, -201326609/134217728], [-1048577/1048576
, -1]]]], [[1, 5, 9, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(
0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
1/2, 1/2], [-201326609/134217728, -201326609/134217728], [0, 0]]]], [[1, 5, 9,
3, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [1/2, 1/2], [-201326609/134217728, -\
201326609/134217728], [1, 1048577/1048576]]]], [[1, 5, 9, 3, 5], [v < -2^(1/2)
, And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^
2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [1/2, 1/2], [-201326609/134217728, -201326609/134217728], [3,
3]]]], [[1, 11, 10, 7, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(
1/2)), x = -u^2+v^2-1, 0 < y, z = z], [regular_chain, [[-3, -3], [0, 0], [8, 8
], [1, 1], [0, 0]]]], [[1, 13, 4, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[
-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [-3, -3], [-3, -3]]]], [[
1, 13, 4, 1, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-1, y < u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288
, 1435023/524288], [-1, -1], [-3, -3], [-2, -2]]]], [[1, 13, 4, 1, 3], [v < -2
^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y < u^2-v^2, And(-(1
-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-1, -1], [-3, -3], [0, 0]]]], [[1, 13, 4, 1, 4], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = (1-y)^(
1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1],
[-3, -3], [2, 2]]]], [[1, 13, 4, 1, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = -1, y < u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [-1, -1], [-3, -3], [3, 3]]]], [[1, 17,
9, 1, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[1, 17, 9, 1, 2], [v < -2^
(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/
2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[1, 17, 9, 1, 3], [
v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-\
1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [1/2, 1/2], [-3, -3], [0, 0]]]], [[1, 17, 9, 1,
4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[1, 17, 9
, 1, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -
u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [1/2, 1/2], [-3, -3], [3, 3]]]], [[1, 19, 3, 9, 1], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2
-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [4, 4], [0, 0]]]], [[2, 3, 9, 3, 1
], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), And(-u^2-x+1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288],
[-4156663/2097152, -4156663/2097152], [-3, -3]]]], [[2, 3, 9, 3, 2], [v = -2^(
1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), And(-u^2-x+1 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288], [-4156663/
2097152, -4156663/2097152], [-4563/4096, -1168127/1048576]]]], [[2, 3, 9, 3, 3
], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), And(-u^2-x+1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
388511/524288, 388511/524288], [-4156663/2097152, -4156663/2097152], [0, 0]]]]
, [[2, 3, 9, 3, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x <
1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [-4156663/2097152, -4156663/2097152], [1168127/1048576, 4563
/4096]]]], [[2, 3, 9, 3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-\
3 < x,x < 1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
388511/524288, 388511/524288], [-4156663/2097152, -4156663/2097152], [3, 3]]]]
, [[2, 5, 4, 2, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = -u^2+2
, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [-497807/1048576, -248903/524288
], [-3, -3]]]], [[2, 5, 4, 2, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x =
-1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-497807/
1048576, -248903/524288], [-636691/524288, -1273381/1048576]]]], [[2, 5, 4, 2,
3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = -u^2+2, And(-(u^2-1)^(
1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-497807/1048576, -\
248903/524288], [0, 0]]]], [[2, 5, 4, 2, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [-\
497807/1048576, -248903/524288], [1273381/1048576, 636691/524288]]]], [[2, 5,
4, 2, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = -u^2+2, (u^2-1)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1, -1], [-497807/1048576, -248903/524288], [3, 3
]]]], [[2, 6, 6, 6, 1], [v = -2^(1/2), u = v, x = 1, y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [1, 1], [0, 0], [0, 0]]]], [[2, 8, 2, 2, 1], [v = -2^(1/2), u = -1,
x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-2, -2], [0, 0], [-3, -3]]]], [[2, 8, 2, 2, 2], [v = -2^(1
/2), u = -1, x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288
]]]], [[2, 8, 2, 2, 3], [v = -2^(1/2), u = -1, x = -2, y = 0, And(-2^(1/2) < z
,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-2, -2], [0, 0], [0, 0]]]], [[2, 8, 2, 2, 4], [v = -2^(1/2), u = -1, x = -2,
y = 0, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[2, 8, 2, 2, 5],
[v = -2^(1/2), u = -1, x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1, -1], [-2, -2], [0, 0], [3, 3]]]], [[2, 14, 2,
3, 1], [v = -2^(1/2), u = -v, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 14, 2, 3, 2], [v = -2^(1/2),
u = -v, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 14, 2, 3, 3], [v = -2
^(1/2), u = -v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[2, 14, 2, 3, 4], [v = -2^
(1/2), u = -v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1],
[1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2, 14, 2, 3, 5], [v = -2^(1/2)
, u = -v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[2, 15, 9, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [1, 1], [0, 0]
]]], [[2, 19, 11, 2, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1, z < -(
u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7
, 7], [-15, -15], [-4, -4]]]], [[2, 19, 11, 2, 2], [v = -2^(1/2), 2 < u, u^2-3
< x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [7, 7], [-15, -15], [-2965821/1048576, -11863283/
4194304]]]], [[2, 19, 11, 2, 3], [v = -2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1
, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3, 3], [7, 7], [-15, -15], [-3/8388608, -3/8388608]
]]], [[2, 19, 11, 2, 4], [v = -2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1, z = (u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7,
7], [-15, -15], [741455/262144, 2965821/1048576]]]], [[2, 19, 11, 2, 5], [v =
-2^(1/2), 2 < u, u^2-3 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3, 3], [7, 7], [-15, -15], [4, 4]]]], [[
3, 2, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y < 0,
z < -(3-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[3, 2, 2
, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y < 0, z = -(3
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [-1, -1], [-2, -2]]]], [[3, 2, 2, 1, 3],
[And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2)
< z,z < (3-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-3, -3], [-1, -1], [0, 0]]]], [[3, 2, 2
, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y < 0, z = (3-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [-1, -1], [2, 2]]]], [[3, 2, 2, 1, 5], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [-1, -1], [3, 3]]]], [[3, 8, 4, 6, 1], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -\
1], [1, 1], [-1, -1]]]], [[3, 8, 4, 6, 2], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1, 1], [0, 0]
]]], [[3, 8, 4, 6, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1,
y = 1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [1, 1], [1, 1]]]], [[3, 9, 10, 1,
1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x =
1, y < u^2-v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [-5, -5], [-3, -3]]]], [[3, 9, 10, 1, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y
< u^2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-5, -5], [-2, -2]]]], [[3, 9, 10, 1, 3], [And(-2^(1
/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2
-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [-5, -5], [0, 0]]]], [[3, 9, 10, 1
, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x
= 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [-5, -5], [2, 2]]]], [[3, 9, 10, 1, 5], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u
^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-5, -5], [3, 3]]]], [[3, 17, 3, 8, 1], [And(-2^(1/2
) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [11863945/1048576, 5931973/524288], [0,
0]]]], [[4, 1, 5, 7, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), And(-x < y,
y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [4, 4
], [0, 0]]]], [[4, 7, 7, 8, 1], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0
), y = -x, z < 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [1/8
, 1/8], [-1, -1]]]], [[4, 7, 7, 8, 2], [v = -1, And(-1 < u,u < 0), And(-u^2 <
x,x < 0), y = -x, z = 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8
], [1/8, 1/8], [0, 0]]]], [[4, 7, 7, 8, 3], [v = -1, And(-1 < u,u < 0), And(-u
^2 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8,
-1/8], [1/8, 1/8], [1, 1]]]], [[4, 9, 2, 7, 1], [v = -1, And(0 < u,u < 1), x =
u^2-2, -u^2+2 < y, z = z], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4]
, [3, 3], [0, 0]]]], [[4, 13, 7, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(0 < x,x < u^2-2), And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-124451/
1048576, -124451/1048576], [0, 0]]]], [[4, 14, 9, 6, 1], [v = -1, u = 3^(1/2),
1 < x, y = 1-x, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[5, 5, 7, 9, 1], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [2, 2], [0, 0]]]], [[5, 7, 4, 6, 1], [And(-1 < v,v
< 0), And(v < u,u < -v), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/4, 1/4], [-2, -2]]]], [[5,
7, 4, 6, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = -u^2+v^2, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/4, 1/
4], [-1816187/2097152, -3632373/4194304]]]], [[5, 7, 4, 6, 3], [And(-1 < v,v <
0), And(v < u,u < -v), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/4, 1/4]
, [-1/8388608, -1/8388608]]]], [[5, 7, 4, 6, 4], [And(-1 < v,v < 0), And(v < u
,u < -v), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [0, 0], [-1, -1], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [[5
, 7, 4, 6, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, y = -u^2+v^2, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1/4, 1
/4], [2, 2]]]], [[5, 8, 7, 1, 1], [And(-1 < v,v < 0), u = -v, 1 < x, y < -1-x,
z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4
], [-3, -3]]]], [[5, 8, 7, 1, 2], [And(-1 < v,v < 0), u = -v, 1 < x, y < -1-x,
z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4
], [-1482911/1048576, -741455/524288]]]], [[5, 8, 7, 1, 3], [And(-1 < v,v < 0)
, u = -v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4], [0, 0]]]], [[5, 8,
7, 1, 4], [And(-1 < v,v < 0), u = -v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-4, -4], [741455/524288, 
1482911/1048576]]]], [[5, 8, 7, 1, 5], [And(-1 < v,v < 0), u = -v, 1 < x, y <
-1-x, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [2, 2], [-\
4, -4], [3, 3]]]], [[5, 10, 2, 4, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x
= -2, y = 2, z < 0], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-2, -2], [2, 2], [-1, -1]]]], [[5, 10, 2, 4, 2], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-2, -2], [2, 2], [0, 0]]]], [[5, 10, 2, 4, 3
], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -2, y = 2, 0 < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-2, -2], [2,
2], [1, 1]]]], [[6, 2, 9, 7, 1], [v = 0, u = -2^(1/2), 1 < x, And(1-x < y,y <
0), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2
], [-1/2, -1/2], [0, 0]]]], [[6, 4, 3, 3, 1], [v = 0, u = -1, And(-2 < x,x < -\
1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1]
, [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[6, 4, 3, 3, 2], [v = 0, u = -1, 
And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[0, 0], [-1, -1], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]
]], [[6, 4, 3, 3, 3], [v = 0, u = -1, And(-2 < x,x < -1), And(-x-2 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [
-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[6, 4, 3, 3, 4], [v = 0, u = -1, And(-2
< x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[6, 4
, 3, 3, 5], [v = 0, u = -1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1
/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-1/4, -1/4], [3, 3
]]]], [[6, 8, 9, 2, 1], [v = 0, u = 1, 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[0, 0], [1, 1], [2, 2], [-4, -4], [-3, -3]]]], [[6, 8, 9, 2, 2
], [v = 0, u = 1, 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[0, 0], [1,
1], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[6, 8, 9, 2, 3],
[v = 0, u = 1, 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain
, [[0, 0], [1, 1], [2, 2], [-4, -4], [0, 0]]]], [[6, 8, 9, 2, 4], [v = 0, u =
1, 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [-4
, -4], [741455/524288, 1482911/1048576]]]], [[6, 8, 9, 2, 5], [v = 0, u = 1, 1
< x, y = -x-2, 2^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [2, 2], [-4, -4]
, [3, 3]]]], [[6, 10, 2, 3, 1], [v = 0, u = 2^(1/2), x = -3, And(0 < y,y < 3),
z < -(3-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[-3, -3], [3/2, 3/2], [-3, -3]]]], [[6, 10, 2, 3, 2], [v = 0, u = 2^(1/2), x =
-3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/
524288]]]], [[6, 10, 2, 3, 3], [v = 0, u = 2^(1/2), x = -3, And(0 < y,y < 3),
And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-3, -3], [3/2, 3/2], [0, 0]]]], [[6, 10, 2, 3, 4],
[v = 0, u = 2^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [3/2, 3/2]
, [642119/524288, 1284239/1048576]]]], [[6, 10, 2, 3, 5], [v = 0, u = 2^(1/2),
x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-3, -3], [3/2, 3/2], [3, 3]]]], [[7, 4, 9, 6, 1], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[
1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [0, 0], [0, 0]]]], [[7,
6, 3, 4, 1], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1
/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2
]]]], [[7, 6, 3, 4, 2], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0
], [-1482911/2097152, -741455/1048576]]]], [[7, 6, 3, 4, 3], [And(0 < v,v < 1)
, u = -v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [0, 0]]]], [[7
, 6, 3, 4, 4], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = 0, z = (-x)^(
1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[7, 6, 3, 4, 5], [And(0 < v,v < 1), u = -v,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[7, 13, 9, 1, 1], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-16, -16], [-5, -5]]]
], [[7, 13, 9, 1, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-
v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3,
3], [35/8, 35/8], [-16, -16], [-27931/8192, -3575167/1048576]]]], [[7, 13, 9,
1, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^
2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/
2], [3, 3], [35/8, 35/8], [-16, -16], [0, 0]]]], [[7, 13, 9, 1, 4], [And(0 < v
,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-
x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-16, -16], [
3575167/1048576, 27931/8192]]]], [[7, 13, 9, 1, 5], [And(0 < v,v < 1), (v^2+2)
^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-16, -16], [5, 5]]]], [[8,
1, 11, 6, 1], [v = 1, u < -3^(1/2), u^2-2 < x, y = u^2-x-2, z = z], [
regular_chain, [[1, 1], [-3, -3], [8, 8], [-1, -1], [0, 0]]]], [[8, 8, 2, 1, 1
], [v = 1, u = 0, x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[1, 1], [
0, 0], [-2, -2], [-1, -1], [-3, -3]]]], [[8, 8, 2, 1, 2], [v = 1, u = 0, x = -\
2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-2, -2], [-1, -\
1], [-1816187/1048576, -3632373/2097152]]]], [[8, 8, 2, 1, 3], [v = 1, u = 0,
x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1, 1]
, [0, 0], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[8, 8, 2, 1, 4], [
v = 1, u = 0, x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[1, 1], [0, 0]
, [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[8, 8, 2, 1, 5], [
v = 1, u = 0, x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0]
, [-2, -2], [-1, -1], [3, 3]]]], [[8, 9, 8, 4, 1], [v = 1, And(0 < u,u < 1), x
= 0, y = -u^2, z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/4, -1
/4], [-2, -2]]]], [[8, 9, 8, 4, 2], [v = 1, And(0 < u,u < 1), x = 0, y = -u^2,
z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [-1/2, -1/
2]]]], [[8, 9, 8, 4, 3], [v = 1, And(0 < u,u < 1), x = 0, y = -u^2, And(-u < z
,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [0, 0]]]]
, [[8, 9, 8, 4, 4], [v = 1, And(0 < u,u < 1), x = 0, y = -u^2, z = u], [
regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [1/2, 1/2]]]], [[8,
9, 8, 4, 5], [v = 1, And(0 < u,u < 1), x = 0, y = -u^2, u < z], [regular_chain
, [[1, 1], [1/2, 1/2], [0, 0], [-1/4, -1/4], [2, 2]]]], [[8, 14, 1, 7, 1], [v
= 1, u = 3^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[1, 1]
, [908093/524288, 1816187/1048576], [-4, -4], [9/2, 9/2], [0, 0]]]], [[8, 15,
6, 3, 1], [v = 1, 3^(1/2) < u, x = 0, And(-u^2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [0, 0], [-9/2, -9/2], [-4, -4]]]], [[8, 15, 6,
3, 2], [v = 1, 3^(1/2) < u, x = 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [0, 0], [-9/2, -9/2], [-1112183/524288, -\
2224365/1048576]]]], [[8, 15, 6, 3, 3], [v = 1, 3^(1/2) < u, x = 0, And(-u^2 <
y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [3, 3
], [0, 0], [-9/2, -9/2], [0, 0]]]], [[8, 15, 6, 3, 4], [v = 1, 3^(1/2) < u, x
= 0, And(-u^2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [0
, 0], [-9/2, -9/2], [2224365/1048576, 1112183/524288]]]], [[8, 15, 6, 3, 5], [
v = 1, 3^(1/2) < u, x = 0, And(-u^2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [0, 0], [-9/2, -9/2], [4, 4]]]], [[9, 6, 2, 2,
1], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y = 0, z < -1], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [0, 0], [-2, -2]]]], [[9, 6, 2, 2, 2], [And(1 < v,v < 2^(1/2)), u = -v, x
= -1, y = 0, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[9, 6, 2,
2, 3], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[9, 6, 2, 2, 4], [And(1 < v,v
< 2^(1/2)), u = -v, x = -1, y = 0, z = 1], [regular_chain, [[1265743/1048576,
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [1,
1]]]], [[9, 6, 2, 2, 5], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y = 0, 1 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [2, 2]]]], [[9, 7, 10, 3, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2+
v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3949363/4194304, -3949363/4194304], [1, 1], [-2, -2], [-2, -2]]]], [[9, 7
, 10, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, 
And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1
], [-2, -2], [-1, -1]]]], [[9, 7, 10, 3, 3], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), And(-(-y-1)^(
1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-2, -2], [0, 0]]]], [
[9, 7, 10, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1
], [-2, -2], [1, 1]]]], [[9, 7, 10, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u
,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), (-y-1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-2, -2], [2, 2]]]], [[9, 9, 3, 9, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [4, 4], [0, 0]]]], [[9
, 10, 8, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y < -3, z <
-(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[9, 10, 8, 1, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[9, 10,
8, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y < -3, And(-(-y-\
1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[9, 10, 8, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
= 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[9, 10, 8, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [-4, -4], [3, 3]]]]
, [[9, 16, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, And(1-
x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [2, 2], [-1/2, -1/2], [0, 0]]]], [[10, 1, 3, 3
, 1], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z
< -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-9/2, -9/2], [-7/4, -7/4], [-4, -4]]]], [[10, 1, 3, 3, 2], [v = 2^(1/2), u <
-2, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [-7/
4, -7/4], [-5/2, -5/2]]]], [[10, 1, 3, 3, 3], [v = 2^(1/2), u < -2, And(-u^2+1
< x,x < -1), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [
-7/4, -7/4], [0, 0]]]], [[10, 1, 3, 3, 4], [v = 2^(1/2), u < -2, And(-u^2+1 <
x,x < -1), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [-7/4, -7/4], [5/2, 5
/2]]]], [[10, 1, 3, 3, 5], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(-
u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-9/2, -9/2], [-7/4, -7/4], [4, 4]]]], [[10, 5, 4,
1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y < -u^2+2, z < -(1-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-1, -1], [-2, -2], [-3, -3]]]], [[10, 5, 4, 1, 2], [v = 2^
(1/2), And(-3^(1/2) < u,u < -v), x = -1, y < -u^2+2, z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[10, 5
, 4, 1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y < -u^2+2, And(-(
1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [-2, -2], [-1/
4194304, -1/4194304]]]], [[10, 5, 4, 1, 4], [v = 2^(1/2), And(-3^(1/2) < u,u <
-v), x = -1, y < -u^2+2, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [-2, -2], [
908093/524288, 1816187/1048576]]]], [[10, 5, 4, 1, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), x = -1, y < -u^2+2, (1-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1
], [-2, -2], [3, 3]]]], [[10, 7, 1, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), x
< u^2-3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [-3, -3]]]],
[[10, 7, 1, 2, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y = 0, z = -(-
x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[10, 7, 1, 2, 3], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[10, 7, 1, 2, 4], [v = 2^(1/2), And(-v < u,u < -1),
x < u^2-3, y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [908093/
524288, 1816187/1048576]]]], [[10, 7, 1, 2, 5], [v = 2^(1/2), And(-v < u,u < -\
1), x < u^2-3, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [3,
3]]]], [[10, 12, 9, 6, 1], [v = 2^(1/2), u = 1, 1 < x, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [0, 0], [0,
0]]]], [[10, 14, 4, 1, 1], [v = 2^(1/2), u = v, x = 0, y < -1, z < -(-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [-3, -3]]]], [[10, 14, 4, 1, 2], [v = 2^(1/2), u =
v, x = 0, y < -1, z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1482911/
1048576, -741455/524288]]]], [[10, 14, 4, 1, 3], [v = 2^(1/2), u = v, x = 0, y
< -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0]]]
], [[10, 14, 4, 1, 4], [v = 2^(1/2), u = v, x = 0, y < -1, z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[10, 14, 4,
1, 5], [v = 2^(1/2), u = v, x = 0, y < -1, (-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [0, 0], [-2
, -2], [3, 3]]]], [[11, 2, 3, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3
< x,x < -1), And(-x < y,y < 1-x), z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-2, -2], [5/2, 5/2], [0, 0]]]], [[11, 3, 8, 3, 1],
[2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-\
2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576],
[-116841131/67108864, -116841131/67108864], [-3, -3]]]], [[11, 3, 8, 3, 2], [2
^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3
, 3], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [
-116841131/67108864, -116841131/67108864], [-1170947/1048576, -585473/524288]]
]], [[11, 3, 8, 3, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1
/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576
, -3396811/1048576], [129511/262144, 518045/1048576], [-116841131/67108864, -\
116841131/67108864], [0, 0]]]], [[11, 3, 8, 3, 4], [2^(1/2) < v, And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^
2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [129511/262144, 518045/1048576], [-116841131/67108864, -\
116841131/67108864], [585473/524288, 1170947/1048576]]]], [[11, 3, 8, 3, 5], [
2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2
*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3
, 3], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [
-116841131/67108864, -116841131/67108864], [3, 3]]]], [[11, 9, 11, 7, 1], [2^(
1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < 0), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-391029/524288, -391029/524288], [0, 0]]]], [[11, 11, 5, 3,
1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0)
, And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0,
0], [-1/2, -1/2], [-19/4, -19/4], [-4, -4]]]], [[11, 11, 5, 3, 2], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x
-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1/2, -1/
2], [-19/4, -19/4], [-1201295/524288, -2402589/1048576]]]], [[11, 11, 5, 3, 3]
, [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0),
And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-19/4, -19/4], [0, 0]]]], [[11,
11, 5, 3, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1
< x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3
, 3], [0, 0], [-1/2, -1/2], [-19/4, -19/4], [2402589/1048576, 1201295/524288]]
]], [[11, 11, 5, 3, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-19/4, -19/4], [4, 4]]]], [[11,
15, 5, 8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+
v^2-1), y = -x, z < 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [391287/524288, 391287/524288], [-\
1, -1]]]], [[11, 15, 5, 8, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And
(-1 < x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [391287/524288, 
391287/524288], [0, 0]]]], [[11, 15, 5, 8, 3], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
391287/524288, 391287/524288], [1, 1]]]], [[11, 17, 3, 2, 1], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-2614535/2097152, -2614535/2097152], [-64673/262144, -258691/1048576], [-3,
-3]]]], [[11, 17, 3, 2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u
^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-64673/262144, -258691/1048576], [-1281417/1048576, -160177
/131072]]]], [[11, 17, 3, 2, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
-2614535/2097152, -2614535/2097152], [-64673/262144, -258691/1048576], [0, 0]]
]], [[11, 17, 3, 2, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [
-64673/262144, -258691/1048576], [160177/131072, 1281417/1048576]]]], [[11, 17
, 3, 2, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-64673/
262144, -258691/1048576], [3, 3]]]], [[1, 1, 7, 1, 1], [v < -2^(1/2), u < -(v^
2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-19, -19], [-6, -6]]]], [[1,
1, 7, 1, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2
-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-\
19, -19], [-281881/65536, -4510095/1048576]]]], [[1, 1, 7, 1, 3], [v < -2^(1/2
), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-19, -\
19], [0, 0]]]], [[1, 1, 7, 1, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x
,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [1/2, 1/2], [-19, -19], [4510095/1048576, 281881/65536]]]], [[1, 1, 7, 1,
5], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x
-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [-19, -19], [
6, 6]]]], [[1, 2, 9, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y = -x-3
, z < -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576
], [2, 2], [-5, -5], [-3, -3]]]], [[1, 2, 9, 2, 2], [v < -2^(1/2), u = -(v^2+2
)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/
2097152]]]], [[1, 2, 9, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y = -
x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[1,
2, 9, 2, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [-5, -\
5], [908093/524288, 1816187/1048576]]]], [[1, 2, 9, 2, 5], [v < -2^(1/2), u =
-(v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-5, -5], [3, 3]]]], [[1, 9, 3, 8,
1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [2372417/
1048576, 1186209/524288], [0, 0]]]], [[1, 10, 5, 7, 1], [v < -2^(1/2), u = -(v
^2-2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [
[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1, 1], [0, 0]]]
], [[1, 14, 6, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y <
0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [0, 0], [-1, -1], [-2, -2]]]], [[1, 14, 6, 3, 2], [v < -2^(1/2), u =
(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-\
3, -3], [741455/262144, 2965821/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[1,
14, 6, 3, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [0, 0], [-1, -1], [0, 0]]]], [[1, 14, 6, 3, 4], [v < -2^(1/2
), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [0, 0], [-1, -1],
[1, 1]]]], [[1, 14, 6, 3, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, And(-2
< y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [0, 0], [-1, -1], [2, 2]]]], [[1, 15, 11, 3, 1], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1
), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [-3, -3], [-2, -2]]]], [[1, 15, 11, 3, 2], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152
], [2, 2], [-3, -3], [-1, -1]]]], [[1, 15, 11, 3, 3], [v < -2^(1/2), And((v^2-\
1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [2, 2], [-3, -3], [0, 0]]]], [[1, 15, 11, 3, 4], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1
), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [-3, -3], [1, 1]]]], [[1, 15, 11, 3, 5], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y
)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
2, 2], [-3, -3], [2, 2]]]], [[2, 1, 1, 9, 1], [v = -2^(1/2), u < -2, x < -u^2+
1, u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [-9, -9], [16, 16], [0, 0]]]], [[2, 2, 4, 1, 1], [v = -2^(1/2), u = -\
2, x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-1, -1], [-3, -3], [-3, -3]]]], [[2, 2, 4, 1, 2], [
v = -2^(1/2), u = -2, x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-3, -3], [-2, -2]]]], [
[2, 2, 4, 1, 3], [v = -2^(1/2), u = -2, x = -1, y < -2, And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2]
, [-1, -1], [-3, -3], [0, 0]]]], [[2, 2, 4, 1, 4], [v = -2^(1/2), u = -2, x =
-1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [-3, -3], [2, 2]]]], [[2, 2, 4, 1, 5], [v = -2^(1
/2), u = -2, x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [-3, -3], [3, 3]]]], [[2, 9, 9,
2, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = u^2-x-3, z
< -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2
, -1/2], [7/8, 7/8], [-29/8, -29/8], [-3, -3]]]], [[2, 9, 9, 2, 2], [v = -2^(1
/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = u^2-x-3, z = -(-u^2+3)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7
/8], [-29/8, -29/8], [-1738867/1048576, -3477733/2097152]]]], [[2, 9, 9, 2, 3]
, [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = u^2-x-3, And(-(
-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [7/8, 7/8], [-29/8, -29/8], [-1/4194304, -1/
4194304]]]], [[2, 9, 9, 2, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 <
x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [-29/8, -29/8], [869433/524288, 
1738867/1048576]]]], [[2, 9, 9, 2, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(-
u^2+1 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [-29/8, -29/8], [3, 3]]]]
, [[2, 11, 2, 1, 1], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, y < 0, z < -(
-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1
/2], [-11/4, -11/4], [-1, -1], [-3, -3]]]], [[2, 11, 2, 1, 2], [v = -2^(1/2),
And(0 < u,u < 1), x = u^2-3, y < 0, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [-1, -1], [-\
8122235/4194304, -16244469/8388608]]]], [[2, 11, 2, 1, 3], [v = -2^(1/2), And(
0 < u,u < 1), x = u^2-3, y < 0, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -\
11/4], [-1, -1], [-5/16777216, -5/16777216]]]], [[2, 11, 2, 1, 4], [v = -2^(1/
2), And(0 < u,u < 1), x = u^2-3, y < 0, z = (-u^2-y+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [-1, -1], [
1015279/524288, 2030559/1048576]]]], [[2, 11, 2, 1, 5], [v = -2^(1/2), And(0 <
u,u < 1), x = u^2-3, y < 0, (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [-1, -1], [3, 3]]]], [[2
, 17, 5, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(
-x < y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1554043/2097152, 
1554043/2097152], [0, 0]]]], [[2, 18, 7, 8, 1], [v = -2^(1/2), u = 2, And(0 <
x,x < 1), y = 1-x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[3, 3, 7, 3, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1
), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/2097152, 501965/2097152], [-3101083/2097152, -3101083/2097152], [-3, -3
]]]], [[3, 3, 7, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-\
3101083/2097152, -3101083/2097152], [-583671/524288, -1167341/1048576]]]], [[3
, 3, 7, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [-3101083/2097152, -3101083/2097152], [0, 0]]]], [[3, 3, 7, 3, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 <
x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [-3101083/2097152, -\
3101083/2097152], [1167341/1048576, 583671/524288]]]], [[3, 3, 7, 3, 5], [And(
-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x
< u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[501965/2097152, 501965/2097152], [-3101083/2097152, -3101083/2097152], [3, 3]
]]], [[3, 5, 2, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [0, 0], [-3, -3]]]], [[3, 5, 2, 2, 2], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [0, 0], [-\
1270261/1048576, -317565/262144]]]], [[3, 5, 2, 2, 3], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/
2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/
262144], [0, 0], [0, 0]]]], [[3, 5, 2, 2, 4], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [0, 0], [317565/262144,
1270261/1048576]]]], [[3, 5, 2, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [0, 0], [3, 3]]]], [[3,
11, 5, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1
< x,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [374737/524288, 374737/524288], [-1, -1]]]], [[3, 11, 5, 8, 2], [And(
-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1
), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [374737/
524288, 374737/524288], [0, 0]]]], [[3, 11, 5, 8, 3], [And(-2^(1/2) < v,v < -1
), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [-374737/524288, -374737/524288], [374737/524288, 374737/524288], [
1, 1]]]], [[3, 13, 2, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)
^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [2519283/
2097152, 2519283/2097152], [-2, -2]]]], [[3, 13, 2, 5, 2], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y <
u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [2519283/2097152, 2519283/2097152], [-541047/1048576, -\
1082093/2097152]]]], [[3, 13, 2, 5, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(
u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/
262144, -1538811/1048576], [2519283/2097152, 2519283/2097152], [-1/4194304, -1
/4194304]]]], [[3, 13, 2, 5, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^
2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-
y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [2519283/
2097152, 2519283/2097152], [270523/524288, 541047/1048576]]]], [[3, 13, 2, 5,
5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1,
And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [2519283/2097152, 2519283/2097152], [2, 2]]]
], [[3, 14, 4, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y
= 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [-1, -1], [0, 0], [-2, -2]]]], [[3, 14, 4, 4, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1, -1], [0, 0], [-1, -1]]]], [[3, 14, 4, 4, 3], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1,
-1], [0, 0], [0, 0]]]], [[3, 14, 4, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^2
+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1643659/1048576, 410915/262144], [-1, -1], [0, 0], [1, 1]]]], [[3,
14, 4, 4, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y = 0, 1 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-1, -1], [0, 0], [2, 2]]]], [[3, 15, 9, 8, 1], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1
), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [0, 0], [0, 0
]]]], [[4, 4, 5, 1, 1], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), y < -x-2, z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[4, 4, 5, 1, 2], [v = -1, u = -2^(1/2
), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[4, 4, 5, 1, 3], [v = -1, u = -2^(1/2), And(-1 < x,x < 0)
, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[4,
4, 5, 1, 4], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1
/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1
/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[4, 4, 5, 1, 5], [v = -1,
u = -2^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [-3, -3], [3, 3]]
]], [[4, 5, 10, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(-u^2-1 <
y,y < u^2-3), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [1, 1], [-8388607/4194304, -8388607/4194304], [-2, -2]]]]
, [[4, 5, 10, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(-u^2-1 < y,
y < u^2-3), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [1, 1], [-8388607/4194304, -8388607/4194304], [-8388607/
8388608, -4398045986815/4398046511104]]]], [[4, 5, 10, 3, 3], [v = -1, And(-2^
(1/2) < u,u < -1), x = 1, And(-u^2-1 < y,y < u^2-3), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [1, 1], [-8388607/4194304, -8388607/4194304], [-3670015/8796093022208, -\
3670015/8796093022208]]]], [[4, 5, 10, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1
), x = 1, And(-u^2-1 < y,y < u^2-3), z = (-y-1)^(1/2)], [regular_chain, [[-1,
-1], [-1265743/1048576, -1265743/1048576], [1, 1], [-8388607/4194304, -8388607
/4194304], [1048575/1048576, 1]]]], [[4, 5, 10, 3, 5], [v = -1, And(-2^(1/2) <
u,u < -1), x = 1, And(-u^2-1 < y,y < u^2-3), (-y-1)^(1/2) < z], [regular_chain
, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-8388607/4194304,
-8388607/4194304], [2, 2]]]], [[4, 10, 4, 5, 1], [v = -1, u = 1, x = 0, 0 < y,
z = z], [regular_chain, [[-1, -1], [1, 1], [0, 0], [1, 1], [0, 0]]]], [[4, 11,
11, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(u^2-x-2 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [2, 2], [-4763569/2097152, -4763569/2097152], [-2, -2]]]], [[4, 11, 11, 5,
2], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(u^2-x-2 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2,
2], [-4763569/2097152, -4763569/2097152], [-273157/524288, -1092627/2097152]]]
], [[4, 11, 11, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(u^2-x-2 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [2, 2], [-4763569/2097152, -4763569/
2097152], [-1/4194304, -1/4194304]]]], [[4, 11, 11, 5, 4], [v = -1, And(1 < u,
u < 2^(1/2)), 1 < x, And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
4763569/2097152, -4763569/2097152], [546313/1048576, 273157/524288]]]], [[4, 
11, 11, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, And(u^2-x-2 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [2, 2], [-4763569/2097152, -4763569/2097152], [2, 2]]]], [[5, 2, 7,
8, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = 1-x, z =
z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [1/2, 1/2], [0, 0
]]]], [[5, 3, 11, 9, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [2, 2], [1, 1], [0, 0]]]], [[5, 11, 9, 4, 1], [And(-1
< v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1)
, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144
], [1534619/2097152, 1534619/2097152], [-1534619/2097152, -1534619/2097152], [
-1, -1]]]], [[5, 11, 9, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/
2, -1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152],
[-1534619/2097152, -1534619/2097152], [0, 0]]]], [[5, 11, 9, 4, 3], [And(-1 <
v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[1534619/2097152, 1534619/2097152], [-1534619/2097152, -1534619/2097152], [1,
1]]]], [[5, 13, 2, 3, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-\
1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [3, 3], [-39/4, -39/4], [39/8, 39/8], [-4, -4]]]], [[5, 13, 2, 3, 2],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1
), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -\
39/4], [39/8, 39/8], [-1157597/524288, -2315193/1048576]]]], [[5, 13, 2, 3, 3]
, [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2
+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [
[-1/2, -1/2], [3, 3], [-39/4, -39/4], [39/8, 39/8], [0, 0]]]], [[5, 13, 2, 3,
4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v
^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4
, -39/4], [39/8, 39/8], [2315193/1048576, 1157597/524288]]]], [[5, 13, 2, 3, 5
], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^
2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4,
-39/4], [39/8, 39/8], [4, 4]]]], [[6, 5, 9, 8, 1], [v = 0, And(-1 < u,u < 0),
And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2,
1/2], [0, 0], [0, 0]]]], [[6, 7, 6, 3, 1], [v = 0, And(0 < u,u < 1), x = u^2-1
, And(-2*u^2 < y,y < 0), z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2
, 1/2], [-3/4, -3/4], [-1/4, -1/4], [-2, -2]]]], [[6, 7, 6, 3, 2], [v = 0, And
(0 < u,u < 1), x = u^2-1, And(-2*u^2 < y,y < 0), z = -(-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-1/4, -1/4], [-1, -1]]]], [
[6, 7, 6, 3, 3], [v = 0, And(0 < u,u < 1), x = u^2-1, And(-2*u^2 < y,y < 0), 
And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [1/
2, 1/2], [-3/4, -3/4], [-1/4, -1/4], [0, 0]]]], [[6, 7, 6, 3, 4], [v = 0, And(
0 < u,u < 1), x = u^2-1, And(-2*u^2 < y,y < 0), z = (-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-1/4, -1/4], [1, 1]]]], [[6
, 7, 6, 3, 5], [v = 0, And(0 < u,u < 1), x = u^2-1, And(-2*u^2 < y,y < 0), (-u
^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [-1/4,
-1/4], [2, 2]]]], [[6, 11, 7, 5, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), 
And(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-1/4,
-1/4], [0, 0]]]], [[7, 1, 9, 4, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And
(1 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-3, -3],
[35/8, 35/8], [-35/8, -35/8], [-1, -1]]]], [[7, 1, 9, 4, 2], [And(0 < v,v < 1)
, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain
, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-35/8, -35/8], [0, 0]]]], [[7, 1, 9, 4
, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x,
0 < z], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [-35/8, -35/8], [
1, 1]]]], [[7, 7, 11, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(
-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0,
0], [2, 2], [-19/8, -19/8], [-2, -2]]]], [[7, 7, 11, 5, 2], [And(0 < v,v < 1),
And(-v < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-19/8, -19/8], [-1284239/2097152,
-642119/1048576]]]], [[7, 7, 11, 5, 3], [And(0 < v,v < 1), And(-v < u,u < v),
1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-19/8, -19/8], [0, 0]]]], [[7, 7
, 11, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-19
/8, -19/8], [642119/1048576, 80265/131072]]]], [[7, 7, 11, 5, 5], [And(0 < v,v
< 1), And(-v < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-19/8, -19/8], [2, 2]]]], [[7
, 9, 8, 2, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^
2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-736367/524288, -1472733/1048576], [-3, -3
]]]], [[7, 9, 8, 2, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0
, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [-736367/524288, -1472733/1048576],
[-19417/16384, -1242687/1048576]]]], [[7, 9, 8, 2, 3], [And(0 < v,v < 1), And(
v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [0, 0], [-736367/524288, -1472733/1048576], [0, 0]]]], [[7, 9, 8, 2,
4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [0, 0], [-736367/524288, -1472733/1048576], [1242687/1048576, 19417/
16384]]]], [[7, 9, 8, 2, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)),
x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [-736367/524288, -1472733/1048576],
[3, 3]]]], [[7, 11, 1, 9, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[1/2, 1
/2], [343151/262144, 343151/262144], [-4, -4], [6, 6], [0, 0]]]], [[7, 12, 4,
5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [1/2, 1/2], [-2
, -2]]]], [[7, 12, 4, 5, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And
(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1
, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[7, 12, 4, 5, 3],
[And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [
1/2, 1/2], [0, 0]]]], [[7, 12, 4, 5, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[7, 12, 4, 5, 5
], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [1/2, 1/2], [2, 2]]]]
, [[8, 5, 2, 2, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 0, z < u],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [0, 0], [-3, -3]]]], [[8, 5, 2, 2, 2], [v = 1, And(-
2^(1/2) < u,u < -1), x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0]
, [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 2, 2, 3], [v = 1, And(-2^(1
/2) < u,u < -1), x = -u^2, y = 0, And(u < z,z < -u)], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [0,
0], [0, 0]]]], [[8, 5, 2, 2, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y
= 0, z = -u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
-1527887/1048576, -763943/524288], [0, 0], [1265743/1048576, 1265743/1048576]]
]], [[8, 5, 2, 2, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 0, -u <
z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [0, 0], [3, 3]]]], [[8, 6, 6, 1, 1], [v = 1, u = -1,
x = 1, y < -2, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1, 1],
[-3, -3], [-3, -3]]]], [[8, 6, 6, 1, 2], [v = 1, u = -1, x = 1, y < -2, z = -(
-y-1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3, -3], [-1482911/
1048576, -741455/524288]]]], [[8, 6, 6, 1, 3], [v = 1, u = -1, x = 1, y < -2,
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [-1, -1], [
1, 1], [-3, -3], [0, 0]]]], [[8, 6, 6, 1, 4], [v = 1, u = -1, x = 1, y < -2, z
= (-y-1)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3, -3], [741455/
524288, 1482911/1048576]]]], [[8, 6, 6, 1, 5], [v = 1, u = -1, x = 1, y < -2,
(-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [1, 1], [-3, -3], [3, 3]
]]], [[8, 11, 3, 8, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1),
y = -x, z < 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [
-1288231/1048576, -1288231/1048576], [1288231/1048576, 1288231/1048576], [-1,
-1]]]], [[8, 11, 3, 8, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1
), y = -x, z = 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576]
, [-1288231/1048576, -1288231/1048576], [1288231/1048576, 1288231/1048576], [0
, 0]]]], [[8, 11, 3, 8, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -\
1), y = -x, 0 < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1288231/1048576, -1288231/1048576], [1288231/1048576, 1288231/1048576], [
1, 1]]]], [[8, 12, 7, 7, 1], [v = 1, u = 2^(1/2), And(0 < x,x < 1), 0 < y, z =
z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2, 1/2], [1,
1], [0, 0]]]], [[9, 3, 4, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-1, -1], [-3, -3], [-3, -3]]]], [[9, 3, 4, 1, 2], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608
, -14373233/8388608], [-1, -1], [-3, -3], [-2, -2]]]], [[9, 3, 4, 1, 3], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u
^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
-3, -3], [0, 0]]]], [[9, 3, 4, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [-3, -3], [2, 2]]]], [[9, 3, 4, 1, 5], [And(1 < v
,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^
2, (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1, -1], [-3, -3], [3, 3]]]], [[9, 4, 8
, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y = -3, z < -2^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-3, -3], [-3, -3]]]], [[9, 4, 8, 2, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1,
1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[9, 4, 8, 2, 3], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-3, -3], [0, 0]]]], [[9, 4, 8, 2, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1]
, [-3, -3], [741455/524288, 1482911/1048576]]]], [[9, 4, 8, 2, 5], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1
], [-3, -3], [3, 3]]]], [[9, 12, 2, 1, 1], [And(1 < v,v < 2^(1/2)), u = v, x =
-1, y < 0, z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-1, -1], [-3, -3]]]],
[[9, 12, 2, 1, 2], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y < 0, z = -(1-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576,
1265743/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [
[9, 12, 2, 1, 3], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y < 0, And(-(1-y)^(1
/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1265743/1048576, 1265743/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[9, 12,
2, 1, 4], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y < 0, z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[9, 12, 2,
1, 5], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y < 0, (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [-1, -1], [3, 3]]]], [[9, 13, 10, 2, 1], [And(1 < v,v < 2^
(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [1, 1], [-646847/262144, -2587387/1048576], [-3, -3]]]], [[9
, 13, 10, 2, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1,
y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-646847/262144,
-2587387/1048576], [-1270261/1048576, -317565/262144]]]], [[9, 13, 10, 2, 3],
[And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-\
646847/262144, -2587387/1048576], [0, 0]]]], [[9, 13, 10, 2, 4], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [-646847/262144, -2587387/1048576], [317565
/262144, 1270261/1048576]]]], [[9, 13, 10, 2, 5], [And(1 < v,v < 2^(1/2)), And
(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1, 1], [-646847/262144, -2587387/1048576], [3, 3]]]], [[10, 2, 5, 6
, 1], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [1/2, 1/2], [-1, -1
]]]], [[10, 2, 5, 6, 2], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y = -x, z =
0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2],
[1/2, 1/2], [0, 0]]]], [[10, 2, 5, 6, 3], [v = 2^(1/2), u = -2, And(-1 < x,x <
0), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2
], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10, 3, 10, 4, 1], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [-1, -1], [-1,
-1]]]], [[10, 3, 10, 4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y =
-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [1, 1], [-1, -1], [0, 0]]]], [[10, 3, 10, 4, 3], [
v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = -1, 0 < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [1, 1
], [-1, -1], [1, 1]]]], [[10, 8, 4, 4, 1], [v = 2^(1/2), u = -1, x = -1, y = 0
, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -\
1], [0, 0], [-2, -2]]]], [[10, 8, 4, 4, 2], [v = 2^(1/2), u = -1, x = -1, y =
0, z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1,
-1], [0, 0], [-1, -1]]]], [[10, 8, 4, 4, 3], [v = 2^(1/2), u = -1, x = -1, y =
0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-1, -1], [0, 0], [0, 0]]]], [[10, 8, 4, 4, 4], [v = 2^(1/2), u = -1, x =
-1, y = 0, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1]
, [-1, -1], [0, 0], [1, 1]]]], [[10, 8, 4, 4, 5], [v = 2^(1/2), u = -1, x = -1
, y = 0, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-1, -1], [0, 0], [2, 2]]]], [[10, 9, 10, 3, 1], [v = 2^(1/2), And(-1 < u,u <
0), x = 1, And(u^2-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [-19/8, -19/8], [-3, -3]]]],
[[10, 9, 10, 3, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [1, 1], [-19/8, -19/8], [-1229565/1048576, -307391/262144]]]], [[
10, 9, 10, 3, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y < -1
), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [1, 1], [-19/8, -19/8], [0, 0]]]], [[10, 9, 10
, 3, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y < -1), z = (-
y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[1, 1], [-19/8, -19/8], [307391/262144, 1229565/1048576]]]], [[10, 9, 10, 3, 5
], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(u^2-4 < y,y < -1), (-y-1)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1],
[-19/8, -19/8], [3, 3]]]], [[10, 15, 11, 5, 1], [v = 2^(1/2), And(v < u,u < 3^
(1/2)), 1 < x, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [
-2372537/1048576, -2372537/1048576], [-2, -2]]]], [[10, 15, 11, 5, 2], [v = 2^
(1/2), And(v < u,u < 3^(1/2)), 1 < x, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [2, 2], [-2372537/1048576, -2372537/1048576], [-268683/
524288, -1074731/2097152]]]], [[10, 15, 11, 5, 3], [v = 2^(1/2), And(v < u,u <
3^(1/2)), 1 < x, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [2, 2], [-2372537/1048576, -2372537/1048576], [-1/4194304, -\
1/4194304]]]], [[10, 15, 11, 5, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 <
x, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [2, 2], [-2372537/
1048576, -2372537/1048576], [537365/1048576, 268683/524288]]]], [[10, 15, 11,
5, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, And(u^2-x-3 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [2, 2], [-2372537/1048576, -2372537/1048576], [2, 2
]]]], [[10, 17, 7, 1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x <
u^2-3), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [505467/2097152, 505467/
2097152], [-4, -4], [-3, -3]]]], [[10, 17, 7, 1, 2], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), And(0 < x,x < u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [-4, -4], [-32527793/16777216, -\
2032987/1048576]]]], [[10, 17, 7, 1, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(0 < x,x < u^2-3), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [-4, -4], [0, 0]]]], [[10, 17, 7,
1, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(0 < x,x < u^2-3), y < -u^2-x+
1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [505467/2097152, 505467/2097152], [-4, -4],
[2032987/1048576, 508247/262144]]]], [[10, 17, 7, 1, 5], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), And(0 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [505467/2097152, 505467/2097152], [-4, -4], [3, 3]]]], [[10, 18, 7,
6, 1], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [0, 0], [0, 0]]]], [[11,
1, 1, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z < -(-x
)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [0, 0], [-6, -6]]]],
[[11, 1, 1, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [0, 0], [-\
1112183/262144, -4448731/1048576]]]], [[11, 1, 1, 2, 3], [2^(1/2) < v, u < -(v
^2+2)^(1/2), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [-18, -18], [0, 0], [0, 0]]]], [[11, 1, 1, 2
, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)]
, [regular_chain, [[3, 3], [-5, -5], [-18, -18], [0, 0], [4448731/1048576, 
1112183/262144]]]], [[11, 1, 1, 2, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -
u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [-18, -\
18], [0, 0], [6, 6]]]], [[11, 7, 2, 6, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [
395145/262144, 1580581/1048576], [-1, -1]]]], [[11, 7, 2, 6, 2], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [395145/262144, 1580581/1048576], [0, 0]]]], [[11, 7
, 2, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -
u^2+v^2+1, 0 < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [395145/262144, 1580581/1048576]
, [1, 1]]]], [[11, 8, 6, 3, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, And(-\
2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [0, 0], [-1, -1], [-2, -2]]]], [[11, 8, 6, 3, 2], [2^(1/2)
< v, u = -(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [-1, -1
], [-1, -1]]]], [[11, 8, 6, 3, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, 
And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3,
3], [-2965821/1048576, -11863283/4194304], [0, 0], [-1, -1], [0, 0]]]], [[11,
8, 6, 3, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = (
-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [0
, 0], [-1, -1], [1, 1]]]], [[11, 8, 6, 3, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2)
, x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [0, 0], [-1, -1], [2, 2]]]], [[11, 12, 5,
7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x)
, z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2]
, [1, 1], [0, 0]]]], [[11, 13, 10, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), x = 1, And(-1 < y,y < -u^2+v^2-2), z = z], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-391029/524288, -391029/
524288], [0, 0]]]], [[11, 20, 2, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -\
3, 4 < y, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[-3, -3], [5, 5], [0, 0]]]], [[11, 21, 7, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) <
u, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [5, 5
], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[1, 4, 3, 3, 1], [v < -2^(1/2), u = -
(v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1
/4, -1/4], [-3, -3]]]], [[1, 4, 3, 3, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1/4, -1/4], [-\
10837/8192, -1387135/1048576]]]], [[1, 4, 3, 3, 3], [v < -2^(1/2), u = -(v^2+1
)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-\
3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[1, 4, 3, 3, 4], [v < -2^(1/2), u = -(v^
2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2], [-1
/4, -1/4], [1387135/1048576, 10837/8192]]]], [[1, 4, 3, 3, 5], [v < -2^(1/2),
u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2, -3/2],
[-1/4, -1/4], [3, 3]]]], [[1, 5, 9, 4, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) <
u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
1055481/1048576, -131935/131072], [-2, -2]]]], [[1, 5, 9, 4, 2], [v < -2^(1/2)
, And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
1/2, 1/2], [-1055481/1048576, -131935/131072], [-373161/524288, -1492643/
2097152]]]], [[1, 5, 9, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1
)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2,
1/2], [-1055481/1048576, -131935/131072], [-1/4194304, -1/4194304]]]], [[1, 5,
9, 4, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y =
u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [1/2, 1/2], [-1055481/1048576, -131935/131072], [
746321/1048576, 373161/524288]]]], [[1, 5, 9, 4, 5], [v < -2^(1/2), And(-(v^2+
1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z
], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
1055481/1048576, -131935/131072], [2, 2]]]], [[1, 11, 10, 6, 1], [v < -2^(1/2)
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -u^2+v^2-1, y = 0, z = z], [
regular_chain, [[-3, -3], [0, 0], [8, 8], [0, 0], [0, 0]]]], [[1, 13, 4, 4, 1]
, [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, z <
-1], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [0
, 0], [-2, -2]]]], [[1, 13, 4, 4, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-1, -1], [0, 0], [-1, -1]]]], [[1, 13, 4, 4, 3], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, And(-1 <
z,z < 1)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -\
1], [0, 0], [0, 0]]]], [[1, 13, 4, 4, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1, -1], [0, 0], [1, 1]]]], [[1, 13, 4, 4, 5
], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, 1 <
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [0,
0], [2, 2]]]], [[1, 17, 8, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [0, 0], [-1062385/4194304, -1062385/4194304]
, [-2, -2]]]], [[1, 17, 8, 5, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [0, 0], [-1062385/4194304, -1062385/4194304]
, [-527729/1048576, -1055457/2097152]]]], [[1, 17, 8, 5, 3], [v < -2^(1/2), 
And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2
) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [0, 0], [-1062385/4194304, -1062385/4194304], [-1/4194304, -1/4194304
]]]], [[1, 17, 8, 5, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = 0,
And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [0, 0], [-1062385/4194304, -1062385/4194304], [32983/
65536, 527729/1048576]]]], [[1, 17, 8, 5, 5], [v < -2^(1/2), And(-v < u,u < (v
^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [0, 0], [-1062385/4194304, -\
1062385/4194304], [2, 2]]]], [[1, 19, 4, 1, 1], [v < -2^(1/2), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1], [-3, -\
3], [-3, -3]]]], [[1, 19, 4, 1, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[1,
19, 4, 1, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3
], [3396811/1048576, 3396811/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[1, 19,
4, 1, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y <
-u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[1, 19, 4, 1, 5], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/
2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -\
1], [-3, -3], [3, 3]]]], [[2, 3, 9, 2, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), And(u^2-3 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576], [-3, -3]]]
], [[2, 3, 9, 2, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x
< 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [388511/524288, 388511/
524288], [-1689821/524288, -3379641/1048576], [-825991/524288, -3303963/
2097152]]]], [[2, 3, 9, 2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^
2-3 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/
1048576], [-1/4194304, -1/4194304]]]], [[2, 3, 9, 2, 4], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/
1048576], [1651981/1048576, 825991/524288]]]], [[2, 3, 9, 2, 5], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/
1048576], [3, 3]]]], [[2, 5, 4, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = -1, And(0 < y,y < u^2-2), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -1], [
248903/1048576, 248903/1048576], [-2, -2]]]], [[2, 5, 4, 5, 2], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-2), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576], [-3662825/
4194304, -457853/524288]]]], [[2, 5, 4, 5, 3], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x = -1, And(0 < y,y < u^2-2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576], [0, 0]]]], [[2,
5, 4, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2
-2), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576]
, [457853/524288, 915707/1048576]]]], [[2, 5, 4, 5, 5], [v = -2^(1/2), And(-3^
(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-2), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [248903/1048576, 248903/1048576], [2, 2]]]], [[2,
6, 6, 3, 1], [v = -2^(1/2), u = v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -\
741455/524288], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[2, 6, 6, 3, 2], [v = -2^(
1/2), u = v, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1],
[-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[2, 6, 6, 3, 3], [v = -
2^(1/2), u = v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576,
-741455/524288], [1, 1], [-3/2, -3/2], [0, 0]]]], [[2, 6, 6, 3, 4], [v = -2^(1
/2), u = v, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1],
[-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[2, 6, 6, 3, 5], [v = -2^(1/2
), u = v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1],
[-3/2, -3/2], [2, 2]]]], [[2, 8, 2, 3, 1], [v = -2^(1/2), u = -1, x = -2, And(
0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-2, -2], [1, 1], [-2, -2]]]], [[2, 8, 2, 3, 2], [v = -2^(1
/2), u = -1, x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [1, 1], [-1, -1]]]], [[2
, 8, 2, 3, 3], [v = -2^(1/2), u = -1, x = -2, And(0 < y,y < 2), And(-(2-y)^(1/
2) < z,z < (2-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [-2, -2], [1, 1], [0, 0]]]], [[2, 8, 2, 3, 4], [v = -2^(1/2), u = -1
, x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-2, -2], [1, 1], [1, 1]]]], [[2, 8, 2, 3,
5], [v = -2^(1/2), u = -1, x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [1, 1]
, [2, 2]]]], [[2, 14, 2, 2, 1], [v = -2^(1/2), u = -v, x = -1, y = 0, z < -1],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[2, 14, 2, 2, 2], [v = -2^(1/2), u =
-v, x = -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288
], [741455/524288, 1482911/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[2, 14, 2
, 2, 3], [v = -2^(1/2), u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[2, 14, 2, 2, 4], [v = -2^(1/2), u = -
v, x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-1, -1], [0, 0], [1, 1]]]], [[2, 14, 2, 2,
5], [v = -2^(1/2), u = -v, x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1], [0, 0],
[2, 2]]]], [[2, 15, 10, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1,
And(-u^2 < y,y < u^2-4), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-\
8388607/4194304, -8388607/4194304], [-2, -2]]]], [[2, 15, 10, 3, 2], [v = -2^(
1/2), And(-v < u,u < 3^(1/2)), x = 1, And(-u^2 < y,y < u^2-4), z = -(-y-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [1, 1], [-8388607/4194304, -8388607/4194304], [-8388607/
8388608, -4398045986815/4398046511104]]]], [[2, 15, 10, 3, 3], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), x = 1, And(-u^2 < y,y < u^2-4), And(-(-y-1)^(1/2) < z
,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [1, 1], [-8388607/4194304, -8388607/4194304
], [-3670015/8796093022208, -3670015/8796093022208]]]], [[2, 15, 10, 3, 4], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, And(-u^2 < y,y < u^2-4), z = (-y-1
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1, 1], [-8388607/4194304, -8388607/4194304], [
1048575/1048576, 1]]]], [[2, 15, 10, 3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), x = 1, And(-u^2 < y,y < u^2-4), (-y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1, 1],
[-8388607/4194304, -8388607/4194304], [2, 2]]]], [[2, 19, 10, 6, 1], [v = -2^(
1/2), 2 < u, x = u^2-3, y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3, 3], [6, 6], [0, 0], [0, 0]]]], [[3, 2, 2, 2, 1], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [0, 0], [-3, -3]]]], [[3, 2, 2, 2, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y = 0, z = -3^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[3, 2, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, y = 0,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [0, 0], [-1/4194304,
-1/4194304]]]], [[3, 2, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2
), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [0, 0], [908093/
524288, 1816187/1048576]]]], [[3, 2, 2, 2, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [0
, 0], [3, 3]]]], [[3, 8, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/
2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1/2
, 1/2], [-2, -2]]]], [[3, 8, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -\
1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[3, 8, 4, 5, 3], [And
(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1/2, 1/2], [0, 0]]]],
[[3, 8, 4, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(0
< y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[3, 8, 4, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v
^2-1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -\
1], [1/2, 1/2], [2, 2]]]], [[3, 9, 10, 4, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-1, -1], [-1, -1]]]], [
[3, 9, 10, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-1, -1], [0, 0]]]], [[3, 9, 10, 4, 3], [And(-2^(1/2
) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -1, 0 < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-1,
-1], [1, 1]]]], [[3, 17, 3, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [8433585/1048576, 8433585/1048576], [0, 0]]]], [[
4, 1, 6, 1, 1], [v = -1, u < -3^(1/2), x = 0, y < -u^2, z < -(-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [0, 0], [-10, -10], [-5, -5]]]], [[4, 1, 6
, 1, 2], [v = -1, u < -3^(1/2), x = 0, y < -u^2, z = -(-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [0, 0], [-10, -10], [-3315889/1048576, -\
207243/65536]]]], [[4, 1, 6, 1, 3], [v = -1, u < -3^(1/2), x = 0, y < -u^2, 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [0,
0], [-10, -10], [0, 0]]]], [[4, 1, 6, 1, 4], [v = -1, u < -3^(1/2), x = 0, y <
-u^2, z = (-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [-10, -10]
, [207243/65536, 3315889/1048576]]]], [[4, 1, 6, 1, 5], [v = -1, u < -3^(1/2),
x = 0, y < -u^2, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [0, 0],
[-10, -10], [5, 5]]]], [[4, 7, 7, 5, 1], [v = -1, And(-1 < u,u < 0), And(-u^2
< x,x < 0), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16], [-2, -2]]]], [[4, 7, 7, 5, 2],
[v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), z = -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -\
1/16], [-454047/1048576, -227023/524288]]]], [[4, 7, 7, 5, 3], [v = -1, And(-1
< u,u < 0), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [-1
/16, -1/16], [0, 0]]]], [[4, 7, 7, 5, 4], [v = -1, And(-1 < u,u < 0), And(-u^2
< x,x < 0), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16], [227023/524288, 454047/1048576]
]]], [[4, 7, 7, 5, 5], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(-u
^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [
-1/8, -1/8], [-1/16, -1/16], [2, 2]]]], [[4, 9, 3, 1, 1], [v = -1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), y < u^2-x-2, z < -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-2, -2], [-3, -3]]]], [[4, 9, 3, 1, 2]
, [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y < u^2-x-2, z = -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-2, -2], [-\
7705429/4194304, -1926357/1048576]]]], [[4, 9, 3, 1, 3], [v = -1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-2, -2], [0, 0]]
]], [[4, 9, 3, 1, 4], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y < u^
2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8
], [-2, -2], [1926357/1048576, 963179/524288]]]], [[4, 9, 3, 1, 5], [v = -1, 
And(0 < u,u < 1), And(u^2-2 < x,x < -1), y < u^2-x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-2, -2], [3, 3]]]], [[4
, 13, 7, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y
= -x, z < 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
497805/2097152, 497805/2097152], [-248903/1048576, -124451/524288], [-1, -1]]]
], [[4, 13, 7, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2
-2), y = -x, z = 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [497805/2097152, 497805/2097152], [-248903/1048576, -124451/524288],
[0, 0]]]], [[4, 13, 7, 4, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x
,x < u^2-2), y = -x, 0 < z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [497805/2097152, 497805/2097152], [-248903/1048576, -124451/
524288], [1, 1]]]], [[4, 14, 9, 9, 1], [v = -1, u = 3^(1/2), 1 < x, 0 < y, z =
z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [1, 1
], [0, 0]]]], [[5, 5, 7, 6, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(u^2-v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [0, 0], [-2, -2]]]], [[5, 5, 7, 6, 2], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [0, 0], [-1144335/2097152, -572167/1048576]]]], [[
5, 5, 7, 6, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2
-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837
/4194304], [0, 0], [0, 0]]]], [[5, 5, 7, 6, 4], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [0, 0], [572167/1048576, 71521/131072]]]], [[5, 5,
7, 6, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x
,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [0, 0], [2,
2]]]], [[5, 7, 4, 7, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(-u
^2+v^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
-1, -1], [5/8, 5/8], [-2, -2]]]], [[5, 7, 4, 7, 2], [And(-1 < v,v < 0), And(v
< u,u < -v), x = -1, And(-u^2+v^2 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [5/8, 5/8], [-1284239/2097152,
-642119/1048576]]]], [[5, 7, 4, 7, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = -1, And(-u^2+v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [5/8, 5/8], [0, 0]]]], [[5, 7,
4, 7, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = -1, And(-u^2+v^2 < y,y <
1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [5/8, 5
/8], [642119/1048576, 80265/131072]]]], [[5, 7, 4, 7, 5], [And(-1 < v,v < 0),
And(v < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [5/8, 5/8], [2, 2]]]], [[5, 8,
6, 7, 1], [And(-1 < v,v < 0), u = -v, x = 1, 0 < y, z = z], [regular_chain, [[
-1/2, -1/2], [1/2, 1/2], [1, 1], [1, 1], [0, 0]]]], [[5, 10, 3, 2, 1], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[-1/2, -1/2], [-3, -3]]]], [[5, 10, 3, 2, 2], [And(-1 < v,v < 0), u = (v^2+1)^
(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1/2, -1
/2], [1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[5, 10, 3, 2, 3], [And(-1 < v,v < 0), u = (v^2+1
)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[-1/2, -1/2], [0, 0]]]], [[5, 10, 3, 2, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1
/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/2, -1/2], [741455/524288
, 1482911/1048576]]]], [[5, 10, 3, 2, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2
), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[6,
2, 9, 4, 1], [v = 0, u = -2^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1, -1]]]], [[6, 2,
9, 4, 2], [v = 0, u = -2^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[0, 0]
, [-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [0, 0]]]], [[6, 2, 9,
4, 3], [v = 0, u = -2^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[0, 0], [
-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [1, 1]]]], [[6, 4, 3, 4,
1], [v = 0, u = -1, And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[6, 4, 3
, 4, 2], [v = 0, u = -1, And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [0, 0], [-1284239/1048576, -\
642119/524288]]]], [[6, 4, 3, 4, 3], [v = 0, u = -1, And(-2 < x,x < -1), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-3
/2, -3/2], [0, 0], [0, 0]]]], [[6, 4, 3, 4, 4], [v = 0, u = -1, And(-2 < x,x <
-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2],
[0, 0], [642119/524288, 1284239/1048576]]]], [[6, 4, 3, 4, 5], [v = 0, u = -1,
And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1],
[-3/2, -3/2], [0, 0], [3, 3]]]], [[6, 8, 9, 1, 1], [v = 0, u = 1, 1 < x, y < -
x-2, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [-5, -5], [-\
3, -3]]]], [[6, 8, 9, 1, 2], [v = 0, u = 1, 1 < x, y < -x-2, z = -(-x-y)^(1/2)
], [regular_chain, [[0, 0], [1, 1], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 8, 9, 1, 3], [v = 0, u = 1, 1 < x, y < -x-2, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1, 1], [2, 2], [-\
5, -5], [-1/4194304, -1/4194304]]]], [[6, 8, 9, 1, 4], [v = 0, u = 1, 1 < x, y
< -x-2, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1, 1], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[6, 8, 9, 1, 5], [v = 0, u = 1, 1 < x, y
< -x-2, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1, 1], [2, 2], [-5, -5],
[3, 3]]]], [[6, 10, 2, 6, 1], [v = 0, u = 2^(1/2), x = -3, y = 4, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-3, -3], [4, 4], [0
, 0]]]], [[7, 4, 9, 3, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, And(-
x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[7, 4, 9, 3, 2], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2,
2], [-3, -3], [-1, -1]]]], [[7, 4, 9, 3, 3], [And(0 < v,v < 1), u = -(v^2+1)^(
1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-3, -\
3], [0, 0]]]], [[7, 4, 9, 3, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x,
And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [2, 2], [-3, -3], [1, 1]]]], [[7, 4, 9, 3, 5], [
And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2
], [-3, -3], [2, 2]]]], [[7, 6, 3, 5, 1], [And(0 < v,v < 1), u = -v, And(-1 <
x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[7, 6, 3, 5, 2], [And(0
< v,v < 1), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1
/2]]]], [[7, 6, 3, 5, 3], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2,
1/2], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[7, 6, 3, 5, 4], [
And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [1/2
, 1/2]]]], [[7, 6, 3, 5, 5], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), And
(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 13, 9, 2, 1], [And(0 < v,v < 1), (v^
2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-113/8, -113/8], [-\
5, -5]]]], [[7, 13, 9, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,
x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [3, 3], [35/8, 35/8], [-113/8, -113/8], [-1637089/524288, -3274177/
1048576]]]], [[7, 13, 9, 2, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-113/8, -113/8],
[0, 0]]]], [[7, 13, 9, 2, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,
x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [3, 3], [35/8, 35/8], [-113/8, -113/8], [3274177/1048576, 1637089/
524288]]]], [[7, 13, 9, 2, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x
,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [3, 3], [35/8, 35/8], [-113/8, -113/8], [5, 5]]]], [[8, 1, 11, 3, 1]
, [v = 1, u < -3^(1/2), u^2-2 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-3, -3], [8, 8], [-25/2, -25/2], [-4, -4]]]], [[8, 1
, 11, 3, 2], [v = 1, u < -3^(1/2), u^2-2 < x, And(-u^2-x < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [8, 8], [-25/2, -25/2], [-\
1112183/524288, -2224365/1048576]]]], [[8, 1, 11, 3, 3], [v = 1, u < -3^(1/2),
u^2-2 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [8, 8], [-25/2, -25/2], [0, 0]]]], [[8, 1, 
11, 3, 4], [v = 1, u < -3^(1/2), u^2-2 < x, And(-u^2-x < y,y < -x), z = (-x-y)
^(1/2)], [regular_chain, [[1, 1], [-3, -3], [8, 8], [-25/2, -25/2], [2224365/
1048576, 1112183/524288]]]], [[8, 1, 11, 3, 5], [v = 1, u < -3^(1/2), u^2-2 <
x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3
], [8, 8], [-25/2, -25/2], [4, 4]]]], [[8, 8, 2, 4, 1], [v = 1, u = 0, x = -2,
y = 2, z < 0], [regular_chain, [[1, 1], [0, 0], [-2, -2], [2, 2], [-1, -1]]]],
[[8, 8, 2, 4, 2], [v = 1, u = 0, x = -2, y = 2, z = 0], [regular_chain, [[1, 1
], [0, 0], [-2, -2], [2, 2], [0, 0]]]], [[8, 8, 2, 4, 3], [v = 1, u = 0, x = -\
2, y = 2, 0 < z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [2, 2], [1, 1]]]]
, [[8, 9, 8, 3, 1], [v = 1, And(0 < u,u < 1), x = 0, And(u^2-2 < y,y < -u^2),
z < -(-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1, -1], [-2,
-2]]]], [[8, 9, 8, 3, 2], [v = 1, And(0 < u,u < 1), x = 0, And(u^2-2 < y,y < -
u^2), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-1, -1],
[-1, -1]]]], [[8, 9, 8, 3, 3], [v = 1, And(0 < u,u < 1), x = 0, And(u^2-2 < y,
y < -u^2), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [1/2
, 1/2], [0, 0], [-1, -1], [0, 0]]]], [[8, 9, 8, 3, 4], [v = 1, And(0 < u,u < 1
), x = 0, And(u^2-2 < y,y < -u^2), z = (-y)^(1/2)], [regular_chain, [[1, 1], [
1/2, 1/2], [0, 0], [-1, -1], [1, 1]]]], [[8, 9, 8, 3, 5], [v = 1, And(0 < u,u
< 1), x = 0, And(u^2-2 < y,y < -u^2), (-y)^(1/2) < z], [regular_chain, [[1, 1]
, [1/2, 1/2], [0, 0], [-1, -1], [2, 2]]]], [[8, 14, 1, 8, 1], [v = 1, u = 3^(1
/2), x < -3, y = 1-x, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187
/1048576], [-4, -4], [5, 5], [0, 0]]]], [[8, 15, 5, 9, 1], [v = 1, 3^(1/2) < u
, And(-1 < x,x < 0), u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [3, 3], [-1
/2, -1/2], [9, 9], [0, 0]]]], [[9, 6, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = -
v, x = -1, 1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-1265743/1048576, -1265743/1048576], [-1, -1], [2, 2], [0, 0]]]], [[9, 7, 10,
2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2
-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-5390715/2097152, -\
2695357/1048576], [-3, -3]]]], [[9, 7, 10, 2, 2], [And(1 < v,v < 2^(1/2)), And
(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-5390715/2097152, -2695357/1048576], [-1314069/
1048576, -328517/262144]]]], [[9, 7, 10, 2, 3], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [1, 1], [-5390715/2097152, -2695357/
1048576], [0, 0]]]], [[9, 7, 10, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-5390715/2097152, -2695357/1048576], [328517/262144
, 1314069/1048576]]]], [[9, 7, 10, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,
u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-5390715/2097152, -2695357/1048576], [3, 3]]]], [[9
, 9, 4, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [0, 0], [-1, -1], [-3, -3], [-3, -3]]]], [[9, 9, 4, 1, 2],
[And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y
< u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [-3, -3], [-2, -2]]]], [[9, 9, 4, 1, 3], [And(1 <
v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y < u^2-v^2
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [-3, -3], [0, 0]]]], [[9, 9, 4, 1, 4], [
And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y <
u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [0, 0], [-1, -1], [-3, -3], [2, 2]]]], [[9, 9, 4, 1, 5], [And(1 < v,v < 2^(1
/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y < u^2-v^2, (1-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1
], [-3, -3], [3, 3]]]], [[9, 10, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1
)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2]
, [-1/4, -1/4], [0, 0]]]], [[9, 17, 1, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)
^(1/2) < u, x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-1, -1], [-5, -5]]]],
[[9, 17, 1, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1,
y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [-10, -10], [-1, -1], [-1738867/524288, -3477733/1048576]]]], [[9, 
17, 1, 1, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y <
0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [-10, -10], [-1, -1], [0, 0]]]], [[9, 17, 1, 1, 4]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, z = (-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -\
10], [-1, -1], [3477733/1048576, 1738867/524288]]]], [[9, 17, 1, 1, 5], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [-1,
-1], [5, 5]]]], [[10, 1, 3, 2, 1], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1
), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [-9/2, -9/2], [-7/2, -7/2], [-4, -4]]]], [[10, 1, 3, 2, 2
], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2
], [-7/2, -7/2], [-2965821/1048576, -11863283/4194304]]]], [[10, 1, 3, 2, 3],
[v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3, -3], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608, -3/8388608]]]], [[10, 1, 3, 2
, 4], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9
/2], [-7/2, -7/2], [741455/262144, 2965821/1048576]]]], [[10, 1, 3, 2, 5], [v
= 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [-7/
2, -7/2], [4, 4]]]], [[10, 5, 4, 2, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [-497807/
1048576, -248903/524288], [-3, -3]]]], [[10, 5, 4, 2, 2], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -\
1], [-497807/1048576, -248903/524288], [-636691/524288, -1273381/1048576]]]],
[[10, 5, 4, 2, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = -u^2+2,
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [-497807/
1048576, -248903/524288], [0, 0]]]], [[10, 5, 4, 2, 4], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1
], [-497807/1048576, -248903/524288], [1273381/1048576, 636691/524288]]]], [[
10, 5, 4, 2, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = -u^2+2, (
u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [-497807/1048576, -248903/524288
], [3, 3]]]], [[10, 6, 7, 6, 1], [v = 2^(1/2), u = -v, 1 < x, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [2, 2], [0, 0], [0, 0]]]], [[10, 13, 1, 2, 1], [v = 2^(1/2), And(1 <
u,u < v), x < u^2-3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [-3, -\
3]]]], [[10, 13, 1, 2, 2], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[10, 13, 1, 2, 3], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[10, 13, 1, 2, 4], [v = 2^(1/2), And(1 < u,u < v), x
< u^2-3, y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [908093/524288
, 1816187/1048576]]]], [[10, 13, 1, 2, 5], [v = 2^(1/2), And(1 < u,u < v), x <
u^2-3, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [3, 3]]]], [[
10, 14, 3, 7, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 2, 4, 1, 1], [2^(1/2) < v, u
= -(v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[11, 2,
4, 1, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)],
[regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [-3, -\
3], [-2, -2]]]], [[11, 2, 4, 1, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1,
y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[11, 2, 4,
1, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [-3, -3
], [2, 2]]]], [[11, 2, 4, 1, 5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y <
-2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1, -1], [-3, -3], [3, 3]]]], [[11, 3, 8, 2, 1], [2^(1/2) < v, And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [129511/262144, 518045/1048576], [-200527383/67108864, -100263691/
33554432], [-3, -3]]]], [[11, 3, 8, 2, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/
262144, 518045/1048576], [-200527383/67108864, -100263691/33554432], [-1655969
/1048576, -3311937/2097152]]]], [[11, 3, 8, 2, 3], [2^(1/2) < v, And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-200527383/
67108864, -100263691/33554432], [-1/4194304, -1/4194304]]]], [[11, 3, 8, 2, 4]
, [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y =
-2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-200527383/
67108864, -100263691/33554432], [51749/32768, 1655969/1048576]]]], [[11, 3, 8,
2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1
, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-3396811
/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-200527383/
67108864, -100263691/33554432], [3, 3]]]], [[11, 9, 11, 8, 1], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [0, 0]
, [0, 0]]]], [[11, 11, 4, 9, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[3, 3], [0, 0], [-1
, -1], [10, 10], [0, 0]]]], [[11, 15, 6, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [-1064009/1048576, -133001/131072], [-3, -3]]]], [[11, 15, 6,
2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2
*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [-1064009/1048576, -\
133001/131072], [-1287385/1048576, -160923/131072]]]], [[11, 15, 6, 2, 3], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(
-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-\
1064009/1048576, -133001/131072], [0, 0]]]], [[11, 15, 6, 2, 4], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
129143/262144, -516571/1048576], [-1064009/1048576, -133001/131072], [160923/
131072, 1287385/1048576]]]], [[11, 15, 6, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [-1064009/1048576, -133001/131072], [3, 3]]]], [[11, 17, 3, 1
, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [-3, -3]]]], [
[11, 17, 3, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2],
[-3778779/2097152, -7557557/4194304]]]], [[11, 17, 3, 1, 3], [2^(1/2) < v, And
(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [-1/8388608, -\
1/8388608]]]], [[11, 17, 3, 1, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-2, -2], [1889389/1048576, 944695/524288]]]], [[11, 17, 3,
1, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [3, 3]]]], [[1
, 1, 6, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2
-1), z = z], [regular_chain, [[-3, -3], [-5, -5], [0, 0], [15/2, 15/2], [0, 0]
]]], [[1, 2, 9, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[1, 2, 9, 3, 2], [v < -2
^(1/2), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [-7/2,
-7/2], [-1284239/1048576, -642119/524288]]]], [[1, 2, 9, 3, 3], [v < -2^(1/2),
u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
2, 2], [-7/2, -7/2], [0, 0]]]], [[1, 2, 9, 3, 4], [v < -2^(1/2), u = -(v^2+2)^
(1/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [-1738867/524288, -3477733/1048576], [2, 2], [-7/2, -7/2], [642119/524288,
1284239/1048576]]]], [[1, 2, 9, 3, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 <
x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-7/2, -7/2], [3, 3]]]], [[1, 9, 3,
7, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-\
1 < x,x < -1), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304]
, [4211799/2097152, 4211799/2097152], [0, 0]]]], [[1, 10, 6, 1, 1], [v < -2^(1
/2), u = -(v^2-2)^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[-3
, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [-4, -4], [-3, -3]]]], [[
1, 10, 6, 1, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y < -3, z = -(-y)^(
1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0]
, [-4, -4], [-2, -2]]]], [[1, 10, 6, 1, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2),
x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3]
, [-5548543/2097152, -2774271/1048576], [0, 0], [-4, -4], [0, 0]]]], [[1, 10,
6, 1, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [0, 0], [-4, -\
4], [2, 2]]]], [[1, 10, 6, 1, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 0, y
< -3, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [0, 0], [-4, -4], [3, 3]]]], [[1, 14, 5, 7, 1], [v < -2^(1/2), u = (
v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1, 15, 11,
4, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [2, 2], [-653431/262144, -2613723/1048576], [-2, -2]]]], [[1, 15, 11
, 4, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [-735979/1048576
, -1471957/2097152]]]], [[1, 15, 11, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) <
u,u < -v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2
], [-653431/262144, -2613723/1048576], [-1/4194304, -1/4194304]]]], [[1, 15, 
11, 4, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x
-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [367989/524288,
735979/1048576]]]], [[1, 15, 11, 4, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [2, 2], [-653431/262144, -2613723/
1048576], [2, 2]]]], [[2, 1, 1, 8, 1], [v = -2^(1/2), u < -2, x < -u^2+1, y =
u^2-x-3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [-9, -9], [15, 15], [0, 0]]]], [[2, 2, 4, 4, 1], [v = -2^(1/2), u = -2, x =
-1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-2,
-2], [-1, -1], [0, 0], [-2, -2]]]], [[2, 2, 4, 4, 2], [v = -2^(1/2), u = -2, x
= -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-2
, -2], [-1, -1], [0, 0], [-1, -1]]]], [[2, 2, 4, 4, 3], [v = -2^(1/2), u = -2,
x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [-1, -1], [0, 0], [0, 0]]]], [[2, 2, 4, 4, 4], [v = -2^(1/
2), u = -2, x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [-1, -1], [0, 0], [1, 1]]]], [[2, 2, 4, 4, 5], [v = -2^(1/
2), u = -2, x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [-1, -1], [0, 0], [2, 2]]]], [[2, 9, 8, 6, 1], [v = -2^(1/
2), And(-1 < u,u < 0), x = -u^2+1, y = 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4], [0, 0], [0, 0]]]], [[2, 11
, 2, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, y = 0, z < -(-u^2+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4
, -11/4], [0, 0], [-3, -3]]]], [[2, 11, 2, 2, 2], [v = -2^(1/2), And(0 < u,u <
1), x = u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [0, 0], [-1738867/1048576, -\
3477733/2097152]]]], [[2, 11, 2, 2, 3], [v = -2^(1/2), And(0 < u,u < 1), x = u
^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [0, 0], [-1/
4194304, -1/4194304]]]], [[2, 11, 2, 2, 4], [v = -2^(1/2), And(0 < u,u < 1), x
= u^2-3, y = 0, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-11/4, -11/4], [0, 0], [869433/524288, 1738867/
1048576]]]], [[2, 11, 2, 2, 5], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, y
= 0, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1/2, 1/2], [-11/4, -11/4], [0, 0], [3, 3]]]], [[2, 17, 5, 6, 1], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2
, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 17, 5, 6, 2], [v = -2^(1/2), And(3^(1/2
) < u,u < 2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1
/2, 1/2], [0, 0]]]], [[2, 17, 5, 6, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1/2, 1/2], [1, 1]
]]], [[2, 18, 8, 2, 1], [v = -2^(1/2), u = 2, x = 1, y = -4, z < -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [-4, -4],
[-3, -3]]]], [[2, 18, 8, 2, 2], [v = -2^(1/2), u = 2, x = 1, y = -4, z = -3^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [-4
, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 18, 8, 2, 3], [v = -2^(1/
2), u = 2, x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[2, 18, 8, 2, 4], [v = -2^(1/2), u = 2, x = 1, y = -4, z = 3^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [-4,
-4], [908093/524288, 1816187/1048576]]]], [[2, 18, 8, 2, 5], [v = -2^(1/2), u
= 2, x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1, 1], [-4, -4], [3, 3]]]], [[3, 3, 6, 7, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, u^2-v^2-1 < y,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [0, 0], [2, 2], [0, 0]]]], [[3, 5, 2, 3, 1], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 <
y,y < 2*u^2-2*v^2), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [980473/2097152, 980473/2097152], [-3, -3]]]], [[3,
5, 2, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^
2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-1538813/1048576, -384703/262144], [980473/2097152, 980473/2097152], [-\
1048577/1048576, -1]]]], [[3, 5, 2, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^
2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), And(-(u^2-v
^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [980473/2097152, 980473/2097152], [0, 0]]]], [[3, 5,
2, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v
^2-1, And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [980473/2097152, 980473/2097152], [1, 
1048577/1048576]]]], [[3, 5, 2, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2-y+1)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [980473/
2097152, 980473/2097152], [3, 3]]]], [[3, 11, 5, 7, 1], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x
-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [1048577/2097152, 1048577/2097152], [-2, -2]]]], [[3, 11, 5, 7, 2], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v
^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [1048577/2097152, 1048577/2097152], [-485927/1048576
, -242963/524288]]]], [[3, 11, 5, 7, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[3, 11, 5, 7, 4], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v
^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [1048577/2097152, 1048577/2097152], [242963/524288,
485927/1048576]]]], [[3, 11, 5, 7, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [1048577/
2097152, 1048577/2097152], [2, 2]]]], [[3, 13, 3, 1, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x
-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-2,
-2], [-3, -3]]]], [[3, 13, 3, 1, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-2, -2], [-7542477/
4194304, -1885619/1048576]]]], [[3, 13, 3, 1, 3], [And(-2^(1/2) < v,v < -1), 
And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [-2, -2], [0, 0]]]], [[3, 13, 3, 1, 4], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2
-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-\
2, -2], [1885619/1048576, 471405/262144]]]], [[3, 13, 3, 1, 5], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u
^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/
2097152], [-2, -2], [3, 3]]]], [[3, 14, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u
= (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1,
-1], [-1/2, -1/2], [-3, -3]]]], [[3, 14, 4, 3, 2], [And(-2^(1/2) < v,v < -1),
u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[3,
14, 4, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, And(-1 < y
,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-1/2,
-1/2], [0, 0]]]], [[3, 14, 4, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1
/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-1/2,
-1/2], [642119/524288, 1284239/1048576]]]], [[3, 14, 4, 3, 5], [And(-2^(1/2) <
v,v < -1), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[3, 15, 10, 2, 1], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [898327/524288, 898327/524288], [1, 1], [-1823847/524288, -3647693/1048576],
[-3, -3]]]], [[3, 15, 10, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [1, 1], [-1823847/524288, -3647693/1048576], [-3301741/2097152, -\
825435/524288]]]], [[3, 15, 10, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [-1823847/524288, -3647693/
1048576], [0, 0]]]], [[3, 15, 10, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [1, 1], [-1823847/524288, -3647693/1048576], [825435/524288, 1650871/
1048576]]]], [[3, 15, 10, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [1, 1], [-1823847/524288, -3647693/1048576], [3, 3]]]], [[4, 4, 4, 5,
1], [v = -1, u = -2^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2,
1/2], [-2, -2]]]], [[4, 4, 4, 5, 2], [v = -1, u = -2^(1/2), x = -1, And(0 < y,
y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]],
[[4, 4, 4, 5, 3], [v = -1, u = -2^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^
(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [1/2, 1/2], [0, 0]]]], [[4, 4, 4, 5, 4], [v = -1, u
= -2^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1,
-1], [-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [741455/1048576
, 46341/65536]]]], [[4, 4, 4, 5, 5], [v = -1, u = -2^(1/2), x = -1, And(0 < y,
y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[4, 5, 10, 4, 1], [v = -1, 
And(-2^(1/2) < u,u < -1), x = 1, y = u^2-3, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
3235683/2097152, -1617841/1048576], [-2, -2]]]], [[4, 5, 10, 4, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), x = 1, y = u^2-3, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
3235683/2097152, -1617841/1048576], [-772605/1048576, -1545209/2097152]]]], [[
4, 5, 10, 4, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, y = u^2-3, And(-(-u
^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [1, 1], [-3235683/2097152, -1617841/1048576], [-1/
4194304, -1/4194304]]]], [[4, 5, 10, 4, 4], [v = -1, And(-2^(1/2) < u,u < -1),
x = 1, y = u^2-3, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [1, 1], [-3235683/2097152, -1617841/1048576], [
193151/262144, 772605/1048576]]]], [[4, 5, 10, 4, 5], [v = -1, And(-2^(1/2) <
u,u < -1), x = 1, y = u^2-3, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [1, 1], [-3235683/2097152, -1617841/
1048576], [2, 2]]]], [[4, 10, 4, 4, 1], [v = -1, u = 1, x = 0, y = 0, z < 0],
[regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [-1, -1]]]], [[4, 10, 4, 4,
2], [v = -1, u = 1, x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [1, 1], [
0, 0], [0, 0], [0, 0]]]], [[4, 10, 4, 4, 3], [v = -1, u = 1, x = 0, y = 0, 0 <
z], [regular_chain, [[-1, -1], [1, 1], [0, 0], [0, 0], [1, 1]]]], [[4, 11, 11,
8, 1], [v = -1, And(1 < u,u < 2^(1/2)), 1 < x, y = 0, z = z], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [0, 0]]]], [[5,
2, 7, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x
< y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [
-1/4, -1/4], [0, 0]]]], [[5, 4, 1, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/
2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543
/131072, -1172343/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[5, 4, 1, 1, 2],
[And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-\
1, -1], [-2, -2]]]], [[5, 4, 1, 1, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/
2, -1/2], [-146543/131072, -1172343/1048576], [-3, -3], [-1, -1], [0, 0]]]], [
[5, 4, 1, 1, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y < 0, z = (-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576]
, [-3, -3], [-1, -1], [2, 2]]]], [[5, 4, 1, 1, 5], [And(-1 < v,v < 0), u = -(v
^2+1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-146543/131072, -1172343/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[5, 11, 9,
3, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v
^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1534619/2097152
, 1534619/2097152], [-8235625/4194304, -8235625/4194304], [-3, -3]]]], [[5, 11
, 9, 3, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1534619/2097152
, 1534619/2097152], [-8235625/4194304, -8235625/4194304], [-1163761/1048576, -\
72735/65536]]]], [[5, 11, 9, 3, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-8235625/
4194304, -8235625/4194304], [0, 0]]]], [[5, 11, 9, 3, 4], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-8235625/4194304,
-8235625/4194304], [72735/65536, 1163761/1048576]]]], [[5, 11, 9, 3, 5], [And(
-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x <
1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-\
8235625/4194304, -8235625/4194304], [3, 3]]]], [[5, 13, 2, 6, 1], [And(-1 < v,
v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [35/2, 35/2], [0, 0]]]],
[[6, 5, 9, 5, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-1 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2
], [-7/8, -7/8], [-2, -2]]]], [[6, 5, 9, 5, 2], [v = 0, And(-1 < u,u < 0), And
(0 < x,x < 1), And(u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
0, 0], [-1/2, -1/2], [1/2, 1/2], [-7/8, -7/8], [-1284239/2097152, -642119/
1048576]]]], [[6, 5, 9, 5, 3], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), 
And(u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-7/8, -7/8], [0, 0]]]], [[6
, 5, 9, 5, 4], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [
-7/8, -7/8], [642119/1048576, 80265/131072]]]], [[6, 5, 9, 5, 5], [v = 0, And(
-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-7/8, -7/8], [2, 2]]]], [[6
, 7, 6, 4, 1], [v = 0, And(0 < u,u < 1), x = u^2-1, y = 0, z < -(-u^2+1)^(1/2)
], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [0, 0], [-2, -2]]]], [[6
, 7, 6, 4, 2], [v = 0, And(0 < u,u < 1), x = u^2-1, y = 0, z = -(-u^2+1)^(1/2)
], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [0, 0], [-1816187/
2097152, -3632373/4194304]]]], [[6, 7, 6, 4, 3], [v = 0, And(0 < u,u < 1), x =
u^2-1, y = 0, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [regular_chain, [[
0, 0], [1/2, 1/2], [-3/4, -3/4], [0, 0], [-1/8388608, -1/8388608]]]], [[6, 7,
6, 4, 4], [v = 0, And(0 < u,u < 1), x = u^2-1, y = 0, z = (-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [0, 0], [908093/1048576, 
454047/524288]]]], [[6, 7, 6, 4, 5], [v = 0, And(0 < u,u < 1), x = u^2-1, y =
0, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [0,
0], [2, 2]]]], [[6, 11, 7, 4, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y = -
x, z < 0], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]
]]], [[6, 11, 7, 4, 2], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y = -x, z = 0],
[regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[6, 11,
7, 4, 3], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[7, 1, 9
, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(
0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8,
35/8], [27/16, 27/16], [0, 0]]]], [[7, 7, 11, 2, 1], [And(0 < v,v < 1), And(-v
< u,u < v), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [2, 2], [-13/4, -13/4], [-3, -3]]]], [[7, 7, 11, 2, 2], [
And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-13/4, -13/4], [-146543
/131072, -1172343/1048576]]]], [[7, 7, 11, 2, 3], [And(0 < v,v < 1), And(-v <
u,u < v), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)
^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-13/4, -13/4], [0, 0]]
]], [[7, 7, 11, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, y = u^2-v^
2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [
-13/4, -13/4], [1172343/1048576, 146543/131072]]]], [[7, 7, 11, 2, 5], [And(0
< v,v < 1), And(-v < u,u < v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-13/4, -13/4], [3, 3]]]], [[7,
9, 8, 3, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+
v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [-1, -1], [-2, -2]]]], [[7, 9, 8, 3
, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 <
y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-1, -1], [-1, -1]]]], [[7, 9, 8, 3, 3], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y <
u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [0, 0], [-1, -1], [0, 0]]]], [[7, 9, 8, 3,
4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y
,y < u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-1, -1], [1, 1]]]], [[7, 9, 8, 3, 5], [And
(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2
-v^2-1), (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [-1, -1], [2, 2]]]], [[7, 11, 2, 1, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u
^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144
], [-2583195/1048576, -1291597/524288], [-1, -1], [-3, -3]]]], [[7, 11, 2, 1,
2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-\
1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1], [-\
7805831/4194304, -3902915/2097152]]]], [[7, 11, 2, 1, 3], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2
-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1],
[-1/4194304, -1/4194304]]]], [[7, 11, 2, 1, 4], [And(0 < v,v < 1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [-1, -1], [1951457/1048576, 975729/524288]]]], [[7,
11, 2, 1, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1],
[3, 3]]]], [[7, 12, 4, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, y
= -2, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-2, -\
2], [-3, -3]]]], [[7, 12, 4, 2, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x =
-1, y = -2, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1],
[-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[7, 12, 4, 2, 3], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[7, 12, 4, 2, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1,
y = -2, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-2,
-2], [908093/524288, 1816187/1048576]]]], [[7, 12, 4, 2, 5], [And(0 < v,v < 1)
, u = (v^2+2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [3/2, 3/2], [-1, -1], [-2, -2], [3, 3]]]], [[8, 5, 2, 5, 1], [v = 1, And(-2^
(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y,y < u^2), z < -(u^2-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [621627/524288, 621627/524288], [-2, -2]]]], [[8, 5,
2, 5, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y,y < u^2)
, z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1527887/1048576, -763943/524288], [621627/524288, 621627/524288],
[-1092629/2097152, -273157/524288]]]], [[8, 5, 2, 5, 3], [v = 1, And(-2^(1/2)
< u,u < -1), x = -u^2, And(2*u^2-2 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u
^2-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1527887/1048576, -763943/524288], [621627/524288, 621627/524288], [0, 0]]]],
[[8, 5, 2, 5, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y,
y < u^2), z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [621627/524288, 621627/
524288], [273157/524288, 546315/1048576]]]], [[8, 5, 2, 5, 5], [v = 1, And(-2^
(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y,y < u^2), (u^2-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [621627/524288, 621627/524288], [2, 2]]]], [[8, 6, 5
, 7, 1], [v = 1, u = -1, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[1,
1], [-1, -1], [1/2, 1/2], [1, 1], [0, 0]]]], [[8, 11, 3, 9, 1], [v = 1, And(1
< u,u < 2^(1/2)), And(-u^2 < x,x < -1), -x < y, z = z], [regular_chain, [[1, 1
], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [
3, 3], [0, 0]]]], [[8, 12, 7, 4, 1], [v = 1, u = 2^(1/2), And(0 < x,x < 1), y
= -x, z < 0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [1/2,
1/2], [-1/2, -1/2], [-1, -1]]]], [[8, 12, 7, 4, 2], [v = 1, u = 2^(1/2), And(0
< x,x < 1), y = -x, z = 0], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[8, 12, 7, 4, 3], [v = 1, u =
2^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 3, 4, 4, 1
], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1
, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [-2, -2]]]], [[9, 3, 4
, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -1, y = 0, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [-1, -1]]]], [[9, 3,
4, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [0, 0]]]],
[[9, 3, 4, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [1, 1]]]],
[[9, 3, 4, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [2, 2]]]],
[[9, 4, 8, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y < -3,
z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [1, 1], [-4, -4], [-3, -3]]]], [[9, 4, 8, 1,
2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[9, 4, 8, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 1, y < -3, 
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [-4, -4], [-1/
4194304, -1/4194304]]]], [[9, 4, 8, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+
1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[9, 4, 8, 1, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2+1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1],
[-4, -4], [3, 3]]]], [[9, 12, 2, 2, 1], [And(1 < v,v < 2^(1/2)), u = v, x = -1
, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[9, 12, 2,
2, 2], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y = 0, z = -1], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1,
-1], [0, 0], [-1, -1]]]], [[9, 12, 2, 2, 3], [And(1 < v,v < 2^(1/2)), u = v, x
= -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[9
, 12, 2, 2, 4], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y = 0, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [1, 1]]]], [[9, 12, 2, 2, 5], [And(1 < v,v < 2^(1/
2)), u = v, x = -1, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [2, 2]]]], [[9
, 13, 9, 8, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 <
x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 2, 5,
9, 1], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), 1-x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [3,
3], [0, 0]]]], [[10, 3, 10, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
1, And(-u^2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [-4699771/
2097152, -4699771/2097152], [-3, -3]]]], [[10, 3, 10, 3, 2], [v = 2^(1/2), And
(-2 < u,u < -3^(1/2)), x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [1, 1], [-4699771/2097152, -4699771/2097152], [-4563/4096, -1168127/
1048576]]]], [[10, 3, 10, 3, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1
, And(-u^2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [1, 1], [-4699771/2097152, -4699771/2097152], [0, 0]]]], [[10, 3, 10
, 3, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, And(-u^2 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [1, 1], [-4699771/2097152, -4699771/
2097152], [1168127/1048576, 4563/4096]]]], [[10, 3, 10, 3, 5], [v = 2^(1/2), 
And(-2 < u,u < -3^(1/2)), x = 1, And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [1, 1], [-4699771/2097152, -4699771/2097152], [3, 3]]]], [[10, 8, 4,
5, 1], [v = 2^(1/2), u = -1, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [1/2, 1/
2], [-2, -2]]]], [[10, 8, 4, 5, 2], [v = 2^(1/2), u = -1, x = -1, And(0 < y,y
< 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1, -1], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[10, 8,
4, 5, 3], [v = 2^(1/2), u = -1, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1
], [-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 8, 4, 5, 4], [v = 2^(1/2), u = -1, x
= -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536
]]]], [[10, 8, 4, 5, 5], [v = 2^(1/2), u = -1, x = -1, And(0 < y,y < 1), (1-y)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1,
-1], [1/2, 1/2], [2, 2]]]], [[10, 9, 9, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0)
, And(-u^2+1 < x,x < 1), 0 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [1, 1], [0, 0]]]], [[10, 15, 11, 8
, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [2, 2], [0, 0], [0, 0]]]], [[10, 17, 6, 7, 1], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), x = 0, u^2-3 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [0, 0], [2, 2], [0, 0]]]
], [[10, 18, 7, 9, 1], [v = 2^(1/2), u = 2, And(0 < x,x < 1), 1-x < y, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [2, 2],
[0, 0]]]], [[11, 1, 1, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1
, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [-\
1, -1], [-6, -6]]]], [[11, 1, 1, 1, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18
, -18], [-1, -1], [-4570637/1048576, -1142659/262144]]]], [[11, 1, 1, 1, 3], [
2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [-1, -1], [
0, 0]]]], [[11, 1, 1, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [-1,
-1], [1142659/262144, 4570637/1048576]]]], [[11, 1, 1, 1, 5], [2^(1/2) < v, u
< -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
3, 3], [-5, -5], [-18, -18], [-1, -1], [6, 6]]]], [[11, 7, 2, 7, 1], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [3, 3], [0, 0]]]], [[11, 8, 5, 7, 1], [2^(1/2) < v,
u = -(v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[3, 3]
, [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11
, 12, 6, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, y < -3, z < -(-y)^(1/2
)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [-4, -4],
[-3, -3]]]], [[11, 12, 6, 1, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, y < -\
3, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [
0, 0], [-4, -4], [-2, -2]]]], [[11, 12, 6, 1, 3], [2^(1/2) < v, u = (v^2-2)^(1
/2), x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [0, 0], [-4, -4], [0, 0]]]], [[11, 12, 6, 1
, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [-4, -4], [2, 2
]]]], [[11, 12, 6, 1, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, y < -3, (-y)
^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [
-4, -4], [3, 3]]]], [[11, 13, 10, 4, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [1, 1], [-1, -1], [-1, -1]]]], [[11, 13, 10, 4, 2], [
2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -1, z = 0],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-1, -1], [
0, 0]]]], [[11, 13, 10, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [1, 1], [-1, -1], [1, 1]]]], [[11, 20, 3, 1, 1], [2^(1/2) < v
, u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [-2, -2],
[-3, -3]]]], [[11, 20, 3, 1, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x
< -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [-2, -2], [-2, -2], [-2, -2]]]], [[11, 20, 3, 1, 3], [2^(1/
2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288
], [-2, -2], [-2, -2], [0, 0]]]], [[11, 20, 3, 1, 4], [2^(1/2) < v, u = (v^2+2
)^(1/2), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-2, -2], [-2, -2], [2, 2]]]], [[11, 20
, 3, 1, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, (-x
-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-\
2, -2], [-2, -2], [3, 3]]]], [[11, 21, 7, 2, 1], [2^(1/2) < v, (v^2+2)^(1/2) <
u, And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[3, 3], [5, 5], [1/2, 1/2], [-35/2, -35/2], [-6, -6]]]], [[11, 21, 7, 2, 2]
, [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-35/2, -35/2],
[-2161695/524288, -4323389/1048576]]]], [[11, 21, 7, 2, 3], [2^(1/2) < v, (v^2
+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-35/2,
-35/2], [0, 0]]]], [[11, 21, 7, 2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0
< x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [1/2, 1/2], [-35/2, -35/2], [4323389/1048576, 2161695/524288]]]], [[11
, 21, 7, 2, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^
2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-\
35/2, -35/2], [6, 6]]]], [[1, 4, 3, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2),
And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[1, 4, 3,
4, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = -(-x)
^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-3/2,
-3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[1, 4, 3, 4, 3], [v < -
2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536],
[-3/2, -3/2], [0, 0], [0, 0]]]], [[1, 4, 3, 4, 4], [v < -2^(1/2), u = -(v^2+1)
^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3],
[-3315889/1048576, -207243/65536], [-3/2, -3/2], [0, 0], [642119/524288, 
1284239/1048576]]]], [[1, 4, 3, 4, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(
-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-3/2, -3/2], [0, 0], [3, 3]]]], [[1, 5, 9, 5, 1], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144], [-2, -2]]]], [[1
, 5, 9, 5, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1),
And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144],
[-527729/1048576, -1055457/2097152]]]], [[1, 5, 9, 5, 3], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144], [-1/
4194304, -1/4194304]]]], [[1, 5, 9, 5, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) <
u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
197471/262144, -197471/262144], [32983/65536, 527729/1048576]]]], [[1, 5, 9, 5
, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-
v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144], [2, 2]]
]], [[1, 11, 10, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2
)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3
], [0, 0], [8, 8], [-4, -4], [0, 0]]]], [[1, 13, 4, 3, 1], [v < -2^(1/2), And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-
y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -\
1], [-395403/524288, -395403/524288], [-3, -3]]]], [[1, 13, 4, 3, 2], [v < -2^
(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0
), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-1, -1], [-395403/524288, -395403/524288], [-347197/262144, -1388787
/1048576]]]], [[1, 13, 4, 3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1, -1], [
-395403/524288, -395403/524288], [0, 0]]]], [[1, 13, 4, 3, 4], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z =
(1-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-1
, -1], [-395403/524288, -395403/524288], [1388787/1048576, 347197/262144]]]],
[[1, 13, 4, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x
= -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-1, -1], [-395403/524288, -395403/524288], [
3, 3]]]], [[1, 17, 8, 6, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
0, y = 0, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
0, 0], [0, 0], [-1, -1]]]], [[1, 17, 8, 6, 2], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3], [403851/131072
, 403851/131072], [0, 0], [0, 0], [0, 0]]]], [[1, 17, 8, 6, 3], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3]
, [403851/131072, 403851/131072], [0, 0], [0, 0], [1, 1]]]], [[1, 19, 4, 2, 1]
, [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^
2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-3, -3]]]], [
[1, 19, 4, 2, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811
/1048576, 3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-\
1655969/1048576, -3311937/2097152]]]], [[1, 19, 4, 2, 3], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-1/4194304, -\
1/4194304]]]], [[1, 19, 4, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [3396811/1048576, 3396811/1048576], [-1, -1], [-1566621/1048576, -\
391655/262144], [51749/32768, 1655969/1048576]]]], [[1, 19, 4, 2, 5], [v < -2^
(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [-1, -1], [-1566621/1048576, -391655/262144], [3, 3]]]], [[2, 3, 9, 1, 1], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y < -u^2-x+1, z
< -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288], [-5, -5],
[-4, -4]]]], [[2, 3, 9, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^
2-3 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [-5, -5], [-270497/131072, -2163975/1048576]]]], [[2, 3, 9,
1, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y < -u^2
-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [-5, -5], [0, 0]]]], [[2, 3, 9, 1, 4], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-5, -5], [2163975/1048576,
270497/131072]]]], [[2, 3, 9, 1, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
And(u^2-3 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
388511/524288, 388511/524288], [-5, -5], [4, 4]]]], [[2, 5, 4, 4, 1], [v = -2^
(1/2), And(-3^(1/2) < u,u < v), x = -1, y = 0, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1, -\
1], [0, 0], [-2, -2]]]], [[2, 5, 4, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), x = -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288
], [-6598195/4194304, -6598195/4194304], [-1, -1], [0, 0], [-1, -1]]]], [[2, 5
, 4, 4, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = 0, And(-1 < z,
z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1, -1], [0, 0], [0, 0]]]], [[2, 5, 4, 4, 4], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = -1, y = 0, z = 1], [regular_chain, [[
-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1,
-1], [0, 0], [1, 1]]]], [[2, 5, 4, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-6598195/4194304, -6598195/4194304], [-1, -1], [0, 0], [2, 2]]]], [[2, 6, 6
, 4, 1], [v = -2^(1/2), u = v, x = 1, y = -1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1482911/1048576, -741455/524288], [1, 1],
[-1, -1], [-1, -1]]]], [[2, 6, 6, 4, 2], [v = -2^(1/2), u = v, x = 1, y = -1,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576
, -741455/524288], [1, 1], [-1, -1], [0, 0]]]], [[2, 6, 6, 4, 3], [v = -2^(1/2
), u = v, x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1, 1]]]], [[2,
8, 2, 4, 1], [v = -2^(1/2), u = -1, x = -2, y = 2, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [2, 2], [-1, -1]]]], [[2
, 8, 2, 4, 2], [v = -2^(1/2), u = -1, x = -2, y = 2, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [2, 2], [0, 0]]]], [[2
, 8, 2, 4, 3], [v = -2^(1/2), u = -1, x = -2, y = 2, 0 < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [2, 2], [1, 1]]]], [[2
, 14, 2, 1, 1], [v = -2^(1/2), u = -v, x = -1, y < 0, z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[2, 14, 2, 1, 2], [v = -2^(1/2), u
= -v, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[2, 14, 2, 1, 3], [v = -2^(1/2), u = -v,
x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1, -1],
[-1, -1], [0, 0]]]], [[2, 14, 2, 1, 4], [v = -2^(1/2), u = -v, x = -1, y < 0,
z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455
/524288, 1482911/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576
]]]], [[2, 14, 2, 1, 5], [v = -2^(1/2), u = -v, x = -1, y < 0, (1-y)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[2, 15, 10, 2, 1], [v = -2^(
1/2), And(-v < u,u < 3^(1/2)), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1, 1], [-1297479/524288, -2594957/1048576], [-3, -3]]]], [[2, 15, 
10, 2, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y = -u^2, z = -(u^2-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1, 1], [-1297479/524288, -2594957/1048576], [-\
1273381/1048576, -318345/262144]]]], [[2, 15, 10, 2, 3], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [1, 1], [-1297479/524288, -2594957/1048576], [0, 0]]]], [[2, 15, 10
, 2, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = 1, y = -u^2, z = (u^2-1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [1, 1], [-1297479/524288, -2594957/1048576], [318345/262144,
1273381/1048576]]]], [[2, 15, 10, 2, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1, 1], [-1297479/524288,
-2594957/1048576], [3, 3]]]], [[2, 19, 10, 7, 1], [v = -2^(1/2), 2 < u, x = u^
2-3, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3
], [6, 6], [1, 1], [0, 0]]]], [[3, 2, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-\
3, -3], [3/2, 3/2], [-3, -3]]]], [[3, 2, 2, 3, 2], [And(-2^(1/2) < v,v < -1),
u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]],
[[3, 2, 2, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, And(0
< y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [
3/2, 3/2], [0, 0]]]], [[3, 2, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2
)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[3, 2, 2, 3, 5], [And(-
2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-3, -3], [3/2, 3/2], [3, 3]]]], [[3, 8, 4, 4, 1], [And(-
2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [0, 0], [-2, -2]]]], [[3, 8, 4, 4, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -\
1], [0, 0], [-1, -1]]]], [[3, 8, 4, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [0,
0], [0, 0]]]], [[3, 8, 4, 4, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2)
, x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-1417877/2097152, -354469/524288], [-1, -1], [0, 0], [1, 1]]]], [[3, 8, 4,
4, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [0, 0], [2, 2]]]], [[3, 9, 10, 3, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 <
y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-2336807/1048576, -2336807/1048576], [-3, -3]]]], [
[3, 9, 10, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-2336807/1048576, -\
2336807/1048576], [-1162243/1048576, -581121/524288]]]], [[3, 9, 10, 3, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, 
And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [-\
2336807/1048576, -2336807/1048576], [0, 0]]]], [[3, 9, 10, 3, 4], [And(-2^(1/2
) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2
< y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1, 1], [-2336807/1048576, -2336807/1048576], [581121/524288
, 1162243/1048576]]]], [[3, 9, 10, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2
-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1, 1]
, [-2336807/1048576, -2336807/1048576], [3, 3]]]], [[3, 17, 3, 6, 1], [And(-2^
(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -x, z <
0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [625403/131072, 5003225/1048576], [-1, -1]]]], [[
3, 17, 3, 6, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1
< x,x < -1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [625403/131072, 
5003225/1048576], [0, 0]]]], [[3, 17, 3, 6, 3], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [625403/131072, 5003225/1048576], [1, 1]]]], [[4, 1, 5, 9, 1], [v =
-1, u < -3^(1/2), And(-1 < x,x < 0), u^2-x-2 < y, z = z], [regular_chain, [[-1
, -1], [-3, -3], [-1/2, -1/2], [9, 9], [0, 0]]]], [[4, 7, 7, 6, 1], [v = -1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [-2, -2]]]], [[4
, 7, 7, 6, 2], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [-\
46341/131072, -370727/1048576]]]], [[4, 7, 7, 6, 3], [v = -1, And(-1 < u,u < 0
), And(-u^2 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [0, 0]]]], [[4,
7, 7, 6, 4], [v = -1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = 0, z = (-x)^
(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [370727
/1048576, 46341/131072]]]], [[4, 7, 7, 6, 5], [v = -1, And(-1 < u,u < 0), And(
-u^2 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/
2], [-1/8, -1/8], [0, 0], [2, 2]]]], [[4, 9, 3, 2, 1], [v = -1, And(0 < u,u <
1), And(u^2-2 < x,x < -1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain,
[[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-3/8, -3/8], [-3, -3]]]], [[4, 9, 3, 2
, 2], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = u^2-x-2, z = -(-u^
2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-3/8, -3/
8], [-10837/8192, -1387135/1048576]]]], [[4, 9, 3, 2, 3], [v = -1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)
^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-3/8, -3/8],
[0, 0]]]], [[4, 9, 3, 2, 4], [v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1),
y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/
8, -11/8], [-3/8, -3/8], [1387135/1048576, 10837/8192]]]], [[4, 9, 3, 2, 5], [
v = -1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = u^2-x-2, (-u^2+2)^(1/2) <
z], [regular_chain, [[-1, -1], [1/2, 1/2], [-11/8, -11/8], [-3/8, -3/8], [3, 3
]]]], [[4, 13, 7, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x <
u^2-2), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-\
3092763/2097152, -3092763/2097152], [-3, -3]]]], [[4, 13, 7, 3, 2], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [497805/2097152, 497805/2097152], [-3092763/2097152, -3092763/2097152], [-\
145801/131072, -1166407/1048576]]]], [[4, 13, 7, 3, 3], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097
/2097152], [497805/2097152, 497805/2097152], [-3092763/2097152, -3092763/
2097152], [0, 0]]]], [[4, 13, 7, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [-3092763/2097152, -3092763/2097152], [1166407/1048576, 
145801/131072]]]], [[4, 13, 7, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 
And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [-3092763/2097152, -3092763/2097152], [3, 3]]]], [[4, 14, 9,
8, 1], [v = -1, u = 3^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [2, 2], [0, 0], [0, 0]]]], [[5, 5, 7, 7, 1],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [
312209/2097152, 312209/2097152], [-2, -2]]]], [[5, 5, 7, 7, 2], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/2097152, 
312209/2097152], [-50573/131072, -404583/1048576]]]], [[5, 5, 7, 7, 3], [And(-\
1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [312209/2097152, 312209/2097152], [0, 0]]]], [[5, 5, 7, 7, 4], [And(
-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/
2097152, 312209/2097152], [404583/1048576, 50573/131072]]]], [[5, 5, 7, 7, 5],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), 
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631
/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/
2097152, 312209/2097152], [2, 2]]]], [[5, 7, 4, 8, 1], [And(-1 < v,v < 0), And
(v < u,u < -v), x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0],
[-1, -1], [1, 1], [-1, -1]]]], [[5, 7, 4, 8, 2], [And(-1 < v,v < 0), And(v < u
,u < -v), x = -1, y = 1, z = 0], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -\
1], [1, 1], [0, 0]]]], [[5, 7, 4, 8, 3], [And(-1 < v,v < 0), And(v < u,u < -v)
, x = -1, y = 1, 0 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-1, -1], [1,
1], [1, 1]]]], [[5, 8, 6, 6, 1], [And(-1 < v,v < 0), u = -v, x = 1, y = 0, z =
z], [regular_chain, [[-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[5,
10, 3, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -
x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[5, 10, 3, 1, 2], [And(-\
1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -\
3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[5, 10, 3, 1, 3], [And
(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[5, 10, 3, 1, 4], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2
], [-2, -2], [980853/524288, 1961707/1048576]]]], [[5, 10, 3, 1, 5], [And(-1 <
v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[-2, -2], [3, 3]]]], [[6, 2, 9, 5, 1], [v = 0, u = -2^(1/2), 1 < x, And(-x < y
,y < 1-x), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288]
, [2, 2], [-3/2, -3/2], [0, 0]]]], [[6, 4, 3, 5, 1], [v = 0, u = -1, And(-2 <
x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1
, -1], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[6, 4, 3, 5, 2], [v = 0, u = -1
, And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[0, 0], [-1, -1], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/
4194304]]]], [[6, 4, 3, 5, 3], [v = 0, u = -1, And(-2 < x,x < -1), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1,
-1], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[6, 4, 3, 5, 4],
[v = 0, u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 
454047/524288]]]], [[6, 4, 3, 5, 5], [v = 0, u = -1, And(-2 < x,x < -1), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2
], [3/4, 3/4], [2, 2]]]], [[6, 8, 8, 7, 1], [v = 0, u = 1, x = 1, 0 < y, z = z
], [regular_chain, [[0, 0], [1, 1], [1, 1], [1, 1], [0, 0]]]], [[6, 10, 2, 5,
1], [v = 0, u = 2^(1/2), x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[0
, 0], [741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [0, 0]]]], [[7,
4, 9, 4, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-2, -\
2], [-1, -1]]]], [[7, 4, 9, 4, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 <
x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [2, 2], [-2, -2], [0, 0]]]], [[7, 4, 9, 4, 3], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [2, 2], [-2, -2], [1, 1]]]], [[7, 6, 3, 6, 1], [
And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [
[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[7, 6, 3, 6,
2], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]],
[[7, 6, 3, 6, 3], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = -x, 0 < z]
, [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1]]
]], [[7, 13, 9, 3, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2
-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [3, 3], [35/8, 35/8], [-37/4, -37/4], [-4, -4]]]], [[7, 13, 9, 3, 2]
, [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2
-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [35
/8, 35/8], [-37/4, -37/4], [-1157597/524288, -2315193/1048576]]]], [[7, 13, 9,
3, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^
2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-37/4, -37/4], [0, 0]]]], [
[7, 13, 9, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-\
1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [3, 3], [35/8, 35/8], [-37/4, -37/4], [2315193/1048576, 1157597/524288]]]]
, [[7, 13, 9, 3, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v
^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2,
1/2], [3, 3], [35/8, 35/8], [-37/4, -37/4], [4, 4]]]], [[8, 1, 11, 4, 1], [v =
1, u < -3^(1/2), u^2-2 < x, y = -x, z < 0], [regular_chain, [[1, 1], [-3, -3],
[8, 8], [-8, -8], [-1, -1]]]], [[8, 1, 11, 4, 2], [v = 1, u < -3^(1/2), u^2-2
< x, y = -x, z = 0], [regular_chain, [[1, 1], [-3, -3], [8, 8], [-8, -8], [0,
0]]]], [[8, 1, 11, 4, 3], [v = 1, u < -3^(1/2), u^2-2 < x, y = -x, 0 < z], [
regular_chain, [[1, 1], [-3, -3], [8, 8], [-8, -8], [1, 1]]]], [[8, 8, 2, 3, 1
], [v = 1, u = 0, x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain,
[[1, 1], [0, 0], [-2, -2], [1, 1], [-2, -2]]]], [[8, 8, 2, 3, 2], [v = 1, u =
0, x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[1, 1], [0, 0
], [-2, -2], [1, 1], [-1, -1]]]], [[8, 8, 2, 3, 3], [v = 1, u = 0, x = -2, And
(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1, 1]
, [0, 0], [-2, -2], [1, 1], [0, 0]]]], [[8, 8, 2, 3, 4], [v = 1, u = 0, x = -2
, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-2, -2
], [1, 1], [1, 1]]]], [[8, 8, 2, 3, 5], [v = 1, u = 0, x = -2, And(0 < y,y < 2
), (2-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-2, -2], [1, 1], [2, 2]
]]], [[8, 9, 8, 2, 1], [v = 1, And(0 < u,u < 1), x = 0, y = u^2-2, z < -(-u^2+
2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-7/4, -7/4], [-3, -3]
]]], [[8, 9, 8, 2, 2], [v = 1, And(0 < u,u < 1), x = 0, y = u^2-2, z = -(-u^2+
2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-7/4, -7/4], [-10837/
8192, -1387135/1048576]]]], [[8, 9, 8, 2, 3], [v = 1, And(0 < u,u < 1), x = 0,
y = u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1,
1], [1/2, 1/2], [0, 0], [-7/4, -7/4], [0, 0]]]], [[8, 9, 8, 2, 4], [v = 1, And
(0 < u,u < 1), x = 0, y = u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [0, 0], [-7/4, -7/4], [1387135/1048576, 10837/8192]]]], [[8, 9, 8,
2, 5], [v = 1, And(0 < u,u < 1), x = 0, y = u^2-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [0, 0], [-7/4, -7/4], [3, 3]]]], [[8, 14,
1, 9, 1], [v = 1, u = 3^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[1, 1
], [908093/524288, 1816187/1048576], [-4, -4], [6, 6], [0, 0]]]], [[8, 15, 6,
1, 1], [v = 1, 3^(1/2) < u, x = 0, y < -u^2, z < -(-y)^(1/2)], [regular_chain,
[[1, 1], [3, 3], [0, 0], [-10, -10], [-5, -5]]]], [[8, 15, 6, 1, 2], [v = 1, 3
^(1/2) < u, x = 0, y < -u^2, z = -(-y)^(1/2)], [regular_chain, [[1, 1], [3, 3]
, [0, 0], [-10, -10], [-3315889/1048576, -207243/65536]]]], [[8, 15, 6, 1, 3],
[v = 1, 3^(1/2) < u, x = 0, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [0, 0], [-10, -10], [0, 0]]]], [[8, 15, 6, 1,
4], [v = 1, 3^(1/2) < u, x = 0, y < -u^2, z = (-y)^(1/2)], [regular_chain, [[1
, 1], [3, 3], [0, 0], [-10, -10], [207243/65536, 3315889/1048576]]]], [[8, 15,
6, 1, 5], [v = 1, 3^(1/2) < u, x = 0, y < -u^2, (-y)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [0, 0], [-10, -10], [5, 5]]]], [[9, 6, 2, 4, 1
], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y = 1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [1, 1], [-1, -1]]]], [[9, 6, 2, 4, 2], [And(1 < v,v < 2^(1/2)), u = -v, x
= -1, y = 1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[9, 6, 2, 4,
3], [And(1 < v,v < 2^(1/2)), u = -v, x = -1, y = 1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [1, 1], [1, 1]]]], [[9, 7, 10, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u
,u < -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
1, 1], [-4, -4], [-3, -3]]]], [[9, 7, 10, 1, 2], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[9, 7, 10, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1, 1
], [-4, -4], [-1/4194304, -1/4194304]]]], [[9, 7, 10, 1, 4], [And(1 < v,v < 2^
(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[9,
7, 10, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 1,
y < u^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1, 1], [-4, -4], [3, 3]]]], [
[9, 9, 4, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-1527887/1048576, -\
763943/524288], [-3, -3]]]], [[9, 9, 4, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [
-1527887/1048576, -763943/524288], [-410915/262144, -3287319/2097152]]]], [[9,
9, 4, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-\
1527887/1048576, -763943/524288], [-1/4194304, -1/4194304]]]], [[9, 9, 4, 2, 4
], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1,
y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [-1527887/1048576, -763943/524288], [
1643659/1048576, 410915/262144]]]], [[9, 9, 4, 2, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -\
1], [-1527887/1048576, -763943/524288], [3, 3]]]], [[9, 10, 7, 6, 1], [And(1 <
v,v < 2^(1/2)), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[9, 16, 9, 9, 1], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [1, 1], [0
, 0]]]], [[10, 1, 3, 1, 1], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y <
-u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-9/2, -9/2], [-5, -5], [-5, -5]]]], [[10, 1, 3, 1, 2], [v = 2^(1
/2), u < -2, And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9/2], [-5,
-5], [-3231929/1048576, -403991/131072]]]], [[10, 1, 3, 1, 3], [v = 2^(1/2), u
< -2, And(-u^2+1 < x,x < -1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-9/2, -9
/2], [-5, -5], [0, 0]]]], [[10, 1, 3, 1, 4], [v = 2^(1/2), u < -2, And(-u^2+1
< x,x < -1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [-9/2, -9/2], [-5, -5], [403991/131072, 3231929/
1048576]]]], [[10, 1, 3, 1, 5], [v = 2^(1/2), u < -2, And(-u^2+1 < x,x < -1),
y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-9/2, -9/2], [-5, -5], [5, 5]]]], [[10, 5, 4, 3, 1], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-248903/1048576, -248903/1048576], [-3, -3]]]], [
[10, 5, 4, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(-u^2+2 <
y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-6598195/4194304, -6598195/4194304], [-1, -1], [-248903/1048576, -248903/
1048576], [-145801/131072, -1166407/1048576]]]], [[10, 5, 4, 3, 3], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [-248903/1048576, -248903/
1048576], [0, 0]]]], [[10, 5, 4, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = -1, And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [-\
248903/1048576, -248903/1048576], [1166407/1048576, 145801/131072]]]], [[10, 5
, 4, 3, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, And(-u^2+2 < y,y <
0), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [-248903/1048576, -248903/
1048576], [3, 3]]]], [[10, 6, 7, 7, 1], [v = 2^(1/2), u = -v, 1 < x, 0 < y, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [2, 2], [1, 1], [0, 0]]]], [[10, 13, 1, 1, 1], [v = 2^(1/2), 
And(1 < u,u < v), x < u^2-3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3],
[-1, -1], [-3, -3]]]], [[10, 13, 1, 1, 2], [v = 2^(1/2), And(1 < u,u < v), x <
u^2-3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-2, -2]]]],
[[10, 13, 1, 1, 3], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y < 0, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0]]]], [
[10, 13, 1, 1, 4], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y < 0, z = (-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[10, 13, 1, 1, 5], [v = 2^(1
/2), And(1 < u,u < v), x < u^2-3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3],
[-1, -1], [3, 3]]]], [[10, 14, 3, 6, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10, 14, 3,
6, 2], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1
/2], [1/2, 1/2], [0, 0]]]], [[10, 14, 3, 6, 3], [v = 2^(1/2), u = v, And(-1 <
x,x < 0), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 2,
3, 9, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), 1-x < y, z = z
], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-2, -2], [4,
4], [0, 0]]]], [[11, 3, 8, 1, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144,
518045/1048576], [-4, -4], [-3, -3]]]], [[11, 3, 8, 1, 2], [2^(1/2) < v, And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(
-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [129511/262144, 518045/1048576], [-4, -4], [-7853497/4194304, -\
981687/524288]]]], [[11, 3, 8, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) <
z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [129511/262144, 518045/1048576], [-4, -4], [0, 0]]]], [[11,
3, 8, 1, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2
-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-4, -4
], [981687/524288, 1963375/1048576]]]], [[11, 3, 8, 1, 5], [2^(1/2) < v, And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+
v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [129511/262144, 518045/1048576], [-4, -4], [3, 3]]]], [[11, 9, 11, 9
, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, 0 < y,
z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2
], [1, 1], [0, 0]]]], [[11, 11, 5, 1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-11, -11], [-5, -5]]]], [[11, 
11, 5, 1, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1
< x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0,
0], [-1/2, -1/2], [-11, -11], [-3555895/1048576, -1777947/524288]]]], [[11, 11
, 5, 1, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 <
x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-1/2, -1/2], [-11, -11], [0, 0]]]], [[11, 11,
5, 1, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,
x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [
-1/2, -1/2], [-11, -11], [1777947/524288, 3555895/1048576]]]], [[11, 11, 5, 1,
5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0)
, y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-1/2,
-1/2], [-11, -11], [5, 5]]]], [[11, 15, 6, 1, 1], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [-3, -3], [-3, -3]]]], [[11, 15, 6, 1, 2], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u^2-v^2-y+1)^
(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/
262144, -516571/1048576], [-3, -3], [-7838571/4194304, -3919285/2097152]]]], [
[11, 15, 6, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1,
y < 2*u^2-2*v^2, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [-3, -3], [-1/4194304, -1/4194304]]]], [[11, 15, 6, 1, 4], [2
^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z =
(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [-3, -3], [979821/524288, 1959643
/1048576]]]], [[11, 15, 6, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [
-3, -3], [3, 3]]]], [[11, 17, 2, 7, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1
/2)), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-195745/131072, -1565959/1048576], [3, 3], [0, 0]]]],
[[1, 1, 6, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 0, y = u^2-v^2-1, z =
z], [regular_chain, [[-3, -3], [-5, -5], [0, 0], [15, 15], [0, 0]]]], [[1, 2,
9, 4, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y = -x, z < 0], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [2, 2], [-2, -2
], [-1, -1]]]], [[1, 2, 9, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1 < x, y
= -x, z = 0], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576],
[2, 2], [-2, -2], [0, 0]]]], [[1, 2, 9, 4, 3], [v < -2^(1/2), u = -(v^2+2)^(1/
2), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [2, 2], [-2, -2], [1, 1]]]], [[1, 9, 3, 6, 1], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -
x, z < 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[-7357527/4194304, -7357527/4194304], [1839381/1048576, 919691/524288], [-1, -\
1]]]], [[1, 9, 3, 6, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1
/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [
1839381/1048576, 919691/524288], [0, 0]]]], [[1, 9, 3, 6, 3], [v < -2^(1/2), 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x,
0 < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
7357527/4194304, -7357527/4194304], [1839381/1048576, 919691/524288], [1, 1]]]
], [[1, 10, 5, 9, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), 1-
x < y, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576]
, [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 14, 6, 1, 1], [v < -2^(1/2), u = (v^2-\
1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[1, 14, 6, 1, 2], [v
< -2^(1/2), u = (v^2-1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain
, [[-3, -3], [741455/262144, 2965821/1048576], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[1, 14, 6, 1, 3], [v < -2^(1/2), u = (v^2-1)^(
1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-\
3, -3], [741455/262144, 2965821/1048576], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[1, 14, 6, 1, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, y < -\
2, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576
], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[1, 14, 6, 1, 5], [
v < -2^(1/2), u = (v^2-1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [0, 0], [-3, -3],
[3, 3]]]], [[1, 15, 11, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1
< x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [6111549/2097152, 6111549/2097152], [2, 2], [-4710875/2097152, -4710875/
2097152], [-2, -2]]]], [[1, 15, 11, 5, 2], [v < -2^(1/2), And((v^2-1)^(1/2) <
u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-\
4710875/2097152, -4710875/2097152], [-16263/32768, -520415/1048576]]]], [[1, 
15, 11, 5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v
^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-4710875/2097152, -\
4710875/2097152], [0, 0]]]], [[1, 15, 11, 5, 4], [v < -2^(1/2), And((v^2-1)^(1
/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [2, 2], [-\
4710875/2097152, -4710875/2097152], [520415/1048576, 16263/32768]]]], [[1, 15,
11, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x
-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152
, 6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [2, 2]]]], [
[2, 1, 1, 7, 1], [v = -2^(1/2), u < -2, x < -u^2+1, And(-x < y,y < u^2-x-3), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9],
[12, 12], [0, 0]]]], [[2, 2, 4, 3, 1], [v = -2^(1/2), u = -2, x = -1, And(-2 <
y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [-1, -1], [-3, -3]]]], [[2, 2, 4, 3, 2], [v = -2^
(1/2), u = -2, x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-1, -1], [-1482911/
1048576, -741455/524288]]]], [[2, 2, 4, 3, 3], [v = -2^(1/2), u = -2, x = -1,
And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-1, -1], [0, 0]]]], [[2
, 2, 4, 3, 4], [v = -2^(1/2), u = -2, x = -1, And(-2 < y,y < 0), z = (1-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-1, -1],
[-1, -1], [741455/524288, 1482911/1048576]]]], [[2, 2, 4, 3, 5], [v = -2^(1/2)
, u = -2, x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-1, -1], [3, 3]]]], [[2
, 9, 8, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -u^2+1, 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [3/4, 3/4],
[1, 1], [0, 0]]]], [[2, 11, 2, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), x = u^2
-3, And(0 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [-3, -3]]]
], [[2, 11, 2, 3, 2], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, And(0 < y,y
< -u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [-1229565/1048576, -307391
/262144]]]], [[2, 11, 2, 3, 3], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, 
And(0 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4]
, [11/8, 11/8], [0, 0]]]], [[2, 11, 2, 3, 4], [v = -2^(1/2), And(0 < u,u < 1),
x = u^2-3, And(0 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [
307391/262144, 1229565/1048576]]]], [[2, 11, 2, 3, 5], [v = -2^(1/2), And(0 <
u,u < 1), x = u^2-3, And(0 < y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4]
, [11/8, 11/8], [3, 3]]]], [[2, 17, 5, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1
/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[2, 17, 5, 5, 2], [v = -2^(1/2), And(3^(1
/2) < u,u < 2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[2, 17, 5, 5, 3], [v = -
2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]
]]], [[2, 17, 5, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1/4, 1/4],
[1/2, 1/2]]]], [[2, 17, 5, 5, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), And(-\
1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [
1/4, 1/4], [2, 2]]]], [[2, 18, 8, 1, 1], [v = -2^(1/2), u = 2, x = 1, y < -4,
z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [1, 1], [-5, -5], [-3, -3]]]], [[2, 18, 8, 1, 2], [v = -2^(1/2), u = 2, x =
1, y < -4, z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1, 1], [-5, -5], [-2, -2]]]], [[2, 18, 8, 1, 3], [v = -2^(1/
2), u = 2, x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [-5, -5],
[0, 0]]]], [[2, 18, 8, 1, 4], [v = -2^(1/2), u = 2, x = 1, y < -4, z = (-y-1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1, 1], [
-5, -5], [2, 2]]]], [[2, 18, 8, 1, 5], [v = -2^(1/2), u = 2, x = 1, y < -4, (-
y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[1, 1], [-5, -5], [3, 3]]]], [[3, 3, 7, 1, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2
-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [
-4, -4], [-3, -3]]]], [[3, 3, 7, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z
= -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-4, -\
4], [-32535017/16777216, -4066877/2097152]]]], [[3, 3, 7, 1, 3], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2
-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [-4, -4], [-1/4194304, -1
/4194304]]]], [[3, 3, 7, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-4, -4], [
1016719/524288, 2033439/1048576]]]], [[3, 3, 7, 1, 5], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [-4, -4], [3, 3]]]], [[3, 5, 2, 4, 1], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [980473/
1048576, 490237/524288], [-2, -2]]]], [[3, 5, 2, 4, 2], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [
980473/1048576, 490237/524288], [-1530309/2097152, -382577/524288]]]], [[3, 5,
2, 4, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v
^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [980473/1048576, 490237/
524288], [0, 0]]]], [[3, 5, 2, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [980473/1048576, 490237/
524288], [382577/524288, 765155/1048576]]]], [[3, 5, 2, 4, 5], [And(-2^(1/2) <
v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u
^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [
980473/1048576, 490237/524288], [2, 2]]]], [[3, 11, 5, 6, 1], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2
+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [149551/524288, 299103/1048576], [-2, -2]]]], [[3, 11, 5, 6, 2], [And
(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-\
1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [149551/524288, 299103/1048576], [-1374407/2097152, -687203/
1048576]]]], [[3, 11, 5, 6, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[149551/524288, 299103/1048576], [0, 0]]]], [[3, 11, 5, 6, 4], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2
+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[149551/524288, 299103/1048576], [687203/1048576, 171801/262144]]]], [[3, 11,
5, 6, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x
,x < -u^2+v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
374737/524288, -374737/524288], [149551/524288, 299103/1048576], [2, 2]]]], [[
3, 13, 2, 7, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [3, 3], [0, 0]]]], [[3, 14, 4, 2, 1], [And(-2^(1/2) < v,v <
-1), u = (v^2+1)^(1/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [-1, -1], [-3, -3]]]], [[3, 14, 4, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[3, 14, 4, 2, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1, -1], [-1, -1], [0, 0]]]], [[3, 14, 4, 2, 4], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1, -1]
, [-1, -1], [741455/524288, 1482911/1048576]]]], [[3, 14, 4, 2, 5], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1, -1], [-1, -1], [3, 3]]]], [[3, 15, 10, 1, 1], [And(-2^(1/2) < v
,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z <
-(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327
/524288, 898327/524288], [1, 1], [-5, -5], [-3, -3]]]], [[3, 15, 10, 1, 2], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y <
-u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [-5, -5], [-2, -2]]]], [[3,
15, 10, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [1, 1], [-5, -5], [0, 0]]]], [[3, 15, 10, 1, 4], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-
y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [1, 1], [-5, -5], [2, 2]]]], [[3, 15, 10, 1, 5], [And(
-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^
2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [-5, -5], [3, 3]]]], [[4, 4,
4, 6, 1], [v = -1, u = -2^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-1,
-1], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-1, -1]]]], [[4, 4
, 4, 6, 2], [v = -1, u = -2^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-1
, -1], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [0, 0]]]], [[4, 4
, 4, 6, 3], [v = -1, u = -2^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1
, -1], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [1, 1]]]], [[4, 5
, 10, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,y < -1),
z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [-2, -2]]]], [[4, 5, 
10, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,y < -1), z
= -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [-273157/524288, -\
1092627/2097152]]]], [[4, 5, 10, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), x =
1, And(u^2-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
2666417/2097152, -2666417/2097152], [-1/4194304, -1/4194304]]]], [[4, 5, 10, 5
, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,y < -1), z = (-y
-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [
1, 1], [-2666417/2097152, -2666417/2097152], [546313/1048576, 273157/524288]]]
], [[4, 5, 10, 5, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,
y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [2, 2]]]], [[4
, 10, 4, 3, 1], [v = -1, u = 1, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[4, 10,
4, 3, 2], [v = -1, u = 1, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [0, 0], [-1/2, -1/2], [-1482911/2097152, -\
741455/1048576]]]], [[4, 10, 4, 3, 3], [v = -1, u = 1, x = 0, And(-1 < y,y < 0
), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [0
, 0], [-1/2, -1/2], [0, 0]]]], [[4, 10, 4, 3, 4], [v = -1, u = 1, x = 0, And(-\
1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [0, 0], [-1/
2, -1/2], [741455/1048576, 46341/65536]]]], [[4, 10, 4, 3, 5], [v = -1, u = 1,
x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1],
[0, 0], [-1/2, -1/2], [2, 2]]]], [[4, 11, 11, 7, 1], [v = -1, And(1 < u,u < 2^
(1/2)), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[5, 2, 7, 6, 1], [And
(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[5
, 4, 1, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y = 0, z < -(-x
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [
-3, -3], [0, 0], [-3, -3]]]], [[5, 4, 1, 2, 2], [And(-1 < v,v < 0), u = -(v^2+
1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 4, 1, 2, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -\
1/2], [-146543/131072, -1172343/1048576], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[5, 4, 1, 2, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2,
y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[5,
4, 1, 2, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x < -2, y = 0, (-x)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-3,
-3], [0, 0], [3, 3]]]], [[5, 11, 9, 2, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144
], [1534619/2097152, 1534619/2097152], [-418813/131072, -3350503/1048576], [-3
, -3]]]], [[5, 11, 9, 2, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1534619/
2097152, 1534619/2097152], [-418813/131072, -3350503/1048576], [-3291611/
2097152, -1645805/1048576]]]], [[5, 11, 9, 2, 3], [And(-1 < v,v < 0), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-\
418813/131072, -3350503/1048576], [0, 0]]]], [[5, 11, 9, 2, 4], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-418813/131072, -\
3350503/1048576], [1645805/1048576, 822903/524288]]]], [[5, 11, 9, 2, 5], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x
< 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-418813/
131072, -3350503/1048576], [3, 3]]]], [[5, 13, 2, 5, 1], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z],
[regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39/4], [109/8, 109/8], [0, 0]]
]], [[6, 5, 9, 6, 1], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y = -x, z <
0], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]
]], [[6, 5, 9, 6, 2], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y = -x, z =
0], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[6, 5, 9, 6, 3], [v = 0, And(-1 < u,u < 0), And(0 < x,x < 1), y = -x, 0 < z
], [regular_chain, [[0, 0], [-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]],
[[6, 7, 6, 5, 1], [v = 0, And(0 < u,u < 1), x = u^2-1, And(0 < y,y < -u^2+1),
z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4], [3/
8, 3/8], [-2, -2]]]], [[6, 7, 6, 5, 2], [v = 0, And(0 < u,u < 1), x = u^2-1, 
And(0 < y,y < -u^2+1), z = -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2,
1/2], [-3/4, -3/4], [3/8, 3/8], [-1284239/2097152, -642119/1048576]]]], [[6, 7
, 6, 5, 3], [v = 0, And(0 < u,u < 1), x = u^2-1, And(0 < y,y < -u^2+1), And(-(
-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2
], [-3/4, -3/4], [3/8, 3/8], [0, 0]]]], [[6, 7, 6, 5, 4], [v = 0, And(0 < u,u
< 1), x = u^2-1, And(0 < y,y < -u^2+1), z = (-u^2-y+1)^(1/2)], [regular_chain,
[[0, 0], [1/2, 1/2], [-3/4, -3/4], [3/8, 3/8], [642119/1048576, 80265/131072]]
]], [[6, 7, 6, 5, 5], [v = 0, And(0 < u,u < 1), x = u^2-1, And(0 < y,y < -u^2+
1), (-u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3/4, -3/4],
[3/8, 3/8], [2, 2]]]], [[6, 11, 7, 3, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1
), And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3,
3], [1/2, 1/2], [-11/2, -11/2], [-4, -4]]]], [[6, 11, 7, 3, 2], [v = 0, 2^(1/2
) < u, And(0 < x,x < 1), And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-11/2, -11/2], [-146543/65536, -\
2344687/1048576]]]], [[6, 11, 7, 3, 3], [v = 0, 2^(1/2) < u, And(0 < x,x < 1),
And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-11/2, -11/2], [0, 0]]]], [[6, 11
, 7, 3, 4], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), And(-u^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [-11/2, -11/2],
[2344687/1048576, 146543/65536]]]], [[6, 11, 7, 3, 5], [v = 0, 2^(1/2) < u, 
And(0 < x,x < 1), And(-u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [3, 3], [1/2, 1/2], [-11/2, -11/2], [4, 4]]]], [[7, 1, 9, 6, 1], [And
(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [0, 0], [0, 0]]]], [[7, 7,
11, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y
< -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2,
2], [-3, -3], [-2, -2]]]], [[7, 7, 11, 3, 2], [And(0 < v,v < 1), And(-v < u,u
< v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-3, -3], [-1, -1]]]], [[7, 7, 11,
3, 3], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -u
^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2,
1/2], [0, 0], [2, 2], [-3, -3], [0, 0]]]], [[7, 7, 11, 3, 4], [And(0 < v,v < 1
), And(-v < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [2, 2], [-3, -3], [1, 1]]]], [[7
, 7, 11, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), 1 < x, And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [
2, 2], [-3, -3], [2, 2]]]], [[7, 9, 8, 4, 1], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-624419/1048576, -\
1248837/2097152], [-2, -2]]]], [[7, 9, 8, 4, 2], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-\
624419/1048576, -1248837/2097152], [-1618333/2097152, -3236665/4194304]]]], [[
7, 9, 8, 4, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^
2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-624419/1048576, -\
1248837/2097152], [-1/8388608, -1/8388608]]]], [[7, 9, 8, 4, 4], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/
2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [0, 0],
[-624419/1048576, -1248837/2097152], [404583/524288, 809167/1048576]]]], [[7,
9, 8, 4, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v
^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [0, 0], [-624419/1048576, -1248837/2097152], [2, 2]]]], [[7,
11, 2, 2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [-\
3, -3]]]], [[7, 11, 2, 2, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288
], [0, 0], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 2, 2, 3], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [0, 0]
, [0, 0]]]], [[7, 11, 2, 2, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/
524288], [0, 0], [1645805/1048576, 822903/524288]]]], [[7, 11, 2, 2, 5], [And(
0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-2583195/1048576, -1291597/524288], [0, 0], [3, 3]]]], [[7, 12, 4, 3
, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-1, -1], [-3,
-3]]]], [[7, 12, 4, 3, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(-\
2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1,
-1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[7, 12, 4, 3, 3], [And(
0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-1, -\
1], [0, 0]]]], [[7, 12, 4, 3, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1
, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2]
, [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[7, 12, 4, 3, 5],
[And(0 < v,v < 1), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1, -1], [-1, -1], [3, 3]]]], [[
8, 5, 2, 4, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 2*u^2-2, z < -
(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576]
, [-1527887/1048576, -763943/524288], [958621/1048576, 479311/524288], [-2, -2
]]]], [[8, 5, 2, 4, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 2*u^2-\
2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1527887/1048576, -763943/524288], [958621/1048576, 479311/524288],
[-772605/1048576, -1545209/2097152]]]], [[8, 5, 2, 4, 3], [v = 1, And(-2^(1/2)
< u,u < -1), x = -u^2, y = 2*u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2)
)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [958621/1048576, 479311/524288], [-1/4194304, -1/
4194304]]]], [[8, 5, 2, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y =
2*u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [958621/1048576, 479311/
524288], [193151/262144, 772605/1048576]]]], [[8, 5, 2, 4, 5], [v = 1, And(-2^
(1/2) < u,u < -1), x = -u^2, y = 2*u^2-2, (-u^2+2)^(1/2) < z], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/
524288], [958621/1048576, 479311/524288], [2, 2]]]], [[8, 6, 5, 6, 1], [v = 1,
u = -1, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1, 1], [-1, -1], [1
/2, 1/2], [0, 0], [0, 0]]]], [[8, 11, 4, 1, 1], [v = 1, And(1 < u,u < 2^(1/2))
, x = -1, y < -u^2+1, z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 11, 4, 1, 2],
[v = 1, And(1 < u,u < 2^(1/2)), x = -1, y < -u^2+1, z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2]
, [-1816187/1048576, -3632373/2097152]]]], [[8, 11, 4, 1, 3], [v = 1, And(1 <
u,u < 2^(1/2)), x = -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[8, 11, 4, 1, 4], [v = 1, And(1 < u,u < 2^(1/2
)), x = -1, y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576
]]]], [[8, 11, 4, 1, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y < -u^2+1, (
1-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1, -1], [-2, -2], [3, 3]]]], [[8, 12, 7, 5, 1], [v = 1, u = 2^(1/2), And(0 <
x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [741455/524288,
1482911/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9, 3, 4, 3, 1], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u
^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1550541/
2097152, -1550541/2097152], [-3, -3]]]], [[9, 3, 4, 3, 2], [And(1 < v,v < 2^(1
/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1, -1], [-1550541/2097152, -1550541/
2097152], [-1382911/1048576, -691455/524288]]]], [[9, 3, 4, 3, 3], [And(1 < v,
v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2
< y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [
-1550541/2097152, -1550541/2097152], [0, 0]]]], [[9, 3, 4, 3, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 <
y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1550541/2097152, -\
1550541/2097152], [691455/524288, 1382911/1048576]]]], [[9, 3, 4, 3, 5], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u
^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1550541/
2097152, -1550541/2097152], [3, 3]]]], [[9, 4, 7, 7, 1], [And(1 < v,v < 2^(1/2
)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1
/2], [1, 1], [0, 0]]]], [[9, 12, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, x =
-1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1/2, 1/2], [-\
2, -2]]]], [[9, 12, 2, 3, 2], [And(1 < v,v < 2^(1/2)), u = v, x = -1, And(0 <
y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[9, 12, 2, 3, 3], [And(1 < v,v < 2^(1/2)), u =
v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[9, 12, 2, 3, 4], [And(1 < v,v < 2
^(1/2)), u = v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[9, 12, 2, 3, 5], [And(1 < v
,v < 2^(1/2)), u = v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[9, 13, 9, 9, 1], [And(1 < v,v < 2
^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 2, 5, 8, 1], [v = 2^(1/2), u =
-2, And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[10, 3, 10,
2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = -u^2, z < -(u^2-1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-3, -3]]]], [[
10, 3, 10, 2, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = -u^2, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-\
825991/524288, -3303963/2097152]]]], [[10, 3, 10, 2, 3], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-1/4194304, -1/
4194304]]]], [[10, 3, 10, 2, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1
, y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [1, 1], [-912799/262144, -\
3651195/1048576], [1651981/1048576, 825991/524288]]]], [[10, 3, 10, 2, 5], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [1, 1], [-912799/262144, -3651195/1048576], [3, 3]]]], [[10, 8, 4, 6
, 1], [v = 2^(1/2), u = -1, x = -1, y = 1, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [1, 1], [-1, -1]]]], [[10, 8, 4,
6, 2], [v = 2^(1/2), u = -1, x = -1, y = 1, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [1, 1], [0, 0]]]], [[10, 8, 4, 6
, 3], [v = 2^(1/2), u = -1, x = -1, y = 1, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1, -1], [1, 1], [1, 1]]]], [[10, 9, 10,
1, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, y < u^2-4, z < -(-y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [-5,
-5], [-3, -3]]]], [[10, 9, 10, 1, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = 1,
y < u^2-4, z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [1, 1], [-5, -5], [-2, -2]]]], [[10, 9, 10, 1, 3], [v
= 2^(1/2), And(-1 < u,u < 0), x = 1, y < u^2-4, And(-(-y-1)^(1/2) < z,z < (-y-\
1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [
1, 1], [-5, -5], [0, 0]]]], [[10, 9, 10, 1, 4], [v = 2^(1/2), And(-1 < u,u < 0
), x = 1, y < u^2-4, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [1, 1], [-5, -5], [2, 2]]]], [[10, 9, 10, 1, 5
], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, y < u^2-4, (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [-5, -\
5], [3, 3]]]], [[10, 15, 11, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 1 <
x, And(-x < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [2, 2], [-1, -1], [0, 0]]]], [[10, 17,
6, 6, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y = u^2-3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [505467/1048576, 126367/262144], [0, 0]]]], [[10, 18, 7, 8,
1], [v = 2^(1/2), u = 2, And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[
10, 19, 11, 9, 1], [v = 2^(1/2), 2 < u, u^2-3 < x, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [7, 7], [1, 1], [0,
0]]]], [[11, 7, 3, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^
2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-\
2, -2], [-3, -3]]]], [[11, 7, 3, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [-2, -2], [-1891417/1048576, -7565667/4194304]]]], [[11, 7, 3
, 1, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288
], [-2, -2], [-3/8388608, -3/8388608]]]], [[11, 7, 3, 1, 4], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
-657289/524288, -657289/524288], [-2, -2], [236427/131072, 1891417/1048576]]]]
, [[11, 7, 3, 1, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2
-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-2, -2
], [3, 3]]]], [[11, 8, 6, 1, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y <
-2, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [0, 0], [-3, -3], [-3, -3]]]], [[11, 8, 6, 1, 2], [2^(1/2) < v, u =
-(v^2-1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 8, 6, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), x =
0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [0, 0], [-3, -3], [-1/4194304, -1/4194304
]]]], [[11, 8, 6, 1, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = 0, y < -2, z =
(-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [
0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[11, 8, 6, 1, 5], [2^(1
/2) < v, u = -(v^2-1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [
[3, 3], [-2965821/1048576, -11863283/4194304], [0, 0], [-3, -3], [3, 3]]]], [[
11, 12, 5, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(-1 < x,x < 0), 1-x < y,
z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [-1/2, -1/2],
[3, 3], [0, 0]]]], [[11, 13, 10, 3, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-1181835/
524288, -1181835/524288], [-3, -3]]]], [[11, 13, 10, 3, 2], [2^(1/2) < v, And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(
-y-1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1
], [-1181835/524288, -1181835/524288], [-1174299/1048576, -587149/524288]]]],
[[11, 13, 10, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x
= 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1], [-1181835/
524288, -1181835/524288], [0, 0]]]], [[11, 13, 10, 3, 4], [2^(1/2) < v, And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = (-y-\
1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [1, 1],
[-1181835/524288, -1181835/524288], [587149/524288, 1174299/1048576]]]], [[11,
13, 10, 3, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1,
And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [1, 1], [-1181835/524288, -1181835/524288], [
3, 3]]]], [[11, 20, 3, 2, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x <
-1), y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-2, -2], [-1, -1], [-3, -3]]]], [[11, 20, 3, 2, 2], [2^(1/2)
< v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [-1, -1],
[-1816187/1048576, -3632373/2097152]]]], [[11, 20, 3, 2, 3], [2^(1/2) < v, u =
(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2], [-1, -1],
[-1/4194304, -1/4194304]]]], [[11, 20, 3, 2, 4], [2^(1/2) < v, u = (v^2+2)^(1/
2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-2, -2], [-1, -1], [908093/524288, 1816187/
1048576]]]], [[11, 20, 3, 2, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x
< -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-2, -2], [-1, -1], [3, 3]]]], [[11, 21, 7, 3, 1], [2^(1/2) <
v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-9, -9], [-4, -4]]]]
, [[11, 21, 7, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-
u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5],
[1/2, 1/2], [-9, -9], [-24456785/8388608, -1528549/524288]]]], [[11, 21, 7, 3,
3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5,
5], [1/2, 1/2], [-9, -9], [0, 0]]]], [[11, 21, 7, 3, 4], [2^(1/2) < v, (v^2+2)
^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-9, -9], [1528549/524288, 
3057099/1048576]]]], [[11, 21, 7, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(
0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [5, 5], [1/2, 1/2], [-9, -9], [4, 4]]]], [[1, 1, 8, 4, 1], [v < -2^(1
/2), u < -(v^2+2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [-5
, -5], [1, 1], [-1, -1], [-1, -1]]]], [[1, 1, 8, 4, 2], [v < -2^(1/2), u < -(v
^2+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [-5, -5], [1, 1
], [-1, -1], [0, 0]]]], [[1, 1, 8, 4, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x
= 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [-1, -1], [1
, 1]]]], [[1, 3, 1, 5, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [-3, -3]]]], [[1, 3, 1, 5, 2], [v < -2^(1/2),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [1443353/524288, 1443353/524288], [-1170947/
1048576, -585473/524288]]]], [[1, 3, 1, 5, 3], [v < -2^(1/2), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [1443353/524288, 1443353/524288], [0, 0]
]]], [[1, 3, 1, 5, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [585473/524288, 1170947/1048576]]]], [[1, 3,
1, 5, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+
v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1443353/524288, 1443353/
524288], [3, 3]]]], [[1, 9, 3, 4, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [0, 0], [-3, -3]]]], [[1, 9, 3, 4, 2], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y =
0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [0, 0], [-347197/262144, -\
1388787/1048576]]]], [[1, 9, 3, 4, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (
-x)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [-7357527/4194304, -7357527/4194304], [0, 0], [0, 0]]]], [[1, 9, 3, 4, 4], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608,
-22960369/8388608], [-7357527/4194304, -7357527/4194304], [0, 0], [1388787/
1048576, 347197/262144]]]], [[1, 9, 3, 4, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [0, 0], [3, 3]]]], [[1, 10, 5, 3, 1], [v < -2^(1/2
), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/
2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -\
1/2], [-5/4, -5/4], [-3, -3]]]], [[1, 10, 5, 3, 2], [v < -2^(1/2), u = -(v^2-2
)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[1, 10, 5, 3, 3], [v < -2^(
1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[1, 10, 5, 3, 4], [v
< -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-
x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[1, 10, 5, 3, 5
], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0),
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[1, 14, 8, 3, 1], [v < -2^(1
/2), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [-2, -2],
[-2, -2]]]], [[1, 14, 8, 3, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, And(-\
3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144,
2965821/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[1, 14, 8, 3, 3], [v < -2^(1
/2), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (
-y-1)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1
, 1], [-2, -2], [0, 0]]]], [[1, 14, 8, 3, 4], [v < -2^(1/2), u = (v^2-1)^(1/2)
, x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1, 1], [-2, -2], [1, 1]]]], [[1, 14, 8, 3, 5
], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) <
z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [-2,
-2], [2, 2]]]], [[1, 16, 1, 6, 1], [v < -2^(1/2), u = -v, x < -1, y = -x, z <
0], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [2, 2], [-1, -1]]]], [[1, 16,
1, 6, 2], [v < -2^(1/2), u = -v, x < -1, y = -x, z = 0], [regular_chain, [[-3,
-3], [3, 3], [-2, -2], [2, 2], [0, 0]]]], [[1, 16, 1, 6, 3], [v < -2^(1/2), u
= -v, x < -1, y = -x, 0 < z], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [2,
2], [1, 1]]]], [[2, 1, 1, 5, 1], [v = -2^(1/2), u < -2, x < -u^2+1, And(-u^2-x
+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9, -9], [5, 5], [-3, -3]]]], [[2, 1, 1, 5, 2], [v
= -2^(1/2), u < -2, x < -u^2+1, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [5, 5
], [-2, -2]]]], [[2, 1, 1, 5, 3], [v = -2^(1/2), u < -2, x < -u^2+1, And(-u^2-
x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [5, 5], [0, 0]]]], [[2,
1, 1, 5, 4], [v = -2^(1/2), u < -2, x < -u^2+1, And(-u^2-x+1 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-9, -9], [5, 5], [2, 2]]]], [[2, 1, 1, 5, 5], [v = -2^(1/2), u < -2, x < -u^2
+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-9, -9], [5, 5], [3, 3]]]], [[2, 2, 3, 6,
1], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y = -x, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [2, 2], [-1, -1]]]],
[[2, 2, 3, 6, 2], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [2, 2]
, [0, 0]]]], [[2, 2, 3, 6, 3], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y =
-x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2
, -2], [2, 2], [1, 1]]]], [[2, 9, 9, 6, 1], [v = -2^(1/2), And(-1 < u,u < 0),
And(-u^2+1 < x,x < 1), y = -u^2-x+1, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [-1/8, -1/8], [0, 0]]]], [
[2, 11, 2, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, And(-u^2+3 < y,y
< -2*u^2+4), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2
, 1/2], [-11/4, -11/4], [25/8, 25/8], [0, 0]]]], [[2, 17, 4, 4, 1], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, y = 0, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1]
, [0, 0], [-2, -2]]]], [[2, 17, 4, 4, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), x = -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [3913339/2097152, 3913339/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[2, 17,
4, 4, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = 0, And(-1 < z,z <
1)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-1, -1], [0, 0], [0, 0]]]], [[2, 17, 4, 4, 4], [v = -2^(1/2
), And(3^(1/2) < u,u < 2), x = -1, y = 0, z = 1], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [0, 0]
, [1, 1]]]], [[2, 17, 4, 4, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1,
y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-1, -1], [0, 0], [2, 2]]]], [[2, 18, 6, 3, 1], [v
= -2^(1/2), u = 2, x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [-3/2, -3/2], [-3, -3]]]]
, [[2, 18, 6, 3, 2], [v = -2^(1/2), u = 2, x = 0, And(-3 < y,y < 0), z = -(-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0],
[-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[2, 18, 6, 3, 3], [v = -
2^(1/2), u = 2, x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [-3/2,
-3/2], [0, 0]]]], [[2, 18, 6, 3, 4], [v = -2^(1/2), u = 2, x = 0, And(-3 < y,y
< 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2
, 2], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[2, 18, 6, 3
, 5], [v = -2^(1/2), u = 2, x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [-3/2, -3/
2], [3, 3]]]], [[3, 3, 7, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [250983/2097152
, 250983/2097152], [0, 0]]]], [[3, 5, 2, 6, 1], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [384703/262144, 1538813/
1048576], [-1, -1]]]], [[3, 5, 2, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [384703/262144, 1538813/1048576], [0, 0]]]],
[[3, 5, 2, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
= -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -\
384703/262144], [384703/262144, 1538813/1048576], [1, 1]]]], [[3, 11, 4, 5, 1]
, [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(0 < y,
y < -u^2+v^2), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/524288, 149551/
524288], [-2, -2]]]], [[3, 11, 4, 5, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [149551/524288, 149551/524288], [-886499/1048576, -3545995
/4194304]]]], [[3, 11, 4, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-1, -1], [149551/524288, 149551/524288], [-3/8388608, -3/
8388608]]]], [[3, 11, 4, 5, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), z = (1-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1,
-1], [149551/524288, 149551/524288], [443249/524288, 886499/1048576]]]], [[3,
11, 4, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1
, And(0 < y,y < -u^2+v^2), (1-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [
149551/524288, 149551/524288], [2, 2]]]], [[3, 13, 1, 2, 1], [And(-2^(1/2) < v
,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[3, 13, 1, 2, 2], [And(-2^(1
/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[3, 13, 1, 2, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2
+1)^(1/2)), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[3, 13, 1, 2
, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1
, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1454701/1048576, 1454701/1048576], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[3, 13, 1, 2, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,
u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3,
-3], [0, 0], [3, 3]]]], [[3, 14, 6, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2
+1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-2, -2], [-3, -3]
]]], [[3, 14, 6, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, y
= -2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [0, 0], [-2, -2], [-1482911/1048576, -741455/
524288]]]], [[3, 14, 6, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x
= 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-2, -2]
, [0, 0]]]], [[3, 14, 6, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [0, 0], [-2, -2], [741455/524288,
1482911/1048576]]]], [[3, 14, 6, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)
^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-2, -2], [3, 3]]]
], [[3, 15, 11, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [2, 2
], [-2348135/524288, -4696269/1048576], [-3, -3]]]], [[3, 15, 11, 2, 2], [And(
-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-2348135/524288, -\
4696269/1048576], [-3301741/2097152, -825435/524288]]]], [[3, 15, 11, 2, 3], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y =
-u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-2348135/524288, -4696269/1048576], [0, 0]]]], [[3, 15, 11,
2, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1
< x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-2348135/
524288, -4696269/1048576], [825435/524288, 1650871/1048576]]]], [[3, 15, 11, 2
, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-2348135/
524288, -4696269/1048576], [3, 3]]]], [[4, 4, 4, 4, 1], [v = -1, u = -2^(1/2),
x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-1, -1], [0, 0], [-2, -2]]]], [[4, 4, 4, 4, 2], [v = -1, u = -2^(1/2
), x = -1, y = 0, z = -1], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [0, 0], [-1, -1]]]], [[4, 4, 4, 4, 3], [v = -1, u =
-2^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [0, 0]]]], [[4, 4, 4, 4, 4
], [v = -1, u = -2^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [1, 1]]]], [[4, 4, 4, 4, 5
], [v = -1, u = -2^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1, -1], [0, 0], [2, 2]]]], [[4, 5, 9, 8, 1
], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [0
, 0], [0, 0]]]], [[4, 10, 6, 5, 1], [v = -1, u = 1, x = 1, And(-1 < y,y < 0),
z = z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[
4, 12, 2, 1, 1], [v = -1, u = 2^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1]
, [-3, -3]]]], [[4, 12, 2, 1, 2], [v = -1, u = 2^(1/2), x = -2, y < 0, z = -(2
-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2,
-2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[4, 12, 2, 1, 3], [v
= -1, u = 2^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1]
, [-1/4194304, -1/4194304]]]], [[4, 12, 2, 1, 4], [v = -1, u = 2^(1/2), x = -2
, y < 0, z = (2-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[4, 12, 2,
1, 5], [v = -1, u = 2^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[
5, 2, 7, 4, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y =
-x, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-1/2, -1
/2], [-1, -1]]]], [[5, 2, 7, 4, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2],
[1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[5, 2, 7, 4, 3], [And(-1 < v,v < 0), u =
-(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2
], [-3/2, -3/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[5, 3, 11, 5, 1], [And(
-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-x < y,y
< u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [2, 2], [-1854131/1048576, -1854131/1048576], [0, 0]]]], [[5,
11, 9, 8, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [0, 0], [0,
0]]]], [[5, 13, 2, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = -u^2+v^2-\
1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-39/4, -39
/4], [19, 19], [0, 0]]]], [[6, 5, 8, 3, 1], [v = 0, And(-1 < u,u < 0), x = 0,
And(-u^2-1 < y,y < u^2-1), z < -(-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -\
1/2], [0, 0], [-1, -1], [-2, -2]]]], [[6, 5, 8, 3, 2], [v = 0, And(-1 < u,u <
0), x = 0, And(-u^2-1 < y,y < u^2-1), z = -(-y)^(1/2)], [regular_chain, [[0, 0
], [-1/2, -1/2], [0, 0], [-1, -1], [-1, -1]]]], [[6, 5, 8, 3, 3], [v = 0, And(
-1 < u,u < 0), x = 0, And(-u^2-1 < y,y < u^2-1), And(-(-y)^(1/2) < z,z < (-y)^
(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-1, -1], [0, 0]]]], [
[6, 5, 8, 3, 4], [v = 0, And(-1 < u,u < 0), x = 0, And(-u^2-1 < y,y < u^2-1),
z = (-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-1, -1], [1,
1]]]], [[6, 5, 8, 3, 5], [v = 0, And(-1 < u,u < 0), x = 0, And(-u^2-1 < y,y <
u^2-1), (-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-1, -\
1], [2, 2]]]], [[6, 7, 4, 9, 1], [v = 0, And(0 < u,u < 1), x = -1, 1 < y, z =
z], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [2, 2], [0, 0]]]], [[6, 11,
7, 9, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), u^2-x-1 < y, z = z], [
regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [9, 9], [0, 0]]]], [[7, 1, 9, 8, 1
], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = u^2-v^
2-x-1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [27/8, 27/
8], [0, 0]]]], [[7, 7, 10, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1,
y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0],
[1, 1], [-9/4, -9/4], [-3, -3]]]], [[7, 7, 10, 2, 2], [And(0 < v,v < 1), And(-
v < u,u < v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [1, 1], [-9/4, -9/4], [-146543/131072, -1172343/1048576]]
]], [[7, 7, 10, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = u^2-v^
2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1
/2, 1/2], [0, 0], [1, 1], [-9/4, -9/4], [0, 0]]]], [[7, 7, 10, 2, 4], [And(0 <
v,v < 1), And(-v < u,u < v), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-9/4, -9/4], [1172343/1048576, 
146543/131072]]]], [[7, 7, 10, 2, 5], [And(0 < v,v < 1), And(-v < u,u < v), x
= 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0,
0], [1, 1], [-9/4, -9/4], [3, 3]]]], [[7, 9, 6, 6, 1], [And(0 < v,v < 1), And(
v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [312209/524288, 624419/1048576], [-1, -1]]]], [[7,
9, 6, 6, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y
= -u^2+v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-624419/1048576, -1248837/2097152], [312209/524288, 624419/1048576]
, [0, 0]]]], [[7, 9, 6, 6, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[1/2, 1/2], [1696631
/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/
524288, 624419/1048576], [1, 1]]]], [[7, 11, 3, 5, 1], [And(0 < v,v < 1), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151
/262144], [-1815885/1048576, -1815885/1048576], [1815885/2097152, 1815885/
2097152], [-2, -2]]]], [[7, 11, 3, 5, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-\
1815885/1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [-\
7805831/8388608, -3902915/4194304]]]], [[7, 11, 3, 5, 3], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/
2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [
1815885/2097152, 1815885/2097152], [-3/8388608, -3/8388608]]]], [[7, 11, 3, 5,
4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [
1815885/2097152, 1815885/2097152], [60983/65536, 975729/1048576]]]], [[7, 11,
3, 5, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^
2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576]
, [1815885/2097152, 1815885/2097152], [2, 2]]]], [[7, 12, 5, 8, 1], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain
, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[8, 5, 1, 7,
1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2-x-2 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-3, -3], [5722191/2097152, 5722191/2097152], [-2, -2]]]], [[8, 5, 1, 7, 2], [
v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2-x-2 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3,
-3], [5722191/2097152, 5722191/2097152], [-273157/524288, -1092627/2097152]]]]
, [[8, 5, 1, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2-x-2 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [-3, -3], [5722191/2097152, 5722191/
2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 1, 7, 4], [v = 1, And(-2^(1/2)
< u,u < -1), x < -u^2, And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
5722191/2097152, 5722191/2097152], [546313/1048576, 273157/524288]]]], [[8, 5,
1, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2-x-2 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3, -3], [5722191/2097152, 5722191/2097152], [2, 2]]]], [[8, 6, 5,
4, 1], [v = 1, u = -1, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1,
1], [-1, -1], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[8, 6, 5, 4, 2], [v = 1,
u = -1, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1, 1], [-1, -1], [
1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[8, 6, 5, 4, 3], [v = 1, u = -1, And(0 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-1/2
, -1/2], [1, 1]]]], [[8, 11, 5, 2, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1
< x,x < u^2-2), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [1265743/1048576
, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-359483/524288, -\
1437931/2097152], [-3, -3]]]], [[8, 11, 5, 2, 2], [v = 1, And(1 < u,u < 2^(1/2
)), And(-1 < x,x < u^2-2), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-\
359483/524288, -1437931/2097152], [-1265743/1048576, -1265743/1048576]]]], [[8
, 11, 5, 2, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -u^
2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-359483/524288, -1437931/
2097152], [0, 0]]]], [[8, 11, 5, 2, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-1
< x,x < u^2-2), y = -u^2-x, z = u], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-3235683/4194304, -3235683/4194304], [-359483/524288, -\
1437931/2097152], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 5, 2, 5], [v
= 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -u^2-x, u < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [-359483/524288, -1437931/2097152], [3, 3]]]], [[8, 12, 9,
5, 1], [v = 1, u = 2^(1/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain,
[[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0]]]], [[9, 3
, 3, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [911923/524288, 1823847/1048576], [-1, -1]]]], [[9
, 3, 3, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [911923/524288, 1823847/1048576], [0, 0]]]], [[9,
3, 3, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [911923/524288, 1823847/1048576], [1, 1]]]], [[9,
4, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), 
And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-410915/262144, -3287319/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9
, 12, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, x = -1, 1 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [2, 2], [0, 0]]]], [[9, 13, 10, 6, 1], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1],
[-1, -1], [-1, -1]]]], [[9, 13, 10, 6, 2], [And(1 < v,v < 2^(1/2)), And(v < u,
u < (v^2+1)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-1, -1], [0, 0]
]]], [[9, 13, 10, 6, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2))
, x = 1, y = -1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [1, 1], [-1, -1], [1, 1]]]], [[10, 2, 4, 3
, 1], [v = 2^(1/2), u = -2, x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-1, -1]
, [-3, -3]]]], [[10, 2, 4, 3, 2], [v = 2^(1/2), u = -2, x = -1, And(-2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[10, 2, 4, 3,
3], [v = 2^(1/2), u = -2, x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-\
1, -1], [-1, -1], [0, 0]]]], [[10, 2, 4, 3, 4], [v = 2^(1/2), u = -2, x = -1,
And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [
[10, 2, 4, 3, 5], [v = 2^(1/2), u = -2, x = -1, And(-2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [
-1, -1], [3, 3]]]], [[10, 3, 9, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
And(u^2-3 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511
/524288, 388511/524288], [-5, -5], [-4, -4]]]], [[10, 3, 9, 1, 2], [v = 2^(1/2
), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-5, -5], [-270497/131072, -\
2163975/1048576]]]], [[10, 3, 9, 1, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, And(u^2-3 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-5, -5], [0, 0]]]], [[10, 3
, 9, 1, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y <
-u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3913339/2097152, -3913339/2097152], [388511/524288, 388511/524288], [-5, -\
5], [2163975/1048576, 270497/131072]]]], [[10, 3, 9, 1, 5], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [-5, -5], [4, 4]]]], [[10, 8, 5, 1,
1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3,
-3], [-3, -3]]]], [[10, 8, 5, 1, 2], [v = 2^(1/2), u = -1, And(-1 < x,x < 0),
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1, -1], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[
10, 8, 5, 1, 3], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), y < -x-2, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[10, 8, 5, 1, 4], [v =
2^(1/2), u = -1, And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3,
-3], [980853/524288, 1961707/1048576]]]], [[10, 8, 5, 1, 5], [v = 2^(1/2), u =
-1, And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[10, 9
, 10, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, And(-u^2 < y,y < 0), z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [
-1/8, -1/8], [0, 0]]]], [[10, 15, 10, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/
2)), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-1297479/524288
, -2594957/1048576], [-3, -3]]]], [[10, 15, 10, 2, 2], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-\
1297479/524288, -2594957/1048576], [-1273381/1048576, -318345/262144]]]], [[10
, 15, 10, 2, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y = -u^2, And(-(
u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-1297479/524288, -\
2594957/1048576], [0, 0]]]], [[10, 15, 10, 2, 4], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x = 1, y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-1297479/
524288, -2594957/1048576], [318345/262144, 1273381/1048576]]]], [[10, 15, 10,
2, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y = -u^2, (u^2-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [1, 1], [-1297479/524288, -2594957/1048576], [3, 3]]]], [[10
, 17, 5, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [-2, -\
2]]]], [[10, 17, 5, 5, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x
< 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1/4, 1/4]
, [-1/2, -1/2]]]], [[10, 17, 5, 5, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 
And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339
/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 17, 5, 5, 4], [v = 2^(1/
2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 17, 5, 5, 5],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 18, 9, 2
, 1], [v = 2^(1/2), u = 2, 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [2, 2], [-5, -5], [-3, -3]]]], [[10,
18, 9, 2, 2], [v = 2^(1/2), u = 2, 1 < x, y = -x-3, z = -3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[10, 18, 9, 2, 3], [v = 2^(1/2), u = 2
, 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]
], [[10, 18, 9, 2, 4], [v = 2^(1/2), u = 2, 1 < x, y = -x-3, z = 3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [-5, -5], [
908093/524288, 1816187/1048576]]]], [[10, 18, 9, 2, 5], [v = 2^(1/2), u = 2, 1
< x, y = -x-3, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [2, 2], [2, 2], [-5, -5], [3, 3]]]], [[11, 1, 2, 5, 1], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [
regular_chain, [[3, 3], [-5, -5], [-17, -17], [49/2, 49/2], [0, 0]]]], [[11, 7
, 2, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0], [-3, -3]]]], [[
11, 7, 2, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1,
y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0], [-1287385/
1048576, -160923/131072]]]], [[11, 7, 2, 2, 3], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^
2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
-3161161/2097152, -395145/262144], [0, 0], [0, 0]]]], [[11, 7, 2, 2, 4], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
3161161/2097152, -395145/262144], [0, 0], [160923/131072, 1287385/1048576]]]],
[[11, 7, 2, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1
, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0], [3, 3]]]], [[11
, 8, 5, 6, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z
< 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -\
1/2], [1/2, 1/2], [-1, -1]]]], [[11, 8, 5, 6, 2], [2^(1/2) < v, u = -(v^2-1)^(
1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[11, 8, 5,
6, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
1/2, 1/2], [1, 1]]]], [[11, 12, 7, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And
(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[11, 12
, 7, 3, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[11, 12,
7, 3, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [1/2, 1/2], [-2, -2], [0, 0]]]], [[11, 12, 7, 3,
4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2,
1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[11, 12, 7, 3, 5], [2^(1
/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [
-2, -2], [3, 3]]]], [[11, 13, 11, 8, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [2, 2], [0, 0], [0, 0]]]], [[11, 20, 2, 3, 1], [2^(1/
2) < v, u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [3/2, 3/2
], [-3, -3]]]], [[11, 20, 2, 3, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, 
And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]]
, [[11, 20, 2, 3, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3
), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-3, -3], [3/2, 3/2], [0, 0]]]], [[11, 20, 2, 3, 4],
[2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [3/2, 3/2
], [642119/524288, 1284239/1048576]]]], [[11, 20, 2, 3, 5], [2^(1/2) < v, u =
(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[3
, 3], [3477733/1048576, 1738867/524288], [-3, -3], [3/2, 3/2], [3, 3]]]], [[11
, 21, 7, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^
2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-19,
-19], [-6, -6]]]], [[11, 21, 7, 1, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0
< x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5,
5], [1/2, 1/2], [-19, -19], [-281881/65536, -4510095/1048576]]]], [[11, 21, 7,
1, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [1/
2, 1/2], [-19, -19], [0, 0]]]], [[11, 21, 7, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2
) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain,
[[3, 3], [5, 5], [1/2, 1/2], [-19, -19], [4510095/1048576, 281881/65536]]]], [
[11, 21, 7, 1, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2
+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [1/2, 1/2], [-19
, -19], [6, 6]]]], [[1, 4, 4, 3, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1
, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[1, 4, 4, 3, 2]
, [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/
2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [
-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[1, 4, 4, 3, 3], [v < -2^
(1/2), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [
-1, -1], [-1/2, -1/2], [0, 0]]]], [[1, 4, 4, 3, 4], [v < -2^(1/2), u = -(v^2+1
)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3
], [-3315889/1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [642119/524288,
1284239/1048576]]]], [[1, 4, 4, 3, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x =
-1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[1, 5, 9, 7, 1],
[v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-x < y,y <
0), z = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2,
1/2], [-1/4, -1/4], [0, 0]]]], [[1, 11, 9, 4, 1], [v < -2^(1/2), And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y = -x, z < 0], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-9/2, -9/2], [-1, -1]]]], [[1,
11, 9, 4, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1
< x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[-3, -3], [0, 0], [9/2,
9/2], [-9/2, -9/2], [0, 0]]]], [[1, 11, 9, 4, 3], [v < -2^(1/2), And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-9/2, -9/2], [1, 1]]]], [[1, 13
, 2, 5, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v
^2-1, And(-u^2+v^2+1 < y,y < -2*u^2+2*v^2), z = z], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [5793413
/2097152, 5793413/2097152], [0, 0]]]], [[1, 17, 9, 5, 1], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2
, 1/2], [-197471/262144, -197471/262144], [-2, -2]]]], [[1, 17, 9, 5, 2], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144], [-527729/1048576
, -1055457/2097152]]]], [[1, 17, 9, 5, 3], [v < -2^(1/2), And(-v < u,u < (v^2+
1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [1/2, 1/2], [-197471/262144, -197471/262144], [-1/4194304, -1/4194304]]]],
[[1, 17, 9, 5, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144],
[32983/65536, 527729/1048576]]]], [[1, 17, 9, 5, 5], [v < -2^(1/2), And(-v < u
,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2]
, [-197471/262144, -197471/262144], [2, 2]]]], [[1, 19, 4, 4, 1], [v < -2^(1/2
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z < -1], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1], [0, 0]
, [-2, -2]]]], [[1, 19, 4, 4, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[1, 19, 4, 4, 3], [
v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, And(-1
< z,z < 1)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
1, -1], [0, 0], [0, 0]]]], [[1, 19, 4, 4, 4], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1, -1], [0, 0], [1, 1]]]], [[1, 19, 4, 4,
5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, 1
< z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1],
[0, 0], [2, 2]]]], [[2, 3, 7, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
And(0 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [252733/2097152, 252733/2097152], [0, 0]]]],
[[2, 5, 2, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, y = u^2-\
1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [773191/524288
, 1546383/1048576], [-1, -1]]]], [[2, 5, 2, 6, 2], [v = -2^(1/2), And(-3^(1/2)
< u,u < v), x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-1546383/1048576, -\
773191/524288], [773191/524288, 1546383/1048576], [0, 0]]]], [[2, 5, 2, 6, 3],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, y = u^2-1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [773191/524288, 1546383/
1048576], [1, 1]]]], [[2, 7, 1, 4, 1], [v = -2^(1/2), And(v < u,u < -1), x < u
^2-3, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/524288
, 1527887/1048576], [-3, -3]]]], [[2, 7, 1, 4, 2], [v = -2^(1/2), And(v < u,u
< -1), x < u^2-3, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [763943/524288, 1527887/1048576], [-1302471/1048576, -651235/524288]]]], [
[2, 7, 1, 4, 3], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y = u^2-x-3, And
(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/
524288, 1527887/1048576], [0, 0]]]], [[2, 7, 1, 4, 4], [v = -2^(1/2), And(v <
u,u < -1), x < u^2-3, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [763943/524288, 1527887/1048576], [651235/524288, 1302471/1048576]]]], [[2
, 7, 1, 4, 5], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y = u^2-x-3, (-u^2
+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-3, -3], [763943/524288, 1527887/1048576], [3, 3
]]]], [[2, 8, 4, 2, 1], [v = -2^(1/2), u = -1, x = -1, y = -1, z < -2^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-1,
-1], [-3, -3]]]], [[2, 8, 4, 2, 2], [v = -2^(1/2), u = -1, x = -1, y = -1, z =
-2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1,
-1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[2, 8, 4, 2, 3], [v = -
2^(1/2), u = -1, x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-1, -\
1], [0, 0]]]], [[2, 8, 4, 2, 4], [v = -2^(1/2), u = -1, x = -1, y = -1, z = 2^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1
], [-1, -1], [741455/524288, 1482911/1048576]]]], [[2, 8, 4, 2, 5], [v = -2^(1
/2), u = -1, x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [-1, -1], [-1, -1], [3, 3]]]], [[2, 14, 1, 6, 1], [
v = -2^(1/2), u = -v, x < -1, y = -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [2, 2],
[-1, -1]]]], [[2, 14, 1, 6, 2], [v = -2^(1/2), u = -v, x < -1, y = -x, z = 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [0, 0]]]], [[2, 14, 1, 6, 3], [v = -2^(1/2), u = -
v, x < -1, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [741455/524288, 1482911/1048576], [-2, -2], [2, 2], [1, 1]]]], [[2, 15, 9, 5
, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), And(u^2-x-3 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-799673/1048576, -\
799673/1048576], [-2, -2]]]], [[2, 15, 9, 5, 2], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-799673/1048576, -799673/1048576], [-268683/524288, -\
1074731/2097152]]]], [[2, 15, 9, 5, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152
, 3299097/2097152], [1/2, 1/2], [-799673/1048576, -799673/1048576], [-1/
4194304, -1/4194304]]]], [[2, 15, 9, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-799673/1048576, -799673/1048576], [537365/1048576, 
268683/524288]]]], [[2, 15, 9, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2,
1/2], [-799673/1048576, -799673/1048576], [2, 2]]]], [[3, 1, 1, 5, 1], [And(-2
^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-10, -10], [12013647/2097152, 12013647/2097152], [-4, -4]
]]], [[3, 1, 1, 5, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2
+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [12013647/2097152, 
12013647/2097152], [-2167143/1048576, -1083571/524288]]]], [[3, 1, 1, 5, 3], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [12013647/2097152, 
12013647/2097152], [0, 0]]]], [[3, 1, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10]
, [12013647/2097152, 12013647/2097152], [1083571/524288, 2167143/1048576]]]],
[[3, 1, 1, 5, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-\
1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3, -3], [-10, -10], [12013647/2097152, 12013647
/2097152], [4, 4]]]], [[3, 2, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2
)^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2
, 2], [-1, -1]]]], [[3, 2, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(
1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [0,
0]]]], [[3, 2, 3, 6, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3
< x,x < -1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [2, 2], [1, 1]]]], [
[3, 8, 4, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y = -1
, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [-1, -1], [-3, -3]]]], [[3, 8, 4,
2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y = -1, z = -2^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [-1, -1], [-1482911/1048576, -741455/
524288]]]], [[3, 8, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x
= -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1,
-1], [0, 0]]]], [[3, 8, 4, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2
), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1, -1], [741455/
524288, 1482911/1048576]]]], [[3, 8, 4, 2, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1,
-1], [3, 3]]]], [[3, 9, 9, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2
) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/
2097152, 1527887/2097152], [-284633/1048576, -35579/131072], [0, 0]]]], [[3, 
17, 4, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v
^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [-1, -1], [-7909297/2097152, -7909297/2097152], [-4, -4]]]]
, [[3, 17, 4, 3, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And
(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1, -1], [-7909297/2097152, -7909297/2097152], [-\
286309/131072, -2290471/1048576]]]], [[3, 17, 4, 3, 3], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,
z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3,
3], [-1, -1], [-7909297/2097152, -7909297/2097152], [0, 0]]]], [[3, 17, 4, 3,
4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y <
0), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
3, 3], [-1, -1], [-7909297/2097152, -7909297/2097152], [2290471/1048576, 
286309/131072]]]], [[3, 17, 4, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2)
< u, x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-7909297/2097152, -\
7909297/2097152], [4, 4]]]], [[4, 1, 6, 2, 1], [v = -1, u < -3^(1/2), x = 0, y
= -u^2, z < u], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [-9, -9], [-4, -4
]]]], [[4, 1, 6, 2, 2], [v = -1, u < -3^(1/2), x = 0, y = -u^2, z = u], [
regular_chain, [[-1, -1], [-3, -3], [0, 0], [-9, -9], [-3, -3]]]], [[4, 1, 6,
2, 3], [v = -1, u < -3^(1/2), x = 0, y = -u^2, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-3, -3], [0, 0], [-9, -9], [0, 0]]]], [[4, 1, 6, 2,
4], [v = -1, u < -3^(1/2), x = 0, y = -u^2, z = -u], [regular_chain, [[-1, -1]
, [-3, -3], [0, 0], [-9, -9], [3, 3]]]], [[4, 1, 6, 2, 5], [v = -1, u < -3^(1/
2), x = 0, y = -u^2, -u < z], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [-9
, -9], [4, 4]]]], [[4, 7, 6, 3, 1], [v = -1, And(-1 < u,u < 0), x = -u^2, And(
2*u^2-2 < y,y < 0), z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/
2], [-1/4, -1/4], [-3/4, -3/4], [-2, -2]]]], [[4, 7, 6, 3, 2], [v = -1, And(-1
< u,u < 0), x = -u^2, And(2*u^2-2 < y,y < 0), z = -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3/4, -3/4], [-1, -1]]]
], [[4, 7, 6, 3, 3], [v = -1, And(-1 < u,u < 0), x = -u^2, And(2*u^2-2 < y,y <
0), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [-1
/2, -1/2], [-1/4, -1/4], [-3/4, -3/4], [0, 0]]]], [[4, 7, 6, 3, 4], [v = -1, 
And(-1 < u,u < 0), x = -u^2, And(2*u^2-2 < y,y < 0), z = (u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3/4, -3/4], [1, 1]]]],
[[4, 7, 6, 3, 5], [v = -1, And(-1 < u,u < 0), x = -u^2, And(2*u^2-2 < y,y < 0)
, (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [
-3/4, -3/4], [2, 2]]]], [[4, 9, 1, 4, 1], [v = -1, And(0 < u,u < 1), x < u^2-2
, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-\
3, -3], [5/4, 5/4], [-3, -3]]]], [[4, 9, 1, 4, 2], [v = -1, And(0 < u,u < 1),
x < u^2-2, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2,
1/2], [-3, -3], [5/4, 5/4], [-10837/8192, -1387135/1048576]]]], [[4, 9, 1, 4,
3], [v = -1, And(0 < u,u < 1), x < u^2-2, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z
,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [5/4,
5/4], [0, 0]]]], [[4, 9, 1, 4, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, y = u
^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3],
[5/4, 5/4], [1387135/1048576, 10837/8192]]]], [[4, 9, 1, 4, 5], [v = -1, And(0
< u,u < 1), x < u^2-2, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1,
-1], [1/2, 1/2], [-3, -3], [5/4, 5/4], [3, 3]]]], [[4, 13, 7, 9, 1], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2-x-2 < y, z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [2, 2], [0, 0]]]], [[4, 15, 1, 1, 1], [v = -1, 3^(1/2) < u, x
< -u^2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -\
10], [-1, -1], [-5, -5]]]], [[4, 15, 1, 1, 2], [v = -1, 3^(1/2) < u, x < -u^2,
y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1,
-1], [-1738867/524288, -3477733/1048576]]]], [[4, 15, 1, 1, 3], [v = -1, 3^(1/
2) < u, x < -u^2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1, -1], [0, 0]]]], [[4, 15, 1,
1, 4], [v = -1, 3^(1/2) < u, x < -u^2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1, -1], [3477733/1048576, 
1738867/524288]]]], [[4, 15, 1, 1, 5], [v = -1, 3^(1/2) < u, x < -u^2, y < 0,
(-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [-1, -1], [5
, 5]]]], [[5, 5, 6, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v),
x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [0,
0], [-2, -2]]]], [[5, 5, 6, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,
u < v), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [0, 0], [-1618333/2097152, -3236665/4194304]]]], [[5, 5, 6, 4, 3], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [0,
0], [-1/8388608, -1/8388608]]]], [[5, 5, 6, 4, 4], [And(-1 < v,v < 0), And(-(v
^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [0, 0], [404583/524288, 809167/1048576]]]], [[5, 5
, 6, 4, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1,
y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0], [2, 2
]]]], [[5, 7, 3, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [0, 0], [-9/8, -9/8], [-1/16, -1/16], [-3, -3]]]], [[5, 7, 3, 3, 2
], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(u^2-v
^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-9/8, -9/8], [-1/16, -1/16], [-285665/262144, -1142659/1048576]]]], [[5, 7, 3
, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And
(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-1/16, -1/16], [0, 0]]]],
[[5, 7, 3, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x <
-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [0, 0], [-9/8, -9/8], [-1/16, -1/16], [1142659/1048576, 285665/262144]]]]
, [[5, 7, 3, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x
< -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [0, 0], [-9/8, -9/8], [-1/16, -1/16], [3, 3]]]], [[5, 9, 1, 6, 1], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [2521309/1048576, 1260655/524288], [-2, -2]]]], [[
5, 9, 1, 6, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^
2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-3, -3], [2521309/1048576, 1260655/524288
], [-1618333/2097152, -3236665/4194304]]]], [[5, 9, 1, 6, 3], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [2521309/1048576, 1260655/524288]
, [-1/8388608, -1/8388608]]]], [[5, 9, 1, 6, 4], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3],
[2521309/1048576, 1260655/524288], [404583/524288, 809167/1048576]]]], [[5, 9,
1, 6, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y
= u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [2521309/1048576, 1260655/524288]
, [2, 2]]]], [[5, 10, 4, 4, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1,
y = 0, z < -1], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072
], [-1, -1], [0, 0], [-2, -2]]]], [[5, 10, 4, 4, 2], [And(-1 < v,v < 0), u = (
v^2+1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-1, -1], [0, 0], [-1, -1]]]], [[5, 10, 4, 4, 3], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [0,
0], [0, 0]]]], [[5, 10, 4, 4, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -\
1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-1, -1], [0, 0], [1, 1]]]], [[5, 10, 4, 4, 5], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1, -1], [0, 0], [2, 2]]]], [[6, 2, 9, 3, 1]
, [v = 0, u = -2^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [-7/2, -7/
2], [-3, -3]]]], [[6, 2, 9, 3, 2], [v = 0, u = -2^(1/2), 1 < x, And(-x-3 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455
/524288], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[6, 2,
9, 3, 3], [v = 0, u = -2^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [2, 2], [-7/2, -7/2], [0, 0]]]], [[6, 2, 9, 3, 4], [v = 0, u = -2^(1/
2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [
-1482911/1048576, -741455/524288], [2, 2], [-7/2, -7/2], [642119/524288, 
1284239/1048576]]]], [[6, 2, 9, 3, 5], [v = 0, u = -2^(1/2), 1 < x, And(-x-3 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [2, 2], [-7/2, -7/2], [3, 3]]]], [[6, 4, 2, 4, 1], [v = 0, u =
-1, x = -2, y = 2, z < 0], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [2, 2]
, [-1, -1]]]], [[6, 4, 2, 4, 2], [v = 0, u = -1, x = -2, y = 2, z = 0], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [2, 2], [0, 0]]]], [[6, 4, 2, 4, 3
], [v = 0, u = -1, x = -2, y = 2, 0 < z], [regular_chain, [[0, 0], [-1, -1], [
-2, -2], [2, 2], [1, 1]]]], [[6, 9, 1, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)),
x < -u^2-1, And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0], [1265743
/1048576, 1265743/1048576], [-4, -4], [4433959/1048576, 4433959/1048576], [0,
0]]]], [[6, 10, 3, 8, 1], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y = 1-x, z
= z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [3,
3], [0, 0]]]], [[7, 4, 9, 2, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x,
y = -x-2, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [2, 2], [-4, -4], [-3, -3]]]], [[7, 4, 9, 2, 2], [And(0 < v,
v < 1), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[
1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-4, -4], [-1482911/
1048576, -741455/524288]]]], [[7, 4, 9, 2, 3], [And(0 < v,v < 1), u = -(v^2+1)
^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/2
, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-4, -4], [0, 0]]]], [[7,
4, 9, 2, 4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/
2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2],
[-4, -4], [741455/524288, 1482911/1048576]]]], [[7, 4, 9, 2, 5], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[1/2
, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-4, -4], [3, 3]]]], [[7,
6, 2, 5, 1], [And(0 < v,v < 1), u = -v, x = -1, 1 < y, z = z], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [-1, -1], [2, 2], [0, 0]]]], [[7, 13, 9, 5, 1], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-x < y,y <
0), z = z], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-35/16, -35/16
], [0, 0]]]], [[8, 2, 1, 1, 1], [v = 1, u = -3^(1/2), x < -3, y < 0, z < -(-x-
y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4,
-4], [-1, -1], [-4, -4]]]], [[8, 2, 1, 1, 2], [v = 1, u = -3^(1/2), x < -3, y
< 0, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[8, 2, 1,
1, 3], [v = 1, u = -3^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4
], [-1, -1], [0, 0]]]], [[8, 2, 1, 1, 4], [v = 1, u = -3^(1/2), x < -3, y < 0,
z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[8, 2, 1, 1
, 5], [v = 1, u = -3^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [-1, -1], [4, 4]]]],
[[8, 7, 11, 5, 1], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-17/8, -17/8
], [-2, -2]]]], [[8, 7, 11, 5, 2], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-
x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2,
2], [-17/8, -17/8], [-46341/131072, -370727/1048576]]]], [[8, 7, 11, 5, 3], [v
= 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-17/8, -17/8
], [0, 0]]]], [[8, 7, 11, 5, 4], [v = 1, And(-1 < u,u < 0), 1 < x, And(-u^2-x
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2],
[-17/8, -17/8], [370727/1048576, 46341/131072]]]], [[8, 7, 11, 5, 5], [v = 1,
And(-1 < u,u < 0), 1 < x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-17/8, -17/8], [2, 2]]]], [[8,
9, 7, 1, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y < u^2-x-2, z < -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-3, -3], [-\
3, -3]]]], [[8, 9, 7, 1, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y
< u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/
8], [-3, -3], [-7414553/4194304, -926819/524288]]]], [[8, 9, 7, 1, 3], [v = 1,
And(0 < u,u < 1), And(-u^2 < x,x < 0), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-3, -3], [
0, 0]]]], [[8, 9, 7, 1, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y <
u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8],
[-3, -3], [926819/524288, 1853639/1048576]]]], [[8, 9, 7, 1, 5], [v = 1, And(0
< u,u < 1), And(-u^2 < x,x < 0), y < u^2-x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-3, -3], [3, 3]]]], [[8, 14
, 2, 2, 1], [v = 1, u = 3^(1/2), x = -3, y = 0, z < -3^(1/2)], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[8,
14, 2, 2, 2], [v = 1, u = 3^(1/2), x = -3, y = 0, z = -3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [0, 0], [-\
1816187/1048576, -3632373/2097152]]]], [[8, 14, 2, 2, 3], [v = 1, u = 3^(1/2),
x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]]
, [[8, 14, 2, 2, 4], [v = 1, u = 3^(1/2), x = -3, y = 0, z = 3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[8, 14, 2, 2, 5], [v = 1, u = 3^(1/2), x
= -3, y = 0, 3^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-3, -3], [0, 0], [3, 3]]]], [[8, 15, 6, 7, 1], [v = 1, 3^(1/2) < u,
x = 0, u^2-2 < y, z = z], [regular_chain, [[1, 1], [3, 3], [0, 0], [8, 8], [0,
0]]]], [[9, 5, 11, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), 1 < x, y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-5818805/4194304, -5818805/4194304], [2, 2], [-2, -2], [-1, -1]]]], [[9, 5
, 11, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y
= -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [-2, -2], [0, 0]]]], [[9, 5, 11, 6, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -x, 0 < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-2, -2], [1, 1]]]], [[9, 7, 8, 7, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [1, 1], [0, 0]]]], [[9, 9, 5, 3, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^
2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [-32834795/33554432, -32834795/
33554432], [-3, -3]]]], [[9, 9, 5, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1
)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [-1/2, -1/2], [-32834795/33554432, -32834795/33554432], [-1275025/1048576,
-79689/65536]]]], [[9, 9, 5, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2
) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [-32834795/33554432, -32834795/
33554432], [0, 0]]]], [[9, 9, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^
(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[-1/2, -1/2], [-32834795/33554432, -32834795/33554432], [79689/65536, 1275025/
1048576]]]], [[9, 9, 5, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -\
1/2], [-32834795/33554432, -32834795/33554432], [3, 3]]]], [[9, 10, 9, 6, 1],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [0, 0], [0, 0]]]], [[9, 16, 9, 3, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[9, 16, 9, 3, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[9, 16
, 9, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-7/2, -7/
2], [0, 0]]]], [[9, 16, 9, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-7/2, -7/
2], [642119/524288, 1284239/1048576]]]], [[9, 16, 9, 3, 5], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-7/2, -7/2], [3, 3]]]], [[10, 1, 2, 6, 1], [v = 2^(1/2), u
< -2, x = -u^2+1, y = 2*u^2-4, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-8, -8], [14, 14], [0, 0]]]], [[10, 5, 5, 4, 1],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = 0, z < -(-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304
, -6598195/4194304], [-799673/1048576, -799673/1048576], [0, 0], [-2, -2]]]],
[[10, 5, 5, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-\
3), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [0
, 0], [-3662825/4194304, -457853/524288]]]], [[10, 5, 5, 4, 3], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [0, 0], [0, 0]
]]], [[10, 5, 5, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x <
u^2-3), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [0, 0], [457853/524288, 915707/1048576]]]], [[10, 5, 5, 4, 5], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = 0, (-x)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [0, 0], [2, 2]]]], [[10,
7, 2, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y <
-u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/
1048576], [689093/524288, 689093/524288], [-2, -2]]]], [[10, 7, 2, 5, 2], [v =
2^(1/2), And(-v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = -(-u
^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [689093/
524288, 689093/524288], [-31331/65536, -501295/1048576]]]], [[10, 7, 2, 5, 3],
[v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And
(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [689093/524288, 689093/524288], [0, 0]]]], [[10, 7, 2, 5, 4]
, [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z
= (-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
689093/524288, 689093/524288], [501295/1048576, 31331/65536]]]], [[10, 7, 2, 5
, 5], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3
), (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
689093/524288, 689093/524288], [2, 2]]]], [[10, 12, 9, 2, 1], [v = 2^(1/2), u
= 1, 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [2, 2], [-4, -4], [-3, -3]]]], [[10, 12, 9, 2, 2], [v = 2^(1
/2), u = 1, 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]
]]], [[10, 12, 9, 2, 3], [v = 2^(1/2), u = 1, 1 < x, y = -x-2, And(-2^(1/2) <
z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2
, 2], [-4, -4], [0, 0]]]], [[10, 12, 9, 2, 4], [v = 2^(1/2), u = 1, 1 < x, y =
-x-2, z = 2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[10, 12, 9, 2, 5], [v
= 2^(1/2), u = 1, 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [2, 2], [-4, -4], [3, 3]]]], [[10, 14, 3, 4,
1], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 14, 3, 4, 2], [v = 2^(1/2),
u = v, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0,
0], [-1482911/2097152, -741455/1048576]]]], [[10, 14, 3, 4, 3], [v = 2^(1/2),
u = v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 14, 3, 4, 4], [v = 2^(1/2), u
= v, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[10, 14, 3, 4, 5], [v = 2^(1/2), u = v,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [2,
2]]]], [[11, 2, 4, 2, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y = -2, z
< -3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1
, -1], [-2, -2], [-3, -3]]]], [[11, 2, 4, 2, 2], [2^(1/2) < v, u = -(v^2+2)^(1
/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288,
-3477733/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]]
, [[11, 2, 4, 2, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y = -2, And(-3^
(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[11, 2, 4, 2, 4],
[2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain
, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [-2, -2], [908093/
524288, 1816187/1048576]]]], [[11, 2, 4, 2, 5], [2^(1/2) < v, u = -(v^2+2)^(1/
2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[11, 3, 8, 7, 1], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/262144,
518045/1048576], [1, 1], [0, 0]]]], [[11, 9, 10, 4, 1], [2^(1/2) < v, And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[3
, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [-1, -1], [-1, -1]]]], [
[11, 9, 10, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= 1, y = -1, z = 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [-1, -1], [0, 0]]]], [[11, 9, 10, 4, 3], [2^(1/2) < v, And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [-1, -1], [1, 1]]]],
[[11, 11, 3, 9, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3, 3],
[0, 0], [-11/2, -11/2], [15, 15], [0, 0]]]], [[11, 15, 6, 3, 1], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z <
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [-133001/262144, -133001/262144],
[-2, -2]]]], [[11, 15, 6, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [-133001/262144, -133001/262144], [-8796092106889/
8796093022208, -1099511513361/1099511627776]]]], [[11, 15, 6, 3, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0),
And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-\
133001/262144, -133001/262144], [-934161/2199023255552, -934161/2199023255552]
]]], [[11, 15, 6, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+
v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576],
[-133001/262144, -133001/262144], [1048575/1048576, 1]]]], [[11, 15, 6, 3, 5],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 <
y,y < 0), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-129143/262144, -516571/1048576], [-133001/262144, -133001/
262144], [2, 2]]]], [[11, 17, 3, 6, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/524288, 776075/1048576], [-2, -2]]]], [[11, 17, 3, 6
, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [388037/524288,
776075/1048576], [-373161/524288, -1492643/2097152]]]], [[11, 17, 3, 6, 3], [2
^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-
v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152],
[388037/524288, 776075/1048576], [-1/4194304, -1/4194304]]]], [[11, 17, 3, 6,
4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
= u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [388037/524288,
776075/1048576], [746321/1048576, 373161/524288]]]], [[11, 17, 3, 6, 5], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2
-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-2614535/2097152, -2614535/2097152], [388037/524288, 776075/1048576
], [2, 2]]]], [[1, 1, 8, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, And(
-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5
], [1, 1], [-19/2, -19/2], [-4, -4]]]], [[1, 1, 8, 3, 2], [v < -2^(1/2), u < -
(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [1, 1], [-19/2, -19/2], [-24456785/8388608
, -1528549/524288]]]], [[1, 1, 8, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x
= 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [1, 1], [-19/2, -19/2], [0, 0]]]], [[1, 1,
8, 3, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1)
, z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [-19/2, -19/
2], [1528549/524288, 3057099/1048576]]]], [[1, 1, 8, 3, 5], [v < -2^(1/2), u <
-(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [1, 1], [-19/2, -19/2], [4, 4]]]], [[1, 3,
1, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+
v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-3396811/1048576, -3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144
], [-3, -3]]]], [[1, 3, 1, 4, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1579107/1048576, 394777/262144], [-1655969/1048576, -3311937/2097152]]]], [[1,
3, 1, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u
^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1579107/1048576, 394777/262144], [-1/4194304, -1/4194304]]]], [[1, 3, 1, 4, 4]
, [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144], [51749
/32768, 1655969/1048576]]]], [[1, 3, 1, 4, 5], [v < -2^(1/2), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4,
-4], [1579107/1048576, 394777/262144], [3, 3]]]], [[1, 9, 3, 5, 1], [v < -2^(1
/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [1839381/
2097152, 1839381/2097152], [-2, -2]]]], [[1, 9, 3, 5, 2], [v < -2^(1/2), And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-7357527/4194304, -7357527/4194304], [1839381/2097152, 
1839381/2097152], [-1964043/2097152, -7856171/8388608]]]], [[1, 9, 3, 5, 3], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x
< -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [1839381/2097152, 1839381/2097152], [-3/16777216,
-3/16777216]]]], [[1, 9, 3, 5, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
7357527/4194304, -7357527/4194304], [1839381/2097152, 1839381/2097152], [
982021/1048576, 491011/524288]]]], [[1, 9, 3, 5, 5], [v < -2^(1/2), And(-(v^2-\
1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [1839381/2097152, 1839381/
2097152], [2, 2]]]], [[1, 10, 5, 4, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And
(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 10, 5, 4,
2], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/
2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -\
1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[1, 10, 5, 4, 3], [v <
-2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576
], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 10, 5, 4, 4], [v < -2^(1/2), u = -(v^
2-2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -\
3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[1, 10, 5, 4, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2)
, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 14,
8, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [-3, -3],
[-3, -3]]]], [[1, 14, 8, 2, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, y = -\
3, z = -2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[1, 14, 8, 2, 3], [v
< -2^(1/2), u = (v^2-1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [-3, -3],
[0, 0]]]], [[1, 14, 8, 2, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, y = -3,
z = 2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1,
1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[1, 14, 8, 2, 5], [v < -2^
(1/2), u = (v^2-1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-3, -\
3], [741455/262144, 2965821/1048576], [1, 1], [-3, -3], [3, 3]]]], [[1, 16, 1,
5, 1], [v < -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [3, 3], [-2, -2], [3/2, 3/2], [-2, -2]]]], [[1, 
16, 1, 5, 2], [v < -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [3/2, 3/2], [-1482911/
2097152, -741455/1048576]]]], [[1, 16, 1, 5, 3], [v < -2^(1/2), u = -v, x < -1
, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [3/2, 3/2], [0, 0]]]], [[1, 16, 1,
5, 4], [v < -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-3, -3], [3, 3], [-2, -2], [3/2, 3/2], [741455/1048576, 
46341/65536]]]], [[1, 16, 1, 5, 5], [v < -2^(1/2), u = -v, x < -1, And(-1-x <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [3/
2, 3/2], [2, 2]]]], [[2, 1, 1, 6, 1], [v = -2^(1/2), u < -2, x < -u^2+1, y = -
x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9,
-9], [9, 9], [-1, -1]]]], [[2, 1, 1, 6, 2], [v = -2^(1/2), u < -2, x < -u^2+1,
y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-9, -9], [9, 9], [0, 0]]]], [[2, 1, 1, 6, 3], [v = -2^(1/2), u < -2, x < -u^2
+1, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [-9, -9], [9, 9], [1, 1]]]], [[2, 2, 3, 7, 1], [v = -2^(1/2), u = -2, And
(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [5/2, 5/2], [0, 0]]]], [[2, 9, 9
, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(-x < y,y
< -u^2-x+1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/
2, -1/2], [7/8, 7/8], [-1/2, -1/2], [0, 0]]]], [[2, 11, 2, 4, 1], [v = -2^(1/2
), And(0 < u,u < 1), x = u^2-3, y = -u^2+3, z < 0], [regular_chain, [[-1482911
/1048576, -741455/524288], [1/2, 1/2], [-11/4, -11/4], [11/4, 11/4], [-1, -1]]
]], [[2, 11, 2, 4, 2], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, y = -u^2+3,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-11/
4, -11/4], [11/4, 11/4], [0, 0]]]], [[2, 11, 2, 4, 3], [v = -2^(1/2), And(0 <
u,u < 1), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-11/4, -11/4], [11/4, 11/4], [1, 1]]]], [[2, 17,
4, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < 1), z <
-(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 17, 4, 5, 2
], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < 1), z = -(1-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152
, 3913339/2097152], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]
]], [[2, 17, 4, 5, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 <
y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [1/2,
1/2], [0, 0]]]], [[2, 17, 4, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x =
-1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[2, 17, 4, 5, 5], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1]
, [1/2, 1/2], [2, 2]]]], [[2, 18, 6, 4, 1], [v = -2^(1/2), u = 2, x = 0, y = 0
, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0],
[0, 0], [-1, -1]]]], [[2, 18, 6, 4, 2], [v = -2^(1/2), u = 2, x = 0, y = 0, z
= 0], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [0,
0], [0, 0]]]], [[2, 18, 6, 4, 3], [v = -2^(1/2), u = 2, x = 0, y = 0, 0 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [0, 0], [
1, 1]]]], [[3, 3, 7, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = 0, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[501965/2097152, 501965/2097152], [0, 0], [0, 0]]]], [[3, 5, 2, 5, 1], [And(-2
^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2
*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [1259643/1048576, 1259643/1048576], [-2, -2]]]], [[3
, 5, 2, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -
u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [1259643/1048576, 
1259643/1048576], [-270523/524288, -1082091/2097152]]]], [[3, 5, 2, 5, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2
*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [1259643/
1048576, 1259643/1048576], [-1/4194304, -1/4194304]]]], [[3, 5, 2, 5, 4], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^
2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [1259643/1048576, 1259643/1048576], [541045/
1048576, 270523/524288]]]], [[3, 5, 2, 5, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1),
(u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [
1259643/1048576, 1259643/1048576], [2, 2]]]], [[3, 11, 4, 6, 1], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [149551/262144, 598205/1048576], [-2, -2]]
]], [[3, 11, 4, 6, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v
), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [
149551/262144, 598205/1048576], [-1374407/2097152, -687203/1048576]]]], [[3, 
11, 4, 6, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1
, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [149551/262144, 598205/1048576], [0, 0]]]], [[3, 11, 4, 6,
4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = -u^2
+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/262144, 598205/
1048576], [687203/1048576, 171801/262144]]]], [[3, 11, 4, 6, 5], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [149551/262144, 598205/1048576], [2, 2]]]]
, [[3, 13, 1, 3, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)),
x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [401729/524288, 401729/524288], [-3, -3]]]], [[3,
13, 1, 3, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u
^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [401729/524288, 401729/524288], [-1567179/1048576, -783589/524288]]]], [[3
, 13, 1, 3, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576,
1454701/1048576], [-3, -3], [401729/524288, 401729/524288], [0, 0]]]], [[3, 13
, 1, 3, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2
+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [401729/524288, 401729/524288], [783589/524288, 1567179/1048576]]]], [[3,
13, 1, 3, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u
^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [401729/524288, 401729/524288], [3, 3]]]], [[3, 14, 6, 3, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [0, 0], [-1, -1], [-2, -2]]]], [[3, 14, 6, 3, 2], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [0, 0], [-1, -1], [-1, -1]]]], [[3, 14, 6, 3, 3], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [0, 0], [-1, -1], [0, 0]]]], [[3, 14, 6, 3, 4
], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z =
(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [0, 0], [-1, -1], [1, 1]]]], [[3, 14, 6, 3, 5], [And(
-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [0, 0], [-1, -1], [2, 2]]]], [[3, 15, 11, 3, 1], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [2, 2], [-6793421/2097152, -6793421/
2097152], [-3, -3]]]], [[3, 15, 11, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [2, 2], [-6793421/2097152, -6793421/2097152], [-583671
/524288, -1167341/1048576]]]], [[3, 15, 11, 3, 3], [And(-2^(1/2) < v,v < -1),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-6793421/2097152,
-6793421/2097152], [0, 0]]]], [[3, 15, 11, 3, 4], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [2, 2], [-6793421/2097152, -6793421/2097152], [
1167341/1048576, 583671/524288]]]], [[3, 15, 11, 3, 5], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [2, 2], [-6793421/2097152, -6793421/2097152],
[3, 3]]]], [[4, 4, 4, 3, 1], [v = -1, u = -2^(1/2), x = -1, And(-1 < y,y < 0),
z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[4, 4, 4, 3, 2], [v = -1, u = -
2^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1, -\
1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [-1284239/
1048576, -642119/524288]]]], [[4, 4, 4, 3, 3], [v = -1, u = -2^(1/2), x = -1,
And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [0, 0]]]],
[[4, 4, 4, 3, 4], [v = -1, u = -2^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^
(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1
], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[4, 4, 4, 3, 5], [v = -\
1, u = -2^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-1/2, -1/2], [3, 3]]
]], [[4, 5, 9, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And
(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743
/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[4, 10, 6, 6, 1], [v = -1, u
= 1, x = 1, y = 0, z = z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [0, 0],
[0, 0]]]], [[4, 12, 2, 2, 1], [v = -1, u = 2^(1/2), x = -2, y = 0, z < -2^(1/2
)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [0,
0], [-3, -3]]]], [[4, 12, 2, 2, 2], [v = -1, u = 2^(1/2), x = -2, y = 0, z = -
2^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2
], [0, 0], [-1482911/1048576, -741455/524288]]]], [[4, 12, 2, 2, 3], [v = -1,
u = 2^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [0, 0]]]], [[4, 
12, 2, 2, 4], [v = -1, u = 2^(1/2), x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2, -2], [0, 0],
[741455/524288, 1482911/1048576]]]], [[4, 12, 2, 2, 5], [v = -1, u = 2^(1/2),
x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-2, -2], [0, 0], [3, 3]]]], [[5, 2, 7, 3, 1], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-2, -2], [-3
, -3]]]], [[5, 2, 7, 3, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,
x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-3/2, -3/2], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]],
[[5, 2, 7, 3, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), 
And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[5, 2, 7, 3,
4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2
], [-2, -2], [642119/524288, 1284239/1048576]]]], [[5, 2, 7, 3, 5], [And(-1 <
v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-2, -2],
[3, 3]]]], [[5, 3, 11, 4, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-343151
/262144, -343151/262144], [2, 2], [-2, -2], [-1, -1]]]], [[5, 3, 11, 4, 2], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x,
z = 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2
], [-2, -2], [0, 0]]]], [[5, 3, 11, 4, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [2, 2], [-2, -2], [1, 1]]]], [[5, 11, 9
, 9, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2
-v^2-1 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [1, 1], [0, 0]]]],
[[5, 13, 3, 1, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x
< -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3
, 3], [-43/8, -43/8], [-6, -6], [-5, -5]]]], [[5, 13, 3, 1, 2], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-6, -6],
[-884129/262144, -3536515/1048576]]]], [[5, 13, 3, 1, 3], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -\
43/8], [-6, -6], [0, 0]]]], [[5, 13, 3, 1, 4], [And(-1 < v,v < 0), (v^2+2)^(1/
2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-6, -6], [3536515/
1048576, 884129/262144]]]], [[5, 13, 3, 1, 5], [And(-1 < v,v < 0), (v^2+2)^(1/
2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-6, -6], [5, 5]]]], [[6
, 5, 8, 2, 1], [v = 0, And(-1 < u,u < 0), x = 0, y = -u^2-1, z < -(u^2+1)^(1/2
)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-5/4, -5/4], [-3, -3]]]],
[[6, 5, 8, 2, 2], [v = 0, And(-1 < u,u < 0), x = 0, y = -u^2-1, z = -(u^2+1)^(
1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-5/4, -5/4], [-146543/
131072, -1172343/1048576]]]], [[6, 5, 8, 2, 3], [v = 0, And(-1 < u,u < 0), x =
0, y = -u^2-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0
, 0], [-1/2, -1/2], [0, 0], [-5/4, -5/4], [0, 0]]]], [[6, 5, 8, 2, 4], [v = 0,
And(-1 < u,u < 0), x = 0, y = -u^2-1, z = (u^2+1)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [0, 0], [-5/4, -5/4], [1172343/1048576, 146543/131072]]]], [
[6, 5, 8, 2, 5], [v = 0, And(-1 < u,u < 0), x = 0, y = -u^2-1, (u^2+1)^(1/2) <
z], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-5/4, -5/4], [3, 3]]]], [[
6, 7, 4, 8, 1], [v = 0, And(0 < u,u < 1), x = -1, y = 1, z < 0], [
regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1, 1], [-1, -1]]]], [[6, 7, 4,
8, 2], [v = 0, And(0 < u,u < 1), x = -1, y = 1, z = 0], [regular_chain, [[0, 0
], [1/2, 1/2], [-1, -1], [1, 1], [0, 0]]]], [[6, 7, 4, 8, 3], [v = 0, And(0 <
u,u < 1), x = -1, y = 1, 0 < z], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1]
, [1, 1], [1, 1]]]], [[6, 11, 8, 1, 1], [v = 0, 2^(1/2) < u, x = 1, y < -u^2-2
, z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [-12, -12], [-5
, -5]]]], [[6, 11, 8, 1, 2], [v = 0, 2^(1/2) < u, x = 1, y < -u^2-2, z = -(-y-\
1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [-12, -12], [-1738867/
524288, -3477733/1048576]]]], [[6, 11, 8, 1, 3], [v = 0, 2^(1/2) < u, x = 1, y
< -u^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [
3, 3], [1, 1], [-12, -12], [0, 0]]]], [[6, 11, 8, 1, 4], [v = 0, 2^(1/2) < u,
x = 1, y < -u^2-2, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1],
[-12, -12], [3477733/1048576, 1738867/524288]]]], [[6, 11, 8, 1, 5], [v = 0, 2
^(1/2) < u, x = 1, y < -u^2-2, (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [3,
3], [1, 1], [-12, -12], [5, 5]]]], [[7, 1, 9, 9, 1], [And(0 < v,v < 1), u < -(
v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [35/8, 35/8], [5, 5], [0, 0]]]], [[7, 7,
10, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y < u^2-v^2-2, z < -(-
y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-4, -4], [-3, -3]]]
], [[7, 7, 10, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y < u^2-v^2
-2, z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-4, -4],
[-1816187/1048576, -3632373/2097152]]]], [[7, 7, 10, 1, 3], [And(0 < v,v < 1),
And(-v < u,u < v), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2
))], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[7, 7, 10, 1, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y
< u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [
-4, -4], [908093/524288, 1816187/1048576]]]], [[7, 7, 10, 1, 5], [And(0 < v,v
< 1), And(-v < u,u < v), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-4, -4], [3, 3]]]], [[7, 9, 6, 5,
1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,
y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [
312209/1048576, 312209/1048576], [-2, -2]]]], [[7, 9, 6, 5, 2], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z
= -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/1048576, 312209
/1048576], [-1144335/2097152, -572167/1048576]]]], [[7, 9, 6, 5, 3], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+
1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [312209/1048576, 312209/1048576], [0, 0]]]], [[7, 9, 6, 5, 4], [And(
0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+
v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/
1048576, 312209/1048576], [572167/1048576, 71521/131072]]]], [[7, 9, 6, 5, 5],
[And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y <
-u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/
1048576, 312209/1048576], [2, 2]]]], [[7, 11, 3, 4, 1], [And(0 < v,v < 1), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z <
-(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-\
1815885/1048576, -1815885/1048576], [0, 0], [-3, -3]]]], [[7, 11, 3, 4, 2], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x
,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [-1815885/1048576, -1815885/1048576], [0, 0], [-1379889/
1048576, -86243/65536]]]], [[7, 11, 3, 4, 3], [And(0 < v,v < 1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2
) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [0, 0], [0, 0]]]], [[7, 11, 3,
4, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [343151
/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [0, 0], [86243/
65536, 1379889/1048576]]]], [[7, 11, 3, 4, 5], [And(0 < v,v < 1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [0, 0], [3, 3]]]], [[7, 12, 5, 7, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [1, 1], [0, 0]]]], [[8,
5, 1, 8, 1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = -x, z < 0], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [3, 3]
, [-1, -1]]]], [[8, 5, 1, 8, 2], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y
= -x, z = 0], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
-3, -3], [3, 3], [0, 0]]]], [[8, 5, 1, 8, 3], [v = 1, And(-2^(1/2) < u,u < -1)
, x < -u^2, y = -x, 0 < z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [3, 3], [1, 1]]]], [[8, 6, 5, 5, 1], [v = 1, u = -\
1, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [-1,
-1], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[8, 11, 5, 1, 1], [v = 1, And(1 < u
,u < 2^(1/2)), And(-1 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [-2, -2], [-3, -3]]]], [[8, 11, 5, 1, 2], [v = 1, And(1 < u
,u < 2^(1/2)), And(-1 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [-2, -2], [-3491269/2097152, -872817/524288]]]], [[8, 11, 5
, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y < -u^2-x, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2, -2], [0,
0]]]], [[8, 11, 5, 1, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2
), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2, -2], [872817/
524288, 1745635/1048576]]]], [[8, 11, 5, 1, 5], [v = 1, And(1 < u,u < 2^(1/2))
, And(-1 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1
], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [
-2, -2], [3, 3]]]], [[8, 12, 9, 4, 1], [v = 1, u = 2^(1/2), 1 < x, y = -x, z <
0], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-2, -2
], [-1, -1]]]], [[8, 12, 9, 4, 2], [v = 1, u = 2^(1/2), 1 < x, y = -x, z = 0],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-2, -2], [
0, 0]]]], [[8, 12, 9, 4, 3], [v = 1, u = 2^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-2, -2], [1
, 1]]]], [[9, 3, 3, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [4149659/2097152, 
4149659/2097152], [0, 0]]]], [[9, 4, 7, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [0,
0], [0, 0]]]], [[9, 12, 2, 4, 1], [And(1 < v,v < 2^(1/2)), u = v, x = -1, y =
1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[9, 12, 2, 4, 2], [
And(1 < v,v < 2^(1/2)), u = v, x = -1, y = 1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [1, 1], [0, 0]]]], [[9, 12, 2, 4, 3], [And(1 < v,v < 2^(1/2)), u = v, x = -\
1, y = 1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[9, 13, 10, 5
, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^
2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-663873/524288,
-663873/524288], [-2, -2]]]], [[9, 13, 10, 5, 2], [And(1 < v,v < 2^(1/2)), And
(v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-663873/524288, -663873/524288], [-1082093/2097152,
-270523/524288]]]], [[9, 13, 10, 5, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-
y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [-663873/524288, -663873/524288], [0, 0]]]]
, [[9, 13, 10, 5, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x
= 1, And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-\
663873/524288, -663873/524288], [270523/524288, 541047/1048576]]]], [[9, 13, 
10, 5, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(u
^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-663873/524288,
-663873/524288], [2, 2]]]], [[10, 2, 4, 4, 1], [v = 2^(1/2), u = -2, x = -1, y
= 0, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1
, -1], [0, 0], [-2, -2]]]], [[10, 2, 4, 4, 2], [v = 2^(1/2), u = -2, x = -1, y
= 0, z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1
, -1], [0, 0], [-1, -1]]]], [[10, 2, 4, 4, 3], [v = 2^(1/2), u = -2, x = -1, y
= 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
2, -2], [-1, -1], [0, 0], [0, 0]]]], [[10, 2, 4, 4, 4], [v = 2^(1/2), u = -2,
x = -1, y = 0, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [-2,
-2], [-1, -1], [0, 0], [1, 1]]]], [[10, 2, 4, 4, 5], [v = 2^(1/2), u = -2, x =
-1, y = 0, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2]
, [-1, -1], [0, 0], [2, 2]]]], [[10, 3, 9, 2, 1], [v = 2^(1/2), And(-2 < u,u <
-3^(1/2)), And(u^2-3 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576],
[-3, -3]]]], [[10, 3, 9, 2, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^
2-3 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [-1689821/524288, -3379641/1048576], [-825991/524288, -\
3303963/2097152]]]], [[10, 3, 9, 2, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, And(u^2-3 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/
1048576], [-1/4194304, -1/4194304]]]], [[10, 3, 9, 2, 4], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576],
[1651981/1048576, 825991/524288]]]], [[10, 3, 9, 2, 5], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [-1689821/524288, -3379641/1048576],
[3, 3]]]], [[10, 8, 4, 7, 1], [v = 2^(1/2), u = -1, x = -1, 1 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1, -1], [2, 2],
[0, 0]]]], [[10, 9, 10, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, y = -u^
2, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1
, 1], [-1/4, -1/4], [0, 0]]]], [[10, 15, 10, 3, 1], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = 1, And(-u^2 < y,y < u^2-4), z < -(-y-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1
], [-8388607/4194304, -8388607/4194304], [-2, -2]]]], [[10, 15, 10, 3, 2], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(-u^2 < y,y < u^2-4), z = -(-y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [1, 1], [-8388607/4194304, -8388607/4194304], [-8388607/
8388608, -4398045986815/4398046511104]]]], [[10, 15, 10, 3, 3], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), x = 1, And(-u^2 < y,y < u^2-4), And(-(-y-1)^(1/2) < z,
z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1, 1], [-8388607/4194304, -8388607/4194304
], [-3670015/8796093022208, -3670015/8796093022208]]]], [[10, 15, 10, 3, 4], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(-u^2 < y,y < u^2-4), z = (-y-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [1, 1], [-8388607/4194304, -8388607/4194304], [1048575/
1048576, 1]]]], [[10, 15, 10, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x =
1, And(-u^2 < y,y < u^2-4), (-y-1)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-8388607/
4194304, -8388607/4194304], [2, 2]]]], [[10, 17, 5, 6, 1], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[741455
/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [
1/2, 1/2], [-1, -1]]]], [[10, 17, 5, 6, 2], [v = 2^(1/2), And(3^(1/2) < u,u <
2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1/2, 1/2]
, [0, 0]]]], [[10, 17, 5, 6, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1
< x,x < 0), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10,
18, 9, 3, 1], [v = 2^(1/2), u = 2, 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [-7/2
, -7/2], [-3, -3]]]], [[10, 18, 9, 3, 2], [v = 2^(1/2), u = 2, 1 < x, And(-x-3
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]],
[[10, 18, 9, 3, 3], [v = 2^(1/2), u = 2, 1 < x, And(-x-3 < y,y < -x), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [2, 2], [2, 2], [-7/2, -7/2], [0, 0]]]], [[10, 18, 9, 3, 4], [v = 2^
(1/2), u = 2, 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [2, 2], [-7/2, -7/2], [642119/
524288, 1284239/1048576]]]], [[10, 18, 9, 3, 5], [v = 2^(1/2), u = 2, 1 < x, 
And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [2, 2], [-7/2, -7/2], [3, 3]]]], [[11, 1, 2, 6, 1],
[2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [
regular_chain, [[3, 3], [-5, -5], [-17, -17], [32, 32], [0, 0]]]], [[11, 7, 2,
1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z <
-(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [-1, -1], [-3, -3]]]], [[11, 7,
2, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0,
z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [-1, -1], [-1660383/
1048576, -3320765/2097152]]]], [[11, 7, 2, 1, 3], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2
+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [-1, -1], [-1/4194304, -1/
4194304]]]], [[11, 7, 2, 1, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [-1, -\
1], [830191/524288, 1660383/1048576]]]], [[11, 7, 2, 1, 5], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-1, -1], [3, 3]]]], [[11, 8, 5, 5, 1], [2^(1/2) < v
, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2]
, [1/4, 1/4], [-2, -2]]]], [[11, 8, 5, 5, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[11, 8, 5, 5, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
1/4, 1/4], [0, 0]]]], [[11, 8, 5, 5, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And
(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3],
[-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]]
, [[11, 8, 5, 5, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 12, 7, 4, 1], [
2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-1/2, -1/2
], [-1, -1]]]], [[11, 12, 7, 4, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x
,x < 1), y = -x, z = 0], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096
], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 12, 7, 4, 3], [2^(1/2) < v, u =
(v^2-2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 13, 
11, 9, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, 0 <
y, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2],
[1, 1], [0, 0]]]], [[11, 20, 2, 2, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3
, y = 0, z < -3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-3, -3], [0, 0], [-3, -3]]]], [[11, 20, 2, 2, 2], [2^(1/2) < v, u =
(v^2+2)^(1/2), x = -3, y = 0, z = -3^(1/2)], [regular_chain, [[3, 3], [3477733
/1048576, 1738867/524288], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[11, 20, 2, 2, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, y =
0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 20, 2, 2
, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[11, 20, 2, 2, 5], [2^(1/2) < v, u = (v^2
+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-3, -3], [0, 0], [3, 3]]]], [[11, 21, 6, 7, 1], [2^
(1/2) < v, (v^2+2)^(1/2) < u, x = 0, u^2-v^2-1 < y, z = z], [regular_chain, [[
3, 3], [5, 5], [0, 0], [16, 16], [0, 0]]]], [[1, 4, 4, 2, 1], [v < -2^(1/2), u
= -(v^2+1)^(1/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 4, 4, 2
, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [-1, -1
], [-1482911/1048576, -741455/524288]]]], [[1, 4, 4, 2, 3], [v < -2^(1/2), u =
-(v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain
, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [-1, -1], [0, 0]]]],
[[1, 4, 4, 2, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y = -1, z = 2^(1/
2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [
-1, -1], [741455/524288, 1482911/1048576]]]], [[1, 4, 4, 2, 5], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[-3, -3], [
-3315889/1048576, -207243/65536], [-1, -1], [-1, -1], [3, 3]]]], [[1, 5, 9, 6,
1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z
< 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2],
[-1/2, -1/2], [-1, -1]]]], [[1, 5, 9, 6, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 5, 9
, 6, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -
x, 0 < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2,
1/2], [-1/2, -1/2], [1, 1]]]], [[1, 11, 9, 5, 1], [v < -2^(1/2), And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), And(-x < y,y < 0), z
= z], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-9/4, -9/4], [0, 0]]]],
[[1, 13, 2, 6, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x
= u^2-v^2-1, y = -2*u^2+2*v^2, z = z], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [395403/131072, 
3163225/1048576], [0, 0]]]], [[1, 17, 9, 4, 1], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
1055481/1048576, -131935/131072], [-2, -2]]]], [[1, 17, 9, 4, 2], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1
/2, 1/2], [-1055481/1048576, -131935/131072], [-373161/524288, -1492643/
2097152]]]], [[1, 17, 9, 4, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1
)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/
2], [-1055481/1048576, -131935/131072], [-1/4194304, -1/4194304]]]], [[1, 17,
9, 4, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y =
u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [1/2, 1/2], [-1055481/1048576, -131935/131072], [
746321/1048576, 373161/524288]]]], [[1, 17, 9, 4, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
1055481/1048576, -131935/131072], [2, 2]]]], [[1, 19, 4, 3, 1], [v < -2^(1/2),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-1, -1], [-391655/524288, -391655/524288], [-3, -3]]]], [[1, 19, 4, 3, 2], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y
,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1, -1], [-391655/524288, -391655/524288], [-346489/262144,
-1385955/1048576]]]], [[1, 19, 4, 3, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-1, -1], [-391655/524288, -391655/524288], [0, 0]]]], [[1, 19, 4, 3, 4], [v <
-2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y
< 0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-1, -1], [-391655/524288, -391655/524288], [1385955/1048576, 346489
/262144]]]], [[1, 19, 4, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1], [-391655/524288, -\
391655/524288], [3, 3]]]], [[2, 3, 7, 8, 1], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), And(0 < x,x < u^2-3), y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
2097152, 505467/2097152], [252733/1048576, 126367/524288], [0, 0]]]], [[2, 5,
2, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, u^2-1 < y, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [3, 3], [0, 0]]]], [[2,
7, 1, 3, 1], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(0 < y,y < u^2-x-\
3), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [-3, -3], [763943/1048576, 763943/1048576
], [-3, -3]]]], [[2, 7, 1, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3,
And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/
1048576, 763943/1048576], [-1580343/1048576, -3160685/2097152]]]], [[2, 7, 1,
3, 3], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(0 < y,y < u^2-x-3), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [763943/
1048576, 763943/1048576], [-1/4194304, -1/4194304]]]], [[2, 7, 1, 3, 4], [v =
-2^(1/2), And(v < u,u < -1), x < u^2-3, And(0 < y,y < u^2-x-3), z = (-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [763943/1048576, 763943/1048576], [790171/524288,
1580343/1048576]]]], [[2, 7, 1, 3, 5], [v = -2^(1/2), And(v < u,u < -1), x < u
^2-3, And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [
763943/1048576, 763943/1048576], [3, 3]]]], [[2, 8, 4, 1, 1], [v = -2^(1/2), u
= -1, x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-1, -1], [-2, -2], [-3, -3]]]], [[2, 8, 4, 1, 2], [
v = -2^(1/2), u = -1, x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[2, 8, 4, 1, 3], [v = -2^(1/2), u = -1, x = -1
, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[2, 8, 4, 1, 4], [v = -2^(1/2), u = -1, x = -1, y < -1, z = (1-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1,
-1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[2, 8, 4, 1, 5], [v = -2^
(1/2), u = -1, x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [-2, -2], [3, 3]]]], [[2, 14, 1,
7, 1], [v = -2^(1/2), u = -v, x < -1, -x < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[3, 3], [0, 0]]]], [[2, 15, 9, 6, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1
]]]], [[2, 15, 9, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x <
1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[2, 
15, 9, 6, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -x
, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 1, 1, 4,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^
2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-10, -10], [763943/524288, 1527887/1048576], [-4, -4]]]],
[[3, 1, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-\
1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [763943/524288, 1527887/
1048576], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 1, 4, 3], [And(-2^(
1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [763943/524288, 1527887/
1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 1, 4, 4], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10,
-10], [763943/524288, 1527887/1048576], [3064801/1048576, 1532401/524288]]]],
[[3, 1, 1, 4, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-\
1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [763943/524288, 1527887/
1048576], [4, 4]]]], [[3, 2, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [1, 1], [-2, -2]]]], [[3, 2, 3, 5, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-2, -2], [1, 1], [-1, -1]]]], [[3, 2, 3,
5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(
0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2,
-2], [1, 1], [0, 0]]]], [[3, 2, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2
+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [1, 1], [1, 1]]]], [[3, 2, 3, 5, 5], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-2, -2], [1, 1], [2, 2]]]], [[3, 8, 4, 3, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z < -
(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877
/2097152, -354469/524288], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[3, 8, 4, 3,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0),
z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -\
642119/524288]]]], [[3, 8, 4, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(
1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[3, 8, 4, 3, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]],
[[3, 8, 4, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, And(-\
1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-1/2, -1/2], [3, 3]]]
], [[3, 9, 9, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-35579/262144, -35579/262144], [0, 0]]]], [[3, 17, 4, 4,
1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [0, 0]
, [-2, -2]]]], [[3, 17, 4, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u
, x = -1, y = 0, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[3, 17, 4, 4, 3], [And(-2^(1/2) < v
,v < -1), (v^2+2)^(1/2) < u, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [0, 0], [0, 0]]]],
[[3, 17, 4, 4, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y = 0
, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1,
-1], [0, 0], [1, 1]]]], [[3, 17, 4, 4, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^
(1/2) < u, x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [-1, -1], [0, 0], [2, 2]]]], [[4, 1, 6, 3, 1], [v = -1, u <
-3^(1/2), x = 0, And(-u^2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1,
-1], [-3, -3], [0, 0], [-9/2, -9/2], [-4, -4]]]], [[4, 1, 6, 3, 2], [v = -1, u
< -3^(1/2), x = 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1
, -1], [-3, -3], [0, 0], [-9/2, -9/2], [-1112183/524288, -2224365/1048576]]]],
[[4, 1, 6, 3, 3], [v = -1, u < -3^(1/2), x = 0, And(-u^2 < y,y < 0), And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [-9/
2, -9/2], [0, 0]]]], [[4, 1, 6, 3, 4], [v = -1, u < -3^(1/2), x = 0, And(-u^2
< y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [-9/
2, -9/2], [2224365/1048576, 1112183/524288]]]], [[4, 1, 6, 3, 5], [v = -1, u <
-3^(1/2), x = 0, And(-u^2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1, -\
1], [-3, -3], [0, 0], [-9/2, -9/2], [4, 4]]]], [[4, 7, 6, 2, 1], [v = -1, And(
-1 < u,u < 0), x = -u^2, y = 2*u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[
-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3/2, -3/2], [-3, -3]]]], [[4, 7, 6, 2,
2], [v = -1, And(-1 < u,u < 0), x = -u^2, y = 2*u^2-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3/2, -3/2], [-10837/
8192, -1387135/1048576]]]], [[4, 7, 6, 2, 3], [v = -1, And(-1 < u,u < 0), x =
-u^2, y = 2*u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3/2, -3/2], [0, 0]]]],
[[4, 7, 6, 2, 4], [v = -1, And(-1 < u,u < 0), x = -u^2, y = 2*u^2-2, z = (-u^2
+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3/2, -3/2
], [1387135/1048576, 10837/8192]]]], [[4, 7, 6, 2, 5], [v = -1, And(-1 < u,u <
0), x = -u^2, y = 2*u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1
/2, -1/2], [-1/4, -1/4], [-3/2, -3/2], [3, 3]]]], [[4, 9, 1, 3, 1], [v = -1, 
And(0 < u,u < 1), x < u^2-2, And(0 < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [5/8, 5/8], [-3, -3]]]], [[4,
9, 1, 3, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, And(0 < y,y < u^2-x-2), z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [5/8, 5/8], [
-3231929/2097152, -403991/262144]]]], [[4, 9, 1, 3, 3], [v = -1, And(0 < u,u <
1), x < u^2-2, And(0 < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [5/8, 5/8], [0, 0]]]], [[4
, 9, 1, 3, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, And(0 < y,y < u^2-x-2), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [5/8, 5/8],
[403991/262144, 1615965/1048576]]]], [[4, 9, 1, 3, 5], [v = -1, And(0 < u,u <
1), x < u^2-2, And(0 < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1
, -1], [1/2, 1/2], [-3, -3], [5/8, 5/8], [3, 3]]]], [[4, 13, 8, 1, 1], [v = -1
, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y < -2*u^2+2, z < -(-u^2-y+2)^(1/2)
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [-4, -4], [-3, -3]]]], [[4, 13, 8, 1, 2], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y < -2*u^2+2, z = -(-u^2-y+2)^(1/2)],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576
, 248903/524288], [-4, -4], [-15750169/8388608, -1968771/1048576]]]], [[4, 13,
8, 1, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y < -2*u^2+2, And(
-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-4, -4],
[0, 0]]]], [[4, 13, 8, 1, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2
, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-4, -4], [1968771
/1048576, 492193/262144]]]], [[4, 13, 8, 1, 5], [v = -1, And(2^(1/2) < u,u < 3
^(1/2)), x = u^2-2, y < -2*u^2+2, (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-4,
-4], [3, 3]]]], [[4, 15, 1, 2, 1], [v = -1, 3^(1/2) < u, x < -u^2, y = 0, z <
-(-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [0, 0], [-5, -5]]
]], [[4, 15, 1, 2, 2], [v = -1, 3^(1/2) < u, x < -u^2, y = 0, z = -(-x)^(1/2)]
, [regular_chain, [[-1, -1], [3, 3], [-10, -10], [0, 0], [-3315889/1048576, -\
207243/65536]]]], [[4, 15, 1, 2, 3], [v = -1, 3^(1/2) < u, x < -u^2, y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-10,
-10], [0, 0], [0, 0]]]], [[4, 15, 1, 2, 4], [v = -1, 3^(1/2) < u, x < -u^2, y
= 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [0, 0], [
207243/65536, 3315889/1048576]]]], [[4, 15, 1, 2, 5], [v = -1, 3^(1/2) < u, x
< -u^2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [-10, -10],
[0, 0], [5, 5]]]], [[5, 5, 6, 3, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [-2,
-2]]]], [[5, 5, 6, 3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [-\
8796092874415/8796093022208, -35184371497659/35184372088832]]]], [[5, 5, 6, 3,
3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u
^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [-32963259/
70368744177664, -32963259/70368744177664]]]], [[5, 5, 6, 3, 4], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0
), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-3393259/8388608, -\
3393259/8388608], [1048575/1048576, 1]]]], [[5, 5, 6, 3, 5], [And(-1 < v,v < 0
), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0),
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [-3393259/8388608, -\
3393259/8388608], [2, 2]]]], [[5, 7, 3, 2, 1], [And(-1 < v,v < 0), And(v < u,u
< -v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-1/8, -1/8], [-3, -3]]]],
[[5, 7, 3, 2, 2], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x <
-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [-9/8, -9/8], [-1/8, -1/8], [-146543/131072, -1172343/1048576]]]], [[5
, 7, 3, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1
), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-1/8, -1/8], [0, 0]]]], [
[5, 7, 3, 2, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x <
-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [-9/8, -9/8], [-1/8, -1/8], [1172343/1048576, 146543/131072]]]], [[5,
7, 3, 2, 5], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1),
y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0
], [-9/8, -9/8], [-1/8, -1/8], [3, 3]]]], [[5, 9, 1, 7, 1], [And(-1 < v,v < 0)
, And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [-2, -2]]]], [[5, 9, 1
, 7, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 
And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [-3, -3], [2833519/1048576, 2833519/
1048576], [-572167/1048576, -1144333/2097152]]]], [[5, 9, 1, 7, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [-3, -3], [2833519/1048576, 2833519/
1048576], [-1/4194304, -1/4194304]]]], [[5, 9, 1, 7, 4], [And(-1 < v,v < 0), 
And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [286083/524288, 572167
/1048576]]]], [[5, 9, 1, 7, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/
2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
2833519/1048576, 2833519/1048576], [2, 2]]]], [[5, 10, 4, 5, 1], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [1/2
, 1/2], [-2, -2]]]], [[5, 10, 4, 5, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[5, 10, 4, 5, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [1/2
, 1/2], [0, 0]]]], [[5, 10, 4, 5, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x
= -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/
65536]]]], [[5, 10, 4, 5, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, 
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-1, -1], [1/2, 1/2], [2, 2]]]], [[6, 2, 9, 2, 1], [v
= 0, u = -2^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [2, 2], [-5, -5], [-3, -3]]]], [[6, 2, 9, 2,
2], [v = 0, u = -2^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 2, 9, 2, 3], [v = 0, u = -2^(1/2), 1 < x, y = -x-3,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[6, 2, 9, 2, 4
], [v = 0, u = -2^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[0, 0
], [-1482911/1048576, -741455/524288], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[6, 2, 9, 2, 5], [v = 0, u = -2^(1/2), 1 < x, y = -x-3,
3^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2,
2], [-5, -5], [3, 3]]]], [[6, 4, 2, 3, 1], [v = 0, u = -1, x = -2, And(0 < y,y
< 2), z < -(2-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1],
[-2, -2]]]], [[6, 4, 2, 3, 2], [v = 0, u = -1, x = -2, And(0 < y,y < 2), z = -
(2-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [-1, -1]]]]
, [[6, 4, 2, 3, 3], [v = 0, u = -1, x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2)
< z,z < (2-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [0
, 0]]]], [[6, 4, 2, 3, 4], [v = 0, u = -1, x = -2, And(0 < y,y < 2), z = (2-y)
^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [1, 1]]]], [[6,
4, 2, 3, 5], [v = 0, u = -1, x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [1, 1], [2, 2]]]], [[6, 9, 1, 8, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y = u^2-x-1, z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [2336807
/524288, 4673615/1048576], [0, 0]]]], [[6, 10, 3, 9, 1], [v = 0, u = 2^(1/2),
And(-3 < x,x < -1), 1-x < y, z = z], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [-2, -2], [4, 4], [0, 0]]]], [[7, 4, 9, 1, 1], [And(0 < v,v
< 1), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-5, -5], [-3, -3]]]]
, [[7, 4, 9, 1, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z
= -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[7, 4, 9
, 1, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072, -\
1172343/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[7, 4, 9, 1,
4], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [2, 2], [-5,
-5], [908093/524288, 1816187/1048576]]]], [[7, 4, 9, 1, 5], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-146543/131072, -1172343/1048576], [2, 2], [-5, -5], [3, 3]]]], [[7, 6,
2, 4, 1], [And(0 < v,v < 1), u = -v, x = -1, y = 1, z < 0], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [-1, -1], [1, 1], [-1, -1]]]], [[7, 6, 2, 4, 2], [And
(0 < v,v < 1), u = -v, x = -1, y = 1, z = 0], [regular_chain, [[1/2, 1/2], [-1
/2, -1/2], [-1, -1], [1, 1], [0, 0]]]], [[7, 6, 2, 4, 3], [And(0 < v,v < 1), u
= -v, x = -1, y = 1, 0 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -\
1], [1, 1], [1, 1]]]], [[7, 13, 9, 4, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u
, And(1 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [3, 3
], [35/8, 35/8], [-35/8, -35/8], [-1, -1]]]], [[7, 13, 9, 4, 2], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-35/8, -35/8], [0, 0]]]], [
[7, 13, 9, 4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-\
1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [-35/8,
-35/8], [1, 1]]]], [[8, 1, 11, 9, 1], [v = 1, u < -3^(1/2), u^2-2 < x, 0 < y,
z = z], [regular_chain, [[1, 1], [-3, -3], [8, 8], [1, 1], [0, 0]]]], [[8, 7,
11, 6, 1], [v = 1, And(-1 < u,u < 0), 1 < x, y = -x, z < 0], [regular_chain, [
[1, 1], [-1/2, -1/2], [2, 2], [-2, -2], [-1, -1]]]], [[8, 7, 11, 6, 2], [v = 1
, And(-1 < u,u < 0), 1 < x, y = -x, z = 0], [regular_chain, [[1, 1], [-1/2, -1
/2], [2, 2], [-2, -2], [0, 0]]]], [[8, 7, 11, 6, 3], [v = 1, And(-1 < u,u < 0)
, 1 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-2, -\
2], [1, 1]]]], [[8, 9, 7, 2, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0)
, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/
8, -1/8], [-13/8, -13/8], [-3, -3]]]], [[8, 9, 7, 2, 2], [v = 1, And(0 < u,u <
1), And(-u^2 < x,x < 0), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[
1, 1], [1/2, 1/2], [-1/8, -1/8], [-13/8, -13/8], [-10837/8192, -1387135/
1048576]]]], [[8, 9, 7, 2, 3], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0),
y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1
, 1], [1/2, 1/2], [-1/8, -1/8], [-13/8, -13/8], [0, 0]]]], [[8, 9, 7, 2, 4], [
v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = u^2-x-2, z = (-u^2+2)^(1/2)]
, [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-13/8, -13/8], [1387135/
1048576, 10837/8192]]]], [[8, 9, 7, 2, 5], [v = 1, And(0 < u,u < 1), And(-u^2
< x,x < 0), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1
/2], [-1/8, -1/8], [-13/8, -13/8], [3, 3]]]], [[8, 14, 2, 1, 1], [v = 1, u = 3
^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[8, 14, 2, 1, 2],
[v = 1, u = 3^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[1, 1]
, [908093/524288, 1816187/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[8, 14,
2, 1, 3], [v = 1, u = 3^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(
1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [
-1, -1], [0, 0]]]], [[8, 14, 2, 1, 4], [v = 1, u = 3^(1/2), x = -3, y < 0, z =
(3-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3,
-3], [-1, -1], [2, 2]]]], [[8, 14, 2, 1, 5], [v = 1, u = 3^(1/2), x = -3, y <
0, (3-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576]
, [-3, -3], [-1, -1], [3, 3]]]], [[8, 15, 6, 6, 1], [v = 1, 3^(1/2) < u, x = 0
, y = u^2-2, z = z], [regular_chain, [[1, 1], [3, 3], [0, 0], [7, 7], [0, 0]]]
], [[9, 5, 11, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-1, -1], [0, 0]]]], [
[9, 7, 9, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(
0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [
-4, -4], [-3, -3]]]], [[9, 7, 9, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]],
[[9, 7, 9, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And
(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-4, -4], [0, 0]]]], [[9, 7, 9, 1, 4], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-
x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-4, -4], [980853/524288, 
1961707/1048576]]]], [[9, 7, 9, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-4, -4], [3, 3]]]], [[9, 9, 5, 2, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0),
y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-1/2, -1/2], [-8208699/4194304, -32834795/16777216]
, [-3, -3]]]], [[9, 9, 5, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2
], [-8208699/4194304, -32834795/16777216], [-410915/262144, -3287319/2097152]]
]], [[9, 9, 5, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2
-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [-1/2, -1/2], [-8208699/4194304, -32834795/16777216], [-1/4194304, -1/
4194304]]]], [[9, 9, 5, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2],
[-8208699/4194304, -32834795/16777216], [1643659/1048576, 410915/262144]]]], [
[9, 9, 5, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-\
8208699/4194304, -32834795/16777216], [3, 3]]]], [[9, 10, 9, 5, 1], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[9, 16, 9, 4, 1], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-2, -2],
[-1, -1]]]], [[9, 16, 9, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1
< x, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [2, 2], [-2, -2], [0, 0]]]], [[9, 16, 9, 4, 3]
, [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-2, -2], [1, 1]]]], [[10, 1, 2, 7, 1], [v = 2^(1/2), u < -2
, x = -u^2+1, 2*u^2-4 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-8, -8], [15, 15], [0, 0]]]], [[10, 5, 5, 3, 1], [v = 2^(
1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0)
, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-\
746709/2097152, -746709/2097152], [-3, -3]]]], [[10, 5, 5, 3, 2], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195
/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-746709/
2097152, -746709/2097152], [-554529/524288, -1109057/1048576]]]], [[10, 5, 5,
3, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(-u^2
-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [-746709/2097152, -746709/2097152], [0, 0]]]
], [[10, 5, 5, 3, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u
^2-3), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [-746709/2097152, -746709/2097152], [1109057/
1048576, 554529/524288]]]], [[10, 5, 5, 3, 5], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [-746709/2097152, -746709/
2097152], [3, 3]]]], [[10, 7, 2, 4, 1], [v = 2^(1/2), And(-v < u,u < -1), x =
u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [569265/524288, 1138531/1048576], [-2, -2]]]], [[10, 7, 2, 4
, 2], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-3235683/2097152, -1617841/1048576], [569265/524288, 
1138531/1048576], [-1417877/2097152, -354469/524288]]]], [[10, 7, 2, 4, 3], [v
= 2^(1/2), And(-v < u,u < -1), x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z
,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
569265/524288, 1138531/1048576], [0, 0]]]], [[10, 7, 2, 4, 4], [v = 2^(1/2), 
And(-v < u,u < -1), x = u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/524288, 1138531/
1048576], [354469/524288, 708939/1048576]]]], [[10, 7, 2, 4, 5], [v = 2^(1/2),
And(-v < u,u < -1), x = u^2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/524288, 1138531/
1048576], [2, 2]]]], [[10, 12, 9, 3, 1], [v = 2^(1/2), u = 1, 1 < x, And(-x-2
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [2, 2], [-3, -3], [-2, -2]]]], [[10, 12, 9, 3, 2], [v = 2^(1
/2), u = 1, 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [1, 1], [2, 2], [-3, -3], [-1, -1]]]], [[10,
12, 9, 3, 3], [v = 2^(1/2), u = 1, 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[1, 1], [2, 2], [-3, -3], [0, 0]]]], [[10, 12, 9, 3, 4], [v = 2^(1/2), u = 1,
1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [2, 2], [-3, -3], [1, 1]]]], [[10, 12, 9, 3,
5], [v = 2^(1/2), u = 1, 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [-3, -3], [2
, 2]]]], [[10, 14, 3, 5, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[
10, 14, 3, 5, 2], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 14,
3, 5, 3], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]
], [[10, 14, 3, 5, 4], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10
, 14, 3, 5, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 2, 4, 3,
1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1
/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1],
[-1, -1], [-3, -3]]]], [[11, 2, 4, 3, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x
= -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-1738867
/524288, -3477733/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/
524288]]]], [[11, 2, 4, 3, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(-\
2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[11, 2, 4
, 3, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = (1-y
)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -\
1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 2, 4, 3, 5], [2^(1/2)
< v, u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [-1, -1
], [3, 3]]]], [[11, 3, 9, 1, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152
, 1566621/2097152], [-5, -5], [-4, -4]]]], [[11, 3, 9, 1, 2], [2^(1/2) < v, 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2
+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5], [-540613/
262144, -2162451/1048576]]]], [[11, 3, 9, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5], [0,
0]]]], [[11, 3, 9, 1, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152
, 1566621/2097152], [-5, -5], [2162451/1048576, 540613/262144]]]], [[11, 3, 9,
1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -\
5], [4, 4]]]], [[11, 9, 10, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(
v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [-\
9454679/4194304, -9454679/4194304], [-3, -3]]]], [[11, 9, 10, 3, 2], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [-9454679/4194304, -9454679/4194304], [-587149/
524288, -1174297/1048576]]]], [[11, 9, 10, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1
/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [-9454679/4194304, -9454679/4194304], [0, 0]]]], [[
11, 9, 10, 3, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= 1, And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [1, 1], [-9454679/4194304, -9454679/
4194304], [1174297/1048576, 587149/524288]]]], [[11, 9, 10, 3, 5], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1
), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [-9454679/4194304, -9454679/4194304], [3, 3]]]], [[11, 11, 3
, 8, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-\
1 < x,x < -1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [0, 0], [-11
/2, -11/2], [27/2, 27/2], [0, 0]]]], [[11, 15, 6, 4, 1], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [0, 0], [-2, -2]]]], [[11, 15, 6, 4, 2], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [0, 0], [-735979/1048576, -1471957/2097152]]]], [[11, 15, 6,
4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [0, 0],
[-1/4194304, -1/4194304]]]], [[11, 15, 6, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576]
, [0, 0], [367989/524288, 735979/1048576]]]], [[11, 15, 6, 4, 5], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [0, 0], [2, 2]]]], [[11, 17, 3, 7, 1], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
-2614535/2097152, -2614535/2097152], [1041671/1048576, 1041671/1048576], [-2,
-2]]]], [[11, 17, 3, 7, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u
^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [1041671/1048576, 1041671/1048576], [-1055459/2097152, -\
527729/1048576]]]], [[11, 17, 3, 7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-2614535/2097152, -2614535/2097152], [1041671/1048576, 1041671/
1048576], [0, 0]]]], [[11, 17, 3, 7, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [1041671/1048576, 1041671/1048576], [527729/
1048576, 263865/524288]]]], [[11, 17, 3, 7, 5], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535
/2097152, -2614535/2097152], [1041671/1048576, 1041671/1048576], [2, 2]]]], [[
1, 1, 8, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [-18, -18],
[-6, -6]]]], [[1, 1, 8, 2, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, y = -
u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1, 1
], [-18, -18], [-2161695/524288, -4323389/1048576]]]], [[1, 1, 8, 2, 3], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [-18,
-18], [0, 0]]]], [[1, 1, 8, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, y
= -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [1,
1], [-18, -18], [4323389/1048576, 2161695/524288]]]], [[1, 1, 8, 2, 5], [v < -
2^(1/2), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [1, 1], [-18, -18], [6, 6]]]], [[1, 3, 1,
7, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2
-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [2226663/524288, 2226663/524288], [0, 0]
]]], [[1, 9, 3, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-395403/524288, -3163223/4194304], [-3, -3]]]], [
[1, 9, 3, 2, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-395403/524288, -3163223/4194304], [-3321417/
2097152, -415177/262144]]]], [[1, 9, 3, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-\
395403/524288, -3163223/4194304], [0, 0]]]], [[1, 9, 3, 2, 4], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2
-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-395403/
524288, -3163223/4194304], [415177/262144, 1660709/1048576]]]], [[1, 9, 3, 2,
5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304]
, [-395403/524288, -3163223/4194304], [3, 3]]]], [[1, 10, 5, 5, 1], [v < -2^(1
/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -\
1/2], [1/4, 1/4], [-2, -2]]]], [[1, 10, 5, 5, 2], [v < -2^(1/2), u = -(v^2-2)^
(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[1/4, 1/4], [-1/2, -1/2]]]], [[1, 10, 5, 5, 3], [v < -2^(1/2), u = -(v^2-2)^(1
/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2,
-1/2], [1/4, 1/4], [0, 0]]]], [[1, 10, 5, 5, 4], [v < -2^(1/2), u = -(v^2-2)^(
1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1/4, 1/4], [1/
2, 1/2]]]], [[1, 10, 5, 5, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1,
14, 8, 1, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/
2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [-4,
-4], [-3, -3]]]], [[1, 14, 8, 1, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1,
y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821
/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[1, 14,
8, 1, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[1, 14, 8, 1, 4], [v
< -2^(1/2), u = (v^2-1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [-4, -4],
[908093/524288, 1816187/1048576]]]], [[1, 14, 8, 1, 5], [v < -2^(1/2), u = (v^
2-1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1, 1], [-4, -4], [3, 3]]]], [[1, 16, 2, 1, 1
], [v < -2^(1/2), u = -v, x = -1, y < 0, z < -(1-y)^(1/2)], [regular_chain, [[
-3, -3], [3, 3], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 16, 2, 1, 2], [v < -2^(
1/2), u = -v, x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3,
3], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[1, 16, 2, 1,
3], [v < -2^(1/2), u = -v, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [-1, -1], [0, 0]]]], [[1, 16,
2, 1, 4], [v < -2^(1/2), u = -v, x = -1, y < 0, z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[1, 16, 2, 1, 5], [v < -2^(1/2), u = -v, x = -1, y < 0, (1-y)^(1
/2) < z], [regular_chain, [[-3, -3], [3, 3], [-1, -1], [-1, -1], [3, 3]]]], [[
2, 1, 1, 3, 1], [v = -2^(1/2), u < -2, x < -u^2+1, And(0 < y,y < -u^2-x+1), z
< -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3
], [-9, -9], [1/2, 1/2], [-4, -4]]]], [[2, 1, 1, 3, 2], [v = -2^(1/2), u < -2,
x < -u^2+1, And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [1/2, 1/2], [-24456785/
8388608, -1528549/524288]]]], [[2, 1, 1, 3, 3], [v = -2^(1/2), u < -2, x < -u^
2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [1/2,
1/2], [0, 0]]]], [[2, 1, 1, 3, 4], [v = -2^(1/2), u < -2, x < -u^2+1, And(0 <
y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9, -9], [1/2, 1/2], [1528549/524288, 3057099/
1048576]]]], [[2, 1, 1, 3, 5], [v = -2^(1/2), u < -2, x < -u^2+1, And(0 < y,y
< -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [1/2, 1/2], [4, 4]]]], [[2, 2, 3, 8, 1], [v = -2^
(1/2), u = -2, And(-3 < x,x < -1), y = 1-x, z = z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-2, -2], [-2, -2], [3, 3], [0, 0]]]], [[2, 9, 9, 4
, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = -x, z < 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8],
[-7/8, -7/8], [-1, -1]]]], [[2, 9, 9, 4, 2], [v = -2^(1/2), And(-1 < u,u < 0),
And(-u^2+1 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [7/8, 7/8], [-7/8, -7/8], [0, 0]]]], [[2, 9, 9,
4, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = -x, 0 < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8
], [-7/8, -7/8], [1, 1]]]], [[2, 11, 2, 7, 1], [v = -2^(1/2), And(0 < u,u < 1)
, x = u^2-3, -2*u^2+4 < y, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1/2, 1/2], [-11/4, -11/4], [5, 5], [0, 0]]]], [[2, 17, 4, 2, 1], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1, -1], [-388511/262144, -1554043/1048576], [-3, -3]]]], [[2, 17,
4, 2, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = -u^2+2, z = -(u^2
-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-1, -1], [-388511/262144, -1554043/1048576], [-\
825991/524288, -3303963/2097152]]]], [[2, 17, 4, 2, 3], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), x = -1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-1, -1], [-388511/262144, -1554043/1048576], [-1/4194304, -\
1/4194304]]]], [[2, 17, 4, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -\
1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [-388511/262144, -\
1554043/1048576], [1651981/1048576, 825991/524288]]]], [[2, 17, 4, 2, 5], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = -u^2+2, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1, -1], [-388511/262144, -1554043/1048576], [3, 3]]]], [[2, 18, 6,
5, 1], [v = -2^(1/2), u = 2, x = 0, And(0 < y,y < 1), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [1/2, 1/2], [0, 0]]]], [[
3, 3, 7, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(0 < x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[501965/2097152, 501965/2097152], [-125491/1048576, -125491/1048576], [0, 0]]]
], [[3, 5, 3, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [-3, -3]]]], [[3
, 5, 3, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-
u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [-2, -2], [-7542477/4194304, -1885619/1048576]
]]], [[3, 5, 3, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [0, 0]
]]], [[3, 5, 3, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [1885619/1048576
, 471405/262144]]]], [[3, 5, 3, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [3, 3]]]], [[
3, 11, 4, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x =
-1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-\
1196409/4194304, -1196409/4194304], [-3, -3]]]], [[3, 11, 4, 3, 2], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0)
, z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304
], [-1188757/1048576, -297189/262144]]]], [[3, 11, 4, 3, 3], [And(-2^(1/2) < v
,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), And(-
(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-1196409/
4194304, -1196409/4194304], [0, 0]]]], [[3, 11, 4, 3, 4], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [
297189/262144, 1188757/1048576]]]], [[3, 11, 4, 3, 5], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [3, 3]]]], [[
3, 13, 1, 4, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [401729/262144, 1606917/1048576], [-3, -3]]]], [[3, 13, 1, 4, 2], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2
-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [401729/262144, 
1606917/1048576], [-1270261/1048576, -317565/262144]]]], [[3, 13, 1, 4, 3], [
And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -
u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [401729/262144, 1606917/1048576], [0, 0]]]], [[3,
13, 1, 4, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u
^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [
401729/262144, 1606917/1048576], [317565/262144, 1270261/1048576]]]], [[3, 13,
1, 4, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v
^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [
401729/262144, 1606917/1048576], [3, 3]]]], [[3, 14, 5, 7, 1], [And(-2^(1/2) <
v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 15, 11, 4, 1], [And(-2^(1/2) <
v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-2, -2], [-1, -1]]]], [[3, 15, 11, 4, 2], [And(-2^(1/2) < v,
v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-2, -2], [0, 0]]]], [[3, 15, 11, 4, 3], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-2, -2], [1, 1]]]], [[4, 4, 4, 2, 1], [v = -1, u = -2^(1/2),
x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [-1, -1], [-3, -3]]]], [[4, 4, 4, 2, 2], [v = -1, u
= -2^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[4, 4, 4, 2, 3], [v = -1, u = -2^(1/2), x = -1, y = -1, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576,
-741455/524288], [-1, -1], [-1, -1], [0, 0]]]], [[4, 4, 4, 2, 4], [v = -1, u =
-2^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]
]]], [[4, 4, 4, 2, 5], [v = -1, u = -2^(1/2), x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -\
1], [3, 3]]]], [[4, 5, 10, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = 1, y
< -u^2-1, z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[4, 5, 10, 1, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), x = 1, y < -u^2-1, z = -(-y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [-4, -\
4], [-1816187/1048576, -3632373/2097152]]]], [[4, 5, 10, 1, 3], [v = -1, And(-
2^(1/2) < u,u < -1), x = 1, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1, 1], [
-4, -4], [-1/4194304, -1/4194304]]]], [[4, 5, 10, 1, 4], [v = -1, And(-2^(1/2)
< u,u < -1), x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[4, 5, 10, 1, 5], [v = -1, And(-2^(1/2) < u,u < -1), x =
1, y < -u^2-1, (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [1, 1], [-4, -4], [3, 3]]]], [[4, 10, 6, 3, 1], [v = -1,
u = 1, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1
], [1, 1], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[4, 10, 6, 3, 2], [v = -1, u =
1, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [
1, 1], [1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[4, 10,
6, 3, 3], [v = -1, u = 1, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3/2, -3/2], [0, 0
]]]], [[4, 10, 6, 3, 4], [v = -1, u = 1, x = 1, And(-2 < y,y < -1), z = (-y-1)
^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3/2, -3/2], [741455/
1048576, 46341/65536]]]], [[4, 10, 6, 3, 5], [v = -1, u = 1, x = 1, And(-2 < y
,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3/2,
-3/2], [2, 2]]]], [[4, 12, 2, 3, 1], [v = -1, u = 2^(1/2), x = -2, And(0 < y,y
< 2), z < -(2-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [-2, -2]]]], [[4, 12, 2, 3, 2], [v = -1, u = 2^(1/
2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[4, 12, 2, 3,
3], [v = -1, u = 2^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (
2-y)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2
, -2], [1, 1], [0, 0]]]], [[4, 12, 2, 3, 4], [v = -1, u = 2^(1/2), x = -2, And
(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-2, -2], [1, 1], [1, 1]]]], [[4, 12, 2, 3, 5], [v = -1, u =
2^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[-1, -1]
, [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [2, 2]]]], [[5, 2, 7, 2,
1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3
^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-7/2, -7/2]
, [-3, -3]]]], [[5, 2, 7, 2, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0
< x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/
2], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[5, 2,
7, 2, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [
1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[5, 2, 7, 2, 4], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-7/2, -7/2], [908093/
524288, 1816187/1048576]]]], [[5, 2, 7, 2, 5], [And(-1 < v,v < 0), u = -(v^2+2
)^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-3/2, -3/2], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[5, 3, 11, 7, 1], [And
(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(u^2-v^2
-x-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [2, 2], [-3222219/4194304, -3222219/4194304], [0, 0]]]], [[5,
11, 9, 6, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/
2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-\
70317/262144, -281267/1048576], [0, 0]]]], [[5, 13, 3, 2, 1], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-35/8,
-35/8], [-5, -5]]]], [[5, 13, 3, 2, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-35/8, -35/8], [-\
1637089/524288, -3274177/1048576]]]], [[5, 13, 3, 2, 3], [And(-1 < v,v < 0), (
v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [
-43/8, -43/8], [-35/8, -35/8], [0, 0]]]], [[5, 13, 3, 2, 4], [And(-1 < v,v < 0
), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v
^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-35/8, -\
35/8], [3274177/1048576, 1637089/524288]]]], [[5, 13, 3, 2, 5], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [-35/8
, -35/8], [5, 5]]]], [[6, 5, 8, 1, 1], [v = 0, And(-1 < u,u < 0), x = 0, y < -
u^2-1, z < -(-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3, -\
3], [-3, -3]]]], [[6, 5, 8, 1, 2], [v = 0, And(-1 < u,u < 0), x = 0, y < -u^2-\
1, z = -(-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3, -3],
[-1816187/1048576, -3632373/2097152]]]], [[6, 5, 8, 1, 3], [v = 0, And(-1 < u,
u < 0), x = 0, y < -u^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[6, 5, 8, 1, 4], [v = 0, And(-1 < u,u < 0), x = 0, y < -u^2-1, z
= (-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[6, 5, 8, 1, 5], [v = 0, And(-1 < u,u < 0
), x = 0, y < -u^2-1, (-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2],
[0, 0], [-3, -3], [3, 3]]]], [[6, 7, 5, 2, 1], [v = 0, And(0 < u,u < 1), And(-\
1 < x,x < u^2-1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[1/2, 1/2], [-7/8, -7/8], [-3/8, -3/8], [-3, -3]]]], [[6, 7, 5, 2, 2], [v = 0,
And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-3/8, -3/8], [-146543/
131072, -1172343/1048576]]]], [[6, 7, 5, 2, 3], [v = 0, And(0 < u,u < 1), And(
-1 < x,x < u^2-1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-3/8, -3/8], [0, 0]]]], [[6
, 7, 5, 2, 4], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = -u^2-x-1,
z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-3/8,
-3/8], [1172343/1048576, 146543/131072]]]], [[6, 7, 5, 2, 5], [v = 0, And(0 <
u,u < 1), And(-1 < x,x < u^2-1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-3/8, -3/8], [3, 3]]]], [[6
, 11, 7, 7, 1], [v = 0, 2^(1/2) < u, And(0 < x,x < 1), And(0 < y,y < u^2-x-1),
z = z], [regular_chain, [[0, 0], [3, 3], [1/2, 1/2], [15/4, 15/4], [0, 0]]]],
[[7, 1, 10, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -\
2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3]
, [31/4, 31/4], [-19, -19], [-5, -5]]]], [[7, 1, 10, 1, 2], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-19, -19], [-3517031/
1048576, -1758515/524288]]]], [[7, 1, 10, 1, 3], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (
-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-\
19, -19], [0, 0]]]], [[7, 1, 10, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [-3, -3], [31/4, 31/4], [-19, -19], [1758515/524288, 3517031/
1048576]]]], [[7, 1, 10, 1, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2
-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/
2], [-3, -3], [31/4, 31/4], [-19, -19], [5, 5]]]], [[7, 7, 9, 9, 1], [And(0 <
v,v < 1), And(-v < u,u < v), And(0 < x,x < 1), 0 < y, z = z], [regular_chain,
[[1/2, 1/2], [0, 0], [1/2, 1/2], [1, 1], [0, 0]]]], [[7, 9, 7, 1, 1], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2
-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [-3, -3]]]],
[[7, 9, 7, 1, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2
-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304],
[-3, -3], [-7616729/4194304, -952091/524288]]]], [[7, 9, 7, 1, 3], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3,
-3], [0, 0]]]], [[7, 9, 7, 1, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/
2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-3, -3], [952091/524288, 1904183/1048576]]]], [[7
, 9, 7, 1, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3,
-3], [3, 3]]]], [[7, 11, 3, 7, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z =
z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [1029453/524288, 1029453/524288], [0, 0]]]], [[7,
12, 5, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [1/2, 1/2], [-1
, -1]]]], [[7, 12, 5, 6, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2],
[1/2, 1/2], [0, 0]]]], [[7, 12, 5, 6, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2)
, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2],
[-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[8, 5, 1, 9, 1], [v = 1, And(-2^(1/2) <
u,u < -1), x < -u^2, -x < y, z = z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [4, 4], [0, 0]]]], [[8, 6, 5, 2, 1], [v
= 1, u = -1, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[1, 1], [-1
, -1], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[8, 6, 5, 2, 2], [v = 1, u = -1
, And(0 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[1, 1], [-1, -1], [1/2
, 1/2], [-3/2, -3/2], [-1, -1]]]], [[8, 6, 5, 2, 3], [v = 1, u = -1, And(0 < x
,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-1, -1], [1/2
, 1/2], [-3/2, -3/2], [0, 0]]]], [[8, 6, 5, 2, 4], [v = 1, u = -1, And(0 < x,x
< 1), y = -1-x, z = 1], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-3/2,
-3/2], [1, 1]]]], [[8, 6, 5, 2, 5], [v = 1, u = -1, And(0 < x,x < 1), y = -1-x
, 1 < z], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]
]], [[8, 11, 5, 4, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [0, 0], [-2, -2]]]], [[8, 11,
5, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = 0, z = -(
-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [0, 0], [-7367887/8388608, -3683943/
4194304]]]], [[8, 11, 5, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x <
u^2-2), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [0,
0], [-3/8388608, -3/8388608]]]], [[8, 11, 5, 4, 4], [v = 1, And(1 < u,u < 2^(1
/2)), And(-1 < x,x < u^2-2), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [0,
0], [920985/1048576, 460493/524288]]]], [[8, 11, 5, 4, 5], [v = 1, And(1 < u,u
< 2^(1/2)), And(-1 < x,x < u^2-2), y = 0, (-x)^(1/2) < z], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304]
, [0, 0], [2, 2]]]], [[8, 12, 9, 3, 1], [v = 1, u = 2^(1/2), 1 < x, And(-x-2 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[8, 12, 9, 3, 2], [v = 1, u
= 2^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1, 1], [741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[8, 
12, 9, 3, 3], [v = 1, u = 2^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [0, 0]]]], [[8, 12, 9, 3, 4], [v = 1, u = 2^(1/2),
1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [2, 2], [-3, -3], [1, 1]]]], [[8, 12, 9, 3, 5
], [v = 1, u = 2^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-3, -3], [2
, 2]]]], [[9, 3, 3, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [581453/262144, 
2325813/1048576], [0, 0]]]], [[9, 4, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[9, 4, 7, 3, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[9, 4, 7, 3
, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1
/2], [-3/2, -3/2], [0, 0]]]], [[9, 4, 7, 3, 4], [And(1 < v,v < 2^(1/2)), u = -
(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[9, 4, 7, 3, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[9, 12, 3, 2,
1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y = -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[9, 12, 3, 2, 2], [And(1 <
v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2,
-1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 12, 3, 2, 3], [And(1 < v,v < 2^(1/2)),
u = v, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2,
-1/2], [-1/2, -1/2], [0, 0]]]], [[9, 12, 3, 2, 4], [And(1 < v,v < 2^(1/2)), u
= v, And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/2, -1/
2], [1, 1]]]], [[9, 12, 3, 2, 5], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x
< 0), y = -1-x, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[9,
13, 10, 4, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y
= u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-3213833/
2097152, -401729/262144], [-2, -2]]]], [[9, 13, 10, 4, 2], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [-3213833/2097152, -401729/262144], [-765155/1048576
, -1530309/2097152]]]], [[9, 13, 10, 4, 3], [And(1 < v,v < 2^(1/2)), And(v < u
,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [1, 1], [-3213833/2097152, -401729/262144],
[-1/4194304, -1/4194304]]]], [[9, 13, 10, 4, 4], [And(1 < v,v < 2^(1/2)), And(
v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1, 1], [-3213833/2097152, -401729/262144], [382577/524288, 765155/
1048576]]]], [[9, 13, 10, 4, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1
)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1],
[-3213833/2097152, -401729/262144], [2, 2]]]], [[10, 2, 4, 5, 1], [v = 2^(1/2)
, u = -2, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [1/2, 1/2], [-2, -2]]]],
[[10, 2, 4, 5, 2], [v = 2^(1/2), u = -2, x = -1, And(0 < y,y < 1), z = -(1-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[10, 2, 4, 5, 3], [v = 2^
(1/2), u = -2, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [1/2
, 1/2], [0, 0]]]], [[10, 2, 4, 5, 4], [v = 2^(1/2), u = -2, x = -1, And(0 < y,
y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-2, -2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[10, 2, 4, 5
, 5], [v = 2^(1/2), u = -2, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[10, 3, 8, 6, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
u^2-3, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [0, 0], [
0, 0]]]], [[10, 8, 5, 3, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(-x-2
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[10, 8, 5, 3, 2]
, [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2
], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[10, 8, 5, 3, 3], [v
= 2^(1/2), u = -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[10, 8, 5, 3, 4], [v = 2^(1/2), u
= -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3/
4, -3/4], [1172343/1048576, 146543/131072]]]], [[10, 8, 5, 3, 5], [v = 2^(1/2)
, u = -1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3/
4, -3/4], [3, 3]]]], [[10, 9, 10, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), x =
1, And(-1 < y,y < -u^2), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [1, 1], [-5/8, -5/8], [0, 0]]]], [[10, 15, 10, 4, 1],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1, 1], [-3198693/2097152, -799673/524288], [-2, -2]]]], [[10, 15, 
10, 4, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y = u^2-4, z = -(-u^2+
3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [1, 1], [-3198693/2097152, -799673/524288], [-1519901/
2097152, -379975/524288]]]], [[10, 15, 10, 4, 3], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x = 1, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1, 1], [-3198693/2097152, -799673/524288], [0, 0]]]], [[10, 15, 10,
4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y = u^2-4, z = (-u^2+3)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [1, 1], [-3198693/2097152, -799673/524288], [379975/524288,
759951/1048576]]]], [[10, 15, 10, 4, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = 1, y = u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-3198693/
2097152, -799673/524288], [2, 2]]]], [[10, 17, 5, 3, 1], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/33554432], [-3,
-3]]]], [[10, 17, 5, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x
< 0), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-\
33253297/33554432, -33253297/33554432], [-1280391/1048576, -640195/524288]]]],
[[10, 17, 5, 3, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), 
And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/33554432], [0, 0]]]], [
[10, 17, 5, 3, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), 
And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-33253297
/33554432, -33253297/33554432], [640195/524288, 1280391/1048576]]]], [[10, 17,
5, 3, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(-u^2-x+
1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-33253297/
33554432, -33253297/33554432], [3, 3]]]], [[10, 18, 9, 4, 1], [v = 2^(1/2), u
= 2, 1 < x, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[2, 2], [2, 2], [-2, -2], [-1, -1]]]], [[10, 18, 9, 4, 2], [v = 2^(1/2), u = 2
, 1 < x, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [2
, 2], [2, 2], [-2, -2], [0, 0]]]], [[10, 18, 9, 4, 3], [v = 2^(1/2), u = 2, 1
< x, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2]
, [2, 2], [-2, -2], [1, 1]]]], [[11, 1, 2, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(
1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-17, -17], [17/2, 17/2], [-4, -4]]]], [[11,
1, 2, 3, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u
^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17,
-17], [17/2, 17/2], [-24456785/8388608, -1528549/524288]]]], [[11, 1, 2, 3, 3]
, [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1),
And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3
], [-5, -5], [-17, -17], [17/2, 17/2], [0, 0]]]], [[11, 1, 2, 3, 4], [2^(1/2)
< v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^
2-y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [17/2, 17/2], [
1528549/524288, 3057099/1048576]]]], [[11, 1, 2, 3, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z]
, [regular_chain, [[3, 3], [-5, -5], [-17, -17], [17/2, 17/2], [4, 4]]]], [[11
, 7, 2, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y
= -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [133001/131072
, 1064009/1048576], [-2, -2]]]], [[11, 7, 2, 4, 2], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [133001/131072, 1064009/1048576], [-735979/1048576,
-1471957/2097152]]]], [[11, 7, 2, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-
v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-3161161/2097152, -395145/262144], [133001/131072, 1064009/1048576], [-1/
4194304, -1/4194304]]]], [[11, 7, 2, 4, 4], [2^(1/2) < v, And(-v < u,u < -(v^2
-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [133001/131072, 1064009/1048576], [367989/524288, 
735979/1048576]]]], [[11, 7, 2, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/
262144], [133001/131072, 1064009/1048576], [2, 2]]]], [[11, 8, 5, 4, 1], [2^(1
/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
0, 0], [-2, -2]]]], [[11, 8, 5, 4, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-\
1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[11, 8, 5, 4, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x
< 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 8,
5, 4, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)
^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2
, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 8, 5, 4, 5], [2^(1/2)
< v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
0, 0], [2, 2]]]], [[11, 12, 7, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 <
x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [2774271/1048576
, 10837/4096], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 13, 11, 6, 1], [2^(1
/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z
= z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-\
391029/262144, -1564115/1048576], [0, 0]]]], [[11, 20, 2, 5, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [-3, -3], [7/2, 7/2], [0, 0]]]], [[11, 21,
6, 6, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, y = u^2-v^2-1, z = z], [
regular_chain, [[3, 3], [5, 5], [0, 0], [15, 15], [0, 0]]]], [[1, 4, 4, 1, 1],
[v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [-2, -2
], [-3, -3]]]], [[1, 4, 4, 1, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y
< -1, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/1048576, -207243
/65536], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[1, 4,
4, 1, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y < -1, And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/
65536], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 4, 4, 1, 4], [v
< -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [-2, -2
], [908093/524288, 1816187/1048576]]]], [[1, 4, 4, 1, 5], [v < -2^(1/2), u = -
(v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1, -1], [-2, -2], [3, 3]]]], [[1, 5, 9, 9,
1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), 0 < y, z =
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [
1, 1], [0, 0]]]], [[1, 11, 9, 2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-29/2, -29/2], [-5, -5
]]]], [[1, 11, 9, 2, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/
2)), And(1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-29/2, -29/2], [-3315889/
1048576, -207243/65536]]]], [[1, 11, 9, 2, 3], [v < -2^(1/2), And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [0,
0], [9/2, 9/2], [-29/2, -29/2], [0, 0]]]], [[1, 11, 9, 2, 4], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), y = u^2-
v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2
], [-29/2, -29/2], [207243/65536, 3315889/1048576]]]], [[1, 11, 9, 2, 5], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1)
, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0],
[9/2, 9/2], [-29/2, -29/2], [5, 5]]]], [[1, 13, 2, 7, 1], [v < -2^(1/2), And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, -2*u^2+2*v^2 < y, z = z],
[regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152
, -657547/262144], [5, 5], [0, 0]]]], [[1, 17, 9, 3, 1], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1
), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1/2, 1/2], [-201326609/134217728, -201326609/134217728], [-3, -3]]]]
, [[1, 17, 9, 3, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
201326609/134217728, -201326609/134217728], [-1048577/1048576, -1]]]], [[1, 17
, 9, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [-\
201326609/134217728, -201326609/134217728], [0, 0]]]], [[1, 17, 9, 3, 4], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [1/2, 1/2], [-201326609/134217728, -201326609/
134217728], [1, 1048577/1048576]]]], [[1, 17, 9, 3, 5], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [1/2, 1/2], [-201326609/134217728, -201326609/134217728], [3, 3]]]], [[1, 
19, 4, 6, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
y = 1, z < 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-1, -1], [1, 1], [-1, -1]]]], [[1, 19, 4, 6, 2], [v < -2^(1/2), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [-1, -1], [1, 1], [0, 0]]]], [[1, 19, 4, 6
, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1,
0 < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1, -1
], [1, 1], [1, 1]]]], [[2, 3, 7, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)
), And(0 < x,x < u^2-3), And(-x < y,y < 0), z = z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
2097152, 505467/2097152], [-252733/2097152, -252733/2097152], [0, 0]]]], [[2,
5, 3, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y
< -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [-2, -2], [-3, -3]]]], [[2, 5, 3, 1, 2], [v = -2^(1/2), And(-3^(1/2)
< u,u < v), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-2, -2], [-3773343/
2097152, -7546685/4194304]]]], [[2, 5, 3, 1, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(-u^2+1 < x,x < -1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-2, -2], [-\
1/8388608, -1/8388608]]]], [[2, 5, 3, 1, 4], [v = -2^(1/2), And(-3^(1/2) < u,u
< v), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-2, -2], [1886671/1048576, 117917/65536]]
]], [[2, 5, 3, 1, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x
< -1), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [-2, -2], [3, 3]]]], [[2, 7, 1, 2, 1], [v = -2^(1/2), And(v
< u,u < -1), x < u^2-3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [0,
0], [-3, -3]]]], [[2, 7, 1, 2, 2], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[2, 7, 1, 2, 3], [v = -2^(1/2), And(v < u,u < -1), x < u
^2-3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [0,
0], [-1/4194304, -1/4194304]]]], [[2, 7, 1, 2, 4], [v = -2^(1/2), And(v < u,u
< -1), x < u^2-3, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[2, 7, 1, 2, 5], [v = -2^(1/2), And(v < u
,u < -1), x < u^2-3, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [0,
0], [3, 3]]]], [[2, 8, 4, 4, 1], [v = -2^(1/2), u = -1, x = -1, y = 0, z < -1]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [0,
0], [-2, -2]]]], [[2, 8, 4, 4, 2], [v = -2^(1/2), u = -1, x = -1, y = 0, z = -\
1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [
0, 0], [-1, -1]]]], [[2, 8, 4, 4, 3], [v = -2^(1/2), u = -1, x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1,
-1], [-1, -1], [0, 0], [0, 0]]]], [[2, 8, 4, 4, 4], [v = -2^(1/2), u = -1, x =
-1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -\
1], [-1, -1], [0, 0], [1, 1]]]], [[2, 8, 4, 4, 5], [v = -2^(1/2), u = -1, x =
-1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -\
1], [-1, -1], [0, 0], [2, 2]]]], [[2, 14, 1, 4, 1], [v = -2^(1/2), u = -v, x <
-1, y = -1-x, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[2, 14, 1, 4,
2], [v = -2^(1/2), u = -v, x < -1, y = -1-x, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[1, 1], [-1, -1]]]], [[2, 14, 1, 4, 3], [v = -2^(1/2), u = -v, x < -1, y = -1-
x, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-2, -2], [1, 1], [0, 0]]]], [[2, 14, 1, 4, 4
], [v = -2^(1/2), u = -v, x < -1, y = -1-x, z = 1], [regular_chain, [[-1482911
/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [1, 1],
[1, 1]]]], [[2, 14, 1, 4, 5], [v = -2^(1/2), u = -v, x < -1, y = -1-x, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [2, 2]]]], [[2, 15, 9, 7, 1], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3, 1, 1, 3, 1], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1),
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [-10, -10], [763943/1048576, 763943/1048576], [-5, -5]]]], [[3, 1, 1, 3
, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y
,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10, -10], [763943/1048576, 763943/1048576], [-\
3192815/1048576, -1596407/524288]]]], [[3, 1, 1, 3, 3], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3, -3], [-10, -10], [763943/1048576, 763943/1048576], [0, 0]]]],
[[3, 1, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-\
1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [763943/1048576, 763943/
1048576], [1596407/524288, 3192815/1048576]]]], [[3, 1, 1, 3, 5], [And(-2^(1/2
) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1)
, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10, -10], [763943/1048576, 763943/1048576], [5, 5]]]], [[3, 2, 3, 8,
1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 1-x
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-2, -2], [3, 3], [0, 0]]]], [[3, 8, 3, 7, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), -x < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [-3/2, -3/2], [3, 3], [0, 0]]]], [[3, 9, 9, 8, 1], [And(-2^(1
/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x
,x < 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [1527887/2097152, 1527887/2097152], [0, 0], [0, 0]]]], [[3, 17, 4, 1,
1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z < -(
1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-\
1, -1], [-9, -9], [-5, -5]]]], [[3, 17, 4, 1, 2], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-9, -9], [-3315889/
1048576, -207243/65536]]]], [[3, 17, 4, 1, 3], [And(-2^(1/2) < v,v < -1), (v^2
+2)^(1/2) < u, x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-9, -\
9], [0, 0]]]], [[3, 17, 4, 1, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u
, x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [-1, -1], [-9, -9], [207243/65536, 3315889/1048576]
]]], [[3, 17, 4, 1, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1,
y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1, -1], [-9, -9], [5, 5]]]], [[4, 1, 6, 4, 1], [v = -1, u
< -3^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1, -1], [-3, -3], [0, 0],
[0, 0], [-1, -1]]]], [[4, 1, 6, 4, 2], [v = -1, u < -3^(1/2), x = 0, y = 0, z
= 0], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[4, 1,
6, 4, 3], [v = -1, u < -3^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1, -\
1], [-3, -3], [0, 0], [0, 0], [1, 1]]]], [[4, 7, 6, 1, 1], [v = -1, And(-1 < u
,u < 0), x = -u^2, y < 2*u^2-2, z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [-3, -3]]]], [[4, 7, 6, 1, 2], [v = -1
, And(-1 < u,u < 0), x = -u^2, y < 2*u^2-2, z = -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [-3780695/
2097152, -7561389/4194304]]]], [[4, 7, 6, 1, 3], [v = -1, And(-1 < u,u < 0), x
= -u^2, y < 2*u^2-2, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [-1/8388608, -\
1/8388608]]]], [[4, 7, 6, 1, 4], [v = -1, And(-1 < u,u < 0), x = -u^2, y < 2*u
^2-2, z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4
], [-3, -3], [1890347/1048576, 472587/262144]]]], [[4, 7, 6, 1, 5], [v = -1, 
And(-1 < u,u < 0), x = -u^2, y < 2*u^2-2, (u^2-y)^(1/2) < z], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [3, 3]]]], [[4, 9, 1, 6, 1],
[v = -1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, z < -u], [regular_chain, [[-\
1, -1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [-2, -2]]]], [[4, 9, 1, 6, 2], [v
= -1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, z = -u], [regular_chain, [[-1,
-1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [-1/2, -1/2]]]], [[4, 9, 1, 6, 3], [v
= -1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [0, 0]]]], [[4,
9, 1, 6, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [1/2, 1/2]]]], [
[4, 9, 1, 6, 5], [v = -1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, u < z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [2, 2]]]], [[4,
13, 7, 7, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And
(0 < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [497805/2097152, 497805/2097152], [248903/2097152, 248903/
2097152], [0, 0]]]], [[4, 15, 1, 3, 1], [v = -1, 3^(1/2) < u, x < -u^2, And(0
< y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10,
-10], [1/2, 1/2], [-5, -5]]]], [[4, 15, 1, 3, 2], [v = -1, 3^(1/2) < u, x < -u
^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3,
3], [-10, -10], [1/2, 1/2], [-3231929/1048576, -403991/131072]]]], [[4, 15, 1,
3, 3], [v = -1, 3^(1/2) < u, x < -u^2, And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [1/2,
1/2], [0, 0]]]], [[4, 15, 1, 3, 4], [v = -1, 3^(1/2) < u, x < -u^2, And(0 < y,
y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10],
[1/2, 1/2], [403991/131072, 3231929/1048576]]]], [[4, 15, 1, 3, 5], [v = -1, 3
^(1/2) < u, x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain
, [[-1, -1], [3, 3], [-10, -10], [1/2, 1/2], [5, 5]]]], [[5, 5, 6, 2, 1], [And
(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [-848315/1048576, -\
3393259/4194304], [-3, -3]]]], [[5, 5, 6, 2, 2], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [-\
19417/16384, -1242687/1048576]]]], [[5, 5, 6, 2, 3], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-848315/
1048576, -3393259/4194304], [0, 0]]]], [[5, 5, 6, 2, 4], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [
1242687/1048576, 19417/16384]]]], [[5, 5, 6, 2, 5], [And(-1 < v,v < 0), And(-(
v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [3, 3]
]]], [[5, 7, 3, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 <
x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[
-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [-2, -2]]]], [[5, 7, 3, 5, 2]
, [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(0 < y,
y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-9/8, -9/8], [3/16, 3/16], [-8122235/8388608, -16244469/16777216]]]], [[5, 7,
3, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), 
And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [-5/33554432
, -5/33554432]]]], [[5, 7, 3, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [1015279/
1048576, 63455/65536]]]], [[5, 7, 3, 5, 5], [And(-1 < v,v < 0), And(v < u,u <
-v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [2, 2]]]]
, [[5, 9, 1, 4, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^
2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [-3, -3], [836497/524288, 1672995/
1048576], [-3, -3]]]], [[5, 9, 1, 4, 2], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
836497/524288, 1672995/1048576], [-19417/16384, -1242687/1048576]]]], [[5, 9,
1, 4, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y
= -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
836497/524288, 1672995/1048576], [0, 0]]]], [[5, 9, 1, 4, 4], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [836497/524288, 1672995/1048576], [1242687/1048576, 19417/
16384]]]], [[5, 9, 1, 4, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2))
, x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [836497/524288, 
1672995/1048576], [3, 3]]]], [[5, 10, 4, 6, 1], [And(-1 < v,v < 0), u = (v^2+1
)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [-1, -1], [1, 1], [-1, -1]]]], [[5, 10, 4, 6, 2], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [
[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [1, 1], [0, 0]]]], [
[5, 10, 4, 6, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, y = 1, 0 < z]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [
1, 1], [1, 1]]]], [[6, 2, 9, 1, 1], [v = 0, u = -2^(1/2), 1 < x, y < -x-3, z <
-(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [
2, 2], [-6, -6], [-3, -3]]]], [[6, 2, 9, 1, 2], [v = 0, u = -2^(1/2), 1 < x, y
< -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [2, 2], [-6, -6], [-2, -2]]]], [[6, 2, 9, 1, 3], [v = 0, u = -
2^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2], [-6, -6],
[0, 0]]]], [[6, 2, 9, 1, 4], [v = 0, u = -2^(1/2), 1 < x, y < -x-3, z = (-x-y)
^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [2, 2],
[-6, -6], [2, 2]]]], [[6, 2, 9, 1, 5], [v = 0, u = -2^(1/2), 1 < x, y < -x-3,
(-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288]
, [2, 2], [-6, -6], [3, 3]]]], [[6, 4, 3, 1, 1], [v = 0, u = -1, And(-2 < x,x
< -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2,
-3/2], [-2, -2], [-3, -3]]]], [[6, 4, 3, 1, 2], [v = 0, u = -1, And(-2 < x,x <
-1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [-3/2, -\
3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[6, 4, 3, 1, 3], [v =
0, u = -1, And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[6
, 4, 3, 1, 4], [v = 0, u = -1, And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)]
, [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-2, -2], [980853/524288, 
1961707/1048576]]]], [[6, 4, 3, 1, 5], [v = 0, u = -1, And(-2 < x,x < -1), y <
-x-2, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [-3/2, -3/2], [-2,
-2], [3, 3]]]], [[6, 9, 1, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1,
And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-4, -4], [2906073/1048576, 2906073/1048576
], [-3, -3]]]], [[6, 9, 1, 5, 2], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1,
And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-4, -4], [2906073/1048576, 2906073/1048576
], [-1162243/1048576, -581121/524288]]]], [[6, 9, 1, 5, 3], [v = 0, And(1 < u,
u < 2^(1/2)), x < -u^2-1, And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
-4, -4], [2906073/1048576, 2906073/1048576], [0, 0]]]], [[6, 9, 1, 5, 4], [v =
0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [
2906073/1048576, 2906073/1048576], [581121/524288, 1162243/1048576]]]], [[6, 9
, 1, 5, 5], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(-u^2-x-1 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-4, -4], [2906073/1048576, 2906073/1048576], [3, 3]]]], [[6, 10, 4,
1, 1], [v = 0, u = 2^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[
6, 10, 4, 1, 2], [v = 0, u = 2^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [-3, -3],
[-2, -2]]]], [[6, 10, 4, 1, 3], [v = 0, u = 2^(1/2), x = -1, y < -2, And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[6, 10, 4, 1, 4], [v = 0, u
= 2^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[6, 10, 4, 1, 5], [v
= 0, u = 2^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1, -1], [-3, -3], [3, 3]]]], [[7, 4, 8, 7,
1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [1, 1]
, [0, 0]]]], [[7, 6, 3, 2, 1], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y
= -1-x, z < -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/
2, -1/2], [-2, -2]]]], [[7, 6, 3, 2, 2], [And(0 < v,v < 1), u = -v, And(-1 < x
,x < 0), y = -1-x, z = -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2,
-1/2], [-1/2, -1/2], [-1, -1]]]], [[7, 6, 3, 2, 3], [And(0 < v,v < 1), u = -v,
And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[7, 6, 3, 2, 4], [And(0
< v,v < 1), u = -v, And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[1/2
, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[7, 6, 3, 2, 5],
[And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y = -1-x, 1 < z], [regular_chain
, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[7, 13, 9
, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(0
< y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8
], [27/16, 27/16], [0, 0]]]], [[8, 1, 11, 8, 1], [v = 1, u < -3^(1/2), u^2-2 <
x, y = 0, z = z], [regular_chain, [[1, 1], [-3, -3], [8, 8], [0, 0], [0, 0]]]]
, [[8, 7, 11, 7, 1], [v = 1, And(-1 < u,u < 0), 1 < x, And(-x < y,y < 0), z =
z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [-1, -1], [0, 0]]]], [[8, 9
, 6, 6, 1], [v = 1, And(0 < u,u < 1), x = -u^2, y = u^2, z < 0], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [1/4, 1/4], [-1, -1]]]], [[8
, 9, 6, 6, 2], [v = 1, And(0 < u,u < 1), x = -u^2, y = u^2, z = 0], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [1/4, 1/4], [0, 0]]]], [[8,
9, 6, 6, 3], [v = 1, And(0 < u,u < 1), x = -u^2, y = u^2, 0 < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [1/4, 1/4], [1, 1]]]], [[8,
14, 2, 4, 1], [v = 1, u = 3^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[8, 14,
2, 4, 2], [v = 1, u = 3^(1/2), x = -3, y = 3, z = 0], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [-3, -3], [3, 3], [0, 0]]]], [[8, 14, 2, 4,
3], [v = 1, u = 3^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-3, -3], [3, 3], [1, 1]]]], [[8, 15, 6, 5, 1
], [v = 1, 3^(1/2) < u, x = 0, And(0 < y,y < u^2-2), z = z], [regular_chain, [
[1, 1], [3, 3], [0, 0], [7/2, 7/2], [0, 0]]]], [[9, 5, 11, 8, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [0, 0], [0, 0]]]], [[9, 7, 8, 5, 1], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z
< -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [0, 0], [-225185/1048576, -225185/1048576], [-2,
-2]]]], [[9, 7, 8, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/
2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0
], [-225185/1048576, -225185/1048576], [-242963/524288, -485925/1048576]]]], [
[9, 7, 8, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-225185/1048576, -225185/1048576], [0, 0]]]], [[9,
7, 8, 5, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, 
And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-225185/
1048576, -225185/1048576], [485925/1048576, 242963/524288]]]], [[9, 7, 8, 5, 5
], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^
2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-225185/1048576, -\
225185/1048576], [2, 2]]]], [[9, 9, 5, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 9, 5, 5, 2], [And(1 < v,v < 2^(1/2)
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 9, 5, 5, 3], [And(1 <
v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0),
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]
], [[9, 9, 5, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1/4
, 1/4], [1/2, 1/2]]]], [[9, 9, 5, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2,
-1/2], [1/4, 1/4], [2, 2]]]], [[9, 10, 9, 4, 1], [And(1 < v,v < 2^(1/2)), u =
(v^2-1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-2, -2], [-1, -1]]
]], [[9, 10, 9, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y =
-x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [-2, -2], [0, 0]]]], [[9, 10, 9, 4, 3], [And(
1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[-2, -2], [1, 1]]]], [[9, 16, 9, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-3/2, -3/2], [0, 0
]]]], [[10, 1, 2, 4, 1], [v = 2^(1/2), u < -2, x = -u^2+1, y = u^2-1, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [8, 8],
[-1, -1]]]], [[10, 1, 2, 4, 2], [v = 2^(1/2), u < -2, x = -u^2+1, y = u^2-1, z
= 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [
8, 8], [0, 0]]]], [[10, 1, 2, 4, 3], [v = 2^(1/2), u < -2, x = -u^2+1, y = u^2
-1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8,
-8], [8, 8], [1, 1]]]], [[10, 5, 5, 6, 1], [v = 2^(1/2), And(-3^(1/2) < u,u <
-v), And(-1 < x,x < u^2-3), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [248903/1048576, 31113/131072], [-2, -2]]]],
[[10, 5, 5, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-\
3), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [248903/1048576, 31113/131072], [-379975/524288, -1519899/
2097152]]]], [[10, 5, 5, 6, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1
< x,x < u^2-3), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [248903/1048576, 31113/131072],
[-1/4194304, -1/4194304]]]], [[10, 5, 5, 6, 4], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), And(-1 < x,x < u^2-3), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [248903/1048576, 31113/131072],
[759949/1048576, 379975/524288]]]], [[10, 5, 5, 6, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), And(-1 < x,x < u^2-3), y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [248903/1048576, 31113/131072],
[2, 2]]]], [[10, 7, 2, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And
(0 < y,y < -2*u^2+4), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [569265/1048576, 569265/1048576], [-3, -3]]]], [[10, 7, 2, 3
, 2], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(0 < y,y < -2*u^2+4), z
= -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
569265/1048576, 569265/1048576], [-1048577/1048576, -1]]]], [[10, 7, 2, 3, 3],
[v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(0 < y,y < -2*u^2+4), And(-(-u
^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [569265/1048576, 569265/1048576], [0, 0]]]], [[10, 7, 2, 3,
4], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(0 < y,y < -2*u^2+4), z =
(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
569265/1048576, 569265/1048576], [1, 1048577/1048576]]]], [[10, 7, 2, 3, 5], [
v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, And(0 < y,y < -2*u^2+4), (-u^2-y+3
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [569265/
1048576, 569265/1048576], [3, 3]]]], [[10, 12, 9, 4, 1], [v = 2^(1/2), u = 1,
1 < x, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [1,
1], [2, 2], [-2, -2], [-1, -1]]]], [[10, 12, 9, 4, 2], [v = 2^(1/2), u = 1, 1
< x, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1]
, [2, 2], [-2, -2], [0, 0]]]], [[10, 12, 9, 4, 3], [v = 2^(1/2), u = 1, 1 < x,
y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2,
2], [-2, -2], [1, 1]]]], [[10, 14, 3, 2, 1], [v = 2^(1/2), u = v, And(-1 < x,x
< 0), y = -1-x, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[10
, 14, 3, 2, 2], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y = -1-x, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 14, 3, 2, 3], [v = 2^
(1/2), u = v, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain,
[[741455/524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1
/2], [-1/2, -1/2], [0, 0]]]], [[10, 14, 3, 2, 4], [v = 2^(1/2), u = v, And(-1
< x,x < 0), y = -1-x, z = 1], [regular_chain, [[741455/524288, 1482911/1048576
], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[
10, 14, 3, 2, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y = -1-x, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[11, 2, 4, 4, 1], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[11, 2, 4,
4, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [0, 0],
[-1, -1]]]], [[11, 2, 4, 4, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y =
0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[11, 2, 4, 4, 4], [2^(1/2) < v, u = -(
v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [-1738867/524288
, -3477733/1048576], [-1, -1], [0, 0], [1, 1]]]], [[11, 2, 4, 4, 5], [2^(1/2)
< v, u = -(v^2+2)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-1, -1], [0, 0], [2, 2]]]], [[11, 3, 8, 5,
1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 
And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [129511/262144, 518045/1048576], [-129511/524288, -129511/
524288], [0, 0]]]], [[11, 9, 10, 6, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = 1, y = -u^2+v^2-2, z = z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [1, 1], [-515541/1048576, -128885/262144
], [0, 0]]]], [[11, 11, 3, 7, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-x < y,y < -u^2+v^2-x-1), z = z],
[regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [19/2, 19/2], [0, 0]]]], [[11
, 15, 6, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [516571
/2097152, 516571/2097152], [-2, -2]]]], [[11, 15, 6, 5, 2], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-
v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-129143/262144, -516571/1048576], [516571/2097152, 516571/2097152], [-16263/
32768, -520415/1048576]]]], [[11, 15, 6, 5, 3], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/
2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [516571/2097152, 516571/
2097152], [0, 0]]]], [[11, 15, 6, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -\
516571/1048576], [516571/2097152, 516571/2097152], [520415/1048576, 16263/
32768]]]], [[11, 15, 6, 5, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x =
-u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain
, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/
1048576], [516571/2097152, 516571/2097152], [2, 2]]]], [[11, 17, 3, 4, 1], [2^
(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [0, 0], [-3, -3]]]], [[11, 17, 3, 4, 2], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [0, 0], [-1170799/1048576, -585399/524288]
]]], [[11, 17, 3, 4, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152
], [0, 0], [0, 0]]]], [[11, 17, 3, 4, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^
(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[
3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [
0, 0], [585399/524288, 1170799/1048576]]]], [[11, 17, 3, 4, 5], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152
, -2614535/2097152], [0, 0], [3, 3]]]], [[1, 1, 8, 1, 1], [v < -2^(1/2), u < -
(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-3
, -3], [-5, -5], [1, 1], [-19, -19], [-6, -6]]]], [[1, 1, 8, 1, 2], [v < -2^(1
/2), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [1, 1], [-19, -19], [-1112183/262144, -\
4448731/1048576]]]], [[1, 1, 8, 1, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x =
1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [
[-3, -3], [-5, -5], [1, 1], [-19, -19], [0, 0]]]], [[1, 1, 8, 1, 4], [v < -2^(
1/2), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [1, 1], [-19, -19], [4448731/1048576, 
1112183/262144]]]], [[1, 1, 8, 1, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1
, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [1,
1], [-19, -19], [6, 6]]]], [[1, 3, 1, 6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-4, -4], [4, 4], [-1, -1]]]], [[1,
3, 1, 6, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u
^2+v^2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [4, 4], [0, 0]]]], [[1, 3, 1, 6, 3], [v < -2^(1/2)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [4,
4], [1, 1]]]], [[1, 9, 3, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[-7357527/4194304, -7357527/4194304], [-3163223/8388608, -3163223/8388608], [-\
3, -3]]]], [[1, 9, 3, 3, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
7357527/4194304, -7357527/4194304], [-3163223/8388608, -3163223/8388608], [-\
765399/524288, -1530797/1048576]]]], [[1, 9, 3, 3, 3], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304
], [-3163223/8388608, -3163223/8388608], [0, 0]]]], [[1, 9, 3, 3, 4], [v < -2^
(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1),
And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-\
3163223/8388608, -3163223/8388608], [1530797/1048576, 765399/524288]]]], [[1,
9, 3, 3, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^
2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-3163223/8388608, -3163223/8388608], [3, 3]]]], [
[1, 10, 5, 6, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x
, z < 0], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1
/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[1, 10, 5, 6, 2], [v < -2^(1/2), u = -(v^
2-2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1,
10, 5, 6, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x, 0
< z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2,
-1/2], [1/2, 1/2], [1, 1]]]], [[1, 14, 7, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1
/2), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[1, 16, 1, 7, 1], [v
< -2^(1/2), u = -v, x < -1, -x < y, z = z], [regular_chain, [[-3, -3], [3, 3],
[-2, -2], [3, 3], [0, 0]]]], [[2, 1, 1, 4, 1], [v = -2^(1/2), u < -2, x < -u^2
+1, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9, -9], [1, 1], [-4, -4]]]], [[2, 1, 1, 4, 2], [v
= -2^(1/2), u < -2, x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [1, 1]
, [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 1, 4, 3], [v = -2^(1/2), u
< -2, x < -u^2+1, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [1, 1]
, [-3/8388608, -3/8388608]]]], [[2, 1, 1, 4, 4], [v = -2^(1/2), u < -2, x < -u
^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9, -9], [1, 1], [741455/262144, 2965821/1048576]]]
], [[2, 1, 1, 4, 5], [v = -2^(1/2), u < -2, x < -u^2+1, y = -u^2-x+1, (u^2-1)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9
, -9], [1, 1], [4, 4]]]], [[2, 2, 3, 9, 1], [v = -2^(1/2), u = -2, And(-3 < x,
x < -1), 1-x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [-2, -2], [4, 4], [0, 0]]]], [[2, 9, 9, 3, 1], [v = -2^(1/2), And(-1
< u,u < 0), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8
], [-9/4, -9/4], [-3, -3]]]], [[2, 9, 9, 3, 2], [v = -2^(1/2), And(-1 < u,u <
0), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8],
[-9/4, -9/4], [-1229565/1048576, -307391/262144]]]], [[2, 9, 9, 3, 3], [v = -2
^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [7/8, 7/8], [-9/4, -9/4], [0, 0]]]], [[2, 9, 9,
3, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(u^2-x-3 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [7/8, 7/8], [-9/4, -9/4], [307391/262144, 1229565/
1048576]]]], [[2, 9, 9, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 <
x,x < 1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8], [-9/4, -9/4], [3,
3]]]], [[2, 11, 2, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), x = u^2-3, y = -2*u
^2+4, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-11/4, -11/4], [7/2, 7/2], [0, 0]]]], [[2, 17, 4, 3, 1], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1, -1], [-1554043/2097152, -1554043/2097152], [-3, -3]]]], [[2, 17
, 4, 3, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(-u^2+2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [-1383575/1048576, -691787/524288]]]], [[2, 17, 4, 3, 3], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [0, 0]]]], [[2, 17, 4, 3, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = -1, And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [-\
1554043/2097152, -1554043/2097152], [691787/524288, 1383575/1048576]]]], [[2,
17, 4, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(-u^2+2 < y,y
< 0), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [3, 3]]]], [[2, 18, 6, 6, 1], [v = -2^(1/2), u = 2, x = 0, y = 1, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [1,
1], [0, 0]]]], [[3, 3, 7, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [-250983/1048576, -125491
/524288], [-1, -1]]]], [[3, 3, 7, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [-250983/1048576, -125491
/524288], [0, 0]]]], [[3, 3, 7, 4, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [-250983/1048576, -125491
/524288], [1, 1]]]], [[3, 5, 2, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [3, 3], [0, 0]]]], [[3, 11, 4, 4, 1], [And(-
2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[3, 11, 4, 4, 2], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 0, z = -1], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1
, -1], [0, 0], [-1, -1]]]], [[3, 11, 4, 4, 3], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1,
-1], [0, 0], [0, 0]]]], [[3, 11, 4, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), x = -1, y = 0, z = 1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [0, 0]
, [1, 1]]]], [[3, 11, 4, 4, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [-1, -1], [0, 0], [2, 2]]]], [[3,
13, 1, 5, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u
^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[3, 13, 1, 5, 2], [And(-2^(1
/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [2,
2], [-1, -1]]]], [[3, 13, 1, 5, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [2, 2], [0, 0]
]]], [[3, 13, 1, 5, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2
)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [2, 2], [1, 1]]]], [[3, 13, 1, 5, 5], [And(-2^(1/2
) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1
< y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [2, 2], [2, 2]
]]], [[3, 14, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, y
< -2, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [0, 0], [-3, -3], [-3, -3]]]], [[3, 14, 6, 1
, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, y < -2, z = -(-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576
, 410915/262144], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [
[3, 14, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, y < -2,
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-3, -3], [-1/
4194304, -1/4194304]]]], [[3, 14, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1643659/1048576, 410915/262144], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[3, 14, 6, 1, 5], [And(-2^(1/2) < v,v < -\
1), u = (v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [0, 0],
[-3, -3], [3, 3]]]], [[3, 15, 11, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-3692339/2097152, -3692339/2097152], [0, 0]]]], [[4, 4, 4, 1
, 1], [v = -1, u = -2^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain
, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-2, -2], [-3, -3]]
]], [[4, 4, 4, 1, 2], [v = -1, u = -2^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)]
, [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-2
, -2], [-1816187/1048576, -3632373/2097152]]]], [[4, 4, 4, 1, 3], [v = -1, u =
-2^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-2, -\
2], [-1/4194304, -1/4194304]]]], [[4, 4, 4, 1, 4], [v = -1, u = -2^(1/2), x =
-1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[4,
4, 4, 1, 5], [v = -1, u = -2^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1, -1], [-2, -\
2], [3, 3]]]], [[4, 5, 9, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,
x < 1), 0 < y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[4, 10, 6, 4, 1], [v = -1, u = 1, x
= 1, y = -1, z < 0], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-1, -1], [-1,
-1]]]], [[4, 10, 6, 4, 2], [v = -1, u = 1, x = 1, y = -1, z = 0], [
regular_chain, [[-1, -1], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[4, 10, 6, 4,
3], [v = -1, u = 1, x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [1, 1],
[1, 1], [-1, -1], [1, 1]]]], [[4, 12, 2, 4, 1], [v = -1, u = 2^(1/2), x = -2,
y = 2, z < 0], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-\
2, -2], [2, 2], [-1, -1]]]], [[4, 12, 2, 4, 2], [v = -1, u = 2^(1/2), x = -2,
y = 2, z = 0], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-\
2, -2], [2, 2], [0, 0]]]], [[4, 12, 2, 4, 3], [v = -1, u = 2^(1/2), x = -2, y
= 2, 0 < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-2,
-2], [2, 2], [1, 1]]]], [[5, 2, 7, 1, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/
2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-3/2, -3/2], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[5, 2, 7, 1, 2], [And(-\
1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-5, -5], [-\
1112183/524288, -2224365/1048576]]]], [[5, 2, 7, 1, 3], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-5, -5], [
0, 0]]]], [[5, 2, 7, 1, 4], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,
x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/
2], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[5, 2, 7, 1,
5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1/2, 1/2], [-5, -5]
, [4, 4]]]], [[5, 3, 11, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2]
, [-343151/262144, -343151/262144], [2, 2], [-805555/524288, -3222219/2097152]
, [0, 0]]]], [[5, 11, 9, 7, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < 0), z = z],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1534619/
2097152, 1534619/2097152], [-281267/2097152, -281267/2097152], [0, 0]]]], [[5,
13, 3, 3, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [3, 3], [-43/8, -43/8], [-35/16, -35/16], [-4, -4]]]], [[5, 13, 3, 3, 2],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^
2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [
-43/8, -43/8], [-35/16, -35/16], [-11/4, -11/4]]]], [[5, 13, 3, 3, 3], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1
/2], [3, 3], [-43/8, -43/8], [-35/16, -35/16], [0, 0]]]], [[5, 13, 3, 3, 4], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2
-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-\
43/8, -43/8], [-35/16, -35/16], [11/4, 11/4]]]], [[5, 13, 3, 3, 5], [And(-1 <
v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,
y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/
8], [-35/16, -35/16], [4, 4]]]], [[6, 5, 7, 9, 1], [v = 0, And(-1 < u,u < 0),
And(u^2-1 < x,x < 0), -x < y, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [
-3/8, -3/8], [2, 2], [0, 0]]]], [[6, 7, 5, 1, 1], [v = 0, And(0 < u,u < 1), 
And(-1 < x,x < u^2-1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [1/2, 1/2], [-7/8, -7/8], [-2, -2], [-3, -3]]]], [[6, 7, 5, 1, 2], [v = 0,
And(0 < u,u < 1), And(-1 < x,x < u^2-1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-2, -2], [-3555895/2097152,
-1777947/1048576]]]], [[6, 7, 5, 1, 3], [v = 0, And(0 < u,u < 1), And(-1 < x,x
< u^2-1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-2, -2], [0, 0]]]], [[6, 7,
5, 1, 4], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y < -u^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-2, -2], [
1777947/1048576, 444487/262144]]]], [[6, 7, 5, 1, 5], [v = 0, And(0 < u,u < 1)
, And(-1 < x,x < u^2-1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0,
0], [1/2, 1/2], [-7/8, -7/8], [-2, -2], [3, 3]]]], [[6, 11, 7, 8, 1], [v = 0,
2^(1/2) < u, And(0 < x,x < 1), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [
3, 3], [1/2, 1/2], [15/2, 15/2], [0, 0]]]], [[7, 1, 10, 2, 1], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-35/2, -35/2], [-5,
-5]]]], [[7, 1, 10, 2, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-\
1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3
, -3], [31/4, 31/4], [-35/2, -35/2], [-1637089/524288, -3274177/1048576]]]], [
[7, 1, 10, 2, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2
*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-35/2, -35/2], [0, 0]]]], [[7, 1, 10,
2, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [
-35/2, -35/2], [3274177/1048576, 1637089/524288]]]], [[7, 1, 10, 2, 5], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-35/2, -35/2]
, [5, 5]]]], [[7, 7, 9, 8, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(0 < x
,x < 1), y = 0, z = z], [regular_chain, [[1/2, 1/2], [0, 0], [1/2, 1/2], [0, 0
], [0, 0]]]], [[7, 9, 6, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)
), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [2, 2]
, [0, 0]]]], [[7, 11, 3, 6, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576]
, [1815885/1048576, 1815885/1048576], [-1, -1]]]], [[7, 11, 3, 6, 2], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[-1815885/1048576, -1815885/1048576], [1815885/1048576, 1815885/1048576], [0,
0]]]], [[7, 11, 3, 6, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1/2, 1/
2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [
1815885/1048576, 1815885/1048576], [1, 1]]]], [[7, 12, 5, 5, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [1/4, 1/4], [-2, -\
2]]]], [[7, 12, 5, 5, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[7, 12, 5, 5, 3], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2,
-1/2], [1/4, 1/4], [0, 0]]]], [[7, 12, 5, 5, 4], [And(0 < v,v < 1), u = (v^2+2
)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]
], [[7, 12, 5, 5, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2],
[-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[8, 5, 2, 1, 1], [v = 1, And(-2^(1/2) <
u,u < -1), x = -u^2, y < 0, z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [-1, -\
1], [-3, -3]]]], [[8, 5, 2, 1, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2,
y < 0, z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [-1, -1], [-410915/
262144, -3287319/2097152]]]], [[8, 5, 2, 1, 3], [v = 1, And(-2^(1/2) < u,u < -\
1), x = -u^2, y < 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-1, -1], [-1/4194304, -1/4194304]]]], [[8, 5, 2, 1,
4], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y < 0, z = (u^2-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [-1, -1], [1643659/1048576, 410915/262144]]]], [[8,
5, 2, 1, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -u^2, y < 0, (u^2-y)^(1/2)
< z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1527887
/1048576, -763943/524288], [-1, -1], [3, 3]]]], [[8, 6, 5, 3, 1], [v = 1, u =
-1, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [-1, -1], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[8, 6, 5, 3, 2], [v =
1, u = -1, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-1, -1], [-1482911/2097152, -\
741455/1048576]]]], [[8, 6, 5, 3, 3], [v = 1, u = -1, And(0 < x,x < 1), And(-1
-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1,
1], [-1, -1], [1/2, 1/2], [-1, -1], [0, 0]]]], [[8, 6, 5, 3, 4], [v = 1, u = -\
1, And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[1, 1], [-1, -1], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [[8
, 6, 5, 3, 5], [v = 1, u = -1, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-1, -1], [2, 2]]]]
, [[8, 11, 5, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), 
And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-1437931/
4194304, -1437931/4194304], [-3, -3]]]], [[8, 11, 5, 3, 2], [v = 1, And(1 < u,
u < 2^(1/2)), And(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-1437931/4194304, -1437931/4194304], [-553435/
524288, -1106869/1048576]]]], [[8, 11, 5, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)
), And(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/4194304], [0,
0]]]], [[8, 11, 5, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2
), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743
/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-1437931/
4194304, -1437931/4194304], [1106869/1048576, 553435/524288]]]], [[8, 11, 5, 3
, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(-u^2-x < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/
4194304], [3, 3]]]], [[8, 12, 9, 2, 1], [v = 1, u = 2^(1/2), 1 < x, y = -x-2,
z < -2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2,
2], [-4, -4], [-3, -3]]]], [[8, 12, 9, 2, 2], [v = 1, u = 2^(1/2), 1 < x, y =
-x-2, z = -2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576]
, [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[8, 12, 9, 2, 3],
[v = 1, u = 2^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-4, -4], [0
, 0]]]], [[8, 12, 9, 2, 4], [v = 1, u = 2^(1/2), 1 < x, y = -x-2, z = 2^(1/2)]
, [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-4, -4],
[741455/524288, 1482911/1048576]]]], [[8, 12, 9, 2, 5], [v = 1, u = 2^(1/2), 1
< x, y = -x-2, 2^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [3, 3]]]], [[9, 3, 3, 9, 1], [And(1 < v,v < 2^(1/2
)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^
2-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [4
, 4], [0, 0]]]], [[9, 4, 7, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2)
, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-1/2, -1/2], [-1,
-1]]]], [[9, 4, 7, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 <
x,x < 1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-410915/262144, -3287319/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9,
4, 7, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y
= -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 12, 3, 1,
1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576,
1265743/1048576], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[9, 12, 3, 1, 2], [And
(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[9,
12, 3, 1, 3], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y < -1-x, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-2, -2],
[0, 0]]]], [[9, 12, 3, 1, 4], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0
), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-2, -2], [207243/
131072, 1657945/1048576]]]], [[9, 12, 3, 1, 5], [And(1 < v,v < 2^(1/2)), u = v
, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [
-2, -2], [3, 3]]]], [[9, 13, 10, 3, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [1, 1], [-8388607/4194304, -8388607/4194304], [-2, -2]]]], [[9, 13,
10, 3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-
u^2+v^2-2 < y,y < u^2-v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-\
8388607/4194304, -8388607/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[9, 13, 10, 3, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [1, 1], [-8388607/4194304, -8388607/4194304
], [-3670015/8796093022208, -3670015/8796093022208]]]], [[9, 13, 10, 3, 4], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 <
y,y < u^2-v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-8388607/
4194304, -8388607/4194304], [1048575/1048576, 1]]]], [[9, 13, 10, 3, 5], [And(
1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [1, 1], [-8388607/4194304, -\
8388607/4194304], [2, 2]]]], [[10, 2, 4, 6, 1], [v = 2^(1/2), u = -2, x = -1,
y = 1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-\
1, -1], [1, 1], [-1, -1]]]], [[10, 2, 4, 6, 2], [v = 2^(1/2), u = -2, x = -1,
y = 1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-\
1, -1], [1, 1], [0, 0]]]], [[10, 2, 4, 6, 3], [v = 2^(1/2), u = -2, x = -1, y
= 1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1,
-1], [1, 1], [1, 1]]]], [[10, 3, 8, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/
2)), x = u^2-3, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144
], [1, 1], [0, 0]]]], [[10, 8, 5, 2, 1], [v = 2^(1/2), u = -1, And(-1 < x,x <
0), y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[10, 8, 5, 2, 2], [v = 2
^(1/2), u = -1, And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[10, 8, 5, 2, 3], [v = 2^(1/2), u = -1,
And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [0, 0]
]]], [[10, 8, 5, 2, 4], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), y = -x-2, z =
2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2,
-1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[10, 8, 5, 2, 5], [
v = 2^(1/2), u = -1, And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [-3/2, -3/2], [3,
3]]]], [[10, 9, 10, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, y = -1, z <
0], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [
-1, -1], [-1, -1]]]], [[10, 9, 10, 4, 2], [v = 2^(1/2), And(-1 < u,u < 0), x =
1, y = -1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -\
1/2], [1, 1], [-1, -1], [0, 0]]]], [[10, 9, 10, 4, 3], [v = 2^(1/2), And(-1 <
u,u < 0), x = 1, y = -1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [1, 1], [-1, -1], [1, 1]]]], [[10, 15, 10, 5, 1], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(u^2-4 < y,y < -1), z < -(-y-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [1, 1], [-1323961/1048576, -1323961/1048576], [-2, -2]]]], [
[10, 15, 10, 5, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(u^2-4 < y
,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [1, 1], [-1323961/1048576, -1323961/
1048576], [-268683/524288, -1074731/2097152]]]], [[10, 15, 10, 5, 3], [v = 2^(
1/2), And(v < u,u < 3^(1/2)), x = 1, And(u^2-4 < y,y < -1), And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1, 1], [-1323961/1048576, -1323961/1048576
], [-1/4194304, -1/4194304]]]], [[10, 15, 10, 5, 4], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = 1, And(u^2-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1],
[-1323961/1048576, -1323961/1048576], [537365/1048576, 268683/524288]]]], [[10
, 15, 10, 5, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, And(u^2-4 < y,y
< -1), (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [1, 1], [-1323961/1048576, -1323961/1048576
], [2, 2]]]], [[10, 17, 5, 4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1
< x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]
], [[10, 17, 5, 4, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[10, 17, 5, 4, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2
, -1/2], [0, 0], [0, 0]]]], [[10, 17, 5, 4, 4], [v = 2^(1/2), And(3^(1/2) < u,
u < 2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [0
, 0], [741455/1048576, 46341/65536]]]], [[10, 17, 5, 4, 5], [v = 2^(1/2), And(
3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2,
-1/2], [0, 0], [2, 2]]]], [[10, 18, 9, 5, 1], [v = 2^(1/2), u = 2, 1 < x, And(
-x < y,y < 1-x), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2
, 2], [2, 2], [-3/2, -3/2], [0, 0]]]], [[11, 1, 2, 4, 1], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[3, 3],
[-5, -5], [-17, -17], [17, 17], [-1, -1]]]], [[11, 1, 2, 4, 2], [2^(1/2) < v,
u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[3
, 3], [-5, -5], [-17, -17], [17, 17], [0, 0]]]], [[11, 1, 2, 4, 3], [2^(1/2) <
v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain,
[[3, 3], [-5, -5], [-17, -17], [17, 17], [1, 1]]]], [[11, 7, 2, 3, 1], [2^(1/2
) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v
^2), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [133001/262144, 133001/
262144], [-3, -3]]]], [[11, 7, 2, 3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = -(-u^2+v^2-y+1)^(1/2)
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [133001/262144, 133001/262144], [-1048577/1048576, -\
1]]]], [[11, 7, 2, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^
2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+
v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-3161161/2097152, -395145/262144], [133001/262144, 133001/262144], [0, 0]]
]], [[11, 7, 2, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v
^2-1, And(0 < y,y < -2*u^2+2*v^2), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/
262144], [133001/262144, 133001/262144], [1, 1048577/1048576]]]], [[11, 7, 2,
3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,
y < -2*u^2+2*v^2), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [
133001/262144, 133001/262144], [3, 3]]]], [[11, 8, 5, 3, 1], [2^(1/2) < v, u =
-(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
-3/4, -3/4], [-3, -3]]]], [[11, 8, 5, 3, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2),
And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-3/4, -3/4], [-\
146543/131072, -1172343/1048576]]]], [[11, 8, 5, 3, 3], [2^(1/2) < v, u = -(v^
2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304]
, [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[11, 8, 5, 3, 4], [2^(1/2) < v, u =
-(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[11, 8, 5, 3, 5], [2^(1/2)
< v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -\
1/2], [-3/4, -3/4], [3, 3]]]], [[11, 12, 7, 6, 1], [2^(1/2) < v, u = (v^2-2)^(
1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 13, 11, 7, 1], [2^(
1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 <
y,y < 0), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [
2, 2], [-1564115/2097152, -1564115/2097152], [0, 0]]]], [[11, 20, 2, 4, 1], [2
^(1/2) < v, u = (v^2+2)^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [-3, -3], [3, 3], [-1, -1]]]], [[11, 20, 2,
4, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, y = 3, z = 0], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [3, 3], [0, 0]]]], [[11,
20, 2, 4, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, y = 3, 0 < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [3, 3], [
1, 1]]]], [[11, 21, 6, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, And(0 <
y,y < u^2-v^2-1), z = z], [regular_chain, [[3, 3], [5, 5], [0, 0], [15/2, 15/2
], [0, 0]]]], [[1, 4, 3, 7, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), And(-2 < x,
x < -1), -x < y, z = z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243
/65536], [-3/2, -3/2], [3, 3], [0, 0]]]], [[1, 5, 9, 8, 1], [v < -2^(1/2), And
(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [1/2, 1/2], [0, 0], [0, 0]]]], [[1
, 11, 9, 3, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(
1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-19/2, -19/2], [-4, -4]]]], [[1
, 11, 9, 3, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(
1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [-19/2, -19/2], [-146543/65536,
-2344687/1048576]]]], [[1, 11, 9, 3, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [
9/2, 9/2], [-19/2, -19/2], [0, 0]]]], [[1, 11, 9, 3, 4], [v < -2^(1/2), And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-\
1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2
], [-19/2, -19/2], [2344687/1048576, 146543/65536]]]], [[1, 11, 9, 3, 5], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1)
, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
0, 0], [9/2, 9/2], [-19/2, -19/2], [4, 4]]]], [[1, 13, 3, 1, 1], [v < -2^(1/2)
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2
-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [-2, -2], [-3, -3]]]], [[1,
13, 3, 1, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2
-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-2,
-2], [-8126751/4194304, -32507003/16777216]]]], [[1, 13, 3, 1, 3], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u
^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-2, -2
], [-11/33554432, -11/33554432]]]], [[1, 13, 3, 1, 4], [v < -2^(1/2), And((v^2
-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [-919691/524288, -919691/524288], [-2, -2], [2031687/1048576, 253961/131072]
]]], [[1, 13, 3, 1, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)
), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-2, -2], [3, 3]]]], [[1, 17, 9, 2, 1], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2],
[-267551651/134217728, -133775825/67108864], [-3, -3]]]], [[1, 17, 9, 2, 2], [
v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-\
1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1/2, 1/2], [-267551651/134217728, -133775825/67108864], [-1281417/
1048576, -160177/131072]]]], [[1, 17, 9, 2, 3], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1/2, 1/2], [-267551651/134217728, -133775825/67108864], [0, 0]]]], [
[1, 17, 9, 2, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x <
1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [1/2, 1/2], [-267551651/134217728, -133775825/
67108864], [160177/131072, 1281417/1048576]]]], [[1, 17, 9, 2, 5], [v < -2^(1/
2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1
/2, 1/2], [-267551651/134217728, -133775825/67108864], [3, 3]]]], [[1, 19, 4,
5, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0
< y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[1, 19, 4, 5, 2], [v < -
2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), z
= -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 19, 4, 5,
3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y
,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 19, 4
, 5, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(
0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[1,
19, 4, 5, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 3, 7, 6, 1],
[v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = 0, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [0, 0], [0, 0]]]], [[2, 5,
3, 2, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y =
-u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [-31113/131072, -248903/1048576], [-3, -3]]]], [[2, 5, 3, 2, 2], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z =
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-\
31113/131072, -248903/1048576], [-636691/524288, -1273381/1048576]]]], [[2, 5,
3, 2, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y =
-u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [-31113/131072, -248903/1048576], [0, 0]]]
], [[2, 5, 3, 2, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x
< -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [-31113/131072, -248903/1048576], [1273381/1048576, 636691/
524288]]]], [[2, 5, 3, 2, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2
+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [-31113/131072, -248903/1048576], [3, 3]]]], [[2,
7, 1, 1, 1], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y < 0, z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[2, 7, 1, 1, 2], [v = -2^
(1/2), And(v < u,u < -1), x < u^2-3, y < 0, z = -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
-3, -3], [-1, -1], [-2, -2]]]], [[2, 7, 1, 1, 3], [v = -2^(1/2), And(v < u,u <
-1), x < u^2-3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[2, 7, 1, 1, 4], [v = -2^(1/
2), And(v < u,u < -1), x < u^2-3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3,
-3], [-1, -1], [2, 2]]]], [[2, 7, 1, 1, 5], [v = -2^(1/2), And(v < u,u < -1),
x < u^2-3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [3,
3]]]], [[2, 8, 4, 3, 1], [v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-1, -1], [-1/2, -1/2], [-3, -3]]]], [[2, 8, 4, 3, 2], [v = -2^(1/2), u = -1,
x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [-1/2, -1/2], [-1284239/1048576,
-642119/524288]]]], [[2, 8, 4, 3, 3], [v = -2^(1/2), u = -1, x = -1, And(-1 <
y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[2, 8,
4, 3, 4], [v = -2^(1/2), u = -1, x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-1/2
, -1/2], [642119/524288, 1284239/1048576]]]], [[2, 8, 4, 3, 5], [v = -2^(1/2),
u = -1, x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-1/2, -1/2], [3, 3]]]],
[[2, 14, 1, 5, 1], [v = -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [-2, -2], [3/2, 3/2], [-2, -2]]]], [[2, 14, 1, 5, 2]
, [v = -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[2, 
14, 1, 5, 3], [v = -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-2, -2], [3/2, 3/2], [0, 0]]]], [[
2, 14, 1, 5, 4], [v = -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[
2, 14, 1, 5, 5], [v = -2^(1/2), u = -v, x < -1, And(-1-x < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [-2, -2], [3/2, 3/2], [2, 2]]]], [[2, 15, 9, 8, 1], [v = -
2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 1, 1, 2, 1], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [0
, 0], [-5, -5]]]], [[3, 1, 1, 2, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(
1/2), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [0, 0], [-3315889/1048576, -\
207243/65536]]]], [[3, 1, 1, 2, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1
/2), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [0
, 0], [0, 0]]]], [[3, 1, 1, 2, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/
2), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3, -3], [-10, -10], [0, 0], [207243/65536, 3315889/
1048576]]]], [[3, 1, 1, 2, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10, -10], [0, 0], [5, 5]]]], [[3, 2, 3, 7, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y
< 1-x), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-2, -2], [5/2, 5/2], [0, 0]]]], [[3, 8, 4
, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y < -1, z < -(
1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-1, -1], [-2, -2], [-3, -3]]]], [[3, 8, 4, 1, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [
[3, 8, 4, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = -1, y < -1
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-2, -2], [-1
/4194304, -1/4194304]]]], [[3, 8, 4, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v
^2-1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1, -1], [-2,
-2], [908093/524288, 1816187/1048576]]]], [[3, 8, 4, 1, 5], [And(-2^(1/2) < v,
v < -1), u = -(v^2-1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-1
, -1], [-2, -2], [3, 3]]]], [[3, 9, 9, 9, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), 0 < y, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/
2097152, 1527887/2097152], [1, 1], [0, 0]]]], [[3, 17, 4, 2, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-4, -4]]]], [[3, 17, 4, 2, 2], [And(-2^(
1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1],
[-15818595/2097152, -7909297/1048576], [-1532401/524288, -24518415/8388608]]]]
, [[3, 17, 4, 2, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y =
-u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [-15818595/2097152, -\
7909297/1048576], [-7/16777216, -7/16777216]]]], [[3, 17, 4, 2, 4], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [
-15818595/2097152, -7909297/1048576], [3064801/1048576, 1532401/524288]]]], [[
3, 17, 4, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y = -u^
2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1, -1], [-15818595/2097152, -7909297/1048576], [4, 4]]]],
[[4, 1, 6, 5, 1], [v = -1, u < -3^(1/2), x = 0, And(0 < y,y < u^2-2), z = z],
[regular_chain, [[-1, -1], [-3, -3], [0, 0], [7/2, 7/2], [0, 0]]]], [[4, 7, 5,
9, 1], [v = -1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), -x < y, z = z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-5/8, -5/8], [2, 2], [0, 0]]]], [[4,
9, 1, 5, 1], [v = -1, And(0 < u,u < 1), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [2, 2],
[-2, -2]]]], [[4, 9, 1, 5, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, And(u^2-x
-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2],
[-3, -3], [2, 2], [-1, -1]]]], [[4, 9, 1, 5, 3], [v = -1, And(0 < u,u < 1), x
< u^2-2, And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [2, 2], [0, 0]]]], [[4, 9,
1, 5, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [2, 2], [1,
1]]]], [[4, 9, 1, 5, 5], [v = -1, And(0 < u,u < 1), x < u^2-2, And(u^2-x-2 < y
,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -\
3], [2, 2], [2, 2]]]], [[4, 13, 7, 8, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), And(0 < x,x < u^2-2), y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [248903/
1048576, 31113/131072], [0, 0]]]], [[4, 15, 1, 4, 1], [v = -1, 3^(1/2) < u, x
< -u^2, y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [1
, 1], [-4, -4]]]], [[4, 15, 1, 4, 2], [v = -1, 3^(1/2) < u, x < -u^2, y = -u^2
-x, z = -u], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [1, 1], [-3, -3]]]
], [[4, 15, 1, 4, 3], [v = -1, 3^(1/2) < u, x < -u^2, y = -u^2-x, And(-u < z,z
< u)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [1, 1], [0, 0]]]], [[4,
15, 1, 4, 4], [v = -1, 3^(1/2) < u, x < -u^2, y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [3, 3], [-10, -10], [1, 1], [3, 3]]]], [[4, 15, 1, 4
, 5], [v = -1, 3^(1/2) < u, x < -u^2, y = -u^2-x, u < z], [regular_chain, [[-1
, -1], [3, 3], [-10, -10], [1, 1], [4, 4]]]], [[5, 5, 6, 1, 1], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u
^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [-624419/1048576, -1248837/2097152], [-2, -2], [-3, -3]]]], [[5, 5,
6, 1, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y
< -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-2,
-2], [-52791/32768, -3378623/2097152]]]], [[5, 5, 6, 1, 3], [And(-1 < v,v < 0)
, And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v
^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-2,
-2], [-1/4194304, -1/4194304]]]], [[5, 5, 6, 1, 4], [And(-1 < v,v < 0), And(-(
v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-2, -2], [1689311/1048576, 52791/32768]]]]
, [[5, 5, 6, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2
-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152
], [-2, -2], [3, 3]]]], [[5, 7, 3, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v
), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [0, 0], [-9/8, -9/8], [0, 0], [-3, -3]]]], [[5, 7, 3, 4, 2], [And(-1 <
v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)
], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [0, 0], [-1112183/
1048576, -556091/524288]]]], [[5, 7, 3, 4, 3], [And(-1 < v,v < 0), And(v < u,u
< -v), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [0, 0], [0, 0]]]], [[5, 7
, 3, 4, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1),
y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [
0, 0], [556091/524288, 1112183/1048576]]]], [[5, 7, 3, 4, 5], [And(-1 < v,v <
0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [0, 0], [3, 3]]]], [[5, 9,
1, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [2, 2], [-2, -2]]]],
[[5, 9, 1, 5, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+
v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [2
, 2], [-1, -1]]]], [[5, 9, 1, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1
)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [-3, -3], [2, 2], [0, 0]]]], [[5, 9, 1, 5, 4], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y <
u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [2, 2], [1, 1]]]], [[5, 9, 1, 5, 5], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-\
1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [2, 2], [2, 2]]]], [[5, 10, 4, 7,
1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, 1 < y, z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [2,
2], [0, 0]]]], [[6, 2, 8, 7, 1], [v = 0, u = -2^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [1, 1], [0
, 0]]]], [[6, 4, 2, 5, 1], [v = 0, u = -1, x = -2, 2 < y, z = z], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [3, 3], [0, 0]]]], [[6, 9, 1, 6, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y = -x, z < 0], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [4, 4], [-1, -1]]]], [[
6, 9, 1, 6, 2], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y = -x, z = 0], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [4, 4],
[0, 0]]]], [[6, 9, 1, 6, 3], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y = -
x, 0 < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -\
4], [4, 4], [1, 1]]]], [[6, 10, 4, 2, 1], [v = 0, u = 2^(1/2), x = -1, y = -2,
z < -3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1,
-1], [-2, -2], [-3, -3]]]], [[6, 10, 4, 2, 2], [v = 0, u = 2^(1/2), x = -1, y
= -2, z = -3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576]
, [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[6, 10, 4, 2,
3], [v = 0, u = 2^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-1, -1], [-2, -2],
[-1/4194304, -1/4194304]]]], [[6, 10, 4, 2, 4], [v = 0, u = 2^(1/2), x = -1, y
= -2, z = 3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576],
[-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[6, 10, 4, 2, 5], [v
= 0, u = 2^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[7, 4, 8, 6,
1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [0, 0]
, [0, 0]]]], [[7, 6, 3, 1, 1], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y
< -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2,
-1/2], [-2, -2], [-3, -3]]]], [[7, 6, 3, 1, 2], [And(0 < v,v < 1), u = -v, And
(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1
/2, -1/2], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[7,
6, 3, 1, 3], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y < -1-x, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-\
1/2, -1/2], [-2, -2], [0, 0]]]], [[7, 6, 3, 1, 4], [And(0 < v,v < 1), u = -v,
And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
-1/2, -1/2], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[7,
6, 3, 1, 5], [And(0 < v,v < 1), u = -v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1/2, -1/2], [-2, -2], [
3, 3]]]], [[7, 13, 9, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x
< u^2-v^2-1), y = 0, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8]
, [0, 0], [0, 0]]]], [[8, 1, 11, 7, 1], [v = 1, u < -3^(1/2), u^2-2 < x, And(u
^2-x-2 < y,y < 0), z = z], [regular_chain, [[1, 1], [-3, -3], [8, 8], [-1/2, -\
1/2], [0, 0]]]], [[8, 7, 11, 8, 1], [v = 1, And(-1 < u,u < 0), 1 < x, y = 0, z
= z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[8, 9
, 6, 7, 1], [v = 1, And(0 < u,u < 1), x = -u^2, u^2 < y, z = z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [2, 2], [0, 0]]]], [[8, 14,
2, 3, 1], [v = 1, u = 3^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [3/2, 3/2]
, [-3, -3]]]], [[8, 14, 2, 3, 2], [v = 1, u = 3^(1/2), x = -3, And(0 < y,y < 3
), z = -(3-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576
], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[8, 14, 2, 3,
3], [v = 1, u = 3^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3
-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -\
3], [3/2, 3/2], [0, 0]]]], [[8, 14, 2, 3, 4], [v = 1, u = 3^(1/2), x = -3, And
(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [
[8, 14, 2, 3, 5], [v = 1, u = 3^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) <
z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [3/2,
3/2], [3, 3]]]], [[8, 15, 6, 4, 1], [v = 1, 3^(1/2) < u, x = 0, y = 0, z < 0],
[regular_chain, [[1, 1], [3, 3], [0, 0], [0, 0], [-1, -1]]]], [[8, 15, 6, 4, 2
], [v = 1, 3^(1/2) < u, x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [3, 3],
[0, 0], [0, 0], [0, 0]]]], [[8, 15, 6, 4, 3], [v = 1, 3^(1/2) < u, x = 0, y =
0, 0 < z], [regular_chain, [[1, 1], [3, 3], [0, 0], [0, 0], [1, 1]]]], [[9, 5,
11, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, 0 <
y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [1, 1], [0, 0]]]], [[9, 7, 8, 6, 1], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [0, 0], [-1, -1]]]], [[9, 7, 8, 6, 2], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [0, 0], [0, 0]]]], [[9, 7, 8, 6, 3], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
0, 0], [0, 0], [1, 1]]]], [[9, 9, 5, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2
-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[9, 9, 5, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [0,
0], [-1482911/2097152, -741455/1048576]]]], [[9, 9, 5, 4, 3], [And(1 < v,v < 2
^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 9, 5, 4, 4], [
And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,
x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[9,
9, 5, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0], [2, 2]]]], [[9, 10, 9
, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[9, 10, 9, 3,
2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469
/524288, 708939/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[9, 10, 9, 3, 3], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [354469/524288, 708939/1048576], [2, 2], [-3, -3], [0, 0]]]], [[9,
10, 9, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [354469/524288, 708939/1048576], [2, 2], [-3, -3], [1, 1]]]], [[9, 10, 9, 3
, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [-3, -3], [2, 2]]]], [[9, 16, 9, 6, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y = 1-x, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[10, 1, 2, 5, 1], [v = 2^(1/2), u < -2
, x = -u^2+1, And(u^2-1 < y,y < 2*u^2-4), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-8, -8], [11, 11], [0, 0]]]], [[10, 5, 5,
5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(0 <
y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [248903/2097152, 248903/2097152], [-2, -2]]]], [[10, 5, 5, 5, 2], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-
x-3), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [
248903/2097152, 248903/2097152], [-26295/32768, -3365759/4194304]]]], [[10, 5,
5, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(0
< y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [248903/2097152, 248903/2097152], [-3/
8388608, -3/8388608]]]], [[10, 5, 5, 5, 4], [v = 2^(1/2), And(-3^(1/2) < u,u <
-v), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [248903/2097152, 248903/2097152]
, [841439/1048576, 26295/32768]]]], [[10, 5, 5, 5, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), (-x-y)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [248903/2097152, 248903/
2097152], [2, 2]]]], [[10, 7, 2, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), x =
u^2-3, y = 0, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/
1048576], [0, 0], [-3, -3]]]], [[10, 7, 2, 2, 2], [v = 2^(1/2), And(-v < u,u <
-1), x = u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [0, 0], [-1302471/1048576, -651235/524288]]]], [[10, 7, 2, 2
, 3], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, y = 0, And(-(-u^2+3)^(1/2)
< z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [0,
0], [0, 0]]]], [[10, 7, 2, 2, 4], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3,
y = 0, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [0
, 0], [651235/524288, 1302471/1048576]]]], [[10, 7, 2, 2, 5], [v = 2^(1/2), 
And(-v < u,u < -1), x = u^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [0, 0], [3, 3]]]], [[10, 12, 9, 5, 1], [v
= 2^(1/2), u = 1, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1, 1], [2, 2], [-1, -1], [0, 0]]]], [[10, 14, 3, 3,
1], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[10, 14, 3, 3, 2],
[v = 2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]],
[[10, 14, 3, 3, 3], [v = 2^(1/2), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/4, -1/4]
, [-1/8388608, -1/8388608]]]], [[10, 14, 3, 3, 4], [v = 2^(1/2), u = v, And(-1
< x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/
4, -1/4], [908093/1048576, 454047/524288]]]], [[10, 14, 3, 3, 5], [v = 2^(1/2)
, u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[11, 2, 4, 5, 1], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [1/2, 1
/2], [-2, -2]]]], [[11, 2, 4, 5, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1,
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288
, -3477733/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]
]]], [[11, 2, 4, 5, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y
< 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11, 2, 4
, 5, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)
^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1
], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[11, 2, 4, 5, 5], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [1/2, 1
/2], [2, 2]]]], [[11, 3, 8, 6, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [0, 0], [
0, 0]]]], [[11, 9, 10, 5, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x = 1, And(-1 < y,y < -u^2+v^2-2), z = z], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [1, 1], [-1564117/2097152, -1564117/
2097152], [0, 0]]]], [[11, 11, 3, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain,
[[3, 3], [0, 0], [-11/2, -11/2], [11/2, 11/2], [-1, -1]]]], [[11, 11, 3, 6, 2]
, [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = -x, z = 0], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [11/2,
11/2], [0, 0]]]], [[11, 11, 3, 6, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3
, 3], [0, 0], [-11/2, -11/2], [11/2, 11/2], [1, 1]]]], [[11, 15, 6, 6, 1], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-129143/262144
, -516571/1048576], [516571/1048576, 129143/262144], [-1, -1]]]], [[11, 15, 6,
6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = u^2-v^2
+1, z = 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
129143/262144, -516571/1048576], [516571/1048576, 129143/262144], [0, 0]]]], [
[11, 15, 6, 6, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1,
y = u^2-v^2+1, 0 < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [516571/1048576, 129143/262144],
[1, 1]]]], [[11, 17, 3, 5, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [-2, -2]]]], [[11, 17, 3,
5, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [388037/
1048576, 388037/1048576], [-1963551/2097152, -7854203/8388608]]]], [[11, 17, 3
, 5, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [-3/16777216, -3/16777216]
]]], [[11, 17, 3, 5, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [981775/1048576, 61361/
65536]]]], [[11, 17, 3, 5, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [2, 2]]]], [[1, 4, 4, 7, 1
], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [
[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [2, 2], [0, 0]]]], [[1,
5, 10, 2, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^
2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [-3, -3]]]], [[1,
5, 10, 2, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^
2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [-1281417/1048576,
-160177/131072]]]], [[1, 5, 10, 2, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-\
326817/131072, -2614535/1048576], [0, 0]]]], [[1, 5, 10, 2, 4], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-326817/
131072, -2614535/1048576], [160177/131072, 1281417/1048576]]]], [[1, 5, 10, 2,
5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072]
, [1, 1], [-326817/131072, -2614535/1048576], [3, 3]]]], [[1, 11, 9, 8, 1], [v
< -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v^2-\
1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [
7/2, 7/2], [0, 0]]]], [[1, 13, 3, 2, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
919691/524288, -919691/524288], [-3163225/4194304, -395403/524288], [-3, -3]]]
], [[1, 13, 3, 2, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-3163225/4194304, -395403/524288], [-3321417/2097152, -415177
/262144]]]], [[1, 13, 3, 2, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [-3163225/4194304, -395403/
524288], [0, 0]]]], [[1, 13, 3, 2, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691
/524288, -919691/524288], [-3163225/4194304, -395403/524288], [415177/262144,
1660709/1048576]]]], [[1, 13, 3, 2, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/
2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691
/524288, -919691/524288], [-3163225/4194304, -395403/524288], [3, 3]]]], [[1,
17, 9, 9, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1),
0 < y, z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2
, 1/2], [1, 1], [0, 0]]]], [[1, 19, 4, 8, 1], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[-3, -3]
, [3396811/1048576, 3396811/1048576], [-1, -1], [391655/262144, 1566621/
1048576], [0, 0]]]], [[2, 3, 8, 2, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
1048576, 126367/262144], [-49729379/16777216, -24864689/8388608], [-3, -3]]]],
[[2, 3, 8, 2, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y = -2*u
^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-\
49729379/16777216, -24864689/8388608], [-825991/524288, -3303963/2097152]]]],
[[2, 3, 8, 2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y = -2*u
^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [505467/
1048576, 126367/262144], [-49729379/16777216, -24864689/8388608], [-1/4194304,
-1/4194304]]]], [[2, 3, 8, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x =
u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/
262144], [-49729379/16777216, -24864689/8388608], [1651981/1048576, 825991/
524288]]]], [[2, 3, 8, 2, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2
-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/
262144], [-49729379/16777216, -24864689/8388608], [3, 3]]]], [[2, 5, 3, 3, 1],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(-u^2-x+1 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [-248903/2097152, -248903/2097152], [-3, -3]]]], [[2, 5, 3, 3, 2], [
v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(-u^2-x+1 <
y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [-248903/2097152, -248903/2097152], [-1221067/1048576, -610533/
524288]]]], [[2, 5, 3, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2
+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-248903/2097152, -\
248903/2097152], [0, 0]]]], [[2, 5, 3, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [-248903/2097152, -\
248903/2097152], [610533/524288, 1221067/1048576]]]], [[2, 5, 3, 3, 5], [v = -
2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [-\
248903/2097152, -248903/2097152], [3, 3]]]], [[2, 6, 7, 7, 1], [v = -2^(1/2),
u = v, 1 < x, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1482911/1048576, -741455/524288], [2, 2], [1, 1], [0, 0]]]], [[2, 8
, 3, 5, 1], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[2, 8, 3, 5, 2], [v = -2^(1/2), u = -1
, And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [3/4, 3/4], [-\
1816187/2097152, -3632373/4194304]]]], [[2, 8, 3, 5, 3], [v = -2^(1/2), u = -1
, And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/
2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[2, 8, 3, 5, 4], [v = -2^(1/2),
u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [3
/4, 3/4], [908093/1048576, 454047/524288]]]], [[2, 8, 3, 5, 5], [v = -2^(1/2),
u = -1, And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [3
/4, 3/4], [2, 2]]]], [[2, 14, 1, 2, 1], [v = -2^(1/2), u = -v, x < -1, y = 0,
z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455
/524288, 1482911/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[2, 14, 1, 2, 2], [
v = -2^(1/2), u = -v, x < -1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[0, 0], [-1482911/1048576, -741455/524288]]]], [[2, 14, 1, 2, 3], [v = -2^(1/2
), u = -v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2,
-2], [0, 0], [0, 0]]]], [[2, 14, 1, 2, 4], [v = -2^(1/2), u = -v, x < -1, y =
0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/
1048576]]]], [[2, 14, 1, 2, 5], [v = -2^(1/2), u = -v, x < -1, y = 0, (-x)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288,
1482911/1048576], [-2, -2], [0, 0], [3, 3]]]], [[2, 15, 9, 1, 1], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[2, 15, 9, 1, 2], [v = -
2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]],
[[2, 15, 9, 1, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y
< -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/
2], [-3, -3], [0, 0]]]], [[2, 15, 9, 1, 4], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), And(0 < x,x < 1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/
2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[2, 15, 9, 1, 5], [v = -2^
(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [1/2, 1/2], [-3, -3], [3, 3]]]], [[3, 1, 1, 1, 1], [And(-2^(
1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10]
, [-1, -1], [-5, -5]]]], [[3, 1, 1, 1, 2], [And(-2^(1/2) < v,v < -1), u < -(v^
2+2)^(1/2), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [-1, -1], [-1738867/
524288, -3477733/1048576]]]], [[3, 1, 1, 1, 3], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10]
, [-1, -1], [0, 0]]]], [[3, 1, 1, 1, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+
2)^(1/2), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3, -3], [-10, -10], [-1, -1], [3477733/1048576,
1738867/524288]]]], [[3, 1, 1, 1, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^
(1/2), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [-1, -1], [5, 5]]]], [[3, 2,
3, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y
= -x-3, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-2, -2], [-1, -1], [-3, -3]]]], [[3, 2,
3, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y
= -x-3, z = -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 2, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[3, 2, 3,
2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y =
-x-3, z = 3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[3, 2, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [
-1, -1], [3, 3]]]], [[3, 8, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^
(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[3, 8, 3, 5, 2], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/4, 3/4], [-1816187/
2097152, -3632373/4194304]]]], [[3, 8, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u
= -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/
8388608]]]], [[3, 8, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2,
-3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[3, 8, 3, 5, 5], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[3, 9
, 9, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2
)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-3340407/1048576, -1670203/524288], [-3, -3]]]], [[3, 9,
9, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2))
, And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-3340407/1048576, -1670203/524288], [-410915/262144, -\
3287319/2097152]]]], [[3, 9, 9, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-\
3340407/1048576, -1670203/524288], [-1/4194304, -1/4194304]]]], [[3, 9, 9, 2,
4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(
-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-3340407/1048576, -1670203/524288], [1643659/1048576, 
410915/262144]]]], [[3, 9, 9, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(
1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, (-u^2
+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [1527887/2097152, 1527887/2097152], [-3340407/1048576, -1670203/524288], [
3, 3]]]], [[3, 17, 4, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x =
-1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [-1, -1], [8957873/2097152, 8957873/2097152], [0, 0]
]]], [[4, 1, 6, 6, 1], [v = -1, u < -3^(1/2), x = 0, y = u^2-2, z = z], [
regular_chain, [[-1, -1], [-3, -3], [0, 0], [7, 7], [0, 0]]]], [[4, 7, 6, 7, 1
], [v = -1, And(-1 < u,u < 0), x = -u^2, u^2 < y, z = z], [regular_chain, [[-1
, -1], [-1/2, -1/2], [-1/4, -1/4], [2, 2], [0, 0]]]], [[4, 9, 1, 8, 1], [v = -\
1, And(0 < u,u < 1), x < u^2-2, y = -x, z < 0], [regular_chain, [[-1, -1], [1/
2, 1/2], [-3, -3], [3, 3], [-1, -1]]]], [[4, 9, 1, 8, 2], [v = -1, And(0 < u,u
< 1), x < u^2-2, y = -x, z = 0], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -\
3], [3, 3], [0, 0]]]], [[4, 9, 1, 8, 3], [v = -1, And(0 < u,u < 1), x < u^2-2,
y = -x, 0 < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [3, 3], [1, 1
]]]], [[4, 13, 8, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y =
-u^2+2, z < 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[497805/1048576, 248903/524288], [-248903/524288, -497805/1048576], [-1, -1]]]
], [[4, 13, 8, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -u
^2+2, z = 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
497805/1048576, 248903/524288], [-248903/524288, -497805/1048576], [0, 0]]]],
[[4, 13, 8, 4, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -u^2+
2, 0 < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
497805/1048576, 248903/524288], [-248903/524288, -497805/1048576], [1, 1]]]],
[[4, 15, 1, 5, 1], [v = -1, 3^(1/2) < u, x < -u^2, And(-u^2-x < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [11/2, 11/2], [
-4, -4]]]], [[4, 15, 1, 5, 2], [v = -1, 3^(1/2) < u, x < -u^2, And(-u^2-x < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [
11/2, 11/2], [-1112183/524288, -2224365/1048576]]]], [[4, 15, 1, 5, 3], [v = -\
1, 3^(1/2) < u, x < -u^2, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [11/2, 11/2], [0,
0]]]], [[4, 15, 1, 5, 4], [v = -1, 3^(1/2) < u, x < -u^2, And(-u^2-x < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [11/2, 
11/2], [2224365/1048576, 1112183/524288]]]], [[4, 15, 1, 5, 5], [v = -1, 3^(1/
2) < u, x < -u^2, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[-1, -1], [3, 3], [-10, -10], [11/2, 11/2], [4, 4]]]], [[5, 5, 7, 1, 1], [And(
-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u
^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [-\
3, -3]]]], [[5, 5, 7, 1, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v)
, And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-3, -3], [-7616729/4194304, -952091/524288]]]], [
[5, 5, 7, 1, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^
2-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-3, -3], [0, 0]]]], [[5, 5, 7, 1, 4], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2
-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [952091/
524288, 1904183/1048576]]]], [[5, 5, 7, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-3, -3], [3, 3]]]], [[5, 7, 3, 7, 1], [
And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-
x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
9/8, -9/8], [3/4, 3/4], [-2, -2]]]], [[5, 7, 3, 7, 2], [And(-1 < v,v < 0), And
(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/4, 3/4]
, [-1284239/2097152, -642119/1048576]]]], [[5, 7, 3, 7, 3], [And(-1 < v,v < 0)
, And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0
], [-9/8, -9/8], [3/4, 3/4], [0, 0]]]], [[5, 7, 3, 7, 4], [And(-1 < v,v < 0),
And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/4, 3/
4], [642119/1048576, 80265/131072]]]], [[5, 7, 3, 7, 5], [And(-1 < v,v < 0), 
And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/4, 3/
4], [2, 2]]]], [[5, 9, 1, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1
/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[5, 9, 1,
2, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y =
0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[5, 9, 1
, 2, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]
]], [[5, 9, 1, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -
u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]
]], [[5, 9, 1, 2, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -
u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [0, 0], [3, 3]]]], [[5, 10, 3, 7, 1], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-3/2, -3/2],
[3, 3], [0, 0]]]], [[6, 2, 8, 6, 1], [v = 0, u = -2^(1/2), x = 1, y = 0, z = z
], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [0, 0]
, [0, 0]]]], [[6, 4, 1, 7, 1], [v = 0, u = -1, x < -2, -x < y, z = z], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [4, 4], [0, 0]]]], [[6, 9, 1, 3, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(0 < y,y < -u^2-x-1), z < -(
-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4
, -4], [1617841/2097152, 1617841/2097152], [-3, -3]]]], [[6, 9, 1, 3, 2], [v =
0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(0 < y,y < -u^2-x-1), z = -(-x-y)^(1
/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [
1617841/2097152, 1617841/2097152], [-471025/262144, -7536399/4194304]]]], [[6,
9, 1, 3, 3], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, And(0 < y,y < -u^2-x-\
1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-4, -4], [1617841/2097152, 1617841/2097152
], [-3/8388608, -3/8388608]]]], [[6, 9, 1, 3, 4], [v = 0, And(1 < u,u < 2^(1/2
)), x < -u^2-1, And(0 < y,y < -u^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[
0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1617841/2097152, 1617841
/2097152], [1884099/1048576, 471025/262144]]]], [[6, 9, 1, 3, 5], [v = 0, And(
1 < u,u < 2^(1/2)), x < -u^2-1, And(0 < y,y < -u^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1617841
/2097152, 1617841/2097152], [3, 3]]]], [[6, 10, 3, 4, 1], [v = 0, u = 2^(1/2),
And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[6, 10, 3, 4, 2], [v
= 0, u = 2^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [-1482911/1048576
, -741455/524288]]]], [[6, 10, 3, 4, 3], [v = 0, u = 2^(1/2), And(-3 < x,x < -\
1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [-2, -2], [0, 0], [0, 0]]]], [[6, 10, 3, 4, 4
], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[6, 10, 3, 4, 5], [v = 0, u = 2^(1/2), 
And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [-2, -2], [0, 0], [3, 3]]]], [[7, 4, 8, 5, 1], [And(
0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [-1/2,
-1/2], [0, 0]]]], [[7, 6, 2, 1, 1], [And(0 < v,v < 1), u = -v, x = -1, y < 0,
z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [-1, -\
1], [-3, -3]]]], [[7, 6, 2, 1, 2], [And(0 < v,v < 1), u = -v, x = -1, y < 0, z
= -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [-1, -1]
, [-1482911/1048576, -741455/524288]]]], [[7, 6, 2, 1, 3], [And(0 < v,v < 1),
u = -v, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [-1, -1], [-1, -1], [0, 0]]]], [[7, 6, 2, 1, 4], [
And(0 < v,v < 1), u = -v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [-1/2, -1/2], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]
], [[7, 6, 2, 1, 5], [And(0 < v,v < 1), u = -v, x = -1, y < 0, (1-y)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [-1, -1], [3, 3]]]], [
[7, 13, 9, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-\
1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8]
, [5, 5], [0, 0]]]], [[8, 2, 1, 5, 1], [v = 1, u = -3^(1/2), x < -3, And(-x-3
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[8, 2, 1, 5, 2], [v = 1,
u = -3^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [5/2, 5/2], [-\
1284239/1048576, -642119/524288]]]], [[8, 2, 1, 5, 3], [v = 1, u = -3^(1/2), x
< -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [5/2,
5/2], [0, 0]]]], [[8, 2, 1, 5, 4], [v = 1, u = -3^(1/2), x < -3, And(-x-3 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [
[8, 2, 1, 5, 5], [v = 1, u = -3^(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4,
-4], [5/2, 5/2], [3, 3]]]], [[8, 7, 11, 9, 1], [v = 1, And(-1 < u,u < 0), 1 <
x, 0 < y, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [2, 2], [1, 1], [0, 0
]]]], [[8, 9, 7, 5, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(-u^
2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8
, -1/8], [-1/16, -1/16], [-2, -2]]]], [[8, 9, 7, 5, 2], [v = 1, And(0 < u,u <
1), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [-454047/
1048576, -227023/524288]]]], [[8, 9, 7, 5, 3], [v = 1, And(0 < u,u < 1), And(-
u^2 < x,x < 0), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [0, 0]]]
], [[8, 9, 7, 5, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(-u^2-x
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/
8], [-1/16, -1/16], [227023/524288, 454047/1048576]]]], [[8, 9, 7, 5, 5], [v =
1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-1/16, -1/16], [2, 2
]]]], [[8, 14, 2, 6, 1], [v = 1, u = 3^(1/2), x = -3, y = 4, z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [4, 4], [0
, 0]]]], [[8, 15, 7, 4, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = -x, z <
0], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[
8, 15, 7, 4, 2], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[8, 15,
7, 4, 3], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 6, 1
, 1, 1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[9, 6, 1, 1, 2], [And(1 <
v,v < 2^(1/2)), u = -v, x < -1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[9, 6, 1, 1, 3], [And
(1 < v,v < 2^(1/2)), u = -v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576
, -1265743/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[9, 6,
1, 1, 4], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[9
, 6, 1, 1, 5], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y < 0, (-x-y)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[9, 7, 9, 4, 1], [And(1 < v,
v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x
-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-7797271/8388608,
-3898635/4194304], [-2, -2]]]], [[9, 7, 9, 4, 2], [And(1 < v,v < 2^(1/2)), And
(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [-7797271/8388608, -3898635/4194304],
[-1374407/2097152, -687203/1048576]]]], [[9, 7, 9, 4, 3], [And(1 < v,v < 2^(1/
2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [
-7797271/8388608, -3898635/4194304], [0, 0]]]], [[9, 7, 9, 4, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-7797271/8388608, -3898635/
4194304], [687203/1048576, 171801/262144]]]], [[9, 7, 9, 4, 5], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-7797271/8388608, -3898635/
4194304], [2, 2]]]], [[9, 9, 4, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(
1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [763943/524288, 1527887/
1048576], [0, 0]]]], [[9, 10, 9, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-4, -4], [-3, -3]]
]], [[9, 10, 9, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y =
-x-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [-4, -4], [-1482911/1048576, -741455/
524288]]]], [[9, 10, 9, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 <
x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-4, -4], [0, 0]]
]], [[9, 10, 9, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y =
-x-2, z = 2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [-4, -4], [741455/524288, 1482911/
1048576]]]], [[9, 10, 9, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1
< x, y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [2, 2], [-4, -4], [3, 3]]]], [[9, 
16, 8, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, y = 0, z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1, 1], [0, 0], [0, 0]]]], [[10, 1, 2, 2, 1], [v = 2^(1/2), u < -2,
x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [-8, -8], [0, 0], [-4, -4]]]], [[10, 1, 2, 2, 2],
[v = 2^(1/2), u < -2, x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [0, 0], [-2965821/
1048576, -11863283/4194304]]]], [[10, 1, 2, 2, 3], [v = 2^(1/2), u < -2, x = -
u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [0, 0], [-3/8388608, -3/
8388608]]]], [[10, 1, 2, 2, 4], [v = 2^(1/2), u < -2, x = -u^2+1, y = 0, z = (
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-\
8, -8], [0, 0], [741455/262144, 2965821/1048576]]]], [[10, 1, 2, 2, 5], [v = 2
^(1/2), u < -2, x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [0, 0], [4, 4]]]], [[10,
5, 4, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, 1 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [2, 2], [0, 0]]]], [[10, 7, 2, 1, 1], [v = 2^(1/2), And(-v
< u,u < -1), x = u^2-3, y < 0, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [-1, -1], [-3, -3]]]], [[10, 7, 2, 1, 2],
[v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, y < 0, z = -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [-1672107/1048576, -\
3344213/2097152]]]], [[10, 7, 2, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), x =
u^2-3, y < 0, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[
10, 7, 2, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), x = u^2-3, y < 0, z = (-u^2
-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [
836053/524288, 1672107/1048576]]]], [[10, 7, 2, 1, 5], [v = 2^(1/2), And(-v <
u,u < -1), x = u^2-3, y < 0, (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3235683/
2097152, -1617841/1048576], [-1, -1], [3, 3]]]], [[10, 12, 8, 5, 1], [v = 2^(1
/2), u = 1, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [1, 1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[10, 14, 2, 5, 1],
[v = 2^(1/2), u = v, x = -1, 1 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [2, 2], [0, 0]]]
], [[11, 2, 4, 6, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y = 1, z < 0],
[regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [1, 1]
, [-1, -1]]]], [[11, 2, 4, 6, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, y
= 1, z = 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1
, -1], [1, 1], [0, 0]]]], [[11, 2, 4, 6, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2),
x = -1, y = 1, 0 < z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-1, -1], [1, 1], [1, 1]]]], [[11, 3, 9, 4, 1], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z < 0]
, [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-1566621/2097152, -1566621/2097152], [-1, -1]]]],
[[11, 3, 9, 4, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), y = -x, z = 0], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-1566621/
2097152, -1566621/2097152], [0, 0]]]], [[11, 3, 9, 4, 3], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, 0 < z]
, [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-1566621/2097152, -1566621/2097152], [1, 1]]]], [[
11, 9, 10, 8, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= 1, y = 0, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [0, 0], [0, 0]]]], [[11, 11, 4, 4, 1], [2^(1/2) < v, And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[
3, 3], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[11, 11, 4, 4, 2], [2^(1/2) < v
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = 0, z = -1], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[11, 11, 4, 4,
3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [0, 0], [0, 0]]
]], [[11, 11, 4, 4, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [0, 0], [-1, -1], [0, 0], [
1, 1]]]], [[11, 11, 4, 4, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)
^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [0, 0], [-1, -1], [0,
0], [2, 2]]]], [[11, 15, 6, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [2, 2], [0, 0]]]
], [[11, 17, 4, 1, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, y <
-u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-1, -1], [-2, -2], [-3, -3]]]], [[11, 17, 4, 1, 2], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [-2, -2], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 17, 4, 1, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [-2
, -2], [-1/4194304, -1/4194304]]]], [[11, 17, 4, 1, 4], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[11, 17, 4, 1, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1, -1], [-2, -2], [3, 3]]]], [[1, 1, 7, 9, 1]
, [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2-x-1 < y, z = z]
, [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [16, 16], [0, 0]]]], [[1, 3
, 1, 1, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^
2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[1, 3, 1, 1, 2],
[v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y <
0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[1, 3, 1,
1, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2
-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [-4, -4], [-1, -1], [0, 0]]]], [[1, 3,
1, 1, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+
v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[1
, 3, 1, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x <
-u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [-1, -1], [4, 4]]]], [[1, 9, 2, 7, 1], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, -2*u^
2+2*v^2 < y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [5, 5], [0, 0]]]], [[1, 10, 4, 8
, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, y = 2, z = z], [regular_chain
, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [2, 2], [0, 0]]]]
, [[1, 14, 7, 6, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = 0
, z = z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1
/2], [0, 0], [0, 0]]]], [[1, 16, 1, 2, 1], [v < -2^(1/2), u = -v, x < -1, y =
0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [-3,
-3]]]], [[1, 16, 1, 2, 2], [v < -2^(1/2), u = -v, x < -1, y = 0, z = -(-x)^(1/
2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[1, 16, 1, 2, 3], [v < -2^(1/2), u = -v, x < -1, y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [-2,
-2], [0, 0], [0, 0]]]], [[1, 16, 1, 2, 4], [v < -2^(1/2), u = -v, x < -1, y =
0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[1, 16, 1, 2, 5], [v < -2^(1/2), u = -v,
x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [
0, 0], [3, 3]]]], [[2, 1, 1, 1, 1], [v = -2^(1/2), u < -2, x < -u^2+1, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [-9, -9], [-1, -1], [-5, -5]]]], [[2, 1, 1, 1, 2], [v = -2^(1/2), u < -2,
x < -u^2+1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9, -9], [-1, -1], [-3315889/1048576, -207243/65536
]]]], [[2, 1, 1, 1, 3], [v = -2^(1/2), u < -2, x < -u^2+1, y < 0, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [-1, -1], [0, 0]]]], [[2, 1, 1, 1, 4], [v = -2^(1
/2), u < -2, x < -u^2+1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-9, -9], [-1, -1], [207243/65536, 3315889
/1048576]]]], [[2, 1, 1, 1, 5], [v = -2^(1/2), u < -2, x < -u^2+1, y < 0, (-x-
y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-9, -9], [-1, -1], [5, 5]]]], [[2, 2, 3, 2, 1], [v = -2^(1/2), u = -2, And(-3
< x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-2, -2], [-1, -1], [-3, -3]]]], [[2, 2, 3, 2, 2], [
v = -2^(1/2), u = -2, And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [-1, -\
1], [-1816187/1048576, -3632373/2097152]]]], [[2, 2, 3, 2, 3], [v = -2^(1/2),
u = -2, And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [-1, -\
1], [-1/4194304, -1/4194304]]]], [[2, 2, 3, 2, 4], [v = -2^(1/2), u = -2, And(
-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]
]]], [[2, 2, 3, 2, 5], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y = -x-3, 3^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2
, -2], [-1, -1], [3, 3]]]], [[2, 9, 10, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0
), x = 1, y < u^2-4, z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [-5, -5], [-3, -3]]]], [[2, 9, 10, 1, 2]
, [v = -2^(1/2), And(-1 < u,u < 0), x = 1, y < u^2-4, z = -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [-5,
-5], [-2, -2]]]], [[2, 9, 10, 1, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = 1,
y < u^2-4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [1, 1], [-5, -5], [0, 0]]]], [
[2, 9, 10, 1, 4], [v = -2^(1/2), And(-1 < u,u < 0), x = 1, y < u^2-4, z = (-y-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2],
[1, 1], [-5, -5], [2, 2]]]], [[2, 9, 10, 1, 5], [v = -2^(1/2), And(-1 < u,u <
0), x = 1, y < u^2-4, (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [1, 1], [-5, -5], [3, 3]]]], [[2, 11, 3, 2, 1],
[v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = u^2-x-3, z < -(-u^
2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-15/8, -15/8], [-7/8, -7/8], [-3, -3]]]], [[2, 11, 3, 2, 2], [v = -2^(1/2), 
And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [-7/8, -7/8], [-1738867/1048576, -3477733/2097152]]]], [[2, 11, 3, 2, 3], [v
= -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = u^2-x-3, And(-(-u^2+3
)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-15/8, -15/8], [-7/8, -7/8], [-1/4194304, -1/4194304]]]]
, [[2, 11, 3, 2, 4], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y
= u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-15/8, -15/8], [-7/8, -7/8], [869433/524288, 1738867/
1048576]]]], [[2, 11, 3, 2, 5], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x
,x < -1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [-7/8, -7/8], [3, 3]]]], [[2, 
17, 4, 8, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = u^2-2, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-1, -1], [1554043/1048576, 388511/262144], [0, 0]]]], [[2,
18, 6, 7, 1], [v = -2^(1/2), u = 2, x = 0, 1 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [0, 0], [2, 2], [0, 0]]]], [[3, 3, 8
, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [-12404333/4194304, -49617331/16777216], [-3,
-3]]]], [[3, 3, 8, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-12404333/4194304, -\
49617331/16777216], [-3301741/2097152, -825435/524288]]]], [[3, 3, 8, 2, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-
v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-12404333/4194304, -\
49617331/16777216], [0, 0]]]], [[3, 3, 8, 2, 4], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
12404333/4194304, -49617331/16777216], [825435/524288, 1650871/1048576]]]], [[
3, 3, 8, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-12404333/4194304, -\
49617331/16777216], [3, 3]]]], [[3, 5, 3, 3, 1], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [-122559/1048576, -122559/1048576], [-3, -3]]]], [[3, 5, 3, 3, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [-122559/1048576, -122559/1048576], [-609313/
524288, -1218625/1048576]]]], [[3, 5, 3, 3, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y
< 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [-122559/1048576, -122559/1048576], [0, 0]]]], [[3, 5
, 3, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2
+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-122559/1048576, -122559/
1048576], [1218625/1048576, 609313/524288]]]], [[3, 5, 3, 3, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u
^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [-122559/1048576, -122559/1048576], [3, 3]]]], [[3, 11, 4, 9,
1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, 1 < y, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-1, -1], [2, 2], [0, 0]]]], [[3, 13, 1, 6, 1], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3, -3], [2587387/1048576, 646847/262144]
, [-2, -2]]]], [[3, 13, 1, 6, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v
^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [2587387/1048576, 646847/262144], [-765155/1048576
, -1530309/2097152]]]], [[3, 13, 1, 6, 3], [And(-2^(1/2) < v,v < -1), And(-v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [2587387/1048576, 
646847/262144], [-1/4194304, -1/4194304]]]], [[3, 13, 1, 6, 4], [And(-2^(1/2)
< v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3, -3], [2587387/1048576, 646847/262144]
, [382577/524288, 765155/1048576]]]], [[3, 13, 1, 6, 5], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2
+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3, -3], [2587387/1048576, 646847/262144],
[2, 2]]]], [[3, 14, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -\
1/2], [1/4, 1/4], [-2, -2]]]], [[3, 14, 5, 5, 2], [And(-2^(1/2) < v,v < -1), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[3, 14, 5, 5, 3], [And(-
2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/4, 1/4],
[0, 0]]]], [[3, 14, 5, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -\
1/2], [1/4, 1/4], [1/2, 1/2]]]], [[3, 14, 5, 5, 5], [And(-2^(1/2) < v,v < -1),
u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3, 15, 10, 7, 1], [And(-2^(1/
2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(u^2-v^2-2
< y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [-1093221/4194304, -1093221/4194304], [
0, 0]]]], [[4, 4, 3, 7, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), -x < y,
z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2,
-3/2], [3, 3], [0, 0]]]], [[4, 5, 9, 4, 1], [v = -1, And(-2^(1/2) < u,u < -1),
And(0 < x,x < 1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/
1048576], [-2, -2]]]], [[4, 5, 9, 4, 2], [v = -1, And(-2^(1/2) < u,u < -1), 
And(0 < x,x < 1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/
1048576], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 9, 4, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = u^2-x-2, And(-(-u^2+2)^(1/2) <
z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743
/1048576], [1/2, 1/2], [-546777/524288, -1093553/1048576], [-1/4194304, -1/
4194304]]]], [[4, 5, 9, 4, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x
< 1), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/1048576], [
193151/262144, 772605/1048576]]]], [[4, 5, 9, 4, 5], [v = -1, And(-2^(1/2) < u
,u < -1), And(0 < x,x < 1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-546777/524288,
-1093553/1048576], [2, 2]]]], [[4, 10, 6, 1, 1], [v = -1, u = 1, x = 1, y < -2
, z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3, -3], [-3
, -3]]]], [[4, 10, 6, 1, 2], [v = -1, u = 1, x = 1, y < -2, z = -(-y-1)^(1/2)]
, [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[4, 10, 6, 1, 3], [v = -1, u = 1, x = 1, y < -2, And(-(-y-\
1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-\
3, -3], [0, 0]]]], [[4, 10, 6, 1, 4], [v = -1, u = 1, x = 1, y < -2, z = (-y-1
)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3, -3], [741455/524288,
1482911/1048576]]]], [[4, 10, 6, 1, 5], [v = -1, u = 1, x = 1, y < -2, (-y-1)^
(1/2) < z], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-3, -3], [3, 3]]]], [[
4, 12, 1, 4, 1], [v = -1, u = 2^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1],
[-3, -3]]]], [[4, 12, 1, 4, 2], [v = -1, u = 2^(1/2), x < -2, y = -x-2, z = -2
^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3]
, [1, 1], [-1482911/1048576, -741455/524288]]]], [[4, 12, 1, 4, 3], [v = -1, u
= 2^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1], [0, 0]]]], [[4,
12, 1, 4, 4], [v = -1, u = 2^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1],
[741455/524288, 1482911/1048576]]]], [[4, 12, 1, 4, 5], [v = -1, u = 2^(1/2),
x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [3, 3]]]], [[5, 2, 6, 7, 1], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [0, 0], [2, 2], [0, 0]]]], [[5, 3, 11, 1, 1], [And(-1 < v,v < 0)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[2, 2], [-6, -6], [-3, -3]]]], [[5, 3, 11, 1, 2], [And(-1 < v,v < 0), And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [-\
6, -6], [-2, -2]]]], [[5, 3, 11, 1, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[2, 2], [-6, -6], [0, 0]]]], [[5, 3, 11, 1, 4], [And(-1 < v,v < 0), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [-6,
-6], [2, 2]]]], [[5, 3, 11, 1, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [-6, -\
6], [3, 3]]]], [[5, 11, 10, 3, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [-\
2340173/1048576, -2340173/1048576], [-3, -3]]]], [[5, 11, 10, 3, 2], [And(-1 <
v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,
y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576], [-1163761/
1048576, -72735/65536]]]], [[5, 11, 10, 3, 3], [And(-1 < v,v < 0), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^
(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576], [0, 0]]]], [[5,
11, 10, 3, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [1, 1], [-2340173/1048576, -2340173/
1048576], [72735/65536, 1163761/1048576]]]], [[5, 11, 10, 3, 5], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y <
-1), (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [1, 1], [-2340173/1048576, -2340173/1048576], [3, 3]]]], [[5, 13, 3,
4, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y =
0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [0
, 0], [-4, -4]]]], [[5, 13, 3, 4, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, 
And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [3, 3], [-43/8, -43/8], [0, 0], [-151939/65536, -2431023/1048576]]]], [[
5, 13, 3, 4, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x <
-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2
], [3, 3], [-43/8, -43/8], [0, 0], [0, 0]]]], [[5, 13, 3, 4, 4], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [0, 0], [2431023/1048576
, 151939/65536]]]], [[5, 13, 3, 4, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [3, 3], [-43/8, -43/8], [0, 0], [4, 4]]]], [[6, 5, 8, 7, 1], [v = 0, And(
-1 < u,u < 0), x = 0, 0 < y, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [0
, 0], [1, 1], [0, 0]]]], [[6, 7, 5, 4, 1], [v = 0, And(0 < u,u < 1), And(-1 <
x,x < u^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-\
7/8, -7/8], [0, 0], [-2, -2]]]], [[6, 7, 5, 4, 2], [v = 0, And(0 < u,u < 1), 
And(-1 < x,x < u^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [1/2,
1/2], [-7/8, -7/8], [0, 0], [-7846825/8388608, -980853/1048576]]]], [[6, 7, 5,
4, 3], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [0, 0
], [0, 0]]]], [[6, 7, 5, 4, 4], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1
), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8],
[0, 0], [980853/1048576, 490427/524288]]]], [[6, 7, 5, 4, 5], [v = 0, And(0 <
u,u < 1), And(-1 < x,x < u^2-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[0,
0], [1/2, 1/2], [-7/8, -7/8], [0, 0], [2, 2]]]], [[6, 11, 8, 4, 1], [v = 0, 2^
(1/2) < u, x = 1, y = -1, z < 0], [regular_chain, [[0, 0], [3, 3], [1, 1], [-1
, -1], [-1, -1]]]], [[6, 11, 8, 4, 2], [v = 0, 2^(1/2) < u, x = 1, y = -1, z =
0], [regular_chain, [[0, 0], [3, 3], [1, 1], [-1, -1], [0, 0]]]], [[6, 11, 8,
4, 3], [v = 0, 2^(1/2) < u, x = 1, y = -1, 0 < z], [regular_chain, [[0, 0], [3
, 3], [1, 1], [-1, -1], [1, 1]]]], [[7, 1, 10, 3, 1], [And(0 < v,v < 1), u < -
(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2
+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-101/8
, -101/8], [-4, -4]]]], [[7, 1, 10, 3, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/
2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-101/8, -101/8],
[-1157597/524288, -2315193/1048576]]]], [[7, 1, 10, 3, 3], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-
(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/
2], [-3, -3], [31/4, 31/4], [-101/8, -101/8], [0, 0]]]], [[7, 1, 10, 3, 4], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y <
-u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3],
[31/4, 31/4], [-101/8, -101/8], [2315193/1048576, 1157597/524288]]]], [[7, 1,
10, 3, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*
v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [-3, -3], [31/4, 31/4], [-101/8, -101/8], [4, 4]]]], [[7, 7, 10, 6, 1], [
And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = -1, z < 0], [regular_chain, [[
1/2, 1/2], [0, 0], [1, 1], [-1, -1], [-1, -1]]]], [[7, 7, 10, 6, 2], [And(0 <
v,v < 1), And(-v < u,u < v), x = 1, y = -1, z = 0], [regular_chain, [[1/2, 1/2
], [0, 0], [1, 1], [-1, -1], [0, 0]]]], [[7, 7, 10, 6, 3], [And(0 < v,v < 1),
And(-v < u,u < v), x = 1, y = -1, 0 < z], [regular_chain, [[1/2, 1/2], [0, 0],
[1, 1], [-1, -1], [1, 1]]]], [[7, 9, 7, 3, 1], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x
-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-736367/1048576, -\
736367/1048576], [-3, -3]]]], [[7, 9, 7, 3, 2], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x
-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-736367/1048576, -\
736367/1048576], [-1048577/1048576, -1]]]], [[7, 9, 7, 3, 3], [And(0 < v,v < 1
), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 <
y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-736367/1048576, -736367/1048576], [0, 0]]]], [[7, 9, 7, 3, 4], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(
-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304],
[-736367/1048576, -736367/1048576], [1, 1048577/1048576]]]], [[7, 9, 7, 3, 5],
[And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And
(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304]
, [-736367/1048576, -736367/1048576], [3, 3]]]], [[7, 11, 3, 1, 1], [And(0 < v
,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2], [-3, -\
3]]]], [[7, 11, 3, 1, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576,
-1815885/1048576], [-2, -2], [-8102461/4194304, -16204921/8388608]]]], [[7, 11
, 3, 1, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-
u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [-2, -2], [-1/16777216, -1/16777216]]]], [[7, 11,
3, 1, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^
2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576],
[-2, -2], [2025615/1048576, 126601/65536]]]], [[7, 11, 3, 1, 5], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
< -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2], [3, 3]]]], [
[7, 12, 5, 4, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y =
0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [0
, 0], [-2, -2]]]], [[7, 12, 5, 4, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[7, 12, 5
, 4, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-
(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/
2, -1/2], [0, 0], [0, 0]]]], [[7, 12, 5, 4, 4], [And(0 < v,v < 1), u = (v^2+2)
^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2]
, [3/2, 3/2], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[7, 12,
5, 4, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [0, 0], [2
, 2]]]], [[8, 5, 1, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(0 <
y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [-3, -3], [1617841/2097152, 1617841/2097152], [-3, -3]]]],
[[8, 5, 1, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(0 < y,y < -u
^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [1617841/2097152, 1617841/2097152], [-782675/
524288, -1565349/1048576]]]], [[8, 5, 1, 3, 3], [v = 1, And(-2^(1/2) < u,u < -\
1), x < -u^2, And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1617841/2097152, 1617841/2097152], [0, 0]]]], [[8, 5, 1, 3, 4], [v = 1, And(-2
^(1/2) < u,u < -1), x < -u^2, And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1617841/2097152, 1617841/2097152], [1565349/1048576, 782675/524288]]]], [[8, 5
, 1, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(0 < y,y < -u^2-x),
(-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3, -3], [1617841/2097152, 1617841/2097152], [3, 3]]]], [[8, 6, 4,
5, 1], [v = 1, u = -1, x = 0, 0 < y, z = z], [regular_chain, [[1, 1], [-1, -1]
, [0, 0], [1, 1], [0, 0]]]], [[8, 11, 4, 7, 1], [v = 1, And(1 < u,u < 2^(1/2))
, x = -1, And(u^2-1 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1, -1], [1527887/2097152, 1527887/2097152
], [-2, -2]]]], [[8, 11, 4, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And
(u^2-1 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1, -1], [1527887/2097152, 1527887/2097152], [-\
273157/524288, -1092627/2097152]]]], [[8, 11, 4, 7, 3], [v = 1, And(1 < u,u <
2^(1/2)), x = -1, And(u^2-1 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [
1527887/2097152, 1527887/2097152], [-1/4194304, -1/4194304]]]], [[8, 11, 4, 7,
4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(u^2-1 < y,y < 1), z = (1-y)^(1
/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [
1527887/2097152, 1527887/2097152], [546313/1048576, 273157/524288]]]], [[8, 11
, 4, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, And(u^2-1 < y,y < 1), (1-y
)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1
, -1], [1527887/2097152, 1527887/2097152], [2, 2]]]], [[8, 12, 9, 1, 1], [v =
1, u = 2^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[8, 12, 9, 1
, 2], [v = 1, u = 2^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[8, 12, 9, 1, 3], [v = 1, u = 2^(1/2), 1 < x,
y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]]
, [[8, 12, 9, 1, 4], [v = 1, u = 2^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [2, 2], [-5, -5], [
908093/524288, 1816187/1048576]]]], [[8, 12, 9, 1, 5], [v = 1, u = 2^(1/2), 1
< x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [2, 2], [-5, -5], [3, 3]]]], [[9, 3, 3, 2, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [-1550543/2097152, -775271/1048576], [-3, -3]]]],
[[9, 3, 3, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-1550543/2097152, -\
775271/1048576], [-3301741/2097152, -825435/524288]]]], [[9, 3, 3, 2, 3], [And
(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608
, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-1550543/2097152,
-775271/1048576], [0, 0]]]], [[9, 3, 3, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2
-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-1550543/2097152, -775271/1048576], [825435/524288, 1650871/1048576
]]]], [[9, 3, 3, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-3647693/2097152, -3647693/2097152], [-1550543/2097152, -\
775271/1048576], [3, 3]]]], [[9, 4, 7, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v
^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1/2,
1/2], [-4, -4], [-3, -3]]]], [[9, 4, 7, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1/2,
1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[9, 4, 7, 1, 3], [And(
1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-4, -4], [0, 0]]]],
[[9, 4, 7, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1
), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-4, -4], [980853/
524288, 1961707/1048576]]]], [[9, 4, 7, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(
v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [1/2,
1/2], [-4, -4], [3, 3]]]], [[9, 12, 3, 4, 1], [And(1 < v,v < 2^(1/2)), u = v,
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0, 0], [-\
2, -2]]]], [[9, 12, 3, 4, 2], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0
), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152
, -741455/1048576]]]], [[9, 12, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = v, And(
-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2,
-1/2], [0, 0], [0, 0]]]], [[9, 12, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = v, 
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[9, 12, 3, 4, 5], [And(1 < v,v < 2^(1/2)), u
= v, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [
0, 0], [2, 2]]]], [[9, 13, 11, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2],
[-5, -5], [-3, -3]]]], [[9, 13, 11, 1, 2], [And(1 < v,v < 2^(1/2)), And(v < u,
u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[9, 13,
11, 1, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y < -
u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [2, 2],
[-5, -5], [-1/4194304, -1/4194304]]]], [[9, 13, 11, 1, 4], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[9,
13, 11, 1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 1 < x, y
< -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [2, 2], [-5, -5], [3, 3]]]], [[
10, 2, 4, 7, 1], [v = 2^(1/2), u = -2, x = -1, And(1 < y,y < 2), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [3/2, 3/
2], [0, 0]]]], [[10, 3, 9, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(
u^2-3 < x,x < 1), And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [-1048577/2097152, -1048577/2097152], [0, 0]]]], [[10, 8, 5,
5, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -\
1/2], [1/4, 1/4], [-2, -2]]]], [[10, 8, 5, 5, 2], [v = 2^(1/2), u = -1, And(-1
< x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[10, 8, 5, 5, 3], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 8, 5, 5
, 4], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/
2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 8, 5, 5, 5], [v = 2^(1/2), u = -1, And(-1
< x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10,
9, 11, 2, 1], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y = u^2-x-3, z < -(-u^2+
3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2
, 2], [-19/4, -19/4], [-3, -3]]]], [[10, 9, 11, 2, 2], [v = 2^(1/2), And(-1 <
u,u < 0), 1 < x, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-19/4, -19/4], [-1738867/
1048576, -3477733/2097152]]]], [[10, 9, 11, 2, 3], [v = 2^(1/2), And(-1 < u,u
< 0), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-19/4
, -19/4], [-1/4194304, -1/4194304]]]], [[10, 9, 11, 2, 4], [v = 2^(1/2), And(-\
1 < u,u < 0), 1 < x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-19/4, -19/4], [869433
/524288, 1738867/1048576]]]], [[10, 9, 11, 2, 5], [v = 2^(1/2), And(-1 < u,u <
0), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [2, 2], [-19/4, -19/4], [3, 3]]]], [[10, 15, 
10, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [1, 1], [-1, -1], [-1, -1]]]], [[10, 15, 10, 6, 2], [v = 2^(1/2), 
And(v < u,u < 3^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [-1, -1], [0,
0]]]], [[10, 15, 10, 6, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1, y = -\
1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [1, 1], [-1, -1], [1, 1]]]], [[10, 17, 5, 9, 1], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), u^2-x-3 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [2, 2], [0, 0]]]], [[10, 18, 8, 5, 1], [v = 2^(1/2), u
= 2, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [2, 2], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 1, 2, 1, 1],
[2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1
/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [-1, -1], [-6, -6]]]], [[
11, 1, 2, 1, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z =
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [-1, -1]
, [-1112183/262144, -4448731/1048576]]]], [[11, 1, 2, 1, 3], [2^(1/2) < v, u <
-(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v
^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [-1, -1], [0,
0]]]], [[11, 1, 2, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y
< 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17],
[-1, -1], [4448731/1048576, 1112183/262144]]]], [[11, 1, 2, 1, 5], [2^(1/2) <
v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-17, -17], [-1, -1], [6, 6]]]], [[11, 7, 1,
7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v
^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [5774885/2097152, 5774885/2097152], [-2,
-2]]]], [[11, 7, 1, 7, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u
^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [5774885/2097152, 
5774885/2097152], [-16263/32768, -520415/1048576]]]], [[11, 7, 1, 7, 3], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [5774885/2097152, 5774885/
2097152], [0, 0]]]], [[11, 7, 1, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [
5774885/2097152, 5774885/2097152], [520415/1048576, 16263/32768]]]], [[11, 7,
1, 7, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^
2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [5774885/2097152, 5774885/2097152], [2,
2]]]], [[11, 8, 5, 2, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0),
y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [-2965821/1048576, -11863283
/4194304], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[11, 8, 5, 2, 2], [2^(1/2
) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[11, 8, 5, 2, 3], [2^(1/2
) < v, u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2
^(1/2))], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/
2, -1/2], [-3/2, -3/2], [0, 0]]]], [[11, 8, 5, 2, 4], [2^(1/2) < v, u = -(v^2-\
1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3],
[-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-3/2, -3/2], [741455/
524288, 1482911/1048576]]]], [[11, 8, 5, 2, 5], [2^(1/2) < v, u = -(v^2-1)^(1/
2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[
11, 12, 6, 6, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 0, y = 1, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [0, 0], [1, 1], [0, 0]]
]], [[11, 13, 11, 4, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)
), 1 < x, y = -x, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [2, 2], [-2, -2], [-1, -1]]]], [[11, 13, 11, 4, 2], [2^(1/2) < v, And
((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-2, -2], [0, 0]]]], [[11,
13, 11, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x,
y = -x, 0 < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2,
2], [-2, -2], [1, 1]]]], [[11, 20, 1, 8, 1], [2^(1/2) < v, u = (v^2+2)^(1/2),
x < -3, y = 1-x, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-4, -4], [5, 5], [0, 0]]]], [[11, 21, 6, 4, 1], [2^(1/2) < v, (v^2+2
)^(1/2) < u, x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [5, 5], [0, 0], [0
, 0], [-1, -1]]]], [[11, 21, 6, 4, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0,
y = 0, z = 0], [regular_chain, [[3, 3], [5, 5], [0, 0], [0, 0], [0, 0]]]], [[
11, 21, 6, 4, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, y = 0, 0 < z], [
regular_chain, [[3, 3], [5, 5], [0, 0], [0, 0], [1, 1]]]], [[1, 4, 4, 6, 1], [
v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-3,
-3], [-3315889/1048576, -207243/65536], [-1, -1], [1, 1], [-1, -1]]]], [[1, 4,
4, 6, 2], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [1, 1],
[0, 0]]]], [[1, 4, 4, 6, 3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y = 1,
0 < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1]
, [1, 1], [1, 1]]]], [[1, 5, 10, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,
u < v), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [1, 1], [-4, -4], [-3, -3]]]], [[1, 5, 10, 1
, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, z =
-(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[1, 5, 10, 1, 3], [
v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, And(-(-y-1
)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[1, 5, 10, 1,
4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, z = (
-y-1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1,
1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[1, 5, 10, 1, 5], [v < -2^
(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z]
, [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-4, -4
], [3, 3]]]], [[1, 11, 9, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), And(1 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z = z], [
regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [5, 5], [0, 0]]]], [[1, 13, 3, 3
, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-\
395403/1048576, -395403/1048576], [-3, -3]]]], [[1, 13, 3, 3, 2], [v < -2^(1/2
), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^
2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-919691/524288, -919691/524288], [-395403/1048576, -\
395403/1048576], [-765399/524288, -1530797/1048576]]]], [[1, 13, 3, 3, 3], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1
), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-395403/1048576, -395403/1048576], [0, 0]]]], [[1, 13, 3, 3,
4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x
,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-\
395403/1048576, -395403/1048576], [1530797/1048576, 765399/524288]]]], [[1, 13
, 3, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v
^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-395403/1048576, -395403/1048576], [3, 3]]]], [[1, 17, 9, 8,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = 0, z =
z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [0,
0], [0, 0]]]], [[1, 19, 4, 7, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = -1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[-3, -3]
, [3396811/1048576, 3396811/1048576], [-1, -1], [653799/524288, 653799/524288]
, [0, 0]]]], [[2, 3, 8, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^
2-3, And(-2*u^2+4 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/1048576, 126367/262144], [-28908433/16777216, -28908433/16777216], [-3,
-3]]]], [[2, 3, 8, 3, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3,
And(-2*u^2+4 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/1048576, 126367/262144], [-28908433/16777216, -28908433/16777216], [-\
4563/4096, -1168127/1048576]]]], [[2, 3, 8, 3, 3], [v = -2^(1/2), And(-2 < u,u
< -3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) <
z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-\
28908433/16777216, -28908433/16777216], [0, 0]]]], [[2, 3, 8, 3, 4], [v = -2^(
1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = (
-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-\
28908433/16777216, -28908433/16777216], [1168127/1048576, 4563/4096]]]], [[2,
3, 8, 3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(-2*u^2+4
< y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/
262144], [-28908433/16777216, -28908433/16777216], [3, 3]]]], [[2, 5, 3, 4, 1]
, [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = 0, z < -
(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [0, 0], [-3,
-3]]]], [[2, 5, 3, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 <
x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [0, 0], [-145801/131072, -1166407/1048576]]]], [[2, 5, 3, 4,
3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = 0, And
(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [0, 0], [0, 0]]]], [[2, 5, 3, 4, 4], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), And(-u^2+1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [0, 0], [1166407/1048576, 145801/131072]]]
], [[2, 5, 3, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x
< -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -1297479/
1048576], [0, 0], [3, 3]]]], [[2, 6, 7, 6, 1], [v = -2^(1/2), u = v, 1 < x, y
= 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/
1048576, -741455/524288], [2, 2], [0, 0], [0, 0]]]], [[2, 8, 3, 4, 1], [v = -2
^(1/2), u = -1, And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [0, 0], [-3, -3]]]
], [[2, 8, 3, 4, 2], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/
2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[2, 8, 3, 4, 3], [v
= -2^(1/2), u = -1, And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -\
3/2], [0, 0], [0, 0]]]], [[2, 8, 3, 4, 4], [v = -2^(1/2), u = -1, And(-2 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]],
[[2, 8, 3, 4, 5], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y = 0, (-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3
/2], [0, 0], [3, 3]]]], [[2, 14, 1, 3, 1], [v = -2^(1/2), u = -v, x < -1, And(
0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-3, -\
3]]]], [[2, 14, 1, 3, 2], [v = -2^(1/2), u = -v, x < -1, And(0 < y,y < -1-x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [-1284239/1048576, -\
642119/524288]]]], [[2, 14, 1, 3, 3], [v = -2^(1/2), u = -v, x < -1, And(0 < y
,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2, -2],
[1/2, 1/2], [0, 0]]]], [[2, 14, 1, 3, 4], [v = -2^(1/2), u = -v, x < -1, And(0
< y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [642119/
524288, 1284239/1048576]]]], [[2, 14, 1, 3, 5], [v = -2^(1/2), u = -v, x < -1,
And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [-2, -2], [1/2, 1/2], [3, 3]
]]], [[2, 15, 9, 2, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x <
1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-16565357/
8388608, -66261427/33554432], [-3, -3]]]], [[2, 15, 9, 2, 2], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [1/2, 1/2], [-16565357/8388608, -66261427/33554432], [-1273381/
1048576, -318345/262144]]]], [[2, 15, 9, 2, 3], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), And(0 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [1/2, 1/2], [-16565357/8388608, -66261427/33554432], [0, 0]]
]], [[2, 15, 9, 2, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1
), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-16565357/
8388608, -66261427/33554432], [318345/262144, 1273381/1048576]]]], [[2, 15, 9,
2, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = -u^2-x+1,
(u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [1/2, 1/2], [-16565357/8388608, -66261427/
33554432], [3, 3]]]], [[2, 19, 11, 9, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, 0 <
y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [7, 7]
, [1, 1], [0, 0]]]], [[3, 2, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2,
-2], [-2, -2], [-3, -3]]]], [[3, 2, 3, 1, 2], [And(-2^(1/2) < v,v < -1), u = -
(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [-2, -2], [-2, -2]]]], [[3, 2, 3, 1, 3], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-2, -2], [0, 0]]]],
[[3, 2, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x
< -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-2, -2], [2
, 2]]]], [[3, 2, 3, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(
-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-\
2, -2], [3, 3]]]], [[3, 8, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(
1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/2, 3/2
], [-1, -1]]]], [[3, 8, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2
), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/2, 3/2]
, [0, 0]]]], [[3, 8, 3, 6, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [3/2, 3/2]
, [1, 1]]]], [[3, 9, 9, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [1527887/2097152, 1527887/2097152], [-8208699/4194304, -8208699/4194304],
[-3, -3]]]], [[3, 9, 9, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [1527887/2097152, 1527887/2097152], [-8208699/4194304, -8208699/4194304],
[-1162243/1048576, -581121/524288]]]], [[3, 9, 9, 3, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And
(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-8208699/4194304, -8208699/4194304], [0, 0]]]], [[3, 9, 9
, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-8208699/4194304, -8208699/4194304], [581121/524288, 
1162243/1048576]]]], [[3, 9, 9, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-8208699/4194304, -\
8208699/4194304], [3, 3]]]], [[3, 17, 4, 8, 1], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, x = -1, y = u^2-v^2, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1, -1], [7909297/1048576, 3954649/524288
], [0, 0]]]], [[4, 1, 6, 7, 1], [v = -1, u < -3^(1/2), x = 0, u^2-2 < y, z = z
], [regular_chain, [[-1, -1], [-3, -3], [0, 0], [8, 8], [0, 0]]]], [[4, 7, 6,
6, 1], [v = -1, And(-1 < u,u < 0), x = -u^2, y = u^2, z < 0], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/4, 1/4], [-1, -1]]]], [[4, 7, 6, 6,
2], [v = -1, And(-1 < u,u < 0), x = -u^2, y = u^2, z = 0], [regular_chain, [[-\
1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/4, 1/4], [0, 0]]]], [[4, 7, 6, 6, 3], [
v = -1, And(-1 < u,u < 0), x = -u^2, y = u^2, 0 < z], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-1/4, -1/4], [1/4, 1/4], [1, 1]]]], [[4, 9, 1, 7, 1], [v = -\
1, And(0 < u,u < 1), x < u^2-2, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [23/8, 23/8], [-2, -2]]]], [[4
, 9, 1, 7, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, And(-u^2-x < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [23/8, 23/8
], [-46341/131072, -370727/1048576]]]], [[4, 9, 1, 7, 3], [v = -1, And(0 < u,u
< 1), x < u^2-2, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [23/8, 23/8], [0, 0]]]],
[[4, 9, 1, 7, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, And(-u^2-x < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [23/8, 
23/8], [370727/1048576, 46341/131072]]]], [[4, 9, 1, 7, 5], [v = -1, And(0 < u
,u < 1), x < u^2-2, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [1/2, 1/2], [-3, -3], [23/8, 23/8], [2, 2]]]], [[4, 13, 8, 5, 1], [
v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(-u^2+2 < y,y < 0), z = z]
, [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [-497805/2097152, -497805/2097152], [0, 0]]]], [[4, 
15, 1, 6, 1], [v = -1, 3^(1/2) < u, x < -u^2, y = -x, z < 0], [regular_chain,
[[-1, -1], [3, 3], [-10, -10], [10, 10], [-1, -1]]]], [[4, 15, 1, 6, 2], [v =
-1, 3^(1/2) < u, x < -u^2, y = -x, z = 0], [regular_chain, [[-1, -1], [3, 3],
[-10, -10], [10, 10], [0, 0]]]], [[4, 15, 1, 6, 3], [v = -1, 3^(1/2) < u, x <
-u^2, y = -x, 0 < z], [regular_chain, [[-1, -1], [3, 3], [-10, -10], [10, 10],
[1, 1]]]], [[5, 5, 6, 7, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v)
, x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [2, 2
], [0, 0]]]], [[5, 7, 3, 6, 1], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2
-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [0, 0], [-9/8, -9/8], [3/8, 3/8], [-2, -2]]]], [[5, 7, 3, 6, 2]
, [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v
^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8,
-9/8], [3/8, 3/8], [-1816187/2097152, -3632373/4194304]]]], [[5, 7, 3, 6, 3],
[And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2
-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1
/2, -1/2], [0, 0], [-9/8, -9/8], [3/8, 3/8], [-1/8388608, -1/8388608]]]], [[5,
7, 3, 6, 4], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1),
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0
], [-9/8, -9/8], [3/8, 3/8], [908093/1048576, 454047/524288]]]], [[5, 7, 3, 6,
5], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8
, -9/8], [3/8, 3/8], [2, 2]]]], [[5, 9, 1, 3, 1], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
3, -3], [836497/1048576, 836497/1048576], [-3, -3]]]], [[5, 9, 1, 3, 2], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u
^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576], [-\
1556087/1048576, -778043/524288]]]], [[5, 9, 1, 3, 3], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576], [0, 0]]
]], [[5, 9, 1, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -
u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [836497/1048576, 
836497/1048576], [778043/524288, 1556087/1048576]]]], [[5, 9, 1, 3, 5], [And(-\
1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^
2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576], [3, 3]]]], [[5
, 10, 4, 1, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, y < -1, z < -(1
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [
-1, -1], [-2, -2], [-3, -3]]]], [[5, 10, 4, 1, 2], [And(-1 < v,v < 0), u = (v^
2+1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 10, 4, 1, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2
, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [-2, -2], [-1/4194304, -1
/4194304]]]], [[5, 10, 4, 1, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1
, y < -1, z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[5,
10, 4, 1, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1,
-1], [-2, -2], [3, 3]]]], [[6, 2, 8, 5, 1], [v = 0, u = -2^(1/2), x = 1, And(-\
1 < y,y < 0), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [1, 1], [-1/2, -1/2], [0, 0]]]], [[6, 4, 1, 6, 1], [v = 0, u = -1, x
< -2, y = -x, z < 0], [regular_chain, [[0, 0], [-1, -1], [-3, -3], [3, 3], [-1
, -1]]]], [[6, 4, 1, 6, 2], [v = 0, u = -1, x < -2, y = -x, z = 0], [
regular_chain, [[0, 0], [-1, -1], [-3, -3], [3, 3], [0, 0]]]], [[6, 4, 1, 6, 3
], [v = 0, u = -1, x < -2, y = -x, 0 < z], [regular_chain, [[0, 0], [-1, -1],
[-3, -3], [3, 3], [1, 1]]]], [[6, 9, 1, 4, 1], [v = 0, And(1 < u,u < 2^(1/2)),
x < -u^2-1, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-4, -4], [1617841/1048576, 808921/524288],
[-3, -3]]]], [[6, 9, 1, 4, 2], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y =
-u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-4, -4], [1617841/1048576, 808921/524288], [-410915/262144,
-3287319/2097152]]]], [[6, 9, 1, 4, 3], [v = 0, And(1 < u,u < 2^(1/2)), x < -u
^2-1, y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain
, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1617841/1048576, 
808921/524288], [-1/4194304, -1/4194304]]]], [[6, 9, 1, 4, 4], [v = 0, And(1 <
u,u < 2^(1/2)), x < -u^2-1, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1617841/1048576, 
808921/524288], [1643659/1048576, 410915/262144]]]], [[6, 9, 1, 4, 5], [v = 0,
And(1 < u,u < 2^(1/2)), x < -u^2-1, y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [1617841
/1048576, 808921/524288], [3, 3]]]], [[6, 10, 3, 5, 1], [v = 0, u = 2^(1/2), 
And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0
, 0], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[6, 10
, 3, 5, 2], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2,
-2], [1, 1], [-1, -1]]]], [[6, 10, 3, 5, 3], [v = 0, u = 2^(1/2), And(-3 < x,x
< -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [0
, 0]]]], [[6, 10, 3, 5, 4], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), And(0 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-2, -2], [1, 1], [1, 1]]]], [[6, 10, 3, 5, 5], [v = 0, u = 2^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0,
0], [741455/524288, 1482911/1048576], [-2, -2], [1, 1], [2, 2]]]], [[7, 4, 8,
4, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [-1, -\
1], [-1, -1]]]], [[7, 4, 8, 4, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x =
1, y = -1, z = 0], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [1, 1], [-1, -1], [0, 0]]]], [[7, 4, 8, 4, 3], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[1/2, 1/2], [-146543
/131072, -1172343/1048576], [1, 1], [-1, -1], [1, 1]]]], [[7, 6, 1, 7, 1], [
And(0 < v,v < 1), u = -v, x < -1, -x < y, z = z], [regular_chain, [[1/2, 1/2],
[-1/2, -1/2], [-2, -2], [3, 3], [0, 0]]]], [[7, 13, 9, 8, 1], [And(0 < v,v < 1
), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [35/8, 35/8], [27/8, 27/8], [0, 0]]]], [[8
, 2, 1, 4, 1], [v = 1, u = -3^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1]
, [-3, -3]]]], [[8, 2, 1, 4, 2], [v = 1, u = -3^(1/2), x < -3, y = -x-3, z = -
3^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4,
-4], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[8, 2, 1, 4, 3], [v = 1
, u = -3^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1]
, [-1/4194304, -1/4194304]]]], [[8, 2, 1, 4, 4], [v = 1, u = -3^(1/2), x < -3,
y = -x-3, z = 3^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[8, 2, 1, 4,
5], [v = 1, u = -3^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[1,
1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1, 1], [3, 3]]]], [[8, 8,
1, 1, 1], [v = 1, u = 0, x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[
1, 1], [0, 0], [-3, -3], [-1, -1], [-3, -3]]]], [[8, 8, 1, 1, 2], [v = 1, u =
0, x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3
], [-1, -1], [-2, -2]]]], [[8, 8, 1, 1, 3], [v = 1, u = 0, x < -2, y < 0, And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [0, 0], [-3, -3
], [-1, -1], [0, 0]]]], [[8, 8, 1, 1, 4], [v = 1, u = 0, x < -2, y < 0, z = (-
x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [-1, -1], [2, 2]]]], [
[8, 8, 1, 1, 5], [v = 1, u = 0, x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [-3, -3], [-1, -1], [3, 3]]]], [[8, 9, 7, 6, 1
], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [0, 0], [-2, -2]]]], [[8, 9,
7, 6, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = 0, z = -(-x)^(1/2
)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [0, 0], [-46341/131072,
-370727/1048576]]]], [[8, 9, 7, 6, 3], [v = 1, And(0 < u,u < 1), And(-u^2 < x,
x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1],
[1/2, 1/2], [-1/8, -1/8], [0, 0], [0, 0]]]], [[8, 9, 7, 6, 4], [v = 1, And(0 <
u,u < 1), And(-u^2 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1]
, [1/2, 1/2], [-1/8, -1/8], [0, 0], [370727/1048576, 46341/131072]]]], [[8, 9,
7, 6, 5], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = 0, (-x)^(1/2) < z
], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [0, 0], [2, 2]]]], [[8,
14, 2, 5, 1], [v = 1, u = 3^(1/2), x = -3, And(3 < y,y < 4), z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-3, -3], [7/2, 7/2]
, [0, 0]]]], [[8, 15, 7, 3, 1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), And(-u^
2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1/2, 1/
2], [-5, -5], [-4, -4]]]], [[8, 15, 7, 3, 2], [v = 1, 3^(1/2) < u, And(0 < x,x
< 1), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3,
3], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[8, 15, 7,
3, 3], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), And(-u^2-x < y,y < -x), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2],
[-5, -5], [0, 0]]]], [[8, 15, 7, 3, 4], [v = 1, 3^(1/2) < u, And(0 < x,x < 1),
And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1
/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[8, 15, 7, 3, 5], [
v = 1, 3^(1/2) < u, And(0 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-5, -5], [4, 4]]]], [[9, 6, 1
, 2, 1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[9, 6, 1, 2, 2], [And(1 < v,
v < 2^(1/2)), u = -v, x < -1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[9, 6, 1, 2, 3], [And(1 <
v,v < 2^(1/2)), u = -v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [0, 0]]]], [[9, 6, 1, 2, 4], [And(1 < v,v
< 2^(1/2)), u = -v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [0,
0], [741455/524288, 1482911/1048576]]]], [[9, 6, 1, 2, 5], [And(1 < v,v < 2^(1
/2)), u = -v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [0,
0], [3, 3]]]], [[9, 7, 9, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2
-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-5995787/8388608, -5995787/8388608], [-2, -2]]]
], [[9, 7, 9, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-5995787/8388608, -5995787/8388608], [-242963/
524288, -485925/1048576]]]], [[9, 7, 9, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-5995787/
8388608, -5995787/8388608], [0, 0]]]], [[9, 7, 9, 5, 4], [And(1 < v,v < 2^(1/2
)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-5995787/8388608, -5995787/
8388608], [485925/1048576, 242963/524288]]]], [[9, 7, 9, 5, 5], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [1/2, 1/2], [-5995787/8388608,
-5995787/8388608], [2, 2]]]], [[9, 9, 4, 7, 1], [And(1 < v,v < 2^(1/2)), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(1 < y,y < -u^2+v^2), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [
1288231/1048576, 1288231/1048576], [0, 0]]]], [[9, 10, 9, 1, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [-5, -5], [-3, -3]]]], [[9, 10, 9, 1, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[9, 10, 9, 1, 3], [And(1 <
v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[9, 
10, 9, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y < -x-2, z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]]
, [[9, 10, 9, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), 1 < x, y < -x
-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [-5, -5], [3, 3]]]], [[9, 16, 8, 7, 1]
, [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [1, 1], [1, 1], [0, 0]]]], [[10, 1, 2, 3, 1], [v = 2^(1/2), u < -2,
x = -u^2+1, And(0 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [4, 4], [-3, -3]]]], [[10
, 1, 2, 3, 2], [v = 2^(1/2), u < -2, x = -u^2+1, And(0 < y,y < u^2-1), z = -(u
^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
-8, -8], [4, 4], [-2, -2]]]], [[10, 1, 2, 3, 3], [v = 2^(1/2), u < -2, x = -u^
2+1, And(0 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [4, 4],
[0, 0]]]], [[10, 1, 2, 3, 4], [v = 2^(1/2), u < -2, x = -u^2+1, And(0 < y,y <
u^2-1), z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-8, -8], [4, 4], [2, 2]]]], [[10, 1, 2, 3, 5], [v = 2^(1/2), u <
-2, x = -u^2+1, And(0 < y,y < u^2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [4, 4], [3, 3]]]], [[10,
5, 4, 8, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y = 1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1, -1], [1, 1], [-1, -1]]]], [[10, 5, 4, 8, 2], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), x = -1, y = 1, z = 0], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1, -1], [1, 1], [0,
0]]]], [[10, 5, 4, 8, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = -1, y =
1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1, -1], [1, 1], [1, 1]]]], [[10, 7, 1, 9, 1], [v
= 2^(1/2), And(-v < u,u < -1), x < u^2-3, -x < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3
], [4, 4], [0, 0]]]], [[10, 12, 8, 6, 1], [v = 2^(1/2), u = 1, x = 1, y = 0, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0
], [0, 0]]]], [[10, 14, 3, 1, 1], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y <
-1-x, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[10, 14
, 3, 1, 2], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911
/1048576], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[10
, 14, 3, 1, 3], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[10,
14, 3, 1, 4], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 
1482911/1048576], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]],
[[10, 14, 3, 1, 5], [v = 2^(1/2), u = v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [741455/524288,
1482911/1048576], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[11, 2, 4, 7, 1], [2^(1/
2) < v, u = -(v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z = z], [regular_chain,
[[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1], [3/2, 3/2], [0, 0]]]],
[[11, 3, 9, 5, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [-2097155/4194304, -2097155/4194304], [0, 0]]]], [[11, 9, 10, 7, 1],
[2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(-u^2+v^2-\
2 < y,y < 0), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [1, 1], [-128885/524288, -128885/524288], [0, 0]]]], [[11, 11, 4, 3,
1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(u^2-v
^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [
-9/2, -9/2], [-4, -4]]]], [[11, 11, 4, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [-9/2, -9/2], [-2459129/1048576, -\
307391/131072]]]], [[11, 11, 4, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-9/2, -9/2], [0, 0]]]]
, [[11, 11, 4, 3, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [0,
0], [-1, -1], [-9/2, -9/2], [307391/131072, 2459129/1048576]]]], [[11, 11, 4,
3, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(u^
2-v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-1, -1],
[-9/2, -9/2], [4, 4]]]], [[11, 15, 7, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [-3, -3], [-3, -3]]]], [[11, 15, 7, 1, 2], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-
x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [-3, -3], [-1889277/1048576, -7557107/
4194304]]]], [[11, 15, 7, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [-3, -3], [-3/8388608, -3/8388608]]]], [[11, 15, 7,
1, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0),
y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-516571/2097152, -516571/2097152], [-3, -3], [472319/262144
, 1889277/1048576]]]], [[11, 15, 7, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u
,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [-3, -3], [3, 3]]]], [[11, 17, 4, 2, 1], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [-64673/
131072, -517383/1048576], [-3, -3]]]], [[11, 17, 4, 2, 2], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-1, -1], [-64673/
131072, -517383/1048576], [-1281417/1048576, -160177/131072]]]], [[11, 17, 4,
2, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-1, -1], [-64673/131072, -517383/1048576], [0,
0]]]], [[11, 17, 4, 2, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -1,
y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-1, -1], [-64673/131072, -517383/1048576], [160177/131072, 
1281417/1048576]]]], [[11, 17, 4, 2, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-1, -1], [-64673/131072, -517383/1048576], [3
, 3]]]], [[1, 1, 7, 8, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [
29/2, 29/2], [0, 0]]]], [[1, 2, 9, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), 1
< x, 0 < y, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [2, 2], [1, 1], [0, 0]]]], [[1, 9, 3, 1, 1], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1
, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369
/8388608], [-7357527/4194304, -7357527/4194304], [-2, -2], [-3, -3]]]], [[1, 9
, 3, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2
-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [-2, -2], [-32507003/16777216, -16253501/8388608]]]], [[1, 9, 3, 1,
3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-2, -2], [-5/16777216, -5/16777216]]]], [[1, 9, 3
, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^
2-1 < x,x < -1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304]
, [-2, -2], [2031687/1048576, 253961/131072]]]], [[1, 9, 3, 1, 5], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y <
u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608,
-22960369/8388608], [-7357527/4194304, -7357527/4194304], [-2, -2], [3, 3]]]],
[[1, 10, 4, 9, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = -1, 2 < y, z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1, -1], [3,
3], [0, 0]]]], [[1, 14, 7, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,
x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [741455/262144,
2965821/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[1, 16, 1, 1, 1], [v <
-2^(1/2), u = -v, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [3, 3], [-2, -2], [-1, -1], [-3, -3]]]], [[1, 16, 1, 1, 2], [v < -2^(1/2), u
= -v, x < -1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-\
2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[1, 16, 1, 1, 3],
[v < -2^(1/2), u = -v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-3, -3], [3, 3], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[1, 16, 1, 1, 4], [v < -2^(1/2), u = -v, x < -1, y < 0, z = (-x-
y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [-1, -1], [908093/
524288, 1816187/1048576]]]], [[1, 16, 1, 1, 5], [v < -2^(1/2), u = -v, x < -1,
y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [-1, -1
], [3, 3]]]], [[2, 1, 1, 2, 1], [v = -2^(1/2), u < -2, x < -u^2+1, y = 0, z <
-(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
-9, -9], [0, 0], [-4, -4]]]], [[2, 1, 1, 2, 2], [v = -2^(1/2), u < -2, x < -u^
2+1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9, -9], [0, 0], [-3, -3]]]], [[2, 1, 1, 2, 3], [v = -2^(1
/2), u < -2, x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9, -9], [0, 0]
, [0, 0]]]], [[2, 1, 1, 2, 4], [v = -2^(1/2), u < -2, x < -u^2+1, y = 0, z = (
-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9
, -9], [0, 0], [3, 3]]]], [[2, 1, 1, 2, 5], [v = -2^(1/2), u < -2, x < -u^2+1,
y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [-9, -9], [0, 0], [4, 4]]]], [[2, 2, 3, 3, 1], [v = -2^(1/2), u = -2,
And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [-1/2, -1/2], [-3, -3]
]]], [[2, 2, 3, 3, 2], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(-x-3 < y
,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]
]], [[2, 2, 3, 3, 3], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(-x-3 < y,
y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[2, 2,
3, 3, 4], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2],
[-2, -2], [-1/2, -1/2], [207243/131072, 1657945/1048576]]]], [[2, 2, 3, 3, 5],
[v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [
-1/2, -1/2], [3, 3]]]], [[2, 9, 9, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), 
And(-u^2+1 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [7/8, 7/8], [1, 1], [0, 0]]]], [[2, 11, 3, 1, 1]
, [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y < u^2-x-3, z < -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-15/8, -15/8], [-2, -2], [-3, -3]]]], [[2, 11, 3, 1, 2], [v = -2^(1/2), And(0
< u,u < 1), And(u^2-3 < x,x < -1), y < u^2-x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [-2, -2], [-33025983/16777216, -16512991/8388608]]]], [[2, 11, 3, 1, 3], [v
= -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y < u^2-x-3, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-15/8, -15/8], [-2, -2], [-7/16777216, -7/16777216]]]],
[[2, 11, 3, 1, 4], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y <
u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1/2, 1/2], [-15/8, -15/8], [-2, -2], [2064123/1048576, 516031/262144]]]],
[[2, 11, 3, 1, 5], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y <
u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1/2, 1/2], [-15/8, -15/8], [-2, -2], [3, 3]]]], [[2, 17, 4, 9, 1], [v = -2
^(1/2), And(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1]
, [3, 3], [0, 0]]]], [[2, 18, 7, 1, 1], [v = -2^(1/2), u = 2, And(0 < x,x < 1)
, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[2, 18, 7, 1, 2], [v = -2
^(1/2), u = 2, And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-5, -5], [-1112183/
524288, -2224365/1048576]]]], [[2, 18, 7, 1, 3], [v = -2^(1/2), u = 2, And(0 <
x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-5, -5], [0, 0]]]],
[[2, 18, 7, 1, 4], [v = -2^(1/2), u = 2, And(0 < x,x < 1), y < -x-3, z = (-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1
/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[2, 18, 7, 1, 5], [v = -
2^(1/2), u = 2, And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-5, -5], [4, 4]]]],
[[3, 3, 8, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-4, -4], [-3, -3]]]], [[3
, 3, 8, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-4, -4], [-1967663/
1048576, -15741303/8388608]]]], [[3, 3, 8, 1, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, 
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [-4, -4], [-7/16777216, -7/16777216]]]], [[3,
3, 8, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-4, -4], [983831/524288,
1967663/1048576]]]], [[3, 3, 8, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-4, -4
], [3, 3]]]], [[3, 5, 3, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2)
< u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-646847/524288, -646847/524288], [-245119/1048576, -122559
/524288], [-3, -3]]]], [[3, 5, 3, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-245119/
1048576, -122559/524288], [-1270261/1048576, -317565/262144]]]], [[3, 5, 3, 2,
3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-245119/1048576, -122559/
524288], [0, 0]]]], [[3, 5, 3, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-245119/1048576
, -122559/524288], [317565/262144, 1270261/1048576]]]], [[3, 5, 3, 2, 5], [And
(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -\
1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [-245119/1048576, -122559/524288], [3, 3]]]], [[3, 11
, 5, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [-2, -2], [-3, -3]]]], [[3, 11, 5, 1, 2], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y
< u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [-2, -2], [-3455375/2097152, -1727687/1048576]]]], [[3, 11, 5, 1, 3],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+
v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-2, -2], [0, 0]]]], [[3, 11, 5, 1
, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x <
-u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [-2, -2], [1727687/1048576, 215961/131072]]]], [[3, 11, 5, 1,
5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -
u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [-2, -2], [3, 3]]]], [[3, 13, 1, 7, 1], [And(-2^(1/2) < v,v <
-1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3, -3], [1433279/524288, 1433279/524288]
, [-2, -2]]]], [[3, 13, 1, 7, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v
^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [1433279/524288, 1433279/524288], [-1082093/
2097152, -270523/524288]]]], [[3, 13, 1, 7, 3], [And(-2^(1/2) < v,v < -1), And
(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [1433279/
524288, 1433279/524288], [0, 0]]]], [[3, 13, 1, 7, 4], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3, -3], [1433279/524288, 1433279/524288],
[270523/524288, 541047/1048576]]]], [[3, 13, 1, 7, 5], [And(-2^(1/2) < v,v < -\
1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3, -3], [1433279/524288, 1433279/524288],
[2, 2]]]], [[3, 14, 5, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/2, 1/2],
[-1, -1]]]], [[3, 14, 5, 6, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/2, 1/2],
[0, 0]]]], [[3, 14, 5, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [1/2, 1/2],
[1, 1]]]], [[3, 15, 10, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [898327/524288, 898327/524288], [1, 1], [0, 0], [0, 0]]]]
, [[4, 4, 3, 6, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y = -x, z < 0],
[regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [
3/2, 3/2], [-1, -1]]]], [[4, 4, 3, 6, 2], [v = -1, u = -2^(1/2), And(-2 < x,x
< -1), y = -x, z = 0], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[4, 4, 3, 6, 3], [v = -1, u = -
2^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[4, 5,
9, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(-u^2-x < y,
y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [1/2, 1/2], [-50331659/33554432, -50331659/33554432], [-3
, -3]]]], [[4, 5, 9, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1
), And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-50331659/33554432, -\
50331659/33554432], [-1048577/1048576, -1]]]], [[4, 5, 9, 3, 3], [v = -1, And(
-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [1/2, 1/2], [-50331659/33554432, -50331659/33554432], [0, 0
]]]], [[4, 5, 9, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), 
And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-50331659/33554432, -50331659
/33554432], [1, 1048577/1048576]]]], [[4, 5, 9, 3, 5], [v = -1, And(-2^(1/2) <
u,u < -1), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
50331659/33554432, -50331659/33554432], [3, 3]]]], [[4, 10, 6, 2, 1], [v = -1,
u = 1, x = 1, y = -2, z < -1], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-2,
-2], [-2, -2]]]], [[4, 10, 6, 2, 2], [v = -1, u = 1, x = 1, y = -2, z = -1], [
regular_chain, [[-1, -1], [1, 1], [1, 1], [-2, -2], [-1, -1]]]], [[4, 10, 6, 2
, 3], [v = -1, u = 1, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-1,
-1], [1, 1], [1, 1], [-2, -2], [0, 0]]]], [[4, 10, 6, 2, 4], [v = -1, u = 1, x
= 1, y = -2, z = 1], [regular_chain, [[-1, -1], [1, 1], [1, 1], [-2, -2], [1,
1]]]], [[4, 10, 6, 2, 5], [v = -1, u = 1, x = 1, y = -2, 1 < z], [
regular_chain, [[-1, -1], [1, 1], [1, 1], [-2, -2], [2, 2]]]], [[4, 12, 1, 5,
1], [v = -1, u = 2^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [2, 2],
[-2, -2]]]], [[4, 12, 1, 5, 2], [v = -1, u = 2^(1/2), x < -2, And(-x-2 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3, -3], [2, 2], [-1, -1]]]], [[4, 12, 1, 5, 3], [v = -1, u = 2^(1/
2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [2, 2],
[0, 0]]]], [[4, 12, 1, 5, 4], [v = -1, u = 2^(1/2), x < -2, And(-x-2 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [-3, -3], [2, 2], [1, 1]]]], [[4, 12, 1, 5, 5], [v = -1, u = 2^(1/2)
, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [2, 2]]]], [[5, 2, 6, 6, 1
], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, y = 1, z = z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [1, 1], [0, 0]]]], [[5, 3,
10, 9, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
1, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [1, 1], [1, 1], [0, 0]]]], [[5, 11, 10, 4, 1], [And(-1 < v,v < 0), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [-1, -1]
, [-1, -1]]]], [[5, 11, 10, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [1, 1], [-1, -1], [0, 0]]]], [[5, 11, 10, 4, 3]
, [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -1,
0 < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1],
[-1, -1], [1, 1]]]], [[5, 13, 3, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [-3, -3]
]]], [[5, 13, 3, 5, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1
< x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [-3437987/2097152, -1718993/
1048576]]]], [[5, 13, 3, 5, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^
2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [0,
0]]]], [[5, 13, 3, 5, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-\
1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [1718993/1048576, 859497/524288]
]]], [[5, 13, 3, 5, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1
< x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [3, 3]]]], [[6, 5, 8, 6, 1], [v =
0, And(-1 < u,u < 0), x = 0, y = 0, z < 0], [regular_chain, [[0, 0], [-1/2, -1
/2], [0, 0], [0, 0], [-1, -1]]]], [[6, 5, 8, 6, 2], [v = 0, And(-1 < u,u < 0),
x = 0, y = 0, z = 0], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [0, 0], [
0, 0]]]], [[6, 5, 8, 6, 3], [v = 0, And(-1 < u,u < 0), x = 0, y = 0, 0 < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]], [[6, 7, 5, 3,
1], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(-u^2-x-1 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-3/16,
-3/16], [-3, -3]]]], [[6, 7, 5, 3, 2], [v = 0, And(0 < u,u < 1), And(-1 < x,x
< u^2-1), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0]
, [1/2, 1/2], [-7/8, -7/8], [-3/16, -3/16], [-67553/65536, -1080847/1048576]]]
], [[6, 7, 5, 3, 3], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(-u^2
-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0
, 0], [1/2, 1/2], [-7/8, -7/8], [-3/16, -3/16], [0, 0]]]], [[6, 7, 5, 3, 4], [
v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(-u^2-x-1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-3/16, -3/16
], [1080847/1048576, 67553/65536]]]], [[6, 7, 5, 3, 5], [v = 0, And(0 < u,u <
1), And(-1 < x,x < u^2-1), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [-3/16, -3/16], [3, 3]]]], [
[6, 11, 8, 5, 1], [v = 0, 2^(1/2) < u, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[0, 0], [3, 3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[7, 1, 10, 4
, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, z
< 0], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [-31/4, -31/4], [-1
, -1]]]], [[7, 1, 10, 4, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^
2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/
4], [-31/4, -31/4], [0, 0]]]], [[7, 1, 10, 4, 3], [And(0 < v,v < 1), u < -(v^2
+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[1/2, 1/2],
[-3, -3], [31/4, 31/4], [-31/4, -31/4], [1, 1]]]], [[7, 7, 10, 5, 1], [And(0 <
v,v < 1), And(-v < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1
/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-11/8, -11/8], [-2, -2]]]]
, [[7, 7, 10, 5, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(-u^2+v^2
-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1
], [-11/8, -11/8], [-1284239/2097152, -642119/1048576]]]], [[7, 7, 10, 5, 3],
[And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-
(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1,
1], [-11/8, -11/8], [0, 0]]]], [[7, 7, 10, 5, 4], [And(0 < v,v < 1), And(-v <
u,u < v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain
, [[1/2, 1/2], [0, 0], [1, 1], [-11/8, -11/8], [642119/1048576, 80265/131072]]
]], [[7, 7, 10, 5, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(-u^2+v
^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1,
1], [-11/8, -11/8], [2, 2]]]], [[7, 9, 7, 2, 1], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [-3, -\
3]]]], [[7, 9, 7, 2, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [-19417/16384,
-1242687/1048576]]]], [[7, 9, 7, 2, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+
1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-1160525/1048576, -\
290131/262144], [0, 0]]]], [[7, 9, 7, 2, 4], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [
1242687/1048576, 19417/16384]]]], [[7, 9, 7, 2, 5], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [
-1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [3, 3
]]]], [[7, 11, 2, 7, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [4, 4], [
0, 0]]]], [[7, 12, 5, 3, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[3/2, 3/2], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[7, 12, 5, 3, 2], [And(0
< v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-
x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [-5/4, -5/
4], [-10837/8192, -1387135/1048576]]]], [[7, 12, 5, 3, 3], [And(0 < v,v < 1),
u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [
-5/4, -5/4], [0, 0]]]], [[7, 12, 5, 3, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2
), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/
8192]]]], [[7, 12, 5, 3, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,
x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
3/2, 3/2], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[8, 5, 1, 4, 1], [v = 1, 
And(-2^(1/2) < u,u < -1), x < -u^2, y = -u^2-x, z < u], [regular_chain, [[1, 1
], [-1265743/1048576, -1265743/1048576], [-3, -3], [1617841/1048576, 808921/
524288], [-3, -3]]]], [[8, 5, 1, 4, 2], [v = 1, And(-2^(1/2) < u,u < -1), x <
-u^2, y = -u^2-x, z = u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743
/1048576], [-3, -3], [1617841/1048576, 808921/524288], [-1265743/1048576, -\
1265743/1048576]]]], [[8, 5, 1, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), x < -
u^2, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [1617841/1048576, 808921/524288], [0, 0]
]]], [[8, 5, 1, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = -u^2-x,
z = -u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [1617841/1048576, 808921/524288], [1265743/1048576, 1265743/1048576]]]], [
[8, 5, 1, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = -u^2-x, -u <
z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1617841/1048576, 808921/524288], [3, 3]]]], [[8, 6, 5, 1, 1], [v = 1, u = -1,
And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1,
-1], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[8, 6, 5, 1, 2], [v = 1, u = -1, And(
0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1],
[1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[8, 6, 5, 1, 3],
[v = 1, u = -1, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-3, -3], [0, 0]]]], [[
8, 6, 5, 1, 4], [v = 1, u = -1, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[8, 6, 5, 1, 5], [v = 1, u = -1, And(0 < x,x < 1), y < -\
1-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1, -1], [1/2, 1/2], [-3, -3
], [3, 3]]]], [[8, 11, 4, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = u
^2-1, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743
/1048576], [-1, -1], [239655/524288, 479311/1048576], [-2, -2]]]], [[8, 11, 4,
6, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = u^2-1, z = -(-u^2+2)^(1/2)]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1, -1], [
239655/524288, 479311/1048576], [-772605/1048576, -1545209/2097152]]]], [[8, 
11, 4, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = u^2-1, And(-(-u^2+2)
^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-1, -1], [239655/524288, 479311/1048576], [-1/4194304, -1/
4194304]]]], [[8, 11, 4, 6, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = u^
2-1, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1, -1], [239655/524288, 479311/1048576], [193151/262144, 772605/
1048576]]]], [[8, 11, 4, 6, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = -1, y = u^
2-1, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1, -1], [239655/524288, 479311/1048576], [2, 2]]]], [[8, 12, 8, 7,
1], [v = 1, u = 2^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0]]]], [[9, 3, 3, 3, 1],
[And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-775271/2097152, -\
775271/2097152], [-3, -3]]]], [[9, 3, 3, 3, 2], [And(1 < v,v < 2^(1/2)), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^
2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -\
3647693/2097152], [-775271/2097152, -775271/2097152], [-380699/262144, -\
1522795/1048576]]]], [[9, 3, 3, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y
,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [-775271/2097152, -775271/2097152], [0, 0]]]], [[9
, 3, 3, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-775271/2097152, -\
775271/2097152], [1522795/1048576, 380699/262144]]]], [[9, 3, 3, 3, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [-775271/2097152, -775271/2097152], [3, 3]
]]], [[9, 4, 7, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,
x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [-3, -\
3]]]], [[9, 4, 7, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 <
x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [-\
1482911/1048576, -741455/524288]]]], [[9, 4, 7, 2, 3], [And(1 < v,v < 2^(1/2))
, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[9, 4, 7, 2, 4], [And(
1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]
], [[9, 4, 7, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), And(0 < x,x
< 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [3, 3]
]]], [[9, 12, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And
(-1-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/4, -1/
4], [-2, -2]]]], [[9, 12, 3, 3, 2], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x
,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [
-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]], [[9, 12, 3, 3, 3], [And(
1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [-1/
8388608, -1/8388608]]]], [[9, 12, 3, 3, 4], [And(1 < v,v < 2^(1/2)), u = v, 
And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2,
-1/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]]], [[9, 12, 3, 3, 5], [
And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[9, 13, 10,
9, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, 0 < y, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [1, 1], [1, 1], [0, 0]]]], [[10, 2, 4, 8, 1], [v = 2^(1/2),
u = -2, x = -1, y = 2, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [2, 2], [0, 0]]]], [[10, 3, 9, 6, 1], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = u^2-x-3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [-271555/1048576, -135777/524288], [
0, 0]]]], [[10, 8, 5, 4, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [
-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 8, 5, 4, 2], [v = 2^(1/2), u = -1, And
(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[10, 8, 5, 4, 3], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 8, 5, 4, 4]
, [v = 2^(1/2), u = -1, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[10, 8, 5, 4, 5], [v = 2^(1/2), u = -1,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1, -1], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 9, 11, 1, 1
], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-6, -\
6], [-3, -3]]]], [[10, 9, 11, 1, 2], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y
< u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [2, 2], [-6, -6], [-2, -2]]]], [[10, 9, 11, 1, 3], [v
= 2^(1/2), And(-1 < u,u < 0), 1 < x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[2, 2], [-6, -6], [0, 0]]]], [[10, 9, 11, 1, 4], [v = 2^(1/2), And(-1 < u,u <
0), 1 < x, y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [2, 2], [-6, -6], [2, 2]]]], [[10, 9, 11, 1, 5
], [v = 2^(1/2), And(-1 < u,u < 0), 1 < x, y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [-6, -\
6], [3, 3]]]], [[10, 15, 10, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x =
1, And(-1 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[10,
17, 6, 1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = 0, y < -u^2+1, z < -(-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152
, 3913339/2097152], [0, 0], [-4, -4], [-3, -3]]]], [[10, 17, 6, 1, 2], [v = 2^
(1/2), And(3^(1/2) < u,u < 2), x = 0, y < -u^2+1, z = -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [-4, -4], [-2, -2]]]], [[10, 17, 6, 1, 3], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x = 0, y < -u^2+1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [0, 0], [-4, -4], [0, 0]]]], [[10, 17, 6, 1, 4], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), x = 0, y < -u^2+1, z = (-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [0, 0], [
-4, -4], [2, 2]]]], [[10, 17, 6, 1, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = 0, y < -u^2+1, (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [0, 0], [-4, -4], [3, 3]]]], [[
10, 18, 8, 6, 1], [v = 2^(1/2), u = 2, x = 1, y = 0, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [2, 2], [1, 1], [0, 0], [0, 0]]]], [[11, 1,
2, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [0, 0], [-6, -6]]
]], [[11, 1, 2, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [0,
0], [-2161695/524288, -4323389/1048576]]]], [[11, 1, 2, 2, 3], [2^(1/2) < v, u
< -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [0, 0], [0, 0]]]
], [[11, 1, 2, 2, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-17, -17], [0, 0],
[4323389/1048576, 2161695/524288]]]], [[11, 1, 2, 2, 5], [2^(1/2) < v, u < -(v
^2+2)^(1/2), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
3, 3], [-5, -5], [-17, -17], [0, 0], [6, 6]]]], [[11, 7, 1, 6, 1], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-3, -3], [657289/262144, 2629157/1048576], [-2, -2]]]], [[11, 7, 1, 6, 2], [2
^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [657289/262144, 2629157/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[11, 7, 1, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-3, -3], [657289/262144, 2629157/1048576], [-1/4194304, -1/4194304]]]], [[11,
7, 1, 6, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [657289/262144, 2629157/1048576], [
367989/524288, 735979/1048576]]]], [[11, 7, 1, 6, 5], [2^(1/2) < v, And(-v < u
,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3], [
657289/262144, 2629157/1048576], [2, 2]]]], [[11, 8, 5, 1, 1], [2^(1/2) < v, u
= -(v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
-3, -3], [-3, -3]]]], [[11, 8, 5, 1, 2], [2^(1/2) < v, u = -(v^2-1)^(1/2), And
(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-1/2, -1/2], [-3, -3], [-7846825/4194304
, -980853/524288]]]], [[11, 8, 5, 1, 3], [2^(1/2) < v, u = -(v^2-1)^(1/2), And
(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304], [-1/2, -1/2], [
-3, -3], [0, 0]]]], [[11, 8, 5, 1, 4], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-\
1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/
1048576]]]], [[11, 8, 5, 1, 5], [2^(1/2) < v, u = -(v^2-1)^(1/2), And(-1 < x,x
< 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-2965821/1048576,
-11863283/4194304], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[11, 12, 6, 7, 1], [2^
(1/2) < v, u = (v^2-2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [0, 0], [2, 2], [0, 0]]]], [[11, 13, 11, 5, 1],
[2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-x < y,y <
-u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [2, 2], [-915317/524288, -915317/524288], [0, 0]]]], [[11, 20, 1, 7,
1], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4], [9/2, 9/2
], [0, 0]]]], [[11, 21, 6, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, And(
-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [0,
0], [-17/2, -17/2], [-4, -4]]]], [[11, 21, 6, 3, 2], [2^(1/2) < v, (v^2+2)^(1/
2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[
3, 3], [5, 5], [0, 0], [-17/2, -17/2], [-24456785/8388608, -1528549/524288]]]]
, [[11, 21, 6, 3, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 <
y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [5, 5
], [0, 0], [-17/2, -17/2], [0, 0]]]], [[11, 21, 6, 3, 4], [2^(1/2) < v, (v^2+2
)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain
, [[3, 3], [5, 5], [0, 0], [-17/2, -17/2], [1528549/524288, 3057099/1048576]]]
], [[11, 21, 6, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1
< y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [0, 0], [-17/2,
-17/2], [4, 4]]]], [[1, 4, 4, 5, 1], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1
, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-3315889/
1048576, -207243/65536], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[1, 4, 4, 5, 2],
[v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)]
, [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [1/2
, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 4, 4, 5, 3], [v < -2^(1/2
), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1,
-1], [1/2, 1/2], [0, 0]]]], [[1, 4, 4, 5, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2
), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/
65536]]]], [[1, 4, 4, 5, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, And(0
< y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 5, 10, 4, 1], [v < -2^(1/
2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-\
1579769/1048576, -3159537/2097152], [-2, -2]]]], [[1, 5, 10, 4, 2], [v < -2^(1
/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-\
1579769/1048576, -3159537/2097152], [-373161/524288, -1492643/2097152]]]], [[1
, 5, 10, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v
^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
-3, -3], [-403851/131072, -403851/131072], [1, 1], [-1579769/1048576, -3159537
/2097152], [-1/4194304, -1/4194304]]]], [[1, 5, 10, 4, 4], [v < -2^(1/2), And(
-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-1579769/
1048576, -3159537/2097152], [746321/1048576, 373161/524288]]]], [[1, 5, 10, 4,
5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, (-u^2+
v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072]
, [1, 1], [-1579769/1048576, -3159537/2097152], [2, 2]]]], [[1, 11, 9, 6, 1],
[v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 < x,x < -u^2+v
^2-1), y = 0, z = z], [regular_chain, [[-3, -3], [0, 0], [9/2, 9/2], [0, 0], [
0, 0]]]], [[1, 13, 3, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [
0, 0], [-3, -3]]]], [[1, 13, 3, 4, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [0, 0], [-347197/262144, -1388787/1048576]]]], [[1, 13, 3, 4,
3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x
,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [0, 0]
, [0, 0]]]], [[1, 13, 3, 4, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288],
[0, 0], [1388787/1048576, 347197/262144]]]], [[1, 13, 3, 4, 5], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, (-
x)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
919691/524288, -919691/524288], [0, 0], [3, 3]]]], [[1, 17, 9, 7, 1], [v < -2^
(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z =
z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [-1
/4, -1/4], [0, 0]]]], [[1, 19, 5, 1, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
3, -3], [-3, -3]]]], [[1, 19, 5, 1, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
3, -3], [-7846825/4194304, -980853/524288]]]], [[1, 19, 5, 1, 3], [v < -2^(1/2
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[1, 19,
5, 1, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,
x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 
1961707/1048576]]]], [[1, 19, 5, 1, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
3, -3], [3, 3]]]], [[2, 3, 7, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
And(0 < x,x < u^2-3), u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467
/2097152], [2, 2], [0, 0]]]], [[2, 5, 3, 5, 1], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), z < -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [746709/2097152, 
746709/2097152], [-2, -2]]]], [[2, 5, 3, 5, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [746709/2097152, 
746709/2097152], [-1968771/2097152, -15750167/16777216]]]], [[2, 5, 3, 5, 3],
[v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), And(0 < y,y <
u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/
1048576, -1297479/1048576], [746709/2097152, 746709/2097152], [-7/33554432, -7
/33554432]]]], [[2, 5, 3, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-
u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [746709/2097152, 746709/2097152], [984385/
1048576, 492193/524288]]]], [[2, 5, 3, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [746709/2097152, 
746709/2097152], [2, 2]]]], [[2, 6, 7, 5, 1], [v = -2^(1/2), u = v, 1 < x, And
(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [0, 0]]]], [[2, 8, 3, 7,
1], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), -x < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [3, 3], [0, 0]]]]
, [[2, 13, 11, 9, 1], [v = -2^(1/2), And(1 < u,u < -v), 1 < x, 0 < y, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [2, 2], [1, 1], [0, 0]]]], [[2, 15, 9, 3, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152
, 3299097/2097152], [1/2, 1/2], [-100663315/67108864, -100663315/67108864], [-\
3, -3]]]], [[2, 15, 9, 3, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 <
x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2,
1/2], [-100663315/67108864, -100663315/67108864], [-1048577/1048576, -1]]]], [
[2, 15, 9, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), 
And(-u^2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [1/2, 1/2], [-100663315/67108864, -100663315/67108864], [0, 0]]]], [
[2, 15, 9, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), 
And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-\
100663315/67108864, -100663315/67108864], [1, 1048577/1048576]]]], [[2, 15, 9,
3, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), And(-u^2-x+1
< y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-100663315/
67108864, -100663315/67108864], [3, 3]]]], [[2, 19, 11, 8, 1], [v = -2^(1/2),
2 < u, u^2-3 < x, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3, 3], [7, 7], [0, 0], [0, 0]]]], [[3, 2, 3, 4, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [0, 0], [-3, -3]]]], [[3, 2, 3, 4, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[3
, 2, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -\
1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [0
, 0], [0, 0]]]], [[3, 2, 3, 4, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [0
, 0], [741455/524288, 1482911/1048576]]]], [[3, 2, 3, 4, 5], [And(-2^(1/2) < v
,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [0, 0], [3, 3]]]], [[3, 8, 3, 3, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[3
, 8, 3, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -\
1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2],
[-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[3, 8, 3, 3, 3], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/4, -1
/4], [0, 0]]]], [[3, 8, 3, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2
), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [-3
/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[3, 8, 3, 3, 5], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y
,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [-1/4, -1/4], [3,
3]]]], [[3, 9, 9, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152]
, [-1527887/2097152, -1527887/2097152], [-1, -1]]]], [[3, 9, 9, 4, 2], [And(-2
^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-1527887/2097152, -\
1527887/2097152], [0, 0]]]], [[3, 9, 9, 4, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/
2097152, 1527887/2097152], [-1527887/2097152, -1527887/2097152], [1, 1]]]], [[
3, 17, 4, 5, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0 <
y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[3, 17, 4, 5, 2], [And(-
2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z = -(1-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1]
, [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[3, 17, 4, 5, 3], [And(
-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), And(-(1-y)^
(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[3, 17, 4, 5, 4], [And(-2^
(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [
1/2, 1/2], [741455/1048576, 46341/65536]]]], [[3, 17, 4, 5, 5], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [1/2,
1/2], [2, 2]]]], [[4, 1, 7, 1, 1], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y
< -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2],
[-11, -11], [-5, -5]]]], [[4, 1, 7, 1, 2], [v = -1, u < -3^(1/2), And(0 < x,x
< 1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1/
2, 1/2], [-11, -11], [-3397775/1048576, -1698887/524288]]]], [[4, 1, 7, 1, 3],
[v = -1, u < -3^(1/2), And(0 < x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-11, -11], [
0, 0]]]], [[4, 1, 7, 1, 4], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y < -u^2-
x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-11, -\
11], [1698887/524288, 3397775/1048576]]]], [[4, 1, 7, 1, 5], [v = -1, u < -3^(
1/2), And(0 < x,x < 1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -\
1], [-3, -3], [1/2, 1/2], [-11, -11], [5, 5]]]], [[4, 7, 6, 5, 1], [v = -1, 
And(-1 < u,u < 0), x = -u^2, And(0 < y,y < u^2), z < -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/8, 1/8], [-2, -2]]]],
[[4, 7, 6, 5, 2], [v = -1, And(-1 < u,u < 0), x = -u^2, And(0 < y,y < u^2), z
= -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/8
, 1/8], [-46341/131072, -370727/1048576]]]], [[4, 7, 6, 5, 3], [v = -1, And(-1
< u,u < 0), x = -u^2, And(0 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(
1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/8, 1/8], [0,
0]]]], [[4, 7, 6, 5, 4], [v = -1, And(-1 < u,u < 0), x = -u^2, And(0 < y,y < u
^2), z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4]
, [1/8, 1/8], [370727/1048576, 46341/131072]]]], [[4, 7, 6, 5, 5], [v = -1, 
And(-1 < u,u < 0), x = -u^2, And(0 < y,y < u^2), (u^2-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [1/8, 1/8], [2, 2]]]], [
[4, 9, 2, 1, 1], [v = -1, And(0 < u,u < 1), x = u^2-2, y < 0, z < -(-u^2-y+2)^
(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-1, -1], [-3, -3
]]]], [[4, 9, 2, 1, 2], [v = -1, And(0 < u,u < 1), x = u^2-2, y < 0, z = -(-u^
2-y+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-1, -1],
[-1738867/1048576, -3477733/2097152]]]], [[4, 9, 2, 1, 3], [v = -1, And(0 < u,
u < 1), x = u^2-2, y < 0, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [
regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-1, -1], [-1/4194304, -1/
4194304]]]], [[4, 9, 2, 1, 4], [v = -1, And(0 < u,u < 1), x = u^2-2, y < 0, z
= (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-7/4, -7/4], [-1,
-1], [869433/524288, 1738867/1048576]]]], [[4, 9, 2, 1, 5], [v = -1, And(0 < u
,u < 1), x = u^2-2, y < 0, (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [
1/2, 1/2], [-7/4, -7/4], [-1, -1], [3, 3]]]], [[4, 13, 8, 2, 1], [v = -1, And(
2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -2*u^2+2, z < -u], [regular_chain, [[
-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288],
[-12371053/4194304, -49484211/16777216], [-3, -3]]]], [[4, 13, 8, 2, 2], [v =
-1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -2*u^2+2, z = -u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576,
248903/524288], [-12371053/4194304, -49484211/16777216], [-3299097/2097152, -\
3299097/2097152]]]], [[4, 13, 8, 2, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x = u^2-2, y = -2*u^2+2, And(-u < z,z < u)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-12371053
/4194304, -49484211/16777216], [-1/4194304, -1/4194304]]]], [[4, 13, 8, 2, 4],
[v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -2*u^2+2, z = u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576,
248903/524288], [-12371053/4194304, -49484211/16777216], [412387/262144, 
1649549/1048576]]]], [[4, 13, 8, 2, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x = u^2-2, y = -2*u^2+2, u < z], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [497805/1048576, 248903/524288], [-12371053/4194304, -\
49484211/16777216], [3, 3]]]], [[4, 15, 1, 7, 1], [v = -1, 3^(1/2) < u, x < -u
^2, And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [3, 3], [-10,
-10], [27/2, 27/2], [0, 0]]]], [[5, 5, 6, 6, 1], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [
[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837
/2097152], [312209/524288, 624419/1048576], [-1, -1]]]], [[5, 5, 6, 6, 2], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+
1, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152]
, [-624419/1048576, -1248837/2097152], [312209/524288, 624419/1048576], [0, 0]
]]], [[5, 5, 6, 6, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x =
u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/
524288, 624419/1048576], [1, 1]]]], [[5, 7, 3, 9, 1], [And(-1 < v,v < 0), And(
v < u,u < -v), And(u^2-v^2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[-1
/2, -1/2], [0, 0], [-9/8, -9/8], [3, 3], [0, 0]]]], [[5, 8, 7, 7, 1], [And(-1
< v,v < 0), u = -v, 1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [1/2,
1/2], [2, 2], [1, 1], [0, 0]]]], [[5, 10, 4, 2, 1], [And(-1 < v,v < 0), u = (v
^2+1)^(1/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [-1, -1], [-1, -1], [-3, -3]]]], [[5, 10, 4,
2, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1,
-1], [-1482911/1048576, -741455/524288]]]], [[5, 10, 4, 2, 3], [And(-1 < v,v <
0), u = (v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1,
-1], [0, 0]]]], [[5, 10, 4, 2, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x =
-1, y = -1, z = 2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[5,
10, 4, 2, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1],
[-1, -1], [3, 3]]]], [[6, 2, 8, 4, 1], [v = 0, u = -2^(1/2), x = 1, y = -1, z
< 0], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-1
, -1], [-1, -1]]]], [[6, 2, 8, 4, 2], [v = 0, u = -2^(1/2), x = 1, y = -1, z =
0], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-1,
-1], [0, 0]]]], [[6, 2, 8, 4, 3], [v = 0, u = -2^(1/2), x = 1, y = -1, 0 < z],
[regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-1, -1],
[1, 1]]]], [[6, 4, 2, 2, 1], [v = 0, u = -1, x = -2, y = 0, z < -2^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [0, 0], [-3, -3]]]], [[6, 4, 2, 2,
2], [v = 0, u = -1, x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[0, 0], [-1
, -1], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[6, 4, 2, 2,
3], [v = 0, u = -1, x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [0, 0], [0, 0]]]], [[6, 4, 2, 2, 4
], [v = 0, u = -1, x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[0, 0], [-1,
-1], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[6, 4, 2, 2, 5],
[v = 0, u = -1, x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[0, 0], [-1, -1]
, [-2, -2], [0, 0], [3, 3]]]], [[6, 9, 1, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)
), x < -u^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[6, 9, 1, 1, 2],
[v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [-1, -1]
, [-146543/65536, -2344687/1048576]]]], [[6, 9, 1, 1, 3], [v = 0, And(1 < u,u
< 2^(1/2)), x < -u^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [-1, -1]
, [0, 0]]]], [[6, 9, 1, 1, 4], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y <
0, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[6, 9, 1, 1
, 5], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [-1, -1]
, [4, 4]]]], [[6, 10, 3, 6, 1], [v = 0, u = 2^(1/2), And(-3 < x,x < -1), y = -
x, z < 0], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2]
, [2, 2], [-1, -1]]]], [[6, 10, 3, 6, 2], [v = 0, u = 2^(1/2), And(-3 < x,x <
-1), y = -x, z = 0], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576]
, [-2, -2], [2, 2], [0, 0]]]], [[6, 10, 3, 6, 3], [v = 0, u = 2^(1/2), And(-3
< x,x < -1), y = -x, 0 < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [-2, -2], [2, 2], [1, 1]]]], [[7, 4, 8, 3, 1], [And(0 < v,v < 1), u
= -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [-2, -\
2], [-2, -2]]]], [[7, 4, 8, 3, 2], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x =
1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[7, 4, 8, 3,
3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y
-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [-146543/131072
, -1172343/1048576], [1, 1], [-2, -2], [0, 0]]]], [[7, 4, 8, 3, 4], [And(0 < v
,v < 1), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [-2, -\
2], [1, 1]]]], [[7, 4, 8, 3, 5], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1,
And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-146543/
131072, -1172343/1048576], [1, 1], [-2, -2], [2, 2]]]], [[7, 6, 2, 3, 1], [And
(0 < v,v < 1), u = -v, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [
[7, 6, 2, 3, 2], [And(0 < v,v < 1), u = -v, x = -1, And(0 < y,y < 1), z = -(1-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [-\
1482911/2097152, -741455/1048576]]]], [[7, 6, 2, 3, 3], [And(0 < v,v < 1), u =
-v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [0, 0]]]], [[7
, 6, 2, 3, 4], [And(0 < v,v < 1), u = -v, x = -1, And(0 < y,y < 1), z = (1-y)^
(1/2)], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[7, 6, 2, 3, 5], [And(0 < v,v < 1), u = -v,
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2
, -1/2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[7, 13, 10, 2, 1], [And(0 < v,v < 1
), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-35/2, -35/2], [-5, -5]]
]], [[7, 13, 10, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y
= -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[31/4, 31/4], [-35/2, -35/2], [-1637089/524288, -3274177/1048576]]]], [[7, 13,
10, 2, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v
^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2,
1/2], [3, 3], [31/4, 31/4], [-35/2, -35/2], [0, 0]]]], [[7, 13, 10, 2, 4], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-35/2, -35
/2], [3274177/1048576, 1637089/524288]]]], [[7, 13, 10, 2, 5], [And(0 < v,v <
1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-35/2, -35/2], [5, 5]]]]
, [[8, 2, 1, 3, 1], [v = 1, u = -3^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-
x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-\
4, -4], [1/2, 1/2], [-3, -3]]]], [[8, 2, 1, 3, 2], [v = 1, u = -3^(1/2), x < -\
3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187
/1048576, -3632373/2097152], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/
524288]]]], [[8, 2, 1, 3, 3], [v = 1, u = -3^(1/2), x < -3, And(0 < y,y < -x-3
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [-4, -4], [1/2, 1/2], [0, 0]]]], [[8, 2, 1
, 3, 4], [v = 1, u = -3^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [1/2,
1/2], [980853/524288, 1961707/1048576]]]], [[8, 2, 1, 3, 5], [v = 1, u = -3^(1
/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[1, 1],
[-1816187/1048576, -3632373/2097152], [-4, -4], [1/2, 1/2], [3, 3]]]], [[8, 8,
1, 2, 1], [v = 1, u = 0, x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1,
1], [0, 0], [-3, -3], [0, 0], [-3, -3]]]], [[8, 8, 1, 2, 2], [v = 1, u = 0, x
< -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [0,
0], [-1816187/1048576, -3632373/2097152]]]], [[8, 8, 1, 2, 3], [v = 1, u = 0,
x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1],
[0, 0], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[8, 8, 1, 2, 4], [v =
1, u = 0, x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3
, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[8, 8, 1, 2, 5], [v = 1,
u = 0, x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3, -\
3], [0, 0], [3, 3]]]], [[8, 9, 7, 3, 1], [v = 1, And(0 < u,u < 1), And(-u^2 <
x,x < 0), And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [1/2, 1/2], [-1/8, -1/8], [-7/8, -7/8], [-2, -2]]]], [[8, 9, 7, 3, 2], [
v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-7/8, -7/8
], [-1, -1]]]], [[8, 9, 7, 3, 3], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0
), And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-7/8, -7/8], [0, 0]]]], [[8
, 9, 7, 3, 4], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), And(u^2-x-2 < y,
y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1
/8], [-7/8, -7/8], [1, 1]]]], [[8, 9, 7, 3, 5], [v = 1, And(0 < u,u < 1), And(
-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-7/8, -7/8], [2, 2]]]], [[8
, 14, 3, 1, 1], [v = 1, u = 3^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2],
[-2, -2], [-3, -3]]]], [[8, 14, 3, 1, 2], [v = 1, u = 3^(1/2), And(-3 < x,x <
-1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[8, 14, 3, 1, 3], [v = 1,
u = 3^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [-2, -2], [-\
2, -2], [0, 0]]]], [[8, 14, 3, 1, 4], [v = 1, u = 3^(1/2), And(-3 < x,x < -1),
y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [-2, -2], [-2, -2], [2, 2]]]], [[8, 14, 3, 1, 5], [v = 1, u = 3^(1/2
), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [-2, -2], [-2, -2], [3, 3]]]], [[8, 15, 7, 2,
1], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, z < -u], [regular_chain
, [[1, 1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [-4, -4]]]], [[8, 15, 7, 2, 2],
[v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[
1, 1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [-3, -3]]]], [[8, 15, 7, 2, 3], [v
= 1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [0, 0]]]], [[8, 15
, 7, 2, 4], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [3, 3]]]], [[8, 15
, 7, 2, 5], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y = -u^2-x, u < z], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-19/2, -19/2], [4, 4]]]], [[9, 6,
1, 3, 1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(0 < y,y < -1-x), z < -(
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[9, 6, 1, 3, 2
], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576,
-1265743/1048576], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]]
, [[9, 6, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, And(0 < y,y < -1-
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1/
2, 1/2], [0, 0]]]], [[9, 6, 1, 3, 4], [And(1 < v,v < 2^(1/2)), u = -v, x < -1,
And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1/2, 1/2],
[642119/524288, 1284239/1048576]]]], [[9, 6, 1, 3, 5], [And(1 < v,v < 2^(1/2))
, u = -v, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [1/2, 1/2], [3, 3]]]], [[9, 7, 9, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069/1048576], [-3, -3]
]]], [[9, 7, 9, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/
2, 1/2], [-1085535/524288, -2171069/1048576], [-1314069/1048576, -328517/
262144]]]], [[9, 7, 9, 2, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)
^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-
u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069/
1048576], [0, 0]]]], [[9, 7, 9, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069/1048576], [328517/
262144, 1314069/1048576]]]], [[9, 7, 9, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [1/2, 1/2], [-1085535/524288, -2171069/1048576], [3, 3]]]],
[[9, 9, 5, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-3, -3], [-3, -3
]]]], [[9, 9, 5, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-3,
-3], [-7846825/4194304, -980853/524288]]]], [[9, 9, 5, 1, 3], [And(1 < v,v < 2
^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2
-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[9, 9,
5, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)),
And(-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[9, 9, 5, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1
/2, -1/2], [-3, -3], [3, 3]]]], [[9, 10, 8, 7, 1], [And(1 < v,v < 2^(1/2)), u
= (v^2-1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [1, 1], [0, 0]]]],
[[9, 16, 9, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y < -x-3
, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [2, 2], [-6, -6], [-3, -3]]]], [[9, 16, 9, 1,
2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [2, 2], [-6, -6], [-2, -2]]]], [[9, 16, 9, 1, 3], [And(1 < v
,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [2, 2], [-6, -6], [0, 0]]]], [[9, 16, 9, 1, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-6, -6], [2, 2]]]], [[9, 16, 9, 1, 5], [And(1 < v,v < 2^(1/
2)), u = (v^2+2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-\
6, -6], [3, 3]]]], [[10, 1, 1, 9, 1], [v = 2^(1/2), u < -2, x < -u^2+1, u^2-x-\
3 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-\
9, -9], [16, 16], [0, 0]]]], [[10, 5, 5, 2, 1], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), And(-1 < x,x < u^2-3), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [-1493419/2097152, -746709/
1048576], [-3, -3]]]], [[10, 5, 5, 2, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(-1 < x,x < u^2-3), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [-1493419/2097152, -746709/1048576], [-\
636691/524288, -1273381/1048576]]]], [[10, 5, 5, 2, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,
z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-\
1493419/2097152, -746709/1048576], [0, 0]]]], [[10, 5, 5, 2, 4], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [-1493419/2097152, -\
746709/1048576], [1273381/1048576, 636691/524288]]]], [[10, 5, 5, 2, 5], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = -u^2-x+1, (u^2-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-1493419/
2097152, -746709/1048576], [3, 3]]]], [[10, 7, 1, 8, 1], [v = 2^(1/2), And(-v
< u,u < -1), x < u^2-3, y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [3, 3], [-1,
-1]]]], [[10, 7, 1, 8, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, y = -x
, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [-3, -3], [3, 3], [0, 0]]]], [[10, 7, 1, 8, 3], [v = 2^(1
/2), And(-v < u,u < -1), x < u^2-3, y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [3,
3], [1, 1]]]], [[10, 12, 8, 7, 1], [v = 2^(1/2), u = 1, x = 1, 0 < y, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [1, 1], [1, 1], [0,
0]]]], [[10, 14, 2, 3, 1], [v = 2^(1/2), u = v, x = -1, And(0 < y,y < 1), z <
-(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [741455/
524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 14, 2, 3, 2
], [v = 2^(1/2), u = v, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[10,
14, 2, 3, 3], [v = 2^(1/2), u = v, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 14, 2,
3, 4], [v = 2^(1/2), u = v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[10, 14, 2,
3, 5], [v = 2^(1/2), u = v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 2, 4, 8, 1], [2^(1/2) < v, u
= -(v^2+2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [-1, -1], [2, 2], [0, 0]]]], [[11, 3, 9, 2, 1], [2^
(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1
), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
3398507/1048576, -1699253/524288], [-3, -3]]]], [[11, 3, 9, 2, 2], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-3398507/
1048576, -1699253/524288], [-1655969/1048576, -3311937/2097152]]]], [[11, 3, 9
, 2, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2
-1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1
/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621
/2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [-1/4194304,
-1/4194304]]]], [[11, 3, 9, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/
2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [51749/32768,
1655969/1048576]]]], [[11, 3, 9, 2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [
1566621/2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [3, 3]
]]], [[11, 9, 11, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-6, -6], [-3, -3]]]], [[11, 9,
11, 1, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y
< u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [2, 2], [-6, -6], [-2, -2]]]], [[11, 9, 11, 1, 3], [2^(1
/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y < u^2-v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [2, 2], [-6, -6], [0, 0]]]], [[11, 9, 11, 1, 4],
[2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y < u^2-v^2-x
-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-6, -6], [2, 2]]]], [[11, 9, 11, 1, 5], [2^(1/2) < v, And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [2, 2], [
-6, -6], [3, 3]]]], [[11, 11, 4, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [-9, -9], [-5, -5]]]], [[11, 11, 4,
2, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = u^
2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-\
9, -9], [-3315889/1048576, -207243/65536]]]], [[11, 11, 4, 2, 3], [2^(1/2) < v
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v
^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-1
, -1], [-9, -9], [0, 0]]]], [[11, 11, 4, 2, 4], [2^(1/2) < v, And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-1, -1], [-9, -9], [207243/65536, 3315889/
1048576]]]], [[11, 11, 4, 2, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [0, 0], [-1, -1], [-9, -9], [5, 5]]]], [[11, 15, 7, 2, 1], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [-1322295/1048576, -661147/
524288], [-3, -3]]]], [[11, 15, 7, 2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [-1322295/1048576, -661147/524288], [-1287385/1048576, -\
160923/131072]]]], [[11, 15, 7, 2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-516571/2097152, -516571/2097152], [-1322295/1048576, -661147/
524288], [0, 0]]]], [[11, 15, 7, 2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [-1322295/1048576, -661147/524288], [160923/131072, 1287385/
1048576]]]], [[11, 15, 7, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [-1322295/1048576, -661147/524288], [3, 3]]]], [[11, 17, 3,
8, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -x, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [1307267/1048576, 326817/262144], [-1, -1]
]]], [[11, 17, 3, 8, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [1307267/1048576, 326817
/262144], [0, 0]]]], [[11, 17, 3, 8, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [1307267/
1048576, 326817/262144], [1, 1]]]], [[1, 1, 7, 7, 1], [v < -2^(1/2), u < -(v^2
+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-3, -3], [-5, -5], [1/2, 1/2], [29/4, 29/4], [0, 0]]]], [[1,
3, 1, 3, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u
^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1579107/2097152, 
1579107/2097152], [-3, -3]]]], [[1, 3, 1, 3, 2], [v < -2^(1/2), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576
], [-4, -4], [1579107/2097152, 1579107/2097152], [-3778963/2097152, -7557925/
4194304]]]], [[1, 3, 1, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-4, -4], [1579107/2097152, 1579107/2097152], [-1/8388608, -1/
8388608]]]], [[1, 3, 1, 3, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1579107/2097152, 1579107/2097152], [1889481/1048576, 944741/524288]]]], [[1, 3
, 1, 3, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^
2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1579107/2097152, 1579107
/2097152], [3, 3]]]], [[1, 9, 2, 5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < -2*u^2+2*v^2), z =
z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-\
657547/262144, -5260375/2097152], [5793411/2097152, 5793411/2097152], [0, 0]]]
], [[1, 10, 5, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y
< -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[1, 10, 5, 1, 2], [v <
-2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-4, -4], [-1112183/524288, -2224365/1048576]]]], [[1, 10, 5, 1, 3], [v < -2^(
1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/
1048576], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[1, 10, 5, 1, 4], [v < -2^(1/2),
u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-4, -4], [2224365/1048576, 1112183/524288]]]], [[1, 10, 5, 1, 5], [v < -2^(1/
2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-4, -4], [4, 4]]]], [[1, 14, 7, 4, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(
0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 14, 7, 4, 2], [v
< -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[1, 14, 7, 4, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 16, 1, 4, 1], [v < -2^(1/2
), u = -v, x < -1, y = -1-x, z < -1], [regular_chain, [[-3, -3], [3, 3], [-2,
-2], [1, 1], [-2, -2]]]], [[1, 16, 1, 4, 2], [v < -2^(1/2), u = -v, x < -1, y
= -1-x, z = -1], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [1, 1], [-1, -1]
]]], [[1, 16, 1, 4, 3], [v < -2^(1/2), u = -v, x < -1, y = -1-x, And(-1 < z,z
< 1)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [1, 1], [0, 0]]]], [[1, 16
, 1, 4, 4], [v < -2^(1/2), u = -v, x < -1, y = -1-x, z = 1], [regular_chain, [
[-3, -3], [3, 3], [-2, -2], [1, 1], [1, 1]]]], [[1, 16, 1, 4, 5], [v < -2^(1/2
), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain, [[-3, -3], [3, 3], [-2, -\
2], [1, 1], [2, 2]]]], [[1, 21, 11, 8, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, u
^2-v^2-1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [5, 5], [16, 16], [0,
0], [0, 0]]]], [[2, 2, 3, 4, 1], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
2, -2], [-2, -2], [0, 0], [-3, -3]]]], [[2, 2, 3, 4, 2], [v = -2^(1/2), u = -2
, And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[2, 2, 3, 4, 3], [v = -2^(1/2), u = -2, And(-3 < x,x < -1)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [0, 0], [0, 0]]]], [[2, 2, 3, 4,
4], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [0, 0]
, [741455/524288, 1482911/1048576]]]], [[2, 2, 3, 4, 5], [v = -2^(1/2), u = -2
, And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [0, 0], [3, 3]]]], [[2, 9, 9, 8,
1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [7/8, 7/8],
[0, 0], [0, 0]]]], [[2, 11, 3, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), And(u^2
-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-15/8, -15/8], [0, 0], [-3, -3]]]], [[2, 11, 3, 4
, 2], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = 0, z = -(-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15
/8, -15/8], [0, 0], [-717911/524288, -1435821/1048576]]]], [[2, 11, 3, 4, 3],
[v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/
2, 1/2], [-15/8, -15/8], [0, 0], [0, 0]]]], [[2, 11, 3, 4, 4], [v = -2^(1/2),
And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [0, 0], [1435821/1048576, 717911/524288]]]], [[2, 11, 3, 4, 5], [v = -2^(1/2
), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [0, 0], [3, 3]]]], [[2, 17, 4, 6, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-1, -1], [1, 1], [-1, -1]]]], [[2, 17, 4,
6, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = 1, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-1, -1], [1, 1], [0, 0]]]], [[2, 17, 4, 6, 3], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), x = -1, y = 1, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [1, 1], [1, 1]]
]], [[2, 18, 7, 2, 1], [v = -2^(1/2), u = 2, And(0 < x,x < 1), y = -x-3, z < -
3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1
/2], [-7/2, -7/2], [-3, -3]]]], [[2, 18, 7, 2, 2], [v = -2^(1/2), u = 2, And(0
< x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/
2097152]]]], [[2, 18, 7, 2, 3], [v = -2^(1/2), u = 2, And(0 < x,x < 1), y = -x
-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]],
[[2, 18, 7, 2, 4], [v = -2^(1/2), u = 2, And(0 < x,x < 1), y = -x-3, z = 3^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2],
[-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[2, 18, 7, 2, 5], [v = -2^
(1/2), u = 2, And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]],
[[3, 3, 7, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(0 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[501965/2097152, 501965/2097152], [2, 2], [0, 0]]]], [[3, 5, 3, 5, 1], [And(-2
^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [367677/1048576, 367677/1048576], [-2, -2]]]], [[3, 5
, 3, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2
+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [367677/1048576, 367677/
1048576], [-15766287/16777216, -7883143/8388608]]]], [[3, 5, 3, 5, 3], [And(-2
^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [367677/1048576, 367677/
1048576], [-7/16777216, -7/16777216]]]], [[3, 5, 3, 5, 4], [And(-2^(1/2) < v,v
< -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y
< u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [367677/1048576, 367677/1048576], [61587/65536, 985393/1048576
]]]], [[3, 5, 3, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [367677/1048576, 367677/
1048576], [2, 2]]]], [[3, 11, 4, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [1646781/2097152, 1646781/2097152], [-2, -2]]]], [[3, 11,
4, 7, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, 
And(-u^2+v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [1646781/
2097152, 1646781/2097152], [-485927/1048576, -242963/524288]]]], [[3, 11, 4, 7
, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-u
^2+v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [1646781/2097152, 1646781/2097152], [0, 0]]]], [[3, 11, 4, 7, 4], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 1
), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [1646781/2097152, 1646781/2097152],
[242963/524288, 485927/1048576]]]], [[3, 11, 4, 7, 5], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 1), (1-y)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-1, -1], [1646781/2097152, 1646781/2097152], [2, 2]]]], [[
3, 13, 1, 8, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [3, 3], [-1, -1]]]], [
[3, 13, 1, 8, 2], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x
< -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [3, 3], [0, 0]]]], [[3
, 13, 1, 8, 3], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [3, 3], [1, 1]]]], [[3
, 14, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0
), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/4, -3
/4], [-3, -3]]]], [[3, 14, 5, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1
/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [
[3, 14, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x <
0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[3, 14, 5, 3, 4], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576,
146543/131072]]]], [[3, 14, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(
1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[3, 15, 10, 9, 1], [And(-2^(
1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, 0 < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [1, 1], [1, 1], [0, 0]]]], [[4, 4, 3, 5, 1], [v = -1, u = -2^(
1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [3
/4, 3/4], [-2, -2]]]], [[4, 4, 3, 5, 2], [v = -1, u = -2^(1/2), And(-2 < x,x <
-1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152,
-3632373/4194304]]]], [[4, 4, 3, 5, 3], [v = -1, u = -2^(1/2), And(-2 < x,x <
-1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [3
/4, 3/4], [-1/8388608, -1/8388608]]]], [[4, 4, 3, 5, 4], [v = -1, u = -2^(1/2)
, And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [3/4, 3/4], [908093
/1048576, 454047/524288]]]], [[4, 4, 3, 5, 5], [v = -1, u = -2^(1/2), And(-2 <
x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[4, 5,
9, 6, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -x, z < 0],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
-1/2, -1/2], [-1, -1]]]], [[4, 5, 9, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1),
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 5, 9, 6, 3], [v
= -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
1/2, -1/2], [1, 1]]]], [[4, 10, 5, 6, 1], [v = -1, u = 1, And(0 < x,x < 1), y
= 0, z = z], [regular_chain, [[-1, -1], [1, 1], [1/2, 1/2], [0, 0], [0, 0]]]],
[[4, 12, 1, 6, 1], [v = -1, u = 2^(1/2), x < -2, y = -x, z < 0], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [3, 3],
[-1, -1]]]], [[4, 12, 1, 6, 2], [v = -1, u = 2^(1/2), x < -2, y = -x, z = 0],
[regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [3, 3],
[0, 0]]]], [[4, 12, 1, 6, 3], [v = -1, u = 2^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-3, -3], [3, 3],
[1, 1]]]], [[5, 2, 6, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 0, 
And(0 < y,y < 1), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0],
[1/2, 1/2], [0, 0]]]], [[5, 3, 11, 3, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2]
, [-3388749/1048576, -3388749/1048576], [-3, -3]]]], [[5, 3, 11, 3, 2], [And(-\
1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-
x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576], [-\
1163761/1048576, -72735/65536]]]], [[5, 3, 11, 3, 3], [And(-1 < v,v < 0), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576],
[0, 0]]]], [[5, 3, 11, 3, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [-\
3388749/1048576, -3388749/1048576], [72735/65536, 1163761/1048576]]]], [[5, 3,
11, 3, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 <
x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [2, 2], [-3388749/1048576, -3388749/
1048576], [3, 3]]]], [[5, 11, 10, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [-5, -5]
, [-3, -3]]]], [[5, 11, 10, 1, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [-5, -5], [-2, -2]]]], [
[5, 11, 10, 1, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [1, 1], [-5, -5]
, [0, 0]]]], [[5, 11, 10, 1, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [343151/262144, 343151/262144], [1, 1], [-5, -5], [2, 2]]]], [[5, 
11, 10, 1, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151
/262144, 343151/262144], [1, 1], [-5, -5], [3, 3]]]], [[5, 13, 3, 6, 1], [And(
-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0],
[regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/8], [43/8, 43/8], [-1, -1]]
]], [[5, 13, 3, 6, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 <
x,x < -1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8, -43/
8], [43/8, 43/8], [0, 0]]]], [[5, 13, 3, 6, 3], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1/2, -\
1/2], [3, 3], [-43/8, -43/8], [43/8, 43/8], [1, 1]]]], [[6, 5, 8, 5, 1], [v =
0, And(-1 < u,u < 0), x = 0, And(u^2-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3/8, -3/8], [-2, -2]]]], [[6,
5, 8, 5, 2], [v = 0, And(-1 < u,u < 0), x = 0, And(u^2-1 < y,y < 0), z = -(-y)
^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3/8, -3/8], [-\
1284239/2097152, -642119/1048576]]]], [[6, 5, 8, 5, 3], [v = 0, And(-1 < u,u <
0), x = 0, And(u^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3/8, -3/8], [0, 0]]]], [[6, 5,
8, 5, 4], [v = 0, And(-1 < u,u < 0), x = 0, And(u^2-1 < y,y < 0), z = (-y)^(1/
2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3/8, -3/8], [642119/
1048576, 80265/131072]]]], [[6, 5, 8, 5, 5], [v = 0, And(-1 < u,u < 0), x = 0,
And(u^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2],
[0, 0], [-3/8, -3/8], [2, 2]]]], [[6, 7, 5, 6, 1], [v = 0, And(0 < u,u < 1), 
And(-1 < x,x < u^2-1), y = u^2-x-1, z < -(-u^2+1)^(1/2)], [regular_chain, [[0,
0], [1/2, 1/2], [-7/8, -7/8], [1/8, 1/8], [-2, -2]]]], [[6, 7, 5, 6, 2], [v =
0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = u^2-x-1, z = -(-u^2+1)^(1/2)],
[regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/8, 1/8], [-1816187/
2097152, -3632373/4194304]]]], [[6, 7, 5, 6, 3], [v = 0, And(0 < u,u < 1), And
(-1 < x,x < u^2-1), y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))],
[regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/8, 1/8], [-1/8388608, -1
/8388608]]]], [[6, 7, 5, 6, 4], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1
), y = u^2-x-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/
8, -7/8], [1/8, 1/8], [908093/1048576, 454047/524288]]]], [[6, 7, 5, 6, 5], [v
= 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), y = u^2-x-1, (-u^2+1)^(1/2) < z]
, [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/8, 1/8], [2, 2]]]], [[
6, 11, 8, 2, 1], [v = 0, 2^(1/2) < u, x = 1, y = -u^2-2, z < -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [3, 3], [1, 1], [-11, -11], [-5, -5]]]], [[6, 11, 8,
2, 2], [v = 0, 2^(1/2) < u, x = 1, y = -u^2-2, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [1, 1], [-11, -11], [-3315889/1048576, -207243
/65536]]]], [[6, 11, 8, 2, 3], [v = 0, 2^(1/2) < u, x = 1, y = -u^2-2, And(-(u
^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [3, 3], [1, 1],
[-11, -11], [0, 0]]]], [[6, 11, 8, 2, 4], [v = 0, 2^(1/2) < u, x = 1, y = -u^2
-2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [-11, -11], [
207243/65536, 3315889/1048576]]]], [[6, 11, 8, 2, 5], [v = 0, 2^(1/2) < u, x =
1, y = -u^2-2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [1, 1], [-\
11, -11], [5, 5]]]], [[7, 1, 10, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2],
[-3, -3], [31/4, 31/4], [-31/8, -31/8], [0, 0]]]], [[7, 7, 10, 4, 1], [And(0 <
v,v < 1), And(-v < u,u < v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4], [-2, -2]]]], [[7, 7,
10, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = -u^2+v^2-2, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4],
[-1816187/2097152, -3632373/4194304]]]], [[7, 7, 10, 4, 3], [And(0 < v,v < 1),
And(-v < u,u < v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-
v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4], [-1
/8388608, -1/8388608]]]], [[7, 7, 10, 4, 4], [And(0 < v,v < 1), And(-v < u,u <
v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [0, 0], [1, 1], [-7/4, -7/4], [908093/1048576, 454047/524288]]]], [[7, 7, 10
, 4, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, y = -u^2+v^2-2, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-7/4, -7/4], [2,
2]]]], [[7, 9, 7, 5, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-312209/2097152, -312209/2097152], [-2, -2]]]], [
[7, 9, 7, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-\
1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-312209/2097152, -312209/2097152], [-700759/1048576, -1401517/
2097152]]]], [[7, 9, 7, 5, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-1248837/4194304, -1248837/4194304], [-312209/2097152, -312209/
2097152], [-1/4194304, -1/4194304]]]], [[7, 9, 7, 5, 4], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/2097152, -\
312209/2097152], [350379/524288, 700759/1048576]]]], [[7, 9, 7, 5, 5], [And(0
< v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^
2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/
2097152, -312209/2097152], [2, 2]]]], [[7, 11, 3, 3, 1], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2
+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152
, -767309/2097152], [-3, -3]]]], [[7, 11, 3, 3, 2], [And(0 < v,v < 1), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-\
1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -\
767309/2097152], [-1518679/1048576, -759339/524288]]]], [[7, 11, 3, 3, 3], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x
,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [-767309/2097152, -767309/2097152], [0, 0]]]], [[7
, 11, 3, 3, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576,
-1815885/1048576], [-767309/2097152, -767309/2097152], [759339/524288, 1518679
/1048576]]]], [[7, 11, 3, 3, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-\
1815885/1048576, -1815885/1048576], [-767309/2097152, -767309/2097152], [3, 3]
]]], [[7, 12, 5, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0
), y = -x-3, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1
/2], [-5/2, -5/2], [-3, -3]]]], [[7, 12, 5, 2, 2], [And(0 < v,v < 1), u = (v^2
+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[1/2,
1/2], [3/2, 3/2], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/
2097152]]]], [[7, 12, 5, 2, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 <
x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1/2, 1/2
], [3/2, 3/2], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[7, 
12, 5, 2, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-\
3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [-5/2,
-5/2], [908093/524288, 1816187/1048576]]]], [[7, 12, 5, 2, 5], [And(0 < v,v <
1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]],
[[8, 5, 1, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(-u^2-x < y,y
< u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[8, 5, 1, 5, 2], [v = 1, And
(-2^(1/2) < u,u < -1), x < -u^2, And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
2, 2], [-1, -1]]]], [[8, 5, 1, 5, 3], [v = 1, And(-2^(1/2) < u,u < -1), x < -u
^2, And(-u^2-x < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2]
, [0, 0]]]], [[8, 5, 1, 5, 4], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And
(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [1, 1]]]], [[8, 5, 1, 5,
5], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, And(-u^2-x < y,y < u^2-x-2), (
-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [-3, -3], [2, 2], [2, 2]]]], [[8, 6, 4, 3, 1], [v = 1, u = -1, x = 0, And(-\
1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-1
/2, -1/2], [-2, -2]]]], [[8, 6, 4, 3, 2], [v = 1, u = -1, x = 0, And(-1 < y,y
< 0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [-1, -1], [0, 0], [-1/2, -1/2
], [-1482911/2097152, -741455/1048576]]]], [[8, 6, 4, 3, 3], [v = 1, u = -1, x
= 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[1, 1], [-1, -1], [0, 0], [-1/2, -1/2], [0, 0]]]], [[8, 6, 4, 3, 4], [v = 1,
u = -1, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1, 1], [-\
1, -1], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[8, 6, 4, 3,
5], [v = 1, u = -1, x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain,
[[1, 1], [-1, -1], [0, 0], [-1/2, -1/2], [2, 2]]]], [[8, 11, 4, 9, 1], [v = 1,
And(1 < u,u < 2^(1/2)), x = -1, 1 < y, z = z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1, -1], [2, 2], [0, 0]]]], [[8, 12, 8, 6,
1], [v = 1, u = 2^(1/2), x = 1, y = 0, z = z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [1, 1], [0, 0], [0, 0]]]], [[9, 3, 3, 4, 1],
[And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -\
3647693/2097152], [0, 0], [-3, -3]]]], [[9, 3, 3, 4, 2], [And(1 < v,v < 2^(1/2
)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [0
, 0], [-1382911/1048576, -691455/524288]]]], [[9, 3, 3, 4, 3], [And(1 < v,v <
2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [0, 0], [0, 0]]]], [[9, 3, 3, 4, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [0, 0], [691455/524288, 1382911/1048576]]]], [[9, 3, 3, 4, 5], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -\
3647693/2097152], [0, 0], [3, 3]]]], [[9, 4, 6, 4, 1], [And(1 < v,v < 2^(1/2))
, u = -(v^2+1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0], [0, 0], [-1, -1]
]]], [[9, 4, 6, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y =
0, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/
262144, -3287319/2097152], [0, 0], [0, 0], [0, 0]]]], [[9, 4, 6, 4, 3], [And(1
< v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0],
[0, 0], [1, 1]]]], [[9, 12, 3, 6, 1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 <
x,x < 0), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[9
, 12, 3, 6, 2], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y = -x, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[9, 12, 3, 6, 3], [And
(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2
, -1/2], [1/2, 1/2], [1, 1]]]], [[9, 13, 10, 8, 1], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1, 1], [0, 0],
[0, 0]]]], [[10, 2, 4, 9, 1], [v = 2^(1/2), u = -2, x = -1, 2 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [3, 3],
[0, 0]]]], [[10, 3, 9, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-\
3 < x,x < 1), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511
/524288, 388511/524288], [-4156663/2097152, -4156663/2097152], [-3, -3]]]], [[
10, 3, 9, 3, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1),
And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511/524288, 388511
/524288], [-4156663/2097152, -4156663/2097152], [-4563/4096, -1168127/1048576]
]]], [[10, 3, 9, 3, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,
x < 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [-4156663/2097152, -4156663/2097152]
, [0, 0]]]], [[10, 3, 9, 3, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^
2-3 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [
388511/524288, 388511/524288], [-4156663/2097152, -4156663/2097152], [1168127/
1048576, 4563/4096]]]], [[10, 3, 9, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/
2)), And(u^2-3 < x,x < 1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [388511/524288, 388511/524288], [-4156663/2097152, -4156663/2097152]
, [3, 3]]]], [[10, 8, 5, 7, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0), -x <
y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-1/2,
-1/2], [2, 2], [0, 0]]]], [[10, 9, 10, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0),
x = 1, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2
, -1/2], [1, 1], [1, 1], [0, 0]]]], [[10, 15, 10, 8, 1], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [1, 1], [0, 0], [0, 0]]]], [[10
, 17, 5, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), And(-
x < y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [-1/2, -1/2], [1554043/2097152, 1554043/
2097152], [0, 0]]]], [[10, 18, 8, 7, 1], [v = 2^(1/2), u = 2, x = 1, 0 < y, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [1, 1], [1, 1
], [0, 0]]]], [[11, 1, 1, 8, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^
2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [
33, 33], [0, 0]]]], [[11, 7, 1, 9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [4, 4], [0, 0]]]], [[11, 8, 4, 7, 1], [2
^(1/2) < v, u = -(v^2-1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[3, 3]
, [-2965821/1048576, -11863283/4194304], [-1, -1], [2, 2], [0, 0]]]], [[11, 12
, 7, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -
(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1
/2], [-5, -5], [-4, -4]]]], [[11, 12, 7, 1, 2], [2^(1/2) < v, u = (v^2-2)^(1/2
), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365
/1048576]]]], [[11, 12, 7, 1, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x
< 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-5, -5], [0, 0]]]], [[11, 12,
7, 1, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x
-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2]
, [-5, -5], [2224365/1048576, 1112183/524288]]]], [[11, 12, 7, 1, 5], [2^(1/2)
< v, u = (v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-5, -5], [
4, 4]]]], [[11, 13, 11, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3
, 3], [1435023/524288, 1435023/524288], [2, 2], [-9454681/2097152, -1181835/
262144], [-3, -3]]]], [[11, 13, 11, 2, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-9454681/
2097152, -1181835/262144], [-3321417/2097152, -415177/262144]]]], [[11, 13, 11
, 2, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^
2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-9454681/
2097152, -1181835/262144], [0, 0]]]], [[11, 13, 11, 2, 4], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^
(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-\
9454681/2097152, -1181835/262144], [415177/262144, 1660709/1048576]]]], [[11,
13, 11, 2, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x,
y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [2, 2], [-9454681/2097152, -1181835/262144], [3, 3]]]
], [[11, 20, 2, 1, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, y < 0, z < -(3
-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -\
3], [-1, -1], [-3, -3]]]], [[11, 20, 2, 1, 2], [2^(1/2) < v, u = (v^2+2)^(1/2)
, x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [-3, -3], [-1, -1], [-2, -2]]]], [[11, 20, 2, 1, 3], [2^(1/2)
< v, u = (v^2+2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-3, -3], [-1, -1]
, [0, 0]]]], [[11, 20, 2, 1, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -3, y <
0, z = (3-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288
], [-3, -3], [-1, -1], [2, 2]]]], [[11, 20, 2, 1, 5], [2^(1/2) < v, u = (v^2+2
)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-3, -3], [-1, -1], [3, 3]]]], [[11, 21, 6, 2, 1], [
2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [5, 5], [0, 0], [-17, -17], [-6, -6]]]], [[11, 21,
6, 2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [0, 0], [-17, -17], [-2161695/
524288, -4323389/1048576]]]], [[11, 21, 6, 2, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[3, 3], [5, 5], [0, 0], [-17, -17], [0, 0]]]], [[11, 21, 6,
2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [5, 5], [0, 0], [-17, -17], [4323389/1048576
, 2161695/524288]]]], [[11, 21, 6, 2, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [0
, 0], [-17, -17], [6, 6]]]], [[1, 4, 4, 4, 1], [v < -2^(1/2), u = -(v^2+1)^(1/
2), x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [-3315889/1048576, -\
207243/65536], [-1, -1], [0, 0], [-2, -2]]]], [[1, 4, 4, 4, 2], [v < -2^(1/2),
u = -(v^2+1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [-1, -1], [0, 0], [-1, -1]]]], [[1, 4, 4, 4,
3], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1], [0, 0],
[0, 0]]]], [[1, 4, 4, 4, 4], [v < -2^(1/2), u = -(v^2+1)^(1/2), x = -1, y = 0,
z = 1], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536], [-1, -1]
, [0, 0], [1, 1]]]], [[1, 4, 4, 4, 5], [v < -2^(1/2), u = -(v^2+1)^(1/2), x =
-1, y = 0, 1 < z], [regular_chain, [[-3, -3], [-3315889/1048576, -207243/65536
], [-1, -1], [0, 0], [2, 2]]]], [[1, 5, 10, 3, 1], [v < -2^(1/2), And(-(v^2+1)
^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2)
], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-2, -\
2], [-2, -2]]]], [[1, 5, 10, 3, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-2, -2],
[-1, -1]]]], [[1, 5, 10, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/
2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-2
, -2], [0, 0]]]], [[1, 5, 10, 3, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z = (-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [1, 1], [-2, -2],
[1, 1]]]], [[1, 5, 10, 3, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
= 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[-\
3, -3], [-403851/131072, -403851/131072], [1, 1], [-2, -2], [2, 2]]]], [[1, 11
, 9, 7, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(1 <
x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3,
-3], [0, 0], [9/2, 9/2], [7/4, 7/4], [0, 0]]]], [[1, 13, 3, 5, 1], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [919691/1048576, 919691/
1048576], [-2, -2]]]], [[1, 13, 3, 5, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-919691
/524288, -919691/524288], [919691/1048576, 919691/1048576], [-7856171/8388608,
-3928085/4194304]]]], [[1, 13, 3, 5, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [919691/1048576, 919691/
1048576], [-1/8388608, -1/8388608]]]], [[1, 13, 3, 5, 4], [v < -2^(1/2), And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [919691/1048576, 919691/1048576], [
982021/1048576, 491011/524288]]]], [[1, 13, 3, 5, 5], [v < -2^(1/2), And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288]
, [-919691/524288, -919691/524288], [919691/1048576, 919691/1048576], [2, 2]]]
], [[1, 17, 9, 6, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,
x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 17, 9, 6, 2], [v < -2^(1/
2), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [1/2, 1/2], [-1/2, -\
1/2], [0, 0]]]], [[1, 17, 9, 6, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2
)), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 19, 4, 9, 1]
, [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, u^2-v^2 < y
, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-1,
-1], [3, 3], [0, 0]]]], [[2, 3, 8, 1, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/
2)), x = u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/1048576, 126367/262144], [-4, -4], [-3, -3]]]], [[2, 3, 8, 1, 2], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y < -2*u^2+4, z = -(-u^2-y+3)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [505467/1048576, 126367/262144], [-4, -4], [-7866919/
4194304, -15733837/8388608]]]], [[2, 3, 8, 1, 3], [v = -2^(1/2), And(-2 < u,u
< -3^(1/2)), x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-4, -4], [-5/
16777216, -5/16777216]]]], [[2, 3, 8, 1, 4], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), x = u^2-3, y < -2*u^2+4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [
505467/1048576, 126367/262144], [-4, -4], [1966729/1048576, 983365/524288]]]],
[[2, 3, 8, 1, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y < -2*u
^2+4, (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144]
, [-4, -4], [3, 3]]]], [[2, 5, 3, 6, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), And(-u^2+1 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1297479/1048576, -1297479/1048576], [746709/1048576, 373355/524288], [-2, -2]]
]], [[2, 5, 3, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x
< -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-1297479/1048576, -\
1297479/1048576], [746709/1048576, 373355/524288], [-379975/524288, -1519899/
2097152]]]], [[2, 5, 3, 6, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), And(-u^
2+1 < x,x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [746709/1048576, 
373355/524288], [-1/4194304, -1/4194304]]]], [[2, 5, 3, 6, 4], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1297479/1048576, -1297479/1048576], [746709/1048576, 
373355/524288], [759949/1048576, 379975/524288]]]], [[2, 5, 3, 6, 5], [v = -2^
(1/2), And(-3^(1/2) < u,u < v), And(-u^2+1 < x,x < -1), y = u^2-x-3, (-u^2+3)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1297479/1048576, -1297479/1048576], [746709/
1048576, 373355/524288], [2, 2]]]], [[2, 6, 7, 4, 1], [v = -2^(1/2), u = v, 1
< x, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1, -1]]]], [[2, 6, 7, 4,
2], [v = -2^(1/2), u = v, 1 < x, y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1482911/1048576, -741455/524288], [2, 2], [-2, -2]
, [0, 0]]]], [[2, 6, 7, 4, 3], [v = -2^(1/2), u = v, 1 < x, y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1482911/1048576, -741455
/524288], [2, 2], [-2, -2], [1, 1]]]], [[2, 8, 3, 6, 1], [v = -2^(1/2), u = -1
, And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[2, 8, 3, 6,
2], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y = -x, z = 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2], [3/2, 3/2], [0, 0
]]]], [[2, 8, 3, 6, 3], [v = -2^(1/2), u = -1, And(-2 < x,x < -1), y = -x, 0 <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [-3/2, -3/2
], [3/2, 3/2], [1, 1]]]], [[2, 14, 1, 1, 1], [v = -2^(1/2), u = -v, x < -1, y
< 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[2, 14, 1,
1, 2], [v = -2^(1/2), u = -v, x < -1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[2, 14
, 1, 1, 3], [v = -2^(1/2), u = -v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[2
, 14, 1, 1, 4], [v = -2^(1/2), u = -v, x < -1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[2, 14, 1,
1, 5], [v = -2^(1/2), u = -v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-2,
-2], [-1, -1], [3, 3]]]], [[2, 15, 9, 4, 1], [v = -2^(1/2), And(-v < u,u < 3^(
1/2)), And(0 < x,x < 1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1
/2], [-1075059/1048576, -537529/524288], [-2, -2]]]], [[2, 15, 9, 4, 2], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = u^2-x-3, z = -(-u^2+3
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [1/2, 1/2], [-1075059/1048576, -537529/524288], [-\
1519901/2097152, -379975/524288]]]], [[2, 15, 9, 4, 3], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(0 < x,x < 1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (
-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [1/2, 1/2], [-1075059/1048576, -537529/524288], [0
, 0]]]], [[2, 15, 9, 4, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,
x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [1/2, 1/2], [-1075059/
1048576, -537529/524288], [379975/524288, 759951/1048576]]]], [[2, 15, 9, 4, 5
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(0 < x,x < 1), y = u^2-x-3, (-u^
2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [1/2, 1/2], [-1075059/1048576, -537529/524288], [2
, 2]]]], [[2, 19, 11, 7, 1], [v = -2^(1/2), 2 < u, u^2-3 < x, And(u^2-x-3 < y,
y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3, 3], [
7, 7], [-1/2, -1/2], [0, 0]]]], [[3, 2, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u
= -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[3, 2, 3, 3, 2], [And(
-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-2, -2], [-1/2, -1/2], [-3315889/
2097152, -207243/131072]]]], [[3, 2, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[3, 2,
3, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), 
And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-1/2, -1/2]
, [207243/131072, 1657945/1048576]]]], [[3, 2, 3, 3, 5], [And(-2^(1/2) < v,v <
-1), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[3, 8, 3, 4, 1], [And
(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[3, 8, 3, 4, 2],
[And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877
/2097152, -354469/524288], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/
524288]]]], [[3, 8, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 
And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [0, 0], [0, 0]]]], [[3, 8, 3, 4, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[3
, 8, 3, 4, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-2 < x,x < -\
1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [-3/2, -3/2], [0, 0], [3, 3]]]],
[[3, 9, 9, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-x < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [1527887/2097152
, 1527887/2097152], [-2097153/4194304, -2097153/4194304], [0, 0]]]], [[3, 17,
4, 6, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = -1, y = 1, z < 0],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-1, -1], [1, 1
], [-1, -1]]]], [[3, 17, 4, 6, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) <
u, x = -1, y = 1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[3, 17, 4, 6, 3], [And(-2^(1/2) < v,v
< -1), (v^2+2)^(1/2) < u, x = -1, y = 1, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[4, 1, 7, 2,
1], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y = -u^2-x, z < u], [
regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-19/2, -19/2], [-4, -4]]]], [
[4, 1, 7, 2, 2], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y = -u^2-x, z = u],
[regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-19/2, -19/2], [-3, -3]]]],
[[4, 1, 7, 2, 3], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y = -u^2-x, And(u <
z,z < -u)], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-19/2, -19/2], [
0, 0]]]], [[4, 1, 7, 2, 4], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y = -u^2-
x, z = -u], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-19/2, -19/2], [
3, 3]]]], [[4, 1, 7, 2, 5], [v = -1, u < -3^(1/2), And(0 < x,x < 1), y = -u^2-
x, -u < z], [regular_chain, [[-1, -1], [-3, -3], [1/2, 1/2], [-19/2, -19/2], [
4, 4]]]], [[4, 7, 6, 4, 1], [v = -1, And(-1 < u,u < 0), x = -u^2, y = 0, z < u
], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0], [-2, -2]]]],
[[4, 7, 6, 4, 2], [v = -1, And(-1 < u,u < 0), x = -u^2, y = 0, z = u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0], [-1/2, -1/2]]]],
[[4, 7, 6, 4, 3], [v = -1, And(-1 < u,u < 0), x = -u^2, y = 0, And(u < z,z < -
u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0], [0, 0]]]],
[[4, 7, 6, 4, 4], [v = -1, And(-1 < u,u < 0), x = -u^2, y = 0, z = -u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0], [1/2, 1/2]]]], [
[4, 7, 6, 4, 5], [v = -1, And(-1 < u,u < 0), x = -u^2, y = 0, -u < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1/4, -1/4], [0, 0], [2, 2]]]], [[4,
9, 1, 9, 1], [v = -1, And(0 < u,u < 1), x < u^2-2, -x < y, z = z], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [4, 4], [0, 0]]]], [[4, 13, 8,
3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y <
-u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [497805/1048576, 248903/524288], [-57449107/33554432, -\
57449107/33554432], [-3, -3]]]], [[4, 13, 8, 3, 2], [v = -1, And(2^(1/2) < u,u
< 3^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [497805/1048576,
248903/524288], [-57449107/33554432, -57449107/33554432], [-145801/131072, -\
1166407/1048576]]]], [[4, 13, 8, 3, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y
+2)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
497805/1048576, 248903/524288], [-57449107/33554432, -57449107/33554432], [0,
0]]]], [[4, 13, 8, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, 
And(-2*u^2+2 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-\
57449107/33554432, -57449107/33554432], [1166407/1048576, 145801/131072]]]], [
[4, 13, 8, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(-2*u^2
+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [3299097
/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-57449107/
33554432, -57449107/33554432], [3, 3]]]], [[4, 15, 1, 8, 1], [v = -1, 3^(1/2)
< u, x < -u^2, y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [3, 3], [-10, -\
10], [17, 17], [0, 0]]]], [[5, 5, 6, 5, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(
1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-624419/1048576, -1248837/2097152], [312209/1048576, 312209/1048576], [-2, -2
]]]], [[5, 5, 6, 5, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x =
u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [312209/1048576, 312209/1048576], [-1144335/
2097152, -572167/1048576]]]], [[5, 5, 6, 5, 3], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-
y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [
312209/1048576, 312209/1048576], [0, 0]]]], [[5, 5, 6, 5, 4], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z
= (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/1048576, 312209
/1048576], [572167/1048576, 71521/131072]]]], [[5, 5, 6, 5, 5], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1),
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/1048576, 312209
/1048576], [2, 2]]]], [[5, 7, 3, 8, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [0,
0], [-9/8, -9/8], [9/8, 9/8], [-1, -1]]]], [[5, 7, 3, 8, 2], [And(-1 < v,v < 0
), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [9/8, 9/8], [0, 0]]]], [[5
, 7, 3, 8, 3], [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1
), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [9/8,
9/8], [1, 1]]]], [[5, 9, 1, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^
(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [1696631/2097152, 1696631/2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[5,
9, 1, 1, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1
, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [-3, -3], [-1, -1], [-2, -2]]]], [[5, 9, 1, 1, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[5, 9, 1, 1, 4], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3
], [-1, -1], [2, 2]]]], [[5, 9, 1, 1, 5], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-1, -1], [3, 3]]]], [
[5, 10, 4, 3, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y
< 0), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[5, 10, 4, 3, 2], [And(-\
1 < v,v < 0), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1
/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[5, 10, 4, 3, 3], [And(-1 <
v,v < 0), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[5, 10, 4, 3, 4], [And(-1 < v,v <
0), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1/
2, -1/2], [642119/524288, 1284239/1048576]]]], [[5, 10, 4, 3, 5], [And(-1 < v,
v < 0), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [-1, -1], [-1/
2, -1/2], [3, 3]]]], [[6, 2, 8, 3, 1], [v = 0, u = -2^(1/2), x = 1, And(-4 < y
,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[6, 2, 8, 3, 2], [v = 0, u
= -2^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[0
, 0], [-1482911/1048576, -741455/524288], [1, 1], [-5/2, -5/2], [-1284239/
1048576, -642119/524288]]]], [[6, 2, 8, 3, 3], [v = 0, u = -2^(1/2), x = 1, 
And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [-5/2, -5/2], [0, 0]]]],
[[6, 2, 8, 3, 4], [v = 0, u = -2^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^
(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [1, 1], [
-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [[6, 2, 8, 3, 5], [v = 0, u
= -2^(1/2), x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [1, 1], [-5/2, -5/2], [3, 3]]]], [[6,
4, 2, 1, 1], [v = 0, u = -1, x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [-2, -2], [-1, -1], [-3, -3]]]], [[6, 4, 2, 1, 2], [v = 0,
u = -1, x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [
-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[6, 4, 2, 1, 3],
[v = 0, u = -1, x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]
]]], [[6, 4, 2, 1, 4], [v = 0, u = -1, x = -2, y < 0, z = (2-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [-2, -2], [-1, -1], [908093/524288, 1816187/
1048576]]]], [[6, 4, 2, 1, 5], [v = 0, u = -1, x = -2, y < 0, (2-y)^(1/2) < z]
, [regular_chain, [[0, 0], [-1, -1], [-2, -2], [-1, -1], [3, 3]]]], [[6, 9, 1,
2, 1], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [0, 0],
[-3, -3]]]], [[6, 9, 1, 2, 2], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y =
0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-4, -4], [0, 0], [-2, -2]]]], [[6, 9, 1, 2, 3], [v = 0, And(1 < u,u
< 2^(1/2)), x < -u^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [0, 0],
[0, 0]]]], [[6, 9, 1, 2, 4], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, y = 0
, z = (-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576]
, [-4, -4], [0, 0], [2, 2]]]], [[6, 9, 1, 2, 5], [v = 0, And(1 < u,u < 2^(1/2)
), x < -u^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-4, -4], [0, 0], [3, 3]]]], [[6, 10, 3, 7, 1], [v
= 0, u = 2^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [-2, -2], [5/2, 5/2]
, [0, 0]]]], [[7, 4, 8, 2, 1], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, y
= -3, z < -2^(1/2)], [regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/
1048576], [1, 1], [-3, -3], [-3, -3]]]], [[7, 4, 8, 2, 2], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[7, 4, 8, 2, 3], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x
= 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1/2, 1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-3, -3], [0, 0]]]], [[7, 4, 8, 2, 4
], [And(0 < v,v < 1), u = -(v^2+1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[1/2, 1/2], [-146543/131072, -1172343/1048576], [1, 1], [-3, -\
3], [741455/524288, 1482911/1048576]]]], [[7, 4, 8, 2, 5], [And(0 < v,v < 1),
u = -(v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-146543/131072, -1172343/1048576], [1, 1], [-3, -3], [3, 3]]]], [[7, 6, 2, 2,
1], [And(0 < v,v < 1), u = -v, x = -1, y = 0, z < -1], [regular_chain, [[1/2,
1/2], [-1/2, -1/2], [-1, -1], [0, 0], [-2, -2]]]], [[7, 6, 2, 2, 2], [And(0 <
v,v < 1), u = -v, x = -1, y = 0, z = -1], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [-1, -1], [0, 0], [-1, -1]]]], [[7, 6, 2, 2, 3], [And(0 < v,v < 1), u =
-v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-1/2, -1/
2], [-1, -1], [0, 0], [0, 0]]]], [[7, 6, 2, 2, 4], [And(0 < v,v < 1), u = -v,
x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [0
, 0], [1, 1]]]], [[7, 6, 2, 2, 5], [And(0 < v,v < 1), u = -v, x = -1, y = 0, 1
< z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [-1, -1], [0, 0], [2, 2]]]],
[[7, 13, 10, 1, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -\
2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[31/4, 31/4], [-19, -19], [-5, -5]]]], [[7, 13, 10, 1, 2], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-19, -19], [-3517031/
1048576, -1758515/524288]]]], [[7, 13, 10, 1, 3], [And(0 < v,v < 1), (v^2+2)^(
1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (
-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [31/4, 31/4], [-19
, -19], [0, 0]]]], [[7, 13, 10, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
= u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [3, 3], [31/4, 31/4], [-19, -19], [1758515/524288, 3517031/1048576]]]
], [[7, 13, 10, 1, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y
< -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3]
, [31/4, 31/4], [-19, -19], [5, 5]]]], [[8, 2, 1, 2, 1], [v = 1, u = -3^(1/2),
x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [-4, -4], [0, 0], [-3, -3]]]], [[8, 2, 1, 2, 2], [v = 1, u =
-3^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[8, 2, 1, 2, 3], [
v = 1, u = -3^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4], [0, 0]
, [0, 0]]]], [[8, 2, 1, 2, 4], [v = 1, u = -3^(1/2), x < -3, y = 0, z = (-x)^(
1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [-4, -4]
, [0, 0], [2, 2]]]], [[8, 2, 1, 2, 5], [v = 1, u = -3^(1/2), x < -3, y = 0, (-
x)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[-4, -4], [0, 0], [3, 3]]]], [[8, 8, 1, 3, 1], [v = 1, u = 0, x < -2, And(0 <
y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [1
/2, 1/2], [-3, -3]]]], [[8, 8, 1, 3, 2], [v = 1, u = 0, x < -2, And(0 < y,y <
-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [-3, -3], [1/2, 1/
2], [-3315889/2097152, -207243/131072]]]], [[8, 8, 1, 3, 3], [v = 1, u = 0, x
< -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [0, 0], [-3, -3], [1/2, 1/2], [0, 0]]]], [[8, 8, 1, 3,
4], [v = 1, u = 0, x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/
1048576]]]], [[8, 8, 1, 3, 5], [v = 1, u = 0, x < -2, And(0 < y,y < -x-2), (-x
-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [-3, -3], [1/2, 1/2], [3, 3]]
]], [[8, 9, 7, 4, 1], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y = -u^2-
x, z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-1/8, -1/8], [
-2, -2]]]], [[8, 9, 7, 4, 2], [v = 1, And(0 < u,u < 1), And(-u^2 < x,x < 0), y
= -u^2-x, z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [-1/8, -1/8], [-1/8, -\
1/8], [-1/2, -1/2]]]], [[8, 9, 7, 4, 3], [v = 1, And(0 < u,u < 1), And(-u^2 <
x,x < 0), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2],
[-1/8, -1/8], [-1/8, -1/8], [0, 0]]]], [[8, 9, 7, 4, 4], [v = 1, And(0 < u,u <
1), And(-u^2 < x,x < 0), y = -u^2-x, z = u], [regular_chain, [[1, 1], [1/2, 1/
2], [-1/8, -1/8], [-1/8, -1/8], [1/2, 1/2]]]], [[8, 9, 7, 4, 5], [v = 1, And(0
< u,u < 1), And(-u^2 < x,x < 0), y = -u^2-x, u < z], [regular_chain, [[1, 1],
[1/2, 1/2], [-1/8, -1/8], [-1/8, -1/8], [2, 2]]]], [[8, 14, 2, 7, 1], [v = 1,
u = 3^(1/2), x = -3, 4 < y, z = z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [-3, -3], [5, 5], [0, 0]]]], [[8, 15, 7, 1, 1], [v = 1, 3^(1
/2) < u, And(0 < x,x < 1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [3, 3], [1/2, 1/2], [-11, -11], [-5, -5]]]], [[8, 15, 7, 1, 2], [v = 1,
3^(1/2) < u, And(0 < x,x < 1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [3, 3], [1/2, 1/2], [-11, -11], [-3397775/1048576, -1698887/524288]]]
], [[8, 15, 7, 1, 3], [v = 1, 3^(1/2) < u, And(0 < x,x < 1), y < -u^2-x, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3, 3], [1/2, 1/
2], [-11, -11], [0, 0]]]], [[8, 15, 7, 1, 4], [v = 1, 3^(1/2) < u, And(0 < x,x
< 1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [1/2, 1/
2], [-11, -11], [1698887/524288, 3397775/1048576]]]], [[8, 15, 7, 1, 5], [v =
1, 3^(1/2) < u, And(0 < x,x < 1), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [1/2, 1/2], [-11, -11], [5, 5]]]], [[9, 6, 1,
4, 1], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = -1-x, z < -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[9, 6, 1, 4, 2], [And(1 < v,
v < 2^(1/2)), u = -v, x < -1, y = -1-x, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1,
1], [-1, -1]]]], [[9, 6, 1, 4, 3], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y
= -1-x, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [0, 0]]]], [[9, 6,
1, 4, 4], [And(1 < v,v < 2^(1/2)), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1, 1], [1, 1]]]], [[9, 6, 1, 4, 5], [And(1 < v,v
< 2^(1/2)), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1,
1], [2, 2]]]], [[9, 7, 9, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2
-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [-25165823/16777216, -25165823/
16777216], [-2, -2]]]], [[9, 7, 9, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,
u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [1/2, 1/2], [-25165823/16777216, -25165823
/16777216], [-33554431/33554432, -17592185520127/17592186044416]]]], [[9, 7, 9
, 3, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x
< 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [1/2, 1/2], [-25165823/16777216, -25165823/
16777216], [-16252927/35184372088832, -16252927/35184372088832]]]], [[9, 7, 9,
3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [1/
2, 1/2], [-25165823/16777216, -25165823/16777216], [1048575/1048576, 1]]]], [[
9, 7, 9, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(0
< x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [1/2, 1/2], [-25165823/16777216, -25165823/16777216], [2, 2]
]]], [[9, 9, 4, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [-1, -1], [3, 3], [0, 0]]]], [[9, 10, 8, 6, 1], [And
(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = 1, y = 0, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [1, 1],
[0, 0], [0, 0]]]], [[9, 16, 9, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [121853/65536, 1949649/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[9
, 16, 9, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z
= -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152
]]]], [[9, 16, 9, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), 1 < x, y
= -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-5, -5], [-1/
4194304, -1/4194304]]]], [[9, 16, 9, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+
2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-5, -5], [908093/
524288, 1816187/1048576]]]], [[9, 16, 9, 2, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-5, -5], [3, 3]]
]], [[10, 1, 2, 1, 1], [v = 2^(1/2), u < -2, x = -u^2+1, y < 0, z < -(u^2-y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8]
, [-1, -1], [-4, -4]]]], [[10, 1, 2, 1, 2], [v = 2^(1/2), u < -2, x = -u^2+1,
y < 0, z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [-8, -8], [-1, -1], [-3, -3]]]], [[10, 1, 2, 1, 3], [v = 2^(1/2),
u < -2, x = -u^2+1, y < 0, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-8, -8], [-1, -1]
, [0, 0]]]], [[10, 1, 2, 1, 4], [v = 2^(1/2), u < -2, x = -u^2+1, y < 0, z = (
u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[-8, -8], [-1, -1], [3, 3]]]], [[10, 1, 2, 1, 5], [v = 2^(1/2), u < -2, x = -u
^2+1, y < 0, (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-8, -8], [-1, -1], [4, 4]]]], [[10, 5, 5, 1, 1], [v = 2^(
1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y < -u^2-x+1, z < -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [-2, -2], [-3,
-3]]]], [[10, 5, 5, 1, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,
x < u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [-2, -2], [-3485709/2097152, -871427/524288]]]], [[10, 5, 5,
1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y < -u^2
-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [-2, -2], [0, 0]]]], [[10, 5, 5, 1, 4], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y < -u^2-x+1, z = (-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-799673/1048576, -799673/1048576], [-2, -2], [871427/524288
, 1742855/1048576]]]], [[10, 5, 5, 1, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(-1 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [-2, -2], [3, 3]]]], [[10, 7, 1, 7, 1], [v =
2^(1/2), And(-v < u,u < -1), x < u^2-3, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-3, -3], [2906073/1048576, 2906073/1048576], [-2, -2]]]],
[[10, 7, 1, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(-u^2-x+1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [2906073/1048576, 
2906073/1048576], [-501295/1048576, -250647/524288]]]], [[10, 7, 1, 7, 3], [v
= 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(-u^2-x+1 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-3, -3], [2906073/1048576, 
2906073/1048576], [0, 0]]]], [[10, 7, 1, 7, 4], [v = 2^(1/2), And(-v < u,u < -\
1), x < u^2-3, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-3, -3
], [2906073/1048576, 2906073/1048576], [250647/524288, 501295/1048576]]]], [[
10, 7, 1, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), x < u^2-3, And(-u^2-x+1 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [-3, -3], [2906073/1048576, 2906073/
1048576], [2, 2]]]], [[10, 12, 9, 1, 1], [v = 2^(1/2), u = 1, 1 < x, y < -x-2,
z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1],
[2, 2], [-5, -5], [-3, -3]]]], [[10, 12, 9, 1, 2], [v = 2^(1/2), u = 1, 1 < x,
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1, 1], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[10, 12
, 9, 1, 3], [v = 2^(1/2), u = 1, 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2
], [-5, -5], [-1/4194304, -1/4194304]]]], [[10, 12, 9, 1, 4], [v = 2^(1/2), u
= 1, 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]
], [[10, 12, 9, 1, 5], [v = 2^(1/2), u = 1, 1 < x, y < -x-2, (-x-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [2, 2], [-5, -5],
[3, 3]]]], [[10, 14, 2, 4, 1], [v = 2^(1/2), u = v, x = -1, y = 1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [-1, -1], [1, 1], [-1, -1]]]], [[10, 14, 2, 4, 2], [v = 2^(1/2), u =
v, x = -1, y = 1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [-1, -1], [1, 1], [0, 0]]]], [[10, 14, 2, 4,
3], [v = 2^(1/2), u = v, x = -1, y = 1, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [-1, -1], [1, 1],
[1, 1]]]], [[11, 2, 4, 9, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x = -1, 2 < y,
z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-1, -1]
, [3, 3], [0, 0]]]], [[11, 3, 9, 3, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[1566621/2097152, 1566621/2097152], [-8363633/4194304, -8363633/4194304], [-3,
-3]]]], [[11, 3, 9, 3, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-8363633/4194304, -8363633/4194304], [-1170947/
1048576, -585473/524288]]]], [[11, 3, 9, 3, 3], [2^(1/2) < v, And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
8363633/4194304, -8363633/4194304], [0, 0]]]], [[11, 3, 9, 3, 4], [2^(1/2) < v
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u
^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-8363633/
4194304, -8363633/4194304], [585473/524288, 1170947/1048576]]]], [[11, 3, 9, 3
, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[3, 3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [-8363633/4194304, -8363633/4194304], [3, 3]]]], [[11, 9, 10, 9, 1],
[2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, 0 < y, z = z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [1, 1], [1,
1], [0, 0]]]], [[11, 11, 4, 1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v
^2-2)^(1/2)), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [-1, -1], [-10, -10], [-5, -5]]]], [[11, 11, 4, 1, 2], [2^(1/2) < v, 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y < u^2-v^2, z = -(1-y)^(1/
2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-10, -10], [-1738867/524288,
-3477733/1048576]]]], [[11, 11, 4, 1, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-10, -10], [0, 0]]]], [[11, 11
, 4, 1, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y
< u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-10,
-10], [3477733/1048576, 1738867/524288]]]], [[11, 11, 4, 1, 5], [2^(1/2) < v,
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y < u^2-v^2, (1-y)^(1/2) <
z], [regular_chain, [[3, 3], [0, 0], [-1, -1], [-10, -10], [5, 5]]]], [[11, 15
, 7, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x <
0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152
], [-1580581/2097152, -1580581/2097152], [-2, -2]]]], [[11, 15, 7, 3, 2], [2^(
1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2
-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
1580581/2097152, -1580581/2097152], [-1, -1]]]], [[11, 15, 7, 3, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152,
-516571/2097152], [-1580581/2097152, -1580581/2097152], [0, 0]]]], [[11, 15, 7
, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0)
, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[
3, 3], [6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152],
[-1580581/2097152, -1580581/2097152], [1, 1]]]], [[11, 15, 7, 3, 5], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/
2097152, -1580581/2097152], [2, 2]]]], [[11, 17, 3, 9, 1], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), -x < y, z = z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [3, 3], [0, 0]]]], [[1, 1, 7, 6, 1], [v < -2^(1/2), u < -(v^
2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [-5, -\
5], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 3, 1, 2, 1], [v < -2^(1/2), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4, -4], [0,
0], [-3, -3]]]], [[1, 3, 1, 2, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[1,
3, 1, 2, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u
^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -\
3], [-3396811/1048576, -3396811/1048576], [-4, -4], [0, 0], [0, 0]]]], [[1, 3,
1, 2, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+
v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [0, 0], [2, 2]]]], [[1, 3, 1, 2, 5], [v < -2^(1/2)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2
) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-4,
-4], [0, 0], [3, 3]]]], [[1, 9, 2, 6, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = z], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375
/2097152], [3163223/1048576, 395403/131072], [0, 0]]]], [[1, 10, 5, 2, 1], [v
< -2^(1/2), u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-5/2, -5/2], [-3, -3]]]], [[1, 10, 5, 2, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2
), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1816187/
1048576, -3632373/2097152]]]], [[1, 10, 5, 2, 3], [v < -2^(1/2), u = -(v^2-2)^
(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2],
[-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[1, 10, 5, 2, 4], [v < -2^(1/2), u
= -(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [
[-3, -3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-5/2, -5/2], [
908093/524288, 1816187/1048576]]]], [[1, 10, 5, 2, 5], [v < -2^(1/2), u = -(v^
2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[-3, -\
3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]
], [[1, 14, 7, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(
-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[1, 14, 7, 3
, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[1, 14, 7, 3, 3], [v < -2^(1
/2), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 2965821
/1048576], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[1, 14, 7, 3, 4], [v < -2^(1/
2), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [
-3/2, -3/2], [1, 1]]]], [[1, 14, 7, 3, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), 
And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
3, -3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]],
[[1, 16, 1, 3, 1], [v < -2^(1/2), u = -v, x < -1, And(0 < y,y < -1-x), z < -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [1/2, 1/2], [-3, -3]
]]], [[1, 16, 1, 3, 2], [v < -2^(1/2), u = -v, x < -1, And(0 < y,y < -1-x), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [1/2, 1/2], [-\
1284239/1048576, -642119/524288]]]], [[1, 16, 1, 3, 3], [v < -2^(1/2), u = -v,
x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3, 3], [-2, -2], [1/2, 1/2], [0, 0]]]], [[1, 16, 1,
3, 4], [v < -2^(1/2), u = -v, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)],
[regular_chain, [[-3, -3], [3, 3], [-2, -2], [1/2, 1/2], [642119/524288, 
1284239/1048576]]]], [[1, 16, 1, 3, 5], [v < -2^(1/2), u = -v, x < -1, And(0 <
y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [-2, -2], [
1/2, 1/2], [3, 3]]]], [[1, 21, 11, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, u^
2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [5, 5], [16, 16], [1, 1
], [0, 0]]]], [[2, 2, 3, 5, 1], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And
(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [-2, -2], [1, 1], [-2, -2]]]], [[2, 2, 3, 5, 2], [v
= -2^(1/2), u = -2, And(-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [1, 1
], [-1, -1]]]], [[2, 2, 3, 5, 3], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), 
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [-2, -2], [1, 1], [0, 0]]]], [[2
, 2, 3, 5, 4], [v = -2^(1/2), u = -2, And(-3 < x,x < -1), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2]
, [-2, -2], [1, 1], [1, 1]]]], [[2, 2, 3, 5, 5], [v = -2^(1/2), u = -2, And(-3
< x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [-2, -2], [1, 1], [2, 2]]]], [[2, 9, 9, 7,
1], [v = -2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,
y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1
/2], [7/8, 7/8], [-1/16, -1/16], [0, 0]]]], [[2, 11, 3, 3, 1], [v = -2^(1/2),
And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8
, -15/8], [-7/16, -7/16], [-3, -3]]]], [[2, 11, 3, 3, 2], [v = -2^(1/2), And(0
< u,u < 1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8
], [-7/16, -7/16], [-24915/16384, -3189119/2097152]]]], [[2, 11, 3, 3, 3], [v
= -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [-15/8, -15/8], [-7/16, -7/16], [-1/4194304, -1/
4194304]]]], [[2, 11, 3, 3, 4], [v = -2^(1/2), And(0 < u,u < 1), And(u^2-3 < x
,x < -1), And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8], [-7/16, -7/16],
[1594559/1048576, 24915/16384]]]], [[2, 11, 3, 3, 5], [v = -2^(1/2), And(0 < u
,u < 1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-15/8, -15/8]
, [-7/16, -7/16], [3, 3]]]], [[2, 17, 4, 7, 1], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), x = -1, And(1 < y,y < u^2-2), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-1, -1], [
2602619/2097152, 2602619/2097152], [0, 0]]]], [[2, 18, 7, 3, 1], [v = -2^(1/2)
, u = 2, And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-2, -\
2], [-3, -3]]]], [[2, 18, 7, 3, 2], [v = -2^(1/2), u = 2, And(0 < x,x < 1), 
And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/
524288]]]], [[2, 18, 7, 3, 3], [v = -2^(1/2), u = 2, And(0 < x,x < 1), And(-x-\
3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[2
, 18, 7, 3, 4], [v = -2^(1/2), u = 2, And(0 < x,x < 1), And(-x-3 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2]
, [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[2, 18, 7, 3, 5]
, [v = -2^(1/2), u = 2, And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [1/2, 1/2], [
-2, -2], [3, 3]]]], [[3, 3, 7, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [501965/2097152, 501965/2097152], [250983/1048576, 31373/
131072], [0, 0]]]], [[3, 5, 3, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [0, 0], [-3, -3]]]], [[3,
5, 3, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^
2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [0, 0], [-1164705/1048576, -36397/32768]]]], [[3, 5,
3, 4, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v
^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-646847/524288, -646847/524288], [0, 0], [0, 0]]]], [[3, 5, 3, 4, 4], [And(-2^
(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [0, 0]
, [36397/32768, 1164705/1048576]]]], [[3, 5, 3, 4, 5], [And(-2^(1/2) < v,v < -\
1), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [0, 0], [3, 3]]]
], [[3, 11, 4, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v)
, x = -1, y = 1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [987341/1048576, 987341/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[3, 11, 4,
8, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 1
, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [1, 1], [0, 0]]]], [[3, 11, 4, 8, 3], [And
(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [1, 1], [1, 1]]]], [[3, 13, 1, 9, 1], [And(-2^(1/2) < v,v
< -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [4, 4], [0, 0]]]], [[3, 14, 5, 4, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 14, 5, 4, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]],
[[3, 14, 5, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(-1 < x,x
< 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [0
, 0], [0, 0]]]], [[3, 14, 5, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/
2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [-1/2, -1/2], [0
, 0], [741455/1048576, 46341/65536]]]], [[3, 14, 5, 4, 5], [And(-2^(1/2) < v,v
< -1), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [-1/2, -1/2], [0, 0], [2, 2]]]], [[3, 15, 11, 1, 1], [And(-2^(1/2) <
v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [2, 2], [-6, -6], [-3, -3]]]], [[3, 15, 11, 1,
2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x
, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-6, -6], [-2, -2]]]
], [[3, 15, 11, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [2, 2], [-6, -6], [0, 0]]]], [[3, 15, 11, 1, 4], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1
, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [2, 2], [-6, -6], [2, 2]]]], [[3, 15, 11, 1, 5]
, [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x,
y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-6, -6], [3, 3]]]],
[[4, 4, 3, 4, 1], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^
(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2,
-3/2], [0, 0], [-3, -3]]]], [[4, 4, 3, 4, 2], [v = -1, u = -2^(1/2), And(-2 <
x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/
524288]]]], [[4, 4, 3, 4, 3], [v = -1, u = -2^(1/2), And(-2 < x,x < -1), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [-3/2, -3/2], [0, 0], [0, 0]]]], [[4, 4, 3, 4, 4], [
v = -1, u = -2^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [0
, 0], [642119/524288, 1284239/1048576]]]], [[4, 4, 3, 4, 5], [v = -1, u = -2^(
1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [
-1482911/1048576, -741455/524288], [-3/2, -3/2], [0, 0], [3, 3]]]], [[4, 5, 9,
5, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(u^2-x-2 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1617841/2097152, -1617841/2097152], [-2, -2]]]
], [[4, 5, 9, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(
u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-1617841/2097152, -1617841/2097152],
[-273157/524288, -1092627/2097152]]]], [[4, 5, 9, 5, 3], [v = -1, And(-2^(1/2)
< u,u < -1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-1617841/2097152, -1617841/2097152], [-1/4194304, -1/
4194304]]]], [[4, 5, 9, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(0 < x,x
< 1), And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1617841/2097152, -1617841/
2097152], [546313/1048576, 273157/524288]]]], [[4, 5, 9, 5, 5], [v = -1, And(-
2^(1/2) < u,u < -1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2
], [-1617841/2097152, -1617841/2097152], [2, 2]]]], [[4, 10, 5, 7, 1], [v = -1
, u = 1, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1, -1], [1, 1], [
1/2, 1/2], [1, 1], [0, 0]]]], [[4, 12, 1, 7, 1], [v = -1, u = 2^(1/2), x < -2,
-x < y, z = z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [
-3, -3], [4, 4], [0, 0]]]], [[5, 2, 6, 4, 1], [And(-1 < v,v < 0), u = -(v^2+2)
^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0,
0], [0, 0], [-1, -1]]]], [[5, 2, 6, 4, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1
/2), x = 0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0]
, [0, 0], [0, 0]]]], [[5, 2, 6, 4, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
x = 0, y = 0, 0 < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [0, 0], [0,
0], [1, 1]]]], [[5, 3, 11, 2, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [2, 2], [-\
4680347/1048576, -2340173/524288], [-3, -3]]]], [[5, 3, 11, 2, 2], [And(-1 < v
,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [2, 2], [-4680347/1048576, -2340173/524288], [-3291611/2097152
, -1645805/1048576]]]], [[5, 3, 11, 2, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [2, 2], [-4680347/1048576, -2340173/524288], [0, 0]]]], [[5, 3
, 11, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1
< x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [2, 2], [-4680347/1048576, -2340173/524288],
[1645805/1048576, 822903/524288]]]], [[5, 3, 11, 2, 5], [And(-1 < v,v < 0), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144]
, [2, 2], [-4680347/1048576, -2340173/524288], [3, 3]]]], [[5, 11, 10, 2, 1],
[And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+
v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [-3, -3]]]], [[5,
11, 10, 2, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [-\
3291611/2097152, -1645805/1048576]]]], [[5, 11, 10, 2, 3], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2
+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [0, 0]]]]
, [[5, 11, 10, 2, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [343151/262144, 343151/262144], [1, 1], [-3631771/1048576, -1815885/
524288], [1645805/1048576, 822903/524288]]]], [[5, 11, 10, 2, 5], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [1, 1], [-3631771/1048576, -1815885/524288], [3, 3]]]], [[5, 13, 3, 7
, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-
x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [-43/8,
-43/8], [37/4, 37/4], [0, 0]]]], [[6, 5, 8, 4, 1], [v = 0, And(-1 < u,u < 0),
x = 0, y = u^2-1, z < -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2],
[0, 0], [-3/4, -3/4], [-2, -2]]]], [[6, 5, 8, 4, 2], [v = 0, And(-1 < u,u < 0)
, x = 0, y = u^2-1, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2
], [0, 0], [-3/4, -3/4], [-1816187/2097152, -3632373/4194304]]]], [[6, 5, 8, 4
, 3], [v = 0, And(-1 < u,u < 0), x = 0, y = u^2-1, And(-(-u^2+1)^(1/2) < z,z <
(-u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [0, 0], [-3/4, -3/4],
[-1/8388608, -1/8388608]]]], [[6, 5, 8, 4, 4], [v = 0, And(-1 < u,u < 0), x =
0, y = u^2-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [0,
0], [-3/4, -3/4], [908093/1048576, 454047/524288]]]], [[6, 5, 8, 4, 5], [v = 0
, And(-1 < u,u < 0), x = 0, y = u^2-1, (-u^2+1)^(1/2) < z], [regular_chain, [[
0, 0], [-1/2, -1/2], [0, 0], [-3/4, -3/4], [2, 2]]]], [[6, 7, 5, 5, 1], [v = 0
, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), z < -(-x-y)
^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/16, 1/16], [-2,
-2]]]], [[6, 7, 5, 5, 2], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And
(0 < y,y < u^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2],
[-7/8, -7/8], [1/16, 1/16], [-3780695/4194304, -7561389/8388608]]]], [[6, 7, 5
, 5, 3], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(0 < y,y < u^2-x-\
1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1
/2], [-7/8, -7/8], [1/16, 1/16], [-5/16777216, -5/16777216]]]], [[6, 7, 5, 5,
4], [v = 0, And(0 < u,u < 1), And(-1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/16, 1/
16], [945173/1048576, 472587/524288]]]], [[6, 7, 5, 5, 5], [v = 0, And(0 < u,u
< 1), And(-1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-7/8, -7/8], [1/16, 1/16], [2, 2]]]], [[6
, 11, 8, 3, 1], [v = 0, 2^(1/2) < u, x = 1, And(-u^2-2 < y,y < -1), z < -(-y-1
)^(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [-6, -6], [-4, -4]]]], [[6,
11, 8, 3, 2], [v = 0, 2^(1/2) < u, x = 1, And(-u^2-2 < y,y < -1), z = -(-y-1)^
(1/2)], [regular_chain, [[0, 0], [3, 3], [1, 1], [-6, -6], [-146543/65536, -\
2344687/1048576]]]], [[6, 11, 8, 3, 3], [v = 0, 2^(1/2) < u, x = 1, And(-u^2-2
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0]
, [3, 3], [1, 1], [-6, -6], [0, 0]]]], [[6, 11, 8, 3, 4], [v = 0, 2^(1/2) < u,
x = 1, And(-u^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [3,
3], [1, 1], [-6, -6], [2344687/1048576, 146543/65536]]]], [[6, 11, 8, 3, 5], [
v = 0, 2^(1/2) < u, x = 1, And(-u^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [1, 1], [-6, -6], [4, 4]]]], [[7, 1, 10, 6, 1]
, [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [31/4, 31/4], [0, 0], [0, 0]]]], [[7, 7,
10, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(u^2-v^2-2 < y,y <
-u^2+v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1],
[-2, -2], [-2, -2]]]], [[7, 7, 10, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v)
, x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = -(-y-1)^(1/2)], [regular_chain
, [[1/2, 1/2], [0, 0], [1, 1], [-2, -2], [-1, -1]]]], [[7, 7, 10, 3, 3], [And(
0 < v,v < 1), And(-v < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), And
(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [1
, 1], [-2, -2], [0, 0]]]], [[7, 7, 10, 3, 4], [And(0 < v,v < 1), And(-v < u,u
< v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-2, -2], [1, 1]]]], [[7, 7, 10, 3
, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -u^2+
v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [1, 1], [-2, -\
2], [2, 2]]]], [[7, 9, 7, 4, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2
)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [-2, -2]]]], [[
7, 9, 7, 4, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304]
, [-156105/524288, -312209/1048576], [-1618333/2097152, -3236665/4194304]]]],
[[7, 9, 7, 4, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2
-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(
1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [-1/
8388608, -1/8388608]]]], [[7, 9, 7, 4, 4], [And(0 < v,v < 1), And(v < u,u < (v
^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837
/4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [404583/524288
, 809167/1048576]]]], [[7, 9, 7, 4, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+
1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [2, 2]]]], [[7,
11, 3, 2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576,
-1815885/1048576], [-1534619/2097152, -767309/1048576], [-3, -3]]]], [[7, 11,
3, 2, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^
2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/
1048576], [-1534619/2097152, -767309/1048576], [-3291611/2097152, -1645805/
1048576]]]], [[7, 11, 3, 2, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [-1815885/1048576, -1815885/1048576], [-1534619/2097152, -\
767309/1048576], [0, 0]]]], [[7, 11, 3, 2, 4], [And(0 < v,v < 1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [-1534619/2097152, -767309/
1048576], [1645805/1048576, 822903/524288]]]], [[7, 11, 3, 2, 5], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [-1534619/
2097152, -767309/1048576], [3, 3]]]], [[7, 12, 5, 1, 1], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [
[7, 12, 5, 1, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2
], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[7, 12, 5, 1, 3], [And(0
< v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2],
[-4, -4], [0, 0]]]], [[7, 12, 5, 1, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
3/2, 3/2], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[7,
12, 5, 1, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-\
3, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [-1/2, -1/2], [
-4, -4], [4, 4]]]], [[8, 5, 1, 6, 1], [v = 1, And(-2^(1/2) < u,u < -1), x < -u
^2, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576], [-2,
-2]]]], [[8, 5, 1, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = u^2-
x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576], [-772605/
1048576, -1545209/2097152]]]], [[8, 5, 1, 6, 3], [v = 1, And(-2^(1/2) < u,u <
-1), x < -u^2, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1288231/524288, 2576463/1048576], [-1/4194304, -1/4194304]]]], [[8, 5, 1, 6, 4
], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = u^2-x-2, z = (-u^2+2)^(1/2)
], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1288231/524288, 2576463/1048576], [193151/262144, 772605/1048576]]]], [[8, 5,
1, 6, 5], [v = 1, And(-2^(1/2) < u,u < -1), x < -u^2, y = u^2-x-2, (-u^2+2)^(1
/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3,
-3], [1288231/524288, 2576463/1048576], [2, 2]]]], [[8, 6, 4, 4, 1], [v = 1, u
= -1, x = 0, y = 0, z < 0], [regular_chain, [[1, 1], [-1, -1], [0, 0], [0, 0],
[-1, -1]]]], [[8, 6, 4, 4, 2], [v = 1, u = -1, x = 0, y = 0, z = 0], [
regular_chain, [[1, 1], [-1, -1], [0, 0], [0, 0], [0, 0]]]], [[8, 6, 4, 4, 3],
[v = 1, u = -1, x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [-1, -1], [0, 0
], [0, 0], [1, 1]]]], [[8, 11, 4, 8, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = -\
1, y = 1, z < 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1, -1], [1, 1], [-1, -1]]]], [[8, 11, 4, 8, 2], [v = 1, And(1 < u,u < 2^(1/2
)), x = -1, y = 1, z = 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-1, -1], [1, 1], [0, 0]]]], [[8, 11, 4, 8, 3], [v = 1, And(1 < u,u
< 2^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[8, 12, 8, 5, 1], [v = 1, u =
2^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[9, 3, 3, 5, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [911923/1048576, 911923/1048576], [-2, -2]
]]], [[9, 3, 3, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [911923/1048576, 
911923/1048576], [-7822925/8388608, -1955731/2097152]]]], [[9, 3, 3, 5, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [911923/1048576, 
911923/1048576], [-1/4194304, -1/4194304]]]], [[9, 3, 3, 5, 4], [And(1 < v,v <
2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -\
3647693/2097152], [911923/1048576, 911923/1048576], [977865/1048576, 488933/
524288]]]], [[9, 3, 3, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [911923/
1048576, 911923/1048576], [2, 2]]]], [[9, 4, 6, 5, 1], [And(1 < v,v < 2^(1/2))
, u = -(v^2+1)^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0], [1, 1], [0, 0]]]
], [[9, 12, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -\
2]]]], [[9, 12, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), 
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/4, 1/4]
, [-1/2, -1/2]]]], [[9, 12, 3, 5, 3], [And(1 < v,v < 2^(1/2)), u = v, And(-1 <
x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 12, 3, 5, 4], [And(1 < v,v
< 2^(1/2)), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 12, 3, 5, 5], [And(1 <
v,v < 2^(1/2)), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 13, 10, 7, 1], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-1 < y,y < 0)
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[10, 2, 5, 1, 1],
[v = 2^(1/2), u = -2, And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-4,
-4], [-4, -4]]]], [[10, 2, 5, 1, 2], [v = 2^(1/2), u = -2, And(-1 < x,x < 0),
y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-2, -2], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [
[10, 2, 5, 1, 3], [v = 2^(1/2), u = -2, And(-1 < x,x < 0), y < -x-3, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[10, 2, 5, 1, 4], [v =
2^(1/2), u = -2, And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-4,
-4], [2224365/1048576, 1112183/524288]]]], [[10, 2, 5, 1, 5], [v = 2^(1/2), u
= -2, And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[10,
3, 9, 4, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y =
-x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [388511/524288, 388511/524288], [-388511/524288, -\
388511/524288], [-1, -1]]]], [[10, 3, 9, 4, 2], [v = 2^(1/2), And(-2 < u,u < -
3^(1/2)), And(u^2-3 < x,x < 1), y = -x, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [388511/524288
, 388511/524288], [-388511/524288, -388511/524288], [0, 0]]]], [[10, 3, 9, 4,
3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(u^2-3 < x,x < 1), y = -x, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [388511/524288, 388511/524288], [-388511/524288, -388511/
524288], [1, 1]]]], [[10, 8, 5, 6, 1], [v = 2^(1/2), u = -1, And(-1 < x,x < 0)
, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1],
[-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10, 8, 5, 6, 2], [v = 2^(1/2), u = -1
, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[10, 8, 5, 6, 3], [v
= 2^(1/2), u = -1, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10
, 9, 10, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 1, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [1, 1], [0, 0]
, [0, 0]]]], [[10, 15, 10, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 1,
0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [1, 1], [1, 1], [0, 0]]]], [[10, 17, 5, 8, 1], [v =
2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = u^2-x-3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [1029755/1048576, 257439/262144], [0, 0]]]], [[10, 18,
9, 1, 1], [v = 2^(1/2), u = 2, 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [-6, -6], [-\
3, -3]]]], [[10, 18, 9, 1, 2], [v = 2^(1/2), u = 2, 1 < x, y < -x-3, z = -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2],
[-6, -6], [-2, -2]]]], [[10, 18, 9, 1, 3], [v = 2^(1/2), u = 2, 1 < x, y < -x-\
3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [2, 2], [2, 2], [-6, -6], [0, 0]]]], [[10, 18, 9, 1, 4], [v
= 2^(1/2), u = 2, 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [2, 2], [2, 2], [-6, -6], [2, 2]]]], [[10, 18, 9, 1
, 5], [v = 2^(1/2), u = 2, 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [2, 2], [2, 2], [-6, -6], [3, 3]]]], [[11,
1, 1, 9, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, u^2-v^2-x-1 < y
, z = z], [regular_chain, [[3, 3], [-5, -5], [-18, -18], [34, 34], [0, 0]]]],
[[11, 7, 1, 8, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1
, y = -x, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-3, -3], [3, 3], [-1, -1]]]], [[11, 7, 1, 8, 2], [2^(1/2) < v, And(-v < u,
u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-3, -3], [3, 3], [0, 0]]]], [[11, 7, 1,
8, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, 0
< z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-3, -3],
[3, 3], [1, 1]]]], [[11, 8, 4, 6, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), x = -1
, y = 1, z < 0], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/4194304
], [-1, -1], [1, 1], [-1, -1]]]], [[11, 8, 4, 6, 2], [2^(1/2) < v, u = -(v^2-1
)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [1, 1], [0, 0]]]], [[11, 8, 4, 6, 3], [2^(1/2) <
v, u = -(v^2-1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [-1, -1], [1, 1], [1, 1]]]], [[11, 12, 7,
2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/
2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-7/2
, -7/2], [-3, -3]]]], [[11, 12, 7, 2, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), And
(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/
2097152]]]], [[11, 12, 7, 2, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x
< 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/
4194304]]]], [[11, 12, 7, 2, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x
< 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837
/4096], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[11, 
12, 7, 2, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, 3^(
1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2],
[-7/2, -7/2], [3, 3]]]], [[11, 13, 11, 3, 1], [2^(1/2) < v, And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-1706123
/524288, -1706123/524288], [-3, -3]]]], [[11, 13, 11, 3, 2], [2^(1/2) < v, And
((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2,
2], [-1706123/524288, -1706123/524288], [-1174299/1048576, -587149/524288]]]],
[[11, 13, 11, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1
< x, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2], [-1706123/
524288, -1706123/524288], [0, 0]]]], [[11, 13, 11, 3, 4], [2^(1/2) < v, And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [2, 2]
, [-1706123/524288, -1706123/524288], [587149/524288, 1174299/1048576]]]], [[
11, 13, 11, 3, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 1 <
x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [2, 2], [-1706123/524288, -1706123/524288], [
3, 3]]]], [[11, 20, 1, 9, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x < -3, 1-x < y
, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-4, -4]
, [6, 6], [0, 0]]]], [[11, 21, 6, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [0, 0],
[-18, -18], [-6, -6]]]], [[11, 21, 6, 1, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u,
x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [0,
0], [-18, -18], [-1112183/262144, -4448731/1048576]]]], [[11, 21, 6, 1, 3], [2
^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [0, 0], [-18, -18], [0, 0]]]],
[[11, 21, 6, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z
= (-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [0, 0], [-18, -18], [4448731/
1048576, 1112183/262144]]]], [[11, 21, 6, 1, 5], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [0
, 0], [-18, -18], [6, 6]]]], [[1, 5, 6, 2, 1], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [-66225059/67108864, -33112529/33554432], [-3, -3]]]], [[1,
5, 6, 2, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y =
-2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-66225059/
67108864, -33112529/33554432], [-1281417/1048576, -160177/131072]]]], [[1, 5,
6, 2, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*
u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/
2097152], [-66225059/67108864, -33112529/33554432], [0, 0]]]], [[1, 5, 6, 2, 4
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v
^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [-66225059/67108864, -\
33112529/33554432], [160177/131072, 1281417/1048576]]]], [[1, 5, 6, 2, 5], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-531193/1048576, -1062385/2097152], [-66225059/67108864, -33112529/
33554432], [3, 3]]]], [[1, 7, 7, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152
], [-516571/2097152, -516571/2097152], [-1580581/2097152, -1580581/2097152], [
-2, -2]]]], [[1, 7, 7, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^
(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
516571/2097152, -516571/2097152], [-1580581/2097152, -1580581/2097152], [-1, -\
1]]]], [[1, 7, 7, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-1580581/2097152, -1580581/
2097152], [0, 0]]]], [[1, 7, 7, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-516571/2097152, -516571/2097152], [-1580581/2097152, -1580581/2097152], [1,
1]]]], [[1, 7, 7, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [-1580581/2097152, -1580581/2097152], [2, 2]]]], [[
1, 11, 4, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x =
-1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -1
], [-10, -10], [-5, -5]]]], [[1, 11, 4, 1, 2], [v < -2^(1/2), And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), x = -1, y < u^2-v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [-10, -10], [-1738867/524288, -\
3477733/1048576]]]], [[1, 11, 4, 1, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [-10, -10], [0, 0]]]], [[1, 11
, 4, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1,
y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [-\
10, -10], [3477733/1048576, 1738867/524288]]]], [[1, 11, 4, 1, 5], [v < -2^(1/
2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y < u^2-v^2, (1-y)^(1/2
) < z], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [-10, -10], [5, 5]]]], [[
1, 13, 1, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x <
u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [-4, -4], [1564115/1048576, 391029/262144
], [-3, -3]]]], [[1, 13, 1, 4, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [1564115
/1048576, 391029/262144], [-3321417/2097152, -415177/262144]]]], [[1, 13, 1, 4
, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1,
y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [1564115
/1048576, 391029/262144], [0, 0]]]], [[1, 13, 1, 4, 4], [v < -2^(1/2), And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4
, -4], [1564115/1048576, 391029/262144], [415177/262144, 1660709/1048576]]]],
[[1, 13, 1, 4, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x
< u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [-4, -4], [1564115/1048576, 391029/
262144], [3, 3]]]], [[1, 19, 1, 1, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [-1, -1], [-4, -4]]]],
[[1, 19, 1, 1, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
< -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-4, -4], [-1, -1], [-146543/65536, -2344687/
1048576]]]], [[1, 19, 1, 1, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [-1, -\
1], [0, 0]]]], [[1, 19, 1, 1, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [-4, -4], [-1, -1], [2344687/1048576,
146543/65536]]]], [[1, 19, 1, 1, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [-1, -1], [4, 4]]]], [[1,
20, 7, 4, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z <
0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2],
[-1/2, -1/2], [-1, -1]]]], [[1, 20, 7, 4, 2], [v < -2^(1/2), u = (v^2+2)^(1/2)
, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 20, 7, 4,
3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-1/2
, -1/2], [1, 1]]]], [[2, 3, 2, 2, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-650655/262144, -\
2602619/1048576], [0, 0], [-3, -3]]]], [[2, 3, 2, 2, 2], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-\
650655/262144, -2602619/1048576], [0, 0], [-825991/524288, -3303963/2097152]]]
], [[2, 3, 2, 2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y =
0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-650655/
262144, -2602619/1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[2, 3, 2, 2,
4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = 0, z = (u^2-1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [-650655/262144, -2602619/1048576], [0, 0], [1651981/
1048576, 825991/524288]]]], [[2, 3, 2, 2, 5], [v = -2^(1/2), And(-2 < u,u < -3
^(1/2)), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-650655/
262144, -2602619/1048576], [0, 0], [3, 3]]]], [[2, 5, 1, 5, 1], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [2, 2], [-2, -2]]]], [[2, 5, 1, 5, 2], [
v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-\
3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-6598195/4194304, -6598195/4194304], [-3, -3], [2, 2], [-1, -1]]]], [[2, 5, 1,
5, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(-u^2-x+1 < y,y
< u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -\
3], [2, 2], [0, 0]]]], [[2, 5, 1, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [2, 2], [1, 1]]]], [[2, 5, 1, 5, 5], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [2, 2], [2, 2]]]], [[2, 7, 2, 5, 1], [v
= -2^(1/2), And(v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z < -(
-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
689093/524288, 689093/524288], [-2, -2]]]], [[2, 7, 2, 5, 2], [v = -2^(1/2), 
And(v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = -(-u^2-y+3)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-3235683/2097152, -1617841/1048576], [689093/524288, 
689093/524288], [-31331/65536, -501295/1048576]]]], [[2, 7, 2, 5, 3], [v = -2^
(1/2), And(v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-
y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [689093/524288, 689093/524288], [0, 0]]]], [[2, 7, 2, 5, 4],
[v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z =
(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
689093/524288, 689093/524288], [501295/1048576, 31331/65536]]]], [[2, 7, 2, 5,
5], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3),
(-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
689093/524288, 689093/524288], [2, 2]]]], [[2, 9, 1, 8, 1], [v = -2^(1/2), And
(-1 < u,u < 0), x < u^2-3, y = -u^2-x+1, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [19/4, 19/4], [0, 0]]]], [[2
, 12, 7, 2, 1], [v = -2^(1/2), u = 1, And(0 < x,x < 1), y = -x-2, z < -2^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [-\
5/2, -5/2], [-3, -3]]]], [[2, 12, 7, 2, 2], [v = -2^(1/2), u = 1, And(0 < x,x
< 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]
]], [[2, 12, 7, 2, 3], [v = -2^(1/2), u = 1, And(0 < x,x < 1), y = -x-2, And(-
2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1, 1], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[2, 12, 7, 2, 4], [v = -2^(1/2
), u = 1, And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1, 1], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 
1482911/1048576]]]], [[2, 12, 7, 2, 5], [v = -2^(1/2), u = 1, And(0 < x,x < 1)
, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[1, 1], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[2, 14, 6, 3, 1], [v = -2^(1/2),
u = -v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-\
3/2, -3/2], [-2, -2]]]], [[2, 14, 6, 3, 2], [v = -2^(1/2), u = -v, x = 1, And(
-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/2], [-\
1482911/2097152, -741455/1048576]]]], [[2, 14, 6, 3, 3], [v = -2^(1/2), u = -v
, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [-3/2, -3/2], [0, 0]]]], [[2, 14, 6, 3, 4], [v = -2^(1/2), u
= -v, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-3/2, -3
/2], [741455/1048576, 46341/65536]]]], [[2, 14, 6, 3, 5], [v = -2^(1/2), u = -
v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-3/2, -3/
2], [2, 2]]]], [[3, 1, 2, 6, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2)
, x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [7909297/
524288, 15818595/1048576], [0, 0]]]], [[3, 2, 9, 2, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2,
2], [-5, -5], [-3, -3]]]], [[3, 2, 9, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(
v^2+2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-5,
-5], [-1816187/1048576, -3632373/2097152]]]], [[3, 2, 9, 2, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[3, 2, 9, 2
, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, z = 3^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[
3, 2, 9, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y = -x-3
, 3^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [-5, -5], [3, 3]]]], [[3, 6, 7, 3,
1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[3, 6, 7, 3, 2
], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [2, 2], [-5/2, -5/2], [-1482911/2097152, -741455/
1048576]]]], [[3, 6, 7, 3, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, And(-1
-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-5/2, -5/2], [0, 0]]]], [[3, 6, 7, 3, 4], [And(-2^(1/2) < v,v < -1), u =
v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-5/
2, -5/2], [741455/1048576, 46341/65536]]]], [[3, 6, 7, 3, 5], [And(-2^(1/2) <
v,v < -1), u = v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-5/2, -5/2], [2, 2]]]], [[3, 8, 8, 4, 1], [And(-2^(
1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1,
1], [-1, -1], [-1, -1]]]], [[3, 8, 8, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(
v^2-1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-1, -1], [0, 0]
]]], [[3, 8, 8, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y
= -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877
/2097152, -354469/524288], [1, 1], [-1, -1], [1, 1]]]], [[4, 1, 3, 1, 1], [v =
-1, u < -3^(1/2), And(-u^2 < x,x < -1), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-5, -5], [-5, -5]]]], [[4, 1, 3
, 1, 2], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), y < -u^2-x, z = -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-5, -5], [-3315889/
1048576, -207243/65536]]]], [[4, 1, 3, 1, 3], [v = -1, u < -3^(1/2), And(-u^2
< x,x < -1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-5, -5], [0, 0]]]], [[4, 1, 3,
1, 4], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/
2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-5, -5], [207243/65536, 
3315889/1048576]]]], [[4, 1, 3, 1, 5], [v = -1, u < -3^(1/2), And(-u^2 < x,x <
-1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-5,
-5], [-5, -5], [5, 5]]]], [[4, 2, 9, 4, 1], [v = -1, u = -3^(1/2), 1 < x, y =
-x, z < 0], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [
2, 2], [-2, -2], [-1, -1]]]], [[4, 2, 9, 4, 2], [v = -1, u = -3^(1/2), 1 < x,
y = -x, z = 0], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152
], [2, 2], [-2, -2], [0, 0]]]], [[4, 2, 9, 4, 3], [v = -1, u = -3^(1/2), 1 < x
, y = -x, 0 < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [2, 2], [-2, -2], [1, 1]]]], [[4, 6, 7, 7, 1], [v = -1, u = -1, 1 <
x, 0 < y, z = z], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [1, 1], [0, 0]]
]], [[4, 8, 9, 1, 1], [v = -1, u = 0, 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [-5, -5], [-3, -3]]]], [[4, 8, 9, 1,
2], [v = -1, u = 0, 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [0, 0], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[4, 8
, 9, 1, 3], [v = -1, u = 0, 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[4, 8, 9, 1, 4], [v = -1, u = 0, 1 < x, y < -x-2, z = (-x-y)^(1/
2)], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[4, 8, 9, 1, 5], [v = -1, u = 0, 1 < x, y < -x-2, (-x-y)
^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-5, -5], [3, 3]]]], [
[4, 14, 6, 5, 1], [v = -1, u = 3^(1/2), x = 0, And(0 < y,y < 1), z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [1/2, 1/2]
, [0, 0]]]], [[5, 1, 4, 1, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1,
y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1,
-1], [-10, -10], [-5, -5]]]], [[5, 1, 4, 1, 2], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [-3, -3], [-1, -1], [-10, -10], [-1738867/524288, -3477733/1048576]]]], [[
5, 1, 4, 1, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2,
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3
], [-1, -1], [-10, -10], [0, 0]]]], [[5, 1, 4, 1, 4], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-3, -3], [-1, -1], [-10, -10], [3477733/1048576, 1738867/524288]]]],
[[5, 1, 4, 1, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2
, (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [-10, -\
10], [5, 5]]]], [[5, 5, 1, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[5,
5, 1, 1, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1
, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-3, -3], [-1, -1], [-2, -2]]]], [[5, 5, 1, 1, 3], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[5, 5, 1, 1, 4], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, z = (-x-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
3, -3], [-1, -1], [2, 2]]]], [[5, 5, 1, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [-1, -1], [3, 3
]]]], [[5, 7, 1, 9, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1,
-x < y, z = z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [4, 4], [0, 0
]]]], [[5, 9, 2, 7, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [3, 3], [0, 0]]
]], [[5, 11, 2, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288],
[-1, -1], [-3, -3]]]], [[5, 11, 2, 1, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [-1, -1], [-7805831/4194304, -3902915/2097152]]]],
[[5, 11, 2, 1, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [-1, -1], [-1/4194304, -1/4194304]]]], [[5, 11, 2,
1, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+
v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151
/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1], [
1951457/1048576, 975729/524288]]]], [[5, 11, 2, 1, 5], [And(-1 < v,v < 0), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-\
2583195/1048576, -1291597/524288], [-1, -1], [3, 3]]]], [[6, 1, 6, 1, 1], [v =
0, u < -2^(1/2), x = 0, y < -u^2-1, z < -(-y)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [0, 0], [-11, -11], [-5, -5]]]], [[6, 1, 6, 1, 2], [v = 0, u < -2^(1
/2), x = 0, y < -u^2-1, z = -(-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [
0, 0], [-11, -11], [-1738867/524288, -3477733/1048576]]]], [[6, 1, 6, 1, 3], [
v = 0, u < -2^(1/2), x = 0, y < -u^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[0, 0], [-3, -3], [0, 0], [-11, -11], [0, 0]]]], [[6, 1, 6, 1
, 4], [v = 0, u < -2^(1/2), x = 0, y < -u^2-1, z = (-y)^(1/2)], [regular_chain
, [[0, 0], [-3, -3], [0, 0], [-11, -11], [3477733/1048576, 1738867/524288]]]],
[[6, 1, 6, 1, 5], [v = 0, u < -2^(1/2), x = 0, y < -u^2-1, (-y)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [0, 0], [-11, -11], [5, 5]]]], [[6, 3, 3, 6,
1], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y = -x, z < 0],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [1812519/1048576, 1812519/1048576], [-1, -1]]]], [
[6, 3, 3, 6, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y =
-x, z = 0], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-\
1812519/1048576, -1812519/1048576], [1812519/1048576, 1812519/1048576], [0, 0]
]]], [[6, 3, 3, 6, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1
), y = -x, 0 < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1812519/1048576, -1812519/1048576], [1812519/1048576, 1812519/
1048576], [1, 1]]]], [[6, 9, 3, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^
2-1 < x,x < -1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [-2,
-2], [-3, -3]]]], [[6, 9, 3, 1, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1
< x,x < -1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [-2,
-2], [-8098975/4194304, -16197949/8388608]]]], [[6, 9, 3, 1, 3], [v = 0, And(1
< u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576
], [-1812519/1048576, -1812519/1048576], [-2, -2], [-5/16777216, -5/16777216]]
]], [[6, 9, 3, 1, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1),
y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1812519/1048576, -1812519/1048576], [-2, -2], [2024743/
1048576, 253093/131072]]]], [[6, 9, 3, 1, 5], [v = 0, And(1 < u,u < 2^(1/2)),
And(-u^2-1 < x,x < -1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576],
[-2, -2], [3, 3]]]], [[6, 10, 9, 4, 1], [v = 0, u = 2^(1/2), 1 < x, y = -x, z
< 0], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-2,
-2], [-1, -1]]]], [[6, 10, 9, 4, 2], [v = 0, u = 2^(1/2), 1 < x, y = -x, z = 0
], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-2, -2]
, [0, 0]]]], [[6, 10, 9, 4, 3], [v = 0, u = 2^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-2, -2], [1
, 1]]]], [[7, 3, 4, 4, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1, -1], [0, 0], [-2, -2]]]], [[7, 3, 4, 4, 2], [And
(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z =
-1], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1],
[0, 0], [-1, -1]]]], [[7, 3, 4, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/
2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [0, 0], [0, 0]]]], [[7, 3
, 4, 4, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
-1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1, -1], [0, 0], [1, 1]]]], [[7, 3, 4, 4, 5], [And(0 < v,v < 1), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [0, 0], [2, 2]]]],
[[7, 5, 3, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+
v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [948445/1048576, 948445/1048576], [-2, -2]]]], [[7
, 5, 3, 7, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2
-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [948445/1048576, 948445/1048576], [-1144335/
2097152, -572167/1048576]]]], [[7, 5, 3, 7, 3], [And(0 < v,v < 1), And(-(v^2+1
)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [
948445/1048576, 948445/1048576], [0, 0]]]], [[7, 5, 3, 7, 4], [And(0 < v,v < 1
), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152
, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [948445/1048576, 
948445/1048576], [572167/1048576, 71521/131072]]]], [[7, 5, 3, 7, 5], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(u^2-
v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [948445/
1048576, 948445/1048576], [2, 2]]]], [[8, 1, 8, 7, 1], [v = 1, u < -3^(1/2), x
= 1, And(0 < y,y < u^2-3), z = z], [regular_chain, [[1, 1], [-3, -3], [1, 1],
[3, 3], [0, 0]]]], [[8, 3, 5, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[8, 3, 5, 6, 2], [v
= 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1
/2, 1/2], [0, 0]]]], [[8, 3, 5, 6, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[8, 7, 6, 4, 1], [v =
1, And(-1 < u,u < 0), x = -u^2, y = 0, z < u], [regular_chain, [[1, 1], [-1/2,
-1/2], [-1/4, -1/4], [0, 0], [-2, -2]]]], [[8, 7, 6, 4, 2], [v = 1, And(-1 < u
,u < 0), x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4
, -1/4], [0, 0], [-1/2, -1/2]]]], [[8, 7, 6, 4, 3], [v = 1, And(-1 < u,u < 0),
x = -u^2, y = 0, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-\
1/4, -1/4], [0, 0], [0, 0]]]], [[8, 7, 6, 4, 4], [v = 1, And(-1 < u,u < 0), x
= -u^2, y = 0, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [
0, 0], [1/2, 1/2]]]], [[8, 7, 6, 4, 5], [v = 1, And(-1 < u,u < 0), x = -u^2, y
= 0, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [0, 0], [2,
2]]]], [[8, 9, 5, 3, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u
^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-\
5/8, -5/8], [-9/16, -9/16], [-3, -3]]]], [[8, 9, 5, 3, 2], [v = 1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-9/16, -9/16], [-285665/
262144, -1142659/1048576]]]], [[8, 9, 5, 3, 3], [v = 1, And(0 < u,u < 1), And(
-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-9/16, -9/16], [0, 0
]]]], [[8, 9, 5, 3, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^
2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/
8, -5/8], [-9/16, -9/16], [1142659/1048576, 285665/262144]]]], [[8, 9, 5, 3, 5
], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), (-x
-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-9/16, -9/
16], [3, 3]]]], [[8, 15, 3, 6, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1),
y = -x, z < 0], [regular_chain, [[1, 1], [3, 3], [-5, -5], [5, 5], [-1, -1]]]]
, [[8, 15, 3, 6, 2], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -x, z = 0]
, [regular_chain, [[1, 1], [3, 3], [-5, -5], [5, 5], [0, 0]]]], [[8, 15, 3, 6,
3], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[1, 1], [3, 3], [-5, -5], [5, 5], [1, 1]]]], [[9, 1, 9, 3, 1], [And(1 < v,v <
2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3, -3], [7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/
4194304], [-4, -4]]]], [[9, 1, 9, 3, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)
^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [-2167143/
1048576, -1083571/524288]]]], [[9, 1, 9, 3, 3], [And(1 < v,v < 2^(1/2)), u < -
(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-33734339/4194304, -\
33734339/4194304], [0, 0]]]], [[9, 1, 9, 3, 4], [And(1 < v,v < 2^(1/2)), u < -
(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [
1083571/524288, 2167143/1048576]]]], [[9, 1, 9, 3, 5], [And(1 < v,v < 2^(1/2))
, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -\
3], [7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304]
, [4, 4]]]], [[9, 5, 6, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/2097152, 558339
/2097152], [-2, -2]]]], [[9, 5, 6, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1
)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/
2097152, 558339/2097152], [-1082093/2097152, -270523/524288]]]], [[9, 5, 6, 5,
3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, 
And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/2097152, 
558339/2097152], [0, 0]]]], [[9, 5, 6, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v
^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/
2097152, 558339/2097152], [270523/524288, 541047/1048576]]]], [[9, 5, 6, 5, 5]
, [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(
0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/
2097152, -558339/1048576], [558339/2097152, 558339/2097152], [2, 2]]]], [[9, 7
, 7, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+
v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-1421597/1048576, -355399/262144], [-3, -3]
]]], [[9, 7, 7, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-1421597/1048576, -\
355399/262144], [-1314069/1048576, -328517/262144]]]], [[9, 7, 7, 2, 3], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0),
y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-1421597/1048576, -\
355399/262144], [0, 0]]]], [[9, 7, 7, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-1421597/
1048576, -355399/262144], [328517/262144, 1314069/1048576]]]], [[9, 7, 7, 2, 5
], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x
,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [-1421597/1048576, -355399/262144], [3, 3]]]], [[9,
9, 7, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 
239655/1048576], [-4, -4], [-3, -3]]]], [[9, 9, 7, 1, 2], [And(1 < v,v < 2^(1/
2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y <
u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [-4, -4], [-32581713/
16777216, -2036357/1048576]]]], [[9, 9, 7, 1, 3], [And(1 < v,v < 2^(1/2)), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2
-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-4, -4],
[0, 0]]]], [[9, 9, 7, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u
< (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [-4, -4], [2036357/1048576, 1018179/524288]]]], [[9,
9, 7, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 
239655/1048576], [-4, -4], [3, 3]]]], [[9, 11, 5, 7, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[1048577/2097152, 1048577/2097152], [-2, -2]]]], [[9, 11, 5, 7, 2], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(-
u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737
/524288], [1048577/2097152, 1048577/2097152], [-485927/1048576, -242963/524288
]]]], [[9, 11, 5, 7, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v)
, And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [1048577/
2097152, 1048577/2097152], [0, 0]]]], [[9, 11, 5, 7, 4], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[1048577/2097152, 1048577/2097152], [242963/524288, 485927/1048576]]]], [[9, 
11, 5, 7, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 <
x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [1048577/2097152, 1048577/2097152]
, [2, 2]]]], [[9, 15, 6, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [0, 0], [
501965/2097152, 501965/2097152], [0, 0]]]], [[9, 17, 3, 6, 1], [And(1 < v,v <
2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [625403/131072, 5003225/1048576], [-1, -1]]]], [[9, 17,
3, 6, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -\
1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3
], [-10006449/2097152, -10006449/2097152], [625403/131072, 5003225/1048576], [
0, 0]]]], [[9, 17, 3, 6, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-
u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [625403/
131072, 5003225/1048576], [1, 1]]]], [[10, 5, 7, 2, 1], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1101539/4194304, -1101539/4194304], [-635499/524288, -1270997/
1048576], [-3, -3]]]], [[10, 5, 7, 2, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(u^2-3 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-635499/524288, -1270997/1048576], [-\
636691/524288, -1273381/1048576]]]], [[10, 5, 7, 2, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z
< (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-\
635499/524288, -1270997/1048576], [0, 0]]]], [[10, 5, 7, 2, 4], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [-635499/524288, -\
1270997/1048576], [1273381/1048576, 636691/524288]]]], [[10, 5, 7, 2, 5], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = -u^2-x+1, (u^2-1)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-635499/
524288, -1270997/1048576], [3, 3]]]], [[10, 7, 7, 6, 1], [v = 2^(1/2), And(-v
< u,u < -1), And(-u^2+1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [0, 0], [-2, -2]]]], [[10, 7, 7, 6, 2], [v =
2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-239655/1048576, -239655/1048576], [0, 0], [-501295/1048576, -\
250647/524288]]]], [[10, 7, 7, 6, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u
^2+1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [0, 0], [0, 0]]]], [[10, 7, 7, 6, 4], [v = 2
^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-239655/1048576, -239655/1048576], [0, 0], [250647/524288, 501295/
1048576]]]], [[10, 7, 7, 6, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 <
x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/
1048576], [0, 0], [2, 2]]]], [[10, 11, 4, 8, 1], [v = 2^(1/2), And(0 < u,u < 1
), x = -1, y = -u^2+2, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [7/4, 7/4], [0, 0]]]], [[10, 13, 3, 7, 1], [v
= 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
1093553/1048576, 1093553/1048576], [-2, -2]]]], [[10, 13, 3, 7, 2], [v = 2^(1/
2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [1093553/
1048576, 1093553/1048576], [-31331/65536, -501295/1048576]]]], [[10, 13, 3, 7,
3], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [1093553/1048576, 1093553/1048576], [0, 0]]]], [[
10, 13, 3, 7, 4], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(-
u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [1093553/1048576, 1093553/1048576], [501295/1048576, 31331/
65536]]]], [[10, 13, 3, 7, 5], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x
< -1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [1093553/1048576, 1093553/1048576], [2, 2]]]], [[
11, 3, 5, 4, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[11, 3, 5, 4,
2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0
), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]]
, [[11, 3, 5, 4, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [0, 0], [0, 0]]
]], [[11, 3, 5, 4, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 
46341/65536]]]], [[11, 3, 5, 4, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3
, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [
[11, 5, 4, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-u
^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [-3, -3]]]],
[[11, 5, 4, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-
u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [-\
1170799/1048576, -585399/524288]]]], [[11, 5, 4, 3, 3], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,
z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-1, -1], [-517383/2097152, -517383/2097152], [0, 0]]]], [[11, 5, 4, 3, 4], [2
^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 0), z
= (1-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1
, -1], [-517383/2097152, -517383/2097152], [585399/524288, 1170799/1048576]]]]
, [[11, 5, 4, 3, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And
(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [3, 3]]
]], [[11, 9, 5, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)
), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[-2105899/2097152, -2105899/2097152], [-3, -3]]]], [[11, 9, 5, 3, 2], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^
2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [-2105899/2097152, -2105899/2097152
], [-1286023/1048576, -643011/524288]]]], [[11, 9, 5, 3, 3], [2^(1/2) < v, And
(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-2105899/2097152, -\
2105899/2097152], [0, 0]]]], [[11, 9, 5, 3, 4], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608]
, [-1/2, -1/2], [-2105899/2097152, -2105899/2097152], [643011/524288, 1286023/
1048576]]]], [[11, 9, 5, 3, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[-2105899/2097152, -2105899/2097152], [3, 3]]]], [[11, 11, 2, 2, 1], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [0, 0], [-5, -5
]]]], [[11, 11, 2, 2, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/
2)), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [-10, -10], [0, 0], [-3315889/1048576, -207243/65536]]]], [[11, 11, 2,
2, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1,
y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[3, 3], [0, 0], [-10, -10], [0, 0], [0, 0]]]], [[11, 11, 2, 2, 4], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [0, 0], [207243/
65536, 3315889/1048576]]]], [[11, 11, 2, 2, 5], [2^(1/2) < v, And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [-10, -10], [0, 0], [5, 5]]]], [[11, 16, 7, 1,
1], [2^(1/2) < v, u = v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [3, 3], [2, 2], [-4, -4], [-3, -3]]]], [[11, 16, 7, 1, 2], [2^(1/2) <
v, u = v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3]
, [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[11, 16, 7, 1, 3],
[2^(1/2) < v, u = v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[3, 3], [3, 3], [2, 2], [-4, -4], [0, 0]]]], [[11, 16, 7, 1
, 4], [2^(1/2) < v, u = v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain,
[[3, 3], [3, 3], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[11,
16, 7, 1, 5], [2^(1/2) < v, u = v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [3, 3], [2, 2], [-4, -4], [3, 3]]]], [[11, 18, 7, 5, 1
], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z
], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-1/4
, -1/4], [0, 0]]]], [[1, 1, 9, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1
< x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [-5,
-5], [8, 8], [-4, -4], [0, 0]]]], [[1, 3, 7, 1, 1], [v < -2^(1/2), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z
< -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [129511/524288, 129511/524288], [-4, -4], [-3, -3]]]], [[1, 3, 7, 1,
2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u
^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-4, -4],
[-8125459/4194304, -16250917/8388608]]]], [[1, 3, 7, 1, 3], [v < -2^(1/2), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^
2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-4, -4],
[-5/16777216, -5/16777216]]]], [[1, 3, 7, 1, 4], [v < -2^(1/2), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [129511/524288, 129511/524288], [-4, -4], [507841/262144, 2031365/1048576]]]
], [[1, 3, 7, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288
, 129511/524288], [-4, -4], [3, 3]]]], [[1, 7, 7, 4, 1], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-258287/1048576, -129143/524288
], [-2, -2]]]], [[1, 7, 7, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2))
, And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [-258287/1048576, -129143/524288], [-735979/1048576
, -1471957/2097152]]]], [[1, 7, 7, 4, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1
)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [-258287/1048576, -\
129143/524288], [-1/4194304, -1/4194304]]]], [[1, 7, 7, 4, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-258287/1048576, -129143/524288
], [367989/524288, 735979/1048576]]]], [[1, 7, 7, 4, 5], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152
], [-516571/2097152, -516571/2097152], [-258287/1048576, -129143/524288], [2,
2]]]], [[1, 9, 6, 5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1
/2)), x = 0, And(0 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [0, 0], [533035/2097152, 533035/2097152]
, [0, 0]]]], [[1, 14, 9, 6, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, y = 0
, z = z], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2],
[0, 0], [0, 0]]]], [[1, 17, 1, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1
/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [720033/
262144, 720033/262144], [-2, -2]]]], [[1, 17, 1, 7, 2], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3]
, [720033/262144, 720033/262144], [-527729/1048576, -1055457/2097152]]]], [[1,
17, 1, 7, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 
And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [720033/
262144, 720033/262144], [-1/4194304, -1/4194304]]]], [[1, 17, 1, 7, 4], [v < -
2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [720033/262144, 720033/262144], [32983/65536, 527729/
1048576]]]], [[1, 17, 1, 7, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [720033/262144, 720033/
262144], [2, 2]]]], [[1, 20, 7, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0
< x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 1, 4, 8, 1
], [v = -2^(1/2), u < -2, x = -1, y = u^2-2, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [7, 7], [0, 0]]]], [[2,
10, 8, 2, 1], [v = -2^(1/2), u = 0, x = 1, y = -4, z < -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-4, -4],
[-3, -3]]]], [[2, 10, 8, 2, 2], [v = -2^(1/2), u = 0, x = 1, y = -4, z = -3^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-4
, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 10, 8, 2, 3], [v = -2^(1/
2), u = 0, x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[2, 10, 8, 2, 4], [v = -2^(1/2), u = 0, x = 1, y = -4, z = 3^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-4,
-4], [908093/524288, 1816187/1048576]]]], [[2, 10, 8, 2, 5], [v = -2^(1/2), u
= 0, x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [1, 1], [-4, -4], [3, 3]]]], [[2, 12, 7, 1, 1], [v = -2^(1/2)
, u = 1, And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [-4, -4], [-3, -3]]]], [
[2, 12, 7, 1, 2], [v = -2^(1/2), u = 1, And(0 < x,x < 1), y < -x-2, z = -(-x-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1
/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[2, 12, 7, 1, 3], [v =
-2^(1/2), u = 1, And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/
2], [-4, -4], [0, 0]]]], [[2, 12, 7, 1, 4], [v = -2^(1/2), u = 1, And(0 < x,x
< 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1, 1], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [
[2, 12, 7, 1, 5], [v = -2^(1/2), u = 1, And(0 < x,x < 1), y < -x-2, (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/
2], [-4, -4], [3, 3]]]], [[2, 16, 7, 4, 1], [v = -2^(1/2), u = 3^(1/2), And(0
< x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288
], [908093/524288, 1816187/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[
2, 16, 7, 4, 2], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = -x, z = 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[2, 16, 7, 4, 3], [v = -2^(1/2
), u = 3^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-1/2,
-1/2], [1, 1]]]], [[2, 18, 5, 2, 1], [v = -2^(1/2), u = 2, And(-1 < x,x < 0),
y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[2, 2], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[2, 18, 5, 2, 2], [v = -2^(1
/2), u = 2, And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [-5/2, -5/2], [-\
1816187/1048576, -3632373/2097152]]]], [[2, 18, 5, 2, 3], [v = -2^(1/2), u = 2
, And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [-5/2, -5/2], [-1/
4194304, -1/4194304]]]], [[2, 18, 5, 2, 4], [v = -2^(1/2), u = 2, And(-1 < x,x
< 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/1048576]]
]], [[2, 18, 5, 2, 5], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y = -x-3, 3^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2,
-1/2], [-5/2, -5/2], [3, 3]]]], [[3, 4, 8, 1, 1], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1]
, [-4, -4], [-3, -3]]]], [[3, 4, 8, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [-4, -\
4], [-1816187/1048576, -3632373/2097152]]]], [[3, 4, 8, 1, 3], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[3,
4, 8, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y < -3, z =
(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]
]]], [[3, 4, 8, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y
< -3, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-410915/262144, -3287319/2097152], [1, 1], [-4, -4], [3, 3]]]], [[3, 6, 7,
2, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = -1-x, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[3, 6, 7, 2, 2], [And(-2^(1/
2) < v,v < -1), u = v, 1 < x, y = -1-x, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3,
-3], [-1, -1]]]], [[3, 6, 7, 2, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y
= -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [
[3, 6, 7, 2, 4], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = -1-x, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-3, -3], [1, 1]]]], [[3, 6, 7, 2, 5], [And(-2^(1/2)
< v,v < -1), u = v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3,
-3], [2, 2]]]], [[3, 10, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2
), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-1/4
, -1/4], [0, 0]]]], [[3, 12, 6, 6, 1], [And(-2^(1/2) < v,v < -1), u = -v, x =
1, y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [0, 0], [0, 0]]]], [[3, 14, 7, 7, 1
], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), 0 < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 16, 5, 5, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3, 16, 5, 5,
2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1
/2]]]], [[3, 16, 5, 5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 16, 5, 5, 4], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[3, 16, 5,
5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]]
, [[4, 2, 9, 7, 1], [v = -1, u = -3^(1/2), 1 < x, And(1-x < y,y < 0), z = z],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [-1/2
, -1/2], [0, 0]]]], [[4, 4, 8, 6, 1], [v = -1, u = -2^(1/2), x = 1, y = 0, z =
z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [0,
0], [0, 0]]]], [[4, 11, 1, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y
< 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[4, 11, 1, 1, 2], [v = -1, And(1 <
u,u < 2^(1/2)), x < -u^2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[4, 11
, 1, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y < 0, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743
/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[4, 11, 1, 1, 4], [v = -1, And(1 <
u,u < 2^(1/2)), x < -u^2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[4, 11, 1,
1, 5], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -\
1], [3, 3]]]], [[4, 12, 9, 2, 1], [v = -1, u = 2^(1/2), 1 < x, y = -x-2, z < -
2^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2],
[-4, -4], [-3, -3]]]], [[4, 12, 9, 2, 2], [v = -1, u = 2^(1/2), 1 < x, y = -x-\
2, z = -2^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576],
[2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[4, 12, 9, 2, 3], [v
= -1, u = 2^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2], [-4, -4],
[0, 0]]]], [[4, 12, 9, 2, 4], [v = -1, u = 2^(1/2), 1 < x, y = -x-2, z = 2^(1/
2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2], [-4,
-4], [741455/524288, 1482911/1048576]]]], [[4, 12, 9, 2, 5], [v = -1, u = 2^(1
/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [2, 2], [-4, -4], [3, 3]]]], [[5, 1, 4, 4, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-1/2, -1/2
], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[5, 1, 4, 4, 2], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2],
[-3, -3], [-1, -1], [0, 0], [-1, -1]]]], [[5, 1, 4, 4, 3], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1/2,
-1/2], [-3, -3], [-1, -1], [0, 0], [0, 0]]]], [[5, 1, 4, 4, 4], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2]
, [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[5, 1, 4, 4, 5], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [-1, -1], [0, 0], [2, 2]]]], [[5, 3, 1, 7, 1], [And(-1 < v,v < 0), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x
-1), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[-4, -4], [4437325/1048576, 4437325/1048576], [0, 0]]]], [[5, 12, 8, 4, 1], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [
[-1/2, -1/2], [3/2, 3/2], [1, 1], [-1, -1], [-1, -1]]]], [[5, 12, 8, 4, 2], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [
[-1/2, -1/2], [3/2, 3/2], [1, 1], [-1, -1], [0, 0]]]], [[5, 12, 8, 4, 3], [And
(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1
/2, -1/2], [3/2, 3/2], [1, 1], [-1, -1], [1, 1]]]], [[6, 1, 5, 7, 1], [v = 0,
u < -2^(1/2), And(-1 < x,x < 0), And(-x < y,y < u^2-x-1), z = z], [
regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [9/2, 9/2], [0, 0]]]], [[6, 5,
2, 7, 1], [v = 0, And(-1 < u,u < 0), x = -u^2-1, u^2+1 < y, z = z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [3, 3], [0, 0]]]], [[6, 7,
3, 8, 1], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [9/8, 9/8], [-1, -1]]]], [[6
, 7, 3, 8, 2], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = -x, z = 0
], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [9/8, 9/8], [0, 0]]]], [
[6, 7, 3, 8, 3], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = -x, 0 <
z], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [9/8, 9/8], [1, 1]]]],
[[7, 1, 6, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y <
u^2-v^2-1), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [31/8, 31/8
], [0, 0]]]], [[7, 3, 4, 1, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [-3, -3], [-3, -3]]]], [[
7, 3, 4, 1, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151
/262144, -343151/262144], [-1, -1], [-3, -3], [-2, -2]]]], [[7, 3, 4, 1, 3], [
And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2
+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1, -1], [-3, -3], [0, 0]]]], [[7, 3, 4, 1, 4
], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y <
-u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1, -1], [-3, -3], [2, 2]]]], [[7, 3, 4, 1, 5], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, (1-y)^
(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1
, -1], [-3, -3], [3, 3]]]], [[7, 7, 4, 6, 1], [And(0 < v,v < 1), And(-v < u,u
< v), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-1, -1], [1/4, 1/4], [-2, -2]]]], [[7, 7, 4, 6, 2], [And(0 < v,v
< 1), And(-v < u,u < v), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/4, 1/4], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 7, 4, 6, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
= -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/4, 1/4], [-1/8388608, -1/
8388608]]]], [[7, 7, 4, 6, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y
= -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1,
-1], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [[7, 7, 4, 6, 5], [And(0
< v,v < 1), And(-v < u,u < v), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/4, 1/4], [2, 2]]]], [[7, 9, 5
, 5, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v
^2-1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152]
, [106039/1048576, 106039/1048576], [-2, -2]]]], [[7, 9, 5, 5, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y <
u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/
1048576, 106039/1048576], [-3500723/4194304, -1750361/2097152]]]], [[7, 9, 5,
5, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2
-1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [-1/4194304, -1/
4194304]]]], [[7, 9, 5, 5, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [218795/262144,
875181/1048576]]]], [[7, 9, 5, 5, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)
^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995
/2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [2, 2]]]], [[7,
11, 5, 1, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[7,
11, 5, 1, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-3, -3], [-7846825/4194304
, -980853/524288]]]], [[7, 11, 5, 1, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[7, 11, 5, 1, 4], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-
x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[7, 11,
5, 1, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1
< x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[7, 13, 1,
9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, u^2-v^2-x-1 < y,
z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [20, 20], [0, 0]]]],
[[8, 3, 6, 2, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = -u^2, z <
u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
2594959/1048576, -1297479/524288], [-3, -3]]]], [[8, 3, 6, 2, 2], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), x = 0, y = -u^2, z = u], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [0, 0], [-2594959/1048576, -1297479/
524288], [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 6, 2, 3], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = -u^2, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
2594959/1048576, -1297479/524288], [-1/4194304, -1/4194304]]]], [[8, 3, 6, 2,
4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = -u^2, z = -u], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
2594959/1048576, -1297479/524288], [412387/262144, 1649549/1048576]]]], [[8, 3
, 6, 2, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = -u^2, -u < z],
[regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
2594959/1048576, -1297479/524288], [3, 3]]]], [[8, 5, 5, 1, 1], [v = 1, And(-2
^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-2, -2], [-3, -3]]]], [[8, 5, 5, 1, 2], [v = 1, 
And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-2, -2], [-3491269/2097152, -872817/524288]]]], [
[8, 5, 5, 1, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y <
-u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2,
-2], [0, 0]]]], [[8, 5, 5, 1, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x
,x < u^2-2), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2, -2], [
872817/524288, 1745635/1048576]]]], [[8, 5, 5, 1, 5], [v = 1, And(-2^(1/2) < u
,u < -1), And(-1 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-2, -2], [3, 3]]]], [[8, 11, 6, 7, 1], [v = 1, And(1 < u,u < 2^(1/2
)), x = u^2-2, -u^2+2 < y, z = z], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2], [0, 0]]]], [[8,
13, 5, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1
/2], [1/2, 1/2], [-1, -1]]]], [[8, 13, 5, 6, 2], [v = 1, And(2^(1/2) < u,u < 3
^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[8, 13, 5, 6,
3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1/2
, 1/2], [1, 1]]]], [[9, 1, 9, 8, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/
2), And(1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152
], [363259/131072, 2906073/1048576], [0, 0]]]], [[9, 3, 6, 7, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, u^2-v^2-1 < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [0, 0], [2, 2], [0, 0]]]], [[9, 13, 7, 3, 1], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0)
, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [-384703/524288, -384703/524288], [-2, -2]]]],
[[9, 13, 7, 3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-139585/524288, -139585/524288], [-384703/524288, -384703/
524288], [-1, -1]]]], [[9, 13, 7, 3, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x
-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288
, -139585/524288], [-384703/524288, -384703/524288], [0, 0]]]], [[9, 13, 7, 3,
4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [-384703/524288, -384703/524288], [1, 1]]]], [
[9, 13, 7, 3, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u
^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-139585/524288, -139585/524288], [-384703/524288, -384703/524288],
[2, 2]]]], [[9, 15, 5, 9, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1
/2], [2, 2], [0, 0]]]], [[10, 1, 10, 2, 1], [v = 2^(1/2), u < -2, x = u^2-3, y
= -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [6, 6], [-14, -14], [-4, -4]]]], [[10, 1, 10, 2, 2], [v =
2^(1/2), u < -2, x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [-14, -14], [-2965821/
1048576, -11863283/4194304]]]], [[10, 1, 10, 2, 3], [v = 2^(1/2), u < -2, x =
u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [-14, -14]
, [-3/8388608, -3/8388608]]]], [[10, 1, 10, 2, 4], [v = 2^(1/2), u < -2, x = u
^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [6, 6], [-14, -14], [741455/262144, 2965821/
1048576]]]], [[10, 1, 10, 2, 5], [v = 2^(1/2), u < -2, x = u^2-3, y = -2*u^2+4
, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [6, 6], [-14, -14], [4, 4]]]], [[10, 3, 7, 3, 1], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [-6216173/4194304, -\
6216173/4194304], [-3, -3]]]], [[10, 3, 7, 3, 2], [v = 2^(1/2), And(-2 < u,u <
-3^(1/2)), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339
/2097152], [505467/2097152, 505467/2097152], [-6216173/4194304, -6216173/
4194304], [-4563/4096, -1168127/1048576]]]], [[10, 3, 7, 3, 3], [v = 2^(1/2),
And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/
2097152], [-6216173/4194304, -6216173/4194304], [0, 0]]]], [[10, 3, 7, 3, 4],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(-u^2-x+1 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-\
6216173/4194304, -6216173/4194304], [1168127/1048576, 4563/4096]]]], [[10, 3,
7, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(-u
^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/2097152, 
505467/2097152], [-6216173/4194304, -6216173/4194304], [3, 3]]]], [[10, 9, 7,
4, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = -x, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [
-3/8, -3/8], [-1, -1]]]], [[10, 9, 7, 4, 2], [v = 2^(1/2), And(-1 < u,u < 0),
And(0 < x,x < -u^2+1), y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-3/8, -3/8], [0, 0]]]], [[10, 9,
7, 4, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = -x, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8
], [-3/8, -3/8], [1, 1]]]], [[10, 11, 4, 3, 1], [v = 2^(1/2), And(0 < u,u < 1)
, x = -1, And(u^2-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-7/8, -7/8], [-3, -3]]]], [[
10, 11, 4, 3, 2], [v = 2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0)
, z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2,
1/2], [-1, -1], [-7/8, -7/8], [-717911/524288, -1435821/1048576]]]], [[10, 11,
4, 3, 3], [v = 2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0), And(-(
1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [-7/8, -7/8], [0, 0]]]], [[10, 11, 4, 3, 4], [
v = 2^(1/2), And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0), z = (1-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-7/8
, -7/8], [1435821/1048576, 717911/524288]]]], [[10, 11, 4, 3, 5], [v = 2^(1/2)
, And(0 < u,u < 1), x = -1, And(u^2-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-7/8,
-7/8], [3, 3]]]], [[10, 15, 5, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 
And(-1 < x,x < u^2-3), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693
/4194304, -3198693/4194304], [-2, -2], [-3, -3]]]], [[10, 15, 5, 1, 2], [v = 2
^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y < -u^2-x+1, z = -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-2, -2], [-3485709/
2097152, -871427/524288]]]], [[10, 15, 5, 1, 3], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), And(-1 < x,x < u^2-3), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-3198693/4194304, -3198693/4194304], [-2, -2], [0, 0]]]], [
[10, 15, 5, 1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3)
, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-2, -2], [871427/524288, 1742855/1048576]]]], [[10, 15, 5, 1, 5], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y < -u^2-x+1, (-x-
y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-2, -2], [3,
3]]]], [[10, 17, 3, 9, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 <
x,x < -1), u^2-x-3 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [4, 4], [0, 0]]]], [[10, 19, 1, 7, 1], [v = 2^(1/2), 2 < u, x < -u^2
+1, And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [12, 12], [0, 0]]]], [[11, 1, 7, 6, 1], [2^(1/2) <
v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3
], [-5, -5], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 5, 5, 1, 1], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z
< -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-1579769/2097152, -1579769/2097152], [-2, -2], [-3, -3]]]], [[11, 5, 5, 1, 2],
[2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -
u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [-3479815/
2097152, -1739907/1048576]]]], [[11, 5, 5, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [0, 0]]]], [[11, 5, 5
, 1, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-\
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [
1739907/1048576, 434977/262144]]]], [[11, 5, 5, 1, 5], [2^(1/2) < v, And(-(v^2
+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/
2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/
2097152, -1579769/2097152], [-2, -2], [3, 3]]]], [[11, 7, 5, 5, 1], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -
u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576, 133001/
1048576], [-2, -2]]]], [[11, 7, 5, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1
)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [133001/1048576, 133001/1048576], [-103163/
131072, -3301215/4194304]]]], [[11, 7, 5, 5, 3], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576,
133001/1048576], [-3/8388608, -3/8388608]]]], [[11, 7, 5, 5, 4], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2
+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576, 133001/
1048576], [825303/1048576, 103163/131072]]]], [[11, 7, 5, 5, 5], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2
+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576, 133001/
1048576], [2, 2]]]], [[11, 12, 9, 1, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 <
x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [2, 2], [-6, -6], [-3, -3]]]], [[11, 12, 9, 1, 2], [2^(1/2) < v,
u = (v^2-2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [2774271/1048576, 10837/4096], [2, 2], [-6, -6], [-2, -2]]]], [[11, 12, 9,
1, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [
2, 2], [-6, -6], [0, 0]]]], [[11, 12, 9, 1, 4], [2^(1/2) < v, u = (v^2-2)^(1/2
), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [2, 2], [-6, -6], [2, 2]]]], [[11, 12, 9, 1, 5], [2^(1/2
) < v, u = (v^2-2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [2774271/1048576, 10837/4096], [2, 2], [-6, -6], [3, 3]]]], [[11, 14,
7, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[11, 14, 7, 3, 2], [2^(1/2)
< v, u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [
-3/2, -3/2], [-1, -1]]]], [[11, 14, 7, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2),
And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-3
/2, -3/2], [0, 0]]]], [[11, 14, 7, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And
(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[11
, 14, 7, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821
/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[11, 18, 8, 5, 1], [2^(1/2) <
v, u = (v^2+1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3
], [207243/65536, 3315889/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 20,
5, 6, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [1/2
, 1/2], [-1, -1]]]], [[11, 20, 5, 6, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(
-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[11, 20, 5, 6, 3], [2^(
1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain
, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]
]]], [[1, 5, 6, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v
^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2
], [-3, -3]]]], [[1, 5, 6, 1, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v)
, x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/
2097152], [-2, -2], [-3320253/2097152, -830063/524288]]]], [[1, 5, 6, 1, 3], [
v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y < -2*u^2+2*v^2,
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3
, -3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152],
[-2, -2], [0, 0]]]], [[1, 5, 6, 1, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [-2, -2], [830063/524288, 1660127/1048576]]]], [[1, 5, 6, 1
, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y < -2*u^2+
2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2], [3, 3]]]], [[1
, 7, 7, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 <
x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-\
1322295/1048576, -661147/524288], [-3, -3]]]], [[1, 7, 7, 2, 2], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-516571/2097152, -516571/2097152], [-1322295/1048576, -661147/
524288], [-1287385/1048576, -160923/131072]]]], [[1, 7, 7, 2, 3], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3
], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [
-1322295/1048576, -661147/524288], [0, 0]]]], [[1, 7, 7, 2, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-1322295/1048576, -661147/
524288], [160923/131072, 1287385/1048576]]]], [[1, 7, 7, 2, 5], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u
^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-1322295/1048576, -661147/
524288], [3, 3]]]], [[1, 11, 4, 2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [-9, -9], [-5, -5]]]], [[1, 11, 4,
2, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = u
^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -1],
[-9, -9], [-3315889/1048576, -207243/65536]]]], [[1, 11, 4, 2, 3], [v < -2^(1/
2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0],
[-1, -1], [-9, -9], [0, 0]]]], [[1, 11, 4, 2, 4], [v < -2^(1/2), And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [-9, -9], [207243/65536, 3315889/
1048576]]]], [[1, 11, 4, 2, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3
, -3], [0, 0], [-1, -1], [-9, -9], [5, 5]]]], [[1, 13, 1, 5, 1], [v < -2^(1/2)
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-4, -4], [1439605/524288, 1439605/524288], [-3, -3]]]], [[1,
13, 1, 5, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2
-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [1435023/524288, 1435023/524288], [-4, -4], [1439605/524288, 1439605/
524288], [-1174299/1048576, -587149/524288]]]], [[1, 13, 1, 5, 3], [v < -2^(1/
2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3]
, [1435023/524288, 1435023/524288], [-4, -4], [1439605/524288, 1439605/524288]
, [0, 0]]]], [[1, 13, 1, 5, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [1439605
/524288, 1439605/524288], [587149/524288, 1174299/1048576]]]], [[1, 13, 1, 5,
5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, 
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-4, -4], [1439605/524288, 1439605/524288], [
3, 3]]]], [[1, 18, 9, 7, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, 0 < y, z
= z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [1,
1], [0, 0]]]], [[1, 20, 7, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,
x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[1, 20,
7, 3, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[1, 20,
7, 3, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [-2, -2], [0, 0]]]], [[1, 20, 7,
3, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[1, 20, 7
, 3, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [1/2, 1/2], [-2, -2], [3, 3]]]], [[2, 3, 2, 3, 1], [v = -2^(1/2), And
(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 
2602619/2097152], [-3, -3]]]], [[2, 3, 2, 3, 2], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 
2602619/2097152], [-4563/4096, -1168127/1048576]]]], [[2, 3, 2, 3, 3], [v = -2
^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^2-
y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-650655/262144, -\
2602619/1048576], [2602619/2097152, 2602619/2097152], [0, 0]]]], [[2, 3, 2, 3,
4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1),
z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [
2602619/2097152, 2602619/2097152], [1168127/1048576, 4563/4096]]]], [[2, 3, 2,
3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-\
1), (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [
2602619/2097152, 2602619/2097152], [3, 3]]]], [[2, 5, 1, 6, 1], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), x < -u^2+1, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [1297479/524288, 2594959/1048576], [-2, -2]]]], [[
2, 5, 1, 6, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = u^2-x-\
3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-3, -3], [1297479/524288, 2594959/
1048576], [-379975/524288, -1519899/2097152]]]], [[2, 5, 1, 6, 3], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,
z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [1297479/524288, 2594959/1048576
], [-1/4194304, -1/4194304]]]], [[2, 5, 1, 6, 4], [v = -2^(1/2), And(-3^(1/2)
< u,u < v), x < -u^2+1, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -\
3], [1297479/524288, 2594959/1048576], [759949/1048576, 379975/524288]]]], [[2
, 5, 1, 6, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = u^2-x-3
, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [1297479/524288, 2594959/1048576
], [2, 2]]]], [[2, 7, 2, 4, 1], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, y
= -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/
1048576], [569265/524288, 1138531/1048576], [-2, -2]]]], [[2, 7, 2, 4, 2], [v
= -2^(1/2), And(v < u,u < -1), x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3235683/2097152, -1617841/1048576], [569265/524288, 
1138531/1048576], [-1417877/2097152, -354469/524288]]]], [[2, 7, 2, 4, 3], [v
= -2^(1/2), And(v < u,u < -1), x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z
,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
569265/524288, 1138531/1048576], [0, 0]]]], [[2, 7, 2, 4, 4], [v = -2^(1/2), 
And(v < u,u < -1), x = u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
-3235683/2097152, -1617841/1048576], [569265/524288, 1138531/1048576], [354469
/524288, 708939/1048576]]]], [[2, 7, 2, 4, 5], [v = -2^(1/2), And(v < u,u < -1
), x = u^2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3235683/
2097152, -1617841/1048576], [569265/524288, 1138531/1048576], [2, 2]]]], [[2,
9, 1, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(-x < y,y < -u^2-
x+1), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2
], [-4, -4], [35/8, 35/8], [0, 0]]]], [[2, 12, 7, 3, 1], [v = -2^(1/2), u = 1,
And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]
]], [[2, 12, 7, 3, 2], [v = -2^(1/2), u = 1, And(0 < x,x < 1), And(-x-2 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1, 1], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[2, 12, 7, 3, 3], [v = -2^(1
/2), u = 1, And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [
1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[2, 12, 7, 3, 4], [v = -2^(1/2), u = 1, 
And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]],
[[2, 12, 7, 3, 5], [v = -2^(1/2), u = 1, And(0 < x,x < 1), And(-x-2 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[2, 14, 6, 4, 1], [v = -2^(1/2), u =
-v, x = 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288]
, [741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[2, 14, 6,
4, 2], [v = -2^(1/2), u = -v, x = 1, y = -1, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-\
1, -1], [0, 0]]]], [[2, 14, 6, 4, 3], [v = -2^(1/2), u = -v, x = 1, y = -1, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [1, 1], [-1, -1], [1, 1]]]], [[3, 1, 2, 5, 1], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2
*v^2), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3]
, [-4478937/524288, -8957873/1048576], [6194117/524288, 6194117/524288], [0, 0
]]]], [[3, 2, 9, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x,
y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [-3, -3]]]],
[[3, 2, 9, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y < -x
-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [-2, -2]]]], [[3, 2, 9
, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [0,
0]]]], [[3, 2, 9, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x,
y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [2, 2]]]], [
[3, 2, 9, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y < -x-\
3, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3899297/2097152, -7798593/4194304], [2, 2], [-6, -6], [3, 3]]]], [[3, 6, 7, 4
, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = -x, z < 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [
2, 2], [-2, -2], [-1, -1]]]], [[3, 6, 7, 4, 2], [And(-2^(1/2) < v,v < -1), u =
v, 1 < x, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1265743/1048576, -1265743/1048576], [2, 2], [-2, -2], [0, 0]]]], [[3, 6,
7, 4, 3], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-2, -2], [1, 1]]]], [[3, 8, 8, 5, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 1, 3, 2, 1], [v = -1, u
< -3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, z < u], [regular_chain, [[-1, -1
], [-3, -3], [-5, -5], [-4, -4], [-4, -4]]]], [[4, 1, 3, 2, 2], [v = -1, u < -
3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, z = u], [regular_chain, [[-1, -1],
[-3, -3], [-5, -5], [-4, -4], [-3, -3]]]], [[4, 1, 3, 2, 3], [v = -1, u < -3^(
1/2), And(-u^2 < x,x < -1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[
-1, -1], [-3, -3], [-5, -5], [-4, -4], [0, 0]]]], [[4, 1, 3, 2, 4], [v = -1, u
< -3^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain, [[-1, -\
1], [-3, -3], [-5, -5], [-4, -4], [3, 3]]]], [[4, 1, 3, 2, 5], [v = -1, u < -3
^(1/2), And(-u^2 < x,x < -1), y = -u^2-x, -u < z], [regular_chain, [[-1, -1],
[-3, -3], [-5, -5], [-4, -4], [4, 4]]]], [[4, 2, 9, 5, 1], [v = -1, u = -3^(1/
2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [2, 2], [-3/2, -3/2], [0, 0]]]], [[4, 6, 7, 6, 1],
[v = -1, u = -1, 1 < x, y = 0, z = z], [regular_chain, [[-1, -1], [-1, -1], [2
, 2], [0, 0], [0, 0]]]], [[4, 8, 8, 7, 1], [v = -1, u = 0, x = 1, 0 < y, z = z
], [regular_chain, [[-1, -1], [0, 0], [1, 1], [1, 1], [0, 0]]]], [[4, 14, 6, 6
, 1], [v = -1, u = 3^(1/2), x = 0, y = 1, z = z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [0, 0], [1, 1], [0, 0]]]], [[5, 1, 4, 2, 1],
[And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [-35/4, -35/4], [-\
5, -5]]]], [[5, 1, 4, 2, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, y
= -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3],
[-1, -1], [-35/4, -35/4], [-1637089/524288, -3274177/1048576]]]], [[5, 1, 4, 2
, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3,
-3], [-1, -1], [-35/4, -35/4], [0, 0]]]], [[5, 1, 4, 2, 4], [And(-1 < v,v < 0)
, u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [-35/4, -35/4], [3274177/
1048576, 1637089/524288]]]], [[5, 1, 4, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [-3, -3], [-1, -1], [-35/4, -35/4], [5, 5]]]], [[5, 4, 9, 7, 1], [And(-\
1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-1/2
, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [1, 1], [0, 0]]]], [[5, 7
, 1, 8, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = -x, z <
0], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [3, 3], [-1, -1]]]], [[5,
7, 1, 8, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = -x, z =
0], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [3, 3], [0, 0]]]], [[5, 7
, 1, 8, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = -x, 0 <
z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [3, 3], [1, 1]]]], [[5, 9
, 3, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152],
[-2, -2], [-3, -3]]]], [[5, 9, 3, 1, 2], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309
/2097152, -2521309/2097152], [-2, -2], [-7505641/4194304, -938205/524288]]]],
[[5, 9, 3, 1, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-2, -2], [0, 0]]]], [[5, 9, 3, 1, 4], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [938205/
524288, 1876411/1048576]]]], [[5, 9, 3, 1, 5], [And(-1 < v,v < 0), And(-v < u,
u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-2, -2], [3, 3]]]], [[5, 11, 2, 2, 1], [
And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y
= 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [-3, -3]]]], [[5,
11, 2, 2, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [-\
3291611/2097152, -1645805/1048576]]]], [[5, 11, 2, 2, 3], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2
+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [0, 0]]]]
, [[5, 11, 2, 2, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [0,
0], [1645805/1048576, 822903/524288]]]], [[5, 11, 2, 2, 5], [And(-1 < v,v < 0)
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-\
2583195/1048576, -1291597/524288], [0, 0], [3, 3]]]], [[6, 1, 5, 9, 1], [v = 0
, u < -2^(1/2), And(-1 < x,x < 0), u^2-x-1 < y, z = z], [regular_chain, [[0, 0
], [-3, -3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[6, 3, 3, 5, 1], [v = 0, And(
-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-\
1812519/1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [-2, -\
2]]]], [[6, 3, 3, 5, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x <
-1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [1812519/
2097152, 1812519/2097152], [-7798593/8388608, -121853/131072]]]], [[6, 3, 3, 5
, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [
1812519/2097152, 1812519/2097152], [0, 0]]]], [[6, 3, 3, 5, 4], [v = 0, And(-2
^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [121853/131072
, 974825/1048576]]]], [[6, 3, 3, 5, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(
-u^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576]
, [1812519/2097152, 1812519/2097152], [2, 2]]]], [[6, 9, 3, 2, 1], [v = 0, And
(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = -u^2-x-1, z < -(u^2+1)^(1/2)]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/
1048576, -1812519/1048576], [-95493/131072, -1527887/2097152], [-3, -3]]]], [[
6, 9, 3, 2, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = -u
^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1812519/1048576, -1812519/1048576], [-95493/131072, -\
1527887/2097152], [-410915/262144, -3287319/2097152]]]], [[6, 9, 3, 2, 3], [v
= 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = -u^2-x-1, And(-(u^2+1
)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1812519/1048576, -1812519/1048576], [-95493/131072, -\
1527887/2097152], [-1/4194304, -1/4194304]]]], [[6, 9, 3, 2, 4], [v = 0, And(1
< u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576,
-1812519/1048576], [-95493/131072, -1527887/2097152], [1643659/1048576, 410915
/262144]]]], [[6, 9, 3, 2, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,
x < -1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [-95493/
131072, -1527887/2097152], [3, 3]]]], [[6, 10, 9, 5, 1], [v = 0, u = 2^(1/2),
1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [2, 2], [-3/2, -3/2], [0, 0]]]], [[7, 3, 4, 3, 1], [And(0 <
v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y
,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [-3, -3]]]], [[7
, 3, 4, 3, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [-343151/262144, -343151/262144], [-1, -1], [-767309/1048576, -767309/
1048576], [-1379889/1048576, -86243/65536]]]], [[7, 3, 4, 3, 3], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y <
0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1, -1], [-767309/1048576, -767309/1048576],
[0, 0]]]], [[7, 3, 4, 3, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [-\
767309/1048576, -767309/1048576], [86243/65536, 1379889/1048576]]]], [[7, 3, 4
, 3, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1
, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1, -1], [-767309/1048576, -767309/1048576],
[3, 3]]]], [[7, 5, 3, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/1048576, 159059/262144], [-2, -2]]]], [[7,
5, 3, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1
< x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [636235/1048576, 159059/262144], [-1618333/2097152, -3236665/4194304
]]]], [[7, 5, 3, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And
(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^
2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-2521309/2097152, -2521309/2097152], [636235/1048576, 159059/262144
], [-1/8388608, -1/8388608]]]], [[7, 5, 3, 6, 4], [And(0 < v,v < 1), And(-(v^2
+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-2521309/2097152, -2521309/2097152], [636235/1048576, 159059/262144
], [404583/524288, 809167/1048576]]]], [[7, 5, 3, 6, 5], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-2521309/2097152, -2521309/2097152], [636235/1048576, 
159059/262144], [2, 2]]]], [[8, 1, 8, 6, 1], [v = 1, u < -3^(1/2), x = 1, y =
0, z = z], [regular_chain, [[1, 1], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[8,
3, 5, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8, 3, 5, 5, 2], [v
= 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[8, 3, 5, 5, 3], [v = 1, And(-3^(1
/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[8, 3, 5, 5, 4], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1
/2], [1/4, 1/4], [1/2, 1/2]]]], [[8, 3, 5, 5, 5], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1
/4, 1/4], [2, 2]]]], [[8, 7, 6, 5, 1], [v = 1, And(-1 < u,u < 0), x = -u^2, 
And(0 < y,y < u^2), z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2]
, [-1/4, -1/4], [1/8, 1/8], [-2, -2]]]], [[8, 7, 6, 5, 2], [v = 1, And(-1 < u,
u < 0), x = -u^2, And(0 < y,y < u^2), z = -(u^2-y)^(1/2)], [regular_chain, [[1
, 1], [-1/2, -1/2], [-1/4, -1/4], [1/8, 1/8], [-46341/131072, -370727/1048576]
]]], [[8, 7, 6, 5, 3], [v = 1, And(-1 < u,u < 0), x = -u^2, And(0 < y,y < u^2)
, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [-1/2,
-1/2], [-1/4, -1/4], [1/8, 1/8], [0, 0]]]], [[8, 7, 6, 5, 4], [v = 1, And(-1 <
u,u < 0), x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)], [regular_chain, [[
1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/8, 1/8], [370727/1048576, 46341/131072]]
]], [[8, 7, 6, 5, 5], [v = 1, And(-1 < u,u < 0), x = -u^2, And(0 < y,y < u^2),
(u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/8,
1/8], [2, 2]]]], [[8, 9, 5, 4, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u
^2), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8
], [0, 0], [-2, -2]]]], [[8, 9, 5, 4, 2], [v = 1, And(0 < u,u < 1), And(-1 < x
,x < -u^2), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/
8, -5/8], [0, 0], [-3315889/4194304, -207243/262144]]]], [[8, 9, 5, 4, 3], [v
= 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [0, 0]]
]], [[8, 9, 5, 4, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = 0, z
= (-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [0, 0], [
207243/262144, 828973/1048576]]]], [[8, 9, 5, 4, 5], [v = 1, And(0 < u,u < 1),
And(-1 < x,x < -u^2), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1
/2], [-5/8, -5/8], [0, 0], [2, 2]]]], [[8, 15, 3, 5, 1], [v = 1, 3^(1/2) < u,
And(-u^2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[1, 1], [3, 3], [-5, -5], [5/2, 5/2], [-3, -3]]]], [[8, 15, 3, 5, 2], [v = 1,
3^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [5/2, 5/2], [-3315889/2097152, -\
207243/131072]]]], [[8, 15, 3, 5, 3], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1
), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1, 1], [3, 3], [-5, -5], [5/2, 5/2], [0, 0]]]], [[8, 15, 3, 5, 4], [v = 1,
3^(1/2) < u, And(-u^2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [5/2, 5/2], [207243/131072, 1657945/
1048576]]]], [[8, 15, 3, 5, 5], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), And
(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-5, -5],
[5/2, 5/2], [3, 3]]]], [[9, 1, 9, 2, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)
^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152
, 7909297/2097152], [-6456261/524288, -12912521/1048576], [-4, -4]]]], [[9, 1,
9, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1
), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-\
6456261/524288, -12912521/1048576], [-1532401/524288, -24518415/8388608]]]], [
[9, 1, 9, 2, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^
2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/
2097152, 7909297/2097152], [-6456261/524288, -12912521/1048576], [-7/16777216,
-7/16777216]]]], [[9, 1, 9, 2, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2)
, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152
, 7909297/2097152], [-6456261/524288, -12912521/1048576], [3064801/1048576, 
1532401/524288]]]], [[9, 1, 9, 2, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1
/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152
, 7909297/2097152], [-6456261/524288, -12912521/1048576], [4, 4]]]], [[9, 5, 6
, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-\
1, y = -u^2+v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [
558339/1048576, 139585/262144], [-1, -1]]]], [[9, 5, 6, 6, 2], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [558339/1048576, 139585
/262144], [0, 0]]]], [[9, 5, 6, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [558339/1048576, 139585/262144], [1, 1]]]],
[[9, 7, 7, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-823391/1048576, -\
823391/1048576], [-2, -2]]]], [[9, 7, 7, 3, 2], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/
1048576], [-823391/1048576, -823391/1048576], [-1, -1]]]], [[9, 7, 7, 3, 3], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-225185/1048576, -225185/1048576], [-823391/1048576, -\
823391/1048576], [0, 0]]]], [[9, 7, 7, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u
^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/
1048576], [-823391/1048576, -823391/1048576], [1, 1]]]], [[9, 7, 7, 3, 5], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-823391/1048576, -823391/1048576], [2, 2]]]
], [[9, 9, 6, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-\
1)^(1/2)), x = 0, -u^2+v^2-1 < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [2, 2], [0, 0]]]], [[9, 11, 5, 6, 1], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [149551/524288, 299103/1048576], [-2, -2]]]], [[9, 11, 5, 6, 2], [And
(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [149551/524288, 299103/1048576], [-1374407/2097152, -687203/1048576]]
]], [[9, 11, 5, 6, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [149551/
524288, 299103/1048576], [0, 0]]]], [[9, 11, 5, 6, 4], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [149551/
524288, 299103/1048576], [687203/1048576, 171801/262144]]]], [[9, 11, 5, 6, 5]
, [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v
^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [149551/524288, 299103/1048576], [2, 2]]]], [[9, 15, 6, 6, 1]
, [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y
= u^2-v^2-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [0, 0], [501965/1048576, 250983/524288], [0, 0]
]]], [[9, 17, 3, 7, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v
^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [8433585/1048576, 8433585/1048576], [0, 0]]]], [[10, 5, 7, 1, 1], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y < -u^2-x+1, z < -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-3, -3], [-\
3, -3]]]], [[10, 5, 7, 1, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-\
3 < x,x < 0), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [-3, -3], [-7576065/4194304, -14797/8192]]]], [[10
, 5, 7, 1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y
< -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [-3, -3], [0, 0]]]], [[10, 5, 7, 1, 4], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [-3, -3], [14797/8192,
1894017/1048576]]]], [[10, 5, 7, 1, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, And(u^2-3 < x,x < 0), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-3, -3], [3, 3]]]], [[10, 7, 7, 5, 1], [v
= 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-\
239655/2097152, -239655/2097152], [-2, -2]]]], [[10, 7, 7, 5, 2], [v = 2^(1/2)
, And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-239655/
2097152, -239655/2097152], [-1227917/2097152, -306979/524288]]]], [[10, 7, 7,
5, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(-u^2-x+1 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [-239655/2097152, -239655/2097152], [0, 0]]]], [[10
, 7, 7, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(-u
^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/
1048576], [-239655/2097152, -239655/2097152], [306979/524288, 613959/1048576]]
]], [[10, 7, 7, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0)
, And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [-239655/2097152, -239655/2097152], [2, 2]]]], [[10, 11, 4, 9
, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -1, -u^2+2 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [3, 3]
, [0, 0]]]], [[10, 13, 3, 8, 1], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x
,x < -1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
166651/131072, 1333209/1048576], [-1, -1]]]], [[10, 13, 3, 8, 2], [v = 2^(1/2)
, And(1 < u,u < v), And(u^2-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417
/2097152, -2666417/2097152], [166651/131072, 1333209/1048576], [0, 0]]]], [[10
, 13, 3, 8, 3], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = -x,
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-2666417/2097152, -2666417/2097152], [166651/131072, 
1333209/1048576], [1, 1]]]], [[11, 3, 5, 5, 1], [2^(1/2) < v, And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2,
-1/2], [1/4, 1/4], [-2, -2]]]], [[11, 3, 5, 5, 2], [2^(1/2) < v, And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/
2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[11, 3, 5, 5, 3], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 3, 5, 5
, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 3,
5, 5, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x
,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11,
5, 4, 4, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 0, z <
-1], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [0,
0], [-2, -2]]]], [[11, 5, 4, 4, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -
v), x = -1, y = 0, z = -1], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1, -1], [0, 0], [-1, -1]]]], [[11, 5, 4, 4, 3], [2^(1/2) < v, And(-
(v^2+1)^(1/2) < u,u < -v), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-1, -1], [0, 0], [0, 0]]]], [[11,
5, 4, 4, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 0, z =
1], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [0, 0
], [1, 1]]]], [[11, 5, 4, 4, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1, -1], [0, 0], [2, 2]]]], [[11, 9, 5, 2, 1], [2^(1/2) < v, And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z < -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [-526475/262144, -2105899/1048576], [-3, -3]]]], [[11,
9, 5, 2, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1
< x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-526475/262144, -\
2105899/1048576], [-3321417/2097152, -415177/262144]]]], [[11, 9, 5, 2, 3], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y =
u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[-526475/262144, -2105899/1048576], [0, 0]]]], [[11, 9, 5, 2, 4], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x
-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [-526475/262144, -2105899/1048576], [415177/
262144, 1660709/1048576]]]], [[11, 9, 5, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(
1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-\
1/2, -1/2], [-526475/262144, -2105899/1048576], [3, 3]]]], [[11, 11, 2, 1, 1],
[2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y < 0,
z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [-1,
-1], [-5, -5]]]], [[11, 11, 2, 1, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-10, -10], [-1, -1], [-1738867/524288, -\
3477733/1048576]]]], [[11, 11, 2, 1, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-
u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-10, -10], [-1, -1], [
0, 0]]]], [[11, 11, 2, 1, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)
^(1/2)), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3,
3], [0, 0], [-10, -10], [-1, -1], [3477733/1048576, 1738867/524288]]]], [[11,
11, 2, 1, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2
-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-\
10, -10], [-1, -1], [5, 5]]]], [[11, 16, 7, 2, 1], [2^(1/2) < v, u = v, 1 < x,
y = -1-x, z < -1], [regular_chain, [[3, 3], [3, 3], [2, 2], [-3, -3], [-2, -2]
]]], [[11, 16, 7, 2, 2], [2^(1/2) < v, u = v, 1 < x, y = -1-x, z = -1], [
regular_chain, [[3, 3], [3, 3], [2, 2], [-3, -3], [-1, -1]]]], [[11, 16, 7, 2,
3], [2^(1/2) < v, u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain,
[[3, 3], [3, 3], [2, 2], [-3, -3], [0, 0]]]], [[11, 16, 7, 2, 4], [2^(1/2) < v
, u = v, 1 < x, y = -1-x, z = 1], [regular_chain, [[3, 3], [3, 3], [2, 2], [-3
, -3], [1, 1]]]], [[11, 16, 7, 2, 5], [2^(1/2) < v, u = v, 1 < x, y = -1-x, 1
< z], [regular_chain, [[3, 3], [3, 3], [2, 2], [-3, -3], [2, 2]]]], [[11, 18,
7, 6, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [0, 0], [
0, 0]]]], [[1, 1, 9, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u
^2-v^2-1), y = -x, z < 0], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [-8, -\
8], [-1, -1]]]], [[1, 1, 9, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-3, -3], [-5, -5], [8, 8],
[-8, -8], [0, 0]]]], [[1, 1, 9, 4, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(
1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-5, -5], [8,
8], [-8, -8], [1, 1]]]], [[1, 3, 6, 7, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 0, u^2-v^2-1 < y, z = z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [0, 0], [2, 2], [0, 0]]]], [[1, 7, 7,
5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0)
, And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-\
129143/1048576, -129143/1048576], [-2, -2]]]], [[1, 7, 7, 5, 2], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 <
y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [-129143/1048576, -\
129143/1048576], [-1274753/2097152, -9959/16384]]]], [[1, 7, 7, 5, 3], [v < -2
^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2
-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/
2097152], [-129143/1048576, -129143/1048576], [0, 0]]]], [[1, 7, 7, 5, 4], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2
+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-129143/
1048576, -129143/1048576], [9959/16384, 637377/1048576]]]], [[1, 7, 7, 5, 5],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-
u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-\
129143/1048576, -129143/1048576], [2, 2]]]], [[1, 9, 6, 6, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = -u^2+v^2-1, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [
533035/1048576, 133259/262144], [0, 0]]]], [[1, 14, 9, 5, 1], [v < -2^(1/2), u
= (v^2-1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3],
[741455/262144, 2965821/1048576], [2, 2], [-1, -1], [0, 0]]]], [[1, 17, 1, 6,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-
x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-3, -3], [2614535/1048576, 326817/131072], [-2, -2]]]], [[1,
17, 1, 6, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y
= u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-3, -3], [2614535/1048576, 326817/131072], [-373161/
524288, -1492643/2097152]]]], [[1, 17, 1, 6, 3], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [2614535/1048576, 326817/131072], [-1/4194304, -1/4194304]]
]], [[1, 17, 1, 6, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+
v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-3, -3], [2614535/1048576, 326817/131072], [
746321/1048576, 373161/524288]]]], [[1, 17, 1, 6, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [
2614535/1048576, 326817/131072], [2, 2]]]], [[1, 20, 7, 6, 1], [v < -2^(1/2),
u = (v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 1, 4, 9
, 1], [v = -2^(1/2), u < -2, x = -1, u^2-2 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [8, 8], [0, 0]]]], [[2,
10, 8, 1, 1], [v = -2^(1/2), u = 0, x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-5, -5],
[-3, -3]]]], [[2, 10, 8, 1, 2], [v = -2^(1/2), u = 0, x = 1, y < -4, z = -(-y-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1]
, [-5, -5], [-2, -2]]]], [[2, 10, 8, 1, 3], [v = -2^(1/2), u = 0, x = 1, y < -\
4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [1, 1], [-5, -5], [0, 0]]]], [[2, 10, 8, 1,
4], [v = -2^(1/2), u = 0, x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-5, -5], [2, 2]]]], [[2, 
10, 8, 1, 5], [v = -2^(1/2), u = 0, x = 1, y < -4, (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-5, -5],
[3, 3]]]], [[2, 12, 6, 5, 1], [v = -2^(1/2), u = 1, x = 0, 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [1, 1], [0
, 0]]]], [[2, 16, 7, 5, 1], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(
-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 18,
5, 3, 1], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1
/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[2, 18, 5, 3, 2], [v = -2^(1/2), u = 2,
And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [-5/4, -5/4], [-10837
/8192, -1387135/1048576]]]], [[2, 18, 5, 3, 3], [v = -2^(1/2), u = 2, And(-1 <
x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [-5/
4, -5/4], [0, 0]]]], [[2, 18, 5, 3, 4], [v = -2^(1/2), u = 2, And(-1 < x,x < 0
), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/
8192]]]], [[2, 18, 5, 3, 5], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), And(-x-3
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[3, 4, 7, 7, 1], [And
(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 6, 7, 1, 1], [And(-2^(1/
2) < v,v < -1), u = v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-4, -4], [-3, -3]]]], [[3, 6, 7, 1, 2], [And(-2^(1/2) < v,v < -1), u = v,
1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-4, -4], [-\
1482911/1048576, -741455/524288]]]], [[3, 6, 7, 1, 3], [And(-2^(1/2) < v,v < -\
1), u = v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-4, -4], [0, 0]]]], [[3, 6, 7, 1, 4], [And(-2^(1/2)
< v,v < -1), u = v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[3, 6, 7, 1, 5], [And(-2^(
1/2) < v,v < -1), u = v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [2
, 2], [-4, -4], [3, 3]]]], [[3, 10, 7, 6, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2-1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [0, 0
], [0, 0]]]], [[3, 12, 6, 7, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, 0 <
y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [1, 1], [0, 0]]]], [[3, 14, 8, 1, 1], [And(
-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [1, 1], [-4, -4], [-3, -3]]]], [[3, 14, 8, 1, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1
], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[3, 14, 8, 1, 3], [And(
-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,
z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]]
, [[3, 14, 8, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1, y <
-3, z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [1, 1], [-4, -4], [908093/524288, 1816187/
1048576]]]], [[3, 14, 8, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1643659/1048576, 410915/262144], [1, 1], [-4, -4], [3, 3]]]], [[3,
16, 5, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853
/65536, 1949649/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[3, 16, 5, 6
, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x,
z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[3, 16, 5, 6, 3], [And
(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 2, 9, 6, 1], [v = -1, u =
-3^(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[-1, -1], [-1816187/1048576
, -3632373/2097152], [2, 2], [-1, -1], [0, 0]]]], [[4, 4, 8, 5, 1], [v = -1, u
= -2^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 11, 1,
2, 1], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0]
, [-3, -3]]]], [[4, 11, 1, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[4, 11,
1, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[4, 11, 1, 2, 4], [v
= -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = 0, z = (-x)^(1/2)], [regular_chain
, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [908093/
524288, 1816187/1048576]]]], [[4, 11, 1, 2, 5], [v = -1, And(1 < u,u < 2^(1/2)
), x < -u^2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [0, 0], [3, 3]]]], [[4, 12, 9, 3, 1], [v
= -1, u = 2^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2], [-3, -3],
[-2, -2]]]], [[4, 12, 9, 3, 2], [v = -1, u = 2^(1/2), 1 < x, And(-x-2 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [-1, -1]]]], [[4, 12, 9, 3, 3], [v = -1, u = 2^(1/
2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2], [-3, -3],
[0, 0]]]], [[4, 12, 9, 3, 4], [v = -1, u = 2^(1/2), 1 < x, And(-x-2 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [1, 1]]]], [[4, 12, 9, 3, 5], [v = -1, u = 2^(1/2)
, 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [2, 2], [-3, -3], [2, 2]]]], [[5, 1, 4, 3, 1]
, [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [-35/8, -35/
8], [-4, -4]]]], [[5, 1, 4, 3, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x =
-1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-3, -3], [-1, -1], [-35/8, -35/8], [-151939/65536, -2431023/1048576]]]], [[5,
1, 4, 3, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,
y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2],
[-3, -3], [-1, -1], [-35/8, -35/8], [0, 0]]]], [[5, 1, 4, 3, 4], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [-35/8, -35/8], [2431023/
1048576, 151939/65536]]]], [[5, 1, 4, 3, 5], [And(-1 < v,v < 0), u < -(v^2+2)^
(1/2), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [-3, -3], [-1, -1], [-35/8, -35/8], [4, 4]]]], [[5, 3, 1, 6, 1], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1,
y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144
], [-4, -4], [4, 4], [-1, -1]]]], [[5, 3, 1, 6, 2], [And(-1 < v,v < 0), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [4,
4], [0, 0]]]], [[5, 3, 1, 6, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-1/2, -1/
2], [-343151/262144, -343151/262144], [-4, -4], [4, 4], [1, 1]]]], [[5, 12, 8,
5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z]
, [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-1/2, -1/2], [0, 0]]]],
[[6, 1, 5, 8, 1], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y = u^2-x-1, z = z]
, [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [17/2, 17/2], [0, 0]]]], [[
6, 5, 2, 6, 1], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y = u^2+1, z < 0], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [5/4, 5/4], [-1, -1]]]], [
[6, 5, 2, 6, 2], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y = u^2+1, z = 0], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [5/4, 5/4], [0, 0]]]], [[6
, 5, 2, 6, 3], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y = u^2+1, 0 < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [5/4, 5/4], [1, 1]]]], [[6
, 7, 3, 7, 1], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(u^2-x-1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/
8], [3/4, 3/4], [-2, -2]]]], [[6, 7, 3, 7, 2], [v = 0, And(0 < u,u < 1), And(-
u^2-1 < x,x < -1), And(u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/4, 3/4], [-1284239/2097152, -642119/
1048576]]]], [[6, 7, 3, 7, 3], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1
), And(u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/4, 3/4], [0, 0]]]], [[6,
7, 3, 7, 4], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(u^2-x-1 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8]
, [3/4, 3/4], [642119/1048576, 80265/131072]]]], [[6, 7, 3, 7, 5], [v = 0, And
(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(u^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/4, 3/4], [2, 2]]]],
[[7, 1, 6, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = u^2-v^2-1,
z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [31/4, 31/4], [0, 0]]]]
, [[7, 3, 4, 2, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2
], [-343151/262144, -343151/262144], [-1, -1], [-1534619/1048576, -767309/
524288], [-3, -3]]]], [[7, 3, 4, 2, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [-\
1534619/1048576, -767309/524288], [-3291611/2097152, -1645805/1048576]]]], [[7
, 3, 4, 2, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [-\
1534619/1048576, -767309/524288], [0, 0]]]], [[7, 3, 4, 2, 4], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[-1, -1], [-1534619/1048576, -767309/524288], [1645805/1048576, 822903/524288]
]]], [[7, 3, 4, 2, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1
/2], [-343151/262144, -343151/262144], [-1, -1], [-1534619/1048576, -767309/
524288], [3, 3]]]], [[7, 7, 4, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), x
= -1, And(0 < y,y < -u^2+v^2), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [-1, -1], [1/8, 1/8], [-2, -2]]]], [[7, 7, 4, 5, 2], [And(0 < v,v < 1)
, And(-v < u,u < v), x = -1, And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8], [-7846825/8388608, -\
980853/1048576]]]], [[7, 7, 4, 5, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
= -1, And(0 < y,y < -u^2+v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8], [0, 0]]]], [[7, 7, 4
, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(0 < y,y < -u^2+v^2)
, z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8],
[980853/1048576, 490427/524288]]]], [[7, 7, 4, 5, 5], [And(0 < v,v < 1), And(-
v < u,u < v), x = -1, And(0 < y,y < -u^2+v^2), (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1/8, 1/8], [2, 2]]]], [[7, 9, 5
, 4, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v
^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [-2, -2]]]], [
[7, 9, 5, 4, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [-\
7492423/8388608, -3746211/4194304]]]], [[7, 9, 5, 4, 3], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2
) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631
/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [-3/8388608, -3/
8388608]]]], [[7, 9, 5, 4, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, And(-1 < x,x < u^2-v^2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152],
[0, 0], [117069/131072, 936553/1048576]]]], [[7, 9, 5, 4, 5], [And(0 < v,v < 1
), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, (-x)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [0, 0], [2, 2]]]], [[7, 11, 4, 9, 1], [And
(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, u^2-v^2 < y,
z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1],
[3, 3], [0, 0]]]], [[7, 13, 1, 8, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-\
11, -11], [75/4, 75/4], [0, 0]]]], [[8, 3, 6, 3, 1], [v = 1, And(-3^(1/2) < u,
u < -2^(1/2)), x = 0, And(-u^2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [
[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-1297479/1048576, -\
1297479/1048576], [-3, -3]]]], [[8, 3, 6, 3, 2], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [0, 0], [-1297479/1048576, -1297479/
1048576], [-145801/131072, -1166407/1048576]]]], [[8, 3, 6, 3, 3], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[0, 0], [-1297479/1048576, -1297479/1048576], [0, 0]]]], [[8, 3, 6, 3, 4], [v
= 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(-u^2 < y,y < 0), z = (-y)^(1/2
)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
1297479/1048576, -1297479/1048576], [1166407/1048576, 145801/131072]]]], [[8,
3, 6, 3, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(-u^2 < y,y < 0
), (-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [0, 0], [-1297479/1048576, -1297479/1048576], [3, 3]]]], [[8, 5, 5,
2, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -u^2-x, z
< u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683
/4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [-3, -3]]]],
[[8, 5, 5, 2, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y =
-u^2-x, z = u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-3235683/4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [-\
1265743/1048576, -1265743/1048576]]]], [[8, 5, 5, 2, 3], [v = 1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [0, 0]]]], [[8
, 5, 5, 2, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -u
^2-x, z = -u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-3235683/4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [
1265743/1048576, 1265743/1048576]]]], [[8, 5, 5, 2, 5], [v = 1, And(-2^(1/2) <
u,u < -1), And(-1 < x,x < u^2-2), y = -u^2-x, -u < z], [regular_chain, [[1, 1]
, [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304],
[-359483/524288, -1437931/2097152], [3, 3]]]], [[8, 11, 6, 6, 1], [v = 1, And(
1 < u,u < 2^(1/2)), x = u^2-2, y = -u^2+2, z < 0], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/1048576, 284633/524288], [-1, -1]]]], [[8, 11, 6, 6, 2], [v = 1, And(1
< u,u < 2^(1/2)), x = u^2-2, y = -u^2+2, z = 0], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/1048576, 284633/524288], [0, 0]]]], [[8, 11, 6, 6, 3], [v = 1, And(1 <
u,u < 2^(1/2)), x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/1048576, 284633/524288], [1, 1]]]], [[8, 13, 5, 5, 1], [v = 1, And(2^(1
/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [
1/4, 1/4], [-2, -2]]]], [[8, 13, 5, 5, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)
), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1/4, 1/4], [-1/2, -\
1/2]]]], [[8, 13, 5, 5, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x
< 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1/4
, 1/4], [0, 0]]]], [[8, 13, 5, 5, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]
], [[8, 13, 5, 5, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0),
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 1, 9, 9,
1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), u^2
-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3
, -3], [7909297/2097152, 7909297/2097152], [4, 4], [0, 0]]]], [[9, 3, 7, 1, 1]
, [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 <
x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/2097152, 501965/2097152], [-4, -4], [-3, -3]]]], [[9, 3, 7, 1, 2], [And
(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x <
u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [-4, -4], [-32535017/16777216, -4066877/2097152]]]],
[[9, 3, 7, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-4, -\
4], [-1/4194304, -1/4194304]]]], [[9, 3, 7, 1, 4], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2
+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [-4, -4], [1016719/524288, 2033439/1048576]]]], [[9, 3, 7, 1, 5], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,
x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [-4, -4], [3, 3]]]], [[9, 13, 7, 2, 1], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v
^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [-629821/524288, -1259641/1048576], [-3, -3]]]], [[9, 13, 7, 2, 2], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u
^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [-629821/524288, -1259641/1048576], [-1270261/1048576, -317565/
262144]]]], [[9, 13, 7, 2, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^
(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-629821
/524288, -1259641/1048576], [0, 0]]]], [[9, 13, 7, 2, 4], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-629821/
524288, -1259641/1048576], [317565/262144, 1270261/1048576]]]], [[9, 13, 7, 2,
5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288
, -139585/524288], [-629821/524288, -1259641/1048576], [3, 3]]]], [[9, 15, 5,
8, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [1026253/
1048576, 513127/524288], [0, 0]]]], [[10, 1, 10, 3, 1], [v = 2^(1/2), u < -2,
x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [-10, -10]
, [-3, -3]]]], [[10, 1, 10, 3, 2], [v = 2^(1/2), u < -2, x = u^2-3, And(-2*u^2
+4 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [6, 6], [-10, -10], [-2, -2]]]], [[10, 1, 10, 3, 3
], [v = 2^(1/2), u < -2, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-y
+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [6, 6], [-10, -10], [0, 0]]]], [[10, 1, 10, 3, 4], [v = 2
^(1/2), u < -2, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [-10, -\
10], [2, 2]]]], [[10, 1, 10, 3, 5], [v = 2^(1/2), u < -2, x = u^2-3, And(-2*u^
2+4 < y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [6, 6], [-10, -10], [3, 3]]]], [[10, 3, 7, 4, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -x, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339
/2097152], [505467/2097152, 505467/2097152], [-126367/524288, -252733/1048576]
, [-1, -1]]]], [[10, 3, 7, 4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(
0 < x,x < u^2-3), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/
2097152], [-126367/524288, -252733/1048576], [0, 0]]]], [[10, 3, 7, 4, 3], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [-126367/524288, -252733/1048576],
[1, 1]]]], [[10, 9, 7, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -
u^2+1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-7/4, -7/4], [-3, -3]]]],
[[10, 9, 7, 3, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And
(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-7/4, -7/4], [-1229565/1048576, -\
307391/262144]]]], [[10, 9, 7, 3, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(0 <
x,x < -u^2+1), And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8
], [-7/4, -7/4], [0, 0]]]], [[10, 9, 7, 3, 4], [v = 2^(1/2), And(-1 < u,u < 0)
, And(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-\
7/4, -7/4], [307391/262144, 1229565/1048576]]]], [[10, 9, 7, 3, 5], [v = 2^(1/
2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [
3/8, 3/8], [-7/4, -7/4], [3, 3]]]], [[10, 11, 4, 2, 1], [v = 2^(1/2), And(0 <
u,u < 1), x = -1, y = u^2-2, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-7/4, -7/4], [-3, -3]]]], [[
10, 11, 4, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y = u^2-2, z = -(-u^
2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-\
1, -1], [-7/4, -7/4], [-1738867/1048576, -3477733/2097152]]]], [[10, 11, 4, 2,
3], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y = u^2-2, And(-(-u^2+3)^(1/2) < z
,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2
, 1/2], [-1, -1], [-7/4, -7/4], [-1/4194304, -1/4194304]]]], [[10, 11, 4, 2, 4
], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y = u^2-2, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-7/4,
-7/4], [869433/524288, 1738867/1048576]]]], [[10, 11, 4, 2, 5], [v = 2^(1/2),
And(0 < u,u < 1), x = -1, y = u^2-2, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-7/4, -7/4], [3, 3]]]]
, [[10, 15, 5, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2
-3), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [-1493417/2097152, -186677/262144], [-3, -3]]]], [[10, 15, 5
, 2, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = -u^2
-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [-\
1493417/2097152, -186677/262144], [-1273381/1048576, -318345/262144]]]], [[10,
15, 5, 2, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y =
-u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [-1493417/2097152, -186677/262144], [0, 0]]]], [[
10, 15, 5, 2, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3),
y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-1493417/2097152, -186677/262144], [318345/262144, 1273381/1048576]
]]], [[10, 15, 5, 2, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x <
u^2-3), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [-1493417/2097152, -186677/262144], [3, 3]]]], [[10, 17, 4,
1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y < -u^2+2, z < -(1-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1, -1], [-3, -3], [-3, -3]]]], [[10, 17, 4, 1, 2], [v = 2^
(1/2), And(3^(1/2) < u,u < 2), x = -1, y < -u^2+2, z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [-3, -3], [-2, -2]]]], [[10, 17, 4, 1, 3], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1, -1], [-3, -3], [0, 0]]]], [[10, 17, 4, 1, 4], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, y < -u^2+2, z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [-3, -3], [2, 2]]]], [[10, 17, 4, 1, 5], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x = -1, y < -u^2+2, (1-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1],
[-3, -3], [3, 3]]]], [[10, 19, 1, 8, 1], [v = 2^(1/2), 2 < u, x < -u^2+1, y =
u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-\
9, -9], [15, 15], [0, 0]]]], [[11, 1, 7, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/
2), And(0 < x,x < 1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3,
3], [-5, -5], [1/2, 1/2], [29/4, 29/4], [0, 0]]]], [[11, 5, 4, 9, 1], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, 1 < y, z = z], [regular_chain, [[
3, 3], [-403851/131072, -403851/131072], [-1, -1], [2, 2], [0, 0]]]], [[11, 7,
5, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [-2, -2]]]], [[11,
7, 5, 4, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2
+v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [-1811727/2097152
, -3623453/4194304]]]], [[11, 7, 5, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/
2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [0, 0], [-1/8388608, -1/8388608]]]], [[11, 7, 5, 4, 4
], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y
= 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [0, 0], [905863/1048576, 113233/
131072]]]], [[11, 7, 5, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 
And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [0, 0],
[2, 2]]]], [[11, 12, 9, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, y = -x-\
3, z < -3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2,
2], [-5, -5], [-3, -3]]]], [[11, 12, 9, 2, 2], [2^(1/2) < v, u = (v^2-2)^(1/2)
, 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[11,
12, 9, 2, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) <
z,z < 3^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2
], [-5, -5], [-1/4194304, -1/4194304]]]], [[11, 12, 9, 2, 4], [2^(1/2) < v, u
= (v^2-2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[11, 12, 9, 2, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, y = -
x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2,
2], [-5, -5], [3, 3]]]], [[11, 14, 7, 4, 1], [2^(1/2) < v, u = (v^2-1)^(1/2),
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 14, 7, 4, 2], [
2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-1/2, -\
1/2], [0, 0]]]], [[11, 14, 7, 4, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 18, 8, 4, 1], [2^(1/2) <
v, u = (v^2+1)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[11, 18, 8, 4, 2], [2
^(1/2) < v, u = (v^2+1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[3, 3],
[207243/65536, 3315889/1048576], [1, 1], [-1, -1], [0, 0]]]], [[11, 18, 8, 4,
3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[
3, 3], [207243/65536, 3315889/1048576], [1, 1], [-1, -1], [1, 1]]]], [[11, 20,
5, 5, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[11, 20, 5, 5, 2], [2^(1/2) <
v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [1
/4, 1/4], [-1/2, -1/2]]]], [[11, 20, 5, 5, 3], [2^(1/2) < v, u = (v^2+2)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2],
[1/4, 1/4], [0, 0]]]], [[11, 20, 5, 5, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]]
, [[11, 20, 5, 5, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(
0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 5, 6, 4, 1], [v < -
2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
531193/1048576, -1062385/2097152], [0, 0], [-2, -2]]]], [[1, 5, 6, 4, 2], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
531193/1048576, -1062385/2097152], [0, 0], [-373161/524288, -1492643/2097152]]
]], [[1, 5, 6, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^
2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 5, 6, 4, 4], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
531193/1048576, -1062385/2097152], [0, 0], [746321/1048576, 373161/524288]]]],
[[1, 5, 6, 4, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1,
y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [0, 0], [2, 2]]]], [[1, 7
, 7, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-3, -\
3], [-3, -3]]]], [[1, 7, 7, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)
), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [-3, -3], [-1889277/1048576, -7557107/4194304]]]],
[[1, 7, 7, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [-3, -3], [-3/8388608, -3/8388608]]]], [[1, 7, 7, 1
, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0),
y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-3, -3], [
472319/262144, 1889277/1048576]]]], [[1, 7, 7, 1, 5], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
516571/2097152, -516571/2097152], [-3, -3], [3, 3]]]], [[1, 11, 4, 3, 1], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y
< 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [-9/2, -\
9/2], [-4, -4]]]], [[1, 11, 4, 3, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [-9/2, -9/2], [-2459129/1048576, -\
307391/131072]]]], [[1, 11, 4, 3, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [-9/2, -9/2], [0, 0]]
]], [[1, 11, 4, 3, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3]
, [0, 0], [-1, -1], [-9/2, -9/2], [307391/131072, 2459129/1048576]]]], [[1, 11
, 4, 3, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1,
And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [
-1, -1], [-9/2, -9/2], [4, 4]]]], [[1, 13, 1, 2, 1], [v < -2^(1/2), And((v^2-2
)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [0, 0],
[-3, -3]]]], [[1, 13, 1, 2, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [-4, -4], [0, 0], [-2, -2]]]], [[1, 13, 1, 2
, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1,
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [
1435023/524288, 1435023/524288], [-4, -4], [0, 0], [0, 0]]]], [[1, 13, 1, 2, 4
], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y =
0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288
], [-4, -4], [0, 0], [2, 2]]]], [[1, 13, 1, 2, 5], [v < -2^(1/2), And((v^2-2)^
(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [0, 0],
[3, 3]]]], [[1, 19, 1, 3, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1579107/2097152, 1579107/2097152], [-3, -3]]]], [[1, 19, 1, 3, 2], [v < -2^(1/
2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u
^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-4, -4], [1579107/2097152, 1579107/2097152], [-3778963/
2097152, -7557925/4194304]]]], [[1, 19, 1, 3, 3], [v < -2^(1/2), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-4, -4], [1579107/2097152, 1579107/2097152], [-1/
8388608, -1/8388608]]]], [[1, 19, 1, 3, 4], [v < -2^(1/2), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^
(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4
], [1579107/2097152, 1579107/2097152], [1889481/1048576, 944741/524288]]]], [[
1, 19, 1, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[
-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [1579107/2097152, 
1579107/2097152], [3, 3]]]], [[1, 20, 7, 2, 1], [v < -2^(1/2), u = (v^2+2)^(1/
2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[1,
20, 7, 2, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z
= -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/
2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[1, 20, 7, 2,
3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2)
< z,z < 3^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[1, 20, 7, 2, 4], [
v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-7/2
, -7/2], [908093/524288, 1816187/1048576]]]], [[1, 20, 7, 2, 5], [v < -2^(1/2)
, u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-7/2, -7/2], [3, 3]
]]], [[2, 3, 2, 4, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y
= u^2-1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [
2602619/1048576, 650655/262144], [-1, -1]]]], [[2, 3, 2, 4, 2], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-\
650655/262144, -2602619/1048576], [2602619/1048576, 650655/262144], [0, 0]]]],
[[2, 3, 2, 4, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = u^2
-1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/
1048576, 650655/262144], [1, 1]]]], [[2, 5, 1, 3, 1], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x < -u^2+1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [1599345/2097152, 1599345/2097152], [-3, -3]]]], [
[2, 5, 1, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(0 < y
,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/
2097152, 1599345/2097152], [-1568445/1048576, -392111/262144]]]], [[2, 5, 1, 3
, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(0 < y,y < -u^2-x
+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [
1599345/2097152, 1599345/2097152], [0, 0]]]], [[2, 5, 1, 3, 4], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [1599345/2097152, 1599345/2097152], [392111/262144
, 1568445/1048576]]]], [[2, 5, 1, 3, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -\
3], [1599345/2097152, 1599345/2097152], [3, 3]]]], [[2, 7, 2, 7, 1], [v = -2^(
1/2), And(v < u,u < -1), x = u^2-3, -u^2+3 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [3, 3], [0, 0]]]], [[2, 9, 1, 6, 1], [v =
-2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [4, 4], [-1, -1]]]],
[[2, 9, 1, 6, 2], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = -x, z = 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [
4, 4], [0, 0]]]], [[2, 9, 1, 6, 3], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-\
3, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2,
-1/2], [-4, -4], [4, 4], [1, 1]]]], [[2, 12, 7, 4, 1], [v = -2^(1/2), u = 1, 
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 12, 7, 4, 2], [v
= -2^(1/2), u = 1, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]],
[[2, 12, 7, 4, 3], [v = -2^(1/2), u = 1, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1/2, 1/2], [-1/2,
-1/2], [1, 1]]]], [[2, 14, 6, 1, 1], [v = -2^(1/2), u = -v, x = 1, y < -2, z <
-(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[2, 14, 6, 1, 2], [v
= -2^(1/2), u = -v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-\
3, -3], [-1482911/1048576, -741455/524288]]]], [[2, 14, 6, 1, 3], [v = -2^(1/2
), u = -v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [-3, -3], [0, 0]]]], [[2, 14, 6, 1, 4], [v = -2^(1/2), u = -
v, x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-3, -3], [741455/
524288, 1482911/1048576]]]], [[2, 14, 6, 1, 5], [v = -2^(1/2), u = -v, x = 1,
y < -2, (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [741455/524288, 1482911/1048576], [1, 1], [-3, -3], [3, 3]]]], [[3, 1, 3, 1,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5],
[-5, -5]]]], [[3, 1, 3, 1, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-5, -5], [-3277777/1048576, -204861/65536]]]], [
[3, 1, 3, 1, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1
< x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-5, -5], [0, 0]]]], [[3, 1, 3, 1, 4], [And(-2^(1
/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-
x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5], [204861/65536, 
3277777/1048576]]]], [[3, 1, 3, 1, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-5, -5], [5, 5]]]], [[3, 2, 8, 7, 1], [And(-2^(1
/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1,
1], [1, 1], [0, 0]]]], [[3, 6, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 <
x, And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [
[3, 8, 8, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y = -3,
z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [-3, -3], [-3, -3]]]], [[3, 8, 8, 2,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y = -3, z = -2^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[3,
8, 8, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y = -3, And
(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [1, 1], [-3, -3], [0, 0]]]], [[3
, 8, 8, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y = -3, z
= 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]
], [[3, 8, 8, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y =
-3, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [1, 1], [-3, -3], [3, 3]]]], [[4, 1, 3, 3, 1
], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-2, -2], [-4, -4]
]]], [[4, 1, 3, 3, 2], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(-u^2-x
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5],
[-2, -2], [-5548543/2097152, -2774271/1048576]]]], [[4, 1, 3, 3, 3], [v = -1,
u < -3^(1/2), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-2, -2],
[0, 0]]]], [[4, 1, 3, 3, 4], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(
-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5
, -5], [-2, -2], [2774271/1048576, 10837/4096]]]], [[4, 1, 3, 3, 5], [v = -1,
u < -3^(1/2), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[-1, -1], [-3, -3], [-5, -5], [-2, -2], [4, 4]]]], [[4, 2, 9,
2, 1], [v = -1, u = -3^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain,
[[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -5], [-3, -3]]]]
, [[4, 2, 9, 2, 2], [v = -1, u = -3^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -\
5], [-1816187/1048576, -3632373/2097152]]]], [[4, 2, 9, 2, 3], [v = -1, u = -3
^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[4, 2, 9, 2, 4], [v = -1, u = -3^(1/2), 1 < x, y = -x-3, z = 3^(
1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2]
, [-5, -5], [908093/524288, 1816187/1048576]]]], [[4, 2, 9, 2, 5], [v = -1, u
= -3^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [2, 2], [-5, -5], [3, 3]]]], [[4, 7, 1, 2,
1], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [0, 0], [-3, -3]]]], [[4, 7,
1, 2, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 7, 1, 2, 3], [v = -1, And(-1 < u,u < 0), x < u^2-2,
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-1/2,
-1/2], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[4, 7, 1, 2, 4], [v = -\
1, And(-1 < u,u < 0), x < u^2-2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1,
-1], [-1/2, -1/2], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[4,
7, 1, 2, 5], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [0, 0], [3, 3]]]], [[4, 8, 8
, 6, 1], [v = -1, u = 0, x = 1, y = 0, z = z], [regular_chain, [[-1, -1], [0,
0], [1, 1], [0, 0], [0, 0]]]], [[4, 14, 6, 7, 1], [v = -1, u = 3^(1/2), x = 0,
1 < y, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0
, 0], [2, 2], [0, 0]]]], [[5, 1, 3, 8, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1
/2), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-1
/2, -1/2], [-3, -3], [-43/8, -43/8], [105/8, 105/8], [0, 0]]]], [[5, 5, 1, 3,
1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(0 <
y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576]
, [-3, -3]]]], [[5, 5, 1, 3, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[836497/1048576, 836497/1048576], [-1556087/1048576, -778043/524288]]]], [[5,
5, 1, 3, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1
, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[836497/1048576, 836497/1048576], [0, 0]]]], [[5, 5, 1, 3, 4], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1)
, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576], [778043/524288,
1556087/1048576]]]], [[5, 5, 1, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[836497/1048576, 836497/1048576], [3, 3]]]], [[5, 7, 1, 7, 1], [And(-1 < v,v <
0), And(v < u,u < -v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [21/8, 21/8], [-2,
-2]]]], [[5, 7, 1, 7, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1
, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [0, 0], [-3, -3], [21/8, 21/8], [-1284239/2097152, -642119/1048576]]]], [
[5, 7, 1, 7, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(-u^
2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [21/8, 21/8], [0, 0]]]], [[5,
7, 1, 7, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(-u^2+v^
2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [
-3, -3], [21/8, 21/8], [642119/1048576, 80265/131072]]]], [[5, 7, 1, 7, 5], [
And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [21/8
, 21/8], [2, 2]]]], [[5, 9, 3, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+
1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-212079/1048576, -106039/524288], [-3, -3
]]]], [[5, 9, 3, 2, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-212079/1048576, -106039/524288], [-19417/16384,
-1242687/1048576]]]], [[5, 9, 3, 2, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^
2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/
1048576, -106039/524288], [0, 0]]]], [[5, 9, 3, 2, 4], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -106039/
524288], [1242687/1048576, 19417/16384]]]], [[5, 9, 3, 2, 5], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -\
106039/524288], [3, 3]]]], [[5, 11, 1, 8, 1], [And(-1 < v,v < 0), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [
2340173/524288, 4680347/1048576], [0, 0]]]], [[6, 1, 6, 3, 1], [v = 0, u < -2^
(1/2), x = 0, And(-u^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[0, 0]
, [-3, -3], [0, 0], [-5, -5], [-4, -4]]]], [[6, 1, 6, 3, 2], [v = 0, u < -2^(1
/2), x = 0, And(-u^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [0, 0], [-5, -5], [-146543/65536, -2344687/1048576]]]], [[6, 1, 6, 3
, 3], [v = 0, u < -2^(1/2), x = 0, And(-u^2-1 < y,y < 0), And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [0, 0], [-5, -5], [0, 0]]
]], [[6, 1, 6, 3, 4], [v = 0, u < -2^(1/2), x = 0, And(-u^2-1 < y,y < 0), z =
(-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [0, 0], [-5, -5], [2344687/
1048576, 146543/65536]]]], [[6, 1, 6, 3, 5], [v = 0, u < -2^(1/2), x = 0, And(
-u^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [0, 0],
[-5, -5], [4, 4]]]], [[6, 3, 3, 4, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-
u^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [0, 0], [-3
, -3]]]], [[6, 3, 3, 4, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x
< -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1812519/1048576, -1812519/1048576], [0, 0], [-689305/
524288, -1378609/1048576]]]], [[6, 3, 3, 4, 3], [v = 0, And(-2^(1/2) < u,u < -\
1), And(-u^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [0, 0], [0, 0]]]], [[6, 3, 3, 4, 4], [v = 0, And(-
2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [0, 0], [1378609/1048576, 689305/524288]]]], [[6,
3, 3, 4, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y = 0,
(-x)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576]
, [-1812519/1048576, -1812519/1048576], [0, 0], [3, 3]]]], [[6, 9, 3, 3, 1], [
v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0)
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1812519/1048576, -1812519/1048576], [-1527887/4194304, -1527887/
4194304], [-3, -3]]]], [[6, 9, 3, 3, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(-
u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/
1048576], [-1527887/4194304, -1527887/4194304], [-1516935/1048576, -758467/
524288]]]], [[6, 9, 3, 3, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x
< -1), And(-u^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576,
-1812519/1048576], [-1527887/4194304, -1527887/4194304], [0, 0]]]], [[6, 9, 3,
3, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(-u^2-x-1 <
y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1812519/1048576, -1812519/1048576], [-1527887/4194304, -\
1527887/4194304], [758467/524288, 1516935/1048576]]]], [[6, 9, 3, 3, 5], [v =
0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), (-
x-y)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[-1812519/1048576, -1812519/1048576], [-1527887/4194304, -1527887/4194304], [3
, 3]]]], [[6, 10, 9, 2, 1], [v = 0, u = 2^(1/2), 1 < x, y = -x-3, z < -3^(1/2)
], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-5, -5]
, [-3, -3]]]], [[6, 10, 9, 2, 2], [v = 0, u = 2^(1/2), 1 < x, y = -x-3, z = -3
^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-\
5, -5], [-1816187/1048576, -3632373/2097152]]]], [[6, 10, 9, 2, 3], [v = 0, u
= 2^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[
0, 0], [741455/524288, 1482911/1048576], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[6, 10, 9, 2, 4], [v = 0, u = 2^(1/2), 1 < x, y = -x-3, z = 3^(1
/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-5,
-5], [908093/524288, 1816187/1048576]]]], [[6, 10, 9, 2, 5], [v = 0, u = 2^(1/
2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [2, 2], [-5, -5], [3, 3]]]], [[7, 3, 4, 6, 1], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, z < 0], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [1, 1]
, [-1, -1]]]], [[7, 3, 4, 6, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1, -1], [1, 1], [0, 0]]]], [[7, 3, 4, 6, 3], [And(0
< v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, 0 < z],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [1, 1
], [1, 1]]]], [[7, 5, 3, 5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u <
-v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [636235/2097152, 636235/2097152], [-2, -2]
]]], [[7, 5, 3, 5, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(
-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/2097152, 636235/2097152], [-3976575/
4194304, -15906299/16777216]]]], [[7, 5, 3, 5, 3], [And(0 < v,v < 1), And(-(v^
2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [
636235/2097152, 636235/2097152], [-11/33554432, -11/33554432]]]], [[7, 5, 3, 5
, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< -1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152
], [636235/2097152, 636235/2097152], [994143/1048576, 31067/32768]]]], [[7, 5,
3, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 <
x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/
2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [636235/2097152, 636235/2097152], [2, 2]]]], [[8, 1, 8, 5, 1], [v =
1, u < -3^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[1, 1], [-\
3, -3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 3, 5, 8, 1], [v = 1, And(-3^(1/2
) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = u^2-x-2, z = z], [regular_chain, [
[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [511047/524288, 
1022095/1048576], [0, 0]]]], [[8, 7, 6, 2, 1], [v = 1, And(-1 < u,u < 0), x =
-u^2, y = 2*u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2]
, [-1/4, -1/4], [-3/2, -3/2], [-3, -3]]]], [[8, 7, 6, 2, 2], [v = 1, And(-1 <
u,u < 0), x = -u^2, y = 2*u^2-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1]
, [-1/2, -1/2], [-1/4, -1/4], [-3/2, -3/2], [-10837/8192, -1387135/1048576]]]]
, [[8, 7, 6, 2, 3], [v = 1, And(-1 < u,u < 0), x = -u^2, y = 2*u^2-2, And(-(-u
^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [
-1/4, -1/4], [-3/2, -3/2], [0, 0]]]], [[8, 7, 6, 2, 4], [v = 1, And(-1 < u,u <
0), x = -u^2, y = 2*u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2
, -1/2], [-1/4, -1/4], [-3/2, -3/2], [1387135/1048576, 10837/8192]]]], [[8, 7,
6, 2, 5], [v = 1, And(-1 < u,u < 0), x = -u^2, y = 2*u^2-2, (-u^2+2)^(1/2) < z
], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-3/2, -3/2], [3, 3]]]
], [[8, 9, 5, 5, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y
,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8,
-5/8], [3/16, 3/16], [-2, -2]]]], [[8, 9, 5, 5, 2], [v = 1, And(0 < u,u < 1),
And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3/16, 3/16], [-10837/16384,
-1387135/2097152]]]], [[8, 9, 5, 5, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x
< -u^2), And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3/16, 3/16], [-1/4194304, -\
1/4194304]]]], [[8, 9, 5, 5, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2
), And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/
2], [-5/8, -5/8], [3/16, 3/16], [693567/1048576, 10837/16384]]]], [[8, 9, 5, 5
, 5], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), (
-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3/16, 3/
16], [2, 2]]]], [[8, 15, 3, 4, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-5, -5], [0, 0], [-\
4, -4]]]], [[8, 15, 3, 4, 2], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = 0
, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-5, -5], [0, 0], [-\
146543/65536, -2344687/1048576]]]], [[8, 15, 3, 4, 3], [v = 1, 3^(1/2) < u, 
And(-u^2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [0, 0], [0, 0]]]], [[8, 15, 3, 4, 4]
, [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [0, 0], [2344687/1048576, 146543/
65536]]]], [[8, 15, 3, 4, 5], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = 0
, (-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-5, -5], [0, 0], [4, 4]]]
], [[9, 1, 9, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x
< u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-7909297/
4194304, -7909297/4194304], [0, 0]]]], [[9, 5, 6, 3, 1], [And(1 < v,v < 2^(1/2
)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0)
, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/
1048576], [-3921893/8388608, -3921893/8388608], [-2, -2]]]], [[9, 5, 6, 3, 2],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2
*u^2+2*v^2 < y,y < 0), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/
2097152, -558339/1048576], [-3921893/8388608, -3921893/8388608], [-\
35184371682327/35184372088832, -70368743364653/70368744177664]]]], [[9, 5, 6,
3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1,
And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-3921893/
8388608, -3921893/8388608], [-66295853/140737488355328, -66295853/
140737488355328]]]], [[9, 5, 6, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-3921893/
8388608, -3921893/8388608], [1048575/1048576, 1]]]], [[9, 5, 6, 3, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*
v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-3921893/8388608, -3921893/8388608], [2, 2]]]], [[9, 7, 7, 4
, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-112593/524288, -225185/1048576], [-2, -2]]
]], [[9, 7, 7, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-112593/524288, -225185
/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 7, 4, 3], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y =
-u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-112593/524288, -225185
/1048576], [0, 0]]]], [[9, 7, 7, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-112593/
524288, -225185/1048576], [687203/1048576, 171801/262144]]]], [[9, 7, 7, 4, 5]
, [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,
x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [-112593/524288, -225185/1048576], [2, 2]]]], [[9,
9, 6, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = 0, y = -u^2+v^2-1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [239655/524288, 479311/1048576], [0, 0]]]], [[9, 11,
5, 9, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x
< -u^2+v^2-1), -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[2, 2], [0, 0]]]], [[9, 15, 6, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [-2599117/2097152, -2599117/2097152], [-3, -3]]]], [[9, 15, 6
, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-2599117/
2097152, -2599117/2097152], [-583671/524288, -1167341/1048576]]]], [[9, 15, 6,
3, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [-2599117/2097152, -2599117/2097152], [0, 0]]]], [[9, 15, 6,
3, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-2599117/
2097152, -2599117/2097152], [1167341/1048576, 583671/524288]]]], [[9, 15, 6, 3
, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0
, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-2599117/
2097152, -2599117/2097152], [3, 3]]]], [[9, 17, 3, 8, 1], [And(1 < v,v < 2^(1/
2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [11863945/1048576, 5931973/524288], [0, 0]]]], [[10, 5,
6, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, -u^2+3 < y, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [2, 2], [0, 0]]]], [[10,
7, 7, 8, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-239655/1048576, -239655/1048576], [239655/1048576, 239655
/1048576], [-1, -1]]]], [[10, 7, 7, 8, 2], [v = 2^(1/2), And(-v < u,u < -1), 
And(-u^2+1 < x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [239655/1048576, 239655/1048576], [0, 0]]]], [[10, 7, 7, 8, 3
], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-239655/1048576, -239655/1048576], [239655/1048576, 239655/1048576]
, [1, 1]]]], [[10, 11, 4, 6, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y = 1
, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1,
-1], [1, 1], [-1, -1]]]], [[10, 11, 4, 6, 2], [v = 2^(1/2), And(0 < u,u < 1),
x = -1, y = 1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1/2
, 1/2], [-1, -1], [1, 1], [0, 0]]]], [[10, 11, 4, 6, 3], [v = 2^(1/2), And(0 <
u,u < 1), x = -1, y = 1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [1, 1], [1, 1]]]], [[10, 13, 3, 9, 1], [v = 2^
(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), -x < y, z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [3, 3], [0, 0]]]], [[11, 3, 5, 2, 1], [2^(
1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -
u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -133818123/
67108864], [-3, -3]]]], [[11, 3, 5, 2, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -\
1/2], [-267636247/134217728, -133818123/67108864], [-1655969/1048576, -3311937
/2097152]]]], [[11, 3, 5, 2, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [-267636247/134217728, -133818123/67108864], [-1/
4194304, -1/4194304]]]], [[11, 3, 5, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1
/2], [-267636247/134217728, -133818123/67108864], [51749/32768, 1655969/
1048576]]]], [[11, 3, 5, 2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-\
267636247/134217728, -133818123/67108864], [3, 3]]]], [[11, 5, 4, 5, 1], [2^(1
/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), z < -
(1-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1,
-1], [517383/2097152, 517383/2097152], [-2, -2]]]], [[11, 5, 4, 5, 2], [2^(1/2
) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), z = -(1
-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1
], [517383/2097152, 517383/2097152], [-3640339/4194304, -1820169/2097152]]]],
[[11, 5, 4, 5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(0
< y,y < u^2-v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-1, -1], [517383/2097152, 517383/
2097152], [-1/4194304, -1/4194304]]]], [[11, 5, 4, 5, 4], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [227521/262144, 910085/1048576]]]], [[11, 5, 4, 5, 5
], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2
), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-1, -1], [517383/2097152, 517383/2097152], [2, 2]]]], [[11, 9, 5, 1, 1], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y <
u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[11, 9, 5, 1, 2], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y <
u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576
]]]], [[11, 9, 5, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -\
1/2], [-4, -4], [0, 0]]]], [[11, 9, 5, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2
], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[11, 9, 5, 1, 5], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^
2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[11, 11, 2, 4, 1], [2^(
1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v
^2+1, z < 0], [regular_chain, [[3, 3], [0, 0], [-10, -10], [10, 10], [-1, -1]]
]], [[11, 11, 2, 4, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3], [0, 0], [-\
10, -10], [10, 10], [0, 0]]]], [[11, 11, 2, 4, 3], [2^(1/2) < v, And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[3, 3], [0, 0], [-10, -10], [10, 10], [1, 1]]]], [[11, 16, 6,
6, 1], [2^(1/2) < v, u = v, x = 1, y = 0, z = z], [regular_chain, [[3, 3], [3,
3], [1, 1], [0, 0], [0, 0]]]], [[11, 18, 7, 7, 1], [2^(1/2) < v, u = (v^2+1)^(
1/2), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[1, 1, 9, 7, 1], [v < -2^(1/
2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1),
z = z], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [7/2, 7/2], [0, 0]]]], [[
1, 3, 6, 6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
0, y = u^2-v^2-1, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [0, 0], [129511/262144, 518045/1048576], [0, 0]]]], [[1, 7,
7, 6, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [0, 0], [-2, -2]]]], [[1
, 7, 7, 6, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 <
x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [0, 0], [-\
16263/32768, -520415/1048576]]]], [[1, 7, 7, 6, 3], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (
-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-516571/2097152, -516571/2097152], [0, 0], [0, 0]]]], [[1, 7, 7, 6, 4], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = 0, z =
(-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-516571/2097152, -516571/2097152], [0, 0], [520415/1048576, 16263/32768]]]],
[[1, 7, 7, 6, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [0, 0], [2, 2]
]]], [[1, 9, 6, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -\
3], [-22960369/8388608, -22960369/8388608], [0, 0], [-5260375/4194304, -\
5260375/4194304], [-3, -3]]]], [[1, 9, 6, 3, 2], [v < -2^(1/2), And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)
], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0],
[-5260375/4194304, -5260375/4194304], [-587149/524288, -1174297/1048576]]]], [
[1, 9, 6, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
5260375/4194304, -5260375/4194304], [0, 0]]]], [[1, 9, 6, 3, 4], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0),
z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [0, 0], [-5260375/4194304, -5260375/4194304], [1174297/1048576, 
587149/524288]]]], [[1, 9, 6, 3, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
5260375/4194304, -5260375/4194304], [3, 3]]]], [[1, 15, 1, 1, 1], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [-1, -\
1], [-3, -3]]]], [[1, 15, 1, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -
v), x < u^2-v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [-1, -1], [-2, -2]]]], [[1, 15, 1
, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y < 0, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[1, 15, 1, 1, 4], [
v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y < 0, z = (-x-y)^
(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3
], [-1, -1], [2, 2]]]], [[1, 15, 1, 1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) <
u,u < -v), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[1, 17, 1,
5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+
v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-3, -3], [2, 2], [-2, -2]]]], [[1, 17, 1, 5, 2
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-
x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-3, -3], [2, 2], [-1, -1]]]], [[1, 17, 1, 5, 3
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-
x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [2, 2], [0
, 0]]]], [[1, 17, 1, 5, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [2, 2], [1
, 1]]]], [[1, 17, 1, 5, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [2, 2], [2
, 2]]]], [[1, 20, 7, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1)
, And(0 < y,y < 1-x), z = z], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[2, 1, 4, 6, 1], [v = -2^
(1/2), u < -2, x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-1, -1], [1, 1], [-1, -1]]]], [[2, 1, 4, 6, 2], [v
= -2^(1/2), u < -2, x = -1, y = 1, z = 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[2, 1, 4, 6, 3], [v =
-2^(1/2), u < -2, x = -1, y = 1, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-1, -1], [1, 1], [1, 1]]]], [[2, 10, 8, 4, 1], [v =
-2^(1/2), u = 0, x = 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1, 1], [-1, -1], [-1, -1]]]], [[2, 10, 8, 4, 2], [v =
-2^(1/2), u = 0, x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1, 1], [-1, -1], [0, 0]]]], [[2, 10, 8, 4, 3], [v = -
2^(1/2), u = 0, x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1, 1], [-1, -1], [1, 1]]]], [[2, 12, 6, 4, 1], [v = -
2^(1/2), u = 1, x = 0, y = 0, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [0, 0], [-1, -1]]]], [[2, 12, 6, 4, 2], [v = -
2^(1/2), u = 1, x = 0, y = 0, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [0, 0], [0, 0]]]], [[2, 12, 6, 4, 3], [v = -2^
(1/2), u = 1, x = 0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [0, 0], [1, 1]]]], [[2, 16, 7, 6, 1], [v = -2^
(1/2), u = 3^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2]
, [0, 0], [0, 0]]]], [[2, 18, 4, 9, 1], [v = -2^(1/2), u = 2, x = -1, 2 < y, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [
3, 3], [0, 0]]]], [[3, 4, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1
/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [-2,
-2], [-2, -2]]]], [[3, 4, 8, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1
/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [-2,
-2], [-1, -1]]]], [[3, 4, 8, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1
/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-2, -2], [0, 0]]]], [[3, 4, 8, 3, 4], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-2, -2], [1, 1]]]], [[3, 4, 8, 3, 5], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-2, -2], [2, 2]]]], [[3, 6, 6, 7, 1], [And(-2^(1/2)
< v,v < -1), u = v, x = 1, 0 < y, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [1, 1], [0, 0
]]]], [[3, 10, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 <
x,x < 1), 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [354469/524288, 708939/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 12, 6,
4, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y = -1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[3, 12, 6, 4, 2], [And(-2^(1
/2) < v,v < -1), u = -v, x = 1, y = -1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-1, -\
1], [0, 0]]]], [[3, 12, 6, 4, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y
= -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-1, -1], [1, 1]]]], [[3, 14, 8, 2, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [1, 1], [-3, -3], [-3, -3]]]], [[3, 14, 8, 2, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1],
[-3, -3], [-1482911/1048576, -741455/524288]]]], [[3, 14, 8, 2, 3], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2
))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576,
410915/262144], [1, 1], [-3, -3], [0, 0]]]], [[3, 14, 8, 2, 4], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1]
, [-3, -3], [741455/524288, 1482911/1048576]]]], [[3, 14, 8, 2, 5], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [1, 1], [-3, -3], [3, 3]]]], [[3, 16, 5, 3, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[3, 16, 5, 3, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [-10837
/8192, -1387135/1048576]]]], [[3, 16, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[3, 16
, 5, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), 
And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/4, -5/4],
[1387135/1048576, 10837/8192]]]], [[3, 16, 5, 3, 5], [And(-2^(1/2) < v,v < -1)
, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[4, 2, 9, 9, 1], [v
= -1, u = -3^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-1, -1], [-1816187
/1048576, -3632373/2097152], [2, 2], [1, 1], [0, 0]]]], [[4, 4, 8, 4, 1], [v =
-1, u = -2^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [1, 1], [-1, -1], [-1, -1]]]], [[4, 4, 8, 4, 2], [v
= -1, u = -2^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [0, 0]]]], [[4, 4, 8, 4, 3
], [v = -1, u = -2^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1, 1]]]], [[4, 11, 1, 3,
1], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z < -(-x
-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3
, -3], [1617841/2097152, 1617841/2097152], [-3, -3]]]], [[4, 11, 1, 3, 2], [v
= -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/
2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3],
[1617841/2097152, 1617841/2097152], [-782675/524288, -1565349/1048576]]]], [[4
, 11, 1, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(0 < y,y < -u^2-
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3, -3], [1617841/2097152, 1617841/2097152
], [0, 0]]]], [[4, 11, 1, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, 
And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [1617841/2097152, 1617841/2097152], [
1565349/1048576, 782675/524288]]]], [[4, 11, 1, 3, 5], [v = -1, And(1 < u,u <
2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [1617841/2097152, 
1617841/2097152], [3, 3]]]], [[4, 12, 8, 7, 1], [v = -1, u = 2^(1/2), x = 1, 0
< y, z = z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1,
1], [1, 1], [0, 0]]]], [[5, 1, 4, 6, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2
), x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [
1, 1], [-1, -1]]]], [[5, 1, 4, 6, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x = -1, y = 1, z = 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [1,
1], [0, 0]]]], [[5, 1, 4, 6, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -\
1, y = 1, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [1, 1], [
1, 1]]]], [[5, 3, 1, 5, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [
2902707/1048576, 2902707/1048576], [-3, -3]]]], [[5, 3, 1, 5, 2], [And(-1 < v,
v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v
^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-4, -4], [2902707/1048576, 2902707/1048576],
[-1163761/1048576, -72735/65536]]]], [[5, 3, 1, 5, 3], [And(-1 < v,v < 0), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [-343151/262144, -343151/262144], [-4, -4], [2902707/1048576, 2902707/
1048576], [0, 0]]]], [[5, 3, 1, 5, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
-4, -4], [2902707/1048576, 2902707/1048576], [72735/65536, 1163761/1048576]]]]
, [[5, 3, 1, 5, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [
2902707/1048576, 2902707/1048576], [3, 3]]]], [[5, 12, 8, 6, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-1/2, -1/2],
[3/2, 3/2], [1, 1], [0, 0], [0, 0]]]], [[6, 1, 5, 5, 1], [v = 0, u < -2^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[6, 1, 5, 5, 2], [v = 0,
u < -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [
[6, 1, 5, 5, 3], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [
-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[6, 1, 5, 5, 4], [v = 0, u < -2^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0,
0], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 1, 5, 5, 5], [v =
0, u < -2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[6, 5,
3, 2, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = -u^2-x-1, z <
-(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-1/8, -\
1/8], [-3, -3]]]], [[6, 5, 3, 2, 2], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x
,x < -1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -\
1/2], [-9/8, -9/8], [-1/8, -1/8], [-146543/131072, -1172343/1048576]]]], [[6,
5, 3, 2, 3], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = -u^2-x-1,
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1
/2], [-9/8, -9/8], [-1/8, -1/8], [0, 0]]]], [[6, 5, 3, 2, 4], [v = 0, And(-1 <
u,u < 0), And(-u^2-1 < x,x < -1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-1/8, -1/8], [1172343/
1048576, 146543/131072]]]], [[6, 5, 3, 2, 5], [v = 0, And(-1 < u,u < 0), And(-
u^2-1 < x,x < -1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0],
[-1/2, -1/2], [-9/8, -9/8], [-1/8, -1/8], [3, 3]]]], [[6, 7, 3, 6, 1], [v = 0,
And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = u^2-x-1, z < -(-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/8, 3/8], [-2, -2]]]], [[6
, 7, 3, 6, 2], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = u^2-x-1,
z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/8,
3/8], [-1816187/2097152, -3632373/4194304]]]], [[6, 7, 3, 6, 3], [v = 0, And(0
< u,u < 1), And(-u^2-1 < x,x < -1), y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (
-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/8, 3/8]
, [-1/8388608, -1/8388608]]]], [[6, 7, 3, 6, 4], [v = 0, And(0 < u,u < 1), And
(-u^2-1 < x,x < -1), y = u^2-x-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0]
, [1/2, 1/2], [-9/8, -9/8], [3/8, 3/8], [908093/1048576, 454047/524288]]]], [[
6, 7, 3, 6, 5], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = u^2-x-1,
(-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/8,
3/8], [2, 2]]]], [[7, 1, 6, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x =
0, u^2-v^2-1 < y, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [9, 9
], [0, 0]]]], [[7, 3, 3, 8, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [2301927/1048576, 287741/131072], [0, 0]]]], [[7,
7, 4, 8, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y = 1, z < 0], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1, 1], [-1, -1]]]], [[7, 7, 4,
8, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y = 1, z = 0], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[7, 7, 4, 8,
3], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y = 1, 0 < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[7, 9, 5, 3,
1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1)
, And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
1272471/4194304, -1272471/4194304], [-3, -3]]]], [[7, 9, 5, 3, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-
x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-1272471/
4194304, -1272471/4194304], [-1100319/1048576, -550159/524288]]]], [[7, 9, 5,
3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2
-1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304], [0, 0]]]], [
[7, 9, 5, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-1272471/4194304, -1272471/4194304], [550159/524288, 1100319/
1048576]]]], [[7, 9, 5, 3, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304], [3, 3]]]], [
[7, 11, 4, 8, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = -1, y = u^2-v^2, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-1, -1], [767309/524288, 1534619/1048576], [0, 0]]]], [[7, 13
, 2, 2, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [0, 0
], [-5, -5]]]], [[7, 13, 2, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -
u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3]
, [-39/4, -39/4], [0, 0], [-1637089/524288, -3274177/1048576]]]], [[7, 13, 2,
2, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3],
[-39/4, -39/4], [0, 0], [0, 0]]]], [[7, 13, 2, 2, 4], [And(0 < v,v < 1), (v^2+
2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [3, 3], [-39/4, -39/4], [0, 0], [3274177/1048576, 1637089/524288]]
]], [[7, 13, 2, 2, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y
= 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/
4], [0, 0], [5, 5]]]], [[8, 3, 5, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), And(-1 < x,x < 0), u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [2, 2], [0, 0]]]], [[8, 5, 5, 3, 1],
[v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0)
, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/
4194304], [-3, -3]]]], [[8, 5, 5, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), And
(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-1437931/4194304, -1437931/4194304], [-553435/524288, -1106869/
1048576]]]], [[8, 5, 5, 3, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x
< u^2-2), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-1437931/4194304, -1437931/4194304], [0, 0]]]], [
[8, 5, 5, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(
-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-1437931/
4194304, -1437931/4194304], [1106869/1048576, 553435/524288]]]], [[8, 5, 5, 3,
5], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(-u^2-x < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/
4194304], [3, 3]]]], [[8, 11, 6, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = u^
2-2, And(0 < y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/2097152, 569265/2097152], [-2, -2]]]], [[8, 11, 6, 5, 2], [v = 1, And(1
< u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/2097152,
-569265/1048576], [569265/2097152, 569265/2097152], [-1092629/2097152, -273157
/524288]]]], [[8, 11, 6, 5, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And
(0 < y,y < -u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/2097152,
-569265/1048576], [569265/2097152, 569265/2097152], [0, 0]]]], [[8, 11, 6, 5,
4], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < -u^2+2), z = (-u^
2-y+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1138531/2097152, -569265/1048576], [569265/2097152, 569265/2097152], [273157/
524288, 546315/1048576]]]], [[8, 11, 6, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)),
x = u^2-2, And(0 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/2097152, 569265/2097152], [2, 2]]]], [[8, 13, 5, 8, 1], [v = 1, And(2^(
1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = u^2-x-2, z = z], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [1022093/1048576, 
511047/524288], [0, 0]]]], [[9, 1, 9, 6, 1], [And(1 < v,v < 2^(1/2)), u < -(v^
2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = 0, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [0,
0], [0, 0]]]], [[9, 3, 7, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-5700201/
2097152, -712525/262144], [-3, -3]]]], [[9, 3, 7, 2, 2], [And(1 < v,v < 2^(1/2
)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y =
-u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 
501965/2097152], [-5700201/2097152, -712525/262144], [-3301741/2097152, -\
825435/524288]]]], [[9, 3, 7, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [-5700201/2097152, -712525/262144], [0, 0]]]], [[9,
3, 7, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [-5700201/2097152, -\
712525/262144], [825435/524288, 1650871/1048576]]]], [[9, 3, 7, 2, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^
2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [-5700201/2097152, -712525/262144], [3, 3]]]], [[9,
13, 7, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v
^2-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [-3, -3], [-3, -3]]]], [[9, 13, 7, 1, 2], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288
], [-3, -3], [-7580255/4194304, -3790127/2097152]]]], [[9, 13, 7, 1, 3], [And(
1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y
< -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [-3, -3], [-1/4194304, -1/4194304]]]], [[9, 13
, 7, 1, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2
-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288
, -139585/524288], [-3, -3], [1895063/1048576, 236883/131072]]]], [[9, 13, 7,
1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288
, -139585/524288], [-3, -3], [3, 3]]]], [[9, 15, 6, 2, 1], [And(1 < v,v < 2^(1
/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327
/524288, 898327/524288], [0, 0], [-1299559/524288, -2599117/1048576], [-3, -3]
]]], [[9, 15, 6, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-\
1299559/524288, -2599117/1048576], [-3301741/2097152, -825435/524288]]]], [[9,
15, 6, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [0, 0], [-1299559/524288, -2599117/1048576], [0, 0]]]], [[9, 15, 6, 2
, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0
, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-1299559/524288, -\
2599117/1048576], [825435/524288, 1650871/1048576]]]], [[9, 15, 6, 2, 5], [And
(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2
+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [-1299559/524288, -2599117/
1048576], [3, 3]]]], [[10, 1, 9, 9, 1], [v = 2^(1/2), u < -2, And(1 < x,x < u^
2-3), u^2-x-3 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [7/2, 7/2], [4, 4], [0, 0]]]], [[10, 3, 7, 5, 1], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), And(-x < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [-252733/2097152, -252733/2097152]
, [0, 0]]]], [[10, 9, 7, 2, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x <
-u^2+1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-25/8, -25/8], [-3, -3]]]], [[10,
9, 7, 2, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y = u^2-x
-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1/2, -1/2], [3/8, 3/8], [-25/8, -25/8], [-1738867/1048576, -3477733/2097152]]
]], [[10, 9, 7, 2, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1),
y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-25/8, -25/8], [-1
/4194304, -1/4194304]]]], [[10, 9, 7, 2, 4], [v = 2^(1/2), And(-1 < u,u < 0),
And(0 < x,x < -u^2+1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-25/8, -25/8], [
869433/524288, 1738867/1048576]]]], [[10, 9, 7, 2, 5], [v = 2^(1/2), And(-1 <
u,u < 0), And(0 < x,x < -u^2+1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-\
25/8, -25/8], [3, 3]]]], [[10, 11, 4, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), x
= -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 11, 4,
5, 2], [v = 2^(1/2), And(0 < u,u < 1), x = -1, And(0 < y,y < 1), z = -(1-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[10, 11, 4, 5, 3], [v = 2
^(1/2), And(0 < u,u < 1), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [
-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 11, 4, 5, 4], [v = 2^(1/2), And(0 < u,u
< 1), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[10, 11, 4, 5, 5], [v = 2^(1/2), And(0 < u,u < 1), x = -1, 
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 15, 4, 8, 1], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1],
[1, 1], [-1, -1]]]], [[10, 15, 4, 8, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = -1, y = 1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-1, -1], [1, 1], [0, 0]]]], [[10, 15, 4, 8
, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [1, 1], [1, 1]]]], [[10, 17, 4, 2, 1], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1],
[-388511/262144, -1554043/1048576], [-3, -3]]]], [[10, 17, 4, 2, 2], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [-388511/262144, -1554043/1048576], [-825991/524288, -\
3303963/2097152]]]], [[10, 17, 4, 2, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = -1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1,
-1], [-388511/262144, -1554043/1048576], [-1/4194304, -1/4194304]]]], [[10, 17
, 4, 2, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = -u^2+2, z = (u^2
-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-1, -1], [-388511/262144, -1554043/1048576], [
1651981/1048576, 825991/524288]]]], [[10, 17, 4, 2, 5], [v = 2^(1/2), And(3^(1
/2) < u,u < 2), x = -1, y = -u^2+2, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1],
[-388511/262144, -1554043/1048576], [3, 3]]]], [[10, 19, 1, 5, 1], [v = 2^(1/2
), 2 < u, x < -u^2+1, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [5, 5], [-\
3, -3]]]], [[10, 19, 1, 5, 2], [v = 2^(1/2), 2 < u, x < -u^2+1, And(-u^2-x+1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [5, 5], [-2, -2]]]], [[10, 19, 1, 5, 3], [v = 2^(1
/2), 2 < u, x < -u^2+1, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9,
-9], [5, 5], [0, 0]]]], [[10, 19, 1, 5, 4], [v = 2^(1/2), 2 < u, x < -u^2+1, 
And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [-9, -9], [5, 5], [2, 2]]]], [[10, 19, 1, 5, 5], [v
= 2^(1/2), 2 < u, x < -u^2+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [5, 5], [3
, 3]]]], [[11, 1, 7, 8, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [29/
2, 29/2], [0, 0]]]], [[11, 5, 4, 8, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = -1, y = 1, z < 0], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1, -1], [1, 1], [-1, -1]]]], [[11, 5, 4, 8, 2], [2^(1/2) < v
, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 1, z = 0], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-1, -1], [1, 1], [0, 0]]]], [[11, 5, 4,
8, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 1, 0 < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [1, 1], [1
, 1]]]], [[11, 7, 5, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(
-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288,
-391287/524288], [1048577/2097152, 1048577/2097152], [-2, -2]]]], [[11, 7, 5,
7, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1
), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [
1048577/2097152, 1048577/2097152], [-16263/32768, -520415/1048576]]]], [[11, 7
, 5, 7, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+
v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[11,
7, 5, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2
+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [
1048577/2097152, 1048577/2097152], [520415/1048576, 16263/32768]]]], [[11, 7,
5, 7, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3]
, [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [
1048577/2097152, 1048577/2097152], [2, 2]]]], [[11, 12, 8, 6, 1], [2^(1/2) < v
, u = (v^2-2)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [1, 1], [0, 0], [0, 0]]]], [[11, 14, 7, 5, 1], [2^(1/2)
< v, u = (v^2-1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-1/4, -\
1/4], [0, 0]]]], [[11, 18, 8, 3, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, 
And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [207243/65536
, 3315889/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[11, 18, 8, 3, 2], [2^(1/2
) < v, u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-2, -2], [-1
, -1]]]], [[11, 18, 8, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, And(-3 <
y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3],
[207243/65536, 3315889/1048576], [1, 1], [-2, -2], [0, 0]]]], [[11, 18, 8, 3,
4], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/
2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-2, -2
], [1, 1]]]], [[11, 18, 8, 3, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, And(
-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1, 1], [-2, -2], [2, 2]]]], [[11, 20, 5, 8, 1], [2^(1/2) <
v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[
1, 5, 6, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, 
And(-2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-\
33112529/67108864, -33112529/67108864], [-2, -2]]]], [[1, 5, 6, 3, 2], [v < -2
^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y <
0), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [-33112529/67108864, -\
33112529/67108864], [-34359738247/34359738368, -281474975719423/
281474976710656]]]], [[1, 5, 6, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/2) <
z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [-33112529/67108864, -\
33112529/67108864], [-267444223/562949953421312, -267444223/562949953421312]]]
], [[1, 5, 6, 3, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2
-1, And(-2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
-3, -3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152]
, [-33112529/67108864, -33112529/67108864], [1048575/1048576, 1]]]], [[1, 5, 6
, 3, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u
^2+2*v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-\
33112529/67108864, -33112529/67108864], [2, 2]]]], [[1, 7, 6, 7, 1], [v < -2^(
1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [2, 2], [0, 0]]]], [[1, 11, 4, 4, 1], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = 0, z < -1], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[1, 11, 4, 4
, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, y = 0,
z = -1], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[1
, 11, 4, 4, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x =
-1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [0
, 0], [0, 0]]]], [[1, 11, 4, 4, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[-3, -3], [0, 0], [-1,
-1], [0, 0], [1, 1]]]], [[1, 11, 4, 4, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [0, 0]
, [-1, -1], [0, 0], [2, 2]]]], [[1, 13, 1, 3, 1], [v < -2^(1/2), And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4
, -4], [1564115/2097152, 1564115/2097152], [-3, -3]]]], [[1, 13, 1, 3, 2], [v
< -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y
,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-4, -4], [1564115/2097152, 1564115/2097152], [-\
7566241/4194304, -236445/131072]]]], [[1, 13, 1, 3, 3], [v < -2^(1/2), And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-4, -4], [1564115/2097152, 1564115/2097152], [0, 0]]
]], [[1, 13, 1, 3, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2))
, x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain
, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [1564115/2097152, 
1564115/2097152], [236445/131072, 1891561/1048576]]]], [[1, 13, 1, 3, 5], [v <
-2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y
< u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-4, -4], [1564115/2097152, 1564115/2097152], [3, 3]]]], [[1,
19, 1, 2, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[1, 19, 1, 2, 2], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x
)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4,
-4], [0, 0], [-2, -2]]]], [[1, 19, 1, 2, 3], [v < -2^(1/2), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4]
, [0, 0], [0, 0]]]], [[1, 19, 1, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [0, 0], [2, 2]]]], [[1, 
19, 1, 2, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-4, -4], [0, 0], [3, 3]]]], [[1, 20, 7, 1, 1], [v < -2^(1/2
), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-5,
-5], [-4, -4]]]], [[1, 20, 7, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 <
x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/
1048576]]]], [[1, 20, 7, 1, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x
< 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3
, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-5, -5], [0, 0]]]], [[1
, 20, 7, 1, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3,
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[1, 20, 7, 1,
5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1/2, 1/2]
, [-5, -5], [4, 4]]]], [[2, 3, 2, 5, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x = -u^2+1, And(u^2-1 < y,y < 2*u^2-4), z = z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-650655/
262144, -2602619/1048576], [2855353/1048576, 2855353/1048576], [0, 0]]]], [[2,
5, 1, 4, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = -u^2-x+1,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [1599345/1048576, 799673/524288]
, [-3, -3]]]], [[2, 5, 1, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -
u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/
1048576, 799673/524288], [-636691/524288, -1273381/1048576]]]], [[2, 5, 1, 4,
3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = -u^2-x+1, And(-(u^
2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/
1048576, 799673/524288], [0, 0]]]], [[2, 5, 1, 4, 4], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x < -u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3
, -3], [1599345/1048576, 799673/524288], [1273381/1048576, 636691/524288]]]],
[[2, 5, 1, 4, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = -u^2
-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-6598195/4194304, -6598195/4194304], [-3, -3], [1599345/1048576, 799673/
524288], [3, 3]]]], [[2, 7, 2, 6, 1], [v = -2^(1/2), And(v < u,u < -1), x = u^
2-3, y = -u^2+3, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [
1617841/1048576, 808921/524288], [-1, -1]]]], [[2, 7, 2, 6, 2], [v = -2^(1/2),
And(v < u,u < -1), x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3235683/
2097152, -1617841/1048576], [1617841/1048576, 808921/524288], [0, 0]]]], [[2,
7, 2, 6, 3], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, y = -u^2+3, 0 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3235683/2097152, -1617841/1048576], [1617841/1048576, 
808921/524288], [1, 1]]]], [[2, 9, 1, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0),
x < u^2-3, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [21/8, 21/8], [-3, -\
3]]]], [[2, 9, 1, 5, 2], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, And(u^2-
x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-4, -4], [21/8, 21/8], [-1229565/1048576, -\
307391/262144]]]], [[2, 9, 1, 5, 3], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2
-3, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [
21/8, 21/8], [0, 0]]]], [[2, 9, 1, 5, 4], [v = -2^(1/2), And(-1 < u,u < 0), x
< u^2-3, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [21/8, 21/8], [
307391/262144, 1229565/1048576]]]], [[2, 9, 1, 5, 5], [v = -2^(1/2), And(-1 <
u,u < 0), x < u^2-3, And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [
21/8, 21/8], [3, 3]]]], [[2, 12, 7, 5, 1], [v = -2^(1/2), u = 1, And(0 < x,x <
1), And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 14, 6, 2, 1], [v =
-2^(1/2), u = -v, x = 1, y = -2, z < -1], [regular_chain, [[-1482911/1048576,
-741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-2, -2], [-2, -2]]
]], [[2, 14, 6, 2, 2], [v = -2^(1/2), u = -v, x = 1, y = -2, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [-2, -2], [-1, -1]]]], [[2, 14, 6, 2, 3], [v = -2^(1/2), u =
-v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [1, 1], [-2, -2], [0, 0]]]],
[[2, 14, 6, 2, 4], [v = -2^(1/2), u = -v, x = 1, y = -2, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [-2, -2], [1, 1]]]], [[2, 14, 6, 2, 5], [v = -2^(1/2), u = -
v, x = 1, y = -2, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [1, 1], [-2, -2], [2, 2]]]], [[3, 1, 2, 7, 1
], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 2*u^2-2*v^2
< y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[-4478937/524288, -8957873/1048576], [17, 17], [0, 0]]]], [[3, 2, 8, 6, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [0, 0], [0, 0]]]], [[3, 6, 7, 6, 1], [And(-2^(1/2) <
v,v < -1), u = v, 1 < x, y = 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [0, 0], [0, 0]
]]], [[3, 8, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, 
And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-2, -2], [-2, -\
2]]]], [[3, 8, 8, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1,
And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-2, -2], [-1, -\
1]]]], [[3, 8, 8, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1,
And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1,
1], [-2, -2], [0, 0]]]], [[3, 8, 8, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1]
, [-2, -2], [1, 1]]]], [[3, 8, 8, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-\
1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1]
, [-2, -2], [2, 2]]]], [[4, 1, 3, 4, 1], [v = -1, u < -3^(1/2), And(-u^2 < x,x
< -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5],
[0, 0], [-4, -4]]]], [[4, 1, 3, 4, 2], [v = -1, u < -3^(1/2), And(-u^2 < x,x <
-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [
0, 0], [-146543/65536, -2344687/1048576]]]], [[4, 1, 3, 4, 3], [v = -1, u < -3
^(1/2), And(-u^2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [-5, -5], [0, 0], [0, 0]]]], [[4, 1, 3, 4,
4], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-5, -5], [0, 0], [2344687/1048576, 146543
/65536]]]], [[4, 1, 3, 4, 5], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), y =
0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [0, 0], [4,
4]]]], [[4, 2, 9, 3, 1], [v = -1, u = -3^(1/2), 1 < x, And(-x-3 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[4, 2, 9, 3, 2], [v = -1, u = -3
^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [2, 2], [-7/2, -7/2], [-1284239/
1048576, -642119/524288]]]], [[4, 2, 9, 3, 3], [v = -1, u = -3^(1/2), 1 < x, 
And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [-7/2, -7/2], [0, 0
]]]], [[4, 2, 9, 3, 4], [v = -1, u = -3^(1/2), 1 < x, And(-x-3 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[4, 2, 9
, 3, 5], [v = -1, u = -3^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [-7
/2, -7/2], [3, 3]]]], [[4, 7, 1, 1, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2,
y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3],
[-1, -1], [-3, -3]]]], [[4, 7, 1, 1, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2
, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3]
, [-1, -1], [-2, -2]]]], [[4, 7, 1, 1, 3], [v = -1, And(-1 < u,u < 0), x < u^2
-2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [-3, -3], [-1, -1], [0, 0]]]], [[4, 7, 1, 1, 4], [v = -1, And(
-1 < u,u < 0), x < u^2-2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1/2, -1/2], [-3, -3], [-1, -1], [2, 2]]]], [[4, 7, 1, 1, 5], [v = -1, And(-1
< u,u < 0), x < u^2-2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [-3, -3], [-1, -1], [3, 3]]]], [[4, 8, 8, 5, 1], [v = -1, u = 0, x
= 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-1
/2, -1/2], [0, 0]]]], [[4, 14, 7, 1, 1], [v = -1, u = 3^(1/2), And(0 < x,x < 1
), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[4, 14, 7, 1, 2], [v = -\
1, u = 3^(1/2), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain
, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-5, -5], [-1112183
/524288, -2224365/1048576]]]], [[4, 14, 7, 1, 3], [v = -1, u = 3^(1/2), And(0
< x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-5, -5], [0, 0]]]]
, [[4, 14, 7, 1, 4], [v = -1, u = 3^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x
-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2,
1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[4, 14, 7, 1, 5], [v =
-1, u = 3^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain
, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-5, -5], [4, 4]]]]
, [[5, 1, 3, 9, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x
,x < -1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-\
43/8, -43/8], [15, 15], [0, 0]]]], [[5, 5, 1, 2, 1], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[0, 0], [-3, -3]]]], [[5, 5, 1, 2, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [0, 0], [-1816187/
1048576, -3632373/2097152]]]], [[5, 5, 1, 2, 3], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3,
-3], [0, 0], [-1/4194304, -1/4194304]]]], [[5, 5, 1, 2, 4], [And(-1 < v,v < 0)
, And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[0, 0], [908093/524288, 1816187/1048576]]]], [[5, 5, 1, 2, 5], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[0, 0], [3, 3]]]], [[5, 7, 1, 6, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x
< u^2-v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [0, 0], [-3, -3], [9/4, 9/4], [-2, -2]]]], [[5, 7, 1, 6, 2], [And(-1
< v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [9/4, 9/4], [-\
1816187/2097152, -3632373/4194304]]]], [[5, 7, 1, 6, 3], [And(-1 < v,v < 0), 
And(v < u,u < -v), x < u^2-v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [9/
4, 9/4], [-1/8388608, -1/8388608]]]], [[5, 7, 1, 6, 4], [And(-1 < v,v < 0), 
And(v < u,u < -v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [9/4, 9/4], [908093/1048576, 
454047/524288]]]], [[5, 7, 1, 6, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x
< u^2-v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [0, 0], [-3, -3], [9/4, 9/4], [2, 2]]]], [[5, 9, 3, 3, 1], [And(-1 < v,
v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^
2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/
1048576, -106039/1048576], [-3, -3]]]], [[5, 9, 3, 3, 2], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/1048576, -\
106039/1048576], [-1197115/1048576, -598557/524288]]]], [[5, 9, 3, 3, 3], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And
(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [0, 0]]]], [[5
, 9, 3, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -\
2521309/2097152], [-106039/1048576, -106039/1048576], [598557/524288, 1197115/
1048576]]]], [[5, 9, 3, 3, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309
/2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [3, 3]]]], [[
5, 11, 1, 9, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-4, -4], [6, 6], [0, 0]]]], [[6, 1, 6, 2, 1],
[v = 0, u < -2^(1/2), x = 0, y = -u^2-1, z < -(u^2+1)^(1/2)], [regular_chain,
[[0, 0], [-3, -3], [0, 0], [-10, -10], [-5, -5]]]], [[6, 1, 6, 2, 2], [v = 0,
u < -2^(1/2), x = 0, y = -u^2-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [0, 0], [-10, -10], [-3315889/1048576, -207243/65536]]]], [[6, 1, 6,
2, 3], [v = 0, u < -2^(1/2), x = 0, y = -u^2-1, And(-(u^2+1)^(1/2) < z,z < (u^
2+1)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [0, 0], [-10, -10], [0, 0]]]]
, [[6, 1, 6, 2, 4], [v = 0, u < -2^(1/2), x = 0, y = -u^2-1, z = (u^2+1)^(1/2)
], [regular_chain, [[0, 0], [-3, -3], [0, 0], [-10, -10], [207243/65536, 
3315889/1048576]]]], [[6, 1, 6, 2, 5], [v = 0, u < -2^(1/2), x = 0, y = -u^2-1
, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [0, 0], [-10, -10], [
5, 5]]]], [[6, 3, 3, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x
< -1), And(-u^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [-\
1527887/4194304, -1527887/4194304], [-3, -3]]]], [[6, 3, 3, 3, 2], [v = 0, And
(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z = -(
-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
-1812519/1048576, -1812519/1048576], [-1527887/4194304, -1527887/4194304], [-\
1516935/1048576, -758467/524288]]]], [[6, 3, 3, 3, 3], [v = 0, And(-2^(1/2) <
u,u < -1), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1812519/1048576, -1812519/1048576], [-1527887/4194304, -1527887/
4194304], [0, 0]]]], [[6, 3, 3, 3, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(-
u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/
1048576], [-1527887/4194304, -1527887/4194304], [758467/524288, 1516935/
1048576]]]], [[6, 3, 3, 3, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 <
x,x < -1), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0]
, [-1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576],
[-1527887/4194304, -1527887/4194304], [3, 3]]]], [[6, 9, 3, 4, 1], [v = 0, And
(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576,
-1812519/1048576], [0, 0], [-3, -3]]]], [[6, 9, 3, 4, 2], [v = 0, And(1 < u,u
< 2^(1/2)), And(-u^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/
1048576], [0, 0], [-689305/524288, -1378609/1048576]]]], [[6, 9, 3, 4, 3], [v
= 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576
], [-1812519/1048576, -1812519/1048576], [0, 0], [0, 0]]]], [[6, 9, 3, 4, 4],
[v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/
1048576, -1812519/1048576], [0, 0], [1378609/1048576, 689305/524288]]]], [[6,
9, 3, 4, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = 0, (-
x)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
1812519/1048576, -1812519/1048576], [0, 0], [3, 3]]]], [[6, 10, 9, 3, 1], [v =
0, u = 2^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-7/2, -7/2]
, [-3, -3]]]], [[6, 10, 9, 3, 2], [v = 0, u = 2^(1/2), 1 < x, And(-x-3 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[6, 10
, 9, 3, 3], [v = 0, u = 2^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [2, 2], [-7/2, -7/2], [0, 0]]]], [[6, 10, 9, 3, 4], [v = 0, u = 2^(1
/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0],
[741455/524288, 1482911/1048576], [2, 2], [-7/2, -7/2], [642119/524288, 
1284239/1048576]]]], [[6, 10, 9, 3, 5], [v = 0, u = 2^(1/2), 1 < x, And(-x-3 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911
/1048576], [2, 2], [-7/2, -7/2], [3, 3]]]], [[7, 3, 4, 5, 1], [And(0 < v,v < 1
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z < -
(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
-1, -1], [1/2, 1/2], [-2, -2]]]], [[7, 3, 4, 5, 2], [And(0 < v,v < 1), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2
)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1, -1], [
1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[7, 3, 4, 5, 3], [And(0 <
v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1)
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1, -1], [1/2, 1/2], [0, 0]]]], [[7, 3, 4, 5,
4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And
(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[7,
3, 4, 5, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1, -1], [1/2, 1/2], [2, 2]]]], [[7, 5, 3, 4,
1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x <
-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [-3, -3]]]],
[[7, 5, 3, 4, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+
v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [0,
0], [-143717/131072, -1149735/1048576]]]], [[7, 5, 3, 4, 3], [And(0 < v,v < 1)
, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)
^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [0, 0]]]], [[7
, 5, 3, 4, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2
-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [
1149735/1048576, 143717/131072]]]], [[7, 5, 3, 4, 5], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [0, 0], [3, 3]]]], [[8, 1, 8, 4, 1], [v = 1, u < -
3^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-1
, -1], [-1, -1]]]], [[8, 1, 8, 4, 2], [v = 1, u < -3^(1/2), x = 1, y = -1, z =
0], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-1, -1], [0, 0]]]], [[8, 1, 8,
4, 3], [v = 1, u < -3^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [
-3, -3], [1, 1], [-1, -1], [1, 1]]]], [[8, 3, 5, 7, 1], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), And(-1 < x,x < 0), And(-x < y,y < u^2-x-2), z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [
773191/1048576, 773191/1048576], [0, 0]]]], [[8, 7, 6, 3, 1], [v = 1, And(-1 <
u,u < 0), x = -u^2, And(2*u^2-2 < y,y < 0), z < -(u^2-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-3/4, -3/4], [-2, -2]]]],
[[8, 7, 6, 3, 2], [v = 1, And(-1 < u,u < 0), x = -u^2, And(2*u^2-2 < y,y < 0),
z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-3/
4, -3/4], [-1, -1]]]], [[8, 7, 6, 3, 3], [v = 1, And(-1 < u,u < 0), x = -u^2,
And(2*u^2-2 < y,y < 0), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-3/4, -3/4], [0, 0]]]], [
[8, 7, 6, 3, 4], [v = 1, And(-1 < u,u < 0), x = -u^2, And(2*u^2-2 < y,y < 0),
z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-3/4
, -3/4], [1, 1]]]], [[8, 7, 6, 3, 5], [v = 1, And(-1 < u,u < 0), x = -u^2, And
(2*u^2-2 < y,y < 0), (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2]
, [-1/4, -1/4], [-3/4, -3/4], [2, 2]]]], [[8, 9, 5, 6, 1], [v = 1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [1/2
, 1/2], [-5/8, -5/8], [3/8, 3/8], [-2, -2]]]], [[8, 9, 5, 6, 2], [v = 1, And(0
< u,u < 1), And(-1 < x,x < -u^2), y = -u^2-x, z = -u], [regular_chain, [[1, 1]
, [1/2, 1/2], [-5/8, -5/8], [3/8, 3/8], [-1/2, -1/2]]]], [[8, 9, 5, 6, 3], [v
= 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3/8, 3/8], [0, 0]]]], [[8,
9, 5, 6, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -u^2-x, z = u
], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3/8, 3/8], [1/2, 1/2]]]
], [[8, 9, 5, 6, 5], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = -u^2-
x, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [3/8, 3/8], [2,
2]]]], [[8, 15, 3, 3, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(-u^2-
x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-5, -5], [
-2, -2], [-4, -4]]]], [[8, 15, 3, 3, 2], [v = 1, 3^(1/2) < u, And(-u^2 < x,x <
-1), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3
], [-5, -5], [-2, -2], [-5548543/2097152, -2774271/1048576]]]], [[8, 15, 3, 3,
3], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3, 3], [-5, -5], [
-2, -2], [0, 0]]]], [[8, 15, 3, 3, 4], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -\
1), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3],
[-5, -5], [-2, -2], [2774271/1048576, 10837/4096]]]], [[8, 15, 3, 3, 5], [v =
1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[1, 1], [3, 3], [-5, -5], [-2, -2], [4, 4]]]], [[9, 1, 9, 4
, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y
= -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
7909297/2097152, 7909297/2097152], [-7909297/2097152, -7909297/2097152], [-1,
-1]]]], [[9, 1, 9, 4, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-7909297/2097152, -\
7909297/2097152], [0, 0]]]], [[9, 1, 9, 4, 3], [And(1 < v,v < 2^(1/2)), u < -(
v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152
], [-7909297/2097152, -7909297/2097152], [1, 1]]]], [[9, 5, 6, 4, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [0, 0
], [-2, -2]]]], [[9, 5, 6, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [0, 0], [-1530309/2097152, -382577/524288]]
]], [[9, 5, 6, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [0, 0], [0, 0]]]], [[9,
5, 6, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-
v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [0, 0], [382577/524288, 765155/1048576]]]], [[9, 5, 6, 4, 5],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [0,
0], [2, 2]]]], [[9, 7, 7, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2
-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-225185/
2097152, -225185/2097152], [-2, -2]]]], [[9, 7, 7, 5, 2], [And(1 < v,v < 2^(1/
2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x
-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/
1048576], [-225185/2097152, -225185/2097152], [-595135/1048576, -1190269/
2097152]]]], [[9, 7, 7, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1
)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/
1048576], [-225185/2097152, -225185/2097152], [-1/4194304, -1/4194304]]]], [[9
, 7, 7, 5, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u
^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-225185/2097152, -\
225185/2097152], [297567/524288, 595135/1048576]]]], [[9, 7, 7, 5, 5], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [-225185/2097152, -225185/2097152], [2, 2]]]], [[9,
9, 6, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = 0, And(0 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [0, 0], [0, 0], [239655/1048576, 239655/1048576], [0, 0]]]
], [[9, 11, 5, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [374737/524288, 374737/524288], [-1, -1]]]], [[9, 11, 5, 8, 2], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1),
y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-374737/524288, -374737/524288], [374737/524288, 
374737/524288], [0, 0]]]], [[9, 11, 5, 8, 3], [And(1 < v,v < 2^(1/2)), And((v^
2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [374737/524288, 374737/524288], [1
, 1]]]], [[9, 15, 6, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [0, 0], [0, 0], [-1, -1]]]],
[[9, 15, 6, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [0, 0], [0, 0], [0, 0]]]], [[9, 15,
6, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 0, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [0, 0], [0, 0], [1, 1]]]], [[9, 17, 3, 9, 1], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2
-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[-10006449/2097152, -10006449/2097152], [13, 13], [0, 0]]]], [[10, 5, 6, 6, 1]
, [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, y = -u^2+3, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [550769/1048576, 275385/524288],
[-1, -1]]]], [[10, 5, 6, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^
2-3, y = -u^2+3, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [
550769/1048576, 275385/524288], [0, 0]]]], [[10, 5, 6, 6, 3], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [550769/1048576, 275385/524288], [1, 1]]]],
[[10, 7, 7, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [239655/2097152, 239655/2097152], [-2, -2]]]], [[10, 7, 7, 7,
2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(0 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [
239655/2097152, 239655/2097152], [-354469/1048576, -88617/262144]]]], [[10, 7,
7, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [239655/2097152, 239655/2097152], [0, 0]]]], [[10,
7, 7, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [
239655/2097152, 239655/2097152], [88617/262144, 354469/1048576]]]], [[10, 7, 7
, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [
239655/2097152, 239655/2097152], [2, 2]]]], [[10, 11, 4, 7, 1], [v = 2^(1/2),
And(0 < u,u < 1), x = -1, And(1 < y,y < -u^2+2), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [11/8, 11/8], [0, 0]]]]
, [[10, 13, 4, 1, 1], [v = 2^(1/2), And(1 < u,u < v), x = -1, y < u^2-2, z < -
(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[10, 13, 4, 1, 2]
, [v = 2^(1/2), And(1 < u,u < v), x = -1, y < u^2-2, z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[10, 
13, 4, 1, 3], [v = 2^(1/2), And(1 < u,u < v), x = -1, y < u^2-2, And(-(1-y)^(1
/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[10, 13, 4, 1, 4], [v = 2^(1/2), And(1 < u,u < v), x = -1, y < u
^2-2, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187
/1048576]]]], [[10, 13, 4, 1, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, y <
u^2-2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[11, 3, 5,
3, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x
< 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -\
133818123/134217728], [-3, -3]]]], [[11, 3, 5, 3, 2], [2^(1/2) < v, And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [-133818123/134217728, -133818123/134217728], [-\
1282963/1048576, -641481/524288]]]], [[11, 3, 5, 3, 3], [2^(1/2) < v, And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -\
133818123/134217728], [0, 0]]]], [[11, 3, 5, 3, 4], [2^(1/2) < v, And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0)
, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [-133818123/134217728, -133818123/134217728], [641481/
524288, 1282963/1048576]]]], [[11, 3, 5, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-
x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576]
, [-1/2, -1/2], [-133818123/134217728, -133818123/134217728], [3, 3]]]], [[11,
5, 4, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1, -1], [517383/1048576, 64673/131072], [-2, -2]]]], [[11, 5, 4, 6,
2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, z = -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-1, -1], [517383/1048576, 64673/131072], [-373161/524288, -1492643/2097152]]]
], [[11, 5, 4, 6, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y
= u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [517383/
1048576, 64673/131072], [-1/4194304, -1/4194304]]]], [[11, 5, 4, 6, 4], [2^(1/
2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^
(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [
517383/1048576, 64673/131072], [746321/1048576, 373161/524288]]]], [[11, 5, 4,
6, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, (-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-1, -1], [517383/1048576, 64673/131072], [2, 2]]]], [[11, 9, 4, 9, 1], [2^(
1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, z
= z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1
], [3, 3], [0, 0]]]], [[11, 11, 2, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [5, 5], [-4, -4]]]],
[[11, 11, 2, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
= u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-10, -10], [5, 5], [-146543/65536, -2344687/
1048576]]]], [[11, 11, 2, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2
) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-10, -10],
[5, 5], [0, 0]]]], [[11, 11, 2, 3, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)
^(1/2)], [regular_chain, [[3, 3], [0, 0], [-10, -10], [5, 5], [2344687/1048576
, 146543/65536]]]], [[11, 11, 2, 3, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/
2) < z], [regular_chain, [[3, 3], [0, 0], [-10, -10], [5, 5], [4, 4]]]], [[11,
16, 6, 7, 1], [2^(1/2) < v, u = v, x = 1, 0 < y, z = z], [regular_chain, [[3,
3], [3, 3], [1, 1], [1, 1], [0, 0]]]], [[11, 18, 8, 1, 1], [2^(1/2) < v, u = (
v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[11, 18, 8, 1,
2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-4, -4], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 18, 8, 1, 3], [2^(1/2) < v, u = (
v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-4, -4], [-1
/4194304, -1/4194304]]]], [[11, 18, 8, 1, 4], [2^(1/2) < v, u = (v^2+1)^(1/2),
x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[11,
18, 8, 1, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z
], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-4, -4],
[3, 3]]]], [[1, 1, 9, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), y = 0, z = z], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [0, 0]
, [0, 0]]]], [[1, 3, 6, 5, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [0, 0], [129511/524288, 129511/524288]
, [0, 0]]]], [[1, 7, 7, 7, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [258285/2097152, 258285/2097152], [-2, -2]]]], [[1,
7, 7, 7, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,
x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [
258285/2097152, 258285/2097152], [-183995/524288, -367989/1048576]]]], [[1, 7,
7, 7, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [258285/2097152, 258285/2097152], [0, 0]]]], [[1, 7
, 7, 7, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [
258285/2097152, 258285/2097152], [367989/1048576, 183995/524288]]]], [[1, 7, 7
, 7, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [258285/
2097152, 258285/2097152], [2, 2]]]], [[1, 9, 6, 4, 1], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [0, 0], [-1, -1]]]], [[
1, 9, 6, 4, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
0, y = 0, z = 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [0, 0], [0, 0], [0, 0]]]], [[1, 9, 6, 4, 3], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [0, 0], [1, 1]]]], [[1,
14, 9, 7, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [1, 1], [0
, 0]]]], [[1, 17, 1, 4, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [-3, -3], [197471/131072, 1579769/1048576]
, [-3, -3]]]], [[1, 17, 1, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [-3, -3], [197471/131072, 1579769/
1048576], [-1281417/1048576, -160177/131072]]]], [[1, 17, 1, 4, 3], [v < -2^(1
/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-3, -3], [197471/131072, 1579769/1048576], [0, 0]]]]
, [[1, 17, 1, 4, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^
2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-3, -3], [197471/131072, 1579769/1048576], [
160177/131072, 1281417/1048576]]]], [[1, 17, 1, 4, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [197471
/131072, 1579769/1048576], [3, 3]]]], [[1, 20, 7, 8, 1], [v < -2^(1/2), u = (v
^2+2)^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[2, 1, 4
, 7, 1], [v = -2^(1/2), u < -2, x = -1, And(1 < y,y < u^2-2), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [4, 4]
, [0, 0]]]], [[2, 10, 8, 3, 1], [v = -2^(1/2), u = 0, x = 1, And(-4 < y,y < -1
), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0
, 0], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[2, 10, 8, 3, 2], [v = -2^(1/2), u =
0, x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [1, 1], [-5/2, -5/2], [-1284239/1048576, -\
642119/524288]]]], [[2, 10, 8, 3, 3], [v = -2^(1/2), u = 0, x = 1, And(-4 < y,
y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [1, 1], [-5/2, -5/2], [0, 0]]]], [[2, 10, 8,
3, 4], [v = -2^(1/2), u = 0, x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-5/2, -5/
2], [642119/524288, 1284239/1048576]]]], [[2, 10, 8, 3, 5], [v = -2^(1/2), u =
0, x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [1, 1], [-5/2, -5/2], [3, 3]]]], [[2, 12, 6,
3, 1], [v = -2^(1/2), u = 1, x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [-1, -1],
[-2, -2]]]], [[2, 12, 6, 3, 2], [v = -2^(1/2), u = 1, x = 0, And(-2 < y,y < 0)
, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1
], [0, 0], [-1, -1], [-1, -1]]]], [[2, 12, 6, 3, 3], [v = -2^(1/2), u = 1, x =
0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [0, 0], [-1, -1], [0, 0]]]], [[2, 
12, 6, 3, 4], [v = -2^(1/2), u = 1, x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [-1, -1],
[1, 1]]]], [[2, 12, 6, 3, 5], [v = -2^(1/2), u = 1, x = 0, And(-2 < y,y < 0),
(-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1],
[0, 0], [-1, -1], [2, 2]]]], [[2, 16, 7, 7, 1], [v = -2^(1/2), u = 3^(1/2), 
And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[2,
18, 5, 1, 1], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/
2], [-4, -4], [-4, -4]]]], [[2, 18, 5, 1, 2], [v = -2^(1/2), u = 2, And(-1 < x
,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/
1048576]]]], [[2, 18, 5, 1, 3], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y < -
x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[2, 18,
5, 1, 4], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y < -x-3, z = (-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [
-4, -4], [2224365/1048576, 1112183/524288]]]], [[2, 18, 5, 1, 5], [v = -2^(1/2
), u = 2, And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [-4, -4], [4, 4]]]], [
[3, 4, 8, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y = -3,
z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [1, 1], [-3, -3], [-3, -3]]]], [[3, 4, 8, 2, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[3
, 4, 8, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y = -3, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [1, 1], [-3, -3], [0, 0]]]], [[3
, 4, 8, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y = -3, z
= 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]
]], [[3, 4, 8, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y
= -3, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [1, 1], [-3, -3], [3, 3]]]], [[3, 6, 6, 6, 1
], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [0, 0], [0, 0]]]], [[3, 10, 8, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-\
1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [-4, -4],
[-3, -3]]]], [[3, 10, 8, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [-4, -4], [-1816187
/1048576, -3632373/2097152]]]], [[3, 10, 8, 1, 3], [And(-2^(1/2) < v,v < -1),
u = (v^2-1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[3, 10, 8, 1, 4], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[3, 10, 8, 1
, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y < -3, (-y-1)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288,
708939/1048576], [1, 1], [-4, -4], [3, 3]]]], [[3, 12, 6, 5, 1], [And(-2^(1/2)
< v,v < -1), u = -v, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1]
, [-1/2, -1/2], [0, 0]]]], [[3, 14, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1]
, [-2, -2], [-2, -2]]]], [[3, 14, 8, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1],
[-2, -2], [-1, -1]]]], [[3, 14, 8, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+
1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [1, 1], [-2, -2], [0, 0]]]], [[3, 14, 8, 3, 4], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [1, 1], [-2, -2], [1, 1]]]], [[3, 14, 8, 3, 5], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [1, 1], [-2, -2], [2, 2]]]], [[3, 16, 5, 4, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 16, 5, 4, 2], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[3, 
16, 5, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [0,
0], [0, 0]]]], [[3, 16, 5, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2)
, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[3, 16, 5, 4, 5], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[4, 2, 9, 8, 1], [v = -1, u = -3^(
1/2), 1 < x, y = 0, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [2, 2], [0, 0], [0, 0]]]], [[4, 4, 8, 3, 1], [v = -1, u = -2
^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -\
1], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-2, -2]]]], [[4, 4,
8, 3, 2], [v = -1, u = -2^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)]
, [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [-2,
-2], [-1, -1]]]], [[4, 4, 8, 3, 3], [v = -1, u = -2^(1/2), x = 1, And(-3 < y,y
< -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1, 1], [-2, -2], [0, 0]]]], [[4, 4, 8, 3, 4
], [v = -1, u = -2^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [-2, -2]
, [1, 1]]]], [[4, 4, 8, 3, 5], [v = -1, u = -2^(1/2), x = 1, And(-3 < y,y < -1
), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [1, 1], [-2, -2], [2, 2]]]], [[4, 11, 1, 4, 1], [v = -1, And(1 < u,u
< 2^(1/2)), x < -u^2, y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [1265743
/1048576, 1265743/1048576], [-3, -3], [1617841/1048576, 808921/524288], [-3, -\
3]]]], [[4, 11, 1, 4, 2], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -u^2-
x, z = -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3
, -3], [1617841/1048576, 808921/524288], [-1265743/1048576, -1265743/1048576]]
]], [[4, 11, 1, 4, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -u^2-x,
And(-u < z,z < u)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [1617841/1048576, 808921/524288], [0, 0]]]], [[4, 11, 1, 4
, 4], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [
1617841/1048576, 808921/524288], [1265743/1048576, 1265743/1048576]]]], [[4, 
11, 1, 4, 5], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -u^2-x, u < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [
1617841/1048576, 808921/524288], [3, 3]]]], [[4, 12, 9, 1, 1], [v = -1, u = 2^
(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455
/524288, 1482911/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[4, 12, 9, 1, 2], [
v = -1, u = 2^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1
, -1], [741455/524288, 1482911/1048576], [2, 2], [-5, -5], [-1816187/1048576,
-3632373/2097152]]]], [[4, 12, 9, 1, 3], [v = -1, u = 2^(1/2), 1 < x, y < -x-2
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [741455
/524288, 1482911/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[4,
12, 9, 1, 4], [v = -1, u = 2^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[4, 12, 9, 1, 5], [v = -1, u = 2^(1/2),
1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [2, 2], [-5, -5], [3, 3]]]], [[5, 1, 4, 5, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[5
, 1, 4, 5, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1
), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [1/2,
1/2], [-1482911/2097152, -741455/1048576]]]], [[5, 1, 4, 5, 3], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [1/2, 1/2], [
0, 0]]]], [[5, 1, 4, 5, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, 
And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[5, 1, 4, 5, 5], [And(
-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[5,
3, 1, 4, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
< -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [1611109/1048576, 805555
/524288], [-3, -3]]]], [[5, 3, 1, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4,
-4], [1611109/1048576, 805555/524288], [-3291611/2097152, -1645805/1048576]]]]
, [[5, 3, 1, 4, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[-4, -4], [1611109/1048576, 805555/524288], [0, 0]]]], [[5, 3, 1, 4, 4], [And(
-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-4, -4], [1611109/1048576, 805555/524288], [1645805/
1048576, 822903/524288]]]], [[5, 3, 1, 4, 5], [And(-1 < v,v < 0), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
-4, -4], [1611109/1048576, 805555/524288], [3, 3]]]], [[5, 12, 8, 7, 1], [And(
-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-1/2
, -1/2], [3/2, 3/2], [1, 1], [1, 1], [0, 0]]]], [[6, 1, 5, 6, 1], [v = 0, u <
-2^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[0, 0], [-3, -3]
, [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[6, 1, 5, 6, 2], [v = 0, u < -2^(1/2
), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[0, 0], [-3, -3], [-1/2
, -1/2], [1/2, 1/2], [0, 0]]]], [[6, 1, 5, 6, 3], [v = 0, u < -2^(1/2), And(-1
< x,x < 0), y = -x, 0 < z], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [
1/2, 1/2], [1, 1]]]], [[6, 5, 3, 1, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1
< x,x < -1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2,
-1/2], [-9/8, -9/8], [-2, -2], [-3, -3]]]], [[6, 5, 3, 1, 2], [v = 0, And(-1 <
u,u < 0), And(-u^2-1 < x,x < -1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-2, -2], [-7414553/
4194304, -926819/524288]]]], [[6, 5, 3, 1, 3], [v = 0, And(-1 < u,u < 0), And(
-u^2-1 < x,x < -1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-2, -2], [0, 0]]]], [[6,
5, 3, 1, 4], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y < -u^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-2, -\
2], [926819/524288, 1853639/1048576]]]], [[6, 5, 3, 1, 5], [v = 0, And(-1 < u,
u < 0), And(-u^2-1 < x,x < -1), y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-2, -2], [3, 3]]]], [[6,
7, 3, 5, 1], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(0 < y,y < u
^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8]
, [3/16, 3/16], [-2, -2]]]], [[6, 7, 3, 5, 2], [v = 0, And(0 < u,u < 1), And(-
u^2-1 < x,x < -1), And(0 < y,y < u^2-x-1), z = -(-x-y)^(1/2)], [regular_chain,
[[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/16, 3/16], [-8122235/8388608, -16244469/
16777216]]]], [[6, 7, 3, 5, 3], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -\
1), And(0 < y,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3/16, 3/16], [-5/33554432,
-5/33554432]]]], [[6, 7, 3, 5, 4], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x
< -1), And(0 < y,y < u^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/
2, 1/2], [-9/8, -9/8], [3/16, 3/16], [1015279/1048576, 63455/65536]]]], [[6, 7
, 3, 5, 5], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(0 < y,y < u^
2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8],
[3/16, 3/16], [2, 2]]]], [[7, 1, 7, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/
2), And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [-3, -3], [1/2, 1/2], [-12, -12], [-5, -5]]]], [[7, 1, 7, 1, 2], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-12, -12],
[-3555895/1048576, -1777947/524288]]]], [[7, 1, 7, 1, 3], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-12, -12
], [0, 0]]]], [[7, 1, 7, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 <
x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
3, -3], [1/2, 1/2], [-12, -12], [1777947/524288, 3555895/1048576]]]], [[7, 1,
7, 1, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^
2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [
-12, -12], [5, 5]]]], [[7, 3, 3, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [4, 4], [0, 0]]]], [[7, 7, 4, 7, 1], [And(0 < v,v
< 1), And(-v < u,u < v), x = -1, And(-u^2+v^2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [5/8, 5/8], [-2, -2]]]], [[7, 7,
4, 7, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(-u^2+v^2 < y,y < 1
), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [5/8, 5/8
], [-1284239/2097152, -642119/1048576]]]], [[7, 7, 4, 7, 3], [And(0 < v,v < 1)
, And(-v < u,u < v), x = -1, And(-u^2+v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [5/8, 5/8], [0,
0]]]], [[7, 7, 4, 7, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(-u^
2+v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1,
-1], [5/8, 5/8], [642119/1048576, 80265/131072]]]], [[7, 7, 4, 7, 5], [And(0 <
v,v < 1), And(-v < u,u < v), x = -1, And(-u^2+v^2 < y,y < 1), (1-y)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [5/8, 5/8], [2, 2]]]], [[7, 9
, 5, 2, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^
2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152],
[-159059/262144, -1272471/2097152], [-3, -3]]]], [[7, 9, 5, 2, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-
x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-159059/262144, -\
1272471/2097152], [-19417/16384, -1242687/1048576]]]], [[7, 9, 5, 2, 3], [And(
0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^
2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-159059/262144, -1272471/2097152], [0, 0]]]], [[7, 9, 5, 2, 4], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-159059/
262144, -1272471/2097152], [1242687/1048576, 19417/16384]]]], [[7, 9, 5, 2, 5]
, [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1),
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
159059/262144, -1272471/2097152], [3, 3]]]], [[7, 11, 4, 7, 1], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(1 < y,y < u^2-v^2),
z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1],
[1291597/1048576, 1291597/1048576], [0, 0]]]], [[7, 13, 2, 1, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [-1, -1], [-5, -5]]]], [[7
, 13, 2, 1, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z
= -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4],
[-1, -1], [-3437987/1048576, -1718993/524288]]]], [[7, 13, 2, 1, 3], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) <
z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/
4], [-1, -1], [0, 0]]]], [[7, 13, 2, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) <
u, x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2
], [3, 3], [-39/4, -39/4], [-1, -1], [1718993/524288, 3437987/1048576]]]], [[7
, 13, 2, 1, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, (
u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4],
[-1, -1], [5, 5]]]], [[8, 3, 6, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = 0, y < -u^2, z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [0, 0], [-4, -4], [-3, -3]]]], [[8, 3, 6, 1, 2], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y < -u^2, z = -(-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-4, -4]
, [-2, -2]]]], [[8, 3, 6, 1, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0
, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-4, -4], [0, 0]]]], [[8, 3, 6, 1,
4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y < -u^2, z = (-y)^(1/2)],
[regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [-4, -4
], [2, 2]]]], [[8, 3, 6, 1, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0,
y < -u^2, (-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-4, -4], [3, 3]]]], [[8, 5, 5, 4, 1], [v = 1, And(-
2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [0, 0], [-2, -2]]]], [[8, 5, 5, 4, 2], [v = 1, And
(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [0, 0], [-7367887/8388608, -3683943/4194304]]]], [
[8, 5, 5, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [0, 0], [-3/
8388608, -3/8388608]]]], [[8, 5, 5, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), 
And(-1 < x,x < u^2-2), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [0,
0], [920985/1048576, 460493/524288]]]], [[8, 5, 5, 4, 5], [v = 1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), y = 0, (-x)^(1/2) < z], [regular_chain, [[
1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [0, 0], [2, 2]]]], [[8, 11, 6, 4, 1], [v = 1, And(1 < u,u < 2^(1/2))
, x = u^2-2, y = 0, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0], [-2, -\
2]]]], [[8, 11, 6, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = 0, z
= -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1138531/2097152, -569265/1048576], [0, 0], [-772605/1048576, -1545209/
2097152]]]], [[8, 11, 6, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y =
0, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0]
, [-1/4194304, -1/4194304]]]], [[8, 11, 6, 4, 4], [v = 1, And(1 < u,u < 2^(1/2
)), x = u^2-2, y = 0, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0], [
193151/262144, 772605/1048576]]]], [[8, 11, 6, 4, 5], [v = 1, And(1 < u,u < 2^
(1/2)), x = u^2-2, y = 0, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0]
, [2, 2]]]], [[8, 13, 5, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 <
x,x < 0), And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [1546381/2097152, 1546381/2097152], [
0, 0]]]], [[9, 1, 9, 7, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1
< x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152
], [363259/262144, 363259/262144], [0, 0]]]], [[9, 3, 7, 3, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [-3101083/2097152, -3101083/2097152], [-3, -3]]]], [
[9, 3, 7, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608,
-14373233/8388608], [501965/2097152, 501965/2097152], [-3101083/2097152, -\
3101083/2097152], [-583671/524288, -1167341/1048576]]]], [[9, 3, 7, 3, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,
x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-3101083/
2097152, -3101083/2097152], [0, 0]]]], [[9, 3, 7, 3, 4], [And(1 < v,v < 2^(1/2
)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(
-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 
501965/2097152], [-3101083/2097152, -3101083/2097152], [1167341/1048576, 
583671/524288]]]], [[9, 3, 7, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [-\
3101083/2097152, -3101083/2097152], [3, 3]]]], [[9, 13, 6, 7, 1], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [2, 2], [0, 0]]]], [[9,
15, 6, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-4, -4], [-3, -3]]]
], [[9, 15, 6, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [0, 0], [-4, -4], [
-2, -2]]]], [[9, 15, 6, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327
/524288], [0, 0], [-4, -4], [0, 0]]]], [[9, 15, 6, 1, 4], [And(1 < v,v < 2^(1/
2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288,
898327/524288], [0, 0], [-4, -4], [2, 2]]]], [[9, 15, 6, 1, 5], [And(1 < v,v <
2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, (-y
)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [0, 0], [-4, -4], [3, 3]]]], [[10, 1, 10, 1, 1], [v =
2^(1/2), u < -2, x = u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [-15, -15]
, [-4, -4]]]], [[10, 1, 10, 1, 2], [v = 2^(1/2), u < -2, x = u^2-3, y < -2*u^2
+4, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [6, 6], [-15, -15], [-3, -3]]]], [[10, 1, 10, 1, 3], [v = 2^(1/2), u
< -2, x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [-15,
-15], [0, 0]]]], [[10, 1, 10, 1, 4], [v = 2^(1/2), u < -2, x = u^2-3, y < -2*u
^2+4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [6, 6], [-15, -15], [3, 3]]]], [[10, 1, 10, 1, 5], [v = 2^(1/2), u
< -2, x = u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-3, -3], [6, 6], [-15, -15], [4, 4]]]], [[10, 3, 7
, 6, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = 0,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [505467/2097152, 505467/2097152], [0, 0], [0, 0]]]], [[10,
9, 7, 1, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y < u^2-x
-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1
/2, -1/2], [3/8, 3/8], [-5, -5], [-4, -4]]]], [[10, 9, 7, 1, 2], [v = 2^(1/2),
And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y < u^2-x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-\
5, -5], [-281881/131072, -2255047/1048576]]]], [[10, 9, 7, 1, 3], [v = 2^(1/2)
, And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2,
-1/2], [3/8, 3/8], [-5, -5], [0, 0]]]], [[10, 9, 7, 1, 4], [v = 2^(1/2), And(-\
1 < u,u < 0), And(0 < x,x < -u^2+1), y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-\
5, -5], [2255047/1048576, 281881/131072]]]], [[10, 9, 7, 1, 5], [v = 2^(1/2),
And(-1 < u,u < 0), And(0 < x,x < -u^2+1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-\
5, -5], [4, 4]]]], [[10, 11, 4, 4, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -1,
y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[-1, -1], [0, 0], [-2, -2]]]], [[10, 11, 4, 4, 2], [v = 2^(1/2), And(0 < u,u <
1), x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [-1, -1], [0, 0], [-1, -1]]]], [[10, 11, 4, 4, 3], [v = 2^(1/2), 
And(0 < u,u < 1), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[10, 11, 4
, 4, 4], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y = 0, z = 1], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [0, 0], [1, 1]]]],
[[10, 11, 4, 4, 5], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y = 0, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [0, 0]
, [2, 2]]]], [[10, 15, 4, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1,
1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [2, 2], [0, 0]]]], [[10, 17, 4, 3, 1], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/2097152], [-3, -3]]]],
[[10, 17, 4, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(-u^2+2 <
y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3913339/2097152, 3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [-1383575/1048576, -691787/524288]]]], [[10, 17, 4, 3, 3], [v = 2^(1
/2), And(3^(1/2) < u,u < 2), x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [0, 0]]]], [[10, 17, 4, 3, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = -1, And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1], [-\
1554043/2097152, -1554043/2097152], [691787/524288, 1383575/1048576]]]], [[10,
17, 4, 3, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(-u^2+2 < y,y <
0), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [3, 3]]]], [[10, 19, 1, 6, 1], [v = 2^(1/2), 2 < u, x < -u^2+1, y =
-x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9
], [9, 9], [-1, -1]]]], [[10, 19, 1, 6, 2], [v = 2^(1/2), 2 < u, x < -u^2+1, y
= -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9,
-9], [9, 9], [0, 0]]]], [[10, 19, 1, 6, 3], [v = 2^(1/2), 2 < u, x < -u^2+1, y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9,
-9], [9, 9], [1, 1]]]], [[11, 1, 7, 9, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [-5, -5],
[1/2, 1/2], [16, 16], [0, 0]]]], [[11, 5, 4, 7, 1], [2^(1/2) < v, And(-(v^2+1)
^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [195745/
262144, 195745/262144], [-2, -2]]]], [[11, 5, 4, 7, 2], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [195745/
262144, 195745/262144], [-527729/1048576, -1055457/2097152]]]], [[11, 5, 4, 7,
3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y <
1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1, -1], [195745/262144, 195745/262144], [-1/4194304
, -1/4194304]]]], [[11, 5, 4, 7, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3]
, [-403851/131072, -403851/131072], [-1, -1], [195745/262144, 195745/262144],
[32983/65536, 527729/1048576]]]], [[11, 5, 4, 7, 5], [2^(1/2) < v, And(-(v^2+1
)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [195745/
262144, 195745/262144], [2, 2]]]], [[11, 7, 5, 6, 1], [2^(1/2) < v, And(-v < u
,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [133001/524288, 266003/1048576], [-2, -2]]]]
, [[11, 7, 5, 6, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,
x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288],
[133001/524288, 266003/1048576], [-735979/1048576, -1471957/2097152]]]], [[11,
7, 5, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2
+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288
, -391287/524288], [133001/524288, 266003/1048576], [-1/4194304, -1/4194304]]]
], [[11, 7, 5, 6, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x
,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288],
[133001/524288, 266003/1048576], [367989/524288, 735979/1048576]]]], [[11, 7,
5, 6, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [133001/
524288, 266003/1048576], [2, 2]]]], [[11, 12, 8, 7, 1], [2^(1/2) < v, u = (v^2
-2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [1, 1], [1, 1], [0, 0]]]], [[11, 14, 7, 6, 1], [2^(1/2) < v, u =
(v^2-1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 18, 8, 2
, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-3, -3], [-3
, -3]]]], [[11, 18, 8, 2, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, y = -3,
z = -2^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1
], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[11, 18, 8, 2, 3], [2^(1/
2) < v, u = (v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-3, -3], [0,
0]]]], [[11, 18, 8, 2, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 1, y = -3, z =
2^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1, 1], [-\
3, -3], [741455/524288, 1482911/1048576]]]], [[11, 18, 8, 2, 5], [2^(1/2) < v,
u = (v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [1, 1], [-3, -3], [3, 3]]]], [[11, 20, 5, 7, 1
], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x), z
= z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2]
, [1, 1], [0, 0]]]], [[1, 1, 9, 9, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(
1 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [-5,
-5], [8, 8], [8, 8], [0, 0]]]], [[1, 3, 7, 5, 1], [v < -2^(1/2), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-x < y,y < 0), z
= z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511
/524288, 129511/524288], [-129511/1048576, -129511/1048576], [0, 0]]]], [[1, 7
, 7, 8, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 0), y = -x, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [258285/1048576, 129143/524288],
[-1, -1]]]], [[1, 7, 7, 8, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [
258285/1048576, 129143/524288], [0, 0]]]], [[1, 7, 7, 8, 3], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [258285/1048576, 129143/524288], [1, 1]]]], [[1, 9,
7, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x
,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/
2097152], [-11586821/4194304, -2896705/1048576], [-3, -3]]]], [[1, 9, 7, 2, 2]
, [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^
2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-\
11586821/4194304, -2896705/1048576], [-3321417/2097152, -415177/262144]]]], [[
1, 9, 7, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And
(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2
+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/2097152, 533035/2097152], [-11586821/4194304, -2896705/
1048576], [0, 0]]]], [[1, 9, 7, 2, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
533035/2097152, 533035/2097152], [-11586821/4194304, -2896705/1048576], [
415177/262144, 1660709/1048576]]]], [[1, 9, 7, 2, 5], [v < -2^(1/2), And(-(v^2
-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [-11586821/4194304, -\
2896705/1048576], [3, 3]]]], [[1, 15, 1, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [
1565147/2097152, 1565147/2097152], [-3, -3]]]], [[1, 15, 1, 3, 2], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1),
z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3, -3], [1565147/2097152, 1565147/2097152], [-787075/524288, -\
3148299/2097152]]]], [[1, 15, 1, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
-3, -3], [1565147/2097152, 1565147/2097152], [-1/4194304, -1/4194304]]]], [[1,
15, 1, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And
(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [1565147/2097152, 1565147/2097152
], [1574149/1048576, 787075/524288]]]], [[1, 15, 1, 3, 5], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), (-x-y)^(
1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3,
-3], [1565147/2097152, 1565147/2097152], [3, 3]]]], [[1, 17, 2, 2, 1], [v < -2
^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/
131072, -1565959/1048576], [0, 0], [-3, -3]]]], [[1, 17, 2, 2, 2], [v < -2^(1/
2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/
131072, -1565959/1048576], [0, 0], [-1281417/1048576, -160177/131072]]]], [[1,
17, 2, 2, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y
= 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [0, 0
], [0, 0]]]], [[1, 17, 2, 2, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [0, 0], [
160177/131072, 1281417/1048576]]]], [[1, 17, 2, 2, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [0, 0], [3, 3]]]], [[1, 20, 7, 9, 1], [v < -2^(1/2), u = (v^
2+2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [2, 2], [0, 0]]]], [[2, 1, 5, 3,
1], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-\
1/2, -1/2], [-15/4, -15/4], [-4, -4]]]], [[2, 1, 5, 3, 2], [v = -2^(1/2), u <
-2, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-\
15/4, -15/4], [-2161695/1048576, -1080847/524288]]]], [[2, 1, 5, 3, 3], [v = -
2^(1/2), u < -2, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [-1/2, -1/2], [-15/4, -15/4], [0, 0]]]], [[2, 1, 5, 3, 4], [v = -2^(1
/2), u < -2, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-\
15/4, -15/4], [1080847/524288, 2161695/1048576]]]], [[2, 1, 5, 3, 5], [v = -2^
(1/2), u < -2, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [
-15/4, -15/4], [4, 4]]]], [[2, 10, 7, 7, 1], [v = -2^(1/2), u = 0, And(0 < x,x
< 1), And(0 < y,y < 1-x), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[2, 12, 6, 2, 1], [v = -2
^(1/2), u = 1, x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [0, 0], [-2, -2], [-3, -3]]]], [[2, 12, 6, 2
, 2], [v = -2^(1/2), u = 1, x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [0, 0], [-2, -2], [-1482911/1048576,
-741455/524288]]]], [[2, 12, 6, 2, 3], [v = -2^(1/2), u = 1, x = 0, y = -2, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [0, 0], [-2, -2], [0, 0]]]], [[2, 12, 6, 2, 4], [v = -2^(1/2)
, u = 1, x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]],
[[2, 12, 6, 2, 5], [v = -2^(1/2), u = 1, x = 0, y = -2, 2^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [-2, -2],
[3, 3]]]], [[2, 16, 6, 5, 1], [v = -2^(1/2), u = 3^(1/2), x = 0, 0 < y, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187
/1048576], [0, 0], [1, 1], [0, 0]]]], [[2, 18, 4, 7, 1], [v = -2^(1/2), u = 2,
x = -1, And(1 < y,y < 2), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-1, -1], [3/2, 3/2], [0, 0]]]], [[3, 4, 7, 4, 1], [And(-2^(1
/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[3, 4, 7, 4, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z = 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[3, 4, 7, 4, 3], [And(
-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 6, 6, 5, 1], [And(
-2^(1/2) < v,v < -1), u = v, x = 1, And(-1 < y,y < 0), z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [
1, 1], [-1/2, -1/2], [0, 0]]]], [[3, 10, 7, 1, 1], [And(-2^(1/2) < v,v < -1),
u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[3, 10, 7, 1, 2], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]],
[[3, 10, 7, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x <
1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2
], [-4, -4], [0, 0]]]], [[3, 10, 7, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2
-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2
], [-4, -4], [980853/524288, 1961707/1048576]]]], [[3, 10, 7, 1, 5], [And(-2^(
1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[3, 12, 6, 2, 1], [And(-2^(
1/2) < v,v < -1), u = -v, x = 1, y = -2, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -\
2], [-2, -2]]]], [[3, 12, 6, 2, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = 1,
y = -2, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[3, 12, 6,
2, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[3, 12, 6, 2, 4], [And(-2^(1/2
) < v,v < -1), u = -v, x = 1, y = -2, z = 1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-2, -\
2], [1, 1]]]], [[3, 12, 6, 2, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y
= -2, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-2, -2], [2, 2]]]], [[3, 14, 8, 4, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [1, 1], [-1, -1], [-1, -1]]]], [[3, 14, 8, 4, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [-1, -1]
, [0, 0]]]], [[3, 14, 8, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
x = 1, y = -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [1, 1], [-1, -1], [1, 1]]]], [[3, 16, 5, 9,
1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), 1-x < y,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[4, 3, 1, 2, 1], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [0,
0], [-3, -3]]]], [[4, 3, 1, 2, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x
< -u^2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304,
-6598195/4194304], [-4, -4], [0, 0], [-2, -2]]]], [[4, 3, 1, 2, 3], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4,
-4], [0, 0], [0, 0]]]], [[4, 3, 1, 2, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/
2)), x < -u^2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-4, -4], [0, 0], [2, 2]]]], [[4, 3, 1, 2, 5], [v
= -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [0,
0], [3, 3]]]], [[4, 4, 9, 3, 1], [v = -1, u = -2^(1/2), 1 < x, And(-x-2 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [2, 2], [-3, -3], [-2, -2]]]], [[4, 4, 9, 3, 2], [v = -1, u =
-2^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-1, -1]]]], [[4
, 4, 9, 3, 3], [v = -1, u = -2^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [2, 2], [-3, -3], [0, 0]]]], [[4, 4, 9, 3, 4], [v = -1, u = -2
^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [1, 1]]]], [[4, 4,
9, 3, 5], [v = -1, u = -2^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-3,
-3], [2, 2]]]], [[4, 11, 1, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2,
And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[4, 11, 1,
5, 2], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(-u^2-x < y,y < u^2-x-2),
z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [2, 2], [-1, -1]]]], [[4, 11, 1, 5, 3], [v = -1, And(1 < u
,u < 2^(1/2)), x < -u^2, And(-u^2-x < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-3, -3], [2, 2], [0, 0]]]], [[4, 11, 1, 5, 4], [v = -1, And(1 < u,u < 2^(1
/2)), x < -u^2, And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain
, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [1, 1]]]],
[[4, 11, 1, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(-u^2-x < y,y
< u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-3, -3], [2, 2], [2, 2]]]], [[4, 12, 9, 6, 1], [v = -1, u =
2^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [2, 2], [0, 0], [0, 0]]]], [[5, 1, 4, 8, 1], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), x = -1, y = u^2-v^2, z = z], [regular_chain, [[-1/2, -\
1/2], [-3, -3], [-1, -1], [35/4, 35/4], [0, 0]]]], [[5, 3, 2, 2, 1], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151
/262144], [-2583195/1048576, -1291597/524288], [0, 0], [-3, -3]]]], [[5, 3, 2,
2, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^
2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [
-3291611/2097152, -1645805/1048576]]]], [[5, 3, 2, 2, 3], [And(-1 < v,v < 0),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v
^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [
0, 0]]]], [[5, 3, 2, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/
524288], [0, 0], [1645805/1048576, 822903/524288]]]], [[5, 3, 2, 2, 5], [And(-\
1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y =
0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [3, 3]]]], [[5, 
12, 7, 9, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), 1-x < y
, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [2, 2], [0, 0
]]]], [[6, 1, 5, 3, 1], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), And(-u^2-x-1
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2
], [-19/4, -19/4], [-4, -4]]]], [[6, 1, 5, 3, 2], [v = 0, u < -2^(1/2), And(-1
< x,x < 0), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-3, -3], [-1/2, -1/2], [-19/4, -19/4], [-1201295/524288, -2402589/1048576
]]]], [[6, 1, 5, 3, 3], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), And(-u^2-x-1
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0],
[-3, -3], [-1/2, -1/2], [-19/4, -19/4], [0, 0]]]], [[6, 1, 5, 3, 4], [v = 0, u
< -2^(1/2), And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [-19/4, -19/4], [2402589/
1048576, 1201295/524288]]]], [[6, 1, 5, 3, 5], [v = 0, u < -2^(1/2), And(-1 <
x,x < 0), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0],
[-3, -3], [-1/2, -1/2], [-19/4, -19/4], [4, 4]]]], [[6, 5, 2, 3, 1], [v = 0, 
And(-1 < u,u < 0), x = -u^2-1, And(0 < y,y < 2*u^2), z < -(u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1/4, 1/4], [-2, -2]]]], [
[6, 5, 2, 3, 2], [v = 0, And(-1 < u,u < 0), x = -u^2-1, And(0 < y,y < 2*u^2),
z = -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1
/4, 1/4], [-1, -1]]]], [[6, 5, 2, 3, 3], [v = 0, And(-1 < u,u < 0), x = -u^2-1
, And(0 < y,y < 2*u^2), And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1/4, 1/4], [0, 0]]]], [[6
, 5, 2, 3, 4], [v = 0, And(-1 < u,u < 0), x = -u^2-1, And(0 < y,y < 2*u^2), z
= (u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1/4,
1/4], [1, 1]]]], [[6, 5, 2, 3, 5], [v = 0, And(-1 < u,u < 0), x = -u^2-1, And(
0 < y,y < 2*u^2), (u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2],
[-5/4, -5/4], [1/4, 1/4], [2, 2]]]], [[6, 7, 3, 4, 1], [v = 0, And(0 < u,u < 1
), And(-u^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [
1/2, 1/2], [-9/8, -9/8], [0, 0], [-3, -3]]]], [[6, 7, 3, 4, 2], [v = 0, And(0
< u,u < 1), And(-u^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[0, 0], [1/2, 1/2], [-9/8, -9/8], [0, 0], [-1112183/1048576, -556091/524288]]]
], [[6, 7, 3, 4, 3], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-9
/8, -9/8], [0, 0], [0, 0]]]], [[6, 7, 3, 4, 4], [v = 0, And(0 < u,u < 1), And(
-u^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2
], [-9/8, -9/8], [0, 0], [556091/524288, 1112183/1048576]]]], [[6, 7, 3, 4, 5]
, [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [0, 0], [3, 3]]]], [[7, 1, 6
, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, z < -(-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-11, -11], [-5, -5]
]]], [[7, 1, 6, 1, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y < -u^2+
v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-11,
-11], [-1738867/524288, -3477733/1048576]]]], [[7, 1, 6, 1, 3], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1
/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-11, -11], [0, 0]]]], [
[7, 1, 6, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1,
z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-11, -11], [
3477733/1048576, 1738867/524288]]]], [[7, 1, 6, 1, 5], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-3, -3], [0, 0], [-11, -11], [5, 5]]]], [[7, 3, 3, 6, 1], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[-1815885/1048576, -1815885/1048576], [1815885/1048576, 1815885/1048576], [-1,
-1]]]], [[7, 3, 3, 6, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576],
[1815885/1048576, 1815885/1048576], [0, 0]]]], [[7, 3, 3, 6, 3], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[-1815885/1048576, -1815885/1048576], [1815885/1048576, 1815885/1048576], [1,
1]]]], [[7, 7, 4, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y = u^2
-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1],
[-1/4, -1/4], [-3, -3]]]], [[7, 7, 4, 2, 2], [And(0 < v,v < 1), And(-v < u,u <
v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [0, 0], [-1, -1], [-1/4, -1/4], [-146543/131072, -1172343/1048576]]]], [[7,
7, 4, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y = u^2-v^2, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [
0, 0], [-1, -1], [-1/4, -1/4], [0, 0]]]], [[7, 7, 4, 2, 4], [And(0 < v,v < 1),
And(-v < u,u < v), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-1/4, -1/4], [1172343/1048576,
146543/131072]]]], [[7, 7, 4, 2, 5], [And(0 < v,v < 1), And(-v < u,u < v), x =
-1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0],
[-1, -1], [-1/4, -1/4], [3, 3]]]], [[7, 9, 5, 1, 1], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-2, -2], [-3, -3]]]], [[7, 9, 5, 1, 2], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2, -2], [-\
1753897/1048576, -3507793/2097152]]]], [[7, 9, 5, 1, 3], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2, -2], [-1
/4194304, -1/4194304]]]], [[7, 9, 5, 1, 4], [And(0 < v,v < 1), And(v < u,u < (
v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-2, -2], [219237/131072, 1753897/1048576]]]], [[7
, 9, 5, 1, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x <
u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2,
-2], [3, 3]]]], [[7, 11, 5, 5, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [1/4
, 1/4], [-2, -2]]]], [[7, 11, 5, 5, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [
1/4, 1/4], [-1/2, -1/2]]]], [[7, 11, 5, 5, 3], [And(0 < v,v < 1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[7, 11, 5, 5, 4], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[7, 11, 5, 5, 5], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0),
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 13, 2, 4, 1]
, [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z < 0],
[regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [39/4, 39/4], [-1, -1]]]]
, [[7, 13, 2, 4, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y =
u^2-v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [39/4,
39/4], [0, 0]]]], [[7, 13, 2, 4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x =
-u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4
, -39/4], [39/4, 39/4], [1, 1]]]], [[8, 3, 6, 6, 1], [v = 1, And(-3^(1/2) < u,
u < -2^(1/2)), x = 0, y = u^2-2, z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [0, 0], [248903/524288, 497807/1048576], [0, 0]]]]
, [[8, 5, 5, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), 
And(0 < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/
2097152, 239655/2097152], [-2, -2]]]], [[8, 5, 5, 5, 2], [v = 1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), z = -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [-3400157/
4194304, -850039/1048576]]]], [[8, 5, 5, 5, 3], [v = 1, And(-2^(1/2) < u,u < -\
1), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-3235683/4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [0, 0]
]]], [[8, 5, 5, 5, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2)
, And(0 < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/2097152, 239655/2097152], [850039/1048576, 106255/131072]]]], [[8, 5, 5
, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(0 < y,y
< u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/2097152, 
239655/2097152], [2, 2]]]], [[8, 11, 7, 4, 1], [v = 1, And(1 < u,u < 2^(1/2)),
And(u^2-2 < x,x < 0), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-\
284633/1048576, -35579/131072], [-2, -2]]]], [[8, 11, 7, 4, 2], [v = 1, And(1
< u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [-284633/1048576, -35579/131072], [-772605/1048576, -1545209
/2097152]]]], [[8, 11, 7, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x
,x < 0), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [-284633/1048576, -35579/131072], [-1/4194304, -1/4194304]]]
], [[8, 11, 7, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y
= u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579
/131072], [193151/262144, 772605/1048576]]]], [[8, 11, 7, 4, 5], [v = 1, And(1
< u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [-284633/1048576, -35579/131072], [2, 2]]]], [[8, 13, 6, 1,
1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y < -u^2, z < -(-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [-4, -4],
[-3, -3]]]], [[8, 13, 6, 1, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y
< -u^2, z = -(-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [0, 0], [-4, -4], [-2, -2]]]], [[8, 13, 6, 1, 3], [v = 1, And(2^(1/2
) < u,u < 3^(1/2)), x = 0, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [-4, -4],
[0, 0]]]], [[8, 13, 6, 1, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y <
-u^2, z = (-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [0, 0], [-4, -4], [2, 2]]]], [[8, 13, 6, 1, 5], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), x = 0, y < -u^2, (-y)^(1/2) < z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [0, 0], [-4, -4], [3, 3]]]], [[9, 1, 10, 3,
1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v
^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-\
45358631/4194304, -45358631/4194304], [-4, -4]]]], [[9, 1, 10, 3, 2], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u
^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-45358631/
4194304, -45358631/4194304], [-2167143/1048576, -1083571/524288]]]], [[9, 1, 
10, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [-45358631/4194304, -45358631/4194304], [0,
0]]]], [[9, 1, 10, 3, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2
-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [-45358631/4194304, -45358631/4194304], [1083571/524288, 
2167143/1048576]]]], [[9, 1, 10, 3, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^
(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [-45358631/4194304, -45358631/4194304], [4,
4]]]], [[9, 3, 7, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/2097152, 501965/2097152], [-250983/1048576, -125491/524288], [-1, -1]]]
], [[9, 3, 7, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/2097152, 501965/2097152], [-250983/1048576, -125491/524288], [0, 0]]]],
[[9, 3, 7, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
2097152, 501965/2097152], [-250983/1048576, -125491/524288], [1, 1]]]], [[9, 
13, 6, 6, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v
^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/
262144], [139585/262144, 558341/1048576], [-1, -1]]]], [[9, 13, 6, 6, 2], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2
+1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [139585/262144,
558341/1048576], [0, 0]]]], [[9, 13, 6, 6, 3], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [139585/262144, 558341/1048576], [1, 1]]]],
[[9, 15, 5, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 15, 5, 5, 2], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And
(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1
/2]]]], [[9, 15, 5, 5, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327
/524288, 898327/524288], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 15, 5, 5, 4
], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [1/4,
1/4], [1/2, 1/2]]]], [[9, 15, 5, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 1, 9, 7, 1], [v = 2
^(1/2), u < -2, And(1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [5/4,
5/4], [0, 0]]]], [[10, 3, 6, 6, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x
= 0, y = u^2-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [0, 0], [505467/1048576, 126367/262144], [
0, 0]]]], [[10, 9, 6, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, -u^2+1 <
y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0
, 0], [2, 2], [0, 0]]]], [[10, 11, 3, 8, 1], [v = 2^(1/2), And(0 < u,u < 1), 
And(u^2-3 < x,x < -1), y = -u^2-x+1, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [21/8, 21/8], [0, 0]]]], [[10, 
15, 4, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = u^2-2, z < -(-
u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [497805/1048576, 248903/524288], [-2, -2]
]]], [[10, 15, 4, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = u^2
-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-1, -1], [497805/1048576, 248903/524288],
[-1519901/2097152, -379975/524288]]]], [[10, 15, 4, 6, 3], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x = -1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-1, -1], [497805/1048576, 248903/524288], [0, 0]]]], [[10,
15, 4, 6, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = u^2-2, z = (-u
^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [497805/1048576, 248903/524288], [379975/
524288, 759951/1048576]]]], [[10, 15, 4, 6, 5], [v = 2^(1/2), And(v < u,u < 3^
(1/2)), x = -1, y = u^2-2, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [
497805/1048576, 248903/524288], [2, 2]]]], [[10, 17, 3, 5, 1], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 
1825597/2097152], [-2, -2]]]], [[10, 17, 3, 5, 2], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 1825597/
2097152], [-7826679/8388608, -3913339/4194304]]]], [[10, 17, 3, 5, 3], [v = 2^
(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [1825597/2097152, 1825597/2097152], [-3/8388608, -3/8388608]]]], [[
10, 17, 3, 5, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1)
, And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [1825597/2097152, 1825597/2097152], [489167/524288, 978335/
1048576]]]], [[10, 17, 3, 5, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^
2+1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195
/2097152, -3651195/2097152], [1825597/2097152, 1825597/2097152], [2, 2]]]], [[
10, 19, 2, 2, 1], [v = 2^(1/2), 2 < u, x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [0, 0], [
-4, -4]]]], [[10, 19, 2, 2, 2], [v = 2^(1/2), 2 < u, x = -u^2+1, y = 0, z = -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8,
-8], [0, 0], [-2965821/1048576, -11863283/4194304]]]], [[10, 19, 2, 2, 3], [v
= 2^(1/2), 2 < u, x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [0, 0]
, [-3/8388608, -3/8388608]]]], [[10, 19, 2, 2, 4], [v = 2^(1/2), 2 < u, x = -u
^2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-8, -8], [0, 0], [741455/262144, 2965821/1048576]]]], [[10,
19, 2, 2, 5], [v = 2^(1/2), 2 < u, x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [0, 0], [4
, 4]]]], [[11, 1, 8, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, y < -u^2+
v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-19, -\
19], [-6, -6]]]], [[11, 1, 8, 1, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1,
y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1],
[-19, -19], [-1112183/262144, -4448731/1048576]]]], [[11, 1, 8, 1, 3], [2^(1/2
) < v, u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-
y-1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-19, -19], [0, 0]]]]
, [[11, 1, 8, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2,
z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-19, -19], [
4448731/1048576, 1112183/262144]]]], [[11, 1, 8, 1, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[3, 3],
[-5, -5], [1, 1], [-19, -19], [6, 6]]]], [[11, 5, 5, 5, 1], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x
-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1579769/2097152, -1579769/2097152], [258691/2097152, 258691/2097152
], [-2, -2]]]], [[11, 5, 5, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v
), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [258691/2097152, 258691/2097152], [-3328965/4194304, -\
832241/1048576]]]], [[11, 5, 5, 5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1579769/2097152, -1579769/2097152], [258691/2097152, 258691/2097152
], [0, 0]]]], [[11, 5, 5, 5, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [258691/2097152, 258691/2097152], [832241/1048576, 416121/
524288]]]], [[11, 5, 5, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 
And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [258691/2097152, 258691/2097152], [2, 2]]]], [[11, 7, 5, 9,
1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1),
-x < y, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [2, 2], [0, 0]]]], [[11, 12, 9, 5, 1], [2^(1
/2) < v, u = (v^2-2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain
, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [-3/2, -3/2], [0, 0]]]], [[
11, 14, 7, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), 0 < y, z
= z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [
1, 1], [0, 0]]]], [[11, 18, 9, 2, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x,
y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [2, 2], [-4, -4], [-3, -3]]]], [[11, 18, 9, 2, 2], [2^(1/2) < v, u =
(v^2+1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [2, 2], [-4, -4], [-1482911/1048576, -741455/
524288]]]], [[11, 18, 9, 2, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y = -x
-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [2, 2], [-4, -4], [0, 0]]]], [[11, 18, 9, 2, 4], [2^(1/2) <
v, u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3],
[207243/65536, 3315889/1048576], [2, 2], [-4, -4], [741455/524288, 1482911/
1048576]]]], [[11, 18, 9, 2, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y = -
x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
2, 2], [-4, -4], [3, 3]]]], [[11, 20, 6, 1, 1], [2^(1/2) < v, u = (v^2+2)^(1/2
), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [0, 0], [-4, -4], [-3, -3]]]], [[11, 20, 6, 1, 2], [2^(1/2) <
v, u = (v^2+2)^(1/2), x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [0, 0], [-4, -4], [-2, -2]]]], [[11, 20,
6, 1, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, y < -3, And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[0, 0], [-4, -4], [0, 0]]]], [[11, 20, 6, 1, 4], [2^(1/2) < v, u = (v^2+2)^(1/
2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [0, 0], [-4, -4], [2, 2]]]], [[11, 20, 6, 1, 5], [2^(1/2) < v
, u = (v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [0, 0], [-4, -4], [3, 3]]]], [[1, 5, 5, 7,
1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), 
And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/
2], [-2, -2]]]], [[1, 5, 5, 7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v
), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [1/2, 1/2], [-1055459/2097152, -527729/1048576]]]], [[1,
5, 5, 7, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-
v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [1/2, 1/2], [0, 0]]]], [[1, 5, 5, 7, 4], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/2], [527729/
1048576, 263865/524288]]]], [[1, 5, 5, 7, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2
) < u,u < v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1579769/2097152, -1579769/2097152], [1/2, 1/2], [2, 2]]]], [[1, 7, 6, 6, 1], [
v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z
< 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [516571/1048576, 129143/262144], [-1, -1]]]],
[[1, 7, 6, 6, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1
, y = u^2-v^2+1, z = 0], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [516571/1048576, 129143/
262144], [0, 0]]]], [[1, 7, 6, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [516571
/1048576, 129143/262144], [1, 1]]]], [[1, 11, 3, 6, 1], [v < -2^(1/2), And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0],
[regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [11/2, 11/2], [-1, -1]]]],
[[1, 11, 3, 6, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [0, 0],
[-11/2, -11/2], [11/2, 11/2], [0, 0]]]], [[1, 11, 3, 6, 3], [v < -2^(1/2), And
(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 <
z], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [11/2, 11/2], [1, 1]]]]
, [[1, 12, 9, 9, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [1, 1], [0, 0
]]]], [[1, 18, 9, 4, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, y = -x, z <
0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-2, -\
2], [-1, -1]]]], [[1, 18, 9, 4, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, y
= -x, z = 0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2,
2], [-2, -2], [0, 0]]]], [[1, 18, 9, 4, 3], [v < -2^(1/2), u = (v^2+1)^(1/2),
1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [2, 2], [-2, -2], [1, 1]]]], [[1, 20, 6, 7, 1], [v < -2^(1/2), u = (
v^2+2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [0, 0], [2, 2], [0, 0]]]], [[2, 3, 1, 7, 1], [v = -2
^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-x < y,y < u^2-x-3), z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [8894075/2097152, 8894075/2097152], [0, 0]]]], [[2
, 5, 1, 1, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y < 0, z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195
/4194304, -6598195/4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[2, 5, 1, 1, 2]
, [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y < 0, z = -(-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [-1, -1], [-2, -2]]]], [[2, 5, 1, 1, 3], [v = -2^(
1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [-1, -1], [0, 0]]]], [[2, 5, 1, 1, 4], [
v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [-1, -1], [2, 2]]]], [[2, 5, 1, 1, 5], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x < -u^2+1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [-1, -1], [3, 3]]]], [[2, 7, 3, 2, 1], [v = -2^(1/
2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -\
35579/131072], [-3, -3]]]], [[2, 7, 3, 2, 2], [v = -2^(1/2), And(v < u,u < -1)
, And(u^2-3 < x,x < -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/131072], [-\
1302471/1048576, -651235/524288]]]], [[2, 7, 3, 2, 3], [v = -2^(1/2), And(v <
u,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u
^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-284633/
1048576, -35579/131072], [0, 0]]]], [[2, 7, 3, 2, 4], [v = -2^(1/2), And(v < u
,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -\
35579/131072], [651235/524288, 1302471/1048576]]]], [[2, 7, 3, 2, 5], [v = -2^
(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = u^2-x-3, (-u^2+3)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -\
35579/131072], [3, 3]]]], [[2, 9, 2, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0),
x = u^2-3, And(0 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/4], [11/8, 11/8],
[-3, -3]]]], [[2, 9, 2, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = u^2-3, 
And(0 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/4], [11/8, 11/8], [-\
1229565/1048576, -307391/262144]]]], [[2, 9, 2, 3, 3], [v = -2^(1/2), And(-1 <
u,u < 0), x = u^2-3, And(0 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^
2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1
/2], [-11/4, -11/4], [11/8, 11/8], [0, 0]]]], [[2, 9, 2, 3, 4], [v = -2^(1/2),
And(-1 < u,u < 0), x = u^2-3, And(0 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/
4], [11/8, 11/8], [307391/262144, 1229565/1048576]]]], [[2, 9, 2, 3, 5], [v =
-2^(1/2), And(-1 < u,u < 0), x = u^2-3, And(0 < y,y < -u^2+3), (-u^2-y+3)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
11/4, -11/4], [11/8, 11/8], [3, 3]]]], [[2, 12, 7, 6, 1], [v = -2^(1/2), u = 1
, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [1, 1], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 14, 6, 7, 1], [v = -2^(1
/2), u = -v, x = 1, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0]]]], [[3, 1,
3, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-15818595/8388608, -15818595/8388608], [-4, -4]]]], [[3, 1, 3, 3, 2
], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[-15818595/8388608, -15818595/8388608], [-2705483/1048576, -5410965/2097152]]]
], [[3, 1, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v
^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/8388608],
[-1/4194304, -1/4194304]]]], [[3, 1, 3, 3, 4], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[-10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/8388608]
, [1352741/524288, 2705483/1048576]]]], [[3, 1, 3, 3, 5], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3, -3], [-10006449/2097152, -10006449/2097152], [-15818595/8388608, -\
15818595/8388608], [4, 4]]]], [[3, 2, 9, 6, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-1, -1], [0,
0]]]], [[3, 6, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = v, 1 < x, 0 < y, z = z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[3, 8, 9, 1, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-5, -5], [-3, -3]]]], [[3, 8, 9, 1, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[3
, 8, 9, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y < -x-2,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-5, -5], [-1/
4194304, -1/4194304]]]], [[3, 8, 9, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-5, -\
5], [908093/524288, 1816187/1048576]]]], [[3, 8, 9, 1, 5], [And(-2^(1/2) < v,v
< -1), u = -(v^2-1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2,
2], [-5, -5], [3, 3]]]], [[4, 1, 2, 4, 1], [v = -1, u < -3^(1/2), x = -u^2, y
= u^2, z < 0], [regular_chain, [[-1, -1], [-3, -3], [-9, -9], [9, 9], [-1, -1]
]]], [[4, 1, 2, 4, 2], [v = -1, u < -3^(1/2), x = -u^2, y = u^2, z = 0], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [9, 9], [0, 0]]]], [[4, 1, 2, 4,
3], [v = -1, u < -3^(1/2), x = -u^2, y = u^2, 0 < z], [regular_chain, [[-1, -1
], [-3, -3], [-9, -9], [9, 9], [1, 1]]]], [[4, 2, 8, 7, 1], [v = -1, u = -3^(1
/2), x = 1, 0 < y, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [1, 1], [0, 0]]]], [[4, 6, 7, 3, 1], [v = -1, u = -1
, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1, -1], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[4, 6, 7, 3, 2], [v = -1, u = -1
, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1, -1], [2, 2], [-5/2, -5/2], [-1482911/2097152, -741455/1048576]]]], [[4, 6
, 7, 3, 3], [v = -1, u = -1, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-5/2, -5/2
], [0, 0]]]], [[4, 6, 7, 3, 4], [v = -1, u = -1, 1 < x, And(-1-x < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-5/2, -5/2],
[741455/1048576, 46341/65536]]]], [[4, 6, 7, 3, 5], [v = -1, u = -1, 1 < x, 
And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1],
[2, 2], [-5/2, -5/2], [2, 2]]]], [[4, 8, 8, 4, 1], [v = -1, u = 0, x = 1, y =
-1, z < 0], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-1, -1], [-1, -1]]]],
[[4, 8, 8, 4, 2], [v = -1, u = 0, x = 1, y = -1, z = 0], [regular_chain, [[-1,
-1], [0, 0], [1, 1], [-1, -1], [0, 0]]]], [[4, 8, 8, 4, 3], [v = -1, u = 0, x
= 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-1, -1], [1,
1]]]], [[4, 14, 6, 1, 1], [v = -1, u = 3^(1/2), x = 0, y < -3, z < -(-y)^(1/2)
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [-4, -\
4], [-3, -3]]]], [[4, 14, 6, 1, 2], [v = -1, u = 3^(1/2), x = 0, y < -3, z = -
(-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0,
0], [-4, -4], [-2, -2]]]], [[4, 14, 6, 1, 3], [v = -1, u = 3^(1/2), x = 0, y <
-3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [0, 0], [-4, -4], [0, 0]]]], [[4, 14, 6, 1, 4], [v =
-1, u = 3^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [0, 0], [-4, -4], [2, 2]]]], [[4, 14, 6, 1, 5
], [v = -1, u = 3^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [0, 0], [-4, -4], [3, 3]]]], [[5, 1, 3,
6, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y =
-x, z < 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [43/8, 43
/8], [-1, -1]]]], [[5, 1, 3, 6, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-3
, -3], [-43/8, -43/8], [43/8, 43/8], [0, 0]]]], [[5, 1, 3, 6, 3], [And(-1 < v,
v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [43/8, 43/8], [1, 1]]]
], [[5, 4, 9, 4, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, y = -x, z
< 0], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2
], [-2, -2], [-1, -1]]]], [[5, 4, 9, 4, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(
1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [2, 2], [-2, -2], [0, 0]]]], [[5, 4, 9, 4, 3], [And(-1 < v,v
< 0), u = -(v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2]
, [-146543/131072, -1172343/1048576], [2, 2], [-2, -2], [1, 1]]]], [[5, 7, 1,
5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0]
, [-3, -3], [2, 2], [-2, -2]]]], [[5, 7, 1, 5, 2], [And(-1 < v,v < 0), And(v <
u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [2, 2], [-1, -1]]]], [
[5, 7, 1, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(u^2
-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [2, 2], [0, 0]]]], [[5, 7, 1,
5, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-3, -3], [2, 2], [1, 1]]]], [[5, 7, 1, 5, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [2, 2], [2, 2]]]], [[5, 9,
3, 4, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [-3,
-3]]]], [[5, 9, 3, 4, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152]
, [0, 0], [-143717/131072, -1149735/1048576]]]], [[5, 9, 3, 4, 3], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And
(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [0, 0
]]]], [[5, 9, 3, 4, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [0
, 0], [1149735/1048576, 143717/131072]]]], [[5, 9, 3, 4, 5], [And(-1 < v,v < 0
), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [0, 0], [3, 3]]]], [[5, 11, 2, 5, 1], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(
u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[-1/2, -1/2], [343151
/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [5652431/2097152
, 5652431/2097152], [0, 0]]]], [[6, 1, 6, 5, 1], [v = 0, u < -2^(1/2), x = 0,
And(0 < y,y < u^2-1), z = z], [regular_chain, [[0, 0], [-3, -3], [0, 0], [4, 4
], [0, 0]]]], [[6, 3, 4, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y <
-u^2, z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[6, 3, 4, 1, 2], [v = 0, And(-2^(1
/2) < u,u < -1), x = -1, y < -u^2, z = -(1-y)^(1/2)], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[6, 3,
4, 1, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y < -u^2, And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-3, -3], [0, 0]]]], [[6, 3, 4, 1, 4], [v = 0, And(-2^(1/2
) < u,u < -1), x = -1, y < -u^2, z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[6, 3, 4,
1, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y < -u^2, (1-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [-3, -\
3], [3, 3]]]], [[6, 9, 3, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 <
x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576], [
1812519/2097152, 1812519/2097152], [-2, -2]]]], [[6, 9, 3, 5, 2], [v = 0, And(
1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/
1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [-7798593/
8388608, -121853/131072]]]], [[6, 9, 3, 5, 3], [v = 0, And(1 < u,u < 2^(1/2)),
And(-u^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/
1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [0, 0]]]], [[6
, 9, 3, 5, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1812519/1048576, -1812519/1048576], [1812519/2097152, 
1812519/2097152], [121853/131072, 974825/1048576]]]], [[6, 9, 3, 5, 5], [v = 0
, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
1812519/1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [2, 2]
]]], [[6, 10, 9, 8, 1], [v = 0, u = 2^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [0, 0], [0,
0]]]], [[7, 3, 4, 8, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1, -1], [767309/524288, 1534619/1048576], [0, 0]]]]
, [[7, 5, 4, 2, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1,
y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576], [-3,
-3]]]], [[7, 5, 4, 2, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x
= -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576
], [-19417/16384, -1242687/1048576]]]], [[7, 5, 4, 2, 3], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576], [0, 0]]]], [[7,
5, 4, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = -u
^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152
, -1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576], [1242687/
1048576, 19417/16384]]]], [[7, 5, 4, 2, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1
/2) < u,u < -v), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-212079/524288,
-424157/1048576], [3, 3]]]], [[8, 1, 8, 3, 1], [v = 1, u < -3^(1/2), x = 1, 
And(-u^2-1 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-3, -3],
[1, 1], [-11/2, -11/2], [-4, -4]]]], [[8, 1, 8, 3, 2], [v = 1, u < -3^(1/2), x
= 1, And(-u^2-1 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-3,
-3], [1, 1], [-11/2, -11/2], [-1112183/524288, -2224365/1048576]]]], [[8, 1, 8
, 3, 3], [v = 1, u < -3^(1/2), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2
) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-11/2, -\
11/2], [0, 0]]]], [[8, 1, 8, 3, 4], [v = 1, u < -3^(1/2), x = 1, And(-u^2-1 <
y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-11/
2, -11/2], [2224365/1048576, 1112183/524288]]]], [[8, 1, 8, 3, 5], [v = 1, u <
-3^(1/2), x = 1, And(-u^2-1 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[
1, 1], [-3, -3], [1, 1], [-11/2, -11/2], [4, 4]]]], [[8, 3, 5, 2, 1], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = -u^2-x, z < u], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-\
66261453/33554432, -16565363/8388608], [-3, -3]]]], [[8, 3, 5, 2, 2], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-\
66261453/33554432, -16565363/8388608], [-1649549/1048576, -3299097/2097152]]]]
, [[8, 3, 5, 2, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0),
y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [-66261453/33554432, -16565363/8388608], [-1/
4194304, -1/4194304]]]], [[8, 3, 5, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/
2)), And(-1 < x,x < 0), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-66261453/33554432, -\
16565363/8388608], [412387/262144, 1649549/1048576]]]], [[8, 3, 5, 2, 5], [v =
1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-\
66261453/33554432, -16565363/8388608], [3, 3]]]], [[8, 7, 5, 9, 1], [v = 1, 
And(-1 < u,u < 0), And(-1 < x,x < -u^2), -x < y, z = z], [regular_chain, [[1,
1], [-1/2, -1/2], [-5/8, -5/8], [2, 2], [0, 0]]]], [[8, 9, 4, 8, 1], [v = 1, 
And(0 < u,u < 1), x = -1, y = 1, z < 0], [regular_chain, [[1, 1], [1/2, 1/2],
[-1, -1], [1, 1], [-1, -1]]]], [[8, 9, 4, 8, 2], [v = 1, And(0 < u,u < 1), x =
-1, y = 1, z = 0], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [1, 1], [0,
0]]]], [[8, 9, 4, 8, 3], [v = 1, And(0 < u,u < 1), x = -1, y = 1, 0 < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [1, 1], [1, 1]]]], [[8, 15, 3, 2
, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, z < -u], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [-4, -4], [-4, -4]]]], [[8, 15, 3, 2
, 2], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [-4, -4], [-3, -3]]]], [[8, 15, 3, 2
, 3], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, And(-u < z,z < u)
], [regular_chain, [[1, 1], [3, 3], [-5, -5], [-4, -4], [0, 0]]]], [[8, 15, 3,
2, 4], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [-4, -4], [3, 3]]]], [[8, 15, 3, 2,
5], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y = -u^2-x, u < z], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [-4, -4], [4, 4]]]], [[9, 1, 8, 8, 1
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y = u^2-v^2-2, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [
5812145/1048576, 2906073/524288], [0, 0]]]], [[9, 5, 6, 1, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z <
-(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-2,
-2], [-3, -3]]]], [[9, 5, 6, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2
) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1116679/2097152, -558339/1048576], [-2, -2], [-3337355/
2097152, -1668677/1048576]]]], [[9, 5, 6, 1, 3], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+
1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -\
558339/1048576], [-2, -2], [0, 0]]]], [[9, 5, 6, 1, 4], [And(1 < v,v < 2^(1/2)
), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+
v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-2,
-2], [1668677/1048576, 834339/524288]]]], [[9, 5, 6, 1, 5], [And(1 < v,v < 2^(
1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+
v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-2,
-2], [3, 3]]]], [[9, 7, 6, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^
2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [225185/1048576, 225185/
1048576], [-2, -2]]]], [[9, 7, 6, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [225185/1048576
, 225185/1048576], [-485927/1048576, -242963/524288]]]], [[9, 7, 6, 5, 3], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [225185/1048576, 225185/
1048576], [0, 0]]]], [[9, 7, 6, 5, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-450371/1048576, -225185/524288], [225185/1048576, 225185/
1048576], [242963/524288, 485927/1048576]]]], [[9, 7, 6, 5, 5], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^
2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [225185/1048576, 225185/1048576], [2, 2]]]], [[9, 9, 7, 5, 1], [And(1
< v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^
2+v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-239655/2097152,
-239655/2097152], [0, 0]]]], [[9, 11, 6, 2, 1], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-112593/262144, -450371/1048576], [-598205/524288, -1196409/
1048576], [-3, -3]]]], [[9, 11, 6, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)
^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-598205/524288, -1196409/1048576
], [-1314069/1048576, -328517/262144]]]], [[9, 11, 6, 2, 3], [And(1 < v,v < 2^
(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144,
-450371/1048576], [-598205/524288, -1196409/1048576], [0, 0]]]], [[9, 11, 6, 2
, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y
= 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [-598205/524288, -1196409/1048576], [328517/262144, 1314069/1048576]
]]], [[9, 11, 6, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/
262144, -450371/1048576], [-598205/524288, -1196409/1048576], [3, 3]]]], [[9,
15, 7, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-712525/262144, -5700199/2097152],
[-3, -3]]]], [[9, 15, 7, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [501965/2097152, 501965/2097152], [-712525/262144, -\
5700199/2097152], [-3301741/2097152, -825435/524288]]]], [[9, 15, 7, 2, 3], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x
< u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [501965/2097152, 501965/2097152], [-712525/262144, -5700199/
2097152], [0, 0]]]], [[9, 15, 7, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [-712525/
262144, -5700199/2097152], [825435/524288, 1650871/1048576]]]], [[9, 15, 7, 2,
5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [-712525/262144, -5700199/2097152], [3, 3]]]], [[9,
17, 4, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2
, z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [-1, -1], [-9, -9], [-5, -5]]]], [[9, 17, 4, 1, 2], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-9, -9], [-3315889/
1048576, -207243/65536]]]], [[9, 17, 4, 1, 3], [And(1 < v,v < 2^(1/2)), (v^2+2
)^(1/2) < u, x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-9, -9]
, [0, 0]]]], [[9, 17, 4, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [-9, -9], [207243/65536, 3315889/1048576]]
]], [[9, 17, 4, 1, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y <
-u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [-1, -1], [-9, -9], [5, 5]]]], [[10, 5, 7, 6, 1], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1101539/4194304, -1101539/4194304], [0, 0], [-2, -2]]]], [[10, 5,
7, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195
/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [0, 0], [-\
268683/524288, -1074731/2097152]]]], [[10, 5, 7, 6, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [0, 0], [-1/4194304, -\
1/4194304]]]], [[10, 5, 7, 6, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(
u^2-3 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [0, 0], [537365/1048576, 268683/524288]]]], [[10, 5, 7, 6, 5
], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = 0, (-x)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [0, 0], [2,
2]]]], [[10, 7, 8, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y < u^2-3,
z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743
/1048576, -1265743/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[10, 7, 8, 1, 2],
[v = 2^(1/2), And(-v < u,u < -1), x = 0, y < u^2-3, z = -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 7,
8, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y < u^2-3, And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]
]]], [[10, 7, 8, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y < u^2-3, z
= (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]
]]], [[10, 7, 8, 1, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y < u^2-3, (-
y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-3, -3], [3, 3]]]], [[10, 11, 5, 3, 1], [
v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[-1/2, -1/2], [-9/8, -9/8], [-3, -3]]]], [[10, 11, 5, 3, 2], [v = 2^(1/2), And
(0 < u,u < 1), And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [
-9/8, -9/8], [-668339/524288, -1336677/1048576]]]], [[10, 11, 5, 3, 3], [v = 2
^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/2, -1/2], [-9/8, -9/8], [0, 0]]]], [[10, 11, 5, 3, 4
], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/
2], [-1/2, -1/2], [-9/8, -9/8], [1336677/1048576, 668339/524288]]]], [[10, 11,
5, 3, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(u^2-x-3 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1
/2, 1/2], [-1/2, -1/2], [-9/8, -9/8], [3, 3]]]], [[10, 13, 4, 2, 1], [v = 2^(1
/2), And(1 < u,u < v), x = -1, y = u^2-2, z < -(-u^2+3)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1,
-1], [-1138531/2097152, -569265/1048576], [-3, -3]]]], [[10, 13, 4, 2, 2], [v
= 2^(1/2), And(1 < u,u < v), x = -1, y = u^2-2, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [-1302471/1048576, -\
651235/524288]]]], [[10, 13, 4, 2, 3], [v = 2^(1/2), And(1 < u,u < v), x = -1,
y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1],
[-1138531/2097152, -569265/1048576], [0, 0]]]], [[10, 13, 4, 2, 4], [v = 2^(1/
2), And(1 < u,u < v), x = -1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [-1138531/2097152, -569265/1048576], [651235/524288, 1302471/1048576]]]], [
[10, 13, 4, 2, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, y = u^2-2, (-u^2+3)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [3,
3]]]], [[11, 3, 4, 9, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = -1, u^2-v^2 < y, z = z], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-1, -1], [3, 3], [0, 0]]]], [[11, 5, 3, 8, 1], [2^(1/2) <
v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [1307267/1048576, 326817/262144], [-1, -1]]]], [[11, 5, 3,
8, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1
), y = -x, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-2614535/2097152, -2614535/2097152], [1307267/1048576, 326817/262144], [0, 0]
]]], [[11, 5, 3, 8, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2
+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-2614535/2097152, -2614535/2097152], [1307267/1048576, 
326817/262144], [1, 1]]]], [[11, 9, 4, 8, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), x = -1, y = -u^2+v^2, z = z], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [-1, -1], [1581611/1048576, 395403/
262144], [0, 0]]]], [[11, 11, 1, 7, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x < u^2-v^2-1, And(-x < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [15, 15], [0, 0]]]], [[11, 16, 6,
4, 1], [2^(1/2) < v, u = v, x = 1, y = -1, z < 0], [regular_chain, [[3, 3], [3
, 3], [1, 1], [-1, -1], [-1, -1]]]], [[11, 16, 6, 4, 2], [2^(1/2) < v, u = v,
x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [3, 3], [1, 1], [-1, -1], [0,
0]]]], [[11, 16, 6, 4, 3], [2^(1/2) < v, u = v, x = 1, y = -1, 0 < z], [
regular_chain, [[3, 3], [3, 3], [1, 1], [-1, -1], [1, 1]]]], [[11, 18, 7, 1, 1
], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-\
4, -4], [-3, -3]]]], [[11, 18, 7, 1, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(
0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[11, 18, 7, 1, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x <
1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3
], [207243/65536, 3315889/1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[11, 18,
7, 1, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x
-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/
2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[11, 18, 7, 1, 5], [2^(1/2
) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-4, -4],
[3, 3]]]], [[1, 1, 9, 8, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [-5, -5], [8,
8], [7, 7], [0, 0]]]], [[1, 3, 7, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain
, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/
524288], [-129511/524288, -129511/524288], [-1, -1]]]], [[1, 3, 7, 4, 2], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, y = -x, z = 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [129511/524288, 129511/524288], [-129511/524288, -129511/524288], [0
, 0]]]], [[1, 3, 7, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-3, -3], [
-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-129511/
524288, -129511/524288], [1, 1]]]], [[1, 7, 7, 9, 1], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [2, 2], [0, 0]]]], [[1, 9, 7, 3, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2
-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-\
3163223/2097152, -3163223/2097152], [-3, -3]]]], [[1, 9, 7, 3, 2], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And
(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-\
3163223/2097152, -3163223/2097152], [-1174299/1048576, -587149/524288]]]], [[1
, 9, 7, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(
0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/2097152, 533035/2097152], [-3163223/2097152, -3163223/
2097152], [0, 0]]]], [[1, 9, 7, 3, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/2097152, 533035/2097152], [-3163223/2097152, -3163223/
2097152], [587149/524288, 1174299/1048576]]]], [[1, 9, 7, 3, 5], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u
^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-\
3163223/2097152, -3163223/2097152], [3, 3]]]], [[1, 15, 1, 2, 1], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [0, 0]
, [-3, -3]]]], [[1, 15, 1, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[1, 15, 1, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [0, 0], [-1/4194304, -1
/4194304]]]], [[1, 15, 1, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]
]], [[1, 15, 1, 2, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v
^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3, -3], [0, 0], [3, 3]]]], [[1, 17, 2, 1, 1], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1
/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/
131072, -1565959/1048576], [-1, -1], [-3, -3]]]], [[1, 17, 2, 1, 2], [v < -2^(
1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)
^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/
131072, -1565959/1048576], [-1, -1], [-3311519/2097152, -1655759/1048576]]]],
[[1, 17, 2, 1, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-\
1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [-1, -1], [0, 0]]]], [[1, 17, 2, 1, 4], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [-1, -1], [1655759/1048576, 103485/65536]]]], [[1, 17, 2, 1,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-
v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [-195745/131072, -1565959/1048576], [-1, -1], [3, 3]]]], [[1, 20, 8, 1, 1],
[v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [-5, -5],
[-3, -3]]]], [[1, 20, 8, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y < -\
4, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [1, 1], [-5, -5], [-2, -2]]]], [[1, 20, 8, 1, 3], [v < -2^(1/2), u =
(v^2+2)^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [-5, -5],
[0, 0]]]], [[1, 20, 8, 1, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y < -4,
z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [1, 1], [-5, -5], [2, 2]]]], [[1, 20, 8, 1, 5], [v < -2^(1/2), u = (v^2+2)^
(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1, 1], [-5, -5], [3, 3]]]], [[2, 1, 5, 4, 1], [v =
-2^(1/2), u < -2, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]
]], [[2, 1, 5, 4, 2], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/
2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 1, 5, 4, 3], [v
= -2^(1/2), u < -2, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1
/2], [0, 0], [0, 0]]]], [[2, 1, 5, 4, 4], [v = -2^(1/2), u < -2, And(-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[2
, 1, 5, 4, 5], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2]
, [0, 0], [2, 2]]]], [[2, 10, 7, 6, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1)
, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0],
[1/2, 1/2], [0, 0], [0, 0]]]], [[2, 12, 6, 1, 1], [v = -2^(1/2), u = 1, x = 0,
y < -2, z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1, 1], [0, 0], [-3, -3], [-3, -3]]]], [[2, 12, 6, 1, 2], [v = -2^(1/2), u = 1
, x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1, 1], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [
[2, 12, 6, 1, 3], [v = -2^(1/2), u = 1, x = 0, y < -2, And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0,
0], [-3, -3], [-1/4194304, -1/4194304]]]], [[2, 12, 6, 1, 4], [v = -2^(1/2), u
= 1, x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]],
[[2, 12, 6, 1, 5], [v = -2^(1/2), u = 1, x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [0, 0], [-3, -3],
[3, 3]]]], [[2, 16, 7, 1, 1], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y
< -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [908093/524288, 1816187/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[2, 
16, 7, 1, 2], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[2, 16, 7, 1, 3], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y
< -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-4, -\
4], [0, 0]]]], [[2, 16, 7, 1, 4], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1)
, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-4, -4], [980853/
524288, 1961707/1048576]]]], [[2, 16, 7, 1, 5], [v = -2^(1/2), u = 3^(1/2), 
And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-4, -\
4], [3, 3]]]], [[2, 18, 4, 8, 1], [v = -2^(1/2), u = 2, x = -1, y = 2, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [2, 2],
[0, 0]]]], [[3, 4, 7, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 
And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1/2,
1/2], [-3/2, -3/2], [-2, -2]]]], [[3, 4, 7, 3, 2], [And(-2^(1/2) < v,v < -1),
u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[3, 4, 7, 3, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-\
3/2, -3/2], [0, 0]]]], [[3, 4, 7, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+
1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[3, 4, 7, 3, 5], [And(
-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-410915/262144, -3287319/2097152], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[3,
6, 6, 4, 1], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y = -1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[3, 6, 6, 4, 2], [And(-2^(1/
2) < v,v < -1), u = v, x = 1, y = -1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-1,
-1], [0, 0]]]], [[3, 6, 6, 4, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y =
-1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [-1, -1], [1, 1]]]], [[3, 10, 7, 2, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -
2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[3, 10, 7, 2,
2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2,
z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/
524288]]]], [[3, 10, 7, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 
And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/
2], [-5/2, -5/2], [0, 0]]]], [[3, 10, 7, 2, 4], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2
], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[3, 10, 7, 2, 5], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[3, 12, 6, 3, 1], [And(
-2^(1/2) < v,v < -1), u = -v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[3, 12, 6, 3, 2], [And(-
2^(1/2) < v,v < -1), u = -v, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]]
, [[3, 12, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, And(-2 < y,y <
-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3/2,
-3/2], [0, 0]]]], [[3, 12, 6, 3, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = 1,
And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3/2, -3/2], [
741455/1048576, 46341/65536]]]], [[3, 12, 6, 3, 5], [And(-2^(1/2) < v,v < -1),
u = -v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1, 1]
, [-3/2, -3/2], [2, 2]]]], [[3, 14, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [-1/2, -\
1/2], [0, 0]]]], [[3, 16, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/
2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [-4, -4], [-3, -3]]
]], [[3, 16, 6, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y
< -3, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[3, 16, 6, 1,
3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y < -3, And(-(-y)^(1/
2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [121853/65536, 1949649/1048576], [0, 0], [-4, -4], [0, 0]]]], [[3, 16, 6, 1,
4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y < -3, z = (-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [0, 0], [-4, -4], [2, 2]]]], [[3, 16, 6, 1, 5], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-4, -4], [3, 3]]]], [[4, 3, 1, 1, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x < -u^2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-1, -1], [-4, -4]]]], [[
4, 3, 1, 1, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y < 0, z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304
], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[4, 3, 1, 1, 3],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y < 0, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [-1, -1], [0, 0]]]], [[4, 3, 1, 1, 4], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), x < -u^2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1
, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-1, -1], [2344687/
1048576, 146543/65536]]]], [[4, 3, 1, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^
(1/2)), x < -u^2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-4, -4], [-1, -1], [4, 4]]]], [[4, 4, 9,
2, 1], [v = -1, u = -2^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain,
[[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-3, -3]]]],
[[4, 4, 9, 2, 2], [v = -1, u = -2^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4]
, [-1482911/1048576, -741455/524288]]]], [[4, 4, 9, 2, 3], [v = -1, u = -2^(1/
2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1]
, [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [0, 0]]]], [[4, 4, 9,
2, 4], [v = -1, u = -2^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [
[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [741455/524288
, 1482911/1048576]]]], [[4, 4, 9, 2, 5], [v = -1, u = -2^(1/2), 1 < x, y = -x-\
2, 2^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288]
, [2, 2], [-4, -4], [3, 3]]]], [[4, 11, 1, 6, 1], [v = -1, And(1 < u,u < 2^(1/
2)), x < -u^2, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576]
, [-2, -2]]]], [[4, 11, 1, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y
= u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576], [-772605/
1048576, -1545209/2097152]]]], [[4, 11, 1, 6, 3], [v = -1, And(1 < u,u < 2^(1/
2)), x < -u^2, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [
1288231/524288, 2576463/1048576], [-1/4194304, -1/4194304]]]], [[4, 11, 1, 6,
4], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = u^2-x-2, z = (-u^2+2)^(1/2)
], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [
1288231/524288, 2576463/1048576], [193151/262144, 772605/1048576]]]], [[4, 11,
1, 6, 5], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = u^2-x-2, (-u^2+2)^(1/
2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -\
3], [1288231/524288, 2576463/1048576], [2, 2]]]], [[4, 12, 9, 7, 1], [v = -1,
u = 2^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [2, 2], [1, 1], [0, 0]]]], [[5, 1, 4, 7, 1], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), x = -1, And(1 < y,y < u^2-v^2), z = z], [regular_chain
, [[-1/2, -1/2], [-3, -3], [-1, -1], [39/8, 39/8], [0, 0]]]], [[5, 3, 2, 1, 1]
, [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2
-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1], [-3, -\
3]]]], [[5, 3, 2, 1, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/
524288], [-1, -1], [-7805831/4194304, -3902915/2097152]]]], [[5, 3, 2, 1, 3],
[And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1
, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [-1, -1], [-1/4194304, -1/4194304]]]], [[5, 3, 2, 1
, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2
+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1],
[1951457/1048576, 975729/524288]]]], [[5, 3, 2, 1, 5], [And(-1 < v,v < 0), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
-2583195/1048576, -1291597/524288], [-1, -1], [3, 3]]]], [[5, 12, 8, 1, 1], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-5, -5], [-3, -3]]]], [[5,
12, 8, 1, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y < -4, z = -(-y-1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-5, -5], [-2, -2
]]]], [[5, 12, 8, 1, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y < -4,
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [1, 1], [-5, -5], [0, 0]]]], [[5, 12, 8, 1, 4], [And(-1 < v,v < 0), u =
(v^2+2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [3/2, 3/2], [1, 1], [-5, -5], [2, 2]]]], [[5, 12, 8, 1, 5], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [3/2, 3/2], [1, 1], [-5, -5], [3, 3]]]], [[6, 1, 5, 4, 1], [v = 0, u
< -2^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0
], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[6, 1, 5, 4, 2], [v = 0, u <
-2^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[6, 1
, 5, 4, 3], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [0, 0], [
0, 0]]]], [[6, 1, 5, 4, 4], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y = 0, z
= (-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[6, 1, 5, 4, 5], [v = 0, u < -2^(1/2), And(-\
1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-1/2
, -1/2], [0, 0], [2, 2]]]], [[6, 5, 2, 2, 1], [v = 0, And(-1 < u,u < 0), x = -
u^2-1, y = 0, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/
4, -5/4], [0, 0], [-3, -3]]]], [[6, 5, 2, 2, 2], [v = 0, And(-1 < u,u < 0), x
= -u^2-1, y = 0, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [
-5/4, -5/4], [0, 0], [-146543/131072, -1172343/1048576]]]], [[6, 5, 2, 2, 3],
[v = 0, And(-1 < u,u < 0), x = -u^2-1, y = 0, And(-(u^2+1)^(1/2) < z,z < (u^2+
1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [0, 0], [0, 0
]]]], [[6, 5, 2, 2, 4], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y = 0, z = (u^2
+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [0, 0], [
1172343/1048576, 146543/131072]]]], [[6, 5, 2, 2, 5], [v = 0, And(-1 < u,u < 0
), x = -u^2-1, y = 0, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2
], [-5/4, -5/4], [0, 0], [3, 3]]]], [[6, 7, 3, 3, 1], [v = 0, And(0 < u,u < 1)
, And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-1/16, -1/16], [-3, -3]]]],
[[6, 7, 3, 3, 2], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(-u^2-x
-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8,
-9/8], [-1/16, -1/16], [-285665/262144, -1142659/1048576]]]], [[6, 7, 3, 3, 3]
, [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2],
[-9/8, -9/8], [-1/16, -1/16], [0, 0]]]], [[6, 7, 3, 3, 4], [v = 0, And(0 < u,u
< 1), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-1/16, -1/16], [1142659/
1048576, 285665/262144]]]], [[6, 7, 3, 3, 5], [v = 0, And(0 < u,u < 1), And(-u
^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [1/2, 1/2], [-9/8, -9/8], [-1/16, -1/16], [3, 3]]]], [[7, 1, 6, 2, 1]
, [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-39/4, -39/4], [-5,
-5]]]], [[7, 1, 6, 2, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = -u
^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0,
0], [-39/4, -39/4], [-1637089/524288, -3274177/1048576]]]], [[7, 1, 6, 2, 3],
[And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [0,
0], [-39/4, -39/4], [0, 0]]]], [[7, 1, 6, 2, 4], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [-3, -3], [0, 0], [-39/4, -39/4], [3274177/1048576, 1637089/524288]]]]
, [[7, 1, 6, 2, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2
-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-\
39/4, -39/4], [5, 5]]]], [[7, 3, 3, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2
-x-1), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[-1815885/1048576, -1815885/1048576], [1029453/524288, 1029453/524288], [0, 0]
]]], [[7, 7, 4, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, y < u^2-v
^2, z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-2, -2]
, [-3, -3]]]], [[7, 7, 4, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -1,
y < u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1],
[-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[7, 7, 4, 1, 3], [And(0 <
v,v < 1), And(-v < u,u < v), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-2, -2], [-1/
4194304, -1/4194304]]]], [[7, 7, 4, 1, 4], [And(0 < v,v < 1), And(-v < u,u < v
), x = -1, y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0],
[-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[7, 7, 4, 1, 5], [
And(0 < v,v < 1), And(-v < u,u < v), x = -1, y < u^2-v^2, (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-2, -2], [3, 3]]]], [[7, 9, 4,
9, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, 1 < y, z = z],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [2,
2], [0, 0]]]], [[7, 11, 5, 4, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [0, 0], [-2, -2]]]],
[[7, 11, 5, 4, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[7, 11, 5, 4, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(
1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1
/2], [0, 0], [0, 0]]]], [[7, 11, 5, 4, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[7, 11, 5, 4, 5], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2
], [0, 0], [2, 2]]]], [[7, 13, 2, 3, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [39/8, 39/8], [-4, -4]]]],
[[7, 13, 2, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3
, 3], [-39/4, -39/4], [39/8, 39/8], [-1157597/524288, -2315193/1048576]]]], [[
7, 13, 2, 3, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 <
y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [39/8, 39/8], [0, 0]]]], [
[7, 13, 2, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3,
3], [-39/4, -39/4], [39/8, 39/8], [2315193/1048576, 1157597/524288]]]], [[7, 
13, 2, 3, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,
y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3],
[-39/4, -39/4], [39/8, 39/8], [4, 4]]]], [[8, 3, 6, 7, 1], [v = 1, And(-3^(1/2
) < u,u < -2^(1/2)), x = 0, u^2-2 < y, z = z], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [0, 0], [2, 2], [0, 0]]]], [[8, 5, 5, 6, 1
], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = u^2-x-2, z < -
(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576]
, [-3235683/4194304, -3235683/4194304], [239655/1048576, 29957/131072], [-2, -\
2]]]], [[8, 5, 5, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-\
2), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/
1048576, 29957/131072], [-772605/1048576, -1545209/2097152]]]], [[8, 5, 5, 6,
3], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = u^2-x-2, And(
-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/
1048576, 29957/131072], [-1/4194304, -1/4194304]]]], [[8, 5, 5, 6, 4], [v = 1,
And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = u^2-x-2, z = (-u^2+2)^(1/
2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [239655/1048576, 29957/131072], [193151/262144, 
772605/1048576]]]], [[8, 5, 5, 6, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(-1
< x,x < u^2-2), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/1048576, 29957/131072], [2, 2]]]], [[8, 11, 7, 3, 1], [v = 1, And(1 < u
,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [-1527887/2097152, -1527887/2097152], [-2, -2]]]],
[[8, 11, 7, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(-
u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-1527887/
2097152, -1527887/2097152], [-1, -1]]]], [[8, 11, 7, 3, 3], [v = 1, And(1 < u,
u < 2^(1/2)), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [-1527887/2097152, -\
1527887/2097152], [0, 0]]]], [[8, 11, 7, 3, 4], [v = 1, And(1 < u,u < 2^(1/2))
, And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [-1527887/2097152, -1527887/2097152], [1, 1]]]], [[8, 11, 7,
3, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(-u^2-x < y,y
< u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [-1527887/2097152, -\
1527887/2097152], [2, 2]]]], [[8, 13, 5, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), And(-1 < x,x < 0), u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [2, 2], [0, 0]]]], [[9, 1, 10
, 4, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+
v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[6860721/1048576, 3430361/524288], [-13721443/2097152, -6860721/1048576], [-1,
-1]]]], [[9, 1, 10, 4, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^
2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-13721443/2097152, -\
6860721/1048576], [0, 0]]]], [[9, 1, 10, 4, 3], [And(1 < v,v < 2^(1/2)), u < -
(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288]
, [-13721443/2097152, -6860721/1048576], [1, 1]]]], [[9, 3, 7, 5, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-
v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [-125491/1048576, -125491/1048576], [0, 0]]]], [[9, 13, 6, 5, 1], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y
,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/
2097152, -139585/262144], [139585/524288, 139585/524288], [-2, -2]]]], [[9, 13
, 6, 5, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2
-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [139585/524288, 139585/524288], [-1082093/
2097152, -270523/524288]]]], [[9, 13, 6, 5, 3], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v
^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/
2097152, -139585/262144], [139585/524288, 139585/524288], [0, 0]]]], [[9, 13,
6, 5, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1
, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [139585/524288, 139585/524288], [270523/
524288, 541047/1048576]]]], [[9, 13, 6, 5, 5], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+
1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [139585/524288,
139585/524288], [2, 2]]]], [[9, 15, 5, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[9, 15, 5, 4, 2], [And(1 < v,v <
2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327
/524288, 898327/524288], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[9, 15, 5, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 15, 5, 4, 4], [And(1 < v
,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/
65536]]]], [[9, 15, 5, 4, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/
2], [0, 0], [2, 2]]]], [[10, 1, 9, 8, 1], [v = 2^(1/2), u < -2, And(1 < x,x <
u^2-3), y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [7/2, 7/2], [5/2, 5/2], [0, 0]]]], [[10, 3, 6, 7, 1], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = 0, u^2-3 < y, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [2, 2
], [0, 0]]]], [[10, 9, 6, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, y = -
u^2+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2]
, [0, 0], [3/4, 3/4], [0, 0]]]], [[10, 11, 3, 7, 1], [v = 2^(1/2), And(0 < u,u
< 1), And(u^2-3 < x,x < -1), And(-x < y,y < -u^2-x+1), z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [9/4, 9/4], [0,
0]]]], [[10, 15, 4, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(u
^2-2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [773191/1048576, 
773191/1048576], [-2, -2]]]], [[10, 15, 4, 7, 2], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x = -1, And(u^2-2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1],
[773191/1048576, 773191/1048576], [-268683/524288, -1074731/2097152]]]], [[10,
15, 4, 7, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(u^2-2 < y,y <
1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [773191/
1048576, 773191/1048576], [-1/4194304, -1/4194304]]]], [[10, 15, 4, 7, 4], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(u^2-2 < y,y < 1), z = (1-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-1, -1], [773191/1048576, 773191/1048576], [537365/1048576,
268683/524288]]]], [[10, 15, 4, 7, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
= -1, And(u^2-2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [773191/
1048576, 773191/1048576], [2, 2]]]], [[10, 17, 3, 6, 1], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195
/2097152, -3651195/2097152], [1825597/1048576, 912799/524288], [-1, -1]]]], [[
10, 17, 3, 6, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1)
, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/
1048576, 912799/524288], [0, 0]]]], [[10, 17, 3, 6, 3], [v = 2^(1/2), And(3^(1
/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195
/2097152, -3651195/2097152], [1825597/1048576, 912799/524288], [1, 1]]]], [[10
, 19, 2, 3, 1], [v = 2^(1/2), 2 < u, x = -u^2+1, And(0 < y,y < u^2-1), z < -(u
^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8
, -8], [4, 4], [-3, -3]]]], [[10, 19, 2, 3, 2], [v = 2^(1/2), 2 < u, x = -u^2+
1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-8, -8], [4, 4], [-2, -2]]]], [[10, 19, 2,
3, 3], [v = 2^(1/2), 2 < u, x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^2-y-1)^(
1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-8, -8], [4, 4], [0, 0]]]], [[10, 19, 2, 3, 4], [v = 2^(1/2
), 2 < u, x = -u^2+1, And(0 < y,y < u^2-1), z = (u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [4, 4], [2
, 2]]]], [[10, 19, 2, 3, 5], [v = 2^(1/2), 2 < u, x = -u^2+1, And(0 < y,y < u^
2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-8, -8], [4, 4], [3, 3]]]], [[11, 1, 8, 2, 1], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [-5, -5], [1, 1], [-18, -18], [-6, -6]]]], [[11, 1, 8, 2, 2], [2^(1/2)
< v, u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [-18, -18], [-2161695/524288, -\
4323389/1048576]]]], [[11, 1, 8, 2, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [-18, -18], [0, 0]]]], [[11, 1, 8, 2
, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-18, -18], [4323389/
1048576, 2161695/524288]]]], [[11, 1, 8, 2, 5], [2^(1/2) < v, u < -(v^2+2)^(1/
2), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
5, -5], [1, 1], [-18, -18], [6, 6]]]], [[11, 5, 5, 4, 1], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [0, 0], [-2, -2]]]], [[11, 5, 5, 4, 2], [2^(1/2) < v, And(-
(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [0, 0], [-3640339/4194304, -1820169/2097152]]]], [[11, 5, 5
, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-\
1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0],
[-1/4194304, -1/4194304]]]], [[11, 5, 5, 4, 4], [2^(1/2) < v, And(-(v^2+1)^(1/
2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [0, 0], [227521/262144, 910085/1048576]]]], [[11, 5, 5, 4, 5
], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y
= 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072
], [-1579769/2097152, -1579769/2097152], [0, 0], [2, 2]]]], [[11, 7, 5, 8, 1],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y =
-x, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [391287/524288, 391287/524288], [-1, -1]]]], [
[11, 7, 5, 8, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x <
-u^2+v^2-1), y = -x, z = 0], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [391287/524288, 391287/
524288], [0, 0]]]], [[11, 7, 5, 8, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [391287/
524288, 391287/524288], [1, 1]]]], [[11, 12, 9, 6, 1], [2^(1/2) < v, u = (v^2-\
2)^(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [2, 2], [-1, -1], [0, 0]]]], [[11, 14, 8, 1, 1], [2^(1/2) < v, u
= (v^2-1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[11, 14, 8, 1
, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-4, -4], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 14, 8, 1, 3], [2^(1/2) < v, u = (
v^2-1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-4, -4], [-\
1/4194304, -1/4194304]]]], [[11, 14, 8, 1, 4], [2^(1/2) < v, u = (v^2-1)^(1/2)
, x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[11,
14, 8, 1, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-4, -4]
, [3, 3]]]], [[11, 18, 9, 1, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y < -
x-2, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [2, 2], [-5, -5], [-3, -3]]]], [[11, 18, 9, 1, 2], [2^(1/2) < v, u =
(v^2+1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/
2097152]]]], [[11, 18, 9, 1, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y < -
x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]],
[[11, 18, 9, 1, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y < -x-2, z = (-x-
y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [
-5, -5], [908093/524288, 1816187/1048576]]]], [[11, 18, 9, 1, 5], [2^(1/2) < v
, u = (v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [2, 2], [-5, -5], [3, 3]]]], [[11, 20, 5,
9, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), 1-x < y, z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [3, 3
], [0, 0]]]], [[1, 5, 5, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [258691/1048576, 64673/262144], [-2, -2]]]], [[1, 5, 5, 6,
2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y
= u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [258691/1048576
, 64673/262144], [-373161/524288, -1492643/2097152]]]], [[1, 5, 5, 6, 3], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^
2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/
2097152], [258691/1048576, 64673/262144], [-1/4194304, -1/4194304]]]], [[1, 5,
5, 6, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2
-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [258691/
1048576, 64673/262144], [746321/1048576, 373161/524288]]]], [[1, 5, 5, 6, 5],
[v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = u
^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [258691/1048576
, 64673/262144], [2, 2]]]], [[1, 7, 6, 5, 1], [v < -2^(1/2), And(v < u,u < -(v
^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/
2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143
/262144, -516571/1048576], [516571/2097152, 516571/2097152], [-2, -2]]]], [[1,
7, 6, 5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And
(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [
516571/2097152, 516571/2097152], [-16263/32768, -520415/1048576]]]], [[1, 7, 6
, 5, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 <
y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [516571/2097152, 516571/2097152], [0, 0]]]], [[1, 7,
6, 5, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [516571
/2097152, 516571/2097152], [520415/1048576, 16263/32768]]]], [[1, 7, 6, 5, 5],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^
2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [516571/2097152
, 516571/2097152], [2, 2]]]], [[1, 11, 3, 7, 1], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-x < y,y < -u^2+v^
2-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [19/2, 19/2
], [0, 0]]]], [[1, 13, 1, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3
], [1435023/524288, 1435023/524288], [-4, -4], [-1, -1], [-4, -4]]]], [[1, 13,
1, 1, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2
-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[1
, 13, 1, 1, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u
^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
3, -3], [1435023/524288, 1435023/524288], [-4, -4], [-1, -1], [0, 0]]]], [[1,
13, 1, 1, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2
-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[1,
13, 1, 1, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2
-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-4, -4], [-1, -1], [4, 4]]]], [[1, 18, 9, 3, 1], [v < -2^(1/
2), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-3, -3], [
-2, -2]]]], [[1, 18, 9, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(-x
-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[1, 18, 9, 3, 3], [v < -2^(1
/2), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2
, 2], [-3, -3], [0, 0]]]], [[1, 18, 9, 3, 4], [v < -2^(1/2), u = (v^2+1)^(1/2)
, 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [2, 2], [-3, -3], [1, 1]]]], [[1, 18, 9, 3, 5]
, [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-3,
-3], [2, 2]]]], [[1, 20, 6, 6, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, y
= 1, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0,
0], [1, 1], [0, 0]]]], [[2, 3, 1, 8, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x < -u^2+1, y = u^2-x-3, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [4699771/
1048576, 1174943/262144], [0, 0]]]], [[2, 5, 1, 2, 1], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), x < -u^2+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -\
3], [0, 0], [-3, -3]]]], [[2, 5, 1, 2, 2], [v = -2^(1/2), And(-3^(1/2) < u,u <
v), x < -u^2+1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [0, 0], [-\
1816187/1048576, -3632373/2097152]]]], [[2, 5, 1, 2, 3], [v = -2^(1/2), And(-3
^(1/2) < u,u < v), x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[2, 5, 1, 2,
4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = 0, z = (-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[2,
5, 1, 2, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = 0, (-x)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [0, 0], [3, 3]]]], [[2, 7, 3, 1, 1], [v
= -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y < u^2-x-3, z < -(-x-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-2, -2], [-\
3, -3]]]], [[2, 7, 3, 1, 2], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x
< -1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-2, -2], [-7586297/4194304, -948287/524288]]]], [[2, 7, 3,
1, 3], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y < u^2-x-3, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-2, -2], [0, 0]]]], [[2, 7, 3, 1, 4], [v = -2^(1/2), And(v
< u,u < -1), And(u^2-3 < x,x < -1), y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-2, -2], [948287/
524288, 1896575/1048576]]]], [[2, 7, 3, 1, 5], [v = -2^(1/2), And(v < u,u < -1
), And(u^2-3 < x,x < -1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-2, -2], [3, 3]]]], [[2, 9, 2, 2, 1], [v
= -2^(1/2), And(-1 < u,u < 0), x = u^2-3, y = 0, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/
4], [0, 0], [-3, -3]]]], [[2, 9, 2, 2, 2], [v = -2^(1/2), And(-1 < u,u < 0), x
= u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-11/4, -11/4], [0, 0], [-1738867/1048576, -\
3477733/2097152]]]], [[2, 9, 2, 2, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = u
^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/4], [0, 0], [-1/
4194304, -1/4194304]]]], [[2, 9, 2, 2, 4], [v = -2^(1/2), And(-1 < u,u < 0), x
= u^2-3, y = 0, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-11/4, -11/4], [0, 0], [869433/524288, 1738867/
1048576]]]], [[2, 9, 2, 2, 5], [v = -2^(1/2), And(-1 < u,u < 0), x = u^2-3, y
= 0, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1/2, -1/2], [-11/4, -11/4], [0, 0], [3, 3]]]], [[2, 12, 7, 7, 1], [v = -2^(1
/2), u = 1, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1/2, 1/2], [1, 1], [0, 0]]]], [[2, 14, 7, 1
, 1], [v = -2^(1/2), u = -v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [-3, -3]]]], [[2, 14, 7, 1, 2], [v = -2^(1/2), u =
-v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-4, -4], [-1482911/
1048576, -741455/524288]]]], [[2, 14, 7, 1, 3], [v = -2^(1/2), u = -v, 1 < x,
y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-4, -4],
[0, 0]]]], [[2, 14, 7, 1, 4], [v = -2^(1/2), u = -v, 1 < x, y < -1-x, z = (-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[2
, 14, 7, 1, 5], [v = -2^(1/2), u = -v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-4, -4], [3, 3]]]], [[3, 1, 3, 2, 1], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/
4194304], [-4, -4]]]], [[3, 1, 3, 2, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+
2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449
/2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [-1532401
/524288, -24518415/8388608]]]], [[3, 1, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/
1048576, -15818595/4194304], [-7/16777216, -7/16777216]]]], [[3, 1, 3, 2, 4],
[And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/
1048576, -15818595/4194304], [3064801/1048576, 1532401/524288]]]], [[3, 1, 3,
2, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -\
1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[-3954649/1048576, -15818595/4194304], [4, 4]]]], [[3, 2, 9, 5, 1], [And(-2^(1
/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [-3/2, -3/2], [0, 0]]]], [[3, 7, 1, 1, 1], [And(-2^(
1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z < -(-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[3, 7, 1, 1, 2],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0
, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-3, -3], [-1, -1], [-2, -2]]]], [[3, 7,
1, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^
2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [-1, -1], [0, 0]]]], [[3, 7, 1, 1, 4], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-3, -3], [-1, -1], [2, 2]]]], [[3, 7, 1, 1, 5], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [-1, -1], [3, 3]]]], [[3, 8, 9, 2, 1], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-4, -4], [-3, -3]]]], [[3, 8, 9, 2, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[3,
8, 9, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y = -x-2, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [2, 2], [-4, -4], [0, 0]]]], [[3
, 8, 9, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y = -x-2,
z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877
/2097152, -354469/524288], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]
]], [[3, 8, 9, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y
= -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-1417877/2097152, -354469/524288], [2, 2], [-4, -4], [3, 3]]]], [[4, 1, 2, 5,
1], [v = -1, u < -3^(1/2), x = -u^2, And(u^2 < y,y < 2*u^2-2), z = z], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [25/2, 25/2], [0, 0]]]], [[4, 2,
9, 1, 1], [v = -1, u = -3^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [-6, -\
6], [-3, -3]]]], [[4, 2, 9, 1, 2], [v = -1, u = -3^(1/2), 1 < x, y < -x-3, z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152
], [2, 2], [-6, -6], [-2, -2]]]], [[4, 2, 9, 1, 3], [v = -1, u = -3^(1/2), 1 <
x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [2, 2], [-6, -6], [0, 0]]]], [[4, 2,
9, 1, 4], [v = -1, u = -3^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [2, 2], [-6, -\
6], [2, 2]]]], [[4, 2, 9, 1, 5], [v = -1, u = -3^(1/2), 1 < x, y < -x-3, (-x-y
)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[2, 2], [-6, -6], [3, 3]]]], [[4, 6, 7, 2, 1], [v = -1, u = -1, 1 < x, y = -1-
x, z < -1], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-3, -3], [-2, -2]]]]
, [[4, 6, 7, 2, 2], [v = -1, u = -1, 1 < x, y = -1-x, z = -1], [regular_chain,
[[-1, -1], [-1, -1], [2, 2], [-3, -3], [-1, -1]]]], [[4, 6, 7, 2, 3], [v = -1,
u = -1, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -\
1], [2, 2], [-3, -3], [0, 0]]]], [[4, 6, 7, 2, 4], [v = -1, u = -1, 1 < x, y =
-1-x, z = 1], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-3, -3], [1, 1]]]]
, [[4, 6, 7, 2, 5], [v = -1, u = -1, 1 < x, y = -1-x, 1 < z], [regular_chain,
[[-1, -1], [-1, -1], [2, 2], [-3, -3], [2, 2]]]], [[4, 8, 8, 3, 1], [v = -1, u
= 0, x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1],
[0, 0], [1, 1], [-2, -2], [-2, -2]]]], [[4, 8, 8, 3, 2], [v = -1, u = 0, x = 1
, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [
1, 1], [-2, -2], [-1, -1]]]], [[4, 8, 8, 3, 3], [v = -1, u = 0, x = 1, And(-3
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -\
1], [0, 0], [1, 1], [-2, -2], [0, 0]]]], [[4, 8, 8, 3, 4], [v = -1, u = 0, x =
1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [
1, 1], [-2, -2], [1, 1]]]], [[4, 8, 8, 3, 5], [v = -1, u = 0, x = 1, And(-3 <
y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-2,
-2], [2, 2]]]], [[4, 14, 6, 2, 1], [v = -1, u = 3^(1/2), x = 0, y = -3, z < -3
^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0],
[-3, -3], [-3, -3]]]], [[4, 14, 6, 2, 2], [v = -1, u = 3^(1/2), x = 0, y = -3,
z = -3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0
, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[4, 14, 6, 2, 3], [v
= -1, u = 3^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [-3, -3],
[-1/4194304, -1/4194304]]]], [[4, 14, 6, 2, 4], [v = -1, u = 3^(1/2), x = 0, y
= -3, z = 3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[4, 14, 6, 2, 5], [
v = -1, u = 3^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [0, 0], [-3, -3], [3, 3]]]], [[5, 1, 3, 7, 1]
, [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-x <
y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -\
43/8], [37/4, 37/4], [0, 0]]]], [[5, 4, 9, 3, 1], [And(-1 < v,v < 0), u = -(v^
2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [-3, -3], [-2, -2]]]
], [[5, 4, 9, 3, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[5, 4, 9, 3, 3], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343
/1048576], [2, 2], [-3, -3], [0, 0]]]], [[5, 4, 9, 3, 4], [And(-1 < v,v < 0),
u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [-3,
-3], [1, 1]]]], [[5, 4, 9, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 <
x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [2, 2], [-3, -3], [2, 2]]]], [[5, 7, 1, 4, 1
], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [7/4, 7
/4], [-3, -3]]]], [[5, 7, 1, 4, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x <
u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [0, 0], [-3, -3], [7/4, 7/4], [-146543/131072, -1172343/1048576]]]], [[
5, 7, 1, 4, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = u^2-
v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-1/2, -1/2], [0, 0], [-3, -3], [7/4, 7/4], [0, 0]]]], [[5, 7, 1, 4, 4], [And
(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [7/4, 7/4], [
1172343/1048576, 146543/131072]]]], [[5, 7, 1, 4, 5], [And(-1 < v,v < 0), And(
v < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [7/4, 7/4], [3, 3]]]], [[5, 9,
3, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [636235/2097152, 636235/2097152], [-2, -2]]]], [[5, 9, 3, 5, 2], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [
636235/2097152, 636235/2097152], [-3976575/4194304, -15906299/16777216]]]], [[
5, 9, 3, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^
2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [636235/2097152, 636235/2097152], [-11/
33554432, -11/33554432]]]], [[5, 9, 3, 5, 4], [And(-1 < v,v < 0), And(-v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z =
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [636235/2097152, 636235/
2097152], [994143/1048576, 31067/32768]]]], [[5, 9, 3, 5, 5], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u
^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [636235/
2097152, 636235/2097152], [2, 2]]]], [[5, 11, 2, 6, 1], [And(-1 < v,v < 0), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z =
z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [767309/262144, 3069237/1048576], [0, 0]]]], [[6, 1
, 6, 4, 1], [v = 0, u < -2^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[0, 0
], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[6, 1, 6, 4, 2], [v = 0, u < -2^(1/
2), x = 0, y = 0, z = 0], [regular_chain, [[0, 0], [-3, -3], [0, 0], [0, 0], [
0, 0]]]], [[6, 1, 6, 4, 3], [v = 0, u < -2^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[0, 0], [-3, -3], [0, 0], [0, 0], [1, 1]]]], [[6, 3, 3, 9, 1],
[v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), u^2-x-1 < y, z = z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [4, 4], [0, 0]]]], [[6, 9, 3, 6, 1], [v = 0, And(1
< u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576],
[1812519/1048576, 1812519/1048576], [-1, -1]]]], [[6, 9, 3, 6, 2], [v = 0, And
(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/
1048576], [1812519/1048576, 1812519/1048576], [0, 0]]]], [[6, 9, 3, 6, 3], [v
= 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1812519/1048576,
-1812519/1048576], [1812519/1048576, 1812519/1048576], [1, 1]]]], [[6, 10, 9,
9, 1], [v = 0, u = 2^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [2, 2], [1, 1], [0, 0]]]], [[7, 3, 4, 7, 1],
[And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(1 <
y,y < u^2-v^2), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1, -1], [1291597/1048576, 1291597/1048576], [0, 0]]]], [[7, 5, 4, 1
, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2,
z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[7, 5, 4, 1, 2], [And(0 < v,v < 1)
, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-\
2, -2], [-1816187/1048576, -3632373/2097152]]]], [[7, 5, 4, 1, 3], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[7, 5, 4,
1, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2
, z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[7, 5, 4,
1, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2
, (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [-2, -2], [3, 3]]]], [[8, 1, 8, 2, 1], [v = 1, u < -3^(1/2
), x = 1, y = -u^2-1, z < u], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-10,
-10], [-4, -4]]]], [[8, 1, 8, 2, 2], [v = 1, u < -3^(1/2), x = 1, y = -u^2-1,
z = u], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-10, -10], [-3, -3]]]], [[
8, 1, 8, 2, 3], [v = 1, u < -3^(1/2), x = 1, y = -u^2-1, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-3, -3], [1, 1], [-10, -10], [0, 0]]]], [[8, 1, 8, 2,
4], [v = 1, u < -3^(1/2), x = 1, y = -u^2-1, z = -u], [regular_chain, [[1, 1],
[-3, -3], [1, 1], [-10, -10], [3, 3]]]], [[8, 1, 8, 2, 5], [v = 1, u < -3^(1/2
), x = 1, y = -u^2-1, -u < z], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-10
, -10], [4, 4]]]], [[8, 3, 5, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(-1 < x,x < 0), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[8,
3, 5, 1, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u
^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195
/4194304], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[8,
3, 5, 1, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u
^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[8, 3,
5, 1, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u^2-
x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[8, 3,
5, 1, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u^2-
x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[8, 7, 6, 1, 1], [v = 1, And(-1
< u,u < 0), x = -u^2, y < 2*u^2-2, z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1
], [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [-3, -3]]]], [[8, 7, 6, 1, 2], [v = 1
, And(-1 < u,u < 0), x = -u^2, y < 2*u^2-2, z = -(u^2-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [-3780695/
2097152, -7561389/4194304]]]], [[8, 7, 6, 1, 3], [v = 1, And(-1 < u,u < 0), x
= -u^2, y < 2*u^2-2, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [-1/8388608, -1/
8388608]]]], [[8, 7, 6, 1, 4], [v = 1, And(-1 < u,u < 0), x = -u^2, y < 2*u^2-\
2, z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [-\
3, -3], [1890347/1048576, 472587/262144]]]], [[8, 7, 6, 1, 5], [v = 1, And(-1
< u,u < 0), x = -u^2, y < 2*u^2-2, (u^2-y)^(1/2) < z], [regular_chain, [[1, 1]
, [-1/2, -1/2], [-1/4, -1/4], [-3, -3], [3, 3]]]], [[8, 9, 4, 9, 1], [v = 1, 
And(0 < u,u < 1), x = -1, 1 < y, z = z], [regular_chain, [[1, 1], [1/2, 1/2],
[-1, -1], [2, 2], [0, 0]]]], [[8, 15, 3, 1, 1], [v = 1, 3^(1/2) < u, And(-u^2
< x,x < -1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3],
[-5, -5], [-5, -5], [-5, -5]]]], [[8, 15, 3, 1, 2], [v = 1, 3^(1/2) < u, And(-
u^2 < x,x < -1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3,
3], [-5, -5], [-5, -5], [-3315889/1048576, -207243/65536]]]], [[8, 15, 3, 1, 3
], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y < -u^2-x, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3, 3], [-5, -5], [-5, -5], [0,
0]]]], [[8, 15, 3, 1, 4], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y < -u^2-
x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-5, -5], [-5, -5], [
207243/65536, 3315889/1048576]]]], [[8, 15, 3, 1, 5], [v = 1, 3^(1/2) < u, And
(-u^2 < x,x < -1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3,
3], [-5, -5], [-5, -5], [5, 5]]]], [[9, 1, 8, 7, 1], [And(1 < v,v < 2^(1/2)),
u < -(v^2+2)^(1/2), x = 1, And(0 < y,y < u^2-v^2-2), z = z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [5812145/2097152, 
5812145/2097152], [0, 0]]]], [[9, 5, 6, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-1116679/2097152, -558339/1048576], [-7843787/8388608, -\
3921893/4194304], [-3, -3]]]], [[9, 5, 6, 2, 2], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-7843787/8388608, -\
3921893/4194304], [-1270261/1048576, -317565/262144]]]], [[9, 5, 6, 2, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*
u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [-7843787/8388608, -3921893/4194304], [0, 0
]]]], [[9, 5, 6, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v
), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1116679/2097152, -558339/1048576], [-7843787/8388608, -3921893/4194304], [
317565/262144, 1270261/1048576]]]], [[9, 5, 6, 2, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1116679/2097152, -558339/1048576], [-7843787/
8388608, -3921893/4194304], [3, 3]]]], [[9, 7, 6, 6, 1], [And(1 < v,v < 2^(1/2
)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [225185/524288, 450371/
1048576], [-1, -1]]]], [[9, 7, 6, 6, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [225185/524288, 450371/1048576], [0, 0]]]], [
[9, 7, 6, 6, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
-u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [225185/524288, 450371/1048576], [1, 1]]]], [[9, 9, 7, 4, 1], [And(1
< v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^
2+v^2-1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [239655/1048576, 239655/1048576], [-239655/1048576, -239655/1048576],
[-1, -1]]]], [[9, 9, 7, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576
], [-239655/1048576, -239655/1048576], [0, 0]]]], [[9, 9, 7, 4, 3], [And(1 < v
,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v
^2-1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [239655/1048576, 239655/1048576], [-239655/1048576, -239655/1048576], [1
, 1]]]], [[9, 11, 6, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u <
v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
112593/262144, -450371/1048576], [-3, -3], [-3, -3]]]], [[9, 11, 6, 1, 2], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 2*u^
2-2*v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576]
, [-3, -3], [-7767403/4194304, -3883701/2097152]]]], [[9, 11, 6, 1, 3], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2*v^
2, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/
262144, -450371/1048576], [-3, -3], [-1/4194304, -1/4194304]]]], [[9, 11, 6, 1
, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y
< 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [-3, -3], [970925/524288, 1941851/1048576]]]], [[9, 11, 6, 1, 5], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 2*u^
2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[-3, -3], [3, 3]]]], [[9, 15, 7, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [-6202165/
4194304, -6202165/4194304], [-3, -3]]]], [[9, 15, 7, 3, 2], [And(1 < v,v < 2^(
1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And
(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [-6202165/4194304, -6202165/4194304], [-583671/524288, -\
1167341/1048576]]]], [[9, 15, 7, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [-6202165/4194304, -6202165/4194304], [0, 0]]]], [[9, 15, 7,
3, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-6202165/4194304, -6202165/4194304
], [1167341/1048576, 583671/524288]]]], [[9, 15, 7, 3, 5], [And(1 < v,v < 2^(1
/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(
-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [-6202165/4194304, -6202165/4194304], [3, 3]]]], [[9, 17, 4, 2, 1],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1,
-1], [-15818595/2097152, -7909297/1048576], [-4, -4]]]], [[9, 17, 4, 2, 2], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1,
-1], [-15818595/2097152, -7909297/1048576], [-1532401/524288, -24518415/
8388608]]]], [[9, 17, 4, 2, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 4
, 2, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3
], [-1, -1], [-15818595/2097152, -7909297/1048576], [3064801/1048576, 1532401/
524288]]]], [[9, 17, 4, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
-1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [-15818595/2097152, -7909297/1048576], [4,
4]]]], [[10, 5, 7, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 <
x,x < 0), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [-34423/262144, -34423/262144], [-2, -2]]]], [[10,
5, 7, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And
(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [-34423/262144, -34423/262144], [-82267/131072, -1316271/
2097152]]]], [[10, 5, 7, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^
2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [-34423/262144, -34423
/262144], [-1/4194304, -1/4194304]]]], [[10, 5, 7, 5, 4], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), z = (-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [-34423/262144, -34423
/262144], [658135/1048576, 82267/131072]]]], [[10, 5, 7, 5, 5], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), (-x-y)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-34423/
262144, -34423/262144], [2, 2]]]], [[10, 7, 7, 9, 1], [v = 2^(1/2), And(-v < u
,u < -1), And(-u^2+1 < x,x < 0), -x < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [2, 2], [0, 0]]]], [[10, 11, 5, 4, 1], [v = 2^(1/2)
, And(0 < u,u < 1), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0], [-2, -2
]]]], [[10, 11, 5, 4, 2], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2
, 1/2], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[10, 11
, 5, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = 0, And(-(-x
)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [1/2, 1/2], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 11, 5, 4, 4], [v = 2^(1/
2), And(0 < u,u < 1), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [0
, 0], [741455/1048576, 46341/65536]]]], [[10, 11, 5, 4, 5], [v = 2^(1/2), And(
0 < u,u < 1), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0], [2, 2]]]],
[[10, 13, 4, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(u^2-2 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152
], [-3, -3]]]], [[10, 13, 4, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x = -1, 
And(u^2-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-569265/
2097152, -569265/2097152], [-591179/524288, -1182357/1048576]]]], [[10, 13, 4,
3, 3], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(u^2-2 < y,y < 0), And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-569265/2097152, -\
569265/2097152], [0, 0]]]], [[10, 13, 4, 3, 4], [v = 2^(1/2), And(1 < u,u < v)
, x = -1, And(u^2-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
569265/2097152, -569265/2097152], [1182357/1048576, 591179/524288]]]], [[10, 
13, 4, 3, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(u^2-2 < y,y < 0), (1
-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152], [3, 3
]]]], [[11, 3, 5, 1, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [-3, -3
]]]], [[11, 3, 5, 1, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [-\
7846825/4194304, -980853/524288]]]], [[11, 3, 5, 1, 3], [2^(1/2) < v, And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[11, 3, 5, 1,
4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0
), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/
1048576]]]], [[11, 3, 5, 1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-\
3, -3], [3, 3]]]], [[11, 5, 3, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), And(-u^2+v^2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [3, 3],
[0, 0]]]], [[11, 9, 4, 7, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x = -1, And(1 < y,y < -u^2+v^2), z = z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [2630187/2097152, 2630187/
2097152], [0, 0]]]], [[11, 11, 1, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [regular_chain, [[3, 3], [0
, 0], [-11, -11], [11, 11], [-1, -1]]]], [[11, 11, 1, 6, 2], [2^(1/2) < v, And
(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [11, 11], [0, 0]]]], [[11, 11, 1,
6, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1,
y = -x, 0 < z], [regular_chain, [[3, 3], [0, 0], [-11, -11], [11, 11], [1, 1]]
]], [[11, 16, 6, 5, 1], [2^(1/2) < v, u = v, x = 1, And(-1 < y,y < 0), z = z],
[regular_chain, [[3, 3], [3, 3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 18, 7,
2, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/
2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-5
/2, -5/2], [-3, -3]]]], [[11, 18, 7, 2, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), 
And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/
524288]]]], [[11, 18, 7, 2, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x <
1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [207243
/65536, 3315889/1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[11, 18, 7, 2,
4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-5/2, -\
5/2], [741455/524288, 1482911/1048576]]]], [[11, 18, 7, 2, 5], [2^(1/2) < v, u
= (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[3
, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[
1, 1, 10, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+
2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15],
[-32, -32], [-6, -6]]]], [[1, 1, 10, 2, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2),
x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3
, -3], [-5, -5], [15, 15], [-32, -32], [-2161695/524288, -4323389/1048576]]]],
[[1, 1, 10, 2, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^
2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[-3, -3], [-5, -5], [15, 15], [-32, -32], [0, 0]]]], [[1, 1, 10, 2, 4], [v < -
2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [-32, -32], [4323389/
1048576, 2161695/524288]]]], [[1, 1, 10, 2, 5], [v < -2^(1/2), u < -(v^2+2)^(1
/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-3, -3], [-5, -5], [15, 15], [-32, -32], [6, 6]]]], [[1, 3, 7, 3, 1], [v < -
2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1),
And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-391655/
262144, -391655/262144], [-3, -3]]]], [[1, 3, 7, 3, 2], [v < -2^(1/2), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/524288, 129511/524288], [-391655/262144, -\
391655/262144], [-1170947/1048576, -585473/524288]]]], [[1, 3, 7, 3, 3], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288
, 129511/524288], [-391655/262144, -391655/262144], [0, 0]]]], [[1, 3, 7, 3, 4
], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^
2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288],
[-391655/262144, -391655/262144], [585473/524288, 1170947/1048576]]]], [[1, 3,
7, 3, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x
,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288
, 129511/524288], [-391655/262144, -391655/262144], [3, 3]]]], [[1, 7, 8, 1, 1
], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z < -(-
y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0
, 0], [-3, -3], [-3, -3]]]], [[1, 7, 8, 1, 2], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [0, 0], [-3, -3], [-1816187/1048576,
-3632373/2097152]]]], [[1, 7, 8, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0, 0], [-3, -\
3], [-1/4194304, -1/4194304]]]], [[1, 7, 8, 1, 4], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [0, 0], [-3, -3], [908093/524288,
1816187/1048576]]]], [[1, 7, 8, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [0, 0], [-3, -3], [3, 3]]]], [[1, 9, 6, 7,
1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, -u^2+v^2
-1 < y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [0, 0], [2, 2], [0, 0]]]], [[1, 15, 1, 5, 1], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3, -3], [2, 2], [-2, -2]]]], [[1, 15, 1, 5, 2], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-\
1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3, -3], [2, 2], [-1, -1]]]], [[1, 15, 1, 5, 3], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-\
1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [2, 2], [0, 0]]]], [[1, 15, 1, 5,
4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x
-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [2, 2], [1, 1]]]], [[1, 15, 1, 5,
5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x
-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [2, 2], [2, 2]]]], [[1, 17, 1, 9,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, -x < y, z =
z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [4, 4
], [0, 0]]]], [[1, 20, 8, 2, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y =
-4, z < -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [1, 1], [-4, -4], [-3, -3]]]], [[1, 20, 8, 2, 2], [v < -2^(1/2), u = (v^2+2
)^(1/2), x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1, 1], [-4, -4], [-1816187/1048576, -3632373/
2097152]]]], [[1, 20, 8, 2, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y = -\
4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576
, 1738867/524288], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[1, 20, 8,
2, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y = -4, z = 3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [-4, -4],
[908093/524288, 1816187/1048576]]]], [[1, 20, 8, 2, 5], [v < -2^(1/2), u = (v^
2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1, 1], [-4, -4], [3, 3]]]], [[2, 1, 5, 1, 1], [v =
-2^(1/2), u < -2, And(-1 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-\
9, -9], [-5, -5]]]], [[2, 1, 5, 1, 2], [v = -2^(1/2), u < -2, And(-1 < x,x < 0
), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-1/2, -1/2], [-9, -9], [-3231929/1048576, -403991/
131072]]]], [[2, 1, 5, 1, 3], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), y < -u
^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-9, -9], [0, 0]]]], [[2, 1,
5, 1, 4], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -\
1/2], [-9, -9], [403991/131072, 3231929/1048576]]]], [[2, 1, 5, 1, 5], [v = -2
^(1/2), u < -2, And(-1 < x,x < 0), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-\
9, -9], [5, 5]]]], [[2, 10, 7, 9, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1),
1-x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0],
[1/2, 1/2], [2, 2], [0, 0]]]], [[2, 12, 5, 7, 1], [v = -2^(1/2), u = 1, And(-1
< x,x < 0), -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1, 1], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2, 16, 7, 2, 1], [v = -2^(1/2),
u = 3^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2]
, [-5/2, -5/2], [-3, -3]]]], [[2, 16, 7, 2, 2], [v = -2^(1/2), u = 3^(1/2), 
And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-5/2, -5/2], [
-1482911/1048576, -741455/524288]]]], [[2, 16, 7, 2, 3], [v = -2^(1/2), u = 3^
(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[2, 16, 7, 2, 4], [v = -2^(1/2
), u = 3^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2]
, [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[2, 16, 7, 2, 5], [v = -
2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1/2,
1/2], [-5/2, -5/2], [3, 3]]]], [[2, 18, 4, 5, 1], [v = -2^(1/2), u = 2, x = -1
, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 18, 4, 5, 2],
[v = -2^(1/2), u = 2, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1/2, 1/
2], [-1482911/2097152, -741455/1048576]]]], [[2, 18, 4, 5, 3], [v = -2^(1/2),
u = 2, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[2, 18, 4, 5, 4], [v = -2^(1/2), u = 2, x = -1, And(0 < y,y <
1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2, 18, 4, 5, 5],
[v = -2^(1/2), u = 2, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[3, 4, 7, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2)
, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [0, 0], [0,
0]]]], [[3, 6, 6, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, x = 1, And(-2 < y,y
< -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-3/2, -3/2], [-2, -2]
]]], [[3, 6, 6, 3, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 1, And(-2 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [1, 1], [-3/2, -3/2], [-1482911/
2097152, -741455/1048576]]]], [[3, 6, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u =
v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-3/2, -3/2], [0, 0]]]], [[3, 6, 6, 3, 4], [And(-2^(
1/2) < v,v < -1), u = v, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[3,
6, 6, 3, 5], [And(-2^(1/2) < v,v < -1), u = v, x = 1, And(-2 < y,y < -1), (-y-\
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-3/2, -3/2], [2, 2]]]], [[3, 10,
7, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(
-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-3/2, -3/2], [
-2, -2]]]], [[3, 10, 7, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 
And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/
2], [-3/2, -3/2], [-1, -1]]]], [[3, 10, 7, 3, 3], [And(-2^(1/2) < v,v < -1), u
= (v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[3, 10,
7, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(0 < x,x < 1), And(
-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-3/2, -3/2], [
1, 1]]]], [[3, 10, 7, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And
(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2
], [-3/2, -3/2], [2, 2]]]], [[3, 12, 5, 7, 1], [And(-2^(1/2) < v,v < -1), u =
-v, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [1, 1], [0,
0]]]], [[3, 14, 8, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 1,
y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659
/1048576, 410915/262144], [1, 1], [0, 0], [0, 0]]]], [[3, 16, 5, 7, 1], [And(-
2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x)
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536
, 1949649/1048576], [-1/2, -1/2], [1, 1], [0, 0]]]], [[4, 3, 1, 4, 1], [v = -1
, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = -u^2-x, z < u], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1599345/1048576,
799673/524288], [-3, -3]]]], [[4, 3, 1, 4, 2], [v = -1, And(-3^(1/2) < u,u < -
2^(1/2)), x < -u^2, y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-4, -4], [1599345/1048576, 799673/524288], [-\
1649549/1048576, -3299097/2097152]]]], [[4, 3, 1, 4, 3], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x < -u^2, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [
[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1599345/1048576, 
799673/524288], [-1/4194304, -1/4194304]]]], [[4, 3, 1, 4, 4], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), x < -u^2, y = -u^2-x, z = -u], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1599345/1048576, 799673/
524288], [412387/262144, 1649549/1048576]]]], [[4, 3, 1, 4, 5], [v = -1, And(-
3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = -u^2-x, -u < z], [regular_chain, [[-1
, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1599345/1048576, 
799673/524288], [3, 3]]]], [[4, 4, 9, 1, 1], [v = -1, u = -2^(1/2), 1 < x, y <
-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [2, 2], [-5, -5], [-3, -3]]]], [[4, 4, 9, 1, 2], [v = -1, u =
-2^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 4, 9, 1, 3], [v = -1, u = -2^(1/2), 1 < x, y < -x-2,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911
/1048576, -741455/524288], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[4,
4, 9, 1, 4], [v = -1, u = -2^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-5, -5]
, [908093/524288, 1816187/1048576]]]], [[4, 4, 9, 1, 5], [v = -1, u = -2^(1/2)
, 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [2, 2], [-5, -5], [3, 3]]]], [[4, 11, 1, 7, 1], [v =
-1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3],
[5722191/2097152, 5722191/2097152], [-2, -2]]]], [[4, 11, 1, 7, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [
5722191/2097152, 5722191/2097152], [-273157/524288, -1092627/2097152]]]], [[4,
11, 1, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3, -3], [5722191/2097152, 5722191/2097152
], [-1/4194304, -1/4194304]]]], [[4, 11, 1, 7, 4], [v = -1, And(1 < u,u < 2^(1
/2)), x < -u^2, And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [5722191/2097152, 
5722191/2097152], [546313/1048576, 273157/524288]]]], [[4, 11, 1, 7, 5], [v =
-1, And(1 < u,u < 2^(1/2)), x < -u^2, And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [
5722191/2097152, 5722191/2097152], [2, 2]]]], [[4, 12, 9, 4, 1], [v = -1, u =
2^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[4, 12, 9, 4, 2], [v = -1, u
= 2^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [2, 2], [-2, -2], [0, 0]]]], [[4, 12, 9, 4, 3], [v = -1, u =
2^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [2, 2], [-2, -2], [1, 1]]]], [[5, 1, 5, 1, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [-11, -11], [-5, -\
5]]]], [[5, 1, 5, 1, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x
< 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3
, -3], [-1/2, -1/2], [-11, -11], [-3555895/1048576, -1777947/524288]]]], [[5,
1, 5, 1, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u
^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-3, -3], [-1/2, -1/2], [-11, -11], [0, 0]]]], [[5, 1, 5, 1, 4], [And(-\
1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [-11, -11],
[1777947/524288, 3555895/1048576]]]], [[5, 1, 5, 1, 5], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [-11, -11], [5, 5]]]], [
[5, 3, 1, 9, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-4, -4], [6, 6], [0, 0]]]], [[5, 12, 8, 2, 1]
, [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-4, -4], [-3, -3]]]], [[5,
12, 8, 2, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y = -4, z = -3^(1/
2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-4, -4], [-1816187/
1048576, -3632373/2097152]]]], [[5, 12, 8, 2, 3], [And(-1 < v,v < 0), u = (v^2
+2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1
/2, -1/2], [3/2, 3/2], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[5, 12,
8, 2, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, y = -4, z = 3^(1/2)],
[regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[5, 12, 8, 2, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1]
, [-4, -4], [3, 3]]]], [[6, 1, 5, 1, 1], [v = 0, u < -2^(1/2), And(-1 < x,x <
0), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1/2
, -1/2], [-11, -11], [-5, -5]]]], [[6, 1, 5, 1, 2], [v = 0, u < -2^(1/2), And(
-1 < x,x < 0), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3,
-3], [-1/2, -1/2], [-11, -11], [-3555895/1048576, -1777947/524288]]]], [[6, 1,
5, 1, 3], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y < -u^2-x-1, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2],
[-11, -11], [0, 0]]]], [[6, 1, 5, 1, 4], [v = 0, u < -2^(1/2), And(-1 < x,x <
0), y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1/2,
-1/2], [-11, -11], [1777947/524288, 3555895/1048576]]]], [[6, 1, 5, 1, 5], [v
= 0, u < -2^(1/2), And(-1 < x,x < 0), y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [-11, -11], [5, 5]]]], [[6, 5,
2, 5, 1], [v = 0, And(-1 < u,u < 0), x = -u^2-1, And(2*u^2 < y,y < u^2+1), z <
-(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [7/8,
7/8], [-2, -2]]]], [[6, 5, 2, 5, 2], [v = 0, And(-1 < u,u < 0), x = -u^2-1, 
And(2*u^2 < y,y < u^2+1), z = -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/
2, -1/2], [-5/4, -5/4], [7/8, 7/8], [-1284239/2097152, -642119/1048576]]]], [[
6, 5, 2, 5, 3], [v = 0, And(-1 < u,u < 0), x = -u^2-1, And(2*u^2 < y,y < u^2+1
), And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [-\
1/2, -1/2], [-5/4, -5/4], [7/8, 7/8], [0, 0]]]], [[6, 5, 2, 5, 4], [v = 0, And
(-1 < u,u < 0), x = -u^2-1, And(2*u^2 < y,y < u^2+1), z = (u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [7/8, 7/8], [642119/
1048576, 80265/131072]]]], [[6, 5, 2, 5, 5], [v = 0, And(-1 < u,u < 0), x = -u
^2-1, And(2*u^2 < y,y < u^2+1), (u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0],
[-1/2, -1/2], [-5/4, -5/4], [7/8, 7/8], [2, 2]]]], [[6, 7, 3, 2, 1], [v = 0, 
And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-1/8, -1/8], [-3, -3]]]], [
[6, 7, 3, 2, 2], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = -u^2-x-\
1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-1
/8, -1/8], [-146543/131072, -1172343/1048576]]]], [[6, 7, 3, 2, 3], [v = 0, 
And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z
,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-1/8
, -1/8], [0, 0]]]], [[6, 7, 3, 2, 4], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x
,x < -1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2
], [-9/8, -9/8], [-1/8, -1/8], [1172343/1048576, 146543/131072]]]], [[6, 7, 3,
2, 5], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y = -u^2-x-1, (u^2+1)
^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-1/8, -1/8],
[3, 3]]]], [[7, 1, 6, 3, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, And
(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3
], [0, 0], [-39/8, -39/8], [-4, -4]]]], [[7, 1, 6, 3, 2], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-39/8, -39/8], [-1157597/524288
, -2315193/1048576]]]], [[7, 1, 6, 3, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2
), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-39/8, -39/8], [0, 0]]]], [[7,
1, 6, 3, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,
y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-39/8
, -39/8], [2315193/1048576, 1157597/524288]]]], [[7, 1, 6, 3, 5], [And(0 < v,v
< 1), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [-39/8, -39/8], [4, 4]]]], [[7,
3, 3, 4, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [0
, 0], [-3, -3]]]], [[7, 3, 3, 4, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [0, 0], [-1379889/1048576, -86243/65536]]]], [[7,
3, 3, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [0, 0], [0, 0]]]], [[7, 3, 3, 4, 4], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1815885/1048576, -1815885/1048576], [0, 0], [86243/65536, 1379889/
1048576]]]], [[7, 3, 3, 4, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [0, 0], [3, 3]]]], [[7, 7, 4, 4, 1], [And(0 < v,v
< 1), And(-v < u,u < v), x = -1, y = 0, z < -1], [regular_chain, [[1/2, 1/2],
[0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[7, 7, 4, 4, 2], [And(0 < v,v < 1), 
And(-v < u,u < v), x = -1, y = 0, z = -1], [regular_chain, [[1/2, 1/2], [0, 0]
, [-1, -1], [0, 0], [-1, -1]]]], [[7, 7, 4, 4, 3], [And(0 < v,v < 1), And(-v <
u,u < v), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [0,
0], [-1, -1], [0, 0], [0, 0]]]], [[7, 7, 4, 4, 4], [And(0 < v,v < 1), And(-v <
u,u < v), x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1]
, [0, 0], [1, 1]]]], [[7, 7, 4, 4, 5], [And(0 < v,v < 1), And(-v < u,u < v), x
= -1, y = 0, 1 < z], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [0, 0], [2
, 2]]]], [[7, 9, 4, 8, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x
= -1, y = 1, z < 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [1, 1], [-1, -1]]]], [[7, 9, 4, 8, 2], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [-1, -1], [1, 1], [0, 0]]]], [[7, 9, 4
, 8, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, 0 < z
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1],
[1, 1], [1, 1]]]], [[7, 11, 5, 3, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2,
-1/2], [-32942499/33554432, -32942499/33554432], [-3, -3]]]], [[7, 11, 5, 3, 2
], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x <
0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [343151/262144, 343151/262144], [-1/2, -1/2], [-32942499/33554432, -\
32942499/33554432], [-159551/131072, -1276407/1048576]]]], [[7, 11, 5, 3, 3],
[And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0)
, And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-\
32942499/33554432, -32942499/33554432], [0, 0]]]], [[7, 11, 5, 3, 4], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^
2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432]
, [1276407/1048576, 159551/131072]]]], [[7, 11, 5, 3, 5], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [3, 3]
]]], [[7, 13, 2, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1,
y = 2*u^2-2*v^2, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4],
[35/2, 35/2], [0, 0]]]], [[8, 3, 6, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/
2)), x = 0, y = 0, z < 0], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [0, 0], [0, 0], [-1, -1]]]], [[8, 3, 6, 4, 2], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [0, 0], [0, 0], [0, 0]]]], [[8, 3, 6, 4, 3
], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [0, 0], [0, 0],
[1, 1]]]], [[8, 5, 5, 7, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x <
u^2-2), And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [1
/2, 1/2], [-2, -2]]]], [[8, 5, 5, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), And
(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [1/2, 1/2], [-1092629/2097152, -273157/524288]]]],
[[8, 5, 5, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And
(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/
4194304], [1/2, 1/2], [0, 0]]]], [[8, 5, 5, 7, 4], [v = 1, And(-2^(1/2) < u,u
< -1), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [1/2, 1/2], [273157/524288, 546315/1048576]]]], [[
8, 5, 5, 7, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), And(u
^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [1/2, 1/2],
[2, 2]]]], [[8, 11, 7, 2, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x
< 0), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [-1243255/1048576, -621627/
524288], [-3, -3]]]], [[8, 11, 7, 2, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u
^2-2 < x,x < 0), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-1243255/
1048576, -621627/524288], [-1265743/1048576, -1265743/1048576]]]], [[8, 11, 7,
2, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -u^2-x, And(-
u < z,z < u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
569265/2097152, -569265/2097152], [-1243255/1048576, -621627/524288], [0, 0]]]
], [[8, 11, 7, 2, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y
= -u^2-x, z = u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-569265/2097152, -569265/2097152], [-1243255/1048576, -621627/524288], [
1265743/1048576, 1265743/1048576]]]], [[8, 11, 7, 2, 5], [v = 1, And(1 < u,u <
2^(1/2)), And(u^2-2 < x,x < 0), y = -u^2-x, u < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1243255/1048576, -621627/524288], [3, 3]]]], [[8, 13, 6, 3, 1], [v = 1, And(2^
(1/2) < u,u < 3^(1/2)), x = 0, And(-u^2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [-2594957/
2097152, -2594957/2097152], [-3, -3]]]], [[8, 13, 6, 3, 2], [v = 1, And(2^(1/2
) < u,u < 3^(1/2)), x = 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [-2594957/
2097152, -2594957/2097152], [-1166407/1048576, -583203/524288]]]], [[8, 13, 6,
3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(-u^2 < y,y < 0), And(-
(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [0, 0], [-2594957/2097152, -2594957/2097152], [0, 0]]]], [[8
, 13, 6, 3, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, And(-u^2 < y,y <
0), z = (-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [0, 0], [-2594957/2097152, -2594957/2097152], [583203/524288, 
1166407/1048576]]]], [[8, 13, 6, 3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = 0, And(-u^2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097
/2097152, 3299097/2097152], [0, 0], [-2594957/2097152, -2594957/2097152], [3,
3]]]], [[9, 1, 10, 1, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2
-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288]
, [-17, -17], [-5, -5]]]], [[9, 1, 10, 1, 2], [And(1 < v,v < 2^(1/2)), u < -(v
^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [-17, -17], [-847707/262144, -3390827/1048576]]]], [[9, 1,
10, 1, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*
u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [-17, -17], [0, 0]]]], [[9, 1, 10, 1, 4], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
6860721/1048576, 3430361/524288], [-17, -17], [3390827/1048576, 847707/262144]
]]], [[9, 1, 10, 1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v
^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-17,
-17], [5, 5]]]], [[9, 3, 7, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/2097152, 501965/2097152], [0, 0], [0, 0]]]], [[9, 
13, 6, 4, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v
^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -\
139585/262144], [0, 0], [-2, -2]]]], [[9, 13, 6, 4, 2], [And(1 < v,v < 2^(1/2)
), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [0, 0], [-765155/1048576
, -1530309/2097152]]]], [[9, 13, 6, 4, 3], [And(1 < v,v < 2^(1/2)), And(v < u,
u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^
2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [0, 0],
[-1/4194304, -1/4194304]]]], [[9, 13, 6, 4, 4], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [0, 0], [382577/524288, 765155/
1048576]]]], [[9, 13, 6, 4, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [0, 0], [2, 2]]]], [[9, 15, 5, 7, 1], [And(1
< v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0),
And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [1550541/
2097152, 1550541/2097152], [0, 0]]]], [[10, 1, 9, 5, 1], [v = 2^(1/2), u < -2,
And(1 < x,x < u^2-3), And(-x < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-7/4, -7/4], [0, 0]]]], [[10,
3, 7, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y <
-u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-4
, -4], [-3, -3]]]], [[10, 3, 7, 1, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
And(0 < x,x < u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467
/2097152, 505467/2097152], [-4, -4], [-32527793/16777216, -2032987/1048576]]]]
, [[10, 3, 7, 1, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2
-3), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [
505467/2097152, 505467/2097152], [-4, -4], [0, 0]]]], [[10, 3, 7, 1, 4], [v =
2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y < -u^2-x+1, z = (-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [-4, -4], [
2032987/1048576, 508247/262144]]]], [[10, 3, 7, 1, 5], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), And(0 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [-4, -4], [3, 3]]]], [[10, 9, 6, 5
, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, And(0 < y,y < -u^2+1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [3/8,
3/8], [0, 0]]]], [[10, 11, 4, 1, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y
< u^2-2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [-1, -1], [-3, -3], [-3, -3]]]], [[10, 11, 4, 1, 2], [v = 2^(1/2),
And(0 < u,u < 1), x = -1, y < u^2-2, z = -(1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-3, -3], [-2, -2]]]],
[[10, 11, 4, 1, 3], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y < u^2-2, And(-(1
-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [-3, -3], [0, 0]]]], [[10, 11, 4, 1, 4], [v =
2^(1/2), And(0 < u,u < 1), x = -1, y < u^2-2, z = (1-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-3, -3], [2, 2]]]]
, [[10, 11, 4, 1, 5], [v = 2^(1/2), And(0 < u,u < 1), x = -1, y < u^2-2, (1-y)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-\
1, -1], [-3, -3], [3, 3]]]], [[10, 15, 4, 4, 1], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0], [-2, -2]]]], [
[10, 15, 4, 4, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = 0, z = -1
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[10, 15, 4, 4, 3], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1,
-1], [0, 0], [0, 0]]]], [[10, 15, 4, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2
)), x = -1, y = 0, z = 1], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-1, -1], [0, 0], [1, 1]]]], [[10, 15, 4,
4, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [0, 0], [2, 2]]]], [[10, 17, 3, 7, 1], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(-x < y,y < u^2-x-3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [2078331/1048576, 2078331/
1048576], [0, 0]]]], [[10, 19, 1, 9, 1], [v = 2^(1/2), 2 < u, x < -u^2+1, u^2-
x-3 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-\
9, -9], [16, 16], [0, 0]]]], [[11, 1, 8, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/
2), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3
, 3], [-5, -5], [1, 1], [-19/2, -19/2], [-4, -4]]]], [[11, 1, 8, 3, 2], [2^(1/
2) < v, u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/
2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-19/2, -19/2], [-24456785/
8388608, -1528549/524288]]]], [[11, 1, 8, 3, 3], [2^(1/2) < v, u < -(v^2+2)^(1
/2), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-19/2, -19/2], [0, 0]]]], [[11
, 1, 8, 3, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y <
-1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1, 1], [-19/2, -19
/2], [1528549/524288, 3057099/1048576]]]], [[11, 1, 8, 3, 5], [2^(1/2) < v, u
< -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [-19/2, -19/2], [4, 4]]]], [[11, 5,
5, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2
-1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-\
1552149/4194304, -1552149/4194304], [-3, -3]]]], [[11, 5, 5, 3, 2], [2^(1/2) <
v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1579769/2097152, -1579769/2097152], [-1552149/4194304, -\
1552149/4194304], [-1111369/1048576, -138921/131072]]]], [[11, 5, 5, 3, 3], [2
^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(-u^
2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/
2097152], [-1552149/4194304, -1552149/4194304], [0, 0]]]], [[11, 5, 5, 3, 4],
[2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(-
u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-1552149/
4194304, -1552149/4194304], [138921/131072, 1111369/1048576]]]], [[11, 5, 5, 3
, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1),
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-\
1552149/4194304, -1552149/4194304], [3, 3]]]], [[11, 7, 6, 2, 1], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-129143/262144, -516571/1048576], [-1064009/1048576, -133001/131072], [-3, -3
]]]], [[11, 7, 6, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^
2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-\
1064009/1048576, -133001/131072], [-1287385/1048576, -160923/131072]]]], [[11,
7, 6, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y =
2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144,
-516571/1048576], [-1064009/1048576, -133001/131072], [0, 0]]]], [[11, 7, 6, 2
, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-\
2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [-1064009/1048576, -\
133001/131072], [160923/131072, 1287385/1048576]]]], [[11, 7, 6, 2, 5], [2^(1/
2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2
+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [-1064009/1048576, -133001/131072
], [3, 3]]]], [[11, 12, 9, 3, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, And(
-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[11, 12, 9, 3, 2], [
2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [-7/2, -7/2
], [-1284239/1048576, -642119/524288]]]], [[11, 12, 9, 3, 3], [2^(1/2) < v, u
= (v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [-7/
2, -7/2], [0, 0]]]], [[11, 12, 9, 3, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 <
x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]
], [[11, 12, 9, 3, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, And(-x-3 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/
4096], [2, 2], [-7/2, -7/2], [3, 3]]]], [[11, 14, 8, 2, 1], [2^(1/2) < v, u =
(v^2-1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[11, 14, 8, 2, 2], [
2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-3, -3], [-1482911/1048576
, -741455/524288]]]], [[11, 14, 8, 2, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [1, 1], [-3, -3], [0, 0]]]], [[11, 14, 8, 2, 4], [2^
(1/2) < v, u = (v^2-1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [1, 1], [-3, -3], [741455/524288, 
1482911/1048576]]]], [[11, 14, 8, 2, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
1, y = -3, 2^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1, 1], [-3, -3], [3, 3]]]], [[11, 18, 8, 7, 1], [2^(1/2) < v, u = (
v^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1, 1], [1, 1], [0, 0]]]], [[11, 20, 6, 3, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [-3/2, -3/2], [-3, -3]]]],
[[11, 20, 6, 3, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0),
z = -(-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[11, 20, 6, 3, 3
], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [0, 0], [-3/2, -3/2], [0, 0]]]], [[11, 20, 6, 3, 4], [2^(1/2) < v, u
= (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[
3, 3], [3477733/1048576, 1738867/524288], [0, 0], [-3/2, -3/2], [642119/524288
, 1284239/1048576]]]], [[11, 20, 6, 3, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x
= 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [0, 0], [-3/2, -3/2], [3, 3]]]], [[1, 5, 5, 9, 1], [
v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), -x < y
, z = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1579769/2097152, -1579769/2097152], [2, 2], [0, 0]]]], [[1, 7, 6, 4, 1], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [-2, -2]]]], [[1, 7, 6, 4, 2], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [-735979/1048576, -1471957/2097152]]]
], [[1, 7, 6, 4, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^
2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/
1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 7, 6, 4, 4], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [0, 0], [367989/524288, 735979/1048576]]]], [[1, 7,
6, 4, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-129143/262144, -516571/1048576], [0, 0], [2, 2]]]], [[1, 11, 3, 8
, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [-11
/2, -11/2], [27/2, 27/2], [0, 0]]]], [[1, 12, 9, 7, 1], [v < -2^(1/2), u = (v^
2-2)^(1/2), 1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [2, 2], [-1/2, -1/2], [0, 0]]]], [[1, 18, 9, 6,
1], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[
-3, -3], [207243/65536, 3315889/1048576], [2, 2], [0, 0], [0, 0]]]], [[1, 20,
6, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [1/2, 1/2
], [0, 0]]]], [[2, 3, 1, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -
u^2+1, u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3913339/2097152, -3913339/2097152], [-4, -4], [6, 6], [0, 0]]]], [[2, 4,
9, 6, 1], [v = -2^(1/2), u = -3^(1/2), 1 < x, y = 0, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2,
2], [0, 0], [0, 0]]]], [[2, 7, 3, 4, 1], [v = -2^(1/2), And(v < u,u < -1), And
(u^2-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [0, 0], [-3, -3]]]], [[2, 7, 3, 4, 2], [v = -2^(1/
2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [0, 0], [-591179/
524288, -1182357/1048576]]]], [[2, 7, 3, 4, 3], [v = -2^(1/2), And(v < u,u < -\
1), And(u^2-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [0, 0], [0, 0]]]], [[2
, 7, 3, 4, 4], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [0,
0], [1182357/1048576, 591179/524288]]]], [[2, 7, 3, 4, 5], [v = -2^(1/2), And(
v < u,u < -1), And(u^2-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [0, 0], [3, 3]]]], [[2, 9, 2, 1, 1], [v =
-2^(1/2), And(-1 < u,u < 0), x = u^2-3, y < 0, z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/
4], [-1, -1], [-3, -3]]]], [[2, 9, 2, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0),
x = u^2-3, y < 0, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1/2, -1/2], [-11/4, -11/4], [-1, -1], [-8122235/4194304, -\
16244469/8388608]]]], [[2, 9, 2, 1, 3], [v = -2^(1/2), And(-1 < u,u < 0), x =
u^2-3, y < 0, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/4], [-1, -1],
[-5/16777216, -5/16777216]]]], [[2, 9, 2, 1, 4], [v = -2^(1/2), And(-1 < u,u <
0), x = u^2-3, y < 0, z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11/4], [-1, -1], [1015279/
524288, 2030559/1048576]]]], [[2, 9, 2, 1, 5], [v = -2^(1/2), And(-1 < u,u < 0
), x = u^2-3, y < 0, (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-11/4, -11/4], [-1, -1], [3, 3]]]], [[2, 12,
8, 1, 1], [v = -2^(1/2), u = 1, x = 1, y < -3, z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1], [-4, -4],
[-3, -3]]]], [[2, 12, 8, 1, 2], [v = -2^(1/2), u = 1, x = 1, y < -3, z = -(-y-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1]
, [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 8, 1, 3], [v = -
2^(1/2), u = 1, x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1], [-4, -4],
[-1/4194304, -1/4194304]]]], [[2, 12, 8, 1, 4], [v = -2^(1/2), u = 1, x = 1, y
< -3, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1, 1], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[2, 12, 8, 1,
5], [v = -2^(1/2), u = 1, x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [1, 1], [-4, -4], [3, 3]]]], [[2, 
14, 6, 5, 1], [v = -2^(1/2), u = -v, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[3, 1, 3, 5, 1], [And(-2^(1/2) < v
,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-10006449/2097152, -10006449/2097152], [625403/262144, 625403/262144], [
-3, -3]]]], [[3, 1, 3, 5, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [625403/262144, 625403/262144], [-3239217/2097152
, -202451/131072]]]], [[3, 1, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2
)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [-10006449/2097152, -10006449/2097152], [625403/262144, 625403/262144],
[0, 0]]]], [[3, 1, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [625403/262144, 625403/262144], [202451/131072, 
1619609/1048576]]]], [[3, 1, 3, 5, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [625403/262144, 625403/262144], [3, 3]]]], [[3, 2
, 9, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y = -x, z <
0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [2, 2], [-2, -2], [-1, -1]]]], [[3, 2, 9, 4, 2], [And(-2^(1
/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2,
2], [-2, -2], [0, 0]]]], [[3, 2, 9, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^
2+2)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-2, -2], [1,
1]]]], [[3, 7, 1, 2, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [0
, 0], [-3, -3]]]], [[3, 7, 1, 2, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[3, 7, 1, 2, 3], [And(-
2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, And(
-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [0, 0], [-1/4194304
, -1/4194304]]]], [[3, 7, 1, 2, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -
(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [0, 0], [908093/524288, 1816187/1048576]]]], [[3, 7, 1, 2, 5], [And(-2^(1
/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [0, 0], [3, 3]]]], [[3, 8, 8, 6, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [0, 0], [0, 0]]]], [[4, 1, 2, 6, 1], [v = -1, u < -3^(
1/2), x = -u^2, y = 2*u^2-2, z = z], [regular_chain, [[-1, -1], [-3, -3], [-9,
-9], [16, 16], [0, 0]]]], [[4, 2, 8, 5, 1], [v = -1, u = -3^(1/2), x = 1, And(
-1 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 6, 7, 5, 1], [v = -1, u = -1,
1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [-1, -1], [2, 2],
[-1, -1], [0, 0]]]], [[4, 8, 8, 2, 1], [v = -1, u = 0, x = 1, y = -3, z < -2^(
1/2)], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-3, -3], [-3, -3]]]], [[4,
8, 8, 2, 2], [v = -1, u = 0, x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[-\
1, -1], [0, 0], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[4,
8, 8, 2, 3], [v = -1, u = 0, x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1, -1], [0, 0], [1, 1], [-3, -3], [0, 0]]]], [[4, 8, 8, 2, 4
], [v = -1, u = 0, x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[-1, -1], [0,
0], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[4, 8, 8, 2, 5], [
v = -1, u = 0, x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-1, -1], [0, 0],
[1, 1], [-3, -3], [3, 3]]]], [[4, 14, 6, 3, 1], [v = -1, u = 3^(1/2), x = 0, 
And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288
, 1816187/1048576], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[4, 14, 6, 3, 2], [v =
-1, u = 3^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [
[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[4, 14, 6, 3, 3], [v = -1, u = 3^(1/2), x = 0, 
And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [0, 0], [-3/2, -3/2], [0, 0]]]], [[4, 
14, 6, 3, 4], [v = -1, u = 3^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [0, 0], [-3/2, -3
/2], [642119/524288, 1284239/1048576]]]], [[4, 14, 6, 3, 5], [v = -1, u = 3^(1
/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [0, 0], [-3/2, -3/2], [3, 3]]]], [[5, 1, 3, 4
, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y =
0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8],
[0, 0], [-4, -4]]]], [[5, 1, 3, 4, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-3, -3], [-43/8, -43/8], [0, 0], [-151939/65536, -2431023/1048576]]]],
[[5, 1, 3, 4, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1
/2], [-3, -3], [-43/8, -43/8], [0, 0], [0, 0]]]], [[5, 1, 3, 4, 4], [And(-1 <
v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [0, 0], [2431023/
1048576, 151939/65536]]]], [[5, 1, 3, 4, 5], [And(-1 < v,v < 0), u < -(v^2+2)^
(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [-3, -3], [-43/8, -43/8], [0, 0], [4, 4]]]], [[5, 4, 9, 6, 1], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [
[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [0, 0], [0, 0]]]], [
[5, 7, 1, 3, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(0 <
y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0],
[-3, -3], [7/8, 7/8], [-3, -3]]]], [[5, 7, 1, 3, 2], [And(-1 < v,v < 0), And(v
< u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [7/8, 7/8], [-764275/524288, -\
1528549/1048576]]]], [[5, 7, 1, 3, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [7/8, 7/8], [0, 0]]]],
[[5, 7, 1, 3, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(0
< y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0]
, [-3, -3], [7/8, 7/8], [1528549/1048576, 764275/524288]]]], [[5, 7, 1, 3, 5],
[And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-\
1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [7/8,
7/8], [3, 3]]]], [[5, 9, 3, 6, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^
(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/1048576, 159059/262144], [-2, -2]]]], [[5,
9, 3, 6, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [636235/1048576, 159059/262144], [-1618333/2097152, -3236665/4194304
]]]], [[5, 9, 3, 6, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^
2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [636235/1048576, 159059/262144
], [-1/8388608, -1/8388608]]]], [[5, 9, 3, 6, 4], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152
], [-2521309/2097152, -2521309/2097152], [636235/1048576, 159059/262144], [
404583/524288, 809167/1048576]]]], [[5, 9, 3, 6, 5], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [636235/1048576, 159059/262144
], [2, 2]]]], [[5, 11, 2, 3, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(
1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-\
2583195/1048576, -1291597/524288], [1291597/1048576, 1291597/1048576], [-3, -3
]]]], [[5, 11, 2, 3, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/1048576, 1291597/1048576], [-1163761/
1048576, -72735/65536]]]], [[5, 11, 2, 3, 3], [And(-1 < v,v < 0), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(
u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2
], [343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [
1291597/1048576, 1291597/1048576], [0, 0]]]], [[5, 11, 2, 3, 4], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y <
u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-2583195/1048576, -1291597/524288], [1291597/1048576,
1291597/1048576], [72735/65536, 1163761/1048576]]]], [[5, 11, 2, 3, 5], [And(-\
1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-2583195/1048576, -1291597/524288], [1291597/
1048576, 1291597/1048576], [3, 3]]]], [[6, 1, 6, 7, 1], [v = 0, u < -2^(1/2),
x = 0, u^2-1 < y, z = z], [regular_chain, [[0, 0], [-3, -3], [0, 0], [9, 9], [
0, 0]]]], [[6, 3, 3, 8, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x
< -1), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1812519/1048576, -1812519/1048576], [2291829/1048576, 
1145915/524288], [0, 0]]]], [[6, 9, 3, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)),
And(-u^2-1 < x,x < -1), And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [-1812519/1048576, -1812519/1048576],
[1026087/524288, 1026087/524288], [0, 0]]]], [[6, 10, 9, 6, 1], [v = 0, u = 2^
(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [2, 2], [-1, -1], [0, 0]]]], [[7, 3, 5, 1, 1], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+
v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[7, 3, 5, 1, 2], [And(0
< v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y <
-u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144
, -343151/262144], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]
]], [[7, 3, 5, 1, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2,
-1/2], [-3, -3], [0, 0]]]], [[7, 3, 5, 1, 4], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2,
-1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[7, 3, 5, 1, 5], [And(0
< v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[7, 5, 3, 9, 1], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), -x < y,
z = z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [3, 3], [0, 0]]]], [[8, 1, 8, 1, 1], [v =
1, u < -3^(1/2), x = 1, y < -u^2-1, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1
], [-3, -3], [1, 1], [-11, -11], [-5, -5]]]], [[8, 1, 8, 1, 2], [v = 1, u < -3
^(1/2), x = 1, y < -u^2-1, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-3, -\
3], [1, 1], [-11, -11], [-3315889/1048576, -207243/65536]]]], [[8, 1, 8, 1, 3]
, [v = 1, u < -3^(1/2), x = 1, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1
/2))], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-11, -11], [0, 0]]]], [[8,
1, 8, 1, 4], [v = 1, u < -3^(1/2), x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [1, 1], [-11, -11], [207243/65536, 3315889/
1048576]]]], [[8, 1, 8, 1, 5], [v = 1, u < -3^(1/2), x = 1, y < -u^2-1, (-y-1)
^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [1, 1], [-11, -11], [5, 5]]]],
[[8, 3, 5, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[8, 3, 5, 4, 2], [v = 1, And(-3^
(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [0
, 0], [-1482911/2097152, -741455/1048576]]]], [[8, 3, 5, 4, 3], [v = 1, And(-3
^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1
/2, -1/2], [0, 0], [0, 0]]]], [[8, 3, 5, 4, 4], [v = 1, And(-3^(1/2) < u,u < -
2^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [0, 0], [741455/1048576, 
46341/65536]]]], [[8, 3, 5, 4, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And
(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [0, 0], [2, 2]]]], [[8, 7, 5, 7, 1],
[v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(-u^2-x < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [1/2, 1/2]
, [-2, -2]]]], [[8, 7, 5, 7, 2], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^
2), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2
, -1/2], [-5/8, -5/8], [1/2, 1/2], [-46341/131072, -370727/1048576]]]], [[8, 7
, 5, 7, 3], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(-u^2-x < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1/
2, -1/2], [-5/8, -5/8], [1/2, 1/2], [0, 0]]]], [[8, 7, 5, 7, 4], [v = 1, And(-\
1 < u,u < 0), And(-1 < x,x < -u^2), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [1/2, 1/2], [370727/
1048576, 46341/131072]]]], [[8, 7, 5, 7, 5], [v = 1, And(-1 < u,u < 0), And(-1
< x,x < -u^2), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1,
1], [-1/2, -1/2], [-5/8, -5/8], [1/2, 1/2], [2, 2]]]], [[8, 9, 5, 1, 1], [v =
1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y < u^2-x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-3, -3], [-3, -3]]]], [[8,
9, 5, 1, 2], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y < u^2-x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-3, -3], [
-7985717/4194304, -15971433/8388608]]]], [[8, 9, 5, 1, 3], [v = 1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-3, -3], [-1/16777216
, -1/16777216]]]], [[8, 9, 5, 1, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x <
-u^2), y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-\
5/8, -5/8], [-3, -3], [1996429/1048576, 998215/524288]]]], [[8, 9, 5, 1, 5], [
v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y < u^2-x-2, (-x-y)^(1/2) < z],
[regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-3, -3], [3, 3]]]], [[8, 
15, 2, 7, 1], [v = 1, 3^(1/2) < u, x = -u^2, 2*u^2-2 < y, z = z], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [17, 17], [0, 0]]]], [[9, 1, 9, 1, 1
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-14, -14], [-5, -5]]]
], [[9, 1, 9, 1, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x
< u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-14,
-14], [-104799/32768, -3353567/1048576]]]], [[9, 1, 9, 1, 3], [And(1 < v,v < 2
^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-14, -14], [0
, 0]]]], [[9, 1, 9, 1, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1
< x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152
], [-14, -14], [3353567/1048576, 104799/32768]]]], [[9, 1, 9, 1, 5], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1
, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [7909297/2097152, 7909297/2097152], [-14, -14], [5, 5]]]], [[9, 5, 5, 8,
1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^
2-v^2-1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [
803457/1048576, 401729/524288], [-1, -1]]]], [[9, 5, 5, 8, 2], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -x, z
= 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-3213831/4194304, -3213831/4194304], [803457/1048576, 
401729/524288], [0, 0]]]], [[9, 5, 5, 8, 3], [And(1 < v,v < 2^(1/2)), And(-(v^
2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [803457/1048576, 
401729/524288], [1, 1]]]], [[9, 7, 6, 7, 1], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [2, 2], [0, 0]]]], [[9, 9, 7, 3, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+
v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [
-6111545/4194304, -6111545/4194304], [-3, -3]]]], [[9, 9, 7, 3, 2], [And(1 < v
,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v
^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [
-6111545/4194304, -6111545/4194304], [-1162243/1048576, -581121/524288]]]], [[
9, 9, 7, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1
/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [239655/1048576, 239655/1048576], [-6111545/4194304, -6111545/4194304]
, [0, 0]]]], [[9, 9, 7, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u
,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[239655/1048576, 239655/1048576], [-6111545/4194304, -6111545/4194304], [
581121/524288, 1162243/1048576]]]], [[9, 9, 7, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-
v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [-6111545/4194304,
-6111545/4194304], [3, 3]]]], [[9, 11, 6, 4, 1], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [0, 0], [-2, -2]]]], [[9, 11, 6,
4, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1,
y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576],
[0, 0], [-1374407/2097152, -687203/1048576]]]], [[9, 11, 6, 4, 3], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, And(-(u^2-v
^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371/
1048576], [0, 0], [0, 0]]]], [[9, 11, 6, 4, 4], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [0, 0], [687203/1048576, 171801/
262144]]]], [[9, 11, 6, 4, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,
u < v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/
262144, -450371/1048576], [0, 0], [2, 2]]]], [[9, 15, 6, 7, 1], [And(1 < v,v <
2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, u^2-v^2-1 < y, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [0, 0], [2, 2], [0, 0]]]], [[9, 17, 4, 3, 1], [And(1 < v,v < 2
^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-\
7909297/2097152, -7909297/2097152], [-4, -4]]]], [[9, 17, 4, 3, 2], [And(1 < v
,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1],
[-7909297/2097152, -7909297/2097152], [-286309/131072, -2290471/1048576]]]], [
[9, 17, 4, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(-u^2
+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-7909297/2097152, -\
7909297/2097152], [0, 0]]]], [[9, 17, 4, 3, 4], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [-\
7909297/2097152, -7909297/2097152], [2290471/1048576, 286309/131072]]]], [[9,
17, 4, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-1, -1], [-7909297/2097152, -7909297/2097152], [4, 4]]]], [
[10, 5, 7, 4, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0)
, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/
4194304], [-275385/1048576, -34423/131072], [-2, -2]]]], [[10, 5, 7, 4, 2], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = u^2-x-3, z = -(
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-275385/
1048576, -34423/131072], [-379975/524288, -1519899/2097152]]]], [[10, 5, 7, 4,
3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = u^2-x-3,
And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [-275385/1048576, -34423/131072], [-1/4194304, -1/4194304]]]
], [[10, 5, 7, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x
< 0), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [-275385/1048576, -34423/131072], [759949/1048576, 379975/
524288]]]], [[10, 5, 7, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2
-3 < x,x < 0), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [-275385/1048576, -34423/131072], [2, 2]]]], [[10,
7, 8, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(u^2-3 < y,y < -u^2+1
), z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[10, 7, 8,
3, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(u^2-3 < y,y < -u^2+1), z =
-(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[10, 7, 8, 3, 3],
[v = 2^(1/2), And(-v < u,u < -1), x = 0, And(u^2-3 < y,y < -u^2+1), And(-(-y)^
(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[10, 7, 8,
3, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(u^2-3 < y,y < -u^2+1), z =
(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[10, 7, 8, 3, 5], [v
= 2^(1/2), And(-v < u,u < -1), x = 0, And(u^2-3 < y,y < -u^2+1), (-y)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [2, 2]]]], [[10, 11, 5, 1, 1], [v = 2^(1/2
), And(0 < u,u < 1), And(-1 < x,x < 0), y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-\
4, -4], [-4, -4]]]], [[10, 11, 5, 1, 2], [v = 2^(1/2), And(0 < u,u < 1), And(-\
1 < x,x < 0), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-4, -4], [-1112183/524288, -\
2224365/1048576]]]], [[10, 11, 5, 1, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-\
1 < x,x < 0), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-\
4, -4], [0, 0]]]], [[10, 11, 5, 1, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-1
< x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-4, -4], [2224365/1048576, 
1112183/524288]]]], [[10, 11, 5, 1, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-1
< x,x < 0), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[10, 13, 4,
4, 1], [v = 2^(1/2), And(1 < u,u < v), x = -1, y = 0, z < -1], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [0, 0], [-2, -2]]]], [[10, 13, 4, 4, 2], [v = 2^(1/2), And(1 < u,u < v), x
= -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[10, 13, 4,
4, 3], [v = 2^(1/2), And(1 < u,u < v), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[10, 13, 4, 4, 4], [v = 2^(1/2), And(1
< u,u < v), x = -1, y = 0, z = 1], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[
10, 13, 4, 4, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, y = 0, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[11, 3, 4, 7, 1], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(1 < y,y < u^2-v^2), z = z],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [
653799/524288, 653799/524288], [0, 0]]]], [[11, 5, 4, 1, 1], [2^(1/2) < v, And
(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1], [-2, -2],
[-3, -3]]]], [[11, 5, 4, 1, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[11, 5, 4, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-1, -1], [-2, -2], [-1/4194304, -1
/4194304]]]], [[11, 5, 4, 1, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]
]], [[11, 5, 4, 1, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y
< -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1, -1], [-2, -2], [3, 3]]]], [[11, 9, 4, 6, 1], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 1, z < 0], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [1,
1], [-1, -1]]]], [[11, 9, 4, 6, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [1, 1], [0, 0]]]], [[11, 9, 4, 6, 3], [
2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 1, 0 < z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [
1, 1], [1, 1]]]], [[11, 11, 1, 9, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), x < u^2-v^2-1, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3,
3], [0, 0], [-11, -11], [20, 20], [0, 0]]]], [[11, 16, 6, 2, 1], [2^(1/2) < v,
u = v, x = 1, y = -2, z < -1], [regular_chain, [[3, 3], [3, 3], [1, 1], [-2, -\
2], [-2, -2]]]], [[11, 16, 6, 2, 2], [2^(1/2) < v, u = v, x = 1, y = -2, z = -\
1], [regular_chain, [[3, 3], [3, 3], [1, 1], [-2, -2], [-1, -1]]]], [[11, 16,
6, 2, 3], [2^(1/2) < v, u = v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [-2, -2], [0, 0]]]], [[11, 16, 6, 2, 4
], [2^(1/2) < v, u = v, x = 1, y = -2, z = 1], [regular_chain, [[3, 3], [3, 3]
, [1, 1], [-2, -2], [1, 1]]]], [[11, 16, 6, 2, 5], [2^(1/2) < v, u = v, x = 1,
y = -2, 1 < z], [regular_chain, [[3, 3], [3, 3], [1, 1], [-2, -2], [2, 2]]]],
[[11, 18, 7, 3, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-\
2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[11, 18, 7, 3, 2], [
2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2,
1/2], [-3/2, -3/2], [-1, -1]]]], [[11, 18, 7, 3, 3], [2^(1/2) < v, u = (v^2+1)
^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/
2], [-3/2, -3/2], [0, 0]]]], [[11, 18, 7, 3, 4], [2^(1/2) < v, u = (v^2+1)^(1/
2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]],
[[11, 18, 7, 3, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-\
2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[1, 1, 10, 1, 1], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [-33, -33], [-6, -\
6]]]], [[1, 1, 10, 1, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y
< -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5
], [15, 15], [-33, -33], [-1112183/262144, -4448731/1048576]]]], [[1, 1, 10, 1
, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(
-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3
], [-5, -5], [15, 15], [-33, -33], [0, 0]]]], [[1, 1, 10, 1, 4], [v < -2^(1/2)
, u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2
)], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [-33, -33], [4448731/
1048576, 1112183/262144]]]], [[1, 1, 10, 1, 5], [v < -2^(1/2), u < -(v^2+2)^(1
/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-5, -5], [15, 15], [-33, -33], [6, 6]]]], [[1, 3, 7
, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,
x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288],
[-5748437/2097152, -1437109/524288], [-3, -3]]]], [[1, 3, 7, 2, 2], [v < -2^(1
/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y =
-u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/524288, 129511/524288], [-5748437/2097152,
-1437109/524288], [-1655969/1048576, -3311937/2097152]]]], [[1, 3, 7, 2, 3], [
v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^
2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288
, 129511/524288], [-5748437/2097152, -1437109/524288], [-1/4194304, -1/4194304
]]]], [[1, 3, 7, 2, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288
, 129511/524288], [-5748437/2097152, -1437109/524288], [51749/32768, 1655969/
1048576]]]], [[1, 3, 7, 2, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/
524288, 129511/524288], [-5748437/2097152, -1437109/524288], [3, 3]]]], [[1, 7
, 8, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [-3161161/2097152, -395145/262144], [-3, -3]]]], [[1
, 7, 8, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^
2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [-3161161/2097152, -395145/262144], [-1287385/
1048576, -160923/131072]]]], [[1, 7, 8, 2, 3], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2
+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[0, 0], [-3161161/2097152, -395145/262144], [0, 0]]]], [[1, 7, 8, 2, 4], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0,
0], [-3161161/2097152, -395145/262144], [160923/131072, 1287385/1048576]]]], [
[1, 7, 8, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-
v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [0, 0], [-3161161/2097152, -395145/262144], [3, 3]]]], [[1,
9, 7, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0
< x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152
], [-4, -4], [-3, -3]]]], [[1, 9, 7, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[533035/2097152, 533035/2097152], [-4, -4], [-8117717/4194304, -16235433/
8388608]]]], [[1, 9, 7, 1, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/2097152, 533035/2097152], [-4, -4], [-1/16777216, -1/
16777216]]]], [[1, 9, 7, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^
2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-4, -4], [2029429/1048576, 1014715/524288]]]], [[1,
9, 7, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0
< x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152],
[-4, -4], [3, 3]]]], [[1, 15, 1, 4, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [
1565147/1048576, 391287/262144], [-3, -3]]]], [[1, 15, 1, 4, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
3, -3], [1565147/1048576, 391287/262144], [-1287385/1048576, -160923/131072]]]
], [[1, 15, 1, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^
2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [
1565147/1048576, 391287/262144], [0, 0]]]], [[1, 15, 1, 4, 4], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3,
-3], [1565147/1048576, 391287/262144], [160923/131072, 1287385/1048576]]]], [[
1, 15, 1, 4, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1,
y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [1565147/1048576, 391287/262144], [3, 3]]
]], [[1, 17, 1, 8, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+
v^2-1, y = -x, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [3, 3], [-1, -1]]]], [[1, 17, 1, 8, 2], [v < -2^(1/2), And(
-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-\
3, -3], [403851/131072, 403851/131072], [-3, -3], [3, 3], [0, 0]]]], [[1, 17,
1, 8, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x
, 0 < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3],
[3, 3], [1, 1]]]], [[1, 20, 8, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1,
And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[1, 20, 8, 3, 2]
, [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/
2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [-5
/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[1, 20, 8, 3, 3], [v < -2^(
1/2), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[1, 1], [-5/2, -5/2], [0, 0]]]], [[1, 20, 8, 3, 4], [v < -2^(1/2), u = (v^2+2)
^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3
], [3477733/1048576, 1738867/524288], [1, 1], [-5/2, -5/2], [642119/524288, 
1284239/1048576]]]], [[1, 20, 8, 3, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x =
1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [1, 1], [-5/2, -5/2], [3, 3]]]], [[2, 1, 5, 2, 1], [
v = -2^(1/2), u < -2, And(-1 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-\
15/2, -15/2], [-4, -4]]]], [[2, 1, 5, 2, 2], [v = -2^(1/2), u < -2, And(-1 < x
,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3, -3], [-1/2, -1/2], [-15/2, -15/2], [-2965821/1048576,
-11863283/4194304]]]], [[2, 1, 5, 2, 3], [v = -2^(1/2), u < -2, And(-1 < x,x <
0), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [-15/2, -15/2], [
-3/8388608, -3/8388608]]]], [[2, 1, 5, 2, 4], [v = -2^(1/2), u < -2, And(-1 <
x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3, -3], [-1/2, -1/2], [-15/2, -15/2], [741455/262144, 
2965821/1048576]]]], [[2, 1, 5, 2, 5], [v = -2^(1/2), u < -2, And(-1 < x,x < 0
), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-1/2, -1/2], [-15/2, -15/2], [4, 4]]]], [[2, 10, 7,
8, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1), y = 1-x, z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [1/2, 1/2], [0, 0]]
]], [[2, 12, 5, 6, 1], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), y = -x, z < 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [
1/2, 1/2], [-1, -1]]]], [[2, 12, 5, 6, 2], [v = -2^(1/2), u = 1, And(-1 < x,x
< 0), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[2, 12, 5, 6, 3], [v = -2^(1/2), u =
1, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 16, 7, 3, 1]
, [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[2, 16, 7, 3
, 2], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[2, 16, 7, 3
, 3], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-3/2, -3/2], [0
, 0]]]], [[2, 16, 7, 3, 4], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(
-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-3/2, -3/2], [1
, 1]]]], [[2, 16, 7, 3, 5], [v = -2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(
-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [1/2, 1/2], [-3/2, -3/2], [2
, 2]]]], [[2, 18, 4, 6, 1], [v = -2^(1/2), u = 2, x = -1, y = 1, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1, 1],
[-1, -1]]]], [[2, 18, 4, 6, 2], [v = -2^(1/2), u = 2, x = -1, y = 1, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1, 1],
[0, 0]]]], [[2, 18, 4, 6, 3], [v = -2^(1/2), u = 2, x = -1, y = 1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [1, 1],
[1, 1]]]], [[3, 4, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 
And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-\
1/4, -1/4], [0, 0]]]], [[3, 6, 6, 2, 1], [And(-2^(1/2) < v,v < -1), u = v, x =
1, y = -2, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[3, 6, 6,
2, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y = -2, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[3, 6, 6, 2, 3], [And(-2^(1/
2) < v,v < -1), u = v, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1,
1], [-2, -2], [0, 0]]]], [[3, 6, 6, 2, 4], [And(-2^(1/2) < v,v < -1), u = v, x
= 1, y = -2, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[3, 6, 6, 2,
5], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y = -2, 1 < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1
, 1], [-2, -2], [2, 2]]]], [[3, 10, 7, 4, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-1/2
, -1/2], [-1, -1]]]], [[3, 10, 7, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1
)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-1/2, -1/2],
[0, 0]]]], [[3, 10, 7, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [354469/524288, 708939/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]
], [[3, 12, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y < -2, z < -(
-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[3, 12, 6, 1, 2], [
And(-2^(1/2) < v,v < -1), u = -v, x = 1, y < -2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[3
, 12, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y < -2, And(-(-y-1)^
(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [1, 1], [-3, -3], [0, 0]]]], [[3
, 12, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y < -2, z = (-y-1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576
, 1265743/1048576], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[3
, 12, 6, 1, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 1, y < -2, (-y-1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576,
1265743/1048576], [1, 1], [-3, -3], [3, 3]]]], [[3, 14, 8, 7, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1, 1],
[1, 1], [0, 0]]]], [[3, 16, 5, 8, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [3/2, 3/2],
[0, 0]]]], [[4, 3, 1, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2
, And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-4, -4], [1599345/2097152, 1599345/
2097152], [-3, -3]]]], [[4, 3, 1, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-4, -4], [1599345/2097152, 1599345
/2097152], [-3773343/2097152, -7546685/4194304]]]], [[4, 3, 1, 3, 3], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-4, -4], [1599345/2097152, 1599345/2097152], [-1/8388608, -\
1/8388608]]]], [[4, 3, 1, 3, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x <
-u^2, And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-4, -4], [1599345/2097152, 1599345/
2097152], [1886671/1048576, 117917/65536]]]], [[4, 3, 1, 3, 5], [v = -1, And(-
3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
1599345/2097152, 1599345/2097152], [3, 3]]]], [[4, 4, 8, 7, 1], [v = -1, u = -
2^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [1, 1], [1, 1], [0, 0]]]], [[4, 11, 1, 8, 1], [v = -1, And(1 <
u,u < 2^(1/2)), x < -u^2, y = -x, z < 0], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[4, 11, 1, 8, 2], [
v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -x, z = 0], [regular_chain, [[-1
, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [3, 3], [0, 0]]]], [[4, 
11, 1, 8, 3], [v = -1, And(1 < u,u < 2^(1/2)), x < -u^2, y = -x, 0 < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3, -3], [3, 3]
, [1, 1]]]], [[4, 12, 9, 5, 1], [v = -1, u = 2^(1/2), 1 < x, And(-x < y,y < 0)
, z = z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [2, 2],
[-1, -1], [0, 0]]]], [[5, 1, 4, 9, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x = -1, u^2-v^2 < y, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1, -1]
, [10, 10], [0, 0]]]], [[5, 3, 1, 8, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [
2340173/524288, 4680347/1048576], [0, 0]]]], [[5, 12, 8, 3, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-5/2, -5/2], [-3, -3]]]], [
[5, 12, 8, 3, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-\
5/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[5, 12, 8, 3, 3], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-5/2
, -5/2], [0, 0]]]], [[5, 12, 8, 3, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
3/2, 3/2], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [[5, 12,
8, 3, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), (-
y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1, 1], [-5/2, -5/
2], [3, 3]]]], [[6, 1, 5, 2, 1], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y =
-u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2]
, [-19/2, -19/2], [-5, -5]]]], [[6, 1, 5, 2, 2], [v = 0, u < -2^(1/2), And(-1
< x,x < 0), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -\
3], [-1/2, -1/2], [-19/2, -19/2], [-3315889/1048576, -207243/65536]]]], [[6, 1
, 5, 2, 3], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y = -u^2-x-1, And(-(u^2+1
)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/
2], [-19/2, -19/2], [0, 0]]]], [[6, 1, 5, 2, 4], [v = 0, u < -2^(1/2), And(-1
< x,x < 0), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3
], [-1/2, -1/2], [-19/2, -19/2], [207243/65536, 3315889/1048576]]]], [[6, 1, 5
, 2, 5], [v = 0, u < -2^(1/2), And(-1 < x,x < 0), y = -u^2-x-1, (u^2+1)^(1/2)
< z], [regular_chain, [[0, 0], [-3, -3], [-1/2, -1/2], [-19/2, -19/2], [5, 5]]
]], [[6, 5, 2, 4, 1], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y = 2*u^2, z < -(
-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1/2, 1/2
], [-2, -2]]]], [[6, 5, 2, 4, 2], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y = 2
*u^2, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4
], [1/2, 1/2], [-1816187/2097152, -3632373/4194304]]]], [[6, 5, 2, 4, 3], [v =
0, And(-1 < u,u < 0), x = -u^2-1, y = 2*u^2, And(-(-u^2+1)^(1/2) < z,z < (-u^2
+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1/2, 1/2],
[-1/8388608, -1/8388608]]]], [[6, 5, 2, 4, 4], [v = 0, And(-1 < u,u < 0), x =
-u^2-1, y = 2*u^2, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2],
[-5/4, -5/4], [1/2, 1/2], [908093/1048576, 454047/524288]]]], [[6, 5, 2, 4, 5]
, [v = 0, And(-1 < u,u < 0), x = -u^2-1, y = 2*u^2, (-u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [1/2, 1/2], [2, 2]]]], [[6
, 7, 3, 1, 1], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y < -u^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-2, -2
], [-3, -3]]]], [[6, 7, 3, 1, 2], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x <
-1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-\
9/8, -9/8], [-2, -2], [-7414553/4194304, -926819/524288]]]], [[6, 7, 3, 1, 3],
[v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y < -u^2-x-1, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8],
[-2, -2], [0, 0]]]], [[6, 7, 3, 1, 4], [v = 0, And(0 < u,u < 1), And(-u^2-1 <
x,x < -1), y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2
], [-9/8, -9/8], [-2, -2], [926819/524288, 1853639/1048576]]]], [[6, 7, 3, 1,
5], [v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), y < -u^2-x-1, (-x-y)^(1/
2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [-2, -2], [3, 3]]]
], [[7, 1, 6, 4, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = 0, z <
0], [regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[7, 1
, 6, 4, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[7, 1, 6, 4,
3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [0, 0], [0, 0], [1, 1]]]], [[7, 3, 3, 5,
1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^
2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576],
[1815885/2097152, 1815885/2097152], [-2, -2]]]], [[7, 3, 3, 5, 2], [And(0 < v,
v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151
/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [1815885/
2097152, 1815885/2097152], [-7805831/8388608, -3902915/4194304]]]], [[7, 3, 3,
5, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2
+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [-3/8388608, -\
3/8388608]]]], [[7, 3, 3, 5, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [60983/65536,
975729/1048576]]]], [[7, 3, 3, 5, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-\
1815885/1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [2, 2]
]]], [[7, 7, 4, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(u^2-v
^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-1, -1
], [-1/8, -1/8], [-3, -3]]]], [[7, 7, 4, 3, 2], [And(0 < v,v < 1), And(-v < u,
u < v), x = -1, And(u^2-v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [0, 0], [-1, -1], [-1/8, -1/8], [-1112183/1048576, -556091/524288]]]
], [[7, 7, 4, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = -1, And(u^2-v^2
< y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2
], [0, 0], [-1, -1], [-1/8, -1/8], [0, 0]]]], [[7, 7, 4, 3, 4], [And(0 < v,v <
1), And(-v < u,u < v), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-1, -1], [-1/8, -1/8], [556091/524288, 
1112183/1048576]]]], [[7, 7, 4, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), x
= -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
0, 0], [-1, -1], [-1/8, -1/8], [3, 3]]]], [[7, 9, 4, 7, 1], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z < -(1-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1],
[736367/1048576, 736367/1048576], [-2, -2]]]], [[7, 9, 4, 7, 2], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z = -(1-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1,
-1], [736367/1048576, 736367/1048576], [-572167/1048576, -1144333/2097152]]]],
[[7, 9, 4, 7, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And
(u^2-v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [736367/1048576, 
736367/1048576], [-1/4194304, -1/4194304]]]], [[7, 9, 4, 7, 4], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1
/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1
], [736367/1048576, 736367/1048576], [286083/524288, 572167/1048576]]]], [[7,
9, 4, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-
v^2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [2, 2]]
]], [[7, 11, 5, 2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-\
8235625/4194304, -32942499/16777216], [-3, -3]]]], [[7, 11, 5, 2, 2], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/16777216],
[-3291611/2097152, -1645805/1048576]]]], [[7, 11, 5, 2, 3], [And(0 < v,v < 1),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/
16777216], [0, 0]]]], [[7, 11, 5, 2, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/
2], [-8235625/4194304, -32942499/16777216], [1645805/1048576, 822903/524288]]]
], [[7, 11, 5, 2, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-\
8235625/4194304, -32942499/16777216], [3, 3]]]], [[7, 13, 2, 5, 1], [And(0 < v
,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2)
, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [109/8, 109/8],
[0, 0]]]], [[8, 3, 6, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, 
And(0 < y,y < u^2-2), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [0, 0], [248903/1048576, 248903/1048576], [0, 0]]]], [[8, 5,
5, 8, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -x, z <
0], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [101115/131072, 808921/1048576], [-1, -1]]]], [[8,
5, 5, 8, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -x,
z = 0], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [0, 0]]]]
, [[8, 5, 5, 8, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y
= -x, 0 < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
-3235683/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [1, 1]]]
], [[8, 11, 7, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y
< -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [-3, -3], [-3, -3]]]], [
[8, 11, 7, 1, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y < -u
^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [-3, -3], [-7586297/4194304, -\
948287/524288]]]], [[8, 11, 7, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-\
2 < x,x < 0), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [-3, -3], [0, 0]]]], [[8, 11, 7, 1, 4], [v = 1, And(1 < u,u
< 2^(1/2)), And(u^2-2 < x,x < 0), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [-3, -3], [948287/524288, 1896575/1048576]]]], [[8, 11, 7, 1
, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y < -u^2-x, (-x-y)
^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
569265/2097152, -569265/2097152], [-3, -3], [3, 3]]]], [[8, 13, 6, 2, 1], [v =
1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = -u^2, z < -u], [regular_chain, [[1
, 1], [3299097/2097152, 3299097/2097152], [0, 0], [-1297479/524288, -2594957/
1048576], [-3, -3]]]], [[8, 13, 6, 2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2))
, x = 0, y = -u^2, z = -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097
/2097152], [0, 0], [-1297479/524288, -2594957/1048576], [-3299097/2097152, -\
3299097/2097152]]]], [[8, 13, 6, 2, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = 0, y = -u^2, And(-u < z,z < u)], [regular_chain, [[1, 1], [3299097/2097152
, 3299097/2097152], [0, 0], [-1297479/524288, -2594957/1048576], [-1/4194304,
-1/4194304]]]], [[8, 13, 6, 2, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0
, y = -u^2, z = u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152
], [0, 0], [-1297479/524288, -2594957/1048576], [412387/262144, 1649549/
1048576]]]], [[8, 13, 6, 2, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y
= -u^2, u < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
0, 0], [-1297479/524288, -2594957/1048576], [3, 3]]]], [[9, 1, 10, 2, 1], [And
(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [6860721/1048576, 3430361/524288], [-15818595/1048576, -7909297/524288],
[-4, -4]]]], [[9, 1, 10, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288]
, [-15818595/1048576, -7909297/524288], [-1532401/524288, -24518415/8388608]]]
], [[9, 1, 10, 2, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2
-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [-15818595/1048576, -7909297/524288], [-7/16777216, -7/
16777216]]]], [[9, 1, 10, 2, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288]
, [-15818595/1048576, -7909297/524288], [3064801/1048576, 1532401/524288]]]],
[[9, 1, 10, 2, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1,
y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [6860721/1048576, 3430361/524288], [-15818595/
1048576, -7909297/524288], [4, 4]]]], [[9, 3, 7, 7, 1], [And(1 < v,v < 2^(1/2)
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0
< y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/2097152, 501965/
2097152], [250983/2097152, 250983/2097152], [0, 0]]]], [[9, 13, 6, 3, 1], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2
*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/2097152, -\
139585/262144], [-7843775/16777216, -7843775/16777216], [-2, -2]]]], [[9, 13,
6, 3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1
, And(-2*u^2+2*v^2 < y,y < 0), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
1116681/2097152, -139585/262144], [-7843775/16777216, -7843775/16777216], [-\
274877904575/274877906944, -70368743571199/70368744177664]]]], [[9, 13, 6, 3,
3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(
-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-7843775/16777216, -\
7843775/16777216], [-66502399/140737488355328, -66502399/140737488355328]]]],
[[9, 13, 6, 3, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [-7843775/16777216, -7843775/
16777216], [1048575/1048576, 1]]]], [[9, 13, 6, 3, 5], [And(1 < v,v < 2^(1/2))
, And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), (-
u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-\
7843775/16777216, -7843775/16777216], [2, 2]]]], [[9, 15, 5, 6, 1], [And(1 < v
,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[9, 15, 5, 6,
2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1
< x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576
], [898327/524288, 898327/524288], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[9, 
15, 5, 6, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [1/2, 1/2], [1
, 1]]]], [[10, 1, 9, 6, 1], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y = 0,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2
], [0, 0], [0, 0]]]], [[10, 3, 7, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)
), And(0 < x,x < u^2-3), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467
/2097152, 505467/2097152], [-2855353/1048576, -5710705/2097152], [-3, -3]]]],
[[10, 3, 7, 2, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3
), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [505467/2097152, 505467/
2097152], [-2855353/1048576, -5710705/2097152], [-825991/524288, -3303963/
2097152]]]], [[10, 3, 7, 2, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0
< x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [-2855353/1048576, -5710705/
2097152], [-1/4194304, -1/4194304]]]], [[10, 3, 7, 2, 4], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/2097152, 505467/2097152], [-2855353/1048576, -5710705/
2097152], [1651981/1048576, 825991/524288]]]], [[10, 3, 7, 2, 5], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = -u^2-x+1, (u^2-1)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [505467/2097152, 505467/2097152], [-2855353/1048576, -\
5710705/2097152], [3, 3]]]], [[10, 9, 6, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0
), x = 0, y = 0, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [0, 0], [0, 0], [-1, -1]]]], [[10, 9, 6, 4, 2], [v = 2^(1/2), And(
-1 < u,u < 0), x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [0, 0], [0, 0], [0, 0]]]], [[10, 9, 6, 4, 3], [v = 2^(
1/2), And(-1 < u,u < 0), x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288
, 1482911/1048576], [-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]], [[10, 11, 3, 9, 1
], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), -u^2-x+1 < y, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8
], [4, 4], [0, 0]]]], [[10, 15, 4, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2))
, x = -1, And(0 < y,y < u^2-2), z < -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [
497805/2097152, 497805/2097152], [-2, -2]]]], [[10, 15, 4, 5, 2], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [497805/2097152, 497805/2097152], [-3662827/4194304, -\
1831413/2097152]]]], [[10, 15, 4, 5, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = -1, And(0 < y,y < u^2-2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [497805/2097152, 497805/2097152], [-1/4194304, -1/4194304]
]]], [[10, 15, 4, 5, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(0 <
y,y < u^2-2), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [497805/2097152, 
497805/2097152], [457853/524288, 915707/1048576]]]], [[10, 15, 4, 5, 5], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), (1-y)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-1, -1], [497805/2097152, 497805/2097152], [2, 2]]]], [[10,
17, 3, 8, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y
= u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [291383/
131072, 2331065/1048576], [0, 0]]]], [[10, 19, 2, 1, 1], [v = 2^(1/2), 2 < u,
x = -u^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-8, -8], [-1, -1], [-4, -4]]]], [[10, 19, 2, 1, 2],
[v = 2^(1/2), 2 < u, x = -u^2+1, y < 0, z = -(u^2-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [-1, -1], [-3, -3]]]], [[
10, 19, 2, 1, 3], [v = 2^(1/2), 2 < u, x = -u^2+1, y < 0, And(-(u^2-y-1)^(1/2)
< z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-8, -8], [-1, -1], [0, 0]]]], [[10, 19, 2, 1, 4], [v = 2^(1/2), 2 < u
, x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-8, -8], [-1, -1], [3, 3]]]], [[10, 19, 2, 1, 5], [
v = 2^(1/2), 2 < u, x = -u^2+1, y < 0, (u^2-y-1)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [-1, -1], [4, 4]]]], [[11,
1, 8, 4, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [-1, -1], [-1, -1]]]], [[11, 1, 8, 4
, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain,
[[3, 3], [-5, -5], [1, 1], [-1, -1], [0, 0]]]], [[11, 1, 8, 4, 3], [2^(1/2) <
v, u < -(v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [-5, -5
], [1, 1], [-1, -1], [1, 1]]]], [[11, 5, 5, 2, 1], [2^(1/2) < v, And(-(v^2+1)^
(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1579769/2097152, -1579769/2097152], [-776075/1048576, -1552149/2097152], [-3,
-3]]]], [[11, 5, 5, 2, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-\
1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [-776075/1048576, -1552149/2097152], [-1281417/1048576, -\
160177/131072]]]], [[11, 5, 5, 2, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1579769/2097152, -1579769/2097152], [-776075/1048576, -1552149/
2097152], [0, 0]]]], [[11, 5, 5, 2, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [-776075/1048576, -1552149/2097152], [160177/131072, 1281417
/1048576]]]], [[11, 5, 5, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [-776075/1048576, -1552149/2097152], [3, 3]]]], [[11, 7, 6,
1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2
-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-129143/262144, -516571/1048576], [-3, -3], [-3, -3]]]], [
[11, 7, 6, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1
, y < 2*u^2-2*v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-3, -3
], [-7838571/4194304, -3919285/2097152]]]], [[11, 7, 6, 1, 3], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^2
-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-3, -3], [-1/
4194304, -1/4194304]]]], [[11, 7, 6, 1, 4], [2^(1/2) < v, And(-v < u,u < -(v^2
-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144,
-516571/1048576], [-3, -3], [979821/524288, 1959643/1048576]]]], [[11, 7, 6, 1
, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-\
2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [-3, -3], [3, 3]]]], [[11
, 12, 9, 4, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, y = -x, z < 0], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [-2, -2], [-1,
-1]]]], [[11, 12, 9, 4, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, y = -x, z
= 0], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [-2, -2]
, [0, 0]]]], [[11, 12, 9, 4, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, y = -
x, 0 < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [-2
, -2], [1, 1]]]], [[11, 14, 8, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1,
And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[11, 14, 8, 3, 2], [
2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-2, -2], [
-1, -1]]]], [[11, 14, 8, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(-3
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [1, 1], [-2, -2], [0, 0]]]], [[11, 14, 8,
3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^
(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-2
, -2], [1, 1]]]], [[11, 14, 8, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1,
And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [1, 1], [-2, -2], [2, 2]]]], [[11, 18, 8, 6, 1], [2^(1/2)
< v, u = (v^2+1)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[3, 3], [207243
/65536, 3315889/1048576], [1, 1], [0, 0], [0, 0]]]], [[11, 20, 6, 2, 1], [2^(1
/2) < v, u = (v^2+2)^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [0, 0], [-3, -3], [-3, -3]]]], [[11, 20
, 6, 2, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [-3, -3], [
-1816187/1048576, -3632373/2097152]]]], [[11, 20, 6, 2, 3], [2^(1/2) < v, u =
(v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[11, 20, 6, 2, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, y = -\
3, z = 3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [
0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[11, 20, 6, 2, 5], [2^(
1/2) < v, u = (v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [0, 0], [-3, -3], [3, 3]]]], [[1, 5, 5,
8, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1)
, y = -x, z < 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-1579769/2097152, -1579769/2097152], [197471/262144, 789885/1048576], [-1, -1
]]]], [[1, 5, 5, 8, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 <
x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-1579769/2097152, -1579769/2097152], [197471/262144, 789885/
1048576], [0, 0]]]], [[1, 5, 5, 8, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [197471/
262144, 789885/1048576], [1, 1]]]], [[1, 7, 6, 3, 1], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z < -(u^2-v^
2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-129143/262144, -516571/1048576], [-133001/262144, -133001/262144], [-2, -2
]]]], [[1, 7, 6, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2
+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/
1048576], [-133001/262144, -133001/262144], [-8796092106889/8796093022208, -\
1099511513361/1099511627776]]]], [[1, 7, 6, 3, 3], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), And(-(u^2-v^2-y
+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-133001/262144
, -133001/262144], [-934161/2199023255552, -934161/2199023255552]]]], [[1, 7,
6, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*
u^2-2*v^2 < y,y < 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-\
133001/262144, -133001/262144], [1048575/1048576, 1]]]], [[1, 7, 6, 3, 5], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y
,y < 0), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-133001/262144
, -133001/262144], [2, 2]]]], [[1, 11, 3, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), -u^2+v^2-x-1 < y, z =
z], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [15, 15], [0, 0]]]], [[
1, 12, 9, 8, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [0, 0], [0, 0
]]]], [[1, 18, 9, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, And(-x < y,y
< 0), z = z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2,
2], [-1, -1], [0, 0]]]], [[1, 20, 6, 4, 1], [v < -2^(1/2), u = (v^2+2)^(1/2),
x = 0, y = 0, z < 0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [0, 0], [0, 0], [-1, -1]]]], [[1, 20, 6, 4, 2], [v < -2^(1/2), u = (v
^2+2)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3], [3477733/1048576
, 1738867/524288], [0, 0], [0, 0], [0, 0]]]], [[1, 20, 6, 4, 3], [v < -2^(1/2)
, u = (v^2+2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3], [3477733
/1048576, 1738867/524288], [0, 0], [0, 0], [1, 1]]]], [[2, 3, 2, 1, 1], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-3, -3]]]], [
[2, 3, 2, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y < 0, z
= -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -\
1], [-3913339/2097152, -3913339/2097152]]]], [[2, 3, 2, 1, 3], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), x = -u^2+1, y < 0, And(-(u^2-y-1)^(1/2) < z,z < (u^2
-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-1/
4194304, -1/4194304]]]], [[2, 3, 2, 1, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-650655/
262144, -2602619/1048576], [-1, -1], [1956669/1048576, 978335/524288]]]], [[2,
3, 2, 1, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y < 0, (u^2-
y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -\
1], [3, 3]]]], [[2, 4, 9, 7, 1], [v = -2^(1/2), u = -3^(1/2), 1 < x, 0 < y, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [2, 2], [1, 1], [0, 0]]]], [[2, 7, 3, 3, 1], [v = -2^(1/2),
And(v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576
, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-35579/262144, -\
35579/262144], [-3, -3]]]], [[2, 7, 3, 3, 2], [v = -2^(1/2), And(v < u,u < -1)
, And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-35579/262144, -35579
/262144], [-1243865/1048576, -155483/131072]]]], [[2, 7, 3, 3, 3], [v = -2^(1/
2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [-35579/262144, -35579/262144], [0, 0]]]], [[2, 7, 3, 3, 4], [v = -2
^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-35579/
262144, -35579/262144], [155483/131072, 1243865/1048576]]]], [[2, 7, 3, 3, 5],
[v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
35579/262144, -35579/262144], [3, 3]]]], [[2, 9, 1, 9, 1], [v = -2^(1/2), And(
-1 < u,u < 0), x < u^2-3, -u^2-x+1 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [6, 6], [0, 0]]]], [[2, 12,
8, 2, 1], [v = -2^(1/2), u = 1, x = 1, y = -3, z < -2^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [1, 1], [-3, -3], [-3, -3]]]], [[
2, 12, 8, 2, 2], [v = -2^(1/2), u = 1, x = 1, y = -3, z = -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1], [-3, -3],
[-1482911/1048576, -741455/524288]]]], [[2, 12, 8, 2, 3], [v = -2^(1/2), u = 1
, x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [1, 1], [-3, -3], [0, 0]]]], [[2, 12, 8, 2,
4], [v = -2^(1/2), u = 1, x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [-3, -3], [741455/524288, 
1482911/1048576]]]], [[2, 12, 8, 2, 5], [v = -2^(1/2), u = 1, x = 1, y = -3, 2
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1,
1], [-3, -3], [3, 3]]]], [[2, 14, 6, 6, 1], [v = -2^(1/2), u = -v, x = 1, y =
0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [1, 1], [0, 0], [0, 0]]]], [[3, 1, 3, 4, 1], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [0, 0], [-4, -4]]]], [[3, 1, 3, 4, 2], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y =
0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [-10006449/2097152, -10006449/2097152], [0, 0], [-286309/131072, -\
2290471/1048576]]]], [[3, 1, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449
/2097152, -10006449/2097152], [0, 0], [0, 0]]]], [[3, 1, 3, 4, 4], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [0, 0], [2290471/1048576, 286309/131072]
]]], [[3, 1, 3, 4, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2
+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [0, 0],
[4, 4]]]], [[3, 2, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1
< x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-7/
2, -7/2], [-3, -3]]]], [[3, 2, 9, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+
2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2,
2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[3, 2, 9, 3, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-7/2, -7/2],
[0, 0]]]], [[3, 2, 9, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1
< x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [-7/
2, -7/2], [642119/524288, 1284239/1048576]]]], [[3, 2, 9, 3, 5], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [2, 2], [-7/2, -7/2], [3, 3]]]], [[3, 7, 1, 3, 1], [And(-2^(
1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y <
u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/1048576, 
749473/1048576], [-3, -3]]]], [[3, 7, 1, 3, 2], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = -(-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [749473/1048576, 749473/1048576], [-\
99071/65536, -3170271/2097152]]]], [[3, 7, 1, 3, 3], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/
1048576, 749473/1048576], [-1/4194304, -1/4194304]]]], [[3, 7, 1, 3, 4], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,
y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/
1048576, 749473/1048576], [1585135/1048576, 99071/65536]]]], [[3, 7, 1, 3, 5],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0
< y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/
1048576, 749473/1048576], [3, 3]]]], [[3, 8, 8, 7, 1], [And(-2^(1/2) < v,v < -\
1), u = -(v^2-1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [1, 1]
, [0, 0]]]], [[4, 1, 2, 7, 1], [v = -1, u < -3^(1/2), x = -u^2, 2*u^2-2 < y, z
= z], [regular_chain, [[-1, -1], [-3, -3], [-9, -9], [17, 17], [0, 0]]]], [[4,
2, 8, 6, 1], [v = -1, u = -3^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-1
, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [0, 0], [0, 0]]]], [[4, 6
, 7, 4, 1], [v = -1, u = -1, 1 < x, y = -x, z < 0], [regular_chain, [[-1, -1],
[-1, -1], [2, 2], [-2, -2], [-1, -1]]]], [[4, 6, 7, 4, 2], [v = -1, u = -1, 1
< x, y = -x, z = 0], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-2, -2], [0
, 0]]]], [[4, 6, 7, 4, 3], [v = -1, u = -1, 1 < x, y = -x, 0 < z], [
regular_chain, [[-1, -1], [-1, -1], [2, 2], [-2, -2], [1, 1]]]], [[4, 8, 8, 1,
1], [v = -1, u = 0, x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-1, -\
1], [0, 0], [1, 1], [-4, -4], [-3, -3]]]], [[4, 8, 8, 1, 2], [v = -1, u = 0, x
= 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1, 1], [-\
4, -4], [-1816187/1048576, -3632373/2097152]]]], [[4, 8, 8, 1, 3], [v = -1, u
= 0, x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[-1, -1], [0, 0], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[4, 8, 8, 1
, 4], [v = -1, u = 0, x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-1,
-1], [0, 0], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[4, 8, 8,
1, 5], [v = -1, u = 0, x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[-1,
-1], [0, 0], [1, 1], [-4, -4], [3, 3]]]], [[4, 14, 6, 4, 1], [v = -1, u = 3^(1
/2), x = 0, y = 0, z < 0], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[4, 14, 6, 4, 2], [v = -1, u = 3^(1/2)
, x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [0, 0], [0, 0], [0, 0]]]], [[4, 14, 6, 4, 3], [v = -1, u = 3^(1/2),
x = 0, y = 0, 0 < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [0, 0], [0, 0], [1, 1]]]], [[5, 1, 3, 5, 1], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [43/16, 43/16],
[-3, -3]]]], [[5, 1, 3, 5, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^
2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-3, -3], [-43/8, -43/8], [43/16, 43/16], [-3437987/2097152, -\
1718993/1048576]]]], [[5, 1, 3, 5, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [43/16, 43
/16], [0, 0]]]], [[5, 1, 3, 5, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And
(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [43/16, 43/16], [1718993/1048576, 
859497/524288]]]], [[5, 1, 3, 5, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [43/16, 43/16], [3, 3]
]]], [[5, 4, 9, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, And(-x <
y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[5, 7, 1, 2, 1], [And(-1 < v,v < 0), 
And(v < u,u < -v), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [0, 0], [-3, -3], [0, 0], [-3, -3]]]], [[5, 7, 1, 2, 2], [And(-1 <
v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 7, 1, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
-1/2, -1/2], [0, 0], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[5, 7, 1,
2, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y = 0, z = (-x)^(
1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [0, 0], [908093/524288
, 1816187/1048576]]]], [[5, 7, 1, 2, 5], [And(-1 < v,v < 0), And(v < u,u < -v)
, x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0]
, [-3, -3], [0, 0], [3, 3]]]], [[5, 9, 3, 7, 1], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [948445/1048576, 948445/
1048576], [-2, -2]]]], [[5, 9, 3, 7, 2], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [-2521309/2097152, -2521309/2097152], [948445/1048576, 948445/1048576], [-\
1144335/2097152, -572167/1048576]]]], [[5, 9, 3, 7, 3], [And(-1 < v,v < 0), 
And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152],
[948445/1048576, 948445/1048576], [0, 0]]]], [[5, 9, 3, 7, 4], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [948445/
1048576, 948445/1048576], [572167/1048576, 71521/131072]]]], [[5, 9, 3, 7, 5],
[And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [
948445/1048576, 948445/1048576], [2, 2]]]], [[5, 11, 2, 4, 1], [And(-1 < v,v <
0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z
< 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-2583195
/1048576, -1291597/524288], [1291597/524288, 2583195/1048576], [-1, -1]]]], [[
5, 11, 2, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-2583195/1048576, -1291597/524288], [1291597/524288,
2583195/1048576], [0, 0]]]], [[5, 11, 2, 4, 3], [And(-1 < v,v < 0), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/524288, 2583195/1048576], [1, 1]]]], [[6,
1, 6, 6, 1], [v = 0, u < -2^(1/2), x = 0, y = u^2-1, z = z], [regular_chain, [
[0, 0], [-3, -3], [0, 0], [8, 8], [0, 0]]]], [[6, 3, 3, 7, 1], [v = 0, And(-2^
(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), And(-x < y,y < u^2-x-1), z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [1026087/524288, 1026087/524288], [0, 0]]]], [[6,
9, 3, 8, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), y = u^2-x
-1, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
1812519/1048576, -1812519/1048576], [2291829/1048576, 1145915/524288], [0, 0]]
]], [[6, 10, 9, 7, 1], [v = 0, u = 2^(1/2), 1 < x, And(1-x < y,y < 0), z = z],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-1/2, -1/2
], [0, 0]]]], [[7, 3, 4, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1, -1], [3, 3], [0, 0]]]], [[7, 5, 3, 8, 1],
[And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1),
y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-2521309/2097152, -2521309/2097152], [630327/524288, 1260655/
1048576], [-1, -1]]]], [[7, 5, 3, 8, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[1/2
, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [630327/524288, 1260655/1048576], [0, 0]]]], [[7, 5, 3, 8, 3], [And(
0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y =
-x, 0 < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[-2521309/2097152, -2521309/2097152], [630327/524288, 1260655/1048576], [1, 1]
]]], [[8, 1, 7, 9, 1], [v = 1, u < -3^(1/2), And(0 < x,x < 1), u^2-x-2 < y, z
= z], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [8, 8], [0, 0]]]], [[8, 3
, 5, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(-u^
2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [-1/2, -1/2], [-16565363/16777216, -16565363/16777216], [
-3, -3]]]], [[8, 3, 5, 3, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 <
x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-16565363/16777216, -\
16565363/16777216], [-639411/524288, -1278821/1048576]]]], [[8, 3, 5, 3, 3], [
v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-16565363/16777216, -\
16565363/16777216], [0, 0]]]], [[8, 3, 5, 3, 4], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-\
16565363/16777216, -16565363/16777216], [1278821/1048576, 639411/524288]]]], [
[8, 3, 5, 3, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), 
And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [-16565363/16777216, -16565363/
16777216], [3, 3]]]], [[8, 7, 5, 8, 1], [v = 1, And(-1 < u,u < 0), And(-1 < x,
x < -u^2), y = -x, z < 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8]
, [5/8, 5/8], [-1, -1]]]], [[8, 7, 5, 8, 2], [v = 1, And(-1 < u,u < 0), And(-1
< x,x < -u^2), y = -x, z = 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -\
5/8], [5/8, 5/8], [0, 0]]]], [[8, 7, 5, 8, 3], [v = 1, And(-1 < u,u < 0), And(
-1 < x,x < -u^2), y = -x, 0 < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8
, -5/8], [5/8, 5/8], [1, 1]]]], [[8, 9, 5, 2, 1], [v = 1, And(0 < u,u < 1), 
And(-1 < x,x < -u^2), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-5/8, -5/8], [-9/8, -9/8], [-3, -3]]]], [[8, 9, 5, 2, 2], [v
= 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = u^2-x-2, z = -(-u^2+2)^(1/2)]
, [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-9/8, -9/8], [-10837/
8192, -1387135/1048576]]]], [[8, 9, 5, 2, 3], [v = 1, And(0 < u,u < 1), And(-1
< x,x < -u^2), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-9/8, -9/8], [0, 0]]]], [[8
, 9, 5, 2, 4], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), y = u^2-x-2, z
= (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [-9/8, -\
9/8], [1387135/1048576, 10837/8192]]]], [[8, 9, 5, 2, 5], [v = 1, And(0 < u,u
< 1), And(-1 < x,x < -u^2), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain,
[[1, 1], [1/2, 1/2], [-5/8, -5/8], [-9/8, -9/8], [3, 3]]]], [[8, 15, 2, 6, 1],
[v = 1, 3^(1/2) < u, x = -u^2, y = 2*u^2-2, z = z], [regular_chain, [[1, 1], [
3, 3], [-9, -9], [16, 16], [0, 0]]]], [[9, 1, 8, 9, 1], [And(1 < v,v < 2^(1/2)
), u < -(v^2+2)^(1/2), x = 1, u^2-v^2-2 < y, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3, -3], [1, 1], [7, 7], [0, 0]]]], [[9, 5, 5, 9,
1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^
2-v^2-1), -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [2
, 2], [0, 0]]]], [[9, 7, 7, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v
^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-3, -3], [-3, -3]]]], [
[9, 7, 7, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(
-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-3, -3], [-7520275/4194304, -3760137/
2097152]]]], [[9, 7, 7, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1
)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-3, -\
3], [-1/4194304, -1/4194304]]]], [[9, 7, 7, 1, 4], [And(1 < v,v < 2^(1/2)), 
And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-3, -\
3], [470017/262144, 1880069/1048576]]]], [[9, 7, 7, 1, 5], [And(1 < v,v < 2^(1
/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x
-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-3, -\
3], [3, 3]]]], [[9, 9, 7, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
239655/1048576, 239655/1048576], [-1408059/524288, -5632235/2097152], [-3, -3]
]]], [[9, 9, 7, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [-1408059/524288, -5632235/2097152], [-410915/262144
, -3287319/2097152]]]], [[9, 9, 7, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1
)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, 
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576], [
-1408059/524288, -5632235/2097152], [-1/4194304, -1/4194304]]]], [[9, 9, 7, 2,
4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0
< x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576],
[-1408059/524288, -5632235/2097152], [1643659/1048576, 410915/262144]]]], [[9,
9, 7, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 
239655/1048576], [-1408059/524288, -5632235/2097152], [3, 3]]]], [[9, 11, 6, 3
, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, 
And(2*u^2-2*v^2 < y,y < 0), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/
262144, -450371/1048576], [-1196409/2097152, -1196409/2097152], [-2, -2]]]], [
[9, 11, 6, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -
u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [-1196409/2097152, -1196409/
2097152], [-274877880697/274877906944, -8796092182303/8796093022208]]]], [[9,
11, 6, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+
v^2-1, And(2*u^2-2*v^2 < y,y < 0), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y
+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-1196409/2097152
, -1196409/2097152], [-7548703/17592186044416, -7548703/17592186044416]]]], [[
9, 11, 6, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u
^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
112593/262144, -450371/1048576], [-1196409/2097152, -1196409/2097152], [
1048575/1048576, 1]]]], [[9, 11, 6, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1
)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), (u^2-v^2-y+1)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-112593/262144, -450371/1048576], [-1196409/2097152
, -1196409/2097152], [2, 2]]]], [[9, 15, 7, 1, 1], [And(1 < v,v < 2^(1/2)), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v
^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [-4, -4],
[-3, -3]]]], [[9, 15, 7, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [501965/2097152, 501965/2097152], [-4, -4], [-32535017/
16777216, -4066877/2097152]]]], [[9, 15, 7, 1, 3], [And(1 < v,v < 2^(1/2)), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v
^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [-4, -4], [-1/4194304, -1/4194304]]]], [[9, 15, 7, 1, 4], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x
< u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [-4, -4], [1016719/524288, 2033439/1048576]]]], [[9, 15, 7, 1
, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0
< x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
2097152, 501965/2097152], [-4, -4], [3, 3]]]], [[9, 17, 4, 4, 1], [And(1 < v,v
< 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = 0, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[9,
17, 4, 4, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = 0, z = -\
1], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [0,
0], [-1, -1]]]], [[9, 17, 4, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u
, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[9, 17, 4, 4, 4], [And
(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = 0, z = 1], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [0, 0], [1, 1]]]], [[9,
17, 4, 4, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = 0, 1 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [0,
0], [2, 2]]]], [[10, 5, 7, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(
u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1101539/4194304, -1101539/4194304], [-773191/1048576, -773191/
1048576], [-2, -2]]]], [[10, 5, 7, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1101539/4194304, -1101539/4194304], [-773191/1048576, -773191/
1048576], [-8388607/8388608, -4398045986815/4398046511104]]]], [[10, 5, 7, 3,
3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(-u^2-x+1
< y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [-773191/1048576, -773191/1048576], [-\
3670015/8796093022208, -3670015/8796093022208]]]], [[10, 5, 7, 3, 4], [v = 2^(
1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2
-x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/4194304], [-\
773191/1048576, -773191/1048576], [1048575/1048576, 1]]]], [[10, 5, 7, 3, 5],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y
,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -1101539/
4194304], [-773191/1048576, -773191/1048576], [2, 2]]]], [[10, 7, 8, 2, 1], [v
= 2^(1/2), And(-v < u,u < -1), x = 0, y = u^2-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [-3, -3]]]], [[10, 7,
8, 2, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y = u^2-3, z = -(-u^2+3)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [-1302471/
1048576, -651235/524288]]]], [[10, 7, 8, 2, 3], [v = 2^(1/2), And(-v < u,u < -\
1), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[10, 7, 8,
2, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y = u^2-3, z = (-u^2+3)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [651235/524288
, 1302471/1048576]]]], [[10, 7, 8, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), x
= 0, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-3235683/2097152, -\
1617841/1048576], [3, 3]]]], [[10, 11, 5, 2, 1], [v = 2^(1/2), And(0 < u,u < 1
), And(-1 < x,x < 0), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-9/4, -9/4], [-3,
-3]]]], [[10, 11, 5, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0),
y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/2, -1/2], [-9/4, -9/4], [-1738867/1048576, -3477733/
2097152]]]], [[10, 11, 5, 2, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x
< 0), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-\
9/4, -9/4], [-1/4194304, -1/4194304]]]], [[10, 11, 5, 2, 4], [v = 2^(1/2), And
(0 < u,u < 1), And(-1 < x,x < 0), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-\
9/4, -9/4], [869433/524288, 1738867/1048576]]]], [[10, 11, 5, 2, 5], [v = 2^(1
/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-\
9/4, -9/4], [3, 3]]]], [[10, 13, 4, 5, 1], [v = 2^(1/2), And(1 < u,u < v), x =
-1, And(0 < y,y < -u^2+2), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [-2, -2]]]], [[10, 13, 4, 5, 2], [v = 2^(1/2), And(1
< u,u < v), x = -1, And(0 < y,y < -u^2+2), z = -(1-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1
], [569265/2097152, 569265/2097152], [-3580063/4194304, -1790031/2097152]]]],
[[10, 13, 4, 5, 3], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(0 < y,y < -u^2
+2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [569265/
2097152, 569265/2097152], [-1/4194304, -1/4194304]]]], [[10, 13, 4, 5, 4], [v
= 2^(1/2), And(1 < u,u < v), x = -1, And(0 < y,y < -u^2+2), z = (1-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [569265/2097152, 569265/2097152], [895015/1048576, 111877/
131072]]]], [[10, 13, 4, 5, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(0
< y,y < -u^2+2), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [569265/2097152, 
569265/2097152], [2, 2]]]], [[11, 3, 4, 8, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[3, 3
], [-3396811/1048576, -3396811/1048576], [-1, -1], [391655/262144, 1566621/
1048576], [0, 0]]]], [[11, 5, 4, 2, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-1, -1], [-64673/131072, -517383/1048576],
[-3, -3]]]], [[11, 5, 4, 2, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1, -1], [-64673/131072, -517383/1048576], [-\
1281417/1048576, -160177/131072]]]], [[11, 5, 4, 2, 3], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-1, -1], [-64673/131072, -517383/1048576], [0, 0]]]], [[11, 5, 4, 2, 4], [2^(
1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1, -1],
[-64673/131072, -517383/1048576], [160177/131072, 1281417/1048576]]]], [[11, 5
, 4, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1, -1], [-64673/131072, -517383/1048576], [3, 3]]]], [[11, 9, 4, 5,
1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 <
y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 9, 4, 5, 2], [2^(1
/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < 1),
z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[11,
9, 4, 5, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1,
And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-1, -1], [1/2, 1/2], [0, 0]]]], [
[11, 9, 4, 5, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/
65536]]]], [[11, 9, 4, 5, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11,
11, 1, 8, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2
-v^2-1, y = -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [0, 0], [-11, -11],
[19, 19], [0, 0]]]], [[11, 16, 6, 3, 1], [2^(1/2) < v, u = v, x = 1, And(-2 <
y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1, 1], [-3/2,
-3/2], [-2, -2]]]], [[11, 16, 6, 3, 2], [2^(1/2) < v, u = v, x = 1, And(-2 < y
,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1, 1], [-3/2,
-3/2], [-1482911/2097152, -741455/1048576]]]], [[11, 16, 6, 3, 3], [2^(1/2) <
v, u = v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[3, 3], [3, 3], [1, 1], [-3/2, -3/2], [0, 0]]]], [[11, 16, 6,
3, 4], [2^(1/2) < v, u = v, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/
65536]]]], [[11, 16, 6, 3, 5], [2^(1/2) < v, u = v, x = 1, And(-2 < y,y < -1),
(-y-1)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [1, 1], [-3/2, -3/2], [2,
2]]]], [[11, 18, 7, 4, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1),
y = -x, z < 0], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2
, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 18, 7, 4, 2], [2^(1/2) < v, u = (v^2+
1)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 18, 7, 4,
3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-1/2, -1
/2], [1, 1]]]], [[1, 5, 5, 2, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v)
, And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-776075/1048576, -1552149/2097152], [-3, -3]]]], [[1, 5, 5
, 2, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-\
1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-776075
/1048576, -1552149/2097152], [-1281417/1048576, -160177/131072]]]], [[1, 5, 5,
2, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1)
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-776075/1048576, -1552149/2097152], [0, 0]]]], [[1, 5, 5,
2, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1)
, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-776075
/1048576, -1552149/2097152], [160177/131072, 1281417/1048576]]]], [[1, 5, 5, 2
, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1),
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-776075/
1048576, -1552149/2097152], [3, 3]]]], [[1, 7, 6, 1, 1], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(
1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [-3, -3], [-3, -3]]]], [[1, 7, 6, 1, 2], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z =
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [-3, -3], [-7838571/4194304, -\
3919285/2097152]]]], [[1, 7, 6, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-
v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [-3, -3], [-1/4194304, -1/4194304
]]]], [[1, 7, 6, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2
+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-3,
-3], [979821/524288, 1959643/1048576]]]], [[1, 7, 6, 1, 5], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/
2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [-3, -3], [3, 3]]]], [[1, 11, 5, 1, 1], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^
2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2]
, [-11, -11], [-5, -5]]]], [[1, 11, 5, 1, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2
) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2
)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-11, -11], [-3555895/
1048576, -1777947/524288]]]], [[1, 11, 5, 1, 3], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2],
[-11, -11], [0, 0]]]], [[1, 11, 5, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-11, -11], [1777947/524288, 
3555895/1048576]]]], [[1, 11, 5, 1, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-11, -11], [5, 5]]]], [[1, 13
, 2, 4, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v
^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-3, -3], [1435023/524288, 
1435023/524288], [-5260377/2097152, -657547/262144], [657547/262144, 2630189/
1048576], [-1, -1]]]], [[1, 13, 2, 4, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[
-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144],
[657547/262144, 2630189/1048576], [0, 0]]]], [[1, 13, 2, 4, 3], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z
], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/
2097152, -657547/262144], [657547/262144, 2630189/1048576], [1, 1]]]], [[1, 18
, 8, 6, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [0, 0], [0,
0]]]], [[1, 20, 6, 2, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, y = -3, z <
-3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0
], [-3, -3], [-3, -3]]]], [[1, 20, 6, 2, 2], [v < -2^(1/2), u = (v^2+2)^(1/2),
x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[
1, 20, 6, 2, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2)
< z,z < 3^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 20, 6, 2, 4], [v < -2^(
1/2), u = (v^2+2)^(1/2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[-3, -3
], [3477733/1048576, 1738867/524288], [0, 0], [-3, -3], [908093/524288, 
1816187/1048576]]]], [[1, 20, 6, 2, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x =
0, y = -3, 3^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [0, 0], [-3, -3], [3, 3]]]], [[2, 3, 3, 4, 1], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [-3, -3]]]], [
[2, 3, 3, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -\
1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [0, 0], [-1383575/1048576, -691787/524288]]]], [[2, 3, 3, 4, 3], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, And(-(-x)
^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [0, 0], [0, 0]]]], [[2, 3, 3, 4, 4], [v = -2^(1/2), And(-2 < u,u < -
3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [0, 0], [691787/524288, 1383575/1048576]]]
], [[2, 3, 3, 4, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x
< -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [0, 0], [3, 3]]]], [[2, 5, 2, 5, 1], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [2541995/2097152, 
2541995/2097152], [-2, -2]]]], [[2, 5, 2, 5, 2], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [2541995/2097152, 
2541995/2097152], [-268683/524288, -1074731/2097152]]]], [[2, 5, 2, 5, 3], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), 
And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1546383/
1048576, -773191/524288], [2541995/2097152, 2541995/2097152], [-1/4194304, -1/
4194304]]]], [[2, 5, 2, 5, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^
2+1, And(2*u^2-4 < y,y < u^2-1), z = (u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [2541995/2097152, 2541995/2097152], [537365/
1048576, 268683/524288]]]], [[2, 5, 2, 5, 5], [v = -2^(1/2), And(-3^(1/2) < u,
u < v), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), (u^2-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [2541995/2097152, 
2541995/2097152], [2, 2]]]], [[2, 7, 1, 5, 1], [v = -2^(1/2), And(v < u,u < -1
), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[2, 7, 1, 5, 2], [v = -2^(1/
2), And(v < u,u < -1), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[2, 7, 1, 5, 3], [v = -2^(1
/2), And(v < u,u < -1), x < u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [0, 0]]]], [[
2, 7, 1, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(u^2-x-3 < y,y
< -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [1, 1]]]], [[
2, 7, 1, 5, 5], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(u^2-x-3 < y,y
< -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [2, 2]]]], [[
2, 8, 9, 6, 1], [v = -2^(1/2), u = -1, 1 < x, y = 0, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[2,
12, 8, 4, 1], [v = -2^(1/2), u = 1, x = 1, y = -1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [-1, -1], [-1, -1]]]], [[2,
12, 8, 4, 2], [v = -2^(1/2), u = 1, x = 1, y = -1, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [-1, -1], [0, 0]]]], [[2, 12
, 8, 4, 3], [v = -2^(1/2), u = 1, x = 1, y = -1, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [-1, -1], [1, 1]]]], [[2, 14
, 7, 5, 1], [v = -2^(1/2), u = -v, 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[3, 1, 1, 6, 1], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [10, 10], [-1, -1]]]
], [[3, 1, 1, 6, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v
^2-1, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [-10, -10], [10, 10], [0, 0]]]], [[3, 1, 1, 6, 3], [And(-2^(1/2) < v,
v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3, -3], [-10, -10], [10, 10], [1, 1]]]
], [[3, 2, 7, 9, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,
x < 1), 1-x < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [2, 2], [0, 0]]]], [[3, 7,
1, 5, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^
2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-3, -3], [2, 2], [-2, -2]]]], [[3, 7, 1, 5, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2
-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [2, 2], [-1, -1]]]],
[[3, 7, 1, 5, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x
< u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2, 2], [0, 0]]]], [[3, 7, 1, 5,
4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [2, 2], [1, 1]]]], [[3, 7, 1, 5, 5], [And(-2^(1/2) < v,v < -1), And(v < u
,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-
x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2, 2], [2, 2]]]], [[3, 8, 9, 6,
1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [0, 0], [0, 0]]]], [[4, 1, 2, 1, 1], [v = -1, u < -3^(
1/2), x = -u^2, y < 0, z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3
], [-9, -9], [-1, -1], [-5, -5]]]], [[4, 1, 2, 1, 2], [v = -1, u < -3^(1/2), x
= -u^2, y < 0, z = -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-9,
-9], [-1, -1], [-3315889/1048576, -207243/65536]]]], [[4, 1, 2, 1, 3], [v = -1
, u < -3^(1/2), x = -u^2, y < 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [-1, -1], [0, 0]]]], [[4, 1, 2,
1, 4], [v = -1, u < -3^(1/2), x = -u^2, y < 0, z = (u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [-1, -1], [207243/65536, 3315889
/1048576]]]], [[4, 1, 2, 1, 5], [v = -1, u < -3^(1/2), x = -u^2, y < 0, (u^2-y
)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-9, -9], [-1, -1], [5, 5]]
]], [[4, 2, 8, 4, 1], [v = -1, u = -3^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-1, -\
1], [-1, -1]]]], [[4, 2, 8, 4, 2], [v = -1, u = -3^(1/2), x = 1, y = -1, z = 0
], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-\
1, -1], [0, 0]]]], [[4, 2, 8, 4, 3], [v = -1, u = -3^(1/2), x = 1, y = -1, 0 <
z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [
-1, -1], [1, 1]]]], [[4, 7, 1, 7, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, 
And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2,
-1/2], [-3, -3], [23/8, 23/8], [-2, -2]]]], [[4, 7, 1, 7, 2], [v = -1, And(-1
< u,u < 0), x < u^2-2, And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [23/8, 23/8], [-46341/131072
, -370727/1048576]]]], [[4, 7, 1, 7, 3], [v = -1, And(-1 < u,u < 0), x < u^2-2
, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [23/8, 23/8], [0, 0]]]], [[4
, 7, 1, 7, 4], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(-u^2-x < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [23/8, 
23/8], [370727/1048576, 46341/131072]]]], [[4, 7, 1, 7, 5], [v = -1, And(-1 <
u,u < 0), x < u^2-2, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[-1, -1], [-1/2, -1/2], [-3, -3], [23/8, 23/8], [2, 2]]]], [[4, 9, 1, 1, 1]
, [v = -1, And(0 < u,u < 1), x < u^2-2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-1, -1], [-3, -3]]]], [[4, 9,
1, 1, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-1, -1], [-2, -2]]]], [[4, 9,
1, 1, 3], [v = -1, And(0 < u,u < 1), x < u^2-2, y < 0, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-1, -1], [
0, 0]]]], [[4, 9, 1, 1, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, y < 0, z = (
-x-y)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-1, -1], [2, 2
]]]], [[4, 9, 1, 1, 5], [v = -1, And(0 < u,u < 1), x < u^2-2, y < 0, (-x-y)^(1
/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [-1, -1], [3, 3]]]]
, [[4, 14, 5, 7, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1
-x), z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/
2, -1/2], [1, 1], [0, 0]]]], [[5, 1, 3, 3, 1], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/
16], [-4, -4]]]], [[5, 1, 3, 3, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/16], [-11
/4, -11/4]]]], [[5, 1, 3, 3, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-
u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-35/
16, -35/16], [0, 0]]]], [[5, 1, 3, 3, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/
2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/16], [
11/4, 11/4]]]], [[5, 1, 3, 3, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(
-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/16], [4,
4]]]], [[5, 5, 1, 8, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [-3, -3], [3, 3], [-1, -1]]]], [[5, 5, 1, 8, 2], [And(-1
< v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = -x, z = 0], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[3, 3], [0, 0]]]], [[5, 5, 1, 8, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [3, 3], [1, 1]]]], [[5, 7, 2, 7,
1], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, -u^2+v^2+1 < y, z =
z], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [3, 3], [0, 0]]]], [[
5, 9, 1, 9, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^
2-1, -x < y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [4, 4], [0, 0]]]], [[5, 11, 1, 3, 1], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v
^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-4, -4], [1611109/2097152, 1611109/2097152], [-3, -3]]]], [[5
, 11, 1, 3, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [
1611109/2097152, 1611109/2097152], [-7540145/4194304, -471259/262144]]]], [[5,
11, 1, 3, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4]
, [1611109/2097152, 1611109/2097152], [0, 0]]]], [[5, 11, 1, 3, 4], [And(-1 <
v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,
y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-4, -4], [1611109/2097152, 1611109/2097152], [471259/
262144, 1885037/1048576]]]], [[5, 11, 1, 3, 5], [And(-1 < v,v < 0), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (
-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144
], [-4, -4], [1611109/2097152, 1611109/2097152], [3, 3]]]], [[6, 1, 7, 1, 1],
[v = 0, u < -2^(1/2), And(0 < x,x < 1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-12, -12], [-5, -5]]]], [[6, 1,
7, 1, 2], [v = 0, u < -2^(1/2), And(0 < x,x < 1), y < -u^2-x-1, z = -(-x-y)^(1
/2)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-12, -12], [-3555895/
1048576, -1777947/524288]]]], [[6, 1, 7, 1, 3], [v = 0, u < -2^(1/2), And(0 <
x,x < 1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-12, -12], [0, 0]]]], [[6, 1, 7
, 1, 4], [v = 0, u < -2^(1/2), And(0 < x,x < 1), y < -u^2-x-1, z = (-x-y)^(1/2
)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-12, -12], [1777947/524288
, 3555895/1048576]]]], [[6, 1, 7, 1, 5], [v = 0, u < -2^(1/2), And(0 < x,x < 1
), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [1/2, 1
/2], [-12, -12], [5, 5]]]], [[6, 3, 4, 4, 1], [v = 0, And(-2^(1/2) < u,u < -1)
, x = -1, y = 0, z < -1], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[6, 3, 4, 4, 2], [v = 0, And(-2^(1/
2) < u,u < -1), x = -1, y = 0, z = -1], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[6, 3, 4, 4, 3], [
v = 0, And(-2^(1/2) < u,u < -1), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0]
, [0, 0]]]], [[6, 3, 4, 4, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y = 0
, z = 1], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1,
-1], [0, 0], [1, 1]]]], [[6, 3, 4, 4, 5], [v = 0, And(-2^(1/2) < u,u < -1), x
= -1, y = 0, 1 < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[6, 9, 2, 1, 1], [v = 0, And(1 < u,u <
2^(1/2)), x = -u^2-1, y < 0, z < -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-2576463/1048576, -1288231/524288], [-1, -\
1], [-3, -3]]]], [[6, 9, 2, 1, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1,
y < 0, z = -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-2576463/1048576, -1288231/524288], [-1, -1], [-3899297/
2097152, -7798593/4194304]]]], [[6, 9, 2, 1, 3], [v = 0, And(1 < u,u < 2^(1/2)
), x = -u^2-1, y < 0, And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-2576463/1048576,
-1288231/524288], [-1, -1], [-1/8388608, -1/8388608]]]], [[6, 9, 2, 1, 4], [v
= 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, y < 0, z = (u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-2576463/1048576,
-1288231/524288], [-1, -1], [121853/65536, 1949649/1048576]]]], [[6, 9, 2, 1,
5], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, y < 0, (u^2-y+1)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-2576463/1048576,
-1288231/524288], [-1, -1], [3, 3]]]], [[6, 10, 8, 4, 1], [v = 0, u = 2^(1/2),
x = 1, y = -1, z < 0], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [-1, -1]]]], [[6, 10, 8, 4, 2], [v = 0, u = 2^(1/2
), x = 1, y = -1, z = 0], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [0, 0]]]], [[6, 10, 8, 4, 3], [v = 0, u = 2^(1/2),
x = 1, y = -1, 0 < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1, 1], [-1, -1], [1, 1]]]], [[7, 3, 5, 2, 1], [And(0 < v,v < 1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-\
1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/16777216], [-3, -3]
]]], [[7, 3, 5, 2, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [-\
8235625/4194304, -32942499/16777216], [-3291611/2097152, -1645805/1048576]]]],
[[7, 3, 5, 2, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
-1/2, -1/2], [-8235625/4194304, -32942499/16777216], [0, 0]]]], [[7, 3, 5, 2,
4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,
x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-343151/262144, -343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/
16777216], [1645805/1048576, 822903/524288]]]], [[7, 3, 5, 2, 5], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+
v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/16777216], [3, 3]]
]], [[7, 5, 4, 5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -\
1, And(0 < y,y < u^2-v^2), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152]
, [-2, -2]]]], [[7, 5, 4, 5, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u <
-v), x = -1, And(0 < y,y < u^2-v^2), z = -(1-y)^(1/2)], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [424157/2097152, 424157/
2097152], [-7492423/8388608, -3746211/4194304]]]], [[7, 5, 4, 5, 3], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), And(
-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [-3/
8388608, -3/8388608]]]], [[7, 5, 4, 5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/
2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [
424157/2097152, 424157/2097152], [117069/131072, 936553/1048576]]]], [[7, 5, 4
, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(0 < y,
y < u^2-v^2), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152
, -1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [2, 2]]]], [[
8, 1, 7, 7, 1], [v = 1, u < -3^(1/2), And(0 < x,x < 1), And(0 < y,y < u^2-x-2)
, z = z], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [13/4, 13/4], [0, 0]]
]], [[8, 3, 4, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = 1, z
< 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1],
[1, 1], [-1, -1]]]], [[8, 3, 4, 6, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -1, y = 1, z = 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [1, 1], [0, 0]]]], [[8, 3, 4, 6, 3], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1, -1], [1, 1], [1, 1]]]], [[8, 7, 7, 6, 1], [v
= 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [-2, -2]]]], [[8,
7, 7, 6, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = 0, z = -(-x)^
(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [-46341/
131072, -370727/1048576]]]], [[8, 7, 7, 6, 3], [v = 1, And(-1 < u,u < 0), And(
-u^2 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[1, 1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [0, 0]]]], [[8, 7, 7, 6, 4], [v =
1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [0, 0], [370727/1048576, 
46341/131072]]]], [[8, 7, 7, 6, 5], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x
< 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1
/8], [0, 0], [2, 2]]]], [[8, 9, 6, 3, 1], [v = 1, And(0 < u,u < 1), x = -u^2,
And(2*u^2-2 < y,y < 0), z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/
2], [-1/4, -1/4], [-3/4, -3/4], [-2, -2]]]], [[8, 9, 6, 3, 2], [v = 1, And(0 <
u,u < 1), x = -u^2, And(2*u^2-2 < y,y < 0), z = -(u^2-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [-3/4, -3/4], [-1, -1]]]], [
[8, 9, 6, 3, 3], [v = 1, And(0 < u,u < 1), x = -u^2, And(2*u^2-2 < y,y < 0), 
And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2
], [-1/4, -1/4], [-3/4, -3/4], [0, 0]]]], [[8, 9, 6, 3, 4], [v = 1, And(0 < u,
u < 1), x = -u^2, And(2*u^2-2 < y,y < 0), z = (u^2-y)^(1/2)], [regular_chain,
[[1, 1], [1/2, 1/2], [-1/4, -1/4], [-3/4, -3/4], [1, 1]]]], [[8, 9, 6, 3, 5],
[v = 1, And(0 < u,u < 1), x = -u^2, And(2*u^2-2 < y,y < 0), (u^2-y)^(1/2) < z]
, [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [-3/4, -3/4], [2, 2]]]],
[[8, 15, 2, 4, 1], [v = 1, 3^(1/2) < u, x = -u^2, y = u^2, z < 0], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [9, 9], [-1, -1]]]], [[8, 15, 2, 4,
2], [v = 1, 3^(1/2) < u, x = -u^2, y = u^2, z = 0], [regular_chain, [[1, 1], [
3, 3], [-9, -9], [9, 9], [0, 0]]]], [[8, 15, 2, 4, 3], [v = 1, 3^(1/2) < u, x
= -u^2, y = u^2, 0 < z], [regular_chain, [[1, 1], [3, 3], [-9, -9], [9, 9], [1
, 1]]]], [[9, 1, 8, 3, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1,
And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [1, 1], [-11055025/2097152, -11055025/
2097152], [-4, -4]]]], [[9, 1, 8, 3, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)
^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-11055025/2097152, -\
11055025/2097152], [-2167143/1048576, -1083571/524288]]]], [[9, 1, 8, 3, 3], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1),
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [-11055025/2097152, -11055025/2097152], [0
, 0]]]], [[9, 1, 8, 3, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1,
And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [1, 1], [-11055025/2097152, -11055025/
2097152], [1083571/524288, 2167143/1048576]]]], [[9, 1, 8, 3, 5], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1],
[-11055025/2097152, -11055025/2097152], [4, 4]]]], [[9, 5, 7, 7, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(
0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [279169/2097152, 279169/2097152], [-2, -2]]]], [[9, 5, 7, 7, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [279169/2097152, 279169/2097152], [-191289/524288, -382577/
1048576]]]], [[9, 5, 7, 7, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [
279169/2097152, 279169/2097152], [0, 0]]]], [[9, 5, 7, 7, 4], [And(1 < v,v < 2
^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [
279169/2097152, 279169/2097152], [382577/1048576, 191289/524288]]]], [[9, 5, 7
, 7, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-\
1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [279169/2097152, 279169/2097152], [2, 2]]]], [[9, 7
, 8, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y
= u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-3293563/
2097152, -1646781/1048576], [-3, -3]]]], [[9, 7, 8, 2, 2], [And(1 < v,v < 2^(1
/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [0, 0], [-3293563/2097152, -1646781/1048576], [-1314069/
1048576, -328517/262144]]]], [[9, 7, 8, 2, 3], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z <
(-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [0, 0], [-3293563/2097152, -1646781/
1048576], [0, 0]]]], [[9, 7, 8, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
0, 0], [-3293563/2097152, -1646781/1048576], [328517/262144, 1314069/1048576]]
]], [[9, 7, 8, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-\
3293563/2097152, -1646781/1048576], [3, 3]]]], [[9, 9, 5, 8, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y =
-u^2+v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [-1/2, -1/2], [501799/524288, 1003599/1048576], [0, 0]]]], [[9, 11, 4, 7,
1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(-u^2+v^
2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [1646781/2097152, 
1646781/2097152], [-2, -2]]]], [[9, 11, 4, 7, 2], [And(1 < v,v < 2^(1/2)), And
((v^2-1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 1), z = -(1-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [1646781/2097152, 1646781/2097152], [-485927/1048576, -\
242963/524288]]]], [[9, 11, 4, 7, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [-1, -1], [1646781/2097152, 1646781/2097152], [0, 0]]]], [[
9, 11, 4, 7, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1
, And(-u^2+v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [1646781/
2097152, 1646781/2097152], [242963/524288, 485927/1048576]]]], [[9, 11, 4, 7,
5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(-u^2+v^
2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [1646781/2097152, 
1646781/2097152], [2, 2]]]], [[9, 15, 7, 7, 1], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y < u
^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [125491/
1048576, 125491/1048576], [0, 0]]]], [[9, 17, 4, 6, 1], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, x = -1, y = 1, z < 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [-1, -1], [1, 1], [-1, -1]]]], [[9, 17, 4, 6, 2],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = 1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [1, 1],
[0, 0]]]], [[9, 17, 4, 6, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
-1, y = 1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3]
, [-1, -1], [1, 1], [1, 1]]]], [[10, 5, 5, 9, 1], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), And(-1 < x,x < u^2-3), -x < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [2, 2], [0, 0]]]], [[10, 7, 6, 4, 1], [v = 2^(1/2),
And(-v < u,u < -1), x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [0, 0], [-2, -2]]]], [[10, 7, 6, 4, 2], [v =
2^(1/2), And(-v < u,u < -1), x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-479311/1048576, -239655/524288], [0, 0], [-1417877/2097152, -\
354469/524288]]]], [[10, 7, 6, 4, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -u
^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [0, 0], [0, 0]]]], [[10, 7, 6, 4, 4], [v = 2^
(1/2), And(-v < u,u < -1), x = -u^2+1, y = 0, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-479311/1048576, -239655/524288], [0, 0], [354469/524288, 708939/
1048576]]]], [[10, 7, 6, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1,
y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [0, 0
], [2, 2]]]], [[10, 11, 5, 8, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x
< 0), y = -u^2-x+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [-1/2, -1/2], [5/4, 5/4], [0, 0]]]], [[10, 13, 4, 7, 1], [v = 2^(1
/2), And(1 < u,u < v), x = -1, And(-u^2+2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [808921/1048576, 808921/1048576], [-2, -2]]]], [[10, 13, 4
, 7, 2], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(-u^2+2 < y,y < 1), z = -(
1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576], [-\
501295/1048576, -250647/524288]]]], [[10, 13, 4, 7, 3], [v = 2^(1/2), And(1 <
u,u < v), x = -1, And(-u^2+2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576], [0, 0]]]], [[10,
13, 4, 7, 4], [v = 2^(1/2), And(1 < u,u < v), x = -1, And(-u^2+2 < y,y < 1), z
= (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576], [250647
/524288, 501295/1048576]]]], [[10, 13, 4, 7, 5], [v = 2^(1/2), And(1 < u,u < v
), x = -1, And(-u^2+2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [
808921/1048576, 808921/1048576], [2, 2]]]], [[11, 3, 4, 6, 1], [2^(1/2) < v, 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, z < 0], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1, 1]
, [-1, -1]]]], [[11, 3, 4, 6, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [1, 1], [0, 0]]]], [[11, 3, 4, 6, 3], [2
^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, 0 < z],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1, 1
], [1, 1]]]], [[11, 5, 3, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [-2, -2]]]], [[11, 5, 3, 5
, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1)
, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [388037/
1048576, 388037/1048576], [-1963551/2097152, -7854203/8388608]]]], [[11, 5, 3,
5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1
), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [-3/16777216, -3/16777216]
]]], [[11, 5, 3, 5, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2
+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [981775/1048576, 61361/
65536]]]], [[11, 5, 3, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [2, 2]]]], [[11, 9, 6, 1,
1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y < u^2-v
^2-1, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369
/8388608], [0, 0], [-4, -4], [-3, -3]]]], [[11, 9, 6, 1, 2], [2^(1/2) < v, And
(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)
], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
4, -4], [-2, -2]]]], [[11, 9, 6, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-4,
-4], [0, 0]]]], [[11, 9, 6, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(
v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [0, 0], [-4, -4], [2, 2]]]], [[11, 9,
6, 1, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y <
u^2-v^2-1, (-y)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [0, 0], [-4, -4], [3, 3]]]], [[11, 11, 3, 2, 1], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u
^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2,
-11/2], [-9/2, -9/2], [-5, -5]]]], [[11, 11, 3, 2, 2], [2^(1/2) < v, And(-(v^2
-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [-9
/2, -9/2], [-3315889/1048576, -207243/65536]]]], [[11, 11, 3, 2, 3], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y =
u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [-9/2, -9/2], [0, 0]]]], [[11,
11, 3, 2, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2
-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [0, 0], [-11/2, -11/2], [-9/2, -9/2], [207243/65536, 3315889/1048576]
]]], [[11, 11, 3, 2, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2
)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [-9/2, -9/2], [5, 5]]]], [[11,
16, 6, 1, 1], [2^(1/2) < v, u = v, x = 1, y < -2, z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [-3, -3], [-3, -3]]]], [[11, 16, 6, 1,
2], [2^(1/2) < v, u = v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [[
3, 3], [3, 3], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[11,
16, 6, 1, 3], [2^(1/2) < v, u = v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-
y-1)^(1/2))], [regular_chain, [[3, 3], [3, 3], [1, 1], [-3, -3], [0, 0]]]], [[
11, 16, 6, 1, 4], [2^(1/2) < v, u = v, x = 1, y < -2, z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1, 1], [-3, -3], [741455/524288, 1482911/
1048576]]]], [[11, 16, 6, 1, 5], [2^(1/2) < v, u = v, x = 1, y < -2, (-y-1)^(1
/2) < z], [regular_chain, [[3, 3], [3, 3], [1, 1], [-3, -3], [3, 3]]]], [[11,
18, 6, 3, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -
(-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0, 0],
[-1, -1], [-2, -2]]]], [[11, 18, 6, 3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x
= 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[11, 18, 6, 3, 3], [2
^(1/2) < v, u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0,
0], [-1, -1], [0, 0]]]], [[11, 18, 6, 3, 4], [2^(1/2) < v, u = (v^2+1)^(1/2),
x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [0, 0], [-1, -1], [1, 1]]]], [[11, 18, 6, 3, 5], [2^(
1/2) < v, u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0, 0], [-1, -1], [2,
2]]]], [[1, 1, 8, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, And(-1 < y,
y < 0), z = z], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [-1/2, -1/2], [0,
0]]]], [[1, 3, 5, 8, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [
-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [260583/262144, 1042333/
1048576], [0, 0]]]], [[1, 7, 8, 4, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [0, 0], [-129143/262144, -516571/
1048576], [-2, -2]]]], [[1, 7, 8, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [0, 0], [-129143/262144, -516571/
1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 7, 8, 4, 3], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [0, 0], [-129143/262144, -516571/1048576], [-1/4194304, -1/
4194304]]]], [[1, 7, 8, 4, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
= 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [0, 0], [-129143/262144, -516571/1048576],
[367989/524288, 735979/1048576]]]], [[1, 7, 8, 4, 5], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0, 0], [-\
129143/262144, -516571/1048576], [2, 2]]]], [[1, 9, 7, 7, 1], [v < -2^(1/2), 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(0 <
y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [133259/1048576, 133259/
1048576], [0, 0]]]], [[1, 14, 8, 4, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x =
1, y = -1, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576]
, [1, 1], [-1, -1], [-1, -1]]]], [[1, 14, 8, 4, 2], [v < -2^(1/2), u = (v^2-1)
^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [1, 1], [-1, -1], [0, 0]]]], [[1, 14, 8, 4, 3], [v < -2^(1/2
), u = (v^2-1)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [1, 1], [-1, -1], [1, 1]]]], [[1, 16, 7, 5, 1
], [v < -2^(1/2), u = -v, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[
-3, -3], [3, 3], [2, 2], [-1, -1], [0, 0]]]], [[1, 20, 8, 5, 1], [v < -2^(1/2)
, u = (v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -\
3], [3477733/1048576, 1738867/524288], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 1
, 5, 8, 1], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), y = u^2-x-3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [
13/2, 13/2], [0, 0]]]], [[2, 10, 7, 2, 1], [v = -2^(1/2), u = 0, And(0 < x,x <
1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[2, 10, 7, 2, 2], [v
= -2^(1/2), u = 0, And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-7/2, -7/2], [-\
1816187/1048576, -3632373/2097152]]]], [[2, 10, 7, 2, 3], [v = -2^(1/2), u = 0
, And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-7/2, -7/2], [-1/
4194304, -1/4194304]]]], [[2, 10, 7, 2, 4], [v = -2^(1/2), u = 0, And(0 < x,x
< 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]]
, [[2, 10, 7, 2, 5], [v = -2^(1/2), u = 0, And(0 < x,x < 1), y = -x-3, 3^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2],
[-7/2, -7/2], [3, 3]]]], [[2, 12, 5, 4, 1], [v = -2^(1/2), u = 1, And(-1 < x,x
< 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2, 12, 5, 4, 2], [v = -2
^(1/2), u = 1, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[2, 12, 5, 4, 3], [v = -2^(1/2), u = 1, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2
, 12, 5, 4, 4], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2],
[0, 0], [741455/1048576, 46341/65536]]]], [[2, 12, 5, 4, 5], [v = -2^(1/2), u
= 1, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2, 16, 8,
6, 1], [v = -2^(1/2), u = 3^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1, 1], [0
, 0], [0, 0]]]], [[2, 18, 6, 2, 1], [v = -2^(1/2), u = 2, x = 0, y = -3, z < -
3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0],
[-3, -3], [-3, -3]]]], [[2, 18, 6, 2, 2], [v = -2^(1/2), u = 2, x = 0, y = -3,
z = -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0
, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[2, 18, 6, 2, 3], [v
= -2^(1/2), u = 2, x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [-3, -3],
[-1/4194304, -1/4194304]]]], [[2, 18, 6, 2, 4], [v = -2^(1/2), u = 2, x = 0, y
= -3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[2, 18, 6, 2, 5], [
v = -2^(1/2), u = 2, x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [0, 0], [-3, -3], [3, 3]]]], [[3, 4, 6, 4, 1
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [0, 0], [-1, -1]]]], [[3, 4, 6, 4, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0]
, [0, 0], [0, 0]]]], [[3, 4, 6, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)
^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [0, 0], [0, 0], [1, 1]]]], [[3,
6, 5, 7, 1], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), 0 < y, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 10, 8, 7, 1], [And(-2^(1
/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [
1, 1], [0, 0]]]], [[3, 13, 1, 1, 1], [And(-2^(1/2) < v,v < -1), And(-v < u,u <
(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [-1, -1], [-3, -3]]]], [[3, 13, 1, 1, 2], [And(-2^(1/2) < v,v < -1), And(-
v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[3, 13, 1, 1, 3], [And(-2^
(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-1, -1], [0,
0]]]], [[3, 13, 1, 1, 4], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (v^2+1)^(1
/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [-1,
-1], [2, 2]]]], [[3, 13, 1, 1, 5], [And(-2^(1/2) < v,v < -1), And(-v < u,u < (
v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [-1, -1], [3, 3]]]], [[3, 14, 6, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^
2+1)^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1643659/1048576, 410915/262144], [0, 0], [1, 1], [0, 0]]]], [[3, 
16, 4, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, And(1 < y,
y < 2), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853
/65536, 1949649/1048576], [-1, -1], [3/2, 3/2], [0, 0]]]], [[4, 3, 1, 5, 1], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304
], [-4, -4], [2896825/1048576, 2896825/1048576], [-3, -3]]]], [[4, 3, 1, 5, 2]
, [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [2896825/1048576, 2896825/1048576], [-145801/131072, -\
1166407/1048576]]]], [[4, 3, 1, 5, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2))
, x < -u^2, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
2896825/1048576, 2896825/1048576], [0, 0]]]], [[4, 3, 1, 5, 4], [v = -1, And(-
3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
2896825/1048576, 2896825/1048576], [1166407/1048576, 145801/131072]]]], [[4, 3
, 1, 5, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-4, -4], [2896825/1048576, 2896825/1048576], [3, 3]]]], [[4
, 4, 9, 6, 1], [v = -1, u = -2^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[
-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [0, 0], [0, 0]]]], [[4, 
10, 7, 1, 1], [v = -1, u = 1, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -4], [-3, -3]]]], [[4, 10, 7, 1
, 2], [v = -1, u = 1, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [1, 1], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[4,
10, 7, 1, 3], [v = -1, u = 1, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -4], [0, 0]]]], [[4
, 10, 7, 1, 4], [v = -1, u = 1, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -4], [741455/524288, 1482911/
1048576]]]], [[4, 10, 7, 1, 5], [v = -1, u = 1, 1 < x, y < -1-x, (-x-y)^(1/2)
< z], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-4, -4], [3, 3]]]], [[4, 12,
8, 2, 1], [v = -1, u = 2^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[
4, 12, 8, 2, 2], [v = -1, u = 2^(1/2), x = 1, y = -3, z = -2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [-3, -3],
[-1482911/1048576, -741455/524288]]]], [[4, 12, 8, 2, 3], [v = -1, u = 2^(1/2)
, x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [1, 1], [-3, -3], [0, 0]]]], [[4, 12, 8, 2, 4
], [v = -1, u = 2^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[-1, -1
], [741455/524288, 1482911/1048576], [1, 1], [-3, -3], [741455/524288, 1482911
/1048576]]]], [[4, 12, 8, 2, 5], [v = -1, u = 2^(1/2), x = 1, y = -3, 2^(1/2)
< z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [-3
, -3], [3, 3]]]], [[5, 1, 5, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [-37/4, -37/4], [-5, -5]]]], [[5, 1, 5,
2, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2
-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2,
-1/2], [-37/4, -37/4], [-1637089/524288, -3274177/1048576]]]], [[5, 1, 5, 2, 3
], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-3, -3], [-1/2, -1/2], [-37/4, -37/4], [0, 0]]]], [[5, 1, 5, 2, 4], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [
-37/4, -37/4], [3274177/1048576, 1637089/524288]]]], [[5, 1, 5, 2, 5], [And(-1
< v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [-37/4,
-37/4], [5, 5]]]], [[5, 3, 2, 5, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z =
z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195
/1048576, -1291597/524288], [5652431/2097152, 5652431/2097152], [0, 0]]]], [[5
, 12, 7, 6, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = 0
, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [0, 0], [0, 0
]]]], [[6, 1, 4, 9, 1], [v = 0, u < -2^(1/2), x = -1, u^2 < y, z = z], [
regular_chain, [[0, 0], [-3, -3], [-1, -1], [10, 10], [0, 0]]]], [[6, 5, 3, 7,
1], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(u^2-x-1 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/
4, 3/4], [-2, -2]]]], [[6, 5, 3, 7, 2], [v = 0, And(-1 < u,u < 0), And(-u^2-1
< x,x < -1), And(u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-9/8, -9/8], [3/4, 3/4], [-1284239/2097152, -642119/1048576
]]]], [[6, 5, 3, 7, 3], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And
(u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/4, 3/4], [0, 0]]]], [[6, 5, 3, 7, 4]
, [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(u^2-x-1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/4,
3/4], [642119/1048576, 80265/131072]]]], [[6, 5, 3, 7, 5], [v = 0, And(-1 < u,
u < 0), And(-u^2-1 < x,x < -1), And(u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/4, 3/4], [2, 2]]]], [[6
, 7, 4, 6, 1], [v = 0, And(0 < u,u < 1), x = -1, y = u^2, z < -(-u^2+1)^(1/2)]
, [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/4, 1/4], [-2, -2]]]], [[6,
7, 4, 6, 2], [v = 0, And(0 < u,u < 1), x = -1, y = u^2, z = -(-u^2+1)^(1/2)],
[regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/4, 1/4], [-1816187/2097152,
-3632373/4194304]]]], [[6, 7, 4, 6, 3], [v = 0, And(0 < u,u < 1), x = -1, y =
u^2, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1
/2, 1/2], [-1, -1], [1/4, 1/4], [-1/8388608, -1/8388608]]]], [[6, 7, 4, 6, 4],
[v = 0, And(0 < u,u < 1), x = -1, y = u^2, z = (-u^2+1)^(1/2)], [regular_chain
, [[0, 0], [1/2, 1/2], [-1, -1], [1/4, 1/4], [908093/1048576, 454047/524288]]]
], [[6, 7, 4, 6, 5], [v = 0, And(0 < u,u < 1), x = -1, y = u^2, (-u^2+1)^(1/2)
< z], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/4, 1/4], [2, 2]]]], [[
7, 1, 5, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(
-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2,
-1/2], [35/8, 35/8], [0, 0]]]], [[7, 3, 3, 3, 1], [And(0 < v,v < 1), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-\
1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144
, -343151/262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -\
767309/2097152], [-3, -3]]]], [[7, 3, 3, 3, 2], [And(0 < v,v < 1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -\
767309/2097152], [-1518679/1048576, -759339/524288]]]], [[7, 3, 3, 3, 3], [And
(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,
x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-767309/2097152, -767309/2097152], [0, 0]]]], [[7
, 3, 3, 3, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-767309/2097152, -767309/2097152], [759339/524288
, 1518679/1048576]]]], [[7, 3, 3, 3, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -767309/
2097152], [3, 3]]]], [[7, 7, 5, 4, 1], [And(0 < v,v < 1), And(-v < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-7/8, -7/8], [0, 0], [-2, -2]]]], [[7, 7, 5, 4, 2], [And(0 < v,v
< 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [0, 0], [-7846825/8388608,
-980853/1048576]]]], [[7, 7, 5, 4, 3], [And(0 < v,v < 1), And(-v < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [0, 0], [0, 0]]]], [[7, 7, 5
, 4, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y =
0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [0, 0],
[980853/1048576, 490427/524288]]]], [[7, 7, 5, 4, 5], [And(0 < v,v < 1), And(-
v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [0, 0], [2, 2]]]], [[7, 9, 6
, 3, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-\
2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2
], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-\
3393259/8388608, -3393259/8388608], [-2, -2]]]], [[7, 9, 6, 3, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y <
0), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-624419/1048576, -1248837/2097152], [-3393259/8388608, -\
3393259/8388608], [-8796092874415/8796093022208, -35184371497659/
35184372088832]]]], [[7, 9, 6, 3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)
^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/2)
< z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-624419/1048576, -1248837/2097152], [-3393259/8388608, -\
3393259/8388608], [-32963259/70368744177664, -32963259/70368744177664]]]], [[7
, 9, 6, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
And(-2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152],
[-3393259/8388608, -3393259/8388608], [1048575/1048576, 1]]]], [[7, 9, 6, 3, 5
], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+
2*v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-\
3393259/8388608, -3393259/8388608], [2, 2]]]], [[7, 11, 4, 1, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -\
1], [-3, -3], [-3, -3]]]], [[7, 11, 4, 1, 2], [And(0 < v,v < 1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-3, -3]
, [-2, -2]]]], [[7, 11, 4, 1, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-3, -3
], [0, 0]]]], [[7, 11, 4, 1, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[1/2,
1/2], [343151/262144, 343151/262144], [-1, -1], [-3, -3], [2, 2]]]], [[7, 11,
4, 1, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-1, -1], [-3, -3], [3, 3]]]], [[7, 12, 9, 9, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [3
/2, 3/2], [2, 2], [1, 1], [0, 0]]]], [[8, 3, 7, 4, 1], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -x, z < 0], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-\
248903/1048576, -248903/1048576], [-1, -1]]]], [[8, 3, 7, 4, 2], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -x, z = 0], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/1048576,
248903/1048576], [-248903/1048576, -248903/1048576], [0, 0]]]], [[8, 3, 7, 4,
3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -x, 0 <
z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-248903/1048576, -248903/1048576], [1, 1]]]], [[8,
5, 6, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, z < -(
-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [-1138531/2097152, -569265/1048576], [-2, -2], [-3, -3]]]], [[8, 5, 6, 1, 2
], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, z = -(-u^2-y+2)^
(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1138531/2097152, -569265/1048576], [-2, -2], [-1672107/1048576, -3344213/
2097152]]]], [[8, 5, 6, 1, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y
< -2*u^2+2, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/
1048576], [-2, -2], [-1/4194304, -1/4194304]]]], [[8, 5, 6, 1, 4], [v = 1, And
(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-2, -2], [836053/524288, 1672107/1048576]]]], [[8,
5, 6, 1, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y < -2*u^2+2, (-u^2-
y+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576]
, [-1138531/2097152, -569265/1048576], [-2, -2], [3, 3]]]], [[8, 11, 5, 7, 1],
[v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [1/2, 1/2], [-2, -2]]]], [[8,
11, 5, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(u^2-x
-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [-3235683/4194304, -3235683/4194304], [1/2, 1/2], [-1092629/
2097152, -273157/524288]]]], [[8, 11, 5, 7, 3], [v = 1, And(1 < u,u < 2^(1/2))
, And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [1/2, 1/2], [0, 0]]]], [[8, 11, 5, 7, 4],
[v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [1/2, 1/2], [273157/524288, 
546315/1048576]]]], [[8, 11, 5, 7, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(-1
< x,x < u^2-2), And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304
], [1/2, 1/2], [2, 2]]]], [[8, 13, 4, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/
2)), x = -1, y = 1, z < 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097
/2097152], [-1, -1], [1, 1], [-1, -1]]]], [[8, 13, 4, 6, 2], [v = 1, And(2^(1/
2) < u,u < 3^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1, -1], [1, 1], [0, 0]]]], [[8, 13, 4, 6, 3], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [-1, -1], [1, 1], [1, 1]]]], [[9, 1, 
11, 1, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^
2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [8, 8], [-18, -18], [-5, -5]]]], [[9, 1, 11, 1, 2], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8
, 8], [-18, -18], [-3315889/1048576, -207243/65536]]]], [[9, 1, 11, 1, 3], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [8, 8], [-18, -18], [0, 0]]]], [[9, 1, 11, 1, 4],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -\
3], [8, 8], [-18, -18], [207243/65536, 3315889/1048576]]]], [[9, 1, 11, 1, 5],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1,
(-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -\
3], [8, 8], [-18, -18], [5, 5]]]], [[9, 3, 7, 9, 1], [And(1 < v,v < 2^(1/2)),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), u^2-v^2-
x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [2, 2]
, [0, 0]]]], [[9, 13, 6, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [-2, -2], [-3, -3]]]], [[9, 13,
6, 1, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1
, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1116681/
2097152, -139585/262144], [-2, -2], [-834339/524288, -3337355/2097152]]]], [[9
, 13, 6, 1, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2
-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1116681/2097152, -139585/262144], [-2, -2], [-1/4194304, -\
1/4194304]]]], [[9, 13, 6, 1, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+
1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [-2, -2], [1668677/1048576, 
834339/524288]]]], [[9, 13, 6, 1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [-2, -2], [3, 3]]]], [[9, 15, 4,
9, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-1, u^2-v^2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-1, -1], [3, 3], [0, 0]]]], [[10, 1, 11, 4, 1
], [v = 2^(1/2), u < -2, u^2-3 < x, y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [7, 7], [-7, -7], [-1, -1]]]], [[10, 1, 11
, 4, 2], [v = 2^(1/2), u < -2, u^2-3 < x, y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [7, 7], [-7, -7], [0, 0]]]], [[10,
1, 11, 4, 3], [v = 2^(1/2), u < -2, u^2-3 < x, y = -x, 0 < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [-7, -7], [1, 1]]]], [[10
, 3, 8, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(-2*u^2+4
< y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/1048576, 
126367/262144], [-28908433/16777216, -28908433/16777216], [-3, -3]]]], [[10, 3
, 8, 3, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(-2*u^2+4 <
y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/1048576, 
126367/262144], [-28908433/16777216, -28908433/16777216], [-4563/4096, -\
1168127/1048576]]]], [[10, 3, 8, 3, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2
-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-28908433/
16777216, -28908433/16777216], [0, 0]]]], [[10, 3, 8, 3, 4], [v = 2^(1/2), And
(-2 < u,u < -3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = (-u^2-y+3)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [505467/1048576, 126367/262144], [-28908433/16777216, -\
28908433/16777216], [1168127/1048576, 4563/4096]]]], [[10, 3, 8, 3, 5], [v = 2
^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), (-u
^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-\
28908433/16777216, -28908433/16777216], [3, 3]]]], [[10, 9, 6, 2, 1], [v = 2^(
1/2), And(-1 < u,u < 0), x = 0, y = u^2-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-11/4
, -11/4], [-3, -3]]]], [[10, 9, 6, 2, 2], [v = 2^(1/2), And(-1 < u,u < 0), x =
0, y = u^2-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [0, 0], [-11/4, -11/4], [-1738867/1048576, -3477733/
2097152]]]], [[10, 9, 6, 2, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, y = u^
2-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-11/4, -11/4], [-1/4194304, -\
1/4194304]]]], [[10, 9, 6, 2, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, y =
u^2-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [0, 0], [-11/4, -11/4], [869433/524288, 1738867/1048576]]]], [[
10, 9, 6, 2, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, y = u^2-3, (-u^2+3)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0
, 0], [-11/4, -11/4], [3, 3]]]], [[10, 11, 3, 3, 1], [v = 2^(1/2), And(0 < u,u
< 1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8],
[-7/16, -7/16], [-3, -3]]]], [[10, 11, 3, 3, 2], [v = 2^(1/2), And(0 < u,u < 1
), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8],
[-7/16, -7/16], [-24915/16384, -3189119/2097152]]]], [[10, 11, 3, 3, 3], [v =
2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [1/2, 1/2], [-15/8, -15/8], [-7/16, -7/16], [-1/4194304, -1/4194304
]]]], [[10, 11, 3, 3, 4], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1
), And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [-7/16, -7/16], [1594559/1048576
, 24915/16384]]]], [[10, 11, 3, 3, 5], [v = 2^(1/2), And(0 < u,u < 1), And(u^2
-3 < x,x < -1), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [-7/16, -7/16], [
3, 3]]]], [[10, 15, 6, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3,
y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/
524288], [-2, -2], [-3, -3]]]], [[10, 15, 6, 1, 2], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = u^2-3, y < -2*u^2+4, z = -(-u^2-y+3)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [-2, -2], [-833149/524288, -3332595/2097152]
]]], [[10, 15, 6, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y <
-2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1101541
/2097152, -275385/524288], [-2, -2], [-1/4194304, -1/4194304]]]], [[10, 15, 6,
1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y < -2*u^2+4, z = (-u^
2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-2, -2], [
1666297/1048576, 833149/524288]]]], [[10, 15, 6, 1, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [-2, -2], [3, 3]]]], [[10, 17, 4, 9, 1], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, u^2-2 < y, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1
], [3, 3], [0, 0]]]], [[10, 18, 9, 9, 1], [v = 2^(1/2), u = 2, 1 < x, 0 < y, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2], [2, 2], [1, 1
], [0, 0]]]], [[11, 1, 6, 6, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, y =
u^2-v^2-1, z = z], [regular_chain, [[3, 3], [-5, -5], [0, 0], [15, 15], [0, 0]
]]], [[11, 5, 5, 8, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 <
x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1579769/2097152, -1579769/2097152], [197471/262144, 789885/
1048576], [-1, -1]]]], [[11, 5, 5, 8, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u
,u < -v), And(-1 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [
197471/262144, 789885/1048576], [0, 0]]]], [[11, 5, 5, 8, 3], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152, -\
1579769/2097152], [197471/262144, 789885/1048576], [1, 1]]]], [[11, 7, 6, 3, 1
], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v
^2 < y,y < 0), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-133001/262144
, -133001/262144], [-2, -2]]]], [[11, 7, 6, 3, 2], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^2-y
+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [-133001/262144, -133001/262144], [-\
8796092106889/8796093022208, -1099511513361/1099511627776]]]], [[11, 7, 6, 3,
3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*
v^2 < y,y < 0), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144,
-516571/1048576], [-133001/262144, -133001/262144], [-934161/2199023255552, -\
934161/2199023255552]]]], [[11, 7, 6, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^
2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = (u^2-v^2-y+1)^(1/
2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [-133001/262144, -133001/262144], [1048575/1048576,
1]]]], [[11, 7, 6, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u
^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), (u^2-v^2-y+1)^(1/2) < z], [regular_chain
, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144, -516571/
1048576], [-133001/262144, -133001/262144], [2, 2]]]], [[11, 12, 8, 1, 1], [2^
(1/2) < v, u = (v^2-2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [-5, -5], [-3,
-3]]]], [[11, 12, 8, 1, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, y < -4, z
= -(-y-1)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1,
1], [-5, -5], [-2, -2]]]], [[11, 12, 8, 1, 3], [2^(1/2) < v, u = (v^2-2)^(1/2)
, x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3
, 3], [2774271/1048576, 10837/4096], [1, 1], [-5, -5], [0, 0]]]], [[11, 12, 8,
1, 4], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [-5, -5], [2, 2
]]]], [[11, 12, 8, 1, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, y < -4, (-y-\
1)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1],
[-5, -5], [3, 3]]]], [[11, 14, 6, 1, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [0, 0], [-3, -3], [-3, -3]]]], [[11, 14, 6, 1, 2], [2^(1/2) < v, u =
(v^2-1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373
/2097152]]]], [[11, 14, 6, 1, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, y <
-2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[11,
14, 6, 1, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[11, 14, 6, 1, 5], [2^(1/2) < v, u = (v^2
-1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [0, 0], [-3, -3], [3, 3]]]], [[11, 18, 9, 5, 1], [2^
(1/2) < v, u = (v^2+1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain
, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [-1, -1], [0, 0]]]], [[11,
20, 6, 4, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [0, 0], [-1
, -1]]]], [[11, 20, 6, 4, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, y = 0, z
= 0], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [0,
0], [0, 0]]]], [[11, 20, 6, 4, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, y =
0, 0 < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0],
[0, 0], [1, 1]]]], [[1, 5, 5, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/
2097152, -1579769/2097152], [-1552149/4194304, -1552149/4194304], [-3, -3]]]],
[[1, 5, 5, 3, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x <
u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152, -1579769/
2097152], [-1552149/4194304, -1552149/4194304], [-1111369/1048576, -138921/
131072]]]], [[1, 5, 5, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [-1579769/2097152, -1579769/2097152], [-1552149/4194304, -1552149/4194304],
[0, 0]]]], [[1, 5, 5, 3, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And
(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [-1552149/4194304, -1552149/4194304], [138921/131072, 
1111369/1048576]]]], [[1, 5, 5, 3, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z
], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/
2097152, -1579769/2097152], [-1552149/4194304, -1552149/4194304], [3, 3]]]], [
[1, 7, 6, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1,
y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [-\
1064009/1048576, -133001/131072], [-3, -3]]]], [[1, 7, 6, 2, 2], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-129143/262144, -516571/1048576], [-1064009/1048576, -133001/131072], [-\
1287385/1048576, -160923/131072]]]], [[1, 7, 6, 2, 3], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2
) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-129143/262144, -516571/1048576], [-1064009/1048576, -\
133001/131072], [0, 0]]]], [[1, 7, 6, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^
2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [-1064009/1048576, -133001/131072], [160923/131072,
1287385/1048576]]]], [[1, 7, 6, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-129143/
262144, -516571/1048576], [-1064009/1048576, -133001/131072], [3, 3]]]], [[1,
11, 4, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1
, -u^2+v^2 < y, z = z], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [10, 10],
[0, 0]]]], [[1, 13, 2, 3, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)],
[regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152
, -657547/262144], [657547/524288, 657547/524288], [-3, -3]]]], [[1, 13, 2, 3,
2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, 
And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -\
3], [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [
657547/524288, 657547/524288], [-1174299/1048576, -587149/524288]]]], [[1, 13,
2, 3, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2
-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1
)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
5260377/2097152, -657547/262144], [657547/524288, 657547/524288], [0, 0]]]], [
[1, 13, 2, 3, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152,
-657547/262144], [657547/524288, 657547/524288], [587149/524288, 1174299/
1048576]]]], [[1, 13, 2, 3, 5], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z]
, [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/
2097152, -657547/262144], [657547/524288, 657547/524288], [3, 3]]]], [[1, 18,
8, 7, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [1, 1], [0,
0]]]], [[1, 20, 6, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, And(-3 < y,
y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867
/524288], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[1, 20, 6, 3, 2], [v < -2^(1/2),
u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[1, 20, 6, 3, 3], [v < -2^(1/2), u = (v^2+2)^(1/
2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [-3/2, -3
/2], [0, 0]]]], [[1, 20, 6, 3, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, 
And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/
1048576]]]], [[1, 20, 6, 3, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, And(-\
3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [0, 0], [-3/2, -3/2], [3, 3]]]], [[2, 3, 3, 3, 1], [v = -2^(1
/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
1554043/4194304, -1554043/4194304], [-3, -3]]]], [[2, 3, 3, 3, 2], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
1554043/4194304, -1554043/4194304], [-380925/262144, -1523699/1048576]]]], [[2
, 3, 3, 3, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1)
, And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -\
1554043/4194304], [0, 0]]]], [[2, 3, 3, 3, 4], [v = -2^(1/2), And(-2 < u,u < -
3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -\
1554043/4194304], [1523699/1048576, 380925/262144]]]], [[2, 3, 3, 3, 5], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
1554043/4194304, -1554043/4194304], [3, 3]]]], [[2, 5, 2, 4, 1], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/262144, 995613/
1048576], [-2, -2]]]], [[2, 5, 2, 4, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), x = -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1546383/
1048576, -773191/524288], [248903/262144, 995613/1048576], [-379975/524288, -\
1519899/2097152]]]], [[2, 5, 2, 4, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/262144, 995613/
1048576], [-1/4194304, -1/4194304]]]], [[2, 5, 2, 4, 4], [v = -2^(1/2), And(-3
^(1/2) < u,u < v), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/262144, 995613/
1048576], [759949/1048576, 379975/524288]]]], [[2, 5, 2, 4, 5], [v = -2^(1/2),
And(-3^(1/2) < u,u < v), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/262144, 995613/
1048576], [2, 2]]]], [[2, 7, 1, 6, 1], [v = -2^(1/2), And(v < u,u < -1), x < u
^2-3, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [2666417/
1048576, 1333209/524288], [-2, -2]]]], [[2, 7, 1, 6, 2], [v = -2^(1/2), And(v
< u,u < -1), x < u^2-3, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [2666417/1048576, 1333209/524288], [-1417877/2097152, -354469/524288]]]],
[[2, 7, 1, 6, 3], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y = -u^2-x+1, 
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [2666417/
1048576, 1333209/524288], [0, 0]]]], [[2, 7, 1, 6, 4], [v = -2^(1/2), And(v <
u,u < -1), x < u^2-3, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [2666417/1048576, 1333209/524288], [354469/524288, 708939/1048576]]]], [[2
, 7, 1, 6, 5], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y = -u^2-x+1, (u^2
-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-3, -3], [2666417/1048576, 1333209/524288], [2,
2]]]], [[2, 8, 9, 7, 1], [v = -2^(1/2), u = -1, 1 < x, 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [1, 1],
[0, 0]]]], [[2, 12, 8, 3, 1], [v = -2^(1/2), u = 1, x = 1, And(-3 < y,y < -1),
z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1
], [1, 1], [-2, -2], [-2, -2]]]], [[2, 12, 8, 3, 2], [v = -2^(1/2), u = 1, x =
1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [1, 1], [-2, -2], [-1, -1]]]], [[2, 12, 8, 3, 3], [v
= -2^(1/2), u = 1, x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1],
[-2, -2], [0, 0]]]], [[2, 12, 8, 3, 4], [v = -2^(1/2), u = 1, x = 1, And(-3 <
y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [1, 1], [-2, -2], [1, 1]]]], [[2, 12, 8, 3, 5], [v = -2^(1/2)
, u = 1, x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [-2, -2], [2, 2]]]], [[2, 14
, 7, 4, 1], [v = -2^(1/2), u = -v, 1 < x, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-\
2, -2], [-1, -1]]]], [[2, 14, 7, 4, 2], [v = -2^(1/2), u = -v, 1 < x, y = -x,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [2, 2], [-2, -2], [0, 0]]]], [[2, 14, 7, 4, 3], [v = -2^(1/2
), u = -v, 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [2, 2], [-2, -2], [1, 1]]]], [[3, 1
, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And
(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3, -3], [-10, -10], [27832241/2097152, 27832241/2097152], [0, 0]]
]], [[3, 2, 8, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y
< -4, z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [-3, -3]]]], [[3, 2
, 8, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y < -4, z =
-(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [-2, -2]]]], [[3, 2, 8,
1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y < -4, And(-(-y-\
1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [0, 0]]]], [
[3, 2, 8, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y < -4,
z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1, 1], [-5, -5], [2, 2]]]], [[3, 2, 8, 1,
5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y < -4, (-y-1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [1, 1], [-5, -5], [3, 3]]]], [[3, 7, 1, 4, 1], [And(-2^(1
/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1
, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/524288, 
1498947/1048576], [-3, -3]]]], [[3, 7, 1, 4, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [749473/524288, 1498947/1048576], [-\
1314069/1048576, -328517/262144]]]], [[3, 7, 1, 4, 3], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-u^2+
v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/
524288, 1498947/1048576], [0, 0]]]], [[3, 7, 1, 4, 4], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363
/4194304, -3949363/4194304], [-3, -3], [749473/524288, 1498947/1048576], [
328517/262144, 1314069/1048576]]]], [[3, 7, 1, 4, 5], [And(-2^(1/2) < v,v < -1
), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [749473/524288, 1498947/1048576], [3, 3]
]]], [[3, 8, 9, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, 
And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [2, 2], [-1, -1], [0, 0]]]], [[4
, 1, 1, 9, 1], [v = -1, u < -3^(1/2), x < -u^2, u^2-x-2 < y, z = z], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [18, 18], [0, 0]]]], [[4, 2, 8
, 3, 1], [v = -1, u = -3^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-5/2
, -5/2], [-3, -3]]]], [[4, 2, 8, 3, 2], [v = -1, u = -3^(1/2), x = 1, And(-4 <
y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-5/2, -5/2], [-1284239/1048576, -642119/524288]]]],
[[4, 2, 8, 3, 3], [v = -1, u = -3^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1
)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576,
-3632373/2097152], [1, 1], [-5/2, -5/2], [0, 0]]]], [[4, 2, 8, 3, 4], [v = -1,
u = -3^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-5/2, -5/2], [642119/
524288, 1284239/1048576]]]], [[4, 2, 8, 3, 5], [v = -1, u = -3^(1/2), x = 1, 
And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [1, 1], [-5/2, -5/2], [3, 3]]]], [[4, 7, 1, 8, 1],
[v = -1, And(-1 < u,u < 0), x < u^2-2, y = -x, z < 0], [regular_chain, [[-1, -\
1], [-1/2, -1/2], [-3, -3], [3, 3], [-1, -1]]]], [[4, 7, 1, 8, 2], [v = -1, 
And(-1 < u,u < 0), x < u^2-2, y = -x, z = 0], [regular_chain, [[-1, -1], [-1/2
, -1/2], [-3, -3], [3, 3], [0, 0]]]], [[4, 7, 1, 8, 3], [v = -1, And(-1 < u,u
< 0), x < u^2-2, y = -x, 0 < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3,
-3], [3, 3], [1, 1]]]], [[4, 9, 1, 2, 1], [v = -1, And(0 < u,u < 1), x < u^2-2
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [0
, 0], [-3, -3]]]], [[4, 9, 1, 2, 2], [v = -1, And(0 < u,u < 1), x < u^2-2, y =
0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [0, 0],
[-1816187/1048576, -3632373/2097152]]]], [[4, 9, 1, 2, 3], [v = -1, And(0 < u,
u < 1), x < u^2-2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-1, -1], [1/2, 1/2], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[4, 9
, 1, 2, 4], [v = -1, And(0 < u,u < 1), x < u^2-2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[4, 9, 1, 2, 5], [v = -1, And(0 < u,u < 1), x < u^2-2, y
= 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [1/2, 1/2], [-3, -3], [0, 0],
[3, 3]]]], [[4, 14, 5, 6, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1
/2], [1/2, 1/2], [-1, -1]]]], [[4, 14, 5, 6, 2], [v = -1, u = 3^(1/2), And(-1
< x,x < 0), y = -x, z = 0], [regular_chain, [[-1, -1], [908093/524288, 1816187
/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[4, 14, 5, 6, 3], [v = -1, u
= 3^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[5, 1,
3, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1),
y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3,
-3], [-43/8, -43/8], [-35/8, -35/8], [-5, -5]]]], [[5, 1, 3, 2, 2], [And(-1 <
v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8]
, [-35/8, -35/8], [-1637089/524288, -3274177/1048576]]]], [[5, 1, 3, 2, 3], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^
2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-3, -3], [-43/8, -43/8], [-35/8, -35/8], [0, 0]]]], [[5, 1, 3, 2,
4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u
^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [
-43/8, -43/8], [-35/8, -35/8], [3274177/1048576, 1637089/524288]]]], [[5, 1, 3
, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3
], [-43/8, -43/8], [-35/8, -35/8], [5, 5]]]], [[5, 5, 1, 9, 1], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, -x < y, z = z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[4, 4], [0, 0]]]], [[5, 7, 3, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), 
And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-2, -2], [-3, -3]]]], [[5, 7, 3, 1, 2]
, [And(-1 < v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^
2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8]
, [-2, -2], [-7414553/4194304, -926819/524288]]]], [[5, 7, 3, 1, 3], [And(-1 <
v,v < 0), And(v < u,u < -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
9/8, -9/8], [-2, -2], [0, 0]]]], [[5, 7, 3, 1, 4], [And(-1 < v,v < 0), And(v <
u,u < -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-2, -2], [926819/524288,
1853639/1048576]]]], [[5, 7, 3, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v),
And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [0, 0], [-9/8, -9/8], [-2, -2], [3, 3]]]], [[5, 9, 1, 8, 1], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z <
0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3, -3
], [3, 3], [-1, -1]]]], [[5, 9, 1, 8, 2], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-3, -3], [3, 3], [0, 0]]]], [[5, 9, 1, 8,
3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x,
0 < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-3
, -3], [3, 3], [1, 1]]]], [[5, 11, 1, 2, 1], [And(-1 < v,v < 0), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [0, 0]
, [-3, -3]]]], [[5, 11, 1, 2, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [0, 0], [-2, -2]]]], [[5
, 11, 1, 2, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [0, 0], [0, 0]]]], [[5
, 11, 1, 2, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151
/262144, 343151/262144], [-4, -4], [0, 0], [2, 2]]]], [[5, 11, 1, 2, 5], [And(
-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0
, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-4, -4], [0, 0], [3, 3]]]], [[6, 1, 7, 2, 1], [v = 0, u < -2^(1/2),
And(0 < x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [1/2, 1/2], [-21/2, -21/2], [-5, -5]]]], [[6, 1, 7, 2, 2], [v = 0, u
< -2^(1/2), And(0 < x,x < 1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-21/2, -21/2], [-3315889/
1048576, -207243/65536]]]], [[6, 1, 7, 2, 3], [v = 0, u < -2^(1/2), And(0 < x,
x < 1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-21/2, -21/2], [0, 0]]]], [[6,
1, 7, 2, 4], [v = 0, u < -2^(1/2), And(0 < x,x < 1), y = -u^2-x-1, z = (u^2+1)
^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-21/2, -21/2], [
207243/65536, 3315889/1048576]]]], [[6, 1, 7, 2, 5], [v = 0, u < -2^(1/2), And
(0 < x,x < 1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-3,
-3], [1/2, 1/2], [-21/2, -21/2], [5, 5]]]], [[6, 3, 4, 5, 1], [v = 0, And(-2^(
1/2) < u,u < -1), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain,
[[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]
]], [[6, 3, 4, 5, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y <
1), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[6, 3
, 4, 5, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < 1), And(-(
1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576,
-1265743/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[6, 3, 4, 5, 4], [v = 0,
And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[6, 3, 4, 5, 5], [v = 0, And(-2^(1/2)
< u,u < -1), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[6
, 9, 1, 9, 1], [v = 0, And(1 < u,u < 2^(1/2)), x < -u^2-1, u^2-x-1 < y, z = z]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-4, -4], [6, 6
], [0, 0]]]], [[6, 10, 8, 3, 1], [v = 0, u = 2^(1/2), x = 1, And(-4 < y,y < -1
), z < -(-y-1)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[6, 10, 8, 3, 2], [v = 0, u = 2^
(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[0, 0],
[741455/524288, 1482911/1048576], [1, 1], [-5/2, -5/2], [-1284239/1048576, -\
642119/524288]]]], [[6, 10, 8, 3, 3], [v = 0, u = 2^(1/2), x = 1, And(-4 < y,y
< -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [1, 1], [-5/2, -5/2], [0, 0]]]], [[6, 10, 8,
3, 4], [v = 0, u = 2^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1], [-5/2, -5/2]
, [642119/524288, 1284239/1048576]]]], [[6, 10, 8, 3, 5], [v = 0, u = 2^(1/2),
x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [741455
/524288, 1482911/1048576], [1, 1], [-5/2, -5/2], [3, 3]]]], [[7, 3, 5, 3, 1],
[And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [-1/2, -1/2], [-32942499/33554432, -\
32942499/33554432], [-3, -3]]]], [[7, 3, 5, 3, 2], [And(0 < v,v < 1), And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [-\
159551/131072, -1276407/1048576]]]], [[7, 3, 5, 3, 3], [And(0 < v,v < 1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2
], [-343151/262144, -343151/262144], [-1/2, -1/2], [-32942499/33554432, -\
32942499/33554432], [0, 0]]]], [[7, 3, 5, 3, 4], [And(0 < v,v < 1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [1276407/
1048576, 159551/131072]]]], [[7, 3, 5, 3, 5], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0),
(-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [3, 3]]]], [[
7, 5, 4, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y =
u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [424157/1048576, 212079/524288], [-2, -2
]]]], [[7, 5, 4, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x =
-1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [424157/1048576, 212079/524288],
[-1618333/2097152, -3236665/4194304]]]], [[7, 5, 4, 6, 3], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) <
z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [424157/1048576, 212079/524288], [-1/8388608, -1/
8388608]]]], [[7, 5, 4, 6, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-1, -1], [424157/1048576, 212079/524288
], [404583/524288, 809167/1048576]]]], [[7, 5, 4, 6, 5], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [
424157/1048576, 212079/524288], [2, 2]]]], [[8, 1, 7, 8, 1], [v = 1, u < -3^(1
/2), And(0 < x,x < 1), y = u^2-x-2, z = z], [regular_chain, [[1, 1], [-3, -3],
[1/2, 1/2], [13/2, 13/2], [0, 0]]]], [[8, 3, 4, 7, 1], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), x = -1, And(1 < y,y < u^2-1), z = z], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [-1, -1], [1297479/1048576, 1297479/
1048576], [0, 0]]]], [[8, 7, 7, 5, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x
,x < 0), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16], [-2, -2]]]], [[8, 7, 7, 5, 2], [v =
1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16], [
-454047/1048576, -227023/524288]]]], [[8, 7, 7, 5, 3], [v = 1, And(-1 < u,u <
0), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1/16, -1/16
], [0, 0]]]], [[8, 7, 7, 5, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0)
, And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1
/2], [-1/8, -1/8], [-1/16, -1/16], [227023/524288, 454047/1048576]]]], [[8, 7,
7, 5, 5], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(-u^2-x < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1
/16, -1/16], [2, 2]]]], [[8, 9, 6, 2, 1], [v = 1, And(0 < u,u < 1), x = -u^2,
y = 2*u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4,
-1/4], [-3/2, -3/2], [-3, -3]]]], [[8, 9, 6, 2, 2], [v = 1, And(0 < u,u < 1),
x = -u^2, y = 2*u^2-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/
2], [-1/4, -1/4], [-3/2, -3/2], [-10837/8192, -1387135/1048576]]]], [[8, 9, 6,
2, 3], [v = 1, And(0 < u,u < 1), x = -u^2, y = 2*u^2-2, And(-(-u^2+2)^(1/2) <
z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [-3
/2, -3/2], [0, 0]]]], [[8, 9, 6, 2, 4], [v = 1, And(0 < u,u < 1), x = -u^2, y
= 2*u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1
/4], [-3/2, -3/2], [1387135/1048576, 10837/8192]]]], [[8, 9, 6, 2, 5], [v = 1,
And(0 < u,u < 1), x = -u^2, y = 2*u^2-2, (-u^2+2)^(1/2) < z], [regular_chain,
[[1, 1], [1/2, 1/2], [-1/4, -1/4], [-3/2, -3/2], [3, 3]]]], [[8, 15, 2, 5, 1],
[v = 1, 3^(1/2) < u, x = -u^2, And(u^2 < y,y < 2*u^2-2), z = z], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [25/2, 25/2], [0, 0]]]], [[9, 1, 8,
4, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-1, -1]
, [-1, -1]]]], [[9, 1, 8, 4, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [1, 1], [-1, -1], [0, 0]]]], [[9, 1, 8, 4, 3], [And(1 < v,v < 2^(1/2))
, u < -(v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3, -3], [1, 1], [-1, -1], [1, 1]]]], [[9, 5, 7, 6, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [0, 0], [-2, -2]]]], [[9, 5, 7, 6, 2], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [0, 0], [-270523/524288,
-1082091/2097152]]]], [[9, 5, 7, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [0, 0], [-1/
4194304, -1/4194304]]]], [[9, 5, 7, 6, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+
1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [0, 0], [541045/1048576,
270523/524288]]]], [[9, 5, 7, 6, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/
2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [0, 0], [2, 2]]]], [[9,
7, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y
< u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-3, -3], [-3, -3]]]],
[[9, 7, 8, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[9, 7, 8, 1, 3], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[9
, 7, 8, 1, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0,
y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-3, -3], [908093/
524288, 1816187/1048576]]]], [[9, 7, 8, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
0, 0], [-3, -3], [3, 3]]]], [[9, 9, 5, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), -u^2+v^2-x-1 < y, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2],
[2, 2], [0, 0]]]], [[9, 11, 4, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x = -1, y = 1, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [1, 1], [-1, -1]
]]], [[9, 11, 4, 8, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x = -1, y = 1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [1, 1], [0, 0]]]], [[9, 11, 4, 8, 3
], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = 1, 0 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [1, 1], [1, 1]]]], [[9, 15, 7, 6, 1], [And(1 < v,v
< 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1)
, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [501965/2097152, 501965/2097152], [0, 0], [0, 0]]]], [
[9, 17, 4, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(0 <
y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9, 17, 4, 5, 2], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [1/
2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[9, 17, 4, 5, 3], [And(1 < v
,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[9, 17, 4, 5, 4], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [1/2, 1/
2], [741455/1048576, 46341/65536]]]], [[9, 17, 4, 5, 5], [And(1 < v,v < 2^(1/2
)), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[10, 5, 6, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-275385/524288, -\
1101539/2097152], [-2, -2], [-3, -3]]]], [[10, 5, 6, 1, 2], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), x = u^2-3, y < -2*u^2+4, z = -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [-2, -2], [-3332595/2097152, -\
1666297/1048576]]]], [[10, 5, 6, 1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [-2, -2], [0, 0]]]], [[10, 5, 6,
1, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, y < -2*u^2+4, z = (-
u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [-2, -2], [
1666297/1048576, 833149/524288]]]], [[10, 5, 6, 1, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), x = u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [-2, -2], [3, 3]]]], [[10, 7, 6,
5, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, And(0 < y,y < u^2-1), z <
-(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [239655
/1048576, 239655/1048576], [-2, -2]]]], [[10, 7, 6, 5, 2], [v = 2^(1/2), And(-
v < u,u < -1), x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-479311/1048576, -239655/524288], [239655/1048576, 239655/1048576],
[-31331/65536, -501295/1048576]]]], [[10, 7, 6, 5, 3], [v = 2^(1/2), And(-v <
u,u < -1), x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2
-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [239655/1048576
, 239655/1048576], [0, 0]]]], [[10, 7, 6, 5, 4], [v = 2^(1/2), And(-v < u,u <
-1), x = -u^2+1, And(0 < y,y < u^2-1), z = (u^2-y-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [239655/1048576, 239655/1048576], [501295/
1048576, 31331/65536]]]], [[10, 7, 6, 5, 5], [v = 2^(1/2), And(-v < u,u < -1),
x = -u^2+1, And(0 < y,y < u^2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [239655/1048576, 239655/1048576], [2, 2]]]],
[[10, 11, 5, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(-x
< y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [-1/2, -1/2], [7/8, 7/8], [0, 0]]]], [[10, 13, 4, 6, 1], [v = 2^(1
/2), And(1 < u,u < v), x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1,
-1], [569265/1048576, 284633/524288], [-2, -2]]]], [[10, 13, 4, 6, 2], [v = 2^
(1/2), And(1 < u,u < v), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [569265/1048576, 284633/524288], [-1417877/2097152, -\
354469/524288]]]], [[10, 13, 4, 6, 3], [v = 2^(1/2), And(1 < u,u < v), x = -1,
y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1],
[569265/1048576, 284633/524288], [0, 0]]]], [[10, 13, 4, 6, 4], [v = 2^(1/2),
And(1 < u,u < v), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1, -1],
[569265/1048576, 284633/524288], [354469/524288, 708939/1048576]]]], [[10, 13,
4, 6, 5], [v = 2^(1/2), And(1 < u,u < v), x = -1, y = -u^2+2, (u^2-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [569265/1048576, 284633/524288], [2, 2]]]], [[11,
3, 4, 5, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1,
And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 3, 4, 5,
2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 <
y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[11, 3, 4, 5, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1/2,
1/2], [0, 0]]]], [[11, 3, 4, 5, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[
3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[11, 3, 4, 5, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1/2,
1/2], [2, 2]]]], [[11, 5, 3, 4, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -
v), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [0
, 0], [-3, -3]]]], [[11, 5, 3, 4, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [0
, 0], [-1170799/1048576, -585399/524288]]]], [[11, 5, 3, 4, 3], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [0, 0], [0, 0]]]], [[11, 5, 3,
4, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1
), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [0, 0], [585399/524288, 1170799
/1048576]]]], [[11, 5, 3, 4, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0],
[3, 3]]]], [[11, 9, 6, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [0, 0], [-657547/262144, -5260375/
2097152], [-3, -3]]]], [[11, 9, 6, 2, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
657547/262144, -5260375/2097152], [-3321417/2097152, -415177/262144]]]], [[11,
9, 6, 2, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0,
y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
657547/262144, -5260375/2097152], [0, 0]]]], [[11, 9, 6, 2, 4], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[0, 0], [-657547/262144, -5260375/2097152], [415177/262144, 1660709/1048576]]]
], [[11, 9, 6, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2))
, x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [0, 0], [-657547/262144, -5260375/
2097152], [3, 3]]]], [[11, 11, 3, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [-9/4, -9/4],
[-4, -4]]]], [[11, 11, 3, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [-9/4, -9/4], [-\
11676449/4194304, -364889/131072]]]], [[11, 11, 3, 3, 3], [2^(1/2) < v, And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-\
1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3
], [0, 0], [-11/2, -11/2], [-9/4, -9/4], [0, 0]]]], [[11, 11, 3, 3, 4], [2^(1/
2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1),
And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0]
, [-11/2, -11/2], [-9/4, -9/4], [364889/131072, 2919113/1048576]]]], [[11, 11,
3, 3, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2
-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [0, 0], [-11/2, -11/2], [-9/4, -9/4], [4, 4]]]], [[11, 16, 5, 7, 1],
[2^(1/2) < v, u = v, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[3, 3],
[3, 3], [1/2, 1/2], [1, 1], [0, 0]]]], [[11, 18, 6, 2, 1], [2^(1/2) < v, u = (
v^2+1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[11, 18, 6, 2, 2], [2
^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [
[3, 3], [207243/65536, 3315889/1048576], [0, 0], [-2, -2], [-1482911/1048576,
-741455/524288]]]], [[11, 18, 6, 2, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0
, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [0, 0], [-2, -2], [0, 0]]]], [[11, 18, 6, 2, 4], [2^(
1/2) < v, u = (v^2+1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [0, 0], [-2, -2], [741455/524288, 1482911
/1048576]]]], [[11, 18, 6, 2, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y =
-2, 2^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0
, 0], [-2, -2], [3, 3]]]], [[1, 1, 8, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2)
, x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [0, 0], [
0, 0]]]], [[1, 3, 5, 9, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1,
7, 8, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-\
1 < y,y < -u^2+v^2-1), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [0, 0], [-1, -1], [-2, -2]]]], [[1, 7, 8, 3, 2], [
v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2
+v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [-1, -1], [-1, -1]]]], [[1, 7, 8, 3, 3], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [0, 0], [-1, -1], [0, 0]]]], [[1, 7, 8, 3, 4], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v
^2-1), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [0, 0], [-1, -1], [1, 1]]]], [[1, 7, 8, 3, 5], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2)
< z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0, 0],
[-1, -1], [2, 2]]]], [[1, 9, 7, 6, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = 0, z = z], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/
2097152], [0, 0], [0, 0]]]], [[1, 14, 8, 5, 1], [v < -2^(1/2), u = (v^2-1)^(1/
2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 16, 7, 6, 1],
[v < -2^(1/2), u = -v, 1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [3, 3]
, [2, 2], [0, 0], [0, 0]]]], [[1, 20, 8, 4, 1], [v < -2^(1/2), u = (v^2+2)^(1/
2), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [1, 1], [-1, -1], [-1, -1]]]], [[1, 20, 8, 4, 2], [v < -2^(1/
2), u = (v^2+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [1, 1], [-1, -1], [0, 0]]]], [[1, 20, 8, 4,
3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [
[-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [-1, -1], [1, 1]]]], [[2,
1, 5, 7, 1], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), And(-x < y,y < u^2-x-3)
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2
, -1/2], [7/2, 7/2], [0, 0]]]], [[2, 10, 7, 3, 1], [v = -2^(1/2), u = 0, And(0
< x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-2, -2], [-3, -3]]]], [
[2, 10, 7, 3, 2], [v = -2^(1/2), u = 0, And(0 < x,x < 1), And(-x-3 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[2, 10, 7, 3
, 3], [v = -2^(1/2), u = 0, And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [1/2, 1/2], [-2, -2], [0, 0]]]], [[2, 10, 7, 3, 4], [v = -2^(
1/2), u = 0, And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-2, -\
2], [642119/524288, 1284239/1048576]]]], [[2, 10, 7, 3, 5], [v = -2^(1/2), u =
0, And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-2, -2], [3, 3]]]],
[[2, 12, 5, 5, 1], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1
], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[2, 12, 5, 5, 2], [v = -2^(1/2), u
= 1, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[2, 12, 5, 5, 3], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]],
[[2, 12, 5, 5, 4], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1]
, [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 12, 5, 5, 5], [v = -2^(1/2), u
= 1, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]
]], [[2, 16, 8, 5, 1], [v = -2^(1/2), u = 3^(1/2), x = 1, And(-1 < y,y < 0), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 18, 6, 1, 1], [v = -2^
(1/2), u = 2, x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [0, 0], [-4, -4], [-3, -3]]]], [[2, 18, 6, 1
, 2], [v = -2^(1/2), u = 2, x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [0, 0], [-4, -4], [-2, -2]]]], [[2
, 18, 6, 1, 3], [v = -2^(1/2), u = 2, x = 0, y < -3, And(-(-y)^(1/2) < z,z < (
-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [0,
0], [-4, -4], [0, 0]]]], [[2, 18, 6, 1, 4], [v = -2^(1/2), u = 2, x = 0, y < -\
3, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [0, 0], [-4, -4], [2, 2]]]], [[2, 18, 6, 1, 5], [v = -2^(1/2), u = 2, x = 0
, y < -3, (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [0, 0], [-4, -4], [3, 3]]]], [[3, 4, 6, 5, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+1)^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0], [1, 1]
, [0, 0]]]], [[3, 6, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y < -2
, z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-1265743/1048576, -1265743/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[3, 6, 6,
1, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y < -2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[3
, 6, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y < -2, And(-(-y-1)^(1
/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-3, -3], [0, 0]]]], [
[3, 6, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y < -2, z = (-y-1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]
]]], [[3, 6, 6, 1, 5], [And(-2^(1/2) < v,v < -1), u = v, x = 1, y < -2, (-y-1)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [-3, -3], [3, 3]]]], [[3, 10, 8, 6, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [0, 0], [0, 0]]]], [[3, 12, 7, 7, 1], [And(-2^(1/2) < v,v <
-1), u = -v, 1 < x, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [1, 1], [0, 0]]]
], [[3, 14, 6, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, y =
0, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [0, 0], [0, 0], [-1, -1]]]], [[3, 14, 6, 4, 2], [And(
-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), x = 0, y = 0, z = 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [0, 0
], [0, 0], [0, 0]]]], [[3, 14, 6, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1
)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [0, 0], [0, 0], [1, 1]]]], [[3, 16
, 4, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y = 1, z < 0
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[3, 16, 4, 6, 2], [And(-2^(1
/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[1, 1], [0, 0]]]], [[3, 16, 4, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1, -1], [1, 1], [1, 1]]]], [[4, 3
, 1, 6, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = -x, z < 0],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-4, -4], [4,
4], [-1, -1]]]], [[4, 3, 1, 6, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x
< -u^2, y = -x, z = 0], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195
/4194304], [-4, -4], [4, 4], [0, 0]]]], [[4, 3, 1, 6, 3], [v = -1, And(-3^(1/2
) < u,u < -2^(1/2)), x < -u^2, y = -x, 0 < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-4, -4], [4, 4], [1, 1]]]], [[4, 4, 9, 7,
1], [v = -1, u = -2^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [2, 2], [1, 1], [0, 0]]]], [[4, 10, 6, 7, 1]
, [v = -1, u = 1, x = 1, 0 < y, z = z], [regular_chain, [[-1, -1], [1, 1], [1,
1], [1, 1], [0, 0]]]], [[4, 12, 8, 1, 1], [v = -1, u = 2^(1/2), x = 1, y < -3,
z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576
], [1, 1], [-4, -4], [-3, -3]]]], [[4, 12, 8, 1, 2], [v = -1, u = 2^(1/2), x =
1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[4, 12, 8, 1, 3], [v = -1, u = 2^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z
< (-y-1)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576],
[1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[4, 12, 8, 1, 4], [v = -1, u =
2^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]
], [[4, 12, 8, 1, 5], [v = -1, u = 2^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z],
[regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [-4, -4],
[3, 3]]]], [[5, 1, 5, 3, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-3, -3], [-1/2, -1/2], [-37/8, -37/8], [-4, -4]]]], [[5, 1, 5, 3,
2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-\
1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1
/2, -1/2], [-37/8, -37/8], [-2373815/1048576, -1186907/524288]]]], [[5, 1, 5,
3, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2
-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-3, -3], [-1/2, -1/2], [-37/8, -37/8], [0, 0]]]], [[5, 1, 5, 3, 4
], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2,
-1/2], [-37/8, -37/8], [1186907/524288, 2373815/1048576]]]], [[5, 1, 5, 3, 5],
[And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 <
y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -\
1/2], [-37/8, -37/8], [4, 4]]]], [[5, 3, 2, 6, 1], [And(-1 < v,v < 0), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [767309/262144, 3069237/1048576], [0, 0]]]], [[5, 
12, 7, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x
< y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-1
/4, -1/4], [0, 0]]]], [[6, 1, 4, 8, 1], [v = 0, u < -2^(1/2), x = -1, y = u^2,
z = z], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [9, 9], [0, 0]]]], [[6, 5
, 3, 8, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = -x, z < 0],
[regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [9/8, 9/8], [-1, -1]]]],
[[6, 5, 3, 8, 2], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = -x, z
= 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [9/8, 9/8], [0, 0]]
]], [[6, 5, 3, 8, 3], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = -
x, 0 < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [9/8, 9/8], [1
, 1]]]], [[6, 7, 4, 7, 1], [v = 0, And(0 < u,u < 1), x = -1, And(u^2 < y,y < 1
), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [5/8, 5/8
], [-2, -2]]]], [[6, 7, 4, 7, 2], [v = 0, And(0 < u,u < 1), x = -1, And(u^2 <
y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [5
/8, 5/8], [-1284239/2097152, -642119/1048576]]]], [[6, 7, 4, 7, 3], [v = 0, 
And(0 < u,u < 1), x = -1, And(u^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [5/8, 5/8], [0, 0]]]],
[[6, 7, 4, 7, 4], [v = 0, And(0 < u,u < 1), x = -1, And(u^2 < y,y < 1), z = (1
-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [5/8, 5/8], [642119
/1048576, 80265/131072]]]], [[6, 7, 4, 7, 5], [v = 0, And(0 < u,u < 1), x = -1
, And(u^2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [
-1, -1], [5/8, 5/8], [2, 2]]]], [[7, 1, 5, 6, 1], [And(0 < v,v < 1), u < -(v^2
+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-3
, -3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[7, 1, 5, 6, 2], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1
/2, 1/2], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[7, 1, 5, 6, 3], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[7
, 3, 3, 2, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [-3, -3]]]],
[[7, 3, 3, 2, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [-3291611/
2097152, -1645805/1048576]]]], [[7, 3, 3, 2, 3], [And(0 < v,v < 1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1
/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [
-1534619/2097152, -767309/1048576], [0, 0]]]], [[7, 3, 3, 2, 4], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [-\
1534619/2097152, -767309/1048576], [1645805/1048576, 822903/524288]]]], [[7, 3
, 3, 2, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [3, 3]]]], [[
7, 7, 5, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-\
1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-7/8, -7/8], [1/16, 1/16], [-2, -2]]]], [[7, 7, 5, 5, 2], [And(0
< v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+
v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8
], [1/16, 1/16], [-3780695/4194304, -7561389/8388608]]]], [[7, 7, 5, 5, 3], [
And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y <
-u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2
, 1/2], [0, 0], [-7/8, -7/8], [1/16, 1/16], [-5/16777216, -5/16777216]]]], [[7
, 7, 5, 5, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1
), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [0, 0], [-7/8, -7/8], [1/16, 1/16], [945173/1048576, 472587/524288]]]], [[7,
7, 5, 5, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1),
And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
0, 0], [-7/8, -7/8], [1/16, 1/16], [2, 2]]]], [[7, 9, 6, 4, 1], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [0, 0], [-2, -2]]]], [[7, 9, 6, 4, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [0, 0], [-1618333/2097152, -3236665/4194304
]]]], [[7, 9, 6, 4, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u
^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [0, 0], [-1/8388608, -1/8388608]]]], [[7, 9, 6, 4,
4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-624419/1048576, -1248837/2097152], [0, 0], [404583/524288, 809167/
1048576]]]], [[7, 9, 6, 4, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0
], [2, 2]]]], [[7, 11, 4, 2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-1534619/1048576, -\
767309/524288], [-3, -3]]]], [[7, 11, 4, 2, 2], [And(0 < v,v < 1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-\
1534619/1048576, -767309/524288], [-3291611/2097152, -1645805/1048576]]]], [[7
, 11, 4, 2, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-\
1534619/1048576, -767309/524288], [0, 0]]]], [[7, 11, 4, 2, 4], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v
^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1
, -1], [-1534619/1048576, -767309/524288], [1645805/1048576, 822903/524288]]]]
, [[7, 11, 4, 2, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [-1, -1], [-1534619/1048576, -767309/524288],
[3, 3]]]], [[7, 13, 1, 1, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v
^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -\
11], [-1, -1], [-5, -5]]]], [[7, 13, 1, 1, 2], [And(0 < v,v < 1), (v^2+2)^(1/2
) < u, x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[3, 3], [-11, -11], [-1, -1], [-1816187/524288, -3632373/1048576]]]], [[7, 13,
1, 1, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-11,
-11], [-1, -1], [0, 0]]]], [[7, 13, 1, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3
, 3], [-11, -11], [-1, -1], [3632373/1048576, 1816187/524288]]]], [[7, 13, 1,
1, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, (-x-y)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [-1, -1], [5, 5]]]],
[[8, 3, 7, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2)
, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-773191
/524288, -773191/524288], [-3, -3]]]], [[8, 3, 7, 3, 2], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-773191/524288, -773191/524288], [-145801/131072, -\
1166407/1048576]]]], [[8, 3, 7, 3, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/1048576, 248903/1048576], [-773191/524288, -773191/524288], [0, 0]]]],
[[8, 3, 7, 3, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2)
, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-773191
/524288, -773191/524288], [1166407/1048576, 145801/131072]]]], [[8, 3, 7, 3, 5
], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [248903/1048576, 248903/1048576], [-773191/524288, -773191/
524288], [3, 3]]]], [[8, 5, 5, 9, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-1
< x,x < u^2-2), -x < y, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [0, 0]]]], [[8
, 11, 5, 8, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -x,
z < 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683
/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [-1, -1]]]], [[8
, 11, 5, 8, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -x,
z = 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683
/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [0, 0]]]], [[8,
11, 5, 8, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -x, 0
< z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [101115/131072, 808921/1048576], [1, 1]]]], [[8, 
13, 4, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(1 < y,y < u^2-\
1), z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1,
-1], [2594957/2097152, 2594957/2097152], [0, 0]]]], [[9, 1, 10, 7, 1], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/1048576
, 3430361/524288], [1, 1], [0, 0]]]], [[9, 3, 7, 8, 1], [And(1 < v,v < 2^(1/2)
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = u
^2-v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/2097152, 501965/2097152], [
250983/1048576, 31373/131072], [0, 0]]]], [[9, 13, 6, 2, 1], [And(1 < v,v < 2^
(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-\
122559/131072, -7843775/8388608], [-3, -3]]]], [[9, 13, 6, 2, 2], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-\
122559/131072, -7843775/8388608], [-1270261/1048576, -317565/262144]]]], [[9,
13, 6, 2, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v
^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [-122559/131072, -7843775/
8388608], [0, 0]]]], [[9, 13, 6, 2, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1116681/2097152, -139585/262144], [-122559/131072, -7843775/
8388608], [317565/262144, 1270261/1048576]]]], [[9, 13, 6, 2, 5], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1116681/2097152, -139585/262144], [-\
122559/131072, -7843775/8388608], [3, 3]]]], [[9, 15, 5, 1, 1], [And(1 < v,v <
2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^
2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-3, -3], [-3, -3]]]],
[[9, 15, 5, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[9, 
15, 5, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[9, 15, 5, 1, 4], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
< -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[9, 15, 5, 1, 5], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-
y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[10, 1, 11, 3, 1],
[v = 2^(1/2), u < -2, u^2-3 < x, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [-11, -11
], [-3, -3]]]], [[10, 1, 11, 3, 2], [v = 2^(1/2), u < -2, u^2-3 < x, And(-u^2-
x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [7, 7], [-11, -11], [-2, -2]]]], [[10, 1, 11, 3, 3], [v =
2^(1/2), u < -2, u^2-3 < x, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[7, 7], [-11, -11], [0, 0]]]], [[10, 1, 11, 3, 4], [v = 2^(1/2), u < -2, u^2-3
< x, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [7, 7], [-11, -11], [2, 2]]]], [[10, 1, 11
, 3, 5], [v = 2^(1/2), u < -2, u^2-3 < x, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7],
[-11, -11], [3, 3]]]], [[10, 3, 8, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2
)), x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/
1048576, 126367/262144], [-49729379/16777216, -24864689/8388608], [-3, -3]]]],
[[10, 3, 8, 2, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y = -2*u
^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-\
49729379/16777216, -24864689/8388608], [-825991/524288, -3303963/2097152]]]],
[[10, 3, 8, 2, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y = -2*u
^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/
1048576, 126367/262144], [-49729379/16777216, -24864689/8388608], [-1/4194304,
-1/4194304]]]], [[10, 3, 8, 2, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/1048576, 
126367/262144], [-49729379/16777216, -24864689/8388608], [1651981/1048576, 
825991/524288]]]], [[10, 3, 8, 2, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x = u^2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/1048576, 
126367/262144], [-49729379/16777216, -24864689/8388608], [3, 3]]]], [[10, 9, 6
, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, And(u^2-3 < y,y < 0), z < -(-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0
, 0], [-11/8, -11/8], [-3, -3]]]], [[10, 9, 6, 3, 2], [v = 2^(1/2), And(-1 < u
,u < 0), x = 0, And(u^2-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-11/8, -11/8], [-\
1229565/1048576, -307391/262144]]]], [[10, 9, 6, 3, 3], [v = 2^(1/2), And(-1 <
u,u < 0), x = 0, And(u^2-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-11/8
, -11/8], [0, 0]]]], [[10, 9, 6, 3, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = 0
, And(u^2-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [0, 0], [-11/8, -11/8], [307391/262144, 
1229565/1048576]]]], [[10, 9, 6, 3, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = 0
, And(u^2-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [0, 0], [-11/8, -11/8], [3, 3]]]], [[10, 11, 3
, 4, 1], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = 0, z < -(-
x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15
/8, -15/8], [0, 0], [-3, -3]]]], [[10, 11, 3, 4, 2], [v = 2^(1/2), And(0 < u,u
< 1), And(u^2-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [0, 0], [-717911/524288
, -1435821/1048576]]]], [[10, 11, 3, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), 
And(u^2-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8],
[0, 0], [0, 0]]]], [[10, 11, 3, 4, 4], [v = 2^(1/2), And(0 < u,u < 1), And(u^2
-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [0, 0], [1435821/1048576, 717911
/524288]]]], [[10, 11, 3, 4, 5], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x
,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-15/8, -15/8], [0, 0], [3, 3]]]], [[10, 15, 5, 9, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), -x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [2, 2], [0, 0]]]], [[10, 17, 4
, 8, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = u^2-2, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [1554043/1048576, 388511/262144], [0, 0]]]], [[10, 18, 9,
8, 1], [v = 2^(1/2), u = 2, 1 < x, y = 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [2, 2], [2, 2], [0, 0], [0, 0]]]], [[11, 1, 6, 5, 1]
, [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [15/2, 15/2], [0, 0]]]], [[11, 5, 5,
9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1)
, -x < y, z = z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-1579769/2097152, -1579769/2097152], [2, 2], [0, 0]]]], [[11, 7, 6, 4, 1], [2^
(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [-2, -2]]]], [[11, 7, 6, 4, 2], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [-735979/1048576, -1471957/2097152]]]
], [[11, 7, 6, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v
^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144,
-516571/1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 7, 6, 4, 4], [2^(
1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [367989/524288, 735979/1048576]]]], [
[11, 7, 6, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1
, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [0, 0], [2, 2]]]], [[11,
12, 7, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), 1-x < y, z =
z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [2, 2]
, [0, 0]]]], [[11, 14, 5, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x
< 0), -x < y, z = z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576
], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 18, 9, 6, 1], [2^(1/2) < v, u = (v^2
+1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [2, 2], [0, 0], [0, 0]]]], [[11, 20, 6, 5, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [0, 0], [1/2, 1/2], [0, 0]]]], [[1, 5, 5, 4,
1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1579769/2097152, -1579769/2097152], [0, 0], [-2, -2]]]], [[1, 5, 5,
4, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [-3640339/4194304, -\
1820169/2097152]]]], [[1, 5, 5, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 5, 5, 4, 4], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1579769/2097152, -1579769/2097152], [0, 0], [227521/262144, 910085/1048576]]]]
, [[1, 5, 5, 4, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x
< u^2-v^2-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [2, 2]]
]], [[1, 7, 5, 8, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x
,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-391287/524288, -391287/524288], [391287/524288, 391287/
524288], [-1, -1]]]], [[1, 7, 5, 8, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [
391287/524288, 391287/524288], [0, 0]]]], [[1, 7, 5, 8, 3], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [391287/524288, 391287/524288], [1, 1]]]], [[1, 11, 5
, 3, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,
x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [0, 0], [-1/2, -1/2], [-19/4, -19/4], [-4, -4]]]], [[1, 11, 5, 3, 2], [v
< -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(
u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0],
[-1/2, -1/2], [-19/4, -19/4], [-1201295/524288, -2402589/1048576]]]], [[1, 11,
5, 3, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x
,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-19/4, -19/4], [0, 0]]]], [[
1, 11, 5, 3, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And
(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [0, 0], [-1/2, -1/2], [-19/4, -19/4], [2402589/1048576, 1201295/
524288]]]], [[1, 11, 5, 3, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-\
2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-19/4, -19/4], [4, 4]]]], [[1
, 13, 2, 2, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u
^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023
/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [0, 0], [-3, -3]
]]], [[1, 13, 2, 2, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)
), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [0, 0],
[-3321417/2097152, -415177/262144]]]], [[1, 13, 2, 2, 3], [v < -2^(1/2), And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(
1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288,
1435023/524288], [-5260377/2097152, -657547/262144], [0, 0], [0, 0]]]], [[1, 
13, 2, 2, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2
-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [0, 0], [415177/
262144, 1660709/1048576]]]], [[1, 13, 2, 2, 5], [v < -2^(1/2), And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152,
-657547/262144], [0, 0], [3, 3]]]], [[1, 18, 9, 1, 1], [v < -2^(1/2), u = (v^2
+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[1, 18, 9, 1,
2], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-5, -5], [
-1816187/1048576, -3632373/2097152]]]], [[1, 18, 9, 1, 3], [v < -2^(1/2), u =
(v^2+1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-5, -5], [
-1/4194304, -1/4194304]]]], [[1, 18, 9, 1, 4], [v < -2^(1/2), u = (v^2+1)^(1/2
), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]]
, [[1, 18, 9, 1, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)
^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2
], [-5, -5], [3, 3]]]], [[1, 20, 5, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 
And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[2, 3, 3, 6, 1], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, z < 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/1048576, 
912799/524288], [-1, -1]]]], [[2, 3, 3, 6, 2], [v = -2^(1/2), And(-2 < u,u < -
3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [1825597/1048576, 912799/524288], [0, 0]]]], [[2,
3, 3, 6, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1),
y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339
/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/
1048576, 912799/524288], [1, 1]]]], [[2, 5, 2, 3, 1], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x = -u^2+1, And(0 < y,y < 2*u^2-4), z < -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/524288, 248903/
524288], [-3, -3]]]], [[2, 5, 2, 3, 2], [v = -2^(1/2), And(-3^(1/2) < u,u < v)
, x = -u^2+1, And(0 < y,y < 2*u^2-4), z = -(u^2-y-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [248903/524288, 248903/524288], [-1048577/
1048576, -1]]]], [[2, 5, 2, 3, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x =
-u^2+1, And(0 < y,y < 2*u^2-4), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [248903/524288, 248903/
524288], [0, 0]]]], [[2, 5, 2, 3, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x = -u^2+1, And(0 < y,y < 2*u^2-4), z = (u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [248903/524288, 248903/524288], [1, 1048577/
1048576]]]], [[2, 5, 2, 3, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^
2+1, And(0 < y,y < 2*u^2-4), (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1546383/
1048576, -773191/524288], [248903/524288, 248903/524288], [3, 3]]]], [[2, 7, 1
, 7, 1], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(-u^2-x+1 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [2906073/1048576, 2906073/
1048576], [-2, -2]]]], [[2, 7, 1, 7, 2], [v = -2^(1/2), And(v < u,u < -1), x <
u^2-3, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [2906073/1048576, 2906073/1048576], [-501295/1048576, -250647/524288]]]],
[[2, 7, 1, 7, 3], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, And(-u^2-x+1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [2906073/1048576, 2906073/1048576], [0, 0]]]], [[2, 7, 1, 7, 4], [v = -2^(
1/2), And(v < u,u < -1), x < u^2-3, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [2906073/1048576, 2906073/1048576], [250647/524288
, 501295/1048576]]]], [[2, 7, 1, 7, 5], [v = -2^(1/2), And(v < u,u < -1), x <
u^2-3, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -3], [
2906073/1048576, 2906073/1048576], [2, 2]]]], [[2, 8, 9, 4, 1], [v = -2^(1/2),
u = -1, 1 < x, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [2, 2], [-2, -2], [-1, -1]]]], [[2, 8, 9, 4, 2], [v = -2^(1
/2), u = -1, 1 < x, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [2, 2], [-2, -2], [0, 0]]]], [[2, 8, 9, 4, 3], [v =
-2^(1/2), u = -1, 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [2, 2], [-2, -2], [1, 1]]]], [[2, 12, 8, 6, 1], [v =
-2^(1/2), u = 1, x = 1, y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [1, 1], [0, 0], [0, 0]]]], [[2, 14, 7, 3, 1], [v = -2^
(1/2), u = -v, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2
], [-5/2, -5/2], [-2, -2]]]], [[2, 14, 7, 3, 2], [v = -2^(1/2), u = -v, 1 < x,
And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-5/2, -5/2], [-\
1482911/2097152, -741455/1048576]]]], [[2, 14, 7, 3, 3], [v = -2^(1/2), u = -v
, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-5/2, -5/2], [0, 0]]]], [[2, 14, 7, 3, 4], [v = -2^(1/2), u
= -v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-\
5/2, -5/2], [741455/1048576, 46341/65536]]]], [[2, 14, 7, 3, 5], [v = -2^(1/2)
, u = -v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-\
5/2, -5/2], [2, 2]]]], [[3, 1, 1, 8, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+
2)^(1/2), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [17346481/1048576, 8673241/
524288], [0, 0]]]], [[3, 2, 7, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^
(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2
, 1/2], [1/4, 1/4], [0, 0]]]], [[3, 7, 1, 7, 1], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2920543/1048576, 2920543/
1048576], [-2, -2]]]], [[3, 7, 1, 7, 2], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [2920543/1048576, 2920543/1048576], [-\
242963/524288, -485925/1048576]]]], [[3, 7, 1, 7, 3], [And(-2^(1/2) < v,v < -1
), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [2920543/
1048576, 2920543/1048576], [0, 0]]]], [[3, 7, 1, 7, 4], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-3, -3], [2920543/1048576, 2920543/
1048576], [485925/1048576, 242963/524288]]]], [[3, 7, 1, 7, 5], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [2920543/1048576, 
2920543/1048576], [2, 2]]]], [[3, 8, 9, 4, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2-1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-2, -2], [-1, -\
1]]]], [[3, 8, 9, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x,
y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [2, 2], [-2, -2], [0, 0]]]], [[3, 8, 9, 4, 3
], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-2, -2], [1, 1]]]], [[4, 1, 2, 3, 1], [v = -1, u < -3
^(1/2), x = -u^2, And(0 < y,y < u^2), z < -(u^2-y)^(1/2)], [regular_chain, [[-\
1, -1], [-3, -3], [-9, -9], [9/2, 9/2], [-4, -4]]]], [[4, 1, 2, 3, 2], [v = -1
, u < -3^(1/2), x = -u^2, And(0 < y,y < u^2), z = -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-9, -9], [9/2, 9/2], [-1112183/524288, -\
2224365/1048576]]]], [[4, 1, 2, 3, 3], [v = -1, u < -3^(1/2), x = -u^2, And(0
< y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1
, -1], [-3, -3], [-9, -9], [9/2, 9/2], [0, 0]]]], [[4, 1, 2, 3, 4], [v = -1, u
< -3^(1/2), x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)], [regular_chain,
[[-1, -1], [-3, -3], [-9, -9], [9/2, 9/2], [2224365/1048576, 1112183/524288]]]
], [[4, 1, 2, 3, 5], [v = -1, u < -3^(1/2), x = -u^2, And(0 < y,y < u^2), (u^2
-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-9, -9], [9/2, 9/2], [4,
4]]]], [[4, 2, 8, 2, 1], [v = -1, u = -3^(1/2), x = 1, y = -4, z < -3^(1/2)],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-4,
-4], [-3, -3]]]], [[4, 2, 8, 2, 2], [v = -1, u = -3^(1/2), x = 1, y = -4, z =
-3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1
, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[4, 2, 8, 2, 3], [v
= -1, u = -3^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-4, -\
4], [-1/4194304, -1/4194304]]]], [[4, 2, 8, 2, 4], [v = -1, u = -3^(1/2), x =
1, y = -4, z = 3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[4,
2, 8, 2, 5], [v = -1, u = -3^(1/2), x = 1, y = -4, 3^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-4, -\
4], [3, 3]]]], [[4, 7, 1, 9, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, -x < y
, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [4, 4], [0, 0]]]]
, [[4, 8, 9, 6, 1], [v = -1, u = 0, 1 < x, y = 0, z = z], [regular_chain, [[-1
, -1], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[4, 14, 5, 9, 1], [v = -1, u = 3^(1
/2), And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[5, 1, 3, 1, 1], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^
2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -\
43/8], [-6, -6], [-5, -5]]]], [[5, 1, 3, 1, 2], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-6, -6], [-884129/
262144, -3536515/1048576]]]], [[5, 1, 3, 1, 3], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [
-6, -6], [0, 0]]]], [[5, 1, 3, 1, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-6, -6], [3536515/
1048576, 884129/262144]]]], [[5, 1, 3, 1, 5], [And(-1 < v,v < 0), u < -(v^2+2)
^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-43/8, -43/8], [-6, -6], [5, 5]]]], [
[5, 5, 2, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v
^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -\
1], [-3, -3]]]], [[5, 5, 2, 1, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,
u < v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/
1048576], [-1, -1], [-406493/262144, -3251943/2097152]]]], [[5, 5, 2, 1, 3], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0, And(-
(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576],
[-1, -1], [-1/4194304, -1/4194304]]]], [[5, 5, 2, 1, 4], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
736367/524288, -1472733/1048576], [-1, -1], [1625971/1048576, 406493/262144]]]
], [[5, 5, 2, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u
^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -\
1], [3, 3]]]], [[5, 7, 2, 5, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^
2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [7/8, 7/8], [-2, -2]]]], [
[5, 7, 2, 5, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [0, 0], [-5/4, -5/4], [7/8, 7/8], [-1284239/2097152, -642119/
1048576]]]], [[5, 7, 2, 5, 3], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-
v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z <
(-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [
7/8, 7/8], [0, 0]]]], [[5, 7, 2, 5, 4], [And(-1 < v,v < 0), And(v < u,u < -v),
x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [7/8, 7/8], [642119/
1048576, 80265/131072]]]], [[5, 7, 2, 5, 5], [And(-1 < v,v < 0), And(v < u,u <
-v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [7/8, 7/8], [2, 2]]
]], [[5, 9, 2, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -
u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [0, 0],
[-3, -3]]]], [[5, 9, 2, 2, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [
0, 0], [-19417/16384, -1242687/1048576]]]], [[5, 9, 2, 2, 3], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/
2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [0, 0], [0, 0]]
]], [[5, 9, 2, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -
u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [0, 0],
[1242687/1048576, 19417/16384]]]], [[5, 9, 2, 2, 5], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [0, 0], [3, 3]]]], [[5, 11, 1, 1, 1], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-\
4, -4], [-1, -1], [-4, -4]]]], [[5, 11, 1, 1, 2], [And(-1 < v,v < 0), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [-1, -\
1], [-146543/65536, -2344687/1048576]]]], [[5, 11, 1, 1, 3], [And(-1 < v,v < 0
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [-4, -4], [-1, -1], [0, 0]]]], [[5, 11, 1, 1, 4], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z = (
-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[5, 11, 1, 1, 5], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y <
0, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-4, -4], [-1, -1], [4, 4]]]], [[6, 1, 7, 3, 1], [v = 0, u < -2^(1/2)
, And(0 < x,x < 1), And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-11/2, -11/2], [-4, -4]]]], [[6
, 1, 7, 3, 2], [v = 0, u < -2^(1/2), And(0 < x,x < 1), And(-u^2-x-1 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-11/2,
-11/2], [-146543/65536, -2344687/1048576]]]], [[6, 1, 7, 3, 3], [v = 0, u < -2
^(1/2), And(0 < x,x < 1), And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-11/2, -11/2],
[0, 0]]]], [[6, 1, 7, 3, 4], [v = 0, u < -2^(1/2), And(0 < x,x < 1), And(-u^2-
x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1/2, 1
/2], [-11/2, -11/2], [2344687/1048576, 146543/65536]]]], [[6, 1, 7, 3, 5], [v
= 0, u < -2^(1/2), And(0 < x,x < 1), And(-u^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-11/2, -11/2], [4, 4]]]],
[[6, 3, 4, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y = -u^2, z < -(u^
2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-\
1, -1], [-1527887/1048576, -763943/524288], [-3, -3]]]], [[6, 3, 4, 2, 2], [v
= 0, And(-2^(1/2) < u,u < -1), x = -1, y = -u^2, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
1527887/1048576, -763943/524288], [-410915/262144, -3287319/2097152]]]], [[6,
3, 4, 2, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y = -u^2, And(-(u^2+1)^
(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-1527887/1048576, -763943/524288], [-1/4194304, -\
1/4194304]]]], [[6, 3, 4, 2, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y =
-u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [-1, -1], [-1527887/1048576, -763943/524288], [1643659/1048576, 
410915/262144]]]], [[6, 3, 4, 2, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = -1,
y = -u^2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-1527887/1048576, -763943/524288], [3, 3]]]], [[6
, 9, 2, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, And(0 < y,y < u^2+1
), z < -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-2576463/1048576, -1288231/524288], [1288231/1048576, 1288231/
1048576], [-3, -3]]]], [[6, 9, 2, 3, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -
u^2-1, And(0 < y,y < u^2+1), z = -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-2576463/1048576, -1288231/524288], [
1288231/1048576, 1288231/1048576], [-290561/262144, -1162243/1048576]]]], [[6,
9, 2, 3, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, And(0 < y,y < u^2+1),
And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-2576463/1048576, -1288231/524288], [
1288231/1048576, 1288231/1048576], [0, 0]]]], [[6, 9, 2, 3, 4], [v = 0, And(1
< u,u < 2^(1/2)), x = -u^2-1, And(0 < y,y < u^2+1), z = (u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-2576463/1048576,
-1288231/524288], [1288231/1048576, 1288231/1048576], [1162243/1048576, 290561
/262144]]]], [[6, 9, 2, 3, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, And
(0 < y,y < u^2+1), (u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-2576463/1048576, -1288231/524288], [1288231/
1048576, 1288231/1048576], [3, 3]]]], [[6, 10, 8, 2, 1], [v = 0, u = 2^(1/2),
x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911
/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[6, 10, 8, 2, 2], [v = 0, u = 2^(1/
2), x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 
1482911/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[6, 10, 8, 2, 3], [v = 0, u = 2^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(
1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1], [-4
, -4], [-1/4194304, -1/4194304]]]], [[6, 10, 8, 2, 4], [v = 0, u = 2^(1/2), x
= 1, y = -4, z = 3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[6, 10, 8, 2
, 5], [v = 0, u = 2^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[0, 0
], [741455/524288, 1482911/1048576], [1, 1], [-4, -4], [3, 3]]]], [[7, 3, 5, 4
, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 <
x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[7, 3, 5, 4, 2],
[And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]],
[[7, 3, 5, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [0
, 0], [0, 0]]]], [[7, 3, 5, 4, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[7, 3, 5, 4, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [0
, 0], [2, 2]]]], [[7, 5, 4, 3, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-424157/2097152, -\
424157/2097152], [-3, -3]]]], [[7, 5, 4, 3, 2], [And(0 < v,v < 1), And(-(v^2+1
)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-\
424157/2097152, -424157/2097152], [-143717/131072, -1149735/1048576]]]], [[7,
5, 4, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-u
^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1
/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-424157/2097152, -\
424157/2097152], [0, 0]]]], [[7, 5, 4, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)^
(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-\
424157/2097152, -424157/2097152], [1149735/1048576, 143717/131072]]]], [[7, 5,
4, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-u^2+
v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152], [3,
3]]]], [[8, 1, 7, 5, 1], [v = 1, u < -3^(1/2), And(0 < x,x < 1), And(-x < y,y
< 0), z = z], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [-1/4, -1/4], [0,
0]]]], [[8, 3, 4, 8, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = u
^2-1, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
-1, -1], [773191/524288, 1546383/1048576], [0, 0]]]], [[8, 7, 7, 4, 1], [v = 1
, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = -u^2-x, z < u], [regular_chain,
[[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1/8, -1/8], [-2, -2]]]], [[8, 7, 7, 4,
2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-1/8, -1/8], [-1/2, -1/2]
]]], [[8, 7, 7, 4, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = -u^
2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8],
[-1/8, -1/8], [0, 0]]]], [[8, 7, 7, 4, 4], [v = 1, And(-1 < u,u < 0), And(-u^2
< x,x < 0), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8,
-1/8], [-1/8, -1/8], [1/2, 1/2]]]], [[8, 7, 7, 4, 5], [v = 1, And(-1 < u,u < 0
), And(-u^2 < x,x < 0), y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-1/2, -\
1/2], [-1/8, -1/8], [-1/8, -1/8], [2, 2]]]], [[8, 9, 6, 5, 1], [v = 1, And(0 <
u,u < 1), x = -u^2, And(0 < y,y < u^2), z < -(u^2-y)^(1/2)], [regular_chain, [
[1, 1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/8], [-2, -2]]]], [[8, 9, 6, 5, 2], [
v = 1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < u^2), z = -(u^2-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/8], [-46341/131072,
-370727/1048576]]]], [[8, 9, 6, 5, 3], [v = 1, And(0 < u,u < 1), x = -u^2, And
(0 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [
[1, 1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/8], [0, 0]]]], [[8, 9, 6, 5, 4], [v
= 1, And(0 < u,u < 1), x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [1/8, 1/8], [370727/1048576,
46341/131072]]]], [[8, 9, 6, 5, 5], [v = 1, And(0 < u,u < 1), x = -u^2, And(0
< y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4,
-1/4], [1/8, 1/8], [2, 2]]]], [[8, 15, 2, 2, 1], [v = 1, 3^(1/2) < u, x = -u^2
, y = 0, z < -u], [regular_chain, [[1, 1], [3, 3], [-9, -9], [0, 0], [-4, -4]]
]], [[8, 15, 2, 2, 2], [v = 1, 3^(1/2) < u, x = -u^2, y = 0, z = -u], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [0, 0], [-3, -3]]]], [[8, 15, 2, 2,
3], [v = 1, 3^(1/2) < u, x = -u^2, y = 0, And(-u < z,z < u)], [regular_chain,
[[1, 1], [3, 3], [-9, -9], [0, 0], [0, 0]]]], [[8, 15, 2, 2, 4], [v = 1, 3^(1/
2) < u, x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [3, 3], [-9, -9], [0
, 0], [3, 3]]]], [[8, 15, 2, 2, 5], [v = 1, 3^(1/2) < u, x = -u^2, y = 0, u <
z], [regular_chain, [[1, 1], [3, 3], [-9, -9], [0, 0], [4, 4]]]], [[9, 1, 8, 5
, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [
-1/2, -1/2], [0, 0]]]], [[9, 5, 7, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1
)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-279169/
2097152, -279169/2097152], [-2, -2]]]], [[9, 5, 7, 5, 2], [And(1 < v,v < 2^(1/
2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-279169/2097152, -279169/2097152], [-662643/1048576, -1325285/
2097152]]]], [[9, 5, 7, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [
-279169/2097152, -279169/2097152], [-1/4194304, -1/4194304]]]], [[9, 5, 7, 5,
4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x
,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [-279169/2097152, -279169/2097152], [331321/
524288, 662643/1048576]]]], [[9, 5, 7, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0),
(-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-\
279169/2097152, -279169/2097152], [2, 2]]]], [[9, 7, 8, 4, 1], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [0, 0], [-450371/1048576, -225185/524288], [-2, -2
]]]], [[9, 7, 8, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)
), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-\
450371/1048576, -225185/524288], [-1374407/2097152, -687203/1048576]]]], [[9,
7, 8, 4, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y
= -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-450371/1048576, -225185/524288], [0, 0]]]], [[9, 7
, 8, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y
= -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-450371/
1048576, -225185/524288], [687203/1048576, 171801/262144]]]], [[9, 7, 8, 4, 5]
, [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2
-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3949363/4194304, -3949363/4194304], [0, 0], [-450371/1048576, -225185/
524288], [2, 2]]]], [[9, 9, 5, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1
/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1/2, 1/2], [-1, -1
]]]], [[9, 9, 5, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[9, 9
, 5, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2))
, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[9, 11, 4, 9,
1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, 1 < y, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [2, 2], [0, 0]]]], [[9, 15, 7, 5, 1], [And(1 < v,v
< 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1)
, And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [-\
125491/1048576, -125491/1048576], [0, 0]]]], [[9, 17, 4, 8, 1], [And(1 < v,v <
2^(1/2)), (v^2+2)^(1/2) < u, x = -1, y = u^2-v^2, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-1, -1], [7909297/1048576, 3954649
/524288], [0, 0]]]], [[10, 5, 5, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [1048577/2097152, 1048577/
2097152], [-2, -2]]]], [[10, 5, 5, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-799673/1048576, -799673/1048576], [1048577/2097152, 1048577/
2097152], [-1074731/2097152, -537365/1048576]]]], [[10, 5, 5, 7, 3], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -\
799673/1048576], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[10, 5, 5, 7,
4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), And(u^2-x-3
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/
1048576], [1048577/2097152, 1048577/2097152], [537365/1048576, 268683/524288]]
]], [[10, 5, 5, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x <
u^2-3), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-799673/
1048576, -799673/1048576], [1048577/2097152, 1048577/2097152], [2, 2]]]], [[10
, 7, 6, 6, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, y = u^2-1, z < 0]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [239655/524288, 479311/
1048576], [-1, -1]]]], [[10, 7, 6, 6, 2], [v = 2^(1/2), And(-v < u,u < -1), x
= -u^2+1, y = u^2-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [
239655/524288, 479311/1048576], [0, 0]]]], [[10, 7, 6, 6, 3], [v = 2^(1/2), 
And(-v < u,u < -1), x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [239655/524288, 479311/1048576], [1, 1]]]], [[10, 11
, 5, 6, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = -x, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [
1/2, 1/2], [-1, -1]]]], [[10, 11, 5, 6, 2], [v = 2^(1/2), And(0 < u,u < 1), 
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[10, 11, 5, 6, 3],
[v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [1
/2, 1/2], [1, 1]]]], [[10, 13, 4, 9, 1], [v = 2^(1/2), And(1 < u,u < v), x = -\
1, 1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [2, 2], [0, 0]]]], [[11, 3, 4, 4, 1], [2^
(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z < -1],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [0, 0
], [-2, -2]]]], [[11, 3, 4, 4, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[11, 3, 4, 4, 3],
[2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, And(-\
1 < z,z < 1)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[-1, -1], [0, 0], [0, 0]]]], [[11, 3, 4, 4, 4], [2^(1/2) < v, And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [0, 0], [1, 1]]]], [[11, 3, 4, 4
, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0,
1 < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1
], [0, 0], [2, 2]]]], [[11, 5, 3, 7, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,
u < -v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/
2097152, -2614535/2097152], [1041671/1048576, 1041671/1048576], [-2, -2]]]], [
[11, 5, 3, 7, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1
< x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152
], [1041671/1048576, 1041671/1048576], [-1055459/2097152, -527729/1048576]]]],
[[11, 5, 3, 7, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-\
1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/
2097152, -2614535/2097152], [1041671/1048576, 1041671/1048576], [0, 0]]]], [[
11, 5, 3, 7, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1
< x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [
[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152]
, [1041671/1048576, 1041671/1048576], [527729/1048576, 263865/524288]]]], [[11
, 5, 3, 7, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3
, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152],
[1041671/1048576, 1041671/1048576], [2, 2]]]], [[11, 9, 5, 8, 1], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-
x-1, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-1/2, -1/2], [1057323/1048576, 264331/262144], [0, 0]]]], [[11, 11, 3, 4, 1],
[2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x <
-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2],
[0, 0], [-4, -4]]]], [[11, 11, 3, 4, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [0, 0], [-2459129/1048576, -\
307391/131072]]]], [[11, 11, 3, 4, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [0, 0], [0, 0]]]]
, [[11, 11, 3, 4, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [0
, 0], [-11/2, -11/2], [0, 0], [307391/131072, 2459129/1048576]]]], [[11, 11, 3
, 4, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-\
1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-11/2
, -11/2], [0, 0], [4, 4]]]], [[11, 16, 5, 6, 1], [2^(1/2) < v, u = v, And(0 <
x,x < 1), y = 0, z = z], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [0, 0],
[0, 0]]]], [[11, 18, 6, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, 0 < y,
z = z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0, 0], [1,
1], [0, 0]]]], [[1, 1, 8, 7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, And
(0 < y,y < u^2-v^2-2), z = z], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [7
, 7], [0, 0]]]], [[1, 3, 5, 6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [
[1, 3, 5, 6, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 3, 5, 6,
3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y = -x, 0 < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 7, 8, 6, 1], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [0, 0], [0, 0], [-1, -1]]]], [[1, 7,
8, 6, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, z = 0],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [0, 0], [0, 0
], [0, 0]]]], [[1, 7, 8, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [0, 0], [0, 0], [1, 1]]]], [[1, 9, 7, 5, 1], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(-x < y,y <
0), z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[533035/2097152, 533035/2097152], [-266517/2097152, -266517/2097152], [0, 0]]]
], [[1, 14, 8, 6, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), x = 1, y = 0, z = z],
[regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [1, 1], [0, 0], [
0, 0]]]], [[1, 16, 7, 3, 1], [v < -2^(1/2), u = -v, 1 < x, And(-1-x < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-5/2, -5/2]
, [-2, -2]]]], [[1, 16, 7, 3, 2], [v < -2^(1/2), u = -v, 1 < x, And(-1-x < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-5/2, -\
5/2], [-1482911/2097152, -741455/1048576]]]], [[1, 16, 7, 3, 3], [v < -2^(1/2)
, u = -v, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-5/2, -5/2], [0, 0]]]], [[1, 16
, 7, 3, 4], [v < -2^(1/2), u = -v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-5/2, -5/2], [741455/1048576,
46341/65536]]]], [[1, 16, 7, 3, 5], [v < -2^(1/2), u = -v, 1 < x, And(-1-x < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-5/2,
-5/2], [2, 2]]]], [[1, 20, 8, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1,
0 < y, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [
1, 1], [1, 1], [0, 0]]]], [[2, 1, 5, 6, 1], [v = -2^(1/2), u < -2, And(-1 < x,
x < 0), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 1, 5, 6, 2], [v = -2^(1/2
), u < -2, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[2,
1, 5, 6, 3], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [1
/2, 1/2], [1, 1]]]], [[2, 10, 7, 4, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1)
, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0],
[1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 10, 7, 4, 2], [v = -2^(1/2), u = 0
, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[2, 10, 7, 4, 3]
, [v = -2^(1/2), u = 0, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]],
[[2, 12, 5, 2, 1], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), y = -x-2, z < -2^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/
2], [-3/2, -3/2], [-3, -3]]]], [[2, 12, 5, 2, 2], [v = -2^(1/2), u = 1, And(-1
< x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455
/524288]]]], [[2, 12, 5, 2, 3], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), y = -
x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[2, 12, 5, 2,
4], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-3/
2, -3/2], [741455/524288, 1482911/1048576]]]], [[2, 12, 5, 2, 5], [v = -2^(1/2
), u = 1, And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]
], [[2, 16, 9, 1, 1], [v = -2^(1/2), u = 3^(1/2), 1 < x, y < -x-2, z < -(-x-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288,
1816187/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[2, 16, 9, 1, 2], [v = -2^(1
/2), u = 3^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-\
5, -5], [-1816187/1048576, -3632373/2097152]]]], [[2, 16, 9, 1, 3], [v = -2^(1
/2), u = 3^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[2, 16, 9, 1, 4], [v
= -2^(1/2), u = 3^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2],
[-5, -5], [908093/524288, 1816187/1048576]]]], [[2, 16, 9, 1, 5], [v = -2^(1/2
), u = 3^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-5, -5],
[3, 3]]]], [[2, 18, 5, 9, 1], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), 1-x < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2,
-1/2], [3, 3], [0, 0]]]], [[3, 4, 7, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v
^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1/2
, 1/2], [-4, -4], [-3, -3]]]], [[3, 4, 7, 1, 2], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]],
[[3, 4, 7, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x <
1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1/2,
1/2], [-4, -4], [0, 0]]]], [[3, 4, 7, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(
v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1/2
, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[3, 4, 7, 1, 5], [And(
-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [1/2, 1/2], [-4, -4], [3, 3]]]], [[3, 6, 5, 5, 1],
[And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), And(-x < y,y < 0), z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3, 10, 9, 2, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [-4, -4], [-3, -3]]]], [[3, 10, 9, 2, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[-4, -4], [-1482911/1048576, -741455/524288]]]], [[3, 10, 9, 2, 3], [And(-2^(1
/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288,
708939/1048576], [2, 2], [-4, -4], [0, 0]]]], [[3, 10, 9, 2, 4], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2]
, [-4, -4], [741455/524288, 1482911/1048576]]]], [[3, 10, 9, 2, 5], [And(-2^(1
/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [2, 2], [-4, -4], [3, 3]]]], [[3, 12, 7, 6, 1], [And(-2^(1/2) < v,v
< -1), u = -v, 1 < x, y = 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [0, 0], [0, 0]]]
], [[3, 14, 7, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,
x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2], [-3, -3]
]]], [[3, 14, 7, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 <
x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2],
[-1482911/1048576, -741455/524288]]]], [[3, 14, 7, 2, 3], [And(-2^(1/2) < v,v
< -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[3, 14, 7, 2, 4
], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z
= 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/
1048576]]]], [[3, 14, 7, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-5/2, -5/2],
[3, 3]]]], [[3, 16, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
= -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1/2, 1/2], [-2,
-2]]]], [[3, 16, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -\
1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1/2, 1/2], [-\
1482911/2097152, -741455/1048576]]]], [[3, 16, 4, 5, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[3, 16, 4, 5, 4], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]
], [[3, 16, 4, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, 
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [1/2, 1/2], [2, 2
]]]], [[4, 3, 1, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And
(-x < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-4, -4], [4443207/1048576, 4443207/1048576], [0, 0]]]], [[4
, 4, 9, 4, 1], [v = -1, u = -2^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [
[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1, -1]]]], [
[4, 4, 9, 4, 2], [v = -1, u = -2^(1/2), 1 < x, y = -x, z = 0], [regular_chain,
[[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [0, 0]]]], [[
4, 4, 9, 4, 3], [v = -1, u = -2^(1/2), 1 < x, y = -x, 0 < z], [regular_chain,
[[-1, -1], [-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [1, 1]]]], [[
4, 10, 7, 3, 1], [v = -1, u = 1, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[4,
10, 7, 3, 2], [v = -1, u = 1, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [1, 1], [2, 2], [-5/2, -5/2], [-1482911/2097152, -\
741455/1048576]]]], [[4, 10, 7, 3, 3], [v = -1, u = 1, 1 < x, And(-1-x < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1,
1], [2, 2], [-5/2, -5/2], [0, 0]]]], [[4, 10, 7, 3, 4], [v = -1, u = 1, 1 < x,
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1, 1], [2
, 2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[4, 10, 7, 3, 5], [v =
-1, u = 1, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1, -1], [1, 1], [2, 2], [-5/2, -5/2], [2, 2]]]], [[4, 12, 7, 7, 1], [v = -1, u
= 2^(1/2), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1, -1], [741455
/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[5, 1, 5, 4, 1], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]
], [[5, 1, 5, 4, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/
2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[5, 1, 5, 4, 3], [And(-1
< v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,
z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [0, 0
], [0, 0]]]], [[5, 1, 5, 4, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1
< x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [
-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[5, 1, 5, 4, 5], [And(
-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[5,
3, 2, 3, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/1048576, 1291597/1048576], [-3, -3]]]], [[
5, 3, 2, 3, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/1048576, 1291597/1048576], [-1163761/
1048576, -72735/65536]]]], [[5, 3, 2, 3, 3], [And(-1 < v,v < 0), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-
(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/
2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [
1291597/1048576, 1291597/1048576], [0, 0]]]], [[5, 3, 2, 3, 4], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y
< u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [1291597/
1048576, 1291597/1048576], [72735/65536, 1163761/1048576]]]], [[5, 3, 2, 3, 5]
, [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2
-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288]
, [1291597/1048576, 1291597/1048576], [3, 3]]]], [[5, 12, 7, 8, 1], [And(-1 <
v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [regular_chain
, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[6, 1, 4, 7,
1], [v = 0, u < -2^(1/2), x = -1, And(1 < y,y < u^2), z = z], [regular_chain,
[[0, 0], [-3, -3], [-1, -1], [5, 5], [0, 0]]]], [[6, 5, 3, 9, 1], [v = 0, And(
-1 < u,u < 0), And(-u^2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[0, 0]
, [-1/2, -1/2], [-9/8, -9/8], [3, 3], [0, 0]]]], [[6, 7, 4, 4, 1], [v = 0, And
(0 < u,u < 1), x = -1, y = 0, z < -1], [regular_chain, [[0, 0], [1/2, 1/2], [-\
1, -1], [0, 0], [-2, -2]]]], [[6, 7, 4, 4, 2], [v = 0, And(0 < u,u < 1), x = -\
1, y = 0, z = -1], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [0, 0], [-1,
-1]]]], [[6, 7, 4, 4, 3], [v = 0, And(0 < u,u < 1), x = -1, y = 0, And(-1 < z,
z < 1)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [0, 0], [0, 0]]]], [[6
, 7, 4, 4, 4], [v = 0, And(0 < u,u < 1), x = -1, y = 0, z = 1], [regular_chain
, [[0, 0], [1/2, 1/2], [-1, -1], [0, 0], [1, 1]]]], [[6, 7, 4, 4, 5], [v = 0,
And(0 < u,u < 1), x = -1, y = 0, 1 < z], [regular_chain, [[0, 0], [1/2, 1/2],
[-1, -1], [0, 0], [2, 2]]]], [[7, 1, 5, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)
^(1/2), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[1/2, 1/2
], [-3, -3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[7, 3, 3, 1, 1], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2], [-3,
-3]]]], [[7, 3, 3, 1, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-2, -2], [-8102461/4194304, -16204921/8388608]]]]
, [[7, 3, 3, 1, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[-1815885/1048576, -1815885/1048576], [-2, -2], [-1/16777216, -1/16777216]]]],
[[7, 3, 3, 1, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-2, -2], [2025615/1048576, 126601/65536]]]], [[7,
3, 3, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-2, -2], [3, 3]]]], [[7, 7, 5, 6, 1], [And(0 < v,
v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [1/8, 1
/8], [-2, -2]]]], [[7, 7, 5, 6, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(
-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [1/8, 1/8], [-1816187/
2097152, -3632373/4194304]]]], [[7, 7, 5, 6, 3], [And(0 < v,v < 1), And(-v < u
,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8]
, [1/8, 1/8], [-1/8388608, -1/8388608]]]], [[7, 7, 5, 6, 4], [And(0 < v,v < 1)
, And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [1/8, 1/8], [
908093/1048576, 454047/524288]]]], [[7, 7, 5, 6, 5], [And(0 < v,v < 1), And(-v
< u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [1/8, 1/8], [2, 2]]]],
[[7, 9, 6, 1, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2
-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-2,
-2], [-3, -3]]]], [[7, 9, 6, 1, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(
1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-2, -2], [-52791/32768, -3378623/2097152]]]], [[7
, 9, 6, 1, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-2, -2], [-1/4194304, -1/4194304]]]], [[7, 9, 6,
1, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*
u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-2, -2], [
1689311/1048576, 52791/32768]]]], [[7, 9, 6, 1, 5], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-2, -2], [3, 3]]]], [[7, 11, 3, 8, 1], [And(0 < v
,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [2301927/1048576, 287741/131072
], [0, 0]]]], [[7, 13, 1, 2, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^
2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -\
11], [0, 0], [-5, -5]]]], [[7, 13, 1, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3,
3], [-11, -11], [0, 0], [-1738867/524288, -3477733/1048576]]]], [[7, 13, 1, 2,
3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, And(-(-x)^(1/
2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [0,
0], [0, 0]]]], [[7, 13, 1, 2, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u
^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -\
11], [0, 0], [3477733/1048576, 1738867/524288]]]], [[7, 13, 1, 2, 5], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [0, 0], [5, 5]]]], [[8, 3, 7,
2, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -u^2-
x, z < u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/1048576, 248903/1048576], [-5687723/2097152, -2843861/1048576], [-3, -3
]]]], [[8, 3, 7, 2, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x <
u^2-2), y = -u^2-x, z = u], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [248903/1048576, 248903/1048576], [-5687723/2097152, -\
2843861/1048576], [-1649549/1048576, -3299097/2097152]]]], [[8, 3, 7, 2, 3], [
v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, And(u
< z,z < -u)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/1048576, 248903/1048576], [-5687723/2097152, -2843861/1048576], [-1/
4194304, -1/4194304]]]], [[8, 3, 7, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/
2)), And(0 < x,x < u^2-2), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-\
5687723/2097152, -2843861/1048576], [412387/262144, 1649549/1048576]]]], [[8,
3, 7, 2, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y =
-u^2-x, -u < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304]
, [248903/1048576, 248903/1048576], [-5687723/2097152, -2843861/1048576], [3,
3]]]], [[8, 5, 6, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(-2*u
^2+2 < y,y < 0), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-7668971/
16777216, -7668971/16777216], [-2, -2]]]], [[8, 5, 6, 3, 2], [v = 1, And(-2^(1
/2) < u,u < -1), x = u^2-2, And(-2*u^2+2 < y,y < 0), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-7668971/16777216, -7668971/16777216], [-\
2199023224735/2199023255552, -70368743191519/70368744177664]]]], [[8, 5, 6, 3,
3], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(-2*u^2+2 < y,y < 0), And(
-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
7668971/16777216, -7668971/16777216], [-66122719/140737488355328, -66122719/
140737488355328]]]], [[8, 5, 6, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = u
^2-2, And(-2*u^2+2 < y,y < 0), z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
7668971/16777216, -7668971/16777216], [1048575/1048576, 1]]]], [[8, 5, 6, 3, 5
], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(-2*u^2+2 < y,y < 0), (-u^2
-y+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [-1138531/2097152, -569265/1048576], [-7668971/16777216, -7668971/16777216]
, [2, 2]]]], [[8, 11, 5, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x <
u^2-2), And(0 < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/2097152, 239655/2097152], [-2, -2]]]], [[8, 11, 5, 5, 2], [v = 1, And(1
< u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), z = -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [-3400157/
4194304, -850039/1048576]]]], [[8, 11, 5, 5, 3], [v = 1, And(1 < u,u < 2^(1/2)
), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [0, 0]]]
], [[8, 11, 5, 5, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), 
And(0 < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/
2097152, 239655/2097152], [850039/1048576, 106255/131072]]]], [[8, 11, 5, 5, 5
], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-\
2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [239655/2097152, 239655/
2097152], [2, 2]]]], [[8, 13, 4, 8, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = -1, y = u^2-1, z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-1, -1], [1546381/1048576, 773191/524288], [0, 0]]]], [[9, 1, 10, 6
, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = 0, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [6860721/
1048576, 3430361/524288], [0, 0], [0, 0]]]], [[9, 3, 8, 2, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^
2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/
524288], [-12404333/4194304, -49617331/16777216], [-3, -3]]]], [[9, 3, 8, 2, 2
], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^
2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
1048576, 250983/524288], [-12404333/4194304, -49617331/16777216], [-3301741/
2097152, -825435/524288]]]], [[9, 3, 8, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 
250983/524288], [-12404333/4194304, -49617331/16777216], [0, 0]]]], [[9, 3, 8,
2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [-12404333/4194304, -49617331/16777216], [
825435/524288, 1650871/1048576]]]], [[9, 3, 8, 2, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
12404333/4194304, -49617331/16777216], [3, 3]]]], [[9, 13, 5, 8, 1], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -
x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [401729/
524288, 803459/1048576], [-1, -1]]]], [[9, 13, 5, 8, 2], [And(1 < v,v < 2^(1/2
)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3213833/4194304, -3213833/4194304], [401729/524288, 803459/1048576
], [0, 0]]]], [[9, 13, 5, 8, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1
)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [401729/524288, 803459/1048576], [1, 1]]]], [[9, 
15, 5, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-33197267/16777216, -66394533/33554432], [-3, -3]]]],
[[9, 15, 5, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-33197267/16777216, -66394533/33554432], [-3301741/
2097152, -825435/524288]]]], [[9, 15, 5, 2, 3], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-\
33197267/16777216, -66394533/33554432], [0, 0]]]], [[9, 15, 5, 2, 4], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-33197267/
16777216, -66394533/33554432], [825435/524288, 1650871/1048576]]]], [[9, 15, 5
, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/
2], [-33197267/16777216, -66394533/33554432], [3, 3]]]], [[10, 1, 11, 2, 1], [
v = 2^(1/2), u < -2, u^2-3 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [-15, -15]
, [-4, -4]]]], [[10, 1, 11, 2, 2], [v = 2^(1/2), u < -2, u^2-3 < x, y = -u^2-x
+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3, -3], [7, 7], [-15, -15], [-2965821/1048576, -11863283/4194304]]]], [[10, 1,
11, 2, 3], [v = 2^(1/2), u < -2, u^2-3 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) <
z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [7, 7], [-15, -15], [-3/8388608, -3/8388608]]]], [[10, 1, 11, 2, 4], [v =
2^(1/2), u < -2, u^2-3 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [-15, -15], [741455/
262144, 2965821/1048576]]]], [[10, 1, 11, 2, 5], [v = 2^(1/2), u < -2, u^2-3 <
x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [7, 7], [-15, -15], [4, 4]]]], [[10, 3, 8, 5, 1], [v = 2^(
1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, And(-u^2+3 < y,y < 0), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [505467/1048576, 126367/262144], [-505467/2097152, -505467/2097152],
[0, 0]]]], [[10, 9, 5, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x <
0), -u^2-x+1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1/2, -1/2], [-1/2, -1/2], [3, 3], [0, 0]]]], [[10, 11, 3, 5, 1], [v = 2^(1/2)
, And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15
/8], [15/16, 15/16], [-2, -2]]]], [[10, 11, 3, 5, 2], [v = 2^(1/2), And(0 < u,
u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8],
[15/16, 15/16], [-8122235/8388608, -16244469/16777216]]]], [[10, 11, 3, 5, 3],
[v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), And(0 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [1/2, 1/2], [-15/8, -15/8], [15/16, 15/16], [-5/33554432, -5/
33554432]]]], [[10, 11, 3, 5, 4], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 <
x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [15/16, 15/16], [1015279
/1048576, 63455/65536]]]], [[10, 11, 3, 5, 5], [v = 2^(1/2), And(0 < u,u < 1),
And(u^2-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [15/16, 15/16],
[2, 2]]]], [[10, 15, 5, 8, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 <
x,x < u^2-3), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [
799673/1048576, 399837/524288], [-1, -1]]]], [[10, 15, 5, 8, 2], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = -x, z = 0], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [799673/1048576, 399837/524288], [0, 0]]]]
, [[10, 15, 5, 8, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2
-3), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [
799673/1048576, 399837/524288], [1, 1]]]], [[10, 17, 5, 2, 1], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-66506595/33554432, -33253297/16777216], [-3, -3]]]],
[[10, 17, 5, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y
= -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-66506595/
33554432, -33253297/16777216], [-825991/524288, -3303963/2097152]]]], [[10, 17
, 5, 2, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = -u^2-
x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-\
66506595/33554432, -33253297/16777216], [-1/4194304, -1/4194304]]]], [[10, 17,
5, 2, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = -u^2-x+
1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -\
33253297/16777216], [1651981/1048576, 825991/524288]]]], [[10, 17, 5, 2, 5], [
v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y = -u^2-x+1, (u^2-1)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -33253297/
16777216], [3, 3]]]], [[10, 18, 9, 7, 1], [v = 2^(1/2), u = 2, 1 < x, And(1-x
< y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [2, 2],
[2, 2], [-1/2, -1/2], [0, 0]]]], [[11, 1, 7, 1, 1], [2^(1/2) < v, u < -(v^2+2)
^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [-5, -5], [1/2, 1/2], [-19, -19], [-6, -6]]]], [[11, 1, 7, 1, 2], [
2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-19, -19], [-281881
/65536, -4510095/1048576]]]], [[11, 1, 7, 1, 3], [2^(1/2) < v, u < -(v^2+2)^(1
/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-19, -19], [0, 0]]]], [[
11, 1, 7, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+
v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-\
19, -19], [4510095/1048576, 281881/65536]]]], [[11, 1, 7, 1, 5], [2^(1/2) < v,
u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-19, -19], [6, 6]]]], [[11, 5,
5, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2
-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [258691/
1048576, 64673/262144], [-2, -2]]]], [[11, 5, 5, 6, 2], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1579769/2097152, -1579769/2097152], [258691/1048576, 64673/262144], [-373161/
524288, -1492643/2097152]]]], [[11, 5, 5, 6, 3], [2^(1/2) < v, And(-(v^2+1)^(1
/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)
^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-1579769/2097152, -1579769/2097152], [258691/1048576, 64673/
262144], [-1/4194304, -1/4194304]]]], [[11, 5, 5, 6, 4], [2^(1/2) < v, And(-(v
^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1579769/2097152, -1579769/2097152], [258691/1048576, 64673/262144], [746321/
1048576, 373161/524288]]]], [[11, 5, 5, 6, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2
) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/
2097152, -1579769/2097152], [258691/1048576, 64673/262144], [2, 2]]]], [[11, 7
, 6, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(
0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [516571
/2097152, 516571/2097152], [-2, -2]]]], [[11, 7, 6, 5, 2], [2^(1/2) < v, And(-
v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2
-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-129143/262144, -516571/1048576], [516571/2097152, 516571/2097152], [-\
16263/32768, -520415/1048576]]]], [[11, 7, 6, 5, 3], [2^(1/2) < v, And(-v < u,
u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y
+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-129143/262144, -516571/1048576], [516571/2097152
, 516571/2097152], [0, 0]]]], [[11, 7, 6, 5, 4], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(
1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143
/262144, -516571/1048576], [516571/2097152, 516571/2097152], [520415/1048576,
16263/32768]]]], [[11, 7, 6, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2
)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144,
-516571/1048576], [516571/2097152, 516571/2097152], [2, 2]]]], [[11, 12, 7, 8,
1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1/2, 1/2], [1/2, 1/2],
[0, 0]]]], [[11, 14, 6, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, And(-2
< y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821
/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[11, 14, 6, 3, 2], [2^(1/2) < v, u
= (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[11,
14, 6, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), And(-
(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [0, 0], [-1, -1], [0, 0]]]], [[11, 14, 6, 3, 4], [2^(1/2) <
v, u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0], [-1, -1], [1
, 1]]]], [[11, 14, 6, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, And(-2 <
y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[11, 18, 9, 3, 1], [2^(1/2) < v, u = (
v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[11,
18, 9, 3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2
, 2], [-3, -3], [-1, -1]]]], [[11, 18, 9, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/
2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [-3, -3], [0,
0]]]], [[11, 18, 9, 3, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, And(-x-2 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [2, 2], [-3, -3], [1, 1]]]], [[11, 18, 9, 3, 5], [2^(1/2) < v, u = (
v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [2, 2], [-3, -3], [2, 2]]]], [[11, 
20, 6, 6, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, y = 1, z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [1, 1], [0,
0]]]], [[1, 5, 5, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1
< x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [258691/2097152, 258691/2097152], [-2, -2]]]], [[1, 5, 5, 5
, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1),
And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [258691/
2097152, 258691/2097152], [-3328965/4194304, -832241/1048576]]]], [[1, 5, 5, 5
, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1),
And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [258691/2097152, 258691/2097152], [0, 0]]]], [[1, 5, 5, 5,
4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), 
And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [258691/
2097152, 258691/2097152], [832241/1048576, 416121/524288]]]], [[1, 5, 5, 5, 5]
, [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), And
(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [258691/
2097152, 258691/2097152], [2, 2]]]], [[1, 7, 5, 9, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), -x < y, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [2, 2], [0, 0]]]], [[1, 11, 5, 2, 1], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-\
19/2, -19/2], [-5, -5]]]], [[1, 11, 5, 2, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2
) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-19/2, -19/2], [-\
3315889/1048576, -207243/65536]]]], [[1, 11, 5, 2, 3], [v < -2^(1/2), And(-(v^
2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [0,
0], [-1/2, -1/2], [-19/2, -19/2], [0, 0]]]], [[1, 11, 5, 2, 4], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [-19
/2, -19/2], [207243/65536, 3315889/1048576]]]], [[1, 11, 5, 2, 5], [v < -2^(1/
2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-
x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2],
[-19/2, -19/2], [5, 5]]]], [[1, 13, 2, 1, 1], [v < -2^(1/2), And((v^2-2)^(1/2)
< u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152,
-657547/262144], [-1, -1], [-3, -3]]]], [[1, 13, 2, 1, 2], [v < -2^(1/2), And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1
)^(1/2)], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
5260377/2097152, -657547/262144], [-1, -1], [-7856171/4194304, -3928085/
2097152]]]], [[1, 13, 2, 1, 3], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y
+1)^(1/2))], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-\
5260377/2097152, -657547/262144], [-1, -1], [-1/4194304, -1/4194304]]]], [[1,
13, 2, 1, 4], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2
-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [-1, -1], [982021
/524288, 1964043/1048576]]]], [[1, 13, 2, 1, 5], [v < -2^(1/2), And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-5260377/2097152,
-657547/262144], [-1, -1], [3, 3]]]], [[1, 18, 9, 2, 1], [v < -2^(1/2), u = (v
^2+1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [2, 2], [-4, -4], [-3, -3]]]], [[1, 18, 9, 2,
2], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-4, -4], [
-1482911/1048576, -741455/524288]]]], [[1, 18, 9, 2, 3], [v < -2^(1/2), u = (v
^2+1)^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-4, -4], [0, 0]]]], [[1,
18, 9, 2, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [2, 2], [-4, -4],
[741455/524288, 1482911/1048576]]]], [[1, 18, 9, 2, 5], [v < -2^(1/2), u = (v^
2+1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [2, 2], [-4, -4], [3, 3]]]], [[1, 20, 6, 1, 1], [v <
-2^(1/2), u = (v^2+2)^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [-4, -4], [-3, -3]]]], [
[1, 20, 6, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, y < -3, z = -(-y)^(
1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [
-4, -4], [-2, -2]]]], [[1, 20, 6, 1, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x =
0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [0, 0], [-4, -4], [0, 0]]]], [[1, 20, 6, 1,
4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [0, 0], [-4, -4],
[2, 2]]]], [[1, 20, 6, 1, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 0, y < -3,
(-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[0, 0], [-4, -4], [3, 3]]]], [[2, 3, 3, 5, 1], [v = -2^(1/2), And(-2 < u,u < -
3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 
1825597/2097152], [-2, -2]]]], [[2, 3, 3, 5, 2], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 
1825597/2097152], [-7826679/8388608, -3913339/4194304]]]], [[2, 3, 3, 5, 3], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [1825597/2097152, 1825597/2097152], [-3/8388608, -\
3/8388608]]]], [[2, 3, 3, 5, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(
-u^2+1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [1825597/2097152, 1825597/2097152], [
489167/524288, 978335/1048576]]]], [[2, 3, 3, 5, 5], [v = -2^(1/2), And(-2 < u
,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 
1825597/2097152], [2, 2]]]], [[2, 5, 2, 2, 1], [v = -2^(1/2), And(-3^(1/2) < u
,u < v), x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-1546383/
1048576, -773191/524288], [0, 0], [-3, -3]]]], [[2, 5, 2, 2, 2], [v = -2^(1/2)
, And(-3^(1/2) < u,u < v), x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [0, 0], [-636691/524288,
-1273381/1048576]]]], [[2, 5, 2, 2, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v)
, x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [0, 0], [0, 0]]]], [[2,
5, 2, 2, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, y = 0, z = (u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-1546383/1048576, -773191/524288], [0, 0], [
1273381/1048576, 636691/524288]]]], [[2, 5, 2, 2, 5], [v = -2^(1/2), And(-3^(1
/2) < u,u < v), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [0, 0], [3, 3]]]], [[2, 7, 1, 8, 1], [v = -2
^(1/2), And(v < u,u < -1), x < u^2-3, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [3, 3], [-1, -1]]]], [[2, 7, 1, 8, 2], [v = -2^(1/2), And(v < u,u < -1), x
< u^2-3, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [-3, -3], [3, 3], [0, 0]]]], [[2, 7, 1,
8, 3], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [3, 3], [1, 1]]]], [[2, 8, 9, 5, 1], [v = -2^(1/2)
, u = -1, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1, -1], [2, 2], [-1, -1], [0, 0]]]], [[2, 12, 8, 5, 1], [
v = -2^(1/2), u = 1, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2
, 14, 7, 2, 1], [v = -2^(1/2), u = -v, 1 < x, y = -1-x, z < -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [-2, -2]]]], [[2, 14, 7, 2, 2], [v = -2^(1/2), u =
-v, 1 < x, y = -1-x, z = -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[2,
14, 7, 2, 3], [v = -2^(1/2), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [2, 2], [-3, -3], [0, 0]]]], [[2, 14, 7, 2, 4], [v = -2^(1/2), u = -
v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288
], [741455/524288, 1482911/1048576], [2, 2], [-3, -3], [1, 1]]]], [[2, 14, 7,
2, 5], [v = -2^(1/2), u = -v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [2, 2], [-\
3, -3], [2, 2]]]], [[3, 1, 1, 9, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(
1/2), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-10, -10], [18, 18], [0, 0]]]], [[3, 2,
7, 8, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y =
1-x, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[3, 7, 1, 6, 1
], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [2695357/
1048576, 1347679/524288], [-2, -2]]]], [[3, 7, 1, 6, 2], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2695357/1048576, 1347679/524288
], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 1, 6, 3], [And(-2^(1/2) < v
,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [
2695357/1048576, 1347679/524288], [0, 0]]]], [[3, 7, 1, 6, 4], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2695357/1048576, 1347679/524288
], [687203/1048576, 171801/262144]]]], [[3, 7, 1, 6, 5], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2695357/1048576, 1347679/524288
], [2, 2]]]], [[3, 8, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2),
1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [-3, -\
3], [-2, -2]]]], [[3, 8, 9, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/
2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2]
, [-3, -3], [-1, -1]]]], [[3, 8, 9, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [2, 2], [-3, -3], [0, 0]]]], [[3, 8, 9, 3, 4], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-3, -3], [1, 1]]]], [[3, 8, 9, 3, 5], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [2, 2], [-3, -3], [2, 2]]]], [[4, 1, 2, 2, 1], [v = -1, u < -3
^(1/2), x = -u^2, y = 0, z < u], [regular_chain, [[-1, -1], [-3, -3], [-9, -9]
, [0, 0], [-4, -4]]]], [[4, 1, 2, 2, 2], [v = -1, u < -3^(1/2), x = -u^2, y =
0, z = u], [regular_chain, [[-1, -1], [-3, -3], [-9, -9], [0, 0], [-3, -3]]]],
[[4, 1, 2, 2, 3], [v = -1, u < -3^(1/2), x = -u^2, y = 0, And(u < z,z < -u)],
[regular_chain, [[-1, -1], [-3, -3], [-9, -9], [0, 0], [0, 0]]]], [[4, 1, 2, 2
, 4], [v = -1, u < -3^(1/2), x = -u^2, y = 0, z = -u], [regular_chain, [[-1, -\
1], [-3, -3], [-9, -9], [0, 0], [3, 3]]]], [[4, 1, 2, 2, 5], [v = -1, u < -3^(
1/2), x = -u^2, y = 0, -u < z], [regular_chain, [[-1, -1], [-3, -3], [-9, -9],
[0, 0], [4, 4]]]], [[4, 2, 8, 1, 1], [v = -1, u = -3^(1/2), x = 1, y < -4, z <
-(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152
], [1, 1], [-5, -5], [-3, -3]]]], [[4, 2, 8, 1, 2], [v = -1, u = -3^(1/2), x =
1, y < -4, z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-5, -5], [-2, -2]]]], [[4, 2, 8, 1, 3], [v = -1, u
= -3^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1, 1], [-5, -\
5], [0, 0]]]], [[4, 2, 8, 1, 4], [v = -1, u = -3^(1/2), x = 1, y < -4, z = (-y
-1)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [
1, 1], [-5, -5], [2, 2]]]], [[4, 2, 8, 1, 5], [v = -1, u = -3^(1/2), x = 1, y
< -4, (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-5, -5], [3, 3]]]], [[4, 7, 2, 1, 1], [v = -1, And(
-1 < u,u < 0), x = u^2-2, y < 0, z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1,
-1], [-1/2, -1/2], [-7/4, -7/4], [-1, -1], [-3, -3]]]], [[4, 7, 2, 1, 2], [v =
-1, And(-1 < u,u < 0), x = u^2-2, y < 0, z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [-1, -1], [-1738867/
1048576, -3477733/2097152]]]], [[4, 7, 2, 1, 3], [v = -1, And(-1 < u,u < 0), x
= u^2-2, y < 0, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [-1, -1], [-1/4194304, -\
1/4194304]]]], [[4, 7, 2, 1, 4], [v = -1, And(-1 < u,u < 0), x = u^2-2, y < 0,
z = (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4],
[-1, -1], [869433/524288, 1738867/1048576]]]], [[4, 7, 2, 1, 5], [v = -1, And(
-1 < u,u < 0), x = u^2-2, y < 0, (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1,
-1], [-1/2, -1/2], [-7/4, -7/4], [-1, -1], [3, 3]]]], [[4, 8, 9, 7, 1], [v = -\
1, u = 0, 1 < x, 0 < y, z = z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [1,
1], [0, 0]]]], [[4, 14, 5, 8, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y =
1-x, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/
2, -1/2], [3/2, 3/2], [0, 0]]]], [[5, 1, 2, 7, 1], [And(-1 < v,v < 0), u < -(v
^2+2)^(1/2), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-1/2,
-1/2], [-3, -3], [-39/4, -39/4], [19, 19], [0, 0]]]], [[5, 5, 2, 2, 1], [And(-\
1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-736367/524288, -1472733/1048576], [0, 0], [-3, -3]]]], [[5, 5, 2,
2, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y =
0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-736367/524288, -1472733/1048576], [0, 0], [-19417/16384,
-1242687/1048576]]]], [[5, 5, 2, 2, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-736367/524288, -1472733/1048576], [0, 0], [0, 0]]]], [[5, 5, 2, 2, 4], [And(
-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-736367/524288, -1472733/1048576], [0, 0], [1242687/1048576, 19417/
16384]]]], [[5, 5, 2, 2, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v)
, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [0
, 0], [3, 3]]]], [[5, 7, 2, 6, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x =
u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/
4, -5/4], [5/4, 5/4], [-1, -1]]]], [[5, 7, 2, 6, 2], [And(-1 < v,v < 0), And(v
< u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-1/2, -1
/2], [0, 0], [-5/4, -5/4], [5/4, 5/4], [0, 0]]]], [[5, 7, 2, 6, 3], [And(-1 <
v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [5/4, 5/4], [1, 1]]]], [[5
, 9, 2, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2
-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -1], [-3,
-3]]]], [[5, 9, 2, 1, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -\
1], [-406493/262144, -3251943/2097152]]]], [[5, 9, 2, 1, 3], [And(-1 < v,v < 0
), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1
/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -1], [-1/
4194304, -1/4194304]]]], [[5, 9, 2, 1, 4], [And(-1 < v,v < 0), And(-v < u,u <
(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [-1, -1], [1625971/1048576, 406493/262144]]]], [[5,
9, 2, 1, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1
, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -1], [3, 3
]]]], [[5, 10, 9, 7, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, 0 < y,
z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2
], [1, 1], [0, 0]]]], [[6, 1, 7, 4, 1], [v = 0, u < -2^(1/2), And(0 < x,x < 1)
, y = -x, z < 0], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-1/2, -1/2],
[-1, -1]]]], [[6, 1, 7, 4, 2], [v = 0, u < -2^(1/2), And(0 < x,x < 1), y = -x,
z = 0], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[6, 1, 7, 4, 3], [v = 0, u < -2^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[6, 3,
4, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2 < y,y < 0), z < -
(1-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
-1, -1], [-763943/1048576, -763943/1048576], [-3, -3]]]], [[6, 3, 4, 3, 2], [v
= 0, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2 < y,y < 0), z = -(1-y)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
763943/1048576, -763943/1048576], [-689305/524288, -1378609/1048576]]]], [[6,
3, 4, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2 < y,y < 0), 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-763943/1048576, -763943/1048576], [0,
0]]]], [[6, 3, 4, 3, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2 <
y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-763943/1048576, -763943/1048576], [1378609/
1048576, 689305/524288]]]], [[6, 3, 4, 3, 5], [v = 0, And(-2^(1/2) < u,u < -1)
, x = -1, And(-u^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-763943/1048576, -763943/
1048576], [3, 3]]]], [[6, 9, 2, 2, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^
2-1, y = 0, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-2576463/1048576, -1288231/524288], [0, 0], [-3, -3]]]], [[
6, 9, 2, 2, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, y = 0, z = -(u^2+1
)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
2576463/1048576, -1288231/524288], [0, 0], [-410915/262144, -3287319/2097152]]
]], [[6, 9, 2, 2, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, y = 0, And(-
(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-2576463/1048576, -1288231/524288], [0, 0], [-1/
4194304, -1/4194304]]]], [[6, 9, 2, 2, 4], [v = 0, And(1 < u,u < 2^(1/2)), x =
-u^2-1, y = 0, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [-2576463/1048576, -1288231/524288], [0, 0], [1643659/
1048576, 410915/262144]]]], [[6, 9, 2, 2, 5], [v = 0, And(1 < u,u < 2^(1/2)),
x = -u^2-1, y = 0, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-2576463/1048576, -1288231/524288], [0, 0], [3, 3]
]]], [[6, 10, 8, 1, 1], [v = 0, u = 2^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)]
, [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1], [-5, -5],
[-3, -3]]]], [[6, 10, 8, 1, 2], [v = 0, u = 2^(1/2), x = 1, y < -4, z = -(-y-1
)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1, 1], [
-5, -5], [-2, -2]]]], [[6, 10, 8, 1, 3], [v = 0, u = 2^(1/2), x = 1, y < -4, 
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [1, 1], [-5, -5], [0, 0]]]], [[6, 10, 8, 1, 4], [v =
0, u = 2^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [1, 1], [-5, -5], [2, 2]]]], [[6, 10, 8, 1, 5
], [v = 0, u = 2^(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[0,
0], [741455/524288, 1482911/1048576], [1, 1], [-5, -5], [3, 3]]]], [[7, 3, 5,
5, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-343151/262144, -343151/262144], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[7,
3, 5, 5, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1
/2]]]], [[7, 3, 5, 5, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-\
1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[7, 3, 5, 5, 4], [And(0 < v,v < 1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144]
, [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[7, 3, 5, 5, 5], [And(0 < v,v < 1)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 5, 4, 4, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 0, z < -1], [regular_chain, [[
1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [0, 0], [-2, -2]]]]
, [[7, 5, 4, 4, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1,
y = 0, z = -1], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [0, 0], [-1, -1]]]], [[7, 5, 4, 4, 3], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [0
, 0], [0, 0]]]], [[7, 5, 4, 4, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-1, -1], [0, 0], [1, 1]]]], [[7, 5, 4, 4, 5], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 0, 1 < z], [regular_chain, [
[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [0, 0], [2, 2]]]],
[[8, 1, 7, 6, 1], [v = 1, u < -3^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [0, 0], [0, 0]]]], [[8, 3, 4, 9,
1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, u^2-1 < y, z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [3, 3]
, [0, 0]]]], [[8, 7, 7, 3, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0),
And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/
2, -1/2], [-1/8, -1/8], [-7/8, -7/8], [-2, -2]]]], [[8, 7, 7, 3, 2], [v = 1, 
And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), z = -(-x-
y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-7/8, -7/8],
[-1, -1]]]], [[8, 7, 7, 3, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0),
And(u^2-x-2 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-7/8, -7/8], [0, 0]]]], [
[8, 7, 7, 3, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(u^2-x-2 <
y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8
, -1/8], [-7/8, -7/8], [1, 1]]]], [[8, 7, 7, 3, 5], [v = 1, And(-1 < u,u < 0),
And(-u^2 < x,x < 0), And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-7/8, -7/8], [2, 2]]]], [
[8, 9, 6, 4, 1], [v = 1, And(0 < u,u < 1), x = -u^2, y = 0, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [-2, -2]]]], [[8, 9,
6, 4, 2], [v = 1, And(0 < u,u < 1), x = -u^2, y = 0, z = -u], [regular_chain,
[[1, 1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [-1/2, -1/2]]]], [[8, 9, 6, 4, 3],
[v = 1, And(0 < u,u < 1), x = -u^2, y = 0, And(-u < z,z < u)], [regular_chain,
[[1, 1], [1/2, 1/2], [-1/4, -1/4], [0, 0], [0, 0]]]], [[8, 9, 6, 4, 4], [v = 1
, And(0 < u,u < 1), x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [1/2, 1/
2], [-1/4, -1/4], [0, 0], [1/2, 1/2]]]], [[8, 9, 6, 4, 5], [v = 1, And(0 < u,u
< 1), x = -u^2, y = 0, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/
4], [0, 0], [2, 2]]]], [[8, 15, 2, 3, 1], [v = 1, 3^(1/2) < u, x = -u^2, And(0
< y,y < u^2), z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-9, -9],
[9/2, 9/2], [-4, -4]]]], [[8, 15, 2, 3, 2], [v = 1, 3^(1/2) < u, x = -u^2, And
(0 < y,y < u^2), z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-9, -9
], [9/2, 9/2], [-1112183/524288, -2224365/1048576]]]], [[8, 15, 2, 3, 3], [v =
1, 3^(1/2) < u, x = -u^2, And(0 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-
y)^(1/2))], [regular_chain, [[1, 1], [3, 3], [-9, -9], [9/2, 9/2], [0, 0]]]],
[[8, 15, 2, 3, 4], [v = 1, 3^(1/2) < u, x = -u^2, And(0 < y,y < u^2), z = (u^2
-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-9, -9], [9/2, 9/2], [2224365/
1048576, 1112183/524288]]]], [[8, 15, 2, 3, 5], [v = 1, 3^(1/2) < u, x = -u^2,
And(0 < y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-9,
-9], [9/2, 9/2], [4, 4]]]], [[9, 1, 8, 6, 1], [And(1 < v,v < 2^(1/2)), u < -(v
^2+2)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[9, 5, 7, 4, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-
v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-139585/524288, -279169/1048576], [-2, -2]]]], [[9, 5, 7, 4, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-139585/524288, -279169/1048576], [-1530309/
2097152, -382577/524288]]]], [[9, 5, 7, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^
2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -\
558339/2097152], [-139585/524288, -279169/1048576], [0, 0]]]], [[9, 5, 7, 4, 4
], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,
x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-139585/524288, -279169/1048576], [382577/524288,
765155/1048576]]]], [[9, 5, 7, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1
/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-558339/2097152, -558339/2097152], [-139585/524288, -\
279169/1048576], [2, 2]]]], [[9, 7, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z < -(-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [0, 0], [-1, -1], [-2, -2]]]], [[9, 7, 8, 3, 2], [And(1 < v
,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u
^2+v^2-1), z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-1, -1], [-1, -1]]]],
[[9, 7, 8, 3, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [0, 0], [-1, -1], [0, 0]]]], [[9, 7, 8, 3, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+
v^2-1), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [0, 0], [-1, -1], [1, 1]]]], [[9, 7, 8,
3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2
-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [0, 0], [-1, -1], [2
, 2]]]], [[9, 9, 5, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [
763943/1048576, 763943/1048576], [0, 0]]]], [[9, 11, 5, 1, 1], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^
2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [-2, -2]
, [-3, -3]]]], [[9, 11, 5, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-2, -2], [-3455375/2097152, -\
1727687/1048576]]]], [[9, 11, 5, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [-2, -2],
[0, 0]]]], [[9, 11, 5, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-2, -2], [1727687/1048576, 215961
/131072]]]], [[9, 11, 5, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-2, -2], [3, 3]]]], [[9, 15, 7, 4
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0
< x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743
/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/2097152], [
-250983/1048576, -125491/524288], [-1, -1]]]], [[9, 15, 7, 4, 2], [And(1 < v,v
< 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1)
, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327
/524288, 898327/524288], [501965/2097152, 501965/2097152], [-250983/1048576, -\
125491/524288], [0, 0]]]], [[9, 15, 7, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/2097152, 501965/2097152], [-250983/1048576, -125491/524288],
[1, 1]]]], [[9, 17, 4, 7, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
-1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [-1, -1], [8957873/2097152, 8957873/2097152], [0, 0]]]], [[
10, 5, 5, 8, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-3)
, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195
/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [799673/
1048576, 799673/1048576], [-1, -1]]]], [[10, 5, 5, 8, 2], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), And(-1 < x,x < u^2-3), y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
799673/1048576, -799673/1048576], [799673/1048576, 799673/1048576], [0, 0]]]],
[[10, 5, 5, 8, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(-1 < x,x < u^2-\
3), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-799673/1048576, -799673/1048576], [
799673/1048576, 799673/1048576], [1, 1]]]], [[10, 7, 6, 7, 1], [v = 2^(1/2), 
And(-v < u,u < -1), x = -u^2+1, u^2-1 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [2, 2], [0, 0]]]], [[10, 11, 5, 5, 1], [v = 2^(1/2),
And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [1
/4, 1/4], [-2, -2]]]], [[10, 11, 5, 5, 2], [v = 2^(1/2), And(0 < u,u < 1), And
(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[10, 11, 5, 5, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0
), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [0,
0]]]], [[10, 11, 5, 5, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1/2, 1/2], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 11, 5, 5
, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2]
, [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 13, 4, 8, 1], [v = 2^(1/2), And(1
< u,u < v), x = -1, y = 1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [
[10, 13, 4, 8, 2], [v = 2^(1/2), And(1 < u,u < v), x = -1, y = 1, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1, -1], [1, 1], [0, 0]]]], [[10, 13, 4, 8, 3], [v = 2^(1/2), And(1
< u,u < v), x = -1, y = 1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[
11, 3, 4, 3, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
-1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [-391655/524288, -391655/524288]
, [-3, -3]]]], [[11, 3, 4, 3, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-\
391655/524288, -391655/524288], [-346489/262144, -1385955/1048576]]]], [[11, 3
, 4, 3, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1,
And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-\
391655/524288, -391655/524288], [0, 0]]]], [[11, 3, 4, 3, 4], [2^(1/2) < v, 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z
= (1-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[-1, -1], [-391655/524288, -391655/524288], [1385955/1048576, 346489/262144]]]
], [[11, 3, 4, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [-1, -1], [-391655/524288, -391655/
524288], [3, 3]]]], [[11, 5, 3, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [388037/524288, 776075/1048576], [-2, -2]]]], [[11, 5, 3, 6
, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1)
, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851
/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [388037/524288
, 776075/1048576], [-373161/524288, -1492643/2097152]]]], [[11, 5, 3, 6, 3], [
2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = u
^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/524288, 776075/1048576], [-1/4194304, -1/4194304]]]]
, [[11, 5, 3, 6, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^
2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3
, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152],
[388037/524288, 776075/1048576], [746321/1048576, 373161/524288]]]], [[11, 5,
3, 6, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x <
-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [388037/
524288, 776075/1048576], [2, 2]]]], [[11, 9, 5, 9, 1], [2^(1/2) < v, And(-(v^2
-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), -u^2+v^2-x-1 < y, z = z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2
], [3, 3], [0, 0]]]], [[11, 11, 3, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [11/4, 11/4], [-3, -\
3]]]], [[11, 11, 3, 5, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1
/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-11/2, -11/2], [11/4, 11/4], [-1738867/
1048576, -3477733/2097152]]]], [[11, 11, 3, 5, 3], [2^(1/2) < v, And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-\
11/2, -11/2], [11/4, 11/4], [-1/4194304, -1/4194304]]]], [[11, 11, 3, 5, 4], [
2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x <
-1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-\
11/2, -11/2], [11/4, 11/4], [869433/524288, 1738867/1048576]]]], [[11, 11, 3,
5, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1
< x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0
, 0], [-11/2, -11/2], [11/4, 11/4], [3, 3]]]], [[11, 16, 5, 5, 1], [2^(1/2) <
v, u = v, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3]
, [3, 3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 18, 6, 4, 1], [2^(1/2) <
v, u = (v^2+1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [0, 0], [0, 0], [-1, -1]]]], [[11, 18, 6, 4, 2], [2^(
1/2) < v, u = (v^2+1)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [0, 0], [0, 0], [0, 0]]]], [[11, 18, 6, 4, 3],
[2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[3, 3]
, [207243/65536, 3315889/1048576], [0, 0], [0, 0], [1, 1]]]], [[1, 1, 8, 8, 1]
, [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, y = u^2-v^2-2, z = z], [
regular_chain, [[-3, -3], [-5, -5], [1, 1], [14, 14], [0, 0]]]], [[1, 3, 5, 7,
1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [391655/524288, 391655/524288], [0,
0]]]], [[1, 7, 8, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0,
And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152]
, [-2, -2]]]], [[1, 7, 8, 5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [0, 0], [-516571/2097152, -516571/
2097152], [-16263/32768, -520415/1048576]]]], [[1, 7, 8, 5, 3], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/
2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152], [0, 0]]]], [[1,
7, 8, 5, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2
-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152], [520415/1048576
, 16263/32768]]]], [[1, 7, 8, 5, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/
2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [0, 0], [-516571/2097152, -516571/
2097152], [2, 2]]]], [[1, 9, 7, 4, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain,
[[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/
2097152], [-133259/524288, -266517/1048576], [-1, -1]]]], [[1, 9, 7, 4, 2], [v
< -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2
-1), y = -x, z = 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/2097152, 533035/2097152], [-133259/524288, -266517/1048576],
[0, 0]]]], [[1, 9, 7, 4, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-\
133259/524288, -266517/1048576], [1, 1]]]], [[1, 14, 8, 7, 1], [v < -2^(1/2),
u = (v^2-1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [1, 1], [1, 1], [0, 0]]]], [[1, 16, 7, 4, 1], [v < -
2^(1/2), u = -v, 1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [3, 3], [2,
2], [-2, -2], [-1, -1]]]], [[1, 16, 7, 4, 2], [v < -2^(1/2), u = -v, 1 < x, y
= -x, z = 0], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-2, -2], [0, 0]]]],
[[1, 16, 7, 4, 3], [v < -2^(1/2), u = -v, 1 < x, y = -x, 0 < z], [
regular_chain, [[-3, -3], [3, 3], [2, 2], [-2, -2], [1, 1]]]], [[1, 20, 8, 6,
1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[
-3, -3], [3477733/1048576, 1738867/524288], [1, 1], [0, 0], [0, 0]]]], [[2, 1,
5, 5, 1], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-\
1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[2, 1, 5, 5, 2], [v = -2^(1/2), u < -2,
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -\
1/2]]]], [[2, 1, 5, 5, 3], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2,
1, 5, 5, 4], [v = -2^(1/2), u < -2, And(-1 < x,x < 0), And(0 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 1, 5, 5, 5], [v = -2^(1/2), u <
-2, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [2, 2]
]]], [[2, 10, 7, 5, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1), And(-x < y,y <
0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2,
1/2], [-1/4, -1/4], [0, 0]]]], [[2, 12, 5, 3, 1], [v = -2^(1/2), u = 1, And(-1
< x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]
]]], [[2, 12, 5, 3, 2], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(-x-2 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1, 1], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]],
[[2, 12, 5, 3, 3], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[2,
12, 5, 3, 4], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1],
[-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[2, 12, 5, 3
, 5], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -\
1/2], [-3/4, -3/4], [3, 3]]]], [[2, 16, 8, 7, 1], [v = -2^(1/2), u = 3^(1/2),
x = 1, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [1, 1], [1, 1], [0, 0]]]], [[2, 18, 5, 8, 1],
[v = -2^(1/2), u = 2, And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]],
[[3, 4, 7, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x <
1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [-3, -\
3]]]], [[3, 4, 7, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0
< x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2]
, [-1482911/1048576, -741455/524288]]]], [[3, 4, 7, 2, 3], [And(-2^(1/2) < v,v
< -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[3, 4, 7, 2,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2,
z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/
1048576]]]], [[3, 4, 7, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-410915/262144, -3287319/2097152], [1/2, 1/2], [-5/2, -5/2
], [3, 3]]]], [[3, 6, 5, 6, 1], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x
< 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 10, 9,
1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y < -x-2, z < -(-x
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[3, 10, 9, 1, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[
3, 10, 9, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y < -x-2
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-5, -5], [-1/
4194304, -1/4194304]]]], [[3, 10, 9, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2-1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[3, 10, 9, 1, 5], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2],
[-5, -5], [3, 3]]]], [[3, 12, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, 1 <
x, And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[3
, 14, 7, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1)
, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-4, -4], [-3, -3]]]],
[[3, 14, 7, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x <
1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-4, -4], [-7846825/
4194304, -980853/524288]]]], [[3, 14, 7, 1, 3], [And(-2^(1/2) < v,v < -1), u =
(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576
, 410915/262144], [1/2, 1/2], [-4, -4], [0, 0]]]], [[3, 14, 7, 1, 4], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576
, 410915/262144], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [
[3, 14, 7, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x <
1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-4, -4], [3, 3]]]], [
[3, 16, 4, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y = 0,
z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[3, 16, 4, 4, 2], [And(-2^(1
/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1]
, [0, 0], [-1, -1]]]], [[3, 16, 4, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [0, 0],
[0, 0]]]], [[3, 16, 4, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
= -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-1, -1], [0, 0], [1, 1]]]], [[3, 16, 4, 4, 5]
, [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [0, 0], [2, 2]]]], [[4, 3, 1, 8, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x < -u^2, y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [
-6598195/4194304, -6598195/4194304], [-4, -4], [2346055/524288, 4692111/
1048576], [0, 0]]]], [[4, 4, 9, 5, 1], [v = -1, u = -2^(1/2), 1 < x, And(-x <
y,y < 0), z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [2, 2], [-1, -1], [0, 0]]]], [[4, 10, 7, 2, 1], [v = -1, u = 1, 1 < x, y =
-1-x, z < -1], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-3, -3], [-2, -2]]]
], [[4, 10, 7, 2, 2], [v = -1, u = 1, 1 < x, y = -1-x, z = -1], [regular_chain
, [[-1, -1], [1, 1], [2, 2], [-3, -3], [-1, -1]]]], [[4, 10, 7, 2, 3], [v = -1
, u = 1, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [1, 1
], [2, 2], [-3, -3], [0, 0]]]], [[4, 10, 7, 2, 4], [v = -1, u = 1, 1 < x, y =
-1-x, z = 1], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-3, -3], [1, 1]]]],
[[4, 10, 7, 2, 5], [v = -1, u = 1, 1 < x, y = -1-x, 1 < z], [regular_chain, [[
-1, -1], [1, 1], [2, 2], [-3, -3], [2, 2]]]], [[4, 12, 7, 6, 1], [v = -1, u =
2^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[5, 1, 5, 5, 1], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [1/4,
1/4], [-2, -2]]]], [[5, 1, 5, 5, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[5, 1, 5, 5,
3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
-3, -3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[5, 1, 5, 5, 4], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [1/2,
1/2]]]], [[5, 1, 5, 5, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,
x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
-3, -3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[5, 3, 2, 4, 1], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+
1, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-\
2583195/1048576, -1291597/524288], [1291597/524288, 2583195/1048576], [-1, -1]
]]], [[5, 3, 2, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [
1291597/524288, 2583195/1048576], [0, 0]]]], [[5, 3, 2, 4, 3], [And(-1 < v,v <
0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1,
0 < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-\
2583195/1048576, -1291597/524288], [1291597/524288, 2583195/1048576], [1, 1]]]
], [[5, 12, 7, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1),
And(0 < y,y < 1-x), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1
/2], [1/4, 1/4], [0, 0]]]], [[6, 1, 4, 6, 1], [v = 0, u < -2^(1/2), x = -1, y
= 1, z < 0], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [1, 1], [-1, -1]]]],
[[6, 1, 4, 6, 2], [v = 0, u < -2^(1/2), x = -1, y = 1, z = 0], [regular_chain,
[[0, 0], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[6, 1, 4, 6, 3], [v = 0, u <
-2^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[0, 0], [-3, -3], [-1, -1],
[1, 1], [1, 1]]]], [[6, 5, 4, 1, 1], [v = 0, And(-1 < u,u < 0), x = -1, y < -u
^2, z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-2, -\
2], [-3, -3]]]], [[6, 5, 4, 1, 2], [v = 0, And(-1 < u,u < 0), x = -1, y < -u^2
, z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-2, -2]
, [-1816187/1048576, -3632373/2097152]]]], [[6, 5, 4, 1, 3], [v = 0, And(-1 <
u,u < 0), x = -1, y < -u^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[6, 5, 4, 1, 4], [v = 0, And(-1 < u,u < 0), x = -1, y < -u^2, z
= (1-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-2, -2], [
908093/524288, 1816187/1048576]]]], [[6, 5, 4, 1, 5], [v = 0, And(-1 < u,u < 0
), x = -1, y < -u^2, (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2],
[-1, -1], [-2, -2], [3, 3]]]], [[6, 7, 4, 5, 1], [v = 0, And(0 < u,u < 1), x =
-1, And(0 < y,y < u^2), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2]
, [-1, -1], [1/8, 1/8], [-2, -2]]]], [[6, 7, 4, 5, 2], [v = 0, And(0 < u,u < 1
), x = -1, And(0 < y,y < u^2), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [1/
2, 1/2], [-1, -1], [1/8, 1/8], [-7846825/8388608, -980853/1048576]]]], [[6, 7,
4, 5, 3], [v = 0, And(0 < u,u < 1), x = -1, And(0 < y,y < u^2), And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1/8,
1/8], [0, 0]]]], [[6, 7, 4, 5, 4], [v = 0, And(0 < u,u < 1), x = -1, And(0 < y
,y < u^2), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [1
/8, 1/8], [980853/1048576, 490427/524288]]]], [[6, 7, 4, 5, 5], [v = 0, And(0
< u,u < 1), x = -1, And(0 < y,y < u^2), (1-y)^(1/2) < z], [regular_chain, [[0,
0], [1/2, 1/2], [-1, -1], [1/8, 1/8], [2, 2]]]], [[7, 1, 5, 8, 1], [And(0 < v,
v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [33/4, 33/4], [0, 0]]]], [
[7, 3, 2, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [4, 4], [
0, 0]]]], [[7, 7, 5, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x
< -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [-2, -2]]]], [[7
, 7, 5, 7, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1
), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [-1284239/2097152, -642119/1048576]]]],
[[7, 7, 5, 7, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^
2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [1/2, 1/2], [0, 0]]]], [[7,
7, 5, 7, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1),
And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [-7/8, -7/8], [1/2, 1/2], [642119/1048576, 80265/131072]]]], [[7, 7, 5
, 7, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And
(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0,
0], [-7/8, -7/8], [1/2, 1/2], [2, 2]]]], [[7, 9, 6, 2, 1], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [-3, -\
3]]]], [[7, 9, 6, 2, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x =
u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1
/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152],
[-848315/1048576, -3393259/4194304], [-19417/16384, -1242687/1048576]]]], [[7,
9, 6, 2, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y
= -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [0, 0]]]], [[
7, 9, 6, 2, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1
, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-\
848315/1048576, -3393259/4194304], [1242687/1048576, 19417/16384]]]], [[7, 9,
6, 2, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y =
-2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-848315/
1048576, -3393259/4194304], [3, 3]]]], [[7, 11, 3, 9, 1], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-
x-1 < y, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[-1815885/1048576, -1815885/1048576], [4, 4], [0, 0]]]], [[7, 13, 1, 3, 1], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-\
1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [5/8,
5/8], [-5, -5]]]], [[7, 13, 1, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [3, 3], [-11, -11], [5/8, 5/8], [-1688745/524288, -3377489/
1048576]]]], [[7, 13, 1, 3, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2
+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [5/8, 5/8], [0, 0]]]], [[7, 
13, 1, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,
y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-\
11, -11], [5/8, 5/8], [3377489/1048576, 1688745/524288]]]], [[7, 13, 1, 3, 5],
[And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x
-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [5/8,
5/8], [5, 5]]]], [[8, 3, 7, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And
(0 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-4, -4]
, [-3, -3]]]], [[8, 3, 7, 1, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0
< x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-4, -4]
, [-32543595/16777216, -16271797/8388608]]]], [[8, 3, 7, 1, 3], [v = 1, And(-3
^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-4, -4], [-5/16777216, -5/
16777216]]]], [[8, 3, 7, 1, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0
< x,x < u^2-2), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-4, -4]
, [1016987/524288, 2033975/1048576]]]], [[8, 3, 7, 1, 5], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/1048576,
248903/1048576], [-4, -4], [3, 3]]]], [[8, 5, 6, 2, 1], [v = 1, And(-2^(1/2) <
u,u < -1), x = u^2-2, y = -2*u^2+2, z < u], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-1917243/
2097152, -7668971/8388608], [-3, -3]]]], [[8, 5, 6, 2, 2], [v = 1, And(-2^(1/2
) < u,u < -1), x = u^2-2, y = -2*u^2+2, z = u], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
1917243/2097152, -7668971/8388608], [-1265743/1048576, -1265743/1048576]]]], [
[8, 5, 6, 2, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -2*u^2+2, 
And(u < z,z < -u)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1138531/2097152, -569265/1048576], [-1917243/2097152, -7668971/
8388608], [0, 0]]]], [[8, 5, 6, 2, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = u
^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1138531/2097152, -569265/1048576], [-1917243/2097152, -\
7668971/8388608], [1265743/1048576, 1265743/1048576]]]], [[8, 5, 6, 2, 5], [v
= 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -2*u^2+2, -u < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608], [3, 3]]]], [[
8, 11, 5, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = u^
2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/1048576, 29957
/131072], [-2, -2]]]], [[8, 11, 5, 6, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(
-1 < x,x < u^2-2), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/1048576, 29957/131072], [-772605/1048576, -1545209/2097152]]]], [[8, 11
, 5, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = u^2-x-2
, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/1048576, 29957/131072], [-1/4194304, -1/4194304]]]], [[8, 11, 5, 6, 4],
[v = 1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = u^2-x-2, z = (-u^2+
2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [239655/1048576, 29957/131072], [193151/
262144, 772605/1048576]]]], [[8, 11, 5, 6, 5], [v = 1, And(1 < u,u < 2^(1/2)),
And(-1 < x,x < u^2-2), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304],
[239655/1048576, 29957/131072], [2, 2]]]], [[8, 13, 4, 9, 1], [v = 1, And(2^(1
/2) < u,u < 3^(1/2)), x = -1, u^2-1 < y, z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1, -1], [3, 3], [0, 0]]]], [[9, 1, 10, 5,
1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-u^2+v^2+1
< y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [6860721/1048576, 3430361/524288], [-6860721/2097152, -6860721/2097152],
[0, 0]]]], [[9, 3, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-4, -4], [-3, -3]]]], [[9
, 3, 8, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-4, -4], [-1967663/
1048576, -15741303/8388608]]]], [[9, 3, 8, 1, 3], [And(1 < v,v < 2^(1/2)), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(
-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [-4, -4], [-7/16777216, -7/16777216]]]], [[9,
3, 8, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608],
[501965/1048576, 250983/524288], [-4, -4], [983831/524288, 1967663/1048576]]]]
, [[9, 3, 8, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-4, -4], [3, 3]]]], [[9,
13, 5, 9, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 <
x,x < u^2-v^2-1), -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [2, 2], [0, 0]]]], [[9, 15, 5, 3, 1], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-1/2, -1/2], [-66394533/67108864, -66394533/
67108864], [-3, -3]]]], [[9, 15, 5, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0)
, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-1/2, -1/2], [-66394533/67108864, -66394533/
67108864], [-639837/524288, -1279673/1048576]]]], [[9, 15, 5, 3, 3], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-66394533/67108864, -66394533/67108864], [0, 0]]]], [[
9, 15, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-66394533/67108864, -66394533/67108864], [1279673/
1048576, 639837/524288]]]], [[9, 15, 5, 3, 5], [And(1 < v,v < 2^(1/2)), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-1/2, -1/2], [-66394533/67108864, -66394533/
67108864], [3, 3]]]], [[10, 1, 11, 1, 1], [v = 2^(1/2), u < -2, u^2-3 < x, y <
-u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [7, 7], [-16, -16], [-4, -4]]]], [[10, 1, 11, 1, 2], [v = 2^(1/2)
, u < -2, u^2-3 < x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [7, 7], [-16, -16], [-3, -3]]]], [[
10, 1, 11, 1, 3], [v = 2^(1/2), u < -2, u^2-3 < x, y < -u^2-x+1, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [7, 7], [-16, -16], [0, 0]]]], [[10, 1, 11, 1, 4], [v = 2^(1/2), u
< -2, u^2-3 < x, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [7, 7], [-16, -16], [3, 3]]]], [[10, 1, 11
, 1, 5], [v = 2^(1/2), u < -2, u^2-3 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [-16, -16]
, [4, 4]]]], [[10, 3, 8, 4, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^
2-3, y = -u^2+3, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-126367/
262144, -505467/1048576], [-1, -1]]]], [[10, 3, 8, 4, 2], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/
1048576, 126367/262144], [-126367/262144, -505467/1048576], [0, 0]]]], [[10, 3
, 8, 4, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y = -u^2+3, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [505467/1048576, 126367/262144], [-126367/262144, -505467/
1048576], [1, 1]]]], [[10, 9, 6, 1, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = 0
, y < u^2-3, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [0, 0], [-4, -4], [-3, -3]]]], [[10, 9, 6, 1, 2], [v =
2^(1/2), And(-1 < u,u < 0), x = 0, y < u^2-3, z = -(-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-4, -4], [-2, -2]]
]], [[10, 9, 6, 1, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, y < u^2-3, And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [0, 0], [-4, -4], [0, 0]]]], [[10, 9, 6, 1, 4], [v = 2
^(1/2), And(-1 < u,u < 0), x = 0, y < u^2-3, z = (-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-4, -4], [2, 2]]]],
[[10, 9, 6, 1, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = 0, y < u^2-3, (-y)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [0,
0], [-4, -4], [3, 3]]]], [[10, 11, 3, 6, 1], [v = 2^(1/2), And(0 < u,u < 1), 
And(u^2-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [15/8, 15/8], [-1, -1]]]], [[10,
11, 3, 6, 2], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = -x, z
= 0], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -\
15/8], [15/8, 15/8], [0, 0]]]], [[10, 11, 3, 6, 3], [v = 2^(1/2), And(0 < u,u
< 1), And(u^2-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[741455/524288,
1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [15/8, 15/8], [1, 1]]]], [[10, 
15, 5, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And
(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [1/2, 1/2], [-2, -2]]]], [[10, 15, 5, 7, 2], [v = 2^(1/2), 
And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [1/2, 1/2], [
-1074733/2097152, -268683/524288]]]], [[10, 15, 5, 7, 3], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [
1/2, 1/2], [0, 0]]]], [[10, 15, 5, 7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2))
, And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [1/2, 1/2], [268683/524288, 
537367/1048576]]]], [[10, 15, 5, 7, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [1/2, 1/2], [2, 2]]]], [[10, 
17, 5, 1, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y < -u^
2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[10,
17, 5, 1, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y < -u^
2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[10, 17, 5, 1, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(-1 < x,x < 0), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[10, 17, 5, 1, 4], [v = 2^(1/2),
And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[10, 
17, 5, 1, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-1 < x,x < 0), y < -u^
2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[10, 18
, 9, 6, 1], [v = 2^(1/2), u = 2, 1 < x, y = 1-x, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [2, 2], [2, 2], [-1, -1], [0, 0]]]], [[11, 1,
6, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, u^2-v^2-1 < y, z = z], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [16, 16], [0, 0]]]], [[11, 5, 5, 7,
1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), 
And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/
2], [-2, -2]]]], [[11, 5, 5, 7, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -
v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [1/2, 1/2], [-1055459/2097152, -527729/1048576]]]], [[11,
5, 5, 7, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-
v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152,
-1579769/2097152], [1/2, 1/2], [0, 0]]]], [[11, 5, 5, 7, 4], [2^(1/2) < v, And
(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/2], [527729/1048576, 
263865/524288]]]], [[11, 5, 5, 7, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1579769/2097152
, -1579769/2097152], [1/2, 1/2], [2, 2]]]], [[11, 7, 6, 6, 1], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-129143/262144,
-516571/1048576], [516571/1048576, 129143/262144], [-1, -1]]]], [[11, 7, 6, 6,
2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+
1, z = 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
129143/262144, -516571/1048576], [516571/1048576, 129143/262144], [0, 0]]]], [
[11, 7, 6, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1
, y = u^2-v^2+1, 0 < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-129143/262144, -516571/1048576], [516571/1048576, 129143/262144],
[1, 1]]]], [[11, 12, 7, 7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), And(0 < x,x <
1), And(0 < y,y < 1-x), z = z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[11, 14, 6, 2, 1], [2^(1/2) <
v, u = (v^2-1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[11, 14, 6, 2
, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[11, 14, 6, 2, 3], [2^(1/2) < v, u = (v^
2-1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [0, 0], [-2, -2], [0, 0]]]], [[11, 14,
6, 2, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0], [-2, -2], [
741455/524288, 1482911/1048576]]]], [[11, 14, 6, 2, 5], [2^(1/2) < v, u = (v^2
-1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [0, 0], [-2, -2], [3, 3]]]], [[11, 18, 9, 4, 1], [2^
(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[3, 3],
[207243/65536, 3315889/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[11, 18, 9, 4
, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y = -x, z = 0], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [2, 2], [-2, -2], [0, 0]]]], [[11, 
18, 9, 4, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [-2, -2], [1,
1]]]], [[11, 20, 6, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 0, 1 < y, z =
z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [0, 0], [2, 2]
, [0, 0]]]], [[1, 1, 8, 9, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = 1, u^2-v
^2-2 < y, z = z], [regular_chain, [[-3, -3], [-5, -5], [1, 1], [15, 15], [0, 0
]]]], [[1, 3, 6, 3, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [0, 0], [-653799/524288, -653799/
524288], [-3, -3]]]], [[1, 3, 6, 3, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
653799/524288, -653799/524288], [-1170947/1048576, -585473/524288]]]], [[1, 3,
6, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, 
And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
653799/524288, -653799/524288], [0, 0]]]], [[1, 3, 6, 3, 4], [v < -2^(1/2), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0),
z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [0, 0], [-653799/524288, -653799/524288], [585473/524288, 1170947/
1048576]]]], [[1, 3, 6, 3, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-653799/524288, -\
653799/524288], [3, 3]]]], [[1, 7, 9, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^
2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
4, -4], [-3, -3]]]], [[1, 7, 9, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-4, -4], [-\
7846825/4194304, -980853/524288]]]], [[1, 7, 9, 1, 3], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [1/2, 1/2], [-4, -4], [0, 0]]]], [[1, 7, 9, 1, 4], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(
1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2,
1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[1, 7, 9, 1, 5], [v < -2
^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-
y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [1/2, 1/2], [-4, -4], [3, 3]]]], [[1, 9, 8, 2, 1], [v < -2^(1/2), And(-(v^2-\
1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [533035/1048576, 133259/262144], [-395403/131072, -3163223/1048576],
[-3, -3]]]], [[1, 9, 8, 2, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-395403/131072, -3163223/1048576], [-3321417/2097152
, -415177/262144]]]], [[1, 9, 8, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [533035/1048576, 133259/262144], [-395403/131072, -3163223/
1048576], [0, 0]]]], [[1, 9, 8, 2, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-395403/131072, -3163223/1048576], [415177/262144, 
1660709/1048576]]]], [[1, 9, 8, 2, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-395403/131072, -3163223/1048576], [3, 3]]]], [[1, 
14, 9, 1, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [-\
5, -5], [-3, -3]]]], [[1, 14, 9, 1, 2], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 <
x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [
[1, 14, 9, 1, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, y < -x-2, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[1, 14, 9, 1
, 4], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[1, 14, 9, 1, 5], [v < -2^(1/2), u = (v^
2-1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [2, 2], [-5, -5], [3, 3]]]], [[1, 17, 1, 2, 1
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(
-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3
], [0, 0], [-3, -3]]]], [[1, 17, 1, 2, 2], [v < -2^(1/2), And(-v < u,u < (v^2+
1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[1, 17, 1, 2, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[1, 17, 1, 2, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]],
[[1, 17, 1, 2, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-\
1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [0, 0], [3, 3]]]], [[1, 20, 9, 2, 1], [v < -2^(1/2), u = (v
^2+2)^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [2, 2], [-5, -5], [-3, -3]]]], [[1, 20, 9, 2
, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [-5, -5],
[-1816187/1048576, -3632373/2097152]]]], [[1, 20, 9, 2, 3], [v < -2^(1/2), u =
(v^2+2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain
, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [-5, -5], [-1/4194304,
-1/4194304]]]], [[1, 20, 9, 2, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y
= -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[1, 20, 9, 2,
5], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [-5, -5],
[3, 3]]]], [[2, 1, 6, 3, 1], [v = -2^(1/2), u < -2, x = 0, And(-u^2+1 < y,y <
0), z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3
, -3], [0, 0], [-4, -4], [-3, -3]]]], [[2, 1, 6, 3, 2], [v = -2^(1/2), u < -2,
x = 0, And(-u^2+1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [0, 0], [-4, -4], [-2, -2]]]], [[2, 1, 6,
3, 3], [v = -2^(1/2), u < -2, x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [0, 0], [-4, -4], [0, 0]]]], [[2, 1, 6, 3, 4], [v = -2^(1/2), u < -2, x =
0, And(-u^2+1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [0, 0], [-4, -4], [2, 2]]]], [[2, 1, 6, 3, 5], [v =
-2^(1/2), u < -2, x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-4, -4]
, [3, 3]]]], [[2, 10, 6, 5, 1], [v = -2^(1/2), u = 0, x = 0, And(0 < y,y < 1),
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [
1/2, 1/2], [0, 0]]]], [[2, 12, 4, 7, 1], [v = -2^(1/2), u = 1, x = -1, 1 < y,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1],
[2, 2], [0, 0]]]], [[2, 16, 8, 2, 1], [v = -2^(1/2), u = 3^(1/2), x = 1, y = -\
3, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093
/524288, 1816187/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[2, 16, 8, 2, 2], [
v = -2^(1/2), u = 3^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1, 1], [-\
3, -3], [-1482911/1048576, -741455/524288]]]], [[2, 16, 8, 2, 3], [v = -2^(1/2
), u = 3^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1, 1],
[-3, -3], [0, 0]]]], [[2, 16, 8, 2, 4], [v = -2^(1/2), u = 3^(1/2), x = 1, y =
-3, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093
/524288, 1816187/1048576], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]
]], [[2, 16, 8, 2, 5], [v = -2^(1/2), u = 3^(1/2), x = 1, y = -3, 2^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187
/1048576], [1, 1], [-3, -3], [3, 3]]]], [[2, 18, 5, 7, 1], [v = -2^(1/2), u =
2, And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-1/2, -1/2], [1, 1], [0, 0]]]], [[3, 4, 5,
7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), -x <
y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 6, 5, 3, 1],
[And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[3, 6,
5, 3, 2], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), And(-1-x < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1, -1], [-1482911/
2097152, -741455/1048576]]]], [[3, 6, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u =
v, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-1, -1], [0, 0]]]], [[3, 6, 5, 3, 4],
[And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1, -1], [741455/1048576, 
46341/65536]]]], [[3, 6, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x
,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2],
[-1, -1], [2, 2]]]], [[3, 10, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [
-2, -2], [-2, -2]]]], [[3, 10, 8, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1
)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [
-2, -2], [-1, -1]]]], [[3, 10, 8, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1
)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-2, -2], [0, 0]]]], [[3, 10, 8, 3, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-2, -2], [1, 1]]]], [[3, 10, 8, 3, 5], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-2, -2], [2, 2]]]], [[3, 12, 7, 4, 1], [And(-2^(1/2) < v,v
< -1), u = -v, 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -2], [-1, -\
1]]]], [[3, 12, 7, 4, 2], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y = -x, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576,
1265743/1048576], [2, 2], [-2, -2], [0, 0]]]], [[3, 12, 7, 4, 3], [And(-2^(1/2
) < v,v < -1), u = -v, 1 < x, y = -x, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -\
2], [1, 1]]]], [[3, 14, 7, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2)
, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-1/2, -1/2],
[-1, -1]]]], [[3, 14, 7, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-1/2, -1/2], [0, 0]]
]], [[3, 14, 7, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x
,x < 1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [1643659/1048576, 410915/262144], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3,
16, 5, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
y = -x-3, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[
3, 16, 5, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x <
0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/2, -5/2], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 16, 5, 2, 3], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[3
, 16, 5, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0
), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-5/2, -5/2], [908093
/524288, 1816187/1048576]]]], [[3, 16, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -\
1/2], [-5/2, -5/2], [3, 3]]]], [[4, 3, 1, 9, 1], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x < -u^2, u^2-x-2 < y, z = z], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [-4, -4], [6, 6], [0, 0]]]], [[4, 5, 1, 3, 1], [v
= -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(0 < y,y < -u^2-x), z < -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [1617841/2097152, 1617841/2097152], [-3, -3]]]], [[4, 5, 1, 3, 2], [v = -1
, And(-2^(1/2) < u,u < -1), x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3],
[1617841/2097152, 1617841/2097152], [-782675/524288, -1565349/1048576]]]], [[4
, 5, 1, 3, 3], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(0 < y,y < -u^2
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [1617841/2097152, 1617841/
2097152], [0, 0]]]], [[4, 5, 1, 3, 4], [v = -1, And(-2^(1/2) < u,u < -1), x <
-u^2, And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [1617841/2097152, 1617841/
2097152], [1565349/1048576, 782675/524288]]]], [[4, 5, 1, 3, 5], [v = -1, And(
-2^(1/2) < u,u < -1), x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1617841/2097152, 1617841/2097152], [3, 3]]]], [[4, 10, 7, 5, 1], [v = -1, u =
1, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [1, 1], [2, 2]
, [-1, -1], [0, 0]]]], [[4, 12, 8, 6, 1], [v = -1, u = 2^(1/2), x = 1, y = 0,
z = z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [
0, 0], [0, 0]]]], [[5, 1, 5, 6, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [-\
1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[5, 1, 5, 6, 2], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/
2], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[5, 1, 5, 6, 3], [And(-1 <
v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [
[5, 3, 3, 2, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [-3, -3]]]],
[[5, 3, 3, 2, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [-3291611/
2097152, -1645805/1048576]]]], [[5, 3, 3, 2, 3], [And(-1 < v,v < 0), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-\
1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576],
[-1534619/2097152, -767309/1048576], [0, 0]]]], [[5, 3, 3, 2, 4], [And(-1 < v,
v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [-\
1534619/2097152, -767309/1048576], [1645805/1048576, 822903/524288]]]], [[5, 3
, 3, 2, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [3, 3]]]], [[
5, 12, 7, 2, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y =
-x-3, z < -3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-\
7/2, -7/2], [-3, -3]]]], [[5, 12, 7, 2, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1
/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1/2, -1/2],
[3/2, 3/2], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]],
[[5, 12, 7, 2, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y
= -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[5, 12, 7, 2, 4],
[And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)
], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-7/2, -7/2], [
908093/524288, 1816187/1048576]]]], [[5, 12, 7, 2, 5], [And(-1 < v,v < 0), u =
(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [3/2, 3/2], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[6, 1, 4, 5, 1], [
v = 0, u < -2^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[6, 1, 4
, 5, 2], [v = 0, u < -2^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[6, 1, 4, 5, 3], [v = 0, u < -2^(1/2), x = -1, And(0 < y,
y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-3,
-3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[6, 1, 4, 5, 4], [v = 0, u < -2^(1/2),
x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3],
[-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[6, 1, 4, 5, 5], [v =
0, u < -2^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [
[0, 0], [-3, -3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[6, 5, 3, 3, 1], [v = 0, 
And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z < -(-x-y
)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-1/16, -1/16],
[-3, -3]]]], [[6, 5, 3, 3, 2], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -\
1), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/
2, -1/2], [-9/8, -9/8], [-1/16, -1/16], [-285665/262144, -1142659/1048576]]]],
[[6, 5, 3, 3, 3], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(-u^2-
x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0,
0], [-1/2, -1/2], [-9/8, -9/8], [-1/16, -1/16], [0, 0]]]], [[6, 5, 3, 3, 4], [
v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-1/16, -1
/16], [1142659/1048576, 285665/262144]]]], [[6, 5, 3, 3, 5], [v = 0, And(-1 <
u,u < 0), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [-1/16, -1/16], [3, 3]]]]
, [[6, 7, 4, 2, 1], [v = 0, And(0 < u,u < 1), x = -1, y = -u^2, z < -(u^2+1)^(
1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-1/4, -1/4], [-3, -3]]]
], [[6, 7, 4, 2, 2], [v = 0, And(0 < u,u < 1), x = -1, y = -u^2, z = -(u^2+1)^
(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-1/4, -1/4], [-146543/
131072, -1172343/1048576]]]], [[6, 7, 4, 2, 3], [v = 0, And(0 < u,u < 1), x =
-1, y = -u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0,
0], [1/2, 1/2], [-1, -1], [-1/4, -1/4], [0, 0]]]], [[6, 7, 4, 2, 4], [v = 0, 
And(0 < u,u < 1), x = -1, y = -u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0
], [1/2, 1/2], [-1, -1], [-1/4, -1/4], [1172343/1048576, 146543/131072]]]], [[
6, 7, 4, 2, 5], [v = 0, And(0 < u,u < 1), x = -1, y = -u^2, (u^2+1)^(1/2) < z]
, [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-1/4, -1/4], [3, 3]]]], [[7,
1, 5, 3, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^
2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3
], [-1/2, -1/2], [-37/8, -37/8], [-4, -4]]]], [[7, 1, 5, 3, 2], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(
-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-37/8, -37
/8], [-2373815/1048576, -1186907/524288]]]], [[7, 1, 5, 3, 3], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1
/2, -1/2], [-37/8, -37/8], [0, 0]]]], [[7, 1, 5, 3, 4], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-37/8, -37/8], [
1186907/524288, 2373815/1048576]]]], [[7, 1, 5, 3, 5], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-37/8, -37/8], [4, 4
]]]], [[7, 3, 2, 6, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [regular_chain, [[1/2, 1/2],
[-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [767309
/262144, 3069237/1048576], [0, 0]]]], [[7, 7, 4, 9, 1], [And(0 < v,v < 1), And
(-v < u,u < v), x = -1, 1 < y, z = z], [regular_chain, [[1/2, 1/2], [0, 0], [-\
1, -1], [2, 2], [0, 0]]]], [[7, 9, 5, 8, 1], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[1
/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [836497/1048576, 418249/524288], [-1, -1]]]], [[7, 9, 5, 8, 2], [And
(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x
, z = 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [836497/1048576, 418249/524288], [0, 0]]]]
, [[7, 9, 5, 8, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 <
x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [836497/
1048576, 418249/524288], [1, 1]]]], [[7, 11, 4, 5, 1], [And(0 < v,v < 1), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [1
/2, 1/2], [-2, -2]]]], [[7, 11, 4, 5, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [1/2, 1/
2], [-1482911/2097152, -741455/1048576]]]], [[7, 11, 4, 5, 3], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), And(-(
1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [-1, -1], [1/2, 1/2], [0, 0]]]], [[7, 11, 4, 5, 4], [And(0 < v
,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), z
= (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[7, 11, 4, 5, 5], [And
(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y <
1), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [-1, -1], [1/2, 1/2], [2, 2]]]], [[7, 13, 1, 4, 1], [And(0 < v,v < 1)
, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [5/4, 5/4], [-5, -5]]]], [[
7, 13, 1, 4, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^
2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11,
-11], [5/4, 5/4], [-1637089/524288, -3274177/1048576]]]], [[7, 13, 1, 4, 3], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3,
3], [-11, -11], [5/4, 5/4], [0, 0]]]], [[7, 13, 1, 4, 4], [And(0 < v,v < 1), (
v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [5/4, 5/4], [3274177/1048576,
1637089/524288]]]], [[7, 13, 1, 4, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2,
1/2], [3, 3], [-11, -11], [5/4, 5/4], [5, 5]]]], [[8, 3, 7, 8, 1], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = u^2-x-2, z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/1048576,
248903/1048576], [248903/1048576, 31113/131072], [0, 0]]]], [[8, 5, 6, 5, 1],
[v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < -u^2+2), z < -(-u^2
-y+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
-1138531/2097152, -569265/1048576], [569265/2097152, 569265/2097152], [-2, -2]
]]], [[8, 5, 6, 5, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,
y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [569265/
2097152, 569265/2097152], [-1092629/2097152, -273157/524288]]]], [[8, 5, 6, 5,
3], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, And(0 < y,y < -u^2+2), And(-(
-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [569265/
2097152, 569265/2097152], [0, 0]]]], [[8, 5, 6, 5, 4], [v = 1, And(-2^(1/2) <
u,u < -1), x = u^2-2, And(0 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/2097152, 569265/2097152], [273157/524288, 
546315/1048576]]]], [[8, 5, 6, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = u^
2-2, And(0 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/2097152, 569265/2097152], [2, 2]]]], [[8, 11, 6, 2, 1], [v = 1, And(1 <
u,u < 2^(1/2)), x = u^2-2, y = -2*u^2+2, z < -u], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
1917243/2097152, -7668971/8388608], [-3, -3]]]], [[8, 11, 6, 2, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x = u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
-1917243/2097152, -7668971/8388608], [-1265743/1048576, -1265743/1048576]]]],
[[8, 11, 6, 2, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = -2*u^2+2, 
And(-u < z,z < u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [-1138531/2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608],
[0, 0]]]], [[8, 11, 6, 2, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = -\
2*u^2+2, z = u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1138531/2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608], [
1265743/1048576, 1265743/1048576]]]], [[8, 11, 6, 2, 5], [v = 1, And(1 < u,u <
2^(1/2)), x = u^2-2, y = -2*u^2+2, u < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-1917243/
2097152, -7668971/8388608], [3, 3]]]], [[8, 13, 5, 1, 1], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(-1 < x,x < 0), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-3,
-3], [-3, -3]]]], [[8, 13, 5, 1, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And
(-1 < x,x < 0), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[8, 13, 5, 1, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 
And(-1 < x,x < 0), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-3,
-3], [0, 0]]]], [[8, 13, 5, 1, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-\
1 < x,x < 0), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097
/2097152, 3299097/2097152], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/
1048576]]]], [[8, 13, 5, 1, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 <
x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[9, 1, 11, 5, 1
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-x < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3
, -3], [8, 8], [-9916495/2097152, -9916495/2097152], [0, 0]]]], [[9, 3, 8, 4,
1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u
^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/
524288], [-250983/524288, -501965/1048576], [-1, -1]]]], [[9, 3, 8, 4, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^
2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/
524288], [-250983/524288, -501965/1048576], [0, 0]]]], [[9, 3, 8, 4, 3], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1,
y = -u^2+v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
250983/524288, -501965/1048576], [1, 1]]]], [[9, 13, 5, 6, 1], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2
-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [122559/524288, 245119/1048576], [-2, -2]]]], [[9, 13, 5, 6, 2], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1
), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [122559/524288, 245119/1048576], [-765155/1048576,
-1530309/2097152]]]], [[9, 13, 5, 6, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1
)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [122559/524288, 245119/1048576], [-1/4194304, -1/4194304]]]]
, [[9, 13, 5, 6, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 
And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3213833/4194304, -3213833/4194304], [122559/524288, 245119/1048576
], [382577/524288, 765155/1048576]]]], [[9, 13, 5, 6, 5], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [
122559/524288, 245119/1048576], [2, 2]]]], [[9, 15, 4, 5, 1], [And(1 < v,v < 2
^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), z
< -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[9, 15, 4, 5, 2],
[And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And
(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[9, 15, 4, 5, 3], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-1, -1], [1/2, 1/2], [0, 0]]]], [[9, 15, 4, 5
, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -\
1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[9, 15, 4, 5, 5], [And(1 < v,v < 2^(1/2)), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 1, 10, 7, 1], [v = 2^(1
/2), u < -2, x = u^2-3, 0 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [6, 6], [1, 1], [0, 0]]]], [[10, 3, 7, 8, 1], [v =
2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), y = u^2-x-3, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339
/2097152], [505467/2097152, 505467/2097152], [252733/1048576, 126367/524288],
[0, 0]]]], [[10, 9, 5, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x <
0), And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [-1/2, -1/2], [7/8, 7/8], [0, 0]]]], [[10, 11, 2, 6,
1], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y = -2*u^2+4, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4],
[7/2, 7/2], [0, 0]]]], [[10, 15, 5, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)
), And(-1 < x,x < u^2-3), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
3198693/4194304, -3198693/4194304], [124451/524288, 248903/1048576], [-2, -2]]
]], [[10, 15, 5, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u
^2-3), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [124451/524288, 248903/1048576], [-1519901/2097152, -379975/
524288]]]], [[10, 15, 5, 6, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 <
x,x < u^2-3), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [124451/524288, 248903/1048576
], [0, 0]]]], [[10, 15, 5, 6, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1
< x,x < u^2-3), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [124451/524288, 248903/1048576], [379975/524288, 
759951/1048576]]]], [[10, 15, 5, 6, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693
/4194304, -3198693/4194304], [124451/524288, 248903/1048576], [2, 2]]]], [[10,
17, 4, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < 1),
z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 17, 4, 5,
2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,y < 1), z = -(1-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[10, 17, 4, 5, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(0 < y,
y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1], [1/2,
1/2], [0, 0]]]], [[10, 17, 4, 5, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x =
-1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[10, 17, 4, 5, 5], [v = 2^(1/2), And(3^(1/2)
< u,u < 2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[10, 19, 1, 4, 1], [v = 2^(1/2), 2 < u, x < -u^2+1, y
= -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [1, 1], [-4, -4]]]], [[10, 19, 1, 4, 2], [v = 2^(1
/2), 2 < u, x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9, -9], [1, 1], [-2965821/1048576,
-11863283/4194304]]]], [[10, 19, 1, 4, 3], [v = 2^(1/2), 2 < u, x < -u^2+1, y
= -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9, -9], [1, 1], [-3/8388608, -3/
8388608]]]], [[10, 19, 1, 4, 4], [v = 2^(1/2), 2 < u, x < -u^2+1, y = -u^2-x+1
, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3
], [-9, -9], [1, 1], [741455/262144, 2965821/1048576]]]], [[10, 19, 1, 4, 5],
[v = 2^(1/2), 2 < u, x < -u^2+1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [1, 1], [4
, 4]]]], [[11, 1, 7, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
-5, -5], [1/2, 1/2], [-9, -9], [-4, -4]]]], [[11, 1, 7, 3, 2], [2^(1/2) < v, u
< -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-9, -9], [-24456785/
8388608, -1528549/524288]]]], [[11, 1, 7, 3, 3], [2^(1/2) < v, u < -(v^2+2)^(1
/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-9, -9], [0, 0
]]]], [[11, 1, 7, 3, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5,
-5], [1/2, 1/2], [-9, -9], [1528549/524288, 3057099/1048576]]]], [[11, 1, 7, 3
, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-\
9, -9], [4, 4]]]], [[11, 5, 6, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u <
-v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [-33112529/67108864, -33112529/67108864], [-2, -2]]]], [[11,
5, 6, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(
-2*u^2+2*v^2 < y,y < 0), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-\
33112529/67108864, -33112529/67108864], [-34359738247/34359738368, -\
281474975719423/281474976710656]]]], [[11, 5, 6, 3, 3], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2
+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-\
33112529/67108864, -33112529/67108864], [-267444223/562949953421312, -\
267444223/562949953421312]]]], [[11, 5, 6, 3, 4], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+
1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193
/1048576, -1062385/2097152], [-33112529/67108864, -33112529/67108864], [
1048575/1048576, 1]]]], [[11, 5, 6, 3, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) <
u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2) <
z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [-33112529/67108864, -33112529/67108864], [2, 2]]]
], [[11, 7, 6, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v
^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-129143/262144, -516571/1048576], [2, 2], [0, 0]]]], [[11,
12, 8, 5, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, And(-1 < y,y < 0), z = z
], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [-1/2, -1/2
], [0, 0]]]], [[11, 14, 6, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, 0 <
y, z = z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0],
[1, 1], [0, 0]]]], [[11, 19, 1, 2, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[11, 
19, 1, 2, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2
+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[11, 19, 1, 2, 3], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, And(-(-x
)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-4, -4], [0, 0], [0, 0]]]], [[11, 19, 1, 2, 4], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(
1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4],
[0, 0], [2, 2]]]], [[11, 19, 1, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3
], [3396811/1048576, 3396811/1048576], [-4, -4], [0, 0], [3, 3]]]], [[11, 20,
7, 1, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-
x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2,
1/2], [-5, -5], [-4, -4]]]], [[11, 20, 7, 1, 2], [2^(1/2) < v, u = (v^2+2)^(1/
2), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [-5, -5], [-1112183/524288, -\
2224365/1048576]]]], [[11, 20, 7, 1, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(
0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-5, -5
], [0, 0]]]], [[11, 20, 7, 1, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x
< 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [
[11, 20, 7, 1, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288
], [1/2, 1/2], [-5, -5], [4, 4]]]], [[1, 5, 4, 7, 1], [v < -2^(1/2), And(-(v^2
+1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [195745/
262144, 195745/262144], [-2, -2]]]], [[1, 5, 4, 7, 2], [v < -2^(1/2), And(-(v^
2+1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [195745/
262144, 195745/262144], [-527729/1048576, -1055457/2097152]]]], [[1, 5, 4, 7,
3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y <
1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1, -1], [195745/262144, 195745/262144], [-1/
4194304, -1/4194304]]]], [[1, 5, 4, 7, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) <
u,u < v), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[
-3, -3], [-403851/131072, -403851/131072], [-1, -1], [195745/262144, 195745/
262144], [32983/65536, 527729/1048576]]]], [[1, 5, 4, 7, 5], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/2) < z
], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [
195745/262144, 195745/262144], [2, 2]]]], [[1, 7, 5, 6, 1], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [133001/524288, 266003/1048576], [
-2, -2]]]], [[1, 7, 5, 6, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [133001/524288, 266003/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[1, 7, 5, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [133001/524288, 266003/
1048576], [-1/4194304, -1/4194304]]]], [[1, 7, 5, 6, 4], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [133001/524288, 266003/1048576], [
367989/524288, 735979/1048576]]]], [[1, 7, 5, 6, 5], [v < -2^(1/2), And(v < u,
u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [133001/524288, 266003/1048576], [2, 2]]]],
[[1, 11, 4, 6, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
= -1, y = 1, z < 0], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [1, 1], [-1,
-1]]]], [[1, 11, 4, 6, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(
1/2)), x = -1, y = 1, z = 0], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [1,
1], [0, 0]]]], [[1, 11, 4, 6, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v
^2-2)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [0, 0], [-1, -\
1], [1, 1], [1, 1]]]], [[1, 13, 1, 9, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), x < u^2-v^2-1, -u^2+v^2-x-1 < y, z = z], [regular_chain,
[[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [6, 6], [0, 0]]]], [[1,
18, 8, 2, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, y = -3, z < -2^(1/2)],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [-3, -3],
[-3, -3]]]], [[1, 18, 8, 2, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, y = -\
3, z = -2^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[1, 18, 8, 2, 3], [v
< -2^(1/2), u = (v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [-3, -3],
[0, 0]]]], [[1, 18, 8, 2, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, y = -3,
z = 2^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1,
1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[1, 18, 8, 2, 5], [v < -2^
(1/2), u = (v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-3, -\
3], [207243/65536, 3315889/1048576], [1, 1], [-3, -3], [3, 3]]]], [[1, 20, 5,
7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x
), z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2
, -1/2], [1, 1], [0, 0]]]], [[2, 3, 2, 7, 1], [v = -2^(1/2), And(-2 < u,u < -3
^(1/2)), x = -u^2+1, 2*u^2-4 < y, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [-650655/262144, -\
2602619/1048576], [4, 4], [0, 0]]]], [[2, 5, 2, 1, 1], [v = -2^(1/2), And(-3^(
1/2) < u,u < v), x = -u^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-\
1546383/1048576, -773191/524288], [-1, -1], [-3, -3]]]], [[2, 5, 2, 1, 2], [v
= -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, y < 0, z = -(u^2-y-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [-1, -1], [-1649549/
1048576, -3299097/2097152]]]], [[2, 5, 2, 1, 3], [v = -2^(1/2), And(-3^(1/2) <
u,u < v), x = -u^2+1, y < 0, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-1546383/1048576, -773191/524288], [-1, -1], [-1/4194304, -\
1/4194304]]]], [[2, 5, 2, 1, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -
u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-6598195/4194304, -6598195/4194304], [-1546383/1048576, -\
773191/524288], [-1, -1], [412387/262144, 1649549/1048576]]]], [[2, 5, 2, 1, 5
], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x = -u^2+1, y < 0, (u^2-y-1)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304,
-6598195/4194304], [-1546383/1048576, -773191/524288], [-1, -1], [3, 3]]]], [[
2, 7, 1, 9, 1], [v = -2^(1/2), And(v < u,u < -1), x < u^2-3, -x < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [4, 4], [0, 0]]]], [[2, 9, 1, 3, 1], [v = -2^(1/2)
, And(-1 < u,u < 0), x < u^2-3, And(0 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [5
/8, 5/8], [-3, -3]]]], [[2, 9, 1, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0), x <
u^2-3, And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [5/8, 5/8], [-7705429/
4194304, -1926357/1048576]]]], [[2, 9, 1, 3, 3], [v = -2^(1/2), And(-1 < u,u <
0), x < u^2-3, And(0 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4]
, [5/8, 5/8], [0, 0]]]], [[2, 9, 1, 3, 4], [v = -2^(1/2), And(-1 < u,u < 0), x
< u^2-3, And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [5/8, 5/8], [1926357/
1048576, 963179/524288]]]], [[2, 9, 1, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0)
, x < u^2-3, And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [5/8, 5/8], [3, 3]]]
], [[2, 12, 9, 1, 1], [v = -2^(1/2), u = 1, 1 < x, y < -x-2, z < -(-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-5, -\
5], [-3, -3]]]], [[2, 12, 9, 1, 2], [v = -2^(1/2), u = 1, 1 < x, y < -x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [
2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 9, 1, 3], [
v = -2^(1/2), u = 1, 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-5, -5
], [-1/4194304, -1/4194304]]]], [[2, 12, 9, 1, 4], [v = -2^(1/2), u = 1, 1 < x
, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[2, 
12, 9, 1, 5], [v = -2^(1/2), u = 1, 1 < x, y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-5, -5],
[3, 3]]]], [[2, 15, 1, 2, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2
+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[
2, 15, 1, 2, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[2, 15, 1, 2, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u
^2+1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [0, 0]
, [-1/4194304, -1/4194304]]]], [[2, 15, 1, 2, 4], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), x < -u^2+1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [0, 0]
, [908093/524288, 1816187/1048576]]]], [[2, 15, 1, 2, 5], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x < -u^2+1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3]
, [0, 0], [3, 3]]]], [[3, 1, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [-1, -1], [-5, -5]]]], [[3, 1, 2, 1, 2], [And(-2^(1/2) < v,v < -1),
u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [-1, -1], [-3239217/1048576, -202451/65536]]]], [[3
, 1, 2, 1, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1,
y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [-1, -1], [0, 0]]]], [[3, 1, 2, 1, 4], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [-1, -1], [202451/65536, 3239217/1048576]]]], [[3,
1, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y
< 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [-1, -1], [5, 5]]]],
[[3, 2, 8, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = -1
, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1, 1], [-1, -1], [-1, -1]]]], [[3, 2, 8, 4, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = -1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [-1, -1], [0, 0]]]], [[3, 2, 8, 4, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1,
1], [-1, -1], [1, 1]]]], [[3, 7, 1, 9, 1], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [4, 4], [0, 0]]]], [[3, 9, 1, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2
-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [-4, -4], [1617841/2097152, 1617841/2097152], [-3, -3]]]], [[3, 9, 1, 3, 2]
, [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^
2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [1617841/2097152, 
1617841/2097152], [-471025/262144, -7536399/4194304]]]], [[3, 9, 1, 3, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v
^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [
1617841/2097152, 1617841/2097152], [-3/8388608, -3/8388608]]]], [[3, 9, 1, 3,
4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x <
u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [1617841/2097152, 
1617841/2097152], [1884099/1048576, 471025/262144]]]], [[3, 9, 1, 3, 5], [And(
-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1
, And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-4, -4], [1617841/2097152, 1617841/
2097152], [3, 3]]]], [[4, 1, 1, 6, 1], [v = -1, u < -3^(1/2), x < -u^2, y = -x
, z < 0], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [10, 10], [-1, -1]]
]], [[4, 1, 1, 6, 2], [v = -1, u < -3^(1/2), x < -u^2, y = -x, z = 0], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [10, 10], [0, 0]]]], [[4, 1, 1
, 6, 3], [v = -1, u < -3^(1/2), x < -u^2, y = -x, 0 < z], [regular_chain, [[-1
, -1], [-3, -3], [-10, -10], [10, 10], [1, 1]]]], [[4, 2, 7, 9, 1], [v = -1, u
= -3^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [0, 0]]]], [[4, 7, 1,
3, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(0 < y,y < u^2-x-2), z < -(-x
-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [5/8, 5/8], [-3
, -3]]]], [[4, 7, 1, 3, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(0 < y,y
< u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3,
-3], [5/8, 5/8], [-3231929/2097152, -403991/262144]]]], [[4, 7, 1, 3, 3], [v =
-1, And(-1 < u,u < 0), x < u^2-2, And(0 < y,y < u^2-x-2), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [5/8,
5/8], [0, 0]]]], [[4, 7, 1, 3, 4], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(
0 < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2]
, [-3, -3], [5/8, 5/8], [403991/262144, 1615965/1048576]]]], [[4, 7, 1, 3, 5],
[v = -1, And(-1 < u,u < 0), x < u^2-2, And(0 < y,y < u^2-x-2), (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [5/8, 5/8], [3, 3]]]],
[[4, 8, 9, 4, 1], [v = -1, u = 0, 1 < x, y = -x, z < 0], [regular_chain, [[-1,
-1], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[4, 8, 9, 4, 2], [v = -1, u = 0,
1 < x, y = -x, z = 0], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-2, -2], [0
, 0]]]], [[4, 8, 9, 4, 3], [v = -1, u = 0, 1 < x, y = -x, 0 < z], [
regular_chain, [[-1, -1], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[4, 14, 5, 3,
1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1
/2], [-5/4, -5/4], [-3, -3]]]], [[4, 14, 5, 3, 2], [v = -1, u = 3^(1/2), And(-\
1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192
, -1387135/1048576]]]], [[4, 14, 5, 3, 3], [v = -1, u = 3^(1/2), And(-1 < x,x
< 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/
4, -5/4], [0, 0]]]], [[4, 14, 5, 3, 4], [v = -1, u = 3^(1/2), And(-1 < x,x < 0
), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/
8192]]]], [[4, 14, 5, 3, 5], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(-x-3
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[5, 1, 2, 6, 1], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [35/2, 35/2], [0, 0
]]]], [[5, 5, 1, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [836497/524288, 1672995
/1048576], [-3, -3]]]], [[5, 5, 1, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/
2) < u,u < v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[836497/524288, 1672995/1048576], [-19417/16384, -1242687/1048576]]]], [[5, 5,
1, 4, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y
= -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[836497/524288, 1672995/1048576], [0, 0]]]], [[5, 5, 1, 4, 4], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-3, -3], [836497/524288, 1672995/1048576], [1242687/1048576, 19417/
16384]]]], [[5, 5, 1, 4, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v)
, x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [836497/524288, 
1672995/1048576], [3, 3]]]], [[5, 7, 2, 3, 1], [And(-1 < v,v < 0), And(v < u,u
< -v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z < -(-u^2+v^2-y+1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1/4, 1/4], [-2, -2]]]],
[[5, 7, 2, 3, 2], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(0
< y,y < -2*u^2+2*v^2), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/
2], [0, 0], [-5/4, -5/4], [1/4, 1/4], [-1, -1]]]], [[5, 7, 2, 3, 3], [And(-1 <
v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), And(-
(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -\
1/2], [0, 0], [-5/4, -5/4], [1/4, 1/4], [0, 0]]]], [[5, 7, 2, 3, 4], [And(-1 <
v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = (
-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1/
4, 1/4], [1, 1]]]], [[5, 7, 2, 3, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x
= u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1/4, 1/4], [2, 2]]]], [[5
, 9, 2, 4, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2
-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [
424157/524288, 848315/1048576], [-2, -2]]]], [[5, 9, 2, 4, 2], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-736367/524288, -1472733/1048576], [424157/524288, 848315/1048576],
[-1618333/2097152, -3236665/4194304]]]], [[5, 9, 2, 4, 3], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2
+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [424157
/524288, 848315/1048576], [-1/8388608, -1/8388608]]]], [[5, 9, 2, 4, 4], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-736367/524288, -1472733/1048576], [424157/524288, 848315/
1048576], [404583/524288, 809167/1048576]]]], [[5, 9, 2, 4, 5], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-736367/524288, -1472733/1048576], [424157/524288, 848315/1048576],
[2, 2]]]], [[5, 11, 1, 7, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [
4437325/1048576, 4437325/1048576], [0, 0]]]], [[6, 1, 7, 5, 1], [v = 0, u < -2
^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[0, 0],
[-3, -3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[6, 3, 4, 8, 1], [v = 0, And(-
2^(1/2) < u,u < -1), x = -1, y = u^2, z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [763943/524288, 1527887/1048576]
, [0, 0]]]], [[6, 9, 2, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, And
(u^2+1 < y,y < 2*u^2), z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-2576463/1048576, -1288231/524288], [1408059/524288, 
1408059/524288], [0, 0]]]], [[6, 10, 9, 1, 1], [v = 0, u = 2^(1/2), 1 < x, y <
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [2, 2], [-6, -6], [-3, -3]]]], [[6, 10, 9, 1, 2], [v = 0, u = 2^(1/2
), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [2, 2], [-6, -6], [-2, -2]]]], [[6, 10, 9, 1, 3], [v
= 0, u = 2^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-6, -6], [0
, 0]]]], [[6, 10, 9, 1, 4], [v = 0, u = 2^(1/2), 1 < x, y < -x-3, z = (-x-y)^(
1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2], [-6,
-6], [2, 2]]]], [[6, 10, 9, 1, 5], [v = 0, u = 2^(1/2), 1 < x, y < -x-3, (-x-y
)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [2, 2
], [-6, -6], [3, 3]]]], [[7, 3, 5, 6, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [1/2, 1/2], [-1,
-1]]]], [[7, 3, 5, 6, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[7, 3, 5
, 6, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1
< x,x < 0), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[7, 5, 4, 9, 1], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, 1 < y, z = z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [2
, 2], [0, 0]]]], [[8, 1, 7, 3, 1], [v = 1, u < -3^(1/2), And(0 < x,x < 1), And
(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [1
/2, 1/2], [-5, -5], [-4, -4]]]], [[8, 1, 7, 3, 2], [v = 1, u < -3^(1/2), And(0
< x,x < 1), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1
], [-3, -3], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[8
, 1, 7, 3, 3], [v = 1, u < -3^(1/2), And(0 < x,x < 1), And(-u^2-x < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [
1/2, 1/2], [-5, -5], [0, 0]]]], [[8, 1, 7, 3, 4], [v = 1, u < -3^(1/2), And(0
< x,x < 1), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1]
, [-3, -3], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[8, 1
, 7, 3, 5], [v = 1, u < -3^(1/2), And(0 < x,x < 1), And(-u^2-x < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [-5, -5], [4,
4]]]], [[8, 3, 4, 2, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = -
u^2+1, z < u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[-1, -1], [-1546383/1048576, -773191/524288], [-3, -3]]]], [[8, 3, 4, 2, 2], [
v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = -u^2+1, z = u], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [-\
1546383/1048576, -773191/524288], [-1649549/1048576, -3299097/2097152]]]], [[8
, 3, 4, 2, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = -u^2+1, And
(u < z,z < -u)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304]
, [-1, -1], [-1546383/1048576, -773191/524288], [-1/4194304, -1/4194304]]]], [
[8, 3, 4, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = -u^2+1, z
= -u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1]
, [-1546383/1048576, -773191/524288], [412387/262144, 1649549/1048576]]]], [[8
, 3, 4, 2, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = -u^2+1, -u
< z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1],
[-1546383/1048576, -773191/524288], [3, 3]]]], [[8, 7, 7, 2, 1], [v = 1, And(-\
1 < u,u < 0), And(-u^2 < x,x < 0), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-13/8, -13/8], [-3, -3]]]
], [[8, 7, 7, 2, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = u^2-x
-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8],
[-13/8, -13/8], [-10837/8192, -1387135/1048576]]]], [[8, 7, 7, 2, 3], [v = 1,
And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z
< (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-13/
8, -13/8], [0, 0]]]], [[8, 7, 7, 2, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 <
x,x < 0), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1
/2], [-1/8, -1/8], [-13/8, -13/8], [1387135/1048576, 10837/8192]]]], [[8, 7, 7
, 2, 5], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = u^2-x-2, (-u^2+2)
^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-13/8, -13/
8], [3, 3]]]], [[8, 9, 5, 8, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2
), y = -x, z < 0], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [5/8, 5/
8], [-1, -1]]]], [[8, 9, 5, 8, 2], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u
^2), y = -x, z = 0], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [5/8,
5/8], [0, 0]]]], [[8, 9, 5, 8, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u
^2), y = -x, 0 < z], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [5/8,
5/8], [1, 1]]]], [[8, 15, 1, 9, 1], [v = 1, 3^(1/2) < u, x < -u^2, u^2-x-2 < y
, z = z], [regular_chain, [[1, 1], [3, 3], [-10, -10], [18, 18], [0, 0]]]], [[
9, 1, 7, 8, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1),
y = u^2-v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [1/2, 1/2], [6336433/1048576, 3168217/524288], [0, 0]]]], [[9, 5, 7,
3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-1538813/2097152, -\
1538813/2097152], [-2, -2]]]], [[9, 5, 7, 3, 2], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-1538813/2097152, -1538813/2097152], [-1, -1]]]], [[9, 5, 7, 3, 3],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-558339/2097152, -558339/2097152], [-1538813/2097152, -\
1538813/2097152], [0, 0]]]], [[9, 5, 7, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u
^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-1538813/2097152, -1538813/2097152], [1, 1]]]], [[9, 5, 7, 3, 5], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [-1538813/2097152, -1538813/2097152], [2, 2]
]]], [[9, 7, 7, 7, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [225185/2097152, 225185/
2097152], [-2, -2]]]], [[9, 7, 7, 7, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-225185/1048576, -225185/1048576], [225185/2097152, 225185
/2097152], [-171801/524288, -343601/1048576]]]], [[9, 7, 7, 7, 3], [And(1 < v,
v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [225185/2097152, 225185/2097152], [0, 0]]]],
[[9, 7, 7, 7, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [225185/2097152, 225185/2097152], [343601/
1048576, 171801/524288]]]], [[9, 7, 7, 7, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [225185/
2097152, 225185/2097152], [2, 2]]]], [[9, 9, 6, 3, 1], [And(1 < v,v < 2^(1/2))
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0),
z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[0, 0], [-1288231/1048576, -1288231/1048576], [-3, -3]]]], [[9, 9, 6, 3, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(
u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [-1288231/1048576, -1288231/1048576], [-\
1162243/1048576, -581121/524288]]]], [[9, 9, 6, 3, 3], [And(1 < v,v < 2^(1/2))
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0),
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [-1288231/1048576, -1288231/1048576], [0, 0]
]]], [[9, 9, 6, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^
2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-1288231/1048576, -\
1288231/1048576], [581121/524288, 1162243/1048576]]]], [[9, 9, 6, 3, 5], [And(
1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, And(u^2-
v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [-1288231/1048576, -1288231/1048576], [3, 3]]]], [[9
, 11, 5, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1
< x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
374737/524288, -374737/524288], [-3589227/4194304, -1794613/2097152], [-3, -3]
]]], [[9, 11, 5, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-3589227/4194304, -1794613/
2097152], [-1314069/1048576, -328517/262144]]]], [[9, 11, 5, 2, 3], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u
^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [-3589227/4194304, -1794613/
2097152], [0, 0]]]], [[9, 11, 5, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576,
987341/1048576], [-374737/524288, -374737/524288], [-3589227/4194304, -1794613
/2097152], [328517/262144, 1314069/1048576]]]], [[9, 11, 5, 2, 5], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^
2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[-3589227/4194304, -1794613/2097152], [3, 3]]]], [[9, 15, 8, 2, 1], [And(1 < v
,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2
*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-24808659/8388608, -49617317/16777216], [-3, -3]]]], [[9, 15, 8, 2,
2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2
-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 
250983/524288], [-24808659/8388608, -49617317/16777216], [-3301741/2097152, -\
825435/524288]]]], [[9, 15, 8, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-\
24808659/8388608, -49617317/16777216], [0, 0]]]], [[9, 15, 8, 2, 4], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -\
2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-24808659/8388608, -49617317/16777216], [825435/524288, 1650871/
1048576]]]], [[9, 15, 8, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-24808659/8388608, -49617317/
16777216], [3, 3]]]], [[9, 17, 5, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2
) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-10, -10], [-5,
-5]]]], [[9, 17, 5, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-10, -10], [-3397775/1048576
, -1698887/524288]]]], [[9, 17, 5, 1, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/
2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -\
1/2], [-10, -10], [0, 0]]]], [[9, 17, 5, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-10
, -10], [1698887/524288, 3397775/1048576]]]], [[9, 17, 5, 1, 5], [And(1 < v,v
< 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -\
1/2], [-10, -10], [5, 5]]]], [[10, 5, 6, 4, 1], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x = u^2-3, y = 0, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [0, 0], [-2, -2]]]], [[10, 5, 6, 4, 2], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), x = u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [0, 0], [-379975/524288, -\
1519899/2097152]]]], [[10, 5, 6, 4, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = u^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [0, 0], [-1/4194304, -1/4194304]
]]], [[10, 5, 6, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, y =
0, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [0, 0]
, [759949/1048576, 379975/524288]]]], [[10, 5, 6, 4, 5], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), x = u^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [0, 0], [2, 2]]]], [[10, 7, 7, 1, 1], [v = 2
^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y < u^2-x-3, z < -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -3], [-3, -3]]]], [
[10, 7, 7, 1, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y <
u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-\
3, -3], [-7536399/4194304, -3768199/2097152]]]], [[10, 7, 7, 1, 3], [v = 2^(1/
2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y < u^2-x-3, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -\
3], [-1/4194304, -1/4194304]]]], [[10, 7, 7, 1, 4], [v = 2^(1/2), And(-v < u,u
< -1), And(-u^2+1 < x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-3, -3], [1884099/1048576, 471025/262144]]]
], [[10, 7, 7, 1, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0),
y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/
1048576], [-3, -3], [3, 3]]]], [[10, 11, 6, 3, 1], [v = 2^(1/2), And(0 < u,u <
1), x = 0, And(u^2-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-11/8, -11/8], [-3, -3]]]], [[
10, 11, 6, 3, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 0, And(u^2-3 < y,y < 0),
z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [0, 0], [-11/8, -11/8], [-1229565/1048576, -307391/262144]]]], [[10, 11, 6,
3, 3], [v = 2^(1/2), And(0 < u,u < 1), x = 0, And(u^2-3 < y,y < 0), And(-(-y)^
(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [0, 0], [-11/8, -11/8], [0, 0]]]], [[10, 11, 6, 3, 4], [v = 2^(1/2
), And(0 < u,u < 1), x = 0, And(u^2-3 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-11/8,
-11/8], [307391/262144, 1229565/1048576]]]], [[10, 11, 6, 3, 5], [v = 2^(1/2),
And(0 < u,u < 1), x = 0, And(u^2-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-11/8, -11/8], [3, 3
]]]], [[10, 13, 5, 2, 1], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+
1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-426949/524288, -3415591/4194304], [-3, -3]]]], [[10, 13, 5
, 2, 2], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = u^2-x-3,
z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
426949/524288, -3415591/4194304], [-1302471/1048576, -651235/524288]]]], [[10,
13, 5, 2, 3], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = u^2-
x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [-426949/524288, -3415591/4194304], [0, 0]]]], [[
10, 13, 5, 2, 4], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y =
u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
-426949/524288, -3415591/4194304], [651235/524288, 1302471/1048576]]]], [[10,
13, 5, 2, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = u^2-
x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
426949/524288, -3415591/4194304], [3, 3]]]], [[11, 3, 4, 2, 1], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-\
1, -1], [-1566621/1048576, -391655/262144], [-3, -3]]]], [[11, 3, 4, 2, 2], [2
^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-1655969/1048576, -\
3311937/2097152]]]], [[11, 3, 4, 2, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[-1, -1], [-1566621/1048576, -391655/262144], [-1/4194304, -1/4194304]]]], [[
11, 3, 4, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
-1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [
51749/32768, 1655969/1048576]]]], [[11, 3, 4, 2, 5], [2^(1/2) < v, And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-\
1566621/1048576, -391655/262144], [3, 3]]]], [[11, 5, 3, 1, 1], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-2614535/2097152, -2614535/2097152], [-2, -2], [-3, -3]]]], [[11, 5, 3, 1, 2]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [-3778779/
2097152, -7557557/4194304]]]], [[11, 5, 3, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [-1/8388608, -1/
8388608]]]], [[11, 5, 3, 1, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [-2, -2], [1889389/1048576, 944695/524288]]]], [[11, 5, 3, 1
, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1)
, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [3, 3
]]]], [[11, 9, 5, 6, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 9, 5
, 6, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,
x < 0), y = -x, z = 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369
/8388608], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[11, 9, 5, 6, 3], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = -x, 0 <
z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1
/2], [1/2, 1/2], [1, 1]]]], [[11, 11, 2, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1/
2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < -2*u^2+2*v^2)
, z = z], [regular_chain, [[3, 3], [0, 0], [-10, -10], [14, 14], [0, 0]]]], [[
11, 16, 5, 4, 1], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 
16, 5, 4, 2], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 16,
5, 4, 3], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 18,
5, 6, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [1/2,
1/2], [-1, -1]]]], [[11, 18, 5, 6, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1
< x,x < 0), y = -x, z = 0], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[11, 18, 5, 6, 3], [2^(1/2) <
v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1,
1, 9, 1, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [8, 8],
[-26, -26], [-6, -6]]]], [[1, 1, 9, 1, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2),
And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-5, -5], [8, 8], [-26, -26], [-1112183/262144, -4448731/1048576]
]]], [[1, 1, 9, 1, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^
2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [8, 8], [-26, -26], [0, 0]]]], [[1, 1, 9,
1, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [-26,
-26], [4448731/1048576, 1112183/262144]]]], [[1, 1, 9, 1, 5], [v < -2^(1/2), u
< -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z
], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [-26, -26], [6, 6]]]], [[1, 3,
6, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y
= 0, z < 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[0, 0], [0, 0], [-1, -1]]]], [[1, 3, 6, 4, 2], [v < -2^(1/2), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-3, -3], [
-3396811/1048576, -3396811/1048576], [0, 0], [0, 0], [0, 0]]]], [[1, 3, 6, 4,
3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, 0
< z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0],
[0, 0], [1, 1]]]], [[1, 7, 8, 7, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/
2)), x = 0, 0 < y, z = z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [1, 1], [0, 0]]]], [[1, 9, 8, 1, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z
< -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [533035/1048576, 133259/262144], [-5, -5], [-4, -4]]]], [[1
, 9, 8, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
-u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144],
[-5, -5], [-2222303/1048576, -1111151/524288]]]], [[1, 9, 8, 1, 3], [v < -2^(1
/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v
^2, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/
262144], [-5, -5], [0, 0]]]], [[1, 9, 8, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1
/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v^2-y+1
)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
533035/1048576, 133259/262144], [-5, -5], [1111151/524288, 2222303/1048576]]]]
, [[1, 9, 8, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)),
x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-\
3, -3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144
], [-5, -5], [4, 4]]]], [[1, 14, 9, 2, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1
< x, y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [2, 2], [-4, -4], [-3, -3]]]], [[1, 14, 9, 2, 2], [v < -2^(1
/2), u = (v^2-1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[-3,
-3], [741455/262144, 2965821/1048576], [2, 2], [-4, -4], [-1482911/1048576, -\
741455/524288]]]], [[1, 14, 9, 2, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x,
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [741455/
262144, 2965821/1048576], [2, 2], [-4, -4], [0, 0]]]], [[1, 14, 9, 2, 4], [v <
-2^(1/2), u = (v^2-1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[
-3, -3], [741455/262144, 2965821/1048576], [2, 2], [-4, -4], [741455/524288, 
1482911/1048576]]]], [[1, 14, 9, 2, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 <
x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 2965821/
1048576], [2, 2], [-4, -4], [3, 3]]]], [[1, 17, 1, 3, 1], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -\
3], [197471/262144, 197471/262144], [-3, -3]]]], [[1, 17, 1, 3, 2], [v < -2^(1
/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1
), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-3, -3], [197471/262144, 197471/262144], [-1571713/1048576, -12279/
8192]]]], [[1, 17, 1, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -3], [
197471/262144, 197471/262144], [0, 0]]]], [[1, 17, 1, 3, 4], [v < -2^(1/2), 
And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
3, -3], [197471/262144, 197471/262144], [12279/8192, 1571713/1048576]]]], [[1,
17, 1, 3, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, 
And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-3, -3], [197471/262144, 197471/262144], [3, 3
]]]], [[1, 20, 9, 1, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y < -x-3, z
< -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288]
, [2, 2], [-6, -6], [-3, -3]]]], [[1, 20, 9, 1, 2], [v < -2^(1/2), u = (v^2+2)
^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [2, 2], [-6, -6], [-2, -2]]]], [[1, 20, 9, 1
, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [2, 2], [-6, -6], [0, 0]]]], [[1, 20, 9, 1, 4], [v < -2^(1/2), u = (v
^2+2)^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [2, 2], [-6, -6], [2, 2]]]], [[1, 20, 9, 1,
5], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [-6, -6],
[3, 3]]]], [[2, 1, 6, 2, 1], [v = -2^(1/2), u < -2, x = 0, y = -u^2+1, z < -(u
^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [
0, 0], [-8, -8], [-4, -4]]]], [[2, 1, 6, 2, 2], [v = -2^(1/2), u < -2, x = 0,
y = -u^2+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [0, 0], [-8, -8], [-2965821/1048576, -11863283/4194304]]]],
[[2, 1, 6, 2, 3], [v = -2^(1/2), u < -2, x = 0, y = -u^2+1, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [0, 0], [-8, -8], [-3/8388608, -3/8388608]]]], [[2, 1, 6, 2, 4], [v
= -2^(1/2), u < -2, x = 0, y = -u^2+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-8, -8], [741455/262144,
2965821/1048576]]]], [[2, 1, 6, 2, 5], [v = -2^(1/2), u < -2, x = 0, y = -u^2+
1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3, -3], [0, 0], [-8, -8], [4, 4]]]], [[2, 10, 6, 6, 1], [v = -2^(1/2), u = 0,
x = 0, y = 1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [0, 0], [1, 1], [0, 0]]]], [[2, 12, 5, 1, 1], [v = -2^(1/2), u = 1, And(-1
< x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[2, 12, 5, 1, 2
], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-3,
-3], [-7846825/4194304, -980853/524288]]]], [[2, 12, 5, 1, 3], [v = -2^(1/2),
u = 1, And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2, -1/2], [-3
, -3], [0, 0]]]], [[2, 12, 5, 1, 4], [v = -2^(1/2), u = 1, And(-1 < x,x < 0),
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]],
[[2, 12, 5, 1, 5], [v = -2^(1/2), u = 1, And(-1 < x,x < 0), y < -x-2, (-x-y)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1/2,
-1/2], [-3, -3], [3, 3]]]], [[2, 16, 8, 1, 1], [v = -2^(1/2), u = 3^(1/2), x =
1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[2,
16, 8, 1, 2], [v = -2^(1/2), u = 3^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 16,
8, 1, 3], [v = -2^(1/2), u = 3^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[2,
16, 8, 1, 4], [v = -2^(1/2), u = 3^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[2, 16, 8, 1
, 5], [v = -2^(1/2), u = 3^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1, 1], [-4, -4], [3, 3]]]], [[2, 18, 5, 6, 1], [v = -2^(1/2), u = 2
, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 18, 5, 6,
2], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]
], [[2, 18, 5, 6, 3], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [1/
2, 1/2], [1, 1]]]], [[3, 4, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^
(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0], [-3, -3], [-3, -\
3]]]], [[3, 4, 6, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0,
y < -2, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-410915/262144, -3287319/2097152], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 4, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)
^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [0,
0], [-3, -3], [-1/4194304, -1/4194304]]]], [[3, 4, 6, 1, 4], [And(-2^(1/2) < v
,v < -1), u = -(v^2+1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [0,
0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[3, 4, 6, 1, 5], [And(-2^(
1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [-3, -3], [3, 3]]]], [[3, 6, 5, 4, 1], [And(-2^(1/2)
< v,v < -1), u = v, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [-1/2, -1/2], [-1, -1]]]], [[3, 6, 5, 4, 2], [And(-2^(1/2) < v,v < -1)
, u = v, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1/2, -1
/2], [0, 0]]]], [[3, 6, 5, 4, 3], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,
x < 1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3
, 10, 8, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = -3, z
< -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [1, 1], [-3, -3], [-3, -3]]]], [[3, 10, 8, 2, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[3, 10, 8,
2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = -3, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [1, 1], [-3, -3], [0, 0]]]], [[3, 10, 8, 2, 4]
, [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[3, 10, 8, 2
, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = -3, 2^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [1, 1], [-3, -3], [3, 3]]]], [[3, 12, 7, 3, 1], [And(-2^(1/2)
< v,v < -1), u = -v, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[3, 12, 7, 3, 2], [And(-
2^(1/2) < v,v < -1), u = -v, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-5/2, -5/2], [-1482911/2097152, -741455/1048576]]]]
, [[3, 12, 7, 3, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, And(-1-x < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-5/2,
-5/2], [0, 0]]]], [[3, 12, 7, 3, 4], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x,
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-5/2, -5/2], [
741455/1048576, 46341/65536]]]], [[3, 12, 7, 3, 5], [And(-2^(1/2) < v,v < -1),
u = -v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2]
, [-5/2, -5/2], [2, 2]]]], [[3, 14, 7, 3, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[3, 14, 7, 3, 2], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[3, 
14, 7, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1),
And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [1/
2, 1/2], [-3/2, -3/2], [0, 0]]]], [[3, 14, 7, 3, 4], [And(-2^(1/2) < v,v < -1)
, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[3, 14, 7, 3, 5], [And(-
2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[3, 16,
5, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y <
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[3,
16, 5, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-4, -4], [-1112183/
524288, -2224365/1048576]]]], [[3, 16, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536
, 1949649/1048576], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[3, 16, 5, 1, 4], [And
(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/
524288]]]], [[3, 16, 5, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 
And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1/2, -1/2], [-4
, -4], [4, 4]]]], [[4, 3, 2, 1, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x
= -u^2, y < 0, z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [-1, -1], [-3
, -3]]]], [[4, 3, 2, 1, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2,
y < 0, z = -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-2594959/1048576, -1297479/524288], [-1, -1], [-7818463/
4194304, -3909231/2097152]]]], [[4, 3, 2, 1, 3], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x = -u^2, y < 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-2594959/
1048576, -1297479/524288], [-1, -1], [-1/4194304, -1/4194304]]]], [[4, 3, 2, 1
, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y < 0, z = (u^2-y)^(1
/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-\
2594959/1048576, -1297479/524288], [-1, -1], [1954615/1048576, 244327/131072]]
]], [[4, 3, 2, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y < 0
, (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-2594959/1048576, -1297479/524288], [-1, -1], [3, 3]]]], [[4, 5, 1,
4, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = -u^2-x, z < u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1617841/1048576, 808921/524288], [-3, -3]]]], [[4, 5, 1, 4, 2], [v = -1, And(-
2^(1/2) < u,u < -1), x < -u^2, y = -u^2-x, z = u], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-3, -3], [1617841/1048576, 808921/
524288], [-1265743/1048576, -1265743/1048576]]]], [[4, 5, 1, 4, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), x < -u^2, y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
1617841/1048576, 808921/524288], [0, 0]]]], [[4, 5, 1, 4, 4], [v = -1, And(-2^
(1/2) < u,u < -1), x < -u^2, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [-3, -3], [1617841/1048576, 808921/524288
], [1265743/1048576, 1265743/1048576]]]], [[4, 5, 1, 4, 5], [v = -1, And(-2^(1
/2) < u,u < -1), x < -u^2, y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [1617841/1048576, 808921/524288]
, [3, 3]]]], [[4, 10, 7, 4, 1], [v = -1, u = 1, 1 < x, y = -x, z < 0], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [-2, -2], [-1, -1]]]], [[4, 10, 7, 4
, 2], [v = -1, u = 1, 1 < x, y = -x, z = 0], [regular_chain, [[-1, -1], [1, 1]
, [2, 2], [-2, -2], [0, 0]]]], [[4, 10, 7, 4, 3], [v = -1, u = 1, 1 < x, y = -
x, 0 < z], [regular_chain, [[-1, -1], [1, 1], [2, 2], [-2, -2], [1, 1]]]], [[4
, 12, 8, 5, 1], [v = -1, u = 2^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [-1/2, -1/
2], [0, 0]]]], [[5, 1, 5, 7, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-\
1 < x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/
2], [-3, -3], [-1/2, -1/2], [35/8, 35/8], [0, 0]]]], [[5, 3, 3, 3, 1], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576],
[-767309/2097152, -767309/2097152], [-3, -3]]]], [[5, 3, 3, 3, 2], [And(-1 < v
,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [
-767309/2097152, -767309/2097152], [-1518679/1048576, -759339/524288]]]], [[5,
3, 3, 3, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -767309/
2097152], [0, 0]]]], [[5, 3, 3, 3, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151
/262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -767309/
2097152], [759339/524288, 1518679/1048576]]]], [[5, 3, 3, 3, 5], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [-\
767309/2097152, -767309/2097152], [3, 3]]]], [[5, 12, 7, 1, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-5, -5], [-4, -4]]]], [
[5, 12, 7, 1, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2
], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[5, 12, 7, 1, 3], [And(-\
1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2],
[-5, -5], [0, 0]]]], [[5, 12, 7, 1, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[3/2, 3/2], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[5, 
12, 7, 1, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-\
3, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [
-5, -5], [4, 4]]]], [[6, 1, 4, 4, 1], [v = 0, u < -2^(1/2), x = -1, y = 0, z <
-1], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[6, 1,
4, 4, 2], [v = 0, u < -2^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[0, 0
], [-3, -3], [-1, -1], [0, 0], [-1, -1]]]], [[6, 1, 4, 4, 3], [v = 0, u < -2^(
1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [-3, -3], [-\
1, -1], [0, 0], [0, 0]]]], [[6, 1, 4, 4, 4], [v = 0, u < -2^(1/2), x = -1, y =
0, z = 1], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[6
, 1, 4, 4, 5], [v = 0, u < -2^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[
0, 0], [-3, -3], [-1, -1], [0, 0], [2, 2]]]], [[6, 5, 3, 4, 1], [v = 0, And(-1
< u,u < 0), And(-u^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [
[0, 0], [-1/2, -1/2], [-9/8, -9/8], [0, 0], [-3, -3]]]], [[6, 5, 3, 4, 2], [v
= 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [0, 0], [-1112183/1048576,
-556091/524288]]]], [[6, 5, 3, 4, 3], [v = 0, And(-1 < u,u < 0), And(-u^2-1 <
x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0
], [-1/2, -1/2], [-9/8, -9/8], [0, 0], [0, 0]]]], [[6, 5, 3, 4, 4], [v = 0, 
And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [0, 0], [556091/524288, 
1112183/1048576]]]], [[6, 5, 3, 4, 5], [v = 0, And(-1 < u,u < 0), And(-u^2-1 <
x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/
8, -9/8], [0, 0], [3, 3]]]], [[6, 7, 4, 3, 1], [v = 0, And(0 < u,u < 1), x = -\
1, And(-u^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2]
, [-1, -1], [-1/8, -1/8], [-3, -3]]]], [[6, 7, 4, 3, 2], [v = 0, And(0 < u,u <
1), x = -1, And(-u^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [
1/2, 1/2], [-1, -1], [-1/8, -1/8], [-1112183/1048576, -556091/524288]]]], [[6,
7, 4, 3, 3], [v = 0, And(0 < u,u < 1), x = -1, And(-u^2 < y,y < 0), And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [
-1/8, -1/8], [0, 0]]]], [[6, 7, 4, 3, 4], [v = 0, And(0 < u,u < 1), x = -1, 
And(-u^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-\
1, -1], [-1/8, -1/8], [556091/524288, 1112183/1048576]]]], [[6, 7, 4, 3, 5], [
v = 0, And(0 < u,u < 1), x = -1, And(-u^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-1/8, -1/8], [3, 3]]]], [[7, 1,
5, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v
^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2,
-1/2], [-37/4, -37/4], [-5, -5]]]], [[7, 1, 5, 2, 2], [And(0 < v,v < 1), u < -
(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-37/4, -37/4], [-1637089/
524288, -3274177/1048576]]]], [[7, 1, 5, 2, 3], [And(0 < v,v < 1), u < -(v^2+2
)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-37/
4, -37/4], [0, 0]]]], [[7, 1, 5, 2, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-37/4, -37/4], [3274177/1048576, 1637089/
524288]]]], [[7, 1, 5, 2, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [-3, -3], [-1/2, -1/2], [-37/4, -37/4], [5, 5]]]], [[7, 3, 2, 5, 1], [And(0
< v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(u^
2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-2583195/1048576, -1291597/524288], [5652431/2097152
, 5652431/2097152], [0, 0]]]], [[7, 7, 5, 1, 1], [And(0 < v,v < 1), And(-v < u
,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-2, -2], [-3, -3]]]], [[7,
7, 5, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1),
y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/
8, -7/8], [-2, -2], [-3555895/2097152, -1777947/1048576]]]], [[7, 7, 5, 1, 3],
[And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-
x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0
, 0], [-7/8, -7/8], [-2, -2], [0, 0]]]], [[7, 7, 5, 1, 4], [And(0 < v,v < 1),
And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-2, -2], [1777947/
1048576, 444487/262144]]]], [[7, 7, 5, 1, 5], [And(0 < v,v < 1), And(-v < u,u
< v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-2, -2], [3, 3]]]], [[7, 9,
5, 9, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-
v^2-1), -x < y, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631
/2097152], [-1672995/2097152, -1672995/2097152], [2, 2], [0, 0]]]], [[7, 11, 4
, 6, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
y = 1, z < 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-\
1, -1], [1, 1], [-1, -1]]]], [[7, 11, 4, 6, 2], [And(0 < v,v < 1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[1/2, 1
/2], [343151/262144, 343151/262144], [-1, -1], [1, 1], [0, 0]]]], [[7, 11, 4,
6, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y
= 1, 0 < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1,
-1], [1, 1], [1, 1]]]], [[7, 13, 1, 5, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) <
u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [49/8, 49/8], [-4, -4]]]], [[7
, 13, 1, 5, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2
+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[-11, -11], [49/8, 49/8], [-1157597/524288, -2315193/1048576]]]], [[7, 13, 1,
5, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2,
1/2], [3, 3], [-11, -11], [49/8, 49/8], [0, 0]]]], [[7, 13, 1, 5, 4], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [49/8, 49/8],
[2315193/1048576, 1157597/524288]]]], [[7, 13, 1, 5, 5], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [49/8, 49/8], [4, 4]]]],
[[8, 3, 7, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2)
, And(0 < y,y < u^2-x-2), z = z], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [248903/1048576, 248903/1048576], [248903/2097152, 248903/
2097152], [0, 0]]]], [[8, 5, 6, 4, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = u
^2-2, y = 0, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0], [-2, -2]]]], [
[8, 5, 6, 4, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = 0, z = -(-u^
2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1138531/2097152, -569265/1048576], [0, 0], [-772605/1048576, -1545209/2097152]
]]], [[8, 5, 6, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = 0, And
(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0], [-1/
4194304, -1/4194304]]]], [[8, 5, 6, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), x
= u^2-2, y = 0, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0], [
193151/262144, 772605/1048576]]]], [[8, 5, 6, 4, 5], [v = 1, And(-2^(1/2) < u,
u < -1), x = u^2-2, y = 0, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0
], [2, 2]]]], [[8, 11, 6, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, 
And(-2*u^2+2 < y,y < 0), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
7668971/16777216, -7668971/16777216], [-2, -2]]]], [[8, 11, 6, 3, 2], [v = 1,
And(1 < u,u < 2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < 0), z = -(-u^2-y+2)^(1
/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [-7668971/16777216, -7668971/16777216], [-\
2199023224735/2199023255552, -70368743191519/70368744177664]]]], [[8, 11, 6, 3
, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < 0), And(
-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
7668971/16777216, -7668971/16777216], [-66122719/140737488355328, -66122719/
140737488355328]]]], [[8, 11, 6, 3, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = u^
2-2, And(-2*u^2+2 < y,y < 0), z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
7668971/16777216, -7668971/16777216], [1048575/1048576, 1]]]], [[8, 11, 6, 3,
5], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < 0), (-u^2-
y+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[-1138531/2097152, -569265/1048576], [-7668971/16777216, -7668971/16777216], [
2, 2]]]], [[8, 13, 5, 2, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,
x < 0), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1/2, -1/2], [-16565357/8388608, -66261427/33554432], [-3,
-3]]]], [[8, 13, 5, 2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x
< 0), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-1/2, -1/2], [-16565357/8388608, -66261427/33554432], [-3299097/
2097152, -3299097/2097152]]]], [[8, 13, 5, 2, 3], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), And(-1 < x,x < 0), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-16565357/8388608,
-66261427/33554432], [-1/4194304, -1/4194304]]]], [[8, 13, 5, 2, 4], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-\
16565357/8388608, -66261427/33554432], [412387/262144, 1649549/1048576]]]], [[
8, 13, 5, 2, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y =
-u^2-x, u < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
-1/2, -1/2], [-16565357/8388608, -66261427/33554432], [3, 3]]]], [[9, 1, 11, 4
, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [-8
, -8], [-1, -1]]]], [[9, 1, 11, 4, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(
1/2), u^2-v^2-1 < x, y = -x, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [8, 8], [-8, -8], [0, 0]]]], [[9, 1, 11, 4, 3], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [-8, -8]
, [1, 1]]]], [[9, 3, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z <
-(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
57648787/33554432, -57648787/33554432], [-3, -3]]]], [[9, 3, 8, 3, 2], [And(1
< v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 
And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-57648787/33554432, -\
57648787/33554432], [-583671/524288, -1167341/1048576]]]], [[9, 3, 8, 3, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^
2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (
-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [501965/1048576, 250983/524288], [-\
57648787/33554432, -57648787/33554432], [0, 0]]]], [[9, 3, 8, 3, 4], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And
(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [-57648787/33554432, -57648787/33554432], [
1167341/1048576, 583671/524288]]]], [[9, 3, 8, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 <
y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [501965/
1048576, 250983/524288], [-57648787/33554432, -57648787/33554432], [3, 3]]]],
[[9, 13, 5, 7, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(
-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3213833/4194304, -3213833/4194304], [1048577/2097152, 1048577/
2097152], [-2, -2]]]], [[9, 13, 5, 7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [1048577/
2097152, 1048577/2097152], [-270523/524288, -1082091/2097152]]]], [[9, 13, 5,
7, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u
^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [1048577/2097152, 
1048577/2097152], [-1/4194304, -1/4194304]]]], [[9, 13, 5, 7, 4], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v
^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [1048577/2097152, 1048577/2097152], [541045/1048576, 270523/
524288]]]], [[9, 13, 5, 7, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^
(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [1048577/2097152, 
1048577/2097152], [2, 2]]]], [[9, 15, 4, 6, 1], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [
1, 1], [-1, -1]]]], [[9, 15, 4, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1
/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [1, 1], [
0, 0]]]], [[9, 15, 4, 6, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [1, 1], [1, 1]]]],
[[10, 1, 10, 6, 1], [v = 2^(1/2), u < -2, x = u^2-3, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [6, 6], [0, 0], [0
, 0]]]], [[10, 3, 7, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,
x < u^2-3), And(0 < y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467/2097152, 
505467/2097152], [252733/2097152, 252733/2097152], [0, 0]]]], [[10, 9, 5, 8, 1
], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = -u^2-x+1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2],
[5/4, 5/4], [0, 0]]]], [[10, 11, 2, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), x =
u^2-3, -2*u^2+4 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [1/2, 1/2], [-11/4, -11/4], [5, 5], [0, 0]]]], [[10, 15, 5, 5, 1], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z
< -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [124451/
1048576, 124451/1048576], [-2, -2]]]], [[10, 15, 5, 5, 2], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3198693/4194304, -3198693/4194304], [124451/1048576, 
124451/1048576], [-1682881/2097152, -3365761/4194304]]]], [[10, 15, 5, 5, 3],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(0 < y,y < u^2
-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [124451/1048576, 124451/1048576], [-1/8388608, -1/
8388608]]]], [[10, 15, 5, 5, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1
< x,x < u^2-3), And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693
/4194304, -3198693/4194304], [124451/1048576, 124451/1048576], [26295/32768, 
841441/1048576]]]], [[10, 15, 5, 5, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [124451/1048576, 124451/
1048576], [2, 2]]]], [[10, 17, 4, 4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[10, 17, 4,
4, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = 0, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [0, 0], [-1, -1]]]], [[10, 17, 4, 4, 3], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1],
[0, 0], [0, 0]]]], [[10, 17, 4, 4, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x
= -1, y = 0, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-1, -1], [0, 0], [1, 1]]]], [[10, 17, 4, 4
, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = 0, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [0, 0], [2, 2]]]], [[10, 19, 1, 3, 1], [v = 2^(1/2), 2 < u
, x < -u^2+1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9, -9], [1/2, 1/2], [-4, -4]]]], [[
10, 19, 1, 3, 2], [v = 2^(1/2), 2 < u, x < -u^2+1, And(0 < y,y < -u^2-x+1), z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
-9, -9], [1/2, 1/2], [-24456785/8388608, -1528549/524288]]]], [[10, 19, 1, 3,
3], [v = 2^(1/2), 2 < u, x < -u^2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [-9, -9], [1/2, 1/2], [0, 0]]]], [[10, 19, 1, 3, 4], [v = 2^(1/2), 2 <
u, x < -u^2+1, And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9, -9], [1/2, 1/2], [1528549/524288
, 3057099/1048576]]]], [[10, 19, 1, 3, 5], [v = 2^(1/2), 2 < u, x < -u^2+1, 
And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-9, -9], [1/2, 1/2], [4, 4]]]], [[11, 1, 7, 2, 1],
[2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-35/2, -35/2]
, [-6, -6]]]], [[11, 1, 7, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,
x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
5, -5], [1/2, 1/2], [-35/2, -35/2], [-2161695/524288, -4323389/1048576]]]], [[
11, 1, 7, 2, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+
v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [
[3, 3], [-5, -5], [1/2, 1/2], [-35/2, -35/2], [0, 0]]]], [[11, 1, 7, 2, 4], [2
^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-35/2, -35/2], [
4323389/1048576, 2161695/524288]]]], [[11, 1, 7, 2, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-35/2, -35/2], [6, 6]]]], [[11,
5, 6, 4, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y =
0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851
/131072], [-531193/1048576, -1062385/2097152], [0, 0], [-2, -2]]]], [[11, 5, 6
, 4, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-531193/1048576, -1062385/2097152], [0, 0], [-373161/524288, -\
1492643/2097152]]]], [[11, 5, 6, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2
))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 5, 6, 4
, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-531193/1048576, -1062385/2097152], [0, 0], [746321/1048576, 373161/524288]
]]], [[11, 5, 6, 4, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-
v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [0, 0], [2, 2]]]
], [[11, 7, 7, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v
^2-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-3,
-3], [-3, -3]]]], [[11, 7, 7, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/
2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-3, -3], [-1889277/1048576, -7557107/4194304]]]], [[11, 7
, 7, 1, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-3, -3], [-3/8388608, -3/8388608]]]], [[11, 7, 7, 1, 4],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u
^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [-3, -3], [472319/262144
, 1889277/1048576]]]], [[11, 7, 7, 1, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1
)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-3, -3], [3, 3]]]], [[11, 12, 8, 4, 1], [2^(1/2) < v, u =
(v^2-2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [1, 1], [-1, -1], [-1, -1]]]], [[11, 12, 8, 4, 2], [2^(1
/2) < v, u = (v^2-2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [1, 1], [-1, -1], [0, 0]]]], [[11, 12, 8, 4, 3],
[2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3
], [2774271/1048576, 10837/4096], [1, 1], [-1, -1], [1, 1]]]], [[11, 14, 6, 4,
1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [0, 0], [0, 0], [-1, -1]]]], [[11, 14,
6, 4, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0], [0, 0], [0,
0]]]], [[11, 14, 6, 4, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 0, y = 0, 0 <
z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [0, 0], [0, 0],
[1, 1]]]], [[11, 19, 1, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [1579107
/2097152, 1579107/2097152], [-3, -3]]]], [[11, 19, 1, 3, 2], [2^(1/2) < v, And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-
x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-4, -4], [1579107/2097152, 1579107/2097152], [-3778963/2097152, -\
7557925/4194304]]]], [[11, 19, 1, 3, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-4, -4], [1579107/2097152, 1579107/2097152], [-1/8388608, -1/
8388608]]]], [[11, 19, 1, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [1579107
/2097152, 1579107/2097152], [1889481/1048576, 944741/524288]]]], [[11, 19, 1,
3, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1,
And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [1579107/2097152, 1579107/2097152
], [3, 3]]]], [[11, 20, 7, 2, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x
< 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[11, 20, 7, 2, 2], [2
^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-7/2,
-7/2], [-1816187/1048576, -3632373/2097152]]]], [[11, 20, 7, 2, 3], [2^(1/2) <
v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2)
)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-\
7/2, -7/2], [-1/4194304, -1/4194304]]]], [[11, 20, 7, 2, 4], [2^(1/2) < v, u =
(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-7/2, -7/2], [908093/
524288, 1816187/1048576]]]], [[11, 20, 7, 2, 5], [2^(1/2) < v, u = (v^2+2)^(1/
2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[1, 5,
4, 8, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 1, z < 0],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [1, 1],
[-1, -1]]]], [[1, 5, 4, 8, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
= -1, y = 1, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1, -1], [1, 1], [0, 0]]]], [[1, 5, 4, 8, 3], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1, -1], [1, 1], [1, 1]]]], [[1, 7, 5, 7, 1],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(
-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [1048577
/2097152, 1048577/2097152], [-2, -2]]]], [[1, 7, 5, 7, 2], [v < -2^(1/2), And(
v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [1048577/2097152, 1048577/
2097152], [-16263/32768, -520415/1048576]]]], [[1, 7, 5, 7, 3], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3]
, [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [
1048577/2097152, 1048577/2097152], [0, 0]]]], [[1, 7, 5, 7, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [1048577/2097152, 1048577/
2097152], [520415/1048576, 16263/32768]]]], [[1, 7, 5, 7, 5], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [1048577/2097152, 1048577/
2097152], [2, 2]]]], [[1, 11, 4, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[1, 11,
4, 5, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, 
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1, -\
1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 11, 4, 5, 3], [v
< -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(0 < y,y < 1
), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [0, 0],
[-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 11, 4, 5, 4], [v < -2^(1/2), And(-(v^2-2
)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-1, -1], [1/2, 1/2], [741455/1048576, 46341
/65536]]]], [[1, 11, 4, 5, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-\
2)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -\
3], [0, 0], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 13, 1, 8, 1], [v < -2^(1/2),
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z =
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [
1181835/262144, 4727341/1048576], [0, 0]]]], [[1, 18, 8, 3, 1], [v < -2^(1/2),
u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [-2, -2], [
-2, -2]]]], [[1, 18, 8, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, And(-3
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [1, 1], [-2, -2], [-1, -1]]]], [[1, 18, 8, 3, 3], [v < -2^(1
/2), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (
-y-1)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1,
1], [-2, -2], [0, 0]]]], [[1, 18, 8, 3, 4], [v < -2^(1/2), u = (v^2+1)^(1/2),
x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [1, 1], [-2, -2], [1, 1]]]], [[1, 18, 8, 3, 5]
, [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) <
z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [-2, -\
2], [2, 2]]]], [[1, 20, 5, 8, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x
,x < 0), y = 1-x, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867
/524288], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[2, 3, 2, 6, 1], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = 2*u^2-4, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-\
650655/262144, -2602619/1048576], [1554043/524288, 3108087/1048576], [0, 0]]]]
, [[2, 5, 1, 9, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, -x < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [4, 4], [0, 0]]]], [[2, 7, 2, 1, 1], [v
= -2^(1/2), And(v < u,u < -1), x = u^2-3, y < 0, z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [-3, -3]]]],
[[2, 7, 2, 1, 2], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, y < 0, z = -(-u
^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [
-1672107/1048576, -3344213/2097152]]]], [[2, 7, 2, 1, 3], [v = -2^(1/2), And(v
< u,u < -1), x = u^2-3, y < 0, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [-1/4194304,
-1/4194304]]]], [[2, 7, 2, 1, 4], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3,
y < 0, z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/
1048576], [-1, -1], [836053/524288, 1672107/1048576]]]], [[2, 7, 2, 1, 5], [v
= -2^(1/2), And(v < u,u < -1), x = u^2-3, y < 0, (-u^2-y+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [3, 3]]]], [
[2, 9, 1, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = u^2-x-3, z <
-(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2,
-1/2], [-4, -4], [5/4, 5/4], [-3, -3]]]], [[2, 9, 1, 4, 2], [v = -2^(1/2), And
(-1 < u,u < 0), x < u^2-3, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [5/4, 5/4], [-\
1738867/1048576, -3477733/2097152]]]], [[2, 9, 1, 4, 3], [v = -2^(1/2), And(-1
< u,u < 0), x < u^2-3, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4
], [5/4, 5/4], [-1/4194304, -1/4194304]]]], [[2, 9, 1, 4, 4], [v = -2^(1/2), 
And(-1 < u,u < 0), x < u^2-3, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [5/4, 5/4], [
869433/524288, 1738867/1048576]]]], [[2, 9, 1, 4, 5], [v = -2^(1/2), And(-1 <
u,u < 0), x < u^2-3, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [5/4, 5/4], [3, 3]]]
], [[2, 12, 8, 7, 1], [v = -2^(1/2), u = 1, x = 1, 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [1, 1], [1, 1], [0
, 0]]]], [[2, 15, 1, 1, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1
, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3, -3], [-1, -1], [-3, -3]]]],
[[2, 15, 1, 1, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y < 0,
z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [-1, -1], [-2, -2]]]], [[2, 15, 1
, 1, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y < 0, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[
2, 15, 1, 1, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y < 0, z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [-3, -3], [-1, -1], [2, 2]]]], [[2, 15, 1, 1, 5],
[v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[3, 1, 2, 2, 1], [And(-2^(1/2) < v,
v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [0, 0], [-4, -4]]]], [[3, 1, 2, 2, 2], [And(-2^(1/2
) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
4478937/524288, -8957873/1048576], [0, 0], [-1532401/524288, -24518415/8388608
]]]], [[3, 1, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^
2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [0, 0], [-7/16777216, -7/16777216]]]], [[3, 1, 2, 2
, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [-4478937/524288, -8957873/1048576], [0, 0], [3064801/1048576, 
1532401/524288]]]], [[3, 1, 2, 2, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^
(1/2), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [0, 0], [4, 4]]]], [[3, 2, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-1/
2, -1/2], [0, 0]]]], [[3, 7, 1, 8, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [3
, 3], [-1, -1]]]], [[3, 7, 1, 8, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [3
, 3], [0, 0]]]], [[3, 7, 1, 8, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(
v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [3
, 3], [1, 1]]]], [[3, 9, 1, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/
2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [0, 0]
, [-3, -3]]]], [[3, 9, 1, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [0, 0], [-2, -2]]]]
, [[3, 9, 1, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2
-1)^(1/2)), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [0, 0]
, [0, 0]]]], [[3, 9, 1, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [0, 0], [2, 2]]]], [[3
, 9, 1, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-4, -4], [0, 0], [3, 3]]]], [[4, 1, 1, 5,
1], [v = -1, u < -3^(1/2), x < -u^2, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [11/2, 11/2], [-4, -4]]]],
[[4, 1, 1, 5, 2], [v = -1, u < -3^(1/2), x < -u^2, And(-u^2-x < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [11/2, 11/2],
[-1112183/524288, -2224365/1048576]]]], [[4, 1, 1, 5, 3], [v = -1, u < -3^(1/2
), x < -u^2, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1, -1], [-3, -3], [-10, -10], [11/2, 11/2], [0, 0]]]], [[4,
1, 1, 5, 4], [v = -1, u < -3^(1/2), x < -u^2, And(-u^2-x < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [11/2, 11/2], [
2224365/1048576, 1112183/524288]]]], [[4, 1, 1, 5, 5], [v = -1, u < -3^(1/2),
x < -u^2, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1]
, [-3, -3], [-10, -10], [11/2, 11/2], [4, 4]]]], [[4, 2, 7, 8, 1], [v = -1, u
= -3^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[4, 7,
1, 4, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = u^2-x-2, z < -(-u^2+2)^(1
/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [5/4, 5/4], [-3, -3]]
]], [[4, 7, 1, 4, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = u^2-x-2, z =
-(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [5/4, 5/4
], [-10837/8192, -1387135/1048576]]]], [[4, 7, 1, 4, 3], [v = -1, And(-1 < u,u
< 0), x < u^2-2, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [5/4, 5/4], [0, 0]]]], [[4,
7, 1, 4, 4], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = u^2-x-2, z = (-u^2+2)^
(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [5/4, 5/4], [
1387135/1048576, 10837/8192]]]], [[4, 7, 1, 4, 5], [v = -1, And(-1 < u,u < 0),
x < u^2-2, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2,
-1/2], [-3, -3], [5/4, 5/4], [3, 3]]]], [[4, 8, 9, 5, 1], [v = -1, u = 0, 1 <
x, And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-1,
-1], [0, 0]]]], [[4, 14, 5, 2, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y
= -x-3, z < -3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[4, 14, 5, 2, 2], [v = -1,
u = 3^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1816187/
1048576, -3632373/2097152]]]], [[4, 14, 5, 2, 3], [v = -1, u = 3^(1/2), And(-1
< x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -1
], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304,
-1/4194304]]]], [[4, 14, 5, 2, 4], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y
= -x-3, z = 3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[4
, 14, 5, 2, 5], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2],
[-5/2, -5/2], [3, 3]]]], [[5, 1, 2, 5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1
/2), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [109/8, 109/8], [0, 0]
]]], [[5, 5, 1, 5, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[2, 2], [-2, -2]]]], [[5, 5, 1, 5, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152],
[-3, -3], [2, 2], [-1, -1]]]], [[5, 5, 1, 5, 3], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [2, 2], [0, 0]]]], [[5, 5, 1, 5,
4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(-u^
2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2, 2], [1, 1]]]], [[5, 5,
1, 5, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1
/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2, 2], [2, 2]]]],
[[5, 7, 2, 4, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, y = -2
*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-\
5/4, -5/4], [1/2, 1/2], [-2, -2]]]], [[5, 7, 2, 4, 2], [And(-1 < v,v < 0), And
(v < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1/2, 1/2], [-1816187/
2097152, -3632373/4194304]]]], [[5, 7, 2, 4, 3], [And(-1 < v,v < 0), And(v < u
,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2
-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1/2, 1/
2], [-1/8388608, -1/8388608]]]], [[5, 7, 2, 4, 4], [And(-1 < v,v < 0), And(v <
u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1/2, 1/2], [908093/
1048576, 454047/524288]]]], [[5, 7, 2, 4, 5], [And(-1 < v,v < 0), And(v < u,u
< -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [1/2, 1/2], [2, 2]]]], [[5, 9, 2, 3, 1]
, [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y
,y < 2*u^2-2*v^2), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [424157
/1048576, 424157/1048576], [-3, -3]]]], [[5, 9, 2, 3, 2], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z =
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-736367/524288, -1472733/1048576], [424157/1048576, 424157/
1048576], [-1048577/1048576, -1]]]], [[5, 9, 2, 3, 3], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), And(-(
u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2
], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [
424157/1048576, 424157/1048576], [0, 0]]]], [[5, 9, 2, 3, 4], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2),
z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-736367/524288, -1472733/1048576], [424157/1048576, 424157/
1048576], [1, 1048577/1048576]]]], [[5, 9, 2, 3, 5], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2
-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-736367/524288, -1472733/1048576], [424157/1048576, 424157/1048576]
, [3, 3]]]], [[5, 11, 1, 6, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [-4, -4], [4, 4], [-1, -1]]]], [[5, 11, 1, 6,
2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2
-1, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-4, -4], [4, 4], [0, 0]]]], [[5, 11, 1, 6, 3], [And(-1 < v,v < 0), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [4, 4]
, [1, 1]]]], [[6, 1, 7, 6, 1], [v = 0, u < -2^(1/2), And(0 < x,x < 1), y = 0,
z = z], [regular_chain, [[0, 0], [-3, -3], [1/2, 1/2], [0, 0], [0, 0]]]], [[6,
3, 4, 9, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, u^2 < y, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [3, 3]
, [0, 0]]]], [[6, 9, 2, 4, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, y =
u^2+1, z < 0], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
2576463/1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [-1, -1]
]]], [[6, 9, 2, 4, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, y = u^2+1,
z = 0], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-2576463
/1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [0, 0]]]], [[6,
9, 2, 4, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, y = u^2+1, 0 < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-2576463/1048576,
-1288231/524288], [1288231/524288, 2576463/1048576], [1, 1]]]], [[6, 10, 8, 7,
1], [v = 0, u = 2^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [1, 1], [1, 1], [0, 0]]]], [[7, 3, 5, 7, 1],
[And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [-343151
/262144, -343151/262144], [-1/2, -1/2], [767309/1048576, 767309/1048576], [0,
0]]]], [[7, 5, 5, 1, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 
And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-2, -2], [-3, -3]]]], [[7, 5, 5, 1, 2], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+
v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2, -2], [-1753897/
1048576, -3507793/2097152]]]], [[7, 5, 5, 1, 3], [And(0 < v,v < 1), And(-(v^2+
1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2, -2], [-1/4194304
, -1/4194304]]]], [[7, 5, 5, 1, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-2, -2], [219237/131072, 1753897/1048576]]]], [[7
, 5, 5, 1, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x
< u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152],
[-2, -2], [3, 3]]]], [[8, 1, 7, 4, 1], [v = 1, u < -3^(1/2), And(0 < x,x < 1),
y = -x, z < 0], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [
-1, -1]]]], [[8, 1, 7, 4, 2], [v = 1, u < -3^(1/2), And(0 < x,x < 1), y = -x,
z = 0], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[8, 1, 7, 4, 3], [v = 1, u < -3^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8, 3,
4, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 < y,y < 0
), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-773191/1048576, -773191/1048576], [-3, -3]]]], [[8, 3, 4
, 3, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 < y,y < 0)
, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-773191/1048576, -773191/1048576], [-691061/524288, -\
1382121/1048576]]]], [[8, 3, 4, 3, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [-\
773191/1048576, -773191/1048576], [0, 0]]]], [[8, 3, 4, 3, 4], [v = 1, And(-3^
(1/2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [-\
773191/1048576, -773191/1048576], [1382121/1048576, 691061/524288]]]], [[8, 3,
4, 3, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 < y,y < 0
), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-773191/1048576, -773191/1048576], [3, 3]]]], [[8, 7, 7,
1, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y < u^2-x-2, z < -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-3, -3], [-3,
-3]]]], [[8, 7, 7, 1, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y <
u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/
8], [-3, -3], [-7414553/4194304, -926819/524288]]]], [[8, 7, 7, 1, 3], [v = 1,
And(-1 < u,u < 0), And(-u^2 < x,x < 0), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-3, -3],
[0, 0]]]], [[8, 7, 7, 1, 4], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y
< u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1
/8], [-3, -3], [926819/524288, 1853639/1048576]]]], [[8, 7, 7, 1, 5], [v = 1,
And(-1 < u,u < 0), And(-u^2 < x,x < 0), y < u^2-x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [-3, -3], [3, 3]]]], [[8,
9, 5, 7, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(-u^2-x < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8],
[1/2, 1/2], [-2, -2]]]], [[8, 9, 5, 7, 2], [v = 1, And(0 < u,u < 1), And(-1 <
x,x < -u^2), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-5/8, -5/8], [1/2, 1/2], [-46341/131072, -370727/1048576]]]],
[[8, 9, 5, 7, 3], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), And(-u^2-x <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[1/2, 1/2], [-5/8, -5/8], [1/2, 1/2], [0, 0]]]], [[8, 9, 5, 7, 4], [v = 1, And
(0 < u,u < 1), And(-1 < x,x < -u^2), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [1/2, 1/2], [370727/
1048576, 46341/131072]]]], [[8, 9, 5, 7, 5], [v = 1, And(0 < u,u < 1), And(-1
< x,x < -u^2), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1,
1], [1/2, 1/2], [-5/8, -5/8], [1/2, 1/2], [2, 2]]]], [[8, 15, 2, 1, 1], [v = 1
, 3^(1/2) < u, x = -u^2, y < 0, z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1],
[3, 3], [-9, -9], [-1, -1], [-5, -5]]]], [[8, 15, 2, 1, 2], [v = 1, 3^(1/2) <
u, x = -u^2, y < 0, z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-9,
-9], [-1, -1], [-3315889/1048576, -207243/65536]]]], [[8, 15, 2, 1, 3], [v = 1
, 3^(1/2) < u, x = -u^2, y < 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [-1, -1], [0, 0]]]], [[8, 15, 2, 1,
4], [v = 1, 3^(1/2) < u, x = -u^2, y < 0, z = (u^2-y)^(1/2)], [regular_chain,
[[1, 1], [3, 3], [-9, -9], [-1, -1], [207243/65536, 3315889/1048576]]]], [[8,
15, 2, 1, 5], [v = 1, 3^(1/2) < u, x = -u^2, y < 0, (u^2-y)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [-9, -9], [-1, -1], [5, 5]]]], [[9, 1, 7, 9, 1
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2-x-1
< y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1
/2, 1/2], [8, 8], [0, 0]]]], [[9, 5, 7, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^
2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-\
314911/262144, -1259643/1048576], [-3, -3]]]], [[9, 5, 7, 2, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2
+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-314911/262144, -1259643/1048576], [-1270261/1048576, -317565/
262144]]]], [[9, 5, 7, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,
u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-\
314911/262144, -1259643/1048576], [0, 0]]]], [[9, 5, 7, 2, 4], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v
^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-314911/262144, -1259643/1048576], [317565/262144, 1270261/1048576]
]]], [[9, 5, 7, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v)
, And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [-314911/262144, -\
1259643/1048576], [3, 3]]]], [[9, 7, 7, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [0, 0], [-2, -2]]]], [[9
, 7, 7, 6, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u
^2+v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [0, 0], [-242963/524288, -485925/1048576]]]], [[9,
7, 7, 6, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2
+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-225185/1048576, -225185/1048576], [0, 0], [0, 0]]]], [[9, 7, 7, 6, 4], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y
= 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [0, 0]
, [485925/1048576, 242963/524288]]]], [[9, 7, 7, 6, 5], [And(1 < v,v < 2^(1/2)
), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = 0, (-x)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-225185/1048576, -225185/1048576], [0, 0], [2, 2]]]], [[
9, 9, 6, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1
/2)), x = 0, y = 0, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [0, 0], [0, 0], [-1, -1]]]], [[9, 9, 6, 4, 2], [And(1 < v,v < 2^(1/
2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = 0, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [0, 0], [0
, 0]]]], [[9, 9, 6, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [0, 0], [1, 1]]]], [[9, 11, 5, 3, 1], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), 
And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [-1794613/4194304, -1794613/4194304], [-3, -3]]]], [[9, 11, 5
, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x <
-u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [-1794613/4194304, -1794613/4194304], [-1120861/
1048576, -280215/262144]]]], [[9, 11, 5, 3, 3], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737
/524288], [-1794613/4194304, -1794613/4194304], [0, 0]]]], [[9, 11, 5, 3, 4],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2
-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288,
-374737/524288], [-1794613/4194304, -1794613/4194304], [280215/262144, 1120861
/1048576]]]], [[9, 11, 5, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-374737/524288, -374737/524288], [-1794613/4194304, -1794613
/4194304], [3, 3]]]], [[9, 15, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [501965/1048576, 250983/524288], [-4, -4], [-3, -3]]]]
, [[9, 15, 8, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-4, -4], [-15741305/8388608, -\
1967663/1048576]]]], [[9, 15, 8, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y
+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-4, -4], [0, 0]]]], [[9, 15, 8, 1, 4], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u
^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-4, -4], [
1967663/1048576, 122979/65536]]]], [[9, 15, 8, 1, 5], [And(1 < v,v < 2^(1/2)),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u
^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-4, -4], [3,
3]]]], [[9, 17, 4, 9, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -1,
u^2-v^2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [-1, -1], [9, 9], [0, 0]]]], [[10, 5, 6, 5, 1], [v = 2^(1/2), And(-3^(1/2)
< u,u < -v), x = u^2-3, And(0 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [550769/2097152, 550769/2097152]
, [-2, -2]]]], [[10, 5, 6, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
u^2-3, And(0 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [550769/2097152, 550769/2097152], [-1074733/2097152
, -268683/524288]]]], [[10, 5, 6, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), x = u^2-3, And(0 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-275385/524288, -1101539/2097152], [550769/2097152, 550769
/2097152], [0, 0]]]], [[10, 5, 6, 5, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), x = u^2-3, And(0 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [550769/2097152, 550769/2097152], [268683/
524288, 537367/1048576]]]], [[10, 5, 6, 5, 5], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), x = u^2-3, And(0 < y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-275385/524288, -1101539/2097152], [550769/2097152, 550769/2097152]
, [2, 2]]]], [[10, 7, 7, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 <
x,x < 0), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [-1378187/1048576, -689093/524288], [-3, -3]]]], [[10, 7, 7,
2, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^2-x-3, z
= -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-\
1378187/1048576, -689093/524288], [-1302471/1048576, -651235/524288]]]], [[10,
7, 7, 2, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^2-
x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [-1378187/1048576, -689093/524288], [0, 0]]]], [[10
, 7, 7, 2, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^
2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-\
1378187/1048576, -689093/524288], [651235/524288, 1302471/1048576]]]], [[10, 7
, 7, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^2-x
-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-\
1378187/1048576, -689093/524288], [3, 3]]]], [[10, 11, 6, 2, 1], [v = 2^(1/2),
And(0 < u,u < 1), x = 0, y = u^2-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-11/4, -11/4], [-3, -3]]
]], [[10, 11, 6, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y = u^2-3, z =
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [0, 0], [-11/4, -11/4], [-1738867/1048576, -3477733/2097152]]]], [[10, 11,
6, 2, 3], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2
) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [0, 0], [-11/4, -11/4], [-1/4194304, -1/4194304]]]], [[10, 11, 6,
2, 4], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y = u^2-3, z = (-u^2+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-11/4,
-11/4], [869433/524288, 1738867/1048576]]]], [[10, 11, 6, 2, 5], [v = 2^(1/2),
And(0 < u,u < 1), x = 0, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-11/4, -11/4], [3, 3]]]]
, [[10, 13, 5, 1, 1], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1),
y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-2, -2], [-3, -3]]]], [[10, 13, 5, 1, 2], [v = 2^(1/2), And(1 < u,u
< v), And(-1 < x,x < -u^2+1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-2, -2], [-1732073/1048576, -3464145/
2097152]]]], [[10, 13, 5, 1, 3], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [-1/4194304, -1/
4194304]]]], [[10, 13, 5, 1, 4], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-2, -2], [216509/131072, 1732073/1048576]]]], [[10, 13, 5,
1, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y < u^2-x-3, (-
x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [3,
3]]]], [[11, 3, 4, 1, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[11, 3,
4, 1, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y
< -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[11, 3, 4, 1, 3], [2^(1/2)
< v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, And(-(1
-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[11, 3, 4, 1, 4], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)
^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -\
1], [-3, -3], [2, 2]]]], [[11, 3, 4, 1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-3, -3], [3, 3]]]],
[[11, 5, 2, 7, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-\
1, u^2-v^2+1 < y, z = z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-195745/131072, -1565959/1048576], [3, 3], [0, 0]]]], [[11, 9, 5, 7,
1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0
), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [1581611/2097152, 1581611/2097152],
[0, 0]]]], [[11, 11, 2, 6, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = z], [regular_chain, [[3, 3], [0
, 0], [-10, -10], [18, 18], [0, 0]]]], [[11, 16, 5, 3, 1], [2^(1/2) < v, u = v
, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [3, 3], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[11, 16, 5, 3, 2], [2^(1/
2) < v, u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-1, -1], [-1482911/2097152, -\
741455/1048576]]]], [[11, 16, 5, 3, 3], [2^(1/2) < v, u = v, And(0 < x,x < 1),
And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [3, 3], [1/2, 1/2], [-1, -1], [0, 0]]]], [[11, 16, 5, 3, 4], [2^(1/
2) < v, u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/
65536]]]], [[11, 16, 5, 3, 5], [2^(1/2) < v, u = v, And(0 < x,x < 1), And(-1-x
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [
-1, -1], [2, 2]]]], [[11, 18, 5, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[207243/65536, 3315889/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[11,
18, 5, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[11, 18, 5, 5, 3], [2^(1
/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 18, 5, 5, 4], [2^(1/2) <
v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [1/4,
1/4], [1/2, 1/2]]]], [[11, 18, 5, 5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3],
[207243/65536, 3315889/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 1,
9, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^
2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [8, 8
], [-25, -25], [-6, -6]]]], [[1, 1, 9, 2, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2
), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [8, 8], [-25, -25], [-2161695/524288, -\
4323389/1048576]]]], [[1, 1, 9, 2, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(
1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [-25, -25], [0, 0]]
]], [[1, 1, 9, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2
-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [8, 8], [-25, -25], [4323389/1048576, 2161695/524288]]]], [[1, 1, 9, 2, 5
], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x
-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [8, 8], [-25,
-25], [6, 6]]]], [[1, 3, 6, 1, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [0, 0], [-4, -4], [-3, -3]]]], [[1,
3, 6, 1, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0,
y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[1, 3, 6, 1, 3], [v < -2^
(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [0, 0], [-4, -4], [0, 0]]]], [[1, 3, 6, 1, 4], [v < -2^(1
/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-
y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0
, 0], [-4, -4], [2, 2]]]], [[1, 3, 6, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-4, -\
4], [3, 3]]]], [[1, 7, 9, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
402653157/268435456, -402653157/268435456], [-2, -2]]]], [[1, 7, 9, 3, 2], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-402653157/268435456, -402653157/
268435456], [-536870885/536870912, -17592185159679/17592186044416]]]], [[1, 7,
9, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(
u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
402653157/268435456, -402653157/268435456], [-15892479/35184372088832, -\
15892479/35184372088832]]]], [[1, 7, 9, 3, 4], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-
x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[1/2, 1/2], [-402653157/268435456, -402653157/268435456], [1048575/1048576, 1]
]]], [[1, 7, 9, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x
,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
402653157/268435456, -402653157/268435456], [2, 2]]]], [[1, 9, 7, 9, 1], [v <
-2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1
), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [2, 2], [0, 0]]]], [[1, 
14, 9, 3, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576],
[2, 2], [-3, -3], [-2, -2]]]], [[1, 14, 9, 3, 2], [v < -2^(1/2), u = (v^2-1)^(
1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [741455/262144, 2965821/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[1, 14,
9, 3, 3], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [741455/262144
, 2965821/1048576], [2, 2], [-3, -3], [0, 0]]]], [[1, 14, 9, 3, 4], [v < -2^(1
/2), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [741455/262144, 2965821/1048576], [2, 2], [-3, -3],
[1, 1]]]], [[1, 14, 9, 3, 5], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 < x, And(-x-\
2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [2, 2], [-3, -3], [2, 2]]]], [[1, 16, 7, 7, 1], [v < -2^(1/2
), u = -v, 1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [1
, 1], [0, 0]]]], [[1, 20, 9, 4, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y
= -x, z < 0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2
, 2], [-2, -2], [-1, -1]]]], [[1, 20, 9, 4, 2], [v < -2^(1/2), u = (v^2+2)^(1/
2), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [2, 2], [-2, -2], [0, 0]]]], [[1, 20, 9, 4, 3], [v < -2^(1/2)
, u = (v^2+2)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [2, 2], [-2, -2], [1, 1]]]], [[2, 1, 6, 1, 1
], [v = -2^(1/2), u < -2, x = 0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-9, -9], [-4, -4]]]],
[[2, 1, 6, 1, 2], [v = -2^(1/2), u < -2, x = 0, y < -u^2+1, z = -(-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-9, -9
], [-3, -3]]]], [[2, 1, 6, 1, 3], [v = -2^(1/2), u < -2, x = 0, y < -u^2+1, 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [0, 0], [-9, -9], [0, 0]]]], [[2, 1, 6, 1, 4], [v =
-2^(1/2), u < -2, x = 0, y < -u^2+1, z = (-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-9, -9], [3, 3]]]], [[2,
1, 6, 1, 5], [v = -2^(1/2), u < -2, x = 0, y < -u^2+1, (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-9, -9]
, [4, 4]]]], [[2, 10, 6, 7, 1], [v = -2^(1/2), u = 0, x = 0, 1 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [2, 2], [0
, 0]]]], [[2, 12, 4, 5, 1], [v = -2^(1/2), u = 1, x = -1, And(0 < y,y < 1), z
< -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1],
[-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 12, 4, 5, 2], [v = -2^(1/2), u = 1, x
= -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[2, 12, 4, 5, 3], [v = -2^(1/2), u = 1, x = -1, And(0 < y,y < 1)
, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [-1, -1], [1/2, 1/2], [0, 0]]]], [[2, 12, 4, 5, 4], [
v = -2^(1/2), u = 1, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1/2, 1/
2], [741455/1048576, 46341/65536]]]], [[2, 12, 4, 5, 5], [v = -2^(1/2), u = 1,
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1, 1], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 16, 8, 4, 1],
[v = -2^(1/2), u = 3^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [1, 1], [-1, -1],
[-1, -1]]]], [[2, 16, 8, 4, 2], [v = -2^(1/2), u = 3^(1/2), x = 1, y = -1, z =
0], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [1, 1], [-1, -1], [0, 0]]]], [[2, 16, 8, 4, 3], [v = -2^(1/2
), u = 3^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [1, 1], [-1, -1], [1, 1]]]],
[[2, 18, 5, 5, 1], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[2, 18, 5, 5, 2], [v = -2^(1/2), u
= 2, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[2, 18, 5, 5, 3], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]],
[[2, 18, 5, 5, 4], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2]
, [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 18, 5, 5, 5], [v = -2^(1/2), u
= 2, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]
]], [[3, 4, 6, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, y
= -2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [0, 0], [-2, -2], [-3, -3]]]], [[3, 4, 6, 2,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, y = -2, z = -2^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[3
, 4, 6, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, y = -2, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [0, 0], [-2, -2], [0, 0]]]], [[3
, 4, 6, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, y = -2, z
= 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]
]], [[3, 4, 6, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 0, y
= -2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [0, 0], [-2, -2], [3, 3]]]], [[3, 6, 5, 1, 1
], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[3, 6, 5, 1, 2
], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/
131072]]]], [[3, 6, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x <
1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [-3, -3], [0, 0]]]], [[3, 6, 5, 1, 4], [And(-2^(1/2) < v,v < -1), u =
v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2],
[-3, -3], [207243/131072, 1657945/1048576]]]], [[3, 6, 5, 1, 5], [And(-2^(1/2)
< v,v < -1), u = v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-3, -3], [3, 3]]]], [[3, 10, 8, 5, 1], [And(-2^
(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[3, 12, 7, 2, 1], [And(-2^(1/2) <
v,v < -1), u = -v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -\
3], [-2, -2]]]], [[3, 12, 7, 2, 2], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x,
y = -1-x, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[3, 12, 7,
2, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-3, -3], [0, 0]]]], [[3, 12, 7, 2, 4], [And(-2^(1/2
) < v,v < -1), u = -v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-3, -\
3], [1, 1]]]], [[3, 12, 7, 2, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y
= -1-x, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-3, -3], [2, 2]]]], [[3, 14, 7, 6,
1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 16, 4, 9, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[3, 3], [0, 0]]]], [[4, 3, 2, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -u^2, y = 0, z < u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-2594959/1048576, -1297479/524288], [0, 0], [-3, -3]]]], [[
4, 3, 2, 2, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = 0, z =
u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-2594959
/1048576, -1297479/524288], [0, 0], [-1649549/1048576, -3299097/2097152]]]], [
[4, 3, 2, 2, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = 0, And
(u < z,z < -u)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-2594959/1048576, -1297479/524288], [0, 0], [-1/4194304, -1/4194304
]]]], [[4, 3, 2, 2, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y =
0, z = -u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
-2594959/1048576, -1297479/524288], [0, 0], [412387/262144, 1649549/1048576]]]
], [[4, 3, 2, 2, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = 0,
-u < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-\
2594959/1048576, -1297479/524288], [0, 0], [3, 3]]]], [[4, 5, 1, 1, 1], [v = -\
1, And(-2^(1/2) < u,u < -1), x < -u^2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1,
-1], [-3, -3]]]], [[4, 5, 1, 1, 2], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^
2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[4, 5, 1, 1, 3], [v = -1,
And(-2^(1/2) < u,u < -1), x < -u^2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [-1, -1], [0, 0]]]], [[4, 5, 1, 1, 4], [v = -1, And(-2^(1/2) < u,u < -1),
x < -u^2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[4, 5, 1, 1, 5], [
v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [-1,
-1], [3, 3]]]], [[4, 10, 7, 7, 1], [v = -1, u = 1, 1 < x, 0 < y, z = z], [
regular_chain, [[-1, -1], [1, 1], [2, 2], [1, 1], [0, 0]]]], [[4, 12, 8, 4, 1]
, [v = -1, u = 2^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[4, 12, 8, 4,
2], [v = -1, u = 2^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [0, 0]]]], [[4, 12, 8, 4, 3
], [v = -1, u = 2^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [1, 1], [-1, -1], [1, 1]]]], [[5, 1, 5, 8, 1]
, [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = u^2-v^2-x-1,
z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [33/4, 33/4], [
0, 0]]]], [[5, 3, 2, 7, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288],
[4, 4], [0, 0]]]], [[5, 12, 7, 4, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [
1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[5, 12, 7, 4, 2], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/
2], [3/2, 3/2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[5, 12, 7, 4, 3], [And(-\
1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]],
[[6, 1, 4, 3, 1], [v = 0, u < -2^(1/2), x = -1, And(-u^2 < y,y < 0), z < -(1-y
)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [-9/2, -9/2], [-4, -4]]
]], [[6, 1, 4, 3, 2], [v = 0, u < -2^(1/2), x = -1, And(-u^2 < y,y < 0), z = -
(1-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [-9/2, -9/2], [-\
2459129/1048576, -307391/131072]]]], [[6, 1, 4, 3, 3], [v = 0, u < -2^(1/2), x
= -1, And(-u^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [-3, -3], [-1, -1], [-9/2, -9/2], [0, 0]]]], [[6, 1, 4
, 3, 4], [v = 0, u < -2^(1/2), x = -1, And(-u^2 < y,y < 0), z = (1-y)^(1/2)],
[regular_chain, [[0, 0], [-3, -3], [-1, -1], [-9/2, -9/2], [307391/131072, 
2459129/1048576]]]], [[6, 1, 4, 3, 5], [v = 0, u < -2^(1/2), x = -1, And(-u^2
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [-9
/2, -9/2], [4, 4]]]], [[6, 5, 3, 5, 1], [v = 0, And(-1 < u,u < 0), And(-u^2-1
< x,x < -1), And(0 < y,y < u^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-9/8, -9/8], [3/16, 3/16], [-2, -2]]]], [[6, 5, 3, 5, 2], [
v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2-x-1), z =
-(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/16, 3/
16], [-8122235/8388608, -16244469/16777216]]]], [[6, 5, 3, 5, 3], [v = 0, And(
-1 < u,u < 0), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2-x-1), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8]
, [3/16, 3/16], [-5/33554432, -5/33554432]]]], [[6, 5, 3, 5, 4], [v = 0, And(-\
1 < u,u < 0), And(-u^2-1 < x,x < -1), And(0 < y,y < u^2-x-1), z = (-x-y)^(1/2)
], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/16, 3/16], [1015279
/1048576, 63455/65536]]]], [[6, 5, 3, 5, 5], [v = 0, And(-1 < u,u < 0), And(-u
^2-1 < x,x < -1), And(0 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [
[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/16, 3/16], [2, 2]]]], [[6, 7, 3, 9, 1],
[v = 0, And(0 < u,u < 1), And(-u^2-1 < x,x < -1), -x < y, z = z], [
regular_chain, [[0, 0], [1/2, 1/2], [-9/8, -9/8], [3, 3], [0, 0]]]], [[7, 1, 5
, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2]
, [1/4, 1/4], [-2, -2]]]], [[7, 1, 5, 5, 2], [And(0 < v,v < 1), u < -(v^2+2)^(
1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[7, 1, 5,
5, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
3, -3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[7, 1, 5, 5, 4], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]
]]], [[7, 1, 5, 5, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0
), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3]
, [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 3, 2, 4, 1], [And(0 < v,v < 1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z <
0], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/524288, 2583195/1048576], [-1, -1]]]], [[7
, 3, 2, 4, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-2583195/1048576, -1291597/524288], [1291597/524288,
2583195/1048576], [0, 0]]]], [[7, 3, 2, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [1291597/524288, 2583195/1048576], [1, 1]]]], [[7,
7, 5, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1),
y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0]
, [-7/8, -7/8], [-3/8, -3/8], [-3, -3]]]], [[7, 7, 5, 2, 2], [And(0 < v,v < 1)
, And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-3/8, -3/8],
[-146543/131072, -1172343/1048576]]]], [[7, 7, 5, 2, 3], [And(0 < v,v < 1), 
And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2
+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [
-7/8, -7/8], [-3/8, -3/8], [0, 0]]]], [[7, 7, 5, 2, 4], [And(0 < v,v < 1), And
(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-3/8, -3/8], [
1172343/1048576, 146543/131072]]]], [[7, 7, 5, 2, 5], [And(0 < v,v < 1), And(-
v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-3/8, -3/8], [3, 3]]
]], [[7, 9, 5, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [106039/524288, 212079/1048576], [-2, -2]]]], [[7, 9, 5, 6, 2], [And
(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^
2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/
524288, 212079/1048576], [-1618333/2097152, -3236665/4194304]]]], [[7, 9, 5, 6
, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-\
1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/524288, 212079/1048576], [-1/8388608, -1/
8388608]]]], [[7, 9, 5, 6, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/524288, 212079/1048576], [404583/524288, 
809167/1048576]]]], [[7, 9, 5, 6, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)
^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/524288, 212079/1048576], [2, 2]]]], [[7, 
11, 4, 3, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [
-3, -3]]]], [[7, 11, 4, 3, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-767309
/1048576, -767309/1048576], [-1379889/1048576, -86243/65536]]]], [[7, 11, 4, 3
, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And
(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-767309/1048576, -\
767309/1048576], [0, 0]]]], [[7, 11, 4, 3, 4], [And(0 < v,v < 1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [-\
767309/1048576, -767309/1048576], [86243/65536, 1379889/1048576]]]], [[7, 11,
4, 3, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [
3, 3]]]], [[7, 13, 1, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u^2+v^
2-1, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [11, 11]
, [-1, -1]]]], [[7, 13, 1, 6, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x < -u
^2+v^2-1, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [11
, 11], [0, 0]]]], [[7, 13, 1, 6, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [-11, -11], [
11, 11], [1, 1]]]], [[8, 3, 7, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
And(0 < x,x < u^2-2), y = 0, z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [0, 0], [0, 0]]]
], [[8, 5, 6, 7, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, -u^2+2 < y,
z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1138531/2097152, -569265/1048576], [2, 2], [0, 0]]]], [[8, 11, 5, 9, 1], [v =
1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), -x < y, z = z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-3235683/4194304,
-3235683/4194304], [2, 2], [0, 0]]]], [[8, 13, 5, 3, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-\
66261427/67108864, -66261427/67108864], [-3, -3]]]], [[8, 13, 5, 3, 2], [v = 1
, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
-1/2, -1/2], [-66261427/67108864, -66261427/67108864], [-1278821/1048576, -\
319705/262144]]]], [[8, 13, 5, 3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 
And(-1 < x,x < 0), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2
], [-66261427/67108864, -66261427/67108864], [0, 0]]]], [[8, 13, 5, 3, 4], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[-1/2, -1/2], [-66261427/67108864, -66261427/67108864], [319705/262144, 
1278821/1048576]]]], [[8, 13, 5, 3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(-1 < x,x < 0), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [-66261427/67108864,
-66261427/67108864], [3, 3]]]], [[9, 1, 11, 3, 1], [And(1 < v,v < 2^(1/2)), u
< -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [-\
25735089/2097152, -25735089/2097152], [-4, -4]]]], [[9, 1, 11, 3, 2], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [8, 8], [-25735089/2097152, -25735089/2097152], [-2167143/1048576, -\
1083571/524288]]]], [[9, 1, 11, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(
1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[8, 8], [-25735089/2097152, -25735089/2097152], [0, 0]]]], [[9, 1, 11, 3, 4],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [8, 8], [-25735089/2097152, -25735089/2097152], [1083571/
524288, 2167143/1048576]]]], [[9, 1, 11, 3, 5], [And(1 < v,v < 2^(1/2)), u < -
(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [-\
25735089/2097152, -25735089/2097152], [4, 4]]]], [[9, 3, 8, 6, 1], [And(1 < v,
v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = 0
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [501965/1048576, 250983/524288], [0, 0], [0, 0]]]
], [[9, 13, 5, 4, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 
And(-1 < x,x < u^2-v^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [0, 0], [-2, -2]]]], [[9, 13, 5, 4, 2], [And(1 < v
,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [0, 0
], [-917871/1048576, -7342967/8388608]]]], [[9, 13, 5, 4, 3], [And(1 < v,v < 2
^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, And(-
(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [0, 0], [-7/16777216, -7/16777216]]]], [[9, 13, 5, 4, 4], [And(1 < v
,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [0, 0], [
458935/524288, 917871/1048576]]]], [[9, 13, 5, 4, 5], [And(1 < v,v < 2^(1/2)),
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, (-x)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3213833/4194304, -3213833/4194304], [0, 0], [2, 2]]]], [[9
, 15, 4, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = -1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [2599117/2097152
, 2599117/2097152], [0, 0]]]], [[10, 1, 10, 5, 1], [v = 2^(1/2), u < -2, x = u
^2-3, And(-u^2+3 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [6, 6], [-3, -3], [0, 0]]]], [[10, 3, 8, 1, 1], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339
/2097152], [505467/1048576, 126367/262144], [-4, -4], [-3, -3]]]], [[10, 3, 8,
1, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y < -2*u^2+4, z = -(
-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339
/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-4, -4], [-\
7866919/4194304, -15733837/8388608]]]], [[10, 3, 8, 1, 3], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z < (-
u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339
/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-4, -4], [-5/
16777216, -5/16777216]]]], [[10, 3, 8, 1, 4], [v = 2^(1/2), And(-2 < u,u < -3^
(1/2)), x = u^2-3, y < -2*u^2+4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [505467
/1048576, 126367/262144], [-4, -4], [1966729/1048576, 983365/524288]]]], [[10,
3, 8, 1, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = u^2-3, y < -2*u^2+4,
(-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [505467/1048576, 126367/262144], [-4, -4],
[3, 3]]]], [[10, 9, 5, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x <
0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[10, 9
, 5, 5, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 9, 5, 5, 3], [v =
2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10, 9, 5, 5, 4], [v =
2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2,
-1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 9, 5, 5, 5], [v = 2^(1/2), And(-1 < u,
u < 0), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2],
[1/4, 1/4], [2, 2]]]], [[10, 11, 3, 1, 1], [v = 2^(1/2), And(0 < u,u < 1), And
(u^2-3 < x,x < -1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [-2, -2], [-3, -3]]]], [
[10, 11, 3, 1, 2], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y <
u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1/2, 1/2], [-15/8, -15/8], [-2, -2], [-33025983/16777216, -16512991/8388608
]]]], [[10, 11, 3, 1, 3], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1
), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [-2, -2], [-7/
16777216, -7/16777216]]]], [[10, 11, 3, 1, 4], [v = 2^(1/2), And(0 < u,u < 1),
And(u^2-3 < x,x < -1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [-2, -2], [
2064123/1048576, 516031/262144]]]], [[10, 11, 3, 1, 5], [v = 2^(1/2), And(0 <
u,u < 1), And(u^2-3 < x,x < -1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8],
[-2, -2], [3, 3]]]], [[10, 15, 5, 4, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [0, 0], [-2, -2]]]], [[10, 15, 5, 4, 2], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [0, 0], [-1831413/2097152, -\
3662825/4194304]]]], [[10, 15, 5, 4, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-1 < x,x < u^2-3), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [0, 0], [-1/8388608, -1/
8388608]]]], [[10, 15, 5, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1
< x,x < u^2-3), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [0, 0], [457853/524288, 915707/1048576]]]], [[10, 15, 5, 4,
5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), y = 0, (-x)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [-3198693/4194304, -3198693/4194304], [0, 0], [2, 2]]]], [
[10, 17, 4, 7, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, And(1 < y,y <
u^2-2), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-1, -1], [2602619/2097152, 2602619/2097152], [0, 0
]]]], [[10, 19, 1, 2, 1], [v = 2^(1/2), 2 < u, x < -u^2+1, y = 0, z < -(-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [0,
0], [-4, -4]]]], [[10, 19, 1, 2, 2], [v = 2^(1/2), 2 < u, x < -u^2+1, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9
, -9], [0, 0], [-3, -3]]]], [[10, 19, 1, 2, 3], [v = 2^(1/2), 2 < u, x < -u^2+
1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-9, -9], [0, 0], [0, 0]]]], [[10, 19, 1, 2,
4], [v = 2^(1/2), 2 < u, x < -u^2+1, y = 0, z = (-x)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [0, 0], [3, 3]]]], [[10, 
19, 1, 2, 5], [v = 2^(1/2), 2 < u, x < -u^2+1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [0, 0], [4
, 4]]]], [[11, 1, 7, 5, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-\
1/4, -1/4], [0, 0]]]], [[11, 5, 6, 1, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u
,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [-2, -2], [-3, -3]]]], [[11, 5, 6, 1, 2], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+
1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193
/1048576, -1062385/2097152], [-2, -2], [-3320253/2097152, -830063/524288]]]],
[[11, 5, 6, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1
, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [-2, -2], [0, 0]]]], [[11, 5, 6, 1, 4], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^
(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [-2, -2], [830063/524288, 1660127/1048576]]]], [[
11, 5, 6, 1, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1,
y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851
/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-2, -2], [3, 3
]]]], [[11, 7, 7, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/
2097152], [-1322295/1048576, -661147/524288], [-3, -3]]]], [[11, 7, 7, 2, 2],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = u
^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-1322295/
1048576, -661147/524288], [-1287385/1048576, -160923/131072]]]], [[11, 7, 7, 2
, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0),
y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-1322295/1048576, -661147/524288], [0, 0]]]], [[11, 7, 7,
2, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0)
, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549
/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-1322295/
1048576, -661147/524288], [160923/131072, 1287385/1048576]]]], [[11, 7, 7, 2,
5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y
= u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-1322295/
1048576, -661147/524288], [3, 3]]]], [[11, 12, 8, 3, 1], [2^(1/2) < v, u = (v^
2-2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3
, 3], [2774271/1048576, 10837/4096], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[11,
12, 8, 3, 2], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, And(-4 < y,y < -1), z =
-(-y-1)^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [1, 1]
, [-5/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[11, 12, 8, 3, 3], [2^
(1/2) < v, u = (v^2-2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z
,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [
1, 1], [-5/2, -5/2], [0, 0]]]], [[11, 12, 8, 3, 4], [2^(1/2) < v, u = (v^2-2)^
(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3],
[2774271/1048576, 10837/4096], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/
1048576]]]], [[11, 12, 8, 3, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, And(-\
4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [1, 1], [-5/2, -5/2], [3, 3]]]], [[11, 14, 7, 2, 1], [2^(1/2) < v
, u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain
, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3
]]]], [[11, 14, 7, 2, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), y
= -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[
11, 14, 7, 2, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2,
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[11, 14, 7, 2, 4], [2^
(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-5/2, -\
5/2], [741455/524288, 1482911/1048576]]]], [[11, 14, 7, 2, 5], [2^(1/2) < v, u
= (v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [
[11, 18, 9, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [2, 2], [1, 1], [0, 0
]]]], [[11, 20, 7, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), 
And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[11, 20, 7, 3, 2
], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[11, 20, 7, 3, 3
], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [1/2, 1/2], [-2, -2], [0, 0]]]], [[11, 20, 7, 3, 4],
[2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2
, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[11, 20, 7, 3, 5], [2^
(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1
/2], [-2, -2], [3, 3]]]], [[1, 5, 4, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), x = -1, 1 < y, z = z], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-1, -1], [2, 2], [0, 0]]]], [[1, 7, 5, 4, 1], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, z < -(-x)^(1
/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [0, 0], [-2, -2]]]], [[1, 7, 5, 4, 2], [v < -2
^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-391287/524288, -391287/524288], [0, 0], [-1811727/2097152, -3623453/4194304]
]]], [[1, 7, 5, 4, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 <
x,x < -u^2+v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/
524288], [0, 0], [-1/8388608, -1/8388608]]]], [[1, 7, 5, 4, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, z = (-x)^(1/
2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287
/524288, -391287/524288], [0, 0], [905863/1048576, 113233/131072]]]], [[1, 7,
5, 4, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [2, 2]]]], [[1, 11
, 4, 8, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = -1,
y = -u^2+v^2, z = z], [regular_chain, [[-3, -3], [0, 0], [-1, -1], [9, 9], [0,
0]]]], [[1, 13, 1, 7, 1], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), x < u^2-v^2-1, And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3
, -3], [1435023/524288, 1435023/524288], [-4, -4], [2230411/524288, 2230411/
524288], [0, 0]]]], [[1, 18, 8, 4, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1
, y = -1, z < 0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[1, 1], [-1, -1], [-1, -1]]]], [[1, 18, 8, 4, 2], [v < -2^(1/2), u = (v^2+1)^(
1/2), x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [207243/65536, 3315889
/1048576], [1, 1], [-1, -1], [0, 0]]]], [[1, 18, 8, 4, 3], [v < -2^(1/2), u =
(v^2+1)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [207243/65536
, 3315889/1048576], [1, 1], [-1, -1], [1, 1]]]], [[1, 20, 5, 5, 1], [v < -2^(1
/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2]
, [1/4, 1/4], [-2, -2]]]], [[1, 20, 5, 5, 2], [v < -2^(1/2), u = (v^2+2)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [1/4, 1/4], [-1/2, -\
1/2]]]], [[1, 20, 5, 5, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0
), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [1/4, 1/4], [0,
0]]]], [[1, 20, 5, 5, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1, 20, 5,
5, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[2, 3, 3, 2, 1], [v = -2^(1/2), And(-\
2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z < -(u^2-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-388511/524288, -\
1554043/2097152], [-3, -3]]]], [[2, 3, 3, 2, 2], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-388511/524288, -\
1554043/2097152], [-825991/524288, -3303963/2097152]]]], [[2, 3, 3, 2, 3], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, 
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-388511/524288, -1554043/2097152], [-1/4194304, -1/4194304]
]]], [[2, 3, 3, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x
,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-388511/524288, -1554043/2097152], [1651981/1048576, 825991
/524288]]]], [[2, 3, 3, 2, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u
^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [-388511/524288, -1554043/2097152], [3, 3]]]], [[2
, 5, 1, 8, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = -x, z <
0], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/4194304, -\
6598195/4194304], [-3, -3], [3, 3], [-1, -1]]]], [[2, 5, 1, 8, 2], [v = -2^(1/
2), And(-3^(1/2) < u,u < v), x < -u^2+1, y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -\
3], [3, 3], [0, 0]]]], [[2, 5, 1, 8, 3], [v = -2^(1/2), And(-3^(1/2) < u,u < v
), x < -u^2+1, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [3, 3], [1, 1]]]], [[
2, 7, 2, 2, 1], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, y = 0, z < -(-u^2
+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0], [-3,
-3]]]], [[2, 7, 2, 2, 2], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, y = 0,
z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [0,
0], [-1302471/1048576, -651235/524288]]]], [[2, 7, 2, 2, 3], [v = -2^(1/2), 
And(v < u,u < -1), x = u^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0], [0, 0]]]], [[2
, 7, 2, 2, 4], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, y = 0, z = (-u^2+3
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0], [
651235/524288, 1302471/1048576]]]], [[2, 7, 2, 2, 5], [v = -2^(1/2), And(v < u
,u < -1), x = u^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-3235683/
2097152, -1617841/1048576], [0, 0], [3, 3]]]], [[2, 9, 1, 1, 1], [v = -2^(1/2)
, And(-1 < u,u < 0), x < u^2-3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [-1, -1], [-4, -4]]]
], [[2, 9, 1, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, y < 0, z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/
2], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[2, 9, 1, 1, 3]
, [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-3, y < 0, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2,
-1/2], [-4, -4], [-1, -1], [0, 0]]]], [[2, 9, 1, 1, 4], [v = -2^(1/2), And(-1
< u,u < 0), x < u^2-3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [-1, -1], [2344687/1048576,
146543/65536]]]], [[2, 9, 1, 1, 5], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2-\
3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-4, -4], [-1, -1], [4, 4]]]], [[2, 12, 9, 3, 1], [v =
-2^(1/2), u = 1, 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-3, -3],
[-2, -2]]]], [[2, 12, 9, 3, 2], [v = -2^(1/2), u = 1, 1 < x, And(-x-2 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1, 1], [2, 2], [-3, -3], [-1, -1]]]], [[2, 12, 9, 3, 3], [v = -2^(1/2), u = 1
, 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-3, -3],
[0, 0]]]], [[2, 12, 9, 3, 4], [v = -2^(1/2), u = 1, 1 < x, And(-x-2 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [2, 2], [-3, -3], [1, 1]]]], [[2, 12, 9, 3, 5], [v = -2^(1/2), u = 1, 1 <
x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1, 1], [2, 2], [-3, -3], [2, 2]]]], [[2, 14, 7, 7, 1], [v
= -2^(1/2), u = -v, 1 < x, 0 < y, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [741455/524288, 1482911/1048576], [2, 2], [1, 1], [0, 0]]]],
[[3, 1, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-\
1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [8957873/2097152, 8957873/2097152], [-4, -4]]]], [[3, 1, 2, 3, 2], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^
2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [8957873/
2097152, 8957873/2097152], [-2167143/1048576, -1083571/524288]]]], [[3, 1, 2,
3, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 <
y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [8957873/2097152, 8957873/2097152], [0, 0]]]], [[3,
1, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[3,
1, 2, 3, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [4, 4]]]], [[3, 2, 8, 2, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [
1, 1], [-4, -4], [-3, -3]]]], [[3, 2, 8, 2, 2], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-4,
-4], [-1816187/1048576, -3632373/2097152]]]], [[3, 2, 8, 2, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[3, 2, 8, 2,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = -4, z = 3^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[3,
2, 8, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, y = -4, 3^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1, 1], [-4, -4], [3, 3]]]], [[3, 7, 2, 2, 1], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576],
[0, 0], [-3, -3]]]], [[3, 7, 2, 2, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [0, 0], [-1314069/
1048576, -328517/262144]]]], [[3, 7, 2, 2, 3], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [0
, 0], [0, 0]]]], [[3, 7, 2, 2, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(
v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-3293563/2097152, -1646781/1048576], [0, 0], [328517/262144, 1314069/1048576]]
]], [[3, 7, 2, 2, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2))
, x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [0, 0], [3, 3]]]], [[3, 9, 1, 1, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [-4, -4], [-1, -1], [-4, -4]]]], [[3, 9, 1, 1, 2], [And(-2^(1/2) < v,v < -\
1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4,
-4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[3, 9, 1, 1, 3], [And(-2
^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1,
y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-4, -4], [-1, -1], [0, 0]]]], [[3, 9, 1,
1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x
< u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]
]], [[3, 9, 1, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-1, -1], [4, 4]]]], [[4
, 1, 1, 8, 1], [v = -1, u < -3^(1/2), x < -u^2, y = u^2-x-2, z = z], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [17, 17], [0, 0]]]], [[4, 2, 7
, 7, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [
1/4, 1/4], [0, 0]]]], [[4, 7, 1, 5, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2,
And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1/2, -1/2], [-3, -3], [2, 2], [-2, -2]]]], [[4, 7, 1, 5, 2], [v = -1, And(-1 <
u,u < 0), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [2, 2], [-1, -1]]]], [[4, 7,
1, 5, 3], [v = -1, And(-1 < u,u < 0), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1
/2], [-3, -3], [2, 2], [0, 0]]]], [[4, 7, 1, 5, 4], [v = -1, And(-1 < u,u < 0)
, x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [
[-1, -1], [-1/2, -1/2], [-3, -3], [2, 2], [1, 1]]]], [[4, 7, 1, 5, 5], [v = -1
, And(-1 < u,u < 0), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(1/2) < z]
, [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [2, 2], [2, 2]]]], [[4, 8
, 9, 2, 1], [v = -1, u = 0, 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[
-1, -1], [0, 0], [2, 2], [-4, -4], [-3, -3]]]], [[4, 8, 9, 2, 2], [v = -1, u =
0, 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [2, 2],
[-4, -4], [-1482911/1048576, -741455/524288]]]], [[4, 8, 9, 2, 3], [v = -1, u
= 0, 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1
], [0, 0], [2, 2], [-4, -4], [0, 0]]]], [[4, 8, 9, 2, 4], [v = -1, u = 0, 1 <
x, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-4, -4]
, [741455/524288, 1482911/1048576]]]], [[4, 8, 9, 2, 5], [v = -1, u = 0, 1 < x
, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-4, -4],
[3, 3]]]], [[4, 14, 5, 5, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[4, 14, 5, 5, 2], [v
= -1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4
, 1/4], [-1/2, -1/2]]]], [[4, 14, 5, 5, 3], [v = -1, u = 3^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4
, 1/4], [0, 0]]]], [[4, 14, 5, 5, 4], [v = -1, u = 3^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[4, 14, 5,
5, 5], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1
/2], [1/4, 1/4], [2, 2]]]], [[5, 1, 2, 4, 1], [And(-1 < v,v < 0), u < -(v^2+2)
^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-1/2, -1/2],
[-3, -3], [-39/4, -39/4], [39/4, 39/4], [-1, -1]]]], [[5, 1, 2, 4, 2], [And(-1
< v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [39/4, 39/4], [0, 0]]]
], [[5, 1, 2, 4, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y
= u^2-v^2+1, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4],
[39/4, 39/4], [1, 1]]]], [[5, 5, 1, 6, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1
/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[2521309/1048576, 1260655/524288], [-2, -2]]]], [[5, 5, 1, 6, 2], [And(-1 < v,
v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [-3, -3], [2521309/1048576, 1260655/524288], [-1618333/2097152, -\
3236665/4194304]]]], [[5, 5, 1, 6, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (
-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [2521309/1048576, 1260655/524288], [-1/8388608, -1
/8388608]]]], [[5, 5, 1, 6, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2521309/
1048576, 1260655/524288], [404583/524288, 809167/1048576]]]], [[5, 5, 1, 6, 5]
, [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v
^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [2521309/1048576, 1260655/524288], [2, 2
]]]], [[5, 7, 2, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1,
y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/
4, -5/4], [-1, -1], [-3, -3]]]], [[5, 7, 2, 1, 2], [And(-1 < v,v < 0), And(v <
u,u < -v), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [0, 0], [-5/4, -5/4], [-1, -1], [-3/2, -3/2]]]], [[5, 7, 2, 1, 3
], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2
-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [0,
0], [-5/4, -5/4], [-1, -1], [0, 0]]]], [[5, 7, 2, 1, 4], [And(-1 < v,v < 0), 
And(v < u,u < -v), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [-1, -1], [3/2, 3/2]]]], [
[5, 7, 2, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, y < 0,
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4]
, [-1, -1], [3, 3]]]], [[5, 9, 2, 6, 1], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-1/2, -\
1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576],
[1472733/1048576, 736367/524288], [-1, -1]]]], [[5, 9, 2, 6, 2], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [1472733/1048576, 736367/524288], [0, 0]]]], [[5, 9
, 2, 6, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1,
y = u^2-v^2+1, 0 < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-736367/524288, -1472733/1048576], [1472733/1048576, 736367
/524288], [1, 1]]]], [[5, 11, 1, 5, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4
, -4], [2902707/1048576, 2902707/1048576], [-3, -3]]]], [[5, 11, 1, 5, 2], [
And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, 
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2
], [343151/262144, 343151/262144], [-4, -4], [2902707/1048576, 2902707/1048576
], [-1163761/1048576, -72735/65536]]]], [[5, 11, 1, 5, 3], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [-4, -4], [2902707/1048576, 2902707/
1048576], [0, 0]]]], [[5, 11, 1, 5, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4,
-4], [2902707/1048576, 2902707/1048576], [72735/65536, 1163761/1048576]]]], [[
5, 11, 1, 5, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [
2902707/1048576, 2902707/1048576], [3, 3]]]], [[6, 1, 7, 7, 1], [v = 0, u < -2
^(1/2), And(0 < x,x < 1), And(0 < y,y < u^2-x-1), z = z], [regular_chain, [[0,
0], [-3, -3], [1/2, 1/2], [15/4, 15/4], [0, 0]]]], [[6, 3, 4, 6, 1], [v = 0, 
And(-2^(1/2) < u,u < -1), x = -1, y = 1, z < 0], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[6, 3, 4,
6, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y = 1, z = 0], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]],
[[6, 3, 4, 6, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -1, y = 1, 0 < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1]
, [1, 1]]]], [[6, 9, 2, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^2-1, 2*u
^2 < y, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
-2576463/1048576, -1288231/524288], [4, 4], [0, 0]]]], [[6, 10, 8, 6, 1], [v =
0, u = 2^(1/2), x = 1, y = 0, z = z], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [1, 1], [0, 0], [0, 0]]]], [[7, 3, 5, 8, 1], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2
-x-1, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
-1/2, -1/2], [505165/524288, 1010331/1048576], [0, 0]]]], [[7, 5, 4, 7, 1], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y <
1), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [-2, -2]]]], [[7
, 5, 4, 7, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(
u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [-\
572167/1048576, -1144333/2097152]]]], [[7, 5, 4, 7, 3], [And(0 < v,v < 1), And
(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 1), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [-1/4194304, -1/
4194304]]]], [[7, 5, 4, 7, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [736367/1048576, 736367/
1048576], [286083/524288, 572167/1048576]]]], [[7, 5, 4, 7, 5], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1
, -1], [736367/1048576, 736367/1048576], [2, 2]]]], [[8, 1, 7, 1, 1], [v = 1,
u < -3^(1/2), And(0 < x,x < 1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [-3, -3], [1/2, 1/2], [-11, -11], [-5, -5]]]], [[8, 1, 7, 1, 2], [v
= 1, u < -3^(1/2), And(0 < x,x < 1), y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [-11, -11], [-3397775/1048576, -\
1698887/524288]]]], [[8, 1, 7, 1, 3], [v = 1, u < -3^(1/2), And(0 < x,x < 1),
y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[-3, -3], [1/2, 1/2], [-11, -11], [0, 0]]]], [[8, 1, 7, 1, 4], [v = 1, u < -3^
(1/2), And(0 < x,x < 1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1
], [-3, -3], [1/2, 1/2], [-11, -11], [1698887/524288, 3397775/1048576]]]], [[8
, 1, 7, 1, 5], [v = 1, u < -3^(1/2), And(0 < x,x < 1), y < -u^2-x, (-x-y)^(1/2
) < z], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/2], [-11, -11], [5, 5]]]],
[[8, 3, 4, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = 0, z < -\
1], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [
0, 0], [-2, -2]]]], [[8, 3, 4, 4, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -1, y = 0, z = -1], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [0, 0], [-1, -1]]]], [[8, 3, 4, 4, 3], [v = 1, And(-3^(1/2
) < u,u < -2^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1
], [-6598195/4194304, -6598195/4194304], [-1, -1], [0, 0], [0, 0]]]], [[8, 3,
4, 4, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [0, 0]
, [1, 1]]]], [[8, 3, 4, 4, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1,
y = 0, 1 < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[-1, -1], [0, 0], [2, 2]]]], [[8, 7, 6, 7, 1], [v = 1, And(-1 < u,u < 0), x =
-u^2, u^2 < y, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [2
, 2], [0, 0]]]], [[8, 9, 6, 1, 1], [v = 1, And(0 < u,u < 1), x = -u^2, y < 2*u
^2-2, z < -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4],
[-3, -3], [-3, -3]]]], [[8, 9, 6, 1, 2], [v = 1, And(0 < u,u < 1), x = -u^2, y
< 2*u^2-2, z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1
/4], [-3, -3], [-3780695/2097152, -7561389/4194304]]]], [[8, 9, 6, 1, 3], [v =
1, And(0 < u,u < 1), x = -u^2, y < 2*u^2-2, And(-(u^2-y)^(1/2) < z,z < (u^2-y)
^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -1/4], [-3, -3], [-1/
8388608, -1/8388608]]]], [[8, 9, 6, 1, 4], [v = 1, And(0 < u,u < 1), x = -u^2,
y < 2*u^2-2, z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1/4, -\
1/4], [-3, -3], [1890347/1048576, 472587/262144]]]], [[8, 9, 6, 1, 5], [v = 1,
And(0 < u,u < 1), x = -u^2, y < 2*u^2-2, (u^2-y)^(1/2) < z], [regular_chain, [
[1, 1], [1/2, 1/2], [-1/4, -1/4], [-3, -3], [3, 3]]]], [[8, 15, 1, 7, 1], [v =
1, 3^(1/2) < u, x < -u^2, And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[1
, 1], [3, 3], [-10, -10], [27/2, 27/2], [0, 0]]]], [[9, 1, 8, 1, 1], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-11, -\
11], [-5, -5]]]], [[9, 1, 8, 1, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2
), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [1, 1], [-11, -11], [-3315889/1048576, -\
207243/65536]]]], [[9, 1, 8, 1, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2
), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-11, -\
11], [0, 0]]]], [[9, 1, 8, 1, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [1, 1], [-11, -11], [207243/65536, 3315889/1048576
]]]], [[9, 1, 8, 1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y
< -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [-11, -11], [5, 5]]]], [[9, 5, 7, 1, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/
2097152], [-3, -3], [-3, -3]]]], [[9, 5, 7, 1, 2], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [-3, -\
3], [-3790127/2097152, -7580253/4194304]]]], [[9, 5, 7, 1, 3], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v
^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-3, -3], [-1/8388608, -1/8388608]]]], [[9, 5, 7, 1
, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 <
x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-558339/
2097152, -558339/2097152], [-3, -3], [1895063/1048576, 236883/131072]]]], [[9,
5, 7, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-
v^2-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [-3, -3], [3, 3]]]], [[9, 7, 7, 9, 1], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0),
-x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [2, 2], [0, 0
]]]], [[9, 9, 6, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-4, -4], [-3, -3]]]], [[9,
9, 6, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [0, 0], [-4, -4], [-2, -2]]]], [[9, 9, 6, 1, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y <
u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [0, 0], [-4, -4], [0, 0]]]], [[9, 9, 6, 1,
4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0,
y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [-4, -4], [2, 2]]]], [[9, 9, 6, 1, 5], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, (
-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
0, 0], [-4, -4], [3, 3]]]], [[9, 11, 5, 4, 1], [And(1 < v,v < 2^(1/2)), And((v
^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [0, 0], [-2, -2]]]], [[9, 11, 5, 4
, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u
^2+v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[0, 0], [-886499/1048576, -3545995/4194304]]]], [[9, 11, 5, 4, 3], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [0, 0], [-3/8388608, -3/8388608]]]], [[9, 11, 5, 4, 4], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-374737/524288, -374737/524288], [0, 0], [443249/
524288, 886499/1048576]]]], [[9, 11, 5, 4, 5], [And(1 < v,v < 2^(1/2)), And((v
^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-374737/524288, -374737/524288], [0, 0], [2, 2]]]], [[9, 15, 7, 9,
1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 <
x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 501965/
2097152], [2, 2], [0, 0]]]], [[9, 17, 5, 3, 1], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2],
[-8433585/2097152, -8433585/2097152], [-4, -4]]]], [[9, 17, 5, 3, 2], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152], [-557415/262144, -\
2229659/1048576]]]], [[9, 17, 5, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
-1/2, -1/2], [-8433585/2097152, -8433585/2097152], [0, 0]]]], [[9, 17, 5, 3, 4
], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2
-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152], [
2229659/1048576, 557415/262144]]]], [[9, 17, 5, 3, 5], [And(1 < v,v < 2^(1/2))
, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2,
-1/2], [-8433585/2097152, -8433585/2097152], [4, 4]]]], [[10, 5, 6, 2, 1], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-275385/524288, -1101539/2097152], [-15929805/16777216, -\
3982451/4194304], [-3, -3]]]], [[10, 5, 6, 2, 2], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-15929805/16777216, -3982451/4194304], [-\
636691/524288, -1273381/1048576]]]], [[10, 5, 6, 2, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [-275385/524288, -1101539/2097152], [-15929805/16777216, -\
3982451/4194304], [0, 0]]]], [[10, 5, 6, 2, 4], [v = 2^(1/2), And(-3^(1/2) < u
,u < -v), x = u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-15929805/16777216, -3982451/4194304], [
1273381/1048576, 636691/524288]]]], [[10, 5, 6, 2, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), x = u^2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-15929805/16777216, -3982451/4194304], [3,
3]]]], [[10, 7, 7, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x <
0), And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-808921/1048576, -808921/1048576], [-2, -2]
]]], [[10, 7, 7, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0
), And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [-808921/1048576, -808921/1048576], [-1, -1]]]], [[
10, 7, 7, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-u^2+1 < x,x < 0), And(
u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -808921/
1048576], [0, 0]]]], [[10, 7, 7, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), And(
-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -808921/
1048576], [1, 1]]]], [[10, 7, 7, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), And(
-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -808921/
1048576], [2, 2]]]], [[10, 11, 6, 1, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 0
, y < u^2-3, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [0, 0], [-4, -4], [-3, -3]]]], [[10, 11, 6, 1, 2], [v =
2^(1/2), And(0 < u,u < 1), x = 0, y < u^2-3, z = -(-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-4, -4], [-2, -2]]]],
[[10, 11, 6, 1, 3], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y < u^2-3, And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [1/2, 1/2], [0, 0], [-4, -4], [0, 0]]]], [[10, 11, 6, 1, 4], [v = 2^(1/2),
And(0 < u,u < 1), x = 0, y < u^2-3, z = (-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-4, -4], [2, 2]]]], [[10, 11, 6
, 1, 5], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y < u^2-3, (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [-4, -4]
, [3, 3]]]], [[10, 13, 5, 4, 1], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [0, 0], [-2, -2]]]], [[10, 13, 5, 4, 2], [v = 2^(1/2), And(1 < u,u <
v), And(-1 < x,x < -u^2+1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [0, 0], [-3580063/4194304, -1790031/2097152]]]], [
[10, 13, 5, 4, 3], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[10, 13, 5, 4, 4], [v
= 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [895015/1048576, 
111877/131072]]]], [[10, 13, 5, 4, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1
< x,x < -u^2+1), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [0, 0], [2, 2]]]], [[11, 3, 3, 9, 1], [2^(1/2) < v, And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 <
y, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-\
915943/524288, -915943/524288], [4, 4], [0, 0]]]], [[11, 5, 3, 3, 1], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-
x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/2097152, -\
258691/2097152], [-3, -3]]]], [[11, 5, 3, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1
/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z =
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
2614535/2097152, -2614535/2097152], [-258691/2097152, -258691/2097152], [-\
1227355/1048576, -613677/524288]]]], [[11, 5, 3, 3, 3], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-403851
/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/
2097152, -258691/2097152], [0, 0]]]], [[11, 5, 3, 3, 4], [2^(1/2) < v, And(-(v
^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-258691/2097152, -258691/
2097152], [613677/524288, 1227355/1048576]]]], [[11, 5, 3, 3, 5], [2^(1/2) < v
, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/2097152, -\
258691/2097152], [3, 3]]]], [[11, 9, 5, 4, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[0, 0], [-2, -2]]]], [[11, 9, 5, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[11, 9, 5, 4, 3], [2^(1/2) < v, And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 9, 5, 4, 4], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)
^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/
2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 9, 5, 4, 5], [2^(1/2
) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, (
-x)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608
], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 11, 2, 7, 1], [2^(1/2) < v, And(-(v^
2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, -2*u^2+2*v^2 < y, z = z], [
regular_chain, [[3, 3], [0, 0], [-10, -10], [19, 19], [0, 0]]]], [[11, 16, 5,
2, 1], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[11, 
16, 5, 2, 2], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -1-x, z = -1], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[11, 
16, 5, 2, 3], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -1-x, And(-1 < z,z <
1)], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[
11, 16, 5, 2, 4], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -1-x, z = 1], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[11, 16,
5, 2, 5], [2^(1/2) < v, u = v, And(0 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[11, 18,
6, 1, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0, 0], [-3, -3], [-3
, -3]]]], [[11, 18, 6, 1, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y < -2,
z = -(-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0
, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[11, 18, 6, 1, 3], [
2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1
/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0, 0], [-3,
-3], [-1/4194304, -1/4194304]]]], [[11, 18, 6, 1, 4], [2^(1/2) < v, u = (v^2+1
)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]]
, [[11, 18, 6, 1, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/
2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [0, 0], [-3
, -3], [3, 3]]]], [[1, 1, 9, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5, -5], [8, 8], [-33/2, -33/2], [-4, -4]]]], [[1,
1, 9, 3, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(
-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [8, 8], [-33/2, -33/2], [-24456785/8388608, -1528549/524288]]]], [[1, 1,
9, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^
2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-5, -5], [8, 8], [-33/2, -33/2], [0, 0]]]], [[1, 1,
9, 3, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^
2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5],
[8, 8], [-33/2, -33/2], [1528549/524288, 3057099/1048576]]]], [[1, 1, 9, 3, 5]
, [v < -2^(1/2), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-\
1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [8, 8],
[-33/2, -33/2], [4, 4]]]], [[1, 3, 6, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
2615197/1048576, -653799/262144], [-3, -3]]]], [[1, 3, 6, 2, 2], [v < -2^(1/2)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576
], [0, 0], [-2615197/1048576, -653799/262144], [-1655969/1048576, -3311937/
2097152]]]], [[1, 3, 6, 2, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0,
0], [-2615197/1048576, -653799/262144], [-1/4194304, -1/4194304]]]], [[1, 3, 6
, 2, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y =
-u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [0, 0], [-2615197/1048576, -653799/262144], [51749
/32768, 1655969/1048576]]]], [[1, 3, 6, 2, 5], [v < -2^(1/2), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
2615197/1048576, -653799/262144], [3, 3]]]], [[1, 7, 9, 2, 1], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[1/2, 1/2], [-2104869/1048576, -526217/262144], [-3, -3]]]], [[1, 7, 9, 2, 2],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-\
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [-1287385/
1048576, -160923/131072]]]], [[1, 7, 9, 2, 3], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,
z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [0, 0]]]], [
[1, 7, 9, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1
), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/
262144], [160923/131072, 1287385/1048576]]]], [[1, 7, 9, 2, 5], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[1/2, 1/2], [-2104869/1048576, -526217/262144], [3, 3]]]], [[1, 9, 7, 8, 1], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v
^2-1), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [-22960369/8388608
, -22960369/8388608], [533035/2097152, 533035/2097152], [133259/524288, 266519
/1048576], [0, 0]]]], [[1, 14, 9, 4, 1], [v < -2^(1/2), u = (v^2-1)^(1/2), 1 <
x, y = -x, z < 0], [regular_chain, [[-3, -3], [741455/262144, 2965821/1048576]
, [2, 2], [-2, -2], [-1, -1]]]], [[1, 14, 9, 4, 2], [v < -2^(1/2), u = (v^2-1)
^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [741455/262144, 
2965821/1048576], [2, 2], [-2, -2], [0, 0]]]], [[1, 14, 9, 4, 3], [v < -2^(1/2
), u = (v^2-1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [
741455/262144, 2965821/1048576], [2, 2], [-2, -2], [1, 1]]]], [[1, 17, 1, 1, 1
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3,
-3], [-1, -1], [-3, -3]]]], [[1, 17, 1, 1, 2], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [403851/131072, 403851/131072], [-3, -3], [-1, -1], [-2, -2]]]], [[1, 
17, 1, 1, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y
< 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-3, -3], [-1, -1], [0, 0]]]], [[1, 17, 1, 1, 4
], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-
x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-3, -\
3], [-1, -1], [2, 2]]]], [[1, 17, 1, 1, 5], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3
], [403851/131072, 403851/131072], [-3, -3], [-1, -1], [3, 3]]]], [[1, 20, 9,
3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2,
2], [-7/2, -7/2], [-3, -3]]]], [[1, 20, 9, 3, 2], [v < -2^(1/2), u = (v^2+2)^(
1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [3477733/1048576, 1738867/524288], [2, 2], [-7/2, -7/2], [-1284239/1048576
, -642119/524288]]]], [[1, 20, 9, 3, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 <
x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [-7/2, -7
/2], [0, 0]]]], [[1, 20, 9, 3, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, 
And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/
1048576]]]], [[1, 20, 9, 3, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(-
x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [2, 2], [-7/2, -7/2], [3, 3]]]], [[2, 1, 5, 9, 1], [
v = -2^(1/2), u < -2, And(-1 < x,x < 0), u^2-x-3 < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [-1/2, -1/2], [8, 8], [0, 0]]]]
, [[2, 10, 7, 1, 1], [v = -2^(1/2), u = 0, And(0 < x,x < 1), y < -x-3, z < -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2
, 1/2], [-5, -5], [-4, -4]]]], [[2, 10, 7, 1, 2], [v = -2^(1/2), u = 0, And(0
< x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/
1048576]]]], [[2, 10, 7, 1, 3], [v = -2^(1/2), u = 0, And(0 < x,x < 1), y < -x
-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [1/2, 1/2], [-5, -5], [0, 0]]]], [[2, 10, 7,
1, 4], [v = -2^(1/2), u = 0, And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-5, -\
5], [2224365/1048576, 1112183/524288]]]], [[2, 10, 7, 1, 5], [v = -2^(1/2), u
= 0, And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [0, 0], [1/2, 1/2], [-5, -5], [4, 4]]]], [[2, 12, 4
, 6, 1], [v = -2^(1/2), u = 1, x = -1, y = 1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1, 1], [-1, -1]]]], [[2,
12, 4, 6, 2], [v = -2^(1/2), u = 1, x = -1, y = 1, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1, 1], [0, 0]]]], [[2, 12
, 4, 6, 3], [v = -2^(1/2), u = 1, x = -1, y = 1, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-1, -1], [1, 1], [1, 1]]]], [[2, 16
, 8, 3, 1], [v = -2^(1/2), u = 3^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288,
1816187/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[2, 16, 8, 3, 2], [v = -2^(1
/2), u = 3^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1, 1], [-2, -2], [-1, -1]]]], [[2, 16, 8, 3, 3], [v = -2^(1/2), u =
3^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [1, 1], [-2, -2], [0, 0]]]], [[2, 16, 8, 3, 4], [v = -2^(1/2), u = 3
^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [1, 1], [-\
2, -2], [1, 1]]]], [[2, 16, 8, 3, 5], [v = -2^(1/2), u = 3^(1/2), x = 1, And(-\
3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [1, 1], [-2, -2], [2, 2]]]], [[2, 
18, 5, 4, 1], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -1/2], [
0, 0], [-2, -2]]]], [[2, 18, 5, 4, 2], [v = -2^(1/2), u = 2, And(-1 < x,x < 0)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 
18, 5, 4, 3], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 18, 5, 4, 4], [v = -2^(1/2), u = 2,
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]
], [[2, 18, 5, 4, 5], [v = -2^(1/2), u = 2, And(-1 < x,x < 0), y = 0, (-x)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1/2, -\
1/2], [0, 0], [2, 2]]]], [[3, 4, 6, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0]
, [-1, -1], [-2, -2]]]], [[3, 4, 6, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [0, 0]
, [-1, -1], [-1, -1]]]], [[3, 4, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [-1, -1], [0, 0]]]], [[3, 4, 6, 3, 4], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [-1, -1], [1, 1]]]], [[3, 4, 6, 3, 5], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [0, 0], [-1, -1], [2, 2]]]], [[3, 6, 5, 2, 1], [And(-2^(1/2)
< v,v < -1), u = v, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [-3/2, -3/2], [-2, -2]]]], [[3, 6, 5, 2, 2], [And(-2^(1/2) < v,v < -1)
, u = v, And(0 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2],
[-3/2, -3/2], [-1, -1]]]], [[3, 6, 5, 2, 3], [And(-2^(1/2) < v,v < -1), u = v,
And(0 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2],
[-3/2, -3/2], [0, 0]]]], [[3, 6, 5, 2, 4], [And(-2^(1/2) < v,v < -1), u = v, 
And(0 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3/2, -3/
2], [1, 1]]]], [[3, 6, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u = v, And(0 < x,x
< 1), y = -1-x, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[3
, 10, 8, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = -1, z
< 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[3, 10, 8, 4, 2], [And(-2^(1/
2) < v,v < -1), u = (v^2-1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [1, 1], [
-1, -1], [0, 0]]]], [[3, 10, 8, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^
(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [1, 1], [-1, -1], [1, 1]]]], [[3, 
12, 7, 1, 1], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y < -1-x, z < -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-4, -4], [-3, -3]]]], [[3, 12, 7, 1, 2], [
And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[3
, 12, 7, 1, 3], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y < -1-x, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [2, 2], [-4, -4], [0, 0]]]], [[3
, 12, 7, 1, 4], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y < -1-x, z = (-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]
]], [[3, 12, 7, 1, 5], [And(-2^(1/2) < v,v < -1), u = -v, 1 < x, y < -1-x, (-x
-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [2, 2], [-4, -4], [3, 3]]]], [[3, 14, 7, 5,
1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x < y
,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3, 16,
4, 8, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y = 2, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [2, 2], [0, 0]]]], [[4, 3, 2, 3, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = -u^2, And(0 < y,y < u^2), z < -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-2594959/
1048576, -1297479/524288], [1297479/1048576, 1297479/1048576], [-3, -3]]]], [[
4, 3, 2, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(0 < y,y
< u^2), z = -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-2594959/1048576, -1297479/524288], [1297479/1048576, 
1297479/1048576], [-145801/131072, -1166407/1048576]]]], [[4, 3, 2, 3, 3], [v
= -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(0 < y,y < u^2), And(-(u^2-
y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304
, -6598195/4194304], [-2594959/1048576, -1297479/524288], [1297479/1048576, 
1297479/1048576], [0, 0]]]], [[4, 3, 2, 3, 4], [v = -1, And(-3^(1/2) < u,u < -
2^(1/2)), x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)], [regular_chain, [[
-1, -1], [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/
524288], [1297479/1048576, 1297479/1048576], [1166407/1048576, 145801/131072]]
]], [[4, 3, 2, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(0
< y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304
, -6598195/4194304], [-2594959/1048576, -1297479/524288], [1297479/1048576, 
1297479/1048576], [3, 3]]]], [[4, 5, 1, 2, 1], [v = -1, And(-2^(1/2) < u,u < -\
1), x < -u^2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[4, 5, 1, 2, 2], [
v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [0,
0], [-1816187/1048576, -3632373/2097152]]]], [[4, 5, 1, 2, 3], [v = -1, And(-2
^(1/2) < u,u < -1), x < -u^2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [0,
0], [-1/4194304, -1/4194304]]]], [[4, 5, 1, 2, 4], [v = -1, And(-2^(1/2) < u,u
< -1), x < -u^2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]
]]], [[4, 5, 1, 2, 5], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = 0, (-x
)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-3, -3], [0, 0], [3, 3]]]], [[4, 10, 7, 6, 1], [v = -1, u = 1, 1 < x, y = 0,
z = z], [regular_chain, [[-1, -1], [1, 1], [2, 2], [0, 0], [0, 0]]]], [[4, 12,
8, 3, 1], [v = -1, u = 2^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [-2, -2],
[-2, -2]]]], [[4, 12, 8, 3, 2], [v = -1, u = 2^(1/2), x = 1, And(-3 < y,y < -1
), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1, 1], [-2, -2], [-1, -1]]]], [[4, 12, 8, 3, 3], [v = -1, u = 2^(1/
2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1, 1], [-2, -2],
[0, 0]]]], [[4, 12, 8, 3, 4], [v = -1, u = 2^(1/2), x = 1, And(-3 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576]
, [1, 1], [-2, -2], [1, 1]]]], [[4, 12, 8, 3, 5], [v = -1, u = 2^(1/2), x = 1,
And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [1, 1], [-2, -2], [2, 2]]]], [[5, 1, 5, 9, 1], [And(
-1 < v,v < 0), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z],
[regular_chain, [[-1/2, -1/2], [-3, -3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[
5, 3, 3, 1, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [-2, -2], [-3, -3]]]], [[5, 3, 3, 1, 2], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2]
, [-8102461/4194304, -16204921/8388608]]]], [[5, 3, 3, 1, 3], [And(-1 < v,v <
0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
< -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1
/2, -1/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/
1048576], [-2, -2], [-1/16777216, -1/16777216]]]], [[5, 3, 3, 1, 4], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2]
, [2025615/1048576, 126601/65536]]]], [[5, 3, 3, 1, 5], [And(-1 < v,v < 0), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u
^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2], [3, 3]]]], [[
5, 12, 7, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(
-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2
], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[5, 12, 7, 3, 2], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-2, -2], [-1284239/
1048576, -642119/524288]]]], [[5, 12, 7, 3, 3], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [1/2, 1/2], [-2, -2],
[0, 0]]]], [[5, 12, 7, 3, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x
,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2
], [3/2, 3/2], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[5,
12, 7, 3, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-\
3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [
1/2, 1/2], [-2, -2], [3, 3]]]], [[6, 1, 4, 2, 1], [v = 0, u < -2^(1/2), x = -1
, y = -u^2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1],
[-9, -9], [-5, -5]]]], [[6, 1, 4, 2, 2], [v = 0, u < -2^(1/2), x = -1, y = -u^
2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [-9, -9],
[-3315889/1048576, -207243/65536]]]], [[6, 1, 4, 2, 3], [v = 0, u < -2^(1/2),
x = -1, y = -u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain,
[[0, 0], [-3, -3], [-1, -1], [-9, -9], [0, 0]]]], [[6, 1, 4, 2, 4], [v = 0, u
< -2^(1/2), x = -1, y = -u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3
, -3], [-1, -1], [-9, -9], [207243/65536, 3315889/1048576]]]], [[6, 1, 4, 2, 5
], [v = 0, u < -2^(1/2), x = -1, y = -u^2, (u^2+1)^(1/2) < z], [regular_chain,
[[0, 0], [-3, -3], [-1, -1], [-9, -9], [5, 5]]]], [[6, 5, 3, 6, 1], [v = 0, 
And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = u^2-x-1, z < -(-u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/8, 3/8], [-2, -2]]]],
[[6, 5, 3, 6, 2], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = u^2-x
-1, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8],
[3/8, 3/8], [-1816187/2097152, -3632373/4194304]]]], [[6, 5, 3, 6, 3], [v = 0,
And(-1 < u,u < 0), And(-u^2-1 < x,x < -1), y = u^2-x-1, And(-(-u^2+1)^(1/2) <
z,z < (-u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [
3/8, 3/8], [-1/8388608, -1/8388608]]]], [[6, 5, 3, 6, 4], [v = 0, And(-1 < u,u
< 0), And(-u^2-1 < x,x < -1), y = u^2-x-1, z = (-u^2+1)^(1/2)], [regular_chain
, [[0, 0], [-1/2, -1/2], [-9/8, -9/8], [3/8, 3/8], [908093/1048576, 454047/
524288]]]], [[6, 5, 3, 6, 5], [v = 0, And(-1 < u,u < 0), And(-u^2-1 < x,x < -1
), y = u^2-x-1, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-\
9/8, -9/8], [3/8, 3/8], [2, 2]]]], [[6, 7, 4, 1, 1], [v = 0, And(0 < u,u < 1),
x = -1, y < -u^2, z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1,
-1], [-2, -2], [-3, -3]]]], [[6, 7, 4, 1, 2], [v = 0, And(0 < u,u < 1), x = -1
, y < -u^2, z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1],
[-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[6, 7, 4, 1, 3], [v = 0, 
And(0 < u,u < 1), x = -1, y < -u^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[6, 7, 4, 1, 4], [v = 0, And(0 < u,u < 1), x = -1, y < -u^2, z =
(1-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1], [-2, -2], [908093
/524288, 1816187/1048576]]]], [[6, 7, 4, 1, 5], [v = 0, And(0 < u,u < 1), x =
-1, y < -u^2, (1-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-1, -1],
[-2, -2], [3, 3]]]], [[7, 1, 5, 4, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3,
-3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[7, 1, 5, 4, 2], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain,
[[1/2, 1/2], [-3, -3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[7, 1, 5, 4, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2,
1/2], [-3, -3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[7, 1, 5, 4, 4], [And(0 < v,
v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [0, 0], [741455/1048576, 
46341/65536]]]], [[7, 1, 5, 4, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(
-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3],
[-1/2, -1/2], [0, 0], [2, 2]]]], [[7, 3, 2, 3, 1], [And(0 < v,v < 1), And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1),
z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-2583195/1048576, -1291597/524288], [1291597/1048576, 1291597
/1048576], [-3, -3]]]], [[7, 3, 2, 3, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2
-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144
], [-2583195/1048576, -1291597/524288], [1291597/1048576, 1291597/1048576], [-\
1163761/1048576, -72735/65536]]]], [[7, 3, 2, 3, 3], [And(0 < v,v < 1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1)
, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/
2, 1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288]
, [1291597/1048576, 1291597/1048576], [0, 0]]]], [[7, 3, 2, 3, 4], [And(0 < v,
v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,
y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [1291597/
1048576, 1291597/1048576], [72735/65536, 1163761/1048576]]]], [[7, 3, 2, 3, 5]
, [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-\
1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [
1291597/1048576, 1291597/1048576], [3, 3]]]], [[7, 7, 5, 3, 1], [And(0 < v,v <
1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-3/16,
-3/16], [-3, -3]]]], [[7, 7, 5, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16], [-67553/
65536, -1080847/1048576]]]], [[7, 7, 5, 3, 3], [And(0 < v,v < 1), And(-v < u,u
< v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [
-3/16, -3/16], [0, 0]]]], [[7, 7, 5, 3, 4], [And(0 < v,v < 1), And(-v < u,u <
v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16], [1080847/
1048576, 67553/65536]]]], [[7, 7, 5, 3, 5], [And(0 < v,v < 1), And(-v < u,u <
v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [-3/16, -3/16], [3, 3]]]],
[[7, 9, 5, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,
x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [1/2, 1/2], [-2, -2]]]], [[7, 9, 5, 7, 2], [And(0
< v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v
^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [1/2, 1/2], [
-1144335/2097152, -572167/1048576]]]], [[7, 9, 5, 7, 3], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [1/2
, 1/2], [0, 0]]]], [[7, 9, 5, 7, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^
(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [1/2, 1/2], [572167/1048576, 71521/131072]
]]], [[7, 9, 5, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [1/2, 1/2], [2, 2]]]], [[7, 11, 4, 4, 1], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z < -1], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1], [0, 0],
[-2, -2]]]], [[7, 11, 4, 4, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [-1, -1], [0, 0], [-1, -1]]]], [[7, 11, 4, 4, 3], [And
(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, And(-1
< z,z < 1)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1,
-1], [0, 0], [0, 0]]]], [[7, 11, 4, 4, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [-1, -1], [0, 0], [1, 1]]]], [[7, 11, 4, 4, 5]
, [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0,
1 < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1, -1],
[0, 0], [2, 2]]]], [[7, 13, 1, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2]
, [3, 3], [-11, -11], [119/8, 119/8], [0, 0]]]], [[8, 3, 7, 5, 1], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(-x < y,y < 0), z = z],
[regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/1048576
, 248903/1048576], [-248903/2097152, -248903/2097152], [0, 0]]]], [[8, 5, 6, 6
, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -u^2+2, z < 0], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/1048576, 284633/524288], [-1, -1]]]], [[8,
5, 6, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -u^2+2, z = 0],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/1048576, 284633/524288], [0, 0]]]], [[8, 5,
6, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = u^2-2, y = -u^2+2, 0 < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/1048576, 284633/524288], [1, 1]]]], [[8, 11
, 6, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, z < -(-u^
2-y+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
1138531/2097152, -569265/1048576], [-2, -2], [-3, -3]]]], [[8, 11, 6, 1, 2], [
v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, z = -(-u^2-y+2)^(1/2)]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [-2, -2], [-1672107/1048576, -3344213/2097152]]]],
[[8, 11, 6, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, 
And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-2, -\
2], [-1/4194304, -1/4194304]]]], [[8, 11, 6, 1, 4], [v = 1, And(1 < u,u < 2^(1
/2)), x = u^2-2, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-2,
-2], [836053/524288, 1672107/1048576]]]], [[8, 11, 6, 1, 5], [v = 1, And(1 < u
,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, (-u^2-y+2)^(1/2) < z], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/
1048576], [-2, -2], [3, 3]]]], [[8, 13, 5, 4, 1], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[8, 13
, 5, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[8, 13, 5, 4, 3]
, [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[8, 13, 5, 4, 4], [v = 1, And(2^(1
/2) < u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[8, 13, 5, 4, 5], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1
, 1], [3299097/2097152, 3299097/2097152], [-1/2, -1/2], [0, 0], [2, 2]]]], [[9
, 1, 11, 2, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [8, 8], [-8673241/524288, -17346481/1048576], [-4,
-4]]]], [[9, 1, 11, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^
2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [8, 8], [-8673241/524288, -17346481/
1048576], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 11, 2, 3], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [8, 8], [-8673241/524288, -17346481/1048576], [-7/
16777216, -7/16777216]]]], [[9, 1, 11, 2, 4], [And(1 < v,v < 2^(1/2)), u < -(v
^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [-\
8673241/524288, -17346481/1048576], [3064801/1048576, 1532401/524288]]]], [[9,
1, 11, 2, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y =
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [8, 8], [-8673241/524288, -17346481/1048576], [4,
4]]]], [[9, 3, 8, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [501965/1048576, 250983/524288], [-501965/2097152, -501965/
2097152], [0, 0]]]], [[9, 13, 5, 5, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z < -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [122559/
1048576, 122559/1048576], [-2, -2]]]], [[9, 13, 5, 5, 2], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^
2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [122559/1048576, 122559/1048576], [-3379881/4194304, -422485/524288]
]]], [[9, 13, 5, 5, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [
122559/1048576, 122559/1048576], [0, 0]]]], [[9, 13, 5, 5, 4], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y
< u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [122559/1048576, 122559/1048576], [422485/524288, 844971/1048576]]]]
, [[9, 13, 5, 5, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 
And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3213833/4194304, -3213833/4194304], [122559/1048576, 122559/
1048576], [2, 2]]]], [[9, 15, 4, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [
1550541/1048576, 775271/524288], [0, 0]]]], [[10, 1, 10, 4, 1], [v = 2^(1/2),
u < -2, x = u^2-3, y = -u^2+3, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [6, 6], [-6, -6], [-1, -1]]]], [[10, 1, 10, 4, 2],
[v = 2^(1/2), u < -2, x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [6, 6], [-6, -6], [0, 0]]]], [[10, 1, 10,
4, 3], [v = 2^(1/2), u < -2, x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [6, 6], [-6, -6], [1, 1]]]], [[10,
3, 7, 9, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(0 < x,x < u^2-3), u^2
-x-3 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339
/2097152, -3913339/2097152], [505467/2097152, 505467/2097152], [2, 2], [0, 0]]
]], [[10, 9, 5, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y =
-x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [
-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10, 9, 5, 6, 2], [v = 2^(1/2), And(-1
< u,u < 0), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288
, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[10, 9
, 5, 6, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = -x, 0 < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2
], [1/2, 1/2], [1, 1]]]], [[10, 11, 3, 2, 1], [v = 2^(1/2), And(0 < u,u < 1),
And(u^2-3 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [-7/8, -7/8], [-3
, -3]]]], [[10, 11, 3, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), And(u^2-3 < x,x
< -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-15/8, -15/8], [-7/8, -7/8], [-1738867/1048576,
-3477733/2097152]]]], [[10, 11, 3, 2, 3], [v = 2^(1/2), And(0 < u,u < 1), And(
u^2-3 < x,x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8],
[-7/8, -7/8], [-1/4194304, -1/4194304]]]], [[10, 11, 3, 2, 4], [v = 2^(1/2), 
And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15/8],
[-7/8, -7/8], [869433/524288, 1738867/1048576]]]], [[10, 11, 3, 2, 5], [v = 2^
(1/2), And(0 < u,u < 1), And(u^2-3 < x,x < -1), y = u^2-x-3, (-u^2+3)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-15/8, -15
/8], [-7/8, -7/8], [3, 3]]]], [[10, 15, 5, 3, 1], [v = 2^(1/2), And(v < u,u <
3^(1/2)), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-186677/524288, -186677/
524288], [-3, -3]]]], [[10, 15, 5, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2))
, And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3198693/4194304, -3198693/4194304], [-186677/524288, -186677/
524288], [-554529/524288, -1109057/1048576]]]], [[10, 15, 5, 3, 3], [v = 2^(1/
2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(-u^2-x+1 < y,y < 0), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -\
3198693/4194304], [-186677/524288, -186677/524288], [0, 0]]]], [[10, 15, 5, 3,
4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^2-3), And(-u^2-x+1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3198693/4194304, -3198693/
4194304], [-186677/524288, -186677/524288], [1109057/1048576, 554529/524288]]]
], [[10, 15, 5, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-1 < x,x < u^
2-3), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3198693/
4194304, -3198693/4194304], [-186677/524288, -186677/524288], [3, 3]]]], [[10,
17, 4, 6, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = 1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-1, -1], [1, 1], [-1, -1]]]], [[10, 17, 4, 6, 2], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x = -1, y = 1, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-1, -1], [1, 1], [0, 0]
]]], [[10, 17, 4, 6, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -1, y = 1,
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-1, -1], [1, 1], [1, 1]]]], [[10, 19, 1, 1, 1], [v = 2^(1/2
), 2 < u, x < -u^2+1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-9, -9], [-1, -1], [-5, -5]]]], [[10, 19, 1
, 1, 2], [v = 2^(1/2), 2 < u, x < -u^2+1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [-1, -1],
[-3315889/1048576, -207243/65536]]]], [[10, 19, 1, 1, 3], [v = 2^(1/2), 2 < u,
x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [-1, -1], [0, 0]]]], [[10,
19, 1, 1, 4], [v = 2^(1/2), 2 < u, x < -u^2+1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9, -9], [-1, -1],
[207243/65536, 3315889/1048576]]]], [[10, 19, 1, 1, 5], [v = 2^(1/2), 2 < u, x
< -u^2+1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9, -9], [-1, -1], [5, 5]]]], [[11, 1, 7, 4, 1], [2^(1/2) <
v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3,
3], [-5, -5], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 1, 7, 4, 2], [2^(1/
2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain,
[[3, 3], [-5, -5], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[11, 1, 7, 4, 3], [2^
(1/2) < v, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[3, 3], [-5, -5], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 5
, 6, 2, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -\
2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [-531193/1048576, -1062385/2097152], [-66225059/67108864, -\
33112529/33554432], [-3, -3]]]], [[11, 5, 6, 2, 2], [2^(1/2) < v, And(-(v^2+1)
^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [-66225059/67108864, -33112529/33554432], [-1281417/1048576,
-160177/131072]]]], [[11, 5, 6, 2, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
531193/1048576, -1062385/2097152], [-66225059/67108864, -33112529/33554432], [
0, 0]]]], [[11, 5, 6, 2, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x =
u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-\
66225059/67108864, -33112529/33554432], [160177/131072, 1281417/1048576]]]], [
[11, 5, 6, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1,
y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [-66225059/
67108864, -33112529/33554432], [3, 3]]]], [[11, 7, 7, 3, 1], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y
< -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/
2097152, -1580581/2097152], [-2, -2]]]], [[11, 7, 7, 3, 2], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/2097152, -\
1580581/2097152], [-1, -1]]]], [[11, 7, 7, 3, 3], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x
-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-\
1580581/2097152, -1580581/2097152], [0, 0]]]], [[11, 7, 7, 3, 4], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/
2097152, -1580581/2097152], [1, 1]]]], [[11, 7, 7, 3, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u
^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/2097152, -\
1580581/2097152], [2, 2]]]], [[11, 12, 8, 2, 1], [2^(1/2) < v, u = (v^2-2)^(1/
2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[3, 3], [2774271/1048576, 
10837/4096], [1, 1], [-4, -4], [-3, -3]]]], [[11, 12, 8, 2, 2], [2^(1/2) < v,
u = (v^2-2)^(1/2), x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[3, 3], [
2774271/1048576, 10837/4096], [1, 1], [-4, -4], [-1816187/1048576, -3632373/
2097152]]]], [[11, 12, 8, 2, 3], [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, y = -\
4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [2774271/1048576,
10837/4096], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[11, 12, 8, 2, 4]
, [2^(1/2) < v, u = (v^2-2)^(1/2), x = 1, y = -4, z = 3^(1/2)], [regular_chain
, [[3, 3], [2774271/1048576, 10837/4096], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[11, 12, 8, 2, 5], [2^(1/2) < v, u = (v^2-2)^(1/2), x =
1, y = -4, 3^(1/2) < z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096
], [1, 1], [-4, -4], [3, 3]]]], [[11, 14, 7, 1, 1], [2^(1/2) < v, u = (v^2-1)^
(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[11, 
14, 7, 1, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1/
2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[11, 14, 7, 1, 3],
[2^(1/2) < v, u = (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[11, 14, 7, 1, 4], [2^(1/2) < v, u
= (v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain
, [[3, 3], [741455/262144, 2965821/1048576], [1/2, 1/2], [-4, -4], [980853/
524288, 1961707/1048576]]]], [[11, 14, 7, 1, 5], [2^(1/2) < v, u = (v^2-1)^(1/
2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[11, 19, 1,
1, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1,
y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[11, 19, 1, 1, 2], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(
1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4],
[-1, -1], [-146543/65536, -2344687/1048576]]]], [[11, 19, 1, 1, 3], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-4, -4], [-1, -1], [0, 0]]]], [[11, 19, 1, 1, 4], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-
y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -\
4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[11, 19, 1, 1, 5], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(
1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -\
4], [-1, -1], [4, 4]]]], [[11, 20, 7, 4, 1], [2^(1/2) < v, u = (v^2+2)^(1/2),
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 20, 7, 4, 2], [2
^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[11, 20, 7, 4, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 5, 5, 1, 1], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z
< -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-1579769/2097152, -1579769/2097152], [-2, -2], [-3, -3]]]], [[1, 5, 5, 1, 2],
[v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -
u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [-3479815/
2097152, -1739907/1048576]]]], [[1, 5, 5, 1, 3], [v < -2^(1/2), And(-(v^2+1)^(
1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [0, 0]]]], [[1, 5, 5,
1, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1)
, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [
1739907/1048576, 434977/262144]]]], [[1, 5, 5, 1, 5], [v < -2^(1/2), And(-(v^2
+1)^(1/2) < u,u < v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1579769
/2097152, -1579769/2097152], [-2, -2], [3, 3]]]], [[1, 7, 5, 5, 1], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y <
-u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576,
133001/1048576], [-2, -2]]]], [[1, 7, 5, 5, 2], [v < -2^(1/2), And(v < u,u < -
(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = -
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-391287/524288, -391287/524288], [133001/1048576, 133001/1048576], [-103163
/131072, -3301215/4194304]]]], [[1, 7, 5, 5, 3], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576,
133001/1048576], [-3/8388608, -3/8388608]]]], [[1, 7, 5, 5, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+
v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576, 133001/
1048576], [825303/1048576, 103163/131072]]]], [[1, 7, 5, 5, 5], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+
v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576, 133001/
1048576], [2, 2]]]], [[1, 11, 4, 7, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x = -1, And(1 < y,y < -u^2+v^2), z = z], [regular_chain, [
[-3, -3], [0, 0], [-1, -1], [5, 5], [0, 0]]]], [[1, 13, 1, 6, 1], [v < -2^(1/2
), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [
regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [4, 4],
[-1, -1]]]], [[1, 13, 1, 6, 2], [v < -2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [1435023/
524288, 1435023/524288], [-4, -4], [4, 4], [0, 0]]]], [[1, 13, 1, 6, 3], [v <
-2^(1/2), And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, 0 <
z], [regular_chain, [[-3, -3], [1435023/524288, 1435023/524288], [-4, -4], [4,
4], [1, 1]]]], [[1, 18, 8, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, And
(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 20, 5, 6, 1], [v < -2^(1/2), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[1,
20, 5, 6, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z =
0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2]
, [1/2, 1/2], [0, 0]]]], [[1, 20, 5, 6, 3], [v < -2^(1/2), u = (v^2+2)^(1/2),
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [3477733/1048576
, 1738867/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 3, 3, 1, 1], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339
/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [
-3, -3]]]], [[2, 3, 3, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^
2+1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [-2, -2], [-4056255/2097152, -16225019/8388608]]]]
, [[2, 3, 3, 1, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x
< -1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-2, -2], [-3/16777216, -3/16777216]]]], [
[2, 3, 3, 1, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -\
1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-2, -2], [2028127/1048576, 63379/32768]]]], [[2, 3, 3, 1, 5
], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y < -u^2-x
+1, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-2,
-2], [3, 3]]]], [[2, 5, 1, 7, 1], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x <
-u^2+1, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -\
3], [5740687/2097152, 5740687/2097152], [-2, -2]]]], [[2, 5, 1, 7, 2], [v = -2
^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(u^2-x-3 < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-6598195/
4194304, -6598195/4194304], [-3, -3], [5740687/2097152, 5740687/2097152], [-\
1074731/2097152, -537365/1048576]]]], [[2, 5, 1, 7, 3], [v = -2^(1/2), And(-3^
(1/2) < u,u < v), x < -u^2+1, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
6598195/4194304, -6598195/4194304], [-3, -3], [5740687/2097152, 5740687/
2097152], [0, 0]]]], [[2, 5, 1, 7, 4], [v = -2^(1/2), And(-3^(1/2) < u,u < v),
x < -u^2+1, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-6598195/4194304, -6598195/4194304], [-3, -\
3], [5740687/2097152, 5740687/2097152], [537365/1048576, 268683/524288]]]], [[
2, 5, 1, 7, 5], [v = -2^(1/2), And(-3^(1/2) < u,u < v), x < -u^2+1, And(u^2-x-\
3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-6598195/4194304, -6598195/4194304], [-3, -3], [5740687/2097152, 
5740687/2097152], [2, 2]]]], [[2, 7, 2, 3, 1], [v = -2^(1/2), And(v < u,u < -1
), x = u^2-3, And(0 < y,y < -2*u^2+4), z < -(-u^2-y+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [569265/1048576, 569265/1048576], [-3, -3]
]]], [[2, 7, 2, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(0 < y,
y < -2*u^2+4), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [569265/1048576, 569265/1048576], [-1048577/1048576, -1]]]],
[[2, 7, 2, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(0 < y,y < -\
2*u^2+4), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [569265/1048576, 569265/1048576], [0, 0]]]
], [[2, 7, 2, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(0 < y,y
< -2*u^2+4), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [569265/1048576, 569265/1048576], [1, 1048577/1048576]]]], [
[2, 7, 2, 3, 5], [v = -2^(1/2), And(v < u,u < -1), x = u^2-3, And(0 < y,y < -2
*u^2+4), (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-3235683/2097152, -1617841/
1048576], [569265/1048576, 569265/1048576], [3, 3]]]], [[2, 9, 1, 2, 1], [v =
-2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [0
, 0], [-3, -3]]]], [[2, 9, 1, 2, 2], [v = -2^(1/2), And(-1 < u,u < 0), x < u^2
-3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-4, -4], [0, 0], [-2, -2]]]], [[2, 9, 1, 2, 3], [v = -
2^(1/2), And(-1 < u,u < 0), x < u^2-3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4,
-4], [0, 0], [0, 0]]]], [[2, 9, 1, 2, 4], [v = -2^(1/2), And(-1 < u,u < 0), x
< u^2-3, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-4, -4], [0, 0], [2, 2]]]], [[2, 9, 1, 2, 5], [v = -2^
(1/2), And(-1 < u,u < 0), x < u^2-3, y = 0, (-x)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-4, -4], [0, 0], [3, 3]]]],
[[2, 12, 9, 2, 1], [v = -2^(1/2), u = 1, 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-4, -4],
[-3, -3]]]], [[2, 12, 9, 2, 2], [v = -2^(1/2), u = 1, 1 < x, y = -x-2, z = -2^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [
-4, -4], [-1482911/1048576, -741455/524288]]]], [[2, 12, 9, 2, 3], [v = -2^(1/
2), u = 1, 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-4, -4], [0, 0]]]], [[2, 
12, 9, 2, 4], [v = -2^(1/2), u = 1, 1 < x, y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-4, -4],
[741455/524288, 1482911/1048576]]]], [[2, 12, 9, 2, 5], [v = -2^(1/2), u = 1,
1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [2, 2], [-4, -4], [3, 3]]]], [[2, 14, 7, 6, 1], [v = -2^(1/2)
, u = -v, 1 < x, y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [2, 2], [0, 0], [0, 0]]]], [[3, 1,
2, 4, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u
^2-v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-4478937/524288, -8957873/1048576], [8957873/1048576, 4478937/524288], [
-1, -1]]]], [[3, 1, 2, 4, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x
= -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [8957873/
1048576, 4478937/524288], [0, 0]]]], [[3, 1, 2, 4, 3], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [8957873/1048576, 4478937/524288], [1, 1]]]], [[3, 2, 8, 3, 1], [And
(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y
-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[3, 2, 8, 3, 2
], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z
= -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1, 1], [-5/2, -5/2], [-1284239/1048576, -\
642119/524288]]]], [[3, 2, 8, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(
1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1, 1], [-5/2, -5/2], [0, 0]]]], [[3, 2, 8, 3, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152
, -7798593/4194304], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]]
, [[3, 2, 8, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 1, And(
-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1, 1], [-5/2, -5/2],
[3, 3]]]], [[3, 7, 2, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)
^(1/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [-1, -1], [-3, -3]]]], [[3, 7, 2, 1, 2], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0,
z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/
1048576], [-1, -1], [-3362313/2097152, -420289/262144]]]], [[3, 7, 2, 1, 3], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0,
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [-1, -1], [0, 0]]]], [[3, 7, 2, 1, 4], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0,
z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/
1048576], [-1, -1], [420289/262144, 1681157/1048576]]]], [[3, 7, 2, 1, 5], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0,
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/
1048576], [-1, -1], [3, 3]]]], [[3, 8, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u
= -(v^2-1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [2, 2], [1, 1], [0, 0]]]
], [[4, 1, 1, 7, 1], [v = -1, u < -3^(1/2), x < -u^2, And(-x < y,y < u^2-x-2),
z = z], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [27/2, 27/2], [0, 0]]
]], [[4, 2, 7, 6, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y = 0, z = z],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [
0, 0], [0, 0]]]], [[4, 7, 1, 6, 1], [v = -1, And(-1 < u,u < 0), x < u^2-2, y =
-u^2-x, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [11/4, 11/4
], [-2, -2]]]], [[4, 7, 1, 6, 2], [v = -1, And(-1 < u,u < 0), x < u^2-2, y = -
u^2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3], [11/4, 11/4]
, [-1/2, -1/2]]]], [[4, 7, 1, 6, 3], [v = -1, And(-1 < u,u < 0), x < u^2-2, y
= -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3
], [11/4, 11/4], [0, 0]]]], [[4, 7, 1, 6, 4], [v = -1, And(-1 < u,u < 0), x <
u^2-2, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3],
[11/4, 11/4], [1/2, 1/2]]]], [[4, 7, 1, 6, 5], [v = -1, And(-1 < u,u < 0), x <
u^2-2, y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-3, -3],
[11/4, 11/4], [2, 2]]]], [[4, 8, 9, 3, 1], [v = -1, u = 0, 1 < x, And(-x-2 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-3,
-3], [-2, -2]]]], [[4, 8, 9, 3, 2], [v = -1, u = 0, 1 < x, And(-x-2 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-3, -3], [-\
1, -1]]]], [[4, 8, 9, 3, 3], [v = -1, u = 0, 1 < x, And(-x-2 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [2, 2
], [-3, -3], [0, 0]]]], [[4, 8, 9, 3, 4], [v = -1, u = 0, 1 < x, And(-x-2 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-3, -3
], [1, 1]]]], [[4, 8, 9, 3, 5], [v = -1, u = 0, 1 < x, And(-x-2 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [2, 2], [-3, -3], [2, 2]]
]], [[4, 14, 5, 4, 1], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y = 0, z < -(-
x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [0, 0], [-2, -2]]]], [[4, 14, 5, 4, 2], [v = -1, u = 3^(1/2), And(-1 <
x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]]
, [[4, 14, 5, 4, 3], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)
^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 14, 5, 4, 4], [v = -1,
u = 3^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [-1/2, -1/2], [0, 0], [741455/1048576,
46341/65536]]]], [[4, 14, 5, 4, 5], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y
= 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[5, 1, 2, 3, 1], [And(-1 < v,v < 0
), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2
-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [39/8,
39/8], [-4, -4]]]], [[5, 1, 2, 3, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [39/8, 39/8], [-\
1157597/524288, -2315193/1048576]]]], [[5, 1, 2, 3, 3], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)
^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3],
[-39/4, -39/4], [39/8, 39/8], [0, 0]]]], [[5, 1, 2, 3, 4], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [39/8, 39/8
], [2315193/1048576, 1157597/524288]]]], [[5, 1, 2, 3, 5], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [39/8, 39/8
], [4, 4]]]], [[5, 5, 1, 7, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[2833519/1048576, 2833519/1048576], [-2, -2]]]], [[5, 5, 1, 7, 2], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [-572167/
1048576, -1144333/2097152]]]], [[5, 5, 1, 7, 3], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [-1/
4194304, -1/4194304]]]], [[5, 5, 1, 7, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1
/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-3, -3
], [2833519/1048576, 2833519/1048576], [286083/524288, 572167/1048576]]]], [[5
, 5, 1, 7, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2
-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2833519/1048576, 2833519
/1048576], [2, 2]]]], [[5, 7, 2, 2, 1], [And(-1 < v,v < 0), And(v < u,u < -v),
x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[0, 0], [-5/4, -5/4], [0, 0], [-3, -3]]]], [[5, 7, 2, 2, 2], [And(-1 < v,v < 0
), And(v < u,u < -v), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [0, 0], [-146543/131072, -\
1172343/1048576]]]], [[5, 7, 2, 2, 3], [And(-1 < v,v < 0), And(v < u,u < -v),
x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [0, 0], [0, 0]]]], [[5, 7,
2, 2, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x = u^2-v^2-1, y = 0, z = (-u
^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-5/4, -5/4], [0, 0],
[1172343/1048576, 146543/131072]]]], [[5, 7, 2, 2, 5], [And(-1 < v,v < 0), And
(v < u,u < -v), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [0, 0], [-5/4, -5/4], [0, 0], [3, 3]]]], [[5, 9, 2, 5, 1], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2
< y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [
290131/262144, 290131/262144], [-2, -2]]]], [[5, 9, 2, 5, 2], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2
-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [290131/262144,
290131/262144], [-1144335/2097152, -572167/1048576]]]], [[5, 9, 2, 5, 3], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2
< y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [290131/262144, 290131/262144], [0, 0]]]], [[5, 9,
2, 5, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, 
And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [290131/262144, 290131/262144], [572167/1048576, 71521/131072]]]], [
[5, 9, 2, 5, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v
^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [290131/262144, 290131/262144], [2, 2]]]], [[5, 11,
1, 4, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u
^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [343151/262144, 343151/262144], [-4, -4], [1611109/1048576, 805555/
524288], [-3, -3]]]], [[5, 11, 1, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4],
[1611109/1048576, 805555/524288], [-3291611/2097152, -1645805/1048576]]]], [[5
, 11, 1, 4, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(
1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4
], [1611109/1048576, 805555/524288], [0, 0]]]], [[5, 11, 1, 4, 4], [And(-1 < v
,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^
2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [-4, -4], [1611109/1048576, 805555/524288], [1645805/1048576,
822903/524288]]]], [[5, 11, 1, 4, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-4, -4], [
1611109/1048576, 805555/524288], [3, 3]]]], [[6, 1, 7, 8, 1], [v = 0, u < -2^(
1/2), And(0 < x,x < 1), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [-3, -3]
, [1/2, 1/2], [15/2, 15/2], [0, 0]]]], [[6, 3, 4, 7, 1], [v = 0, And(-2^(1/2)
< u,u < -1), x = -1, And(1 < y,y < u^2), z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1288231/1048576, 1288231/
1048576], [0, 0]]]], [[6, 9, 2, 6, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -u^
2-1, y = 2*u^2, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-2576463/1048576, -1288231/524288], [3055773/1048576, 1527887/
524288], [0, 0]]]], [[6, 10, 8, 5, 1], [v = 0, u = 2^(1/2), x = 1, And(-1 < y,
y < 0), z = z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1,
1], [-1/2, -1/2], [0, 0]]]], [[7, 3, 5, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [2
, 2], [0, 0]]]], [[7, 5, 4, 8, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), x = -1, y = 1, z < 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-1, -1], [1, 1], [-1, -1]]]], [[7, 5, 4, 8, 2], [And(0 < v
,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 1, z = 0], [regular_chain
, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [1, 1], [0, 0]]
]], [[7, 5, 4, 8, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -\
1, y = 1, 0 < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [1, 1], [1, 1]]]], [[8, 1, 7, 2, 1], [v = 1, u < -3^(1/2),
And(0 < x,x < 1), y = -u^2-x, z < u], [regular_chain, [[1, 1], [-3, -3], [1/2,
1/2], [-19/2, -19/2], [-4, -4]]]], [[8, 1, 7, 2, 2], [v = 1, u < -3^(1/2), And
(0 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[1, 1], [-3, -3], [1/2, 1/
2], [-19/2, -19/2], [-3, -3]]]], [[8, 1, 7, 2, 3], [v = 1, u < -3^(1/2), And(0
< x,x < 1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-3, -3],
[1/2, 1/2], [-19/2, -19/2], [0, 0]]]], [[8, 1, 7, 2, 4], [v = 1, u < -3^(1/2),
And(0 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-3, -3], [1/2
, 1/2], [-19/2, -19/2], [3, 3]]]], [[8, 1, 7, 2, 5], [v = 1, u < -3^(1/2), And
(0 < x,x < 1), y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-3, -3], [1/2, 1
/2], [-19/2, -19/2], [4, 4]]]], [[8, 3, 4, 5, 1], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1
], [-6598195/4194304, -6598195/4194304], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[
8, 3, 4, 5, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y <
1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[8, 3
, 4, 5, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < 1),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 3, 4, 5, 4],
[v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1
/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1],
[1/2, 1/2], [741455/1048576, 46341/65536]]]], [[8, 3, 4, 5, 5], [v = 1, And(-3
^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [1/2,
1/2], [2, 2]]]], [[8, 7, 6, 6, 1], [v = 1, And(-1 < u,u < 0), x = -u^2, y = u^
2, z < 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/4, 1/4], [-\
1, -1]]]], [[8, 7, 6, 6, 2], [v = 1, And(-1 < u,u < 0), x = -u^2, y = u^2, z =
0], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/4, 1/4], [0, 0]]]]
, [[8, 7, 6, 6, 3], [v = 1, And(-1 < u,u < 0), x = -u^2, y = u^2, 0 < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1/4, -1/4], [1/4, 1/4], [1, 1]]]], [[8
, 9, 5, 9, 1], [v = 1, And(0 < u,u < 1), And(-1 < x,x < -u^2), -x < y, z = z],
[regular_chain, [[1, 1], [1/2, 1/2], [-5/8, -5/8], [2, 2], [0, 0]]]], [[8, 15,
1, 8, 1], [v = 1, 3^(1/2) < u, x < -u^2, y = u^2-x-2, z = z], [regular_chain,
[[1, 1], [3, 3], [-10, -10], [17, 17], [0, 0]]]], [[9, 1, 8, 2, 1], [And(1 < v
,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [-4, -4]]]], [[9, 1, 8, 2, 2], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [
-20012899/2097152, -10006449/1048576], [-1532401/524288, -24518415/8388608]]]]
, [[9, 1, 8, 2, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y = -u
^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [-7/16777216, -7/16777216]]]], [[9, 1, 8, 2, 4], [And(1 < v
,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [3064801/1048576, 1532401/524288]]]], [[
9, 1, 8, 2, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v
^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1, 1], [-20012899/2097152, -10006449/1048576], [4, 4]]]],
[[9, 5, 6, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x =
u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1116679/2097152, -558339/
1048576], [2, 2], [0, 0]]]], [[9, 7, 7, 8, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [225185/1048576, 225185/
1048576], [-1, -1]]]], [[9, 7, 7, 8, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [225185/1048576, 225185/1048576], [0, 0]]]],
[[9, 7, 7, 8, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -\
225185/1048576], [225185/1048576, 225185/1048576], [1, 1]]]], [[9, 9, 6, 2, 1]
, [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y
= u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [-2576463/1048576, -1288231/524288], [-3, -3
]]]], [[9, 9, 6, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-2576463/1048576, -\
1288231/524288], [-410915/262144, -3287319/2097152]]]], [[9, 9, 6, 2, 3], [And
(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2
-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-2576463/1048576, -\
1288231/524288], [-1/4194304, -1/4194304]]]], [[9, 9, 6, 2, 4], [And(1 < v,v <
2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [0, 0], [-2576463/1048576, -1288231/524288], [1643659/1048576, 410915/
262144]]]], [[9, 9, 6, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,
u < (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-2576463/
1048576, -1288231/524288], [3, 3]]]], [[9, 11, 5, 5, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u
^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[149551/1048576, 149551/1048576], [-2, -2]]]], [[9, 11, 5, 5, 2], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 <
y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/
524288], [149551/1048576, 149551/1048576], [-3172545/4194304, -49571/65536]]]]
, [[9, 11, 5, 5, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), 
And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-374737/524288, -374737/524288], [149551/
1048576, 149551/1048576], [0, 0]]]], [[9, 11, 5, 5, 4], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^
2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-374737/524288, -374737/524288],
[149551/1048576, 149551/1048576], [49571/65536, 793137/1048576]]]], [[9, 11, 5
, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-1 < x,x <
-u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-374737
/524288, -374737/524288], [149551/1048576, 149551/1048576], [2, 2]]]], [[9, 15
, 7, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(0 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/2097152, 
501965/2097152], [125491/524288, 250983/1048576], [0, 0]]]], [[9, 17, 5, 2, 1]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-
x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576], [-4, -4]]
]], [[9, 17, 5, 2, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,
x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-4216793/524288, -8433585/
1048576], [-1532401/524288, -24518415/8388608]]]], [[9, 17, 5, 2, 3], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-4216793/524288, -8433585/
1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 5, 2, 4], [And(1 < v,v < 2^(
1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -\
1/2], [-4216793/524288, -8433585/1048576], [3064801/1048576, 1532401/524288]]]
], [[9, 17, 5, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x
< 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [-4216793/524288, -8433585/
1048576], [4, 4]]]], [[10, 5, 6, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = u^2-3, And(-2*u^2+4 < y,y < 0), z < -(-u^2-y+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-3982451/8388608, -3982451/8388608], [-2, -\
2]]]], [[10, 5, 6, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, 
And(-2*u^2+4 < y,y < 0), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-275385/
524288, -1101539/2097152], [-3982451/8388608, -3982451/8388608], [-\
35184371999191/35184372088832, -281474975993527/281474976710656]]]], [[10, 5,
6, 3, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, And(-2*u^2+4 < y,
y < 0), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
275385/524288, -1101539/2097152], [-3982451/8388608, -3982451/8388608], [-\
267718327/562949953421312, -267718327/562949953421312]]]], [[10, 5, 6, 3, 4],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, And(-2*u^2+4 < y,y < 0), z
= (-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [-\
3982451/8388608, -3982451/8388608], [1048575/1048576, 1]]]], [[10, 5, 6, 3, 5]
, [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = u^2-3, And(-2*u^2+4 < y,y < 0),
(-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [-275385/524288, -1101539/2097152], [-\
3982451/8388608, -3982451/8388608], [2, 2]]]], [[10, 7, 7, 4, 1], [v = 2^(1/2)
, And(-v < u,u < -1), And(-u^2+1 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072, -239655/
1048576], [-2, -2]]]], [[10, 7, 7, 4, 2], [v = 2^(1/2), And(-v < u,u < -1), 
And(-u^2+1 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-29957/131072, -239655/1048576], [-1417877/
2097152, -354469/524288]]]], [[10, 7, 7, 4, 3], [v = 2^(1/2), And(-v < u,u < -\
1), And(-u^2+1 < x,x < 0), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072, -239655/
1048576], [0, 0]]]], [[10, 7, 7, 4, 4], [v = 2^(1/2), And(-v < u,u < -1), And(
-u^2+1 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [-29957/131072, -239655/1048576], [354469/524288, 
708939/1048576]]]], [[10, 7, 7, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-
u^2+1 < x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [-29957/131072, -239655/1048576], [2, 2]]]], [[10,
11, 5, 9, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-1 < x,x < 0), -u^2-x+1 < y,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2,
-1/2], [3, 3], [0, 0]]]], [[10, 13, 5, 3, 1], [v = 2^(1/2), And(1 < u,u < v),
And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-3415591/8388608, -3415591/
8388608], [-3, -3]]]], [[10, 13, 5, 3, 2], [v = 2^(1/2), And(1 < u,u < v), And
(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-3415591/8388608, -3415591/
8388608], [-1117471/1048576, -558735/524288]]]], [[10, 13, 5, 3, 3], [v = 2^(1
/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-3415591/8388608, -3415591/8388608], [0, 0]]]], [[10, 13, 5, 3, 4],
[v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0)
, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
3415591/8388608, -3415591/8388608], [558735/524288, 1117471/1048576]]]], [[10,
13, 5, 3, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(u^2-
x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-3415591/8388608, -3415591/8388608], [3, 3]]]], [[11, 3, 3, 8, 1],
[2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [1174965/524288, 2349931/
1048576], [0, 0]]]], [[11, 5, 3, 2, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-64673/262144, -258691/1048576], [-3, -3]]]], [[11, 5, 3,
2, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1
), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-64673/
262144, -258691/1048576], [-1281417/1048576, -160177/131072]]]], [[11, 5, 3, 2
, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1)
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-2614535/2097152, -\
2614535/2097152], [-64673/262144, -258691/1048576], [0, 0]]]], [[11, 5, 3, 2,
4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1),
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-64673/262144,
-258691/1048576], [160177/131072, 1281417/1048576]]]], [[11, 5, 3, 2, 5], [2^(
1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-2614535/2097152, -2614535/2097152], [-64673/262144, -258691/
1048576], [3, 3]]]], [[11, 9, 5, 5, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2],
[1/4, 1/4], [-2, -2]]]], [[11, 9, 5, 5, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/
2], [1/4, 1/4], [-1/2, -1/2]]]], [[11, 9, 5, 5, 3], [2^(1/2) < v, And(-(v^2-1)
^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 9, 5, 5, 4], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And
(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 9, 5, 5,
5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0
), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 11, 3,
1, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1
< x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0,
0], [-11/2, -11/2], [-6, -6], [-5, -5]]]], [[11, 11, 3, 1, 2], [2^(1/2) < v, 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-
v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2],
[-6, -6], [-3555895/1048576, -1777947/524288]]]], [[11, 11, 3, 1, 3], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y <
u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3]
, [0, 0], [-11/2, -11/2], [-6, -6], [0, 0]]]], [[11, 11, 3, 1, 4], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u
^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2]
, [-6, -6], [1777947/524288, 3555895/1048576]]]], [[11, 11, 3, 1, 5], [2^(1/2)
< v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y <
u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-11/2, -11/2
], [-6, -6], [5, 5]]]], [[11, 16, 5, 1, 1], [2^(1/2) < v, u = v, And(0 < x,x <
1), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2],
[-3, -3], [-3, -3]]]], [[11, 16, 5, 1, 2], [2^(1/2) < v, u = v, And(0 < x,x <
1), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2],
[-3, -3], [-3315889/2097152, -207243/131072]]]], [[11, 16, 5, 1, 3], [2^(1/2)
< v, u = v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-3, -3], [0, 0]]]], [[11, 16
, 5, 1, 4], [2^(1/2) < v, u = v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)]
, [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[11, 16, 5, 1, 5], [2^(1/2) < v, u = v, And(0 < x,x < 1)
, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [1/2, 1/2], [-\
3, -3], [3, 3]]]], [[11, 18, 5, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1
< x,x < 0), -x < y, z = z], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1, 5, 8, 4, 1], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [-2, -2]]]], [[1, 5, 8, 4, 2], [v < -2^(1/2), And(
-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [-373161/524288, -1492643/2097152]]]], [[1, 5, 8,
4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [0, 0], [-531193/1048576, -1062385/2097152],
[-1/4194304, -1/4194304]]]], [[1, 5, 8, 4, 4], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-531193/1048576, -\
1062385/2097152], [746321/1048576, 373161/524288]]]], [[1, 5, 8, 4, 5], [v < -
2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/
2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0],
[-531193/1048576, -1062385/2097152], [2, 2]]]], [[1, 7, 5, 1, 1], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-2, -2], [-3, -3]]]], [[1, 7, 5,
1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1
), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-\
1737703/1048576, -3475405/2097152]]]], [[1, 7, 5, 1, 3], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-1/4194304,
-1/4194304]]]], [[1, 7, 5, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2))
, And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-2, -2], [868851/524288, 1737703/1048576]]]], [[1, 7
, 5, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+
v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-2, -2]
, [3, 3]]]], [[1, 11, 6, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-3, -3],
[0, 0], [0, 0], [-11, -11], [-5, -5]]]], [[1, 11, 6, 1, 2], [v < -2^(1/2), And
(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)]
, [regular_chain, [[-3, -3], [0, 0], [0, 0], [-11, -11], [-1738867/524288, -\
3477733/1048576]]]], [[1, 11, 6, 1, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))]
, [regular_chain, [[-3, -3], [0, 0], [0, 0], [-11, -11], [0, 0]]]], [[1, 11, 6
, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y <
u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-11, -\
11], [3477733/1048576, 1738867/524288]]]], [[1, 11, 6, 1, 5], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) <
z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-11, -11], [5, 5]]]], [[1, 12,
8, 2, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [-4, -4], [-3
, -3]]]], [[1, 12, 8, 2, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, y = -4,
z = -3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1
], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[1, 12, 8, 2, 3], [v <
-2^(1/2), u = (v^2-2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [-4, -4], [-1
/4194304, -1/4194304]]]], [[1, 12, 8, 2, 4], [v < -2^(1/2), u = (v^2-2)^(1/2),
x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[1, 12, 8
, 2, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [-4, -4], [3,
3]]]], [[1, 19, 3, 3, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2
)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [-391655/1048576, -391655/1048576], [-3, -3]]]], [[1,
19, 3, 3, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^
2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [-391655/1048576, -391655/1048576], [-763471/524288, -1526941
/1048576]]]], [[1, 19, 3, 3, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-915943/524288, -915943/524288], [-391655/1048576, -391655/
1048576], [0, 0]]]], [[1, 19, 3, 3, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-915943/524288, -915943/524288], [-391655/1048576, -391655/1048576], [1526941
/1048576, 763471/524288]]]], [[1, 19, 3, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [-391655/1048576, -391655/1048576]
, [3, 3]]]], [[1, 20, 5, 2, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x
< 0), y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[1, 20, 5, 2, 2], [
v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5
/2, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[1, 20, 5, 2, 3], [v < -2
^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3
^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2,
-1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[1, 20, 5, 2, 4], [v < -2^(
1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5
/2, -5/2], [908093/524288, 1816187/1048576]]]], [[1, 20, 5, 2, 5], [v < -2^(1/
2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5
/2, -5/2], [3, 3]]]], [[2, 3, 4, 4, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)
), x = -1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-3913339/2097152, -3913339/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[2, 3,
4, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = 0, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[2, 3, 4, 4, 3], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [0, 0], [0, 0]]]], [[2, 3, 4, 4, 4], [v = -2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [0,
0], [1, 1]]]], [[2, 3, 4, 4, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x =
-1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [0, 0], [2, 2]]]], [[2, 4, 8, 1,
1], [v = -2^(1/2), u = -3^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-4, -4], [-3, -3]]]], [[2, 4, 8, 1, 2], [v = -2^(1/
2), u = -3^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1]
, [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 4, 8, 1, 3], [v = -2
^(1/2), u = -3^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[2, 4, 8, 1,
4], [v = -2^(1/2), u = -3^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[2,
4, 8, 1, 5], [v = -2^(1/2), u = -3^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-4, -4], [3, 3]]]], [[2, 7, 4, 7, 1], [v = -2^(1/2)
, And(v < u,u < -1), x = -1, And(-u^2+2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576], [-2, -2]]]], [[2
, 7, 4, 7, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(-u^2+2 < y,y < 1)
, z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576]
, [-501295/1048576, -250647/524288]]]], [[2, 7, 4, 7, 3], [v = -2^(1/2), And(v
< u,u < -1), x = -1, And(-u^2+2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576], [0, 0]]]], [[2,
7, 4, 7, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(-u^2+2 < y,y < 1),
z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576]
, [250647/524288, 501295/1048576]]]], [[2, 7, 4, 7, 5], [v = -2^(1/2), And(v <
u,u < -1), x = -1, And(-u^2+2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1,
-1], [808921/1048576, 808921/1048576], [2, 2]]]], [[2, 8, 8, 4, 1], [v = -2^(1
/2), u = -1, x = 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [-1, -1], [-1, -1]]]], [[2, 8, 8, 4, 2], [v
= -2^(1/2), u = -1, x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [1, 1], [-1, -1], [0, 0]]]], [[2, 8, 8, 4, 3], [v =
-2^(1/2), u = -1, x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1, 1], [-1, -1], [1, 1]]]], [[2, 12, 9, 6, 1], [v =
-2^(1/2), u = 1, 1 < x, y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [2, 2], [0, 0], [0, 0]]]], [[2, 14, 3, 4, 1], [v = -2^
(1/2), u = -v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1/
2], [0, 0], [-2, -2]]]], [[2, 14, 3, 4, 2], [v = -2^(1/2), u = -v, And(-1 < x,
x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[2, 14, 3, 4, 3], [v = -2^(1/2), u = -v, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1/
2], [0, 0], [0, 0]]]], [[2, 14, 3, 4, 4], [v = -2^(1/2), u = -v, And(-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[2, 14, 3, 4, 5], [v = -2^(1/2), u = -v, And(-1 < x
,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[
3, 1, 4, 8, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y = u^2
-v^2, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[-1, -1], [7909297/1048576, 3954649/524288], [0, 0]]]], [[3, 2, 6, 7, 1], [And
(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, 1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [2, 2], [0, 0]]]], [[3, 7, 2, 5, 1], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,
y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [355399/262144, 355399/262144], [-2, -2]]]], [[3,
7, 2, 5, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2
-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [355399/262144, 355399
/262144], [-242963/524288, -485925/1048576]]]], [[3, 7, 2, 5, 3], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2
< y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [355399/262144, 355399
/262144], [0, 0]]]], [[3, 7, 2, 5, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-
u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
355399/262144, 355399/262144], [485925/1048576, 242963/524288]]]], [[3, 7, 2,
5, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1
, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [355399/262144, 355399
/262144], [2, 2]]]], [[3, 8, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)
^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3, 8, 5, 5, 2], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-1417877/2097152, -354469/524288], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[3, 8, 5, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x
< 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 8, 5, 5, 4], [And(-2
^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[3
, 8, 5, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0
), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [-1/2, -1/2], [1/4, 1/4]
, [2, 2]]]], [[4, 1, 5, 1, 1], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y < -
u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2],
[-10, -10], [-5, -5]]]], [[4, 1, 5, 1, 2], [v = -1, u < -3^(1/2), And(-1 < x,x
< 0), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1
/2, -1/2], [-10, -10], [-3397775/1048576, -1698887/524288]]]], [[4, 1, 5, 1, 3
], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y < -u^2-x, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-10,
-10], [0, 0]]]], [[4, 1, 5, 1, 4], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y
< -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2]
, [-10, -10], [1698887/524288, 3397775/1048576]]]], [[4, 1, 5, 1, 5], [v = -1,
u < -3^(1/2), And(-1 < x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain
, [[-1, -1], [-3, -3], [-1/2, -1/2], [-10, -10], [5, 5]]]], [[4, 2, 7, 2, 1],
[v = -1, u = -3^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-\
7/2, -7/2], [-3, -3]]]], [[4, 2, 7, 2, 2], [v = -1, u = -3^(1/2), And(0 < x,x
< 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/
2097152]]]], [[4, 2, 7, 2, 3], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y = -x
-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]
]]], [[4, 2, 7, 2, 4], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y = -x-3, z =
3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/
2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[4, 2, 7, 2, 5],
[v = -1, u = -3^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-\
7/2, -7/2], [3, 3]]]], [[4, 7, 3, 2, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2
< x,x < -1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1
/2, -1/2], [-11/8, -11/8], [-3/8, -3/8], [-3, -3]]]], [[4, 7, 3, 2, 2], [v = -\
1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = u^2-x-2, z = -(-u^2+2)^(1/2)]
, [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-3/8, -3/8], [-\
10837/8192, -1387135/1048576]]]], [[4, 7, 3, 2, 3], [v = -1, And(-1 < u,u < 0)
, And(u^2-2 < x,x < -1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/
2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-3/8, -3/8], [
0, 0]]]], [[4, 7, 3, 2, 4], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1),
y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-\
11/8, -11/8], [-3/8, -3/8], [1387135/1048576, 10837/8192]]]], [[4, 7, 3, 2, 5]
, [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = u^2-x-2, (-u^2+2)^(1/
2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-3/8, -3/8]
, [3, 3]]]], [[4, 8, 6, 2, 1], [v = -1, u = 0, x = 0, y = -2, z < -2^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [0, 0], [-2, -2], [-3, -3]]]], [[4, 8, 6, 2,
2], [v = -1, u = 0, x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[-1, -1], [
0, 0], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[4, 8, 6, 2,
3], [v = -1, u = 0, x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1, -1], [0, 0], [0, 0], [-2, -2], [0, 0]]]], [[4, 8, 6, 2, 4
], [v = -1, u = 0, x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[-1, -1], [0,
0], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[4, 8, 6, 2, 5], [
v = -1, u = 0, x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[-1, -1], [0, 0],
[0, 0], [-2, -2], [3, 3]]]], [[4, 14, 8, 7, 1], [v = -1, u = 3^(1/2), x = 1, 0
< y, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1,
1], [1, 1], [0, 0]]]], [[5, 1, 1, 8, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2
), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [-3
, -3], [-11, -11], [75/4, 75/4], [0, 0]]]], [[5, 5, 3, 3, 1], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-\
1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/
1048576, -106039/1048576], [-3, -3]]]], [[5, 5, 3, 3, 2], [And(-1 < v,v < 0),
And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/1048576, -\
106039/1048576], [-1197115/1048576, -598557/524288]]]], [[5, 5, 3, 3, 3], [And
(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And
(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [0, 0]]]], [[5
, 5, 3, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -\
2521309/2097152], [-106039/1048576, -106039/1048576], [598557/524288, 1197115/
1048576]]]], [[5, 5, 3, 3, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [3, 3]
]]], [[5, 6, 6, 5, 1], [And(-1 < v,v < 0), u = v, x = 1, And(-1 < y,y < 0), z
= z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-1/2, -1/2], [0, 0
]]]], [[5, 9, 4, 9, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, 1 < y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [2, 2], [0, 0]]]], [[5, 10, 8, 6, 1], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [1, 1], [0, 0], [0, 0]]]], [[6, 1, 8, 3, 1],
[v = 0, u < -2^(1/2), x = 1, And(-u^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [1, 1], [-6, -6], [-4, -4]]]], [[6, 1, 8, 3,
2], [v = 0, u < -2^(1/2), x = 1, And(-u^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [1, 1], [-6, -6], [-146543/65536, -2344687/
1048576]]]], [[6, 1, 8, 3, 3], [v = 0, u < -2^(1/2), x = 1, And(-u^2-2 < y,y <
-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [-3, -\
3], [1, 1], [-6, -6], [0, 0]]]], [[6, 1, 8, 3, 4], [v = 0, u < -2^(1/2), x = 1
, And(-u^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [-3, -3]
, [1, 1], [-6, -6], [2344687/1048576, 146543/65536]]]], [[6, 1, 8, 3, 5], [v =
0, u < -2^(1/2), x = 1, And(-u^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [1, 1], [-6, -6], [4, 4]]]], [[6, 3, 1, 4, 1
], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y = -u^2-x-1, z < -(u^2+1)^(1
/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4],
[1617841/1048576, 808921/524288], [-3, -3]]]], [[6, 3, 1, 4, 2], [v = 0, And(-
2^(1/2) < u,u < -1), x < -u^2-1, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
1617841/1048576, 808921/524288], [-410915/262144, -3287319/2097152]]]], [[6, 3
, 1, 4, 3], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y = -u^2-x-1, And(-(
u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-4, -4], [1617841/1048576, 808921/524288], [-1/
4194304, -1/4194304]]]], [[6, 3, 1, 4, 4], [v = 0, And(-2^(1/2) < u,u < -1), x
< -u^2-1, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-4, -4], [1617841/1048576, 808921/524288], [
1643659/1048576, 410915/262144]]]], [[6, 3, 1, 4, 5], [v = 0, And(-2^(1/2) < u
,u < -1), x < -u^2-1, y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0
], [-1265743/1048576, -1265743/1048576], [-4, -4], [1617841/1048576, 808921/
524288], [3, 3]]]], [[6, 9, 5, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 <
x,x < 0), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[6, 9, 5, 1,
2], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y < -u^2-x-1, z = -(-x-
y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2,
-1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[6, 9, 5, 1, 3], [v =
0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y < -u^2-x-1, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[6, 9, 5, 1, 4], [v = 0, And(1 <
u,u < 2^(1/2)), And(-1 < x,x < 0), y < -u^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-3,
-3], [980853/524288, 1961707/1048576]]]], [[6, 9, 5, 1, 5], [v = 0, And(1 < u,
u < 2^(1/2)), And(-1 < x,x < 0), y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-3,
-3], [3, 3]]]], [[6, 10, 7, 2, 1], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y =
-x-3, z < -3^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576]
, [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[6, 10, 7, 2, 2], [v = 0, u = 2^(1/2
), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[0, 0], [741455
/524288, 1482911/1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 10, 7, 2, 3], [v = 0, u = 2^(1/2), And(0 < x,x < 1),
y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]
], [[6, 10, 7, 2, 4], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(
1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2],
[-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[6, 10, 7, 2, 5], [v = 0,
u = 2^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[0, 0]
, [741455/524288, 1482911/1048576], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[7,
3, 6, 4, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 0, y = 0, z < 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [0, 0], [0, 0], [-1, -1]]]], [[7, 3, 6, 4, 2], [And(0 < v,v < 1), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [0, 0], [0, 0]]]], [[7,
3, 6, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [0, 0], [0, 0], [1, 1]]]], [[7, 5, 1, 5, 1], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-\
1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [2, 2], [-2, -2]]]], [[7, 5, 1, 5, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y
< u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[7, 5, 1, 5, 3], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2
-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2
, 2], [0, 0]]]], [[7, 5, 1, 5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3]
, [2, 2], [1, 1]]]], [[7, 5, 1, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3,
-3], [2, 2], [2, 2]]]], [[8, 1, 10, 3, 1], [v = 1, u < -3^(1/2), x = u^2-2, 
And(-2*u^2+2 < y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1],
[-3, -3], [7, 7], [-23/2, -23/2], [-4, -4]]]], [[8, 1, 10, 3, 2], [v = 1, u <
-3^(1/2), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [7, 7], [-23/2, -23/2], [-1112183/524288, -\
2224365/1048576]]]], [[8, 1, 10, 3, 3], [v = 1, u < -3^(1/2), x = u^2-2, And(-\
2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [7, 7], [-23/2, -23/2], [0, 0]]]], [[8, 1, 
10, 3, 4], [v = 1, u < -3^(1/2), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z =
(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-23/2, -23/2],
[2224365/1048576, 1112183/524288]]]], [[8, 1, 10, 3, 5], [v = 1, u < -3^(1/2),
x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain
, [[1, 1], [-3, -3], [7, 7], [-23/2, -23/2], [4, 4]]]], [[8, 3, 4, 1, 1], [v =
1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y < -u^2+1, z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1], [-3, -\
3], [-3, -3]]]], [[8, 3, 4, 1, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x =
-1, y < -u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [-1, -1], [-3, -3], [-2, -2]]]], [[8, 3, 4, 1, 3], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
-1, -1], [-3, -3], [0, 0]]]], [[8, 3, 4, 1, 4], [v = 1, And(-3^(1/2) < u,u < -
2^(1/2)), x = -1, y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-1, -1], [-3, -3], [2, 2]]]], [[8, 3, 4,
1, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y < -u^2+1, (1-y)^(1/2)
< z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1, -1],
[-3, -3], [3, 3]]]], [[8, 7, 8, 2, 1], [v = 1, And(-1 < u,u < 0), x = 0, y = u
^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-7
/4, -7/4], [-3, -3]]]], [[8, 7, 8, 2, 2], [v = 1, And(-1 < u,u < 0), x = 0, y
= u^2-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0],
[-7/4, -7/4], [-10837/8192, -1387135/1048576]]]], [[8, 7, 8, 2, 3], [v = 1, 
And(-1 < u,u < 0), x = 0, y = u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2
))], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-7/4, -7/4], [0, 0]]]], [
[8, 7, 8, 2, 4], [v = 1, And(-1 < u,u < 0), x = 0, y = u^2-2, z = (-u^2+2)^(1/
2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-7/4, -7/4], [1387135/
1048576, 10837/8192]]]], [[8, 7, 8, 2, 5], [v = 1, And(-1 < u,u < 0), x = 0, y
= u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [
-7/4, -7/4], [3, 3]]]], [[8, 9, 3, 7, 1], [v = 1, And(0 < u,u < 1), And(u^2-2
< x,x < -1), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-11/8, -11/8], [5/4, 5/4], [-2, -2]]]], [[8, 9, 3, 7, 2], [v
= 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [5/4, 5/4], [
-46341/131072, -370727/1048576]]]], [[8, 9, 3, 7, 3], [v = 1, And(0 < u,u < 1)
, And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [5/4, 5/4],
[0, 0]]]], [[8, 9, 3, 7, 4], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1),
And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2]
, [-11/8, -11/8], [5/4, 5/4], [370727/1048576, 46341/131072]]]], [[8, 9, 3, 7,
5], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [5/4, 5
/4], [2, 2]]]], [[8, 15, 5, 2, 1], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y =
-u^2-x, z < -u], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-17/2, -17/2]
, [-4, -4]]]], [[8, 15, 5, 2, 2], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y =
-u^2-x, z = -u], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-17/2, -17/2]
, [-3, -3]]]], [[8, 15, 5, 2, 3], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y =
-u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-\
17/2, -17/2], [0, 0]]]], [[8, 15, 5, 2, 4], [v = 1, 3^(1/2) < u, And(-1 < x,x
< 0), y = -u^2-x, z = u], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-17/
2, -17/2], [3, 3]]]], [[8, 15, 5, 2, 5], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0
), y = -u^2-x, u < z], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-17/2,
-17/2], [4, 4]]]], [[9, 1, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/
2), And(0 < x,x < 1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [6336433/2097152, 
6336433/2097152], [0, 0]]]], [[9, 5, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [0, 0], [-4194303/4194304, -4194303/4194304], [-2, -2]]]]
, [[9, 5, 8, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x
= 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0
], [-4194303/4194304, -4194303/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[9, 5, 8, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/
2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [0, 0], [-4194303/4194304, -4194303/
4194304], [-3670015/8796093022208, -3670015/8796093022208]]]], [[9, 5, 8, 3, 4
], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^
2-1 < y,y < u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-4194303/
4194304, -4194303/4194304], [1048575/1048576, 1]]]], [[9, 5, 8, 3, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y
< u^2-v^2-1), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-4194303/4194304, -\
4194303/4194304], [2, 2]]]], [[9, 7, 5, 4, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [0, 0], [-2, -2]]]], [
[9, 7, 5, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(
-1 < x,x < -u^2+v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [0, 0], [-3545995/4194304, -1772997/2097152]]]], [
[9, 7, 5, 4, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(
-1 < x,x < -u^2+v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [0, 0], [-1/4194304, -\
1/4194304]]]], [[9, 7, 5, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2
-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, z = (-x)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1498947/2097152, -1498947/2097152], [0, 0], [443249/524288, 886499/1048576]]]
], [[9, 7, 5, 4, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [0, 0], [2, 2]]]], [[9, 9, 8, 6, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/
524288, 479311/1048576], [0, 0], [0, 0]]]], [[9, 11, 4, 2, 1], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576,
987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [-3, -3]]]], [
[9, 11, 4, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -\
1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-598205/1048576
, -1196409/2097152], [-1314069/1048576, -328517/262144]]]], [[9, 11, 4, 2, 3],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, 
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1],
[-598205/1048576, -1196409/2097152], [0, 0]]]], [[9, 11, 4, 2, 4], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = (-u^2+v^2
+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [
328517/262144, 1314069/1048576]]]], [[9, 11, 4, 2, 5], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-598205/1048576, -1196409/2097152], [3, 3]]]], [[9, 15, 8
, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-57648773/33554432, -57648773/
33554432], [-3, -3]]]], [[9, 15, 8, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v
^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-\
57648773/33554432, -57648773/33554432], [-583671/524288, -1167341/1048576]]]],
[[9, 15, 8, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+
1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-57648773/33554432, -57648773/33554432], [0, 0]]]], [[9, 15, 8, 3, 4
], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-
v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [501965/1048576, 250983/524288], [-57648773/33554432, -57648773/
33554432], [1167341/1048576, 583671/524288]]]], [[9, 15, 8, 3, 5], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*
u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [-57648773/33554432, -57648773/33554432], [3, 3]]]],
[[9, 17, 1, 8, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1,
y = u^2-v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [-10, -10], [17346481/1048576, 8673241/524288], [0, 0]]]], [[10, 5, 8,
7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [0, 0], [1, 1], [0, 0]]]], [[10, 7, 5, 8, 1], [v = 2^(1/2), And(-v <
u,u < -1), And(-1 < x,x < -u^2+1), y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [763943/1048576, 95493/131072], [-1, -1]]]], [[10,
7, 5, 8, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y = -x,
z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-1527887/2097152, -1527887/2097152], [763943/1048576, 
95493/131072], [0, 0]]]], [[10, 7, 5, 8, 3], [v = 2^(1/2), And(-v < u,u < -1),
And(-1 < x,x < -u^2+1), y = -x, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [763943/1048576, 95493/131072], [1, 1]]]], [[10, 11, 6, 4, 1
], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y = 0, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [0, 0], [-1, -1]]]], [[10
, 11, 6, 4, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y = 0, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [0, 0],
[0, 0]]]], [[10, 11, 6, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), x = 0, y = 0, 0
< z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [
0, 0], [1, 1]]]], [[10, 13, 1, 9, 1], [v = 2^(1/2), And(1 < u,u < v), x < u^2-\
3, -x < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743
/1048576, 1265743/1048576], [-3, -3], [4, 4], [0, 0]]]], [[11, 3, 7, 2, 1], [2
^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-\
1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-5748437/
2097152, -1437109/524288], [-3, -3]]]], [[11, 3, 7, 2, 2], [2^(1/2) < v, And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-
x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [129511/524288, 129511/524288], [-5748437/2097152, -1437109/
524288], [-1655969/1048576, -3311937/2097152]]]], [[11, 3, 7, 2, 3], [2^(1/2)
< v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y =
-u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [-5748437/2097152, -1437109/524288], [-1/4194304, -1/4194304]]
]], [[11, 3, 7, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [-5748437/2097152, -1437109/524288], [51749/32768, 1655969/
1048576]]]], [[11, 3, 7, 2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/
524288, 129511/524288], [-5748437/2097152, -1437109/524288], [3, 3]]]], [[11,
5, 2, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And
(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
3, 3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [
1300363/1048576, 1300363/1048576], [-2, -2]]]], [[11, 5, 2, 5, 2], [2^(1/2) <
v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2
-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363
/1048576], [-527729/1048576, -1055457/2097152]]]], [[11, 5, 2, 5, 3], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u
^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [1300363/1048576, 1300363/1048576], [-1/4194304, -1/4194304]
]]], [[11, 5, 2, 5, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2
+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [1300363/1048576, 1300363/1048576], [32983/65536, 527729/
1048576]]]], [[11, 5, 2, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [1300363/1048576, 1300363/1048576], [2, 2]]]], [[11, 9, 7, 1
, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x <
-u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-4, -\
4], [-3, -3]]]], [[11, 9, 7, 1, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-4, -4], [-8117717/4194304, -16235433/8388608]]]],
[[11, 9, 7, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(0 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [
533035/2097152, 533035/2097152], [-4, -4], [-1/16777216, -1/16777216]]]], [[11
, 9, 7, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0
< x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152],
[-4, -4], [2029429/1048576, 1014715/524288]]]], [[11, 9, 7, 1, 5], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y <
u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [-4, -4], [3, 3]]]], [[11
, 10, 9, 6, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y = 1-x, z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-1, -1]
, [0, 0]]]], [[11, 17, 1, 8, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
< -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-3, -3], [3, 3], [-1, -1]]]], [[11, 17, 1, 8, 2], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-3, -3], [3, 3], [0, 0]]]], [[11, 17, 1,
8, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, 0 <
z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [3, 3],
[1, 1]]]], [[11, 18, 5, 3, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x <
0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[11, 18, 5,
3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0)
, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576]
, [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[11, 18,
5, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y <
0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [207243
/65536, 3315889/1048576], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[11, 18, 5,
3, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0)
, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576],
[-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[11, 18, 5,
3, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0)
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576],
[-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[1, 1, 11, 7, 1], [v < -2^(1/2), u < -
(v^2+2)^(1/2), u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[-3, -3], [-5, -5], [16, 16], [-1/2, -1/2], [0, 0]]]], [[1, 3,
4, 8, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y
= u^2-v^2, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [391655/262144, 1566621/1048576], [0, 0]]]], [[1, 7, 9, 6,
1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -x, z
< 0], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1
/2], [-1/2, -1/2], [-1, -1]]]], [[1, 7, 9, 6, 2], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1
, 7, 9, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152
], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 9, 4, 5, 1], [v < -2^(1/2), And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1
/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1,
-1], [1/2, 1/2], [-2, -2]]]], [[1, 9, 4, 5, 2], [v < -2^(1/2), And(-(v^2-1)^(1
/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [1
/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 9, 4, 5, 3], [v < -2^(1
/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y,y < 1), And
(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 9, 4, 5, 4]
, [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(0 < y
,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[1
, 9, 4, 5, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
-1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 15, 3, 1, 1
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y
< u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152
, 6111549/2097152], [-657289/524288, -657289/524288], [-2, -2], [-3, -3]]]], [
[1, 15, 3, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1
< x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-2, -2],
[-1891417/1048576, -7565667/4194304]]]], [[1, 15, 3, 1, 3], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-2, -2], [-3/
8388608, -3/8388608]]]], [[1, 15, 3, 1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) <
u,u < -v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [-2, -2], [236427/131072, 1891417/1048576]]]], [[1, 15, 3, 1,
5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y
< u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-657289/524288, -657289/524288], [-2, -2], [3, 3]]]], [[1,
16, 6, 3, 1], [v < -2^(1/2), u = -v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1
/2)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[
1, 16, 6, 3, 2], [v < -2^(1/2), u = -v, x = 1, And(-2 < y,y < -1), z = -(-y-1)
^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-3/2, -3/2], [-1482911/
2097152, -741455/1048576]]]], [[1, 16, 6, 3, 3], [v < -2^(1/2), u = -v, x = 1,
And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[-3, -3], [3, 3], [1, 1], [-3/2, -3/2], [0, 0]]]], [[1, 16, 6, 3, 4], [v < -2
^(1/2), u = -v, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain,
[[-3, -3], [3, 3], [1, 1], [-3/2, -3/2], [741455/1048576, 46341/65536]]]], [[1
, 16, 6, 3, 5], [v < -2^(1/2), u = -v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2)
< z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-3/2, -3/2], [2, 2]]]], [[1,
20, 9, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, And(1-x < y,y < 0), z =
z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [-1/
2, -1/2], [0, 0]]]], [[2, 1, 2, 6, 1], [v = -2^(1/2), u < -2, x = -u^2+1, y =
2*u^2-4, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [-8, -8], [14, 14], [0, 0]]]], [[2, 11, 1, 4, 1], [v = -2^(1/2), And(0 < u,u
< 1), x < u^2-3, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [5/4, 5/4], [-3, -3]]]], [[2,
11, 1, 4, 2], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3, z = -(-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2]
, [-4, -4], [5/4, 5/4], [-1738867/1048576, -3477733/2097152]]]], [[2, 11, 1, 4
, 3], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3, And(-(-u^2+3)^(
1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-4, -4], [5/4, 5/4], [-1/4194304, -1/4194304]]]], [[2, 
11, 1, 4, 4], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3, z = (-u
^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[-4, -4], [5/4, 5/4], [869433/524288, 1738867/1048576]]]], [[2, 11, 1, 4, 5],
[v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3, (-u^2+3)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [5/
4, 5/4], [3, 3]]]], [[2, 12, 4, 2, 1], [v = -2^(1/2), u = 1, x = -1, y = -1, z
< -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1,
-1], [-1, -1], [-3, -3]]]], [[2, 12, 4, 2, 2], [v = -2^(1/2), u = 1, x = -1, y
= -1, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[2, 12, 4, 2,
3], [v = -2^(1/2), u = 1, x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-1, -1]
, [0, 0]]]], [[2, 12, 4, 2, 4], [v = -2^(1/2), u = 1, x = -1, y = -1, z = 2^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [
-1, -1], [741455/524288, 1482911/1048576]]]], [[2, 12, 4, 2, 5], [v = -2^(1/2)
, u = 1, x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1, -1], [-1, -1], [3, 3]]]], [[2, 17, 1, 1, 1], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-4, -4], [-1, -1], [-4, -4]]]], [[2, 17, 1, 1, 2], [v = -2^(1/2), 
And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4,
-4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[2, 17, 1, 1, 3], [v = -
2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-4, -4], [-1, -1], [0, 0]]]], [[2, 17, 1, 1, 4], [
v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[2, 17, 1,
1, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-4, -4], [-1, -1], [4, 4]]]], [[2, 18, 3, 2, 1], [v = -2^(1
/2), u = 2, And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1, -1], [-3, -3]]]], [[2
, 18, 3, 2, 2], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y = -x-3, z = -3^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-\
1, -1], [-1816187/1048576, -3632373/2097152]]]], [[2, 18, 3, 2, 3], [v = -2^(1
/2), u = 2, And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1, -1]
, [-1/4194304, -1/4194304]]]], [[2, 18, 3, 2, 4], [v = -2^(1/2), u = 2, And(-3
< x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]
], [[2, 18, 3, 2, 5], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y = -x-3, 3^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2
], [-1, -1], [3, 3]]]], [[3, 5, 1, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2
+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3, -3], [2, 2], [-2, -2]]]], [[3, 5, 1,
5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-\
1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-3, -3], [2, 2], [-1, -1]]]], [[3, 5, 1, 5, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x
-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [2
, 2], [0, 0]]]], [[3, 5, 1, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/
2) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [2, 2], [1, 1]]]], [[3, 5, 1, 5, 5], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(-
u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [2, 2], [2, 2]]]], [[3, 6, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, x
= 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2],
[-2, -2]]]], [[3, 6, 4, 3, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 0, And(-1
< y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-\
1482911/2097152, -741455/1048576]]]], [[3, 6, 4, 3, 3], [And(-2^(1/2) < v,v <
-1), u = v, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[3, 6, 4, 3, 4], [And(-2^(
1/2) < v,v < -1), u = v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[3,
6, 4, 3, 5], [And(-2^(1/2) < v,v < -1), u = v, x = 0, And(-1 < y,y < 0), (-y)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [2, 2]]]], [[3, 11, 1, 2, 1]
, [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y =
0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[3, 11, 1, 2,
2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 11, 1, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[3, 11, 1, 2,
4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y
= 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/
1048576]]]], [[3, 11, 1, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [0, 0]
, [3, 3]]]], [[3, 12, 3, 7, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,
x < 0), -x < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 15,
1, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[797593/524288, 1595187/1048576], [-3, -3]]]], [[3, 15, 1, 4, 2], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [797593/524288, 
1595187/1048576], [-3301741/2097152, -825435/524288]]]], [[3, 15, 1, 4, 3], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v
^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [797593/524288, 1595187/1048576], [0, 0]]]], [[3, 15, 1, 4,
4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -
u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[797593/524288, 1595187/1048576], [825435/524288, 1650871/1048576]]]], [[3, 15
, 1, 4, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4]
, [797593/524288, 1595187/1048576], [3, 3]]]], [[3, 16, 3, 5, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[3, 16, 3, 5, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [121853/65536, 1949649/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[3, 16, 3,
5, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[1, 1], [0, 0]]]], [[3, 16, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2,
-2], [1, 1], [1, 1]]]], [[3, 16, 3, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [1, 1], [2, 2]]]], [[4, 3, 2, 7, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = -u^2, 2*u^2-2 < y, z = z], [regular_chain, [[-1, -1], [
-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [4,
4], [0, 0]]]], [[4, 4, 5, 7, 1], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), -x
< y, z = z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [2, 2], [0, 0]]]], [[4, 11, 3, 3, 1], [v = -1, And(1 < u,u < 2^(1/
2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [-3, -3]]]], [
[4, 11, 3, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(-
u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-239655/
2097152, -239655/2097152], [-151887/131072, -1215095/1048576]]]], [[4, 11, 3,
3, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y
< 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
239655/2097152, -239655/2097152], [0, 0]]]], [[4, 11, 3, 3, 4], [v = -1, And(1
< u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2
)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [1215095/
1048576, 151887/131072]]]], [[4, 11, 3, 3, 5], [v = -1, And(1 < u,u < 2^(1/2))
, And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [3, 3]]]], [[4
, 12, 6, 3, 1], [v = -1, u = 2^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2
)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [-1,
-1], [-2, -2]]]], [[4, 12, 6, 3, 2], [v = -1, u = 2^(1/2), x = 0, And(-2 < y,y
< 0), z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [0, 0], [-1, -1], [-1, -1]]]], [[4, 12, 6, 3, 3], [v = -1, u = 2^(1/
2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [-1, -1],
[0, 0]]]], [[4, 12, 6, 3, 4], [v = -1, u = 2^(1/2), x = 0, And(-2 < y,y < 0),
z = (-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576],
[0, 0], [-1, -1], [1, 1]]]], [[4, 12, 6, 3, 5], [v = -1, u = 2^(1/2), x = 0, 
And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [0, 0], [-1, -1], [2, 2]]]], [[5, 1, 6, 4, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/2],
[-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[5, 1, 6, 4, 2], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [-3, -3
], [0, 0], [0, 0], [0, 0]]]], [[5, 1, 6, 4, 3], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0
], [0, 0], [1, 1]]]], [[5, 2, 8, 5, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2)
, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2
], [1, 1], [-1/2, -1/2], [0, 0]]]], [[5, 13, 1, 6, 1], [And(-1 < v,v < 0), (v^
2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-1/2, -1/2],
[3, 3], [-11, -11], [11, 11], [-1, -1]]]], [[5, 13, 1, 6, 2], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-1/2,
-1/2], [3, 3], [-11, -11], [11, 11], [0, 0]]]], [[5, 13, 1, 6, 3], [And(-1 < v
,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[
-1/2, -1/2], [3, 3], [-11, -11], [11, 11], [1, 1]]]], [[6, 1, 3, 7, 1], [v = 0
, u < -2^(1/2), And(-u^2-1 < x,x < -1), And(-x < y,y < u^2-x-1), z = z], [
regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [19/2, 19/2], [0, 0]]]], [[6
, 5, 4, 9, 1], [v = 0, And(-1 < u,u < 0), x = -1, 1 < y, z = z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [2, 2], [0, 0]]]], [[6, 7, 1,
6, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = u^2-x-1, z < -(-u^2+1)^(1/2)]
, [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [9/4, 9/4], [-2, -2]]]], [[6,
7, 1, 6, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = u^2-x-1, z = -(-u^2+1)^
(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [9/4, 9/4], [-1816187/
2097152, -3632373/4194304]]]], [[6, 7, 1, 6, 3], [v = 0, And(0 < u,u < 1), x <
-u^2-1, y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [9/4, 9/4], [-1/8388608, -1/
8388608]]]], [[6, 7, 1, 6, 4], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = u^2-x
-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [9/4,
9/4], [908093/1048576, 454047/524288]]]], [[6, 7, 1, 6, 5], [v = 0, And(0 < u,
u < 1), x < -u^2-1, y = u^2-x-1, (-u^2+1)^(1/2) < z], [regular_chain, [[0, 0],
[1/2, 1/2], [-3, -3], [9/4, 9/4], [2, 2]]]], [[7, 1, 8, 7, 1], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), x = 1, And(0 < y,y < u^2-v^2-2), z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [27/8, 27/8], [0, 0]]]], [[7, 3,
1, 8, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -
u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-4, -4], [2340173/524288, 4680347/1048576], [0, 0]]]
], [[7, 7, 6, 6, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y =
u^2-v^2+1, z < 0], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [3/4, 3/
4], [-1, -1]]]], [[7, 7, 6, 6, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -
u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4,
-3/4], [3/4, 3/4], [0, 0]]]], [[7, 7, 6, 6, 3], [And(0 < v,v < 1), And(-v < u,
u < v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[1/2, 1/2], [0
, 0], [-3/4, -3/4], [3/4, 3/4], [1, 1]]]], [[7, 9, 3, 5, 1], [And(0 < v,v < 1)
, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-
v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [636235/2097152, 
636235/2097152], [-2, -2]]]], [[7, 9, 3, 5, 2], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z =
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152
], [-2521309/2097152, -2521309/2097152], [636235/2097152, 636235/2097152], [-\
3976575/4194304, -15906299/16777216]]]], [[7, 9, 3, 5, 3], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^
2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [
636235/2097152, 636235/2097152], [-11/33554432, -11/33554432]]]], [[7, 9, 3, 5
, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [
636235/2097152, 636235/2097152], [994143/1048576, 31067/32768]]]], [[7, 9, 3,
5, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [
636235/2097152, 636235/2097152], [2, 2]]]], [[7, 11, 6, 6, 1], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = u^2-v^2-1, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [243021/
524288, 486043/1048576], [0, 0]]]], [[7, 12, 9, 4, 1], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2],
[2, 2], [-2, -2], [-1, -1]]]], [[7, 12, 9, 4, 2], [And(0 < v,v < 1), u = (v^2+
2)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2,
2], [-2, -2], [0, 0]]]], [[7, 12, 9, 4, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/
2), 1 < x, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-\
2, -2], [1, 1]]]], [[8, 3, 7, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(0 < x,x < u^2-2), u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [2, 2], [0, 0]]]
], [[8, 5, 3, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), 
And(0 < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/
2097152, 718965/2097152], [-2, -2]]]], [[8, 5, 3, 5, 2], [v = 1, And(-2^(1/2)
< u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), z = -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [-15789523/
16777216, -7894761/8388608]]]], [[8, 5, 3, 5, 3], [v = 1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [-1/
16777216, -1/16777216]]]], [[8, 5, 3, 5, 4], [v = 1, And(-2^(1/2) < u,u < -1),
And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [986845/1048576,
493423/524288]]]], [[8, 5, 3, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^
2 < x,x < -1), And(0 < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576]
, [718965/2097152, 718965/2097152], [2, 2]]]], [[8, 11, 8, 5, 1], [v = 1, And(
1 < u,u < 2^(1/2)), x = 0, And(u^2-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-569265/
2097152, -569265/2097152], [-2, -2]]]], [[8, 11, 8, 5, 2], [v = 1, And(1 < u,u
< 2^(1/2)), x = 0, And(u^2-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-569265/2097152, -569265/
2097152], [-273157/524288, -1092627/2097152]]]], [[8, 11, 8, 5, 3], [v = 1, 
And(1 < u,u < 2^(1/2)), x = 0, And(u^2-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (
-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0,
0], [-569265/2097152, -569265/2097152], [-1/4194304, -1/4194304]]]], [[8, 11,
8, 5, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, And(u^2-2 < y,y < 0), z = (-y
)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0],
[-569265/2097152, -569265/2097152], [546313/1048576, 273157/524288]]]], [[8, 
11, 8, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, And(u^2-2 < y,y < 0), (-y
)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0,
0], [-569265/2097152, -569265/2097152], [2, 2]]]], [[8, 13, 4, 1, 1], [v = 1,
And(2^(1/2) < u,u < 3^(1/2)), x = -1, y < -u^2+1, z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-3, -3]
, [-3, -3]]]], [[8, 13, 4, 1, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1
, y < -u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-1, -1], [-3, -3], [-2, -2]]]], [[8, 13, 4, 1, 3], [v = 1,
And(2^(1/2) < u,u < 3^(1/2)), x = -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1,
-1], [-3, -3], [0, 0]]]], [[8, 13, 4, 1, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/
2)), x = -1, y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1, -1], [-3, -3], [2, 2]]]], [[8, 13, 4, 1, 5], [
v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y < -u^2+1, (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-3, -3]
, [3, 3]]]], [[9, 1, 11, 6, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), u
^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [8, 8], [-1527887/1048576, -763943/524288], [0, 0]
]]], [[9, 3, 5, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-16598637/8388608, -66394547/33554432], [-3,
-3]]]], [[9, 3, 5, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-16598637/8388608, -66394547/33554432], [-\
3301741/2097152, -825435/524288]]]], [[9, 3, 5, 2, 3], [And(1 < v,v < 2^(1/2))
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-
x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
/2, -1/2], [-16598637/8388608, -66394547/33554432], [0, 0]]]], [[9, 3, 5, 2, 4
], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1
< x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
/2, -1/2], [-16598637/8388608, -66394547/33554432], [825435/524288, 1650871/
1048576]]]], [[9, 3, 5, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-16598637/8388608, -66394547/33554432], [3,
3]]]], [[9, 13, 9, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)
), And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1
/2], [-3, -3], [-3, -3]]]], [[9, 13, 9, 1, 2], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]],
[[9, 13, 9, 1, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(
0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [-3, -3], [0, 0]]]], [[9, 13, 9, 1, 4], [And(1 < v,v < 2
^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/
1048576]]]], [[9, 13, 9, 1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [1/
2, 1/2], [-3, -3], [3, 3]]]], [[9, 15, 4, 4, 1], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z < -1], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1],
[0, 0], [-2, -2]]]], [[9, 15, 4, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[1265743
/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [0, 0],
[-1, -1]]]], [[9, 15, 4, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [
0, 0], [0, 0]]]], [[9, 15, 4, 4, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [0, 0], [
1, 1]]]], [[9, 15, 4, 4, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [0, 0], [2, 2]]]],
[[10, 1, 11, 9, 1], [v = 2^(1/2), u < -2, u^2-3 < x, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [1, 1], [0
, 0]]]], [[10, 3, 5, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x
,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[1/4, 1/4], [-2, -2]]]], [[10, 3, 5, 5, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1
/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1
/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 3, 5, 5, 3], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[10,
3, 5, 5, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2
, 1/2]]]], [[10, 3, 5, 5, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[1/4, 1/4], [2, 2]]]], [[10, 9, 9, 2, 1], [v = 2^(1/2), And(-1 < u,u < 0), And
(-u^2+1 < x,x < 1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-29/8, -29/8], [-3
, -3]]]], [[10, 9, 9, 2, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x
< 1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-29/8, -29/8], [-1738867/1048576,
-3477733/2097152]]]], [[10, 9, 9, 2, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(
-u^2+1 < x,x < 1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [
-29/8, -29/8], [-1/4194304, -1/4194304]]]], [[10, 9, 9, 2, 4], [v = 2^(1/2), 
And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-\
29/8, -29/8], [869433/524288, 1738867/1048576]]]], [[10, 9, 9, 2, 5], [v = 2^(
1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8
], [-29/8, -29/8], [3, 3]]]], [[10, 11, 2, 5, 1], [v = 2^(1/2), And(0 < u,u <
1), x = u^2-3, And(-u^2+3 < y,y < -2*u^2+4), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4], [25/8, 25/8], [0, 0]]]],
[[10, 15, 6, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = -u^2+
3, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [-1101541/2097152, -275385/524288], [275385/524288, 550771
/1048576], [-1, -1]]]], [[10, 15, 6, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2
)), x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/
524288], [275385/524288, 550771/1048576], [0, 0]]]], [[10, 15, 6, 6, 3], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
1101541/2097152, -275385/524288], [275385/524288, 550771/1048576], [1, 1]]]],
[[10, 17, 2, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = 0, z
< -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339
/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [0, 0], [-3, -\
3]]]], [[10, 17, 2, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y
= 0, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [0, 0],
[-825991/524288, -3303963/2097152]]]], [[10, 17, 2, 2, 3], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-650655/262144, -2602619/1048576], [0, 0], [-1/4194304, -1/
4194304]]]], [[10, 17, 2, 2, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^
2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/
1048576], [0, 0], [1651981/1048576, 825991/524288]]]], [[10, 17, 2, 2, 5], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [0, 0], [3, 3]]]], [[10, 19, 3,
5, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2,
-9/2], [9/4, 9/4], [-3, -3]]]], [[10, 19, 3, 5, 2], [v = 2^(1/2), 2 < u, And(-
u^2+1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [9/4, 9/4], [-3/2, -3/2
]]]], [[10, 19, 3, 5, 3], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [9/4, 9/4], [0, 0]]]], [[10, 
19, 3, 5, 4], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-9/2, -9/2], [9/4, 9/4], [3/2, 3/2]]]], [[10, 19, 3, 5, 5], [v = 2^(1/2), 2 <
u, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [9/4,
9/4], [3, 3]]]], [[11, 1, 5, 8, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-5, -5], [-1/2, -\
1/2], [31/2, 31/2], [0, 0]]]], [[11, 5, 6, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [
66399/131072, 531193/1048576], [-1, -1]]]], [[11, 5, 6, 6, 2], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [66399/131072, 531193/1048576], [0, 0]]]], [[11, 5, 6, 6, 3]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1,
0 < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [66399/131072, 531193/1048576], [1, 1]]]], [[11, 7
, 3, 9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), -x < y, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [3, 3], [0, 0]]]], [[11, 13, 1, 6,
1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y =
-x, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4
], [4, 4], [-1, -1]]]], [[11, 13, 1, 6, 2], [2^(1/2) < v, And((v^2-2)^(1/2) <
u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [-4, -4], [4, 4], [0, 0]]]], [[11, 13, 1, 6,
3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y =
-x, 0 < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4
], [4, 4], [1, 1]]]], [[11, 14, 5, 1, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And
(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455
/262144, 2965821/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[11, 14, 5, 1
, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1
/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[11, 14, 5, 1, 3], [2^(
1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576
], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[11, 14, 5, 1, 4], [2^(1/2) < v, u = (v
^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[11, 14, 5, 1, 5], [2^(1/2) < v, u = (v^2-1)^(1/
2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[11, 19,
1, 5, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2
-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [-4, -4], [1443353/524288, 1443353/524288]
, [-3, -3]]]], [[11, 19, 1, 5, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [-1170947/1048576, -585473/524288]]]], [[11,
19, 1, 5, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2
+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [0, 0]]]], [[11, 19, 1, 5, 4], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-4, -4], [1443353/524288, 1443353/524288], [585473/524288,
1170947/1048576]]]], [[11, 19, 1, 5, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [3, 3]]]], [[11, 20, 4, 1, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [-1, -1], [-3, -3], [-3, -3]]]], [[11, 20,
4, 1, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [-3, -3]
, [-2, -2]]]], [[11, 20, 4, 1, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y
< -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-1, -1], [-3, -3], [0, 0]]]], [[11, 20, 4,
1, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [-3, -3],
[2, 2]]]], [[11, 20, 4, 1, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y < -2
, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288]
, [-1, -1], [-3, -3], [3, 3]]]], [[1, 5, 8, 3, 1], [v < -2^(1/2), And(-(v^2+1)
^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-1, -1],
[-2, -2]]]], [[1, 5, 8, 3, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
= 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-3
, -3], [-403851/131072, -403851/131072], [0, 0], [-1, -1], [-1, -1]]]], [[1, 5
, 8, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-\
1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
-3, -3], [-403851/131072, -403851/131072], [0, 0], [-1, -1], [0, 0]]]], [[1, 5
, 8, 3, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-\
1 < y,y < u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [0, 0], [-1, -1], [1, 1]]]], [[1, 5, 8, 3, 5], [v < -
2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-\
1), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [0, 0], [-1, -1], [2, 2]]]], [[1, 7, 4, 9, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), x = -1, 1 < y, z = z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [2, 2], [0, 0]]]], [[1, 11, 6, 2
, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y = u^2
-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0, 0], [
-10, -10], [-5, -5]]]], [[1, 11, 6, 2, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [0, 0], [-10, -10], [-3315889/1048576, -\
207243/65536]]]], [[1, 11, 6, 2, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^
2+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-10, -10], [0, 0]]]]
, [[1, 11, 6, 2, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [0, 0], [-10, -10], [207243/65536, 3315889/1048576]]]], [[1, 11, 6, 2, 5],
[v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y = u^2-v^2-1
, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-10, -\
10], [5, 5]]]], [[1, 12, 8, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, 
And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[1, 12, 8, 3, 2], [v
< -2^(1/2), u = (v^2-2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [-5/2, -5/2]
, [-1284239/1048576, -642119/524288]]]], [[1, 12, 8, 3, 3], [v < -2^(1/2), u =
(v^2-2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/
2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [-5/2,
-5/2], [0, 0]]]], [[1, 12, 8, 3, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1,
And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]
], [[1, 12, 8, 3, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, And(-4 < y,y <
-1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [1, 1], [-5/2, -5/2], [3, 3]]]], [[1, 19, 3, 2, 1], [v < -2^(1/2), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2
-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [-1566621/2097152, -391655
/524288], [-3, -3]]]], [[1, 19, 3, 2, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [
-915943/524288, -915943/524288], [-1566621/2097152, -391655/524288], [-1655969
/1048576, -3311937/2097152]]]], [[1, 19, 3, 2, 3], [v < -2^(1/2), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-\
1566621/2097152, -391655/524288], [-1/4194304, -1/4194304]]]], [[1, 19, 3, 2,
4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3]
, [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-\
1566621/2097152, -391655/524288], [51749/32768, 1655969/1048576]]]], [[1, 19,
3, 2, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^
2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288],
[-1566621/2097152, -391655/524288], [3, 3]]]], [[1, 20, 5, 1, 1], [v < -2^(1/2
), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-4
, -4], [-4, -4]]]], [[1, 20, 5, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-\
1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-1/2, -1/2], [-4, -4], [-1112183/524288, -\
2224365/1048576]]]], [[1, 20, 5, 1, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(
-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-4
, -4], [0, 0]]]], [[1, 20, 5, 1, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1
< x,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/
524288]]]], [[1, 20, 5, 1, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x
< 0), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576
, 1738867/524288], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[2, 3, 4, 5, 1], [v = -
2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 3, 4, 5, 2], [v = -2
^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[2, 3, 4, 5, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y
,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [1/2
, 1/2], [0, 0]]]], [[2, 3, 4, 5, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [1/2, 1/2],
[741455/1048576, 46341/65536]]]], [[2, 3, 4, 5, 5], [v = -2^(1/2), And(-2 < u,
u < -3^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -\
1], [1/2, 1/2], [2, 2]]]], [[2, 4, 8, 2, 1], [v = -2^(1/2), u = -3^(1/2), x =
1, y = -3, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1816187/1048576, -3632373/2097152], [1, 1], [-3, -3], [-3, -3]]]], [[2, 4, 8
, 2, 2], [v = -2^(1/2), u = -3^(1/2), x = 1, y = -3, z = -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[2
, 4, 8, 2, 3], [v = -2^(1/2), u = -3^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [1, 1], [-3, -3], [0, 0]]]], [[2, 4, 8, 2, 4], [v
= -2^(1/2), u = -3^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1]
, [-3, -3], [741455/524288, 1482911/1048576]]]], [[2, 4, 8, 2, 5], [v = -2^(1/
2), u = -3^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1], [-3, -\
3], [3, 3]]]], [[2, 7, 4, 6, 1], [v = -2^(1/2), And(v < u,u < -1), x = -1, y =
-u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [569265/1048576, 
284633/524288], [-2, -2]]]], [[2, 7, 4, 6, 2], [v = -2^(1/2), And(v < u,u < -1
), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [569265/
1048576, 284633/524288], [-1417877/2097152, -354469/524288]]]], [[2, 7, 4, 6,
3], [v = -2^(1/2), And(v < u,u < -1), x = -1, y = -u^2+2, And(-(u^2-1)^(1/2) <
z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [569265/1048576, 284633/524288],
[0, 0]]]], [[2, 7, 4, 6, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, y = -u^
2+2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [-1, -1], [569265/1048576, 284633/524288
], [354469/524288, 708939/1048576]]]], [[2, 7, 4, 6, 5], [v = -2^(1/2), And(v
< u,u < -1), x = -1, y = -u^2+2, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -\
1], [569265/1048576, 284633/524288], [2, 2]]]], [[2, 8, 8, 3, 1], [v = -2^(1/2
), u = -1, x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-2, -2], [-2, -2]]]], [[2
, 8, 8, 3, 2], [v = -2^(1/2), u = -1, x = 1, And(-3 < y,y < -1), z = -(-y-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1],
[-2, -2], [-1, -1]]]], [[2, 8, 8, 3, 3], [v = -2^(1/2), u = -1, x = 1, And(-3
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-2, -2], [0, 0]]]], [[2,
8, 8, 3, 4], [v = -2^(1/2), u = -1, x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-2
, -2], [1, 1]]]], [[2, 8, 8, 3, 5], [v = -2^(1/2), u = -1, x = 1, And(-3 < y,y
< -1), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1, -1], [1, 1], [-2, -2], [2, 2]]]], [[2, 12, 9, 7, 1], [v = -2^(1/2), u = 1
, 1 < x, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1, 1], [2, 2], [1, 1], [0, 0]]]], [[2, 14, 3, 5, 1], [v = -2^(1/2), u = -v, 
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1/
2], [1/4, 1/4], [-2, -2]]]], [[2, 14, 3, 5, 2], [v = -2^(1/2), u = -v, And(-1
< x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4
, 1/4], [-1/2, -1/2]]]], [[2, 14, 3, 5, 3], [v = -2^(1/2), u = -v, And(-1 < x,
x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2, 14, 3, 5, 4], [v = -2^(1/2
), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 14, 3, 5, 5], [v = -2^
(1/2), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3, 1, 4, 7, 1], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), x = -1, And(1 < y,y < u^2-v^2), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [
8957873/2097152, 8957873/2097152], [0, 0]]]], [[3, 2, 6, 6, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = 1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [0,
0], [1, 1], [0, 0]]]], [[3, 7, 2, 6, 1], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [1646781/1048576, 823391/524288], [-1, -1]
]]], [[3, 7, 2, 6, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)
), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -\
1646781/1048576], [1646781/1048576, 823391/524288], [0, 0]]]], [[3, 7, 2, 6, 3
], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y
= -u^2+v^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
1646781/1048576, 823391/524288], [1, 1]]]], [[3, 8, 5, 6, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[3, 8, 5, 6, 2], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[3, 8, 5, 6, 3], [And(-2
^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 1, 5, 2, 1], [v = -1
, u < -3^(1/2), And(-1 < x,x < 0), y = -u^2-x, z < u], [regular_chain, [[-1, -\
1], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [-4, -4]]]], [[4, 1, 5, 2, 2], [v
= -1, u < -3^(1/2), And(-1 < x,x < 0), y = -u^2-x, z = u], [regular_chain, [[-\
1, -1], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [-3, -3]]]], [[4, 1, 5, 2, 3],
[v = -1, u < -3^(1/2), And(-1 < x,x < 0), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [0, 0]]]], [
[4, 1, 5, 2, 4], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y = -u^2-x, z = -u]
, [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [3, 3]]]]
, [[4, 1, 5, 2, 5], [v = -1, u < -3^(1/2), And(-1 < x,x < 0), y = -u^2-x, -u <
z], [regular_chain, [[-1, -1], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [4, 4]]
]], [[4, 2, 7, 3, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[4, 2, 7, 3, 2], [v = -1
, u = -3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-\
2, -2], [-1284239/1048576, -642119/524288]]]], [[4, 2, 7, 3, 3], [v = -1, u =
-3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[1/2, 1/2], [-2, -2], [0, 0]]]], [[4, 2, 7, 3, 4], [v = -1, u = -3^(1/2), And(
0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-2, -2], [642119/524288
, 1284239/1048576]]]], [[4, 2, 7, 3, 5], [v = -1, u = -3^(1/2), And(0 < x,x <
1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [-2, -2], [3, 3]]]], [[4, 7, 3
, 1, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y < u^2-x-2, z < -
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-2, -\
2], [-3, -3]]]], [[4, 7, 3, 1, 2], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x
< -1), y < u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2
], [-11/8, -11/8], [-2, -2], [-7705429/4194304, -1926357/1048576]]]], [[4, 7,
3, 1, 3], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y < u^2-x-2, And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2],
[-11/8, -11/8], [-2, -2], [0, 0]]]], [[4, 7, 3, 1, 4], [v = -1, And(-1 < u,u <
0), And(u^2-2 < x,x < -1), y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [-1/2, -1/2], [-11/8, -11/8], [-2, -2], [1926357/1048576, 963179/
524288]]]], [[4, 7, 3, 1, 5], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1
), y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-\
11/8, -11/8], [-2, -2], [3, 3]]]], [[4, 8, 6, 1, 1], [v = -1, u = 0, x = 0, y
< -2, z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-3, -3], [
-3, -3]]]], [[4, 8, 6, 1, 2], [v = -1, u = 0, x = 0, y < -2, z = -(-y)^(1/2)],
[regular_chain, [[-1, -1], [0, 0], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 8, 6, 1, 3], [v = -1, u = 0, x = 0, y < -2, And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-3,
-3], [-1/4194304, -1/4194304]]]], [[4, 8, 6, 1, 4], [v = -1, u = 0, x = 0, y <
-2, z = (-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[4, 8, 6, 1, 5], [v = -1, u = 0, x = 0, y
< -2, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-3, -3], [3
, 3]]]], [[4, 14, 9, 1, 1], [v = -1, u = 3^(1/2), 1 < x, y < -x-3, z < -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2],
[-6, -6], [-3, -3]]]], [[4, 14, 9, 1, 2], [v = -1, u = 3^(1/2), 1 < x, y < -x-\
3, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [2, 2], [-6, -6], [-2, -2]]]], [[4, 14, 9, 1, 3], [v = -1, u = 3^(1/
2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [-6, -6], [0, 0]]]], [[4,
14, 9, 1, 4], [v = -1, u = 3^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2], [-6, -6],
[2, 2]]]], [[4, 14, 9, 1, 5], [v = -1, u = 3^(1/2), 1 < x, y < -x-3, (-x-y)^(1
/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [2, 2],
[-6, -6], [3, 3]]]], [[5, 1, 1, 9, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [-11, -11], [20, 20], [0, 0]]]], [[5, 5, 3, 2, 1], [And(-1 < v,v < 0), And
(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -\
106039/524288], [-3, -3]]]], [[5, 5, 3, 2, 2], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -106039/
524288], [-19417/16384, -1242687/1048576]]]], [[5, 5, 3, 2, 3], [And(-1 < v,v
< 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-
x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/
2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-212079/1048576, -106039/524288], [0, 0]]]], [[5, 5, 3, 2, 4], [And
(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631
/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/
1048576, -106039/524288], [1242687/1048576, 19417/16384]]]], [[5, 5, 3, 2, 5],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
212079/1048576, -106039/524288], [3, 3]]]], [[5, 6, 6, 4, 1], [And(-1 < v,v <
0), u = v, x = 1, y = -1, z < 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[1, 1], [-1, -1], [-1, -1]]]], [[5, 6, 6, 4, 2], [And(-1 < v,v < 0), u = v, x
= 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-1,
-1], [0, 0]]]], [[5, 6, 6, 4, 3], [And(-1 < v,v < 0), u = v, x = 1, y = -1, 0
< z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-1, -1], [1, 1]]]]
, [[5, 9, 5, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-2, -2], [-3, -3]]]], [[5, 9, 5, 1, 2], [And(-1 < v,v < 0), And(-v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-1672995/2097152, -1672995/2097152], [-2, -2], [-1753897/1048576, -3507793/
2097152]]]], [[5, 9, 5, 1, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [-1672995/2097152, -1672995/2097152], [-2, -2], [-1/4194304, -1/4194304]]]],
[[5, 9, 5, 1, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 <
x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152
], [-2, -2], [219237/131072, 1753897/1048576]]]], [[5, 9, 5, 1, 5], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v
^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-2, -2], [3, 3]]]], [
[5, 10, 8, 7, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, 0 < y, z = z],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [1, 1
], [0, 0]]]], [[6, 1, 8, 2, 1], [v = 0, u < -2^(1/2), x = 1, y = -u^2-2, z < -
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1, 1], [-11, -11], [-5, -5
]]]], [[6, 1, 8, 2, 2], [v = 0, u < -2^(1/2), x = 1, y = -u^2-2, z = -(u^2+1)^
(1/2)], [regular_chain, [[0, 0], [-3, -3], [1, 1], [-11, -11], [-3315889/
1048576, -207243/65536]]]], [[6, 1, 8, 2, 3], [v = 0, u < -2^(1/2), x = 1, y =
-u^2-2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [
-3, -3], [1, 1], [-11, -11], [0, 0]]]], [[6, 1, 8, 2, 4], [v = 0, u < -2^(1/2)
, x = 1, y = -u^2-2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1
, 1], [-11, -11], [207243/65536, 3315889/1048576]]]], [[6, 1, 8, 2, 5], [v = 0
, u < -2^(1/2), x = 1, y = -u^2-2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0]
, [-3, -3], [1, 1], [-11, -11], [5, 5]]]], [[6, 3, 1, 3, 1], [v = 0, And(-2^(1
/2) < u,u < -1), x < -u^2-1, And(0 < y,y < -u^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
1617841/2097152, 1617841/2097152], [-3, -3]]]], [[6, 3, 1, 3, 2], [v = 0, And(
-2^(1/2) < u,u < -1), x < -u^2-1, And(0 < y,y < -u^2-x-1), z = -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
1617841/2097152, 1617841/2097152], [-471025/262144, -7536399/4194304]]]], [[6,
3, 1, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, And(0 < y,y < -u^2-
x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-4, -4], [1617841/2097152, 1617841/
2097152], [-3/8388608, -3/8388608]]]], [[6, 3, 1, 3, 4], [v = 0, And(-2^(1/2)
< u,u < -1), x < -u^2-1, And(0 < y,y < -u^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
1617841/2097152, 1617841/2097152], [1884099/1048576, 471025/262144]]]], [[6, 3
, 1, 3, 5], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, And(0 < y,y < -u^2-x
-1), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-4, -4], [1617841/2097152, 1617841/2097152], [3, 3]]]], [[6, 9, 5,
2, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = -u^2-x-1, z < -(
u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
1/2, -1/2], [-8208699/4194304, -32834795/16777216], [-3, -3]]]], [[6, 9, 5, 2,
2], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = -u^2-x-1, z = -(u^2
+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2
, -1/2], [-8208699/4194304, -32834795/16777216], [-410915/262144, -3287319/
2097152]]]], [[6, 9, 5, 2, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x <
0), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-8208699/4194304,
-32834795/16777216], [-1/4194304, -1/4194304]]]], [[6, 9, 5, 2, 4], [v = 0, 
And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = -u^2-x-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-\
8208699/4194304, -32834795/16777216], [1643659/1048576, 410915/262144]]]], [[6
, 9, 5, 2, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = -u^2-x-1
, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [-8208699/4194304, -32834795/16777216], [3, 3]]]], [[6
, 10, 7, 3, 1], [v = 0, u = 2^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [
1/2, 1/2], [-2, -2], [-3, -3]]]], [[6, 10, 7, 3, 2], [v = 0, u = 2^(1/2), And(
0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0
], [741455/524288, 1482911/1048576], [1/2, 1/2], [-2, -2], [-1284239/1048576,
-642119/524288]]]], [[6, 10, 7, 3, 3], [v = 0, u = 2^(1/2), And(0 < x,x < 1),
And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]],
[[6, 10, 7, 3, 4], [v = 0, u = 2^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576]
, [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[6, 10, 7, 3, 5]
, [v = 0, u = 2^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [-2
, -2], [3, 3]]]], [[7, 3, 6, 3, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [-\
1291597/1048576, -1291597/1048576], [-3, -3]]]], [[7, 3, 6, 3, 2], [And(0 < v,
v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,
y < 0), z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [0, 0], [-1291597/1048576, -1291597/1048576], [-1163761/
1048576, -72735/65536]]]], [[7, 3, 6, 3, 3], [And(0 < v,v < 1), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2
) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [0, 0], [-1291597/1048576, -1291597/1048576], [0, 0]]]], [[7, 3, 6, 3
, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, 
And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [0, 0], [-1291597/1048576, -1291597/1048576],
[72735/65536, 1163761/1048576]]]], [[7, 3, 6, 3, 5], [And(0 < v,v < 1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(
1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0,
0], [-1291597/1048576, -1291597/1048576], [3, 3]]]], [[7, 5, 1, 4, 1], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [836497/524288, 1672995/1048576], [-3, -3]]]], [[7
, 5, 1, 4, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2
-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [836497/524288, 1672995/1048576]
, [-19417/16384, -1242687/1048576]]]], [[7, 5, 1, 4, 3], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^
2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631
/2097152, -1696631/2097152], [-3, -3], [836497/524288, 1672995/1048576], [0, 0
]]]], [[7, 5, 1, 4, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1
/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [836497/524288, 1672995/
1048576], [1242687/1048576, 19417/16384]]]], [[7, 5, 1, 4, 5], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-3, -3], [836497/524288, 1672995/1048576], [3, 3]]]], [[8, 1, 10, 2
, 1], [v = 1, u < -3^(1/2), x = u^2-2, y = -2*u^2+2, z < u], [regular_chain, [
[1, 1], [-3, -3], [7, 7], [-16, -16], [-4, -4]]]], [[8, 1, 10, 2, 2], [v = 1,
u < -3^(1/2), x = u^2-2, y = -2*u^2+2, z = u], [regular_chain, [[1, 1], [-3, -\
3], [7, 7], [-16, -16], [-3, -3]]]], [[8, 1, 10, 2, 3], [v = 1, u < -3^(1/2),
x = u^2-2, y = -2*u^2+2, And(u < z,z < -u)], [regular_chain, [[1, 1], [-3, -3]
, [7, 7], [-16, -16], [0, 0]]]], [[8, 1, 10, 2, 4], [v = 1, u < -3^(1/2), x =
u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-16,
-16], [3, 3]]]], [[8, 1, 10, 2, 5], [v = 1, u < -3^(1/2), x = u^2-2, y = -2*u^
2+2, -u < z], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-16, -16], [4, 4]]]]
, [[8, 3, 3, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -\
1), u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [4, 4], [0, 0]]]], [[8, 7, 8,
3, 1], [v = 1, And(-1 < u,u < 0), x = 0, And(u^2-2 < y,y < -u^2), z < -(-y)^(1
/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-1, -1], [-2, -2]]]], [[
8, 7, 8, 3, 2], [v = 1, And(-1 < u,u < 0), x = 0, And(u^2-2 < y,y < -u^2), z =
-(-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-1, -1], [-1, -1
]]]], [[8, 7, 8, 3, 3], [v = 1, And(-1 < u,u < 0), x = 0, And(u^2-2 < y,y < -u
^2), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/
2], [0, 0], [-1, -1], [0, 0]]]], [[8, 7, 8, 3, 4], [v = 1, And(-1 < u,u < 0),
x = 0, And(u^2-2 < y,y < -u^2), z = (-y)^(1/2)], [regular_chain, [[1, 1], [-1/
2, -1/2], [0, 0], [-1, -1], [1, 1]]]], [[8, 7, 8, 3, 5], [v = 1, And(-1 < u,u
< 0), x = 0, And(u^2-2 < y,y < -u^2), (-y)^(1/2) < z], [regular_chain, [[1, 1]
, [-1/2, -1/2], [0, 0], [-1, -1], [2, 2]]]], [[8, 9, 3, 8, 1], [v = 1, And(0 <
u,u < 1), And(u^2-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[1, 1], [1/2
, 1/2], [-11/8, -11/8], [11/8, 11/8], [-1, -1]]]], [[8, 9, 3, 8, 2], [v = 1, 
And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[1,
1], [1/2, 1/2], [-11/8, -11/8], [11/8, 11/8], [0, 0]]]], [[8, 9, 3, 8, 3], [v
= 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[1, 1], [1/2, 1/2], [-11/8, -11/8], [11/8, 11/8], [1, 1]]]], [[8, 15, 5, 1, 1
], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-10, -10], [-5, -5]]]], [[8, 15
, 5, 1, 2], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y < -u^2-x, z = -(-x-y)^(1
/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-10, -10], [-3397775/
1048576, -1698887/524288]]]], [[8, 15, 5, 1, 3], [v = 1, 3^(1/2) < u, And(-1 <
x,x < 0), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1, 1], [3, 3], [-1/2, -1/2], [-10, -10], [0, 0]]]], [[8, 15, 5, 1, 4], [v
= 1, 3^(1/2) < u, And(-1 < x,x < 0), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-10, -10], [1698887/524288, 
3397775/1048576]]]], [[8, 15, 5, 1, 5], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0)
, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2]
, [-10, -10], [5, 5]]]], [[9, 1, 7, 6, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+
2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [1/2, 1/2], [0, 0], [0, 0]]]], [[9, 5, 8, 4, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [0, 0], [-1116679/2097152, -558339/
1048576], [-2, -2]]]], [[9, 5, 8, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)
^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1116679/2097152, -558339/1048576], [-1530309/
2097152, -382577/524288]]]], [[9, 5, 8, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [0, 0], [-1116679/2097152, -558339/
1048576], [0, 0]]]], [[9, 5, 8, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1116679/2097152, -558339/1048576], [382577/524288,
765155/1048576]]]], [[9, 5, 8, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1
/2) < u,u < -v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
0, 0], [-1116679/2097152, -558339/1048576], [2, 2]]]], [[9, 7, 5, 5, 1], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1)
, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [149551/1048576, 149551/1048576], [-2, -2]]]], [[9
, 7, 5, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1
< x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/1048576, 
149551/1048576], [-49571/65536, -3172543/4194304]]]], [[9, 7, 5, 5, 3], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1),
And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/1048576, 
149551/1048576], [-3/8388608, -3/8388608]]]], [[9, 7, 5, 5, 4], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 <
y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [149551/1048576, 149551/1048576], [793135/1048576, 49571/
65536]]]], [[9, 7, 5, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^
(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/1048576, 
149551/1048576], [2, 2]]]], [[9, 9, 8, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 0),
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/
524288, 479311/1048576], [-239655/1048576, -239655/1048576], [0, 0]]]], [[9, 
11, 4, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y
< u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [
[9, 11, 4, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -\
1, y < u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[9, 11, 4, 1, 3], [And(1 < v,v < 2^(1/2)), And
((v^2-1)^(1/2) < u,u < v), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 11, 4
, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y < u^
2-v^2, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/
1048576]]]], [[9, 11, 4, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), x = -1, y < u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [-2, -2
], [3, 3]]]], [[9, 15, 8, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [-250983/524288, -501965/1048576], [-1, -1]]]], [[9,
15, 8, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [-250983/524288, -501965/1048576], [0, 0]]]], [[9, 15, 8, 4, 3], [And
(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1,
y = -u^2+v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [501965/1048576, 250983/524288], [-250983/
524288, -501965/1048576], [1, 1]]]], [[9, 17, 1, 9, 1], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [18, 18], [0, 0]]]],
[[10, 5, 8, 6, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y = 0, z < 0
], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [0, 0], [0, 0], [-1, -1]]]], [[10, 5, 8, 6, 2], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), x = 0, y = 0, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [0, 0]
, [0, 0]]]], [[10, 5, 8, 6, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0,
y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [0, 0], [0, 0], [1, 1]]]], [[10, 7, 5, 7, 1], [v =
2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2
, 1/2], [-2, -2]]]], [[10, 7, 5, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), And(
-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [-31331/65536, -\
501295/1048576]]]], [[10, 7, 5, 7, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-\
1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [0, 0]]]]
, [[10, 7, 5, 7, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1),
And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [1/2, 1/2], [501295/1048576, 31331/65536]]]], [[10, 7, 5, 7,
5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152],
[1/2, 1/2], [2, 2]]]], [[10, 11, 6, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), x =
0, And(0 < y,y < -u^2+1), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [0, 0], [3/8, 3/8], [0, 0]]]], [[10, 13, 2, 1, 1], [v =
2^(1/2), And(1 < u,u < v), x = u^2-3, y < 0, z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [-3, -3]]]], [[10, 
13, 2, 1, 2], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y < 0, z = -(-u^2-y+3
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [-1672107/
1048576, -3344213/2097152]]]], [[10, 13, 2, 1, 3], [v = 2^(1/2), And(1 < u,u <
v), x = u^2-3, y < 0, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [-1/4194304, -1/
4194304]]]], [[10, 13, 2, 1, 4], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y
< 0, z = (-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [-1,
-1], [836053/524288, 1672107/1048576]]]], [[10, 13, 2, 1, 5], [v = 2^(1/2), 
And(1 < u,u < v), x = u^2-3, y < 0, (-u^2-y+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683
/2097152, -1617841/1048576], [-1, -1], [3, 3]]]], [[11, 3, 7, 3, 1], [2^(1/2)
< v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And
(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-391655/
262144, -391655/262144], [-3, -3]]]], [[11, 3, 7, 3, 2], [2^(1/2) < v, And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [129511/524288, 129511/524288], [-391655/262144, -391655/
262144], [-1170947/1048576, -585473/524288]]]], [[11, 3, 7, 3, 3], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-
u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [-391655/262144, -391655/262144], [0, 0]]]], [[11, 3, 7, 3, 4]
, [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-
v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-\
391655/262144, -391655/262144], [585473/524288, 1170947/1048576]]]], [[11, 3,
7, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,
x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [-391655/262144, -391655/262144], [3, 3]]]], [[11, 5, 2, 6, 1]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1,
z < 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/
131072, -1565959/1048576], [1565959/1048576, 195745/131072], [-1, -1]]]], [[11
, 5, 2, 6, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y
= u^2-v^2+1, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-195745/131072, -1565959/1048576], [1565959/1048576, 195745/131072], [0, 0]
]]], [[11, 5, 2, 6, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2
+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [1565959/1048576, 195745/
131072], [1, 1]]]], [[11, 9, 6, 7, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = 0, -u^2+v^2-1 < y, z = z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [0, 0], [2, 2], [0, 0]]]], [[11, 10, 9,
5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-3/2, -\
3/2], [0, 0]]]], [[11, 17, 1, 9, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)
), x < -u^2+v^2-1, -x < y, z = z], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-3, -3], [4, 4], [0, 0]]]], [[11, 18, 5, 4, 1], [2^(1/2) < v,
u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [
[11, 18, 5, 4, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-\
1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[11, 18, 5, 4, 3]
, [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576],
[-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 18, 5, 4, 4], [2^(1/2) < v, u = (v^2+1)
^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/
65536]]]], [[11, 18, 5, 4, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x <
0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 1, 11, 6, 1], [v < -2^(1/2), u
< -(v^2+2)^(1/2), u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[-3
, -3], [-5, -5], [16, 16], [-1, -1], [0, 0]]]], [[1, 3, 4, 7, 1], [v < -2^(1/2
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(1 < y,y < u^2-v^2),
z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1,
-1], [653799/524288, 653799/524288], [0, 0]]]], [[1, 7, 9, 7, 1], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z = z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [
-1/4, -1/4], [0, 0]]]], [[1, 9, 4, 6, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [1, 1], [-1, -1]]]], [[1, 9, 4
, 6, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y
= 1, z = 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [-1, -1], [1, 1], [0, 0]]]], [[1, 9, 4, 6, 3], [v < -2^(1/2), And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3]
, [-22960369/8388608, -22960369/8388608], [-1, -1], [1, 1], [1, 1]]]], [[1, 15
, 2, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, -u^2+
v^2+1 < y, z = z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [3, 3], [0, 0]]]], [[1, 16, 6, 2
, 1], [v < -2^(1/2), u = -v, x = 1, y = -2, z < -1], [regular_chain, [[-3, -3]
, [3, 3], [1, 1], [-2, -2], [-2, -2]]]], [[1, 16, 6, 2, 2], [v < -2^(1/2), u =
-v, x = 1, y = -2, z = -1], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-2, -2
], [-1, -1]]]], [[1, 16, 6, 2, 3], [v < -2^(1/2), u = -v, x = 1, y = -2, And(-\
1 < z,z < 1)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-2, -2], [0, 0]]]],
[[1, 16, 6, 2, 4], [v < -2^(1/2), u = -v, x = 1, y = -2, z = 1], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [-2, -2], [1, 1]]]], [[1, 16, 6, 2,
5], [v < -2^(1/2), u = -v, x = 1, y = -2, 1 < z], [regular_chain, [[-3, -3], [
3, 3], [1, 1], [-2, -2], [2, 2]]]], [[1, 20, 9, 8, 1], [v < -2^(1/2), u = (v^2
+2)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-3, -3], [3477733/1048576,
1738867/524288], [2, 2], [0, 0], [0, 0]]]], [[2, 1, 2, 7, 1], [v = -2^(1/2), u
< -2, x = -u^2+1, 2*u^2-4 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-8, -8], [15, 15], [0, 0]]]], [[2, 11, 1, 3, 1], [v
= -2^(1/2), And(0 < u,u < 1), x < u^2-3, And(0 < y,y < u^2-x-3), z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -\
4], [5/8, 5/8], [-3, -3]]]], [[2, 11, 1, 3, 2], [v = -2^(1/2), And(0 < u,u < 1
), x < u^2-3, And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [5/8, 5/8], [-7705429/
4194304, -1926357/1048576]]]], [[2, 11, 1, 3, 3], [v = -2^(1/2), And(0 < u,u <
1), x < u^2-3, And(0 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4],
[5/8, 5/8], [0, 0]]]], [[2, 11, 1, 3, 4], [v = -2^(1/2), And(0 < u,u < 1), x <
u^2-3, And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-4, -4], [5/8, 5/8], [1926357/1048576,
963179/524288]]]], [[2, 11, 1, 3, 5], [v = -2^(1/2), And(0 < u,u < 1), x < u^2
-3, And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-4, -4], [5/8, 5/8], [3, 3]]]], [[2, 12
, 4, 1, 1], [v = -2^(1/2), u = 1, x = -1, y < -1, z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-2, -2]
, [-3, -3]]]], [[2, 12, 4, 1, 2], [v = -2^(1/2), u = 1, x = -1, y < -1, z = -(
1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1,
-1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 4, 1, 3], [v
= -2^(1/2), u = 1, x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[2, 12, 4, 1, 4], [v = -2^(1/2), u = 1, x = -1
, y < -1, z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1, 1], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[2, 12, 4
, 1, 5], [v = -2^(1/2), u = 1, x = -1, y < -1, (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-2, -2]
, [3, 3]]]], [[2, 17, 1, 2, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-4, -4], [0, 0], [-3, -3]]]], [[
2, 17, 1, 2, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[2, 17, 1, 2, 3], [
v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-4, -4], [0, 0], [0, 0]]]], [[2, 17, 1, 2, 4], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-4, -4], [0, 0], [2, 2]]]], [[2, 17, 1, 2, 5], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), x < -u^2+1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4]
, [0, 0], [3, 3]]]], [[2, 18, 3, 3, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -\
1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[2, 18
, 3, 3, 2], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [
-2, -2], [-1/2, -1/2], [-3315889/2097152, -207243/131072]]]], [[2, 18, 3, 3, 3
], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[2, 18, 3, 3, 4], [v = -2
^(1/2), u = 2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1/2, -\
1/2], [207243/131072, 1657945/1048576]]]], [[2, 18, 3, 3, 5], [v = -2^(1/2), u
= 2, And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-1/2, -\
1/2], [3, 3]]]], [[3, 5, 1, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/
2) < u,u < v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [1606915/1048576, 401729/262144], [-3, -3]]]], [[3
, 5, 1, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -
u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [1606915/1048576, 401729/262144], [-1270261/1048576, -317565/262144]]]],
[[3, 5, 1, 4, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-3, -3], [1606915/1048576, 401729/262144], [0, 0]]]], [[
3, 5, 1, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [1606915/1048576, 401729/262144], [317565/262144, 1270261/1048576]]]], [[
3, 5, 1, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [1606915/1048576, 401729/262144], [3, 3]]]], [[3, 6, 4, 2, 1], [And(-2^(1
/2) < v,v < -1), u = v, x = 0, y = -1, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1,
-1], [-2, -2]]]], [[3, 6, 4, 2, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y
= -1, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[3, 6, 4,
2, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y = -1, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[3, 6, 4, 2, 4], [And(-2^(1/2)
< v,v < -1), u = v, x = 0, y = -1, z = 1], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [1,
1]]]], [[3, 6, 4, 2, 5], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y = -1, 1 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [0, 0], [-1, -1], [2, 2]]]], [[3, 11, 1, 3, 1], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^
2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [1498947/2097152, 
1498947/2097152], [-3, -3]]]], [[3, 11, 1, 3, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [-3, -3], [1498947/2097152, 1498947/2097152], [-\
99071/65536, -3170271/2097152]]]], [[3, 11, 1, 3, 3], [And(-2^(1/2) < v,v < -1
), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1498947/
2097152, 1498947/2097152], [-1/4194304, -1/4194304]]]], [[3, 11, 1, 3, 4], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(0
< y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1498947/2097152
, 1498947/2097152], [1585135/1048576, 99071/65536]]]], [[3, 11, 1, 3, 5], [And
(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(0 < y
,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1498947/2097152
, 1498947/2097152], [3, 3]]]], [[3, 12, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u
= -v, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [-3, -\
3]]]], [[3, 12, 4, 1, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, y < -1, z
= -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [-1482911/1048576, -\
741455/524288]]]], [[3, 12, 4, 1, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = 0
, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-2, -\
2], [0, 0]]]], [[3, 12, 4, 1, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, y
< -1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [741455/524288, 1482911/
1048576]]]], [[3, 12, 4, 1, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, y <
-1, (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-2, -2], [3, 3]]]], [[3, 15, 1, 5,
1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -
u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4]
, [5789491/2097152, 5789491/2097152], [-3, -3]]]], [[3, 15, 1, 5, 2], [And(-2^
(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, 
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [5789491
/2097152, 5789491/2097152], [-583671/524288, -1167341/1048576]]]], [[3, 15, 1,
5, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
< -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-4, -4], [5789491/2097152, 5789491/2097152], [0, 0]]]], [[3,
15, 1, 5, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [5789491/2097152, 5789491/2097152], [1167341/1048576, 
583671/524288]]]], [[3, 15, 1, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327
/524288, 898327/524288], [-4, -4], [5789491/2097152, 5789491/2097152], [3, 3]]
]], [[3, 16, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 <
x,x < -1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[3,
16, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1)
, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [2, 2], [0, 0]]]], [[3, 16, 3, 6, 3]
, [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-2, -2], [2, 2], [1, 1]]]], [[4, 3, 2, 6, 1], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = 2*u^2-2, z = z], [regular_chain, [[-\
1, -1], [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/
524288], [773191/262144, 3092765/1048576], [0, 0]]]], [[4, 4, 5, 6, 1], [v = -\
1, u = -2^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[4
, 4, 5, 6, 2], [v = -1, u = -2^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [-1/2, -1/2], [1
/2, 1/2], [0, 0]]]], [[4, 4, 5, 6, 3], [v = -1, u = -2^(1/2), And(-1 < x,x < 0
), y = -x, 0 < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 11, 3, 4, 1], [v = -1, And(
1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [0, 0], [-3, -3]]]], [[4, 11, 3, 4, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [0, 0], [-1162243/1048576, -581121/524288]]]], [[4
, 11, 3, 4, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [0, 0
]]]], [[4, 11, 3, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1)
, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743
/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [581121/524288, 
1162243/1048576]]]], [[4, 11, 3, 4, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-
u^2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [3, 3
]]]], [[4, 12, 6, 4, 1], [v = -1, u = 2^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [0, 0], [-\
1, -1]]]], [[4, 12, 6, 4, 2], [v = -1, u = 2^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [0, 0], [0
, 0]]]], [[4, 12, 6, 4, 3], [v = -1, u = 2^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [0, 0], [1
, 1]]]], [[5, 1, 6, 3, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, And(
-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [0, 0], [-39/8, -39/8], [-4, -4]]]], [[5, 1, 6, 3, 2], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-39/8, -39/8], [-1157597/
524288, -2315193/1048576]]]], [[5, 1, 6, 3, 3], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-39/8, -39/8], [0, 0]]]]
, [[5, 1, 6, 3, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^
2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [0,
0], [-39/8, -39/8], [2315193/1048576, 1157597/524288]]]], [[5, 1, 6, 3, 5], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^
(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-39/8, -39/8], [
4, 4]]]], [[5, 2, 8, 4, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y =
-1, z < 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-1, -1], [-1
, -1]]]], [[5, 2, 8, 4, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y =
-1, z = 0], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-1, -1], [0,
0]]]], [[5, 2, 8, 4, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), x = 1, y = -1
, 0 < z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1, 1], [-1, -1], [1, 1
]]]], [[5, 13, 1, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1
, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3],
[-11, -11], [119/8, 119/8], [0, 0]]]], [[6, 1, 3, 8, 1], [v = 0, u < -2^(1/2),
And(-u^2-1 < x,x < -1), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [-3, -3]
, [-11/2, -11/2], [27/2, 27/2], [0, 0]]]], [[6, 5, 4, 8, 1], [v = 0, And(-1 <
u,u < 0), x = -1, y = 1, z < 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -\
1], [1, 1], [-1, -1]]]], [[6, 5, 4, 8, 2], [v = 0, And(-1 < u,u < 0), x = -1,
y = 1, z = 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1, 1], [0, 0]
]]], [[6, 5, 4, 8, 3], [v = 0, And(-1 < u,u < 0), x = -1, y = 1, 0 < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1, 1], [1, 1]]]], [[6, 7, 1,
5, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(-u^2-x-1 < y,y < u^2-x-1), z
< -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [2, 2], [-2,
-2]]]], [[6, 7, 1, 5, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(-u^2-x-1 <
y,y < u^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3,
-3], [2, 2], [-1, -1]]]], [[6, 7, 1, 5, 3], [v = 0, And(0 < u,u < 1), x < -u^2
-1, And(-u^2-x-1 < y,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [2, 2], [0, 0]]]], [[6, 7, 1, 5,
4], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(-u^2-x-1 < y,y < u^2-x-1), z = (
-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [2, 2], [1, 1]]]]
, [[6, 7, 1, 5, 5], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(-u^2-x-1 < y,y <
u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [2
, 2], [2, 2]]]], [[7, 1, 8, 8, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x =
1, y = u^2-v^2-2, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [27/4
, 27/4], [0, 0]]]], [[7, 3, 1, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [6, 6], [0, 0]]]],
[[7, 7, 6, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0
, 0], [-3/4, -3/4], [3/8, 3/8], [-2, -2]]]], [[7, 7, 6, 5, 2], [And(0 < v,v <
1), And(-v < u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2
-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [3/8, 3/8], [
-1284239/2097152, -642119/1048576]]]], [[7, 7, 6, 5, 3], [And(0 < v,v < 1), 
And(-v < u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1
)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-\
3/4, -3/4], [3/8, 3/8], [0, 0]]]], [[7, 7, 6, 5, 4], [And(0 < v,v < 1), And(-v
< u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [3/8, 3/8], [642119/
1048576, 80265/131072]]]], [[7, 7, 6, 5, 5], [And(0 < v,v < 1), And(-v < u,u <
v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [3/8, 3/8], [2, 2]]]], [[7,
9, 3, 4, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [-3,
-3]]]], [[7, 9, 3, 4, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [0,
0], [-143717/131072, -1149735/1048576]]]], [[7, 9, 3, 4, 3], [And(0 < v,v < 1)
, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [0, 0]]]], [[7
, 9, 3, 4, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [
1149735/1048576, 143717/131072]]]], [[7, 9, 3, 4, 5], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [0, 0], [3, 3]]]], [[7, 11, 6, 5, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(0 < y,y < u^2-v^2-1
), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0]
, [243021/1048576, 243021/1048576], [0, 0]]]], [[7, 12, 9, 3, 1], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[7
, 12, 9, 3, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-7/
2, -7/2], [-1284239/1048576, -642119/524288]]]], [[7, 12, 9, 3, 3], [And(0 < v
,v < 1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-7/2, -\
7/2], [0, 0]]]], [[7, 12, 9, 3, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 <
x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2,
3/2], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[7, 12, 9, 3
, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-7/2, -7/2], [
3, 3]]]], [[8, 3, 8, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2,
y < -2*u^2+2, z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-4, -4], [-3, -3
]]]], [[8, 3, 8, 1, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y <
-2*u^2+2, z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [248903/524288, 497807/1048576], [-4, -4], [-15750167/
8388608, -7875083/4194304]]]], [[8, 3, 8, 1, 3], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = u^2-2, y < -2*u^2+2, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(
1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903
/524288, 497807/1048576], [-4, -4], [-3/8388608, -3/8388608]]]], [[8, 3, 8, 1,
4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y < -2*u^2+2, z = (-u^2
-y+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [-4, -4], [984385/524288, 1968771/1048576]]]],
[[8, 3, 8, 1, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y < -2*u^
2+2, (-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [248903/524288, 497807/1048576], [-4, -4], [3, 3]]]], [[8, 5
, 3, 6, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = u^2-x-\
2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [718965/1048576, 359483/524288
], [-2, -2]]]], [[8, 5, 3, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 <
x,x < -1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [
718965/1048576, 359483/524288], [-772605/1048576, -1545209/2097152]]]], [[8, 5
, 3, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = u^2-x-\
2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [
718965/1048576, 359483/524288], [-1/4194304, -1/4194304]]]], [[8, 5, 3, 6, 4],
[v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = u^2-x-2, z = (-u^2
+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [718965/1048576, 359483/524288], [193151/
262144, 772605/1048576]]]], [[8, 5, 3, 6, 5], [v = 1, And(-2^(1/2) < u,u < -1)
, And(-u^2 < x,x < -1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576]
, [718965/1048576, 359483/524288], [2, 2]]]], [[8, 11, 8, 4, 1], [v = 1, And(1
< u,u < 2^(1/2)), x = 0, y = u^2-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [0, 0], [-1138531/2097152, -569265/
1048576], [-2, -2]]]], [[8, 11, 8, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), x =
0, y = u^2-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576], [-772605/
1048576, -1545209/2097152]]]], [[8, 11, 8, 4, 3], [v = 1, And(1 < u,u < 2^(1/2
)), x = 0, y = u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-1138531/
2097152, -569265/1048576], [-1/4194304, -1/4194304]]]], [[8, 11, 8, 4, 4], [v
= 1, And(1 < u,u < 2^(1/2)), x = 0, y = u^2-2, z = (-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-1138531/
2097152, -569265/1048576], [193151/262144, 772605/1048576]]]], [[8, 11, 8, 4,
5], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y = u^2-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-1138531/
2097152, -569265/1048576], [2, 2]]]], [[8, 13, 3, 9, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), And(-u^2 < x,x < -1), u^2-x-2 < y, z = z], [regular_chain, [[1
, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152]
, [4, 4], [0, 0]]]], [[9, 1, 11, 7, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^
(1/2), u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [-763943/1048576, -763943
/1048576], [0, 0]]]], [[9, 3, 5, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-66394547/67108864, -\
66394547/67108864], [-3, -3]]]], [[9, 3, 5, 3, 2], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-\
1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-66394547/
67108864, -66394547/67108864], [-639837/524288, -1279673/1048576]]]], [[9, 3,
5, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1/2, -1/2], [-66394547/67108864, -66394547/
67108864], [0, 0]]]], [[9, 3, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-66394547/67108864, -\
66394547/67108864], [1279673/1048576, 639837/524288]]]], [[9, 3, 5, 3, 5], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x
,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
/2, -1/2], [-66394547/67108864, -66394547/67108864], [3, 3]]]], [[9, 13, 8, 7,
1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, 0 < y, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [0, 0], [1, 1], [0, 0]]]], [[9, 15, 4, 3, 1], [And(1 < v,v <
2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y
< 0), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-1, -1], [-1550541/2097152, -1550541/2097152]
, [-3, -3]]]], [[9, 15, 4, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-1550541/2097152, -1550541/2097152], [-1382911/1048576, -\
691455/524288]]]], [[9, 15, 4, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-1550541/2097152, -1550541/2097152],
[0, 0]]]], [[9, 15, 4, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-1550541/2097152, -1550541/2097152], [691455/524288, 
1382911/1048576]]]], [[9, 15, 4, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-1550541/2097152, -1550541/2097152], [3, 3]]]], [[10, 2, 1
, 1, 1], [v = 2^(1/2), u = -2, x < -3, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [-1, -1]
, [-4, -4]]]], [[10, 2, 1, 1, 2], [v = 2^(1/2), u = -2, x < -3, y < 0, z = -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4,
-4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[10, 2, 1, 1, 3], [v = 2
^(1/2), u = -2, x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [-1, -1]
, [0, 0]]]], [[10, 2, 1, 1, 4], [v = 2^(1/2), u = -2, x < -3, y < 0, z = (-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4
], [-1, -1], [2344687/1048576, 146543/65536]]]], [[10, 2, 1, 1, 5], [v = 2^(1/
2), u = -2, x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [-4, -4], [-1, -1], [4, 4]]]], [[10, 3, 5, 6, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10, 3, 5, 6, 2], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[10, 3, 5, 6, 3], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2
, -1/2], [1/2, 1/2], [1, 1]]]], [[10, 9, 9, 1, 1], [v = 2^(1/2), And(-1 < u,u
< 0), And(-u^2+1 < x,x < 1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-5, -5], [-4, -4
]]]], [[10, 9, 9, 1, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1
), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [7/8, 7/8], [-5, -5], [-532417/262144, -2129667/
1048576]]]], [[10, 9, 9, 1, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 <
x,x < 1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-\
5, -5], [0, 0]]]], [[10, 9, 9, 1, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^
2+1 < x,x < 1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-5, -5], [2129667/1048576
, 532417/262144]]]], [[10, 9, 9, 1, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(-
u^2+1 < x,x < 1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-5, -5], [4, 4]]]], [[10,
11, 2, 4, 1], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y = -u^2+3, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4],
[11/4, 11/4], [-1, -1]]]], [[10, 11, 2, 4, 2], [v = 2^(1/2), And(0 < u,u < 1),
x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-11/4, -11/4], [11/4, 11/4], [0, 0]]]], [[10, 11, 2, 4,
3], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y = -u^2+3, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4],
[11/4, 11/4], [1, 1]]]], [[10, 15, 6, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/
2)), x = u^2-3, -u^2+3 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/
524288], [2, 2], [0, 0]]]], [[10, 17, 2, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,
u < 2), x = -u^2+1, And(0 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 2602619/
2097152], [-3, -3]]]], [[10, 17, 2, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2
), x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-650655/
262144, -2602619/1048576], [2602619/2097152, 2602619/2097152], [-4563/4096, -\
1168127/1048576]]]], [[10, 17, 2, 3, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 
2602619/2097152], [0, 0]]]], [[10, 17, 2, 3, 4], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), x = -u^2+1, And(0 < y,y < u^2-1), z = (u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 2602619/
2097152], [1168127/1048576, 4563/4096]]]], [[10, 17, 2, 3, 5], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), x = -u^2+1, And(0 < y,y < u^2-1), (u^2-y-1)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339
/2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 2602619/
2097152], [3, 3]]]], [[10, 19, 3, 6, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x
< -1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [-9/2, -9/2], [9/2, 9/2], [-1, -1]]]], [[10, 19, 3, 6, 2], [v = 2^(1/2), 2
< u, And(-u^2+1 < x,x < -1), y = -x, z = 0], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [-9/2, -9/2], [9/2, 9/2], [0, 0]]]], [[10, 19, 3, 6,
3], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [9/2,
9/2], [1, 1]]]], [[11, 1, 5, 9, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [-5, -5], [-1/2, -\
1/2], [17, 17], [0, 0]]]], [[11, 5, 6, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2)
< u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/
2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/
1048576, -1062385/2097152], [66399/262144, 66399/262144], [-2, -2]]]], [[11, 5
, 6, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0
< y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [66399/
262144, 66399/262144], [-1055459/2097152, -527729/1048576]]]], [[11, 5, 6, 5,
3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y <
-u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -\
1062385/2097152], [66399/262144, 66399/262144], [0, 0]]]], [[11, 5, 6, 5, 4],
[2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^
2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-531193/1048576, -1062385/2097152], [66399/262144, 66399/
262144], [527729/1048576, 263865/524288]]]], [[11, 5, 6, 5, 5], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^
2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-531193/1048576, -1062385/2097152], [66399/262144, 66399/262144], [2
, 2]]]], [[11, 7, 3, 8, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(
u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [657289/524288,
657289/524288], [-1, -1]]]], [[11, 7, 3, 8, 2], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288],
[657289/524288, 657289/524288], [0, 0]]]], [[11, 7, 3, 8, 3], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [657289/524288, 657289/524288], [1, 1]]]], [[11, 13, 1, 7, 1]
, [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(-
x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-4, -4], [2230411/524288, 2230411/524288], [0, 0]]]], [[11,
14, 5, 2, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z
< -2^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2,
-1/2], [-3/2, -3/2], [-3, -3]]]], [[11, 14, 5, 2, 2], [2^(1/2) < v, u = (v^2-1
)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/2, -3/2], [-1482911/
1048576, -741455/524288]]]], [[11, 14, 5, 2, 3], [2^(1/2) < v, u = (v^2-1)^(1/
2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/2,
-3/2], [0, 0]]]], [[11, 14, 5, 2, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1
< x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]
]]], [[11, 14, 5, 2, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y
= -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576
], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[11, 19, 1, 4, 1], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-4, -4], [1579107/1048576, 394777/262144], [-3, -3]]]], [[11, 19, 1
, 4, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-\
1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144],
[-1655969/1048576, -3311937/2097152]]]], [[11, 19, 1, 4, 3], [2^(1/2) < v, And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144],
[-1/4194304, -1/4194304]]]], [[11, 19, 1, 4, 4], [2^(1/2) < v, And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4],
[1579107/1048576, 394777/262144], [51749/32768, 1655969/1048576]]]], [[11, 19,
1, 4, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2
-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144],
[3, 3]]]], [[11, 20, 3, 9, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x <
-1), 1-x < y, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-2, -2], [4, 4], [0, 0]]]], [[1, 5, 8, 2, 1], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-195745/
131072, -1565959/1048576], [-3, -3]]]], [[1, 5, 8, 2, 2], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-195745/
131072, -1565959/1048576], [-1281417/1048576, -160177/131072]]]], [[1, 5, 8, 2
, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [0, 0], [-195745/131072, -1565959/1048576], [0
, 0]]]], [[1, 5, 8, 2, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0
, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [0, 0], [-195745/131072, -1565959/1048576], [160177/
131072, 1281417/1048576]]]], [[1, 5, 8, 2, 5], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-195745/131072, -1565959
/1048576], [3, 3]]]], [[1, 7, 5, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1
/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [-399003/1048576, -399003/1048576], [-3, -3]]]
], [[1, 7, 5, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,
x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-399003/1048576, -399003/1048576], [-278273/262144,
-1113091/1048576]]]], [[1, 7, 5, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [-399003/1048576, -399003/
1048576], [0, 0]]]], [[1, 7, 5, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2
)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-399003/1048576, -399003/1048576], [1113091/1048576,
278273/262144]]]], [[1, 7, 5, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/
2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-399003/1048576, -399003/1048576], [3, 3]]]], [[1, 
11, 5, 8, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1
< x,x < 0), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [-1/2
, -1/2], [17/2, 17/2], [0, 0]]]], [[1, 12, 8, 4, 1], [v < -2^(1/2), u = (v^2-2
)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [1, 1], [-1, -1], [-1, -1]]]], [[1, 12, 8, 4, 2], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1, 1], [-1, -1], [0, 0]]]], [[1, 12, 8, 4, 3], [v < -2^
(1/2), u = (v^2-2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [1, 1], [-1, -1], [1, 1]]]], [[1, 19, 3, 1, 1],
[v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-2, -2],
[-3, -3]]]], [[1, 19, 3, 1, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [-2, -2], [-4059505/2097152, -16238019/8388608]]]], [[1, 19,
3, 1, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^
2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [-2, -2], [-3/16777216, -3/16777216]]]], [[1, 19, 3, 1, 4], [
v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-2, -2], [253719
/131072, 2029753/1048576]]]], [[1, 19, 3, 1, 5], [v < -2^(1/2), And((v^2+1)^(1
/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-
y)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576],
[-915943/524288, -915943/524288], [-2, -2], [3, 3]]]], [[1, 20, 5, 4, 1], [v <
-2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[1, 20, 5, 4, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 <
x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576
, 1738867/524288], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]
], [[1, 20, 5, 4, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 20, 5, 4, 4],
[v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[1, 20, 5, 4, 5], [v < -2^(1/2), u = (v
^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3,
-3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2,
3, 4, 2, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = -u^2+2, z <
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [-388511/262144, -1554043/
1048576], [-3, -3]]]], [[2, 3, 4, 2, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [-\
388511/262144, -1554043/1048576], [-825991/524288, -3303963/2097152]]]], [[2,
3, 4, 2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = -u^2+2, And(
-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [-388511/
262144, -1554043/1048576], [-1/4194304, -1/4194304]]]], [[2, 3, 4, 2, 4], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [-388511/262144, -1554043/1048576], [1651981/
1048576, 825991/524288]]]], [[2, 3, 4, 2, 5], [v = -2^(1/2), And(-2 < u,u < -3
^(1/2)), x = -1, y = -u^2+2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [-\
388511/262144, -1554043/1048576], [3, 3]]]], [[2, 4, 8, 3, 1], [v = -2^(1/2),
u = -3^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1,
1], [-2, -2], [-2, -2]]]], [[2, 4, 8, 3, 2], [v = -2^(1/2), u = -3^(1/2), x =
1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1], [-2, -2], [-1,
-1]]]], [[2, 4, 8, 3, 3], [v = -2^(1/2), u = -3^(1/2), x = 1, And(-3 < y,y < -\
1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1], [-2, -\
2], [0, 0]]]], [[2, 4, 8, 3, 4], [v = -2^(1/2), u = -3^(1/2), x = 1, And(-3 <
y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [1, 1], [-2, -2], [1, 1]]]], [[
2, 4, 8, 3, 5], [v = -2^(1/2), u = -3^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [1, 1], [-2, -2], [2, 2]]]], [[2, 7, 4, 5, 1], [v
= -2^(1/2), And(v < u,u < -1), x = -1, And(0 < y,y < -u^2+2), z < -(1-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [-2, -2]]]], [[2
, 7, 4, 5, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(0 < y,y < -u^2+2)
, z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152]
, [-3580063/4194304, -1790031/2097152]]]], [[2, 7, 4, 5, 3], [v = -2^(1/2), 
And(v < u,u < -1), x = -1, And(0 < y,y < -u^2+2), And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [-1/
4194304, -1/4194304]]]], [[2, 7, 4, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x
= -1, And(0 < y,y < -u^2+2), z = (1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [
569265/2097152, 569265/2097152], [895015/1048576, 111877/131072]]]], [[2, 7, 4
, 5, 5], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(0 < y,y < -u^2+2), (1-y
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [2, 2]
]]], [[2, 8, 8, 6, 1], [v = -2^(1/2), u = -1, x = 1, y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [0, 0],
[0, 0]]]], [[2, 12, 9, 4, 1], [v = -2^(1/2), u = 1, 1 < x, y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-2, -2],
[-1, -1]]]], [[2, 12, 9, 4, 2], [v = -2^(1/2), u = 1, 1 < x, y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-2, -2],
[0, 0]]]], [[2, 12, 9, 4, 3], [v = -2^(1/2), u = 1, 1 < x, y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [2, 2], [-2, -2],
[1, 1]]]], [[2, 14, 3, 6, 1], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), y = -x
, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288,
1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 14, 3, 6, 2], [v
= -2^(1/2), u = -v, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [-1/2, -1/
2], [1/2, 1/2], [0, 0]]]], [[2, 14, 3, 6, 3], [v = -2^(1/2), u = -v, And(-1 <
x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 1,
4, 6, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y = 1, z < 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [
1, 1], [-1, -1]]]], [[3, 1, 4, 6, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^
(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[3, 1, 4, 6, 3], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [1, 1], [1, 1]]]], [[3
, 2, 7, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1)
, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-7/2, -7/2], [-3,
-3]]]], [[3, 2, 7, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0
< x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-7/2, -7/
2], [-1816187/1048576, -3632373/2097152]]]], [[3, 2, 7, 2, 3], [And(-2^(1/2) <
v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z
< 3^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]
]]], [[3, 2, 7, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 <
x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-7/2, -7/2], [
908093/524288, 1816187/1048576]]]], [[3, 2, 7, 2, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[3, 7, 2, 3, 1], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,
y < -2*u^2+2*v^2), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [598205/1048576, 598205/1048576], [-3, -3]]]], [[3
, 7, 2, 3, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u
^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/1048576, 
598205/1048576], [-1048577/1048576, -1]]]], [[3, 7, 2, 3, 3], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+
2*v^2), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/1048576, 
598205/1048576], [0, 0]]]], [[3, 7, 2, 3, 4], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = (-u^2
+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
598205/1048576, 598205/1048576], [1, 1048577/1048576]]]], [[3, 7, 2, 3, 5], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0
< y,y < -2*u^2+2*v^2), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [598205/1048576, 598205/1048576], [3, 3]]]], [[3,
8, 5, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(-1 < x,x < 0),
-x < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [-1/2, -1/2], [2, 2], [0, 0]]]], [[4, 1, 4,
8, 1], [v = -1, u < -3^(1/2), x = -1, y = u^2-1, z = z], [regular_chain, [[-1,
-1], [-3, -3], [-1, -1], [8, 8], [0, 0]]]], [[4, 2, 7, 4, 1], [v = -1, u = -3^
(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[4, 2, 7,
4, 2], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain
, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-1/2, -1/2], [
0, 0]]]], [[4, 2, 7, 4, 3], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y = -x, 0
< z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1
/2], [-1/2, -1/2], [1, 1]]]], [[4, 7, 2, 7, 1], [v = -1, And(-1 < u,u < 0), x
= u^2-2, -u^2+2 < y, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -\
7/4], [3, 3], [0, 0]]]], [[4, 8, 6, 4, 1], [v = -1, u = 0, x = 0, y = 0, z < 0
], [regular_chain, [[-1, -1], [0, 0], [0, 0], [0, 0], [-1, -1]]]], [[4, 8, 6,
4, 2], [v = -1, u = 0, x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [0, 0]
, [0, 0], [0, 0], [0, 0]]]], [[4, 8, 6, 4, 3], [v = -1, u = 0, x = 0, y = 0, 0
< z], [regular_chain, [[-1, -1], [0, 0], [0, 0], [0, 0], [1, 1]]]], [[4, 14, 8
, 5, 1], [v = -1, u = 3^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [-1/2, -1/
2], [0, 0]]]], [[5, 1, 2, 1, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -
u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
3, -3], [-39/4, -39/4], [-1, -1], [-5, -5]]]], [[5, 1, 2, 1, 2], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [-1, -1], [-3437987/
1048576, -1718993/524288]]]], [[5, 1, 2, 1, 3], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1
)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [-1, -1],
[0, 0]]]], [[5, 1, 2, 1, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+
v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3
], [-39/4, -39/4], [-1, -1], [1718993/524288, 3437987/1048576]]]], [[5, 1, 2,
1, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, (u^2-v^2
-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [-1
, -1], [5, 5]]]], [[5, 5, 3, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u
,u < v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-2, -2], [-3, -3]]]], [[5, 5, 3, 1, 2], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+
v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [-7505641/
4194304, -938205/524288]]]], [[5, 5, 3, 1, 3], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152
, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [0, 0]]]]
, [[5, 5, 3, 1, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^
2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-2, -2], [938205/524288, 1876411/1048576]]]], [[5, 5, 3, 1, 5], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [3
, 3]]]], [[5, 6, 6, 7, 1], [And(-1 < v,v < 0), u = v, x = 1, 0 < y, z = z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [1, 1], [0, 0]]]], [[5, 9,
4, 7, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v
^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [-2, -2
]]]], [[5, 9, 4, 7, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, And(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576]
, [-572167/1048576, -1144333/2097152]]]], [[5, 9, 4, 7, 3], [And(-1 < v,v < 0)
, And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), And(-(1-y)^(1
/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1, -1], [736367/1048576, 736367/1048576], [-1/4194304, -1/
4194304]]]], [[5, 9, 4, 7, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [736367/1048576, 736367/
1048576], [286083/524288, 572167/1048576]]]], [[5, 9, 4, 7, 5], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1, -1], [736367/1048576, 736367/1048576], [2, 2]]]], [[5, 10, 9, 1, 1], [And(-\
1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [-5, -\
5], [-3, -3]]]], [[5, 10, 9, 1, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 <
x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152
]]]], [[5, 10, 9, 1, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, y < -x-\
2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]]
, [[5, 10, 9, 1, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[5, 10, 9, 1,
5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [-5,
-5], [3, 3]]]], [[6, 1, 8, 1, 1], [v = 0, u < -2^(1/2), x = 1, y < -u^2-2, z <
-(-y-1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1, 1], [-12, -12], [-5, -5
]]]], [[6, 1, 8, 1, 2], [v = 0, u < -2^(1/2), x = 1, y < -u^2-2, z = -(-y-1)^(
1/2)], [regular_chain, [[0, 0], [-3, -3], [1, 1], [-12, -12], [-1738867/524288
, -3477733/1048576]]]], [[6, 1, 8, 1, 3], [v = 0, u < -2^(1/2), x = 1, y < -u^
2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [-3, -\
3], [1, 1], [-12, -12], [0, 0]]]], [[6, 1, 8, 1, 4], [v = 0, u < -2^(1/2), x =
1, y < -u^2-2, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [1, 1], [
-12, -12], [3477733/1048576, 1738867/524288]]]], [[6, 1, 8, 1, 5], [v = 0, u <
-2^(1/2), x = 1, y < -u^2-2, (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [-3,
-3], [1, 1], [-12, -12], [5, 5]]]], [[6, 3, 1, 6, 1], [v = 0, And(-2^(1/2) < u
,u < -1), x < -u^2-1, y = -x, z < 0], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-4, -4], [4, 4], [-1, -1]]]], [[6, 3, 1, 6, 2], [
v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y = -x, z = 0], [regular_chain, [
[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [4, 4], [0, 0]]]], [[6
, 3, 1, 6, 3], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, y = -x, 0 < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [4, 4]
, [1, 1]]]], [[6, 9, 4, 8, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y = u^2
, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1
], [763943/524288, 1527887/1048576], [0, 0]]]], [[6, 10, 7, 4, 1], [v = 0, u =
2^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[6, 10, 7, 4
, 2], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [
[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]],
[[6, 10, 7, 4, 3], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -\
1/2], [1, 1]]]], [[7, 3, 6, 2, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [-\
2583195/1048576, -1291597/524288], [-3, -3]]]], [[7, 3, 6, 2, 2], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [0, 0], [-2583195/1048576, -1291597/524288], [-3291611/2097152, -\
1645805/1048576]]]], [[7, 3, 6, 2, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [0, 0], [-2583195/1048576, -1291597/524288], [0, 0]]]], [[7, 3, 6, 2,
4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y =
-u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [1645805
/1048576, 822903/524288]]]], [[7, 3, 6, 2, 5], [And(0 < v,v < 1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [-\
2583195/1048576, -1291597/524288], [3, 3]]]], [[7, 5, 1, 7, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [-2, -2]]]], [
[7, 5, 1, 7, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v
^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2833519/1048576, 
2833519/1048576], [-572167/1048576, -1144333/2097152]]]], [[7, 5, 1, 7, 3], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-
x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1
/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2833519/1048576, 
2833519/1048576], [-1/4194304, -1/4194304]]]], [[7, 5, 1, 7, 4], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [286083/524288
, 572167/1048576]]]], [[7, 5, 1, 7, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [
2833519/1048576, 2833519/1048576], [2, 2]]]], [[8, 1, 10, 5, 1], [v = 1, u < -
3^(1/2), x = u^2-2, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[1, 1], [-\
3, -3], [7, 7], [-7/2, -7/2], [0, 0]]]], [[8, 3, 3, 8, 1], [v = 1, And(-3^(1/2
) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = u^2-x-2, z = z], [regular_chain
, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/
1048576], [2319573/1048576, 1159787/524288], [0, 0]]]], [[8, 7, 8, 4, 1], [v =
1, And(-1 < u,u < 0), x = 0, y = -u^2, z < u], [regular_chain, [[1, 1], [-1/2,
-1/2], [0, 0], [-1/4, -1/4], [-2, -2]]]], [[8, 7, 8, 4, 2], [v = 1, And(-1 < u
,u < 0), x = 0, y = -u^2, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0
], [-1/4, -1/4], [-1/2, -1/2]]]], [[8, 7, 8, 4, 3], [v = 1, And(-1 < u,u < 0),
x = 0, y = -u^2, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [0
, 0], [-1/4, -1/4], [0, 0]]]], [[8, 7, 8, 4, 4], [v = 1, And(-1 < u,u < 0), x
= 0, y = -u^2, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-1/4,
-1/4], [1/2, 1/2]]]], [[8, 7, 8, 4, 5], [v = 1, And(-1 < u,u < 0), x = 0, y =
-u^2, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-1/4, -1/4], [2
, 2]]]], [[8, 9, 3, 5, 1], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), 
And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2]
, [-11/8, -11/8], [9/16, 9/16], [-2, -2]]]], [[8, 9, 3, 5, 2], [v = 1, And(0 <
u,u < 1), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [9/16, 9/16], [-3780695/
4194304, -7561389/8388608]]]], [[8, 9, 3, 5, 3], [v = 1, And(0 < u,u < 1), And
(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [9/16, 9/16], [-5/
16777216, -5/16777216]]]], [[8, 9, 3, 5, 4], [v = 1, And(0 < u,u < 1), And(u^2
-2 < x,x < -1), And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-11/8, -11/8], [9/16, 9/16], [945173/1048576, 472587/524288]]
]], [[8, 9, 3, 5, 5], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(0 <
y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8,
-11/8], [9/16, 9/16], [2, 2]]]], [[8, 15, 5, 4, 1], [v = 1, 3^(1/2) < u, And(-\
1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2,
-1/2], [0, 0], [-2, -2]]]], [[8, 15, 5, 4, 2], [v = 1, 3^(1/2) < u, And(-1 < x
,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2
], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[8, 15, 5, 4, 3], [v = 1,
3^(1/2) < u, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[8, 15, 5, 4
, 4], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/
65536]]]], [[8, 15, 5, 4, 5], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), y = 0, (
-x)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]
]], [[9, 1, 7, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x
< 1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9, 5, 8, 5, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-5818805/4194304, -5818805/4194304], [0, 0], [-558339/2097152, -558339/
2097152], [-2, -2]]]], [[9, 5, 8, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)
^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-558339/2097152, -558339/2097152], [-270523/524288,
-1082091/2097152]]]], [[9, 5, 8, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-
y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [0, 0], [-558339/2097152, -558339/2097152], [-1/
4194304, -1/4194304]]]], [[9, 5, 8, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+
1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-558339/2097152, -558339/2097152], [541045/1048576,
270523/524288]]]], [[9, 5, 8, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/
2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-558339/2097152, -558339/2097152], [2, 2]]]], [[9,
7, 5, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 <
x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-3589231/4194304, -1794615/2097152], [-3,
-3]]]], [[9, 7, 5, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/
2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-3589231/4194304, -\
1794615/2097152], [-1314069/1048576, -328517/262144]]]], [[9, 7, 5, 2, 3], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-3589231/4194304, -\
1794615/2097152], [0, 0]]]], [[9, 7, 5, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^
2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [-\
3589231/4194304, -1794615/2097152], [328517/262144, 1314069/1048576]]]], [[9,
7, 5, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 <
x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-3589231/4194304, -1794615/2097152], [3,
3]]]], [[9, 9, 9, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-5, -5], [-4, -4]]]], [[9, 9, 9, 1, 2], [And(1 < v,v < 2^(1
/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y
< u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-5, -5], [-2167143/
1048576, -1083571/524288]]]], [[9, 9, 9, 1, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-5, -5
], [0, 0]]]], [[9, 9, 9, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/
2097152, 1527887/2097152], [-5, -5], [1083571/524288, 2167143/1048576]]]], [[9
, 9, 9, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-5, -5], [4, 4]]]], [[9, 11, 3, 9, 1], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), -x < y, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [3, 3], [0, 0]]]], [[9, 15, 8,
5, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 
250983/524288], [-501965/2097152, -501965/2097152], [0, 0]]]], [[9, 17, 1, 6,
1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z < 0]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [10
, 10], [-1, -1]]]], [[9, 17, 1, 6, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10, -10], [10, 10], [0, 0]]]], [[9, 17, 1, 6, 3],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [10, 
10], [1, 1]]]], [[10, 5, 9, 2, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And
(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-\
66261453/33554432, -16565363/8388608], [-3, -3]]]], [[10, 5, 9, 2, 2], [v = 2^
(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [1/2, 1/2], [-66261453/33554432, -16565363/8388608], [-\
636691/524288, -1273381/1048576]]]], [[10, 5, 9, 2, 3], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (
u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [-66261453/33554432, -16565363/8388608
], [0, 0]]]], [[10, 5, 9, 2, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0
< x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-66261453
/33554432, -16565363/8388608], [1273381/1048576, 636691/524288]]]], [[10, 5, 9
, 2, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2-x+
1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [1/2, 1/2], [-66261453/33554432, -16565363
/8388608], [3, 3]]]], [[10, 7, 5, 6, 1], [v = 2^(1/2), And(-v < u,u < -1), And
(-1 < x,x < -u^2+1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [35579/131072, 284633/1048576], [-2, -2]]]
], [[10, 7, 5, 6, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1)
, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [35579/131072, 284633/1048576], [-1417877/2097152, -354469/524288]]]
], [[10, 7, 5, 6, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1)
, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [35579/131072, 284633/1048576], [0, 0]]]],
[[10, 7, 5, 6, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y
= -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [35579/131072, 284633/1048576], [354469/524288, 708939/1048576]]]],
[[10, 7, 5, 6, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y
= -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [35579/131072, 284633/1048576], [2, 2]]]], [[10, 11, 6, 6, 1], [v =
2^(1/2), And(0 < u,u < 1), x = 0, y = -u^2+1, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [3/4, 3/4], [0, 0]]]], [[10, 13
, 1, 7, 1], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(-u^2-x+1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3, -3], [2906073/1048576, 2906073/1048576
], [-2, -2]]]], [[10, 13, 1, 7, 2], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3,
And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [2906073/
1048576, 2906073/1048576], [-501295/1048576, -250647/524288]]]], [[10, 13, 1,
7, 3], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, And(-u^2-x+1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [2906073/
1048576, 2906073/1048576], [0, 0]]]], [[10, 13, 1, 7, 4], [v = 2^(1/2), And(1
< u,u < v), x < u^2-3, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [2906073/1048576, 2906073/1048576], [250647/524288, 501295
/1048576]]]], [[10, 13, 1, 7, 5], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, 
And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [2906073/
1048576, 2906073/1048576], [2, 2]]]], [[11, 3, 7, 4, 1], [2^(1/2) < v, And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/524288,
129511/524288], [-129511/524288, -129511/524288], [-1, -1]]]], [[11, 3, 7, 4,
2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^
2-v^2-1), y = -x, z = 0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811
/1048576], [129511/524288, 129511/524288], [-129511/524288, -129511/524288], [
0, 0]]]], [[11, 3, 7, 4, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-129511/
524288, -129511/524288], [1, 1]]]], [[11, 5, 2, 3, 1], [2^(1/2) < v, And(-(v^2
+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z < -(u^2-v
^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [517383/1048576, 517383/1048576], [-3, -3]]]
], [[11, 5, 2, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v
^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576],
[517383/1048576, 517383/1048576], [-1048577/1048576, -1]]]], [[11, 5, 2, 3, 3]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y <
2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [517383/1048576, 517383/1048576], [0, 0]]]], [[11, 5, 2, 3,
4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y
< 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-195745/131072, -1565959/1048576], [517383/1048576,
517383/1048576], [1, 1048577/1048576]]]], [[11, 5, 2, 3, 5], [2^(1/2) < v, And
(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), (u^2-
v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-195745/131072, -1565959/1048576], [517383/1048576, 517383/1048576], [3, 3]
]]], [[11, 9, 7, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-3163223/2097152, -3163223/2097152], [-3, -3]]]], [
[11, 9, 7, 3, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-3163223/2097152, -3163223/2097152], [-1174299/
1048576, -587149/524288]]]], [[11, 9, 7, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-\
3163223/2097152, -3163223/2097152], [0, 0]]]], [[11, 9, 7, 3, 4], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(u
^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369
/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-3163223/
2097152, -3163223/2097152], [587149/524288, 1174299/1048576]]]], [[11, 9, 7, 3
, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x <
-u^2+v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[3, 3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/
2097152], [-3163223/2097152, -3163223/2097152], [3, 3]]]], [[11, 10, 9, 4, 1],
[2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[11,
10, 9, 4, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y = -x, z = 0], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-2, -2]
, [0, 0]]]], [[11, 10, 9, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y =
-x, 0 < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2,
2], [-2, -2], [1, 1]]]], [[11, 17, 2, 1, 1], [2^(1/2) < v, And(v < u,u < (v^2+
1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [-\
1, -1], [-3, -3]]]], [[11, 17, 2, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(
1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [-1, -\
1], [-3311519/2097152, -1655759/1048576]]]], [[11, 17, 2, 1, 3], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2)
< z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851
/131072], [-195745/131072, -1565959/1048576], [-1, -1], [0, 0]]]], [[11, 17, 2
, 1, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z
= (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072
], [-195745/131072, -1565959/1048576], [-1, -1], [1655759/1048576, 103485/
65536]]]], [[11, 17, 2, 1, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-195745/131072, -1565959/1048576], [-1, -1], [3, 3]]]
], [[11, 18, 5, 1, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y <
-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[11, 18, 5, 1, 2], [2^(1/2) <
v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-3, -3
], [-7846825/4194304, -980853/524288]]]], [[11, 18, 5, 1, 3], [2^(1/2) < v, u
= (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/
2], [-3, -3], [0, 0]]]], [[11, 18, 5, 1, 4], [2^(1/2) < v, u = (v^2+1)^(1/2),
And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 
1961707/1048576]]]], [[11, 18, 5, 1, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(
-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[1, 1, 11, 5, 1],
[v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-x < y,y < u^2-v^2-x-1),
z = z], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-17/2, -17/2], [0, 0]]
]], [[1, 3, 5, 1, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [-3, -3
]]]], [[1, 3, 5, 1, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [-\
7846825/4194304, -980853/524288]]]], [[1, 3, 5, 1, 3], [v < -2^(1/2), And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[1, 3, 5, 1, 4
], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0
), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/
1048576]]]], [[1, 3, 5, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2],
[-3, -3], [3, 3]]]], [[1, 7, 9, 4, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
133230053/134217728, -33307513/33554432], [-2, -2]]]], [[1, 7, 9, 4, 2], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [1/2, 1/2], [-133230053/134217728, -33307513/33554432], [-735979/
1048576, -1471957/2097152]]]], [[1, 7, 9, 4, 3], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [-133230053/134217728, -33307513/33554432], [-1/
4194304, -1/4194304]]]], [[1, 7, 9, 4, 4], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
133230053/134217728, -33307513/33554432], [367989/524288, 735979/1048576]]]],
[[1, 7, 9, 4, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x <
1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1/2, 1/2], [-133230053/134217728, -\
33307513/33554432], [2, 2]]]], [[1, 9, 4, 7, 1], [v < -2^(1/2), And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(1 < y,y < -u^2+v^2), z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [
2630187/2097152, 2630187/2097152], [0, 0]]]], [[1, 15, 2, 6, 1], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [395145/262144, 1580581/1048576], [-1, -1]]]], [[1,
15, 2, 6, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y =
-u^2+v^2+1, z = 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [395145/262144, 1580581/1048576]
, [0, 0]]]], [[1, 15, 2, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [395145/262144,
1580581/1048576], [1, 1]]]], [[1, 16, 6, 5, 1], [v < -2^(1/2), u = -v, x = 1,
And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-1/2, -\
1/2], [0, 0]]]], [[1, 20, 9, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, 
And(-x < y,y < 1-x), z = z], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [2, 2], [-3/2, -3/2], [0, 0]]]], [[2, 1, 3, 1, 1], [v = -2^(1
/2), u < -2, And(-u^2+1 < x,x < -1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [-\
5, -5], [-5, -5]]]], [[2, 1, 3, 1, 2], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x
< -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9/2, -9/2], [-5, -5], [-3231929/1048576, -403991/
131072]]]], [[2, 1, 3, 1, 3], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y
< -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [-5, -5], [0, 0]]]],
[[2, 1, 3, 1, 4], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y < -u^2-x+1,
z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-9/2, -9/2], [-5, -5], [403991/131072, 3231929/1048576]]]], [[2, 1, 3, 1,
5], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y < -u^2-x+1, (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9
/2], [-5, -5], [5, 5]]]], [[2, 11, 1, 2, 1], [v = -2^(1/2), And(0 < u,u < 1),
x < u^2-3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-4, -4], [0, 0], [-3, -3]]]], [[2, 11, 1, 2, 2],
[v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [0,
0], [-2, -2]]]], [[2, 11, 1, 2, 3], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [-4, -4], [0, 0], [0, 0]]]], [[2, 11, 1,
2, 4], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [0,
0], [2, 2]]]], [[2, 11, 1, 2, 5], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3,
y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1/2, 1/2], [-4, -4], [0, 0], [3, 3]]]], [[2, 12, 4, 4, 1], [v = -2^(1/2), u =
1, x = -1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1, 1], [-1, -1], [0, 0], [-2, -2]]]], [[2, 12, 4, 4, 2], [v = -2^(1/2), u =
1, x = -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1, 1], [-1, -1], [0, 0], [-1, -1]]]], [[2, 12, 4, 4, 3], [v = -2^(1/2), u =
1, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1, -1], [0, 0], [0, 0]]]], [[2, 12, 4, 4, 4], [v = -
2^(1/2), u = 1, x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1, -1], [0, 0], [1, 1]]]], [[2, 12, 4, 4, 5], [v = -
2^(1/2), u = 1, x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1, -1], [0, 0], [2, 2]]]], [[2, 16, 9, 6, 1], [v = -
2^(1/2), u = 3^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [0, 0], [0, 0]]]]
, [[2, 18, 3, 4, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y = 0, z < -(-x
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2
], [0, 0], [-3, -3]]]], [[2, 18, 3, 4, 2], [v = -2^(1/2), u = 2, And(-3 < x,x
< -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[2,
18, 3, 4, 3], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [-2, -2], [0, 0], [0, 0]]]], [[2, 18, 3, 4, 4], [v = -2^(1/2), u = 2, And(
-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [2, 2], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]],
[[2, 18, 3, 4, 5], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y = 0, (-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [
0, 0], [3, 3]]]], [[3, 5, 1, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1
/2) < u,u < v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [1606915/2097152, 1606915/2097152], [-3, -3]]]], [
[3, 5, 1, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3, -3], [1606915/2097152, 1606915/2097152], [-1567179/1048576, -783589/524288]
]]], [[3, 5, 1, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v
), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3, -3], [1606915/2097152, 1606915/2097152], [0,
0]]]], [[3, 5, 1, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [1606915/2097152, 1606915/2097152], [783589/524288
, 1567179/1048576]]]], [[3, 5, 1, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-3, -3], [1606915/2097152, 1606915/2097152], [3, 3]]]],
[[3, 6, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, x = 0, 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[3, 10, 9, 7, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [
1, 1], [0, 0]]]], [[3, 12, 4, 2, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = 0,
y = -1, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[3, 12, 4,
2, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, y = -1, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[3, 12, 4, 2, 3], [And(-2^(1
/2) < v,v < -1), u = -v, x = 0, y = -1, And(-1 < z,z < 1)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0
], [-1, -1], [0, 0]]]], [[3, 12, 4, 2, 4], [And(-2^(1/2) < v,v < -1), u = -v,
x = 0, y = -1, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[3, 12, 4, 2
, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, y = -1, 1 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [
0, 0], [-1, -1], [2, 2]]]], [[3, 15, 1, 2, 1], [And(-2^(1/2) < v,v < -1), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [0, 0], [-3, -3]]]], [[3, 15, 1, 2, 2], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-4, -4], [0, 0], [-2, -2]]]], [[3, 15, 1, 2, 3], [And
(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-\
1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [0, 0],
[0, 0]]]], [[3, 15, 1, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4]
, [0, 0], [2, 2]]]], [[3, 15, 1, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [0, 0], [3, 3]]]], [[3, 16, 3, 7, 1], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [5/2, 5/2], [0, 0]]]], [[4, 3, 2, 5, 1], [v = -1, And(-3^(
1/2) < u,u < -2^(1/2)), x = -u^2, And(u^2 < y,y < 2*u^2-2), z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-2594959/
1048576, -1297479/524288], [5687723/2097152, 5687723/2097152], [0, 0]]]], [[4,
4, 6, 2, 1], [v = -1, u = -2^(1/2), x = 0, y = -2, z < -2^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2]
, [-3, -3]]]], [[4, 4, 6, 2, 2], [v = -1, u = -2^(1/2), x = 0, y = -2, z = -2^
(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0],
[-2, -2], [-1482911/1048576, -741455/524288]]]], [[4, 4, 6, 2, 3], [v = -1, u
= -2^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-\
1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [0, 0]]]], [[4,
4, 6, 2, 4], [v = -1, u = -2^(1/2), x = 0, y = -2, z = 2^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-2, -2]
, [741455/524288, 1482911/1048576]]]], [[4, 4, 6, 2, 5], [v = -1, u = -2^(1/2)
, x = 0, y = -2, 2^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [0, 0], [-2, -2], [3, 3]]]], [[4, 11, 3, 1, 1], [v = -1, And(1
< u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-2, -2], [-3, -3]]]], [[4, 11, 3, 1, 2], [v = -1,
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z = -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-2, -2], [-7536399/4194304, -3768199/2097152]]]],
[[4, 11, 3, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y <
-u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2,
-2], [-1/4194304, -1/4194304]]]], [[4, 11, 3, 1, 4], [v = -1, And(1 < u,u < 2^
(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [
[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-2, -2], [1884099/1048576, 471025/262144]]]], [[4, 11, 3, 1, 5], [v
= -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, (-x-y)^(1/2) <
z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-2, -2], [3, 3]]]], [[4, 12, 6, 5, 1], [v = -1, u
= 2^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [0, 0], [1, 1], [0, 0]]]], [[5, 1, 6, 2, 1], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-39/4, -39/4], [-5, -5]]]], [
[5, 1, 6, 2, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-\
39/4, -39/4], [-1637089/524288, -3274177/1048576]]]], [[5, 1, 6, 2, 3], [And(-\
1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0]
, [-39/4, -39/4], [0, 0]]]], [[5, 1, 6, 2, 4], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-3, -3], [0, 0], [-39/4, -39/4], [3274177/1048576, 1637089/524288]]]
], [[5, 1, 6, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v
^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0],
[-39/4, -39/4], [5, 5]]]], [[5, 2, 8, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^
(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [1,
1], [1, 1], [0, 0]]]], [[5, 13, 1, 4, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) <
u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3, 3], [-11, -11], [5/4, 5/4], [-5, -5]]]], [[5, 13, 1, 4, 2],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [5/4, 5
/4], [-1637089/524288, -3274177/1048576]]]], [[5, 13, 1, 4, 3], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-11,
-11], [5/4, 5/4], [0, 0]]]], [[5, 13, 1, 4, 4], [And(-1 < v,v < 0), (v^2+2)^(1
/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [5/4, 5/4], [3274177/1048576
, 1637089/524288]]]], [[5, 13, 1, 4, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u
, x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [3, 3], [-11, -11], [5/4, 5/4], [5, 5]]]], [[6, 1, 3, 9, 1], [v =
0, u < -2^(1/2), And(-u^2-1 < x,x < -1), u^2-x-1 < y, z = z], [regular_chain,
[[0, 0], [-3, -3], [-11/2, -11/2], [15, 15], [0, 0]]]], [[6, 5, 4, 7, 1], [v =
0, And(-1 < u,u < 0), x = -1, And(u^2 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [5/8, 5/8], [-2, -2]]]], [[6,
5, 4, 7, 2], [v = 0, And(-1 < u,u < 0), x = -1, And(u^2 < y,y < 1), z = -(1-y)
^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [5/8, 5/8], [-\
1284239/2097152, -642119/1048576]]]], [[6, 5, 4, 7, 3], [v = 0, And(-1 < u,u <
0), x = -1, And(u^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [5/8, 5/8], [0, 0]]]], [[6, 5,
4, 7, 4], [v = 0, And(-1 < u,u < 0), x = -1, And(u^2 < y,y < 1), z = (1-y)^(1/
2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [5/8, 5/8], [642119/
1048576, 80265/131072]]]], [[6, 5, 4, 7, 5], [v = 0, And(-1 < u,u < 0), x = -1
, And(u^2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2],
[-1, -1], [5/8, 5/8], [2, 2]]]], [[6, 7, 1, 8, 1], [v = 0, And(0 < u,u < 1), x
< -u^2-1, y = -x, z < 0], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [3, 3
], [-1, -1]]]], [[6, 7, 1, 8, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = -x
, z = 0], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [3, 3], [0, 0]]]], [[
6, 7, 1, 8, 3], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = -x, 0 < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [3, 3], [1, 1]]]], [[7, 1, 8, 5,
1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[7, 3,
2, 1, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -
u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1],
[-3, -3]]]], [[7, 3, 2, 1, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [-1, -1], [-7805831/4194304, -3902915/2097152]]]],
[[7, 3, 2, 1, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2)
)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-2583195/
1048576, -1291597/524288], [-1, -1], [-1/4194304, -1/4194304]]]], [[7, 3, 2, 1
, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+
v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-2583195/1048576, -1291597/524288], [-1, -1], [
1951457/1048576, 975729/524288]]]], [[7, 3, 2, 1, 5], [And(0 < v,v < 1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-\
2583195/1048576, -1291597/524288], [-1, -1], [3, 3]]]], [[7, 7, 6, 4, 1], [And
(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [0, 0], [-2, -2]]]], [[
7, 7, 6, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y = 0, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [0,
0], [-1816187/2097152, -3632373/4194304]]]], [[7, 7, 6, 4, 3], [And(0 < v,v <
1), And(-v < u,u < v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [0, 0],
[-1/8388608, -1/8388608]]]], [[7, 7, 6, 4, 4], [And(0 < v,v < 1), And(-v < u,u
< v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-3/4, -3/4], [0, 0], [908093/1048576, 454047/524288]]]], [[7, 7,
6, 4, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y = 0, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [0, 0], [2
, 2]]]], [[7, 9, 3, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [948445/1048576, 948445/1048576], [-2, -2]]]], [[7
, 9, 3, 7, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [948445/1048576, 948445/1048576], [-1144335/2097152, -572167/1048576
]]]], [[7, 9, 3, 7, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-
u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152
], [-2521309/2097152, -2521309/2097152], [948445/1048576, 948445/1048576], [0,
0]]]], [[7, 9, 3, 7, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [948445/1048576, 948445/1048576], [572167/1048576,
71521/131072]]]], [[7, 9, 3, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(
1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309
/2097152, -2521309/2097152], [948445/1048576, 948445/1048576], [2, 2]]]], [[7,
11, 7, 1, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576],
[-4, -4], [-3, -3]]]], [[7, 11, 7, 1, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y
)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021
/1048576, 243021/1048576], [-4, -4], [-8141961/4194304, -32567843/16777216]]]]
, [[7, 11, 7, 1, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
243021/1048576, 243021/1048576], [-4, -4], [-3/33554432, -3/33554432]]]], [[7,
11, 7, 1, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [
-4, -4], [1017745/524288, 2035491/1048576]]]], [[7, 11, 7, 1, 5], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [243021/1048576, 243021/1048576], [-4, -4], [3, 3]]]], [[7, 12
, 9, 2, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z < -3^(1/2
)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-5, -5], [-3, -3]]]], [[
7, 12, 9, 2, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z = -3
^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[7, 12, 9, 2, 3], [And(0 < v,v < 1), u = (v^2+
2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1
/2, 1/2], [3/2, 3/2], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[7, 12,
9, 2, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)],
[regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[7, 12, 9, 2, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2]
, [-5, -5], [3, 3]]]], [[8, 3, 8, 2, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), x = u^2-2, y = -2*u^2+2, z < u], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [248903/524288, 497807/1048576], [-49484237/16777216, -\
12371059/4194304], [-3, -3]]]], [[8, 3, 8, 2, 2], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = u^2-2, y = -2*u^2+2, z = u], [regular_chain, [[1, 1], [-6598195
/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-49484237/
16777216, -12371059/4194304], [-1649549/1048576, -3299097/2097152]]]], [[8, 3,
8, 2, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -2*u^2+2, And
(u < z,z < -u)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304]
, [248903/524288, 497807/1048576], [-49484237/16777216, -12371059/4194304], [-\
1/4194304, -1/4194304]]]], [[8, 3, 8, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(
1/2)), x = u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-49484237/
16777216, -12371059/4194304], [412387/262144, 1649549/1048576]]]], [[8, 3, 8,
2, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -2*u^2+2, -u < z
], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/
524288, 497807/1048576], [-49484237/16777216, -12371059/4194304], [3, 3]]]], [
[8, 5, 3, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(-
u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-239655/
2097152, -239655/2097152], [-3, -3]]]], [[8, 5, 3, 3, 2], [v = 1, And(-2^(1/2)
< u,u < -1), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [-151887/
131072, -1215095/1048576]]]], [[8, 5, 3, 3, 3], [v = 1, And(-2^(1/2) < u,u < -\
1), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [0, 0]
]]], [[8, 5, 3, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1),
And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-239655/
2097152, -239655/2097152], [1215095/1048576, 151887/131072]]]], [[8, 5, 3, 3,
5], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(-u^2-x < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-239655/2097152, -239655/
2097152], [3, 3]]]], [[8, 11, 8, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 0,
0 < y, z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0
, 0], [1, 1], [0, 0]]]], [[8, 13, 3, 8, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2
)), And(-u^2 < x,x < -1), y = u^2-x-2, z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [
579893/262144, 2319573/1048576], [0, 0]]]], [[9, 1, 11, 8, 1], [And(1 < v,v <
2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [0, 0], [0, 0]]]], [[9, 3
, 4, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -1, u^2-v^2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [3, 3], [0, 0]]]],
[[9, 13, 9, 3, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(
0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [-50331663/33554432, -50331663/33554432], [-3, -3]]]], [
[9, 13, 9, 3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0
< x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [1/2, 1/2], [-50331663/33554432, -50331663/33554432], [-1048577/
1048576, -1]]]], [[9, 13, 9, 3, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^
2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-50331663/33554432,
-50331663/33554432], [0, 0]]]], [[9, 13, 9, 3, 4], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v
^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-50331663/33554432, -\
50331663/33554432], [1, 1048577/1048576]]]], [[9, 13, 9, 3, 5], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-50331663/
33554432, -50331663/33554432], [3, 3]]]], [[9, 15, 4, 2, 1], [And(1 < v,v < 2^
(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-775271/524288, -1550541/1048576], [
-3, -3]]]], [[9, 15, 4, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-775271/524288, -1550541/1048576], [-3301741/2097152, -\
825435/524288]]]], [[9, 15, 4, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-775271/524288, -1550541/1048576], [
0, 0]]]], [[9, 15, 4, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1
], [-775271/524288, -1550541/1048576], [825435/524288, 1650871/1048576]]]], [[
9, 15, 4, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [-775271/
524288, -1550541/1048576], [3, 3]]]], [[10, 2, 1, 2, 1], [v = 2^(1/2), u = -2,
x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-4, -4], [0, 0], [-3, -3]]]], [[10, 2, 1, 2, 2], [v = 2^(
1/2), u = -2, x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-2, -2], [-4, -4], [0, 0], [-2, -2]]]], [[10, 2, 1, 2, 3]
, [v = 2^(1/2), u = -2, x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [0, 0],
[0, 0]]]], [[10, 2, 1, 2, 4], [v = 2^(1/2), u = -2, x < -3, y = 0, z = (-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [
0, 0], [2, 2]]]], [[10, 2, 1, 2, 5], [v = 2^(1/2), u = -2, x < -3, y = 0, (-x)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4,
-4], [0, 0], [3, 3]]]], [[10, 3, 5, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/
2)), And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/33554432], [-3, -3]]]],
[[10, 3, 5, 3, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0),
And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-\
33253297/33554432, -33253297/33554432], [-1280391/1048576, -640195/524288]]]],
[[10, 3, 5, 3, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0),
And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [-33253297/33554432, -33253297/33554432], [0, 0]]]], [
[10, 3, 5, 3, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), 
And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-\
33253297/33554432, -33253297/33554432], [640195/524288, 1280391/1048576]]]], [
[10, 3, 5, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), 
And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-\
33253297/33554432, -33253297/33554432], [3, 3]]]], [[10, 9, 9, 4, 1], [v = 2^(
1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = -x, z < 0], [regular_chain
, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-7/8, -7/8], [
-1, -1]]]], [[10, 9, 9, 4, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x
,x < 1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [7/8, 7/8], [-7/8, -7/8], [0, 0]]]], [[10, 9, 9, 4, 3], [v = 2^(1/
2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), y = -x, 0 < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-7/8, -7/8], [1,
1]]]], [[10, 11, 2, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(0 <
y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [-3, -3]]]], [[10,
11, 2, 3, 2], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(0 < y,y < -u^2+3)
, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [-1229565/1048576, -307391/262144]]]]
, [[10, 11, 2, 3, 3], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(0 < y,y <
-u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [0,
0]]]], [[10, 11, 2, 3, 4], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, And(0 <
y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [307391/262144, 1229565/
1048576]]]], [[10, 11, 2, 3, 5], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, 
And(0 < y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [1/2, 1/2], [-11/4, -11/4], [11/8, 11/8], [3, 3]]]], [[10, 
15, 7, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y <
-u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-3
, -3], [-3, -3]]]], [[10, 15, 7, 1, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(u^2-3 < x,x < 0), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/
1048576, -275385/1048576], [-3, -3], [-7576065/4194304, -14797/8192]]]], [[10,
15, 7, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y <
-u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576
, -275385/1048576], [-3, -3], [0, 0]]]], [[10, 15, 7, 1, 4], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-3, -3], [14797/8192, 1894017/
1048576]]]], [[10, 15, 7, 1, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2
-3 < x,x < 0), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576
, -275385/1048576], [-3, -3], [3, 3]]]], [[10, 17, 1, 9, 1], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x < -u^2+1, u^2-x-3 < y, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [6, 6
], [0, 0]]]], [[10, 19, 3, 7, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1),
And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9/2, -9/2], [15/2, 15/2], [0, 0]]]], [[11, 1, 5, 6, 1], [2
^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11,
1, 5, 6, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z =
0], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[
11, 1, 5, 6, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x,
0 < z], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]]
, [[11, 5, 7, 1, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2
-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-3, -\
3], [-3, -3]]]], [[11, 5, 7, 1, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -
v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [-3, -3], [-7565219/4194304, -3782609/2097152]]]], [[11, 5,
7, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/
4194304], [-3, -3], [-1/4194304, -1/4194304]]]], [[11, 5, 7, 1, 4], [2^(1/2) <
v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-1062385/4194304, -1062385/4194304], [-3, -3], [236413/131072, 1891305/
1048576]]]], [[11, 5, 7, 1, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304
], [-3, -3], [3, 3]]]], [[11, 7, 3, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
657289/524288, -657289/524288], [2112585/2097152, 2112585/2097152], [-2, -2]]]
], [[11, 7, 3, 7, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^
2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [2112585/2097152, 2112585/2097152], [-16263/32768, -520415/
1048576]]]], [[11, 7, 3, 7, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [2112585/2097152, 2112585/2097152]
, [0, 0]]]], [[11, 7, 3, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [2112585/2097152, 2112585/2097152], [520415/1048576, 16263/
32768]]]], [[11, 7, 3, 7, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [2112585/2097152, 2112585/2097152], [2, 2]]]], [[11, 13, 1, 8
, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y
= -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-4, -4], [1181835/262144, 4727341/1048576], [0, 0]]]], [[11, 14, 4,
6, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = 1, z < 0], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[11
, 14, 4, 6, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [1, 1], [0
, 0]]]], [[11, 14, 4, 6, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = 1, 0
< z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [1,
1], [1, 1]]]], [[11, 19, 1, 7, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4], [2226663
/524288, 2226663/524288], [0, 0]]]], [[11, 20, 3, 8, 1], [2^(1/2) < v, u = (v^
2+2)^(1/2), And(-3 < x,x < -1), y = 1-x, z = z], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-2, -2], [3, 3], [0, 0]]]], [[1, 5, 8, 1, 1
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = 0, y < -u^2+v^2-1, z < -(
-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0
], [-3, -3], [-3, -3]]]], [[1, 5, 8, 1, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 5, 8, 1, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [0, 0], [-3, -3],
[-1/4194304, -1/4194304]]]], [[1, 5, 8, 1, 4], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3, -\
3], [-403851/131072, -403851/131072], [0, 0], [-3, -3], [908093/524288, 
1816187/1048576]]]], [[1, 5, 8, 1, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [0, 0], [-3, -3], [3, 3]]]], [[1, 7, 5, 2, 1],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y =
u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-3192025/
4194304, -399003/524288], [-3, -3]]]], [[1, 7, 5, 2, 2], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-3192025/4194304, -399003/524288]
, [-1287385/1048576, -160923/131072]]]], [[1, 7, 5, 2, 3], [v < -2^(1/2), And(
v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-\
3192025/4194304, -399003/524288], [0, 0]]]], [[1, 7, 5, 2, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-3192025/4194304, -399003/524288]
, [160923/131072, 1287385/1048576]]]], [[1, 7, 5, 2, 5], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^
2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-3192025/4194304, -399003/524288]
, [3, 3]]]], [[1, 11, 5, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), And(-1 < x,x < 0), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3,
-3], [0, 0], [-1/2, -1/2], [10, 10], [0, 0]]]], [[1, 12, 8, 5, 1], [v < -2^(1/
2), u = (v^2-2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 19,
2, 7, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^
2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-2615197/1048576, -653799/262144], [4, 4], [0, 0]]]], [[1,
20, 5, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[1, 20, 5, 3, 2], [
v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [
-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[1, 20, 5, 3,
3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[1, 20, 5, 3
, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0)
, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[1, 20
, 5, 3, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,
y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[2, 3, 4, 3, 1], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152
, -3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/2097152], [-3, -3]]
]], [[2, 3, 4, 3, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(-u^
2+2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [-1554043/2097152, -\
1554043/2097152], [-1383575/1048576, -691787/524288]]]], [[2, 3, 4, 3, 3], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [-1554043/2097152, -\
1554043/2097152], [0, 0]]]], [[2, 3, 4, 3, 4], [v = -2^(1/2), And(-2 < u,u < -
3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -\
1], [-1554043/2097152, -1554043/2097152], [691787/524288, 1383575/1048576]]]],
[[2, 3, 4, 3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(-u^2+2
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [-1554043/2097152, -\
1554043/2097152], [3, 3]]]], [[2, 4, 8, 4, 1], [v = -2^(1/2), u = -3^(1/2), x
= 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [1, 1], [-1, -1], [-1, -1]]]], [[2, 4, 8,
4, 2], [v = -2^(1/2), u = -3^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1, 1]
, [-1, -1], [0, 0]]]], [[2, 4, 8, 4, 3], [v = -2^(1/2), u = -3^(1/2), x = 1, y
= -1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [1, 1], [-1, -1], [1, 1]]]], [[2, 7, 4, 4, 1], [v
= -2^(1/2), And(v < u,u < -1), x = -1, y = 0, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -\
1], [0, 0], [-2, -2]]]], [[2, 7, 4, 4, 2], [v = -2^(1/2), And(v < u,u < -1), x
= -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[2, 7, 4,
4, 3], [v = -2^(1/2), And(v < u,u < -1), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[2, 7, 4, 4, 4], [v = -2^(1/2)
, And(v < u,u < -1), x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [1,
1]]]], [[2, 7, 4, 4, 5], [v = -2^(1/2), And(v < u,u < -1), x = -1, y = 0, 1 <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [2, 2]]]], [[2, 8, 8, 5, 1], [v = -2^(1/2)
, u = -1, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1, -1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 12, 9, 5, 1
], [v = -2^(1/2), u = 1, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [2, 2], [-1, -1], [0, 0]]]], [[2, 14
, 3, 7, 1], [v = -2^(1/2), u = -v, And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 1, 4, 5, 1], [And(-2^(1/2) < v
,v < -1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [1/2
, 1/2], [-2, -2]]]], [[3, 1, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[3, 1, 4, 5, 3], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1],
[1/2, 1/2], [0, 0]]]], [[3, 1, 4, 5, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+
2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[3, 1, 4, 5, 5], [And(-2^(1/2) < v,v < -1), u < -(v
^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [1/2, 1/2], [2, 2]]]],
[[3, 2, 7, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x <
1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-5, -5], [-4, -4
]]]], [[3, 2, 7, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 <
x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-5, -5],
[-1112183/524288, -2224365/1048576]]]], [[3, 2, 7, 1, 3], [And(-2^(1/2) < v,v
< -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [1/2, 1/2], [-5, -5], [0, 0]]]], [[3, 2, 7
, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y <
-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-5, -5], [2224365/1048576
, 1112183/524288]]]], [[3, 2, 7, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2
)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2
, 1/2], [-5, -5], [4, 4]]]], [[3, 7, 2, 4, 1], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/
524288, 1196411/1048576], [-2, -2]]]], [[3, 7, 2, 4, 2], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
598205/524288, 1196411/1048576], [-1374407/2097152, -687203/1048576]]]], [[3,
7, 2, 4, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2
-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/524288, 
1196411/1048576], [0, 0]]]], [[3, 7, 2, 4, 4], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/524288, 
1196411/1048576], [687203/1048576, 171801/262144]]]], [[3, 7, 2, 4, 5], [And(-
2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+
2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/
1048576], [598205/524288, 1196411/1048576], [2, 2]]]], [[3, 8, 6, 1, 1], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [0, 0], [-3, -3], [-3, -3]]]], [[3, 8, 6, 1, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[3
, 8, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, y < -2, 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-3, -3], [-1/
4194304, -1/4194304]]]], [[3, 8, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[3, 8, 6, 1, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2-1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0]
, [-3, -3], [3, 3]]]], [[4, 1, 4, 9, 1], [v = -1, u < -3^(1/2), x = -1, u^2-1
< y, z = z], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [9, 9], [0, 0]]]],
[[4, 2, 7, 5, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1), And(-x < y,y < 0),
z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2,
1/2], [-1/4, -1/4], [0, 0]]]], [[4, 7, 2, 6, 1], [v = -1, And(-1 < u,u < 0), x
= u^2-2, y = -u^2+2, z < 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -\
7/4], [7/4, 7/4], [-1, -1]]]], [[4, 7, 2, 6, 2], [v = -1, And(-1 < u,u < 0), x
= u^2-2, y = -u^2+2, z = 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -\
7/4], [7/4, 7/4], [0, 0]]]], [[4, 7, 2, 6, 3], [v = -1, And(-1 < u,u < 0), x =
u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/
4], [7/4, 7/4], [1, 1]]]], [[4, 8, 6, 3, 1], [v = -1, u = 0, x = 0, And(-2 < y
,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-1, -1]
, [-2, -2]]]], [[4, 8, 6, 3, 2], [v = -1, u = 0, x = 0, And(-2 < y,y < 0), z =
-(-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-1, -1], [-1, -1]]]]
, [[4, 8, 6, 3, 3], [v = -1, u = 0, x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2)
< z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-1, -1], [0,
0]]]], [[4, 8, 6, 3, 4], [v = -1, u = 0, x = 0, And(-2 < y,y < 0), z = (-y)^(1
/2)], [regular_chain, [[-1, -1], [0, 0], [0, 0], [-1, -1], [1, 1]]]], [[4, 8,
6, 3, 5], [v = -1, u = 0, x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1, -1], [0, 0], [0, 0], [-1, -1], [2, 2]]]], [[4, 14, 8, 6,
1], [v = -1, u = 3^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [1, 1], [0, 0], [0, 0]]]], [[5, 1, 2, 2, 1],
[And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [0, 0], [-5
, -5]]]], [[5, 1, 2, 2, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v
^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3],
[-39/4, -39/4], [0, 0], [-1637089/524288, -3274177/1048576]]]], [[5, 1, 2, 2,
3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, And(-(u^2-v
^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [-39/4, -39/4], [0, 0], [0, 0]]]], [[5, 1, 2, 2, 4], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-39/4, -39/4], [0, 0], [3274177/
1048576, 1637089/524288]]]], [[5, 1, 2, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [-39/4, -39/4], [0, 0], [5, 5]]]], [[5, 5, 2, 7, 1], [And(-\
1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, u^2-v^2+1 < y, z
= z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
736367/524288, -1472733/1048576], [3, 3], [0, 0]]]], [[5, 6, 6, 6, 1], [And(-1
< v,v < 0), u = v, x = 1, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [1, 1], [0, 0], [0, 0]]]], [[5, 9, 4, 8, 1], [And(-1 < v,v < 0), And(-v
< u,u < (v^2+1)^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-1, -1], [1, 1], [-1, -1]]]], [[5, 9, 4,
8, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, z = 0
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1]
, [1, 1], [0, 0]]]], [[5, 9, 4, 8, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [1, 1], [1, 1]]]], [[5, 10, 9, 2, 1], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [-4, -\
4], [-3, -3]]]], [[5, 10, 9, 2, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 <
x, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[5,
10, 9, 2, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, y = -x-2, And(-2^(
1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 
146543/131072], [2, 2], [-4, -4], [0, 0]]]], [[5, 10, 9, 2, 4], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1/2
, -1/2], [1172343/1048576, 146543/131072], [2, 2], [-4, -4], [741455/524288, 
1482911/1048576]]]], [[5, 10, 9, 2, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576
, 146543/131072], [2, 2], [-4, -4], [3, 3]]]], [[6, 1, 7, 9, 1], [v = 0, u < -
2^(1/2), And(0 < x,x < 1), u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [-3,
-3], [1/2, 1/2], [9, 9], [0, 0]]]], [[6, 3, 1, 5, 1], [v = 0, And(-2^(1/2) < u
,u < -1), x < -u^2-1, And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
2906073/1048576, 2906073/1048576], [-3, -3]]]], [[6, 3, 1, 5, 2], [v = 0, And(
-2^(1/2) < u,u < -1), x < -u^2-1, And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
2906073/1048576, 2906073/1048576], [-1162243/1048576, -581121/524288]]]], [[6,
3, 1, 5, 3], [v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, And(-u^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-4, -4], [2906073/1048576, 2906073/
1048576], [0, 0]]]], [[6, 3, 1, 5, 4], [v = 0, And(-2^(1/2) < u,u < -1), x < -
u^2-1, And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [
-1265743/1048576, -1265743/1048576], [-4, -4], [2906073/1048576, 2906073/
1048576], [581121/524288, 1162243/1048576]]]], [[6, 3, 1, 5, 5], [v = 0, And(-
2^(1/2) < u,u < -1), x < -u^2-1, And(-u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
2906073/1048576, 2906073/1048576], [3, 3]]]], [[6, 9, 4, 9, 1], [v = 0, And(1
< u,u < 2^(1/2)), x = -1, u^2 < y, z = z], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1, -1], [3, 3], [0, 0]]]], [[6, 10, 7, 5, 1], [v
= 0, u = 2^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]]
, [[7, 3, 6, 1, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [0, 0], [-4, -4], [-3, -3]]]], [[7, 3, 6, 1, 2
], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -
u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [0, 0], [-4, -4], [-2, -2]]]], [[7, 3, 6, 1, 3], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(-
(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [0, 0], [-4, -4], [0, 0]]]], [[7, 3, 6, 1, 4], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y
)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0
], [-4, -4], [2, 2]]]], [[7, 3, 6, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [0, 0], [-4, -4]
, [3, 3]]]], [[7, 5, 1, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [2521309/1048576,
1260655/524288], [-2, -2]]]], [[7, 5, 1, 6, 2], [And(0 < v,v < 1), And(-(v^2+1
)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3],
[2521309/1048576, 1260655/524288], [-1618333/2097152, -3236665/4194304]]]], [[
7, 5, 1, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^
2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [
2521309/1048576, 1260655/524288], [-1/8388608, -1/8388608]]]], [[7, 5, 1, 6, 4
], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-
v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-3, -3], [2521309/1048576, 1260655/524288], [
404583/524288, 809167/1048576]]]], [[7, 5, 1, 6, 5], [And(0 < v,v < 1), And(-(
v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3,
-3], [2521309/1048576, 1260655/524288], [2, 2]]]], [[8, 1, 10, 4, 1], [v = 1,
u < -3^(1/2), x = u^2-2, y = -u^2+2, z < 0], [regular_chain, [[1, 1], [-3, -3]
, [7, 7], [-7, -7], [-1, -1]]]], [[8, 1, 10, 4, 2], [v = 1, u < -3^(1/2), x =
u^2-2, y = -u^2+2, z = 0], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-7, -7]
, [0, 0]]]], [[8, 1, 10, 4, 3], [v = 1, u < -3^(1/2), x = u^2-2, y = -u^2+2, 0
< z], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-7, -7], [1, 1]]]], [[8, 3,
3, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(-x
< y,y < u^2-x-2), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195
/4194304], [-1821767/1048576, -1821767/1048576], [1035335/524288, 1035335/
524288], [0, 0]]]], [[8, 7, 8, 5, 1], [v = 1, And(-1 < u,u < 0), x = 0, And(-u
^2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0]
, [-1/8, -1/8], [-2, -2]]]], [[8, 7, 8, 5, 2], [v = 1, And(-1 < u,u < 0), x =
0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2
], [0, 0], [-1/8, -1/8], [-46341/131072, -370727/1048576]]]], [[8, 7, 8, 5, 3]
, [v = 1, And(-1 < u,u < 0), x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-1/8, -1/8], [
0, 0]]]], [[8, 7, 8, 5, 4], [v = 1, And(-1 < u,u < 0), x = 0, And(-u^2 < y,y <
0), z = (-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-1/8, -1/
8], [370727/1048576, 46341/131072]]]], [[8, 7, 8, 5, 5], [v = 1, And(-1 < u,u
< 0), x = 0, And(-u^2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1/2, -1/2], [0, 0], [-1/8, -1/8], [2, 2]]]], [[8, 9, 3, 6, 1], [v = 1, And(0 <
u,u < 1), And(u^2-2 < x,x < -1), y = -u^2-x, z < -u], [regular_chain, [[1, 1],
[1/2, 1/2], [-11/8, -11/8], [9/8, 9/8], [-2, -2]]]], [[8, 9, 3, 6, 2], [v = 1,
And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain,
[[1, 1], [1/2, 1/2], [-11/8, -11/8], [9/8, 9/8], [-1/2, -1/2]]]], [[8, 9, 3, 6
, 3], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = -u^2-x, And(-u < z,
z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [9/8, 9/8], [0,
0]]]], [[8, 9, 3, 6, 4], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y =
-u^2-x, z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [9/8, 9/8
], [1/2, 1/2]]]], [[8, 9, 3, 6, 5], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x
< -1), y = -u^2-x, u < z], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8]
, [9/8, 9/8], [2, 2]]]], [[8, 15, 5, 3, 1], [v = 1, 3^(1/2) < u, And(-1 < x,x
< 0), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3,
3], [-1/2, -1/2], [-17/4, -17/4], [-4, -4]]]], [[8, 15, 5, 3, 2], [v = 1, 3^(1
/2) < u, And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-17/4, -17/4], [-2285319/
1048576, -1142659/524288]]]], [[8, 15, 5, 3, 3], [v = 1, 3^(1/2) < u, And(-1 <
x,x < 0), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-17/4, -17/4], [0, 0]]]], [[8,
15, 5, 3, 4], [v = 1, 3^(1/2) < u, And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1/2, -1/2], [-17/4, -17/4]
, [1142659/524288, 2285319/1048576]]]], [[8, 15, 5, 3, 5], [v = 1, 3^(1/2) < u
, And(-1 < x,x < 0), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [3, 3], [-1/2, -1/2], [-17/4, -17/4], [4, 4]]]], [[9, 1, 7, 4, 1], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [-1
/2, -1/2], [-1, -1]]]], [[9, 1, 7, 4, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2
)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 1, 7, 4,
3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2],
[-1/2, -1/2], [1, 1]]]], [[9, 5, 8, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+
1)^(1/2) < u,u < -v), x = 0, y = 0, z < 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [0, 0], [-1, -\
1]]]], [[9, 5, 8, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -
v), x = 0, y = 0, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [0, 0], [0, 0], [0, 0]]]], [[9, 5, 8, 6,
3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = 0, 0 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [0, 0], [1, 1]]]], [[9, 7, 5, 3, 1], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-
v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [-1794615/4194304, -1794615/4194304], [-3, -3]]]], [[9, 7, 5
, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x
< -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-1794615/4194304, -1794615/4194304], [-\
1120861/1048576, -280215/262144]]]], [[9, 7, 5, 3, 3], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-1794615/4194304, -1794615/4194304], [0,
0]]]], [[9, 7, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2
)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-1794615/4194304, -\
1794615/4194304], [280215/262144, 1120861/1048576]]]], [[9, 7, 5, 3, 5], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1)
, And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-1794615/4194304, -1794615/4194304], [3, 3]]]], [
[9, 9, 8, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), x = -u^2+v^2-1, 0 < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [1, 1], [0, 0]]]],
[[9, 11, 3, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(
u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [673839/524288, 1347679/1048576], [-1, -1]]]], [[9, 11, 3, 8
, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x
,x < -1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [
673839/524288, 1347679/1048576], [0, 0]]]], [[9, 11, 3, 8, 3], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -x, 0 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [673839/524288, 1347679
/1048576], [1, 1]]]], [[9, 15, 8, 6, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [501965/
1048576, 250983/524288], [0, 0], [0, 0]]]], [[9, 17, 1, 7, 1], [And(1 < v,v <
2^(1/2)), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10, -10], [
27832241/2097152, 27832241/2097152], [0, 0]]]], [[10, 5, 9, 1, 1], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[10, 5, 9, 1, 2], [v = 2
^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]]
, [[10, 5, 9, 1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1),
y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1
/2], [-3, -3], [0, 0]]]], [[10, 5, 9, 1, 4], [v = 2^(1/2), And(-3^(1/2) < u,u
< -v), And(0 < x,x < 1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1
/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[10, 5, 9, 1, 5], [v = 2^
(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y < -u^2-x+1, (-x-y)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-3, -3], [3, 3]]]], [[10, 7, 5, 5, 1], [v = 2^(
1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), z <
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/
262144, 35579/262144], [-2, -2]]]], [[10, 7, 5, 5, 2], [v = 2^(1/2), And(-v <
u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/262144, 35579/
262144], [-201839/262144, -3229423/4194304]]]], [[10, 7, 5, 5, 3], [v = 2^(1/2
), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [35579/262144, 35579/262144], [-3/8388608, -3/8388608]]]], [[10, 7,
5, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,
y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [35579/262144, 35579/262144], [807355/1048576, 201839/262144]]]], [[
10, 7, 5, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And
(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [35579/262144, 35579/262144], [2, 2]]]], [[10, 11, 6, 7, 1],
[v = 2^(1/2), And(0 < u,u < 1), x = 0, -u^2+1 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0], [2, 2], [0, 0]]]], [[10,
13, 1, 8, 1], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3, -3], [3, 3], [-1, -1]]]], [[10, 13, 1, 8, 2], [v = 2^(1/2), And
(1 < u,u < v), x < u^2-3, y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3, -3], [3, 3], [0, 0]
]]], [[10, 13, 1, 8, 3], [v = 2^(1/2), And(1 < u,u < v), x < u^2-3, y = -x, 0
< z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-3, -3], [3, 3], [1, 1]]]], [[11, 3, 7, 5, 1], [2^(1/2) < v
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-x
< y,y < 0), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [129511/524288, 129511/524288], [-129511/1048576, -129511/1048576],
[0, 0]]]], [[11, 5, 2, 4, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [
517383/524288, 1034767/1048576], [-2, -2]]]], [[11, 5, 2, 4, 2], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [517383/524288, 1034767/1048576], [-373161/
524288, -1492643/2097152]]]], [[11, 5, 2, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(1
/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,
z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-195745/131072, -1565959/1048576], [517383/524288, 1034767/1048576],
[-1/4194304, -1/4194304]]]], [[11, 5, 2, 4, 4], [2^(1/2) < v, And(-(v^2+1)^(1/
2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [517383/524288, 1034767/1048576], [746321/1048576, 373161/
524288]]]], [[11, 5, 2, 4, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3
], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [
517383/524288, 1034767/1048576], [2, 2]]]], [[11, 9, 7, 2, 1], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2
-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-11586821/
4194304, -2896705/1048576], [-3, -3]]]], [[11, 9, 7, 2, 2], [2^(1/2) < v, And(
-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2
-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [-11586821/4194304, -\
2896705/1048576], [-3321417/2097152, -415177/262144]]]], [[11, 9, 7, 2, 3], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2
-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-11586821/4194304, -2896705/1048576], [0, 0]]]], [[
11, 9, 7, 2, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And
(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-11586821/4194304, -2896705/1048576], [415177/
262144, 1660709/1048576]]]], [[11, 9, 7, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+
v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [533035/2097152, 533035/2097152], [-11586821/4194304, -2896705/
1048576], [3, 3]]]], [[11, 10, 9, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 <
x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[11, 
10, 9, 3, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576
], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[11, 10, 9, 3
, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [2, 2], [-7/2, -7/2], [0, 0]]]], [[11, 10, 9, 3, 4], [2^(1/2
) < v, u = -(v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-7/2, -\
7/2], [642119/524288, 1284239/1048576]]]], [[11, 10, 9, 3, 5], [2^(1/2) < v, u
= -(v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-7/2, -\
7/2], [3, 3]]]], [[11, 17, 2, 2, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)
), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [0, 0], [-3
, -3]]]], [[11, 17, 2, 2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-195745/131072, -1565959/1048576], [0, 0], [-1281417/
1048576, -160177/131072]]]], [[11, 17, 2, 2, 3], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/
131072, -1565959/1048576], [0, 0], [0, 0]]]], [[11, 17, 2, 2, 4], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [0, 0], [160177/131072, 1281417/1048576]]]], [[11, 17, 2, 2,
5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-\
195745/131072, -1565959/1048576], [0, 0], [3, 3]]]], [[11, 18, 5, 2, 1], [2^(1
/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-3/2,
-3/2], [-3, -3]]]], [[11, 18, 5, 2, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-\
1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/
524288]]]], [[11, 18, 5, 2, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x
< 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[11, 
18, 5, 2, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z
= 2^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -\
1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[11, 18, 5, 2, 5], [
2^(1/2) < v, u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-3/2,
-3/2], [3, 3]]]], [[1, 1, 11, 4, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^
2-1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-16,
-16], [-1, -1]]]], [[1, 1, 11, 4, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v
^2-1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-16,
-16], [0, 0]]]], [[1, 1, 11, 4, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2
-1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-16, -\
16], [1, 1]]]], [[1, 3, 4, 9, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = -1, u^2-v^2 < y, z = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [3, 3], [0, 0]]]], [[1, 7, 9, 5,
1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/
67108864], [-2, -2]]]], [[1, 7, 9, 5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1
)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [
-50084729/67108864, -50084729/67108864], [-16263/32768, -520415/1048576]]]], [
[1, 7, 9, 5, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1
), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
50084729/67108864, -50084729/67108864], [0, 0]]]], [[1, 7, 9, 5, 4], [v < -2^(
1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/67108864], [
520415/1048576, 16263/32768]]]], [[1, 7, 9, 5, 5], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/2,
1/2], [-50084729/67108864, -50084729/67108864], [2, 2]]]], [[1, 9, 4, 8, 1], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = -u^2+v^2
, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
-1, -1], [1581611/1048576, 395403/262144], [0, 0]]]], [[1, 15, 2, 5, 1], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y
< -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [2644589/
2097152, 2644589/2097152], [-2, -2]]]], [[1, 15, 2, 5, 2], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1)
, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3161161/2097152, -395145/262144], [2644589/2097152, 
2644589/2097152], [-16263/32768, -520415/1048576]]]], [[1, 15, 2, 5, 3], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y
< -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [2644589/2097152, 2644589/2097152], [0, 0]]]], [[1,
15, 2, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And
(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/
262144], [2644589/2097152, 2644589/2097152], [520415/1048576, 16263/32768]]]],
[[1, 15, 2, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1
, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [2644589/2097152, 2644589/2097152], [2, 2]]]], [[1,
16, 6, 4, 1], [v < -2^(1/2), u = -v, x = 1, y = -1, z < 0], [regular_chain, [[
-3, -3], [3, 3], [1, 1], [-1, -1], [-1, -1]]]], [[1, 16, 6, 4, 2], [v < -2^(1/
2), u = -v, x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [3, 3], [1, 1],
[-1, -1], [0, 0]]]], [[1, 16, 6, 4, 3], [v < -2^(1/2), u = -v, x = 1, y = -1,
0 < z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-1, -1], [1, 1]]]], [[1, 
20, 9, 6, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, y = 1-x, z = z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2], [-1, -1],
[0, 0]]]], [[2, 1, 3, 2, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y
= -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9/2, -9/2], [-7/2, -7/2], [-4, -4]]]], [[2, 1, 3, 2, 2],
[v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2
], [-7/2, -7/2], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 3, 2, 3], [
v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2)
< z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608, -3/8388608]]]], [[2, 1, 3,
2, 4], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2
, -9/2], [-7/2, -7/2], [741455/262144, 2965821/1048576]]]], [[2, 1, 3, 2, 5],
[v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2]
, [-7/2, -7/2], [4, 4]]]], [[2, 11, 1, 1, 1], [v = -2^(1/2), And(0 < u,u < 1),
x < u^2-3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [-4, -4], [-1, -1], [-4, -4]]]], [[2, 11, 1, 1, 2]
, [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [-1,
-1], [-146543/65536, -2344687/1048576]]]], [[2, 11, 1, 1, 3], [v = -2^(1/2), 
And(0 < u,u < 1), x < u^2-3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [-1
, -1], [0, 0]]]], [[2, 11, 1, 1, 4], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-\
3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [
[2, 11, 1, 1, 5], [v = -2^(1/2), And(0 < u,u < 1), x < u^2-3, y < 0, (-x-y)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4
, -4], [-1, -1], [4, 4]]]], [[2, 12, 4, 3, 1], [v = -2^(1/2), u = 1, x = -1, 
And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[2, 12, 4, 3, 2]
, [v = -2^(1/2), u = 1, x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-1/2, -\
1/2], [-1284239/1048576, -642119/524288]]]], [[2, 12, 4, 3, 3], [v = -2^(1/2),
u = 1, x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-1/2, -\
1/2], [0, 0]]]], [[2, 12, 4, 3, 4], [v = -2^(1/2), u = 1, x = -1, And(-1 < y,y
< 0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1, 1], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[2, 12, 4
, 3, 5], [v = -2^(1/2), u = 1, x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-1, -1], [-1/2, -\
1/2], [3, 3]]]], [[2, 16, 9, 7, 1], [v = -2^(1/2), u = 3^(1/2), 1 < x, 0 < y,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [2, 2], [1, 1], [0, 0]]]], [[2, 18, 3, 5, 1], [v = -2^(1/2),
u = 2, And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [1, 1],
[-2, -2]]]], [[2, 18, 3, 5, 2], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(
0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [2, 2], [-2, -2], [1, 1], [-1, -1]]]], [[2, 18, 3, 5, 3], [v = -2^(1
/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-\
2, -2], [1, 1], [0, 0]]]], [[2, 18, 3, 5, 4], [v = -2^(1/2), u = 2, And(-3 < x
,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-2, -2], [1, 1], [1, 1]]]], [[2, 18, 3, 5,
5], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [
1, 1], [2, 2]]]], [[3, 5, 1, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1
/2) < u,u < v), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [0, 0], [-3, -3]]]], [[3, 5, 1, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v
^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[3, 5, 1, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x <
-u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [0, 0], [-1/4194304, -1/4194304]]]], [[3, 5, 1, 2, 4], [And(-2^(1/2) < v,
v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[3,
5, 1, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^
2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [0, 0], [3, 3]]]], [
[3, 6, 4, 4, 1], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y = 0, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[3, 6, 4, 4, 2], [And(-2^(1/2)
< v,v < -1), u = v, x = 0, y = 0, z = 0], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [0, 0
]]]], [[3, 6, 4, 4, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y = 0, 0 < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[3, 11, 1, 1, 1], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y < 0, z < -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[3, 11, 1, 1, 2], [And(-2
^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y < 0, z = -
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[3, 11, 1, 1, 3],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y < 0
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-1, -1], [0,
0]]]], [[3, 11, 1, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [-1, -\
1], [2, 2]]]], [[3, 11, 1, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3]
, [-1, -1], [3, 3]]]], [[3, 12, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, x
= 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [
-2, -2]]]], [[3, 12, 4, 3, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, And(-\
1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [-1482911/
2097152, -741455/1048576]]]], [[3, 12, 4, 3, 3], [And(-2^(1/2) < v,v < -1), u
= -v, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [0, 0]]]], [[3, 12, 4, 3, 4], [And(-2^
(1/2) < v,v < -1), u = -v, x = 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[3,
12, 4, 3, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, And(-1 < y,y < 0), (-y
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-1/2, -1/2], [2, 2]]]], [[3, 15, 1, 3, 1],
[And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+
v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[797593/1048576, 797593/1048576], [-3, -3]]]], [[3, 15, 1, 3, 2], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0
< y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [797593/1048576,
797593/1048576], [-7548997/4194304, -1887249/1048576]]]], [[3, 15, 1, 3, 3], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v
^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [797593/1048576, 797593/1048576], [0, 0]]]], [[3, 15, 1, 3,
4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -
u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[797593/1048576, 797593/1048576], [1887249/1048576, 943625/524288]]]], [[3, 15
, 1, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [797593/1048576, 797593/1048576], [3, 3]]]], [[3, 16, 3, 8,
1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 1-x,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [-2, -2], [3, 3], [0, 0]]]], [[4, 3, 2, 4, 1], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = u^2, z < 0], [regular_chain, [[-1, -\
1], [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288],
[1297479/524288, 2594959/1048576], [-1, -1]]]], [[4, 3, 2, 4, 2], [v = -1, And
(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = u^2, z = 0], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288]
, [1297479/524288, 2594959/1048576], [0, 0]]]], [[4, 3, 2, 4, 3], [v = -1, And
(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = u^2, 0 < z], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288]
, [1297479/524288, 2594959/1048576], [1, 1]]]], [[4, 4, 6, 1, 1], [v = -1, u =
-2^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-3, -3]]]], [[4, 4, 6, 1,
2], [v = -1, u = -2^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[
-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[4, 4, 6, 1, 3], [v = -1, u = -2^(1/2), x = 0,
y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]
], [[4, 4, 6, 1, 4], [v = -1, u = -2^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-3, -3]
, [908093/524288, 1816187/1048576]]]], [[4, 4, 6, 1, 5], [v = -1, u = -2^(1/2)
, x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576
, -741455/524288], [0, 0], [-3, -3], [3, 3]]]], [[4, 11, 3, 2, 1], [v = -1, 
And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z < -u], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [-3, -3]]]], [[4
, 11, 3, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = -u^
2-x, z = -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [
-1288231/1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [-\
1265743/1048576, -1265743/1048576]]]], [[4, 11, 3, 2, 3], [v = -1, And(1 < u,u
< 2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [0, 0]]]], [[4,
11, 3, 2, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-
x, z = u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [1265743
/1048576, 1265743/1048576]]]], [[4, 11, 3, 2, 5], [v = -1, And(1 < u,u < 2^(1/
2)), And(-u^2 < x,x < -1), y = -u^2-x, u < z], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
29957/131072, -239655/1048576], [3, 3]]]], [[4, 12, 7, 1, 1], [v = -1, u = 2^(
1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1
], [741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[4, 
12, 7, 1, 2], [v = -1, u = 2^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1
/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2],
[-4, -4], [-7846825/4194304, -980853/524288]]]], [[4, 12, 7, 1, 3], [v = -1, u
= 2^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-\
4, -4], [0, 0]]]], [[4, 12, 7, 1, 4], [v = -1, u = 2^(1/2), And(0 < x,x < 1),
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [
[4, 12, 7, 1, 5], [v = -1, u = 2^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/
2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/
2], [-4, -4], [3, 3]]]], [[5, 1, 6, 1, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1
/2), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-3, -3], [0, 0], [-11, -11], [-5, -5]]]], [[5, 1, 6, 1, 2], [And(-1 < v,v < 0)
, u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3, -3], [0, 0], [-11, -11], [-1738867/524288, -3477733/
1048576]]]], [[5, 1, 6, 1, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 0,
y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-3, -3], [0, 0], [-11, -11], [0, 0]]]], [[5, 1, 6, 1, 4], [And(-1 < v,
v < 0), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [0, 0], [-11, -11], [3477733/1048576,
1738867/524288]]]], [[5, 1, 6, 1, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3
], [0, 0], [-11, -11], [5, 5]]]], [[5, 2, 8, 6, 1], [And(-1 < v,v < 0), u = -(
v^2+2)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2
], [1, 1], [0, 0], [0, 0]]]], [[5, 13, 1, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [49/8, 49/8], [-4, -4]]]], [
[5, 13, 1, 5, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-
u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3
, 3], [-11, -11], [49/8, 49/8], [-1157597/524288, -2315193/1048576]]]], [[5, 
13, 1, 5, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+
v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [3, 3], [-11, -11], [49/8, 49/8], [0, 0]]]], [[5, 13, 1, 5, 4],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [
49/8, 49/8], [2315193/1048576, 1157597/524288]]]], [[5, 13, 1, 5, 5], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [49/8, 49
/8], [4, 4]]]], [[6, 1, 4, 1, 1], [v = 0, u < -2^(1/2), x = -1, y < -u^2, z <
-(1-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [-10, -10], [-5, -\
5]]]], [[6, 1, 4, 1, 2], [v = 0, u < -2^(1/2), x = -1, y < -u^2, z = -(1-y)^(1
/2)], [regular_chain, [[0, 0], [-3, -3], [-1, -1], [-10, -10], [-1738867/
524288, -3477733/1048576]]]], [[6, 1, 4, 1, 3], [v = 0, u < -2^(1/2), x = -1,
y < -u^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [-3
, -3], [-1, -1], [-10, -10], [0, 0]]]], [[6, 1, 4, 1, 4], [v = 0, u < -2^(1/2)
, x = -1, y < -u^2, z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-1,
-1], [-10, -10], [3477733/1048576, 1738867/524288]]]], [[6, 1, 4, 1, 5], [v =
0, u < -2^(1/2), x = -1, y < -u^2, (1-y)^(1/2) < z], [regular_chain, [[0, 0],
[-3, -3], [-1, -1], [-10, -10], [5, 5]]]], [[6, 5, 4, 6, 1], [v = 0, And(-1 <
u,u < 0), x = -1, y = u^2, z < -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/
2, -1/2], [-1, -1], [1/4, 1/4], [-2, -2]]]], [[6, 5, 4, 6, 2], [v = 0, And(-1
< u,u < 0), x = -1, y = u^2, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-\
1/2, -1/2], [-1, -1], [1/4, 1/4], [-1816187/2097152, -3632373/4194304]]]], [[6
, 5, 4, 6, 3], [v = 0, And(-1 < u,u < 0), x = -1, y = u^2, And(-(-u^2+1)^(1/2)
< z,z < (-u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/
4, 1/4], [-1/8388608, -1/8388608]]]], [[6, 5, 4, 6, 4], [v = 0, And(-1 < u,u <
0), x = -1, y = u^2, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2
], [-1, -1], [1/4, 1/4], [908093/1048576, 454047/524288]]]], [[6, 5, 4, 6, 5],
[v = 0, And(-1 < u,u < 0), x = -1, y = u^2, (-u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/4, 1/4], [2, 2]]]], [[6, 7,
1, 7, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(u^2-x-1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [21/8, 21/8], [-\
2, -2]]]], [[6, 7, 1, 7, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(u^2-x-1
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3]
, [21/8, 21/8], [-1284239/2097152, -642119/1048576]]]], [[6, 7, 1, 7, 3], [v =
0, And(0 < u,u < 1), x < -u^2-1, And(u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [21/8, 21
/8], [0, 0]]]], [[6, 7, 1, 7, 4], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(u^
2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3
, -3], [21/8, 21/8], [642119/1048576, 80265/131072]]]], [[6, 7, 1, 7, 5], [v =
0, And(0 < u,u < 1), x < -u^2-1, And(u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [21/8, 21/8], [2, 2]]]], [[7, 1,
8, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[7, 3, 2, 2,
1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^
2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [-3, -3]
]]], [[7, 3, 2, 2, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [
0, 0], [-3291611/2097152, -1645805/1048576]]]], [[7, 3, 2, 2, 3], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-2583195/1048576, -1291597/524288], [0, 0], [
0, 0]]]], [[7, 3, 2, 2, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [-343151/262144, -343151/262144], [-2583195/1048576, -1291597/
524288], [0, 0], [1645805/1048576, 822903/524288]]]], [[7, 3, 2, 2, 5], [And(0
< v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-2583195/1048576, -1291597/524288], [0, 0], [3, 3]]]], [[7, 7, 6, 3,
1], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,
y < 0), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4,
-3/4], [-1/4, -1/4], [-2, -2]]]], [[7, 7, 6, 3, 2], [And(0 < v,v < 1), And(-v
< u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^2-y+1)^(1/
2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-1/4, -1/4], [-1, -1]
]]], [[7, 7, 6, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, 
And(2*u^2-2*v^2 < y,y < 0), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/
2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-1/4, -1/4], [0, 0]]
]], [[7, 7, 6, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, 
And(2*u^2-2*v^2 < y,y < 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1
/2], [0, 0], [-3/4, -3/4], [-1/4, -1/4], [1, 1]]]], [[7, 7, 6, 3, 5], [And(0 <
v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), (u^2-
v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-1/4,
-1/4], [2, 2]]]], [[7, 9, 3, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(
1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/1048576, 159059/262144], [-2, -2]]]], [[7,
9, 3, 6, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1
/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152],
[636235/1048576, 159059/262144], [-1618333/2097152, -3236665/4194304]]]], [[7,
9, 3, 6, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2)
)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309
/2097152, -2521309/2097152], [636235/1048576, 159059/262144], [-1/8388608, -1/
8388608]]]], [[7, 9, 3, 6, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/1048576, 159059/262144], [404583/524288, 
809167/1048576]]]], [[7, 9, 3, 6, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/1048576, 159059/262144], [2, 2]]]], [[7, 
11, 6, 7, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
0, u^2-v^2-1 < y, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [0, 0], [2, 2], [0, 0]]]], [[7, 12, 9, 1, 1], [And(0 < v,v < 1), u =
(v^2+2)^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [3/2, 3/2], [2, 2], [-6, -6], [-3, -3]]]], [[7, 12, 9, 1, 2], [And(0 < v,v
< 1), u = (v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [3/2, 3/2], [2, 2], [-6, -6], [-2, -2]]]], [[7, 12, 9, 1, 3], [
And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-6, -6], [
0, 0]]]], [[7, 12, 9, 1, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, y <
-x-3, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-6,
-6], [2, 2]]]], [[7, 12, 9, 1, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x
, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2]
, [-6, -6], [3, 3]]]], [[8, 3, 8, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/524288,
497807/1048576], [-14362287/8388608, -14362287/8388608], [-3, -3]]]], [[8, 3,
8, 3, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,
y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-14362287/
8388608, -14362287/8388608], [-145801/131072, -1166407/1048576]]]], [[8, 3, 8,
3, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y <
-u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1
, 1], [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [
-14362287/8388608, -14362287/8388608], [0, 0]]]], [[8, 3, 8, 3, 4], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = (
-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304
], [248903/524288, 497807/1048576], [-14362287/8388608, -14362287/8388608], [
1166407/1048576, 145801/131072]]]], [[8, 3, 8, 3, 5], [v = 1, And(-3^(1/2) < u
,u < -2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z]
, [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/
524288, 497807/1048576], [-14362287/8388608, -14362287/8388608], [3, 3]]]], [[
8, 5, 3, 4, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = 0,
z < -(-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [-1288231/1048576, -1288231/1048576], [0, 0], [-3, -3]]]], [[8, 5, 3, 4, 2]
, [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/
2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [0, 0], [-1162243/1048576, -581121/524288]]]], [[8
, 5, 3, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [0,
0]]]], [[8, 5, 3, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1
), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [581121/524288
, 1162243/1048576]]]], [[8, 5, 3, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), And
(-u^2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [3,
3]]]], [[8, 11, 8, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y = 0, z < 0]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0],
[-1, -1]]]], [[8, 11, 8, 6, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y = 0,
z = 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [
0, 0], [0, 0]]]], [[8, 11, 8, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y
= 0, 0 < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0,
0], [0, 0], [1, 1]]]], [[8, 13, 3, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2))
, And(-u^2 < x,x < -1), And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152],
[4141339/2097152, 4141339/2097152], [0, 0]]]], [[9, 1, 11, 9, 1], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, 0 < y, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [8, 8], [1, 1], [0, 0]]]], [[9,
3, 5, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
1/2, -1/2], [-3, -3], [-3, -3]]]], [[9, 3, 5, 1, 2], [And(1 < v,v < 2^(1/2)),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-\
1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-3, -3], [-7846825/
4194304, -980853/524288]]]], [[9, 3, 5, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [-3, -\
3], [0, 0]]]], [[9, 3, 5, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]]
, [[9, 3, 5, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[9, 13, 9, 2, 1], [And(
1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v
^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-515775/262144, -\
33009599/16777216], [-3, -3]]]], [[9, 13, 9, 2, 2], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [1/2, 1/2], [-515775/262144, -33009599/16777216], [
-1270261/1048576, -317565/262144]]]], [[9, 13, 9, 2, 3], [And(1 < v,v < 2^(1/2
)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [1/2, 1/2], [-515775/
262144, -33009599/16777216], [0, 0]]]], [[9, 13, 9, 2, 4], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [1/2, 1/2], [-515775/262144, -33009599/
16777216], [317565/262144, 1270261/1048576]]]], [[9, 13, 9, 2, 5], [And(1 < v,
v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [1/2, 1/2], [-515775/262144, -33009599/
16777216], [3, 3]]]], [[9, 15, 4, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-3, -3], [-3, -3]]]], [[9, 15, 4, 1, 2], [And(1 < v,v < 2^
(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = -(
1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [-3, -3], [-2, -2]]]], [[9, 15, 4, 1, 3], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y <
-u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [-3, -3],
[0, 0]]]], [[9, 15, 4, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [
-3, -3], [2, 2]]]], [[9, 15, 4, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1
/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-3, -3], [3, 3]]]], [[10, 2, 1, 3, 1], [v = 2^(1/2), u = -\
2, x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[10, 2
, 1, 3, 2], [v = 2^(1/2), u = -2, x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [1
/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[10, 2, 1, 3, 3], [v = 2^(1/
2), u = -2, x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [1
/2, 1/2], [0, 0]]]], [[10, 2, 1, 3, 4], [v = 2^(1/2), u = -2, x < -3, And(0 <
y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]],
[[10, 2, 1, 3, 5], [v = 2^(1/2), u = -2, x < -3, And(0 < y,y < -x-3), (-x-y)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -\
4], [1/2, 1/2], [3, 3]]]], [[10, 3, 5, 4, 1], [v = 2^(1/2), And(-2 < u,u < -3^
(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[0, 0], [-2, -2]]]], [[10, 3, 5, 4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [0, 0],
[-1482911/2097152, -741455/1048576]]]], [[10, 3, 5, 4, 3], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 3, 5, 4, 4], [v = 2^(
1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[10, 3, 5,
4, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 9, 9, 3, 1]
, [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [7/8, 7/8], [-9/4, -9/4], [-3, -3]]]], [[10, 9, 9, 3, 2], [v = 2^(
1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2]
, [7/8, 7/8], [-9/4, -9/4], [-1229565/1048576, -307391/262144]]]], [[10, 9, 9,
3, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-9/4, -9/4], [0, 0]]]], [
[10, 9, 9, 3, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(-u^2+1 < x,x < 1), And(
u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-9/4, -9/4], [307391/262144, 
1229565/1048576]]]], [[10, 9, 9, 3, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(-
u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [7/8, 7/8], [-9/4, -9/4], [3,
3]]]], [[10, 11, 2, 2, 1], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y = 0, z
< -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1
/2], [-11/4, -11/4], [0, 0], [-3, -3]]]], [[10, 11, 2, 2, 2], [v = 2^(1/2), 
And(0 < u,u < 1), x = u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4], [0, 0], [-1738867
/1048576, -3477733/2097152]]]], [[10, 11, 2, 2, 3], [v = 2^(1/2), And(0 < u,u
< 1), x = u^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4],
[0, 0], [-1/4194304, -1/4194304]]]], [[10, 11, 2, 2, 4], [v = 2^(1/2), And(0 <
u,u < 1), x = u^2-3, y = 0, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4], [0, 0], [869433/524288,
1738867/1048576]]]], [[10, 11, 2, 2, 5], [v = 2^(1/2), And(0 < u,u < 1), x = u
^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-11/4, -11/4], [0, 0], [3, 3]]]], [[10, 15, 7, 2, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, z < -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-1270997/
1048576, -317749/262144], [-3, -3]]]], [[10, 15, 7, 2, 2], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [-1270997/1048576, -317749/
262144], [-1273381/1048576, -318345/262144]]]], [[10, 15, 7, 2, 3], [v = 2^(1/
2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, And(-(u^2-1)^(
1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
1270997/1048576, -317749/262144], [0, 0]]]], [[10, 15, 7, 2, 4], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097
/2097152], [-275385/1048576, -275385/1048576], [-1270997/1048576, -317749/
262144], [318345/262144, 1273381/1048576]]]], [[10, 15, 7, 2, 5], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [-1270997/1048576, -\
317749/262144], [3, 3]]]], [[10, 17, 2, 1, 1], [v = 2^(1/2), And(3^(1/2) < u,u
< 2), x = -u^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-650655/262144,
-2602619/1048576], [-1, -1], [-3, -3]]]], [[10, 17, 2, 1, 2], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), x = -u^2+1, y < 0, z = -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-3913339/2097152, -\
3913339/2097152]]]], [[10, 17, 2, 1, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x = -u^2+1, y < 0, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-1/4194304, -1/
4194304]]]], [[10, 17, 2, 1, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^
2+1, y < 0, z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/
1048576], [-1, -1], [1956669/1048576, 978335/524288]]]], [[10, 17, 2, 1, 5], [
v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y < 0, (u^2-y-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [-1, -1], [3, 3]]]], [[10, 19, 3
, 8, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = u^2-x-3, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [21/2,
21/2], [0, 0]]]], [[11, 1, 5, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1
< x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [-5,
-5], [-1/2, -1/2], [8, 8], [0, 0]]]], [[11, 5, 6, 7, 1], [2^(1/2) < v, And(-(v
^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/
2097152], [2, 2], [0, 0]]]], [[11, 7, 3, 6, 1], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
657289/524288, -657289/524288], [399003/524288, 798007/1048576], [-2, -2]]]],
[[11, 7, 3, 6, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [
399003/524288, 798007/1048576], [-735979/1048576, -1471957/2097152]]]], [[11,
7, 3, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-657289/524288,
-657289/524288], [399003/524288, 798007/1048576], [-1/4194304, -1/4194304]]]],
[[11, 7, 3, 6, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [
399003/524288, 798007/1048576], [367989/524288, 735979/1048576]]]], [[11, 7, 3
, 6, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [399003/
524288, 798007/1048576], [2, 2]]]], [[11, 13, 1, 9, 1], [2^(1/2) < v, And((v^2
-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, -u^2+v^2-x-1 < y, z = z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [6, 6], [0
, 0]]]], [[11, 14, 4, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, 1 < y, z
= z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [2,
2], [0, 0]]]], [[11, 19, 1, 6, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [-4, -4], [4, 4], [-1, -1]]]], [[11, 19, 1, 6, 2],
[2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x
, z = 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4
], [4, 4], [0, 0]]]], [[11, 19, 1, 6, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-4, -4], [4, 4], [1, 1]]]], [[11, 20, 3, 7
, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x)
, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-2, -2]
, [5/2, 5/2], [0, 0]]]], [[1, 2, 1, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2),
x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[1, 2, 1, 2, 2], [v < -2^(1
/2), u = -(v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[1
, 2, 1, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/
2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733
/1048576], [-4, -4], [0, 0], [0, 0]]]], [[1, 2, 1, 2, 4], [v < -2^(1/2), u = -
(v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [0, 0], [2, 2]]]], [[1, 2, 1, 2,
5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [0, 0
], [3, 3]]]], [[1, 3, 5, 3, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/
2], [-133818123/134217728, -133818123/134217728], [-3, -3]]]], [[1, 3, 5, 3, 2
], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0
), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -\
133818123/134217728], [-1282963/1048576, -641481/524288]]]], [[1, 3, 5, 3, 3],
[v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2],
[-133818123/134217728, -133818123/134217728], [0, 0]]]], [[1, 3, 5, 3, 4], [v
< -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And
(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -\
133818123/134217728], [641481/524288, 1282963/1048576]]]], [[1, 3, 5, 3, 5], [
v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -\
133818123/134217728], [3, 3]]]], [[1, 7, 10, 1, 1], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [
[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-4, -4], [-3, -3]]]],
[[1, 7, 10, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^
2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[1, 7, 10, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2
-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [
-6111549/2097152, -6111549/2097152], [1, 1], [-4, -4], [-1/4194304, -1/4194304
]]]], [[1, 7, 10, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1,
y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[
1, 7, 10, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2-
v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-4, -4], [3, 3]]]], [[1, 9, 4, 9, 1], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, -u^2+v^2 < y, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1, -1], [3
, 3], [0, 0]]]], [[1, 15, 3, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -
v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [399003/1048576, 399003/1048576], [-2, -2]]]], [[1, 
15, 3, 5, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,
x < -1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [
399003/1048576, 399003/1048576], [-1959643/2097152, -7838571/8388608]]]], [[1,
15, 3, 5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,
x < -1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [399003/1048576, 399003/1048576], [-3/16777216, -3/
16777216]]]], [[1, 15, 3, 5, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [399003/1048576, 399003/1048576], [979821/1048576, 489911/
524288]]]], [[1, 15, 3, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [399003/1048576, 399003/1048576], [2, 2]]]], [[1, 16, 6, 7, 1
], [v < -2^(1/2), u = -v, x = 1, 0 < y, z = z], [regular_chain, [[-3, -3], [3,
3], [1, 1], [1, 1], [0, 0]]]], [[1, 21, 1, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5
], [-18, -18], [0, 0], [-6, -6]]]], [[1, 21, 1, 2, 2], [v < -2^(1/2), (v^2+2)^
(1/2) < u, x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3],
[5, 5], [-18, -18], [0, 0], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 1
, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [0, 0
], [0, 0]]]], [[1, 21, 1, 2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^
2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [0
, 0], [4448731/1048576, 1112183/262144]]]], [[1, 21, 1, 2, 5], [v < -2^(1/2),
(v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
3, -3], [5, 5], [-18, -18], [0, 0], [6, 6]]]], [[2, 1, 3, 3, 1], [v = -2^(1/2)
, u < -2, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [
-7/4, -7/4], [-4, -4]]]], [[2, 1, 3, 3, 2], [v = -2^(1/2), u < -2, And(-u^2+1
< x,x < -1), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [-7/4, -7/4], [-5/2,
-5/2]]]], [[2, 1, 3, 3, 3], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And
(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [-7/4, -7/4], [
0, 0]]]], [[2, 1, 3, 3, 4], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And
(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [-9/2, -9/2], [-7/4, -7/4], [5/2, 5/2]]]], [[2, 1, 3
, 3, 5], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3
, -3], [-9/2, -9/2], [-7/4, -7/4], [4, 4]]]], [[2, 10, 9, 9, 1], [v = -2^(1/2)
, u = 0, 1 < x, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[2, 12, 3, 5, 1], [v = -2^(1/2),
u = 1, And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [3/4
, 3/4], [-2, -2]]]], [[2, 12, 3, 5, 2], [v = -2^(1/2), u = 1, And(-2 < x,x < -\
1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1, 1], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373
/4194304]]]], [[2, 12, 3, 5, 3], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), And
(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [3/4, 3/4], [-1/
8388608, -1/8388608]]]], [[2, 12, 3, 5, 4], [v = -2^(1/2), u = 1, And(-2 < x,x
< -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 
454047/524288]]]], [[2, 12, 3, 5, 5], [v = -2^(1/2), u = 1, And(-2 < x,x < -1)
, And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[2, 16, 9, 4, 1]
, [v = -2^(1/2), u = 3^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-\
2, -2], [-1, -1]]]], [[2, 16, 9, 4, 2], [v = -2^(1/2), u = 3^(1/2), 1 < x, y =
-x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [2, 2], [-2, -2], [0, 0]]]], [[2, 16, 9, 4, 3], [v =
-2^(1/2), u = 3^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-2, -2],
[1, 1]]]], [[2, 18, 2, 5, 1], [v = -2^(1/2), u = 2, x = -3, And(3 < y,y < 4),
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3],
[7/2, 7/2], [0, 0]]]], [[3, 5, 1, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[-3, -3], [-1, -1], [-3, -3]]]], [[3, 5, 1, 1, 2], [And(-2^(1/2) < v,v < -1),
And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3, -3], [-1, -1], [-2, -2]]]], [[3, 5, 1, 1, 3], [And(-2^(
1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-1, -1], [0
, 0]]]], [[3, 5, 1, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3, -3], [-\
1, -1], [2, 2]]]], [[3, 5, 1, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(
1/2) < u,u < v), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3,
-3], [-1, -1], [3, 3]]]], [[3, 6, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = v,
And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/2, 1/
2], [-1, -1]]]], [[3, 6, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1 <
x,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]],
[[3, 6, 3, 6, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = -x,
0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 10, 9, 5
, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(-x < y,y < 0),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288,
708939/1048576], [2, 2], [-1, -1], [0, 0]]]], [[3, 12, 3, 3, 1], [And(-2^(1/2)
< v,v < -1), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[3, 12, 3, 3, 2],
[And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [-1816187/
2097152, -3632373/4194304]]]], [[3, 12, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u
= -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608
]]]], [[3, 12, 3, 3, 4], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0),
And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/4, -1/
4], [908093/1048576, 454047/524288]]]], [[3, 12, 3, 3, 5], [And(-2^(1/2) < v,v
< -1), u = -v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[3, 15, 1, 8, 1], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v
^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [4696269/1048576, 2348135/
524288], [0, 0]]]], [[3, 16, 3, 9, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^
(1/2), And(-3 < x,x < -1), 1-x < y, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [4, 4], [0, 0]
]]], [[4, 3, 3, 4, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x
< -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304,
-6598195/4194304], [-1821767/1048576, -1821767/1048576], [0, 0], [-3, -3]]]],
[[4, 3, 3, 4, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1
), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [0, 0], [-691061/
524288, -1382121/1048576]]]], [[4, 3, 3, 4, 3], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), And(-u^2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [0, 0], [0, 0]]]], [[4, 3, 3, 4, 4], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [0, 0], [1382121/1048576, 691061/524288]]]], [[4,
3, 3, 4, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y
= 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [0, 0], [3, 3]]]], [[4, 4, 6,
4, 1], [v = -1, u = -2^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-1, -1]]]], [[4, 4, 6, 4,
2], [v = -1, u = -2^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [0, 0], [0, 0], [0, 0]]]], [[4, 4, 6, 4, 3],
[v = -1, u = -2^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [0, 0], [0, 0], [1, 1]]]], [[4, 11, 3, 7, 1]
, [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [2007197/2097152, 2007197/
2097152], [-2, -2]]]], [[4, 11, 3, 7, 2], [v = -1, And(1 < u,u < 2^(1/2)), And
(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/
1048576], [2007197/2097152, 2007197/2097152], [-273157/524288, -1092627/
2097152]]]], [[4, 11, 3, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,
x < -1), And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [2007197/2097152, 2007197/2097152], [-1/4194304, -\
1/4194304]]]], [[4, 11, 3, 7, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 <
x,x < -1), And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -\
1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576],
[2007197/2097152, 2007197/2097152], [546313/1048576, 273157/524288]]]], [[4, 
11, 3, 7, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(u^2-x
-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [2007197/2097152, 
2007197/2097152], [2, 2]]]], [[4, 12, 7, 2, 1], [v = -1, u = 2^(1/2), And(0 <
x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1, -1], [741455/524288,
1482911/1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[4, 12, 7, 2, 2], [v
= -1, u = 2^(1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-5/2, -5/2], [-\
1482911/1048576, -741455/524288]]]], [[4, 12, 7, 2, 3], [v = -1, u = 2^(1/2),
And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]]
, [[4, 12, 7, 2, 4], [v = -1, u = 2^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(
1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2]
, [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[4, 12, 7, 2, 5], [v = -\
1, u = 2^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1
, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]],
[[5, 1, 7, 1, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y
< -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [
1/2, 1/2], [-12, -12], [-5, -5]]]], [[5, 1, 7, 1, 2], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-12, -12], [-3555895/
1048576, -1777947/524288]]]], [[5, 1, 7, 1, 3], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-12, -12], [0,
0]]]], [[5, 1, 7, 1, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x <
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [1/2, 1/2], [-12, -12], [1777947/524288, 3555895/1048576]]]], [[5, 1, 7, 1
, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x
-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-\
12, -12], [5, 5]]]], [[5, 2, 9, 2, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [
2, 2], [-5, -5], [-3, -3]]]], [[5, 2, 9, 2, 2], [And(-1 < v,v < 0), u = -(v^2+
2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2
, -3/2], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[5, 2, 9,
2, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) <
z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [-5, -5]
, [-1/4194304, -1/4194304]]]], [[5, 2, 9, 2, 4], [And(-1 < v,v < 0), u = -(v^2
+2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2
, -3/2], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[5, 2, 9, 2,
5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [-5, -5], [3, 3]]]], [[5,
13, 1, 2, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, z
< -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [0, 0], [-5
, -5]]]], [[5, 13, 1, 2, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v
^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -\
11], [0, 0], [-1738867/524288, -3477733/1048576]]]], [[5, 13, 1, 2, 3], [And(-\
1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [0, 0], [0,
0]]]], [[5, 13, 1, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-\
1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11],
[0, 0], [3477733/1048576, 1738867/524288]]]], [[5, 13, 1, 2, 5], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [0, 0], [5, 5]]]], [[6, 1, 3
, 3, 1], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0)
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [-9/4
, -9/4], [-4, -4]]]], [[6, 1, 3, 3, 2], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x
< -1), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
-3, -3], [-11/2, -11/2], [-9/4, -9/4], [-11676449/4194304, -364889/131072]]]],
[[6, 1, 3, 3, 3], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), And(-u^2-x-1 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [
-3, -3], [-11/2, -11/2], [-9/4, -9/4], [0, 0]]]], [[6, 1, 3, 3, 4], [v = 0, u
< -2^(1/2), And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z = (-x-y)^(1/2)]
, [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [-9/4, -9/4], [364889/
131072, 2919113/1048576]]]], [[6, 1, 3, 3, 5], [v = 0, u < -2^(1/2), And(-u^2-\
1 < x,x < -1), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0
, 0], [-3, -3], [-11/2, -11/2], [-9/4, -9/4], [4, 4]]]], [[6, 5, 4, 5, 1], [v
= 0, And(-1 < u,u < 0), x = -1, And(0 < y,y < u^2), z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [-2, -2]]]], [[6,
5, 4, 5, 2], [v = 0, And(-1 < u,u < 0), x = -1, And(0 < y,y < u^2), z = -(1-y)
^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [-\
7846825/8388608, -980853/1048576]]]], [[6, 5, 4, 5, 3], [v = 0, And(-1 < u,u <
0), x = -1, And(0 < y,y < u^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [0, 0]]]], [[6, 5,
4, 5, 4], [v = 0, And(-1 < u,u < 0), x = -1, And(0 < y,y < u^2), z = (1-y)^(1/
2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [1/8, 1/8], [980853/
1048576, 490427/524288]]]], [[6, 5, 4, 5, 5], [v = 0, And(-1 < u,u < 0), x = -\
1, And(0 < y,y < u^2), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2]
, [-1, -1], [1/8, 1/8], [2, 2]]]], [[6, 7, 1, 2, 1], [v = 0, And(0 < u,u < 1),
x < -u^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3,
-3], [0, 0], [-3, -3]]]], [[6, 7, 1, 2, 2], [v = 0, And(0 < u,u < 1), x < -u^2
-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [0
, 0], [-1816187/1048576, -3632373/2097152]]]], [[6, 7, 1, 2, 3], [v = 0, And(0
< u,u < 1), x < -u^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [0, 0], [-1/4194304, -1/4194304]
]]], [[6, 7, 1, 2, 4], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = 0, z = (-x)^(
1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [0, 0], [908093/524288,
1816187/1048576]]]], [[6, 7, 1, 2, 5], [v = 0, And(0 < u,u < 1), x < -u^2-1, y
= 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [0, 0], [
3, 3]]]], [[7, 1, 8, 3, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, And(
-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3,
-3], [1, 1], [-47/8, -47/8], [-4, -4]]]], [[7, 1, 8, 3, 2], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-47/8, -47/8], [-1157597/524288
, -2315193/1048576]]]], [[7, 1, 8, 3, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2
), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))]
, [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-47/8, -47/8], [0, 0]]]], [[
7, 1, 8, 3, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 <
y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [
-47/8, -47/8], [2315193/1048576, 1157597/524288]]]], [[7, 1, 8, 3, 5], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-47/8, -47/8], [4, 4]]
]], [[7, 3, 1, 4, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [
1611109/1048576, 805555/524288], [-3, -3]]]], [[7, 3, 1, 4, 2], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-4, -4], [1611109/1048576, 805555/524288], [-3291611/2097152,
-1645805/1048576]]]], [[7, 3, 1, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [-4, -4], [1611109/1048576, 805555/524288], [0, 0]]]], [[7, 3
, 1, 4, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1
/2], [-343151/262144, -343151/262144], [-4, -4], [1611109/1048576, 805555/
524288], [1645805/1048576, 822903/524288]]]], [[7, 3, 1, 4, 5], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x
-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [-4, -4], [1611109/1048576, 805555/524288], [3, 3]]]], [[7, 7,
6, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^
2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4]
, [-1/2, -1/2], [-3, -3]]]], [[7, 7, 6, 2, 2], [And(0 < v,v < 1), And(-v < u,u
< v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-1/2, -1/2], [-146543/
131072, -1172343/1048576]]]], [[7, 7, 6, 2, 3], [And(0 < v,v < 1), And(-v < u,
u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2
+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-1/2, -1/
2], [0, 0]]]], [[7, 7, 6, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^
2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [0, 0], [-3/4, -3/4], [-1/2, -1/2], [1172343/1048576, 146543/131072]]]], [[7
, 7, 6, 2, 5], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y = 2*u^2
-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -\
3/4], [-1/2, -1/2], [3, 3]]]], [[7, 9, 3, 1, 1], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^
(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-2, -2], [-3, -3]]]], [[7, 9, 3, 1, 2], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [-\
7505641/4194304, -938205/524288]]]], [[7, 9, 3, 1, 3], [And(0 < v,v < 1), And(
v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [0,
0]]]], [[7, 9, 3, 1, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [-2, -2], [938205/524288, 1876411/1048576]]]], [[7, 9, 3, 1, 5], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
< -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [3,
3]]]], [[7, 11, 7, 3, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/
1048576, 243021/1048576], [-767309/524288, -767309/524288], [-3, -3]]]], [[7,
11, 7, 3, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 
243021/1048576], [-767309/524288, -767309/524288], [-1163761/1048576, -72735/
65536]]]], [[7, 11, 7, 3, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [243021/1048576, 243021/1048576], [-767309/524288, -767309/
524288], [0, 0]]]], [[7, 11, 7, 3, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144]
, [243021/1048576, 243021/1048576], [-767309/524288, -767309/524288], [72735/
65536, 1163761/1048576]]]], [[7, 11, 7, 3, 5], [And(0 < v,v < 1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [243021/1048576, 243021/1048576], [-767309/524288, -767309/524288], [
3, 3]]]], [[7, 12, 9, 8, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, y =
0, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [0, 0], [0, 0]]]],
[[8, 3, 8, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -u^2+
2, z < 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [-497807/1048576, -248903/524288], [-1, -1]]]]
, [[8, 3, 8, 4, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -u^
2+2, z = 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [-497807/1048576, -248903/524288], [0, 0]]]],
[[8, 3, 8, 4, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = -u^2+
2, 0 < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
248903/524288, 497807/1048576], [-497807/1048576, -248903/524288], [1, 1]]]],
[[8, 5, 3, 9, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), -x <
y, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [3, 3], [0, 0]]]], [[8, 11, 9, 2, 1], [v =
1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, z < -u], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
8208699/4194304, -32834795/16777216], [-3, -3]]]], [[8, 11, 9, 2, 2], [v = 1,
And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, z = -u], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-8208699/4194304, -\
32834795/16777216], [-1265743/1048576, -1265743/1048576]]]], [[8, 11, 9, 2, 3]
, [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, And(-u < z,z <
u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2],
[-8208699/4194304, -32834795/16777216], [0, 0]]]], [[8, 11, 9, 2, 4], [v = 1,
And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, z = u], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-8208699/4194304, -\
32834795/16777216], [1265743/1048576, 1265743/1048576]]]], [[8, 11, 9, 2, 5],
[v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -u^2-x, u < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
8208699/4194304, -32834795/16777216], [3, 3]]]], [[8, 13, 4, 5, 1], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [1/2, 1/
2], [-2, -2]]]], [[8, 13, 4, 5, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x =
-1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[8, 13, 4, 5, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1,
And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8,
13, 4, 5, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < 1),
z = (1-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[8, 13, 4, 5, 5], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [1/2, 1
/2], [2, 2]]]], [[9, 2, 1, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2),
x < -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [-1, -1], [-4, -4]]]
], [[9, 2, 1, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y <
0, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-4, -4], [-1, -1], [-146543/65536, -\
2344687/1048576]]]], [[9, 2, 1, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4
, -4], [-1, -1], [0, 0]]]], [[9, 2, 1, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v
^2+2)^(1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [-1
, -1], [2344687/1048576, 146543/65536]]]], [[9, 2, 1, 1, 5], [And(1 < v,v < 2^
(1/2)), u = -(v^2+2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4
, -4], [-1, -1], [4, 4]]]], [[9, 3, 5, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[9, 3, 5, 6, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x
,x < 0), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [
[9, 3, 5, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [1/2,
1/2], [1, 1]]]], [[9, 13, 8, 4, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^
2+1)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0]
, [-1116681/2097152, -139585/262144], [-2, -2]]]], [[9, 13, 8, 4, 2], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [0, 0], [-1116681/2097152, -139585/262144], [-\
765155/1048576, -1530309/2097152]]]], [[9, 13, 8, 4, 3], [And(1 < v,v < 2^(1/2
)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2
) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-1116681/2097152, -\
139585/262144], [-1/4194304, -1/4194304]]]], [[9, 13, 8, 4, 4], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576
, 1454701/1048576], [0, 0], [-1116681/2097152, -139585/262144], [382577/524288
, 765155/1048576]]]], [[9, 13, 8, 4, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [0, 0], [-1116681/2097152, -139585/262144], [2, 2]]]], [[9, 15, 3, 9
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-
u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [4, 4], [0, 0]]]], [[10, 1, 11, 5, 1], [v = 2^(1/2), u < -2
, u^2-3 < x, And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [7, 7], [-4, -4], [0, 0]]]], [[10, 3, 5, 1, 1], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y < -u^2-x+1, z < -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[10, 3, 5, 1
, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y < -u^2-x+1,
z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[10, 3, 5, 1, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
And(-1 < x,x < 0), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[10, 3, 5, 1, 4], [v = 2^(1/2),
And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339
/2097152], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[10,
3, 5, 1, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y < -u
^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[10,
9, 8, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(u^2-1 < y,y < 0)
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/
4, 3/4], [-3/8, -3/8], [0, 0]]]], [[10, 11, 2, 1, 1], [v = 2^(1/2), And(0 < u,
u < 1), x = u^2-3, y < 0, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4], [-1, -1], [-3, -3]]]], [
[10, 11, 2, 1, 2], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y < 0, z = -(-u^
2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[-11/4, -11/4], [-1, -1], [-8122235/4194304, -16244469/8388608]]]], [[10, 11,
2, 1, 3], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y < 0, And(-(-u^2-y+3)^(1
/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-11/4, -11/4], [-1, -1], [-5/16777216, -5/16777216]]]],
[[10, 11, 2, 1, 4], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y < 0, z = (-u^
2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[-11/4, -11/4], [-1, -1], [1015279/524288, 2030559/1048576]]]], [[10, 11, 2, 1
, 5], [v = 2^(1/2), And(0 < u,u < 1), x = u^2-3, y < 0, (-u^2-y+3)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-11/4, -11/4],
[-1, -1], [3, 3]]]], [[10, 15, 6, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -\
275385/524288], [-3982445/4194304, -15929779/16777216], [-3, -3]]]], [[10, 15,
6, 2, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = -2*u^2+4, z = -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-3982445/
4194304, -15929779/16777216], [-1273381/1048576, -318345/262144]]]], [[10, 15,
6, 2, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = -2*u^2+4, And(-
(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -\
275385/524288], [-3982445/4194304, -15929779/16777216], [0, 0]]]], [[10, 15, 6
, 2, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = -2*u^2+4, z = (u
^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-3982445/
4194304, -15929779/16777216], [318345/262144, 1273381/1048576]]]], [[10, 15, 6
, 2, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = -2*u^2+4, (u^2-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-3982445/
4194304, -15929779/16777216], [3, 3]]]], [[10, 17, 1, 7, 1], [v = 2^(1/2), And
(3^(1/2) < u,u < 2), x < -u^2+1, And(-x < y,y < u^2-x-3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [8894075/2097152, 8894075/2097152], [0, 0]]]], [[10, 19, 3
, 9, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), u^2-x-3 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [12, 
12], [0, 0]]]], [[11, 1, 6, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, 
And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5]
, [0, 0], [-17/2, -17/2], [-4, -4]]]], [[11, 1, 6, 3, 2], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [-17/2, -17/2], [-24456785/8388608,
-1528549/524288]]]], [[11, 1, 6, 3, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [-17/2, -17/2], [0, 0]]]], [[11, 1,
6, 3, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0),
z = (-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0], [-17/2, -17/2], [
1528549/524288, 3057099/1048576]]]], [[11, 1, 6, 3, 5], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain,
[[3, 3], [-5, -5], [0, 0], [-17/2, -17/2], [4, 4]]]], [[11, 5, 7, 3, 1], [2^(1
/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^
2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-195745
/262144, -195745/262144], [-3, -3]]]], [[11, 5, 7, 3, 2], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u
^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [-195745/262144, -195745
/262144], [-1048577/1048576, -1]]]], [[11, 5, 7, 3, 3], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2
-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-\
195745/262144, -195745/262144], [0, 0]]]], [[11, 5, 7, 3, 4], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y
,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [-1062385/4194304, -1062385/4194304], [-195745/262144, -\
195745/262144], [1, 1048577/1048576]]]], [[11, 5, 7, 3, 5], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [-195745/262144, -195745
/262144], [3, 3]]]], [[11, 7, 4, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[11, 7, 4, 4, 2], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[
11, 7, 4, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = 0,
And(-1 < z,z < 1)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [0, 0], [0, 0]]]], [[11, 7, 4, 4, 4], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [0, 0], [1, 1]]]], [[11, 7, 4, 4
, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0, 0]
, [2, 2]]]], [[11, 13, 2, 1, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144],
[-1, -1], [-3, -3]]]], [[11, 13, 2, 1, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -\
657547/262144], [-1, -1], [-7856171/4194304, -3928085/2097152]]]], [[11, 13, 2
, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1
, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -\
657547/262144], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 13, 2, 1, 4], [2^
(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z =
(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-5260377/2097152, -657547/262144], [-1, -1], [982021/524288, 1964043
/1048576]]]], [[11, 13, 2, 1, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [
[3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144],
[-1, -1], [3, 3]]]], [[11, 14, 5, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[11,
14, 5, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[11, 14, 5, 5, 3], [2^(1
/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 2965821
/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 14, 5, 5, 4], [2^(1/2) <
v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [1/4,
1/4], [1/2, 1/2]]]], [[11, 14, 5, 5, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3],
[741455/262144, 2965821/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 
19, 1, 9, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2
+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-4, -4], [6, 6], [0, 0]]]], [[11, 20, 4, 5, 1], [2^(1/2) <
v, u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [1/2, 1/2
], [-2, -2]]]], [[11, 20, 4, 5, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, 
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]
], [[11, 20, 4, 5, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(0 < y,y <
1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11, 20, 4, 5, 4],
[2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [1/2, 1/2
], [741455/1048576, 46341/65536]]]], [[11, 20, 4, 5, 5], [2^(1/2) < v, u = (v^
2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3
], [3477733/1048576, 1738867/524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 5,
7, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), -x < y, z = z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [-1062385/4194304, -1062385/4194304], [2, 2], [0, 0]]]], [[1, 7, 4, 6, 1],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-1, -1], [133001/262144, 532005/1048576], [-2, -2]]]], [[1, 7, 4, 6, 2], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [
-1, -1], [133001/262144, 532005/1048576], [-735979/1048576, -1471957/2097152]]
]], [[1, 7, 4, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y
= -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [133001/262144, 
532005/1048576], [-1/4194304, -1/4194304]]]], [[1, 7, 4, 6, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
133001/262144, 532005/1048576], [367989/524288, 735979/1048576]]]], [[1, 7, 4,
6, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [133001/262144, 532005/1048576], [2, 2]]]], [[1, 11, 5, 6,
1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [1/2, 1/2]
, [-1, -1]]]], [[1, 11, 5, 6, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v
^2-2)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [0
, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 11, 5, 6, 3], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 
12, 7, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(0 < y,y
< 1-x), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2
, 1/2], [1/4, 1/4], [0, 0]]]], [[1, 19, 2, 6, 1], [v < -2^(1/2), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-2615197/
1048576, -653799/262144], [391655/131072, 3133241/1048576], [0, 0]]]], [[1, 20
, 4, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z = z]
, [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [3/2
, 3/2], [0, 0]]]], [[2, 3, 3, 9, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
And(-u^2+1 < x,x < -1), u^2-x-3 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [4, 4], [0, 0]]]], [[2, 4, 7, 4, 1], [v = -2^(1/2)
, u = -3^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-\
1/2, -1/2], [-1, -1]]]], [[2, 4, 7, 4, 2], [v = -2^(1/2), u = -3^(1/2), And(0
< x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]],
[[2, 4, 7, 4, 3], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y = -x, 0 < z
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[2, 7, 5, 2, 1], [v =
-2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, z < -(-u^2+3
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-426949/
524288, -3415591/4194304], [-3, -3]]]], [[2, 7, 5, 2, 2], [v = -2^(1/2), And(v
< u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-426949/524288, -\
3415591/4194304], [-1302471/1048576, -651235/524288]]]], [[2, 7, 5, 2, 3], [v
= -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, And(-(-u^2
+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-426949/524288, -3415591/4194304], [0, 0]]]], [[2, 7, 5, 2,
4], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, z =
(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
426949/524288, -3415591/4194304], [651235/524288, 1302471/1048576]]]], [[2, 7,
5, 2, 5], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-\
3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
426949/524288, -3415591/4194304], [3, 3]]]], [[2, 8, 9, 1, 1], [v = -2^(1/2),
u = -1, 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [2, 2], [-5, -5], [-3, -3]]]], [[2, 8, 9,
1, 2], [v = -2^(1/2), u = -1, 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-5, -5]
, [-1816187/1048576, -3632373/2097152]]]], [[2, 8, 9, 1, 3], [v = -2^(1/2), u
= -1, 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-5, -5]
, [-1/4194304, -1/4194304]]]], [[2, 8, 9, 1, 4], [v = -2^(1/2), u = -1, 1 < x,
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[2,
8, 9, 1, 5], [v = -2^(1/2), u = -1, 1 < x, y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-5, -5]
, [3, 3]]]], [[2, 13, 1, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, 
And(0 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [763943/
1048576, 763943/1048576], [-3, -3]]]], [[2, 13, 1, 3, 2], [v = -2^(1/2), And(1
< u,u < -v), x < u^2-3, And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [763943/1048576, 763943/1048576], [-1580343/1048576, -\
3160685/2097152]]]], [[2, 13, 1, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), x <
u^2-3, And(0 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [763943/1048576, 763943/1048576], [-1/4194304, -1/4194304]
]]], [[2, 13, 1, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(0 < y
,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3, -3], [763943/1048576, 763943
/1048576], [790171/524288, 1580343/1048576]]]], [[2, 13, 1, 3, 5], [v = -2^(1/
2), And(1 < u,u < -v), x < u^2-3, And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [763943/1048576, 763943/1048576], [3, 3]]]], [[2, 14, 4, 1
, 1], [v = -2^(1/2), u = -v, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0],
[-2, -2], [-3, -3]]]], [[2, 14, 4, 1, 2], [v = -2^(1/2), u = -v, x = 0, y < -1
, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/
524288]]]], [[2, 14, 4, 1, 3], [v = -2^(1/2), u = -v, x = 0, y < -1, And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0]]]], [[2, 
14, 4, 1, 4], [v = -2^(1/2), u = -v, x = 0, y < -1, z = (-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[2, 14, 4, 1
, 5], [v = -2^(1/2), u = -v, x = 0, y < -1, (-y)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0],
[-2, -2], [3, 3]]]], [[3, 1, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[-8433585/2097152, -8433585/2097152], [-4, -4]]]], [[3, 1, 5, 3, 2], [And(-2^(
1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152], [-\
557415/262144, -2229659/1048576]]]], [[3, 1, 5, 3, 3], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152]
, [0, 0]]]], [[3, 1, 5, 3, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[-8433585/2097152, -8433585/2097152], [2229659/1048576, 557415/262144]]]], [[3
, 1, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0
), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [-8433585/2097152, -\
8433585/2097152], [4, 4]]]], [[3, 2, 7, 4, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2],
[-1/2, -1/2], [-1, -1]]]], [[3, 2, 7, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(
v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2],
[-1/2, -1/2], [0, 0]]]], [[3, 2, 7, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^
2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2],
[-1/2, -1/2], [1, 1]]]], [[3, 7, 3, 2, 1], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
299103/1048576, -149551/524288], [-3, -3]]]], [[3, 7, 3, 2, 2], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2
-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [-299103/1048576, -149551/524288], [-1314069/1048576, -\
328517/262144]]]], [[3, 7, 3, 2, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)
^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [-299103/1048576, -149551/524288], [0, 0]]]], [[3, 7, 3, 2,
4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [-299103/1048576, -149551/524288], [328517
/262144, 1314069/1048576]]]], [[3, 7, 3, 2, 5], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+
v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
299103/1048576, -149551/524288], [3, 3]]]], [[3, 8, 6, 2, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [0,
0], [-2, -2], [-3, -3]]]], [[3, 8, 6, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(
v^2-1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[3, 8, 6, 2, 3], [And(-2^(1/2) < v,v < -\
1), u = -(v^2-1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [0, 0], [-2, -2], [0, 0]]]], [[3, 8, 6, 2, 4], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0
], [-2, -2], [741455/524288, 1482911/1048576]]]], [[3, 8, 6, 2, 5], [And(-2^(1
/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [0, 0], [-2, -2], [3, 3]]]], [[4, 1, 4, 6, 1], [v = -1, u < -3
^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [-3, -3], [-1, -1],
[1, 1], [-1, -1]]]], [[4, 1, 4, 6, 2], [v = -1, u < -3^(1/2), x = -1, y = 1, z
= 0], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[4, 1
, 4, 6, 3], [v = -1, u < -3^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1
, -1], [-3, -3], [-1, -1], [1, 1], [1, 1]]]], [[4, 2, 6, 5, 1], [v = -1, u = -
3^(1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[-1, -1], [-1816187
/1048576, -3632373/2097152], [0, 0], [1/2, 1/2], [0, 0]]]], [[4, 7, 2, 5, 1],
[v = -1, And(-1 < u,u < 0), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z < -(-u^
2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [13/8, 
13/8], [-2, -2]]]], [[4, 7, 2, 5, 2], [v = -1, And(-1 < u,u < 0), x = u^2-2, 
And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-7/4, -7/4], [13/8, 13/8], [-46341/131072, -370727/1048576]]
]], [[4, 7, 2, 5, 3], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(-2*u^2+2 < y,
y < -u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [13/8, 13/8], [0, 0]]]], [[4, 7, 2, 5,
4], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = (
-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [13/8
, 13/8], [370727/1048576, 46341/131072]]]], [[4, 7, 2, 5, 5], [v = -1, And(-1
< u,u < 0), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [13/8, 13/8], [2, 2]]]],
[[4, 8, 5, 5, 1], [v = -1, u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-2
, -2]]]], [[4, 8, 5, 5, 2], [v = -1, u = 0, And(-1 < x,x < 0), And(0 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [1/4,
1/4], [-1/2, -1/2]]]], [[4, 8, 5, 5, 3], [v = -1, u = 0, And(-1 < x,x < 0), 
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1, -1], [0, 0], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[4, 8, 5, 5, 4], [v =
-1, u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[4
, 8, 5, 5, 5], [v = -1, u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [1/4, 1/4], [2, 2]]
]], [[4, 14, 8, 3, 1], [v = -1, u = 3^(1/2), x = 1, And(-4 < y,y < -1), z < -(
-y-1)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1,
1], [-5/2, -5/2], [-3, -3]]]], [[4, 14, 8, 3, 2], [v = -1, u = 3^(1/2), x = 1,
And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [1, 1], [-5/2, -5/2], [-1284239/1048576, -642119/
524288]]]], [[4, 14, 8, 3, 3], [v = -1, u = 3^(1/2), x = 1, And(-4 < y,y < -1)
, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [908093
/524288, 1816187/1048576], [1, 1], [-5/2, -5/2], [0, 0]]]], [[4, 14, 8, 3, 4],
[v = -1, u = 3^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [-5/2, -5/
2], [642119/524288, 1284239/1048576]]]], [[4, 14, 8, 3, 5], [v = -1, u = 3^(1/
2), x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [1, 1], [-5/2, -5/2], [3, 3]]]], [[5, 1, 1, 4
, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11]
, [5/4, 5/4], [-5, -5]]]], [[5, 1, 1, 4, 2], [And(-1 < v,v < 0), u < -(v^2+2)^
(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [5/4, 5/4], [-1637089/
524288, -3274177/1048576]]]], [[5, 1, 1, 4, 3], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^
2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [5/4, 5
/4], [0, 0]]]], [[5, 1, 1, 4, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-3, -3], [-11, -11], [5/4, 5/4], [3274177/1048576, 1637089/524288]]]],
[[5, 1, 1, 4, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y =
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3],
[-11, -11], [5/4, 5/4], [5, 5]]]], [[5, 5, 2, 6, 1], [And(-1 < v,v < 0), And(-
(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [1472733/1048576, 736367/524288], [-1, -1]]]], [[5,
5, 2, 6, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1
, y = u^2-v^2+1, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-736367/524288, -1472733/1048576], [1472733/1048576, 736367
/524288], [0, 0]]]], [[5, 5, 2, 6, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-1/2, -1/
2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576],
[1472733/1048576, 736367/524288], [1, 1]]]], [[5, 6, 6, 1, 1], [And(-1 < v,v <
0), u = v, x = 1, y < -2, z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-1/2, -1/2], [1, 1], [-3, -3], [-3, -3]]]], [[5, 6, 6, 1, 2], [And(-1 < v,v <
0), u = v, x = 1, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-1/2, -1/2], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[5, 6,
6, 1, 3], [And(-1 < v,v < 0), u = v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-3, -3],
[0, 0]]]], [[5, 6, 6, 1, 4], [And(-1 < v,v < 0), u = v, x = 1, y < -2, z = (-y
-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-3, -3], [
741455/524288, 1482911/1048576]]]], [[5, 6, 6, 1, 5], [And(-1 < v,v < 0), u =
v, x = 1, y < -2, (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/
2], [1, 1], [-3, -3], [3, 3]]]], [[5, 9, 5, 4, 1], [And(-1 < v,v < 0), And(-v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [0, 0], [-2, -2]]]], [[5, 9, 5, 4, 2], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152
], [-1672995/2097152, -1672995/2097152], [0, 0], [-7492423/8388608, -3746211/
4194304]]]], [[5, 9, 5, 4, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [0, 0], [-3/8388608, -3/8388608]]]], [[5, 9, 5, 4,
4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-\
1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [117069/131072
, 936553/1048576]]]], [[5, 9, 5, 4, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^
2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, (-x)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -\
1672995/2097152], [0, 0], [2, 2]]]], [[5, 10, 9, 3, 1], [And(-1 < v,v < 0), u
= (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [-3, -\
3], [-2, -2]]]], [[5, 10, 9, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 <
x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [2, 2], [-3, -3], [-1, -1]]]], [[5, 10, 9, 3,
3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [2, 2], [-3, -3], [0, 0]]]], [[5, 10, 9, 3, 4], [And(
-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [
-3, -3], [1, 1]]]], [[5, 10, 9, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [2, 2], [-3, -3], [2, 2]]]], [[6, 1, 8, 7, 1
], [v = 0, u < -2^(1/2), x = 1, And(0 < y,y < u^2-2), z = z], [regular_chain,
[[0, 0], [-3, -3], [1, 1], [7/2, 7/2], [0, 0]]]], [[6, 3, 1, 8, 1], [v = 0, 
And(-2^(1/2) < u,u < -1), x < -u^2-1, y = u^2-x-1, z = z], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [2336807/524288, 4673615
/1048576], [0, 0]]]], [[6, 9, 5, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1
< x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[6,
9, 5, 5, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[6, 9, 5, 5, 3], [v = 0,
And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[6, 9, 5, 5, 4], [v = 0, And(1
< u,u < 2^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/4
, 1/4], [1/2, 1/2]]]], [[6, 9, 5, 5, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(-\
1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[6, 
10, 7, 6, 1], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [0, 0],
[0, 0]]]], [[7, 3, 7, 1, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576
, 243021/1048576], [-4, -4], [-3, -3]]]], [[7, 3, 7, 1, 2], [And(0 < v,v < 1),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2
+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [243021/1048576, 243021/1048576], [-4, -4], [-8141961/4194304,
-32567843/16777216]]]], [[7, 3, 7, 1, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [243021/1048576, 243021/1048576], [-4, -4], [-3/
33554432, -3/33554432]]]], [[7, 3, 7, 1, 4], [And(0 < v,v < 1), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[243021/1048576, 243021/1048576], [-4, -4], [1017745/524288, 2035491/1048576]]
]], [[7, 3, 7, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576,
243021/1048576], [-4, -4], [3, 3]]]], [[7, 5, 1, 9, 1], [And(0 < v,v < 1), And
(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, -x < y, z = z], [regular_chain, [
[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [4, 4], [0, 0]]]],
[[8, 1, 9, 8, 1], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = u^2-x-2, z =
z], [regular_chain, [[1, 1], [-3, -3], [4, 4], [3, 3], [0, 0]]]], [[8, 3, 3, 6
, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = -x, z
< 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767
/1048576, -1821767/1048576], [1821767/1048576, 1821767/1048576], [-1, -1]]]],
[[8, 3, 3, 6, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1)
, y = -x, z = 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304
], [-1821767/1048576, -1821767/1048576], [1821767/1048576, 1821767/1048576], [
0, 0]]]], [[8, 3, 3, 6, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 <
x,x < -1), y = -x, 0 < z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [1821767/1048576, 
1821767/1048576], [1, 1]]]], [[8, 7, 7, 7, 1], [v = 1, And(-1 < u,u < 0), And(
-u^2 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1
], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/16], [-2, -2]]]], [[8, 7, 7, 7, 2], [v
= 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/16], [-1/4
, -1/4]]]], [[8, 7, 7, 7, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0),
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1, 1], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/16], [0, 0]]]], [[8, 7, 7, 7, 4],
[v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^
(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [1/16, 1/16], [1/
4, 1/4]]]], [[8, 7, 7, 7, 5], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0),
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [
-1/8, -1/8], [1/16, 1/16], [2, 2]]]], [[8, 9, 3, 3, 1], [v = 1, And(0 < u,u <
1), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [-3/16, -3/16], [-3, -3]]]
], [[8, 9, 3, 3, 2], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(u^2-
x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/
8, -11/8], [-3/16, -3/16], [-5/4, -5/4]]]], [[8, 9, 3, 3, 3], [v = 1, And(0 <
u,u < 1), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [-3/
16, -3/16], [0, 0]]]], [[8, 9, 3, 3, 4], [v = 1, And(0 < u,u < 1), And(u^2-2 <
x,x < -1), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [-11/8, -11/8], [-3/16, -3/16], [5/4, 5/4]]]], [[8, 9, 3, 3, 5], [
v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), (-x-y)
^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [-3/16, -3/
16], [3, 3]]]], [[8, 15, 4, 7, 1], [v = 1, 3^(1/2) < u, x = -1, And(1 < y,y <
u^2-1), z = z], [regular_chain, [[1, 1], [3, 3], [-1, -1], [9/2, 9/2], [0, 0]]
]], [[9, 1, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [-10006449/2097152, -\
10006449/2097152], [-4, -4]]]], [[9, 1, 7, 3, 2], [And(1 < v,v < 2^(1/2)), u <
-(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2
], [-10006449/2097152, -10006449/2097152], [-2167143/1048576, -1083571/524288]
]]], [[9, 1, 7, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,
x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [
-10006449/2097152, -10006449/2097152], [0, 0]]]], [[9, 1, 7, 3, 4], [And(1 < v
,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3, -3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152], [1083571/524288,
2167143/1048576]]]], [[9, 1, 7, 3, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(
1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [-\
10006449/2097152, -10006449/2097152], [4, 4]]]], [[9, 5, 7, 8, 1], [And(1 < v,
v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -x
, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-558339/2097152, -558339/2097152], [279169/
1048576, 139585/524288], [-1, -1]]]], [[9, 5, 7, 8, 2], [And(1 < v,v < 2^(1/2)
), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-558339/2097152, -558339/2097152], [279169/1048576, 139585/
524288], [0, 0]]]], [[9, 5, 7, 8, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1
/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
558339/2097152, -558339/2097152], [279169/1048576, 139585/524288], [1, 1]]]],
[[9, 7, 4, 9, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
-1, 1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [2, 2], [0, 0]]]], [[9, 9, 9, 3,
1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u
^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-8208699/4194304, -8208699/4194304], [-3, -3]]]], [[9, 9, 9
, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-8208699/4194304, -8208699/4194304], [-1162243/1048576, -\
581121/524288]]]], [[9, 9, 9, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/
2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-\
8208699/4194304, -8208699/4194304], [0, 0]]]], [[9, 9, 9, 3, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-\
8208699/4194304, -8208699/4194304], [581121/524288, 1162243/1048576]]]], [[9,
9, 9, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-8208699/4194304, -8208699/4194304], [3, 3]]]], [[9, 11, 4,
6, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = -u^2
+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/262144, 598205/
1048576], [-2, -2]]]], [[9, 11, 4, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)
^(1/2) < u,u < v), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [149551/262144, 598205/1048576], [-1374407/2097152, -\
687203/1048576]]]], [[9, 11, 4, 6, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [149551/262144, 598205/1048576], [0, 0]]]]
, [[9, 11, 4, 6, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/262144,
598205/1048576], [687203/1048576, 171801/262144]]]], [[9, 11, 4, 6, 5], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = -u^2+v^2, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [149551/262144, 598205/1048576], [2, 2]]]]
, [[9, 15, 8, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [501965/1048576, 250983/
524288], [1, 1], [0, 0]]]], [[9, 17, 2, 3, 1], [And(1 < v,v < 2^(1/2)), (v^2+2
)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/
524288, -8957873/1048576], [8957873/2097152, 8957873/2097152], [-4, -4]]]], [[
9, 17, 2, 3, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [-2167143/1048576, -1083571/524288]]]], [[9
, 17, 2, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/
524288, -8957873/1048576], [8957873/2097152, 8957873/2097152], [0, 0]]]], [[9,
17, 2, 3, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(
0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[9,
17, 2, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(
0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [
8957873/2097152, 8957873/2097152], [4, 4]]]], [[10, 5, 9, 4, 1], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-x-3, z < -(-u^2+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [1/2, 1/2], [-537529/524288, -1075057/1048576], [-2, -2]]]], [[10,
5, 9, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2
-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-537529/524288, -1075057/
1048576], [-379975/524288, -1519899/2097152]]]], [[10, 5, 9, 4, 3], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-x-3, And(-(-u^2+3)^(1/
2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-537529/524288, -1075057/
1048576], [-1/4194304, -1/4194304]]]], [[10, 5, 9, 4, 4], [v = 2^(1/2), And(-3
^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1/2, 1/2], [-537529/524288, -1075057/1048576], [759949/1048576, 
379975/524288]]]], [[10, 5, 9, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
And(0 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-\
537529/524288, -1075057/1048576], [2, 2]]]], [[10, 7, 6, 3, 1], [v = 2^(1/2),
And(-v < u,u < -1), x = -u^2+1, And(2*u^2-4 < y,y < 0), z < -(u^2-y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743
/1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265/
1048576], [-2, -2]]]], [[10, 7, 6, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), x
= -u^2+1, And(2*u^2-4 < y,y < 0), z = -(u^2-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [-569265/1048576, -569265/1048576], [-\
2199022958689/2199023255552, -4398045917377/4398046511104]]]], [[10, 7, 6, 3,
3], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, And(2*u^2-4 < y,y < 0), And(
-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [-569265/1048576, -569265/1048576], [-3600577/8796093022208, -\
3600577/8796093022208]]]], [[10, 7, 6, 3, 4], [v = 2^(1/2), And(-v < u,u < -1)
, x = -u^2+1, And(2*u^2-4 < y,y < 0), z = (u^2-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [-569265/1048576, -569265/1048576], [1048575/
1048576, 1]]]], [[10, 7, 6, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+
1, And(2*u^2-4 < y,y < 0), (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [-569265/1048576, -569265/1048576], [2, 2]]]], [[10,
11, 7, 1, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x
-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/
2, 1/2], [3/8, 3/8], [-5, -5], [-4, -4]]]], [[10, 11, 7, 1, 2], [v = 2^(1/2),
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-5,
-5], [-281881/131072, -2255047/1048576]]]], [[10, 11, 7, 1, 3], [v = 2^(1/2),
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [3/8, 3/8], [-5, -5], [0, 0]]]], [[10, 11, 7, 1, 4], [v = 2^(1/2), And(0 <
u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-5,
-5], [2255047/1048576, 281881/131072]]]], [[10, 11, 7, 1, 5], [v = 2^(1/2), 
And(0 < u,u < 1), And(0 < x,x < -u^2+1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-5,
-5], [4, 4]]]], [[10, 13, 2, 4, 1], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3,
y = -2*u^2+4, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [569265/524288, 1138531/1048576], [-2, -2]]]], [[10, 13, 2, 4, 2], [
v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/524288, 1138531/
1048576], [-1417877/2097152, -354469/524288]]]], [[10, 13, 2, 4, 3], [v = 2^(1
/2), And(1 < u,u < v), x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^
2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [569265/
524288, 1138531/1048576], [0, 0]]]], [[10, 13, 2, 4, 4], [v = 2^(1/2), And(1 <
u,u < v), x = u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683
/2097152, -1617841/1048576], [569265/524288, 1138531/1048576], [354469/524288,
708939/1048576]]]], [[10, 13, 2, 4, 5], [v = 2^(1/2), And(1 < u,u < v), x = u^
2-3, y = -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [569265/524288, 1138531/1048576], [2, 2]]]], [[11, 3, 6, 5,
1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(0 < y
,y < u^2-v^2-1), z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [0, 0], [129511/524288, 129511/524288], [0, 0]]]], [[11, 5, 2, 1, 1]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z < -(u
^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-195745/131072, -1565959/1048576], [-1, -1], [-3, -3]]]], [[11, 5, 2, 1, 2],
[2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z = -(u^2
-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-195745/131072, -1565959/1048576], [-1, -1], [-3311519/2097152, -1655759/
1048576]]]], [[11, 5, 2, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-1, -1], [0, 0]]]], [[11, 5, 2, 1, 4], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-1, -1], [1655759/1048576, 103485/65536]]]], [[11, 5, 2, 1,
5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, (u^2-
v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-195745/131072, -1565959/1048576], [-1, -1], [3, 3]]]], [[11, 9, 6, 4, 1],
[2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = 0, z < 0]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [0,
0], [-1, -1]]]], [[11, 9, 6, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [0, 0], [0, 0], [0, 0]]]], [[11, 9, 6, 4, 3], [2^
(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [0, 0]
, [1, 1]]]], [[11, 10, 9, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y =
-x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [2, 2], [-5, -5], [-3, -3]]]], [[11, 10, 9, 2, 2], [2^(1/2) < v, u =
-(v^2-2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 10, 9, 2, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 <
x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]
]]], [[11, 10, 9, 2, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y = -x-3, z
= 3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2,
2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[11, 10, 9, 2, 5], [2^(1/2
) < v, u = -(v^2-2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [2, 2], [-5, -5], [3, 3]]]], [[11, 
17, 1, 4, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [-3, -3], [197471/131072, 1579769/1048576], [-3, -3]]]], [[
11, 17, 1, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1,
y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-3, -3], [197471/131072, 1579769/1048576], [-1281417/
1048576, -160177/131072]]]], [[11, 17, 1, 4, 3], [2^(1/2) < v, And(v < u,u < (
v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [-3, -3], [197471/131072, 1579769/1048576], [0, 0]]]], [[11, 17, 1, 4, 4], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-3, -3], [197471/131072, 1579769/1048576], [160177/131072, 1281417/1048576]]]
], [[11, 17, 1, 4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^
2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-3, -3], [197471/131072, 1579769/1048576], [3,
3]]]], [[11, 18, 4, 6, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y = 1, z <
0], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [1, 1]
, [-1, -1]]]], [[11, 18, 4, 6, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y
= 1, z = 0], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1
], [1, 1], [0, 0]]]], [[11, 18, 4, 6, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x =
-1, y = 1, 0 < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
-1, -1], [1, 1], [1, 1]]]], [[1, 2, 1, 1, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2
), x < -3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[1, 2, 1, 1, 2],
[v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1,
-1], [-146543/65536, -2344687/1048576]]]], [[1, 2, 1, 1, 3], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1,
-1], [0, 0]]]], [[1, 2, 1, 1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y
< 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[1, 2, 1, 1
, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1,
-1], [4, 4]]]], [[1, 3, 5, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2],
[-267636247/134217728, -133818123/67108864], [-3, -3]]]], [[1, 3, 5, 2, 2], [v
< -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y =
-u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -133818123/
67108864], [-1655969/1048576, -3311937/2097152]]]], [[1, 3, 5, 2, 3], [v < -2^
(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2
+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-267636247/
134217728, -133818123/67108864], [-1/4194304, -1/4194304]]]], [[1, 3, 5, 2, 4]
, [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0)
, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -\
133818123/67108864], [51749/32768, 1655969/1048576]]]], [[1, 3, 5, 2, 5], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -
u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -133818123/
67108864], [3, 3]]]], [[1, 7, 10, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [1, 1], [-5258313/2097152, -657289/
262144], [-3, -3]]]], [[1, 7, 10, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [1, 1], [-5258313/2097152, -657289/
262144], [-1287385/1048576, -160923/131072]]]], [[1, 7, 10, 2, 3], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/
2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [0, 0]]]], [[1,
7, 10, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2
-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [160923/131072,
1287385/1048576]]]], [[1, 7, 10, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [1, 1], [-5258313/2097152, -657289/
262144], [3, 3]]]], [[1, 9, 5, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [-4, -4], [-4, -4]]]], [[1, 9, 5, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2
], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[1, 9, 5, 1, 3], [v < -2
^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2
-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[1
, 9, 5, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(
-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-4, -4], [2224365/
1048576, 1112183/524288]]]], [[1, 9, 5, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2,
-1/2], [-4, -4], [4, 4]]]], [[1, 15, 3, 4, 1], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [0, 0], [-3, -3]]]], [[1, 15, 3, 4, 2], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [0, 0], [-293517/262144, -1174067/1048576]]]], [[1, 15, 3, 4,
3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [0, 0]]]
], [[1, 15, 3, 4, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^
2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [1174067/
1048576, 293517/262144]]]], [[1, 15, 3, 4, 5], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [0, 0], [3, 3]]]], [[1, 16, 6, 6, 1], [v < -2^(1/2), u = -v,
x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [3, 3], [1, 1], [0, 0], [0, 0
]]]], [[1, 21, 1, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And
(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5
], [-18, -18], [1/2, 1/2], [-6, -6]]]], [[1, 21, 1, 3, 2], [v < -2^(1/2), (v^2
+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [5, 5], [-18, -18], [1/2, 1/2], [-4386509/1048576
, -1096627/262144]]]], [[1, 21, 1, 3, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [1/2, 1/2], [0, 0]]]], [
[1, 21, 1, 3, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,
y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18,
-18], [1/2, 1/2], [1096627/262144, 4386509/1048576]]]], [[1, 21, 1, 3, 5], [v
< -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-
x-y)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [1/2, 1/2], [6
, 6]]]], [[2, 1, 3, 4, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y =
0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[2, 1, 3, 4, 2], [v = -2^(1/2), u < -\
2, And(-u^2+1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [0, 0], [-1112183/524288, -\
2224365/1048576]]]], [[2, 1, 3, 4, 3], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [0, 0], [0, 0]]]], [[2, 1,
3, 4, 4], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = 0, z = (-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2]
, [0, 0], [2224365/1048576, 1112183/524288]]]], [[2, 1, 3, 4, 5], [v = -2^(1/2
), u < -2, And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [0, 0], [4, 4]]]], [
[2, 10, 9, 8, 1], [v = -2^(1/2), u = 0, 1 < x, y = 0, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[2, 
12, 3, 4, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2],
[0, 0], [-3, -3]]]], [[2, 12, 3, 4, 2], [v = -2^(1/2), u = 1, And(-2 < x,x < -\
1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]],
[[2, 12, 3, 4, 3], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [1, 1], [-3/2, -3/2], [0, 0], [0, 0]]]], [[2, 12, 3, 4, 4], [v = -2^(1/2),
u = 1, And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [0, 0], [642119/524288, 
1284239/1048576]]]], [[2, 12, 3, 4, 5], [v = -2^(1/2), u = 1, And(-2 < x,x < -\
1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1, 1], [-3/2, -3/2], [0, 0], [3, 3]]]], [[2, 16, 9, 5, 1], [v = -2^(1/2),
u = 3^(1/2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-1, -1],
[0, 0]]]], [[2, 18, 2, 6, 1], [v = -2^(1/2), u = 2, x = -3, y = 4, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [4, 4],
[0, 0]]]], [[3, 4, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1
< x, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [2, 2], [1, 1], [0, 0]]]], [[3, 6, 3, 5, 1],
[And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743
/1048576, -1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3, 6, 3,
5, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(0 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[3, 6, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/
2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 6, 3, 5, 4], [And(-2^(1/2) < v,v < -1),
u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576],
[-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[3, 6, 3, 5, 5], [And(-2^(1/2) < v,v
< -1), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3, 10, 9, 6, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y = 0, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2,
2], [0, 0], [0, 0]]]], [[3, 12, 3, 4, 1], [And(-2^(1/2) < v,v < -1), u = -v, 
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0, 0],
[-2, -2]]]], [[3, 12, 3, 4, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,
x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0, 0], [-1482911/
2097152, -741455/1048576]]]], [[3, 12, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u
= -v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[3, 12, 3, 4, 4], [And(-2^
(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[3,
12, 3, 4, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y = 0, (-x
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[3, 15, 1, 9, 1],
[And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+
v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [6, 6], [0, 0]]]], [[3, 16
, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y < -2, z <
-(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[3, 16, 4, 1, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[3, 16, 4, 1, 3], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[3, 16, 4, 1, 4], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [-3, -3], [2, 2]]]], [[3, 16, 4, 1, 5], [And(-2^(1/2) < v,
v < -1), u = (v^2+2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -\
1], [-3, -3], [3, 3]]]], [[4, 3, 3, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1
/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-773191/2097152, -773191/2097152], [-3, -3]]]], [
[4, 3, 3, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1)
, And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-\
773191/2097152, -773191/2097152], [-760861/524288, -1521721/1048576]]]], [[4,
3, 3, 3, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), 
And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-773191/2097152, -773191/2097152], [0, 0]]]], [[4
, 3, 3, 3, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1),
And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-773191/
2097152, -773191/2097152], [1521721/1048576, 760861/524288]]]], [[4, 3, 3, 3,
5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [-773191/2097152, -\
773191/2097152], [3, 3]]]], [[4, 4, 6, 3, 1], [v = -1, u = -2^(1/2), x = 0, 
And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [-2, -2]]]], [[4, 4, 6, 3, 2], [v
= -1, u = -2^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain
, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-1, -1]]]]
, [[4, 4, 6, 3, 3], [v = -1, u = -2^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [0, 0], [-1, -1], [0, 0]]]], [[4, 4, 6, 3, 4], [v = -1, u = -2
^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1, 1]]]], [[4, 4, 6, 3,
5], [v = -1, u = -2^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [-1, -1]
, [2, 2]]]], [[4, 11, 3, 8, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,
x < -1), y = -x, z < 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1288231/1048576, -1288231/1048576], [1288231/1048576, 1288231/
1048576], [-1, -1]]]], [[4, 11, 3, 8, 2], [v = -1, And(1 < u,u < 2^(1/2)), And
(-u^2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [1288231/1048576, 
1288231/1048576], [0, 0]]]], [[4, 11, 3, 8, 3], [v = -1, And(1 < u,u < 2^(1/2)
), And(-u^2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [1288231/
1048576, 1288231/1048576], [1, 1]]]], [[4, 12, 7, 3, 1], [v = -1, u = 2^(1/2),
And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]
]], [[4, 12, 7, 3, 2], [v = -1, u = 2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[4, 12, 7, 3, 3], [v = -1, u
= 2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1
/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[4, 12, 7, 3, 4], [v = -1, u = 2^(1/2), 
And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]],
[[4, 12, 7, 3, 5], [v = -1, u = 2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[5, 1, 6, 7, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = 0, u^2-v^2-1 < y, z = z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [0, 0], [9, 9], [0, 0]]]], [[5, 2, 9, 1, 1], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3/2, -3/2], [2, 2], [-6, -6], [-3, -3]]]], [[5, 2, 9, 1, 2],
[And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [-6, -6], [-2, -2]]]], [[5
, 2, 9, 1, 3], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2
], [2, 2], [-6, -6], [0, 0]]]], [[5, 2, 9, 1, 4], [And(-1 < v,v < 0), u = -(v^
2+2)^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-3/2, -3/2], [2, 2], [-6, -6], [2, 2]]]], [[5, 2, 9, 1, 5], [And(-1 < v,v < 0
), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [-3/2, -3/2], [2, 2], [-6, -6], [3, 3]]]], [[5, 13, 1, 3, 1], [And
(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [5/8,
5/8], [-5, -5]]]], [[5, 13, 1, 3, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3, 3], [-11, -11], [5/8, 5/8], [-1688745/524288, -3377489/
1048576]]]], [[5, 13, 1, 3, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^
2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [5/8, 5/8], [0, 0]]]], [[
5, 13, 1, 3, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0
< y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3
], [-11, -11], [5/8, 5/8], [3377489/1048576, 1688745/524288]]]], [[5, 13, 1, 3
, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^
2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -\
11], [5/8, 5/8], [5, 5]]]], [[6, 1, 3, 4, 1], [v = 0, u < -2^(1/2), And(-u^2-1
< x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11/
2, -11/2], [0, 0], [-4, -4]]]], [[6, 1, 3, 4, 2], [v = 0, u < -2^(1/2), And(-u
^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3],
[-11/2, -11/2], [0, 0], [-2459129/1048576, -307391/131072]]]], [[6, 1, 3, 4, 3
], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [0, 0], [0,
0]]]], [[6, 1, 3, 4, 4], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [0, 0], [
307391/131072, 2459129/1048576]]]], [[6, 1, 3, 4, 5], [v = 0, u < -2^(1/2), 
And(-u^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-3,
-3], [-11/2, -11/2], [0, 0], [4, 4]]]], [[6, 5, 4, 4, 1], [v = 0, And(-1 < u,u
< 0), x = -1, y = 0, z < -1], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1],
[0, 0], [-2, -2]]]], [[6, 5, 4, 4, 2], [v = 0, And(-1 < u,u < 0), x = -1, y =
0, z = -1], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [0, 0], [-1, -1]]
]], [[6, 5, 4, 4, 3], [v = 0, And(-1 < u,u < 0), x = -1, y = 0, And(-1 < z,z <
1)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]], [[6,
5, 4, 4, 4], [v = 0, And(-1 < u,u < 0), x = -1, y = 0, z = 1], [regular_chain,
[[0, 0], [-1/2, -1/2], [-1, -1], [0, 0], [1, 1]]]], [[6, 5, 4, 4, 5], [v = 0,
And(-1 < u,u < 0), x = -1, y = 0, 1 < z], [regular_chain, [[0, 0], [-1/2, -1/2
], [-1, -1], [0, 0], [2, 2]]]], [[6, 7, 1, 1, 1], [v = 0, And(0 < u,u < 1), x
< -u^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3,
-3], [-1, -1], [-3, -3]]]], [[6, 7, 1, 1, 2], [v = 0, And(0 < u,u < 1), x < -u
^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3]
, [-1, -1], [-2, -2]]]], [[6, 7, 1, 1, 3], [v = 0, And(0 < u,u < 1), x < -u^2-\
1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [
1/2, 1/2], [-3, -3], [-1, -1], [0, 0]]]], [[6, 7, 1, 1, 4], [v = 0, And(0 < u,
u < 1), x < -u^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1
/2], [-3, -3], [-1, -1], [2, 2]]]], [[6, 7, 1, 1, 5], [v = 0, And(0 < u,u < 1)
, x < -u^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [
-3, -3], [-1, -1], [3, 3]]]], [[7, 1, 8, 4, 1], [And(0 < v,v < 1), u < -(v^2+2
)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1],
[-1, -1], [-1, -1]]]], [[7, 1, 8, 4, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2)
, x = 1, y = -1, z = 0], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-1, -\
1], [0, 0]]]], [[7, 1, 8, 4, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1,
y = -1, 0 < z], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-1, -1], [1, 1
]]]], [[7, 3, 1, 5, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [
2902707/1048576, 2902707/1048576], [-3, -3]]]], [[7, 3, 1, 5, 2], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2
-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-4, -4], [2902707/1048576, 2902707/1048576], [-\
1163761/1048576, -72735/65536]]]], [[7, 3, 1, 5, 3], [And(0 < v,v < 1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-4, -4], [2902707/1048576, 2902707/1048576],
[0, 0]]]], [[7, 3, 1, 5, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [
2902707/1048576, 2902707/1048576], [72735/65536, 1163761/1048576]]]], [[7, 3,
1, 5, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -
u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [2902707/1048576, 
2902707/1048576], [3, 3]]]], [[7, 7, 6, 1, 1], [And(0 < v,v < 1), And(-v < u,u
< v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-2, -2], [-3, -3]]]], [[7,
7, 6, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2
*v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -\
3/4], [-2, -2], [-1738867/1048576, -3477733/2097152]]]], [[7, 7, 6, 1, 3], [
And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^
2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [
0, 0], [-3/4, -3/4], [-2, -2], [-1/4194304, -1/4194304]]]], [[7, 7, 6, 1, 4],
[And(0 < v,v < 1), And(-v < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = (u^
2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-2, -2]
, [869433/524288, 1738867/1048576]]]], [[7, 7, 6, 1, 5], [And(0 < v,v < 1), 
And(-v < u,u < v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [0, 0], [-3/4, -3/4], [-2, -2], [3, 3]]]], [[7, 9
, 2, 7, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, u
^2-v^2+1 < y, z = z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-736367/524288, -1472733/1048576], [3, 3], [0, 0]]]], [[7, 11, 7, 2
, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x
< u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-\
5652431/2097152, -2826215/1048576], [-3, -3]]]], [[7, 11, 7, 2, 2], [And(0 < v
,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y
= -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [243021/1048576, 243021/1048576], [-5652431/2097152, -\
2826215/1048576], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 7, 2, 3],
[And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2
-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576,
243021/1048576], [-5652431/2097152, -2826215/1048576], [0, 0]]]], [[7, 11, 7,
2, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,
x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-\
5652431/2097152, -2826215/1048576], [1645805/1048576, 822903/524288]]]], [[7,
11, 7, 2, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 
243021/1048576], [-5652431/2097152, -2826215/1048576], [3, 3]]]], [[7, 12, 9,
7, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, And(1-x < y,y < 0), z = z]
, [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-1/2, -1/2], [0, 0]]]], [[
8, 3, 8, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, And(-u^2+2
< y,y < 0), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [248903/524288, 497807/1048576], [-248903/1048576, -248903/1048576],
[0, 0]]]], [[8, 5, 4, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y < -u^
2+1, z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 5, 4, 1, 2], [v = 1, And(-2^(1
/2) < u,u < -1), x = -1, y < -u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[1, 1
], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [-1816187/1048576
, -3632373/2097152]]]], [[8, 5, 4, 1, 3], [v = 1, And(-2^(1/2) < u,u < -1), x
= -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[8, 5, 4, 1, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y < -
u^2+1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[8, 5, 4,
1, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y < -u^2+1, (1-y)^(1/2) < z],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2,
-2], [3, 3]]]], [[8, 11, 9, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x
< 1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[8, 11, 9, 1, 2
], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y < -u^2-x, z = -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2]
, [-3, -3], [-3315889/2097152, -207243/131072]]]], [[8, 11, 9, 1, 3], [v = 1,
And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[1/2, 1/2], [-3, -3], [0, 0]]]], [[8, 11, 9, 1, 4], [v = 1, And(1 < u,u < 2^(1
/2)), And(0 < x,x < 1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1]
, [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[8, 11, 9, 1, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(0
< x,x < 1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [3, 3]]]], [[8, 13, 4, 4, 1],
[v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = 0, z < -1], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[
8, 13, 4, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = 0, z = -1],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0],
[-1, -1]]]], [[8, 13, 4, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1,
y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-1, -1], [0, 0], [0, 0]]]], [[8, 13, 4, 4, 4], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-1, -1], [0, 0], [1, 1]]]], [[8, 13, 4, 4, 5], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[1,
1], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0], [2, 2]]]], [[9, 2, 1
, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = 0, z < -(-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [0, 0], [-3, -3]]]], [[9, 2, 1, 2, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [0, 0], [-2, -2]]]], [[9, 2, 1, 2, 3], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [0, 0], [0, 0]]]], [[9, 2, 1, 2, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [0, 0], [2, 2]]]], [[9, 2, 1, 2, 5], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [
-4, -4], [0, 0], [3, 3]]]], [[9, 3, 5, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < u^2-v^2
-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233
/8388608, -14373233/8388608], [-1/2, -1/2], [1550541/2097152, 1550541/2097152]
, [0, 0]]]], [[9, 13, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [-2, -2]]]], [[9, 13,
8, 3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u
^2+v^2-1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-\
4194303/4194304, -4194303/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[9, 13, 8, 3, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [-\
3670015/8796093022208, -3670015/8796093022208]]]], [[9, 13, 8, 3, 4], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^
2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [0, 0], [-4194303/4194304, -4194303/
4194304], [1048575/1048576, 1]]]], [[9, 13, 8, 3, 5], [And(1 < v,v < 2^(1/2)),
And(v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), (-y)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [2, 2
]]]], [[9, 15, 3, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [2325811/1048576, 581453/262144
], [0, 0]]]], [[10, 1, 11, 6, 1], [v = 2^(1/2), u < -2, u^2-3 < x, y = u^2-x-3
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7],
[-1, -1], [0, 0]]]], [[10, 3, 5, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, And(-1 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [-66506595/33554432, -33253297/16777216], [-3, -3]]]], [[10, 3, 5, 2, 2
], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -u^2-x+1, z
= -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -\
33253297/16777216], [-825991/524288, -3303963/2097152]]]], [[10, 3, 5, 2, 3],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -u^2-x+1, And(-
(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-\
66506595/33554432, -33253297/16777216], [-1/4194304, -1/4194304]]]], [[10, 3,
5, 2, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -u^2-
x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -\
33253297/16777216], [1651981/1048576, 825991/524288]]]], [[10, 3, 5, 2, 5], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -u^2-x+1, (u^2-1)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -33253297/
16777216], [3, 3]]]], [[10, 9, 8, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), x =
-u^2+1, y = u^2-1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [3/4, 3/4], [-3/4, -3/4], [-1, -1]]]], [[10, 9, 8, 4, 2], [v = 2
^(1/2), And(-1 < u,u < 0), x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-3/4, -3/4], [0, 0
]]]], [[10, 9, 8, 4, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y = u^2-\
1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3
/4, 3/4], [-3/4, -3/4], [1, 1]]]], [[10, 11, 1, 9, 1], [v = 2^(1/2), And(0 < u
,u < 1), x < u^2-3, -u^2-x+1 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-4, -4], [6, 6], [0, 0]]]], [[10, 15, 6, 3, 1],
[v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < 0), z <
-(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-\
15929779/33554432, -15929779/33554432], [-2, -2]]]], [[10, 15, 6, 3, 2], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < 0), z = -(-u^
2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-15929779/
33554432, -15929779/33554432], [-8796093022095/8796093022208, -\
72057594037002239/72057594037927936]]]], [[10, 15, 6, 3, 3], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < 0), And(-(-u^2-y+3)^(1/2)
< z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [-\
15929779/33554432, -15929779/33554432], [-68718551039/144115188075855872, -\
68718551039/144115188075855872]]]], [[10, 15, 6, 3, 4], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < 0), z = (-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [-15929779/33554432, -15929779/
33554432], [1048575/1048576, 1]]]], [[10, 15, 6, 3, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = u^2-3, And(-2*u^2+4 < y,y < 0), (-u^2-y+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [-15929779/33554432, -15929779/
33554432], [2, 2]]]], [[10, 17, 1, 8, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2)
, x < -u^2+1, y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [4699771/1048576, 
1174943/262144], [0, 0]]]], [[10, 19, 4, 1, 1], [v = 2^(1/2), 2 < u, x = -1, y
< -u^2+2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3, 3], [-1, -1], [-8, -8], [-4, -4]]]], [[10, 19, 4, 1, 2], [v = 2^(1/2), 2
< u, x = -1, y < -u^2+2, z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1, -1], [-8, -8], [-3, -3]]]], [[10, 19, 4, 1, 3],
[v = 2^(1/2), 2 < u, x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-8, -\
8], [0, 0]]]], [[10, 19, 4, 1, 4], [v = 2^(1/2), 2 < u, x = -1, y < -u^2+2, z
= (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1
, -1], [-8, -8], [3, 3]]]], [[10, 19, 4, 1, 5], [v = 2^(1/2), 2 < u, x = -1, y
< -u^2+2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-1, -1], [-8, -8], [4, 4]]]], [[11, 1, 6, 4, 1], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [-5, -5], [0, 0],
[0, 0], [-1, -1]]]], [[11, 1, 6, 4, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
0, y = 0, z = 0], [regular_chain, [[3, 3], [-5, -5], [0, 0], [0, 0], [0, 0]]]]
, [[11, 1, 6, 4, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [0, 0], [1, 1]]]], [[11, 5, 7, 2, 1]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-325091/262144
, -1300363/1048576], [-3, -3]]]], [[11, 5, 7, 2, 2], [2^(1/2) < v, And(-(v^2+1
)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-325091/262144, -1300363/1048576], [-\
1281417/1048576, -160177/131072]]]], [[11, 5, 7, 2, 3], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-
v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-325091/262144
, -1300363/1048576], [0, 0]]]], [[11, 5, 7, 2, 4], [2^(1/2) < v, And(-(v^2+1)^
(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [-325091/262144, -1300363/1048576], [160177/131072
, 1281417/1048576]]]], [[11, 5, 7, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u
,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [-325091/262144, -1300363/1048576], [3, 3]]]], [[11, 7, 4,
3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y
< 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-133001/524288, -133001/524288], [-3, -3]]]], [[11, 7, 4,
3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y
< 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-133001/524288, -133001/524288], [-293517/262144, -\
1174067/1048576]]]], [[11, 7, 4, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
133001/524288, -133001/524288], [0, 0]]]], [[11, 7, 4, 3, 4], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2
)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
-133001/524288, -133001/524288], [1174067/1048576, 293517/262144]]]], [[11, 7,
4, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 <
y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [-133001/524288, -133001/524288], [3, 3]]]], [[11,
13, 2, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-
v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [0, 0], [-3, -3]]
]], [[11, 13, 2, 2, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2))
, x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [0, 0], [
-3321417/2097152, -415177/262144]]]], [[11, 13, 2, 2, 3], [2^(1/2) < v, And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1
/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-5260377/2097152, -657547/262144], [0, 0], [0, 0]]]], [[11,
13, 2, 2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-
v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-5260377/2097152, -657547/262144], [0, 0], [415177/
262144, 1660709/1048576]]]], [[11, 13, 2, 2, 5], [2^(1/2) < v, And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -\
657547/262144], [0, 0], [3, 3]]]], [[11, 14, 5, 6, 1], [2^(1/2) < v, u = (v^2-\
1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 14, 5,
6, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [1/2,
1/2], [0, 0]]]], [[11, 14, 5, 6, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 <
x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 19, 1, 8, 1], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1,
z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-4, -4],
[1178087/262144, 4712349/1048576], [0, 0]]]], [[11, 20, 4, 4, 1], [2^(1/2) < v
, u = (v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [3477733
/1048576, 1738867/524288], [-1, -1], [0, 0], [-2, -2]]]], [[11, 20, 4, 4, 2],
[2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-1, -1], [0, 0], [-1, -1]]]], [[11, 20
, 4, 4, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)]
, [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [0, 0]
, [0, 0]]]], [[11, 20, 4, 4, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y =
0, z = 1], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1
], [0, 0], [1, 1]]]], [[11, 20, 4, 4, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x =
-1, y = 0, 1 < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[-1, -1], [0, 0], [2, 2]]]], [[1, 5, 7, 8, 1], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [
66399/262144, 265597/1048576], [-1, -1]]]], [[1, 5, 7, 8, 2], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [66399/262144, 265597/1048576], [0, 0]]]], [[1, 5, 7, 8, 3]
, [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y =
-x, 0 < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [1, 1]]]],
[[1, 7, 4, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(0
< y,y < -u^2+v^2), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [-2, -2]
]]], [[1, 7, 4, 5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, 
And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288],
[-1811727/2097152, -3623453/4194304]]]], [[1, 7, 4, 5, 3], [v < -2^(1/2), And(
v < u,u < -(v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [133001/524288, 133001/524288], [-1/8388608, -1/8388608]]]
], [[1, 7, 4, 5, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And
(0 < y,y < -u^2+v^2), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [905863/
1048576, 113233/131072]]]], [[1, 7, 4, 5, 5], [v < -2^(1/2), And(v < u,u < -(v
^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
133001/524288, 133001/524288], [2, 2]]]], [[1, 11, 5, 7, 1], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < -
u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [9/2, 9
/2], [0, 0]]]], [[1, 12, 7, 8, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x
,x < 1), y = 1-x, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[1, 19, 2, 5, 1], [v < -2^(1/2), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y
< 2*u^2-2*v^2), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-2615197/1048576, -653799/262144], [5748437/2097152, 5748437/
2097152], [0, 0]]]], [[1, 20, 4, 6, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x =
-1, y = 1, z < 0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [-1, -1], [1, 1], [-1, -1]]]], [[1, 20, 4, 6, 2], [v < -2^(1/2), u = (v^2+2
)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-1, -1], [1, 1], [0, 0]]]], [[1, 20, 4, 6, 3], [v < -2^(1/2)
, u = (v^2+2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [1, 1]]]], [[2, 3, 4, 1, 1
], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y < -u^2+2, z < -(1-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [-3, -3], [-3, -3]]]], [[2, 3, 4, 1, 2], [v = -2^(
1/2), And(-2 < u,u < -3^(1/2)), x = -1, y < -u^2+2, z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [-3, -3], [-2, -2]]]], [[2, 3, 4, 1, 3], [v = -2^(
1/2), And(-2 < u,u < -3^(1/2)), x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-1, -1], [-3, -3], [0, 0]]]], [[2, 3, 4, 1, 4], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y < -u^2+2, z = (1-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [-3, -3], [2, 2]]]], [[2, 3, 4, 1, 5], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -1, y < -u^2+2, (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1, -1], [-3, -3], [3, 3]]]], [[2, 4, 7, 5, 1], [v = -2^(1/
2), u = -3^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1/
2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2, 7, 5, 1, 1], [v = -2^(1/2), And(v < u,u
< -1), And(-1 < x,x < -u^2+1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [
-1527887/2097152, -1527887/2097152], [-2, -2], [-3, -3]]]], [[2, 7, 5, 1, 2],
[v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y < u^2-x-3, z = -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [-\
1732073/1048576, -3464145/2097152]]]], [[2, 7, 5, 1, 3], [v = -2^(1/2), And(v
< u,u < -1), And(-1 < x,x < -u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [-\
1/4194304, -1/4194304]]]], [[2, 7, 5, 1, 4], [v = -2^(1/2), And(v < u,u < -1),
And(-1 < x,x < -u^2+1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-2, -2], [216509/131072, 1732073/1048576]
]]], [[2, 7, 5, 1, 5], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1
), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-2, -2], [3, 3]]]], [[2, 8, 8, 7, 1], [v = -2^(1/2), u = -1, x = 1,
0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[1, 1], [1, 1], [0, 0]]]], [[2, 13, 1, 4, 1], [v = -2^(1/2), And(1 < u,u < -v)
, x < u^2-3, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [
763943/524288, 1527887/1048576], [-3, -3]]]], [[2, 13, 1, 4, 2], [v = -2^(1/2)
, And(1 < u,u < -v), x < u^2-3, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [763943/524288, 1527887/1048576], [-1302471/1048576, -\
651235/524288]]]], [[2, 13, 1, 4, 3], [v = -2^(1/2), And(1 < u,u < -v), x < u^
2-3, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3
, -3], [763943/524288, 1527887/1048576], [0, 0]]]], [[2, 13, 1, 4, 4], [v = -2
^(1/2), And(1 < u,u < -v), x < u^2-3, y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [763943/524288, 1527887/1048576], [651235/524288, 1302471/
1048576]]]], [[2, 13, 1, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y
= u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3, -3], [763943/524288, 1527887
/1048576], [3, 3]]]], [[2, 14, 4, 2, 1], [v = -2^(1/2), u = -v, x = 0, y = -1,
z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288,
1482911/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[2, 14, 4, 2, 2], [v = -2^(1
/2), u = -v, x = 0, y = -1, z = -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-1, -1], [-1, -1]]]
], [[2, 14, 4, 2, 3], [v = -2^(1/2), u = -v, x = 0, y = -1, And(-1 < z,z < 1)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911
/1048576], [0, 0], [-1, -1], [0, 0]]]], [[2, 14, 4, 2, 4], [v = -2^(1/2), u =
-v, x = 0, y = -1, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288]
, [741455/524288, 1482911/1048576], [0, 0], [-1, -1], [1, 1]]]], [[2, 14, 4, 2
, 5], [v = -2^(1/2), u = -v, x = 0, y = -1, 1 < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-1, -1],
[2, 2]]]], [[3, 1, 5, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [-4216793/
524288, -8433585/1048576], [-4, -4]]]], [[3, 1, 5, 2, 2], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1/2, -1/2], [-4216793/524288, -8433585/1048576], [-1532401/524288, -24518415/
8388608]]]], [[3, 1, 5, 2, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1/2, -1/2], [-4216793/524288, -8433585/1048576], [-7/16777216, -7/16777216]]]]
, [[3, 1, 5, 2, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,
x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [-4216793/524288, -8433585
/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 1, 5, 2, 5], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576], [4, 4]]]], [[3, 2, 7,
3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x
-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-2, -2],
[-3, -3]]]], [[3, 2, 7, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2),
And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/
2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[3, 2, 7, 3, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2],
[-2, -2], [0, 0]]]], [[3, 2, 7, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [
[3, 2, 7, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x <
1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2],
[-2, -2], [3, 3]]]], [[3, 7, 3, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
149551/1048576, -149551/1048576], [-3, -3]]]], [[3, 7, 3, 3, 2], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2
-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [-149551/1048576, -149551/1048576], [-1252981/1048576, -\
313245/262144]]]], [[3, 7, 3, 3, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [-149551/1048576, -149551/1048576], [0, 0]]]], [[3, 7, 3, 3,
4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [-149551/1048576, -149551/1048576], [
313245/262144, 1252981/1048576]]]], [[3, 7, 3, 3, 5], [And(-2^(1/2) < v,v < -1
), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 <
y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-149551/1048576, -149551/1048576], [3, 3]]]], [[3, 8, 6, 3, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [0, 0], [-1, -1], [-2, -2]]]], [[3, 8, 6, 3, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [0, 0], [-1, -1], [-1, -1]]]], [[3, 8, 6, 3, 3], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(
-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -1], [0, 0]]]], [[3
, 8, 6, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, And(-2 <
y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -1], [1, 1]]]], [[3
, 8, 6, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, And(-2 <
y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [0, 0], [-1, -1], [2, 2]]]], [[4
, 1, 4, 7, 1], [v = -1, u < -3^(1/2), x = -1, And(1 < y,y < u^2-1), z = z], [
regular_chain, [[-1, -1], [-3, -3], [-1, -1], [9/2, 9/2], [0, 0]]]], [[4, 2, 6
, 6, 1], [v = -1, u = -3^(1/2), x = 0, y = 1, z = z], [regular_chain, [[-1, -1
], [-1816187/1048576, -3632373/2097152], [0, 0], [1, 1], [0, 0]]]], [[4, 7, 2,
4, 1], [v = -1, And(-1 < u,u < 0), x = u^2-2, y = -2*u^2+2, z < u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [3/2, 3/2], [-2, -2]]]],
[[4, 7, 2, 4, 2], [v = -1, And(-1 < u,u < 0), x = u^2-2, y = -2*u^2+2, z = u],
[regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [3/2, 3/2], [-1/2, -1/2
]]]], [[4, 7, 2, 4, 3], [v = -1, And(-1 < u,u < 0), x = u^2-2, y = -2*u^2+2, 
And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [3/
2, 3/2], [0, 0]]]], [[4, 7, 2, 4, 4], [v = -1, And(-1 < u,u < 0), x = u^2-2, y
= -2*u^2+2, z = -u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [3
/2, 3/2], [1/2, 1/2]]]], [[4, 7, 2, 4, 5], [v = -1, And(-1 < u,u < 0), x = u^2
-2, y = -2*u^2+2, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/
4], [3/2, 3/2], [2, 2]]]], [[4, 8, 5, 4, 1], [v = -1, u = 0, And(-1 < x,x < 0)
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [0
, 0], [-2, -2]]]], [[4, 8, 5, 4, 2], [v = -1, u = 0, And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[4, 8, 5, 4, 3], [v = -1, u = 0, And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1,
-1], [0, 0], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 8, 5, 4, 4], [v = -1, u = 0
, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0]
, [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[4, 8, 5, 4, 5], [v
= -1, u = 0, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1,
-1], [0, 0], [-1/2, -1/2], [0, 0], [2, 2]]]], [[4, 14, 8, 4, 1], [v = -1, u =
3^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[4, 14, 8, 4, 2], [v = -1, u
= 3^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [1, 1], [-1, -1], [0, 0]]]], [[4, 14, 8, 4, 3], [v = -1, u =
3^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [1, 1], [-1, -1], [1, 1]]]], [[5, 1, 1, 5, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [49/8, 49/8
], [-4, -4]]]], [[5, 1, 1, 5, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3, -3], [-11, -11], [49/8, 49/8], [-1157597/524288, -2315193/
1048576]]]], [[5, 1, 1, 5, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^
2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [49/8, 49/8], [0, 0]]]
], [[5, 1, 1, 5, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, 
And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-3, -3], [-11, -11], [49/8, 49/8], [2315193/1048576, 1157597/524288]]]], [[
5, 1, 1, 5, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u
^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [-11, -11], [49/8, 49/8], [4, 4]]]], [[5, 5, 2, 5, 1], [And(-1 < v,v < 0)
, And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v
^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [290131/262144
, 290131/262144], [-2, -2]]]], [[5, 5, 2, 5, 2], [And(-1 < v,v < 0), And(-(v^2
+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z =
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-736367/524288, -1472733/1048576], [290131/262144, 290131/
262144], [-1144335/2097152, -572167/1048576]]]], [[5, 5, 2, 5, 3], [And(-1 < v
,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y
< u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [290131/262144, 290131/262144], [0, 0]]]], [[5, 5,
2, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, 
And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733
/1048576], [290131/262144, 290131/262144], [572167/1048576, 71521/131072]]]],
[[5, 5, 2, 5, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+
v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [290131/262144, 290131/262144], [2, 2]]]], [[5, 6,
5, 7, 1], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1], [0, 0]]]], [[5
, 9, 5, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995
/2097152], [106039/1048576, 106039/1048576], [-2, -2]]]], [[5, 9, 5, 5, 2], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), 
And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [
106039/1048576, 106039/1048576], [-3500723/4194304, -1750361/2097152]]]], [[5,
9, 5, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x <
u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [-1/
4194304, -1/4194304]]]], [[5, 9, 5, 5, 4], [And(-1 < v,v < 0), And(-v < u,u <
(v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = (-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-1672995/2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [
218795/262144, 875181/1048576]]]], [[5, 9, 5, 5, 5], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631
/2097152], [-1672995/2097152, -1672995/2097152], [106039/1048576, 106039/
1048576], [2, 2]]]], [[5, 10, 9, 4, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
1 < x, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543
/131072], [2, 2], [-2, -2], [-1, -1]]]], [[5, 10, 9, 4, 2], [And(-1 < v,v < 0)
, u = (v^2+1)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [2, 2], [-2, -2], [0, 0]]]], [[5, 10, 9, 4, 3
], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [-2, -\
2], [1, 1]]]], [[6, 1, 8, 6, 1], [v = 0, u < -2^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[0, 0], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[6, 3, 1, 7, 1],
[v = 0, And(-2^(1/2) < u,u < -1), x < -u^2-1, And(-x < y,y < u^2-x-1), z = z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-4, -4], [
4433959/1048576, 4433959/1048576], [0, 0]]]], [[6, 9, 5, 6, 1], [v = 0, And(1
< u,u < 2^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[0, 0],
[1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[6
, 9, 5, 6, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = -x, z =
0], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2],
[1/2, 1/2], [0, 0]]]], [[6, 9, 5, 6, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-\
1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[6, 10, 7, 7, 1], [v =
0, u = 2^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain,
[[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]],
[[7, 3, 6, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = 0, u^2-v^2-1 < y, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [0, 0], [2, 2], [0, 0]]]], [[7, 5, 1, 8, 1], [And(0 < v,v < 1
), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3, -3], [3
, 3], [-1, -1]]]], [[7, 5, 1, 8, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u
,u < -v), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-3, -3], [3, 3], [0, 0]]]], [[7, 5, 1, 8,
3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -x,
0 < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-3
, -3], [3, 3], [1, 1]]]], [[8, 1, 9, 7, 1], [v = 1, u < -3^(1/2), And(1 < x,x
< u^2-2), And(0 < y,y < u^2-x-2), z = z], [regular_chain, [[1, 1], [-3, -3], [
4, 4], [3/2, 3/2], [0, 0]]]], [[8, 3, 3, 5, 1], [v = 1, And(-3^(1/2) < u,u < -
2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [1821767/2097152, 1821767/2097152], [-2, -2]]]], [
[8, 3, 3, 5, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [1821767/
2097152, 1821767/2097152], [-7818463/8388608, -3909231/4194304]]]], [[8, 3, 3,
5, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [
1821767/2097152, 1821767/2097152], [-3/8388608, -3/8388608]]]], [[8, 3, 3, 5,
4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195
/4194304], [-1821767/1048576, -1821767/1048576], [1821767/2097152, 1821767/
2097152], [977307/1048576, 244327/262144]]]], [[8, 3, 3, 5, 5], [v = 1, And(-3
^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [1821767/2097152, 1821767/2097152], [2, 2]
]]], [[8, 7, 7, 8, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y = -x,
z < 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [1/8, 1/8], [-1,
-1]]]], [[8, 7, 7, 8, 2], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y =
-x, z = 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [1/8, 1/8], [
0, 0]]]], [[8, 7, 7, 8, 3], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x < 0), y
= -x, 0 < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [1/8, 1/8],
[1, 1]]]], [[8, 9, 3, 4, 1], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8],
[0, 0], [-3, -3]]]], [[8, 9, 3, 4, 2], [v = 1, And(0 < u,u < 1), And(u^2-2 < x
,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8
, -11/8], [0, 0], [-1229565/1048576, -307391/262144]]]], [[8, 9, 3, 4, 3], [v
= 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (
-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [0, 0], [0,
0]]]], [[8, 9, 3, 4, 4], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y =
0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [0, 0
], [307391/262144, 1229565/1048576]]]], [[8, 9, 3, 4, 5], [v = 1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1],
[1/2, 1/2], [-11/8, -11/8], [0, 0], [3, 3]]]], [[8, 15, 4, 6, 1], [v = 1, 3^(1
/2) < u, x = -1, y = 1, z < 0], [regular_chain, [[1, 1], [3, 3], [-1, -1], [1,
1], [-1, -1]]]], [[8, 15, 4, 6, 2], [v = 1, 3^(1/2) < u, x = -1, y = 1, z = 0]
, [regular_chain, [[1, 1], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[8, 15, 4, 6,
3], [v = 1, 3^(1/2) < u, x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [3, 3
], [-1, -1], [1, 1], [1, 1]]]], [[9, 1, 7, 2, 1], [And(1 < v,v < 2^(1/2)), u <
-(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [-\
4741081/524288, -9482161/1048576], [-4, -4]]]], [[9, 1, 7, 2, 2], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[1/2, 1/2], [-4741081/524288, -9482161/1048576], [-1532401/524288, -24518415/
8388608]]]], [[9, 1, 7, 2, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2,
1/2], [-4741081/524288, -9482161/1048576], [-7/16777216, -7/16777216]]]], [[9,
1, 7, 2, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [1/2, 1/2], [-4741081/524288, -9482161/1048576], [
3064801/1048576, 1532401/524288]]]], [[9, 1, 7, 2, 5], [And(1 < v,v < 2^(1/2))
, u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2],
[-4741081/524288, -9482161/1048576], [4, 4]]]], [[9, 5, 7, 9, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), -x < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-558339/2097152, -558339/2097152], [2, 2], [0, 0]]]], [[
9, 7, 5, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-\
1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-2, -2], [-3, -3]]]], [[9, 7, 5, 1, 2], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^
2-1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [-2, -2], [-3455375/2097152, -1727687/1048576]]]], [[9, 7, 5
, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x
< -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2, -2], [0, 0]]]], [
[9, 7, 5, 1, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(
-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-2, -2], [1727687/1048576, 215961/131072]
]]], [[9, 7, 5, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2, -2], [3, 3]]]], [
[9, 9, 9, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-3340407/1048576, -1670203/524288], [-3, -3]]]], [[9, 9, 9,
2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-3340407/1048576, -1670203/524288], [-410915/262144, -\
3287319/2097152]]]], [[9, 9, 9, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(
1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, And(-
(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-\
3340407/1048576, -1670203/524288], [-1/4194304, -1/4194304]]]], [[9, 9, 9, 2,
4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u
^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152
], [-3340407/1048576, -1670203/524288], [1643659/1048576, 410915/262144]]]], [
[9, 9, 9, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152,
1527887/2097152], [-3340407/1048576, -1670203/524288], [3, 3]]]], [[9, 11, 4,
5, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(0 <
y,y < -u^2+v^2), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/524288, 149551/
524288], [-2, -2]]]], [[9, 11, 4, 5, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), x = -1, And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [149551/524288, 149551/524288], [-886499/1048576, -3545995
/4194304]]]], [[9, 11, 4, 5, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), x = -1, And(0 < y,y < -u^2+v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-1, -1], [149551/524288, 149551/524288], [-3/8388608, -3/
8388608]]]], [[9, 11, 4, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), x = -1, And(0 < y,y < -u^2+v^2), z = (1-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1],
[149551/524288, 149551/524288], [443249/524288, 886499/1048576]]]], [[9, 11, 4
, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(0
< y,y < -u^2+v^2), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1], [149551/524288,
149551/524288], [2, 2]]]], [[9, 15, 9, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-5, -5], [-4
, -4]]]], [[9, 15, 9, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [775271/1048576, 775271/1048576], [-5, -5], [-2164401/1048576,
-135275/65536]]]], [[9, 15, 9, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
5, -5], [0, 0]]]], [[9, 15, 9, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [775271/1048576, 775271/1048576], [-5, -5], [135275/
65536, 2164401/1048576]]]], [[9, 15, 9, 1, 5], [And(1 < v,v < 2^(1/2)), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1
, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-5, -5], [4,
4]]]], [[9, 17, 2, 4, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2
+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-4478937/524288, -8957873/1048576], [8957873/1048576, 
4478937/524288], [-1, -1]]]], [[9, 17, 2, 4, 2], [And(1 < v,v < 2^(1/2)), (v^2
+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576]
, [8957873/1048576, 4478937/524288], [0, 0]]]], [[9, 17, 2, 4, 3], [And(1 < v,
v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/524288,
-8957873/1048576], [8957873/1048576, 4478937/524288], [1, 1]]]], [[10, 5, 9, 3
, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2-x+1 <
y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-25165827/
16777216, -25165827/16777216], [-3, -3]]]], [[10, 5, 9, 3, 2], [v = 2^(1/2), 
And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [-25165827/16777216, -25165827/
16777216], [-1048577/1048576, -1]]]], [[10, 5, 9, 3, 3], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-25165827/
16777216, -25165827/16777216], [0, 0]]]], [[10, 5, 9, 3, 4], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), z = (-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [-25165827/16777216, -25165827/
16777216], [1, 1048577/1048576]]]], [[10, 5, 9, 3, 5], [v = 2^(1/2), And(-3^(1
/2) < u,u < -v), And(0 < x,x < 1), And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [3, 3]
]]], [[10, 7, 6, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, y = 2*u^
2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [-\
1138531/1048576, -569265/524288], [-3, -3]]]], [[10, 7, 6, 2, 2], [v = 2^(1/2)
, And(-v < u,u < -1), x = -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -569265/524288
], [-1302471/1048576, -651235/524288]]]], [[10, 7, 6, 2, 3], [v = 2^(1/2), And
(-v < u,u < -1), x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -\
569265/524288], [0, 0]]]], [[10, 7, 6, 2, 4], [v = 2^(1/2), And(-v < u,u < -1)
, x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [-1138531/1048576, -569265/524288], [651235/524288,
1302471/1048576]]]], [[10, 7, 6, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), x =
-u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [-1138531/1048576, -569265/524288], [3, 3]]]], [[10, 11, 7, 2,
1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = u^2-x-3, z < -(
-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[3/8, 3/8], [-25/8, -25/8], [-3, -3]]]], [[10, 11, 7, 2, 2], [v = 2^(1/2), And
(0 < u,u < 1), And(0 < x,x < -u^2+1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-25
/8, -25/8], [-1738867/1048576, -3477733/2097152]]]], [[10, 11, 7, 2, 3], [v =
2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = u^2-x-3, And(-(-u^2+3)^(
1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/8, 3/8], [-25/8, -25/8], [-1/4194304, -1/4194304]]]],
[[10, 11, 7, 2, 4], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y =
u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1/2, 1/2], [3/8, 3/8], [-25/8, -25/8], [869433/524288, 1738867/1048576]]]]
, [[10, 11, 7, 2, 5], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y
= u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/8, 3/8], [-25/8, -25/8], [3, 3]]]], [[10, 13, 2, 5, 1
], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z
< -(-u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [
689093/524288, 689093/524288], [-2, -2]]]], [[10, 13, 2, 5, 2], [v = 2^(1/2),
And(1 < u,u < v), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-3235683/2097152, -1617841/1048576], [689093/524288, 689093
/524288], [-31331/65536, -501295/1048576]]]], [[10, 13, 2, 5, 3], [v = 2^(1/2)
, And(1 < u,u < v), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And(-(-u^2-y+3)^(
1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [689093/524288, 689093/524288], [0, 0]]]], [[10, 13, 2, 5, 4], [v =
2^(1/2), And(1 < u,u < v), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = (-u^2-
y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [689093/
524288, 689093/524288], [501295/1048576, 31331/65536]]]], [[10, 13, 2, 5, 5],
[v = 2^(1/2), And(1 < u,u < v), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), (-u^2
-y+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [689093/
524288, 689093/524288], [2, 2]]]], [[11, 3, 6, 6, 1], [2^(1/2) < v, And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = z], [regular_chain
, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [129511/262144, 
518045/1048576], [0, 0]]]], [[11, 5, 2, 2, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2
) < u,u < -v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576],
[0, 0], [-3, -3]]]], [[11, 5, 2, 2, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [0, 0]
, [-1281417/1048576, -160177/131072]]]], [[11, 5, 2, 2, 3], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-195745/131072, -1565959/1048576], [0, 0], [0, 0]]]], [[11, 5, 2, 2,
4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z = (
u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-195745/131072, -1565959/1048576], [0, 0], [160177/131072, 1281417/1048576]]]
], [[11, 5, 2, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v
^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-195745/131072, -1565959/1048576], [0, 0], [3, 3]]]], [[11,
9, 6, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0,
And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [0, 0], [-5260375/4194304, -5260375/
4194304], [-3, -3]]]], [[11, 9, 6, 3, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
5260375/4194304, -5260375/4194304], [-587149/524288, -1174297/1048576]]]], [[
11, 9, 6, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
5260375/4194304, -5260375/4194304], [0, 0]]]], [[11, 9, 6, 3, 4], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0),
z = (-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [0, 0], [-5260375/4194304, -5260375/4194304], [1174297/1048576, 
587149/524288]]]], [[11, 9, 6, 3, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [-\
5260375/4194304, -5260375/4194304], [3, 3]]]], [[11, 10, 9, 1, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-6, -6], [-3, -3]]]], [[
11, 10, 9, 1, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y < -x-3, z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2,
2], [-6, -6], [-2, -2]]]], [[11, 10, 9, 1, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2
), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-6, -6], [0, 0]]]], [[
11, 10, 9, 1, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, y < -x-3, z = (-x-y
)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2
], [-6, -6], [2, 2]]]], [[11, 10, 9, 1, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2),
1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152
, -2774271/1048576], [2, 2], [-6, -6], [3, 3]]]], [[11, 17, 1, 5, 1], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^
2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-3, -3], [2, 2], [-2, -2]]]], [[11, 17, 1, 5, 2], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-
v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-3, -3], [2, 2], [-1, -1]]]], [[11, 17, 1, 5, 3], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-3, -3], [2, 2], [0, 0]]]], [[11, 17, 1, 5, 4], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y
< u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-3, -3], [2, 2], [1, 1]]]], [[11, 17, 1, 5, 5], [2^(1/2) < v,
And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2
-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-3, -3], [2, 2], [2, 2]]]], [[11, 18, 4, 7, 1], [2^(1/2) < v, u = (v
^2+1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-1, -1], [2, 2], [0, 0]]]], [[1, 1, 11, 9, 1], [v < -2^(1/2
), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[-3, -3]
, [-5, -5], [16, 16], [1, 1], [0, 0]]]], [[1, 3, 5, 5, 1], [v < -2^(1/2), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1, 3, 5, 5, 2], [v < -2^(1/
2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[1, 3, 5, 5, 3],
[v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0),
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [0,
0]]]], [[1, 3, 5, 5, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [1/4, 1/4], [1/
2, 1/2]]]], [[1, 3, 5, 5, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2],
[1/4, 1/4], [2, 2]]]], [[1, 7, 9, 8, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 9, 5, 2, 1],
[v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0),
y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-526475/262144, -2105899/
1048576], [-3, -3]]]], [[1, 9, 5, 2, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2
, -1/2], [-526475/262144, -2105899/1048576], [-3321417/2097152, -415177/262144
]]]], [[1, 9, 5, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/
2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2
+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [-526475/262144, -2105899/1048576], [0, 0]]]], [[1, 9,
5, 2, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 <
x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-526475/262144, -\
2105899/1048576], [415177/262144, 1660709/1048576]]]], [[1, 9, 5, 2, 5], [v <
-2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = u
^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [-526475/262144, -2105899/1048576],
[3, 3]]]], [[1, 15, 3, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [-133001/1048576, -133001/1048576], [-3, -3]]]], [[1, 15, 3,
3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1)
, And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-133001/
1048576, -133001/1048576], [-616015/524288, -1232029/1048576]]]], [[1, 15, 3,
3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1)
, And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [-133001/1048576, -133001/1048576], [0, 0]]]], [[1, 15, 3, 3,
4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), 
And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-133001/
1048576, -133001/1048576], [1232029/1048576, 616015/524288]]]], [[1, 15, 3, 3,
5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), 
And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-133001/
1048576, -133001/1048576], [3, 3]]]], [[1, 16, 7, 2, 1], [v < -2^(1/2), u = -v
, 1 < x, y = -1-x, z < -1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-3, -3
], [-2, -2]]]], [[1, 16, 7, 2, 2], [v < -2^(1/2), u = -v, 1 < x, y = -1-x, z =
-1], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-3, -3], [-1, -1]]]], [[1, 16
, 7, 2, 3], [v < -2^(1/2), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [3, 3], [2, 2], [-3, -3], [0, 0]]]], [[1, 16, 7, 2,
4], [v < -2^(1/2), u = -v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-3, -3],
[3, 3], [2, 2], [-3, -3], [1, 1]]]], [[1, 16, 7, 2, 5], [v < -2^(1/2), u = -v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-3, -3],
[2, 2]]]], [[1, 20, 9, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 1 < x, 0 < y,
z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [2, 2],
[1, 1], [0, 0]]]], [[2, 1, 3, 5, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x <
-1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3, -3], [-9/2, -9/2], [9/4, 9/4], [-3, -3]]]], [[2, 1, 3,
5, 2], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-9/2, -9/2], [9/4, 9/4], [-3/2, -3/2]]]], [[2, 1, 3, 5, 3], [v = -2^(1/2), u
< -2, And(-u^2+1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-\
9/2, -9/2], [9/4, 9/4], [0, 0]]]], [[2, 1, 3, 5, 4], [v = -2^(1/2), u < -2, 
And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [9/4, 9/4], [3/2,
3/2]]]], [[2, 1, 3, 5, 5], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), And(
0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [-9/2, -9/2], [9/4, 9/4], [3, 3]]]], [[2, 10, 9, 7, 1], [v
= -2^(1/2), u = 0, 1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [2, 2], [-1/2, -1/2], [0, 0]]]], [[2
, 12, 3, 7, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), -x < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [3,
3], [0, 0]]]], [[2, 16, 9, 2, 1], [v = -2^(1/2), u = 3^(1/2), 1 < x, y = -x-2,
z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [2, 2], [-4, -4], [-3, -3]]]], [[2, 16, 9, 2, 2], [v
= -2^(1/2), u = 3^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-\
4, -4], [-1482911/1048576, -741455/524288]]]], [[2, 16, 9, 2, 3], [v = -2^(1/2
), u = 3^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [2, 2], [-4, -4], [0, 0]]]], [[2, 16, 9, 2, 4], [v = -2^(1/2), u = 3
^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-4, -4], [741455/
524288, 1482911/1048576]]]], [[2, 16, 9, 2, 5], [v = -2^(1/2), u = 3^(1/2), 1
< x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [2, 2], [-4, -4], [3, 3]]]], [[2, 
18, 2, 7, 1], [v = -2^(1/2), u = 2, x = -3, 4 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [5, 5], [0, 0]]]], [[3, 4,
9, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, y = 0, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [0, 0], [0, 0]]]], [[3, 6, 4, 1, 1], [And(-2^(1/2) <
v,v < -1), u = v, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-2,
-2], [-3, -3]]]], [[3, 6, 4, 1, 2], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y
< -1, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [-1482911/1048576, -\
741455/524288]]]], [[3, 6, 4, 1, 3], [And(-2^(1/2) < v,v < -1), u = v, x = 0,
y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-2,
-2], [0, 0]]]], [[3, 6, 4, 1, 4], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y <
-1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [741455/524288, 1482911/
1048576]]]], [[3, 6, 4, 1, 5], [And(-2^(1/2) < v,v < -1), u = v, x = 0, y < -1
, (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-2, -2], [3, 3]]]], [[3, 10, 9, 3
, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[3, 10, 9, 3,
2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[3, 10, 9, 3,
3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-3, -3], [0, 0]]]
], [[3, 10, 9, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And
(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-3, -3], [1, 1]]]]
, [[3, 10, 9, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, And(
-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-3, -3], [2, 2]]]]
, [[3, 12, 3, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), And
(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/4, 1/4]
, [-2, -2]]]], [[3, 12, 3, 5, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 <
x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2],
[1/4, 1/4], [-1/2, -1/2]]]], [[3, 12, 3, 5, 3], [And(-2^(1/2) < v,v < -1), u =
-v, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576,
1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 12, 3, 5, 4], [And
(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[3, 12, 3
, 5, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), And(0 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3,
15, 1, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [4, 4], [-1, -1]]]
], [[3, 15, 1, 6, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [4, 4],
[0, 0]]]], [[3, 15, 1, 6, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[4, 4], [1, 1]]]], [[3, 16, 4, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-2, -2], [-3, -3
]]]], [[3, 16, 4, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1,
y = -2, z = -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 16, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[-2, -2], [-1/4194304, -1/4194304]]]], [[3, 16, 4, 2, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1],
[-2, -2], [908093/524288, 1816187/1048576]]]], [[3, 16, 4, 2, 5], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1,
-1], [-2, -2], [3, 3]]]], [[4, 3, 3, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(
1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-\
1546383/2097152, -773191/1048576], [-3, -3]]]], [[4, 3, 3, 2, 2], [v = -1, And
(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-1546383/2097152, -773191/1048576], [-1649549/
1048576, -3299097/2097152]]]], [[4, 3, 3, 2, 3], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-1546383/2097152, -773191/1048576], [-1/4194304,
-1/4194304]]]], [[4, 3, 3, 2, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And
(-u^2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-1546383/
2097152, -773191/1048576], [412387/262144, 1649549/1048576]]]], [[4, 3, 3, 2,
5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x,
-u < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [-1546383/2097152, -773191/1048576], [3, 3
]]]], [[4, 4, 7, 1, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1), y < -x-2, z <
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288],
[1/2, 1/2], [-4, -4], [-3, -3]]]], [[4, 4, 7, 1, 2], [v = -1, u = -2^(1/2), 
And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [-7846825/4194304, -\
980853/524288]]]], [[4, 4, 7, 1, 3], [v = -1, u = -2^(1/2), And(0 < x,x < 1),
y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [0, 0]]]], [[4, 4, 7
, 1, 4], [v = -1, u = -2^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-4
, -4], [980853/524288, 1961707/1048576]]]], [[4, 4, 7, 1, 5], [v = -1, u = -2^
(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1
], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-4, -4], [3, 3]]]], [[4, 
11, 3, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), And(0 < y
,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/2097152, 
718965/2097152], [-2, -2]]]], [[4, 11, 3, 5, 2], [v = -1, And(1 < u,u < 2^(1/2
)), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [-15789523/
16777216, -7894761/8388608]]]], [[4, 11, 3, 5, 3], [v = -1, And(1 < u,u < 2^(1
/2)), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-1288231/1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [-1/
16777216, -1/16777216]]]], [[4, 11, 3, 5, 4], [v = -1, And(1 < u,u < 2^(1/2)),
And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [986845/1048576,
493423/524288]]]], [[4, 11, 3, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^
2 < x,x < -1), And(0 < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1
, -1], [1265743/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576
], [718965/2097152, 718965/2097152], [2, 2]]]], [[4, 12, 7, 4, 1], [v = -1, u
= 2^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[4, 
12, 7, 4, 2], [v = -1, u = 2^(1/2), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[4, 12, 7, 4, 3], [v = -1, u = 2^(1/2), And(0 < x,x < 1), y
= -x, 0 < z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/
2, 1/2], [-1/2, -1/2], [1, 1]]]], [[5, 1, 6, 6, 1], [And(-1 < v,v < 0), u < -(
v^2+2)^(1/2), x = 0, y = u^2-v^2-1, z = z], [regular_chain, [[-1/2, -1/2], [-3
, -3], [0, 0], [31/4, 31/4], [0, 0]]]], [[5, 2, 9, 4, 1], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-3/
2, -3/2], [2, 2], [-2, -2], [-1, -1]]]], [[5, 2, 9, 4, 2], [And(-1 < v,v < 0),
u = -(v^2+2)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-3/
2, -3/2], [2, 2], [-2, -2], [0, 0]]]], [[5, 2, 9, 4, 3], [And(-1 < v,v < 0), u
= -(v^2+2)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-3/2,
-3/2], [2, 2], [-2, -2], [1, 1]]]], [[5, 12, 9, 9, 1], [And(-1 < v,v < 0), u =
(v^2+2)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2]
, [2, 2], [1, 1], [0, 0]]]], [[6, 1, 3, 5, 1], [v = 0, u < -2^(1/2), And(-u^2-\
1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [-11/2, -11/2], [11/4, 11/4], [-3, -3]]]], [[6, 1, 3, 5, 2], [v = 0,
u < -2^(1/2), And(-u^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [11/4, 11/4], [-1738867/
1048576, -3477733/2097152]]]], [[6, 1, 3, 5, 3], [v = 0, u < -2^(1/2), And(-u^
2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [11/4, 11/4], [-1/4194304,
-1/4194304]]]], [[6, 1, 3, 5, 4], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1)
, And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-\
11/2, -11/2], [11/4, 11/4], [869433/524288, 1738867/1048576]]]], [[6, 1, 3, 5,
5], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [11/4, 11/4], [3,
3]]]], [[6, 5, 4, 3, 1], [v = 0, And(-1 < u,u < 0), x = -1, And(-u^2 < y,y < 0
), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-1/8,
-1/8], [-3, -3]]]], [[6, 5, 4, 3, 2], [v = 0, And(-1 < u,u < 0), x = -1, And(-
u^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1,
-1], [-1/8, -1/8], [-1112183/1048576, -556091/524288]]]], [[6, 5, 4, 3, 3], [v
= 0, And(-1 < u,u < 0), x = -1, And(-u^2 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-1/8, -1/8],
[0, 0]]]], [[6, 5, 4, 3, 4], [v = 0, And(-1 < u,u < 0), x = -1, And(-u^2 < y,y
< 0), z = (1-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-1/8
, -1/8], [556091/524288, 1112183/1048576]]]], [[6, 5, 4, 3, 5], [v = 0, And(-1
< u,u < 0), x = -1, And(-u^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[0
, 0], [-1/2, -1/2], [-1, -1], [-1/8, -1/8], [3, 3]]]], [[6, 7, 1, 4, 1], [v =
0, And(0 < u,u < 1), x < -u^2-1, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [7/4, 7/4], [-3, -3]]]], [[6, 7,
1, 4, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = -u^2-x-1, z = -(u^2+1)^(1/
2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [7/4, 7/4], [-146543/
131072, -1172343/1048576]]]], [[6, 7, 1, 4, 3], [v = 0, And(0 < u,u < 1), x <
-u^2-1, y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [7/4, 7/4], [0, 0]]]], [[6, 7, 1
, 4, 4], [v = 0, And(0 < u,u < 1), x < -u^2-1, y = -u^2-x-1, z = (u^2+1)^(1/2)
], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [7/4, 7/4], [1172343/1048576
, 146543/131072]]]], [[6, 7, 1, 4, 5], [v = 0, And(0 < u,u < 1), x < -u^2-1, y
= -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3],
[7/4, 7/4], [3, 3]]]], [[7, 1, 8, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2)
, x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3,
-3], [1, 1], [-12, -12], [-5, -5]]]], [[7, 1, 8, 1, 2], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-3, -3], [1, 1], [-12, -12], [-1738867/524288, -3477733/1048576]]]]
, [[7, 1, 8, 1, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2
-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3
, -3], [1, 1], [-12, -12], [0, 0]]]], [[7, 1, 8, 1, 4], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[1/
2, 1/2], [-3, -3], [1, 1], [-12, -12], [3477733/1048576, 1738867/524288]]]], [
[7, 1, 8, 1, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2,
(-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-12, -12],
[5, 5]]]], [[7, 3, 1, 6, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-4, -4], [4, 4], [-1, -1]]]], [[7, 3, 1, 6, 2
], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2
-1, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-4, -4], [4, 4], [0, 0]]]], [[7, 3, 1, 6, 3], [And(0 < v,v < 1), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [4, 4]
, [1, 1]]]], [[7, 7, 5, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 <
x,x < -u^2+v^2-1), -x < y, z = z], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8,
-7/8], [2, 2], [0, 0]]]], [[7, 9, 3, 3, 1], [And(0 < v,v < 1), And(v < u,u < (
v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(
-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152],
[-2521309/2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [-3,
-3]]]], [[7, 9, 3, 3, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [-1197115/
1048576, -598557/524288]]]], [[7, 9, 3, 3, 3], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/
1048576, -106039/1048576], [0, 0]]]], [[7, 9, 3, 3, 4], [And(0 < v,v < 1), And
(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/1048576, -\
106039/1048576], [598557/524288, 1197115/1048576]]]], [[7, 9, 3, 3, 5], [And(0
< v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2
+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/
1048576, -106039/1048576], [3, 3]]]], [[7, 11, 7, 5, 1], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-x < y
,y < 0), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[243021/1048576, 243021/1048576], [-243021/2097152, -243021/2097152], [0, 0]]]
], [[7, 12, 9, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), 1 < x, y = 1-x, z
= z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [2, 2], [-1, -1], [0, 0]]]], [[
8, 3, 8, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y = 0, z =
z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [248903/
524288, 497807/1048576], [0, 0], [0, 0]]]], [[8, 5, 3, 7, 1], [v = 1, And(-2^(
1/2) < u,u < -1), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [2007197/2097152, 2007197/2097152], [-2, -\
2]]]], [[8, 5, 3, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1
), And(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [
2007197/2097152, 2007197/2097152], [-273157/524288, -1092627/2097152]]]], [[8,
5, 3, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(u^2-x
-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576]
, [2007197/2097152, 2007197/2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 3,
7, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(u^2-x-2 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [2007197/2097152, 
2007197/2097152], [546313/1048576, 273157/524288]]]], [[8, 5, 3, 7, 5], [v = 1
, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [2007197/2097152, 2007197/2097152], [2,
2]]]], [[8, 11, 9, 4, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y
= u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/1048576], [-2, -2]]]],
[[8, 11, 9, 4, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = u^2-x
-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-546777/524288, -1093553/1048576], [-772605/1048576, -\
1545209/2097152]]]], [[8, 11, 9, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(0
< x,x < 1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
546777/524288, -1093553/1048576], [-1/4194304, -1/4194304]]]], [[8, 11, 9, 4,
4], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = u^2-x-2, z = (-u^2+2
)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1
/2], [-546777/524288, -1093553/1048576], [193151/262144, 772605/1048576]]]], [
[8, 11, 9, 4, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = u^2-x-\
2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-546777/524288, -1093553/1048576], [2, 2]]]], [[8, 13,
4, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-u^2+1 < y,y < 0),
z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152]
, [-1, -1], [-1546381/2097152, -1546381/2097152], [-3, -3]]]], [[8, 13, 4, 3,
2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z = -
(1-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1
, -1], [-1546381/2097152, -1546381/2097152], [-691061/524288, -1382121/1048576
]]]], [[8, 13, 4, 3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-u^
2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1
], [3299097/2097152, 3299097/2097152], [-1, -1], [-1546381/2097152, -1546381/
2097152], [0, 0]]]], [[8, 13, 4, 3, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-1, -1], [-1546381/2097152, -1546381/
2097152], [1382121/1048576, 691061/524288]]]], [[8, 13, 4, 3, 5], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x = -1, And(-u^2+1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-\
1546381/2097152, -1546381/2097152], [3, 3]]]], [[9, 2, 1, 3, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[9, 2, 1, 3, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/
524288]]]], [[9, 2, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x <
-3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1/2, 1/2], [0, 0]]]], [[9, 2, 1, 3, 4], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]],
[[9, 2, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(0 <
y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1/2, 1/2], [3, 3]]]
], [[9, 3, 5, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
/2, -1/2], [0, 0], [-2, -2]]]], [[9, 3, 5, 4, 2], [And(1 < v,v < 2^(1/2)), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608
, -14373233/8388608], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576
]]]], [[9, 3, 5, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 3, 5, 4, 4], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0),
y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [0, 0], [741455/1048576,
46341/65536]]]], [[9, 3, 5, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [0, 0], [2, 2]]]], [[9, 13, 8, 6, 1], [And(1
< v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[9, 13, 8, 6, 2], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0],
[0, 0], [0, 0]]]], [[9, 13, 8, 6, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [0, 0], [1, 1]]]
], [[9, 15, 3, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [2074829/1048576, 2074829/
1048576], [0, 0]]]], [[10, 1, 11, 7, 1], [v = 2^(1/2), u < -2, u^2-3 < x, And(
u^2-x-3 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [7, 7], [-1/2, -1/2], [0, 0]]]], [[10, 3, 4, 8, 1], [v = 2^(1/2), 
And(-2 < u,u < -3^(1/2)), x = -1, y = u^2-2, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [
1554043/1048576, 388511/262144], [0, 0]]]], [[10, 9, 8, 7, 1], [v = 2^(1/2), 
And(-1 < u,u < 0), x = -u^2+1, 0 < y, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [1, 1], [0, 0]]]], [[10, 11, 1, 8,
1], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = -u^2-x+1, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [19/4,
19/4], [0, 0]]]], [[10, 15, 6, 4, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
= u^2-3, y = 0, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/
524288], [0, 0], [-2, -2]]]], [[10, 15, 6, 4, 2], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x = u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1101541/
2097152, -275385/524288], [0, 0], [-1519901/2097152, -379975/524288]]]], [[10,
15, 6, 4, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = 0, And(-(-u
^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/
524288], [0, 0], [0, 0]]]], [[10, 15, 6, 4, 4], [v = 2^(1/2), And(v < u,u < 3^
(1/2)), x = u^2-3, y = 0, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1101541/2097152, -\
275385/524288], [0, 0], [379975/524288, 759951/1048576]]]], [[10, 15, 6, 4, 5]
, [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, y = 0, (-u^2+3)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [0, 0], [2, 2]]]], [[10, 17, 1,
5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(-u^2-x+1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152
], [-3, -3]]]], [[10, 17, 1, 5, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x <
-u^2+1, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [
5785989/2097152, 5785989/2097152], [-4563/4096, -1168127/1048576]]]], [[10, 17
, 1, 5, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(-u^2-x+1 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [
5785989/2097152, 5785989/2097152], [0, 0]]]], [[10, 17, 1, 5, 4], [v = 2^(1/2)
, And(3^(1/2) < u,u < 2), x < -u^2+1, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [1168127/
1048576, 4563/4096]]]], [[10, 17, 1, 5, 5], [v = 2^(1/2), And(3^(1/2) < u,u <
2), x < -u^2+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4]
, [5785989/2097152, 5785989/2097152], [3, 3]]]], [[10, 19, 4, 2, 1], [v = 2^(1
/2), 2 < u, x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1, -1], [-7, -7], [-4, -4]]]], [[10, 19, 4
, 2, 2], [v = 2^(1/2), 2 < u, x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-7, -7],
[-2965821/1048576, -11863283/4194304]]]], [[10, 19, 4, 2, 3], [v = 2^(1/2), 2
< u, x = -1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-7, -7],
[-3/8388608, -3/8388608]]]], [[10, 19, 4, 2, 4], [v = 2^(1/2), 2 < u, x = -1,
y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [-7, -7], [741455/262144, 2965821/1048576]]]], [[
10, 19, 4, 2, 5], [v = 2^(1/2), 2 < u, x = -1, y = -u^2+2, (u^2-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-7, -7],
[4, 4]]]], [[11, 1, 6, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, y < -u^
2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0], [-18, -\
18], [-6, -6]]]], [[11, 1, 6, 1, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0,
y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0], [
-18, -18], [-1112183/262144, -4448731/1048576]]]], [[11, 1, 6, 1, 3], [2^(1/2)
< v, u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(
1/2))], [regular_chain, [[3, 3], [-5, -5], [0, 0], [-18, -18], [0, 0]]]], [[11
, 1, 6, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, z = (-
y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0], [-18, -18], [4448731/
1048576, 1112183/262144]]]], [[11, 1, 6, 1, 5], [2^(1/2) < v, u < -(v^2+2)^(1/
2), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5],
[0, 0], [-18, -18], [6, 6]]]], [[11, 5, 7, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288], [-2, -2]]]
], [[11, 5, 7, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^
2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/
4194304], [-66399/524288, -66399/524288], [-1292667/2097152, -646333/1048576]]
]], [[11, 5, 7, 5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v
^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [-66399/524288, -66399/524288], [0, 0]]]], [[11, 5
, 7, 5, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x
< 0), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-\
66399/524288, -66399/524288], [646333/1048576, 323167/524288]]]], [[11, 5, 7,
5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0),
And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/
524288, -66399/524288], [2, 2]]]], [[11, 7, 4, 2, 1], [2^(1/2) < v, And(-v < u
,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [-3, -3]]]], [[11, 7, 4, 2, 2], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [-1287385/1048576, -160923/131072]]]], [[11,
7, 4, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2
, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3
], [-6111549/2097152, -6111549/2097152], [-1, -1], [-1064009/2097152, -133001/
262144], [0, 0]]]], [[11, 7, 4, 2, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-1, -1], [-1064009/2097152, -133001/
262144], [160923/131072, 1287385/1048576]]]], [[11, 7, 4, 2, 5], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [3, 3]]]], [[11, 13, 2, 3, 1], [2^(1/2) < v,
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^
2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-5260377/2097152, -657547/262144], [657547/524288, 657547/
524288], [-3, -3]]]], [[11, 13, 2, 3, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y
+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
5260377/2097152, -657547/262144], [657547/524288, 657547/524288], [-1174299/
1048576, -587149/524288]]]], [[11, 13, 2, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/
2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^
2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [657547/
524288, 657547/524288], [0, 0]]]], [[11, 13, 2, 3, 4], [2^(1/2) < v, And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z =
(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-5260377/2097152, -657547/262144], [657547/524288, 657547/524288], [
587149/524288, 1174299/1048576]]]], [[11, 13, 2, 3, 5], [2^(1/2) < v, And((v^2
-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-
u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-5260377/2097152, -657547/262144], [657547/524288, 657547/524288], [
3, 3]]]], [[11, 14, 5, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x <
0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[11, 14, 5
, 3, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [
[11, 14, 5, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-\
2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[
11, 14, 5, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576, 146543/131072]
]]], [[11, 14, 5, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), 
And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[11, 19, 2,
2, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1,
y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-3, -3]]]], [[
11, 19, 2, 2, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-\
1655969/1048576, -3311937/2097152]]]], [[11, 19, 2, 2, 3], [2^(1/2) < v, And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-1/4194304, -1/
4194304]]]], [[11, 19, 2, 2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [0
, 0], [51749/32768, 1655969/1048576]]]], [[11, 19, 2, 2, 5], [2^(1/2) < v, And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197
/1048576, -653799/262144], [0, 0], [3, 3]]]], [[11, 20, 4, 3, 1], [2^(1/2) < v
, u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [-1, -1],
[-3, -3]]]], [[11, 20, 4, 3, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(
-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[
11, 20, 4, 3, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1, -1], [-1, -1], [0, 0]]]], [[11, 20, 4, 3, 4], [
2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [-1, -1],
[741455/524288, 1482911/1048576]]]], [[11, 20, 4, 3, 5], [2^(1/2) < v, u = (v^
2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-1, -1], [-1, -1], [3, 3]]]], [[1, 5,
7, 7, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851
/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288,
66399/524288], [-2, -2]]]], [[1, 5, 7, 7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2
) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304
, -1062385/4194304], [66399/524288, 66399/524288], [-373161/1048576, -46645/
131072]]]], [[1, 5, 7, 7, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [66399/524288, 66399/524288], [0, 0]]]], [
[1, 5, 7, 7, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 <
x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [66399/
524288, 66399/524288], [46645/131072, 373161/1048576]]]], [[1, 5, 7, 7, 5], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(0 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288, 66399/
524288], [2, 2]]]], [[1, 7, 4, 8, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = -1, y = 1, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [1, 1], [-1, -1]]]], [[1, 7, 4, 8, 2], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [1, 1], [0, 0]]]], [[1,
7, 4, 8, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = 1, 0 <
z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1],
[1, 1], [1, 1]]]], [[1, 11, 5, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[-3, -3], [0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 11, 5, 4, 2], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[1, 11, 5, 4, 3], [v < -2^(1/2), And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [0, 0],
[0, 0]]]], [[1, 11, 5, 4, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3]
, [0, 0], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[1, 11, 5,
4, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x
< 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2],
[0, 0], [2, 2]]]], [[1, 12, 7, 9, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0
< x,x < 1), 1-x < y, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [1/2, 1/2], [2, 2], [0, 0]]]], [[1, 19, 2, 4, 1], [v < -2^(1/2),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0
], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-2615197/
1048576, -653799/262144], [653799/262144, 2615197/1048576], [-1, -1]]]], [[1,
19, 2, 4, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^
2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-2615197/1048576, -653799/262144], [653799/262144, 2615197/
1048576], [0, 0]]]], [[1, 19, 2, 4, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-3,
-3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [
653799/262144, 2615197/1048576], [1, 1]]]], [[1, 20, 4, 9, 1], [v < -2^(1/2),
u = (v^2+2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1, -1], [3, 3], [0, 0]]]], [[2, 3, 3, 7, 1], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(-x < y,y < u^2
-x-3), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [2078331/
1048576, 2078331/1048576], [0, 0]]]], [[2, 4, 7, 6, 1], [v = -2^(1/2), u = -3^
(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [0, 0], [0,
0]]]], [[2, 7, 4, 9, 1], [v = -2^(1/2), And(v < u,u < -1), x = -1, 1 < y, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [2, 2], [0, 0]]]], [[2, 8, 9, 3, 1], [v = -2^(1/2)
, u = -1, 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-3, -3], [-2, -2]]]], [[2
, 8, 9, 3, 2], [v = -2^(1/2), u = -1, 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2]
, [-3, -3], [-1, -1]]]], [[2, 8, 9, 3, 3], [v = -2^(1/2), u = -1, 1 < x, And(-
x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-3, -3], [0, 0]]]], [[2,
8, 9, 3, 4], [v = -2^(1/2), u = -1, 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [
-3, -3], [1, 1]]]], [[2, 8, 9, 3, 5], [v = -2^(1/2), u = -1, 1 < x, And(-x-2 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [2, 2], [-3, -3], [2, 2]]]], [[2, 13, 1, 1, 1], [v = -2^(1/
2), And(1 < u,u < -v), x < u^2-3, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -\
3], [-1, -1], [-3, -3]]]], [[2, 13, 1, 1, 2], [v = -2^(1/2), And(1 < u,u < -v)
, x < u^2-3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-2, -\
2]]]], [[2, 13, 1, 1, 3], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y < 0,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0
]]]], [[2, 13, 1, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y < 0, z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743
/1048576, 1265743/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[2, 13, 1, 1, 5],
[v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [3, 3]]]], [[2, 14, 4, 3, 1], [v = -2^(1/2), u =
-v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/
2], [-2, -2]]]], [[2, 14, 4, 3, 2], [v = -2^(1/2), u = -v, x = 0, And(-1 < y,y
< 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [-1482911/2097152, -\
741455/1048576]]]], [[2, 14, 4, 3, 3], [v = -2^(1/2), u = -v, x = 0, And(-1 <
y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/
2], [0, 0]]]], [[2, 14, 4, 3, 4], [v = -2^(1/2), u = -v, x = 0, And(-1 < y,y <
0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/
65536]]]], [[2, 14, 4, 3, 5], [v = -2^(1/2), u = -v, x = 0, And(-1 < y,y < 0),
(-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [2, 2]]]], [[3, 1, 5, 1, 1], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-
x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3, -3], [-1/2, -1/2], [-10, -10], [-5, -5]]]], [[3, 1, 5, 1, 2], [And(-2^(
1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3
], [-1/2, -1/2], [-10, -10], [-3397775/1048576, -1698887/524288]]]], [[3, 1, 5
, 1, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y <
-u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [-10, -10], [0, 0]
]]], [[3, 1, 5, 1, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [-10, -10], [1698887/
524288, 3397775/1048576]]]], [[3, 1, 5, 1, 5], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[-10, -10], [5, 5]]]], [[3, 2, 7, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+
2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [0, 0], [
0, 0]]]], [[3, 7, 2, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^
(1/2)), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [3, 3], [0, 0]]]], [[3, 8, 6, 4, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [0, 0]
, [0, 0], [-1, -1]]]], [[3, 8, 6, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-\
1)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [0, 0], [0, 0], [0, 0]]]], [[3,
8, 6, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 0, y = 0, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [0, 0], [0, 0], [1, 1]]]], [[4, 1, 4, 4, 1], [v = -1, u < -3^
(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [-3, -3], [-1, -1],
[0, 0], [-2, -2]]]], [[4, 1, 4, 4, 2], [v = -1, u < -3^(1/2), x = -1, y = 0, z
= -1], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [0, 0], [-1, -1]]]], [[4
, 1, 4, 4, 3], [v = -1, u < -3^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1, -1], [-3, -3], [-1, -1], [0, 0], [0, 0]]]], [[4, 1, 4, 4,
4], [v = -1, u < -3^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [
-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[4, 1, 4, 4, 5], [v = -1, u < -3^(1/2),
x = -1, y = 0, 1 < z], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [0, 0],
[2, 2]]]], [[4, 2, 6, 7, 1], [v = -1, u = -3^(1/2), x = 0, 1 < y, z = z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [2, 2]
, [0, 0]]]], [[4, 7, 2, 3, 1], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(0 <
y,y < -2*u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/
2], [-7/4, -7/4], [3/4, 3/4], [-2, -2]]]], [[4, 7, 2, 3, 2], [v = -1, And(-1 <
u,u < 0), x = u^2-2, And(0 < y,y < -2*u^2+2), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [3/4, 3/4], [-1, -1]]]],
[[4, 7, 2, 3, 3], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(0 < y,y < -2*u^2+
2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-7/4, -7/4], [3/4, 3/4], [0, 0]]]], [[4, 7, 2, 3, 4], [v = -\
1, And(-1 < u,u < 0), x = u^2-2, And(0 < y,y < -2*u^2+2), z = (-u^2-y+2)^(1/2)
], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [3/4, 3/4], [1, 1]]]
], [[4, 7, 2, 3, 5], [v = -1, And(-1 < u,u < 0), x = u^2-2, And(0 < y,y < -2*u
^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4,
-7/4], [3/4, 3/4], [2, 2]]]], [[4, 8, 5, 7, 1], [v = -1, u = 0, And(-1 < x,x <
0), -x < y, z = z], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [2, 2], [
0, 0]]]], [[4, 14, 8, 1, 1], [v = -1, u = 3^(1/2), x = 1, y < -4, z < -(-y-1)^
(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [
-5, -5], [-3, -3]]]], [[4, 14, 8, 1, 2], [v = -1, u = 3^(1/2), x = 1, y < -4,
z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [1, 1], [-5, -5], [-2, -2]]]], [[4, 14, 8, 1, 3], [v = -1, u = 3^(1/2), x =
1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1]
, [908093/524288, 1816187/1048576], [1, 1], [-5, -5], [0, 0]]]], [[4, 14, 8, 1
, 4], [v = -1, u = 3^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [-5, -5], [2, 2]]]], [[4,
14, 8, 1, 5], [v = -1, u = 3^(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [-5, -5],
[3, 3]]]], [[5, 1, 1, 6, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+
v^2-1, y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [
11, 11], [-1, -1]]]], [[5, 1, 1, 6, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2)
, x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [-\
11, -11], [11, 11], [0, 0]]]], [[5, 1, 1, 6, 3], [And(-1 < v,v < 0), u < -(v^2
+2)^(1/2), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [-11, -11], [11, 11], [1, 1]]]], [[5, 5, 2, 4, 1], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152
], [-736367/524288, -1472733/1048576], [424157/524288, 848315/1048576], [-2, -\
2]]]], [[5, 5, 2, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x
= -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/
1048576], [424157/524288, 848315/1048576], [-1618333/2097152, -3236665/4194304
]]]], [[5, 5, 2, 4, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x =
-u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
736367/524288, -1472733/1048576], [424157/524288, 848315/1048576], [-1/8388608
, -1/8388608]]]], [[5, 5, 2, 4, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u
,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/524288, 848315/1048576], [404583/524288, 
809167/1048576]]]], [[5, 5, 2, 4, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/524288, 848315/1048576], [2, 2]]]], [[5, 6,
6, 3, 1], [And(-1 < v,v < 0), u = v, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-3/2, -3/2], [-2,
-2]]]], [[5, 6, 6, 3, 2], [And(-1 < v,v < 0), u = v, x = 1, And(-2 < y,y < -1)
, z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-3
/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[5, 6, 6, 3, 3], [And(-1 <
v,v < 0), u = v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(
1/2))], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-3/2, -3/2], [0,
0]]]], [[5, 6, 6, 3, 4], [And(-1 < v,v < 0), u = v, x = 1, And(-2 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-3/2,
-3/2], [741455/1048576, 46341/65536]]]], [[5, 6, 6, 3, 5], [And(-1 < v,v < 0),
u = v, x = 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-1/2, -1/2], [1, 1], [-3/2, -3/2], [2, 2]]]], [[5, 9, 5, 2, 1], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2
+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-159059/
262144, -1272471/2097152], [-3, -3]]]], [[5, 9, 5, 2, 2], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [-159059/262144, -\
1272471/2097152], [-19417/16384, -1242687/1048576]]]], [[5, 9, 5, 2, 3], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -
u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-159059/262144, -1272471/2097152], [0, 0]]]], [[5
, 9, 5, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-159059/262144, -1272471/2097152], [1242687/1048576, 19417/16384]]]
], [[5, 9, 5, 2, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995
/2097152], [-159059/262144, -1272471/2097152], [3, 3]]]], [[5, 10, 9, 5, 1], [
And(-1 < v,v < 0), u = (v^2+1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [2, 2], [-1, -\
1], [0, 0]]]], [[6, 1, 8, 5, 1], [v = 0, u < -2^(1/2), x = 1, And(-1 < y,y < 0
), z = z], [regular_chain, [[0, 0], [-3, -3], [1, 1], [-1/2, -1/2], [0, 0]]]],
[[6, 3, 2, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y < 0, z < -(u
^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576],
[-2576463/1048576, -1288231/524288], [-1, -1], [-3, -3]]]], [[6, 3, 2, 1, 2],
[v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y < 0, z = -(u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [-1, -1], [-3899297/2097152, -7798593/4194304]]]],
[[6, 3, 2, 1, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y < 0, And(-(u
^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-2576463/1048576, -1288231/524288], [-1, -1], [-1
/8388608, -1/8388608]]]], [[6, 3, 2, 1, 4], [v = 0, And(-2^(1/2) < u,u < -1),
x = -u^2-1, y < 0, z = (u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-2576463/1048576, -1288231/524288], [-1, -1], [
121853/65536, 1949649/1048576]]]], [[6, 3, 2, 1, 5], [v = 0, And(-2^(1/2) < u,
u < -1), x = -u^2-1, y < 0, (u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-2576463/1048576, -1288231/524288], [-1,
-1], [3, 3]]]], [[6, 9, 5, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x
< 0), And(-u^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-32834795/33554432, -\
32834795/33554432], [-3, -3]]]], [[6, 9, 5, 3, 2], [v = 0, And(1 < u,u < 2^(1/
2)), And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-\
32834795/33554432, -32834795/33554432], [-1275025/1048576, -79689/65536]]]], [
[6, 9, 5, 3, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(-u^2-x
-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-32834795/33554432, -\
32834795/33554432], [0, 0]]]], [[6, 9, 5, 3, 4], [v = 0, And(1 < u,u < 2^(1/2)
), And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-\
32834795/33554432, -32834795/33554432], [79689/65536, 1275025/1048576]]]], [[6
, 9, 5, 3, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), And(-u^2-x-1
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [-32834795/33554432, -32834795/33554432], [3,
3]]]], [[6, 10, 7, 8, 1], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y = 1-x, z =
z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [1/
2, 1/2], [0, 0]]]], [[7, 3, 6, 6, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = z], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [0, 0], [243021/524288, 486043/1048576],
[0, 0]]]], [[7, 5, 2, 2, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [0,
0], [-3, -3]]]], [[7, 5, 2, 2, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576]
, [0, 0], [-19417/16384, -1242687/1048576]]]], [[7, 5, 2, 2, 3], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [0, 0], [0, 0]
]]], [[7, 5, 2, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x =
-u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [0, 0]
, [1242687/1048576, 19417/16384]]]], [[7, 5, 2, 2, 5], [And(0 < v,v < 1), And(
-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [0, 0], [3, 3]]]], [[8, 1, 10, 1, 1], [v = 1, u < -
3^(1/2), x = u^2-2, y < -2*u^2+2, z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1,
1], [-3, -3], [7, 7], [-17, -17], [-5, -5]]]], [[8, 1, 10, 1, 2], [v = 1, u <
-3^(1/2), x = u^2-2, y < -2*u^2+2, z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1
, 1], [-3, -3], [7, 7], [-17, -17], [-3315889/1048576, -207243/65536]]]], [[8,
1, 10, 1, 3], [v = 1, u < -3^(1/2), x = u^2-2, y < -2*u^2+2, And(-(-u^2-y+2)^(
1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-\
17, -17], [0, 0]]]], [[8, 1, 10, 1, 4], [v = 1, u < -3^(1/2), x = u^2-2, y < -\
2*u^2+2, z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [7, 7], [-\
17, -17], [207243/65536, 3315889/1048576]]]], [[8, 1, 10, 1, 5], [v = 1, u < -
3^(1/2), x = u^2-2, y < -2*u^2+2, (-u^2-y+2)^(1/2) < z], [regular_chain, [[1,
1], [-3, -3], [7, 7], [-17, -17], [5, 5]]]], [[8, 3, 3, 4, 1], [v = 1, And(-3^
(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [0, 0], [-3, -3]]]], [[8, 3, 3, 4, 2], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [0, 0], [-691061/524288, -1382121/1048576]]]], [[8
, 3, 3, 4, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [0, 0], [0,
0]]]], [[8, 3, 3, 4, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,
x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [0, 0], [1382121/
1048576, 691061/524288]]]], [[8, 3, 3, 4, 5], [v = 1, And(-3^(1/2) < u,u < -2^
(1/2)), And(-u^2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [0
, 0], [3, 3]]]], [[8, 7, 7, 9, 1], [v = 1, And(-1 < u,u < 0), And(-u^2 < x,x <
0), -x < y, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1/8, -1/8], [2, 2
], [0, 0]]]], [[8, 9, 3, 1, 1], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1
), y < u^2-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/
8, -11/8], [-2, -2], [-3, -3]]]], [[8, 9, 3, 1, 2], [v = 1, And(0 < u,u < 1),
And(u^2-2 < x,x < -1), y < u^2-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1
], [1/2, 1/2], [-11/8, -11/8], [-2, -2], [-7705429/4194304, -1926357/1048576]]
]], [[8, 9, 3, 1, 3], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y < u^2
-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1/2,
1/2], [-11/8, -11/8], [-2, -2], [0, 0]]]], [[8, 9, 3, 1, 4], [v = 1, And(0 < u
,u < 1), And(u^2-2 < x,x < -1), y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain
, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [-2, -2], [1926357/1048576, 963179/
524288]]]], [[8, 9, 3, 1, 5], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1),
y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -\
11/8], [-2, -2], [3, 3]]]], [[8, 15, 4, 9, 1], [v = 1, 3^(1/2) < u, x = -1, u^
2-1 < y, z = z], [regular_chain, [[1, 1], [3, 3], [-1, -1], [9, 9], [0, 0]]]],
[[9, 1, 7, 1, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1
), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [1/2, 1/2], [-11, -11], [-5, -5]]]], [[9, 1, 7, 1,
2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^
2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3, -3], [1/2, 1/2], [-11, -11], [-3397775/1048576, -1698887/524288]]]], [[
9, 1, 7, 1, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x < 1),
y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [-11, -11], [0, 0]]]]
, [[9, 1, 7, 1, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(0 < x,x <
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [1/2, 1/2], [-11, -11], [1698887/524288, 3397775/
1048576]]]], [[9, 1, 7, 1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [1/2, 1/2], [-11, -11], [5, 5]]]]
, [[9, 5, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x
= 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-3, -3], [-3,
-3]]]], [[9, 5, 8, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-3,
-3], [-1816187/1048576, -3632373/2097152]]]], [[9, 5, 8, 1, 3], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/
2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[9, 5, 8, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-3,
-3], [908093/524288, 1816187/1048576]]]], [[9, 5, 8, 1, 5], [And(1 < v,v < 2^(
1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-3, -3], [3, 3]]]], [[9, 7, 4, 7, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), z
< -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [823391/1048576, 823391/1048576]
, [-2, -2]]]], [[9, 7, 4, 7, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2
-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1, -1], [823391/1048576, 823391/1048576], [-242963/524288, -485925/1048576]]]
], [[9, 7, 4, 7, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = -1, And(-u^2+v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [823391/1048576, 823391/1048576], [0, 0]]]], [[9,
7, 4, 7, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1,
And(-u^2+v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [823391/
1048576, 823391/1048576], [485925/1048576, 242963/524288]]]], [[9, 7, 4, 7, 5]
, [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^
2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [823391/1048576, 
823391/1048576], [2, 2]]]], [[9, 9, 9, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-x < y,y <
-u^2+v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [1527887/2097152, 1527887/2097152], [-2097153/4194304, -2097153/4194304]
, [0, 0]]]], [[9, 11, 4, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), x = -1, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[9
, 11, 4, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1,
y = 0, z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[9, 11, 4, 4, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = 0, And(-1 <
z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-1, -1], [0, 0], [0, 0]]]], [[9, 11, 4, 4, 4], [And
(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = 0, z = 1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [0, 0], [1, 1]]]], [[9, 11, 4, 4, 5], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), x = -1, y = 0, 1 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1],
[0, 0], [2, 2]]]], [[9, 15, 9, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327
/524288, 898327/524288], [775271/1048576, 775271/1048576], [-3374389/1048576,
-843597/262144], [-3, -3]]]], [[9, 15, 9, 2, 2], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
3374389/1048576, -843597/262144], [-3301741/2097152, -825435/524288]]]], [[9,
15, 9, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-3374389/
1048576, -843597/262144], [0, 0]]]], [[9, 15, 9, 2, 4], [And(1 < v,v < 2^(1/2)
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^
2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
3374389/1048576, -843597/262144], [825435/524288, 1650871/1048576]]]], [[9, 15
, 9, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [-3374389/1048576, -843597/262144],
[3, 3]]]], [[9, 17, 2, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
-u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [-1, -\
1], [-5, -5]]]], [[9, 17, 2, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u
, x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [-1, -\
1], [-3239217/1048576, -202451/65536]]]], [[9, 17, 2, 1, 3], [And(1 < v,v < 2^
(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z
,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [-4478937/524288, -8957873/1048576], [-1, -1], [0, 0]]]], [[9, 17,
2, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z
= (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [-4478937/524288, -8957873/1048576], [-1, -1], [202451/65536, 3239217/
1048576]]]], [[9, 17, 2, 1, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [-1, -\
1], [5, 5]]]], [[10, 5, 9, 6, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(
0 < x,x < 1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]]
, [[10, 5, 9, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1),
y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[10, 5, 9, 6
, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = -x, 0 < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 7, 6, 1, 1], [v =
2^(1/2), And(-v < u,u < -1), x = -u^2+1, y < 2*u^2-4, z < -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-479311/1048576, -239655/524288], [-3, -3], [-3, -3]]]], [[10, 7, 6
, 1, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1, y < 2*u^2-4, z = -(u^2-
y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [-3, -3], [-\
3899297/2097152, -7798593/4194304]]]], [[10, 7, 6, 1, 3], [v = 2^(1/2), And(-v
< u,u < -1), x = -u^2+1, y < 2*u^2-4, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [-479311/1048576, -239655/524288], [-3, -3], [-1/8388608, -\
1/8388608]]]], [[10, 7, 6, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), x = -u^2+1
, y < 2*u^2-4, z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/
524288], [-3, -3], [121853/65536, 1949649/1048576]]]], [[10, 7, 6, 1, 5], [v =
2^(1/2), And(-v < u,u < -1), x = -u^2+1, y < 2*u^2-4, (u^2-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-479311/1048576, -239655/524288], [-3, -3], [3, 3]]]], [[10, 11, 7,
3, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [-3, -3]]]], [[10, 11, 7, 3, 2], [v =
2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[3/8, 3/8], [-7/4, -7/4], [-1229565/1048576, -307391/262144]]]], [[10, 11, 7,
3, 3], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(u^2-x-3 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [0, 0]]]], [[
10, 11, 7, 3, 4], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), And(u
^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [307391/262144, 
1229565/1048576]]]], [[10, 11, 7, 3, 5], [v = 2^(1/2), And(0 < u,u < 1), And(0
< x,x < -u^2+1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-7/4, -7/4], [3, 3]
]]], [[10, 13, 2, 2, 1], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y = 0, z <
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0], [-3,
-3]]]], [[10, 13, 2, 2, 2], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y = 0,
z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0
], [-1302471/1048576, -651235/524288]]]], [[10, 13, 2, 2, 3], [v = 2^(1/2), 
And(1 < u,u < v), x = u^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0], [0, 0]]]], [[
10, 13, 2, 2, 4], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y = 0, z = (-u^2+
3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576
, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0], [651235/
524288, 1302471/1048576]]]], [[10, 13, 2, 2, 5], [v = 2^(1/2), And(1 < u,u < v
), x = u^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [0, 0], [3, 3]]]], [[11, 3, 6, 7, 1], [2^(1/2) < v, And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, u^2-v^2-1 < y, z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [2, 2],
[0, 0]]]], [[11, 5, 1, 8, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
< -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-3, -3], [3, 3], [-1, -1]]]], [[11, 5, 1, 8, 2], [2^(1/2) < v
, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -x, z = 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [3, 3], [0
, 0]]]], [[11, 5, 1, 8, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-3, -3], [3, 3], [1, 1]]]], [[11, 9, 6, 6, 1], [2^(1/2) < v, And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = -u^2+v^2-1, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [0, 0], [
533035/1048576, 133259/262144], [0, 0]]]], [[11, 10, 8, 7, 1], [2^(1/2) < v, u
= -(v^2-2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [1, 1], [1, 1], [0, 0]]]], [[11, 17, 1, 6, 1], [2^
(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-3, -3], [2614535/1048576, 326817/131072], [-2, -2]]]], [[11, 17, 1, 6, 2], [
2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072
], [-3, -3], [2614535/1048576, 326817/131072], [-373161/524288, -1492643/
2097152]]]], [[11, 17, 1, 6, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
< -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1
/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [
2614535/1048576, 326817/131072], [-1/4194304, -1/4194304]]]], [[11, 17, 1, 6,
4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-\
1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-3, -3], [2614535/1048576, 326817/131072], [746321/1048576, 373161/
524288]]]], [[11, 17, 1, 6, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
< -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [-3, -3], [2614535/1048576, 326817/131072],
[2, 2]]]], [[11, 18, 4, 4, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y = 0,
z < -1], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [
0, 0], [-2, -2]]]], [[11, 18, 4, 4, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -\
1, y = 0, z = -1], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
-1, -1], [0, 0], [-1, -1]]]], [[11, 18, 4, 4, 3], [2^(1/2) < v, u = (v^2+1)^(1
/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [207243/65536
, 3315889/1048576], [-1, -1], [0, 0], [0, 0]]]], [[11, 18, 4, 4, 4], [2^(1/2)
< v, u = (v^2+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1, -1], [0, 0], [1, 1]]]], [[11, 18, 4, 4, 5
], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[3
, 3], [207243/65536, 3315889/1048576], [-1, -1], [0, 0], [2, 2]]]], [[1, 1, 11
, 8, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = 0, z = z], [
regular_chain, [[-3, -3], [-5, -5], [16, 16], [0, 0], [0, 0]]]], [[1, 3, 5, 4,
1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 3, 5, 4, 2], [v < -2
^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[1, 3
, 5, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[
1, 3, 5, 4, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536
]]]], [[1, 3, 5, 4, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 7, 9
, 9, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), 0 < y
, z = z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1/
2, 1/2], [1, 1], [0, 0]]]], [[1, 9, 5, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [-2105899/2097152, -2105899/2097152], [-3, -3]]]], [[1
, 9, 5, 3, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(
-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [-2105899/
2097152, -2105899/2097152], [-1286023/1048576, -643011/524288]]]], [[1, 9, 5,
3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x
< 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [-2105899/2097152, -2105899/2097152], [0, 0]]]], [[1, 9, 5, 3, 4], [v < -2^(
1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v
^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [-1/2, -1/2], [-2105899/2097152, -2105899/2097152
], [643011/524288, 1286023/1048576]]]], [[1, 9, 5, 3, 5], [v < -2^(1/2), And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,
y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [-2105899/2097152, -2105899/2097152], [3, 3]]
]], [[1, 15, 3, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v
^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288]
, [-266003/1048576, -133001/524288], [-3, -3]]]], [[1, 15, 3, 2, 2], [v < -2^(
1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-\
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [-266003/1048576, -133001/
524288], [-1287385/1048576, -160923/131072]]]], [[1, 15, 3, 2, 3], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3
], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-\
266003/1048576, -133001/524288], [0, 0]]]], [[1, 15, 3, 2, 4], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [-266003/1048576, -133001/524288],
[160923/131072, 1287385/1048576]]]], [[1, 15, 3, 2, 5], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+
1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-657289/524288, -657289/524288], [-266003/1048576, -133001/524288], [3, 3]]]]
, [[1, 16, 7, 1, 1], [v < -2^(1/2), u = -v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-4, -4], [-3, -3]]]], [[1, 16,
7, 1, 2], [v < -2^(1/2), u = -v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [2, 2], [-4, -4], [-1482911/1048576, -741455
/524288]]]], [[1, 16, 7, 1, 3], [v < -2^(1/2), u = -v, 1 < x, y < -1-x, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3, 3], [2, 2],
[-4, -4], [0, 0]]]], [[1, 16, 7, 1, 4], [v < -2^(1/2), u = -v, 1 < x, y < -1-x
, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [2, 2], [-4, -4], [
741455/524288, 1482911/1048576]]]], [[1, 16, 7, 1, 5], [v < -2^(1/2), u = -v,
1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [2, 2],
[-4, -4], [3, 3]]]], [[1, 21, 1, 1, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18
, -18], [-1, -1], [-6, -6]]]], [[1, 21, 1, 1, 2], [v < -2^(1/2), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5,
5], [-18, -18], [-1, -1], [-4570637/1048576, -1142659/262144]]]], [[1, 21, 1,
1, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [-1
, -1], [0, 0]]]], [[1, 21, 1, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^
2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18, -\
18], [-1, -1], [1142659/262144, 4570637/1048576]]]], [[1, 21, 1, 1, 5], [v < -
2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [-18, -18], [-1, -1], [6, 6]]]], [[2, 1, 3,
6, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [9
/2, 9/2], [-1, -1]]]], [[2, 1, 3, 6, 2], [v = -2^(1/2), u < -2, And(-u^2+1 < x
,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [-9/2, -9/2], [9/2, 9/2], [0, 0]]]], [[2, 1, 3, 6, 3], [v = -2^(1/2)
, u < -2, And(-u^2+1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [9/2, 9/2], [1, 1]]]], [[2,
10, 9, 6, 1], [v = -2^(1/2), u = 0, 1 < x, y = 1-x, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-1, -1], [0, 0]]]], [[2, 
12, 3, 6, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [3/2
, 3/2], [-1, -1]]]], [[2, 12, 3, 6, 2], [v = -2^(1/2), u = 1, And(-2 < x,x < -\
1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1
], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[2, 12, 3, 6, 3], [v = -2^(1/2), u =
1, And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[2, 16, 9, 3, 1]
, [v = -2^(1/2), u = 3^(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [2, 2], [-3, -3], [-2, -2]]]], [[2, 16, 9, 3, 2], [v = -2^(1/2), u =
3^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-\
3, -3], [-1, -1]]]], [[2, 16, 9, 3, 3], [v = -2^(1/2), u = 3^(1/2), 1 < x, And
(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [2, 2],
[-3, -3], [0, 0]]]], [[2, 16, 9, 3, 4], [v = -2^(1/2), u = 3^(1/2), 1 < x, And
(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [2, 2], [-3, -3], [1, 1]]]],
[[2, 16, 9, 3, 5], [v = -2^(1/2), u = 3^(1/2), 1 < x, And(-x-2 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [2, 2], [-3, -3], [2, 2]]]], [[2, 18, 3, 1, 1], [v =
-2^(1/2), u = 2, And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-2, -2]
, [-3, -3]]]], [[2, 18, 3, 1, 2], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y
< -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [-2, -2], [-2, -2], [-2, -2]]]], [[2, 18, 3, 1, 3], [v = -2^(1/2),
u = 2, And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [-2, -2
], [0, 0]]]], [[2, 18, 3, 1, 4], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y <
-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[2, 2], [-2, -2], [-2, -2], [2, 2]]]], [[2, 18, 3, 1, 5], [v = -2^(1/2), u = 2
, And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-2, -2], [-2, -2], [3, 3]]]], [[3, 4, 9, 5,
1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, And(-x < y,y < 0), z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144,
-3287319/2097152], [2, 2], [-1, -1], [0, 0]]]], [[3, 6, 3, 7, 1], [And(-2^(1/2
) < v,v < -1), u = v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/
2, -1/2], [2, 2], [0, 0]]]], [[3, 10, 9, 4, 1], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [2, 2], [-2, -2], [-1, -1]]
]], [[3, 10, 9, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y
= -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [2, 2], [-2, -2], [0, 0]]]], [[3, 10, 9, 4, 3], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [2,
2], [-2, -2], [1, 1]]]], [[3, 12, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = -v,
And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/2, 1/2]
, [-1, -1]]]], [[3, 12, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 <
x,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[
3, 12, 3, 6, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y = -x,
0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 15, 1, 7,
1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -
u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [8890573
/2097152, 8890573/2097152], [0, 0]]]], [[3, 16, 4, 3, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[3, 16, 4, 3, 2], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[3, 16,
4, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y <
0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-1, -1], [0,
0]]]], [[3, 16, 4, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -1
, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-1, -1], [-1, -1], [741455
/524288, 1482911/1048576]]]], [[3, 16, 4, 3, 5], [And(-2^(1/2) < v,v < -1), u
= (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-1, -\
1], [-1, -1], [3, 3]]]], [[4, 3, 3, 1, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1
/2)), And(-u^2 < x,x < -1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[
-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/
1048576], [-2, -2], [-3, -3]]]], [[4, 3, 3, 1, 2], [v = -1, And(-3^(1/2) < u,u
< -2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-2, -2], [-2027137/1048576, -16217095/8388608]]]]
, [[4, 3, 3, 1, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x <
-1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/
1048576], [-2, -2], [-7/16777216, -7/16777216]]]], [[4, 3, 3, 1, 4], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(
1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [-2, -2], [15837/8192, 2027137/1048576]]]]
, [[4, 3, 3, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x <
-1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-2, -2], [3
, 3]]]], [[4, 4, 6, 5, 1], [v = -1, u = -2^(1/2), x = 0, 0 < y, z = z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [0, 0], [1, 1],
[0, 0]]]], [[4, 11, 3, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x
< -1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/
1048576, 359483/524288], [-2, -2]]]], [[4, 11, 3, 6, 2], [v = -1, And(1 < u,u
< 2^(1/2)), And(-u^2 < x,x < -1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [718965/1048576, 359483/524288], [-772605/1048576,
-1545209/2097152]]]], [[4, 11, 3, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(
-u^2 < x,x < -1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1288231/
1048576, -1288231/1048576], [718965/1048576, 359483/524288], [-1/4194304, -1/
4194304]]]], [[4, 11, 3, 6, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,
x < -1), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743
/1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/
1048576, 359483/524288], [193151/262144, 772605/1048576]]]], [[4, 11, 3, 6, 5]
, [v = -1, And(1 < u,u < 2^(1/2)), And(-u^2 < x,x < -1), y = u^2-x-2, (-u^2+2)
^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [718965/1048576, 359483/524288], [2, 2]]]]
, [[4, 12, 7, 5, 1], [v = -1, u = 2^(1/2), And(0 < x,x < 1), And(-x < y,y < 0)
, z = z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [1/2, 1
/2], [-1/4, -1/4], [0, 0]]]], [[5, 1, 6, 5, 1], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[-1/2, -1/
2], [-3, -3], [0, 0], [31/8, 31/8], [0, 0]]]], [[5, 2, 9, 3, 1], [And(-1 < v,v
< 0), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [-7/2, -7/2], [-3, -3]]]],
[[5, 2, 9, 3, 2], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2,
2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[5, 2, 9, 3, 3], [
And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [
2, 2], [-7/2, -7/2], [0, 0]]]], [[5, 2, 9, 3, 4], [And(-1 < v,v < 0), u = -(v^
2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-1/2, -1/2], [-3/2, -3/2], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/
1048576]]]], [[5, 2, 9, 3, 5], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x,
And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3/2,
-3/2], [2, 2], [-7/2, -7/2], [3, 3]]]], [[5, 13, 1, 1, 1], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3, 3], [-11, -11], [-1, -1], [-5, -5]]]], [[5, 13, 1, 1, 2], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)
], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-1, -1], [-1816187/
524288, -3632373/1048576]]]], [[5, 13, 1, 1, 3], [And(-1 < v,v < 0), (v^2+2)^(
1/2) < u, x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-1, -1], [0, 0]]]], [[5, 13
, 1, 1, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, z =
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [-11, -11], [-1, -1], [
3632373/1048576, 1816187/524288]]]], [[5, 13, 1, 1, 5], [And(-1 < v,v < 0), (v
^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [3, 3], [-11, -11], [-1, -1], [5, 5]]]], [[6, 1, 3, 6, 1], [v = 0,
u < -2^(1/2), And(-u^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[0, 0],
[-3, -3], [-11/2, -11/2], [11/2, 11/2], [-1, -1]]]], [[6, 1, 3, 6, 2], [v = 0,
u < -2^(1/2), And(-u^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[0, 0],
[-3, -3], [-11/2, -11/2], [11/2, 11/2], [0, 0]]]], [[6, 1, 3, 6, 3], [v = 0, u
< -2^(1/2), And(-u^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[0, 0], [
-3, -3], [-11/2, -11/2], [11/2, 11/2], [1, 1]]]], [[6, 5, 4, 2, 1], [v = 0, 
And(-1 < u,u < 0), x = -1, y = -u^2, z < -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-1, -1], [-1/4, -1/4], [-3, -3]]]], [[6, 5, 4, 2, 2], [v =
0, And(-1 < u,u < 0), x = -1, y = -u^2, z = -(u^2+1)^(1/2)], [regular_chain, [
[0, 0], [-1/2, -1/2], [-1, -1], [-1/4, -1/4], [-146543/131072, -1172343/
1048576]]]], [[6, 5, 4, 2, 3], [v = 0, And(-1 < u,u < 0), x = -1, y = -u^2, 
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1
/2], [-1, -1], [-1/4, -1/4], [0, 0]]]], [[6, 5, 4, 2, 4], [v = 0, And(-1 < u,u
< 0), x = -1, y = -u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1
/2], [-1, -1], [-1/4, -1/4], [1172343/1048576, 146543/131072]]]], [[6, 5, 4, 2
, 5], [v = 0, And(-1 < u,u < 0), x = -1, y = -u^2, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-1, -1], [-1/4, -1/4], [3, 3]]]], [[6,
7, 1, 3, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(0 < y,y < -u^2-x-1), z
< -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [7/8, 7/8], [
-3, -3]]]], [[6, 7, 1, 3, 2], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(0 < y,
y < -u^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -\
3], [7/8, 7/8], [-764275/524288, -1528549/1048576]]]], [[6, 7, 1, 3, 3], [v =
0, And(0 < u,u < 1), x < -u^2-1, And(0 < y,y < -u^2-x-1), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [7/8, 7/8
], [0, 0]]]], [[6, 7, 1, 3, 4], [v = 0, And(0 < u,u < 1), x < -u^2-1, And(0 <
y,y < -u^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-3,
-3], [7/8, 7/8], [1528549/1048576, 764275/524288]]]], [[6, 7, 1, 3, 5], [v = 0
, And(0 < u,u < 1), x < -u^2-1, And(0 < y,y < -u^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [7/8, 7/8], [3, 3]]]], [[7, 1, 8
, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-43/4, -43/4
], [-5, -5]]]], [[7, 1, 8, 2, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1
, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -\
3], [1, 1], [-43/4, -43/4], [-1637089/524288, -3274177/1048576]]]], [[7, 1, 8,
2, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -\
3], [1, 1], [-43/4, -43/4], [0, 0]]]], [[7, 1, 8, 2, 4], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [1, 1], [-43/4, -43/4], [3274177/1048576
, 1637089/524288]]]], [[7, 1, 8, 2, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
3, -3], [1, 1], [-43/4, -43/4], [5, 5]]]], [[7, 3, 1, 7, 1], [And(0 < v,v < 1)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-x < y,y < u
^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-4, -4], [4437325/1048576, 4437325/1048576], [0, 0]]]], [[7, 7, 5, 8
, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x < -u^2+v^2-1), y = -x
, z < 0], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8], [7/8, 7/8], [-1,
-1]]]], [[7, 7, 5, 8, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-1 < x,x <
-u^2+v^2-1), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [0, 0], [-7/8, -7/8]
, [7/8, 7/8], [0, 0]]]], [[7, 7, 5, 8, 3], [And(0 < v,v < 1), And(-v < u,u < v
), And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [0
, 0], [-7/8, -7/8], [7/8, 7/8], [1, 1]]]], [[7, 9, 3, 2, 1], [And(0 < v,v < 1)
, And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -\
106039/524288], [-3, -3]]]], [[7, 9, 3, 2, 2], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [-212079/1048576, -106039/524288], [-19417
/16384, -1242687/1048576]]]], [[7, 9, 3, 2, 3], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/
1048576, -106039/524288], [0, 0]]]], [[7, 9, 3, 2, 4], [And(0 < v,v < 1), And(
v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -106039/
524288], [1242687/1048576, 19417/16384]]]], [[7, 9, 3, 2, 5], [And(0 < v,v < 1
), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631
/2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -106039/
524288], [3, 3]]]], [[7, 11, 7, 4, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain
, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/1048576, 243021/1048576
], [-243021/1048576, -243021/1048576], [-1, -1]]]], [[7, 11, 7, 4, 2], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1)
, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[243021/1048576, 243021/1048576], [-243021/1048576, -243021/1048576], [0, 0]]]
], [[7, 11, 7, 4, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [-243021/
1048576, -243021/1048576], [1, 1]]]], [[7, 12, 9, 5, 1], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[1/2, 1/
2], [3/2, 3/2], [2, 2], [-3/2, -3/2], [0, 0]]]], [[8, 3, 8, 7, 1], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, 0 < y, z = z], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [1, 1
], [0, 0]]]], [[8, 5, 3, 8, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(-u^2 < x
,x < -1), y = -x, z < 0], [regular_chain, [[1, 1], [-1265743/1048576, -1265743
/1048576], [-1288231/1048576, -1288231/1048576], [1288231/1048576, 1288231/
1048576], [-1, -1]]]], [[8, 5, 3, 8, 2], [v = 1, And(-2^(1/2) < u,u < -1), And
(-u^2 < x,x < -1), y = -x, z = 0], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [-1288231/1048576, -1288231/1048576], [1288231/1048576, 
1288231/1048576], [0, 0]]]], [[8, 5, 3, 8, 3], [v = 1, And(-2^(1/2) < u,u < -1
), And(-u^2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [1288231/
1048576, 1288231/1048576], [1, 1]]]], [[8, 11, 9, 3, 1], [v = 1, And(1 < u,u <
2^(1/2)), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
50331659/33554432, -50331659/33554432], [-3, -3]]]], [[8, 11, 9, 3, 2], [v = 1
, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z = -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1
/2, 1/2], [-50331659/33554432, -50331659/33554432], [-1048577/1048576, -1]]]],
[[8, 11, 9, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-u^2-
x < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-50331659/33554432,
-50331659/33554432], [0, 0]]]], [[8, 11, 9, 3, 4], [v = 1, And(1 < u,u < 2^(1/
2)), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
50331659/33554432, -50331659/33554432], [1, 1048577/1048576]]]], [[8, 11, 9, 3
, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(-u^2-x < y,y < u^2
-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-50331659/33554432, -50331659/33554432], [3, 3]]]], [[8
, 13, 4, 2, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = -u^2+1, z <
-u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-\
773191/524288, -1546381/1048576], [-3, -3]]]], [[8, 13, 4, 2, 2], [v = 1, And(
2^(1/2) < u,u < 3^(1/2)), x = -1, y = -u^2+1, z = -u], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [-1, -1], [-773191/524288, -1546381/
1048576], [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 4, 2, 3], [v = 1,
And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = -u^2+1, And(-u < z,z < u)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-773191
/524288, -1546381/1048576], [-1/4194304, -1/4194304]]]], [[8, 13, 4, 2, 4], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = -u^2+1, z = u], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-773191/524288, -\
1546381/1048576], [412387/262144, 1649549/1048576]]]], [[8, 13, 4, 2, 5], [v =
1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = -u^2+1, u < z], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [-1, -1], [-773191/524288, -\
1546381/1048576], [3, 3]]]], [[9, 2, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1,
1], [-3, -3]]]], [[9, 2, 1, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2)
, x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [1, 1], [-1816187/
1048576, -3632373/2097152]]]], [[9, 2, 1, 4, 3], [And(1 < v,v < 2^(1/2)), u =
-(v^2+2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[9, 2, 1, 4,
4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[9,
2, 1, 4, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = -x-3, 3^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [1, 1], [3, 3]]]], [[9, 3, 5, 5, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x
,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1/2, -1/2
], [1/4, 1/4], [-2, -2]]]], [[9, 3, 5, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]
], [[9, 3, 5, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 3, 5, 5
, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1
/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 3, 5, 5, 5], [And(1 < v,v < 2^(1/2)
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [
[9, 13, 8, 5, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0
, And(u^2-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-\
139585/524288, -139585/524288], [-2, -2]]]], [[9, 13, 8, 5, 2], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = -
(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [0, 0], [-139585/524288, -139585/524288], [-1082093
/2097152, -270523/524288]]]], [[9, 13, 8, 5, 3], [And(1 < v,v < 2^(1/2)), And(
v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z
,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [0, 0], [-139585/524288, -139585/524288], [
0, 0]]]], [[9, 13, 8, 5, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1
/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0],
[-139585/524288, -139585/524288], [270523/524288, 541047/1048576]]]], [[9, 13,
8, 5, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, And(u^
2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-139585/524288,
-139585/524288], [2, 2]]]], [[9, 15, 3, 6, 1], [And(1 < v,v < 2^(1/2)), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/524288, 1823847/1048576
], [-1, -1]]]], [[9, 15, 3, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/524288, 1823847/1048576
], [0, 0]]]], [[9, 15, 3, 6, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/524288, 1823847/1048576
], [1, 1]]]], [[10, 1, 11, 8, 1], [v = 2^(1/2), u < -2, u^2-3 < x, y = 0, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7, 7], [0, 0
], [0, 0]]]], [[10, 3, 4, 9, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -\
1, u^2-2 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [3, 3], [0, 0]]]], [[10, 9, 8, 6
, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [0
, 0], [0, 0]]]], [[10, 11, 1, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3
, And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-4, -4], [35/8, 35/8], [0, 0]]]], [[10, 15, 6, 5, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), z < -(-
u^2-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [275385/1048576
, 275385/1048576], [-2, -2]]]], [[10, 15, 6, 5, 2], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [275385/1048576, 275385/1048576]
, [-1074733/2097152, -268683/524288]]]], [[10, 15, 6, 5, 3], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) <
z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-1101541/2097152, -275385/524288], [275385
/1048576, 275385/1048576], [0, 0]]]], [[10, 15, 6, 5, 4], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [275385/1048576, 275385/1048576]
, [268683/524288, 537367/1048576]]]], [[10, 15, 6, 5, 5], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x = u^2-3, And(0 < y,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1101541/2097152, -275385/524288], [275385/1048576, 275385/1048576]
, [2, 2]]]], [[10, 17, 1, 6, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-4, -4], [4, 4], [-1, -1]]]], [[10, 17, 1,
6, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [4, 4], [0, 0]]]], [[10, 17, 1, 6, 3], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), x < -u^2+1, y = -x, 0 < z], [regular_chain, [[741455/524288
, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [4, 4], [1,
1]]]], [[10, 19, 4, 3, 1], [v = 2^(1/2), 2 < u, x = -1, And(-u^2+2 < y,y < 0),
z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-1, -1], [-7/2, -7/2], [-4, -4]]]], [[10, 19, 4, 3, 2], [v = 2^(1/2), 2 < u,
x = -1, And(-u^2+2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1, -1], [-7/2, -7/2], [-1112183/524288, -\
2224365/1048576]]]], [[10, 19, 4, 3, 3], [v = 2^(1/2), 2 < u, x = -1, And(-u^2
+2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-7/2, -7/2], [0, 0]]]], [[
10, 19, 4, 3, 4], [v = 2^(1/2), 2 < u, x = -1, And(-u^2+2 < y,y < 0), z = (1-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1],
[-7/2, -7/2], [2224365/1048576, 1112183/524288]]]], [[10, 19, 4, 3, 5], [v = 2
^(1/2), 2 < u, x = -1, And(-u^2+2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [-7/2, -7/2], [4, 4]]]]
, [[11, 1, 6, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0], [-17, -17]
, [-6, -6]]]], [[11, 1, 6, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, y =
-u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0]
, [-17, -17], [-2161695/524288, -4323389/1048576]]]], [[11, 1, 6, 2, 3], [2^(1
/2) < v, u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [0, 0], [-17, -17
], [0, 0]]]], [[11, 1, 6, 2, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 0, y =
-u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [0, 0],
[-17, -17], [4323389/1048576, 2161695/524288]]]], [[11, 1, 6, 2, 5], [2^(1/2)
< v, u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [0, 0], [-17, -17], [6, 6]]]], [[11, 5, 7, 4
, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0),
y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-265597/
1048576, -66399/262144], [-2, -2]]]], [[11, 5, 7, 4, 2], [2^(1/2) < v, And(-(v
^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [-373161
/524288, -1492643/2097152]]]], [[11, 5, 7, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(
1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)
^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-1062385/4194304, -1062385/4194304], [-265597/1048576, -\
66399/262144], [-1/4194304, -1/4194304]]]], [[11, 5, 7, 4, 4], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [
746321/1048576, 373161/524288]]]], [[11, 5, 7, 4, 5], [2^(1/2) < v, And(-(v^2+
1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^
(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-265597/1048576, -66399/262144], [2, 2]]]
], [[11, 7, 4, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y
< u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[11, 7, 4, 1, 2], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-2, -\
2], [-1816187/1048576, -3632373/2097152]]]], [[11, 7, 4, 1, 3], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[11, 7, 4, 1, 4], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = (1-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-2, -\
2], [908093/524288, 1816187/1048576]]]], [[11, 7, 4, 1, 5], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-2, -\
2], [3, 3]]]], [[11, 13, 2, 4, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^
2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [657547/
262144, 2630189/1048576], [-1, -1]]]], [[11, 13, 2, 4, 2], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-5260377/2097152, -\
657547/262144], [657547/262144, 2630189/1048576], [0, 0]]]], [[11, 13, 2, 4, 3
], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y =
-u^2+v^2+1, 0 < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[-5260377/2097152, -657547/262144], [657547/262144, 2630189/1048576], [1, 1]]]
], [[11, 14, 5, 4, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y =
0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576]
, [-1/2, -1/2], [0, 0], [-2, -2]]]], [[11, 14, 5, 4, 2], [2^(1/2) < v, u = (v^
2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3
], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152,
-741455/1048576]]]], [[11, 14, 5, 4, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(
-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11
, 14, 5, 4, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z =
(-x)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2,
-1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 14, 5, 4, 5], [2^(1/2)
< v, u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1/2, -1/2], [0, 0]
, [2, 2]]]], [[11, 19, 2, 1, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144]
, [-1, -1], [-3, -3]]]], [[11, 19, 2, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576,
-653799/262144], [-1, -1], [-7840147/4194304, -3920073/2097152]]]], [[11, 19,
2, 1, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2
-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576,
-653799/262144], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 19, 2, 1, 4], [2
^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z
= (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-2615197/1048576, -653799/262144], [-1, -1], [490009/262144, 
1960037/1048576]]]], [[11, 19, 2, 1, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576,
-653799/262144], [-1, -1], [3, 3]]]], [[11, 20, 4, 2, 1], [2^(1/2) < v, u = (v
^2+2)^(1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1, -1], [-2, -2], [-3, -3]]]], [[11, 20, 4, 2, 2],
[2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain
, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[11, 20, 4, 2, 3], [2^(1/2) < v, u = (v^2+2)^(
1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [-1, -1], [-2, -2], [-1/4194304, -1/4194304
]]]], [[11, 20, 4, 2, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y = -2, z =
3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1]
, [-2, -2], [908093/524288, 1816187/1048576]]]], [[11, 20, 4, 2, 5], [2^(1/2)
< v, u = (v^2+2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [-1, -1], [-2, -2], [3, 3]]]], [[1, 5, 7, 6
, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1062385/4194304, -1062385/4194304], [0, 0], [-2, -2]]]], [[1, 5, 7,
6, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-1062385/4194304, -1062385/4194304], [0, 0], [-527729/1048576, -\
1055457/2097152]]]], [[1, 5, 7, 6, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), And(u^2-v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 5, 7, 6, 4], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = 0, z =
(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [0, 0], [32983/65536, 527729/1048576]]]],
[[1, 5, 7, 6, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1
< x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072
, -403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0], [2, 2]]]], [[
1, 7, 4, 7, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2
+v^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [-2,
-2]]]], [[1, 7, 4, 7, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1
, And(-u^2+v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [1580581/2097152, 1580581/
2097152], [-16263/32768, -520415/1048576]]]], [[1, 7, 4, 7, 3], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [0, 0]]]], [[1
, 7, 4, 7, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+
v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [520415/
1048576, 16263/32768]]]], [[1, 7, 4, 7, 5], [v < -2^(1/2), And(v < u,u < -(v^2
-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [1580581/2097152, 
1580581/2097152], [2, 2]]]], [[1, 11, 5, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]
]], [[1, 11, 5, 5, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[1, 11, 5, 5, 3]
, [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0),
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-3, -3], [0, 0], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 11, 5, 5, 4], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2
], [1/4, 1/4], [1/2, 1/2]]]], [[1, 11, 5, 5, 5], [v < -2^(1/2), And(-(v^2-2)^(
1/2) < u,u < (v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [0, 0], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]]
, [[1, 12, 8, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, y < -4, z < -(-y
-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1],
[-5, -5], [-3, -3]]]], [[1, 12, 8, 1, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x
= 1, y < -4, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [1, 1], [-5, -5], [-2, -2]]]], [[1, 12, 8, 1, 3], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [-5, -5], [0,
0]]]], [[1, 12, 8, 1, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, y < -4, z =
(-y-1)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1
], [-5, -5], [2, 2]]]], [[1, 12, 8, 1, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x
= 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [1, 1], [-5, -5], [3, 3]]]], [[1, 19, 2, 3, 1], [v < -2^(1/2), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^
2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-2615197/1048576, -653799/262144], [653799/524288, 653799/
524288], [-3, -3]]]], [[1, 19, 2, 3, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+
1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
2615197/1048576, -653799/262144], [653799/524288, 653799/524288], [-1170947/
1048576, -585473/524288]]]], [[1, 19, 2, 3, 3], [v < -2^(1/2), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2
-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [653799
/524288, 653799/524288], [0, 0]]]], [[1, 19, 2, 3, 4], [v < -2^(1/2), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z
= (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-2615197/1048576, -653799/262144], [653799/524288, 653799/524288],
[585473/524288, 1170947/1048576]]]], [[1, 19, 2, 3, 5], [v < -2^(1/2), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (
u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-2615197/1048576, -653799/262144], [653799/524288, 653799/524288],
[3, 3]]]], [[1, 20, 4, 8, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y = 2,
z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1]
, [2, 2], [0, 0]]]], [[2, 3, 3, 8, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, And(-u^2+1 < x,x < -1), y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [291383/131072, 2331065/1048576], [0, 0]]]], [[2,
4, 7, 7, 1], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [1, 1], [0, 0]]]], [[2, 7, 4, 8, 1], [v = -2^(1/
2), And(v < u,u < -1), x = -1, y = 1, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [1,
1], [-1, -1]]]], [[2, 7, 4, 8, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, y
= 1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[2, 7, 4, 8, 3], [v
= -2^(1/2), And(v < u,u < -1), x = -1, y = 1, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -\
1], [1, 1], [1, 1]]]], [[2, 8, 9, 2, 1], [v = -2^(1/2), u = -1, 1 < x, y = -x-\
2, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1
], [2, 2], [-4, -4], [-3, -3]]]], [[2, 8, 9, 2, 2], [v = -2^(1/2), u = -1, 1 <
x, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[2, 8,
9, 2, 3], [v = -2^(1/2), u = -1, 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2, 2], [-4
, -4], [0, 0]]]], [[2, 8, 9, 2, 4], [v = -2^(1/2), u = -1, 1 < x, y = -x-2, z
= 2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [2,
2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[2, 8, 9, 2, 5], [v = -2^(
1/2), u = -1, 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [2, 2], [-4, -4], [3, 3]]]], [[2, 13, 1, 2
, 1], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-3, -3]]]], [[2, 13, 1, 2, 2], [v = -2^(1/2), And
(1 < u,u < -v), x < u^2-3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [0, 0
], [-1816187/1048576, -3632373/2097152]]]], [[2, 13, 1, 2, 3], [v = -2^(1/2),
And(1 < u,u < -v), x < u^2-3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[2, 13, 1, 2, 4], [v
= -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[2, 13, 1, 2
, 5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [3, 3]]]], [[2, 14, 4, 4, 1], [v = -2^(1/2), u = -
v, x = 0, y = 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-1, -1]]]], [[2, 14, 4, 4,
2], [v = -2^(1/2), u = -v, x = 0, y = 0, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [0, 0], [0, 0], [0
, 0]]]], [[2, 14, 4, 4, 3], [v = -2^(1/2), u = -v, x = 0, y = 0, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [0, 0], [0, 0], [1, 1]]]], [[3, 1, 4, 9, 1], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [9, 9], [0, 0]]]], [[3
, 2, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(0 < x,x < 1)
, And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [1/2, 1/2], [-1/4, -1/4], [0,
0]]]], [[3, 7, 3, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2, -2], [-3, -3]]]],
[[3, 7, 3, 1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-2695357/2097152, -2695357/2097152], [-2, -2], [-7602281/4194304, -950285/
524288]]]], [[3, 7, 3, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1
)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2,
-2], [0, 0]]]], [[3, 7, 3, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v
^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2, -2], [950285/
524288, 1900571/1048576]]]], [[3, 7, 3, 1, 5], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2, -2], [3
, 3]]]], [[3, 8, 6, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x =
0, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [0, 0], [1, 1], [0, 0]]]], [[4, 1, 4, 5, 1],
[v = -1, u < -3^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[4, 1,
4, 5, 2], [v = -1, u < -3^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)],
[regular_chain, [[-1, -1], [-3, -3], [-1, -1], [1/2, 1/2], [-1482911/2097152,
-741455/1048576]]]], [[4, 1, 4, 5, 3], [v = -1, u < -3^(1/2), x = -1, And(0 <
y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [
-3, -3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[4, 1, 4, 5, 4], [v = -1, u < -3^(1
/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-\
3, -3], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[4, 1, 4, 5,
5], [v = -1, u < -3^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-3, -3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[4, 2, 7
, 1, 1], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2],
[-5, -5], [-4, -4]]]], [[4, 2, 7, 1, 2], [v = -1, u = -3^(1/2), And(0 < x,x <
1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576
, -3632373/2097152], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]
]]], [[4, 2, 7, 1, 3], [v = -1, u = -3^(1/2), And(0 < x,x < 1), y < -x-3, And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-5, -5], [0, 0]]]], [[4, 2, 7, 1, 4],
[v = -1, u = -3^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-\
5, -5], [2224365/1048576, 1112183/524288]]]], [[4, 2, 7, 1, 5], [v = -1, u = -
3^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5, -5], [4, 4]]]], [[
4, 7, 2, 2, 1], [v = -1, And(-1 < u,u < 0), x = u^2-2, y = 0, z < -(-u^2+2)^(1
/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [0, 0], [-3, -3]]
]], [[4, 7, 2, 2, 2], [v = -1, And(-1 < u,u < 0), x = u^2-2, y = 0, z = -(-u^2
+2)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [0, 0], [-\
10837/8192, -1387135/1048576]]]], [[4, 7, 2, 2, 3], [v = -1, And(-1 < u,u < 0)
, x = u^2-2, y = 0, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [0, 0], [0, 0]]]], [[4,
7, 2, 2, 4], [v = -1, And(-1 < u,u < 0), x = u^2-2, y = 0, z = (-u^2+2)^(1/2)]
, [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4, -7/4], [0, 0], [1387135/
1048576, 10837/8192]]]], [[4, 7, 2, 2, 5], [v = -1, And(-1 < u,u < 0), x = u^2
-2, y = 0, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-7/4
, -7/4], [0, 0], [3, 3]]]], [[4, 8, 5, 6, 1], [v = -1, u = 0, And(-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [1/2, 1/2]
, [-1, -1]]]], [[4, 8, 5, 6, 2], [v = -1, u = 0, And(-1 < x,x < 0), y = -x, z
= 0], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]],
[[4, 8, 5, 6, 3], [v = -1, u = 0, And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 14
, 8, 2, 1], [v = -1, u = 3^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain
, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [-4, -4], [-3, -3]]]],
[[4, 14, 8, 2, 2], [v = -1, u = 3^(1/2), x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [-4, -4],
[-1816187/1048576, -3632373/2097152]]]], [[4, 14, 8, 2, 3], [v = -1, u = 3^(1/
2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]
], [[4, 14, 8, 2, 4], [v = -1, u = 3^(1/2), x = 1, y = -4, z = 3^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1, 1], [-4, -4],
[908093/524288, 1816187/1048576]]]], [[4, 14, 8, 2, 5], [v = -1, u = 3^(1/2),
x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [1, 1], [-4, -4], [3, 3]]]], [[5, 1, 1, 7, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z],
[regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [119/8, 119/8], [0, 0]]]]
, [[5, 5, 2, 3, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^
2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -\
1472733/1048576], [424157/1048576, 424157/1048576], [-3, -3]]]], [[5, 5, 2, 3,
2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 <
y,y < 2*u^2-2*v^2), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [
424157/1048576, 424157/1048576], [-1048577/1048576, -1]]]], [[5, 5, 2, 3, 3],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y
< 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/1048576, 424157/1048576], [0, 0]]]], [[5, 5
, 2, 3, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1,
And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576
], [424157/1048576, 424157/1048576], [1, 1048577/1048576]]]], [[5, 5, 2, 3, 5]
, [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y
,y < 2*u^2-2*v^2), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [
424157/1048576, 424157/1048576], [3, 3]]]], [[5, 6, 6, 2, 1], [And(-1 < v,v <
0), u = v, x = 1, y = -2, z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2]
, [1, 1], [-2, -2], [-2, -2]]]], [[5, 6, 6, 2, 2], [And(-1 < v,v < 0), u = v,
x = 1, y = -2, z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [
-2, -2], [-1, -1]]]], [[5, 6, 6, 2, 3], [And(-1 < v,v < 0), u = v, x = 1, y =
-2, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [
-2, -2], [0, 0]]]], [[5, 6, 6, 2, 4], [And(-1 < v,v < 0), u = v, x = 1, y = -2
, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-2, -2], [1, 1
]]]], [[5, 6, 6, 2, 5], [And(-1 < v,v < 0), u = v, x = 1, y = -2, 1 < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1, 1], [-2, -2], [2, 2]]]], [[5,
9, 5, 3, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x <
u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-1272471/4194304, -1272471/4194304], [-3, -3]]]], [[5, 9, 5, 3, 2],
[And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1),
And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
1272471/4194304, -1272471/4194304], [-1100319/1048576, -550159/524288]]]], [[5
, 9, 5, 3, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304], [0,
0]]]], [[5, 9, 5, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 
And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304], [550159/
524288, 1100319/1048576]]]], [[5, 9, 5, 3, 5], [And(-1 < v,v < 0), And(-v < u,
u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), (-
x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1672995/2097152, -1672995/2097152], [-1272471/4194304, -1272471/
4194304], [3, 3]]]], [[5, 10, 9, 6, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [2, 2], [0, 0], [0, 0]]]], [[6, 1, 8, 4, 1], [v = 0, u < -2^(1/2), x
= 1, y = -1, z < 0], [regular_chain, [[0, 0], [-3, -3], [1, 1], [-1, -1], [-1,
-1]]]], [[6, 1, 8, 4, 2], [v = 0, u < -2^(1/2), x = 1, y = -1, z = 0], [
regular_chain, [[0, 0], [-3, -3], [1, 1], [-1, -1], [0, 0]]]], [[6, 1, 8, 4, 3
], [v = 0, u < -2^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[0, 0], [-3,
-3], [1, 1], [-1, -1], [1, 1]]]], [[6, 3, 1, 9, 1], [v = 0, And(-2^(1/2) < u,u
< -1), x < -u^2-1, u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-4, -4], [6, 6], [0, 0]]]], [[6, 9, 5, 4, 1], [v
= 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[6, 9, 5, 4, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,
x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]]
, [[6, 9, 5, 4, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[6, 9, 5, 4, 4],
[v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[6, 9, 5, 4, 5], [v = 0, And(1 < u,u <
2^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0],
[1265743/1048576, 1265743/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[6, 10,
7, 9, 1], [v = 0, u = 2^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2],
[0, 0]]]], [[7, 3, 6, 5, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [0, 0], [243021/1048576, 243021/
1048576], [0, 0]]]], [[7, 5, 2, 1, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/
1048576], [-1, -1], [-3, -3]]]], [[7, 5, 2, 1, 2], [And(0 < v,v < 1), And(-(v^
2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [-1, -1], [-406493/262144, -3251943/2097152]]]], [[
7, 5, 2, 1, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^
2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[7, 5, 2, 1
, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0
, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -1], [1625971/
1048576, 406493/262144]]]], [[7, 5, 2, 1, 5], [And(0 < v,v < 1), And(-(v^2+1)^
(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [-1, -1], [3, 3]]]], [[8, 1, 9, 9, 1], [v = 1, u <
-3^(1/2), And(1 < x,x < u^2-2), u^2-x-2 < y, z = z], [regular_chain, [[1, 1],
[-3, -3], [4, 4], [4, 4], [0, 0]]]], [[8, 3, 3, 3, 1], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-773191/2097152, -773191/2097152], [-3, -3]]]], [
[8, 3, 3, 3, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1),
And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-773191/
2097152, -773191/2097152], [-760861/524288, -1521721/1048576]]]], [[8, 3, 3, 3
, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-\
773191/2097152, -773191/2097152], [0, 0]]]], [[8, 3, 3, 3, 4], [v = 1, And(-3^
(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = (-x-
y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [-773191/2097152, -773191/2097152], [
1521721/1048576, 760861/524288]]]], [[8, 3, 3, 3, 5], [v = 1, And(-3^(1/2) < u
,u < -2^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-773191/2097152, -773191/2097152], [3, 3]]]], [[8
, 7, 8, 1, 1], [v = 1, And(-1 < u,u < 0), x = 0, y < u^2-2, z < -(-y)^(1/2)],
[regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-3, -3], [-3, -3]]]], [[8, 7,
8, 1, 2], [v = 1, And(-1 < u,u < 0), x = 0, y < u^2-2, z = -(-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 7, 8, 1, 3], [v = 1, And(-1 < u,u < 0), x = 0, y < u
^2-2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1
/2], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[8, 7, 8, 1, 4], [v = 1,
And(-1 < u,u < 0), x = 0, y < u^2-2, z = (-y)^(1/2)], [regular_chain, [[1, 1],
[-1/2, -1/2], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[8, 7, 8
, 1, 5], [v = 1, And(-1 < u,u < 0), x = 0, y < u^2-2, (-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [-3, -3], [3, 3]]]], [[8, 9, 3,
2, 1], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = u^2-x-2, z < -(-u^
2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8], [-3/8, -3/8]
, [-3, -3]]]], [[8, 9, 3, 2, 2], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -\
1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-\
11/8, -11/8], [-3/8, -3/8], [-10837/8192, -1387135/1048576]]]], [[8, 9, 3, 2,
3], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = u^2-x-2, And(-(-u^2+2
)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8,
-11/8], [-3/8, -3/8], [0, 0]]]], [[8, 9, 3, 2, 4], [v = 1, And(0 < u,u < 1), 
And(u^2-2 < x,x < -1), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-11/8, -11/8], [-3/8, -3/8], [1387135/1048576, 10837/8192]]]]
, [[8, 9, 3, 2, 5], [v = 1, And(0 < u,u < 1), And(u^2-2 < x,x < -1), y = u^2-x
-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-11/8, -11/8],
[-3/8, -3/8], [3, 3]]]], [[8, 15, 4, 8, 1], [v = 1, 3^(1/2) < u, x = -1, y = u
^2-1, z = z], [regular_chain, [[1, 1], [3, 3], [-1, -1], [8, 8], [0, 0]]]], [[
9, 1, 6, 7, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, u^2-v^2-1
< y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0
, 0], [8, 8], [0, 0]]]], [[9, 5, 8, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+
1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1538813/1048576, -384703/262144], [-3, -3]]]], [[9
, 5, 8, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0,
y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [-1538813/
1048576, -384703/262144], [-1270261/1048576, -317565/262144]]]], [[9, 5, 8, 2,
3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v
^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0
], [-1538813/1048576, -384703/262144], [0, 0]]]], [[9, 5, 8, 2, 4], [And(1 < v
,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [0, 0], [-1538813/1048576, -384703/262144], [
317565/262144, 1270261/1048576]]]], [[9, 5, 8, 2, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [0, 0], [-1538813/1048576, -384703/262144], [3, 3]]]], [[9,
7, 4, 8, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1,
y = 1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [1, 1], [-1, -1]]]], [[9, 7, 4, 8, 2], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = 1, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [1, 1], [0, 0]]]], [[9, 7, 4, 8, 3], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [1, 1], [1, 1]]]], [[9, 9, 9, 4, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [1527887/2097152, 1527887/2097152], [-1527887/2097152, -1527887/2097152], [
-1, -1]]]], [[9, 9, 9, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,
u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, z = 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152
], [-1527887/2097152, -1527887/2097152], [0, 0]]]], [[9, 9, 9, 4, 3], [And(1 <
v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,
x < 1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [1527887/2097152, 1527887/2097152], [-1527887/2097152, -1527887/2097152
], [1, 1]]]], [[9, 11, 4, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-1, -1]
, [-1196409/4194304, -1196409/4194304], [-3, -3]]]], [[9, 11, 4, 3, 2], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 0)
, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-1, -1], [-1196409/4194304, -1196409/4194304
], [-1188757/1048576, -297189/262144]]]], [[9, 11, 4, 3, 3], [And(1 < v,v < 2^
(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-
y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-1, -1], [-1196409/4194304, -\
1196409/4194304], [0, 0]]]], [[9, 11, 4, 3, 4], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [297189/262144, 
1188757/1048576]]]], [[9, 11, 4, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x = -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-1, -1], [-1196409/4194304, -1196409/4194304], [3, 3]]]], [[9, 15,
9, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152
], [-3, -3]]]], [[9, 15, 9, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-4149659/
2097152, -4149659/2097152], [-583671/524288, -1167341/1048576]]]], [[9, 15, 9,
3, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [775271/1048576, 775271/1048576], [-4149659/2097152, -\
4149659/2097152], [0, 0]]]], [[9, 15, 9, 3, 4], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-\
1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
4149659/2097152, -4149659/2097152], [1167341/1048576, 583671/524288]]]], [[9,
15, 9, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [775271/1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152
], [3, 3]]]], [[9, 17, 2, 2, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [0, 0]
, [-4, -4]]]], [[9, 17, 2, 2, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u,
x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [0, 0]
, [-1532401/524288, -24518415/8388608]]]], [[9, 17, 2, 2, 3], [And(1 < v,v < 2
^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [-4478937/524288, -8957873/1048576], [0, 0], [-7/16777216, -7/16777216
]]]], [[9, 17, 2, 2, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = -u^2+
v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [0, 0], [
3064801/1048576, 1532401/524288]]]], [[9, 17, 2, 2, 5], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/524288,
-8957873/1048576], [0, 0], [4, 4]]]], [[10, 5, 9, 5, 1], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [-1599345/2097152, -1599345/2097152], [-2, -2]]]
], [[10, 5, 9, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1)
, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [-\
1599345/2097152, -1599345/2097152], [-1074731/2097152, -537365/1048576]]]], [[
10, 5, 9, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And
(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/
2, 1/2], [-1599345/2097152, -1599345/2097152], [0, 0]]]], [[10, 5, 9, 5, 4], [
v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [1/2, 1/2], [-1599345/2097152, -1599345/
2097152], [537365/1048576, 268683/524288]]]], [[10, 5, 9, 5, 5], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304
, -6598195/4194304], [1/2, 1/2], [-1599345/2097152, -1599345/2097152], [2, 2]]
]], [[10, 7, 5, 9, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1
), -x < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [2,
2], [0, 0]]]], [[10, 11, 7, 4, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x
< -u^2+1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [3/8, 3/8], [-3/8, -3/8], [-1, -1]]]], [[10, 11, 7, 4, 2], [v = 2^
(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = -x, z = 0], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-3/8, -3/8], [0,
0]]]], [[10, 11, 7, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+
1), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1
/2], [3/8, 3/8], [-3/8, -3/8], [1, 1]]]], [[10, 13, 2, 3, 1], [v = 2^(1/2), 
And(1 < u,u < v), x = u^2-3, And(0 < y,y < -2*u^2+4), z < -(-u^2-y+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/1048576, 569265/
1048576], [-3, -3]]]], [[10, 13, 2, 3, 2], [v = 2^(1/2), And(1 < u,u < v), x =
u^2-3, And(0 < y,y < -2*u^2+4), z = -(-u^2-y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683
/2097152, -1617841/1048576], [569265/1048576, 569265/1048576], [-1048577/
1048576, -1]]]], [[10, 13, 2, 3, 3], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3
, And(0 < y,y < -2*u^2+4), And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/1048576, 569265/
1048576], [0, 0]]]], [[10, 13, 2, 3, 4], [v = 2^(1/2), And(1 < u,u < v), x = u
^2-3, And(0 < y,y < -2*u^2+4), z = (-u^2-y+3)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [569265/1048576, 569265/1048576], [1, 1048577/
1048576]]]], [[10, 13, 2, 3, 5], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, 
And(0 < y,y < -2*u^2+4), (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [569265/1048576, 569265/1048576], [3, 3]]]], [[11,
3, 7, 1, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 <
x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-4,
-4], [-3, -3]]]], [[11, 3, 7, 1, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/
524288, 129511/524288], [-4, -4], [-8125459/4194304, -16250917/8388608]]]], [[
11, 3, 7, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [129511/
524288, 129511/524288], [-4, -4], [-5/16777216, -5/16777216]]]], [[11, 3, 7, 1
, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x <
u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [-4, -4],
[507841/262144, 2031365/1048576]]]], [[11, 3, 7, 1, 5], [2^(1/2) < v, And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [129511/524288, 129511/524288], [-4, -4], [3, 3]]]], [[11, 5, 1, 9,
1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, -x < y, z =
z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [4, 4
], [0, 0]]]], [[11, 9, 6, 5, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^
2-2)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[3, 3]
, [-22960369/8388608, -22960369/8388608], [0, 0], [533035/2097152, 533035/
2097152], [0, 0]]]], [[11, 10, 8, 6, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
1, y = 0, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576
], [1, 1], [0, 0], [0, 0]]]], [[11, 17, 1, 7, 1], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [720033/
262144, 720033/262144], [-2, -2]]]], [[11, 17, 1, 7, 2], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [
720033/262144, 720033/262144], [-527729/1048576, -1055457/2097152]]]], [[11, 
17, 1, 7, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(
u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [720033/
262144, 720033/262144], [-1/4194304, -1/4194304]]]], [[11, 17, 1, 7, 4], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072
], [-3, -3], [720033/262144, 720033/262144], [32983/65536, 527729/1048576]]]],
[[11, 17, 1, 7, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1
, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [-3, -3], [720033/262144, 720033/262144], [2, 2
]]]], [[11, 18, 4, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(0 < y,y
< 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 18, 4, 5, 2], [2^(1/2) < v,
u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain
, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[11, 18, 4, 5, 3], [2^(1/2) < v, u = (v^2+1)^(1
/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [1/2, 1/2],
[0, 0]]]], [[11, 18, 4, 5, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(0
< y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[11, 18, 4,
5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2)
< z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [1/2
, 1/2], [2, 2]]]], [[1, 5, 7, 4, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [-265597/1048576, -66399/262144], [-2, -2]]]], [[1, 5, 7, 4
, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851
/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-265597/
1048576, -66399/262144], [-373161/524288, -1492643/2097152]]]], [[1, 5, 7, 4,
3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y
= u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [-265597/1048576, -66399/262144], [-1/4194304, -1/4194304]]
]], [[1, 5, 7, 4, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^
2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3
, -3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304],
[-265597/1048576, -66399/262144], [746321/1048576, 373161/524288]]]], [[1, 5,
7, 4, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-265597
/1048576, -66399/262144], [2, 2]]]], [[1, 7, 4, 1, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-2, -2], [-3, -3]]
]], [[1, 7, 4, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y
< u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]],
[[1, 7, 4, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^
2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[1, 7, 4, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
= -1, y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/
1048576]]]], [[1, 7, 4, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
= -1, y < u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[1, 11, 7, 3, 1],
[v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0
, 0], [1/2, 1/2], [-11/2, -11/2], [-4, -4]]]], [[1, 11, 7, 3, 2], [v < -2^(1/2
), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/
2], [-11/2, -11/2], [-146543/65536, -2344687/1048576]]]], [[1, 11, 7, 3, 3], [
v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), And
(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-11/2, -11/2], [0, 0]]]], [[1,
11, 7, 3, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0
< x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-3, -3], [0, 0], [1/2, 1/2], [-11/2, -11/2], [2344687/1048576, 146543/65536]]]
], [[1, 11, 7, 3, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2))
, And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-11/2, -11/2], [4, 4]]]], [[1,
12, 9, 4, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y = -x, z < 0], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [-2, -2], [-1
, -1]]]], [[1, 12, 9, 4, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y = -x,
z = 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [-2,
-2], [0, 0]]]], [[1, 12, 9, 4, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y
= -x, 0 < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2]
, [-2, -2], [1, 1]]]], [[1, 19, 2, 1, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-2615197/
1048576, -653799/262144], [-1, -1], [-3, -3]]]], [[1, 19, 2, 1, 2], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^
2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-2615197/1048576, -653799/262144], [-1, -1], [-7840147/4194304, -\
3920073/2097152]]]], [[1, 19, 2, 1, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2
-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-2615197/1048576, -653799/262144], [-1, -1], [-1/4194304, -1/
4194304]]]], [[1, 19, 2, 1, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[
-3, -3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144
], [-1, -1], [490009/262144, 1960037/1048576]]]], [[1, 19, 2, 1, 5], [v < -2^(
1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^
2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [-2615197/1048576, -653799/262144], [-1, -1], [3, 3]]]], [[1, 20, 4,
2, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y = -2, z < -3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [-2, -2
], [-3, -3]]]], [[1, 20, 4, 2, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y
= -2, z = -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[1, 20,
4, 2, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z
< 3^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1
, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 20, 4, 2, 4], [v < -2^(1/2)
, u = (v^2+2)^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [-1, -1], [-2, -2], [908093/524288, 1816187
/1048576]]]], [[1, 20, 4, 2, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y =
-2, 3^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288]
, [-1, -1], [-2, -2], [3, 3]]]], [[2, 3, 5, 4, 1], [v = -2^(1/2), And(-2 < u,u
< -3^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [0, 0], [-2, -2]]]], [[2, 3, 5, 4, 2], [v = -2^(1/2), And(-2 < u,u < -3
^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 3, 5, 4, 3], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 3, 5
, 4, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = 0, z
= (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536
]]]], [[2, 3, 5, 4, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x
< 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [0, 0], [2, 2]]]]
, [[2, 4, 9, 3, 1], [v = -2^(1/2), u = -3^(1/2), 1 < x, And(-x-2 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [2, 2], [-3, -3], [-2, -2]]]], [[2, 4, 9,
3, 2], [v = -2^(1/2), u = -3^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [2, 2], [-3, -3], [-1, -1]]]], [[2, 4, 9, 3, 3], [v = -2^(1
/2), u = -3^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [2, 2], [-3, -3], [0, 0]]]], [[2, 4, 9, 3, 4], [v
= -2^(1/2), u = -3^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [-3, -3], [1, 1]]]], [[2, 4, 9, 3, 5], [v = -2^(1/2)
, u = -3^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [
2, 2], [-3, -3], [2, 2]]]], [[2, 7, 3, 7, 1], [v = -2^(1/2), And(v < u,u < -1)
, And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [1093553/1048576, 
1093553/1048576], [-2, -2]]]], [[2, 7, 3, 7, 2], [v = -2^(1/2), And(v < u,u <
-1), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [1093553/1048576, 
1093553/1048576], [-31331/65536, -501295/1048576]]]], [[2, 7, 3, 7, 3], [v = -
2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [1093553/1048576, 1093553/1048576], [0, 0]]]], [[2, 7, 3, 7,
4], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152],
[1093553/1048576, 1093553/1048576], [501295/1048576, 31331/65536]]]], [[2, 7,
3, 7, 5], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(-u^2-x+
1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/
2097152], [1093553/1048576, 1093553/1048576], [2, 2]]]], [[2, 8, 7, 2, 1], [v
= -2^(1/2), u = -1, And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-5/2, -5/2], [-3,
-3]]]], [[2, 8, 7, 2, 2], [v = -2^(1/2), u = -1, And(0 < x,x < 1), y = -x-2, z
= -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1
/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[2, 8, 7, 2, 3
], [v = -2^(1/2), u = -1, And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1
/2], [-5/2, -5/2], [0, 0]]]], [[2, 8, 7, 2, 4], [v = -2^(1/2), u = -1, And(0 <
x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]
]], [[2, 8, 7, 2, 5], [v = -2^(1/2), u = -1, And(0 < x,x < 1), y = -x-2, 2^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2,
1/2], [-5/2, -5/2], [3, 3]]]], [[2, 13, 1, 8, 1], [v = -2^(1/2), And(1 < u,u <
-v), x < u^2-3, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[
2, 13, 1, 8, 2], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = -x, z = 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-3, -3], [3, 3], [0, 0]]]], [[2, 13, 1, 8, 3], [v = -2^(1/2), And(
1 < u,u < -v), x < u^2-3, y = -x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [3, 3], [1, 1]]
]], [[2, 14, 5, 1, 1], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y < -1-x, z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[2, 14, 5, 1, 2]
, [v = -2^(1/2), u = -v, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[2, 14
, 5, 1, 3], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [741455/524288, 1482911/1048576], [1/2, 1/2], [-3, -3], [0, 0]]]], [[2, 14,
5, 1, 4], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911
/1048576], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [[2, 14,
5, 1, 5], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911
/1048576], [1/2, 1/2], [-3, -3], [3, 3]]]], [[3, 1, 3, 8, 1], [And(-2^(1/2) <
v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [11863945/1048576, 5931973/524288], [0,
0]]]], [[3, 2, 5, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1
< x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [1, 1],
[0, 0]]]], [[3, 7, 3, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)
^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [1122493/
1048576, 1122493/1048576], [-2, -2]]]], [[3, 7, 3, 7, 2], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-
x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [1122493/1048576, 1122493/1048576], [-485927/1048576, -\
242963/524288]]]], [[3, 7, 3, 7, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [1122493/1048576, 1122493/1048576], [0, 0]]]], [[3, 7, 3, 7,
4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [1122493/1048576, 1122493/1048576], [
242963/524288, 485927/1048576]]]], [[3, 7, 3, 7, 5], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [1122493/1048576, 1122493/1048576], [2, 2]]]], [[3, 8, 7, 2, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z <
-2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[3, 8, 7, 2,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2,
z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576,
-741455/524288]]]], [[3, 8, 7, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^
(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[3, 8, 7, 2, 4], [And(-2
^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]]
, [[3, 8, 7, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x
< 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-5/2, -5/2], [3, 3]
]]], [[4, 1, 4, 3, 1], [v = -1, u < -3^(1/2), x = -1, And(-u^2+1 < y,y < 0), z
< -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-4, -4], [-4,
-4]]]], [[4, 1, 4, 3, 2], [v = -1, u < -3^(1/2), x = -1, And(-u^2+1 < y,y < 0)
, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-4, -4],
[-146543/65536, -2344687/1048576]]]], [[4, 1, 4, 3, 3], [v = -1, u < -3^(1/2),
x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-4, -4], [0, 0]]]], [[4, 1, 4,
3, 4], [v = -1, u < -3^(1/2), x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)],
[regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-4, -4], [2344687/1048576, 
146543/65536]]]], [[4, 1, 4, 3, 5], [v = -1, u < -3^(1/2), x = -1, And(-u^2+1
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [
-4, -4], [4, 4]]]], [[4, 2, 6, 2, 1], [v = -1, u = -3^(1/2), x = 0, y = -3, z
< -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[0, 0], [-3, -3], [-3, -3]]]], [[4, 2, 6, 2, 2], [v = -1, u = -3^(1/2), x = 0,
y = -3, z = -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[4, 2, 6
, 2, 3], [v = -1, u = -3^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3,
-3], [-1/4194304, -1/4194304]]]], [[4, 2, 6, 2, 4], [v = -1, u = -3^(1/2), x =
0, y = -3, z = 3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[4,
2, 6, 2, 5], [v = -1, u = -3^(1/2), x = 0, y = -3, 3^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3, -\
3], [3, 3]]]], [[4, 7, 3, 9, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x <
-1), -x < y, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8],
[3, 3], [0, 0]]]], [[4, 8, 7, 4, 1], [v = -1, u = 0, And(0 < x,x < 1), y = -x,
z < 0], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]
]], [[4, 8, 7, 4, 2], [v = -1, u = 0, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 8,
7, 4, 3], [v = -1, u = 0, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[
-1, -1], [0, 0], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[4, 14, 7, 9, 1], [v =
-1, u = 3^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[5, 1, 1, 1,
1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, z < -(-x-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [-1, -1], [-5, -\
5]]]], [[5, 1, 1, 1, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-\
1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -\
11], [-1, -1], [-1816187/524288, -3632373/1048576]]]], [[5, 1, 1, 1, 3], [And(
-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [-1
, -1], [0, 0]]]], [[5, 1, 1, 1, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x
< -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3
], [-11, -11], [-1, -1], [3632373/1048576, 1816187/524288]]]], [[5, 1, 1, 1, 5
], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [-1, -1], [5, 5]]]]
, [[5, 5, 4, 1, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1,
y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[5, 5, 4, 1, 2],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+v^2, z = -
(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[5, 5,
4, 1, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+
v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[5, 5, 4, 1, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[5, 5, 4, 1, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2)
< u,u < v), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[5,
6, 7, 5, 1], [And(-1 < v,v < 0), u = v, 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-1, -1], [0, 0]]]], [[5,
9, 4, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u
^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576], [-3, -\
3]]]], [[5, 9, 4, 2, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576]
, [-19417/16384, -1242687/1048576]]]], [[5, 9, 4, 2, 3], [And(-1 < v,v < 0), 
And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576], [0, 0]]]], [[5,
9, 4, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u
^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576], [
1242687/1048576, 19417/16384]]]], [[5, 9, 4, 2, 5], [And(-1 < v,v < 0), And(-v
< u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-\
212079/524288, -424157/1048576], [3, 3]]]], [[5, 10, 7, 6, 1], [And(-1 < v,v <
0), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1/2
, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [0, 0], [0, 0]]]], [[6,
1, 9, 1, 1], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y < -u^2-x-1, z < -(-
x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-16, -16], [-5, -\
5]]]], [[6, 1, 9, 1, 2], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y < -u^2-
x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-16,
-16], [-3555895/1048576, -1777947/524288]]]], [[6, 1, 9, 1, 3], [v = 0, u < -2
^(1/2), And(1 < x,x < u^2-1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-16, -16], [0, 0]]]],
[[6, 1, 9, 1, 4], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y < -u^2-x-1, z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-16, -16], [
1777947/524288, 3555895/1048576]]]], [[6, 1, 9, 1, 5], [v = 0, u < -2^(1/2), 
And(1 < x,x < u^2-1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0]
, [-3, -3], [9/2, 9/2], [-16, -16], [5, 5]]]], [[6, 3, 2, 2, 1], [v = 0, And(-
2^(1/2) < u,u < -1), x = -u^2-1, y = 0, z < -(u^2+1)^(1/2)], [regular_chain, [
[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/1048576, -1288231/
524288], [0, 0], [-3, -3]]]], [[6, 3, 2, 2, 2], [v = 0, And(-2^(1/2) < u,u < -\
1), x = -u^2-1, y = 0, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-2576463/1048576, -1288231/524288], [0, 0], [-\
410915/262144, -3287319/2097152]]]], [[6, 3, 2, 2, 3], [v = 0, And(-2^(1/2) <
u,u < -1), x = -u^2-1, y = 0, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [0, 0], [-1/4194304, -1/4194304]]]], [[6, 3, 2, 2,
4], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y = 0, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [0, 0], [1643659/1048576, 410915/262144]]]], [[6, 3
, 2, 2, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y = 0, (u^2+1)^(1/2)
< z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463
/1048576, -1288231/524288], [0, 0], [3, 3]]]], [[6, 9, 4, 3, 1], [v = 0, And(1
< u,u < 2^(1/2)), x = -1, And(-u^2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-763943
/1048576, -763943/1048576], [-3, -3]]]], [[6, 9, 4, 3, 2], [v = 0, And(1 < u,u
< 2^(1/2)), x = -1, And(-u^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[
0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-763943/1048576, -763943
/1048576], [-689305/524288, -1378609/1048576]]]], [[6, 9, 4, 3, 3], [v = 0, 
And(1 < u,u < 2^(1/2)), x = -1, And(-u^2 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-\
1, -1], [-763943/1048576, -763943/1048576], [0, 0]]]], [[6, 9, 4, 3, 4], [v =
0, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-763943
/1048576, -763943/1048576], [1378609/1048576, 689305/524288]]]], [[6, 9, 4, 3,
5], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2 < y,y < 0), (1-y)^(1/2) <
z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
763943/1048576, -763943/1048576], [3, 3]]]], [[6, 10, 6, 2, 1], [v = 0, u = 2^
(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[6, 10, 6, 2, 2], [v = 0, u
= 2^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[6, 10, 6, 2, 3], [v = 0, u = 2^(1/2), x = 0, y = -3, And(-3^(1/
2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576
], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[6, 10, 6, 2, 4], [v = 0, u
= 2^(1/2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]
], [[6, 10, 6, 2, 5], [v = 0, u = 2^(1/2), x = 0, y = -3, 3^(1/2) < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [-3, -3], [3
, 3]]]], [[7, 3, 7, 4, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -x, z < 0], [regular_chain, [[1/2, 1
/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-\
243021/1048576, -243021/1048576], [-1, -1]]]], [[7, 3, 7, 4, 2], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y
= -x, z = 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/1048576, 243021/1048576], [-243021/1048576, -243021/1048576], [0, 0]]]]
, [[7, 3, 7, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(0 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-243021/
1048576, -243021/1048576], [1, 1]]]], [[7, 5, 2, 3, 1], [And(0 < v,v < 1), And
(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z < -
(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [-736367/524288, -1472733/1048576], [424157/1048576, 424157/1048576
], [-3, -3]]]], [[7, 5, 2, 3, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^2-v^2-y+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/1048576, 424157/1048576], [-1048577/1048576
, -1]]]], [[7, 5, 2, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z < (
u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [-736367/524288, -1472733/1048576], [424157/1048576, 424157/1048576
], [0, 0]]]], [[7, 5, 2, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u <
-v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/1048576, 424157/1048576], [1, 1048577/
1048576]]]], [[7, 5, 2, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/1048576, 424157/1048576], [3, 3]]]], [[8, 1
, 9, 3, 1], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [4, 4], [-17/2, -17/2
], [-4, -4]]]], [[8, 1, 9, 3, 2], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2),
And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3],
[4, 4], [-17/2, -17/2], [-1112183/524288, -2224365/1048576]]]], [[8, 1, 9, 3,
3], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [4, 4],
[-17/2, -17/2], [0, 0]]]], [[8, 1, 9, 3, 4], [v = 1, u < -3^(1/2), And(1 < x,x
< u^2-2), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1],
[-3, -3], [4, 4], [-17/2, -17/2], [2224365/1048576, 1112183/524288]]]], [[8, 1
, 9, 3, 5], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [4, 4], [-17/2, -17/2]
, [4, 4]]]], [[8, 3, 3, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^
2 < x,x < -1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-2,
-2], [-3, -3]]]], [[8, 3, 3, 1, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(-u^2 < x,x < -1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-\
2, -2], [-2027137/1048576, -16217095/8388608]]]], [[8, 3, 3, 1, 3], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [-2, -2], [-7/16777216
, -7/16777216]]]], [[8, 3, 3, 1, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-\
2, -2], [15837/8192, 2027137/1048576]]]], [[8, 3, 3, 1, 5], [v = 1, And(-3^(1/
2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-2, -2], [3, 3]]]], [[8, 7, 9, 4, 1], [v = 1, And
(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x, z < u], [regular_chain, [[1, 1],
[-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [-2, -2]]]], [[8, 7, 9, 4, 2], [v = 1,
And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x, z = u], [regular_chain, [[1,
1], [-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [-1/2, -1/2]]]], [[8, 7, 9, 4, 3],
[v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [0, 0]]]], [[8
, 7, 9, 4, 4], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x, z = -u
], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [1/2, 1/2]
]]], [[8, 7, 9, 4, 5], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -u^2-x
, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-3/4, -3/4], [2
, 2]]]], [[8, 9, 4, 7, 1], [v = 1, And(0 < u,u < 1), x = -1, And(-u^2+1 < y,y
< 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [7/8,
7/8], [-2, -2]]]], [[8, 9, 4, 7, 2], [v = 1, And(0 < u,u < 1), x = -1, And(-u^
2+1 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -\
1], [7/8, 7/8], [-46341/131072, -370727/1048576]]]], [[8, 9, 4, 7, 3], [v = 1,
And(0 < u,u < 1), x = -1, And(-u^2+1 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [7/8, 7/8], [0, 0]]]
], [[8, 9, 4, 7, 4], [v = 1, And(0 < u,u < 1), x = -1, And(-u^2+1 < y,y < 1),
z = (1-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [7/8, 7/8], [
370727/1048576, 46341/131072]]]], [[8, 9, 4, 7, 5], [v = 1, And(0 < u,u < 1),
x = -1, And(-u^2+1 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2
, 1/2], [-1, -1], [7/8, 7/8], [2, 2]]]], [[8, 15, 4, 2, 1], [v = 1, 3^(1/2) <
u, x = -1, y = -u^2+1, z < -u], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-8
, -8], [-4, -4]]]], [[8, 15, 4, 2, 2], [v = 1, 3^(1/2) < u, x = -1, y = -u^2+1
, z = -u], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-8, -8], [-3, -3]]]], [
[8, 15, 4, 2, 3], [v = 1, 3^(1/2) < u, x = -1, y = -u^2+1, And(-u < z,z < u)],
[regular_chain, [[1, 1], [3, 3], [-1, -1], [-8, -8], [0, 0]]]], [[8, 15, 4, 2,
4], [v = 1, 3^(1/2) < u, x = -1, y = -u^2+1, z = u], [regular_chain, [[1, 1],
[3, 3], [-1, -1], [-8, -8], [3, 3]]]], [[8, 15, 4, 2, 5], [v = 1, 3^(1/2) < u,
x = -1, y = -u^2+1, u < z], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-8, -8
], [4, 4]]]], [[9, 1, 6, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [0, 0], [6860721/2097152, 6860721/2097152], [0, 0]
]]], [[9, 5, 9, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v)
, And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-1606915/2097152, -1606915/2097152], [-2, -2]]]
], [[9, 5, 9, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-1606915/2097152, -1606915/2097152], [-270523/
524288, -1082091/2097152]]]], [[9, 5, 9, 5, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-1606915/
2097152, -1606915/2097152], [-1/4194304, -1/4194304]]]], [[9, 5, 9, 5, 4], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(
u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-1606915/
2097152, -1606915/2097152], [541045/1048576, 270523/524288]]]], [[9, 5, 9, 5,
5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1),
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [
-1606915/2097152, -1606915/2097152], [2, 2]]]], [[9, 7, 6, 4, 1], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [0, 0], [-2, -2
]]]], [[9, 7, 6, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)
), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [0, 0], [-1374407/2097152, -687203/1048576]]]], [[9,
7, 6, 4, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2
+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [0, 0], [0, 0]]]], [[9, 7
, 6, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+
v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [0, 0], [687203/1048576, 171801/262144]]]], [[9, 7, 6, 4, 5],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [0, 0
], [2, 2]]]], [[9, 9, 7, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = 0, z = z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 239655/1048576
], [0, 0], [0, 0]]]], [[9, 11, 3, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-299103/1048576, -\
149551/524288], [-3, -3]]]], [[9, 11, 3, 2, 2], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-299103/
1048576, -149551/524288], [-1314069/1048576, -328517/262144]]]], [[9, 11, 3, 2
, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x
,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [-299103/1048576, -\
149551/524288], [0, 0]]]], [[9, 11, 3, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^
2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-299103/
1048576, -149551/524288], [328517/262144, 1314069/1048576]]]], [[9, 11, 3, 2,
5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x
< -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304
, -5390713/4194304], [-299103/1048576, -149551/524288], [3, 3]]]], [[9, 15, 9,
5, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
u^2-v^2-1 < x,x < 1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [775271/
1048576, 775271/1048576], [-1048577/2097152, -1048577/2097152], [0, 0]]]], [[9
, 17, 3, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x
,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-5
, -5], [-5, -5]]]], [[9, 17, 3, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-5, -5], [-3277777/1048576, -204861/65536]]]], [[9, 17,
3, 1, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -\
1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [-5, -5], [0, 0]]]], [[9, 17, 3, 1, 4], [And(1 < v,v < 2^(1/2)), (v^
2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-5, -5], [204861/65536, 3277777/1048576]]]], [[9
, 17, 3, 1, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x
,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-5
, -5], [5, 5]]]], [[10, 5, 7, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 
And(u^2-3 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [34423/262144, 34423/262144], [-2, -2]]]],
[[10, 5, 7, 7, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0
), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [34423/262144, 34423/262144], [-47497/131072, -379975/
1048576]]]], [[10, 5, 7, 7, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^
2-3 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [-1101539/4194304, -1101539/4194304], [34423/262144, 34423/262144],
[0, 0]]]], [[10, 5, 7, 7, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-\
3 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/
4194304, -1101539/4194304], [34423/262144, 34423/262144], [379975/1048576, 
47497/131072]]]], [[10, 5, 7, 7, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 
And(u^2-3 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [34423/262144, 34423/262144], [2, 2]]]], [
[10, 7, 4, 8, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = 1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1, -1], [1, 1], [-1, -1]]]], [[10, 7, 4, 8, 2], [v = 2^(1/2), And(
-v < u,u < -1), x = -1, y = 1, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0,
0]]]], [[10, 7, 4, 8, 3], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = 1, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[10, 11, 7, 6, 1], [v = 2^(1/2
), And(0 < u,u < 1), And(0 < x,x < -u^2+1), y = 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [3/8, 3/8], [0, 0], [0, 0]]]], [[
10, 13, 3, 2, 1], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = u
^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
-284633/1048576, -35579/131072], [-3, -3]]]], [[10, 13, 3, 2, 2], [v = 2^(1/2)
, And(1 < u,u < v), And(u^2-3 < x,x < -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/
131072], [-1302471/1048576, -651235/524288]]]], [[10, 13, 3, 2, 3], [v = 2^(1/
2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2)
< z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
284633/1048576, -35579/131072], [0, 0]]]], [[10, 13, 3, 2, 4], [v = 2^(1/2), 
And(1 < u,u < v), And(u^2-3 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/
131072], [651235/524288, 1302471/1048576]]]], [[10, 13, 3, 2, 5], [v = 2^(1/2)
, And(1 < u,u < v), And(u^2-3 < x,x < -1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-284633/1048576, -35579/
131072], [3, 3]]]], [[11, 3, 6, 2, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
2615197/1048576, -653799/262144], [-3, -3]]]], [[11, 3, 6, 2, 2], [2^(1/2) < v
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2
-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[0, 0], [-2615197/1048576, -653799/262144], [-1655969/1048576, -3311937/
2097152]]]], [[11, 3, 6, 2, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0]
, [-2615197/1048576, -653799/262144], [-1/4194304, -1/4194304]]]], [[11, 3, 6,
2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u
^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [0, 0], [-2615197/1048576, -653799/262144], [51749/32768, 
1655969/1048576]]]], [[11, 3, 6, 2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
2615197/1048576, -653799/262144], [3, 3]]]], [[11, 5, 1, 7, 1], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-3, -3], [720033/262144, 720033/262144], [-2, -2]]]], [[11, 5, 1, 7, 2], [2^(1
/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-3, -3], [720033/262144, 720033/262144], [-527729/1048576, -1055457/
2097152]]]], [[11, 5, 1, 7, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3],
[720033/262144, 720033/262144], [-1/4194304, -1/4194304]]]], [[11, 5, 1, 7, 4]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(u^2-v^2-x-\
1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-3, -3], [720033/262144, 720033/262144], [32983/65536, 527729
/1048576]]]], [[11, 5, 1, 7, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [720033/262144, 720033/
262144], [2, 2]]]], [[11, 9, 7, 8, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [133259/524288, 266519/1048576], [0, 0]]]], [[11, 11
, 1, 4, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v
^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0,
0], [-11, -11], [1, 1], [-5, -5]]]], [[11, 11, 1, 4, 2], [2^(1/2) < v, And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11, -11], [1, 1], [-3315889
/1048576, -207243/65536]]]], [[11, 11, 1, 4, 3], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-11, -11
], [1, 1], [0, 0]]]], [[11, 11, 1, 4, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u
,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[3, 3], [0, 0], [-11, -11], [1, 1], [207243/65536, 3315889/
1048576]]]], [[11, 11, 1, 4, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [1, 1], [5, 5]]]], [[11, 17, 1, 1,
1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-
x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3]
, [-1, -1], [-3, -3]]]], [[11, 17, 1, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2+
1)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [-3, -3], [-1, -1], [-2, -2]]]], [[11, 17, 1,
1, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-3, -3], [-1, -1], [0, 0]]]], [[11, 17, 1, 1, 4], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [-1, -1], [2
, 2]]]], [[11, 17, 1, 1, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -
u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [-3, -3], [-1, -1], [3, 3]]]], [[11, 18, 4, 3, 1], [2^(1/2) <
v, u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2, -1/2
], [-3, -3]]]], [[11, 18, 4, 3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, 
And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]
], [[11, 18, 4, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(-1 < y,y <
0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[11, 18, 4, 3, 4]
, [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)]
, [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2, -\
1/2], [642119/524288, 1284239/1048576]]]], [[11, 18, 4, 3, 5], [2^(1/2) < v, u
= (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]], [
[1, 1, 10, 5, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-u^2+v
^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [-15/2
, -15/2], [0, 0]]]], [[1, 3, 3, 8, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [1174965/524288, 2349931/1048576], [0, 0]]]], [[1, 7,
10, 6, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, z < 0]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-1
, -1], [-1, -1]]]], [[1, 7, 10, 6, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-1, -1], [0, 0]]]], [[1, 7, 10, 6, 3], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [1, 1], [-1, -1], [1, 1]]]], [[1, 9
, 5, 5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1
< x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]],
[[1, 9, 5, 5, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [1/4, 1/4], [-1/2
, -1/2]]]], [[1, 9, 5, 5, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-\
2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 9, 5, 5, 4], [v < -2^(1/2), And(-(
v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1, 9, 5, 5, 5], [v < -2^(
1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), And(0 < y
,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 15, 1, 8, 1], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = -x, z < 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [3, 3]
, [-1, -1]]]], [[1, 15, 1, 8, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v)
, x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-3, -3], [3, 3], [0, 0]]]], [[1, 15, 1, 8, 3], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = -x, 0 < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [3, 3]
, [1, 1]]]], [[1, 16, 5, 1, 1], [v < -2^(1/2), u = -v, And(0 < x,x < 1), y < -\
1-x, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-3, -\
3], [-3, -3]]]], [[1, 16, 5, 1, 2], [v < -2^(1/2), u = -v, And(0 < x,x < 1), y
< -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-3
, -3], [-3315889/2097152, -207243/131072]]]], [[1, 16, 5, 1, 3], [v < -2^(1/2)
, u = -v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-3, -3], [0, 0]]]], [[1, 16,
5, 1, 4], [v < -2^(1/2), u = -v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[1, 16, 5, 1, 5], [v < -2^(1/2), u = -v, And(0 < x,x < 1
), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2],
[-3, -3], [3, 3]]]], [[1, 21, 1, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [5
, 5], [-18, -18], [51/2, 51/2], [0, 0]]]], [[2, 1, 3, 8, 1], [v = -2^(1/2), u
< -2, And(-u^2+1 < x,x < -1), y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [21/2, 21/2], [0, 0]]]], [[2
, 10, 9, 4, 1], [v = -2^(1/2), u = 0, 1 < x, y = -x, z < 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[2
, 10, 9, 4, 2], [v = -2^(1/2), u = 0, 1 < x, y = -x, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-2, -2], [0, 0]]]], [[2,
10, 9, 4, 3], [v = -2^(1/2), u = 0, 1 < x, y = -x, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[2, 12
, 2, 5, 1], [v = -2^(1/2), u = 1, x = -2, 2 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-2, -2], [3, 3], [0, 0]]]], [[2, 17
, 2, 1, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y < 0, z < -(u^
2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-3,
-3]]]], [[2, 17, 2, 1, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1,
y < 0, z = -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576
], [-1, -1], [-3913339/2097152, -3913339/2097152]]]], [[2, 17, 2, 1, 3], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y < 0, And(-(u^2-y-1)^(1/2) < z,
z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -1
], [-1/4194304, -1/4194304]]]], [[2, 17, 2, 1, 4], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-650655
/262144, -2602619/1048576], [-1, -1], [1956669/1048576, 978335/524288]]]], [[2
, 17, 2, 1, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y < 0, (u^2
-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -1
], [3, 3]]]], [[2, 18, 4, 2, 1], [v = -2^(1/2), u = 2, x = -1, y = -2, z < -3^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1],
[-2, -2], [-3, -3]]]], [[2, 18, 4, 2, 2], [v = -2^(1/2), u = 2, x = -1, y = -2
, z = -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[2, 18, 4, 2, 3]
, [v = -2^(1/2), u = 2, x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-2, -2]
, [-1/4194304, -1/4194304]]]], [[2, 18, 4, 2, 4], [v = -2^(1/2), u = 2, x = -1
, y = -2, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
2, 2], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[2, 18, 4, 2,
5], [v = -2^(1/2), u = 2, x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-2, -2], [3, 3]]]], [[3,
4, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, And(-x-2 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [2, 2], [-3, -3], [-2, -2]]]], [
[3, 4, 9, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, And(-x-\
2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-3, -3], [-1, -\
1]]]], [[3, 4, 9, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x,
And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [
2, 2], [-3, -3], [0, 0]]]], [[3, 4, 9, 3, 4], [And(-2^(1/2) < v,v < -1), u = -
(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2,
2], [-3, -3], [1, 1]]]], [[3, 4, 9, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2
], [-3, -3], [2, 2]]]], [[3, 6, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = v, 
And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2]
, [-2, -2], [-3, -3]]]], [[3, 6, 3, 1, 2], [And(-2^(1/2) < v,v < -1), u = v, 
And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2]
, [-2, -2], [-3315889/2097152, -207243/131072]]]], [[3, 6, 3, 1, 3], [And(-2^(
1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[3, 6,
3, 1, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y < -1-x, z = (
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743
/1048576, -1265743/1048576], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/
1048576]]]], [[3, 6, 3, 1, 5], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x
< 0), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-2, -2]
, [3, 3]]]], [[3, 11, 2, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-\
1646781/1048576, -3293561/2097152], [0, 0], [-3, -3]]]], [[3, 11, 2, 2, 2], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [0,
0], [-1314069/1048576, -328517/262144]]]], [[3, 11, 2, 2, 3], [And(-2^(1/2) <
v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2
+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -\
3293561/2097152], [0, 0], [0, 0]]]], [[3, 11, 2, 2, 4], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-1646781/1048576, -3293561/2097152], [0, 0], [328517/262144,
1314069/1048576]]]], [[3, 11, 2, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-1646781/1048576, -3293561/2097152], [0, 0], [3, 3]]]], [[3, 12, 5,
4, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[3, 12, 5, 4, 2], [
And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[3, 12, 5, 4, 3], [And
(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 14, 9, 4, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [2, 2], [-2, -2], [-1, -1]]]], [[3, 14, 9, 4, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2+1)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [-2, -2]
, [0, 0]]]], [[3, 14, 9, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2),
1 < x, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [2, 2], [-2, -2], [1, 1]]]], [[3, 16, 2, 5,
1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, And(3 < y,y < 4), z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-3, -3], [7/2, 7/2], [0, 0]]]], [[4, 3, 3, 7, 1], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(-x < y,y < u^2-x-2),
z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [1035335/524288, 1035335/524288], [0, 0]]]
], [[4, 4, 7, 2, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1), y = -x-2, z < -2
^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2,
1/2], [-5/2, -5/2], [-3, -3]]]], [[4, 4, 7, 2, 2], [v = -1, u = -2^(1/2), And(
0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455
/524288]]]], [[4, 4, 7, 2, 3], [v = -1, u = -2^(1/2), And(0 < x,x < 1), y = -x
-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[4, 4, 7, 2, 4
], [v = -1, u = -2^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-5/
2, -5/2], [741455/524288, 1482911/1048576]]]], [[4, 4, 7, 2, 5], [v = -1, u =
-2^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1, -1],
[-1482911/1048576, -741455/524288], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[4,
11, 2, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, And(0 < y,y < 2*u^2-2
), z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1527887/1048576, -763943/524288], [958621/2097152, 958621/2097152]
, [-3, -3]]]], [[4, 11, 2, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, 
And(0 < y,y < 2*u^2-2), z = -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [958621
/2097152, 958621/2097152], [-1048577/1048576, -1]]]], [[4, 11, 2, 3, 3], [v =
-1, And(1 < u,u < 2^(1/2)), x = -u^2, And(0 < y,y < 2*u^2-2), And(-(u^2-y)^(1/
2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [958621/2097152, 958621/
2097152], [0, 0]]]], [[4, 11, 2, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -
u^2, And(0 < y,y < 2*u^2-2), z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [958621
/2097152, 958621/2097152], [1, 1048577/1048576]]]], [[4, 11, 2, 3, 5], [v = -1
, And(1 < u,u < 2^(1/2)), x = -u^2, And(0 < y,y < 2*u^2-2), (u^2-y)^(1/2) < z]
, [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [958621/2097152, 958621/2097152], [3, 3]]]], [[4, 12
, 5, 3, 1], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z <
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [
-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[4, 12, 5, 3, 2], [v = -1, u = 2^(1/2
), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/4, -3/4], [-\
146543/131072, -1172343/1048576]]]], [[4, 12, 5, 3, 3], [v = -1, u = 2^(1/2),
And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2],
[-3/4, -3/4], [0, 0]]]], [[4, 12, 5, 3, 4], [v = -1, u = 2^(1/2), And(-1 < x,x
< 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576,
146543/131072]]]], [[4, 12, 5, 3, 5], [v = -1, u = 2^(1/2), And(-1 < x,x < 0),
And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[5, 1, 7, 4,
1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0],
[regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]]
, [[5, 1, 7, 4, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1),
y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-1/2, -1
/2], [0, 0]]]], [[5, 1, 7, 4, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(
0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1
/2], [-1/2, -1/2], [1, 1]]]], [[5, 2, 9, 5, 1], [And(-1 < v,v < 0), u = -(v^2+
2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1/2, -1/2], [
-3/2, -3/2], [2, 2], [-3/2, -3/2], [0, 0]]]], [[5, 12, 9, 8, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2],
[3/2, 3/2], [2, 2], [0, 0], [0, 0]]]], [[6, 1, 2, 7, 1], [v = 0, u < -2^(1/2),
x = -u^2-1, 2*u^2 < y, z = z], [regular_chain, [[0, 0], [-3, -3], [-10, -10],
[19, 19], [0, 0]]]], [[6, 5, 5, 7, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x
< u^2-1), And(u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0]
, [-1/2, -1/2], [-7/8, -7/8], [1/2, 1/2], [-2, -2]]]], [[6, 5, 5, 7, 2], [v =
0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(u^2-x-1 < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/2, 1/2], [
-1284239/2097152, -642119/1048576]]]], [[6, 5, 5, 7, 3], [v = 0, And(-1 < u,u
< 0), And(-1 < x,x < u^2-1), And(u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/2, 1
/2], [0, 0]]]], [[6, 5, 5, 7, 4], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^
2-1), And(u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1
/2, -1/2], [-7/8, -7/8], [1/2, 1/2], [642119/1048576, 80265/131072]]]], [[6, 5
, 5, 7, 5], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(u^2-x-1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8
], [1/2, 1/2], [2, 2]]]], [[6, 7, 2, 4, 1], [v = 0, And(0 < u,u < 1), x = -u^2
-1, y = 2*u^2, z < -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/
4, -5/4], [1/2, 1/2], [-2, -2]]]], [[6, 7, 2, 4, 2], [v = 0, And(0 < u,u < 1),
x = -u^2-1, y = 2*u^2, z = -(-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/
2], [-5/4, -5/4], [1/2, 1/2], [-1816187/2097152, -3632373/4194304]]]], [[6, 7,
2, 4, 3], [v = 0, And(0 < u,u < 1), x = -u^2-1, y = 2*u^2, And(-(-u^2+1)^(1/2)
< z,z < (-u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [
1/2, 1/2], [-1/8388608, -1/8388608]]]], [[6, 7, 2, 4, 4], [v = 0, And(0 < u,u
< 1), x = -u^2-1, y = 2*u^2, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/
2, 1/2], [-5/4, -5/4], [1/2, 1/2], [908093/1048576, 454047/524288]]]], [[6, 7,
2, 4, 5], [v = 0, And(0 < u,u < 1), x = -u^2-1, y = 2*u^2, (-u^2+1)^(1/2) < z]
, [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [1/2, 1/2], [2, 2]]]], [[
7, 1, 7, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v
^2-x-1 < y, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [9, 9],
[0, 0]]]], [[7, 3, 1, 1, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-1, -1], [-4, -4]]]], [[7
, 3, 1, 1, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [-4, -4], [-1, -1], [-146543/65536, -2344687/
1048576]]]], [[7, 3, 1, 1, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-\
1, -1], [0, 0]]]], [[7, 3, 1, 1, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-1, -1], [2344687/
1048576, 146543/65536]]]], [[7, 3, 1, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [-1, -\
1], [4, 4]]]], [[7, 7, 7, 6, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^
2+v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0,
0], [-3/8, -3/8], [0, 0], [-2, -2]]]], [[7, 7, 7, 6, 2], [And(0 < v,v < 1), 
And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [0, 0], [-1284239/2097152, -\
642119/1048576]]]], [[7, 7, 7, 6, 3], [And(0 < v,v < 1), And(-v < u,u < v), 
And(-u^2+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [0, 0], [0, 0]]]], [[7, 7, 7
, 6, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y =
0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [0, 0],
[642119/1048576, 80265/131072]]]], [[7, 7, 7, 6, 5], [And(0 < v,v < 1), And(-v
< u,u < v), And(-u^2+v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [0, 0], [-3/8, -3/8], [0, 0], [2, 2]]]], [[7, 9, 4, 3, 1], [And(0
< v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152]
, [-1, -1], [-424157/2097152, -424157/2097152], [-3, -3]]]], [[7, 9, 4, 3, 2],
[And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [-424157/2097152, -424157/2097152], [-143717/131072, -\
1149735/1048576]]]], [[7, 9, 4, 3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2
))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1]
, [-424157/2097152, -424157/2097152], [0, 0]]]], [[7, 9, 4, 3, 4], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
1, -1], [-424157/2097152, -424157/2097152], [1149735/1048576, 143717/131072]]]
], [[7, 9, 4, 3, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1,
And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152
], [3, 3]]]], [[7, 11, 5, 6, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[1/2, 1/2]
, [343151/262144, 343151/262144], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[7,
11, 5, 6, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[7, 11, 5, 6, 3], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -
x, 0 < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2,
-1/2], [1/2, 1/2], [1, 1]]]], [[7, 12, 8, 2, 1], [And(0 < v,v < 1), u = (v^2+2
)^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2]
, [1, 1], [-4, -4], [-3, -3]]]], [[7, 12, 8, 2, 2], [And(0 < v,v < 1), u = (v^
2+2)^(1/2), x = 1, y = -4, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3
/2], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[7, 12, 8, 2,
3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z <
3^(1/2))], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-4, -4], [-1/
4194304, -1/4194304]]]], [[7, 12, 8, 2, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/
2), x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1,
1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[7, 12, 8, 2, 5], [And(0 <
v,v < 1), u = (v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[1/
2, 1/2], [3/2, 3/2], [1, 1], [-4, -4], [3, 3]]]], [[8, 3, 9, 2, 1], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, z < u], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [-1684075/524288, -3368149/1048576], [-3, -3]]]], [[8, 3,
9, 2, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = -u
^2-x, z = u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [-1684075/524288, -3368149/1048576], [-\
1649549/1048576, -3299097/2097152]]]], [[8, 3, 9, 2, 3], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [-1684075/524288, -3368149/1048576], [-1/4194304, -1/
4194304]]]], [[8, 3, 9, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2
-2 < x,x < 1), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-1684075/524288, -\
3368149/1048576], [412387/262144, 1649549/1048576]]]], [[8, 3, 9, 2, 5], [v =
1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, -u < z],
[regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/
2097152, 1546383/2097152], [-1684075/524288, -3368149/1048576], [3, 3]]]], [[8
, 5, 4, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1),
z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [239655/1048576, 239655/1048576], [-2, -2]]]], [[8, 5, 4,
5, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), z = -(1
-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1
, -1], [239655/1048576, 239655/1048576], [-460493/524288, -7367887/8388608]]]]
, [[8, 5, 4, 5, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^
2-1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576]
, [-7/16777216, -7/16777216]]]], [[8, 5, 4, 5, 4], [v = 1, And(-2^(1/2) < u,u
< -1), x = -1, And(0 < y,y < u^2-1), z = (1-y)^(1/2)], [regular_chain, [[1, 1]
, [-1265743/1048576, -1265743/1048576], [-1, -1], [239655/1048576, 239655/
1048576], [920985/1048576, 460493/524288]]]], [[8, 5, 4, 5, 5], [v = 1, And(-2
^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
239655/1048576, 239655/1048576], [2, 2]]]], [[8, 11, 7, 5, 1], [v = 1, And(1 <
u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [-35579/262144, -35579/262144], [-2, -2]]]], [[8, 
11, 7, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(u^2-x-\
2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/
262144], [-669095/1048576, -1338189/2097152]]]], [[8, 11, 7, 5, 3], [v = 1, 
And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/
262144], [-1/4194304, -1/4194304]]]], [[8, 11, 7, 5, 4], [v = 1, And(1 < u,u <
2^(1/2)), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [-35579/262144, -35579/262144], [334547/524288, 669095/
1048576]]]], [[8, 11, 7, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,
x < 0), And(u^2-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-35579
/262144, -35579/262144], [2, 2]]]], [[8, 13, 3, 1, 1], [v = 1, And(2^(1/2) < u
,u < 3^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [-2, -2], [-3, -3]]]], [[8, 13, 3, 1, 2], [v = 1, And(2^(1/
2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [-2, -2], [-16217095/8388608, -8108547/4194304]]]], [[8, 13
, 3, 1, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y < -u
^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-2,
-2], [-3/8388608, -3/8388608]]]], [[8, 13, 3, 1, 4], [v = 1, And(2^(1/2) < u,u
< 3^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [-2, -2], [15837/8192, 2027137/1048576]]]], [[8, 13, 3, 1,
5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, (-
x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[-3643533/2097152, -3643533/2097152], [-2, -2], [3, 3]]]], [[9, 2, 1, 6, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [4, 4], [-1, -1]]]], [[9, 2, 1, 6, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4,
-4], [4, 4], [0, 0]]]], [[9, 2, 1, 6, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2
)^(1/2), x < -3, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [4, 4], [1, 1]]]], [
[9, 3, 6, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0,
0], [-1299559/524288, -2599117/1048576], [-3, -3]]]], [[9, 3, 6, 2, 2], [And(1
< v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+
v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-1299559/524288, -\
2599117/1048576], [-3301741/2097152, -825435/524288]]]], [[9, 3, 6, 2, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y =
-u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608],
[0, 0], [-1299559/524288, -2599117/1048576], [0, 0]]]], [[9, 3, 6, 2, 4], [And
(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u
^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-1299559/524288, -\
2599117/1048576], [825435/524288, 1650871/1048576]]]], [[9, 3, 6, 2, 5], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^
2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-1299559/524288, -\
2599117/1048576], [3, 3]]]], [[9, 13, 7, 8, 1], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-139585/524288, -139585/524288], [139585/524288, 139585/524288], [-\
1, -1]]]], [[9, 13, 7, 8, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(
1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288
, -139585/524288], [139585/524288, 139585/524288], [0, 0]]]], [[9, 13, 7, 8, 3
], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [139585/
524288, 139585/524288], [1, 1]]]], [[9, 15, 3, 4, 1], [And(1 < v,v < 2^(1/2)),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [0, 0], [-3, -3]
]]], [[9, 15, 3, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [0, 0], [-1382911/1048576, -\
691455/524288]]]], [[9, 15, 3, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [0, 0], [
0, 0]]]], [[9, 15, 3, 4, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [0, 0], [691455/524288, 1382911
/1048576]]]], [[9, 15, 3, 4, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [0, 0], [3, 3]]]], [[10, 2, 1,
9, 1], [v = 2^(1/2), u = -2, x < -3, 1-x < y, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [-2, -2], [-4, -4], [6, 6], [0, 0]]]], [[10, 3, 6,
5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(0 < y,y < u^2-3), z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [0, 0], [505467/2097152, 505467/2097152], [0, 0]]]], [[10, 9
, 7, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^2+1), -u^2-x+1 <
y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3
/8, 3/8], [2, 2], [0, 0]]]], [[10, 11, 1, 5, 1], [v = 2^(1/2), And(0 < u,u < 1
), x < u^2-3, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [21/8, 21/8], [-3, -3]]
]], [[10, 11, 1, 5, 2], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(u^2-x-3
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-4, -4], [21/8, 21/8], [-1229565/1048576, -307391/
262144]]]], [[10, 11, 1, 5, 3], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And
(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [21/8, 21/8], [0, 0
]]]], [[10, 11, 1, 5, 4], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(u^2-x
-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-4, -4], [21/8, 21/8], [307391/262144, 1229565/1048576]
]]], [[10, 11, 1, 5, 5], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(u^2-x-\
3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-4, -4], [21/8, 21/8], [3, 3]]]], [[10, 15, 7, 8, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/1048576, 275385/1048576]
, [-1, -1]]]], [[10, 15, 7, 8, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u
^2-3 < x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [275385/1048576, 275385/1048576], [0, 0]]]], [[10, 15, 7, 8, 3], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/1048576, 275385/1048576]
, [1, 1]]]], [[10, 17, 3, 4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^
2+1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [0, 0], [-3, -3]]]], [[10, 17, 3, 4, 2], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [-1383575/1048576, -\
691787/524288]]]], [[10, 17, 3, 4, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), 
And(-u^2+1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [0, 0]]]], [[10, 17, 3
, 4, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [
691787/524288, 1383575/1048576]]]], [[10, 17, 3, 4, 5], [v = 2^(1/2), And(3^(1
/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [0, 0], [3, 3]]]], [[10, 19, 2, 5, 1], [v
= 2^(1/2), 2 < u, x = -u^2+1, And(u^2-1 < y,y < 2*u^2-4), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [11, 11],
[0, 0]]]], [[11, 1, 5, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x <
0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [
-1/2, -1/2], [-18, -18], [-6, -6]]]], [[11, 1, 5, 1, 2], [2^(1/2) < v, u < -(v
^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-18, -18], [-281881/65536, -\
4510095/1048576]]]], [[11, 1, 5, 1, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(
-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-18, -18], [0, 0]]]], [[11, 1
, 5, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-
x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-18,
-18], [4510095/1048576, 281881/65536]]]], [[11, 1, 5, 1, 5], [2^(1/2) < v, u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-18, -18], [6, 6]]]], [[11, 5
, 7, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x
< 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0], [-2, -2]]]], [[
11, 5, 7, 6, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 <
x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0], [-527729/1048576
, -1055457/2097152]]]], [[11, 5, 7, 6, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) <
u,u < -v), And(u^2-v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2)
)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 5, 7, 6
, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0),
y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1062385/4194304, -1062385/4194304], [0, 0], [32983/65536, 527729/
1048576]]]], [[11, 5, 7, 6, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [0, 0],
[2, 2]]]], [[11, 7, 4, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x
= -1, And(-u^2+v^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [1580581/2097152, 1580581/
2097152], [-2, -2]]]], [[11, 7, 4, 7, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1
)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain,
[[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [1580581/2097152, 
1580581/2097152], [-16263/32768, -520415/1048576]]]], [[11, 7, 4, 7, 3], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), And(
-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [0, 0]]]],
[[11, 7, 4, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(-
u^2+v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [
520415/1048576, 16263/32768]]]], [[11, 7, 4, 7, 5], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
1580581/2097152, 1580581/2097152], [2, 2]]]], [[11, 12, 9, 8, 1], [2^(1/2) < v
, u = (v^2-2)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [2774271/
1048576, 10837/4096], [2, 2], [0, 0], [0, 0]]]], [[11, 14, 4, 1, 1], [2^(1/2)
< v, u = (v^2-1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[3
, 3], [741455/262144, 2965821/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[11,
14, 4, 1, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2
)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-2,
-2], [-1816187/1048576, -3632373/2097152]]]], [[11, 14, 4, 1, 3], [2^(1/2) < v
, u = (v^2-1)^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-2, -2],
[-1/4194304, -1/4194304]]]], [[11, 14, 4, 1, 4], [2^(1/2) < v, u = (v^2-1)^(1/
2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144,
2965821/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[
11, 14, 4, 1, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y < -1, (1-y)^(1/2)
< z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-2
, -2], [3, 3]]]], [[11, 19, 2, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(
1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/
1048576, -653799/262144], [653799/524288, 653799/524288], [-3, -3]]]], [[11, 
19, 2, 3, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2
+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144]
, [653799/524288, 653799/524288], [-1170947/1048576, -585473/524288]]]], [[11,
19, 2, 3, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2
+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+
1)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-\
2615197/1048576, -653799/262144], [653799/524288, 653799/524288], [0, 0]]]], [
[11, 19, 2, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain
, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/
262144], [653799/524288, 653799/524288], [585473/524288, 1170947/1048576]]]],
[[11, 19, 2, 3, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576,
-653799/262144], [653799/524288, 653799/524288], [3, 3]]]], [[11, 20, 4, 8, 1]
, [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-1, -1], [2, 2], [0, 0]]]], [[1, 5, 7,
5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/
524288, -66399/524288], [-2, -2]]]], [[1, 5, 7, 5, 2], [v < -2^(1/2), And(-(v^
2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-1062385/4194304, -1062385/4194304], [-66399/524288, -66399/524288], [-\
1292667/2097152, -646333/1048576]]]], [[1, 5, 7, 5, 3], [v < -2^(1/2), And(-(v
^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-66399/524288,
-66399/524288], [0, 0]]]], [[1, 5, 7, 5, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(
1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [-66399/524288, -66399/524288], [646333/1048576, 
323167/524288]]]], [[1, 5, 7, 5, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [-66399/524288, -66399/524288], [2, 2]]]], [[1, 7, 4, 2, 1]
, [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-1064009/2097152, -133001/262144], [-3, -3]]]], [[1, 7, 4
, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z
= -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-1, -1], [-1064009/2097152, -133001/262144], [-1287385/1048576, -\
160923/131072]]]], [[1, 7, 4, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/
2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
-1064009/2097152, -133001/262144], [0, 0]]]], [[1, 7, 4, 2, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [160923/131072, 1287385/1048576]]]], [[1, 7,
4, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, (
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [-1, -1], [-1064009/2097152, -133001/262144], [3, 3]]]], [[1, 11, 7
, 2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x
< 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0
, 0], [1/2, 1/2], [-21/2, -21/2], [-5, -5]]]], [[1, 11, 7, 2, 2], [v < -2^(1/2
), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-\
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-\
21/2, -21/2], [-3315889/1048576, -207243/65536]]]], [[1, 11, 7, 2, 3], [v < -2
^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y = u^2-v
^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [0, 0], [1/2, 1/2], [-21/2, -21/2], [0, 0]]]], [[1, 11, 7, 2, 4], [
v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y =
u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [1/2,
1/2], [-21/2, -21/2], [207243/65536, 3315889/1048576]]]], [[1, 11, 7, 2, 5], [
v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1), y =
u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1/2,
1/2], [-21/2, -21/2], [5, 5]]]], [[1, 12, 9, 3, 1], [v < -2^(1/2), u = (v^2-2)
^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[1, 12
, 9, 3, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2,
2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]], [[1, 12, 9, 3, 3], [v
< -2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [2, 2], [-7/2, -7/2], [0, 0]]]], [[1, 12, 9, 3, 4], [v < -2^(1/2), u =
(v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [-7/2, -7/2], [642119/524288
, 1284239/1048576]]]], [[1, 12, 9, 3, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), 1
< x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [2, 2], [-7/2, -7/2], [3, 3]]]], [[1, 19, 2, 2,
1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y
= 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-3, -3]]]], [[1
, 19, 2, 2, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -
u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811
/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-\
1655969/1048576, -3311937/2097152]]]], [[1, 19, 2, 2, 3], [v < -2^(1/2), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576,
3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-1/4194304, -1/
4194304]]]], [[1, 19, 2, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3
, -3], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144],
[0, 0], [51749/32768, 1655969/1048576]]]], [[1, 19, 2, 2, 5], [v < -2^(1/2), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-\
2615197/1048576, -653799/262144], [0, 0], [3, 3]]]], [[1, 20, 4, 3, 1], [v < -
2^(1/2), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [-1, -1
], [-3, -3]]]], [[1, 20, 4, 3, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, 
And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-1, -1], [-1, -1], [-1482911/1048576, -741455/
524288]]]], [[1, 20, 4, 3, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(-\
2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3
], [3477733/1048576, 1738867/524288], [-1, -1], [-1, -1], [0, 0]]]], [[1, 20,
4, 3, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = (1-
y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1,
-1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[1, 20, 4, 3, 5], [v < -2
^(1/2), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [-1, -1
], [3, 3]]]], [[2, 3, 5, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-\
1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [-33253297/33554432, -33253297/33554432], [-3, -3]]]], [[2, 3, 5, 3, 2]
, [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(-u^2-x+1 < y
,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-33253297/
33554432, -33253297/33554432], [-1280391/1048576, -640195/524288]]]], [[2, 3,
5, 3, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(-u^2
-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [-33253297/33554432, -33253297/33554432], [0, 0]]]], [[2, 3, 5, 3, 4],
[v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(-u^2-x+1 < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-33253297/33554432, -\
33253297/33554432], [640195/524288, 1280391/1048576]]]], [[2, 3, 5, 3, 5], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(-u^2-x+1 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-33253297/33554432, -\
33253297/33554432], [3, 3]]]], [[2, 4, 9, 2, 1], [v = -2^(1/2), u = -3^(1/2),
1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-4, -4], [-3, -3]]]],
[[2, 4, 9, 2, 2], [v = -2^(1/2), u = -3^(1/2), 1 < x, y = -x-2, z = -2^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[2
, 4, 9, 2, 3], [v = -2^(1/2), u = -3^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,
z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [2, 2], [-4, -4], [0, 0]]]], [[2, 4, 9, 2, 4], [v
= -2^(1/2), u = -3^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2]
, [-4, -4], [741455/524288, 1482911/1048576]]]], [[2, 4, 9, 2, 5], [v = -2^(1/
2), u = -3^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-4, -\
4], [3, 3]]]], [[2, 7, 3, 8, 1], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 <
x,x < -1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152],
[166651/131072, 1333209/1048576], [-1, -1]]]], [[2, 7, 3, 8, 2], [v = -2^(1/2)
, And(v < u,u < -1), And(u^2-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [166651/131072, 1333209/1048576], [0, 0]]]
], [[2, 7, 3, 8, 3], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1),
y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [166651/
131072, 1333209/1048576], [1, 1]]]], [[2, 8, 7, 3, 1], [v = -2^(1/2), u = -1,
And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [-2, -2
]]]], [[2, 8, 7, 3, 2], [v = -2^(1/2), u = -1, And(0 < x,x < 1), And(-x-2 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[2, 8, 7, 3, 3], [v
= -2^(1/2), u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1, -1], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[2, 8, 7, 3, 4], [v = -2^(1/2),
u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-3/
2, -3/2], [1, 1]]]], [[2, 8, 7, 3, 5], [v = -2^(1/2), u = -1, And(0 < x,x < 1)
, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[2, 13, 1, 7,
1], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(-u^2-x+1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-3, -3], [2906073/1048576, 2906073/1048576], [-2,
-2]]]], [[2, 13, 1, 7, 2], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(-u
^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [2906073/1048576
, 2906073/1048576], [-501295/1048576, -250647/524288]]]], [[2, 13, 1, 7, 3], [
v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(-u^2-x+1 < y,y < -x), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3, -3], [2906073/1048576, 
2906073/1048576], [0, 0]]]], [[2, 13, 1, 7, 4], [v = -2^(1/2), And(1 < u,u < -
v), x < u^2-3, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3
], [2906073/1048576, 2906073/1048576], [250647/524288, 501295/1048576]]]], [[2
, 13, 1, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(-u^2-x+1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-3, -3], [2906073/1048576, 2906073/
1048576], [2, 2]]]], [[2, 14, 4, 5, 1], [v = -2^(1/2), u = -v, x = 0, 0 < y, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 
1482911/1048576], [0, 0], [1, 1], [0, 0]]]], [[3, 1, 3, 9, 1], [And(-2^(1/2) <
v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [13, 13], [0, 0]]]], [[3, 2, 5, 8, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 1-x, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[3, 7, 3, 6, 1], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1
), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [897307/1048576, 224327/262144], [-2, -2]]]], [[3,
7, 3, 6, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2
-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-2695357/2097152, -2695357/2097152], [897307/1048576, 224327/262144], [-\
1374407/2097152, -687203/1048576]]]], [[3, 7, 3, 6, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-\
1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [897307/1048576, 224327/262144], [0, 0]]]]
, [[3, 7, 3, 6, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/1048576, 
224327/262144], [687203/1048576, 171801/262144]]]], [[3, 7, 3, 6, 5], [And(-2^
(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [897307/1048576, 224327/262144], [2, 2]]]], [[3, 8, 7, 1, 1]
, [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[3, 8, 7
, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y <
-x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-4, -4], [-7846825/4194304
, -980853/524288]]]], [[3, 8, 7, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1
)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [-4, -4], [0, 0]]]], [[3, 8, 7, 1, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[
3, 8, 7, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1
), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-4, -4], [3, 3]]]],
[[4, 1, 4, 2, 1], [v = -1, u < -3^(1/2), x = -1, y = -u^2+1, z < u], [
regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-8, -8], [-4, -4]]]], [[4, 1, 4
, 2, 2], [v = -1, u < -3^(1/2), x = -1, y = -u^2+1, z = u], [regular_chain, [[
-1, -1], [-3, -3], [-1, -1], [-8, -8], [-3, -3]]]], [[4, 1, 4, 2, 3], [v = -1,
u < -3^(1/2), x = -1, y = -u^2+1, And(u < z,z < -u)], [regular_chain, [[-1, -1
], [-3, -3], [-1, -1], [-8, -8], [0, 0]]]], [[4, 1, 4, 2, 4], [v = -1, u < -3^
(1/2), x = -1, y = -u^2+1, z = -u], [regular_chain, [[-1, -1], [-3, -3], [-1,
-1], [-8, -8], [3, 3]]]], [[4, 1, 4, 2, 5], [v = -1, u < -3^(1/2), x = -1, y =
-u^2+1, -u < z], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-8, -8], [4,
4]]]], [[4, 2, 6, 1, 1], [v = -1, u = -3^(1/2), x = 0, y < -3, z < -(-y)^(1/2)
], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [-\
4, -4], [-3, -3]]]], [[4, 2, 6, 1, 2], [v = -1, u = -3^(1/2), x = 0, y < -3, z
= -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152
], [0, 0], [-4, -4], [-2, -2]]]], [[4, 2, 6, 1, 3], [v = -1, u = -3^(1/2), x =
0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [0, 0], [-4, -4], [0, 0]]]], [[4, 2, 6, 1,
4], [v = -1, u = -3^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[-\
1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [-4, -4], [2, 2]]]], [[4
, 2, 6, 1, 5], [v = -1, u = -3^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [-4, -\
4], [3, 3]]]], [[4, 7, 4, 1, 1], [v = -1, And(-1 < u,u < 0), x = -1, y < u^2-1
, z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-2, -\
2], [-3, -3]]]], [[4, 7, 4, 1, 2], [v = -1, And(-1 < u,u < 0), x = -1, y < u^2
-1, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-2,
-2], [-1816187/1048576, -3632373/2097152]]]], [[4, 7, 4, 1, 3], [v = -1, And(-\
1 < u,u < 0), x = -1, y < u^2-1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[4, 7, 4, 1, 4], [v = -1, And(-1 < u,u < 0), x = -1, y < u^2-1,
z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-1, -1], [-2, -2],
[908093/524288, 1816187/1048576]]]], [[4, 7, 4, 1, 5], [v = -1, And(-1 < u,u <
0), x = -1, y < u^2-1, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/
2], [-1, -1], [-2, -2], [3, 3]]]], [[4, 8, 7, 5, 1], [v = -1, u = 0, And(0 < x
,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [0, 0], [1/2, 1
/2], [-1/4, -1/4], [0, 0]]]], [[4, 14, 7, 8, 1], [v = -1, u = 3^(1/2), And(0 <
x,x < 1), y = 1-x, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[4, 15, 11, 9, 1], [v = -1, 3^(1
/2) < u, u^2-2 < x, 0 < y, z = z], [regular_chain, [[-1, -1], [3, 3], [8, 8],
[1, 1], [0, 0]]]], [[5, 5, 4, 2, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/
2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-212079/524288, -\
424157/1048576], [-3, -3]]]], [[5, 5, 4, 2, 2], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[-212079/524288, -424157/1048576], [-19417/16384, -1242687/1048576]]]], [[5, 5
, 4, 2, 3], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = -u^
2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1], [-212079/524288, -\
424157/1048576], [0, 0]]]], [[5, 5, 4, 2, 4], [And(-1 < v,v < 0), And(-(v^2+1)
^(1/2) < u,u < v), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-1, -1],
[-212079/524288, -424157/1048576], [1242687/1048576, 19417/16384]]]], [[5, 5,
4, 2, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = -u^2+
v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-1, -1], [-212079/524288, -424157/1048576], [3, 3]]]], [[5
, 6, 7, 6, 1], [And(-1 < v,v < 0), u = v, 1 < x, y = 0, z = z], [regular_chain
, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [0, 0], [0, 0]]]], [[5, 9, 4, 1, 1], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(
1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [-1, -1], [-2, -2], [-3, -3]]]], [[5, 9, 4, 1, 2], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-\
2, -2], [-1816187/1048576, -3632373/2097152]]]], [[5, 9, 4, 1, 3], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[5, 9, 4,
1, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2
, z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[5, 9, 4,
1, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2
, (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [-2, -2], [3, 3]]]], [[5, 10, 7, 5, 1], [And(-1 < v,v < 0)
, u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [-\
1/4, -1/4], [0, 0]]]], [[6, 1, 9, 2, 1], [v = 0, u < -2^(1/2), And(1 < x,x < u
^2-1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [
9/2, 9/2], [-29/2, -29/2], [-5, -5]]]], [[6, 1, 9, 2, 2], [v = 0, u < -2^(1/2)
, And(1 < x,x < u^2-1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0
, 0], [-3, -3], [9/2, 9/2], [-29/2, -29/2], [-3315889/1048576, -207243/65536]]
]], [[6, 1, 9, 2, 3], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y = -u^2-x-1
, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-3, -3
], [9/2, 9/2], [-29/2, -29/2], [0, 0]]]], [[6, 1, 9, 2, 4], [v = 0, u < -2^(1/
2), And(1 < x,x < u^2-1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[
0, 0], [-3, -3], [9/2, 9/2], [-29/2, -29/2], [207243/65536, 3315889/1048576]]]
], [[6, 1, 9, 2, 5], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y = -u^2-x-1,
(u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-29/2, -29
/2], [5, 5]]]], [[6, 3, 2, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1
, And(0 < y,y < u^2+1), z < -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-2576463/1048576, -1288231/524288], [
1288231/1048576, 1288231/1048576], [-3, -3]]]], [[6, 3, 2, 3, 2], [v = 0, And(
-2^(1/2) < u,u < -1), x = -u^2-1, And(0 < y,y < u^2+1), z = -(u^2-y+1)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [1288231/1048576, 1288231/1048576], [-290561/262144
, -1162243/1048576]]]], [[6, 3, 2, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), x
= -u^2-1, And(0 < y,y < u^2+1), And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))]
, [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [1288231/1048576, 1288231/1048576], [0, 0]]]], [[6,
3, 2, 3, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, And(0 < y,y < u^2+1
), z = (u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-2576463/1048576, -1288231/524288], [1288231/1048576, 1288231/
1048576], [1162243/1048576, 290561/262144]]]], [[6, 3, 2, 3, 5], [v = 0, And(-
2^(1/2) < u,u < -1), x = -u^2-1, And(0 < y,y < u^2+1), (u^2-y+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [1288231/1048576, 1288231/1048576], [3, 3]]]], [[6,
9, 4, 2, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y = -u^2, z < -(u^2+1)^(1
/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [
-1527887/1048576, -763943/524288], [-3, -3]]]], [[6, 9, 4, 2, 2], [v = 0, And(
1 < u,u < 2^(1/2)), x = -1, y = -u^2, z = -(u^2+1)^(1/2)], [regular_chain, [[0
, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-1527887/1048576, -763943
/524288], [-410915/262144, -3287319/2097152]]]], [[6, 9, 4, 2, 3], [v = 0, And
(1 < u,u < 2^(1/2)), x = -1, y = -u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2
))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
1527887/1048576, -763943/524288], [-1/4194304, -1/4194304]]]], [[6, 9, 4, 2, 4
], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y = -u^2, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
1527887/1048576, -763943/524288], [1643659/1048576, 410915/262144]]]], [[6, 9,
4, 2, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y = -u^2, (u^2+1)^(1/2) < z]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
1527887/1048576, -763943/524288], [3, 3]]]], [[6, 10, 6, 1, 1], [v = 0, u = 2^
(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[0, 0], [741455/
524288, 1482911/1048576], [0, 0], [-4, -4], [-3, -3]]]], [[6, 10, 6, 1, 2], [v
= 0, u = 2^(1/2), x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[6, 10, 6, 1,
3], [v = 0, u = 2^(1/2), x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [-4, -4], [
0, 0]]]], [[6, 10, 6, 1, 4], [v = 0, u = 2^(1/2), x = 0, y < -3, z = (-y)^(1/2
)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [-4, -4
], [2, 2]]]], [[6, 10, 6, 1, 5], [v = 0, u = 2^(1/2), x = 0, y < -3, (-y)^(1/2
) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [-4
, -4], [3, 3]]]], [[7, 3, 7, 5, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576,
243021/1048576], [-243021/2097152, -243021/2097152], [0, 0]]]], [[7, 5, 2, 4,
1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u
^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [424157/524288
, 848315/1048576], [-2, -2]]]], [[7, 5, 2, 4, 2], [And(0 < v,v < 1), And(-(v^2
+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
736367/524288, -1472733/1048576], [424157/524288, 848315/1048576], [-1618333/
2097152, -3236665/4194304]]]], [[7, 5, 2, 4, 3], [And(0 < v,v < 1), And(-(v^2+
1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-736367/524288, -1472733/1048576], [424157/524288, 848315/
1048576], [-1/8388608, -1/8388608]]]], [[7, 5, 2, 4, 4], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[-736367/524288, -1472733/1048576], [424157/524288, 848315/1048576], [404583/
524288, 809167/1048576]]]], [[7, 5, 2, 4, 5], [And(0 < v,v < 1), And(-(v^2+1)^
(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/524288, 848315/1048576], [2, 2]]]], [[8, 1,
9, 4, 1], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -x, z < 0], [
regular_chain, [[1, 1], [-3, -3], [4, 4], [-4, -4], [-1, -1]]]], [[8, 1, 9, 4,
2], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -x, z = 0], [regular_chain
, [[1, 1], [-3, -3], [4, 4], [-4, -4], [0, 0]]]], [[8, 1, 9, 4, 3], [v = 1, u
< -3^(1/2), And(1 < x,x < u^2-2), y = -x, 0 < z], [regular_chain, [[1, 1], [-3
, -3], [4, 4], [-4, -4], [1, 1]]]], [[8, 3, 3, 2, 1], [v = 1, And(-3^(1/2) < u
,u < -2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z < u], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576]
, [-1546383/2097152, -773191/1048576], [-3, -3]]]], [[8, 3, 3, 2, 2], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-1546383/2097152, -773191/1048576], [-1649549/
1048576, -3299097/2097152]]]], [[8, 3, 3, 2, 3], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [-1546383/2097152, -773191/1048576], [-1/4194304,
-1/4194304]]]], [[8, 3, 3, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(
-u^2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [-1546383/
2097152, -773191/1048576], [412387/262144, 1649549/1048576]]]], [[8, 3, 3, 2,
5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x,
-u < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
1821767/1048576, -1821767/1048576], [-1546383/2097152, -773191/1048576], [3, 3
]]]], [[8, 7, 9, 3, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x
-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2],
[1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[8, 7, 9, 3, 2], [v = 1, And(-1 < u,u
< 0), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [
[8, 7, 9, 3, 3], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-2 < y,
y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1]
, [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[8, 7, 9, 3, 4], [v = 1,
And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(
1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [1, 1]
]]], [[8, 7, 9, 3, 5], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(u^2-x-\
2 < y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [
1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[8, 9, 4, 6, 1], [v = 1, And(0 < u,u < 1)
, x = -1, y = -u^2+1, z < -u], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1],
[3/4, 3/4], [-2, -2]]]], [[8, 9, 4, 6, 2], [v = 1, And(0 < u,u < 1), x = -1, y
= -u^2+1, z = -u], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/4, 3/4],
[-1/2, -1/2]]]], [[8, 9, 4, 6, 3], [v = 1, And(0 < u,u < 1), x = -1, y = -u^2+
1, And(-u < z,z < u)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/4, 3/
4], [0, 0]]]], [[8, 9, 4, 6, 4], [v = 1, And(0 < u,u < 1), x = -1, y = -u^2+1,
z = u], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/4, 3/4], [1/2, 1/2]]
]], [[8, 9, 4, 6, 5], [v = 1, And(0 < u,u < 1), x = -1, y = -u^2+1, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/4, 3/4], [2, 2]]]], [[8, 15,
4, 3, 1], [v = 1, 3^(1/2) < u, x = -1, And(-u^2+1 < y,y < 0), z < -(1-y)^(1/2)
], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-4, -4], [-4, -4]]]], [[8, 15,
4, 3, 2], [v = 1, 3^(1/2) < u, x = -1, And(-u^2+1 < y,y < 0), z = -(1-y)^(1/2)
], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-4, -4], [-146543/65536, -\
2344687/1048576]]]], [[8, 15, 4, 3, 3], [v = 1, 3^(1/2) < u, x = -1, And(-u^2+
1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1],
[3, 3], [-1, -1], [-4, -4], [0, 0]]]], [[8, 15, 4, 3, 4], [v = 1, 3^(1/2) < u,
x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [3,
3], [-1, -1], [-4, -4], [2344687/1048576, 146543/65536]]]], [[8, 15, 4, 3, 5],
[v = 1, 3^(1/2) < u, x = -1, And(-u^2+1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [-4, -4], [4, 4]]]], [[9, 1, 6, 6, 1
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, y = u^2-v^2-1, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [
6860721/1048576, 3430361/524288], [0, 0]]]], [[9, 5, 9, 4, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/
1048576], [-2, -2]]]], [[9, 5, 9, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)
^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/1048576], [-1530309/
2097152, -382577/524288]]]], [[9, 5, 9, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)
^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-270657/
262144, -1082627/1048576], [0, 0]]]], [[9, 5, 9, 4, 4], [And(1 < v,v < 2^(1/2)
), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^
2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/
1048576], [382577/524288, 765155/1048576]]]], [[9, 5, 9, 4, 5], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, (
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/
1048576], [2, 2]]]], [[9, 7, 6, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z < -(u^2-v^2-y+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-598205/
1048576, -598205/1048576], [-2, -2]]]], [[9, 7, 6, 3, 2], [And(1 < v,v < 2^(1/
2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0
), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [-598205/1048576, -598205/1048576], [-8796092304775/8796093022208, -\
4398046152387/4398046511104]]]], [[9, 7, 6, 3, 3], [And(1 < v,v < 2^(1/2)), 
And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), 
And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-598205/1048576, -598205/1048576], [-3835587
/8796093022208, -3835587/8796093022208]]]], [[9, 7, 6, 3, 4], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y
< 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [-598205/1048576, -598205/1048576], [1048575/1048576, 1]]]], [[9, 7,
6, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^
2-1, And(2*u^2-2*v^2 < y,y < 0), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-598205/1048576, -598205/1048576], [2, 2]]]]
, [[9, 9, 7, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), And(0 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/1048576, 
239655/1048576], [239655/2097152, 239655/2097152], [0, 0]]]], [[9, 11, 3, 3, 1
], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x
< -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713
/4194304, -5390713/4194304], [-149551/1048576, -149551/1048576], [-3, -3]]]],
[[9, 11, 3, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(
u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-149551/1048576, -149551/
1048576], [-313245/262144, -1252979/1048576]]]], [[9, 11, 3, 3, 3], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(u^
2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [-149551/1048576, -149551/1048576], [0, 0]
]]], [[9, 11, 3, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [-149551/1048576, -149551/
1048576], [1252979/1048576, 313245/262144]]]], [[9, 11, 3, 3, 5], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(u^2-v
^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [-149551/1048576, -149551/1048576], [3, 3]]]], [[9, 15, 9, 4
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u
^2-v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/
1048576], [-775271/1048576, -775271/1048576], [-1, -1]]]], [[9, 15, 9, 4, 2],
[And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2
-1 < x,x < 1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-\
775271/1048576, -775271/1048576], [0, 0]]]], [[9, 15, 9, 4, 3], [And(1 < v,v <
2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [775271/1048576, 775271/1048576], [-775271/1048576, -\
775271/1048576], [1, 1]]]], [[9, 17, 2, 7, 1], [And(1 < v,v < 2^(1/2)), (v^2+2
)^(1/2) < u, x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576]
, [17, 17], [0, 0]]]], [[10, 5, 7, 8, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), And(u^2-3 < x,x < 0), y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [34423/131072, 275385/1048576], [-1, -1]]]], [[10, 5, 7, 8,
2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), y = -x, z =
0], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [-1101539/4194304, -1101539/4194304], [34423/131072, 275385/
1048576], [0, 0]]]], [[10, 5, 7, 8, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, And(u^2-3 < x,x < 0), y = -x, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [-1101539/4194304, -\
1101539/4194304], [34423/131072, 275385/1048576], [1, 1]]]], [[10, 7, 4, 9, 1]
, [v = 2^(1/2), And(-v < u,u < -1), x = -1, 1 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1
], [2, 2], [0, 0]]]], [[10, 11, 7, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), And(
0 < x,x < -u^2+1), And(-x < y,y < 0), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [1/2, 1/2], [3/8, 3/8], [-3/16, -3/16], [0, 0]]]], [[10, 13,
3, 1, 1], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y < u^2-x-3,
z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-2,
-2], [-3, -3]]]], [[10, 13, 3, 1, 2], [v = 2^(1/2), And(1 < u,u < v), And(u^2-\
3 < x,x < -1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-2, -2], [-7586297/4194304, -948287/524288]]]], [
[10, 13, 3, 1, 3], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y <
u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-2, -2], [0, 0]]]], [[10, 13, 3, 1, 4], [v = 2^(1
/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y < u^2-x-3, z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-2, -2], [948287/524288, 
1896575/1048576]]]], [[10, 13, 3, 1, 5], [v = 2^(1/2), And(1 < u,u < v), And(u
^2-3 < x,x < -1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-2, -2], [3, 3]]]], [[11, 3, 6, 1, 1], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y
)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0
], [-4, -4], [-3, -3]]]], [[11, 3, 6, 1, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [-4, -4]
, [-2, -2]]]], [[11, 3, 6, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [-4, -4]
, [0, 0]]]], [[11, 3, 6, 1, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[3, 3], [
-3396811/1048576, -3396811/1048576], [0, 0], [-4, -4], [2, 2]]]], [[11, 3, 6,
1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u
^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [0, 0], [-4, -4], [3, 3]]]], [[11, 5, 1, 6, 1], [2^(1/2) < v
, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3,
-3], [2614535/1048576, 326817/131072], [-2, -2]]]], [[11, 5, 1, 6, 2], [2^(1/2
) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-3, -3], [2614535/1048576, 326817/131072], [-373161/524288, -1492643/2097152]
]]], [[11, 5, 1, 6, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2
+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [2614535/
1048576, 326817/131072], [-1/4194304, -1/4194304]]]], [[11, 5, 1, 6, 4], [2^(1
/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [-3, -3], [2614535/1048576, 326817/131072], [746321/1048576, 373161/524288]]
]], [[11, 5, 1, 6, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+
v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-3, -3], [2614535/1048576, 326817/131072], [2
, 2]]]], [[11, 9, 7, 9, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^
(1/2)), And(0 < x,x < -u^2+v^2-1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [
[3, 3], [-22960369/8388608, -22960369/8388608], [533035/2097152, 533035/
2097152], [2, 2], [0, 0]]]], [[11, 11, 1, 5, 1], [2^(1/2) < v, And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11, -11], [6, 6], [-4, -4]]]]
, [[11, 11, 1, 5, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [0, 0], [-11, -11], [6, 6], [-146543/65536, -2344687/1048576]]]], [
[11, 11, 1, 5, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
< u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[3, 3], [0, 0], [-11, -11], [6, 6], [0, 0]]]], [[11, 11
, 1, 5, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v
^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3],
[0, 0], [-11, -11], [6, 6], [2344687/1048576, 146543/65536]]]], [[11, 11, 1, 5
, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1,
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0
], [-11, -11], [6, 6], [4, 4]]]], [[11, 16, 7, 7, 1], [2^(1/2) < v, u = v, 1 <
x, 0 < y, z = z], [regular_chain, [[3, 3], [3, 3], [2, 2], [1, 1], [0, 0]]]],
[[11, 18, 4, 2, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y = -1, z < -2^(1
/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1,
-1], [-3, -3]]]], [[11, 18, 4, 2, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1,
y = -1, z = -2^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576
], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[11, 18, 4, 2,
3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1
, -1], [0, 0]]]], [[11, 18, 4, 2, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1,
y = -1, z = 2^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576]
, [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 18, 4, 2, 5],
[2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[1,
1, 10, 6, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = 0, z = z],
[regular_chain, [[-3, -3], [-5, -5], [15, 15], [0, 0], [0, 0]]]], [[1, 3, 3, 9
, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-915943/524288, -915943/524288], [4, 4], [0, 0]]]
], [[1, 7, 10, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And
(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [-2613723/2097152, -2613723/
2097152], [-2, -2]]]], [[1, 7, 10, 5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1
)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-\
2613723/2097152, -2613723/2097152], [-16263/32768, -520415/1048576]]]], [[1, 7
, 10, 5, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2
-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-2613723/2097152, -\
2613723/2097152], [0, 0]]]], [[1, 7, 10, 5, 4], [v < -2^(1/2), And(v < u,u < -
(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-\
2613723/2097152, -2613723/2097152], [520415/1048576, 16263/32768]]]], [[1, 7,
10, 5, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [1, 1], [-2613723/2097152, -2613723/2097152], [2, 2]]]], [[
1, 9, 5, 4, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And
(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369
/8388608, -22960369/8388608], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[1, 9, 5, 4,
2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x <
0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]
], [[1, 9, 5, 4, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2))
, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [0, 0], [0, 0]]]], [[1, 9, 5, 4, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain,
[[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[1, 9, 5, 4, 5], [v < -2^(1/2), And(-(v^2-1)
^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [0, 0], [2, 2]]]], [[1, 15, 1, 9, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [4, 4], [0, 0]]]], [[1, 16, 5, 2, 1], [v
< -2^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, z < -1], [regular_chain, [[-3,
-3], [3, 3], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[1, 16, 5, 2, 2], [v < -2
^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, z = -1], [regular_chain, [[-3, -3]
, [3, 3], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[1, 16, 5, 2, 3], [v < -2^(1
/2), u = -v, And(0 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [
[-3, -3], [3, 3], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[1, 16, 5, 2, 4], [v <
-2^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-3, -3
], [3, 3], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[1, 16, 5, 2, 5], [v < -2^(1/
2), u = -v, And(0 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-3, -3], [3,
3], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[1, 21, 1, 6, 1], [v < -2^(1/2), (v^
2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-3, -3], [5,
5], [-18, -18], [18, 18], [-1, -1]]]], [[1, 21, 1, 6, 2], [v < -2^(1/2), (v^2+
2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [5, 5
], [-18, -18], [18, 18], [0, 0]]]], [[1, 21, 1, 6, 3], [v < -2^(1/2), (v^2+2)^
(1/2) < u, x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-3, -3], [5, 5],
[-18, -18], [18, 18], [1, 1]]]], [[2, 1, 3, 7, 1], [v = -2^(1/2), u < -2, And(
-u^2+1 < x,x < -1), And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9/2], [15/2, 15/2], [0, 0]
]]], [[2, 10, 9, 5, 1], [v = -2^(1/2), u = 0, 1 < x, And(-x < y,y < 1-x), z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-3/2
, -3/2], [0, 0]]]], [[2, 12, 3, 1, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1
), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[2, 12, 3, 1, 2], [v =
-2^(1/2), u = 1, And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-2,
-2], [-7846825/4194304, -980853/524288]]]], [[2, 12, 3, 1, 3], [v = -2^(1/2),
u = 1, And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-2
, -2], [0, 0]]]], [[2, 12, 3, 1, 4], [v = -2^(1/2), u = 1, And(-2 < x,x < -1),
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]],
[[2, 12, 3, 1, 5], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), y < -x-2, (-x-y)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2
, -3/2], [-2, -2], [3, 3]]]], [[2, 17, 1, 9, 1], [v = -2^(1/2), And(3^(1/2) <
u,u < 2), x < -u^2+1, u^2-x-3 < y, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [6, 6], [0, 0]]
]], [[2, 18, 4, 1, 1], [v = -2^(1/2), u = 2, x = -1, y < -2, z < -(1-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-3,
-3], [-3, -3]]]], [[2, 18, 4, 1, 2], [v = -2^(1/2), u = 2, x = -1, y < -2, z =
-(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-\
1, -1], [-3, -3], [-2, -2]]]], [[2, 18, 4, 1, 3], [v = -2^(1/2), u = 2, x = -1
, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-1, -1], [-3, -3], [0, 0]]]], [[2, 18, 4, 1
, 4], [v = -2^(1/2), u = 2, x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-3, -3], [2, 2]]]], [[
2, 18, 4, 1, 5], [v = -2^(1/2), u = 2, x = -1, y < -2, (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-3, -3]
, [3, 3]]]], [[3, 4, 9, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
1 < x, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-410915/262144, -3287319/2097152], [2, 2], [-2, -2], [-1, -1]]]], [[3, 4, 9,
4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [2, 2], [-2, -2], [0, 0]]]], [[3, 4, 9, 4, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2]
, [-2, -2], [1, 1]]]], [[3, 6, 3, 2, 1], [And(-2^(1/2) < v,v < -1), u = v, And
(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/2, -\
1/2], [-2, -2]]]], [[3, 6, 3, 2, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1
< x,x < 0), y = -1-x, z = -1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/2, -1/2], [-\
1, -1]]]], [[3, 6, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x <
0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/2, -1/2], [
0, 0]]]], [[3, 6, 3, 2, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0
), y = -1-x, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[3
, 6, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = -1-x,
1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[3, 11, 2,
1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1
, y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -\
3293561/2097152], [-1, -1], [-3, -3]]]], [[3, 11, 2, 1, 2], [And(-2^(1/2) < v,
v < -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-1, -1], [-\
3362313/2097152, -420289/262144]]]], [[3, 11, 2, 1, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^
(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-1646781/1048576, -\
3293561/2097152], [-1, -1], [0, 0]]]], [[3, 11, 2, 1, 4], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [-1, -1], [
420289/262144, 1681157/1048576]]]], [[3, 11, 2, 1, 5], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-1646781/1048576, -3293561/2097152], [-1, -1], [3, 3]]]], [[
3, 12, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), And(-1-x
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1, -1], [-2, -2]]]
], [[3, 12, 5, 3, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), And
(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1, -1], [-\
1482911/2097152, -741455/1048576]]]], [[3, 12, 5, 3, 3], [And(-2^(1/2) < v,v <
-1), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1, -1], [0, 0]]]], [[3, 12, 5
, 3, 4], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), And(-1-x < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1, -1], [741455/1048576, 
46341/65536]]]], [[3, 12, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(0 <
x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
1, -1], [2, 2]]]], [[3, 14, 9, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(
1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [2, 2],
[-3, -3], [-2, -2]]]], [[3, 14, 9, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+
1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [2, 2],
[-3, -3], [-1, -1]]]], [[3, 14, 9, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+
1)^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-3, -3], [0, 0]]]], [[3, 14, 9, 3, 4], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-3, -3], [1, 1]]]], [[3, 14, 9, 3, 5], [And(-2^(1/2)
< v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-3, -3], [2, 2]]]], [[3, 16, 2, 4, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3],
[3, 3], [-1, -1]]]], [[3, 16, 2, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = -3, y = 3, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-3, -3], [3, 3], [0, 0]]]], [[3, 
16, 2, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, y = 3, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [-3, -3], [3, 3], [1, 1]]]], [[4, 3, 3, 8, 1], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = u^2-x-2, z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [2319573/1048576, 1159787/524288], [0, 0]]]], [[4,
4, 7, 3, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[4, 4, 7, 3, 2], [v = -1, u = -2^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/
2, -3/2], [-1, -1]]]], [[4, 4, 7, 3, 3], [v = -1, u = -2^(1/2), And(0 < x,x <
1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-3/
2, -3/2], [0, 0]]]], [[4, 4, 7, 3, 4], [v = -1, u = -2^(1/2), And(0 < x,x < 1)
, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1482911/1048576, -741455/524288], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[4, 4,
7, 3, 5], [v = -1, u = -2^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [
1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[4, 11, 2, 2, 1], [v = -1, And(1 < u,u <
2^(1/2)), x = -u^2, y = 0, z < -u], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0], [-3, -3
]]]], [[4, 11, 2, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 0, z =
-u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [0, 0], [-1265743/1048576, -1265743/1048576]]]], [[4
, 11, 2, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 0, And(-u < z,z
< u)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
1527887/1048576, -763943/524288], [0, 0], [0, 0]]]], [[4, 11, 2, 2, 4], [v = -\
1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 0, z = u], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0]
, [1265743/1048576, 1265743/1048576]]]], [[4, 11, 2, 2, 5], [v = -1, And(1 < u
,u < 2^(1/2)), x = -u^2, y = 0, u < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0], [3, 3]]
]], [[4, 12, 5, 2, 1], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y = -x-2, z <
-2^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2,
-1/2], [-3/2, -3/2], [-3, -3]]]], [[4, 12, 5, 2, 2], [v = -1, u = 2^(1/2), And
(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -\
741455/524288]]]], [[4, 12, 5, 2, 3], [v = -1, u = 2^(1/2), And(-1 < x,x < 0),
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[4, 12, 5, 2
, 4], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/
2, -3/2], [741455/524288, 1482911/1048576]]]], [[4, 12, 5, 2, 5], [v = -1, u =
2^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[5,
1, 7, 5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x
< y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-1/4
, -1/4], [0, 0]]]], [[5, 2, 9, 6, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2),
1 < x, y = 1-x, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [
-1, -1], [0, 0]]]], [[5, 12, 9, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2],
[2, 2], [-1/2, -1/2], [0, 0]]]], [[6, 1, 2, 6, 1], [v = 0, u < -2^(1/2), x = -
u^2-1, y = 2*u^2, z = z], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [18,
18], [0, 0]]]], [[6, 5, 5, 8, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^
2-1), y = -x, z < 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [7/
8, 7/8], [-1, -1]]]], [[6, 5, 5, 8, 2], [v = 0, And(-1 < u,u < 0), And(-1 < x,
x < u^2-1), y = -x, z = 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8
], [7/8, 7/8], [0, 0]]]], [[6, 5, 5, 8, 3], [v = 0, And(-1 < u,u < 0), And(-1
< x,x < u^2-1), y = -x, 0 < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8,
-7/8], [7/8, 7/8], [1, 1]]]], [[6, 7, 2, 5, 1], [v = 0, And(0 < u,u < 1), x =
-u^2-1, And(2*u^2 < y,y < u^2+1), z < -(u^2-y+1)^(1/2)], [regular_chain, [[0,
0], [1/2, 1/2], [-5/4, -5/4], [7/8, 7/8], [-2, -2]]]], [[6, 7, 2, 5, 2], [v =
0, And(0 < u,u < 1), x = -u^2-1, And(2*u^2 < y,y < u^2+1), z = -(u^2-y+1)^(1/2
)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [7/8, 7/8], [-1284239/
2097152, -642119/1048576]]]], [[6, 7, 2, 5, 3], [v = 0, And(0 < u,u < 1), x =
-u^2-1, And(2*u^2 < y,y < u^2+1), And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2)
)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [7/8, 7/8], [0, 0]]]],
[[6, 7, 2, 5, 4], [v = 0, And(0 < u,u < 1), x = -u^2-1, And(2*u^2 < y,y < u^2+
1), z = (u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [
7/8, 7/8], [642119/1048576, 80265/131072]]]], [[6, 7, 2, 5, 5], [v = 0, And(0
< u,u < 1), x = -u^2-1, And(2*u^2 < y,y < u^2+1), (u^2-y+1)^(1/2) < z], [
regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [7/8, 7/8], [2, 2]]]], [[7,
1, 7, 8, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = u^2-
v^2-x-1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [29/4, 29/
4], [0, 0]]]], [[7, 2, 9, 9, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x,
0 < y, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [1, 1], [0,
0]]]], [[7, 7, 7, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1
< x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [0, 0], [-3/8, -3/8], [3/16, 3/16], [-2, -2]]]], [[7, 7, 7, 7, 2], [And(0 <
v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [3/16, 3/16
], [-454047/1048576, -227023/524288]]]], [[7, 7, 7, 7, 3], [And(0 < v,v < 1),
And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8]
, [3/16, 3/16], [0, 0]]]], [[7, 7, 7, 7, 4], [And(0 < v,v < 1), And(-v < u,u <
v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [3/16, 3/16], [227023/524288
, 454047/1048576]]]], [[7, 7, 7, 7, 5], [And(0 < v,v < 1), And(-v < u,u < v),
And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [3/16, 3/16], [2, 2]]]], [[7
, 9, 4, 4, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 0,
z < -1], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1,
-1], [0, 0], [-2, -2]]]], [[7, 9, 4, 4, 2], [And(0 < v,v < 1), And(v < u,u < (
v^2+1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[7, 9, 4, 4, 3], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, And(-1 < z,z <
1)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1]
, [0, 0], [0, 0]]]], [[7, 9, 4, 4, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[1/2, 1/2], [1696631/2097152
, 1696631/2097152], [-1, -1], [0, 0], [1, 1]]]], [[7, 9, 4, 4, 5], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [
[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [0, 0], [2, 2]]]], [
[7, 11, 5, 7, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-1 < x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2,
1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [767309/1048576, 767309/
1048576], [0, 0]]]], [[7, 12, 8, 3, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2),
x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3
/2, 3/2], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[7, 12, 8, 3, 2], [And(0 < v,v <
1), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-5/2, -5/2], [-1284239/
1048576, -642119/524288]]]], [[7, 12, 8, 3, 3], [And(0 < v,v < 1), u = (v^2+2)
^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-5/2, -5/2], [0, 0]]]], [[7,
12, 8, 3, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-5/2, -5/
2], [642119/524288, 1284239/1048576]]]], [[7, 12, 8, 3, 5], [And(0 < v,v < 1),
u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-5/2, -5/2], [3, 3]]]], [[8,
3, 9, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y <
-u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-5, -5], [-4, -4]]]], [
[8, 3, 9, 1, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1),
y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-5, -5], [-270613/
131072, -2164903/1048576]]]], [[8, 3, 9, 1, 3], [v = 1, And(-3^(1/2) < u,u < -
2^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [-5, -5], [0, 0]]]], [[8, 3, 9, 1, 4], [v =
1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, z = (-x-y
)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [-5, -5], [2164903/1048576, 270613/131072]]
]], [[8, 3, 9, 1, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x
< 1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-5, -5], [4,
4]]]], [[8, 5, 4, 4, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = 0, z <
-1], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1],
[0, 0], [-2, -2]]]], [[8, 5, 4, 4, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -\
1, y = 0, z = -1], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [0, 0], [-1, -1]]]], [[8, 5, 4, 4, 3], [v = 1, And(-2^(1/2
) < u,u < -1), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[8, 5, 4, 4,
4], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = 0, z = 1], [regular_chain, [
[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[8
, 5, 4, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = 0, 1 < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0]
, [2, 2]]]], [[8, 11, 7, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,
x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0], [-2, -2]]]], [[8
, 11, 7, 6, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [
-569265/2097152, -569265/2097152], [0, 0], [-273157/524288, -1092627/2097152]]
]], [[8, 11, 7, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0], [-1/
4194304, -1/4194304]]]], [[8, 11, 7, 6, 4], [v = 1, And(1 < u,u < 2^(1/2)), 
And(u^2-2 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0],
[546313/1048576, 273157/524288]]]], [[8, 11, 7, 6, 5], [v = 1, And(1 < u,u < 2
^(1/2)), And(u^2-2 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1]
, [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [0,
0], [2, 2]]]], [[8, 13, 3, 2, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u
^2 < x,x < -1), y = -u^2-x, z < -u], [regular_chain, [[1, 1], [3299097/2097152
, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-1546383/2097152, -\
773191/1048576], [-3, -3]]]], [[8, 13, 3, 2, 2], [v = 1, And(2^(1/2) < u,u < 3
^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
1546383/2097152, -773191/1048576], [-3299097/2097152, -3299097/2097152]]]], [[
8, 13, 3, 2, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y
= -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [-1546383/2097152, -\
773191/1048576], [-1/4194304, -1/4194304]]]], [[8, 13, 3, 2, 4], [v = 1, And(2
^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [-1546383/2097152, -773191/1048576], [412387/262144, 
1649549/1048576]]]], [[8, 13, 3, 2, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(-u^2 < x,x < -1), y = -u^2-x, u < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-1546383/
2097152, -773191/1048576], [3, 3]]]], [[9, 2, 1, 5, 1], [And(1 < v,v < 2^(1/2)
), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[9, 2, 1, 5, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-4, -4], [5/2, 5/2], [-1284239/1048576, -642119/
524288]]]], [[9, 2, 1, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x <
-3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [5/2, 5/2], [0, 0]]]], [[9, 2, 1, 5, 4], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]],
[[9, 2, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, And(-x-\
3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-4, -4], [5/2, 5/2], [3, 3]]]
], [[9, 3, 6, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-\
4, -4], [-3, -3]]]], [[9, 3, 6, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-4, -4], [-2, -2]]]], [[9, 3, 6, 1, 3], [And(1 < v
,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2
-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [-4, -4], [0
, 0]]]], [[9, 3, 6, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0,
0], [-4, -4], [2, 2]]]], [[9, 3, 6, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-4, -4], [3, 3]]]], [[9, 13, 7, 9, 1], [And(1 < v,
v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), -x < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-139585/524288, -139585/524288], [2, 2], [0, 0]]]], [[9, 15
, 3, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/1048576, 911923/1048576
], [-2, -2]]]], [[9, 15, 3, 5, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [911923/1048576,
911923/1048576], [-7822925/8388608, -1955731/2097152]]]], [[9, 15, 3, 5, 3], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/1048576, 911923/1048576
], [-1/4194304, -1/4194304]]]], [[9, 15, 3, 5, 4], [And(1 < v,v < 2^(1/2)), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152]
, [911923/1048576, 911923/1048576], [977865/1048576, 488933/524288]]]], [[9, 
15, 3, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/1048576, 911923/1048576
], [2, 2]]]], [[10, 2, 1, 8, 1], [v = 2^(1/2), u = -2, x < -3, y = 1-x, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [5, 5
], [0, 0]]]], [[10, 3, 6, 4, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0
, y = 0, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [0, 0], [0, 0], [-1, -1]]]], [[10, 3, 6, 4, 2], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0],
[0, 0], [0, 0]]]], [[10, 3, 6, 4, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [0, 0], [0, 0], [1, 1]]]], [[10, 9, 8, 1,
1], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1, y < 2*u^2-4, z < -(u^2-y-1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4,
3/4], [-5, -5], [-4, -4]]]], [[10, 9, 8, 1, 2], [v = 2^(1/2), And(-1 < u,u < 0
), x = -u^2+1, y < 2*u^2-4, z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-5, -5], [-2161695/
1048576, -1080847/524288]]]], [[10, 9, 8, 1, 3], [v = 2^(1/2), And(-1 < u,u <
0), x = -u^2+1, y < 2*u^2-4, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-\
5, -5], [0, 0]]]], [[10, 9, 8, 1, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^
2+1, y < 2*u^2-4, z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-5, -5], [1080847/524288, 2161695
/1048576]]]], [[10, 9, 8, 1, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = -u^2+1,
y < 2*u^2-4, (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [3/4, 3/4], [-5, -5], [4, 4]]]], [[10, 11, 1, 6, 1], [
v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = -x, z < 0], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [4, 4], [-1, -1]]]], [[
10, 11, 1, 6, 2], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [4, 4]
, [0, 0]]]], [[10, 11, 1, 6, 3], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [
-4, -4], [4, 4], [1, 1]]]], [[10, 15, 7, 7, 1], [v = 2^(1/2), And(v < u,u < 3^
(1/2)), And(u^2-3 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-275385/1048576, -275385/1048576], [275385/2097152, 275385/2097152]
, [-2, -2]]]], [[10, 15, 7, 7, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u
^2-3 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/
1048576, -275385/1048576], [275385/2097152, 275385/2097152], [-47497/131072, -\
379975/1048576]]]], [[10, 15, 7, 7, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(u^2-3 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [275385/2097152, 275385/
2097152], [0, 0]]]], [[10, 15, 7, 7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(u^2-3 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/
1048576, -275385/1048576], [275385/2097152, 275385/2097152], [379975/1048576,
47497/131072]]]], [[10, 15, 7, 7, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), 
And(u^2-3 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/
1048576, -275385/1048576], [275385/2097152, 275385/2097152], [2, 2]]]], [[10,
17, 3, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), 
And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-1554043/4194304, -1554043/4194304], [-3, -3]]]], [[10, 17,
3, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(-u
^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-1554043/4194304, -1554043/4194304], [-380925/262144, -\
1523699/1048576]]]], [[10, 17, 3, 3, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-1554043/
4194304, -1554043/4194304], [0, 0]]]], [[10, 17, 3, 3, 4], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = (-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -\
1554043/4194304], [1523699/1048576, 380925/262144]]]], [[10, 17, 3, 3, 5], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
1554043/4194304, -1554043/4194304], [3, 3]]]], [[10, 19, 2, 4, 1], [v = 2^(1/2
), 2 < u, x = -u^2+1, y = u^2-1, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-8, -8], [8, 8], [-1, -1]]]], [[10, 19, 2, 4, 2], [
v = 2^(1/2), 2 < u, x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-8, -8], [8, 8], [0, 0]]]], [[10, 19, 2, 4,
3], [v = 2^(1/2), 2 < u, x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-8, -8], [8, 8], [1, 1]]]], [[11, 1,
4, 9, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = z], [
regular_chain, [[3, 3], [-5, -5], [-1, -1], [17, 17], [0, 0]]]], [[11, 5, 7, 7
, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288,
66399/524288], [-2, -2]]]], [[11, 5, 7, 7, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2
) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304
, -1062385/4194304], [66399/524288, 66399/524288], [-373161/1048576, -46645/
131072]]]], [[11, 5, 7, 7, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [66399/524288, 66399/524288], [0, 0]]]], [[11, 5,
7, 7, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [66399/524288,
66399/524288], [46645/131072, 373161/1048576]]]], [[11, 5, 7, 7, 5], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-1062385/4194304, -1062385/4194304], [66399/524288, 66399/524288], [
2, 2]]]], [[11, 7, 4, 8, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x =
-1, y = 1, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [1, 1], [-1, -1]]]], [[11, 7, 4, 8, 2], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [1, 1], [0, 0]]]], [[11, 7, 4, 8
, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [1, 1]
, [1, 1]]]], [[11, 12, 9, 7, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, And(1
-x < y,y < 0), z = z], [regular_chain, [[3, 3], [2774271/1048576, 10837/4096],
[2, 2], [-1/2, -1/2], [0, 0]]]], [[11, 14, 3, 7, 1], [2^(1/2) < v, u = (v^2-1)
^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [3, 3], [0, 0]]]], [[11, 19, 2, 4, 1],
[2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^
2-v^2+1, z < 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[-2615197/1048576, -653799/262144], [653799/262144, 2615197/1048576], [-1, -1]
]]], [[11, 19, 2, 4, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [653799/262144,
2615197/1048576], [0, 0]]]], [[11, 19, 2, 4, 3], [2^(1/2) < v, And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-2615197/1048576,
-653799/262144], [653799/262144, 2615197/1048576], [1, 1]]]], [[11, 20, 4, 9,
1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[
3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [3, 3], [0, 0]]]], [[1, 5,
7, 2, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x <
0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-325091
/262144, -1300363/1048576], [-3, -3]]]], [[1, 5, 7, 2, 2], [v < -2^(1/2), And(
-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-1062385/4194304, -1062385/4194304], [-325091/262144, -1300363/1048576], [-\
1281417/1048576, -160177/131072]]]], [[1, 5, 7, 2, 3], [v < -2^(1/2), And(-(v^
2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v
^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-325091/262144
, -1300363/1048576], [0, 0]]]], [[1, 5, 7, 2, 4], [v < -2^(1/2), And(-(v^2+1)^
(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385
/4194304, -1062385/4194304], [-325091/262144, -1300363/1048576], [160177/
131072, 1281417/1048576]]]], [[1, 5, 7, 2, 5], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [-325091/262144, -1300363/1048576], [3, 3]]]], [[1
, 7, 4, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v
^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-1, -1], [-133001/524288, -133001/524288], [-3, -3]]]],
[[1, 7, 4, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^
2-v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [-133001/524288, -133001/524288], [-\
293517/262144, -1174067/1048576]]]], [[1, 7, 4, 3, 3], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-133001/524288, -133001/524288], [0, 0]]]], [[1, 7, 4, 3,
4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y <
0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [-133001/524288, -133001/524288], [1174067/1048576, 293517
/262144]]]], [[1, 7, 4, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
= -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [-133001/524288, -133001/524288]
, [3, 3]]]], [[1, 11, 7, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-12, -12], [-5, -5]]]], [[1, 11
, 7, 1, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 <
x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [1/2, 1/2], [-12, -12], [-3555895/1048576, -1777947/524288]]]], [[1, 11, 7
, 1, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x
< 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [0, 0], [1/2, 1/2], [-12, -12], [0, 0]]]], [[1, 11,
7, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,
x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0],
[1/2, 1/2], [-12, -12], [1777947/524288, 3555895/1048576]]]], [[1, 11, 7, 1, 5
], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(0 < x,x < 1),
y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [1/2, 1
/2], [-12, -12], [5, 5]]]], [[1, 12, 9, 6, 1], [v < -2^(1/2), u = (v^2-2)^(1/2
), 1 < x, y = 1-x, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [2, 2], [-1, -1], [0, 0]]]], [[1, 19, 1, 8, 1], [v < -2^(1/2), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1178087/262144, 4712349/1048576], [0, 0]]]], [[1, 20, 4, 4, 1], [v < -2^(1/2),
u = (v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [3477733
/1048576, 1738867/524288], [-1, -1], [0, 0], [-2, -2]]]], [[1, 20, 4, 4, 2], [
v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-3,
-3], [3477733/1048576, 1738867/524288], [-1, -1], [0, 0], [-1, -1]]]], [[1, 20
, 4, 4, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)
], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [0,
0], [0, 0]]]], [[1, 20, 4, 4, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y
= 0, z = 1], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1
, -1], [0, 0], [1, 1]]]], [[1, 20, 4, 4, 5], [v < -2^(1/2), u = (v^2+2)^(1/2),
x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-1, -1], [0, 0], [2, 2]]]], [[2, 3, 5, 2, 1], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), And(-1 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -33253297/16777216], [-3,
-3]]]], [[2, 3, 5, 2, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,
x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-\
66506595/33554432, -33253297/16777216], [-825991/524288, -3303963/2097152]]]],
[[2, 3, 5, 2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0),
y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [-66506595/33554432, -33253297/16777216], [-1/4194304, -1/4194304]]]],
[[2, 3, 5, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0),
y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-66506595/
33554432, -33253297/16777216], [1651981/1048576, 825991/524288]]]], [[2, 3, 5,
2, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = -u^2-x+
1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-66506595/33554432, -\
33253297/16777216], [3, 3]]]], [[2, 4, 9, 5, 1], [v = -2^(1/2), u = -3^(1/2),
1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-1, -1], [0, 0]]]], [[
2, 7, 3, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(0
< y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [853897/2097152, 853897/2097152], [-2, -2]]]], [[2, 7, 3, 5,
2], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y < -u^
2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152],
[853897/2097152, 853897/2097152], [-7798595/8388608, -3899297/4194304]]]], [[2
, 7, 3, 5, 3], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(0
< y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [853897/2097152, 853897/2097152], [-1/
8388608, -1/8388608]]]], [[2, 7, 3, 5, 4], [v = -2^(1/2), And(v < u,u < -1), 
And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-2666417/2097152, -2666417/2097152], [853897/2097152, 
853897/2097152], [121853/131072, 974825/1048576]]]], [[2, 7, 3, 5, 5], [v = -2
^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), (-x
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [853897/
2097152, 853897/2097152], [2, 2]]]], [[2, 8, 7, 4, 1], [v = -2^(1/2), u = -1,
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1, -1], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 8, 7, 4, 2], [v
= -2^(1/2), u = -1, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]
], [[2, 8, 7, 4, 3], [v = -2^(1/2), u = -1, And(0 < x,x < 1), y = -x, 0 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-1
/2, -1/2], [1, 1]]]], [[2, 13, 1, 6, 1], [v = -2^(1/2), And(1 < u,u < -v), x <
u^2-3, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [2666417/
1048576, 1333209/524288], [-2, -2]]]], [[2, 13, 1, 6, 2], [v = -2^(1/2), And(1
< u,u < -v), x < u^2-3, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [2666417/1048576, 1333209/524288], [-1417877/2097152, -354469/524288]]]], [[
2, 13, 1, 6, 3], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = -u^2-x+1, 
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [2666417/
1048576, 1333209/524288], [0, 0]]]], [[2, 13, 1, 6, 4], [v = -2^(1/2), And(1 <
u,u < -v), x < u^2-3, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [2666417/1048576, 1333209/524288], [354469/524288, 708939/1048576]]]], [[2,
13, 1, 6, 5], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, y = -u^2-x+1, (u^2-\
1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-3, -3], [2666417/1048576, 1333209/524288], [2, 2]
]]], [[2, 14, 5, 3, 1], [v = -2^(1/2), u = -v, And(0 < x,x < 1), And(-1-x < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-2, -2]]]],
[[2, 14, 5, 3, 2], [v = -2^(1/2), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [1/2, 1/2], [-1, -1], [-1482911/2097152, -\
741455/1048576]]]], [[2, 14, 5, 3, 3], [v = -2^(1/2), u = -v, And(0 < x,x < 1)
, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [0, 0]]]], [[2, 14, 5, 3, 4], [v = -2^(1/2), u
= -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [[2, 14, 5,
3, 5], [v = -2^(1/2), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288
, 1482911/1048576], [1/2, 1/2], [-1, -1], [2, 2]]]], [[3, 1, 3, 6, 1], [And(-2
^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -x, z
< 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [625403/131072, 5003225/1048576], [-1, -\
1]]]], [[3, 1, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-u
^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [625403/
131072, 5003225/1048576], [0, 0]]]], [[3, 1, 3, 6, 3], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [625403/131072, 5003225/1048576], [1, 1]]]], [[3,
2, 5, 9, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0),
1-x < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1/2, -1/2], [3, 3], [0, 0]]]], [[3, 7, 3
, 5, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2
-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/2097152, 
897307/2097152], [-2, -2]]]], [[3, 7, 3, 5, 2], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-
x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152],
[897307/2097152, 897307/2097152], [-7767403/8388608, -3883701/4194304]]]], [[3
, 7, 3, 5, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u
^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [
897307/2097152, 897307/2097152], [-1/8388608, -1/8388608]]]], [[3, 7, 3, 5, 4]
, [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,
x < -1), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [897307/2097152, 897307/2097152], [970925/
1048576, 485463/524288]]]], [[3, 7, 3, 5, 5], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [
897307/2097152, 897307/2097152], [2, 2]]]], [[3, 8, 7, 4, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[3, 8, 7, 4, 2], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[3, 8, 7, 4, 3], [And(-2
^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[4, 1, 4, 1, 1], [v = -1
, u < -3^(1/2), x = -1, y < -u^2+1, z < -(1-y)^(1/2)], [regular_chain, [[-1, -\
1], [-3, -3], [-1, -1], [-9, -9], [-5, -5]]]], [[4, 1, 4, 1, 2], [v = -1, u <
-3^(1/2), x = -1, y < -u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-\
3, -3], [-1, -1], [-9, -9], [-3315889/1048576, -207243/65536]]]], [[4, 1, 4, 1
, 3], [v = -1, u < -3^(1/2), x = -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-9, -9], [0, 0]]]],
[[4, 1, 4, 1, 4], [v = -1, u < -3^(1/2), x = -1, y < -u^2+1, z = (1-y)^(1/2)],
[regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-9, -9], [207243/65536, 
3315889/1048576]]]], [[4, 1, 4, 1, 5], [v = -1, u < -3^(1/2), x = -1, y < -u^2
+1, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-1, -1], [-9, -9],
[5, 5]]]], [[4, 2, 6, 4, 1], [v = -1, u = -3^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [0, 0]
, [-1, -1]]]], [[4, 2, 6, 4, 2], [v = -1, u = -3^(1/2), x = 0, y = 0, z = 0],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [0, 0
], [0, 0]]]], [[4, 2, 6, 4, 3], [v = -1, u = -3^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [0, 0]
, [1, 1]]]], [[4, 7, 3, 7, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -\
1), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1
/2, -1/2], [-11/8, -11/8], [5/4, 5/4], [-2, -2]]]], [[4, 7, 3, 7, 2], [v = -1,
And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [5/4, 5/4], [
-46341/131072, -370727/1048576]]]], [[4, 7, 3, 7, 3], [v = -1, And(-1 < u,u <
0), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [5/4,
5/4], [0, 0]]]], [[4, 7, 3, 7, 4], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x
< -1), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
-1/2, -1/2], [-11/8, -11/8], [5/4, 5/4], [370727/1048576, 46341/131072]]]], [[
4, 7, 3, 7, 5], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(-u^2-x
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/
8, -11/8], [5/4, 5/4], [2, 2]]]], [[4, 8, 7, 6, 1], [v = -1, u = 0, And(0 < x,
x < 1), y = 0, z = z], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [0, 0],
[0, 0]]]], [[4, 14, 7, 7, 1], [v = -1, u = 3^(1/2), And(0 < x,x < 1), And(0 <
y,y < 1-x), z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[5, 1, 1, 3, 1], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [5/8, 5/8], [-5, -5]
]]], [[5, 1, 1, 3, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1,
And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-3, -3], [-11, -11], [5/8, 5/8], [-1688745/524288, -3377489/1048576]]]], [[
5, 1, 1, 3, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0
< y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [5/8, 5/8], [0, 0]]]], [[5
, 1, 1, 3, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 <
y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3
], [-11, -11], [5/8, 5/8], [3377489/1048576, 1688745/524288]]]], [[5, 1, 1, 3,
5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(0 < y,y < -u^2
+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -\
11], [5/8, 5/8], [5, 5]]]], [[5, 5, 3, 8, 1], [And(-1 < v,v < 0), And(-(v^2+1)
^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -\
2521309/2097152], [630327/524288, 1260655/1048576], [-1, -1]]]], [[5, 5, 3, 8,
2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x <
-1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-2521309/2097152, -2521309/2097152], [630327/524288, 
1260655/1048576], [0, 0]]]], [[5, 5, 3, 8, 3], [And(-1 < v,v < 0), And(-(v^2+1
)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain
, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -\
2521309/2097152], [630327/524288, 1260655/1048576], [1, 1]]]], [[5, 6, 7, 7, 1
], [And(-1 < v,v < 0), u = v, 1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1
/2], [-1/2, -1/2], [2, 2], [1, 1], [0, 0]]]], [[5, 9, 3, 9, 1], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), -x < y, z = z
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [3, 3], [0, 0]]]], [[5, 10, 8, 1, 1], [And
(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [-4, -\
4], [-3, -3]]]], [[5, 10, 8, 1, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x =
1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576
, 146543/131072], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[5, 10, 8, 1, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, y < -3, And(-(
-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[5, 
10, 8, 1, 4], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, y < -3, z = (-y-1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1,
1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[5, 10, 8, 1, 5], [And(-1
< v,v < 0), u = (v^2+1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [-4, -\
4], [3, 3]]]], [[6, 1, 8, 8, 1], [v = 0, u < -2^(1/2), x = 1, y = u^2-2, z = z
], [regular_chain, [[0, 0], [-3, -3], [1, 1], [7, 7], [0, 0]]]], [[6, 3, 2, 4,
1], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y = u^2+1, z < 0], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [-1, -1]]]], [[6
, 3, 2, 4, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y = u^2+1, z = 0]
, [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [0, 0]]]], [[6,
3, 2, 4, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y = u^2+1, 0 < z],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [1, 1]]]], [[6,
9, 4, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y < -u^2, z < -(1-y)^(1/2
)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-3
, -3], [-3, -3]]]], [[6, 9, 4, 1, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -1,
y < -u^2, z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[6, 9, 4, 1, 3], [v = 0, 
And(1 < u,u < 2^(1/2)), x = -1, y < -u^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [-3
, -3], [0, 0]]]], [[6, 9, 4, 1, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y
< -u^2, z = (1-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1, -1], [-3, -3], [2, 2]]]], [[6, 9, 4, 1, 5], [v = 0, And(1 < u,u
< 2^(1/2)), x = -1, y < -u^2, (1-y)^(1/2) < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1, -1], [-3, -3], [3, 3]]]], [[6, 10, 6,
4, 1], [v = 0, u = 2^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [0, 0], [0, 0], [-1, -1]]]], [[6, 10, 6, 4, 2
], [v = 0, u = 2^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[0, 0], [741455
/524288, 1482911/1048576], [0, 0], [0, 0], [0, 0]]]], [[6, 10, 6, 4, 3], [v =
0, u = 2^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[0, 0], [741455/524288,
1482911/1048576], [0, 0], [0, 0], [1, 1]]]], [[7, 3, 7, 2, 1], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [243021/1048576, 243021/1048576], [-5652431/2097152,
-2826215/1048576], [-3, -3]]]], [[7, 3, 7, 2, 2], [And(0 < v,v < 1), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151
/262144], [243021/1048576, 243021/1048576], [-5652431/2097152, -2826215/
1048576], [-3291611/2097152, -1645805/1048576]]]], [[7, 3, 7, 2, 3], [And(0 <
v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576,
243021/1048576], [-5652431/2097152, -2826215/1048576], [0, 0]]]], [[7, 3, 7, 2
, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x
,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576],
[-5652431/2097152, -2826215/1048576], [1645805/1048576, 822903/524288]]]], [[7
, 3, 7, 2, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(0 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576,
243021/1048576], [-5652431/2097152, -2826215/1048576], [3, 3]]]], [[7, 5, 2, 5
, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2
*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/
2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/
1048576], [290131/262144, 290131/262144], [-2, -2]]]], [[7, 5, 2, 5, 2], [And(
0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2
< y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [
290131/262144, 290131/262144], [-1144335/2097152, -572167/1048576]]]], [[7, 5,
2, 5, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 
And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-
y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152
], [-736367/524288, -1472733/1048576], [290131/262144, 290131/262144], [0, 0]]
]], [[7, 5, 2, 5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -
u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [290131/262144, 290131/262144], [572167/1048576, 
71521/131072]]]], [[7, 5, 2, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
736367/524288, -1472733/1048576], [290131/262144, 290131/262144], [2, 2]]]], [
[8, 1, 9, 5, 1], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), And(-x < y,y < 0)
, z = z], [regular_chain, [[1, 1], [-3, -3], [4, 4], [-2, -2], [0, 0]]]], [[8,
3, 2, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = 2*u^2-2, z
= z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-2594959
/1048576, -1297479/524288], [773191/262144, 3092765/1048576], [0, 0]]]], [[8,
7, 9, 6, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [
[8, 7, 9, 6, 2], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -x, z = 0],
[regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[
8, 7, 9, 6, 3], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8
, 9, 4, 5, 1], [v = 1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z < -(
1-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [-2, -\
2]]]], [[8, 9, 4, 5, 2], [v = 1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+
1), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/8, 3/
8], [-3315889/4194304, -207243/262144]]]], [[8, 9, 4, 5, 3], [v = 1, And(0 < u
,u < 1), x = -1, And(0 < y,y < -u^2+1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [0, 0]]]], [[8, 9
, 4, 5, 4], [v = 1, And(0 < u,u < 1), x = -1, And(0 < y,y < -u^2+1), z = (1-y)
^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [3/8, 3/8], [207243/
262144, 828973/1048576]]]], [[8, 9, 4, 5, 5], [v = 1, And(0 < u,u < 1), x = -1
, And(0 < y,y < -u^2+1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2]
, [-1, -1], [3/8, 3/8], [2, 2]]]], [[8, 15, 4, 4, 1], [v = 1, 3^(1/2) < u, x =
-1, y = 0, z < -1], [regular_chain, [[1, 1], [3, 3], [-1, -1], [0, 0], [-2, -2
]]]], [[8, 15, 4, 4, 2], [v = 1, 3^(1/2) < u, x = -1, y = 0, z = -1], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[8, 15, 4, 4,
3], [v = 1, 3^(1/2) < u, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
1, 1], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[8, 15, 4, 4, 4], [v = 1, 3^(1/2)
< u, x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [3, 3], [-1, -1], [0, 0],
[1, 1]]]], [[8, 15, 4, 4, 5], [v = 1, 3^(1/2) < u, x = -1, y = 0, 1 < z], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [0, 0], [2, 2]]]], [[9, 1, 6, 3, 1],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0),
z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3
], [0, 0], [-8957873/2097152, -8957873/2097152], [-4, -4]]]], [[9, 1, 6, 3, 2]
, [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0
), z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [0, 0], [-8957873/2097152, -8957873/2097152], [-2167143/1048576, -1083571
/524288]]]], [[9, 1, 6, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [-\
8957873/2097152, -8957873/2097152], [0, 0]]]], [[9, 1, 6, 3, 4], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [-\
8957873/2097152, -8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[9,
1, 6, 3, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-\
1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-8957873/2097152, -8957873/2097152], [4, 4]]]], [
[9, 5, 9, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(
0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-1/4, -1/
4], [0, 0]]]], [[9, 7, 6, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2
-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [-1196411/1048576, -\
598205/524288], [-3, -3]]]], [[9, 7, 6, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-450371/1048576, -225185/524288], [-1196411/1048576, -\
598205/524288], [-1314069/1048576, -328517/262144]]]], [[9, 7, 6, 2, 3], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-\
2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-1196411/1048576, -598205/524288], [0, 0]]]]
, [[9, 7, 6, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x
= -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-1196411/1048576, -598205/524288], [328517/
262144, 1314069/1048576]]]], [[9, 7, 6, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [-1196411/1048576, -\
598205/524288], [3, 3]]]], [[9, 9, 7, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655
/1048576, 239655/1048576], [239655/1048576, 29957/131072], [0, 0]]]], [[9, 11,
2, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1
, -u^2+v^2+1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-1646781/1048576, -3293561/2097152], [3, 3]
, [0, 0]]]], [[9, 15, 9, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < 0), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [775271/1048576, 775271/1048576], [-273305/2097152, -273305/
2097152], [0, 0]]]], [[9, 17, 2, 6, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-4478937/524288, -8957873/1048576], [
7909297/524288, 15818595/1048576], [0, 0]]]], [[10, 5, 7, 9, 1], [v = 2^(1/2),
And(-3^(1/2) < u,u < -v), And(u^2-3 < x,x < 0), -x < y, z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [-\
1101539/4194304, -1101539/4194304], [2, 2], [0, 0]]]], [[10, 7, 4, 6, 1], [v =
2^(1/2), And(-v < u,u < -1), x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1, -1], [569265/1048576, 284633/524288], [-2, -2]]]], [[10, 7, 4,
6, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [569265/1048576, 284633/524288], [-1417877/2097152
, -354469/524288]]]], [[10, 7, 4, 6, 3], [v = 2^(1/2), And(-v < u,u < -1), x =
-1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1
], [569265/1048576, 284633/524288], [0, 0]]]], [[10, 7, 4, 6, 4], [v = 2^(1/2)
, And(-v < u,u < -1), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [569265/1048576, 284633/524288], [354469/524288, 708939/1048576]]]], [[10
, 7, 4, 6, 5], [v = 2^(1/2), And(-v < u,u < -1), x = -1, y = -u^2+2, (u^2-1)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [569265/1048576, 284633/524288], [2, 2]]
]], [[10, 11, 7, 8, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1),
y = -u^2-x+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2,
1/2], [3/8, 3/8], [3/8, 3/8], [0, 0]]]], [[10, 13, 2, 7, 1], [v = 2^(1/2), And
(1 < u,u < v), x = u^2-3, -u^2+3 < y, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [3, 3], [0, 0]]]], [[11, 3, 6, 4, 1], [2^(1/2) < v, And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [0, 0], [0, 0], [-1, -1]]]], [[11, 3
, 6, 4, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y
= 0, z = 0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0
, 0], [0, 0], [0, 0]]]], [[11, 3, 6, 4, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [0, 0], [0, 0], [1, 1]]]], [[11, 5, 1, 5,
1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2
-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-3, -3], [2, 2], [-2, -2]]]], [[11, 5, 1, 5,
2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2
-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-3, -3], [2, 2], [-1, -1]]]], [[11, 5, 1, 5,
3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(-u^2+v^2
-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [2, 2], [0
, 0]]]], [[11, 5, 1, 5, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [2, 2], [1
, 1]]]], [[11, 5, 1, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [2, 2], [2
, 2]]]], [[11, 9, 8, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^
(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-5, -5], [-4, -4]]]], [[11, 9, 8, 1, 2], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2
, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/1048576, 133259/262144], [-5, -5], [-2222303/
1048576, -1111151/524288]]]], [[11, 9, 8, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(1
/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^2-y+
1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-5, -5], [0, 0]
]]], [[11, 9, 8, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain,
[[3, 3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/
262144], [-5, -5], [1111151/524288, 2222303/1048576]]]], [[11, 9, 8, 1, 5], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y < 2*
u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-5, -5], [4, 4]
]]], [[11, 11, 1, 2, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2
)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [
-11, -11], [0, 0], [-5, -5]]]], [[11, 11, 1, 2, 2], [2^(1/2) < v, And(-(v^2-2)
^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [0, 0], [-1738867/524288, -3477733
/1048576]]]], [[11, 11, 1, 2, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^
2-2)^(1/2)), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [0, 0], [0, 0]]]], [[11, 11, 1, 2,
4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y
= 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11, -11], [0, 0], [
3477733/1048576, 1738867/524288]]]], [[11, 11, 1, 2, 5], [2^(1/2) < v, And(-(v
^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [0, 0], [5, 5]]]], [[11, 17, 1, 3,
1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y <
-u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-3, -3], [197471/262144, 197471/262144], [-3, -3]]]], [[11, 
17, 1, 3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(
0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-3, -3], [197471/262144, 197471/262144], [-1571713/
1048576, -12279/8192]]]], [[11, 17, 1, 3, 3], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[-3, -3], [197471/262144, 197471/262144], [0, 0]]]], [[11, 17, 1, 3, 4], [2^(1
/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-
x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [-3, -3], [197471/262144, 197471/262144], [12279/8192, 1571713/
1048576]]]], [[11, 17, 1, 3, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
< -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [-3, -3], [197471/262144, 197471/
262144], [3, 3]]]], [[11, 18, 4, 1, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -\
1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[11, 18, 4, 1, 2], [2^(1/2) < v, u
= (v^2+1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 18, 4, 1, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x =
-1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]
], [[11, 18, 4, 1, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -1, y < -1, z = (1
-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-1, -1]
, [-2, -2], [908093/524288, 1816187/1048576]]]], [[11, 18, 4, 1, 5], [2^(1/2)
< v, u = (v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[1, 1, 10
, 3, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 <
y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5,
-5], [15, 15], [-47/2, -47/2], [-4, -4]]]], [[1, 1, 10, 3, 2], [v < -2^(1/2),
u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -
(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [-47/2,
-47/2], [-24456785/8388608, -1528549/524288]]]], [[1, 1, 10, 3, 3], [v < -2^(1
/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1),
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3
, -3], [-5, -5], [15, 15], [-47/2, -47/2], [0, 0]]]], [[1, 1, 10, 3, 4], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2
+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [15, 15],
[-47/2, -47/2], [1528549/524288, 3057099/1048576]]]], [[1, 1, 10, 3, 5], [v <
-2^(1/2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2
+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [15, 15],
[-47/2, -47/2], [4, 4]]]], [[1, 3, 4, 1, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-3,
-3], [-3, -3]]]], [[1, 3, 4, 1, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-3
, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-3, -3], [-2, -2]]]],
[[1, 3, 4, 1, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-3, -3], [0, 0]]]],
[[1, 3, 4, 1, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[1, 3, 4, 1, 5], [
v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2
, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [-3, -3], [3, 3]]]], [[1, 7, 10, 4, 1], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-\
391287/262144, -1565147/1048576], [-2, -2]]]], [[1, 7, 10, 4, 2], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [
-391287/262144, -1565147/1048576], [-735979/1048576, -1471957/2097152]]]], [[1
, 7, 10, 4, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+
v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-391287/262144, -\
1565147/1048576], [-1/4194304, -1/4194304]]]], [[1, 7, 10, 4, 4], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [-\
391287/262144, -1565147/1048576], [367989/524288, 735979/1048576]]]], [[1, 7,
10, 4, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-391287/262144, -1565147/1048576], [2, 2]]]], [[1,
9, 5, 7, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1
< x,x < 0), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [
-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [1581611/2097152, 1581611
/2097152], [0, 0]]]], [[1, 15, 1, 6, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,
u < -v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [
657289/262144, 2629157/1048576], [-2, -2]]]], [[1, 15, 1, 6, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
3, -3], [657289/262144, 2629157/1048576], [-735979/1048576, -1471957/2097152]]
]], [[1, 15, 1, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v
^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [
657289/262144, 2629157/1048576], [-1/4194304, -1/4194304]]]], [[1, 15, 1, 6, 4
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = -u^2+v^2-x
-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3, -3], [657289/262144, 2629157/1048576], [367989/524288,
735979/1048576]]]], [[1, 15, 1, 6, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x < u^2-v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [657289/262144, 
2629157/1048576], [2, 2]]]], [[1, 16, 5, 3, 1], [v < -2^(1/2), u = -v, And(0 <
x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[3, 3], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[1, 16, 5, 3, 2], [v < -2^(1/2), u
= -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-1, -1], [-1482911/2097152, -\
741455/1048576]]]], [[1, 16, 5, 3, 3], [v < -2^(1/2), u = -v, And(0 < x,x < 1)
, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-1, -1], [0, 0]]]], [[1, 16, 5,
3, 4], [v < -2^(1/2), u = -v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-1, -1], [741455/
1048576, 46341/65536]]]], [[1, 16, 5, 3, 5], [v < -2^(1/2), u = -v, And(0 < x,
x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3
, 3], [1/2, 1/2], [-1, -1], [2, 2]]]], [[1, 21, 1, 5, 1], [v < -2^(1/2), (v^2+
2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [5, 5], [-18, -18], [19/2, 19/2], [-4, -4]]]], [[
1, 21, 1, 5, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^
2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18
, -18], [19/2, 19/2], [-24456785/8388608, -1528549/524288]]]], [[1, 21, 1, 5,
3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [5,
5], [-18, -18], [19/2, 19/2], [0, 0]]]], [[1, 21, 1, 5, 4], [v < -2^(1/2), (v^
2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [19/2, 19/2], [1528549/
524288, 3057099/1048576]]]], [[1, 21, 1, 5, 5], [v < -2^(1/2), (v^2+2)^(1/2) <
u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [-18, -18], [19/2, 19/2], [4, 4]]]], [[2, 1,
4, 1, 1], [v = -2^(1/2), u < -2, x = -1, y < -u^2+2, z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-8, -\
8], [-4, -4]]]], [[2, 1, 4, 1, 2], [v = -2^(1/2), u < -2, x = -1, y < -u^2+2,
z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-1, -1], [-8, -8], [-3, -3]]]], [[2, 1, 4, 1, 3], [v = -2^(1/2), u < -2,
x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-8, -8], [0, 0]]]], [[
2, 1, 4, 1, 4], [v = -2^(1/2), u < -2, x = -1, y < -u^2+2, z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-8, -\
8], [3, 3]]]], [[2, 1, 4, 1, 5], [v = -2^(1/2), u < -2, x = -1, y < -u^2+2, (1
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-1, -1], [-8, -8], [4, 4]]]], [[2, 10, 9, 2, 1], [v = -2^(1/2), u = 0, 1 < x,
y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [2, 2], [-5, -5], [-3, -3]]]], [[2, 10, 9, 2, 2], [v = -2^(1/2), u = 0
, 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[
2, 10, 9, 2, 3], [v = -2^(1/2), u = 0, 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2],
[-5, -5], [-1/4194304, -1/4194304]]]], [[2, 10, 9, 2, 4], [v = -2^(1/2), u = 0
, 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[2, 
10, 9, 2, 5], [v = -2^(1/2), u = 0, 1 < x, y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-5, -5],
[3, 3]]]], [[2, 12, 3, 2, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), y = -x
-2, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1]
, [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[2, 12, 3, 2, 2], [v = -2^(1/2), u
= 1, And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [-1482911/
1048576, -741455/524288]]]], [[2, 12, 3, 2, 3], [v = -2^(1/2), u = 1, And(-2 <
x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]
], [[2, 12, 3, 2, 4], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), y = -x-2, z =
2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2,
-3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[2, 12, 3, 2, 5], [
v = -2^(1/2), u = 1, And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-1/
2, -1/2], [3, 3]]]], [[2, 17, 1, 8, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x < -u^2+1, y = u^2-x-3, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-4, -4], [4699771/1048576, 
1174943/262144], [0, 0]]]], [[2, 18, 4, 4, 1], [v = -2^(1/2), u = 2, x = -1, y
= 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1
, -1], [0, 0], [-2, -2]]]], [[2, 18, 4, 4, 2], [v = -2^(1/2), u = 2, x = -1, y
= 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1
, -1], [0, 0], [-1, -1]]]], [[2, 18, 4, 4, 3], [v = -2^(1/2), u = 2, x = -1, y
= 0, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -741455/524288],
[2, 2], [-1, -1], [0, 0], [0, 0]]]], [[2, 18, 4, 4, 4], [v = -2^(1/2), u = 2,
x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [2
, 2], [-1, -1], [0, 0], [1, 1]]]], [[2, 18, 4, 4, 5], [v = -2^(1/2), u = 2, x
= -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [-1, -1], [0, 0], [2, 2]]]], [[3, 4, 9, 1, 1], [And(-2^(1/2) < v,v < -1),
u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2]
, [-5, -5], [-3, -3]]]], [[3, 4, 9, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-5, -\
5], [-1816187/1048576, -3632373/2097152]]]], [[3, 4, 9, 1, 3], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[3,
4, 9, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[3, 4, 9, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-5, -5], [3, 3]
]]], [[3, 6, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), 
And(-1-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/4, -\
1/4], [-2, -2]]]], [[3, 6, 3, 3, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1
< x,x < 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/
2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]], [[3, 6, 3, 3,
3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/4,
-1/4], [-1/8388608, -1/8388608]]]], [[3, 6, 3, 3, 4], [And(-2^(1/2) < v,v < -1
), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]
]], [[3, 6, 3, 3, 5], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), And
(-1-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-1/4, -\
1/4], [2, 2]]]], [[3, 11, 1, 9, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/
2) < u,u < -v), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [4, 4]
, [0, 0]]]], [[3, 12, 5, 6, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x
< 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 14, 9,
2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z < -2^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576
, 410915/262144], [2, 2], [-4, -4], [-3, -3]]]], [[3, 14, 9, 2, 2], [And(-2^(1
/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[3, 14, 9,
2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, And(-2^(
1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1643659/1048576, 410915/262144], [2, 2], [-4, -4], [0, 0]]]], [[3, 14, 9, 2,
4], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[3, 14
, 9, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y = -x-2, 2^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [-4, -4], [3, 3]]]], [[3, 16, 2, 7, 1], [And(
-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = -3, 4 < y, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3,
-3], [5, 5], [0, 0]]]], [[4, 3, 3, 5, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/
2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [1821767/2097152, 1821767/2097152], [-2, -2]]]], [
[4, 3, 3, 5, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1)
, And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [1821767/
2097152, 1821767/2097152], [-7818463/8388608, -3909231/4194304]]]], [[4, 3, 3,
5, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1]
, [-6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576],
[1821767/2097152, 1821767/2097152], [-3/8388608, -3/8388608]]]], [[4, 3, 3, 5,
4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [1821767/2097152, 
1821767/2097152], [977307/1048576, 244327/262144]]]], [[4, 3, 3, 5, 5], [v = -\
1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [1821767/2097152, 1821767/
2097152], [2, 2]]]], [[4, 4, 7, 4, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1)
, y = -x, z < 0], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288
], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[4, 4, 7, 4, 2], [v = -1, u = -2^(1
/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1, -1], [-1482911/
1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 4, 7, 4, 3
], [v = -1, u = -2^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[
-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [-1/2, -1/2], [1, 1]]
]], [[4, 11, 2, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, z < -
(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-1527887/1048576, -763943/524288], [-1, -1], [-3, -3]]]], [[4, 11, 2, 1, 2],
[v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, z = -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [-1, -1], [-410915/262144, -3287319/2097152]]]], [[4
, 11, 2, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y < 0, And(-(u^2-y)
^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [-1, -1], [-1/4194304, -\
1/4194304]]]], [[4, 11, 2, 1, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y
< 0, z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1527887/1048576, -763943/524288], [-1, -1], [1643659/1048576, 
410915/262144]]]], [[4, 11, 2, 1, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^
2, y < 0, (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [-1, -1], [3, 3]]]], [[4
, 12, 5, 5, 1], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576],
[-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[4, 12, 5, 5, 2], [v = -1, u = 2^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1
/2]]]], [[4, 12, 5, 5, 3], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[4, 12
, 5, 5, 4], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/
2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[4, 12, 5, 5, 5], [v = -1, u = 2^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1,
-1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[
5, 1, 7, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3]
, [1/2, 1/2], [-41/4, -41/4], [-5, -5]]]], [[5, 1, 7, 2, 2], [And(-1 < v,v < 0
), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-41/4, -41/4], [-\
1637089/524288, -3274177/1048576]]]], [[5, 1, 7, 2, 3], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2]
, [-41/4, -41/4], [0, 0]]]], [[5, 1, 7, 2, 4], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-41/4, -41/4], [3274177/
1048576, 1637089/524288]]]], [[5, 1, 7, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-41/4, -41/4], [5, 5]]]],
[[5, 2, 9, 7, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, And(1-x < y,y
< 0), z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [-1/2, -1/2
], [0, 0]]]], [[5, 12, 9, 6, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x,
y = 1-x, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-1, -1],
[0, 0]]]], [[6, 1, 3, 2, 1], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), y =
-u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/
2], [-9/2, -9/2], [-5, -5]]]], [[6, 1, 3, 2, 2], [v = 0, u < -2^(1/2), And(-u^
2-1 < x,x < -1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
-3, -3], [-11/2, -11/2], [-9/2, -9/2], [-3315889/1048576, -207243/65536]]]], [
[6, 1, 3, 2, 3], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), y = -u^2-x-1, 
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-3, -3],
[-11/2, -11/2], [-9/2, -9/2], [0, 0]]]], [[6, 1, 3, 2, 4], [v = 0, u < -2^(1/2
), And(-u^2-1 < x,x < -1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [
[0, 0], [-3, -3], [-11/2, -11/2], [-9/2, -9/2], [207243/65536, 3315889/1048576
]]]], [[6, 1, 3, 2, 5], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x < -1), y = -u^2
-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [
-9/2, -9/2], [5, 5]]]], [[6, 5, 5, 5, 1], [v = 0, And(-1 < u,u < 0), And(-1 <
x,x < u^2-1), And(0 < y,y < u^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-7/8, -7/8], [1/16, 1/16], [-2, -2]]]], [[6, 5, 5, 5, 2], [
v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), z = -
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/16, 1/
16], [-3780695/4194304, -7561389/8388608]]]], [[6, 5, 5, 5, 3], [v = 0, And(-1
< u,u < 0), And(-1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/
16, 1/16], [-5/16777216, -5/16777216]]]], [[6, 5, 5, 5, 4], [v = 0, And(-1 < u
,u < 0), And(-1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/16, 1/16], [945173/
1048576, 472587/524288]]]], [[6, 5, 5, 5, 5], [v = 0, And(-1 < u,u < 0), And(-\
1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [
[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/16, 1/16], [2, 2]]]], [[6, 7, 2, 6, 1],
[v = 0, And(0 < u,u < 1), x = -u^2-1, y = u^2+1, z < 0], [regular_chain, [[0,
0], [1/2, 1/2], [-5/4, -5/4], [5/4, 5/4], [-1, -1]]]], [[6, 7, 2, 6, 2], [v =
0, And(0 < u,u < 1), x = -u^2-1, y = u^2+1, z = 0], [regular_chain, [[0, 0], [
1/2, 1/2], [-5/4, -5/4], [5/4, 5/4], [0, 0]]]], [[6, 7, 2, 6, 3], [v = 0, And(
0 < u,u < 1), x = -u^2-1, y = u^2+1, 0 < z], [regular_chain, [[0, 0], [1/2, 1/
2], [-5/4, -5/4], [5/4, 5/4], [1, 1]]]], [[7, 1, 7, 7, 1], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [29/8, 29/8], [0, 0]]]], [[7
, 3, 1, 3, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [
1611109/2097152, 1611109/2097152], [-3, -3]]]], [[7, 3, 1, 3, 2], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y
< -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-4, -4], [1611109/2097152, 1611109/2097152], [-\
7540145/4194304, -471259/262144]]]], [[7, 3, 1, 3, 3], [And(0 < v,v < 1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2
-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[-343151/262144, -343151/262144], [-4, -4], [1611109/2097152, 1611109/2097152]
, [0, 0]]]], [[7, 3, 1, 3, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [
1611109/2097152, 1611109/2097152], [471259/262144, 1885037/1048576]]]], [[7, 3
, 1, 3, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [1611109/2097152, 
1611109/2097152], [3, 3]]]], [[7, 7, 7, 4, 1], [And(0 < v,v < 1), And(-v < u,u
< v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [-2, -2]]]], [
[7, 7, 7, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x <
0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0
, 0], [-3/8, -3/8], [-3/8, -3/8], [-1816187/2097152, -3632373/4194304]]]], [[7
, 7, 7, 4, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0)
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [-1/8388608, -\
1/8388608]]]], [[7, 7, 7, 4, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^
2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [908093/1048576, 454047/
524288]]]], [[7, 7, 7, 4, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v
^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [0, 0], [-3/8, -3/8], [-3/8, -3/8], [2, 2]]]], [[7, 9, 4, 5, 1], [
And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2)
, z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-1, -1], [424157/2097152, 424157/2097152], [-2, -2]]]], [[7, 9, 4,
5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y <
u^2-v^2), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [-7492423/
8388608, -3746211/4194304]]]], [[7, 9, 4, 5, 3], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152],
[-1, -1], [424157/2097152, 424157/2097152], [-3/8388608, -3/8388608]]]], [[7,
9, 4, 5, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 <
y,y < u^2-v^2), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152], [117069
/131072, 936553/1048576]]]], [[7, 9, 4, 5, 5], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [
424157/2097152, 424157/2097152], [2, 2]]]], [[7, 11, 5, 8, 1], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x
-1, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2
, -1/2], [505165/524288, 1010331/1048576], [0, 0]]]], [[7, 12, 7, 9, 1], [And(
0 < v,v < 1), u = (v^2+2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [
regular_chain, [[1/2, 1/2], [3/2, 3/2], [1/2, 1/2], [2, 2], [0, 0]]]], [[8, 3,
9, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y = -x
, z < 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [-1546383/2097152, -1546383/2097152], [-1,
-1]]]], [[8, 3, 9, 4, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 <
x,x < 1), y = -x, z = 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195
/4194304], [1546383/2097152, 1546383/2097152], [-1546383/2097152, -1546383/
2097152], [0, 0]]]], [[8, 3, 9, 4, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
And(u^2-2 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-1546383/
2097152, -1546383/2097152], [1, 1]]]], [[8, 5, 4, 3, 1], [v = 1, And(-2^(1/2)
< u,u < -1), x = -1, And(-u^2+1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-239655/1048576, -\
239655/1048576], [-3, -3]]]], [[8, 5, 4, 3, 2], [v = 1, And(-2^(1/2) < u,u < -\
1), x = -1, And(-u^2+1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [-1, -1], [-239655/1048576, -239655/
1048576], [-1162243/1048576, -581121/524288]]]], [[8, 5, 4, 3, 3], [v = 1, And
(-2^(1/2) < u,u < -1), x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1, -1], [-239655/1048576, -239655/1048576], [0, 0]]]], [[8, 5, 4, 3, 4], [v
= 1, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
239655/1048576, -239655/1048576], [581121/524288, 1162243/1048576]]]], [[8, 5,
4, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2+1 < y,y < 0), (1-
y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-1, -1], [-239655/1048576, -239655/1048576], [3, 3]]]], [[8, 11, 7, 7, 1], [v
= 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(0 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-\
569265/2097152, -569265/2097152], [35579/262144, 35579/262144], [-2, -2]]]], [
[8, 11, 7, 7, 2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [-569265/2097152, -569265/2097152], [35579/262144, 35579/
262144], [-386303/1048576, -193151/524288]]]], [[8, 11, 7, 7, 3], [v = 1, And(
1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [35579/262144, 35579/262144], [0
, 0]]]], [[8, 11, 7, 7, 4], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [35579/262144,
35579/262144], [193151/524288, 386303/1048576]]]], [[8, 11, 7, 7, 5], [v = 1,
And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [35579/262144, 35579/262144], [2, 2]]]], [[8, 13, 2
, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = 2*u^2-2, z = z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/524288,
-2594957/1048576], [3092763/1048576, 773191/262144], [0, 0]]]], [[9, 2, 1, 8,
1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3, y = 1-x, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-4, -4], [5, 5], [0, 0]]]], [[9, 3, 5, 9, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), u^2
-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1/2, -1/2], [2, 2], [0, 0]]]], [[9, 13
, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y <
-u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-3, -3], [-3, -3]]]], [
[9, 13, 8, 1, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0
, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-3, -3], [-1816187/
1048576, -3632373/2097152]]]], [[9, 13, 8, 1, 3], [And(1 < v,v < 2^(1/2)), And
(v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[9,
13, 8, 1, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y
< -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-3, -3], [908093/524288
, 1816187/1048576]]]], [[9, 13, 8, 1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0],
[-3, -3], [3, 3]]]], [[9, 15, 3, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-775271/
1048576, -1550541/2097152], [-3, -3]]]], [[9, 15, 3, 2, 2], [And(1 < v,v < 2^(
1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
= -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/
2097152], [-775271/1048576, -1550541/2097152], [-3301741/2097152, -825435/
524288]]]], [[9, 15, 3, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^
2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/
2097152], [-775271/1048576, -1550541/2097152], [0, 0]]]], [[9, 15, 3, 2, 4], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-775271/1048576, -1550541/2097152], [825435/
524288, 1650871/1048576]]]], [[9, 15, 3, 2, 5], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-
x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152]
, [-775271/1048576, -1550541/2097152], [3, 3]]]], [[10, 2, 2, 2, 1], [v = 2^(1
/2), u = -2, x = -3, y = 0, z < -3^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-2, -2], [-3, -3], [0, 0], [-3, -3]]]], [[10, 2, 2, 2, 2],
[v = 2^(1/2), u = -2, x = -3, y = 0, z = -3^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 2, 2, 2, 3], [v = 2^(1/2), u = -2, x = -3, y = 0, 
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[10, 2, 2,
2, 4], [v = 2^(1/2), u = -2, x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[10, 2, 2, 2, 5], [v = 2^(1/2), u = -2, x = -3, y = 0, 3
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3,
-3], [0, 0], [3, 3]]]], [[10, 3, 6, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/
2)), x = 0, And(-u^2+1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [-\
2602619/2097152, -2602619/2097152], [-3, -3]]]], [[10, 3, 6, 3, 2], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = 0, And(-u^2+1 < y,y < 0), z = -(-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339
/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [-4563/4096, -1168127
/1048576]]]], [[10, 3, 6, 3, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0
, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0
], [-2602619/2097152, -2602619/2097152], [0, 0]]]], [[10, 3, 6, 3, 4], [v = 2^
(1/2), And(-2 < u,u < -3^(1/2)), x = 0, And(-u^2+1 < y,y < 0), z = (-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [0, 0], [-2602619/2097152, -2602619/2097152], [1168127/
1048576, 4563/4096]]]], [[10, 3, 6, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/
2)), x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [-\
2602619/2097152, -2602619/2097152], [3, 3]]]], [[10, 9, 8, 2, 1], [v = 2^(1/2)
, And(-1 < u,u < 0), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-\
7/2, -7/2], [-3, -3]]]], [[10, 9, 8, 2, 2], [v = 2^(1/2), And(-1 < u,u < 0), x
= -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-7/2, -7/2], [-1738867/1048576, -\
3477733/2097152]]]], [[10, 9, 8, 2, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = -
u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-\
7/2, -7/2], [-1/4194304, -1/4194304]]]], [[10, 9, 8, 2, 4], [v = 2^(1/2), And(
-1 < u,u < 0), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-7/2, -7/2], [
869433/524288, 1738867/1048576]]]], [[10, 9, 8, 2, 5], [v = 2^(1/2), And(-1 <
u,u < 0), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-7/2, -7/2], [3, 3
]]]], [[10, 11, 1, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(0 < y
,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-4, -4], [5/8, 5/8], [-3, -3]]]], [[10, 11, 1, 3, 2], [
v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(0 < y,y < u^2-x-3), z = -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4
], [5/8, 5/8], [-7705429/4194304, -1926357/1048576]]]], [[10, 11, 1, 3, 3], [v
= 2^(1/2), And(0 < u,u < 1), x < u^2-3, And(0 < y,y < u^2-x-3), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [-4, -4], [5/8, 5/8], [0, 0]]]], [[10, 11, 1, 3, 4], [v = 2^(1/2),
And(0 < u,u < 1), x < u^2-3, And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [5/8,
5/8], [1926357/1048576, 963179/524288]]]], [[10, 11, 1, 3, 5], [v = 2^(1/2), 
And(0 < u,u < 1), x < u^2-3, And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [5/8,
5/8], [3, 3]]]], [[10, 15, 8, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x =
0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-3, -3], [-3, -3]]]], [
[10, 15, 8, 1, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0, y < -u^2+1, z
= -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[10, 15, 8, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = 0,
y < -u^2+1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-3, -3]
, [-1/4194304, -1/4194304]]]], [[10, 15, 8, 1, 4], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x = 0, y < -u^2+1, z = (-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[10, 15, 8, 1, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = 0, y < -u^2+1, (-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [0, 0], [-3, -3]
, [3, 3]]]], [[10, 17, 3, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^
2+1 < x,x < -1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/
2097152, -3651195/2097152], [-388511/524288, -1554043/2097152], [-3, -3]]]], [
[10, 17, 3, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1
), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-388511/524288, -1554043/2097152], [-825991/524288, -3303963/
2097152]]]], [[10, 17, 3, 2, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^
2+1 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/
2097152], [-1/4194304, -1/4194304]]]], [[10, 17, 3, 2, 4], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/
2097152], [1651981/1048576, 825991/524288]]]], [[10, 17, 3, 2, 5], [v = 2^(1/2
), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-3651195/2097152, -3651195/2097152], [-388511/524288, -\
1554043/2097152], [3, 3]]]], [[10, 19, 2, 7, 1], [v = 2^(1/2), 2 < u, x = -u^2
+1, 2*u^2-4 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3
, 3], [-8, -8], [15, 15], [0, 0]]]], [[11, 1, 4, 8, 1], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x = -1, y = u^2-v^2, z = z], [regular_chain, [[3, 3], [-5, -5], [-\
1, -1], [16, 16], [0, 0]]]], [[11, 5, 7, 8, 1], [2^(1/2) < v, And(-(v^2+1)^(1/
2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [
66399/262144, 265597/1048576], [-1, -1]]]], [[11, 5, 7, 8, 2], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-1062385/4194304, -\
1062385/4194304], [66399/262144, 265597/1048576], [0, 0]]]], [[11, 5, 7, 8, 3]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y =
-x, 0 < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [66399/262144, 265597/1048576], [1, 1]]]],
[[11, 7, 4, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(0
< y,y < -u^2+v^2), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [-2, -2]
]]], [[11, 7, 4, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1,
And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-6111549
/2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [-\
1811727/2097152, -3623453/4194304]]]], [[11, 7, 4, 5, 3], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [133001/524288, 133001/524288], [-1/8388608, -1/8388608]]]
], [[11, 7, 4, 5, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, 
And(0 < y,y < -u^2+v^2), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-1, -1], [133001/524288, 133001/524288], [905863/
1048576, 113233/131072]]]], [[11, 7, 4, 5, 5], [2^(1/2) < v, And(-v < u,u < -(
v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1], [
133001/524288, 133001/524288], [2, 2]]]], [[11, 13, 1, 1, 1], [2^(1/2) < v, 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-1
, -1], [-4, -4]]]], [[11, 13, 1, 1, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-1, -1], [-146543/65536, -\
2344687/1048576]]]], [[11, 13, 1, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [-1,
-1], [0, 0]]]], [[11, 13, 1, 1, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3, 3]
, [1435023/524288, 1435023/524288], [-4, -4], [-1, -1], [2344687/1048576, 
146543/65536]]]], [[11, 13, 1, 1, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-4, -4], [-1, -1], [4, 4]]]], [[11, 14,
3, 6, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [3/2,
3/2], [-1, -1]]]], [[11, 14, 3, 6, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2
< x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[11, 14, 3, 6, 3], [2^(1/2) <
v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[
11, 19, 2, 5, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[3, 3
], [3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [
5748437/2097152, 5748437/2097152], [0, 0]]]], [[11, 20, 4, 6, 1], [2^(1/2) < v
, u = (v^2+2)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1, -1], [1, 1], [-1, -1]]]], [[11, 20, 4, 6, 2], [
2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [0, 0]]]], [[11, 20, 4,
6, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [-1, -1], [1, 1], [1, 1]]]], [[1,
5, 7, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x
< 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [-195745/262144, -195745/262144], [-3, -3]]]], [[1, 5, 7, 3
, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304]
, [-195745/262144, -195745/262144], [-1048577/1048576, -1]]]], [[1, 5, 7, 3, 3
], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And
(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304
, -1062385/4194304], [-195745/262144, -195745/262144], [0, 0]]]], [[1, 5, 7, 3
, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3
, -3], [-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304],
[-195745/262144, -195745/262144], [1, 1048577/1048576]]]], [[1, 5, 7, 3, 5], [
v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), And(-u^
2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-\
195745/262144, -195745/262144], [3, 3]]]], [[1, 7, 4, 4, 1], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[1,
7, 4, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = 0, z =
-1], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1]
, [0, 0], [-1, -1]]]], [[1, 7, 4, 4, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-1, -1], [0, 0], [0, 0]]]], [[1, 7, 4, 4,
4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-1, -1], [0,
0], [1, 1]]]], [[1, 7, 4, 4, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-1, -1], [0, 0], [2, 2]]]], [[1, 11, 6, 7, 1], [v < -2^(1/2), And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, -u^2+v^2-1 < y, z = z], [
regular_chain, [[-3, -3], [0, 0], [0, 0], [9, 9], [0, 0]]]], [[1, 12, 9, 5, 1]
, [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [-3/2, -3/2],
[0, 0]]]], [[1, 19, 1, 9, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-4, -4], [6, 6], [0, 0]]]], [[1, 20, 4, 5,
1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/
2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [
1/2, 1/2], [-2, -2]]]], [[1, 20, 4, 5, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x
= -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [3477733
/1048576, 1738867/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[1, 20, 4, 5, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(
0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3
], [3477733/1048576, 1738867/524288], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 20
, 4, 5, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = (1
-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1,
-1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[1, 20, 4, 5, 5], [v < -2^
(1/2), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [1/2, 1
/2], [2, 2]]]], [[2, 3, 5, 1, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And
(-1 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2],
[-3, -3], [-3, -3]]]], [[2, 3, 5, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), And(-1 < x,x < 0), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2,
-1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[2, 3, 5, 1, 3], [v =
-2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y < -u^2-x+1, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-3, -3], [0, 0]]
]], [[2, 3, 5, 1, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x <
0), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [-3, -3],
[980853/524288, 1961707/1048576]]]], [[2, 3, 5, 1, 5], [v = -2^(1/2), And(-2 <
u,u < -3^(1/2)), And(-1 < x,x < 0), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[2, 4, 9, 4, 1], [v = -2
^(1/2), u = -3^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-2, -\
2], [-1, -1]]]], [[2, 4, 9, 4, 2], [v = -2^(1/2), u = -3^(1/2), 1 < x, y = -x,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576
, -3632373/2097152], [2, 2], [-2, -2], [0, 0]]]], [[2, 4, 9, 4, 3], [v = -2^(1
/2), u = -3^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-2, -2], [1, 1
]]]], [[2, 7, 3, 6, 1], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1
), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [853897/1048576, 426949/524288], [-2, -2]]]], [[2, 7, 3, 6,
2], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+1, z =
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [-1417877/2097152, -354469/524288]]]], [[2, 7,
3, 6, 3], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+
1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-2666417/
2097152, -2666417/2097152], [853897/1048576, 426949/524288], [0, 0]]]], [[2, 7
, 3, 6, 4], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-
x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [354469/524288, 708939/1048576]]]], [[2, 7, 3,
6, 5], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 < x,x < -1), y = -u^2-x+1,
(u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [2, 2]]]], [[2, 8, 7, 5, 1], [v = -2^(1/2), u
= -1, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2,
13, 1, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(u^2-x-3 < y,y <
-u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[
2, 13, 1, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(u^2-x-3 < y,
y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1265743/1048576, 1265743/1048576], [-3, -3], [2, 2], [-1, -1]]]], [
[2, 13, 1, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), x < u^2-3, And(u^2-x-3 < y
,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [2, 2], [0, 0]]]], [[2, 13, 1, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x <
u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [2, 2], [1, 1]]]], [[2, 13, 1, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), x <
u^2-3, And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3, -3]
, [2, 2], [2, 2]]]], [[2, 14, 5, 2, 1], [v = -2^(1/2), u = -v, And(0 < x,x < 1
), y = -1-x, z < -1], [regular_chain, [[-1482911/1048576, -741455/524288], [
741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[2, 
14, 5, 2, 2], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, z = -1], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[2, 14, 5, 2, 3], [v = -2^(1
/2), u = -v, And(0 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [
[-1482911/1048576, -741455/524288], [741455/524288, 1482911/1048576], [1/2, 1/
2], [-3/2, -3/2], [0, 0]]]], [[2, 14, 5, 2, 4], [v = -2^(1/2), u = -v, And(0 <
x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288
], [741455/524288, 1482911/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[2,
14, 5, 2, 5], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[3, 1, 3, 7, 1], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^
2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [-10006449/2097152, -10006449/2097152], [8433585/1048576, 8433585/
1048576], [0, 0]]]], [[3, 2, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)
^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-4, -4], [-3,
-3]]]], [[3, 2, 6, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0
, y < -3, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-4, -4], [-2, -2]]]],
[[3, 2, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, y < -3
, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-4, -4], [0,
0]]]], [[3, 2, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0,
y < -3, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [0, 0], [-4, -4], [2, 2]]]], [[3, 2, 6
, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, y < -3, (-y)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [0, 0], [-4, -4], [3, 3]]]], [[3, 7, 3, 4, 1], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x <
-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [0, 0], [-3, -3]]]], [[3, 7, 3, 4, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-2695357/2097152, -2695357/2097152], [0, 0], [-594379/
524288, -1188757/1048576]]]], [[3, 7, 3, 4, 3], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [0,
0], [0, 0]]]], [[3, 7, 3, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^
2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-2695357/2097152, -2695357/2097152], [0, 0], [1188757/1048576, 594379/524288]
]]], [[3, 7, 3, 4, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)
), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [0, 0], [3, 3]]]], [[3, 8, 7, 3, 1], [And(
-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1417877/2097152, -354469/524288], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[3
, 8, 7, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1)
, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-3/2, -3
/2], [-1, -1]]]], [[3, 8, 7, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/
2097152, -354469/524288], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[3, 8, 7, 3, 4
], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x-2 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-3/2, -3/2], [1, 1]
]]], [[3, 8, 7, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 <
x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1/2, 1/2], [-\
3/2, -3/2], [2, 2]]]], [[4, 1, 3, 9, 1], [v = -1, u < -3^(1/2), And(-u^2 < x,x
< -1), u^2-x-2 < y, z = z], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [13
, 13], [0, 0]]]], [[4, 2, 6, 3, 1], [v = -1, u = -3^(1/2), x = 0, And(-3 < y,y
< 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373
/2097152], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[4, 2, 6, 3, 2], [v = -1, u = -
3^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [0, 0], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[4, 2, 6, 3, 3], [v = -1, u = -3^(1/2), x = 0, 
And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3/2, -3/2], [0, 0]]]], [[
4, 2, 6, 3, 4], [v = -1, u = -3^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2
)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [0, 0], [
-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[4, 2, 6, 3, 5], [v = -1, u
= -3^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [0, 0], [-3/2, -3/2], [3, 3]]]], [[4
, 7, 3, 8, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = -x, z <
0], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [11/8, 11/8], [-1
, -1]]]], [[4, 7, 3, 8, 2], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1),
y = -x, z = 0], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [11/8
, 11/8], [0, 0]]]], [[4, 7, 3, 8, 3], [v = -1, And(-1 < u,u < 0), And(u^2-2 <
x,x < -1), y = -x, 0 < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -\
11/8], [11/8, 11/8], [1, 1]]]], [[4, 8, 7, 7, 1], [v = -1, u = 0, And(0 < x,x
< 1), 0 < y, z = z], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [1, 1], [0
, 0]]]], [[4, 14, 7, 6, 1], [v = -1, u = 3^(1/2), And(0 < x,x < 1), y = 0, z =
z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [
0, 0], [0, 0]]]], [[5, 1, 1, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x
< -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3]
, [-11, -11], [0, 0], [-5, -5]]]], [[5, 1, 1, 2, 2], [And(-1 < v,v < 0), u < -
(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-3, -3], [-11, -11], [0, 0], [-1738867/524288, -3477733/1048576]]]],
[[5, 1, 1, 2, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [-11, -11], [0, 0], [0, 0]]]], [[5, 1, 1, 2, 4], [And(-1 < v,v < 0), u < -
(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-3, -3], [-11, -11], [0, 0], [3477733/1048576, 1738867/524288]]]], [[5
, 1, 1, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = 0,
(-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [-11, -11], [0, 0],
[5, 5]]]], [[5, 5, 3, 9, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v)
, And(-u^2+v^2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [
-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [3,
3], [0, 0]]]], [[5, 7, 1, 1, 1], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^
2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3
, -3], [-1, -1], [-3, -3]]]], [[5, 7, 1, 1, 2], [And(-1 < v,v < 0), And(v < u,
u < -v), x < u^2-v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [0, 0], [-3, -3], [-1, -1], [-2, -2]]]], [[5, 7, 1, 1, 3], [And(-1 < v,v <
0), And(v < u,u < -v), x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-1, -1], [0, 0]]]],
[[5, 7, 1, 1, 4], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^2-1, y < 0,
z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3], [-1, -1],
[2, 2]]]], [[5, 7, 1, 1, 5], [And(-1 < v,v < 0), And(v < u,u < -v), x < u^2-v^
2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [0, 0], [-3, -3]
, [-1, -1], [3, 3]]]], [[5, 9, 3, 8, 1], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [630327/524288, 1260655/1048576], [-1, -1]]]], [[5, 9, 3, 8, 2], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-2521309/2097152, -2521309/2097152], [630327/524288, 1260655/
1048576], [0, 0]]]], [[5, 9, 3, 8, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [-2521309/2097152, -2521309/
2097152], [630327/524288, 1260655/1048576], [1, 1]]]], [[5, 10, 7, 7, 1], [And
(-1 < v,v < 0), u = (v^2+1)^(1/2), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1/2, 1/2], [1
, 1], [0, 0]]]], [[6, 1, 8, 9, 1], [v = 0, u < -2^(1/2), x = 1, u^2-2 < y, z =
z], [regular_chain, [[0, 0], [-3, -3], [1, 1], [8, 8], [0, 0]]]], [[6, 3, 2, 5
, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, And(u^2+1 < y,y < 2*u^2),
z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-\
2576463/1048576, -1288231/524288], [1408059/524288, 1408059/524288], [0, 0]]]]
, [[6, 9, 3, 9, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-u^2-1 < x,x < -1), u^
2-x-1 < y, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576]
, [-1812519/1048576, -1812519/1048576], [4, 4], [0, 0]]]], [[6, 10, 6, 3, 1],
[v = 0, u = 2^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [-3/2, -3/2]
, [-3, -3]]]], [[6, 10, 6, 3, 2], [v = 0, u = 2^(1/2), x = 0, And(-3 < y,y < 0
), z = -(-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576]
, [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[6, 10, 6, 3,
3], [v = 0, u = 2^(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y
)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0],
[-3/2, -3/2], [0, 0]]]], [[6, 10, 6, 3, 4], [v = 0, u = 2^(1/2), x = 0, And(-3
< y,y < 0), z = (-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[6, 10,
6, 3, 5], [v = 0, u = 2^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [-3/2, -3/2]
, [3, 3]]]], [[7, 3, 7, 3, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/1048576, 243021/1048576], [-767309/524288, -767309/524288], [-3, -3]]]]
, [[7, 3, 7, 3, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/
1048576, 243021/1048576], [-767309/524288, -767309/524288], [-1163761/1048576,
-72735/65536]]]], [[7, 3, 7, 3, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-767309/
524288, -767309/524288], [0, 0]]]], [[7, 3, 7, 3, 4], [And(0 < v,v < 1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), And(-u^2+v^2-
x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [243021/1048576, 243021/1048576], [-767309/524288, -\
767309/524288], [72735/65536, 1163761/1048576]]]], [[7, 3, 7, 3, 5], [And(0 <
v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1)
, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-767309
/524288, -767309/524288], [3, 3]]]], [[7, 5, 2, 6, 1], [And(0 < v,v < 1), And(
-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-736367/
524288, -1472733/1048576], [1472733/1048576, 736367/524288], [-1, -1]]]], [[7,
5, 2, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1
, y = u^2-v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-736367/524288, -1472733/1048576], [1472733/1048576, 736367
/524288], [0, 0]]]], [[7, 5, 2, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-736367/524288, -1472733/1048576], [
1472733/1048576, 736367/524288], [1, 1]]]], [[8, 1, 9, 6, 1], [v = 1, u < -3^(
1/2), And(1 < x,x < u^2-2), y = 0, z = z], [regular_chain, [[1, 1], [-3, -3],
[4, 4], [0, 0], [0, 0]]]], [[8, 3, 2, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(
1/2)), x = -u^2, 2*u^2-2 < y, z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [4, 4], [0, 0
]]]], [[8, 7, 9, 5, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(-u^2-
x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2
, 1/2], [-5/8, -5/8], [-2, -2]]]], [[8, 7, 9, 5, 2], [v = 1, And(-1 < u,u < 0)
, And(0 < x,x < 1), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-5/8, -5/8], [-46341/131072, -370727/
1048576]]]], [[8, 7, 9, 5, 3], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), 
And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-5/8, -5/8], [0, 0]]]], [[8
, 7, 9, 5, 4], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), And(-u^2-x < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-5
/8, -5/8], [370727/1048576, 46341/131072]]]], [[8, 7, 9, 5, 5], [v = 1, And(-1
< u,u < 0), And(0 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-5/8, -5/8], [2, 2]]]], [[8
, 9, 4, 4, 1], [v = 1, And(0 < u,u < 1), x = -1, y = 0, z < -1], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [0, 0], [-2, -2]]]], [[8, 9, 4,
4, 2], [v = 1, And(0 < u,u < 1), x = -1, y = 0, z = -1], [regular_chain, [[1,
1], [1/2, 1/2], [-1, -1], [0, 0], [-1, -1]]]], [[8, 9, 4, 4, 3], [v = 1, And(0
< u,u < 1), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1, 1], [1/2,
1/2], [-1, -1], [0, 0], [0, 0]]]], [[8, 9, 4, 4, 4], [v = 1, And(0 < u,u < 1),
x = -1, y = 0, z = 1], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [0, 0],
[1, 1]]]], [[8, 9, 4, 4, 5], [v = 1, And(0 < u,u < 1), x = -1, y = 0, 1 < z],
[regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [0, 0], [2, 2]]]], [[8, 15, 4,
5, 1], [v = 1, 3^(1/2) < u, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[8, 15, 4,
5, 2], [v = 1, 3^(1/2) < u, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[8, 15, 4, 5, 3], [v = 1, 3^(1/2) < u, x = -1, And(0 < y,
y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [3, 3
], [-1, -1], [1/2, 1/2], [0, 0]]]], [[8, 15, 4, 5, 4], [v = 1, 3^(1/2) < u, x
= -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1
, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[8, 15, 4, 5, 5], [v = 1
, 3^(1/2) < u, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1
, 1], [3, 3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[9, 1, 6, 4, 1], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[9,
1, 6, 4, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, y = 0, z = 0]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [0, 0
], [0, 0]]]], [[9, 1, 6, 4, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= 0, y = 0, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [0, 0], [0, 0], [1, 1]]]], [[9, 5, 9, 6, 1], [And(1 < v,v < 2^(1/2)), And
(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -x, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/
2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 5, 9, 6, 2], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 5, 9, 6, 3], [And(
1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -x,
0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 7, 6, 1, 1], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*
u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-3, -3], [-3, -3]]]], [[9, 7, 6, 1, 2], [And(1 < v,v < 2^(1/2
)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u^2
-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-3, -3
], [-3883701/2097152, -7767401/4194304]]]], [[9, 7, 6, 1, 3], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(
-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [-3, -3], [-1/8388608, -1/8388608]]]], [[9, 7, 6, 1,
4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y
< 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-3, -3], [970925/524288, 1941851/1048576]]]], [[9, 7, 6, 1, 5
], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y
< 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-3, -3], [3, 3]]]], [[9, 9, 7, 9, 1], [And(1 < v,v < 2^(1/2))
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(0 < x,x < -u^2+v^2-1), -u^2+v
^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [239655/1048576, 239655/1048576], [2, 2], [0, 0]]]], [[9, 11, 3, 1, 1], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1
), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [-2, -2], [-3, -3]]]], [[9, 11, 3, 1, 2], [And(1 < v,v < 2^(
1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-\
1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [-2, -2
], [-950285/524288, -7602279/4194304]]]], [[9, 11, 3, 1, 3], [And(1 < v,v < 2^
(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304
, -5390713/4194304], [-2, -2], [-3/8388608, -3/8388608]]]], [[9, 11, 3, 1, 4],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -\
1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [-2, -2], [1900569/1048576, 950285/524288]]]], [[9, 11, 3, 1
, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x
,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304
, -5390713/4194304], [-2, -2], [3, 3]]]], [[9, 15, 9, 6, 1], [And(1 < v,v < 2^
(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y
= u^2-v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [-136653/
524288, -273305/1048576], [0, 0]]]], [[9, 17, 2, 5, 1], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-4478937/
524288, -8957873/1048576], [6194117/524288, 6194117/524288], [0, 0]]]], [[10,
5, 8, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y < -u^2+1, z < -(
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [0, 0], [-3, -3], [-3, -3]]]], [[10, 5, 8, 1, 2],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y < -u^2+1, z = -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 5,
8, 1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y < -u^2+1, And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-6598195/4194304, -6598195/4194304], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[10, 5, 8, 1, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0,
y < -u^2+1, z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-6598195/4194304, -6598195/4194304], [0, 0], [-3, -3], [908093/524288, 
1816187/1048576]]]], [[10, 5, 8, 1, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, x = 0, y < -u^2+1, (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-3, -3], [3, 3]]]],
[[10, 7, 4, 7, 1], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(-u^2+2 < y,y
< 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576]
, [-2, -2]]]], [[10, 7, 4, 7, 2], [v = 2^(1/2), And(-v < u,u < -1), x = -1, 
And(-u^2+2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [808921/
1048576, 808921/1048576], [-501295/1048576, -250647/524288]]]], [[10, 7, 4, 7,
3], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(-u^2+2 < y,y < 1), And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [808921/1048576, 
808921/1048576], [0, 0]]]], [[10, 7, 4, 7, 4], [v = 2^(1/2), And(-v < u,u < -1
), x = -1, And(-u^2+2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [
808921/1048576, 808921/1048576], [250647/524288, 501295/1048576]]]], [[10, 7,
4, 7, 5], [v = 2^(1/2), And(-v < u,u < -1), x = -1, And(-u^2+2 < y,y < 1), (1-
y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576], [2, 2]
]]], [[10, 11, 7, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x < -u^2+1)
, And(0 < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/8, 3/8], [3/16, 3/16], [0, 0]]]], [[10, 13, 2, 6, 1],
[v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y = -u^2+3, z < 0], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
3235683/2097152, -1617841/1048576], [1617841/1048576, 808921/524288], [-1, -1]
]]], [[10, 13, 2, 6, 2], [v = 2^(1/2), And(1 < u,u < v), x = u^2-3, y = -u^2+3
, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-3235683/2097152, -1617841/1048576], [1617841/1048576, 
808921/524288], [0, 0]]]], [[10, 13, 2, 6, 3], [v = 2^(1/2), And(1 < u,u < v),
x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [1617841/1048576, 808921/524288], [1, 1]]]], [[11, 3, 6, 3, 1], [2^(
1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [0, 0], [-653799/524288, -653799/524288], [-3, -3]]]], [[11,
3, 6, 3, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0,
And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [0, 0], [-653799/524288, -653799/524288],
[-1170947/1048576, -585473/524288]]]], [[11, 3, 6, 3, 3], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(
-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [0, 0], [-653799/524288, -653799/524288], [0, 0]]]], [[11, 3
, 6, 3, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, 
And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[3, 3], [-3396811
/1048576, -3396811/1048576], [0, 0], [-653799/524288, -653799/524288], [585473
/524288, 1170947/1048576]]]], [[11, 3, 6, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z]
, [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [0, 0], [-\
653799/524288, -653799/524288], [3, 3]]]], [[11, 5, 1, 4, 1], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -\
3], [197471/131072, 1579769/1048576], [-3, -3]]]], [[11, 5, 1, 4, 2], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [
-3, -3], [197471/131072, 1579769/1048576], [-1281417/1048576, -160177/131072]]
]], [[11, 5, 1, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+
v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [197471/
131072, 1579769/1048576], [0, 0]]]], [[11, 5, 1, 4, 4], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [
197471/131072, 1579769/1048576], [160177/131072, 1281417/1048576]]]], [[11, 5,
1, 4, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = -u
^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [-3, -3], [197471/131072, 1579769/1048576], [3, 3]]]], [[11,
9, 8, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^
2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-\
395403/131072, -3163223/1048576], [-3, -3]]]], [[11, 9, 8, 2, 2], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/1048576, 133259/262144], [-395403/131072, -3163223/
1048576], [-3321417/2097152, -415177/262144]]]], [[11, 9, 8, 2, 3], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2
, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-\
395403/131072, -3163223/1048576], [0, 0]]]], [[11, 9, 8, 2, 4], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [533035/1048576, 133259/262144], [-395403/131072, -3163223/1048576],
[415177/262144, 1660709/1048576]]]], [[11, 9, 8, 2, 5], [2^(1/2) < v, And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2
+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608
], [533035/1048576, 133259/262144], [-395403/131072, -3163223/1048576], [3, 3]
]]], [[11, 11, 1, 3, 1], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2
)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [0, 0], [-11, -11], [1/2, 1/2], [-5, -5]]]], [[11, 11,
1, 3, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2
-1, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
0, 0], [-11, -11], [1/2, 1/2], [-3397775/1048576, -1698887/524288]]]], [[11, 
11, 1, 3, 3], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2
-v^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[3, 3], [0, 0], [-11, -11], [1/2, 1/2], [0, 0]]]], [[11, 11,
1, 3, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2
-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [0
, 0], [-11, -11], [1/2, 1/2], [1698887/524288, 3397775/1048576]]]], [[11, 11,
1, 3, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2
-1, And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0
, 0], [-11, -11], [1/2, 1/2], [5, 5]]]], [[11, 17, 1, 2, 1], [2^(1/2) < v, And
(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [0, 0], [-3,
-3]]]], [[11, 17, 1, 2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u
^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[
11, 17, 1, 2, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1,
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[11, 
17, 1, 2, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y =
0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[11, 17, 1, 2, 5], [2^(
1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z]
, [regular_chain, [[3, 3], [403851/131072, 403851/131072], [-3, -3], [0, 0], [
3, 3]]]], [[11, 18, 3, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x <
-1), -x < y, z = z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576],
[-3/2, -3/2], [3, 3], [0, 0]]]], [[1, 1, 10, 4, 1], [v < -2^(1/2), u < -(v^2+2
)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-3, -3], [-5
, -5], [15, 15], [-15, -15], [-1, -1]]]], [[1, 1, 10, 4, 2], [v < -2^(1/2), u
< -(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-3,
-3], [-5, -5], [15, 15], [-15, -15], [0, 0]]]], [[1, 1, 10, 4, 3], [v < -2^(1/
2), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain,
[[-3, -3], [-5, -5], [15, 15], [-15, -15], [1, 1]]]], [[1, 3, 4, 2, 1], [v < -
2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-3, -3]]]], [[1, 3, 4
, 2, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y
= -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-\
1655969/1048576, -3311937/2097152]]]], [[1, 3, 4, 2, 3], [v < -2^(1/2), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-1/4194304
, -1/4194304]]]], [[1, 3, 4, 2, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-1566621/1048576,
-391655/262144], [51749/32768, 1655969/1048576]]]], [[1, 3, 4, 2, 5], [v < -2^
(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [-1566621/1048576, -391655/262144], [3, 3]]]], [[1, 7, 10,
3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,
y < -u^2+v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [1, 1], [-2, -2], [-2, -2]]]], [[1, 7, 10, 3, 2],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^
2+v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-2, -2], [-1, -1]]]], [[1, 7, 10, 3, 3], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2),
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [1, 1], [-2, -2], [0, 0]]]], [[1, 7, 10, 3, 4], [
v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2
+v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-2, -2], [1, 1]]]], [[1, 7, 10, 3, 5], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), (-
y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [1, 1], [-2, -2], [2, 2]]]], [[1, 9, 5, 6, 1], [v < -2^(1/2), And(-(
v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2]
, [1/2, 1/2], [-1, -1]]]], [[1, 9, 5, 6, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [1/2, 1/2], [0,
0]]]], [[1, 9, 5, 6, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1
/2)), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [-22960369
/8388608, -22960369/8388608], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 15, 1,
7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(-u^2+v
^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3, -3], [5774885/2097152, 5774885/2097152], [-2,
-2]]]], [[1, 15, 1, 7, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u
^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [5774885/2097152, 
5774885/2097152], [-16263/32768, -520415/1048576]]]], [[1, 15, 1, 7, 3], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3, -3], [5774885/2097152, 5774885/2097152
], [0, 0]]]], [[1, 15, 1, 7, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3, -3], [5774885/2097152, 
5774885/2097152], [520415/1048576, 16263/32768]]]], [[1, 15, 1, 7, 5], [v < -2
^(1/2), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3, -3], [5774885/2097152, 5774885/2097152], [2, 2]]]], [[1, 16, 5,
4, 1], [v < -2^(1/2), u = -v, And(0 < x,x < 1), y = -x, z < 0], [regular_chain
, [[-3, -3], [3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 16, 5, 4, 2],
[v < -2^(1/2), u = -v, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3,
-3], [3, 3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 16, 5, 4, 3], [v < -2^(
1/2), u = -v, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [3,
3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 21, 1, 4, 1], [v < -2^(1/2), (v^
2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-18, -18], [1, 1], [-6, -6]]]], [[1, 21, 1,
4, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [1, 1], [-\
2161695/524288, -4323389/1048576]]]], [[1, 21, 1, 4, 3], [v < -2^(1/2), (v^2+2
)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [1, 1], [0
, 0]]]], [[1, 21, 1, 4, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1,
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [
-18, -18], [1, 1], [4323389/1048576, 2161695/524288]]]], [[1, 21, 1, 4, 5], [v
< -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [1, 1], [6, 6]]]], [
[2, 1, 3, 9, 1], [v = -2^(1/2), u < -2, And(-u^2+1 < x,x < -1), u^2-x-3 < y, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-9/2, -9
/2], [12, 12], [0, 0]]]], [[2, 10, 9, 3, 1], [v = -2^(1/2), u = 0, 1 < x, And(
-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[2, 10, 9, 3, 2],
[v = -2^(1/2), u = 0, 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-7/2, -7/
2], [-1284239/1048576, -642119/524288]]]], [[2, 10, 9, 3, 3], [v = -2^(1/2), u
= 0, 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-7/2, -7/
2], [0, 0]]]], [[2, 10, 9, 3, 4], [v = -2^(1/2), u = 0, 1 < x, And(-x-3 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[2, 10, 9,
3, 5], [v = -2^(1/2), u = 0, 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [2, 2], [-7/2, -7/
2], [3, 3]]]], [[2, 12, 3, 3, 1], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), 
And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[2, 12, 3, 3
, 2], [v = -2^(1/2), u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2,
-3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[2, 12, 3, 3, 3], [v
= -2^(1/2), u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1, 1], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[2, 12, 3, 3, 4], [v = -2^(1/2)
, u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-1/
4, -1/4], [1387135/1048576, 10837/8192]]]], [[2, 12, 3, 3, 5], [v = -2^(1/2),
u = 1, And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3/2, -3/2], [-1/
4, -1/4], [3, 3]]]], [[2, 17, 1, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x < -u^2+1, And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [
8894075/2097152, 8894075/2097152], [0, 0]]]], [[2, 18, 4, 3, 1], [v = -2^(1/2)
, u = 2, x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-1, -1], [-3, -3]]]], [[2
, 18, 4, 3, 2], [v = -2^(1/2), u = 2, x = -1, And(-2 < y,y < 0), z = -(1-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [
-1, -1], [-1482911/1048576, -741455/524288]]]], [[2, 18, 4, 3, 3], [v = -2^(1/
2), u = 2, x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-1, -1
], [0, 0]]]], [[2, 18, 4, 3, 4], [v = -2^(1/2), u = 2, x = -1, And(-2 < y,y <
0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[2, 18, 4, 3, 5]
, [v = -2^(1/2), u = 2, x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-1, -1], [-1, -1]
, [3, 3]]]], [[3, 4, 9, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -4], [-3, -3]]]], [
[3, 4, 9, 2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 1 < x, y = -x-\
2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [2, 2], [-4, -4], [-1482911/1048576, -741455
/524288]]]], [[3, 4, 9, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -\
4], [0, 0]]]], [[3, 4, 9, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2)
, 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -4], [741455/524288
, 1482911/1048576]]]], [[3, 4, 9, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+
1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [2, 2], [-4, -4], [3, 3]
]]], [[3, 6, 3, 4, 1], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3,
6, 3, 4, 2], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x < 0), y = 0, z = -
(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[3, 6, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u = v, And(-1 < x,x
< 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2]
, [0, 0], [0, 0]]]], [[3, 6, 3, 4, 4], [And(-2^(1/2) < v,v < -1), u = v, And(-\
1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0],
[741455/1048576, 46341/65536]]]], [[3, 6, 3, 4, 5], [And(-2^(1/2) < v,v < -1),
u = v, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2]
, [0, 0], [2, 2]]]], [[3, 11, 1, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), x < u^2-v^2-1, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [3, 3]
, [-1, -1]]]], [[3, 11, 1, 8, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [3, 3], [0, 0
]]]], [[3, 11, 1, 8, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u <
-v), x < u^2-v^2-1, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [3, 3], [1, 1]]]
], [[3, 12, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), And
(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3,
14, 9, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1643659/1048576, 410915/262144], [2, 2], [-5, -5], [-3, -3]]]], [[3, 14, 9, 1,
2], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152
]]]], [[3, 14, 9, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x,
y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [-5, -5
], [-1/4194304, -1/4194304]]]], [[3, 14, 9, 1, 4], [And(-2^(1/2) < v,v < -1),
u = (v^2+1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [2, 2],
[-5, -5], [908093/524288, 1816187/1048576]]]], [[3, 14, 9, 1, 5], [And(-2^(1/2
) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [2, 2], [-5, -5], [3, 3]]]], [[3, 16, 2, 6, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x = -3, y = 4, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [4, 4],
[0, 0]]]], [[4, 3, 3, 6, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2
< x,x < -1), y = -x, z < 0], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1821767/1048576, -1821767/1048576], [1821767/1048576, 
1821767/1048576], [-1, -1]]]], [[4, 3, 3, 6, 2], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), And(-u^2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-1821767/1048576, -1821767/1048576], [
1821767/1048576, 1821767/1048576], [0, 0]]]], [[4, 3, 3, 6, 3], [v = -1, And(-
3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1821767/
1048576, -1821767/1048576], [1821767/1048576, 1821767/1048576], [1, 1]]]], [[4
, 4, 7, 5, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z =
z], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2],
[-1/4, -1/4], [0, 0]]]], [[4, 11, 1, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), x
< -u^2, -x < y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3, -3], [4, 4], [0, 0]]]], [[4, 12, 5, 4, 1], [v = -1, u = 2^(1/2)
, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4, 12, 5
, 4, 2], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0,
0], [-1482911/2097152, -741455/1048576]]]], [[4, 12, 5, 4, 3], [v = -1, u = 2^
(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0,
0], [0, 0]]]], [[4, 12, 5, 4, 4], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y =
0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576
], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[4, 12, 5, 4, 5],
[v = -1, u = 2^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [0,
0], [2, 2]]]], [[5, 1, 7, 3, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0
< x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3, -3], [1/2, 1/2], [-43/8, -43/8], [-4, -4]]]], [[5, 1, 7, 3
, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x
-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [
1/2, 1/2], [-43/8, -43/8], [-1157597/524288, -2315193/1048576]]]], [[5, 1, 7,
3, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-
x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-3, -3], [1/2, 1/2], [-43/8, -43/8], [0, 0]]]], [[5, 1, 7, 3, 4],
[And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/
2], [-43/8, -43/8], [2315193/1048576, 1157597/524288]]]], [[5, 1, 7, 3, 5], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2
], [-43/8, -43/8], [4, 4]]]], [[5, 2, 9, 8, 1], [And(-1 < v,v < 0), u = -(v^2+
2)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [
2, 2], [0, 0], [0, 0]]]], [[5, 12, 9, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(
1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [2, 2], [-3/2, -3/2], [0, 0]]]], [[6, 1, 3, 1, 1], [v = 0, u < -2^(1/2),
And(-u^2-1 < x,x < -1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-3, -3], [-11/2, -11/2], [-6, -6], [-5, -5]]]], [[6, 1, 3, 1, 2], [v = 0,
u < -2^(1/2), And(-u^2-1 < x,x < -1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [-6, -6], [-3555895/1048576,
-1777947/524288]]]], [[6, 1, 3, 1, 3], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x
< -1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[0, 0], [-3, -3], [-11/2, -11/2], [-6, -6], [0, 0]]]], [[6, 1, 3, 1, 4], [v =
0, u < -2^(1/2), And(-u^2-1 < x,x < -1), y < -u^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-11/2, -11/2], [-6, -6], [1777947/524288, 
3555895/1048576]]]], [[6, 1, 3, 1, 5], [v = 0, u < -2^(1/2), And(-u^2-1 < x,x
< -1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-\
11/2, -11/2], [-6, -6], [5, 5]]]], [[6, 5, 5, 6, 1], [v = 0, And(-1 < u,u < 0)
, And(-1 < x,x < u^2-1), y = u^2-x-1, z < -(-u^2+1)^(1/2)], [regular_chain, [[
0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/8, 1/8], [-2, -2]]]], [[6, 5, 5, 6, 2],
[v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y = u^2-x-1, z = -(-u^2+1)^(
1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/8, 1/8], [-\
1816187/2097152, -3632373/4194304]]]], [[6, 5, 5, 6, 3], [v = 0, And(-1 < u,u
< 0), And(-1 < x,x < u^2-1), y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)
^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/8, 1/8], [-1
/8388608, -1/8388608]]]], [[6, 5, 5, 6, 4], [v = 0, And(-1 < u,u < 0), And(-1
< x,x < u^2-1), y = u^2-x-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1
/2, -1/2], [-7/8, -7/8], [1/8, 1/8], [908093/1048576, 454047/524288]]]], [[6,
5, 5, 6, 5], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y = u^2-x-1, (-
u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [1/8,
1/8], [2, 2]]]], [[6, 7, 2, 7, 1], [v = 0, And(0 < u,u < 1), x = -u^2-1, u^2+1
< y, z = z], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [3, 3], [0, 0]
]]], [[7, 1, 7, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, y = 0, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [0, 0], [0
, 0]]]], [[7, 3, 1, 2, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [-4, -4], [0, 0], [-3, -3]]]], [[7, 3, 1
, 2, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u
^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [-4, -4], [0, 0], [-2, -2]]]], [[7, 3, 1, 2, 3], [And
(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151
/262144, -343151/262144], [-4, -4], [0, 0], [0, 0]]]], [[7, 3, 1, 2, 4], [And(
0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y =
0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [-4, -4], [0, 0], [2, 2]]]], [[7, 3, 1, 2, 5], [And(0 < v,v < 1), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [-4, -4], [0
, 0], [3, 3]]]], [[7, 7, 7, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-
u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [-2, -2]]]],
[[7, 7, 7, 5, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x <
0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [-3/4, -3/4]]]], [[7, 7, 7, 5, 3], [
And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x
-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2
, 1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16], [0, 0]]]], [[7, 7, 7, 5, 4], [
And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x
-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8,
-3/8], [-3/16, -3/16], [3/4, 3/4]]]], [[7, 7, 7, 5, 5], [And(0 < v,v < 1), And
(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-3/16, -3/16]
, [2, 2]]]], [[7, 9, 4, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-1, -1], [424157/1048576, 212079/524288],
[-2, -2]]]], [[7, 9, 4, 6, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-1, -1], [424157/1048576, 212079/524288],
[-1618333/2097152, -3236665/4194304]]]], [[7, 9, 4, 6, 3], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z
,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-1, -1], [424157/1048576, 212079/524288], [-1/8388608, -1/
8388608]]]], [[7, 9, 4, 6, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [424157/1048576, 212079/524288],
[404583/524288, 809167/1048576]]]], [[7, 9, 4, 6, 5], [And(0 < v,v < 1), And(v
< u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [
424157/1048576, 212079/524288], [2, 2]]]], [[7, 11, 5, 9, 1], [And(0 < v,v < 1
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), u^2-v^2-x-1 <
y, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [-1/2,
-1/2], [2, 2], [0, 0]]]], [[7, 12, 8, 1, 1], [And(0 < v,v < 1), u = (v^2+2)^(1
/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [3/2, 3/2
], [1, 1], [-5, -5], [-3, -3]]]], [[7, 12, 8, 1, 2], [And(0 < v,v < 1), u = (v
^2+2)^(1/2), x = 1, y < -4, z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [
3/2, 3/2], [1, 1], [-5, -5], [-2, -2]]]], [[7, 12, 8, 1, 3], [And(0 < v,v < 1)
, u = (v^2+2)^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-5, -5], [0, 0]]]], [[7, 12,
8, 1, 4], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2
)], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-5, -5], [2, 2]]]], [[7,
12, 8, 1, 5], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, y < -4, (-y-1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-5, -5], [3, 3]]]],
[[8, 3, 9, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1)
, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-\
8282681/4194304, -8282681/4194304], [-3, -3]]]], [[8, 3, 9, 3, 2], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[1546383/2097152, 1546383/2097152], [-8282681/4194304, -8282681/4194304], [-\
1166407/1048576, -583203/524288]]]], [[8, 3, 9, 3, 3], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-8282681/4194304, -\
8282681/4194304], [0, 0]]]], [[8, 3, 9, 3, 4], [v = 1, And(-3^(1/2) < u,u < -2
^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [-8282681/4194304, -8282681/4194304], [583203/524288, 
1166407/1048576]]]], [[8, 3, 9, 3, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [-8282681/4194304, -8282681/4194304], [3, 3]]]], [[8, 5, 4
, 2, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = -u^2+1, z < u], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
479311/1048576, -239655/524288], [-3, -3]]]], [[8, 5, 4, 2, 2], [v = 1, And(-2
^(1/2) < u,u < -1), x = -1, y = -u^2+1, z = u], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288
], [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 4, 2, 3], [v = 1, And(-2^(
1/2) < u,u < -1), x = -1, y = -u^2+1, And(u < z,z < -u)], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-479311/1048576, -239655/
524288], [0, 0]]]], [[8, 5, 4, 2, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = -1
, y = -u^2+1, z = -u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-479311/1048576, -239655/524288], [1265743/1048576, 
1265743/1048576]]]], [[8, 5, 4, 2, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -\
1, y = -u^2+1, -u < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-479311/1048576, -239655/524288], [3, 3]]]], [[8, 11, 7,
8, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -x, z < 0], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [35579/131072, 284633/1048576], [-1, -1]]]], [[8, 11, 7, 8,
2], [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [35579/131072, 284633/1048576], [0, 0]]]], [[8, 11, 7, 8, 3]
, [v = 1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [-569265/2097152,
-569265/2097152], [35579/131072, 284633/1048576], [1, 1]]]], [[8, 13, 2, 7, 1]
, [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, 2*u^2-2 < y, z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-1297479/524288,
-2594957/1048576], [4, 4], [0, 0]]]], [[9, 2, 1, 7, 1], [And(1 < v,v < 2^(1/2)
), u = -(v^2+2)^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-4,
-4], [9/2, 9/2], [0, 0]]]], [[9, 3, 5, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1/2, -1/2], [1026253/1048576, 513127/524288], [0, 0]]]],
[[9, 13, 8, 2, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x =
0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-384703/262144,
-1538811/1048576], [-3, -3]]]], [[9, 13, 8, 2, 2], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [0, 0], [-384703/262144, -1538811/1048576], [-1270261/1048576, -\
317565/262144]]]], [[9, 13, 8, 2, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [0, 0], [-384703/262144, -1538811/1048576], [0, 0]]
]], [[9, 13, 8, 2, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-\
384703/262144, -1538811/1048576], [317565/262144, 1270261/1048576]]]], [[9, 13
, 8, 2, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = 0, y =
-u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [1454701/1048576, 1454701/1048576], [0, 0], [-384703/262144, -\
1538811/1048576], [3, 3]]]], [[9, 15, 3, 3, 1], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-
x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152
], [-1550541/4194304, -1550541/4194304], [-3, -3]]]], [[9, 15, 3, 3, 2], [And(
1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-1550541/4194304, -1550541/4194304], [-380699/
262144, -1522795/1048576]]]], [[9, 15, 3, 3, 3], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2
-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-1550541/4194304, -1550541/4194304], [0, 0]]]], [
[9, 15, 3, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-3647693/2097152, -3647693/2097152], [-1550541/4194304, -\
1550541/4194304], [1522795/1048576, 380699/262144]]]], [[9, 15, 3, 3, 5], [And
(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1
< x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-1550541/4194304, -1550541/4194304], [3, 3]]]], [
[10, 2, 2, 1, 1], [v = 2^(1/2), u = -2, x = -3, y < 0, z < -(3-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [-1, -1]
, [-3, -3]]]], [[10, 2, 2, 1, 2], [v = 2^(1/2), u = -2, x = -3, y < 0, z = -(3
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3,
-3], [-1, -1], [-2, -2]]]], [[10, 2, 2, 1, 3], [v = 2^(1/2), u = -2, x = -3, y
< 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-2, -2], [-3, -3], [-1, -1], [0, 0]]]], [[10, 2, 2, 1, 4],
[v = 2^(1/2), u = -2, x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [-1, -1], [2, 2]]]], [[10
, 2, 2, 1, 5], [v = 2^(1/2), u = -2, x = -3, y < 0, (3-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-3, -3], [-1, -1]
, [3, 3]]]], [[10, 3, 6, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0,
y = -u^2+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [-650655/262144, -\
2602619/1048576], [-3, -3]]]], [[10, 3, 6, 2, 2], [v = 2^(1/2), And(-2 < u,u <
-3^(1/2)), x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [-\
650655/262144, -2602619/1048576], [-825991/524288, -3303963/2097152]]]], [[10,
3, 6, 2, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y = -u^2+1, And(-(
u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [-650655/262144, -\
2602619/1048576], [-1/4194304, -1/4194304]]]], [[10, 3, 6, 2, 4], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = 0, y = -u^2+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [0, 0], [-650655/262144, -2602619/1048576], [1651981/1048576, 825991
/524288]]]], [[10, 3, 6, 2, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0,
y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [-650655/262144, -\
2602619/1048576], [3, 3]]]], [[10, 9, 8, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0
), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-\
17/8, -17/8], [-3, -3]]]], [[10, 9, 8, 3, 2], [v = 2^(1/2), And(-1 < u,u < 0),
x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4], [-17/8, -17/8], [
-1229565/1048576, -307391/262144]]]], [[10, 9, 8, 3, 3], [v = 2^(1/2), And(-1
< u,u < 0), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z
< (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2,
-1/2], [3/4, 3/4], [-17/8, -17/8], [0, 0]]]], [[10, 9, 8, 3, 4], [v = 2^(1/2),
And(-1 < u,u < 0), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = (u^2-y-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [3/4, 3/4]
, [-17/8, -17/8], [307391/262144, 1229565/1048576]]]], [[10, 9, 8, 3, 5], [v =
2^(1/2), And(-1 < u,u < 0), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), (u^2-y-1)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [
3/4, 3/4], [-17/8, -17/8], [3, 3]]]], [[10, 11, 1, 4, 1], [v = 2^(1/2), And(0
< u,u < 1), x < u^2-3, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [5/4, 5/4], [-3, -3]]]]
, [[10, 11, 1, 4, 2], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3,
z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2,
1/2], [-4, -4], [5/4, 5/4], [-1738867/1048576, -3477733/2097152]]]], [[10, 11,
1, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3, And(-(-u^2+3
)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [-4, -4], [5/4, 5/4], [-1/4194304, -1/4194304]]]], [[10,
11, 1, 4, 4], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3, z = (-u^
2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-\
4, -4], [5/4, 5/4], [869433/524288, 1738867/1048576]]]], [[10, 11, 1, 4, 5], [
v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [5/4,
5/4], [3, 3]]]], [[10, 15, 7, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And
(u^2-3 < x,x < 0), -x < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [2, 2], [0, 0]]]], [[10, 17, 3, 1, 1], [v = 2^(1/2), And(3^(1/2) < u
,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [-3, -3]]]], [[10, 
17, 3, 1, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y
< -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-2, -2], [-4056255/2097152, -16225019/8388608]]]], [[10, 17, 3, 1,
3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-2, -2], [-3/16777216, -3/16777216]]]], [[10, 17, 3, 1, 4],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z
= (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [
2028127/1048576, 63379/32768]]]], [[10, 17, 3, 1, 5], [v = 2^(1/2), And(3^(1/2
) < u,u < 2), And(-u^2+1 < x,x < -1), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [3, 3]]]], [[10, 19,
2, 6, 1], [v = 2^(1/2), 2 < u, x = -u^2+1, y = 2*u^2-4, z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [-8, -8], [14, 14], [0, 0]]]], [[
11, 1, 4, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = -1, And(1 < y,y < u^2-v
^2), z = z], [regular_chain, [[3, 3], [-5, -5], [-1, -1], [17/2, 17/2], [0, 0]
]]], [[11, 5, 7, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-
v^2-1 < x,x < 0), -x < y, z = z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-1062385/4194304, -1062385/4194304], [2, 2], [0, 0]]]], [[11,
7, 4, 6, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^
2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [133001/262144, 532005/1048576], [-2, -2]]]], [[11
, 7, 4, 6, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+
v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [133001/262144, 532005/1048576], [-735979/1048576,
-1471957/2097152]]]], [[11, 7, 4, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2
))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-1, -1],
[133001/262144, 532005/1048576], [-1/4194304, -1/4194304]]]], [[11, 7, 4, 6, 4
], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152]
, [-1, -1], [133001/262144, 532005/1048576], [367989/524288, 735979/1048576]]]
], [[11, 7, 4, 6, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y
= -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [-1, -1], [133001/262144, 532005/1048576], [2, 2]]]], [[
11, 12, 9, 9, 1], [2^(1/2) < v, u = (v^2-2)^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[3, 3], [2774271/1048576, 10837/4096], [2, 2], [1, 1], [0, 0]]
]], [[11, 14, 3, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[11, 14, 3, 5, 2],
[2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-3/2
, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[11, 14, 3, 5,
3], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]
], [[11, 14, 3, 5, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144,
2965821/1048576], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]]
, [[11, 14, 3, 5, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), And(-2 < x,x < -1), And
(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[11, 19, 2, 6, 1], [2^
(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2
-2*v^2, z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
-2615197/1048576, -653799/262144], [391655/131072, 3133241/1048576], [0, 0]]]]
, [[11, 20, 4, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = -1, And(1 < y,y < 2
), z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1, -1
], [3/2, 3/2], [0, 0]]]], [[1, 1, 11, 2, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2)
, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-5, -5], [16, 16], [-33, -33], [-6, -6]]]], [[1, 1, 11, 2, 2], [v <
-2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-33, -33], [-2161695
/524288, -4323389/1048576]]]], [[1, 1, 11, 2, 3], [v < -2^(1/2), u < -(v^2+2)^
(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-33, -33], [0, 0
]]]], [[1, 1, 11, 2, 4], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [16
, 16], [-33, -33], [4323389/1048576, 2161695/524288]]]], [[1, 1, 11, 2, 5], [v
< -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-33, -33], [6, 6]]]
], [[1, 3, 4, 3, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3
], [-3396811/1048576, -3396811/1048576], [-1, -1], [-391655/524288, -391655/
524288], [-3, -3]]]], [[1, 3, 4, 3, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-\
391655/524288, -391655/524288], [-346489/262144, -1385955/1048576]]]], [[1, 3,
4, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, 
And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-\
391655/524288, -391655/524288], [0, 0]]]], [[1, 3, 4, 3, 4], [v < -2^(1/2), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z
= (1-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576
], [-1, -1], [-391655/524288, -391655/524288], [1385955/1048576, 346489/262144
]]]], [[1, 3, 4, 3, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [-1, -1], [-391655/524288, -391655/
524288], [3, 3]]]], [[1, 7, 11, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [2, 2], [-5, -5], [-3, -3]]]], [[1, 7, 
11, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-\
1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[1, 7, 
11, 1, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-\
1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]
]]], [[1, 7, 11, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y
< u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[
1, 7, 11, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-
v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-5, -5], [3, 3]]]], [[1, 9, 5, 9, 1], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-1 < x,x < 0), -u^2+v^2-x-1
< y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 15, 2, 3, 1], [v < -2^(1/2), And((v^2-\
1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z < -(-u^2+v
^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-3161161/2097152, -395145/262144], [133001/262144, 133001/262144], [-3, -3]]]
], [[1, 15, 2, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^
2-1, And(0 < y,y < -2*u^2+2*v^2), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/
262144], [133001/262144, 133001/262144], [-1048577/1048576, -1]]]], [[1, 15, 2
, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 <
y,y < -2*u^2+2*v^2), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [133001/262144, 133001/262144], [0, 0]]]], [[1, 15,
2, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 <
y,y < -2*u^2+2*v^2), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [133001
/262144, 133001/262144], [1, 1048577/1048576]]]], [[1, 15, 2, 3, 5], [v < -2^(
1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2
), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3161161/2097152, -395145/262144], [133001/262144, 133001/
262144], [3, 3]]]], [[1, 16, 5, 5, 1], [v < -2^(1/2), u = -v, And(0 < x,x < 1)
, And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [-\
1/4, -1/4], [0, 0]]]], [[1, 21, 2, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x
= -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5
], [-17, -17], [0, 0], [-6, -6]]]], [[1, 21, 2, 2, 2], [v < -2^(1/2), (v^2+2)^
(1/2) < u, x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
3, -3], [5, 5], [-17, -17], [0, 0], [-2161695/524288, -4323389/1048576]]]], [[
1, 21, 2, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [5,
5], [-17, -17], [0, 0], [0, 0]]]], [[1, 21, 2, 2, 4], [v < -2^(1/2), (v^2+2)^(
1/2) < u, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [5, 5], [-17, -17], [0, 0], [4323389/1048576, 2161695/524288]]]], [[1, 21
, 2, 2, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [0, 0], [6, 6]]]
], [[2, 1, 4, 3, 1], [v = -2^(1/2), u < -2, x = -1, And(-u^2+2 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-1, -1], [-7/2, -7/2], [-4, -4]]]], [[2, 1, 4, 3, 2], [v = -2^(1/2), u < -2,
x = -1, And(-u^2+2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [-7/2, -7/2], [-1112183/524288,
-2224365/1048576]]]], [[2, 1, 4, 3, 3], [v = -2^(1/2), u < -2, x = -1, And(-u^
2+2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-7/2, -7/2], [0, 0]]]],
[[2, 1, 4, 3, 4], [v = -2^(1/2), u < -2, x = -1, And(-u^2+2 < y,y < 0), z = (1
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1
, -1], [-7/2, -7/2], [2224365/1048576, 1112183/524288]]]], [[2, 1, 4, 3, 5], [
v = -2^(1/2), u < -2, x = -1, And(-u^2+2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-7/2,
-7/2], [4, 4]]]], [[2, 10, 8, 7, 1], [v = -2^(1/2), u = 0, x = 1, 0 < y, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [1, 1]
, [0, 0]]]], [[2, 12, 2, 1, 1], [v = -2^(1/2), u = 1, x = -2, y < 0, z < -(2-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2
], [-1, -1], [-3, -3]]]], [[2, 12, 2, 1, 2], [v = -2^(1/2), u = 1, x = -2, y <
0, z = -(2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 2, 1
, 3], [v = -2^(1/2), u = 1, x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-\
1, -1], [-1/4194304, -1/4194304]]]], [[2, 12, 2, 1, 4], [v = -2^(1/2), u = 1,
x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[2,
12, 2, 1, 5], [v = -2^(1/2), u = 1, x = -2, y < 0, (2-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [-1, -1]
, [3, 3]]]], [[2, 17, 1, 6, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-4, -4], [4, 4], [-1, -1]]]], [[2, 17, 1,
6, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-4, -4], [4, 4], [0, 0]]]], [[2, 17, 1, 6, 3], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), x < -u^2+1, y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [4, 4]
, [1, 1]]]], [[2, 18, 3, 7, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), And(
-x < y,y < 1-x), z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[2, 2], [-2, -2], [5/2, 5/2], [0, 0]]]], [[3, 4, 8, 6, 1], [And(-2^(1/2) < v,v
< -1), u = -(v^2+1)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [0, 0]
, [0, 0]]]], [[3, 6, 2, 2, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y = 0
, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[3, 6, 2, 2, 2], [
And(-2^(1/2) < v,v < -1), u = v, x = -1, y = 0, z = -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1,
-1], [0, 0], [-1, -1]]]], [[3, 6, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u = v,
x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [0,
0]]]], [[3, 6, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y = 0, z =
1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[3, 6, 2, 2, 5], [And(-2^(1/2
) < v,v < -1), u = v, x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [0
, 0], [2, 2]]]], [[3, 11, 1, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/
2) < u,u < -v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [5841085/2097152, 5841085/2097152], [-2, -2]]]], [[
3, 11, 1, 7, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x <
u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -\
3], [5841085/2097152, 5841085/2097152], [-485927/1048576, -242963/524288]]]],
[[3, 11, 1, 7, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x
< u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-3, -3], [5841085/2097152, 5841085/2097152], [0, 0]]]], [[3,
11, 1, 7, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^
2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3]
, [5841085/2097152, 5841085/2097152], [242963/524288, 485927/1048576]]]], [[3,
11, 1, 7, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^
2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3]
, [5841085/2097152, 5841085/2097152], [2, 2]]]], [[3, 12, 4, 5, 1], [And(-2^(1
/2) < v,v < -1), u = -v, x = 0, 0 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1]
, [0, 0]]]], [[3, 15, 1, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [-1, -1], [-4, -4]]]], [[3, 15, 1, 1, 2], [And(-2^(1/2) < v
,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327
/524288, 898327/524288], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]
]]], [[3, 15, 1, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-4, -4], [-1, -1], [0, 0]]]], [[3, 15, 1, 1, 4], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0
, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-4, -4], [-1, -1], [2344687/1048576, 146543/
65536]]]], [[3, 15, 1, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-4, -4
], [-1, -1], [4, 4]]]], [[3, 16, 3, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[-1, -1], [-3, -3]]]], [[3, 16, 3, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[3, 16, 3, 2, 3], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/
2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]
], [[3, 16, 3, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x
,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [121853/65536, 1949649/1048576], [-2, -2], [-1, -1], [908093/524288
, 1816187/1048576]]]], [[3, 16, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[-1, -1], [3, 3]]]], [[4, 3, 4, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2))
, x = -1, y = -u^2+1, z < u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-1546383/1048576, -773191/524288], [-3, -3]]]], [
[4, 3, 4, 2, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = -u^2+1,
z = u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1,
-1], [-1546383/1048576, -773191/524288], [-1649549/1048576, -3299097/2097152]]
]], [[4, 3, 4, 2, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = -u^
2+1, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-1546383/1048576, -773191/524288], [-1/4194304, -\
1/4194304]]]], [[4, 3, 4, 2, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x =
-1, y = -u^2+1, z = -u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-1546383/1048576, -773191/524288], [412387/262144
, 1649549/1048576]]]], [[4, 3, 4, 2, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), x = -1, y = -u^2+1, -u < z], [regular_chain, [[-1, -1], [-6598195/4194304,
-6598195/4194304], [-1, -1], [-1546383/1048576, -773191/524288], [3, 3]]]], [[
4, 4, 7, 6, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [0,
0], [0, 0]]]], [[4, 11, 2, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, u
^2 < y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-1527887/1048576, -763943/524288], [3, 3], [0, 0]]]], [[4, 12, 5, 7, 1], [v =
-1, u = 2^(1/2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-1, -1],
[741455/524288, 1482911/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[5, 1, 7,
8, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = u^2-v^2-x
-1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [29/4, 29/4],
[0, 0]]]], [[5, 2, 9, 9, 1], [And(-1 < v,v < 0), u = -(v^2+2)^(1/2), 1 < x, 0
< y, z = z], [regular_chain, [[-1/2, -1/2], [-3/2, -3/2], [2, 2], [1, 1], [0,
0]]]], [[5, 12, 9, 4, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y = -x
, z < 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-2, -2], [-1, -1
]]]], [[5, 12, 9, 4, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y = -x,
z = 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-2, -2], [0, 0]]]]
, [[5, 12, 9, 4, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y = -x, 0 <
z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-2, -2], [1, 1]]]], [[
6, 1, 2, 3, 1], [v = 0, u < -2^(1/2), x = -u^2-1, And(0 < y,y < u^2+1), z < -(
u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [5, 5], [-4, -\
4]]]], [[6, 1, 2, 3, 2], [v = 0, u < -2^(1/2), x = -u^2-1, And(0 < y,y < u^2+1
), z = -(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [5, 5
], [-146543/65536, -2344687/1048576]]]], [[6, 1, 2, 3, 3], [v = 0, u < -2^(1/2
), x = -u^2-1, And(0 < y,y < u^2+1), And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1
/2))], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [5, 5], [0, 0]]]], [[6,
1, 2, 3, 4], [v = 0, u < -2^(1/2), x = -u^2-1, And(0 < y,y < u^2+1), z = (u^2-
y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [5, 5], [2344687/
1048576, 146543/65536]]]], [[6, 1, 2, 3, 5], [v = 0, u < -2^(1/2), x = -u^2-1,
And(0 < y,y < u^2+1), (u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3],
[-10, -10], [5, 5], [4, 4]]]], [[6, 5, 5, 3, 1], [v = 0, And(-1 < u,u < 0), 
And(-1 < x,x < u^2-1), And(-u^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-3/16, -3/16], [-3, -3]]]
], [[6, 5, 5, 3, 2], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(-u^
2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [
-7/8, -7/8], [-3/16, -3/16], [-67553/65536, -1080847/1048576]]]], [[6, 5, 5, 3
, 3], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), And(-u^2-x-1 < y,y < 0
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1/2, -\
1/2], [-7/8, -7/8], [-3/16, -3/16], [0, 0]]]], [[6, 5, 5, 3, 4], [v = 0, And(-\
1 < u,u < 0), And(-1 < x,x < u^2-1), And(-u^2-x-1 < y,y < 0), z = (-x-y)^(1/2)
], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-3/16, -3/16], [
1080847/1048576, 67553/65536]]]], [[6, 5, 5, 3, 5], [v = 0, And(-1 < u,u < 0),
And(-1 < x,x < u^2-1), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-3/16, -3/16], [3, 3]]]],
[[6, 7, 1, 9, 1], [v = 0, And(0 < u,u < 1), x < -u^2-1, -x < y, z = z], [
regular_chain, [[0, 0], [1/2, 1/2], [-3, -3], [4, 4], [0, 0]]]], [[7, 1, 7, 5,
1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0)
, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-1/4, -1/4], [0,
0]]]], [[7, 2, 9, 6, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, y = 1-x
, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-1, -1], [0, 0]]
]], [[7, 7, 7, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x
,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2
], [0, 0], [-3/8, -3/8], [-7/8, -7/8], [-3, -3]]]], [[7, 7, 7, 2, 2], [And(0 <
v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-7/8,
-7/8], [-146543/131072, -1172343/1048576]]]], [[7, 7, 7, 2, 3], [And(0 < v,v <
1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+
v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0]
, [-3/8, -3/8], [-7/8, -7/8], [0, 0]]]], [[7, 7, 7, 2, 4], [And(0 < v,v < 1),
And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-7/8, -7/8], [
1172343/1048576, 146543/131072]]]], [[7, 7, 7, 2, 5], [And(0 < v,v < 1), And(-
v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-7/8, -7/8], [3, 3]]]]
, [[7, 9, 3, 8, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-2521309/2097152, -2521309/2097152], [630327/
524288, 1260655/1048576], [-1, -1]]]], [[7, 9, 3, 8, 2], [And(0 < v,v < 1), 
And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [630327/524288, 1260655/1048576], [0, 0]]]], [[7,
9, 3, 8, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-2521309/2097152, -2521309/2097152], [630327/524288, 
1260655/1048576], [1, 1]]]], [[7, 11, 6, 1, 1], [And(0 < v,v < 1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [-4, -4],
[-3, -3]]]], [[7, 11, 6, 1, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1/2,
1/2], [343151/262144, 343151/262144], [0, 0], [-4, -4], [-2, -2]]]], [[7, 11,
6, 1, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0,
y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1
/2], [343151/262144, 343151/262144], [0, 0], [-4, -4], [0, 0]]]], [[7, 11, 6,
1, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y <
-u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [0, 0], [-4, -4], [2, 2]]]], [[7, 11, 6, 1, 5], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [
-4, -4], [3, 3]]]], [[7, 12, 8, 6, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x
= 1, y = 0, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [0, 0], [
0, 0]]]], [[8, 3, 9, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2
< x,x < 1), y = u^2-x-2, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1546383/2097152, 1546383/2097152], [-137693/524288, -275385
/1048576], [0, 0]]]], [[8, 5, 4, 9, 1], [v = 1, And(-2^(1/2) < u,u < -1), x =
-1, 1 < y, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [2, 2], [0, 0]]]], [[8, 11, 7, 9, 1], [v = 1, And(1 < u,u
< 2^(1/2)), And(u^2-2 < x,x < 0), -x < y, z = z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [2, 2],
[0, 0]]]], [[8, 13, 3, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 <
x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [
910883/1048576, 910883/1048576], [-2, -2]]]], [[8, 13, 3, 5, 2], [v = 1, And(2
^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533
/2097152, -3643533/2097152], [910883/1048576, 910883/1048576], [-7818463/
8388608, -3909231/4194304]]]], [[8, 13, 3, 5, 3], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-\
3643533/2097152, -3643533/2097152], [910883/1048576, 910883/1048576], [-3/
8388608, -3/8388608]]]], [[8, 13, 3, 5, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2
)), And(-u^2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/
2097152], [910883/1048576, 910883/1048576], [977307/1048576, 244327/262144]]]]
, [[8, 13, 3, 5, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1
), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [910883/
1048576, 910883/1048576], [2, 2]]]], [[9, 2, 2, 1, 1], [And(1 < v,v < 2^(1/2))
, u = -(v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [-1, -1], [-3, -3]]]], [[9, 2, 2, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v
^2+2)^(1/2), x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [-1
, -1], [-2, -2]]]], [[9, 2, 2, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1
/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [-1, -1], [0, 0]]]], [[9, 2, 2, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2
+2)^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [-1, -1], [2
, 2]]]], [[9, 2, 2, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3
, y < 0, (3-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [-3, -3], [-1, -1], [3, 3]]]], [[9, 3,
6, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = 0, y = u^2-v^2-1, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [501965/1048576, 
250983/524288], [0, 0]]]], [[9, 13, 7, 4, 1], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-279171/1048576,
-139585/524288], [-2, -2]]]], [[9, 13, 7, 4, 2], [And(1 < v,v < 2^(1/2)), And(
v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-279171/1048576
, -139585/524288], [-765155/1048576, -1530309/2097152]]]], [[9, 13, 7, 4, 3],
[And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0
), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-139585/524288, -139585/524288], [-279171/1048576, -139585/524288],
[-1/4194304, -1/4194304]]]], [[9, 13, 7, 4, 4], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-279171/1048576,
-139585/524288], [382577/524288, 765155/1048576]]]], [[9, 13, 7, 4, 5], [And(1
< v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y =
u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [-279171/1048576, -139585/524288], [2, 2]]]], [[9, 15, 2, 7, 1], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2
-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[4, 4], [0, 0]]]], [[10, 2, 1, 5, 1], [v = 2^(1/2), u = -2, x < -3, And(-x-3 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[10, 2, 1, 5, 2], [v =
2^(1/2), u = -2, x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [5/2, 5/
2], [-1284239/1048576, -642119/524288]]]], [[10, 2, 1, 5, 3], [v = 2^(1/2), u
= -2, x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [5/2, 5
/2], [0, 0]]]], [[10, 2, 1, 5, 4], [v = 2^(1/2), u = -2, x < -3, And(-x-3 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-2, -2], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[10, 2,
1, 5, 5], [v = 2^(1/2), u = -2, x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4], [5/2
, 5/2], [3, 3]]]], [[10, 3, 6, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x = 0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [0, 0], [-4, -4], [-3, -3]]]],
[[10, 3, 6, 1, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y < -u^2+1,
z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339
/2097152, -3913339/2097152], [0, 0], [-4, -4], [-2, -2]]]], [[10, 3, 6, 1, 3],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y < -u^2+1, And(-(-y)^(1/2) < z
,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [0, 0], [-4, -4], [0, 0]]]], [[10, 3, 6, 1
, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = 0, y < -u^2+1, z = (-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [0, 0], [-4, -4], [2, 2]]]], [[10, 3, 6, 1, 5], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = 0, y < -u^2+1, (-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [0,
0], [-4, -4], [3, 3]]]], [[10, 9, 7, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), 
And(0 < x,x < -u^2+1), And(-x < y,y < 0), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [-3/16, -3/16], [0, 0]]]],
[[10, 11, 1, 1, 1], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y < 0, z < -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4
, -4], [-1, -1], [-4, -4]]]], [[10, 11, 1, 1, 2], [v = 2^(1/2), And(0 < u,u <
1), x < u^2-3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [-4, -4], [-1, -1], [-146543/65536, -2344687/
1048576]]]], [[10, 11, 1, 1, 3], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y
< 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [1/2, 1/2], [-4, -4], [-1, -1], [0, 0]]]], [[10, 11, 1, 1,
4], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [-1, -\
1], [2344687/1048576, 146543/65536]]]], [[10, 11, 1, 1, 5], [v = 2^(1/2), And(
0 < u,u < 1), x < u^2-3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [-1, -1], [4, 4]]]], [[10, 15,
7, 4, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-
x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
137693/524288, -275385/1048576], [-2, -2]]]], [[10, 15, 7, 4, 2], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, z = -(-u^2+3)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [-137693/524288, -275385
/1048576], [-1519901/2097152, -379975/524288]]]], [[10, 15, 7, 4, 3], [v = 2^(
1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, And(-(-u^2+3)
^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/
1048576], [-137693/524288, -275385/1048576], [0, 0]]]], [[10, 15, 7, 4, 4], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, z = (-u^
2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-137693/524288
, -275385/1048576], [379975/524288, 759951/1048576]]]], [[10, 15, 7, 4, 5], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = u^2-x-3, (-u^2+3)
^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-137693/524288
, -275385/1048576], [2, 2]]]], [[10, 17, 2, 7, 1], [v = 2^(1/2), And(3^(1/2) <
u,u < 2), x = -u^2+1, 2*u^2-4 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-650655/262144, -\
2602619/1048576], [4, 4], [0, 0]]]], [[10, 19, 3, 2, 1], [v = 2^(1/2), 2 < u,
And(-u^2+1 < x,x < -1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [-7/2, -7/2], [-4, -4]]
]], [[10, 19, 3, 2, 2], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2-
x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [-9/2, -9/2], [-7/2, -7/2], [-2965821/1048576, -11863283/4194304]]]], [
[10, 19, 3, 2, 3], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2-x+1,
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-9/2, -9/2], [-7/2, -7/2], [-3/8388608, -3/8388608]
]]], [[10, 19, 3, 2, 4], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2
-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3, 3], [-9/2, -9/2], [-7/2, -7/2], [741455/262144, 2965821/1048576]]]], [[10,
19, 3, 2, 5], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-\
1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/
2, -9/2], [-7/2, -7/2], [4, 4]]]], [[11, 1, 5, 5, 1], [2^(1/2) < v, u < -(v^2+
2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[11,
1, 5, 5, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [1
/4, 1/4], [-1/2, -1/2]]]], [[11, 1, 5, 5, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[
11, 1, 5, 5, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2],
[1/4, 1/4], [1/2, 1/2]]]], [[11, 1, 5, 5, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2)
, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3
, 3], [-5, -5], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 5, 8, 1, 1], [2^(1/
2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)
], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-3, -3]
, [-3, -3]]]], [[11, 5, 8, 1, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v)
, x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152
]]]], [[11, 5, 8, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0,
y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]
], [[11, 5, 8, 1, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y <
-u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851
/131072], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[11, 5, 8, 1
, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1, (-y
)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0
], [-3, -3], [3, 3]]]], [[11, 7, 5, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-3192025/4194304, -399003/524288], [-3, -3]]]], [[11
, 7, 5, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u
^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-\
3192025/4194304, -399003/524288], [-1287385/1048576, -160923/131072]]]], [[11,
7, 5, 2, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2
+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-3192025/4194304, -399003/524288], [0, 0]]]], [[11,
7, 5, 2, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2
+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-\
3192025/4194304, -399003/524288], [160923/131072, 1287385/1048576]]]], [[11, 7
, 5, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+
v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-\
3192025/4194304, -399003/524288], [3, 3]]]], [[11, 13, 1, 3, 1], [2^(1/2) < v,
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2
-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-4, -4], [1564115/2097152, 1564115/2097152], [-3, -3]]]], [[11, 13,
1, 3, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-\
1, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-4, -4], [1564115/2097152, 1564115/2097152],
[-7566241/4194304, -236445/131072]]]], [[11, 13, 1, 3, 3], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-4, -4], [1564115/2097152, 1564115/2097152], [0, 0]]
]], [[11, 13, 1, 3, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2))
, x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [1564115/2097152, 
1564115/2097152], [236445/131072, 1891561/1048576]]]], [[11, 13, 1, 3, 5], [2^
(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,
y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [-4, -4], [1564115/2097152, 1564115/2097152], [3, 3]]]], [[11
, 14, 4, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z <
-(1-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1,
-1], [1/2, 1/2], [-2, -2]]]], [[11, 14, 4, 5, 2], [2^(1/2) < v, u = (v^2-1)^(1
/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[11, 14, 4, 5, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -\
1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[
11, 14, 4, 5, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z
= (1-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1
, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[11, 14, 4, 5, 5], [2^(1
/2) < v, u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [1/2, 1/2]
, [2, 2]]]], [[11, 19, 2, 7, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-2615197/1048576, -653799/262144], [4, 4],
[0, 0]]]], [[11, 20, 5, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x <
0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733
/1048576, 1738867/524288], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[11, 20,
5, 3, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[11,
20, 5, 3, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y
,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[11,
20, 5, 3, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y
,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867
/524288], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/8192]]]], [[11,
20, 5, 3, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y
,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867
/524288], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[1, 5, 6, 7, 1], [v < -2^(1/
2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [2, 2], [0, 0]]]], [[1, 7, 3, 6, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-657289/524288, -657289/524288], [399003/524288, 798007/1048576], [-2, -2]]
]], [[1, 7, 3, 6, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^
2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288
], [399003/524288, 798007/1048576], [-735979/1048576, -1471957/2097152]]]], [[
1, 7, 3, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [399003/524288, 798007/1048576], [-1/4194304, -1/
4194304]]]], [[1, 7, 3, 6, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [399003/524288, 798007/1048576], [367989/524288, 
735979/1048576]]]], [[1, 7, 3, 6, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [399003/524288, 798007/1048576], [2, 2]]]], [[1, 11,
6, 6, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y =
-u^2+v^2-1, z = z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [8, 8], [0, 0]]
]], [[1, 12, 8, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 1, 0 < y, z = z],
[regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1, 1], [1, 1], [0,
0]]]], [[1, 19, 1, 6, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-4, -4], [4, 4], [-1, -1]]]], [[1, 19, 1, 6, 2], [
v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x
, z = 0], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4,
-4], [4, 4], [0, 0]]]], [[1, 19, 1, 6, 3], [v < -2^(1/2), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-3, -3
], [3396811/1048576, 3396811/1048576], [-4, -4], [4, 4], [1, 1]]]], [[1, 20, 3
, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y <
1-x), z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-\
2, -2], [5/2, 5/2], [0, 0]]]], [[2, 3, 4, 9, 1], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), x = -1, u^2-2 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [3, 3], [0, 0]
]]], [[2, 4, 8, 6, 1], [v = -2^(1/2), u = -3^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1, 1], [0, 0], [0, 0]]]], [[2, 7, 4, 2, 1], [v = -2^(1/2),
And(v < u,u < -1), x = -1, y = u^2-2, z < -(-u^2+3)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1,
-1], [-1138531/2097152, -569265/1048576], [-3, -3]]]], [[2, 7, 4, 2, 2], [v =
-2^(1/2), And(v < u,u < -1), x = -1, y = u^2-2, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [-1302471/
1048576, -651235/524288]]]], [[2, 7, 4, 2, 3], [v = -2^(1/2), And(v < u,u < -1
), x = -1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [0, 0]]]], [[
2, 7, 4, 2, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, y = u^2-2, z = (-u^2
+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [
651235/524288, 1302471/1048576]]]], [[2, 7, 4, 2, 5], [v = -2^(1/2), And(v < u
,u < -1), x = -1, y = u^2-2, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
1138531/2097152, -569265/1048576], [3, 3]]]], [[2, 8, 7, 6, 1], [v = -2^(1/2),
u = -1, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1, -1], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 13, 2, 3, 1], [v
= -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(0 < y,y < -2*u^2+4), z < -(-u^2-
y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [569265/
1048576, 569265/1048576], [-3, -3]]]], [[2, 13, 2, 3, 2], [v = -2^(1/2), And(1
< u,u < -v), x = u^2-3, And(0 < y,y < -2*u^2+4), z = -(-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/1048576, 569265/
1048576], [-1048577/1048576, -1]]]], [[2, 13, 2, 3, 3], [v = -2^(1/2), And(1 <
u,u < -v), x = u^2-3, And(0 < y,y < -2*u^2+4), And(-(-u^2-y+3)^(1/2) < z,z < (
-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [
569265/1048576, 569265/1048576], [0, 0]]]], [[2, 13, 2, 3, 4], [v = -2^(1/2),
And(1 < u,u < -v), x = u^2-3, And(0 < y,y < -2*u^2+4), z = (-u^2-y+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-3235683/2097152, -1617841/1048576], [569265/1048576, 569265/
1048576], [1, 1048577/1048576]]]], [[2, 13, 2, 3, 5], [v = -2^(1/2), And(1 < u
,u < -v), x = u^2-3, And(0 < y,y < -2*u^2+4), (-u^2-y+3)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/1048576, 569265/
1048576], [3, 3]]]], [[2, 14, 5, 5, 1], [v = -2^(1/2), u = -v, And(0 < x,x < 1
), And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]]
, [[3, 1, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, And
(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1, -1], [-7909297/2097152, -7909297/2097152], [-\
4, -4]]]], [[3, 1, 4, 3, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x
= -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1, -1], [-7909297/2097152, -7909297/
2097152], [-286309/131072, -2290471/1048576]]]], [[3, 1, 4, 3, 3], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [-7909297/2097152, -7909297/2097152], [0, 0]]]],
[[3, 1, 4, 3, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, And(-
u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1, -1], [-7909297/2097152, -7909297/2097152], [
2290471/1048576, 286309/131072]]]], [[3, 1, 4, 3, 5], [And(-2^(1/2) < v,v < -1
), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-\
7909297/2097152, -7909297/2097152], [4, 4]]]], [[3, 2, 6, 2, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [
0, 0], [-3, -3], [-3, -3]]]], [[3, 2, 6, 2, 2], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-3,
-3], [-1816187/1048576, -3632373/2097152]]]], [[3, 2, 6, 2, 3], [And(-2^(1/2)
< v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[3, 2, 6, 2,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = -3, z = 3^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[3,
2, 6, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = -3, 3^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [0, 0], [-3, -3], [3, 3]]]], [[3, 7, 4, 2, 1], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [-3, -3]]]], [[3, 7, 4, 2, 2], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [-1314069/
1048576, -328517/262144]]]], [[3, 7, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z
< (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [0, 0]]]], [[3, 7, 4, 2, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [328517/
262144, 1314069/1048576]]]], [[3, 7, 4, 2, 5], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [3, 3]]]], [[
3, 8, 7, 6, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1
), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[4, 1, 3, 8,
1], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), y = u^2-x-2, z = z], [
regular_chain, [[-1, -1], [-3, -3], [-5, -5], [12, 12], [0, 0]]]], [[4, 2, 5,
7, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[1, 1], [0, 0]]]], [[4, 7, 3, 5, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x
,x < -1), And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1/2, -1/2], [-11/8, -11/8], [9/16, 9/16], [-2, -2]]]], [[4, 7, 3, 5, 2], [
v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), z = -
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [9/16,
9/16], [-3780695/4194304, -7561389/8388608]]]], [[4, 7, 3, 5, 3], [v = -1, And
(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11
/8], [9/16, 9/16], [-5/16777216, -5/16777216]]]], [[4, 7, 3, 5, 4], [v = -1, 
And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), z = (-x-y)^(1
/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [9/16, 9/16], [
945173/1048576, 472587/524288]]]], [[4, 7, 3, 5, 5], [v = -1, And(-1 < u,u < 0
), And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [9/16, 9/16], [2, 2]]]
], [[4, 8, 6, 5, 1], [v = -1, u = 0, x = 0, 0 < y, z = z], [regular_chain, [[-\
1, -1], [0, 0], [0, 0], [1, 1], [0, 0]]]], [[4, 14, 7, 5, 1], [v = -1, u = 3^(
1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[4, 15
, 11, 6, 1], [v = -1, 3^(1/2) < u, u^2-2 < x, y = u^2-x-2, z = z], [
regular_chain, [[-1, -1], [3, 3], [8, 8], [-1, -1], [0, 0]]]], [[5, 5, 3, 6, 1
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -\
1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [
636235/1048576, 159059/262144], [-2, -2]]]], [[5, 5, 3, 6, 2], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1
, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-2521309/2097152, -2521309/2097152], [636235/1048576, 
159059/262144], [-1618333/2097152, -3236665/4194304]]]], [[5, 5, 3, 6, 3], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/1048576, 159059/262144], [-1/8388608, -1/
8388608]]]], [[5, 5, 3, 6, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u <
v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/1048576, 159059/262144], [404583/524288, 
809167/1048576]]]], [[5, 5, 3, 6, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) <
u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [636235/1048576, 159059/262144], [2, 2]]]]
, [[5, 6, 7, 1, 1], [And(-1 < v,v < 0), u = v, 1 < x, y < -1-x, z < -(-x-y)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-4, -4], [-3, -3]]
]], [[5, 6, 7, 1, 2], [And(-1 < v,v < 0), u = v, 1 < x, y < -1-x, z = -(-x-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-4, -4], [-\
1482911/1048576, -741455/524288]]]], [[5, 6, 7, 1, 3], [And(-1 < v,v < 0), u =
v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-4, -4], [0, 0]]]], [[5, 6, 7, 1, 4], [
And(-1 < v,v < 0), u = v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-4, -4], [741455/524288, 1482911/1048576
]]]], [[5, 6, 7, 1, 5], [And(-1 < v,v < 0), u = v, 1 < x, y < -1-x, (-x-y)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-4, -4], [3, 3]
]]], [[5, 9, 4, 6, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [424157/1048576, 212079/524288],
[-2, -2]]]], [[5, 9, 4, 6, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/
2], [1696631/2097152, 1696631/2097152], [-1, -1], [424157/1048576, 212079/
524288], [-1618333/2097152, -3236665/4194304]]]], [[5, 9, 4, 6, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1
)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [424157/1048576, 212079/524288], [-1/
8388608, -1/8388608]]]], [[5, 9, 4, 6, 4], [And(-1 < v,v < 0), And(-v < u,u <
(v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [424157/1048576,
212079/524288], [404583/524288, 809167/1048576]]]], [[5, 9, 4, 6, 5], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-1, -1], [424157/1048576, 212079/524288], [2, 2]]]], [[5, 10, 8, 3, 1], [And(
-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [-\
2, -2], [-2, -2]]]], [[5, 10, 8, 3, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2),
x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [1, 1], [-2, -2], [-1, -1]]]], [[5, 10, 8, 3
, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(
-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1172343/
1048576, 146543/131072], [1, 1], [-2, -2], [0, 0]]]], [[5, 10, 8, 3, 4], [And(
-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [-2
, -2], [1, 1]]]], [[5, 10, 8, 3, 5], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x
= 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [1, 1], [-2, -2], [2, 2]]]], [[6, 1, 9, 5, 1]
, [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), And(-x < y,y < 0), z = z], [
regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-9/4, -9/4], [0, 0]]]], [[6, 3,
2, 6, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, y = 2*u^2, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [3055773/1048576, 1527887/524288], [0, 0]]]], [[6,
9, 4, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(1 < y,y < u^2), z = z
], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [
1288231/1048576, 1288231/1048576], [0, 0]]]], [[6, 10, 6, 6, 1], [v = 0, u = 2
^(1/2), x = 0, y = 1, z = z], [regular_chain, [[0, 0], [741455/524288, 1482911
/1048576], [0, 0], [1, 1], [0, 0]]]], [[7, 3, 7, 8, 1], [And(0 < v,v < 1), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = u^2-v^2
-x-1, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/1048576, 243021/1048576], [243021/1048576, 121511/524288], [0, 0]]]], [
[7, 5, 2, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v
^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-736367/524288, -1472733/1048576], [3, 3], [0, 0]]]], [[8,
1, 8, 8, 1], [v = 1, u < -3^(1/2), x = 1, y = u^2-3, z = z], [regular_chain, [
[1, 1], [-3, -3], [1, 1], [6, 6], [0, 0]]]], [[8, 3, 2, 4, 1], [v = 1, And(-3^
(1/2) < u,u < -2^(1/2)), x = -u^2, y = u^2, z < 0], [regular_chain, [[1, 1], [
-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [
1297479/524288, 2594959/1048576], [-1, -1]]]], [[8, 3, 2, 4, 2], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = u^2, z = 0], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [
1297479/524288, 2594959/1048576], [0, 0]]]], [[8, 3, 2, 4, 3], [v = 1, And(-3^
(1/2) < u,u < -2^(1/2)), x = -u^2, y = u^2, 0 < z], [regular_chain, [[1, 1], [
-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [
1297479/524288, 2594959/1048576], [1, 1]]]], [[8, 7, 8, 7, 1], [v = 1, And(-1
< u,u < 0), x = 0, 0 < y, z = z], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0
], [1, 1], [0, 0]]]], [[8, 9, 4, 3, 1], [v = 1, And(0 < u,u < 1), x = -1, And(
u^2-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1,
-1], [-3/8, -3/8], [-3, -3]]]], [[8, 9, 4, 3, 2], [v = 1, And(0 < u,u < 1), x
= -1, And(u^2-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [1/2,
1/2], [-1, -1], [-3/8, -3/8], [-1229565/1048576, -307391/262144]]]], [[8, 9, 4
, 3, 3], [v = 1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < 0), And(-(1-y)^(1
/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-3/
8, -3/8], [0, 0]]]], [[8, 9, 4, 3, 4], [v = 1, And(0 < u,u < 1), x = -1, And(u
^2-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -\
1], [-3/8, -3/8], [307391/262144, 1229565/1048576]]]], [[8, 9, 4, 3, 5], [v =
1, And(0 < u,u < 1), x = -1, And(u^2-1 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-3/8, -3/8], [3, 3]]]], [[8, 15
, 3, 7, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), And(-x < y,y < u^2-x-2)
, z = z], [regular_chain, [[1, 1], [3, 3], [-5, -5], [17/2, 17/2], [0, 0]]]],
[[9, 1, 6, 1, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, y < -u^2
+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3, -3], [0, 0], [-10, -10], [-5, -5]]]], [[9, 1, 6, 1, 2], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [-10, -\
10], [-3315889/1048576, -207243/65536]]]], [[9, 1, 6, 1, 3], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [0,
0], [-10, -10], [0, 0]]]], [[9, 1, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u < -(v^
2+2)^(1/2), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [0, 0], [-10, -10], [207243/65536, 
3315889/1048576]]]], [[9, 1, 6, 1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(
1/2), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [0, 0], [-10, -10], [5, 5]]]], [[9, 5, 9,
1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x <
1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-3, -3],
[-3, -3]]]], [[9, 5, 9, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]],
[[9, 5, 9, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And
(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-3, -3], [0, 0]]]], [[9, 5, 9, 1, 4], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y < -u^2+v^2
-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[9, 5, 9, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-3, -3], [3, 3]]]], [[9, 7, 5, 9, 1], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), -x
< y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [2, 2], [0,
0]]]], [[9, 9, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/524288, 
479311/1048576], [-4, -4], [-3, -3]]]], [[9, 9, 8, 1, 2], [And(1 < v,v < 2^(1/
2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^
2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-4, -4], [-7894761/4194304
, -15789521/8388608]]]], [[9, 9, 8, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-\
1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^
2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-4, -4], [-1/
16777216, -1/16777216]]]], [[9, 9, 8, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v
^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
239655/524288, 479311/1048576], [-4, -4], [986845/524288, 1973691/1048576]]]],
[[9, 9, 8, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/524288, 
479311/1048576], [-4, -4], [3, 3]]]], [[9, 11, 3, 6, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [
448653/524288, 897307/1048576], [-2, -2]]]], [[9, 11, 3, 6, 2], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^
2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [448653/524288, 897307/1048576], [-1374407/2097152, -687203/1048576]
]]], [[9, 11, 3, 6, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [448653
/524288, 897307/1048576], [0, 0]]]], [[9, 11, 3, 6, 4], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [448653
/524288, 897307/1048576], [687203/1048576, 171801/262144]]]], [[9, 11, 3, 6, 5
], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x
< -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304
, -5390713/4194304], [448653/524288, 897307/1048576], [2, 2]]]], [[9, 15, 9, 9
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u
^2-v^2-1 < x,x < 1), 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [
1, 1], [0, 0]]]], [[9, 17, 3, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [625403/262144, 625403/262144], [-3, -3]]]], [[9, 17, 3,
5, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [625403/
262144, 625403/262144], [-3239217/2097152, -202451/131072]]]], [[9, 17, 3, 5,
3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), 
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [625403/262144, 625403/262144], [0, 0]]]], [[9, 17, 3, 5, 4], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [-10006449/2097152, -10006449/2097152], [625403/262144, 625403/262144],
[202451/131072, 1619609/1048576]]]], [[9, 17, 3, 5, 5], [And(1 < v,v < 2^(1/2)
), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-\
10006449/2097152, -10006449/2097152], [625403/262144, 625403/262144], [3, 3]]]
], [[10, 5, 8, 2, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y = -u^2+
1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1546383/1048576, -773191/524288]
, [-3, -3]]]], [[10, 5, 8, 2, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
0, y = -u^2+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-1546383/1048576, -\
773191/524288], [-636691/524288, -1273381/1048576]]]], [[10, 5, 8, 2, 3], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z
< (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1546383/1048576, -773191/524288]
, [0, 0]]]], [[10, 5, 8, 2, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0,
y = -u^2+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-1546383/1048576, -\
773191/524288], [1273381/1048576, 636691/524288]]]], [[10, 5, 8, 2, 5], [v = 2
^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [0, 0], [-1546383/1048576, -773191/524288], [3, 3]]]], [[10, 7, 5, 3
, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2-x-3 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152],
[-3415591/8388608, -3415591/8388608], [-3, -3]]]], [[10, 7, 5, 3, 2], [v = 2^(
1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-3415591/
8388608, -3415591/8388608], [-1117471/1048576, -558735/524288]]]], [[10, 7, 5,
3, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2-x-3 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [-3415591/8388608, -3415591/8388608], [0, 0]]]], [
[10, 7, 5, 3, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), 
And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-3415591/8388608, -3415591/8388608], [558735/524288, 
1117471/1048576]]]], [[10, 7, 5, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), And(
-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-3415591/8388608, -3415591/8388608], [3,
3]]]], [[10, 11, 8, 1, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, y < 2*u
^2-4, z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1/2, 1/2], [3/4, 3/4], [-5, -5], [-4, -4]]]], [[10, 11, 8, 1, 2], [v = 2^(1
/2), And(0 < u,u < 1), x = -u^2+1, y < 2*u^2-4, z = -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-5,
-5], [-2161695/1048576, -1080847/524288]]]], [[10, 11, 8, 1, 3], [v = 2^(1/2),
And(0 < u,u < 1), x = -u^2+1, y < 2*u^2-4, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y
-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3
/4, 3/4], [-5, -5], [0, 0]]]], [[10, 11, 8, 1, 4], [v = 2^(1/2), And(0 < u,u <
1), x = -u^2+1, y < 2*u^2-4, z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-5, -5], [1080847/524288, 
2161695/1048576]]]], [[10, 11, 8, 1, 5], [v = 2^(1/2), And(0 < u,u < 1), x = -
u^2+1, y < 2*u^2-4, (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-5, -5], [4, 4]]]], [[10, 13, 3, 6,
1], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = -u^2-x+1, z < -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [853897/
1048576, 426949/524288], [-2, -2]]]], [[10, 13, 3, 6, 2], [v = 2^(1/2), And(1
< u,u < v), And(u^2-3 < x,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/1048576, 426949/524288
], [-1417877/2097152, -354469/524288]]]], [[10, 13, 3, 6, 3], [v = 2^(1/2), 
And(1 < u,u < v), And(u^2-3 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,
z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [0, 0]]]], [[10, 13, 3, 6, 4], [v = 2^(1/2), 
And(1 < u,u < v), And(u^2-3 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/1048576, 426949/524288
], [354469/524288, 708939/1048576]]]], [[10, 13, 3, 6, 5], [v = 2^(1/2), And(1
< u,u < v), And(u^2-3 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/1048576, 426949/524288
], [2, 2]]]], [[11, 3, 5, 7, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [
391655/524288, 391655/524288], [0, 0]]]], [[11, 5, 1, 3, 1], [2^(1/2) < v, And
(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3
, -3], [197471/262144, 197471/262144], [-3, -3]]]], [[11, 5, 1, 3, 2], [2^(1/2
) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-
x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [-3, -3], [197471/262144, 197471/262144], [-1571713/1048576, -12279/
8192]]]], [[11, 5, 1, 3, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [
197471/262144, 197471/262144], [0, 0]]]], [[11, 5, 1, 3, 4], [2^(1/2) < v, And
(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3,
-3], [197471/262144, 197471/262144], [12279/8192, 1571713/1048576]]]], [[11, 5
, 1, 3, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, And(
0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [-3, -3], [197471/262144, 197471/262144], [3, 3]]]],
[[11, 9, 7, 4, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(0 < x,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain, [[3, 3], [-22960369
/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-133259/
524288, -266517/1048576], [-1, -1]]]], [[11, 9, 7, 4, 2], [2^(1/2) < v, And(-(
v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v^2-1), y = -x, z = 0
], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [533035/
2097152, 533035/2097152], [-133259/524288, -266517/1048576], [0, 0]]]], [[11,
9, 7, 4, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 <
x,x < -u^2+v^2-1), y = -x, 0 < z], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [533035/2097152, 533035/2097152], [-133259/524288, -\
266517/1048576], [1, 1]]]], [[11, 10, 9, 9, 1], [2^(1/2) < v, u = -(v^2-2)^(1/
2), 1 < x, 0 < y, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271
/1048576], [2, 2], [1, 1], [0, 0]]]], [[11, 16, 7, 4, 1], [2^(1/2) < v, u = v,
1 < x, y = -x, z < 0], [regular_chain, [[3, 3], [3, 3], [2, 2], [-2, -2], [-1,
-1]]]], [[11, 16, 7, 4, 2], [2^(1/2) < v, u = v, 1 < x, y = -x, z = 0], [
regular_chain, [[3, 3], [3, 3], [2, 2], [-2, -2], [0, 0]]]], [[11, 16, 7, 4, 3
], [2^(1/2) < v, u = v, 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [3, 3]
, [2, 2], [-2, -2], [1, 1]]]], [[11, 18, 3, 6, 1], [2^(1/2) < v, u = (v^2+1)^(
1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[11, 18, 3, 6
, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3/2, 3
/2], [0, 0]]]], [[11, 18, 3, 6, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 <
x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[1, 1, 11, 3, 1], [v < -2^(1/2
), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-49/2, -49/2], [-4,
-4]]]], [[1, 1, 11, 3, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, 
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
-5, -5], [16, 16], [-49/2, -49/2], [-24456785/8388608, -1528549/524288]]]], [[
1, 1, 11, 3, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^
2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-3, -3], [-5, -5], [16, 16], [-49/2, -49/2], [0, 0]]]], [[1, 1, 11, 3, 4], [v
< -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-49/2, -49/2]
, [1528549/524288, 3057099/1048576]]]], [[1, 1, 11, 3, 5], [v < -2^(1/2), u <
-(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-49/2, -49/2], [4, 4]]]], [[
1, 3, 4, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
-1, y = 0, z < -1], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[1, 3, 4, 4, 2], [v < -2^(1/2), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain
, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [0, 0], [-1, -1]]
]], [[1, 3, 4, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [0, 0], [0, 0]]]], [[1, 3, 4, 4, 4], [v
< -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z = 1],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [0,
0], [1, 1]]]], [[1, 3, 4, 4, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [0, 0], [2, 2]]]], [[1, 7, 10, 9, 1], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1], [1, 1]
, [0, 0]]]], [[1, 9, 5, 8, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [-1/2, -1/2], [1057323/1048576, 
264331/262144], [0, 0]]]], [[1, 15, 2, 4, 1], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [133001/131072, 1064009/1048576], [-2, -2]]]], [[1,
15, 2, 4, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y =
-2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [133001/131072,
1064009/1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 15, 2, 4, 3], [
v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [
133001/131072, 1064009/1048576], [-1/4194304, -1/4194304]]]], [[1, 15, 2, 4, 4
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v
^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-3161161/2097152, -395145/262144], [133001/131072, 1064009/
1048576], [367989/524288, 735979/1048576]]]], [[1, 15, 2, 4, 5], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^
(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [133001/131072, 1064009/1048576], [2, 2]]]],
[[1, 16, 5, 6, 1], [v < -2^(1/2), u = -v, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 21, 2, 1
, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y
+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [-1, -1], [-6, -6]]
]], [[1, 21, 2, 1, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0
, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [-\
1, -1], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 2, 1, 3], [v < -2^(1/
2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z <
(u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [-1, -1]
, [0, 0]]]], [[1, 21, 2, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2
-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-17,
-17], [-1, -1], [4448731/1048576, 1112183/262144]]]], [[1, 21, 2, 1, 5], [v <
-2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z],
[regular_chain, [[-3, -3], [5, 5], [-17, -17], [-1, -1], [6, 6]]]], [[2, 1, 4,
2, 1], [v = -2^(1/2), u < -2, x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [-7, -\
7], [-4, -4]]]], [[2, 1, 4, 2, 2], [v = -2^(1/2), u < -2, x = -1, y = -u^2+2,
z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [-1, -1], [-7, -7], [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 4,
2, 3], [v = -2^(1/2), u < -2, x = -1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (
u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[-1, -1], [-7, -7], [-3/8388608, -3/8388608]]]], [[2, 1, 4, 2, 4], [v = -2^(1/
2), u < -2, x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [-1, -1], [-7, -7], [741455/262144, 
2965821/1048576]]]], [[2, 1, 4, 2, 5], [v = -2^(1/2), u < -2, x = -1, y = -u^2
+2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [-1, -1], [-7, -7], [4, 4]]]], [[2, 10, 9, 1, 1], [v = -2^(1/2), u =
0, 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [2, 2], [-6, -6], [-3, -3]]]], [[2, 10, 9, 1, 2], [v =
-2^(1/2), u = 0, 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [2, 2], [-6, -6], [-2, -2]]]], [[2,
10, 9, 1, 3], [v = -2^(1/2), u = 0, 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [
2, 2], [-6, -6], [0, 0]]]], [[2, 10, 9, 1, 4], [v = -2^(1/2), u = 0, 1 < x, y
< -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [0, 0], [2, 2], [-6, -6], [2, 2]]]], [[2, 10, 9, 1, 5], [v = -2^(1/2), u = 0
, 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [2, 2], [-6, -6], [3, 3]]]], [[2, 12, 2, 2, 1], [v = -
2^(1/2), u = 1, x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-2, -2], [0, 0], [-3, -3]]]], [[2, 12, 2, 2
, 2], [v = -2^(1/2), u = 1, x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-2, -2], [0, 0], [-1482911/1048576,
-741455/524288]]]], [[2, 12, 2, 2, 3], [v = -2^(1/2), u = 1, x = -2, y = 0, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-2, -2], [0, 0], [0, 0]]]], [[2, 12, 2, 2, 4], [v = -2^(1/2)
, u = 1, x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]],
[[2, 12, 2, 2, 5], [v = -2^(1/2), u = 1, x = -2, y = 0, 2^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [0, 0],
[3, 3]]]], [[2, 17, 1, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+
1, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [
5785989/2097152, 5785989/2097152], [-3, -3]]]], [[2, 17, 1, 5, 2], [v = -2^(1/
2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152,
3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [-4563/4096, -\
1168127/1048576]]]], [[2, 17, 1, 5, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x < -u^2+1, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [0, 0]]]], [[2
, 17, 1, 5, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(-u^2-x+
1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [-4, -4], [5785989/2097152, 
5785989/2097152], [1168127/1048576, 4563/4096]]]], [[2, 17, 1, 5, 5], [v = -2^
(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [3, 3
]]]], [[2, 18, 3, 6, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y = -x, z <
0], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -2], [2,
2], [-1, -1]]]], [[2, 18, 3, 6, 2], [v = -2^(1/2), u = 2, And(-3 < x,x < -1),
y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [
-2, -2], [2, 2], [0, 0]]]], [[2, 18, 3, 6, 3], [v = -2^(1/2), u = 2, And(-3 <
x,x < -1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [-2, -2], [2, 2], [1, 1]]]], [[3, 4, 8, 7, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [1, 1]
, [0, 0]]]], [[3, 6, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1, And(0
< y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1/2, 1/2], [-2, -2]
]]], [[3, 6, 2, 3, 2], [And(-2^(1/2) < v,v < -1), u = v, x = -1, And(0 < y,y <
1), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152,
-741455/1048576]]]], [[3, 6, 2, 3, 3], [And(-2^(1/2) < v,v < -1), u = v, x = -\
1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-\
1, -1], [1/2, 1/2], [0, 0]]]], [[3, 6, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u
= v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1
/2, 1/2], [741455/1048576, 46341/65536]]]], [[3, 6, 2, 3, 5], [And(-2^(1/2) <
v,v < -1), u = v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [
-1, -1], [1/2, 1/2], [2, 2]]]], [[3, 11, 1, 6, 1], [And(-2^(1/2) < v,v < -1),
And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-3, -3], [673839/262144, 2695357/1048576], [-2, -2]
]]], [[3, 11, 1, 6, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -
v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3,
-3], [673839/262144, 2695357/1048576], [-1374407/2097152, -687203/1048576]]]],
[[3, 11, 1, 6, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x
< u^2-v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2
))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [-3, -3], [673839/262144, 2695357/1048576], [0, 0]]]], [[3, 
11, 1, 6, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^
2-v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [
673839/262144, 2695357/1048576], [687203/1048576, 171801/262144]]]], [[3, 11,
1, 6, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^
2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [
673839/262144, 2695357/1048576], [2, 2]]]], [[3, 12, 4, 4, 1], [And(-2^(1/2) <
v,v < -1), u = -v, x = 0, y = 0, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [-1, -1]
]]], [[3, 12, 4, 4, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = 0, y = 0, z = 0
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[3, 12, 4, 4, 3], [And(-2^(1/2)
< v,v < -1), u = -v, x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [1, 1]]
]], [[3, 14, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, 0
< y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [1, 1], [0, 0]]]], [[3, 16, 3, 1, 1], [And(-2
^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [-2, -2], [-3, -3]]]], [[3, 16, 3, 1, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853
/65536, 1949649/1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[3, 16, 3, 1, 3],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [-2, -2], [0, 0]
]]], [[3, 16, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 <
x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [-2, -2], [2, 2]]
]], [[3, 16, 3, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 <
x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2], [-2, -2], [3, 3]]
]], [[4, 3, 4, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(-u^
2+1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1, -1], [-773191/1048576, -773191/1048576], [-3,
-3]]]], [[4, 3, 4, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And
(-u^2+1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1, -1], [-773191/1048576, -773191/1048576], [-\
691061/524288, -1382121/1048576]]]], [[4, 3, 4, 3, 3], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1
, -1], [-773191/1048576, -773191/1048576], [0, 0]]]], [[4, 3, 4, 3, 4], [v = -\
1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1
/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1
], [-773191/1048576, -773191/1048576], [1382121/1048576, 691061/524288]]]], [[
4, 3, 4, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(-u^2+1 <
y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [-773191/1048576, -773191/1048576], [3, 3]]]], [[4
, 4, 7, 7, 1], [v = -1, u = -2^(1/2), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1/2, 1/2], [1,
1], [0, 0]]]], [[4, 11, 2, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y
= u^2, z < 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-1527887/1048576, -763943/524288], [763943/524288, 1527887/1048576], [-1, -1]
]]], [[4, 11, 2, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y = u^2, z
= 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887
/1048576, -763943/524288], [763943/524288, 1527887/1048576], [0, 0]]]], [[4, 
11, 2, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y = u^2, 0 < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [763943/524288, 1527887/1048576], [1, 1]]]], [[4, 12
, 5, 6, 1], [v = -1, u = 2^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [-1/2, -1/2], [1/2
, 1/2], [-1, -1]]]], [[4, 12, 5, 6, 2], [v = -1, u = 2^(1/2), And(-1 < x,x < 0
), y = -x, z = 0], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576]
, [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[4, 12, 5, 6, 3], [v = -1, u = 2^(1/2)
, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1, -1], [741455/524288
, 1482911/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[5, 1, 7, 9, 1], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-v^2-x-1 < y, z =
z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [9, 9], [0, 0]]]], [[
5, 3, 1, 1, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-4, -4], [-1, -1], [-4, -4]]]], [[5, 3, 1, 1,
2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v
^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]
]]], [[5, 3, 1, 1, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-1,
-1], [0, 0]]]], [[5, 3, 1, 1, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-1, -1], [2344687/
1048576, 146543/65536]]]], [[5, 3, 1, 1, 5], [And(-1 < v,v < 0), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [-1,
-1], [4, 4]]]], [[5, 12, 9, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 <
x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3
/2, 3/2], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[5, 12, 9, 3, 2], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-7/2, -7/2], [-1284239/
1048576, -642119/524288]]]], [[5, 12, 9, 3, 3], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-7/2, -7/2], [0, 0]]]],
[[5, 12, 9, 3, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2],
[-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[5, 12, 9, 3, 5], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-7/2, -7/2], [3, 3]]]], [[
6, 1, 2, 2, 1], [v = 0, u < -2^(1/2), x = -u^2-1, y = 0, z < -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-3, -3], [-10, -10], [0, 0], [-5, -5]]]], [[6, 1, 2,
2, 2], [v = 0, u < -2^(1/2), x = -u^2-1, y = 0, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-10, -10], [0, 0], [-3315889/1048576, -\
207243/65536]]]], [[6, 1, 2, 2, 3], [v = 0, u < -2^(1/2), x = -u^2-1, y = 0, 
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-3, -3],
[-10, -10], [0, 0], [0, 0]]]], [[6, 1, 2, 2, 4], [v = 0, u < -2^(1/2), x = -u^
2-1, y = 0, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-10, -10],
[0, 0], [207243/65536, 3315889/1048576]]]], [[6, 1, 2, 2, 5], [v = 0, u < -2^(
1/2), x = -u^2-1, y = 0, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3]
, [-10, -10], [0, 0], [5, 5]]]], [[6, 5, 5, 4, 1], [v = 0, And(-1 < u,u < 0),
And(-1 < x,x < u^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-1/2
, -1/2], [-7/8, -7/8], [0, 0], [-2, -2]]]], [[6, 5, 5, 4, 2], [v = 0, And(-1 <
u,u < 0), And(-1 < x,x < u^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-7/8, -7/8], [0, 0], [-7846825/8388608, -980853/1048576]]]]
, [[6, 5, 5, 4, 3], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [
-7/8, -7/8], [0, 0], [0, 0]]]], [[6, 5, 5, 4, 4], [v = 0, And(-1 < u,u < 0), 
And(-1 < x,x < u^2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [-1/2,
-1/2], [-7/8, -7/8], [0, 0], [980853/1048576, 490427/524288]]]], [[6, 5, 5, 4,
5], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y = 0, (-x)^(1/2) < z],
[regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [0, 0], [2, 2]]]], [[6, 7
, 2, 1, 1], [v = 0, And(0 < u,u < 1), x = -u^2-1, y < 0, z < -(u^2-y+1)^(1/2)]
, [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [-1, -1], [-3, -3]]]], [[
6, 7, 2, 1, 2], [v = 0, And(0 < u,u < 1), x = -u^2-1, y < 0, z = -(u^2-y+1)^(1
/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [-1, -1], [-3/2, -3/2
]]]], [[6, 7, 2, 1, 3], [v = 0, And(0 < u,u < 1), x = -u^2-1, y < 0, And(-(u^2
-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-\
5/4, -5/4], [-1, -1], [0, 0]]]], [[6, 7, 2, 1, 4], [v = 0, And(0 < u,u < 1), x
= -u^2-1, y < 0, z = (u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-\
5/4, -5/4], [-1, -1], [3/2, 3/2]]]], [[6, 7, 2, 1, 5], [v = 0, And(0 < u,u < 1
), x = -u^2-1, y < 0, (u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2
], [-5/4, -5/4], [-1, -1], [3, 3]]]], [[7, 1, 7, 4, 1], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1/2, 1/2],
[-3, -3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[7, 1, 7, 4, 2], [And(0 < v,
v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain,
[[1/2, 1/2], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[7, 1, 7, 4, 3],
[And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[7
, 2, 9, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, And(-x < y,y < 1-
x), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-3/2, -3/2], [
0, 0]]]], [[7, 7, 7, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2
-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [-2, -2]]]], [
[7, 7, 7, 3, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x <
0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [-1, -1]]]], [[7, 7, 7, 3, 3]
, [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2
-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [0, 0]]]], [[7
, 7, 7, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0)
, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [0, 0], [-3/8, -3/8], [-5/8, -5/8], [1, 1]]]], [[7, 7, 7, 3, 5], [
And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-\
1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0
], [-3/8, -3/8], [-5/8, -5/8], [2, 2]]]], [[7, 9, 3, 9, 1], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), -x < y, z = z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-2521309/
2097152, -2521309/2097152], [3, 3], [0, 0]]]], [[7, 11, 6, 2, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[0, 0], [-2583195/1048576, -1291597/524288], [-3, -3]]]], [[7, 11, 6, 2, 2], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^
2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [-3291611/2097152
, -1645805/1048576]]]], [[7, 11, 6, 2, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [0, 0], [-2583195/1048576, -1291597/524288], [0, 0]]]], [[7, 11, 6, 2
, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y =
-u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [1645805/
1048576, 822903/524288]]]], [[7, 11, 6, 2, 5], [And(0 < v,v < 1), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [-2583195/
1048576, -1291597/524288], [3, 3]]]], [[7, 12, 8, 7, 1], [And(0 < v,v < 1), u
= (v^2+2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2]
, [1, 1], [1, 1], [0, 0]]]], [[8, 3, 9, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2
^(1/2)), And(u^2-2 < x,x < 1), And(-x < y,y < u^2-x-2), z = z], [regular_chain
, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/
2097152], [-2097155/4194304, -2097155/4194304], [0, 0]]]], [[8, 5, 4, 8, 1], [
v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = 1, z < 0], [regular_chain, [[1, 1
], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[8, 5
, 4, 8, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = 1, z = 0], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1]
, [0, 0]]]], [[8, 5, 4, 8, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = 1
, 0 < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1,
-1], [1, 1], [1, 1]]]], [[8, 11, 8, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x =
0, y < -u^2, z < -(-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[8, 11, 8, 1, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), x = 0, y < -u^2, z = -(-y)^(1/2)], [regular_chain, [[1
, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-3, -3], [-1816187/1048576,
-3632373/2097152]]]], [[8, 11, 8, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = 0
, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]
]], [[8, 11, 8, 1, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y < -u^2, z = (-
y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0]
, [-3, -3], [908093/524288, 1816187/1048576]]]], [[8, 11, 8, 1, 5], [v = 1, 
And(1 < u,u < 2^(1/2)), x = 0, y < -u^2, (-y)^(1/2) < z], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [0, 0], [-3, -3], [3, 3]]]], [[8, 13,
3, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = -x,
z < 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533
/2097152, -3643533/2097152], [910883/524288, 1821767/1048576], [-1, -1]]]], [[
8, 13, 3, 6, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y
= -x, z = 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-\
3643533/2097152, -3643533/2097152], [910883/524288, 1821767/1048576], [0, 0]]]
], [[8, 13, 3, 6, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -\
1), y = -x, 0 < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152
], [-3643533/2097152, -3643533/2097152], [910883/524288, 1821767/1048576], [1,
1]]]], [[9, 2, 1, 9, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x < -3,
1-x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-4, -4], [6, 6], [0, 0]]]], [[9, 3, 6, 5,
1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0
, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-14373233/8388608, -14373233/8388608], [0, 0], [501965/2097152, 
501965/2097152], [0, 0]]]], [[9, 13, 7, 5, 1], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-139585/
1048576, -139585/1048576], [-2, -2]]]], [[9, 13, 7, 5, 2], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [-139585/1048576, -139585/1048576], [-165661/262144, -1325287/2097152]]]], [
[9, 13, 7, 5, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u
^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-139585/524288, -139585/524288], [-139585/1048576,
-139585/1048576], [-1/4194304, -1/4194304]]]], [[9, 13, 7, 5, 4], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^
2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [-139585/1048576, -139585/1048576], [662643/1048576, 165661/262144]]
]], [[9, 13, 7, 5, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-139585/524288, -139585/524288], [-139585/1048576, -139585/1048576]
, [2, 2]]]], [[9, 15, 3, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288,
898327/524288], [-3647693/2097152, -3647693/2097152], [-2, -2], [-3, -3]]]], [
[9, 15, 3, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [-2, -2], [-16221399/8388608, -\
8110699/4194304]]]], [[9, 15, 3, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/
2097152], [-2, -2], [-3/8388608, -3/8388608]]]], [[9, 15, 3, 1, 4], [And(1 < v
,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/
2097152], [-2, -2], [1013837/524288, 2027675/1048576]]]], [[9, 15, 3, 1, 5], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [-2, -2], [3, 3]]]], [[10, 2, 1, 4, 1], [v = 2^(1/2), u = -\
2, x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-2, -2], [-4, -4], [1, 1], [-3, -3]]]], [[10, 2, 1, 4, 2], [v = 2^(
1/2), u = -2, x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-2, -2], [-4, -4], [1, 1], [-1816187/1048576, -3632373/
2097152]]]], [[10, 2, 1, 4, 3], [v = 2^(1/2), u = -2, x < -3, y = -x-3, And(-3
^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
-2, -2], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[10, 2, 1, 4, 4], [v
= 2^(1/2), u = -2, x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-4, -4], [1, 1], [908093/524288, 1816187/
1048576]]]], [[10, 2, 1, 4, 5], [v = 2^(1/2), u = -2, x < -3, y = -x-3, 3^(1/2
) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-2, -2], [-4, -4],
[1, 1], [3, 3]]]], [[10, 3, 5, 9, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
And(-1 < x,x < 0), u^2-x-3 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1/2, -1/2], [2, 2],
[0, 0]]]], [[10, 9, 7, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -
u^2+1), y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/
2, -1/2], [3/8, 3/8], [0, 0], [0, 0]]]], [[10, 11, 1, 2, 1], [v = 2^(1/2), And
(0 < u,u < 1), x < u^2-3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [0, 0], [-3, -3]]]], [[10, 11,
1, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = 0, z = -(-x)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [0, 0
], [-2, -2]]]], [[10, 11, 1, 2, 3], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3,
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [1/2, 1/2], [-4, -4], [0, 0], [0, 0]]]], [[10, 11, 1, 2, 4],
[v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [-4, -4], [0, 0]
, [2, 2]]]], [[10, 11, 1, 2, 5], [v = 2^(1/2), And(0 < u,u < 1), x < u^2-3, y
= 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2,
1/2], [-4, -4], [0, 0], [3, 3]]]], [[10, 15, 7, 3, 1], [v = 2^(1/2), And(v < u
,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-275385/1048576, -275385/1048576], [-773191/1048576, -\
773191/1048576], [-2, -2]]]], [[10, 15, 7, 3, 2], [v = 2^(1/2), And(v < u,u <
3^(1/2)), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [-773191/1048576, -\
773191/1048576], [-1, -1]]]], [[10, 15, 7, 3, 3], [v = 2^(1/2), And(v < u,u <
3^(1/2)), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
773191/1048576, -773191/1048576], [0, 0]]]], [[10, 15, 7, 3, 4], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), z
= (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-773191/
1048576, -773191/1048576], [1, 1]]]], [[10, 15, 7, 3, 5], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^
(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-773191/
1048576, -773191/1048576], [2, 2]]]], [[10, 17, 2, 6, 1], [v = 2^(1/2), And(3^
(1/2) < u,u < 2), x = -u^2+1, y = 2*u^2-4, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-650655/262144,
-2602619/1048576], [1554043/524288, 3108087/1048576], [0, 0]]]], [[10, 19, 3,
1, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y < -u^2-x+1, z < -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2
], [-5, -5], [-5, -5]]]], [[10, 19, 3, 1, 2], [v = 2^(1/2), 2 < u, And(-u^2+1
< x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [-9/2, -9/2], [-5, -5], [-3231929/1048576, -403991
/131072]]]], [[10, 19, 3, 1, 3], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1),
y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [-5, -5], [0, 0]]]], [[
10, 19, 3, 1, 4], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y < -u^2-x+1, z
= (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-\
9/2, -9/2], [-5, -5], [403991/131072, 3231929/1048576]]]], [[10, 19, 3, 1, 5],
[v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y < -u^2-x+1, (-x-y)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [-5,
-5], [5, 5]]]], [[11, 1, 5, 4, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -\
1/2], [0, 0], [-2, -2]]]], [[11, 1, 5, 4, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2)
, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5
], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[11, 1, 5, 4
, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [0,
0], [0, 0]]]], [[11, 1, 5, 4, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x
,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/
2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 1, 5, 4, 5], [2^(1/2) < v,
u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain,
[[3, 3], [-5, -5], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 5, 8, 2, 1], [2^(1/2
) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-\
195745/131072, -1565959/1048576], [-3, -3]]]], [[11, 5, 8, 2, 2], [2^(1/2) < v
, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-\
195745/131072, -1565959/1048576], [-1281417/1048576, -160177/131072]]]], [[11,
5, 8, 2, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2
-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3
], [-403851/131072, -403851/131072], [0, 0], [-195745/131072, -1565959/1048576
], [0, 0]]]], [[11, 5, 8, 2, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [0, 0], [-195745/131072, -1565959/1048576], [
160177/131072, 1281417/1048576]]]], [[11, 5, 8, 2, 5], [2^(1/2) < v, And(-(v^2
+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-195745/
131072, -1565959/1048576], [3, 3]]]], [[11, 7, 5, 3, 1], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0
), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-391287/524288, -391287/524288], [-399003/1048576, -399003/1048576]
, [-3, -3]]]], [[11, 7, 5, 3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2))
, And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/524288
, -391287/524288], [-399003/1048576, -399003/1048576], [-278273/262144, -\
1113091/1048576]]]], [[11, 7, 5, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [-399003/1048576, -399003/
1048576], [0, 0]]]], [[11, 7, 5, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/
2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-399003/1048576, -399003/1048576], [1113091/1048576,
278273/262144]]]], [[11, 7, 5, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1
/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-391287/
524288, -391287/524288], [-399003/1048576, -399003/1048576], [3, 3]]]], [[11,
13, 1, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-
v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-4, -4], [0, 0], [-3, -3]]]], [[11, 13, 1, 2, 2], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(
1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [0
, 0], [-2, -2]]]], [[11, 13, 1, 2, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [0, 0], [0
, 0]]]], [[11, 13, 1, 2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-4, -4], [0, 0], [2, 2]]]], [[11, 13, 1, 2,
5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y =
0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[-4, -4], [0, 0], [3, 3]]]], [[11, 14, 4, 4, 1], [2^(1/2) < v, u = (v^2-1)^(1/
2), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[11, 14, 4, 4, 2], [2^(1/2) < v, u =
(v^2-1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[3, 3], [741455/262144
, 2965821/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[11, 14, 4, 4, 3], [2^(1/2
) < v, u = (v^2-1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [0, 0], [0, 0]]]], [[11, 
14, 4, 4, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [0, 0], [1
, 1]]]], [[11, 14, 4, 4, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = 0, 1
< z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [0,
0], [2, 2]]]], [[11, 19, 3, 1, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [-2, -2], [-3, -3]]]], [[11, 19, 3, 1, 2], [2^(1/2) < v, And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2
-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [-2, -2], [-4059505/2097152, -\
16238019/8388608]]]], [[11, 19, 3, 1, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [-2, -2], [-3/16777216, -3
/16777216]]]], [[11, 19, 3, 1, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288,
-915943/524288], [-2, -2], [253719/131072, 2029753/1048576]]]], [[11, 19, 3, 1
, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-2, -2],
[3, 3]]]], [[11, 20, 5, 4, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x <
0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[11, 20, 5, 4, 2], [2^(1/
2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [0, 0
], [-1482911/2097152, -741455/1048576]]]], [[11, 20, 5, 4, 3], [2^(1/2) < v, u
= (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))
], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [
0, 0], [0, 0]]]], [[11, 20, 5, 4, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1
< x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11,
20, 5, 4, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^
(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2,
-1/2], [0, 0], [2, 2]]]], [[1, 5, 7, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/4194304,
-1062385/4194304], [-3, -3], [-3, -3]]]], [[1, 5, 7, 1, 2], [v < -2^(1/2), And
(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
1062385/4194304, -1062385/4194304], [-3, -3], [-7565219/4194304, -3782609/
2097152]]]], [[1, 5, 7, 1, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385
/4194304, -1062385/4194304], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 5, 7,
1, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0),
y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1062385/4194304, -1062385/4194304], [-3, -3], [
236413/131072, 1891305/1048576]]]], [[1, 5, 7, 1, 5], [v < -2^(1/2), And(-(v^2
+1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1062385/
4194304, -1062385/4194304], [-3, -3], [3, 3]]]], [[1, 7, 3, 7, 1], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-657289/524288, -657289/524288], [2112585/2097152, 2112585
/2097152], [-2, -2]]]], [[1, 7, 3, 7, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1
)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
657289/524288, -657289/524288], [2112585/2097152, 2112585/2097152], [-16263/
32768, -520415/1048576]]]], [[1, 7, 3, 7, 3], [v < -2^(1/2), And(v < u,u < -(v
^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [2112585/2097152
, 2112585/2097152], [0, 0]]]], [[1, 7, 3, 7, 4], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [-657289/524288, -657289/524288], [2112585/2097152, 2112585/2097152], [
520415/1048576, 16263/32768]]]], [[1, 7, 3, 7, 5], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [2112585/2097152, 2112585/2097152]
, [2, 2]]]], [[1, 11, 6, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), x = 0, And(0 < y,y < -u^2+v^2-1), z = z], [regular_chain, [[-3, -3
], [0, 0], [0, 0], [4, 4], [0, 0]]]], [[1, 12, 8, 6, 1], [v < -2^(1/2), u = (v
^2-2)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [2774271/1048576
, 10837/4096], [1, 1], [0, 0], [0, 0]]]], [[1, 19, 1, 7, 1], [v < -2^(1/2), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-x < y,y < u^2-v
^2-x-1), z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576]
, [-4, -4], [2226663/524288, 2226663/524288], [0, 0]]]], [[1, 20, 3, 8, 1], [v
< -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 1-x, z = z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [3, 3],
[0, 0]]]], [[2, 3, 4, 8, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1,
y = u^2-2, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [1554043/1048576, 388511/262144]
, [0, 0]]]], [[2, 4, 8, 5, 1], [v = -2^(1/2), u = -3^(1/2), x = 1, And(-1 < y,
y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187
/1048576, -3632373/2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 7, 4, 3, 1]
, [v = -2^(1/2), And(v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), z < -(1-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152], [-3, -3]]]],
[[2, 7, 4, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(u^2-2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-569265/2097152, -569265/
2097152], [-591179/524288, -1182357/1048576]]]], [[2, 7, 4, 3, 3], [v = -2^(1/
2), And(v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152], [0,
0]]]], [[2, 7, 4, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, And(u^2-2 <
y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1265743/1048576, -1265743/1048576], [-1, -1], [-569265/2097152, -569265/
2097152], [1182357/1048576, 591179/524288]]]], [[2, 7, 4, 3, 5], [v = -2^(1/2)
, And(v < u,u < -1), x = -1, And(u^2-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152], [3, 3]]]], [[2
, 8, 7, 7, 1], [v = -2^(1/2), u = -1, And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [1,
1], [0, 0]]]], [[2, 13, 2, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3,
y = 0, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [0, 0], [-3, -3]]]], [[2, 13, 2, 2, 2], [v = -2^(1/2), And(1 < u,u <
-v), x = u^2-3, y = 0, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [0, 0], [-1302471/1048576, -651235/524288]]]], [[2
, 13, 2, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, y = 0, And(-(-u^2
+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [0, 0], [0, 0]]]], [[2, 13, 2, 2, 4], [v = -2^(1/2), And(1 <
u,u < -v), x = u^2-3, y = 0, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [0, 0], [651235/524288, 1302471/1048576]]]], [[2,
13, 2, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, y = 0, (-u^2+3)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [0, 0], [3, 3]]]], [
[2, 14, 5, 4, 1], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[2, 14, 5, 4, 2], [v = -2^(1
/2), u = -v, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [741455/524288, 1482911/1048576], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[2, 14, 5, 4, 3], [v = -2^(1/2), u = -v, And(0 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [741455/
524288, 1482911/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 1, 4, 4, 1
], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [0,
0], [-2, -2]]]], [[3, 1, 4, 4, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/
2), x = -1, y = 0, z = -1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [0, 0], [-1, -1]]]], [[3, 1, 4, 4, 3], [And(-2^(
1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [0,
0], [0, 0]]]], [[3, 1, 4, 4, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2)
, x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[3, 1, 4, 4, 5], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1, -1], [0, 0], [2, 2]]]], [[3, 2, 6,
3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0)
, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[3, 2,
6, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y <
0), z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3899297/2097152, -7798593/4194304], [0, 0], [-3/2, -3/2], [-1284239/1048576,
-642119/524288]]]], [[3, 2, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^
(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-3/2, -3/2], [0, 0]]]], [[3, 2, 6, 3, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [
[3, 2, 6, 3, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, And(-3
< y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-3/2, -3/2], [3, 3]]]
], [[3, 7, 4, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [-\
3, -3]]]], [[3, 7, 4, 1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)
^(1/2)), x = -1, y < u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-\
2, -2], [-1816187/1048576, -3632373/2097152]]]], [[3, 7, 4, 1, 3], [And(-2^(1/
2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [-1/
4194304, -1/4194304]]]], [[3, 7, 4, 1, 4], [And(-2^(1/2) < v,v < -1), And(v <
u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[3, 7, 4, 1, 5], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, (1-
y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [3, 3]]]], [[3, 8, 7,
5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), And(-x
< y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1417877/2097152, -354469/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[4, 1,
3, 7, 1], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(-x < y,y < u^2-x-2)
, z = z], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [17/2, 17/2], [0, 0]]
]], [[4, 2, 5, 6, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), y = -x, z < 0]
, [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2
], [1/2, 1/2], [-1, -1]]]], [[4, 2, 5, 6, 2], [v = -1, u = -3^(1/2), And(-1 <
x,x < 0), y = -x, z = 0], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[4, 2, 5, 6, 3], [v =
-1, u = -3^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [
[4, 7, 3, 6, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = -u^2-x
, z < u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [9/8, 9/8],
[-2, -2]]]], [[4, 7, 3, 6, 2], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -\
1), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8
], [9/8, 9/8], [-1/2, -1/2]]]], [[4, 7, 3, 6, 3], [v = -1, And(-1 < u,u < 0),
And(u^2-2 < x,x < -1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[-1, -\
1], [-1/2, -1/2], [-11/8, -11/8], [9/8, 9/8], [0, 0]]]], [[4, 7, 3, 6, 4], [v
= -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [9/8, 9/8], [1/2, 1/2]
]]], [[4, 7, 3, 6, 5], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y =
-u^2-x, -u < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [9/8
, 9/8], [2, 2]]]], [[4, 8, 7, 1, 1], [v = -1, u = 0, And(0 < x,x < 1), y < -x-\
2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-4, -4]
, [-3, -3]]]], [[4, 8, 7, 1, 2], [v = -1, u = 0, And(0 < x,x < 1), y < -x-2, z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-4, -4], [-\
7846825/4194304, -980853/524288]]]], [[4, 8, 7, 1, 3], [v = -1, u = 0, And(0 <
x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1, -1], [0, 0], [1/2, 1/2], [-4, -4], [0, 0]]]], [[4, 8, 7, 1, 4], [v = -1,
u = 0, And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1
], [0, 0], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[4, 8,
7, 1, 5], [v = -1, u = 0, And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-4, -4], [3, 3]]]], [[4, 14, 7,
4, 1], [v = -1, u = 3^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1
]]]], [[4, 14, 7, 4, 2], [v = -1, u = 3^(1/2), And(0 < x,x < 1), y = -x, z = 0
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-\
1/2, -1/2], [0, 0]]]], [[4, 14, 7, 4, 3], [v = -1, u = 3^(1/2), And(0 < x,x <
1), y = -x, 0 < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[4, 15, 11, 5, 1], [v = -1, 3^(1/2) <
u, u^2-2 < x, And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [3,
3], [8, 8], [-9/2, -9/2], [0, 0]]]], [[5, 5, 3, 7, 1], [And(-1 < v,v < 0), And
(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [-2521309/2097152, -2521309/2097152], [948445/1048576, 
948445/1048576], [-2, -2]]]], [[5, 5, 3, 7, 2], [And(-1 < v,v < 0), And(-(v^2+
1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [-2521309/2097152, -2521309/2097152], [948445/1048576, 948445/
1048576], [-1144335/2097152, -572167/1048576]]]], [[5, 5, 3, 7, 3], [And(-1 <
v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v
^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -\
2521309/2097152], [948445/1048576, 948445/1048576], [0, 0]]]], [[5, 5, 3, 7, 4
], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -\
1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152
], [948445/1048576, 948445/1048576], [572167/1048576, 71521/131072]]]], [[5, 5
, 3, 7, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1
< x,x < -1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -\
2521309/2097152], [948445/1048576, 948445/1048576], [2, 2]]]], [[5, 6, 7, 2, 1
], [And(-1 < v,v < 0), u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-1/2
, -1/2], [-1/2, -1/2], [2, 2], [-3, -3], [-2, -2]]]], [[5, 6, 7, 2, 2], [And(-\
1 < v,v < 0), u = v, 1 < x, y = -1-x, z = -1], [regular_chain, [[-1/2, -1/2],
[-1/2, -1/2], [2, 2], [-3, -3], [-1, -1]]]], [[5, 6, 7, 2, 3], [And(-1 < v,v <
0), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2],
[-1/2, -1/2], [2, 2], [-3, -3], [0, 0]]]], [[5, 6, 7, 2, 4], [And(-1 < v,v < 0
), u = v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2]
, [2, 2], [-3, -3], [1, 1]]]], [[5, 6, 7, 2, 5], [And(-1 < v,v < 0), u = v, 1
< x, y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-\
3, -3], [2, 2]]]], [[5, 9, 4, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1
)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z < -(1-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [424157/2097152, 
424157/2097152], [-2, -2]]]], [[5, 9, 4, 5, 2], [And(-1 < v,v < 0), And(-v < u
,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z = -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [
424157/2097152, 424157/2097152], [-7492423/8388608, -3746211/4194304]]]], [[5,
9, 4, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(0
< y,y < u^2-v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [424157/2097152, 
424157/2097152], [-3/8388608, -3/8388608]]]], [[5, 9, 4, 5, 4], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1, -1], [424157/2097152, 424157/2097152], [117069/131072, 936553/1048576]]]],
[[5, 9, 4, 5, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, 
And(0 < y,y < u^2-v^2), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [424157/2097152, 424157/2097152],
[2, 2]]]], [[5, 10, 8, 2, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, y
= -3, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [1, 1], [-3, -3], [-3, -3]]]], [[5, 10, 8, 2, 2], [And(-1 < v,v < 0),
u = (v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1172343/1048576, 146543/131072], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[5, 10, 8, 2, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x
= 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [
1172343/1048576, 146543/131072], [1, 1], [-3, -3], [0, 0]]]], [[5, 10, 8, 2, 4
], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [-3, -\
3], [741455/524288, 1482911/1048576]]]], [[5, 10, 8, 2, 5], [And(-1 < v,v < 0)
, u = (v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [1172343/1048576, 146543/131072], [1, 1], [-3, -3], [3, 3]]]], [[6, 1, 9, 6
, 1], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y = 0, z = z], [
regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [0, 0], [0, 0]]]], [[6, 3, 2, 7,
1], [v = 0, And(-2^(1/2) < u,u < -1), x = -u^2-1, 2*u^2 < y, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-2576463/
1048576, -1288231/524288], [4, 4], [0, 0]]]], [[6, 9, 4, 6, 1], [v = 0, And(1
< u,u < 2^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[6, 9, 4, 6, 2], [v
= 0, And(1 < u,u < 2^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[6, 9, 4, 6,
3], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[0
, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[6, 10
, 6, 5, 1], [v = 0, u = 2^(1/2), x = 0, And(0 < y,y < 1), z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2],
[0, 0]]]], [[7, 3, 7, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576,
243021/1048576], [2, 2], [0, 0]]]], [[7, 5, 3, 1, 1], [And(0 < v,v < 1), And(-
(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-2521309/2097152, -2521309/2097152], [-2, -2], [-3, -3]]]], [[7, 5,
3, 1, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 <
x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
2, -2], [-7505641/4194304, -938205/524288]]]], [[7, 5, 3, 1, 3], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2
-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [
-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-2
, -2], [0, 0]]]], [[7, 5, 3, 1, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-2, -2], [938205/524288, 1876411/1048576]]]], [[7
, 5, 3, 1, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2
-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/
2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152]
, [-2, -2], [3, 3]]]], [[8, 1, 8, 9, 1], [v = 1, u < -3^(1/2), x = 1, u^2-3 <
y, z = z], [regular_chain, [[1, 1], [-3, -3], [1, 1], [7, 7], [0, 0]]]], [[8,
3, 2, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(u^2 < y,y <
2*u^2-2), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304
], [-2594959/1048576, -1297479/524288], [5687723/2097152, 5687723/2097152], [0
, 0]]]], [[8, 7, 8, 6, 1], [v = 1, And(-1 < u,u < 0), x = 0, y = 0, z < 0], [
regular_chain, [[1, 1], [-1/2, -1/2], [0, 0], [0, 0], [-1, -1]]]], [[8, 7, 8,
6, 2], [v = 1, And(-1 < u,u < 0), x = 0, y = 0, z = 0], [regular_chain, [[1, 1
], [-1/2, -1/2], [0, 0], [0, 0], [0, 0]]]], [[8, 7, 8, 6, 3], [v = 1, And(-1 <
u,u < 0), x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [-1/2, -1/2], [0, 0],
[0, 0], [1, 1]]]], [[8, 9, 4, 2, 1], [v = 1, And(0 < u,u < 1), x = -1, y = u^2
-1, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-3/4
, -3/4], [-3, -3]]]], [[8, 9, 4, 2, 2], [v = 1, And(0 < u,u < 1), x = -1, y =
u^2-1, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-\
3/4, -3/4], [-10837/8192, -1387135/1048576]]]], [[8, 9, 4, 2, 3], [v = 1, And(
0 < u,u < 1), x = -1, y = u^2-1, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))],
[regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-3/4, -3/4], [0, 0]]]], [[8, 9
, 4, 2, 4], [v = 1, And(0 < u,u < 1), x = -1, y = u^2-1, z = (-u^2+2)^(1/2)],
[regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-3/4, -3/4], [1387135/1048576,
10837/8192]]]], [[8, 9, 4, 2, 5], [v = 1, And(0 < u,u < 1), x = -1, y = u^2-1,
(-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-3/4, -3/
4], [3, 3]]]], [[8, 15, 3, 8, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), y
= u^2-x-2, z = z], [regular_chain, [[1, 1], [3, 3], [-5, -5], [12, 12], [0, 0]
]]], [[9, 1, 6, 2, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, y =
-u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [0, 0], [-4478937/524288, -8957873/1048576], [-4,
-4]]]], [[9, 1, 6, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0,
y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [0, 0], [-4478937/524288, -8957873/1048576], [-\
1532401/524288, -24518415/8388608]]]], [[9, 1, 6, 2, 3], [And(1 < v,v < 2^(1/2
)), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [0, 0], [-4478937/524288, -8957873/1048576], [-7/16777216, -7/16777216]]]
], [[9, 1, 6, 2, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = 0, y = -
u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [0, 0], [-4478937/524288, -8957873/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 1, 6, 2, 5], [And(1 < v,v < 2^(1/2)), u < -(
v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3, -3], [0, 0], [-4478937/524288, -\
8957873/1048576], [4, 4]]]], [[9, 5, 8, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x = 0, 0 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [0, 0], [1, 1
], [0, 0]]]], [[9, 7, 5, 8, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-\
1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [749473/1048576, 374737/524288], [-1, -1]]
]], [[9, 7, 5, 8, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
And(-1 < x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [749473/1048576, 374737/524288], [0, 0]]]], [[9, 7, 5, 8, 3]
, [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2
+v^2-1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [
749473/1048576, 374737/524288], [1, 1]]]], [[9, 9, 8, 2, 1], [And(1 < v,v < 2^
(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2
*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-6111547/2097152, -\
24446187/8388608], [-3, -3]]]], [[9, 9, 8, 2, 2], [And(1 < v,v < 2^(1/2)), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [239655/524288, 479311/1048576], [-6111547/2097152, -24446187/8388608], [-\
410915/262144, -3287319/2097152]]]], [[9, 9, 8, 2, 3], [And(1 < v,v < 2^(1/2))
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-\
6111547/2097152, -24446187/8388608], [-1/4194304, -1/4194304]]]], [[9, 9, 8, 2
, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-\
6111547/2097152, -24446187/8388608], [1643659/1048576, 410915/262144]]]], [[9,
9, 8, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [
-6111547/2097152, -24446187/8388608], [3, 3]]]], [[9, 11, 3, 7, 1], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(-u
^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [2244985/2097152, 2244985/2097152], [-2, -2]]]], [[9, 11, 3,
7, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 <
x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
5390713/4194304, -5390713/4194304], [2244985/2097152, 2244985/2097152], [-\
485927/1048576, -242963/524288]]]], [[9, 11, 3, 7, 3], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/
4194304, -5390713/4194304], [2244985/2097152, 2244985/2097152], [0, 0]]]], [[9
, 11, 3, 7, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [2244985/2097152, 2244985/
2097152], [242963/524288, 485927/1048576]]]], [[9, 11, 3, 7, 5], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(-u^2+
v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [2244985/2097152, 2244985/2097152], [2, 2]]]], [[9, 15, 9, 8
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u
^2-v^2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [898327/524288, 898327/524288], [775271/1048576, 775271/1048576], [
0, 0], [0, 0]]]], [[9, 17, 3, 4, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [0, 0], [-4, -4]]]], [[9, 17, 3, 4, 2], [And(1 < v,v < 2^(1/2)), (v^
2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [0, 0], [-286309/131072, -2290471/1048576]]]], [[9, 17,
3, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -\
1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [0,
0], [0, 0]]]], [[9, 17, 3, 4, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u,
And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [0,
0], [2290471/1048576, 286309/131072]]]], [[9, 17, 3, 4, 5], [And(1 < v,v < 2^(
1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [0, 0], [4, 4]]]], [[10, 5, 8, 3, 1], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), x = 0, And(-u^2+1 < y,y < u^2-3), z < -(-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1, -1], [-2, -2]]]], [[10, 5, 8, 3, 2], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x = 0, And(-u^2+1 < y,y < u^2-3), z = -(-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1, -1], [-1, -1]]]], [[10, 5, 8, 3, 3], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), x = 0, And(-u^2+1 < y,y < u^2-3), And(-(-y)^(1/2
) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1, -1], [0, 0]]]], [[10, 5, 8, 3
, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, And(-u^2+1 < y,y < u^2-3)
, z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1, -1], [1, 1]]]], [[10, 5, 8, 3
, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, And(-u^2+1 < y,y < u^2-3)
, (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1, -1], [2, 2]]]], [[10, 7, 5, 4
, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y = 0, z < -(-
x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [-2,
-2]]]], [[10, 7, 5, 4, 2], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u
^2+1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [0, 0], [-3580063/4194304, -1790031/2097152]]]], [[10, 7, 5, 4, 3],
[v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y = 0, And(-(-x)^(1/
2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [0,
0], [-1/4194304, -1/4194304]]]], [[10, 7, 5, 4, 4], [v = 2^(1/2), And(-v < u,u
< -1), And(-1 < x,x < -u^2+1), y = 0, z = (-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [0, 0], [895015/1048576, 111877/131072]]]]
, [[10, 7, 5, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1),
y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [0,
0], [2, 2]]]], [[10, 11, 7, 9, 1], [v = 2^(1/2), And(0 < u,u < 1), And(0 < x,x
< -u^2+1), -u^2-x+1 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/8, 3/8], [2, 2], [0, 0]]]], [[10, 13, 3, 5, 1], [v =
2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), z <
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [853897/
2097152, 853897/2097152], [-2, -2]]]], [[10, 13, 3, 5, 2], [v = 2^(1/2), And(1
< u,u < v), And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [-2666417/2097152, -2666417/2097152], [853897/2097152, 853897/
2097152], [-7798595/8388608, -3899297/4194304]]]], [[10, 13, 3, 5, 3], [v = 2^
(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [853897/2097152, 853897/2097152], [-1/8388608, -1/8388608]]]], [[10,
13, 3, 5, 4], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(0 < y
,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [853897/2097152, 853897/2097152], [121853/131072, 974825/1048576]]]]
, [[10, 13, 3, 5, 5], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), 
And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [853897/2097152, 853897/2097152], [2, 2]]]], [[11, 3, 5, 6,
1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 3, 5, 6, 2], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -x, z =
0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2
], [1/2, 1/2], [0, 0]]]], [[11, 3, 5, 6, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[
3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]
]], [[11, 5, 1, 2, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+
v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [-3, -3], [0, 0], [-3, -3]]]], [[11, 5, 1, 2, 2], [2^(1/2) < v
, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [0, 0], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 5, 1, 2, 3], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3, -3],
[0, 0], [-1/4194304, -1/4194304]]]], [[11, 5, 1, 2, 4], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [-3, -3], [0, 0], [908093/524288,
1816187/1048576]]]], [[11, 5, 1, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-3, -3], [0, 0], [3, 3]]]], [[11, 9, 7, 5, 1]
, [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2
+v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [-266517/
2097152, -266517/2097152], [0, 0]]]], [[11, 11, 1, 1, 1], [2^(1/2) < v, And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [0, 0], [-11, -11], [-1, -1], [-5, -5]]]], [[11, 11,
1, 1, 2], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2
-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [0, 0], [-11, -11], [-\
1, -1], [-1816187/524288, -3632373/1048576]]]], [[11, 11, 1, 1, 3], [2^(1/2) <
v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [0, 0], [-11, -11], [
-1, -1], [0, 0]]]], [[11, 11, 1, 1, 4], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3
, 3], [0, 0], [-11, -11], [-1, -1], [3632373/1048576, 1816187/524288]]]], [[11
, 11, 1, 1, 5], [2^(1/2) < v, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u
^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [0, 0], [-11, -11
], [-1, -1], [5, 5]]]], [[11, 16, 7, 3, 1], [2^(1/2) < v, u = v, 1 < x, And(-1
-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [2, 2], [
-5/2, -5/2], [-2, -2]]]], [[11, 16, 7, 3, 2], [2^(1/2) < v, u = v, 1 < x, And(
-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [2, 2],
[-5/2, -5/2], [-1482911/2097152, -741455/1048576]]]], [[11, 16, 7, 3, 3], [2^(
1/2) < v, u = v, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[3, 3], [3, 3], [2, 2], [-5/2, -5/2], [0, 0]]]], [[
11, 16, 7, 3, 4], [2^(1/2) < v, u = v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)
^(1/2)], [regular_chain, [[3, 3], [3, 3], [2, 2], [-5/2, -5/2], [741455/
1048576, 46341/65536]]]], [[11, 16, 7, 3, 5], [2^(1/2) < v, u = v, 1 < x, And(
-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [2, 2],
[-5/2, -5/2], [2, 2]]]], [[11, 18, 3, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]],
[[11, 18, 3, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/
4194304]]]], [[11, 18, 3, 5, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x
< -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3/4, 3
/4], [-1/8388608, -1/8388608]]]], [[11, 18, 3, 5, 4], [2^(1/2) < v, u = (v^2+1
)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3/4, 3
/4], [908093/1048576, 454047/524288]]]], [[11, 18, 3, 5, 5], [2^(1/2) < v, u =
(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3/4, 3
/4], [2, 2]]]], [[1, 1, 10, 7, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), x = u^2-
v^2-1, 0 < y, z = z], [regular_chain, [[-3, -3], [-5, -5], [15, 15], [1, 1], [
0, 0]]]], [[1, 3, 4, 5, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3
], [-3396811/1048576, -3396811/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[
1, 3, 4, 5, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
-1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[1, 3, 4, 5, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1/
2, 1/2], [0, 0]]]], [[1, 3, 4, 5, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1/2, 1/2], [741455
/1048576, 46341/65536]]]], [[1, 3, 4, 5, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-1, -1], [1/2
, 1/2], [2, 2]]]], [[1, 7, 10, 8, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [0, 0], [0, 0]]]], [[1, 9, 6, 2, 1], [v < -2^(1/2),
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608
], [0, 0], [-657547/262144, -5260375/2097152], [-3, -3]]]], [[1, 9, 6, 2, 2],
[v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = u^2-v^2-\
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [0, 0], [-657547/262144, -5260375/2097152], [-3321417/
2097152, -415177/262144]]]], [[1, 9, 6, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,
z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [0, 0], [-657547/262144, -5260375/2097152], [0, 0]]]], [[1,
9, 6, 2, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0,
y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [0, 0], [-657547/262144, -5260375/2097152], [
415177/262144, 1660709/1048576]]]], [[1, 9, 6, 2, 5], [v < -2^(1/2), And(-(v^2
-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0],
[-657547/262144, -5260375/2097152], [3, 3]]]], [[1, 15, 2, 1, 1], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1
/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161
/2097152, -395145/262144], [-1, -1], [-3, -3]]]], [[1, 15, 2, 1, 2], [v < -2^(
1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)
^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-1, -1], [-1660383/1048576, -3320765/
2097152]]]], [[1, 15, 2, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [-1, -1], [-1/4194304, -1/4194304]]]], [[1, 15, 2, 1
, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < 0, z =
(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [-1, -1], [830191/524288, 
1660383/1048576]]]], [[1, 15, 2, 1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [
-1, -1], [3, 3]]]], [[1, 16, 5, 7, 1], [v < -2^(1/2), u = -v, And(0 < x,x < 1)
, 0 < y, z = z], [regular_chain, [[-3, -3], [3, 3], [1/2, 1/2], [1, 1], [0, 0]
]]], [[1, 21, 1, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, u^2-
v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [5, 5], [-18, -18], [34, 34],
[0, 0]]]], [[2, 1, 4, 5, 1], [v = -2^(1/2), u < -2, x = -1, And(0 < y,y < 1),
z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -\
3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 1, 4, 5, 2], [v = -2^(1/2), u < -2
, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[2, 1, 4, 5, 3], [v = -2^(1/2), u < -2, x = -1, And(0 < y
,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[2, 1, 4
, 5, 4], [v = -2^(1/2), u < -2, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[2, 1, 4, 5, 5], [v = -2^(1/2), u < -\
2, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 10,
8, 5, 1], [v = -2^(1/2), u = 0, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [-1/2, -1/
2], [0, 0]]]], [[2, 12, 2, 3, 1], [v = -2^(1/2), u = 1, x = -2, And(0 < y,y <
2), z < -(2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1
, 1], [-2, -2], [1, 1], [-2, -2]]]], [[2, 12, 2, 3, 2], [v = -2^(1/2), u = 1,
x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-2, -2], [1, 1], [-1, -1]]]], [[2, 12, 2, 3
, 3], [v = -2^(1/2), u = 1, x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z <
(2-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-\
2, -2], [1, 1], [0, 0]]]], [[2, 12, 2, 3, 4], [v = -2^(1/2), u = 1, x = -2, 
And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-2, -2], [1, 1], [1, 1]]]], [[2, 12, 2, 3, 5], [v = -
2^(1/2), u = 1, x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [1, 1], [2, 2]]]], [[2, 
17, 1, 4, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = -u^2-x+1,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [-4, -4], [397921/262144, 1591685/1048576],
[-3, -3]]]], [[2, 17, 1, 4, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [397921/262144,
1591685/1048576], [-825991/524288, -3303963/2097152]]]], [[2, 17, 1, 4, 3], [v
= -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = -u^2-x+1, And(-(u^2-1)^(1/
2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [3913339/2097152, 3913339/2097152], [-4, -4], [397921/262144, 1591685/
1048576], [-1/4194304, -1/4194304]]]], [[2, 17, 1, 4, 4], [v = -2^(1/2), And(3
^(1/2) < u,u < 2), x < -u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [-4, -4], [397921/262144, 1591685/1048576], [1651981/1048576, 825991
/524288]]]], [[2, 17, 1, 4, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [397921/262144,
1591685/1048576], [3, 3]]]], [[2, 18, 3, 9, 1], [v = -2^(1/2), u = 2, And(-3 <
x,x < -1), 1-x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [-2, -2], [4, 4], [0, 0]]]], [[3, 4, 8, 4, 1], [And(-2^(1/2) < v,v
< -1), u = -(v^2+1)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [-1, -\
1], [-1, -1]]]], [[3, 4, 8, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/
2), x = 1, y = -1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [1, 1], [-1, -1], [0, 0]]]], [[3
, 4, 8, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = 1, y = -1, 0
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144,
-3287319/2097152], [1, 1], [-1, -1], [1, 1]]]], [[3, 6, 2, 4, 1], [And(-2^(1/2
) < v,v < -1), u = v, x = -1, y = 1, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [1
, 1], [-1, -1]]]], [[3, 6, 2, 4, 2], [And(-2^(1/2) < v,v < -1), u = v, x = -1,
y = 1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[3, 6, 2, 4,
3], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y = 1, 0 < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-\
1, -1], [1, 1], [1, 1]]]], [[3, 11, 1, 5, 1], [And(-2^(1/2) < v,v < -1), And((
v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[3, 11, 1, 5,
2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, 
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3]
, [2, 2], [-1, -1]]]], [[3, 11, 1, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [2, 2], [0, 0]]
]], [[3, 11, 1, 5, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v
), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [-3, -3], [2, 2], [1, 1]]]], [[3, 11, 1, 5, 5], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -
u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [-3, -3], [2, 2], [2, 2]]]], [[3,
12, 5, 2, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -1-x, z
< -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576
, 1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[3, 12, 5, 2, 2],
[And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -1-x, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[3, 12, 5, 2, 3], [
And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -1-x, And(-1 < z,z < 1
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[3, 12, 5, 2, 4], [And
(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -1-x, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[3, 12, 5, 2, 5], [And
(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[3, 14, 9, 6, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, y = 0, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915/262144], [2,
2], [0, 0], [0, 0]]]], [[3, 16, 3, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[0, 0], [-3, -3]]]], [[3, 16, 3, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [-2, -2],
[0, 0], [-1482911/1048576, -741455/524288]]]], [[3, 16, 3, 4, 3], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [-2, -2], [0, 0], [0, 0]]]], [[3, 16, 3, 4, 4]
, [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z =
(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]]
, [[3, 16, 3, 4, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,
x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [0, 0], [3, 3]]]], [[4, 3
, 3, 9, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-u^2 < x,x < -1), u^2
-x-2 < y, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1821767/1048576, -1821767/1048576], [4, 4], [0, 0]]]], [[4, 4, 8,
1, 1], [v = -1, u = -2^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [-4, -4]
, [-3, -3]]]], [[4, 4, 8, 1, 2], [v = -1, u = -2^(1/2), x = 1, y < -3, z = -(-
y-1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1
, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[4, 4, 8, 1, 3], [v
= -1, u = -2^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [-4, -4]
, [-1/4194304, -1/4194304]]]], [[4, 4, 8, 1, 4], [v = -1, u = -2^(1/2), x = 1,
y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -\
741455/524288], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[4, 4,
8, 1, 5], [v = -1, u = -2^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288], [1, 1], [-4, -4]
, [3, 3]]]], [[4, 11, 2, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, And
(2*u^2-2 < y,y < u^2), z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/524288], [621627
/524288, 621627/524288], [-2, -2]]]], [[4, 11, 2, 5, 2], [v = -1, And(1 < u,u
< 2^(1/2)), x = -u^2, And(2*u^2-2 < y,y < u^2), z = -(u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [621627/524288, 621627/524288], [-1092629/2097152, -\
273157/524288]]]], [[4, 11, 2, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^
2, And(2*u^2-2 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [621627/524288, 621627/524288], [0, 0]]]], [[4, 11,
2, 5, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, And(2*u^2-2 < y,y < u^2),
z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1527887/1048576, -763943/524288], [621627/524288, 621627/524288],
[273157/524288, 546315/1048576]]]], [[4, 11, 2, 5, 5], [v = -1, And(1 < u,u <
2^(1/2)), x = -u^2, And(2*u^2-2 < y,y < u^2), (u^2-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [621627/524288, 621627/524288], [2, 2]]]], [[4, 12,
6, 2, 1], [v = -1, u = 2^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain,
[[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[
4, 12, 6, 2, 2], [v = -1, u = 2^(1/2), x = 0, y = -2, z = -2^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [-2, -2],
[-1482911/1048576, -741455/524288]]]], [[4, 12, 6, 2, 3], [v = -1, u = 2^(1/2)
, x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [0, 0], [-2, -2], [0, 0]]]], [[4, 12, 6, 2, 4
], [v = -1, u = 2^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[-1, -1
], [741455/524288, 1482911/1048576], [0, 0], [-2, -2], [741455/524288, 1482911
/1048576]]]], [[4, 12, 6, 2, 5], [v = -1, u = 2^(1/2), x = 0, y = -2, 2^(1/2)
< z], [regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [-2
, -2], [3, 3]]]], [[5, 1, 7, 6, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), 
And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2
, 1/2], [0, 0], [0, 0]]]], [[5, 3, 1, 2, 1], [And(-1 < v,v < 0), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [0,
0], [-3, -3]]]], [[5, 3, 1, 2, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [0, 0], [-2, -2]]]]
, [[5, 3, 1, 2, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [0,
0], [0, 0]]]], [[5, 3, 1, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [0, 0], [2, 2]]]], [[5
, 3, 1, 2, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-4, -4], [0, 0], [3, 3]]]], [[5, 12, 9, 2, 1]
, [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-5, -5], [-3, -3]]]], [[5,
12, 9, 2, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z = -3^(
1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[5, 12, 9, 2, 3], [And(-1 < v,v < 0), u = (v^2
+2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[
-1/2, -1/2], [3/2, 3/2], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[5, 
12, 9, 2, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y = -x-3, z = 3^(1
/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-5, -5], [908093/
524288, 1816187/1048576]]]], [[5, 12, 9, 2, 5], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [2, 2], [-5, -5], [3, 3]]]], [[6, 1, 2, 5, 1], [v = 0, u < -2^(1/2), x =
-u^2-1, And(u^2+1 < y,y < 2*u^2), z = z], [regular_chain, [[0, 0], [-3, -3], [
-10, -10], [14, 14], [0, 0]]]], [[6, 5, 5, 1, 1], [v = 0, And(-1 < u,u < 0), 
And(-1 < x,x < u^2-1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-1/2, -1/2], [-7/8, -7/8], [-2, -2], [-3, -3]]]], [[6, 5, 5, 1, 2], [v =
0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y < -u^2-x-1, z = -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-2, -2], [-3555895/
2097152, -1777947/1048576]]]], [[6, 5, 5, 1, 3], [v = 0, And(-1 < u,u < 0), 
And(-1 < x,x < u^2-1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-2, -2], [0, 0]]]], [[6,
5, 5, 1, 4], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y < -u^2-x-1, z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-2, -2]
, [1777947/1048576, 444487/262144]]]], [[6, 5, 5, 1, 5], [v = 0, And(-1 < u,u
< 0), And(-1 < x,x < u^2-1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-2, -2], [3, 3]]]], [[6, 7, 2, 2, 1], [v
= 0, And(0 < u,u < 1), x = -u^2-1, y = 0, z < -(u^2+1)^(1/2)], [regular_chain,
[[0, 0], [1/2, 1/2], [-5/4, -5/4], [0, 0], [-3, -3]]]], [[6, 7, 2, 2, 2], [v =
0, And(0 < u,u < 1), x = -u^2-1, y = 0, z = -(u^2+1)^(1/2)], [regular_chain, [
[0, 0], [1/2, 1/2], [-5/4, -5/4], [0, 0], [-146543/131072, -1172343/1048576]]]
], [[6, 7, 2, 2, 3], [v = 0, And(0 < u,u < 1), x = -u^2-1, y = 0, And(-(u^2+1)
^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5
/4], [0, 0], [0, 0]]]], [[6, 7, 2, 2, 4], [v = 0, And(0 < u,u < 1), x = -u^2-1
, y = 0, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4]
, [0, 0], [1172343/1048576, 146543/131072]]]], [[6, 7, 2, 2, 5], [v = 0, And(0
< u,u < 1), x = -u^2-1, y = 0, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [1
/2, 1/2], [-5/4, -5/4], [0, 0], [3, 3]]]], [[7, 1, 7, 3, 1], [And(0 < v,v < 1)
, u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-43/8, -43/8],
[-4, -4]]]], [[7, 1, 7, 3, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [-3, -3], [1/2, 1/2], [-43/8, -43/8], [-1157597/524288, -2315193/
1048576]]]], [[7, 1, 7, 3, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 <
x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-43/8, -43/8], [0, 0]]
]], [[7, 1, 7, 3, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1),
And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3, -3], [1/2, 1/2], [-43/8, -43/8], [2315193/1048576, 1157597/524288]]]], [[
7, 1, 7, 3, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-
u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3,
-3], [1/2, 1/2], [-43/8, -43/8], [4, 4]]]], [[7, 2, 9, 8, 1], [And(0 < v,v < 1
), u = -(v^2+2)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [2, 2], [0, 0], [0, 0]]]], [[7, 7, 6, 7, 1], [And(0 < v,v < 1), And(
-v < u,u < v), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[1/2, 1
/2], [0, 0], [-3/4, -3/4], [2, 2], [0, 0]]]], [[7, 9, 4, 1, 1], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-2,
-2], [-3, -3]]]], [[7, 9, 4, 1, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(
1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[7, 9, 4, 1, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-2,
-2], [-1/4194304, -1/4194304]]]], [[7, 9, 4, 1, 4], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-2, -2], [908093/
524288, 1816187/1048576]]]], [[7, 9, 4, 1, 5], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[1/
2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[
7, 11, 6, 3, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [0, 0], [-1291597/1048576, -1291597/1048576
], [-3, -3]]]], [[7, 11, 6, 3, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [-1291597/
1048576, -1291597/1048576], [-1163761/1048576, -72735/65536]]]], [[7, 11, 6, 3
, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(
-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [
[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [-1291597/1048576, -\
1291597/1048576], [0, 0]]]], [[7, 11, 6, 3, 4], [And(0 < v,v < 1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2
)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [-\
1291597/1048576, -1291597/1048576], [72735/65536, 1163761/1048576]]]], [[7, 11
, 6, 3, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0
, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [0, 0], [-1291597/1048576, -1291597/1048576], [
3, 3]]]], [[7, 12, 8, 4, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, y =
-1, z < 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-1, -1], [-1, -1
]]]], [[7, 12, 8, 4, 2], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, y = -1,
z = 0], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-1, -1], [0, 0]]]],
[[7, 12, 8, 4, 3], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, y = -1, 0 < z]
, [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-1, -1], [1, 1]]]], [[8, 3
, 9, 8, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), y =
0, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
1546383/2097152, 1546383/2097152], [0, 0], [0, 0]]]], [[8, 5, 4, 7, 1], [v = 1
, And(-2^(1/2) < u,u < -1), x = -1, And(u^2-1 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
1527887/2097152, 1527887/2097152], [-2, -2]]]], [[8, 5, 4, 7, 2], [v = 1, And(
-2^(1/2) < u,u < -1), x = -1, And(u^2-1 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
1527887/2097152, 1527887/2097152], [-273157/524288, -1092627/2097152]]]], [[8,
5, 4, 7, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, And(u^2-1 < y,y < 1), 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1527887/2097152, 1527887/2097152], [-1/
4194304, -1/4194304]]]], [[8, 5, 4, 7, 4], [v = 1, And(-2^(1/2) < u,u < -1), x
= -1, And(u^2-1 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1527887/2097152, 1527887/
2097152], [546313/1048576, 273157/524288]]]], [[8, 5, 4, 7, 5], [v = 1, And(-2
^(1/2) < u,u < -1), x = -1, And(u^2-1 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
1527887/2097152, 1527887/2097152], [2, 2]]]], [[8, 11, 8, 2, 1], [v = 1, And(1
< u,u < 2^(1/2)), x = 0, y = -u^2, z < -u], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [0, 0], [-1527887/1048576, -763943/524288], [-3, -3
]]]], [[8, 11, 8, 2, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y = -u^2, z =
-u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-\
1527887/1048576, -763943/524288], [-1265743/1048576, -1265743/1048576]]]], [[8
, 11, 8, 2, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, y = -u^2, And(-u < z,z
< u)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-\
1527887/1048576, -763943/524288], [0, 0]]]], [[8, 11, 8, 2, 4], [v = 1, And(1
< u,u < 2^(1/2)), x = 0, y = -u^2, z = u], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [0, 0], [-1527887/1048576, -763943/524288], [
1265743/1048576, 1265743/1048576]]]], [[8, 11, 8, 2, 5], [v = 1, And(1 < u,u <
2^(1/2)), x = 0, y = -u^2, u < z], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [0, 0], [-1527887/1048576, -763943/524288], [3, 3]]]], [[8,
13, 3, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(
-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-773191/
2097152, -773191/2097152], [-3, -3]]]], [[8, 13, 3, 3, 2], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/
2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [-773191/2097152, -773191/2097152], [-760861/
524288, -1521721/1048576]]]], [[8, 13, 3, 3, 3], [v = 1, And(2^(1/2) < u,u < 3
^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[-3643533/2097152, -3643533/2097152], [-773191/2097152, -773191/2097152], [0,
0]]]], [[8, 13, 3, 3, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x
< -1), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
773191/2097152, -773191/2097152], [1521721/1048576, 760861/524288]]]], [[8, 13
, 3, 3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(-u
^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [-3643533/2097152, -3643533/2097152], [-773191/2097152, -\
773191/2097152], [3, 3]]]], [[9, 2, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v
^2+2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [3/2, 3/2], [-3, -3]]]], [[9, 2, 2, 3, 2], [And(1 < v,v < 2^(1/2)), u = -
(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[9, 2, 2, 3, 3], [And
(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^
(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [3/2, 3/2], [0, 0]]]
], [[9, 2, 2, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, And(
0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [3/2, 3/2], [642119/
524288, 1284239/1048576]]]], [[9, 2, 2, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(
v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [3/2, 3/2], [3, 3]]]], [[9, 3, 6, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0,
0], [0, 0], [-1, -1]]]], [[9, 3, 6, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0,
0], [0, 0], [0, 0]]]], [[9, 3, 6, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0,
0], [0, 0], [1, 1]]]], [[9, 13, 7, 6, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-139585/524288, -139585/524288], [0, 0], [-2, -2]]]], [[9, 13, 7, 6
, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x
,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585/524288]
, [0, 0], [-1082093/2097152, -270523/524288]]]], [[9, 13, 7, 6, 3], [And(1 < v
,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [0, 0], [0, 0]]]], [[9, 13, 7, 6, 4], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-139585/524288, -139585/524288], [0, 0], [270523/524288, 541047/
1048576]]]], [[9, 13, 7, 6, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [0, 0], [2, 2]]]], [[9, 15, 2, 5, 1], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(
u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/
1048576], [712525/262144, 712525/262144], [0, 0]]]], [[10, 2, 1, 7, 1], [v = 2
^(1/2), u = -2, x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-4, -4], [9/2, 9/2], [0, 0]]]], [[10, 3,
5, 8, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), y = u^2-x
-3, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-1/2, -1/2], [1029755/1048576, 257439/262144], [0
, 0]]]], [[10, 9, 7, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0 < x,x < -u^
2+1), And(0 < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [3/16, 3/16], [0, 0]]]], [[10, 10,
9, 8, 1], [v = 2^(1/2), u = 0, 1 < x, y = 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[10, 15, 7, 6, 1
], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = 0, z < -(-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-275385/1048576, -275385/1048576], [0, 0], [-2, -2]]]], [[
10, 15, 7, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [0, 0],
[-268683/524288, -1074731/2097152]]]], [[10, 15, 7, 6, 3], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-275385/1048576, -275385/1048576], [0, 0], [-1/4194304, -1/
4194304]]]], [[10, 15, 7, 6, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2
-3 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576, -\
275385/1048576], [0, 0], [537365/1048576, 268683/524288]]]], [[10, 15, 7, 6, 5
], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), y = 0, (-x)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-275385/1048576, -275385/1048576], [0, 0], [2, 2]]]], [[10,
17, 2, 5, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, And(u^2-1 < y,
y < 2*u^2-4), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [
3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/1048576], [
2855353/1048576, 2855353/1048576], [0, 0]]]], [[10, 19, 3, 4, 1], [v = 2^(1/2)
, 2 < u, And(-u^2+1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [0, 0], [-4, -4]]]], [[
10, 19, 3, 4, 2], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = 0, z = -(-x
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9
/2], [0, 0], [-1112183/524288, -2224365/1048576]]]], [[10, 19, 3, 4, 3], [v =
2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2]
, [0, 0], [0, 0]]]], [[10, 19, 3, 4, 4], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-9/2, -9/2], [0, 0], [2224365/1048576, 1112183/524288]]]],
[[10, 19, 3, 4, 5], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), y = 0, (-x)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -\
9/2], [0, 0], [4, 4]]]], [[11, 1, 5, 3, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-33/4, -33/4], [-4, -4]]]], [
[11, 1, 5, 3, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^
2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [
-1/2, -1/2], [-33/4, -33/4], [-49627675/16777216, -24813837/8388608]]]], [[11,
1, 5, 3, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2
-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3
, 3], [-5, -5], [-1/2, -1/2], [-33/4, -33/4], [-5/16777216, -5/16777216]]]], [
[11, 1, 5, 3, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^
2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-\
1/2, -1/2], [-33/4, -33/4], [3101729/1048576, 1550865/524288]]]], [[11, 1, 5,
3, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 <
y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2],
[-33/4, -33/4], [4, 4]]]], [[11, 5, 8, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2)
< u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-1, -1], [-\
2, -2]]]], [[11, 5, 8, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [0, 0], [-1, -1], [-1, -1]]]], [[11, 5,
8, 3, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1
< y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [0, 0], [-1, -1], [0, 0]]]], [[11, 5, 8,
3, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y
,y < u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [0, 0], [-1, -1], [1, 1]]]], [[11, 5, 8, 3, 5], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), (-y)
^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0]
, [-1, -1], [2, 2]]]], [[11, 7, 4, 9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1
)^(1/2)), x = -1, 1 < y, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-1, -1], [2, 2], [0, 0]]]], [[11, 13, 1, 5, 1], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-4, -4], [1439605/524288, 1439605/524288], [-3, -3]]]], [[11
, 13, 1, 5, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^
2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-4, -4], [1439605/524288, 1439605/
524288], [-1174299/1048576, -587149/524288]]]], [[11, 13, 1, 5, 3], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [-4, -4], [1439605/524288, 1439605/524288],
[0, 0]]]], [[11, 13, 1, 5, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-4, -4], [1439605/
524288, 1439605/524288], [587149/524288, 1174299/1048576]]]], [[11, 13, 1, 5,
5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And
(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [-4, -4], [1439605/524288, 1439605/524288], [3, 3]]]
], [[11, 14, 4, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(-1 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/
1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[11, 14, 4, 3, 2], [2^(1/2) <
v, u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-1/2, -1/
2], [-1284239/1048576, -642119/524288]]]], [[11, 14, 4, 3, 3], [2^(1/2) < v, u
= (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-1
/2, -1/2], [0, 0]]]], [[11, 14, 4, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x =
-1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/
1048576]]]], [[11, 14, 4, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, And(
-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[11, 19, 3, 2, 1], [2^(1
/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-1566621/2097152
, -391655/524288], [-3, -3]]]], [[11, 19, 3, 2, 2], [2^(1/2) < v, And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-915943/524288, -915943/524288], [-1566621/2097152, -391655/524288]
, [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 3, 2, 3], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2
+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288],
[-1566621/2097152, -391655/524288], [-1/4194304, -1/4194304]]]], [[11, 19, 3,
2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-\
1566621/2097152, -391655/524288], [51749/32768, 1655969/1048576]]]], [[11, 19,
3, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [-\
1566621/2097152, -391655/524288], [3, 3]]]], [[11, 20, 5, 1, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-4,
-4], [-4, -4]]]], [[11, 20, 5, 1, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1
< x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/
1048576]]]], [[11, 20, 5, 1, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x
< 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[11
, 20, 5, 1, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3,
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[11, 20, 5, 1,
5], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2]
, [-4, -4], [4, 4]]]], [[1, 5, 6, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u
,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576,
-1062385/2097152], [66399/262144, 66399/262144], [-2, -2]]]], [[1, 5, 6, 5, 2]
, [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -
u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-531193/1048576, -1062385/2097152], [66399/262144, 
66399/262144], [-1055459/2097152, -527729/1048576]]]], [[1, 5, 6, 5, 3], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2
+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-531193/1048576, -1062385/
2097152], [66399/262144, 66399/262144], [0, 0]]]], [[1, 5, 6, 5, 4], [v < -2^(
1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1),
z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [-531193/1048576, -1062385/2097152], [66399/262144, 66399/262144], [
527729/1048576, 263865/524288]]]], [[1, 5, 6, 5, 5], [v < -2^(1/2), And(-(v^2+
1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^
(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
531193/1048576, -1062385/2097152], [66399/262144, 66399/262144], [2, 2]]]], [[
1, 7, 3, 8, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = -x, z < 0], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [657289/524288, 657289/
524288], [-1, -1]]]], [[1, 7, 3, 8, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [
657289/524288, 657289/524288], [0, 0]]]], [[1, 7, 3, 8, 3], [v < -2^(1/2), And
(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [657289/524288, 657289/524288], [1, 1]]]], [[1, 11, 6
, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, y =
0, z < 0], [regular_chain, [[-3, -3], [0, 0], [0, 0], [0, 0], [-1, -1]]]], [[1
, 11, 6, 4, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x =
0, y = 0, z = 0], [regular_chain, [[-3, -3], [0, 0], [0, 0], [0, 0], [0, 0]]]]
, [[1, 11, 6, 4, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = 0, y = 0, 0 < z], [regular_chain, [[-3, -3], [0, 0], [0, 0], [0, 0], [1, 1
]]]], [[1, 12, 9, 2, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y = -x-3, z
< -3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2],
[-5, -5], [-3, -3]]]], [[1, 12, 9, 2, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), 1
< x, y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[1, 
12, 9, 2, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2)
< z,z < 3^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [
2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[1, 12, 9, 2, 4], [v < -2^(1/2)
, u = (v^2-2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3],
[2774271/1048576, 10837/4096], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[1, 12, 9, 2, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y = -
x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [
2, 2], [-5, -5], [3, 3]]]], [[1, 19, 1, 4, 1], [v < -2^(1/2), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4]
, [1579107/1048576, 394777/262144], [-3, -3]]]], [[1, 19, 1, 4, 2], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-\
1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144], [-1655969/
1048576, -3311937/2097152]]]], [[1, 19, 1, 4, 3], [v < -2^(1/2), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144], [-1/
4194304, -1/4194304]]]], [[1, 19, 1, 4, 4], [v < -2^(1/2), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1579107/1048576, 394777/262144], [51749/32768, 1655969/1048576]]]], [[1, 19, 1
, 4, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2
-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144],
[3, 3]]]], [[1, 20, 3, 9, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x <
-1), 1-x < y, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-2, -2], [4, 4], [0, 0]]]], [[2, 3, 4, 7, 1], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), x = -1, And(1 < y,y < u^2-2), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -\
1], [2602619/2097152, 2602619/2097152], [0, 0]]]], [[2, 4, 9, 1, 1], [v = -2^(
1/2), u = -3^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2]
, [-5, -5], [-3, -3]]]], [[2, 4, 9, 1, 2], [v = -2^(1/2), u = -3^(1/2), 1 < x,
y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -5], [-1816187/
1048576, -3632373/2097152]]]], [[2, 4, 9, 1, 3], [v = -2^(1/2), u = -3^(1/2),
1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2]
, [-5, -5], [-1/4194304, -1/4194304]]]], [[2, 4, 9, 1, 4], [v = -2^(1/2), u =
-3^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -\
5], [908093/524288, 1816187/1048576]]]], [[2, 4, 9, 1, 5], [v = -2^(1/2), u =
-3^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -\
5], [3, 3]]]], [[2, 7, 3, 9, 1], [v = -2^(1/2), And(v < u,u < -1), And(u^2-3 <
x,x < -1), -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [-2666417/2097152, -2666417/2097152],
[3, 3], [0, 0]]]], [[2, 8, 8, 1, 1], [v = -2^(1/2), u = -1, x = 1, y < -3, z <
-(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1],
[1, 1], [-4, -4], [-3, -3]]]], [[2, 8, 8, 1, 2], [v = -2^(1/2), u = -1, x = 1,
y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1, -1], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[2, 8
, 8, 1, 3], [v = -2^(1/2), u = -1, x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-
y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [
1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[2, 8, 8, 1, 4], [v = -2^(1/2),
u = -1, x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1, -1], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]
]], [[2, 8, 8, 1, 5], [v = -2^(1/2), u = -1, x = 1, y < -3, (-y-1)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-4, -4
], [3, 3]]]], [[2, 13, 2, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3,
y < 0, z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [-1, -1], [-3, -3]]]], [[2, 13, 2, 1, 2], [v = -2^(1/2), And(1 < u,u
< -v), x = u^2-3, y < 0, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [-1, -1], [-1672107/1048576, -3344213/2097152]]]],
[[2, 13, 2, 1, 3], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, y < 0, And(-(-
u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[2, 13, 2, 1, 4], [v
= -2^(1/2), And(1 < u,u < -v), x = u^2-3, y < 0, z = (-u^2-y+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [-1, -1], [836053/524288, 
1672107/1048576]]]], [[2, 13, 2, 1, 5], [v = -2^(1/2), And(1 < u,u < -v), x =
u^2-3, y < 0, (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [-1, -1], [3, 3]]]], [[2, 14, 5, 7, 1], [v = -2^(1/2), u = -
v, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [0, 0]]]
], [[3, 1, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y
< -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [-1, -1], [-9, -9], [-5, -5]]]], [[3, 1, 4, 1, 2], [And(-2
^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1],
[-9, -9], [-3315889/1048576, -207243/65536]]]], [[3, 1, 4, 1, 3], [And(-2^(1/2
) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,
z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-1, -1], [-9, -9], [0, 0]]]], [[3, 1, 4, 1, 4], [And(-2^(1/2) < v,v < -1
), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-9, -9], [207243/
65536, 3315889/1048576]]]], [[3, 1, 4, 1, 5], [And(-2^(1/2) < v,v < -1), u < -
(v^2+2)^(1/2), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-9, -9], [5, 5]]]], [
[3, 2, 6, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = 0,
z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [0, 0], [0, 0], [-1, -1]]]], [[3, 2, 6, 4, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [0, 0], [0, 0], [0, 0]]]], [[3, 2, 6, 4, 3], [And(-2^(1/2) <
v,v < -1), u = -(v^2+2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [0,
0], [0, 0], [1, 1]]]], [[3, 7, 3, 9, 1], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), -x < y, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304],
[-2695357/2097152, -2695357/2097152], [3, 3], [0, 0]]]], [[3, 8, 8, 1, 1], [
And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [-4, -4], [-3, -3]]]], [[3, 8, 8, 1, 2], [And(-2^(1/2)
< v,v < -1), u = -(v^2-1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -\
354469/524288], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[3
, 8, 8, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), x = 1, y < -3, 
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-4, -4], [-1/
4194304, -1/4194304]]]], [[3, 8, 8, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2-1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1, 1], [-4, -\
4], [908093/524288, 1816187/1048576]]]], [[3, 8, 8, 1, 5], [And(-2^(1/2) < v,v
< -1), u = -(v^2-1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-1417877/2097152, -354469/524288], [1,
1], [-4, -4], [3, 3]]]], [[4, 1, 3, 6, 1], [v = -1, u < -3^(1/2), And(-u^2 < x
,x < -1), y = -x, z < 0], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5, 5
], [-1, -1]]]], [[4, 1, 3, 6, 2], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1),
y = -x, z = 0], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5, 5], [0, 0]]
]], [[4, 1, 3, 6, 3], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), y = -x, 0 <
z], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5, 5], [1, 1]]]], [[4, 2,
5, 9, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), 1-x < y, z = z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[3, 3], [0, 0]]]], [[4, 7, 3, 3, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x
,x < -1), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1
], [-1/2, -1/2], [-11/8, -11/8], [-3/16, -3/16], [-3, -3]]]], [[4, 7, 3, 3, 2]
, [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-3
/16, -3/16], [-5/4, -5/4]]]], [[4, 7, 3, 3, 3], [v = -1, And(-1 < u,u < 0), 
And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-3/16, -3
/16], [0, 0]]]], [[4, 7, 3, 3, 4], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x
< -1), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
-1/2, -1/2], [-11/8, -11/8], [-3/16, -3/16], [5/4, 5/4]]]], [[4, 7, 3, 3, 5],
[v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), (-x
-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [-3/
16, -3/16], [3, 3]]]], [[4, 8, 7, 2, 1], [v = -1, u = 0, And(0 < x,x < 1), y =
-x-2, z < -2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-5/2, -5/
2], [-3, -3]]]], [[4, 8, 7, 2, 2], [v = -1, u = 0, And(0 < x,x < 1), y = -x-2,
z = -2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-5/2, -5/2], [-\
1482911/1048576, -741455/524288]]]], [[4, 8, 7, 2, 3], [v = -1, u = 0, And(0 <
x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1],
[0, 0], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[4, 8, 7, 2, 4], [v = -1, u = 0,
And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [
1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[4, 8, 7, 2, 5]
, [v = -1, u = 0, And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[
-1, -1], [0, 0], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[4, 14, 7, 3, 1], [v =
-1, u = 3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-2, -\
2], [-3, -3]]]], [[4, 14, 7, 3, 2], [v = -1, u = 3^(1/2), And(0 < x,x < 1), 
And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/
524288]]]], [[4, 14, 7, 3, 3], [v = -1, u = 3^(1/2), And(0 < x,x < 1), And(-x-\
3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[4, 
14, 7, 3, 4], [v = -1, u = 3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576],
[1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[4, 14, 7, 3, 5],
[v = -1, u = 3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-\
2, -2], [3, 3]]]], [[4, 15, 11, 8, 1], [v = -1, 3^(1/2) < u, u^2-2 < x, y = 0,
z = z], [regular_chain, [[-1, -1], [3, 3], [8, 8], [0, 0], [0, 0]]]], [[5, 5,
3, 4, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [-3,
-3]]]], [[5, 5, 3, 4, 2], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [0, 0], [-143717/131072, -1149735/1048576]]]], [[5, 5, 3, 4, 3], [
And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [0,
0], [0, 0]]]], [[5, 5, 3, 4, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u
< v), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/
2097152], [0, 0], [1149735/1048576, 143717/131072]]]], [[5, 5, 3, 4, 5], [And(
-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y =
0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631
/2097152], [-2521309/2097152, -2521309/2097152], [0, 0], [3, 3]]]], [[5, 6, 7,
3, 1], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-5/2, -5/2], [-2, -\
2]]]], [[5, 6, 7, 3, 2], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-\
5/2, -5/2], [-1482911/2097152, -741455/1048576]]]], [[5, 6, 7, 3, 3], [And(-1
< v,v < 0), u = v, 1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-5/2, -5/2],
[0, 0]]]], [[5, 6, 7, 3, 4], [And(-1 < v,v < 0), u = v, 1 < x, And(-1-x < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2],
[-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[5, 6, 7, 3, 5], [And(-1 < v,
v < 0), u = v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-5/2, -5/2], [2, 2]]]], [[5, 9, 4, 4, 1]
, [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z < -1], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [0
, 0], [-2, -2]]]], [[5, 9, 4, 4, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1
)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[5, 9, 4, 4, 3], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, And(-1 < z,z
< 1)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1,
-1], [0, 0], [0, 0]]]], [[5, 9, 4, 4, 4], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1, -1], [0, 0], [1, 1]]]], [[5, 9, 4, 4, 5], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [0
, 0], [2, 2]]]], [[5, 10, 8, 5, 1], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x =
1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [1172343/1048576,
146543/131072], [1, 1], [-1/2, -1/2], [0, 0]]]], [[6, 1, 9, 3, 1], [v = 0, u <
-2^(1/2), And(1 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-19/2, -19/2], [-4, -4]]]], [[
6, 1, 9, 3, 2], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), And(-u^2-x-1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-19
/2, -19/2], [-146543/65536, -2344687/1048576]]]], [[6, 1, 9, 3, 3], [v = 0, u
< -2^(1/2), And(1 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-19/2,
-19/2], [0, 0]]]], [[6, 1, 9, 3, 4], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1
), And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-3,
-3], [9/2, 9/2], [-19/2, -19/2], [2344687/1048576, 146543/65536]]]], [[6, 1, 9
, 3, 5], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-19/2, -19/
2], [4, 4]]]], [[6, 3, 3, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1
< x,x < -1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [-2,
-2], [-3, -3]]]], [[6, 3, 3, 1, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2
-1 < x,x < -1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [-2,
-2], [-8098975/4194304, -16197949/8388608]]]], [[6, 3, 3, 1, 3], [v = 0, And(-
2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y < -u^2-x-1, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1812519/1048576, -1812519/1048576], [-2, -2], [-5/16777216, -5/
16777216]]]], [[6, 3, 3, 1, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 <
x,x < -1), y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [-2, -2], [
2024743/1048576, 253093/131072]]]], [[6, 3, 3, 1, 5], [v = 0, And(-2^(1/2) < u
,u < -1), And(-u^2-1 < x,x < -1), y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [-2, -2], [3, 3]]]], [[6, 9, 4, 5, 1], [v = 0, And
(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [1/2, 1/
2], [-2, -2]]]], [[6, 9, 4, 5, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And
(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[6, 9, 4, 5, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < 1),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[6, 9, 4, 5, 4],
[v = 0, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [1/2, 1/
2], [741455/1048576, 46341/65536]]]], [[6, 9, 4, 5, 5], [v = 0, And(1 < u,u <
2^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[0, 0],
[1265743/1048576, 1265743/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[6, 10,
7, 1, 1], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [1/2, 1/2], [-5, -5
], [-4, -4]]]], [[6, 10, 7, 1, 2], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[6, 
10, 7, 1, 3], [v = 0, u = 2^(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-5, -5], [0, 0]]]], [[6, 10, 7, 1, 4], [v = 0, u = 2^(1
/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [
741455/524288, 1482911/1048576], [1/2, 1/2], [-5, -5], [2224365/1048576, 
1112183/524288]]]], [[6, 10, 7, 1, 5], [v = 0, u = 2^(1/2), And(0 < x,x < 1),
y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [741455/524288, 1482911/
1048576], [1/2, 1/2], [-5, -5], [4, 4]]]], [[7, 3, 7, 6, 1], [And(0 < v,v < 1)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = 0,
z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021
/1048576, 243021/1048576], [0, 0], [0, 0]]]], [[7, 5, 3, 2, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x
-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -\
106039/524288], [-3, -3]]]], [[7, 5, 3, 2, 2], [And(0 < v,v < 1), And(-(v^2+1)
^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152]
, [-2521309/2097152, -2521309/2097152], [-212079/1048576, -106039/524288], [-\
19417/16384, -1242687/1048576]]]], [[7, 5, 3, 2, 3], [And(0 < v,v < 1), And(-(
v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-\
212079/1048576, -106039/524288], [0, 0]]]], [[7, 5, 3, 2, 4], [And(0 < v,v < 1
), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-\
1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/1048576, -\
106039/524288], [1242687/1048576, 19417/16384]]]], [[7, 5, 3, 2, 5], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-212079/
1048576, -106039/524288], [3, 3]]]], [[8, 1, 9, 1, 1], [v = 1, u < -3^(1/2), 
And(1 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[-3, -3], [4, 4], [-14, -14], [-5, -5]]]], [[8, 1, 9, 1, 2], [v = 1, u < -3^(1
/2), And(1 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [-3, -3], [4, 4], [-14, -14], [-3315889/1048576, -207243/65536]]]], [[8,
1, 9, 1, 3], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y < -u^2-x, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [4, 4], [-\
14, -14], [0, 0]]]], [[8, 1, 9, 1, 4], [v = 1, u < -3^(1/2), And(1 < x,x < u^2
-2), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [4, 4],
[-14, -14], [207243/65536, 3315889/1048576]]]], [[8, 1, 9, 1, 5], [v = 1, u <
-3^(1/2), And(1 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [-3, -3], [4, 4], [-14, -14], [5, 5]]]], [[8, 3, 2, 2, 1], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y = 0, z < u], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288],
[0, 0], [-3, -3]]]], [[8, 3, 2, 2, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -u^2, y = 0, z = u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-2594959/1048576, -1297479/524288], [0, 0], [-1649549/1048576, -\
3299097/2097152]]]], [[8, 3, 2, 2, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -u^2, y = 0, And(u < z,z < -u)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [0, 0], [-1/
4194304, -1/4194304]]]], [[8, 3, 2, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/
2)), x = -u^2, y = 0, z = -u], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-2594959/1048576, -1297479/524288], [0, 0], [412387/262144,
1649549/1048576]]]], [[8, 3, 2, 2, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = -u^2, y = 0, -u < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195
/4194304], [-2594959/1048576, -1297479/524288], [0, 0], [3, 3]]]], [[8, 7, 9,
2, 1], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = u^2-x-2, z < -(-u^2+2)
^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-9/4, -9/4], [-3,
-3]]]], [[8, 7, 9, 2, 2], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y = u^2
-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2],
[-9/4, -9/4], [-10837/8192, -1387135/1048576]]]], [[8, 7, 9, 2, 3], [v = 1, 
And(-1 < u,u < 0), And(0 < x,x < 1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z <
(-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-9/4, -9
/4], [0, 0]]]], [[8, 7, 9, 2, 4], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1),
y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2,
1/2], [-9/4, -9/4], [1387135/1048576, 10837/8192]]]], [[8, 7, 9, 2, 5], [v = 1
, And(-1 < u,u < 0), And(0 < x,x < 1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-9/4, -9/4], [3, 3]]]], [[8
, 9, 4, 1, 1], [v = 1, And(0 < u,u < 1), x = -1, y < u^2-1, z < -(1-y)^(1/2)],
[regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 9,
4, 1, 2], [v = 1, And(0 < u,u < 1), x = -1, y < u^2-1, z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 9, 4, 1, 3], [v = 1, And(0 < u,u < 1), x = -1, y < u
^2-1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1
/2], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[8, 9, 4, 1, 4], [v = 1
, And(0 < u,u < 1), x = -1, y < u^2-1, z = (1-y)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[8,
9, 4, 1, 5], [v = 1, And(0 < u,u < 1), x = -1, y < u^2-1, (1-y)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-1, -1], [-2, -2], [3, 3]]]], [[8, 15, 3,
9, 1], [v = 1, 3^(1/2) < u, And(-u^2 < x,x < -1), u^2-x-2 < y, z = z], [
regular_chain, [[1, 1], [3, 3], [-5, -5], [13, 13], [0, 0]]]], [[9, 1, 5, 8, 1
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = u^2-v^2
-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
-1/2, -1/2], [7385009/1048576, 3692505/524288], [0, 0]]]], [[9, 5, 9, 3, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2,
1/2], [-25165829/16777216, -25165829/16777216], [-3, -3]]]], [[9, 5, 9, 3, 2],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And
(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2,
1/2], [-25165829/16777216, -25165829/16777216], [-1048577/1048576, -1]]]], [[9
, 5, 9, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(0
< x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-25165829/16777216, -25165829/
16777216], [0, 0]]]], [[9, 5, 9, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [-25165829/16777216, -25165829
/16777216], [1, 1048577/1048576]]]], [[9, 5, 9, 3, 5], [And(1 < v,v < 2^(1/2))
, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u
^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [-25165829/
16777216, -25165829/16777216], [3, 3]]]], [[9, 7, 5, 7, 1], [And(1 < v,v < 2^(
1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^
2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [1/2, 1/2], [-2, -2]]]], [[9, 7, 5, 7, 2], [And(1 < v,v < 2^
(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v
^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [1/2, 1/2], [-485927/1048576, -242963/524288]]]], [[9, 7, 5,
7, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x <
-u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-1498947/2097152, -1498947/2097152], [1/2, 1/2], [0, 0]]]]
, [[9, 7, 5, 7, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), 
And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [1/2, 1/2], [242963/
524288, 485927/1048576]]]], [[9, 7, 5, 7, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [1/
2, 1/2], [2, 2]]]], [[9, 9, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1
/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1)
, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-28280675/16777216, -\
28280675/16777216], [-3, -3]]]], [[9, 9, 8, 3, 2], [And(1 < v,v < 2^(1/2)), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y
,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-28280675/16777216
, -28280675/16777216], [-1162243/1048576, -581121/524288]]]], [[9, 9, 8, 3, 3]
, [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2
+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (
u^2-v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [239655/524288, 479311/1048576], [-28280675/16777216, -28280675/16777216],
[0, 0]]]], [[9, 9, 8, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u
< (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2
-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[239655/524288, 479311/1048576], [-28280675/16777216, -28280675/16777216], [
581121/524288, 1162243/1048576]]]], [[9, 9, 8, 3, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y
,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-28280675/16777216
, -28280675/16777216], [3, 3]]]], [[9, 11, 3, 4, 1], [And(1 < v,v < 2^(1/2)),
And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [0, 0], [-3, -3]]]], [[
9, 11, 3, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^
2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304
, -5390713/4194304], [0, 0], [-1188757/1048576, -297189/262144]]]], [[9, 11, 3
, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1
< x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-5390713
/4194304, -5390713/4194304], [0, 0], [0, 0]]]], [[9, 11, 3, 4, 4], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [0, 0], [
297189/262144, 1188757/1048576]]]], [[9, 11, 3, 4, 5], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-5390713/4194304, -5390713/4194304], [0, 0], [3, 3]]]], [[9,
15, 10, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-1823847/
524288, -3647693/1048576], [-3, -3]]]], [[9, 15, 10, 2, 2], [And(1 < v,v < 2^(
1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [-1823847/524288, -3647693/1048576], [-\
3301741/2097152, -825435/524288]]]], [[9, 15, 10, 2, 3], [And(1 < v,v < 2^(1/2
)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-1823847/524288, -\
3647693/1048576], [0, 0]]]], [[9, 15, 10, 2, 4], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [1, 1], [-1823847/524288, -3647693/1048576], [825435/524288, 
1650871/1048576]]]], [[9, 15, 10, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [1, 1], [-1823847/524288, -3647693/1048576], [3, 3]]]], [[9, 17, 3, 3
, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-\
15818595/8388608, -15818595/8388608], [-4, -4]]]], [[9, 17, 3, 3, 2], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-\
1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-15818595/8388608,
-15818595/8388608], [-2705483/1048576, -5410965/2097152]]]], [[9, 17, 3, 3, 3]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(
-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-15818595/8388608, -15818595/8388608], [-1/4194304, -1/
4194304]]]], [[9, 17, 3, 3, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-15818595/8388608, -15818595/8388608], [1352741/524288,
2705483/1048576]]]], [[9, 17, 3, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/
2097152, -10006449/2097152], [-15818595/8388608, -15818595/8388608], [4, 4]]]]
, [[10, 5, 8, 4, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y = u^2-3,
z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-275385/524288, -1101539/2097152]
, [-2, -2]]]], [[10, 5, 8, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x =
0, y = u^2-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-275385/524288, -\
1101539/2097152], [-379975/524288, -1519899/2097152]]]], [[10, 5, 8, 4, 3], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2) < z
,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-275385/524288, -1101539/2097152]
, [-1/4194304, -1/4194304]]]], [[10, 5, 8, 4, 4], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), x = 0, y = u^2-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
275385/524288, -1101539/2097152], [759949/1048576, 379975/524288]]]], [[10, 5,
8, 4, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, y = u^2-3, (-u^2+3)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [0, 0], [-275385/524288, -1101539/2097152], [2, 2]
]]], [[10, 7, 5, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+
1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-2, -2], [-3, -3]]]], [[10, 7, 5, 1, 2], [v = 2^(1/2), And(-v < u,u
< -1), And(-1 < x,x < -u^2+1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-2, -2], [-1732073/1048576, -3464145/
2097152]]]], [[10, 7, 5, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x
< -u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [-1/4194304, -1/
4194304]]]], [[10, 7, 5, 1, 4], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x
< -u^2+1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-2, -2], [216509/131072, 1732073/1048576]]]], [[10, 7, 5, 1
, 5], [v = 2^(1/2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y < u^2-x-3, (
-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743
/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [
3, 3]]]], [[10, 11, 8, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(
2*u^2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-17/8, -17/8], [-3, -3]]]], [[10,
11, 8, 3, 2], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, And(2*u^2-4 < y,y <
u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/4, 3/4], [-17/8, -17/8], [-1229565/1048576, -307391/
262144]]]], [[10, 11, 8, 3, 3], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, 
And(2*u^2-4 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-17
/8, -17/8], [0, 0]]]], [[10, 11, 8, 3, 4], [v = 2^(1/2), And(0 < u,u < 1), x =
-u^2+1, And(2*u^2-4 < y,y < u^2-1), z = (u^2-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-17/8, -17/8], [
307391/262144, 1229565/1048576]]]], [[10, 11, 8, 3, 5], [v = 2^(1/2), And(0 <
u,u < 1), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), (u^2-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-17
/8, -17/8], [3, 3]]]], [[10, 13, 3, 4, 1], [v = 2^(1/2), And(1 < u,u < v), And
(u^2-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [0, 0], [-3, -3]]]], [[10, 13, 3, 4, 2], [v = 2^(1/2), And(1
< u,u < v), And(u^2-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417
/2097152, -2666417/2097152], [0, 0], [-591179/524288, -1182357/1048576]]]], [[
10, 13, 3, 4, 3], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [0, 0], [0, 0]]]], [[10, 13, 3, 4, 4], [v = 2^(1/2), And(1 <
u,u < v), And(u^2-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-2666417
/2097152, -2666417/2097152], [0, 0], [1182357/1048576, 591179/524288]]]], [[10
, 13, 3, 4, 5], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), y = 0,
(-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [0, 0], [3, 3
]]]], [[11, 3, 5, 9, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 5,
1, 1, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[-3, -3], [-1, -1], [-3, -3]]]], [[11, 5, 1, 1, 2], [2^(1/2) < v, And(-(v^2+1)
^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [-3, -3], [-1, -1], [-2, -2]]]], [[
11, 5, 1, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1,
y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [-3, -3], [-1, -1], [0, 0]]]], [[11, 5, 1, 1,
4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x < -u^2+v^2-1, y < 0, z = (
-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [-3,
-3], [-1, -1], [2, 2]]]], [[11, 5, 1, 1, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2)
< u,u < -v), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3]
, [-403851/131072, -403851/131072], [-3, -3], [-1, -1], [3, 3]]]], [[11, 9, 7,
6, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x <
-u^2+v^2-1), y = 0, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [533035/2097152, 533035/2097152], [0, 0], [0, 0]]]], [[11,
10, 9, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 1 < x, And(1-x < y,y < 0), z =
z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [2, 2], [-1
/2, -1/2], [0, 0]]]], [[11, 16, 7, 6, 1], [2^(1/2) < v, u = v, 1 < x, y = 0, z
= z], [regular_chain, [[3, 3], [3, 3], [2, 2], [0, 0], [0, 0]]]], [[11, 18, 3,
4, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(
1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2],
[0, 0], [-3, -3]]]], [[11, 18, 3, 4, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(
-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/
524288]]]], [[11, 18, 3, 4, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[11, 18, 3,
4, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1
/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2],
[0, 0], [642119/524288, 1284239/1048576]]]], [[11, 18, 3, 4, 5], [2^(1/2) < v,
u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain,
[[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[1
, 1, 11, 1, 1], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2
-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [-34,
-34], [-6, -6]]]], [[1, 1, 11, 1, 2], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v
^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5
, -5], [16, 16], [-34, -34], [-1112183/262144, -4448731/1048576]]]], [[1, 1, 
11, 1, 3], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5, -5],
[16, 16], [-34, -34], [0, 0]]]], [[1, 1, 11, 1, 4], [v < -2^(1/2), u < -(v^2+2
)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [
[-3, -3], [-5, -5], [16, 16], [-34, -34], [4448731/1048576, 1112183/262144]]]]
, [[1, 1, 11, 1, 5], [v < -2^(1/2), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^
2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5, -5], [16, 16], [
-34, -34], [6, 6]]]], [[1, 3, 4, 6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[1, 3, 4,
6, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y =
1, z = 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [-\
1, -1], [1, 1], [0, 0]]]], [[1, 3, 4, 6, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [-1, -1], [1, 1], [1, 1]]]], [[1, 7, 10, 7
, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = 1, And(-1 < y,y < 0),
z = z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [1, 1
], [-1/2, -1/2], [0, 0]]]], [[1, 9, 6, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0, 0], [-4,
-4], [-3, -3]]]], [[1, 9, 6, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [0, 0], [-4, -4], [-2, -2]]]], [[
1, 9, 6, 1, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [0, 0], [-4, -4], [0, 0]]]], [[1,
9, 6, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0,
y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608,
-22960369/8388608], [0, 0], [-4, -4], [2, 2]]]], [[1, 9, 6, 1, 5], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/
2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [0
, 0], [-4, -4], [3, 3]]]], [[1, 15, 2, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/
262144], [0, 0], [-3, -3]]]], [[1, 15, 2, 2, 2], [v < -2^(1/2), And((v^2-1)^(1
/2) < u,u < -v), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [0, 0], [-1287385/1048576, -160923/131072]]]], [[1,
15, 2, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y =
0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [
0, 0], [0, 0]]]], [[1, 15, 2, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u <
-v), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0]
, [160923/131072, 1287385/1048576]]]], [[1, 15, 2, 2, 5], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [0, 0], [3, 3]]]], [[1, 16, 6, 1, 1], [v < -2^(1/2),
u = -v, x = 1, y < -2, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [3, 3],
[1, 1], [-3, -3], [-3, -3]]]], [[1, 16, 6, 1, 2], [v < -2^(1/2), u = -v, x = 1
, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [3, 3], [1, 1], [-3,
-3], [-1482911/1048576, -741455/524288]]]], [[1, 16, 6, 1, 3], [v < -2^(1/2),
u = -v, x = 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [-3, -3], [0, 0]]]], [[1, 16, 6, 1,
4], [v < -2^(1/2), u = -v, x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [
[-3, -3], [3, 3], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[1,
16, 6, 1, 5], [v < -2^(1/2), u = -v, x = 1, y < -2, (-y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [3, 3], [1, 1], [-3, -3], [3, 3]]]], [[1, 21, 1, 8,
1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z],
[regular_chain, [[-3, -3], [5, 5], [-18, -18], [33, 33], [0, 0]]]], [[2, 1, 4,
4, 1], [v = -2^(1/2), u < -2, x = -1, y = 0, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[2
, 1, 4, 4, 2], [v = -2^(1/2), u < -2, x = -1, y = 0, z = -1], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0], [-1, -1]]]],
[[2, 1, 4, 4, 3], [v = -2^(1/2), u < -2, x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0]
, [0, 0]]]], [[2, 1, 4, 4, 4], [v = -2^(1/2), u < -2, x = -1, y = 0, z = 1], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0]
, [1, 1]]]], [[2, 1, 4, 4, 5], [v = -2^(1/2), u < -2, x = -1, y = 0, 1 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0]
, [2, 2]]]], [[2, 10, 8, 6, 1], [v = -2^(1/2), u = 0, x = 1, y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [1, 1], [0, 0], [0
, 0]]]], [[2, 12, 2, 4, 1], [v = -2^(1/2), u = 1, x = -2, y = 2, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [2, 2],
[-1, -1]]]], [[2, 12, 2, 4, 2], [v = -2^(1/2), u = 1, x = -2, y = 2, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [2, 2],
[0, 0]]]], [[2, 12, 2, 4, 3], [v = -2^(1/2), u = 1, x = -2, y = 2, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-2, -2], [2, 2],
[1, 1]]]], [[2, 17, 1, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+
1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [
397921/524288, 397921/524288], [-3, -3]]]], [[2, 17, 1, 3, 2], [v = -2^(1/2),
And(3^(1/2) < u,u < 2), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-4, -4], [397921/524288, 397921/524288], [-7550943/4194304,
-3775471/2097152]]]], [[2, 17, 1, 3, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2)
, x < -u^2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [-4, -4], [397921/524288, 397921/524288], [-1/4194304, -1/
4194304]]]], [[2, 17, 1, 3, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [-4, -4], [
397921/524288, 397921/524288], [1887735/1048576, 235967/131072]]]], [[2, 17, 1
, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(0 < y,y < -u^2
-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3913339/2097152, 3913339/2097152], [-4, -4], [397921/524288, 397921/524288],
[3, 3]]]], [[2, 18, 3, 8, 1], [v = -2^(1/2), u = 2, And(-3 < x,x < -1), y = 1-
x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-2, -\
2], [3, 3], [0, 0]]]], [[3, 4, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+
1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-410915/262144, -3287319/2097152], [1, 1], [-1/2, -1/2],
[0, 0]]]], [[3, 6, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1, 1 < y,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [2, 2], [0, 0]]]], [[3, 11, 1, 4, 1], [
And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = u^
2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1498947/1048576
, 374737/262144], [-3, -3]]]], [[3, 11, 1, 4, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-3, -3], [1498947/1048576, 374737/262144], [-\
1314069/1048576, -328517/262144]]]], [[3, 11, 1, 4, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [-3, -3], [1498947/
1048576, 374737/262144], [0, 0]]]], [[3, 11, 1, 4, 4], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/
1048576, 987341/1048576], [-3, -3], [1498947/1048576, 374737/262144], [328517/
262144, 1314069/1048576]]]], [[3, 11, 1, 4, 5], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [-3, -3], [1498947/1048576, 374737/262144], [3, 3]]]], [[3, 
12, 5, 1, 1], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y < -1-x, z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[3, 12,
5, 1, 2], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x < 1), y < -1-x, z = -
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743
/1048576, 1265743/1048576], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/
131072]]]], [[3, 12, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(0 < x,x
< 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2,
1/2], [-3, -3], [0, 0]]]], [[3, 12, 5, 1, 4], [And(-2^(1/2) < v,v < -1), u = -
v, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
3, -3], [207243/131072, 1657945/1048576]]]], [[3, 12, 5, 1, 5], [And(-2^(1/2)
< v,v < -1), u = -v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-3, -3], [3, 3]]]], [[3, 14, 9, 5, 1], [And(-2^
(1/2) < v,v < -1), u = (v^2+1)^(1/2), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1643659/1048576, 410915
/262144], [2, 2], [-1, -1], [0, 0]]]], [[3, 16, 3, 3, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[3, 16, 3, 3, 2], [And
(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -\
207243/131072]]]], [[3, 16, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[3, 16, 3, 3, 4],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y
,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [-2, -2], [-1/2, -1/2], [207243/
131072, 1657945/1048576]]]], [[3, 16, 3, 3, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[4, 3, 4, 1, 1], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), x = -1, y < -u^2+1, z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [-3,
-3], [-3, -3]]]], [[4, 3, 4, 1, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x
= -1, y < -u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1, -1], [-3, -3], [-2, -2]]]], [[4, 3, 4, 1, 3],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y < -u^2+1, And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-3, -3], [0, 0]]]], [[4, 3, 4, 1, 4], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), x = -1, y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[
-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [-3, -3], [2, 2]]]],
[[4, 3, 4, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y < -u^2+1,
(1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [-3, -3], [3, 3]]]], [[4, 4, 8, 2, 1], [v = -1, u = -2^(1/
2), x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576
, -741455/524288], [1, 1], [-3, -3], [-3, -3]]]], [[4, 4, 8, 2, 2], [v = -1, u
= -2^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[-1, -1], [-1482911
/1048576, -741455/524288], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288
]]]], [[4, 4, 8, 2, 3], [v = -1, u = -2^(1/2), x = 1, y = -3, And(-2^(1/2) < z
,z < 2^(1/2))], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/524288],
[1, 1], [-3, -3], [0, 0]]]], [[4, 4, 8, 2, 4], [v = -1, u = -2^(1/2), x = 1, y
= -3, z = 2^(1/2)], [regular_chain, [[-1, -1], [-1482911/1048576, -741455/
524288], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[4, 4, 8, 2,
5], [v = -1, u = -2^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-1,
-1], [-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [3, 3]]]], [[4, 11,
2, 4, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 2*u^2-2, z < -(-u^2+2
)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
1527887/1048576, -763943/524288], [958621/1048576, 479311/524288], [-2, -2]]]]
, [[4, 11, 2, 4, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y = 2*u^2-2, z
= -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1527887/1048576, -763943/524288], [958621/1048576, 479311/524288],
[-772605/1048576, -1545209/2097152]]]], [[4, 11, 2, 4, 3], [v = -1, And(1 < u,
u < 2^(1/2)), x = -u^2, y = 2*u^2-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2
))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/
1048576, -763943/524288], [958621/1048576, 479311/524288], [-1/4194304, -1/
4194304]]]], [[4, 11, 2, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -u^2, y =
2*u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1527887/1048576, -763943/524288], [958621/1048576, 479311/
524288], [193151/262144, 772605/1048576]]]], [[4, 11, 2, 4, 5], [v = -1, And(1
< u,u < 2^(1/2)), x = -u^2, y = 2*u^2-2, (-u^2+2)^(1/2) < z], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-1527887/1048576, -763943/
524288], [958621/1048576, 479311/524288], [2, 2]]]], [[4, 12, 6, 1, 1], [v = -\
1, u = 2^(1/2), x = 0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [
741455/524288, 1482911/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[4, 12, 6, 1,
2], [v = -1, u = 2^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[-\
1, -1], [741455/524288, 1482911/1048576], [0, 0], [-3, -3], [-1816187/1048576,
-3632373/2097152]]]], [[4, 12, 6, 1, 3], [v = -1, u = 2^(1/2), x = 0, y < -2,
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [741455/
524288, 1482911/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[4,
12, 6, 1, 4], [v = -1, u = 2^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [
regular_chain, [[-1, -1], [741455/524288, 1482911/1048576], [0, 0], [-3, -3],
[908093/524288, 1816187/1048576]]]], [[4, 12, 6, 1, 5], [v = -1, u = 2^(1/2),
x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [741455/524288, 
1482911/1048576], [0, 0], [-3, -3], [3, 3]]]], [[5, 1, 7, 7, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < u^2-v^2-x-1), z = z]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [1/2, 1/2], [29/8, 29/8], [0, 0]]]]
, [[5, 3, 1, 3, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [
1611109/2097152, 1611109/2097152], [-3, -3]]]], [[5, 3, 1, 3, 2], [And(-1 < v,
v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,
y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151
/262144, -343151/262144], [-4, -4], [1611109/2097152, 1611109/2097152], [-\
7540145/4194304, -471259/262144]]]], [[5, 3, 1, 3, 3], [And(-1 < v,v < 0), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^
2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2
], [-343151/262144, -343151/262144], [-4, -4], [1611109/2097152, 1611109/
2097152], [0, 0]]]], [[5, 3, 1, 3, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-\
4, -4], [1611109/2097152, 1611109/2097152], [471259/262144, 1885037/1048576]]]
], [[5, 3, 1, 3, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-4, -4], [
1611109/2097152, 1611109/2097152], [3, 3]]]], [[5, 12, 9, 1, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3/2, 3/2], [2, 2], [-6, -6], [-3, -3]]]], [[5, 12, 9, 1, 2], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [2, 2], [-6, -6], [-2, -2]]]], [[5,
12, 9, 1, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [
2, 2], [-6, -6], [0, 0]]]], [[5, 12, 9, 1, 4], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/
2, 3/2], [2, 2], [-6, -6], [2, 2]]]], [[5, 12, 9, 1, 5], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [3/2, 3/2], [2, 2], [-6, -6], [3, 3]]]], [[6, 1, 2, 4, 1], [v = 0, u < -
2^(1/2), x = -u^2-1, y = u^2+1, z < 0], [regular_chain, [[0, 0], [-3, -3], [-\
10, -10], [10, 10], [-1, -1]]]], [[6, 1, 2, 4, 2], [v = 0, u < -2^(1/2), x = -
u^2-1, y = u^2+1, z = 0], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [10,
10], [0, 0]]]], [[6, 1, 2, 4, 3], [v = 0, u < -2^(1/2), x = -u^2-1, y = u^2+1,
0 < z], [regular_chain, [[0, 0], [-3, -3], [-10, -10], [10, 10], [1, 1]]]], [[
6, 5, 5, 2, 1], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y = -u^2-x-1
, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-\
3/8, -3/8], [-3, -3]]]], [[6, 5, 5, 2, 2], [v = 0, And(-1 < u,u < 0), And(-1 <
x,x < u^2-1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/
2, -1/2], [-7/8, -7/8], [-3/8, -3/8], [-146543/131072, -1172343/1048576]]]], [
[6, 5, 5, 2, 3], [v = 0, And(-1 < u,u < 0), And(-1 < x,x < u^2-1), y = -u^2-x-\
1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2,
-1/2], [-7/8, -7/8], [-3/8, -3/8], [0, 0]]]], [[6, 5, 5, 2, 4], [v = 0, And(-1
< u,u < 0), And(-1 < x,x < u^2-1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-7/8, -7/8], [-3/8, -3/8], [1172343/
1048576, 146543/131072]]]], [[6, 5, 5, 2, 5], [v = 0, And(-1 < u,u < 0), And(-\
1 < x,x < u^2-1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [
-1/2, -1/2], [-7/8, -7/8], [-3/8, -3/8], [3, 3]]]], [[6, 7, 2, 3, 1], [v = 0,
And(0 < u,u < 1), x = -u^2-1, And(0 < y,y < 2*u^2), z < -(u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [1/4, 1/4], [-2, -2]]]], [[6
, 7, 2, 3, 2], [v = 0, And(0 < u,u < 1), x = -u^2-1, And(0 < y,y < 2*u^2), z =
-(u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [1/4, 1/
4], [-1, -1]]]], [[6, 7, 2, 3, 3], [v = 0, And(0 < u,u < 1), x = -u^2-1, And(0
< y,y < 2*u^2), And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain
, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [1/4, 1/4], [0, 0]]]], [[6, 7, 2, 3, 4],
[v = 0, And(0 < u,u < 1), x = -u^2-1, And(0 < y,y < 2*u^2), z = (u^2-y+1)^(1/2
)], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [1/4, 1/4], [1, 1]]]],
[[6, 7, 2, 3, 5], [v = 0, And(0 < u,u < 1), x = -u^2-1, And(0 < y,y < 2*u^2),
(u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [1/2, 1/2], [-5/4, -5/4], [1/4,
1/4], [2, 2]]]], [[7, 1, 7, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(
0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [-3, -3], [1/2, 1/2], [-41/4, -41/4], [-5, -5]]]], [[7, 1, 7, 2, 2], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-41/4
, -41/4], [-1637089/524288, -3274177/1048576]]]], [[7, 1, 7, 2, 3], [And(0 < v
,v < 1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2
+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3],
[1/2, 1/2], [-41/4, -41/4], [0, 0]]]], [[7, 1, 7, 2, 4], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-41/4, -41/4], [3274177/
1048576, 1637089/524288]]]], [[7, 1, 7, 2, 5], [And(0 < v,v < 1), u < -(v^2+2)
^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [1/2, 1/2], [-41/4, -41/4], [5, 5]]]], [
[7, 2, 9, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, And(1-x < y,y <
0), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-1/2, -1/2], [
0, 0]]]], [[7, 7, 7, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2
-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [0, 0], [-3/8, -3/8], [-2, -2], [-3, -3]]]], [[7, 7, 7, 1, 2], [And(0 < v,v
< 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-2, -2], [-\
3231929/2097152, -403991/262144]]]], [[7, 7, 7, 1, 3], [And(0 < v,v < 1), And(
-v < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3/8, -3/8], [-2,
-2], [0, 0]]]], [[7, 7, 7, 1, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(-u
^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [0, 0], [-3/8, -3/8], [-2, -2], [403991/262144, 1615965/1048576]]]], [
[7, 7, 7, 1, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(-u^2+v^2-1 < x,x <
0), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [
-3/8, -3/8], [-2, -2], [3, 3]]]], [[7, 9, 4, 2, 1], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-\
212079/524288, -424157/1048576], [-3, -3]]]], [[7, 9, 4, 2, 2], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1],
[-212079/524288, -424157/1048576], [-19417/16384, -1242687/1048576]]]], [[7, 9
, 4, 2, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+
v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-212079/524288, -424157
/1048576], [0, 0]]]], [[7, 9, 4, 2, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+
1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [-212079/524288, -424157
/1048576], [1242687/1048576, 19417/16384]]]], [[7, 9, 4, 2, 5], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [
-212079/524288, -424157/1048576], [3, 3]]]], [[7, 11, 6, 4, 1], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = 0, z < 0], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [0, 0], [-\
1, -1]]]], [[7, 11, 6, 4, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [0, 0], [0, 0], [0, 0]]]], [[7, 11, 6, 4, 3], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [0, 0], [0, 0], [1
, 1]]]], [[7, 12, 8, 5, 1], [And(0 < v,v < 1), u = (v^2+2)^(1/2), x = 1, And(-\
1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [3/2, 3/2], [1, 1], [-1/2,
-1/2], [0, 0]]]], [[8, 3, 9, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 
And(u^2-2 < x,x < 1), And(u^2-x-2 < y,y < 0), z = z], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [1546383/2097152, 1546383/2097152], [-\
275385/2097152, -275385/2097152], [0, 0]]]], [[8, 5, 4, 6, 1], [v = 1, And(-2^
(1/2) < u,u < -1), x = -1, y = u^2-1, z < -(-u^2+2)^(1/2)], [regular_chain, [[
1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [239655/524288, 479311/
1048576], [-2, -2]]]], [[8, 5, 4, 6, 2], [v = 1, And(-2^(1/2) < u,u < -1), x =
-1, y = u^2-1, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [239655/524288, 479311/1048576], [-\
772605/1048576, -1545209/2097152]]]], [[8, 5, 4, 6, 3], [v = 1, And(-2^(1/2) <
u,u < -1), x = -1, y = u^2-1, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
239655/524288, 479311/1048576], [-1/4194304, -1/4194304]]]], [[8, 5, 4, 6, 4],
[v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = u^2-1, z = (-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
239655/524288, 479311/1048576], [193151/262144, 772605/1048576]]]], [[8, 5, 4,
6, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = -1, y = u^2-1, (-u^2+2)^(1/2) < z
], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
239655/524288, 479311/1048576], [2, 2]]]], [[8, 11, 8, 3, 1], [v = 1, And(1 <
u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), z < -(-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-4194303/
4194304, -4194303/4194304], [-2, -2]]]], [[8, 11, 8, 3, 2], [v = 1, And(1 < u,
u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), z = -(-y)^(1/2)], [regular_chain
, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-4194303/4194304, -\
4194303/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[8, 11
, 8, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [-\
3670015/8796093022208, -3670015/8796093022208]]]], [[8, 11, 8, 3, 4], [v = 1,
And(1 < u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), z = (-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-4194303/
4194304, -4194303/4194304], [1048575/1048576, 1]]]], [[8, 11, 8, 3, 5], [v = 1
, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2 < y,y < u^2-2), (-y)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [0, 0], [-4194303/
4194304, -4194303/4194304], [2, 2]]]], [[8, 13, 3, 4, 1], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [0, 0], [-3, -3]]]], [[8, 13, 3, 4, 2], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [-3643533/2097152,
-3643533/2097152], [0, 0], [-691061/524288, -1382121/1048576]]]], [[8, 13, 3,
4, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = 0, And(
-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [0, 0], [0, 0]]]], [[8
, 13, 3, 4, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y
= 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [-3643533/2097152, -3643533/2097152], [0, 0], [1382121/1048576, 
691061/524288]]]], [[8, 13, 3, 4, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 
And(-u^2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [0, 0
], [3, 3]]]], [[9, 2, 2, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x
= -3, y = 0, z < -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3899297/2097152, -7798593/4194304], [-3, -3], [0, 0], [-3, -3]]]], [[9, 2
, 2, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, y = 0, z = -3
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [0, 0], [-1816187/1048576, -3632373/
2097152]]]], [[9, 2, 2, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x
= -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [0, 0], [-\
1/4194304, -1/4194304]]]], [[9, 2, 2, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^
2+2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[9, 2, 2, 2, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [0,
0], [3, 3]]]], [[9, 3, 6, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-2599117/2097152, -2599117/2097152], [-3, -3]]]],
[[9, 3, 6, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [0
, 0], [-2599117/2097152, -2599117/2097152], [-583671/524288, -1167341/1048576]
]]], [[9, 3, 6, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [0, 0], [-2599117/2097152, -2599117/2097152], [0,
0]]]], [[9, 3, 6, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [0, 0], [-2599117/2097152, -2599117/2097152], [1167341/
1048576, 583671/524288]]]], [[9, 3, 6, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [0, 0], [-2599117/2097152, -2599117/2097152], [3,
3]]]], [[9, 13, 7, 7, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)
), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-139585/524288, -139585/524288], [139585/1048576, 139585/1048576],
[-2, -2]]]], [[9, 13, 7, 7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-139585/524288, -139585/524288], [139585/1048576, 139585/1048576],
[-191289/524288, -382577/1048576]]]], [[9, 13, 7, 7, 3], [And(1 < v,v < 2^(1/2
)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [139585/1048576, 139585/1048576], [0, 0]]]], [[9, 13, 7, 7, 4], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-139585/524288, -139585
/524288], [139585/1048576, 139585/1048576], [382577/1048576, 191289/524288]]]]
, [[9, 13, 7, 7, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
139585/524288, -139585/524288], [139585/1048576, 139585/1048576], [2, 2]]]], [
[9, 15, 2, 6, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -\
2599117/1048576], [1550541/524288, 3101083/1048576], [0, 0]]]], [[10, 2, 1, 6,
1], [v = 2^(1/2), u = -2, x < -3, y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-4, -4], [4, 4], [-1, -1]]]], [[10, 2, 1,
6, 2], [v = 2^(1/2), u = -2, x < -3, y = -x, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-4, -4], [4, 4], [0, 0]]]], [[10, 2, 1, 6
, 3], [v = 2^(1/2), u = -2, x < -3, y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-2, -2], [-4, -4], [4, 4], [1, 1]]]], [[10, 3, 5, 7
, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-1 < x,x < 0), And(-x < y,y
< u^2-x-3), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1/2, -1/2], [1554043/2097152, 1554043/
2097152], [0, 0]]]], [[10, 9, 7, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(0
< x,x < -u^2+1), y = -u^2-x+1, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [3/8, 3/8], [3/8, 3/8], [0, 0]]]], [[10, 10, 9
, 9, 1], [v = 2^(1/2), u = 0, 1 < x, 0 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[10, 15, 7, 5, 1
], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(u^2-x-3 < y
,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3299097/2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-\
275385/2097152, -275385/2097152], [-2, -2]]]], [[10, 15, 7, 5, 2], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(u^2-x-3 < y,y < 0), z = -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-275385/1048576, -275385/1048576], [-275385/
2097152, -275385/2097152], [-1316273/2097152, -82267/131072]]]], [[10, 15, 7,
5, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), And(u^2-x-3
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/
1048576, -275385/1048576], [-275385/2097152, -275385/2097152], [0, 0]]]], [[10
, 15, 7, 5, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2-3 < x,x < 0), 
And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/1048576, -\
275385/1048576], [-275385/2097152, -275385/2097152], [82267/131072, 658137/
1048576]]]], [[10, 15, 7, 5, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(u^2
-3 < x,x < 0), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-275385/
1048576, -275385/1048576], [-275385/2097152, -275385/2097152], [2, 2]]]], [[10
, 17, 2, 4, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = u^2-1, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/1048576, 650655
/262144], [-1, -1]]]], [[10, 17, 2, 4, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2
), x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-650655/262144, -2602619/
1048576], [2602619/1048576, 650655/262144], [0, 0]]]], [[10, 17, 2, 4, 3], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), x = -u^2+1, y = u^2-1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-650655/262144, -2602619/1048576], [2602619/1048576, 650655/262144]
, [1, 1]]]], [[10, 19, 3, 3, 1], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1),
And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [-9/2, -9/2], [-7/4, -7/4], [-4, -4]]]], [[10, 19, 3
, 3, 2], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-9/2, -9/2], [-7/4, -7/4], [-5/2, -5/2]]]], [[10, 19, 3, 3, 3], [v = 2^(1/2),
2 < u, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-9/2, -9/2], [-7/4, -7/4], [0, 0]]]], [[10, 19, 3, 3, 4], [v = 2^(1/2), 2 < u
, And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [-7/4,
-7/4], [5/2, 5/2]]]], [[10, 19, 3, 3, 5], [v = 2^(1/2), 2 < u, And(-u^2+1 < x,
x < -1), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-9/2, -9/2], [-7/4, -7/4], [4, 4]]]], [[11,
1, 5, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2
-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2]
, [-33/2, -33/2], [-6, -6]]]], [[11, 1, 5, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(
1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-33/2, -33/2], [-2161695/
524288, -4323389/1048576]]]], [[11, 1, 5, 2, 3], [2^(1/2) < v, u < -(v^2+2)^(1
/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-
v^2+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1/2], [-33/2, -33/2
], [0, 0]]]], [[11, 1, 5, 2, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,
x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5
, -5], [-1/2, -1/2], [-33/2, -33/2], [4323389/1048576, 2161695/524288]]]], [[
11, 1, 5, 2, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [-1/2, -1
/2], [-33/2, -33/2], [6, 6]]]], [[11, 5, 8, 4, 1], [2^(1/2) < v, And(-(v^2+1)^
(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [-2, -2]]]], [[11, 5, 8, 4, 2], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [-373161/524288, -1492643/2097152]]]], [[11, 5, 8,
4, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [0, 0], [-531193/1048576, -1062385/2097152], [
-1/4194304, -1/4194304]]]], [[11, 5, 8, 4, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2
) < u,u < -v), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [0, 0], [-531193/1048576, -1062385/
2097152], [746321/1048576, 373161/524288]]]], [[11, 5, 8, 4, 5], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-531193/
1048576, -1062385/2097152], [2, 2]]]], [[11, 7, 5, 1, 1], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x
-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
391287/524288, -391287/524288], [-2, -2], [-3, -3]]]], [[11, 7, 5, 1, 2], [2^(
1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-
v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-1737703/
1048576, -3475405/2097152]]]], [[11, 7, 5, 1, 3], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549
/2097152], [-391287/524288, -391287/524288], [-2, -2], [-1/4194304, -1/4194304
]]]], [[11, 7, 5, 1, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-1
< x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [-6111549/2097152, -6111549/2097152], [-391287/524288, -391287/524288], [-\
2, -2], [868851/524288, 1737703/1048576]]]], [[11, 7, 5, 1, 5], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (
-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-391287/524288, -391287/524288], [-2, -2], [3, 3]]]], [[11, 13, 1, 4, 1],
[2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2
-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [-4, -4], [1564115/1048576, 391029/262144], [-3, -3]]]], [[11
, 13, 1, 4, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^
2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-4, -4], [1564115/1048576, 391029/262144], [
-3321417/2097152, -415177/262144]]]], [[11, 13, 1, 4, 3], [2^(1/2) < v, And((v
^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-4, -4], [1564115/1048576, 391029/262144], [0, 0]]]]
, [[11, 13, 1, 4, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)),
x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-4, -4], [1564115/1048576, 391029/
262144], [415177/262144, 1660709/1048576]]]], [[11, 13, 1, 4, 5], [2^(1/2) < v
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, (-
u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-4, -4], [1564115/1048576, 391029/262144], [3, 3]]]], [[11, 14, 4, 2
, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = -1, z < -2^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-1, -1],
[-3, -3]]]], [[11, 14, 4, 2, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y =
-1, z = -2^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576],
[-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[11, 14, 4, 2, 3],
[2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))
], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-1, -\
1], [0, 0]]]], [[11, 14, 4, 2, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y
= -1, z = 2^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576],
[-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 14, 4, 2, 5], [
2^(1/2) < v, u = (v^2-1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[11
, 19, 3, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u
^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -\
915943/524288], [-391655/1048576, -391655/1048576], [-3, -3]]]], [[11, 19, 3,
3, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1
< x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288],
[-391655/1048576, -391655/1048576], [-763471/524288, -1526941/1048576]]]], [[
11, 19, 3, 3, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
-915943/524288, -915943/524288], [-391655/1048576, -391655/1048576], [0, 0]]]]
, [[11, 19, 3, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -\
915943/524288], [-391655/1048576, -391655/1048576], [1526941/1048576, 763471/
524288]]]], [[11, 19, 3, 3, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2
) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [-391655/1048576, -391655/1048576], [3, 3]]]], [[11,
20, 5, 2, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z
< -3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2
, -1/2], [-5/2, -5/2], [-3, -3]]]], [[11, 20, 5, 2, 2], [2^(1/2) < v, u = (v^2
+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5/2, -5/2], [-1816187/
1048576, -3632373/2097152]]]], [[11, 20, 5, 2, 3], [2^(1/2) < v, u = (v^2+2)^(
1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5/2
, -5/2], [-1/4194304, -1/4194304]]]], [[11, 20, 5, 2, 4], [2^(1/2) < v, u = (v
^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[3, 3
], [3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5/2, -5/2], [908093/
524288, 1816187/1048576]]]], [[11, 20, 5, 2, 5], [2^(1/2) < v, u = (v^2+2)^(1/
2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[1,
5, 6, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2-v^2-1, y =
-u^2+v^2+1, z < 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [-531193/1048576, -1062385/2097152], [66399/131072, 531193/1048576], [-1, -\
1]]]], [[1, 5, 6, 6, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = u^2
-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-531193/1048576, -1062385/2097152], [66399/131072, 531193/
1048576], [0, 0]]]], [[1, 5, 6, 6, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-531193/1048576, -1062385/2097152], [66399/
131072, 531193/1048576], [1, 1]]]], [[1, 7, 3, 9, 1], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), -x < y, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [3, 3], [0, 0]]]], [[1, 11, 6, 3, 1], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z
< -(-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-5, -5], [-4, -4]]
]], [[1, 11, 6, 3, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)
), x = 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3
], [0, 0], [0, 0], [-5, -5], [-146543/65536, -2344687/1048576]]]], [[1, 11, 6,
3, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, And(u^
2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3
, -3], [0, 0], [0, 0], [-5, -5], [0, 0]]]], [[1, 11, 6, 3, 4], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), z
= (-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [0, 0], [-5, -5], [2344687/
1048576, 146543/65536]]]], [[1, 11, 6, 3, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2
) < u,u < (v^2-2)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [0, 0], [-5, -5], [4, 4]]]], [[1, 12, 9, 1,
1], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [-6, -6], [-3
, -3]]]], [[1, 12, 9, 1, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y < -x-3
, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096]
, [2, 2], [-6, -6], [-2, -2]]]], [[1, 12, 9, 1, 3], [v < -2^(1/2), u = (v^2-2)
^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2, 2], [-6, -6], [0,
0]]]], [[1, 12, 9, 1, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), 1 < x, y < -x-3, z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [2,
2], [-6, -6], [2, 2]]]], [[1, 12, 9, 1, 5], [v < -2^(1/2), u = (v^2-2)^(1/2),
1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [2, 2], [-6, -6], [3, 3]]]], [[1, 19, 1, 5, 1], [v < -2^
(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-
x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [-4, -4], [1443353/524288, 1443353/524288], [-3, -3
]]]], [[1, 19, 1, 5, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [-1170947/1048576, -585473/524288]]]], [[1, 
19, 1, 5, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [0, 0]]]], [[1, 19, 1, 5, 4], [v < -2^(1/2),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 
3396811/1048576], [-4, -4], [1443353/524288, 1443353/524288], [585473/524288,
1170947/1048576]]]], [[1, 19, 1, 5, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [-4, -4], [
1443353/524288, 1443353/524288], [3, 3]]]], [[1, 20, 4, 1, 1], [v < -2^(1/2),
u = (v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3
], [3477733/1048576, 1738867/524288], [-1, -1], [-3, -3], [-3, -3]]]], [[1, 20
, 4, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)
], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [-3
, -3], [-2, -2]]]], [[1, 20, 4, 1, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -\
1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [-1, -1], [-3, -3], [0, 0]]]], [[1, 20, 4,
1, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-1, -1], [-3, -3
], [2, 2]]]], [[1, 20, 4, 1, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -1, y <
-2, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-1, -1], [-3, -3], [3, 3]]]], [[2, 3, 4, 6, 1], [v = -2^(1/2), And(-\
2 < u,u < -3^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1, -1], [1, 1], [-1
, -1]]]], [[2, 3, 4, 6, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y
= 1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-1, -1], [1, 1], [0, 0]]]], [[2, 3, 4, 6, 3], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-1,
-1], [1, 1], [1, 1]]]], [[2, 4, 8, 7, 1], [v = -2^(1/2), u = -3^(1/2), x = 1,
0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [1, 1], [1, 1], [0, 0]]]], [[2, 7, 4, 1, 1], [v =
-2^(1/2), And(v < u,u < -1), x = -1, y < u^2-2, z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[2, 7, 4, 1, 2], [v = -2^(
1/2), And(v < u,u < -1), x = -1, y < u^2-2, z = -(1-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1
, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[2, 7, 4, 1, 3], [v
= -2^(1/2), And(v < u,u < -1), x = -1, y < u^2-2, And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [
[2, 7, 4, 1, 4], [v = -2^(1/2), And(v < u,u < -1), x = -1, y < u^2-2, z = (1-y
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/
1048576]]]], [[2, 7, 4, 1, 5], [v = -2^(1/2), And(v < u,u < -1), x = -1, y < u
^2-2, (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[2, 8, 8,
2, 1], [v = -2^(1/2), u = -1, x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-3, -3], [-3, -3]]]], [[
2, 8, 8, 2, 2], [v = -2^(1/2), u = -1, x = 1, y = -3, z = -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-3, -3]
, [-1482911/1048576, -741455/524288]]]], [[2, 8, 8, 2, 3], [v = -2^(1/2), u =
-1, x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1, -1], [1, 1], [-3, -3], [0, 0]]]], [[2, 8, 8, 2,
4], [v = -2^(1/2), u = -1, x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-3, -3], [741455/524288,
1482911/1048576]]]], [[2, 8, 8, 2, 5], [v = -2^(1/2), u = -1, x = 1, y = -3, 2
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1, -1], [1
, 1], [-3, -3], [3, 3]]]], [[2, 13, 1, 9, 1], [v = -2^(1/2), And(1 < u,u < -v)
, x < u^2-3, -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3, -3], [4, 4], [0, 0]]]], [[2,
14, 5, 6, 1], [v = -2^(1/2), u = -v, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [741455/524288, 1482911/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[3, 1, 4, 2, 1], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-4, -4]]]], [[3, 1, 4, 2, 2], [And(-2^(1
/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1
], [-15818595/2097152, -7909297/1048576], [-1532401/524288, -24518415/8388608]
]]], [[3, 1, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1,
y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [-7/16777216, -7/16777216]]]], [[3, 1, 4,
2, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576], [3064801/1048576, 
1532401/524288]]]], [[3, 1, 4, 2, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^
(1/2), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1, -1], [-15818595/2097152, -\
7909297/1048576], [4, 4]]]], [[3, 2, 6, 5, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [1/2
, 1/2], [0, 0]]]], [[3, 7, 3, 8, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [673839/524288, 1347679/1048576], [-1, -1]
]]], [[3, 7, 3, 8, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)
), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [673839/524288, 1347679/1048576], [0, 0]]]], [[3,
7, 3, 8, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(u^2
-v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [673839/524288, 1347679/1048576], [1, 1]]]], [[3, 8, 7, 7, 1
], [And(-2^(1/2) < v,v < -1), u = -(v^2-1)^(1/2), And(0 < x,x < 1), 0 < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1417877/2097152,
-354469/524288], [1/2, 1/2], [1, 1], [0, 0]]]], [[4, 1, 3, 5, 1], [v = -1, u <
-3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5/2, 5/2], [-3, -3]]]], [[4, 1,
3, 5, 2], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5/2, 5/2], [-\
3315889/2097152, -207243/131072]]]], [[4, 1, 3, 5, 3], [v = -1, u < -3^(1/2),
And(-u^2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5/2, 5/2], [0, 0]]]], [[4
, 1, 3, 5, 4], [v = -1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-5, -5], [5/2, 5/2],
[207243/131072, 1657945/1048576]]]], [[4, 1, 3, 5, 5], [v = -1, u < -3^(1/2),
And(-u^2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1, -1], [-3, -3], [-5, -5], [5/2, 5/2], [3, 3]]]], [[4, 2, 5, 8, 1], [v = -1,
u = -3^(1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[-1, -1], [
-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[4,
7, 3, 4, 1], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = 0, z < -(-
x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [0, 0], [-\
3, -3]]]], [[4, 7, 3, 4, 2], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -\
11/8], [0, 0], [-1229565/1048576, -307391/262144]]]], [[4, 7, 3, 4, 3], [v = -\
1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-
x)^(1/2))], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [0, 0], [
0, 0]]]], [[4, 7, 3, 4, 4], [v = -1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1),
y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-1/2, -1/2], [-11/8, -11/8
], [0, 0], [307391/262144, 1229565/1048576]]]], [[4, 7, 3, 4, 5], [v = -1, And
(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-1, -1], [-1/2, -1/2], [-11/8, -11/8], [0, 0], [3, 3]]]], [[4, 8, 7, 3, 1],
[v = -1, u = 0, And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[4,
8, 7, 3, 2], [v = -1, u = 0, And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-1, -\
1]]]], [[4, 8, 7, 3, 3], [v = -1, u = 0, And(0 < x,x < 1), And(-x-2 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [0, 0]
, [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[4, 8, 7, 3, 4], [v = -1, u = 0, And(0
< x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [0, 0], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[4, 8, 7, 3, 5], [v = -1, u =
0, And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [0, 0], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[4, 14, 7, 2, 1], [v
= -1, u = 3^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-7/2, -7/2], [-3, -3
]]]], [[4, 14, 7, 2, 2], [v = -1, u = 3^(1/2), And(0 < x,x < 1), y = -x-3, z =
-3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2,
1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[4, 14, 7, 2, 3]
, [v = -1, u = 3^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/
2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [1/2, 1/2],
[-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[4, 14, 7, 2, 4], [v = -1, u = 3^(
1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 
1816187/1048576]]]], [[4, 14, 7, 2, 5], [v = -1, u = 3^(1/2), And(0 < x,x < 1)
, y = -x-3, 3^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[4, 15, 11, 7, 1], [v = -1, 3^
(1/2) < u, u^2-2 < x, And(u^2-x-2 < y,y < 0), z = z], [regular_chain, [[-1, -1
], [3, 3], [8, 8], [-1/2, -1/2], [0, 0]]]], [[5, 5, 3, 5, 1], [And(-1 < v,v <
0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u
^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [636235/
2097152, 636235/2097152], [-2, -2]]]], [[5, 5, 3, 5, 2], [And(-1 < v,v < 0), 
And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v
^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152,
-1696631/2097152], [-2521309/2097152, -2521309/2097152], [636235/2097152, 
636235/2097152], [-3976575/4194304, -15906299/16777216]]]], [[5, 5, 3, 5, 3],
[And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [636235/2097152, 636235/2097152], [-11/33554432, -\
11/33554432]]]], [[5, 5, 3, 5, 4], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,
u < v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/2097152], [-\
2521309/2097152, -2521309/2097152], [636235/2097152, 636235/2097152], [994143/
1048576, 31067/32768]]]], [[5, 5, 3, 5, 5], [And(-1 < v,v < 0), And(-(v^2+1)^(
1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -1696631/
2097152], [-2521309/2097152, -2521309/2097152], [636235/2097152, 636235/
2097152], [2, 2]]]], [[5, 6, 7, 4, 1], [And(-1 < v,v < 0), u = v, 1 < x, y = -
x, z < 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-2, -2], [-1,
-1]]]], [[5, 6, 7, 4, 2], [And(-1 < v,v < 0), u = v, 1 < x, y = -x, z = 0], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-2, -2], [0, 0]]]], [[5,
6, 7, 4, 3], [And(-1 < v,v < 0), u = v, 1 < x, y = -x, 0 < z], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [2, 2], [-2, -2], [1, 1]]]], [[5, 9, 4, 3, 1], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152], [-3, -3]]]], [
[5, 9, 4, 3, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, 
And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152
], [-143717/131072, -1149735/1048576]]]], [[5, 9, 4, 3, 3], [And(-1 < v,v < 0)
, And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(
1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152], [0, 0]]]], [[5
, 9, 4, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(
-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [-1, -1], [-424157/2097152, -424157/2097152], [
1149735/1048576, 143717/131072]]]], [[5, 9, 4, 3, 5], [And(-1 < v,v < 0), And(
-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1, -1], [
-424157/2097152, -424157/2097152], [3, 3]]]], [[5, 10, 8, 4, 1], [And(-1 < v,v
< 0), u = (v^2+1)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1/2, -1/2],
[1172343/1048576, 146543/131072], [1, 1], [-1, -1], [-1, -1]]]], [[5, 10, 8, 4
, 2], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1, y = -1, z = 0], [
regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/131072], [1, 1], [-1, -\
1], [0, 0]]]], [[5, 10, 8, 4, 3], [And(-1 < v,v < 0), u = (v^2+1)^(1/2), x = 1
, y = -1, 0 < z], [regular_chain, [[-1/2, -1/2], [1172343/1048576, 146543/
131072], [1, 1], [-1, -1], [1, 1]]]], [[6, 1, 9, 4, 1], [v = 0, u < -2^(1/2),
And(1 < x,x < u^2-1), y = -x, z < 0], [regular_chain, [[0, 0], [-3, -3], [9/2,
9/2], [-9/2, -9/2], [-1, -1]]]], [[6, 1, 9, 4, 2], [v = 0, u < -2^(1/2), And(1
< x,x < u^2-1), y = -x, z = 0], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2],
[-9/2, -9/2], [0, 0]]]], [[6, 1, 9, 4, 3], [v = 0, u < -2^(1/2), And(1 < x,x <
u^2-1), y = -x, 0 < z], [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [-9/2,
-9/2], [1, 1]]]], [[6, 3, 3, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2
-1 < x,x < -1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [-\
95493/131072, -1527887/2097152], [-3, -3]]]], [[6, 3, 3, 2, 2], [v = 0, And(-2
^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y = -u^2-x-1, z = -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [-95493/131072, -1527887/2097152], [-410915/262144
, -3287319/2097152]]]], [[6, 3, 3, 2, 3], [v = 0, And(-2^(1/2) < u,u < -1), 
And(-u^2-1 < x,x < -1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2)
)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1812519/
1048576, -1812519/1048576], [-95493/131072, -1527887/2097152], [-1/4194304, -1
/4194304]]]], [[6, 3, 3, 2, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 <
x,x < -1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1812519/1048576, -1812519/1048576], [-\
95493/131072, -1527887/2097152], [1643659/1048576, 410915/262144]]]], [[6, 3,
3, 2, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(-u^2-1 < x,x < -1), y = -u^2-x
-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1812519/1048576, -1812519/1048576], [-95493/131072, -1527887/
2097152], [3, 3]]]], [[6, 9, 4, 4, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = -1,
y = 0, z < -1], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
-1, -1], [0, 0], [-2, -2]]]], [[6, 9, 4, 4, 2], [v = 0, And(1 < u,u < 2^(1/2))
, x = -1, y = 0, z = -1], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [-1, -1]]]], [[6, 9, 4, 4, 3], [v = 0, And(1 < u,u
< 2^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[6, 9, 4, 4,
4], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[0
, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[6, 9,
4, 4, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0],
[2, 2]]]], [[6, 10, 6, 7, 1], [v = 0, u = 2^(1/2), x = 0, 1 < y, z = z], [
regular_chain, [[0, 0], [741455/524288, 1482911/1048576], [0, 0], [2, 2], [0,
0]]]], [[7, 3, 7, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/1048576,
243021/1048576], [243021/2097152, 243021/2097152], [0, 0]]]], [[7, 5, 3, 3, 1]
, [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152],
[-106039/1048576, -106039/1048576], [-3, -3]]]], [[7, 5, 3, 3, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v
^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-2521309/2097152, -2521309/2097152], [-106039/
1048576, -106039/1048576], [-1197115/1048576, -598557/524288]]]], [[7, 5, 3, 3
, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/
2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [0, 0]]]], [[7
, 5, 3, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2
-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309/2097152, -\
2521309/2097152], [-106039/1048576, -106039/1048576], [598557/524288, 1197115/
1048576]]]], [[7, 5, 3, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-2521309
/2097152, -2521309/2097152], [-106039/1048576, -106039/1048576], [3, 3]]]], [[
8, 1, 9, 2, 1], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, z < u]
, [regular_chain, [[1, 1], [-3, -3], [4, 4], [-13, -13], [-4, -4]]]], [[8, 1,
9, 2, 2], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, z = u], [
regular_chain, [[1, 1], [-3, -3], [4, 4], [-13, -13], [-3, -3]]]], [[8, 1, 9,
2, 3], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, And(u < z,z < -
u)], [regular_chain, [[1, 1], [-3, -3], [4, 4], [-13, -13], [0, 0]]]], [[8, 1,
9, 2, 4], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [-3, -3], [4, 4], [-13, -13], [3, 3]]]], [[8, 1, 9, 2,
5], [v = 1, u < -3^(1/2), And(1 < x,x < u^2-2), y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-3, -3], [4, 4], [-13, -13], [4, 4]]]], [[8, 3, 2, 3,
1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(0 < y,y < u^2), z <
-(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304]
, [-2594959/1048576, -1297479/524288], [1297479/1048576, 1297479/1048576], [-3
, -3]]]], [[8, 3, 2, 3, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2,
And(0 < y,y < u^2), z = -(u^2-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [1297479/
1048576, 1297479/1048576], [-145801/131072, -1166407/1048576]]]], [[8, 3, 2, 3
, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, And(0 < y,y < u^2), 
And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [-6598195
/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [1297479/
1048576, 1297479/1048576], [0, 0]]]], [[8, 3, 2, 3, 4], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), x = -u^2, And(0 < y,y < u^2), z = (u^2-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-2594959/
1048576, -1297479/524288], [1297479/1048576, 1297479/1048576], [1166407/
1048576, 145801/131072]]]], [[8, 3, 2, 3, 5], [v = 1, And(-3^(1/2) < u,u < -2^
(1/2)), x = -u^2, And(0 < y,y < u^2), (u^2-y)^(1/2) < z], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288],
[1297479/1048576, 1297479/1048576], [3, 3]]]], [[8, 7, 9, 1, 1], [v = 1, And(-\
1 < u,u < 0), And(0 < x,x < 1), y < u^2-x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[8,
7, 9, 1, 2], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y < u^2-x-2, z = -(-
x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [-\
7846825/4194304, -980853/524288]]]], [[8, 7, 9, 1, 3], [v = 1, And(-1 < u,u <
0), And(0 < x,x < 1), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [0, 0]]]], [[8, 7,
9, 1, 4], [v = 1, And(-1 < u,u < 0), And(0 < x,x < 1), y < u^2-x-2, z = (-x-y)
^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [1/2, 1/2], [-4, -4], [980853/
524288, 1961707/1048576]]]], [[8, 7, 9, 1, 5], [v = 1, And(-1 < u,u < 0), And(
0 < x,x < 1), y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2,
-1/2], [1/2, 1/2], [-4, -4], [3, 3]]]], [[8, 9, 3, 9, 1], [v = 1, And(0 < u,u
< 1), And(u^2-2 < x,x < -1), -x < y, z = z], [regular_chain, [[1, 1], [1/2, 1/
2], [-11/8, -11/8], [3, 3], [0, 0]]]], [[8, 15, 4, 1, 1], [v = 1, 3^(1/2) < u,
x = -1, y < -u^2+1, z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1, -\
1], [-9, -9], [-5, -5]]]], [[8, 15, 4, 1, 2], [v = 1, 3^(1/2) < u, x = -1, y <
-u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-1, -1], [-9, -9]
, [-3315889/1048576, -207243/65536]]]], [[8, 15, 4, 1, 3], [v = 1, 3^(1/2) < u
, x = -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[1, 1], [3, 3], [-1, -1], [-9, -9], [0, 0]]]], [[8, 15, 4, 1, 4], [v = 1, 3^(
1/2) < u, x = -1, y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [3, 3
], [-1, -1], [-9, -9], [207243/65536, 3315889/1048576]]]], [[8, 15, 4, 1, 5],
[v = 1, 3^(1/2) < u, x = -1, y < -u^2+1, (1-y)^(1/2) < z], [regular_chain, [[1
, 1], [3, 3], [-1, -1], [-9, -9], [5, 5]]]], [[9, 1, 5, 9, 1], [And(1 < v,v <
2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [9
, 9], [0, 0]]]], [[9, 5, 9, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-33009611/16777216, -16504805/8388608], [-3, -3
]]]], [[9, 5, 9, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v
), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
1/2, 1/2], [-33009611/16777216, -16504805/8388608], [-1270261/1048576, -317565
/262144]]]], [[9, 5, 9, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [-33009611/16777216, -16504805
/8388608], [0, 0]]]], [[9, 5, 9, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-33009611/16777216, -16504805/8388608], [317565
/262144, 1270261/1048576]]]], [[9, 5, 9, 2, 5], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-33009611/16777216, -16504805/8388608
], [3, 3]]]], [[9, 7, 5, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-\
1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/524288, 299103
/1048576], [-2, -2]]]], [[9, 7, 5, 6, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,
u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/
524288, 299103/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 5, 6,
3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u
^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/524288, 299103
/1048576], [0, 0]]]], [[9, 7, 5, 6, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/
524288, 299103/1048576], [687203/1048576, 171801/262144]]]], [[9, 7, 5, 6, 5],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v
^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [149551/524288, 299103/1048576], [2, 2]]]], [[9, 9
, 8, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2))
, x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [-479311/1048576, -\
239655/524288], [-1, -1]]]], [[9, 9, 8, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [239655/524288, 
479311/1048576], [-479311/1048576, -239655/524288], [0, 0]]]], [[9, 9, 8, 4, 3
], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -u^
2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [239655/524288, 479311/1048576], [-479311/1048576, -239655/
524288], [1, 1]]]], [[9, 11, 3, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z < -(
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-5390713/4194304, -5390713/4194304], [448653/
1048576, 448653/1048576], [-2, -2]]]], [[9, 11, 3, 5, 2], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u
^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [448653/1048576, 448653/1048576], [-1941851/2097152, -7767403/
8388608]]]], [[9, 11, 3, 5, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -5390713/
4194304], [448653/1048576, 448653/1048576], [-3/16777216, -3/16777216]]]], [[9
, 11, 3, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2
-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-5390713/4194304, -5390713/4194304], [448653/1048576, 448653/
1048576], [970925/1048576, 485463/524288]]]], [[9, 11, 3, 5, 5], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(0 < y
,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-5390713/4194304, -\
5390713/4194304], [448653/1048576, 448653/1048576], [2, 2]]]], [[9, 15, 10, 1,
1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1,
y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [898327/524288, 898327/524288], [1, 1], [-5, -5], [-3, -3]]]], [[9,
15, 10, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-5, -5], [
-2, -2]]]], [[9, 15, 10, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [1, 1], [-5, -5], [0, 0]]]], [[9, 15, 10, 1, 4], [And(1 < v,v
< 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z
= (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [1, 1], [-5, -5], [2, 2]]]], [[9, 15, 10, 1, 5], [And(
1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+
v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [1, 1], [-5, -5], [3, 3]]]], [[9, 17, 3, 2, 1]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-10006449/2097152, -10006449/2097152], [-3954649/
1048576, -15818595/4194304], [-4, -4]]]], [[9, 17, 3, 2, 2], [And(1 < v,v < 2^
(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3
], [-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/
4194304], [-1532401/524288, -24518415/8388608]]]], [[9, 17, 3, 2, 3], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-\
1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [-3954649/1048576, -15818595/4194304], [-7/16777216, -7/16777216]]]]
, [[9, 17, 3, 2, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-u^2+v^2-\
1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152, -10006449/
2097152], [-3954649/1048576, -15818595/4194304], [3064801/1048576, 1532401/
524288]]]], [[9, 17, 3, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And
(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-10006449/2097152
, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [4, 4]]]], [[10,
5, 8, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, And(u^2-3 < y,y <
0), z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-1101539/4194304, -1101539/
4194304], [-2, -2]]]], [[10, 5, 8, 5, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), x = 0, And(u^2-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-\
1101539/4194304, -1101539/4194304], [-268683/524288, -1074731/2097152]]]], [[
10, 5, 8, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, And(u^2-3 < y,
y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0], [-1101539/
4194304, -1101539/4194304], [-1/4194304, -1/4194304]]]], [[10, 5, 8, 5, 4], [v
= 2^(1/2), And(-3^(1/2) < u,u < -v), x = 0, And(u^2-3 < y,y < 0), z = (-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-1101539/4194304, -1101539/4194304], [537365/
1048576, 268683/524288]]]], [[10, 5, 8, 5, 5], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), x = 0, And(u^2-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [0, 0],
[-1101539/4194304, -1101539/4194304], [2, 2]]]], [[10, 7, 5, 2, 1], [v = 2^(1/
2), And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, z < -(-u^2+3)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-426949/524288, -\
3415591/4194304], [-3, -3]]]], [[10, 7, 5, 2, 2], [v = 2^(1/2), And(-v < u,u <
-1), And(-1 < x,x < -u^2+1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-426949/524288, -3415591/4194304], [-\
1302471/1048576, -651235/524288]]]], [[10, 7, 5, 2, 3], [v = 2^(1/2), And(-v <
u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-
u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-426949/
524288, -3415591/4194304], [0, 0]]]], [[10, 7, 5, 2, 4], [v = 2^(1/2), And(-v
< u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-426949/524288, -3415591/
4194304], [651235/524288, 1302471/1048576]]]], [[10, 7, 5, 2, 5], [v = 2^(1/2)
, And(-v < u,u < -1), And(-1 < x,x < -u^2+1), y = u^2-x-3, (-u^2+3)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-426949/524288, -\
3415591/4194304], [3, 3]]]], [[10, 11, 8, 2, 1], [v = 2^(1/2), And(0 < u,u < 1
), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-7/2, -7/2], [-3, -3]]]], [
[10, 11, 8, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, y = 2*u^2-4, z
= -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1
/2], [3/4, 3/4], [-7/2, -7/2], [-1738867/1048576, -3477733/2097152]]]], [[10,
11, 8, 2, 3], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, y = 2*u^2-4, And(-(-
u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-7/2, -7/2], [-1/4194304, -1/
4194304]]]], [[10, 11, 8, 2, 4], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, y
= 2*u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/4, 3/4], [-7/2, -7/2], [869433/524288, 1738867/
1048576]]]], [[10, 11, 8, 2, 5], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, y
= 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/4, 3/4], [-7/2, -7/2], [3, 3]]]], [[10, 13, 3, 3, 1],
[v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
35579/262144, -35579/262144], [-3, -3]]]], [[10, 13, 3, 3, 2], [v = 2^(1/2), 
And(1 < u,u < v), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-2666417/2097152, -2666417/2097152], [-35579/262144, -35579
/262144], [-1243865/1048576, -155483/131072]]]], [[10, 13, 3, 3, 3], [v = 2^(1
/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [-35579/262144, -35579/262144], [0, 0]]]], [[10, 13, 3, 3, 4], [v =
2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-35579/
262144, -35579/262144], [155483/131072, 1243865/1048576]]]], [[10, 13, 3, 3, 5
], [v = 2^(1/2), And(1 < u,u < v), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
35579/262144, -35579/262144], [3, 3]]]], [[11, 3, 5, 8, 1], [2^(1/2) < v, And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z
= z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-1/2, -1
/2], [260583/262144, 1042333/1048576], [0, 0]]]], [[11, 4, 9, 7, 1], [2^(1/2)
< v, u = -(v^2+1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [2, 2], [1, 1], [0, 0]]]], [[11, 9, 7, 7, 1],
[2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(0 < x,x < -u^2+v
^2-1), And(0 < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [533035/2097152, 533035/2097152], [
133259/1048576, 133259/1048576], [0, 0]]]], [[11, 10, 9, 8, 1], [2^(1/2) < v,
u = -(v^2-2)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [2, 2], [0, 0], [0, 0]]]], [[11, 16, 7, 5, 1], [2^
(1/2) < v, u = v, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [
3, 3], [2, 2], [-1, -1], [0, 0]]]], [[11, 18, 3, 3, 1], [2^(1/2) < v, u = (v^2
+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/4,
-1/4], [-3, -3]]]], [[11, 18, 3, 3, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-\
2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192,
-1387135/1048576]]]], [[11, 18, 3, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And
(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/
4, -1/4], [0, 0]]]], [[11, 18, 3, 3, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(
-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3
], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/4, -1/4], [1387135/
1048576, 10837/8192]]]], [[11, 18, 3, 3, 5], [2^(1/2) < v, u = (v^2+1)^(1/2),
And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]],
[[1, 2, 2, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, 4 < y, z = z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [5, 5
], [0, 0]]]], [[1, 3, 11, 3, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-\
1702375/524288, -1702375/524288], [-3, -3]]]], [[1, 3, 11, 3, 2], [v < -2^(1/2
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288], [-1170947/
1048576, -585473/524288]]]], [[1, 3, 11, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288], [0, 0]]]], [[1,
3, 11, 3, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x
, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [2, 2], [-1702375/524288, -1702375/
524288], [585473/524288, 1170947/1048576]]]], [[1, 3, 11, 3, 5], [v < -2^(1/2)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811
/1048576], [2, 2], [-1702375/524288, -1702375/524288], [3, 3]]]], [[1, 7, 11,
6, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -x, z < 0], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-2, -\
2], [-1, -1]]]], [[1, 7, 11, 6, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2
)), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-2, -2], [0, 0]]]], [[1, 7, 11, 6, 3], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [2, 2], [-2, -2], [1, 1]]]], [[1, 9
, 10, 9, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1,
0 < y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [1, 1], [1, 1], [0, 0]]]], [[1, 15, 5, 1, 1], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-2, -2], [-3, -3]]]], [[1, 15, 5, 1, 2], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v
^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-1737703/
1048576, -3475405/2097152]]]], [[1, 15, 5, 1, 3], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [-1/4194304, -1/
4194304]]]], [[1, 15, 5, 1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/
524288], [-2, -2], [868851/524288, 1737703/1048576]]]], [[1, 15, 5, 1, 5], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y < u^2
-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [-2, -2], [3, 3]]]], [[1,
17, 5, 9, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2
-v^2-1), -x < y, z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [2, 2], [0, 0]]]], [[1, 21, 2,
7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z =
z], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [33, 33], [0, 0]]]], [[2, 1
, 9, 1, 1], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), y < -u^2-x+1, z < -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7
/2, 7/2], [-13, -13], [-5, -5]]]], [[2, 1, 9, 1, 2], [v = -2^(1/2), u < -2, 
And(1 < x,x < u^2-3), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-13, -13], [-3231929/
1048576, -403991/131072]]]], [[2, 1, 9, 1, 3], [v = -2^(1/2), u < -2, And(1 <
x,x < u^2-3), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-13
, -13], [0, 0]]]], [[2, 1, 9, 1, 4], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-\
3), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [7/2, 7/2], [-13, -13], [403991/131072, 3231929/
1048576]]]], [[2, 1, 9, 1, 5], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), y
< -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [7/2, 7/2], [-13, -13], [5, 5]]]], [[2, 10, 3, 9, 1], [v =
-2^(1/2), u = 0, And(-3 < x,x < -1), 1-x < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [4, 4], [0, 0]]]], [[2, 12
, 1, 3, 1], [v = -2^(1/2), u = 1, x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [1
/2, 1/2], [-3, -3]]]], [[2, 12, 1, 3, 2], [v = -2^(1/2), u = 1, x < -2, And(0
< y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [1, 1], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]],
[[2, 12, 1, 3, 3], [v = -2^(1/2), u = 1, x < -2, And(0 < y,y < -x-2), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3, -3], [1/2, 1/2], [0, 0]]]], [[2, 12, 1, 3, 4], [v = -2^(
1/2), u = 1, x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [1/2, 1/2], [207243/
131072, 1657945/1048576]]]], [[2, 12, 1, 3, 5], [v = -2^(1/2), u = 1, x < -2,
And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-3, -3], [1/2, 1/2], [3, 3]]]], [[2, 16, 1, 6, 1], [v
= -2^(1/2), u = 3^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [3, 3],
[-1, -1]]]], [[2, 16, 1, 6, 2], [v = -2^(1/2), u = 3^(1/2), x < -2, y = -x, z
= 0], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3, -3], [3, 3], [0, 0]]]], [[2, 16, 1, 6, 3], [v = -2^(1/2
), u = 3^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3, -3], [3, 3], [1, 1]]]],
[[2, 17, 11, 9, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, 0 < y, z = z
], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [2, 2], [1, 1], [0, 0]]]], [[3, 4, 2, 3, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-2, -2], [1, 1], [-2, -2]]]], [[3, 4, 2, 3, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-2, -2], [1, 1], [-1, -1]]]], [[3, 4, 2, 3, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2)
< z,z < (2-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-410915/262144, -3287319/2097152], [-2, -2], [1, 1], [0, 0]]]], [[3, 4, 2, 3,
4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z
= (2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-2, -2], [1, 1], [1, 1]]]], [[3, 4, 2, 3, 5
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, And(0 < y,y < 2), (2
-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-2, -2], [1, 1], [2, 2]]]], [[3, 6, 1, 4, 1
], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = -1-x, z < -1], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576],
[-2, -2], [1, 1], [-2, -2]]]], [[3, 6, 1, 4, 2], [And(-2^(1/2) < v,v < -1), u
= v, x < -1, y = -1-x, z = -1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [-1, -1]]]],
[[3, 6, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = -1-x, And(-1 <
z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [1, 1], [0, 0]]]], [[3, 6, 1, 4, 4], [
And(-2^(1/2) < v,v < -1), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [1, 1], [1, 1]]]], [[3, 6, 1, 4, 5], [And(-2^(1/2) < v,v < -1), u = v, x
< -1, y = -1-x, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [-2, -2], [1, 1], [2, 2]]]], [[3, 10, 1,
7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x < -2, -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [4, 4], [0, 0]]]], [[3, 12, 1, 1, 1], [And(-2^(1/2) < v,v
< -1), u = -v, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [-1,
-1], [-3, -3]]]], [[3, 12, 1, 1, 2], [And(-2^(1/2) < v,v < -1), u = -v, x < -1
, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[3, 12, 1, 1, 3], [And(-2^(1/2) < v,v < -1), u
= -v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2
, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[3, 12, 1, 1, 4], [And(-2^(1/2)
< v,v < -1), u = -v, x < -1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -\
2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[3, 12, 1, 1, 5], [And(-2^
(1/2) < v,v < -1), u = -v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2,
-2], [-1, -1], [3, 3]]]], [[3, 15, 3, 6, 1], [And(-2^(1/2) < v,v < -1), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-3647693/2097152, -3647693/2097152], [911923/524288, 1823847/
1048576], [-1, -1]]]], [[3, 15, 3, 6, 2], [And(-2^(1/2) < v,v < -1), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/524288, 1823847/1048576
], [0, 0]]]], [[3, 15, 3, 6, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [911923/524288, 1823847/1048576
], [1, 1]]]], [[3, 16, 9, 9, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
1 < x, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [2, 2], [1, 1], [0, 0]]]], [[4, 3, 4, 9, 1], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, u^2-1 < y, z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [3,
3], [0, 0]]]], [[4, 5, 4, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, 
And(-u^2+1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743
/1048576, -1265743/1048576], [-1, -1], [-239655/1048576, -239655/1048576], [-3
, -3]]]], [[4, 5, 4, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(-u^
2+1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-239655/1048576, -239655/1048576], [-\
1162243/1048576, -581121/524288]]]], [[4, 5, 4, 3, 3], [v = -1, And(-2^(1/2) <
u,u < -1), x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1],
[-239655/1048576, -239655/1048576], [0, 0]]]], [[4, 5, 4, 3, 4], [v = -1, And(
-2^(1/2) < u,u < -1), x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-\
239655/1048576, -239655/1048576], [581121/524288, 1162243/1048576]]]], [[4, 5,
4, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(-u^2+1 < y,y < 0), (1
-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [-1, -1], [-239655/1048576, -239655/1048576], [3, 3]]]], [[4, 11, 5, 3, 1],
[v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/
4194304], [-3, -3]]]], [[4, 11, 5, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), And
(-1 < x,x < u^2-2), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/
4194304], [-1437931/4194304, -1437931/4194304], [-553435/524288, -1106869/
1048576]]]], [[4, 11, 5, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x
< u^2-2), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-1437931/4194304, -1437931/4194304], [0, 0]]]], [
[4, 11, 5, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(
-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-1437931/
4194304, -1437931/4194304], [1106869/1048576, 553435/524288]]]], [[4, 11, 5, 3
, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(-u^2-x < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-1437931/4194304, -1437931/
4194304], [3, 3]]]], [[4, 13, 4, 6, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1, -1], [1, 1], [-1, -1]]]], [[4, 13, 4, 6, 2], [v = -1, And(2^(1/
2) < u,u < 3^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1, -1], [1, 1], [0, 0]]]], [[4, 13, 4, 6,
3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [1, 1]
, [1, 1]]]], [[5, 1, 8, 6, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1,
y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [0, 0], [0, 0]
]]], [[5, 3, 5, 9, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -\
1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [2, 2], [0, 0]]]], [[5,
12, 4, 2, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = -2, z < -3^(1
/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-2, -2], [-3, -3]]
]], [[5, 12, 4, 2, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = -2,
z = -3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-2, -2],
[-1816187/1048576, -3632373/2097152]]]], [[5, 12, 4, 2, 3], [And(-1 < v,v < 0)
, u = (v^2+2)^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-2, -2], [-1/4194304, -1/
4194304]]]], [[5, 12, 4, 2, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1,
y = -2, z = 3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-2
, -2], [908093/524288, 1816187/1048576]]]], [[5, 12, 4, 2, 5], [And(-1 < v,v <
0), u = (v^2+2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [3/2, 3/2], [-1, -1], [-2, -2], [3, 3]]]], [[6, 1, 1, 5, 1], [v = 0, u <
-2^(1/2), x < -u^2-1, And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-11, -11], [6, 6], [-4, -4]]]], [[6, 1, 1,
5, 2], [v = 0, u < -2^(1/2), x < -u^2-1, And(-u^2-x-1 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [6, 6], [-146543/65536
, -2344687/1048576]]]], [[6, 1, 1, 5, 3], [v = 0, u < -2^(1/2), x < -u^2-1, 
And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-3, -3], [-11, -11], [6, 6], [0, 0]]]], [[6, 1, 1, 5,
4], [v = 0, u < -2^(1/2), x < -u^2-1, And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [6, 6], [2344687/1048576,
146543/65536]]]], [[6, 1, 1, 5, 5], [v = 0, u < -2^(1/2), x < -u^2-1, And(-u^2
-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-11,
-11], [6, 6], [4, 4]]]], [[6, 4, 7, 1, 1], [v = 0, u = -1, And(0 < x,x < 1), y
< -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-4
, -4], [-3, -3]]]], [[6, 4, 7, 1, 2], [v = 0, u = -1, And(0 < x,x < 1), y < -x
-2, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-4, -4
], [-7846825/4194304, -980853/524288]]]], [[6, 4, 7, 1, 3], [v = 0, u = -1, 
And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-4, -4], [0, 0]]]], [[6, 4, 7,
1, 4], [v = 0, u = -1, And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-4, -4], [980853/524288, 
1961707/1048576]]]], [[6, 4, 7, 1, 5], [v = 0, u = -1, And(0 < x,x < 1), y < -
x-2, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-4, -4
], [3, 3]]]], [[6, 6, 6, 2, 1], [v = 0, u = 0, x = 1, y = -2, z < -1], [
regular_chain, [[0, 0], [0, 0], [1, 1], [-2, -2], [-2, -2]]]], [[6, 6, 6, 2, 2
], [v = 0, u = 0, x = 1, y = -2, z = -1], [regular_chain, [[0, 0], [0, 0], [1,
1], [-2, -2], [-1, -1]]]], [[6, 6, 6, 2, 3], [v = 0, u = 0, x = 1, y = -2, And
(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [1, 1], [-2, -2], [0, 0]]]],
[[6, 6, 6, 2, 4], [v = 0, u = 0, x = 1, y = -2, z = 1], [regular_chain, [[0, 0
], [0, 0], [1, 1], [-2, -2], [1, 1]]]], [[6, 6, 6, 2, 5], [v = 0, u = 0, x = 1
, y = -2, 1 < z], [regular_chain, [[0, 0], [0, 0], [1, 1], [-2, -2], [2, 2]]]]
, [[7, 1, 2, 3, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And
(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3, -3], [-39/4, -39/4], [39/8, 39/8], [-4, -4]]]], [[7, 1, 2, 3, 2], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z =
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4],
[39/8, 39/8], [-1157597/524288, -2315193/1048576]]]], [[7, 1, 2, 3, 3], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(
-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2
], [-3, -3], [-39/4, -39/4], [39/8, 39/8], [0, 0]]]], [[7, 1, 2, 3, 4], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z =
(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [
39/8, 39/8], [2315193/1048576, 1157597/524288]]]], [[7, 1, 2, 3, 5], [And(0 <
v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v
^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [39
/8, 39/8], [4, 4]]]], [[7, 2, 8, 6, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
x = 1, y = 0, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [0, 0
], [0, 0]]]], [[7, 6, 7, 2, 1], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, z
< -1], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [-2, -2]]]
], [[7, 6, 7, 2, 2], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, z = -1], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [-1, -1]]]], [[7,
6, 7, 2, 3], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [0, 0]]]], [[7, 6,
7, 2, 4], [And(0 < v,v < 1), u = -v, 1 < x, y = -1-x, z = 1], [regular_chain,
[[1/2, 1/2], [-1/2, -1/2], [2, 2], [-3, -3], [1, 1]]]], [[7, 6, 7, 2, 5], [And
(0 < v,v < 1), u = -v, 1 < x, y = -1-x, 1 < z], [regular_chain, [[1/2, 1/2], [
-1/2, -1/2], [2, 2], [-3, -3], [2, 2]]]], [[7, 9, 1, 3, 1], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z <
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152
], [-3, -3], [836497/1048576, 836497/1048576], [-3, -3]]]], [[7, 9, 1, 3, 2],
[And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y <
-u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576], [-\
1556087/1048576, -778043/524288]]]], [[7, 9, 1, 3, 3], [And(0 < v,v < 1), And(
v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-3, -3], [836497/1048576, 836497/1048576], [0, 0]]
]], [[7, 9, 1, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^
2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [836497/1048576, 836497/
1048576], [778043/524288, 1556087/1048576]]]], [[7, 9, 1, 3, 5], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [836497/1048576, 836497/1048576], [3, 3]]]], [[7, 11, 9, 5
, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2
-1 < x,x < 1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-\
2097155/4194304, -2097155/4194304], [0, 0]]]], [[7, 13, 6, 2, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-39/4, -39/4], [-5, -5]]]], [[7,
13, 6, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-39/4, -39/
4], [-1637089/524288, -3274177/1048576]]]], [[7, 13, 6, 2, 3], [And(0 < v,v <
1), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-39/4, -39/4
], [0, 0]]]], [[7, 13, 6, 2, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0,
y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [
0, 0], [-39/4, -39/4], [3274177/1048576, 1637089/524288]]]], [[7, 13, 6, 2, 5]
, [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-39/4, -39/4], [5, 5]]]
], [[8, 3, 10, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = u^2-3
, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1
], [-275385/524288, -1101539/2097152], [0, 0]]]], [[8, 5, 9, 5, 1], [v = 1, 
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [-1617841/2097152, -1617841/2097152], [-2, -2]]]], [[8, 5, 9, 5, 2], [
v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [1/2, 1/2], [-1617841/2097152, -1617841/2097152], [-273157/524288, -1092627
/2097152]]]], [[8, 5, 9, 5, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x
< 1), And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
1617841/2097152, -1617841/2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 9, 5,
4], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-1617841/2097152, -1617841/2097152], [546313/1048576, 
273157/524288]]]], [[8, 5, 9, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(0 <
x,x < 1), And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1617841/2097152, -1617841/
2097152], [2, 2]]]], [[8, 11, 11, 2, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x
, y = -u^2-x, z < -u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [-3625039/1048576, -1812519/524288], [-3, -3]]]], [[8, 11, 
11, 2, 2], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-3625039/
1048576, -1812519/524288], [-1265743/1048576, -1265743/1048576]]]], [[8, 11, 
11, 2, 3], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x, And(-u < z,z < u
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
3625039/1048576, -1812519/524288], [0, 0]]]], [[8, 11, 11, 2, 4], [v = 1, And(
1 < u,u < 2^(1/2)), 1 < x, y = -u^2-x, z = u], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [2, 2], [-3625039/1048576, -1812519/524288]
, [1265743/1048576, 1265743/1048576]]]], [[8, 11, 11, 2, 5], [v = 1, And(1 < u
,u < 2^(1/2)), 1 < x, y = -u^2-x, u < z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [2, 2], [-3625039/1048576, -1812519/524288], [3, 3]
]]], [[8, 13, 10, 1, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y < -u^2
-1, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [1, 1], [-5, -5], [-3, -3]]]], [[8, 13, 10, 1, 2], [v = 1, And(2^(1/
2) < u,u < 3^(1/2)), x = 1, y < -u^2-1, z = -(-y-1)^(1/2)], [regular_chain, [[
1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [-5, -5], [-2, -2]]]], [[8,
13, 10, 1, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y < -u^2-1, And(-(
-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [1, 1], [-5, -5], [0, 0]]]], [[8, 13, 10, 1, 4], [v = 1, And
(2^(1/2) < u,u < 3^(1/2)), x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [-5, -5],
[2, 2]]]], [[8, 13, 10, 1, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y
< -u^2-1, (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [1, 1], [-5, -5], [3, 3]]]], [[9, 2, 3, 3, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[9, 2, 3, 3,
2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3
< y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-1/2, -1/2], [-\
3315889/2097152, -207243/131072]]]], [[9, 2, 3, 3, 3], [And(1 < v,v < 2^(1/2))
, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [-2, -2], [-1/2, -1/2], [0, 0]]]], [[9
, 2, 3, 3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1)
, And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-1/2, -1/2]
, [207243/131072, 1657945/1048576]]]], [[9, 2, 3, 3, 5], [And(1 < v,v < 2^(1/2
)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[9, 3, 11, 2, 1], [And(
1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^
2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-2348135/524288, -\
4696269/1048576], [-3, -3]]]], [[9, 3, 11, 2, 2], [And(1 < v,v < 2^(1/2)), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [2, 2], [-2348135/524288, -4696269/1048576], [-\
3301741/2097152, -825435/524288]]]], [[9, 3, 11, 2, 3], [And(1 < v,v < 2^(1/2)
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-\
2348135/524288, -4696269/1048576], [0, 0]]]], [[9, 3, 11, 2, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-\
1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [2, 2], [-2348135/524288, -4696269/
1048576], [825435/524288, 1650871/1048576]]]], [[9, 3, 11, 2, 5], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [2, 2], [-2348135/524288, -4696269/
1048576], [3, 3]]]], [[9, 13, 3, 1, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-2, -2], [-3, -3]]]],
[[9, 13, 3, 1, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-2, -2], [-7542477/4194304, -1885619/
1048576]]]], [[9, 13, 3, 1, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [-2,
-2], [0, 0]]]], [[9, 13, 3, 1, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2
+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-2, -2], [1885619/1048576, 
471405/262144]]]], [[9, 13, 3, 1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [-2, -2], [3, 3]]]], [
[9, 15, 1, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [
8890573/2097152, 8890573/2097152], [0, 0]]]], [[10, 1, 5, 9, 1], [v = 2^(1/2),
u < -2, And(-1 < x,x < 0), u^2-x-3 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [8, 8], [0, 0]]]], [[10, 3,
3, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y <
-u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152],
[-2, -2], [-3, -3]]]], [[10, 3, 3, 1, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2
)), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-2, -2], [-4056255/2097152, -16225019/
8388608]]]], [[10, 3, 3, 1, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u
^2+1 < x,x < -1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-2, -2], [-3/16777216, -3/
16777216]]]], [[10, 3, 3, 1, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-
u^2+1 < x,x < -1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [-2, -2], [2028127/1048576, 63379/32768]]]], [[10,
3, 3, 1, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y
< -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-2, -2], [3, 3]]]], [[10, 9, 3, 2, 1], [v = 2^(1/2), And(-1 < u,u <
0), And(u^2-3 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [-7/8, -7/8],
[-3, -3]]]], [[10, 9, 3, 2, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x
,x < -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [-7/8, -7/8], [-1738867/
1048576, -3477733/2097152]]]], [[10, 9, 3, 2, 3], [v = 2^(1/2), And(-1 < u,u <
0), And(u^2-3 < x,x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/
8, -15/8], [-7/8, -7/8], [-1/4194304, -1/4194304]]]], [[10, 9, 3, 2, 4], [v =
2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8
, -15/8], [-7/8, -7/8], [869433/524288, 1738867/1048576]]]], [[10, 9, 3, 2, 5]
, [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = u^2-x-3, (-u^2+3
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[-15/8, -15/8], [-7/8, -7/8], [3, 3]]]], [[10, 10, 9, 1, 1], [v = 2^(1/2), u =
0, 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [2, 2], [-6, -6], [-3, -3]]]], [[10, 10, 9, 1, 2], [
v = 2^(1/2), u = 0, 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [2, 2], [-6, -6], [-2, -2]]]], [[10,
10, 9, 1, 3], [v = 2^(1/2), u = 0, 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2,
2], [-6, -6], [0, 0]]]], [[10, 10, 9, 1, 4], [v = 2^(1/2), u = 0, 1 < x, y < -
x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [2, 2], [-6, -6], [2, 2]]]], [[10, 10, 9, 1, 5], [v = 2^(1/2), u = 0, 1 <
x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [2, 2], [-6, -6], [3, 3]]]], [[10, 14, 7, 6, 1], [v = 2^(1/2
), u = v, 1 < x, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [741455/524288, 1482911/1048576], [2, 2], [0, 0], [0, 0]]]], [[10, 
16, 8, 3, 1], [v = 2^(1/2), u = 3^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[10, 16, 8, 3, 2], [v = 2^(1
/2), u = 3^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1, 1], [-2, -2], [-1, -1]]]], [[10, 16, 8, 3, 3], [v = 2^(1/2), u =
3^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1, 1], [-2, -2], [0, 0]]]], [[10, 16, 8, 3, 4], [v = 2^(1/2), u = 3
^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [-2, -2],
[1, 1]]]], [[10, 16, 8, 3, 5], [v = 2^(1/2), u = 3^(1/2), x = 1, And(-3 < y,y
< -1), (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [1, 1], [-2, -2], [2, 2]]]], [[10, 19, 5, 9,
1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), u^2-x-3 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [8, 8]
, [0, 0]]]], [[11, 1, 11, 8, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 <
x, y = 0, z = z], [regular_chain, [[3, 3], [-5, -5], [16, 16], [0, 0], [0, 0]]
]], [[11, 5, 9, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x
,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [1/2, 1/2], [-197471/262144, -197471/
262144], [-2, -2]]]], [[11, 5, 9, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,
u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-197471
/262144, -197471/262144], [-527729/1048576, -1055457/2097152]]]], [[11, 5, 9,
5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2
-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-197471/262144, -\
197471/262144], [-1/4194304, -1/4194304]]]], [[11, 5, 9, 5, 4], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[1/2, 1/2], [-197471/262144, -197471/262144], [32983/65536, 527729/1048576]]]]
, [[11, 5, 9, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x
< 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [1/2, 1/2], [-197471/262144, -197471/262144]
, [2, 2]]]], [[11, 7, 9, 9, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [1, 1], [0, 0]]]], [[11, 13, 4, 3, 1], [2^(1/2)
< v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0),
z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[-1, -1], [-395403/524288, -395403/524288], [-3, -3]]]], [[11, 13, 4, 3, 2], [
2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y
,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-1, -1], [-395403/524288, -395403/524288], [-347197/262144, -1388787
/1048576]]]], [[11, 13, 4, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2
-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [-\
395403/524288, -395403/524288], [0, 0]]]], [[11, 13, 4, 3, 4], [2^(1/2) < v, 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z =
(1-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1,
-1], [-395403/524288, -395403/524288], [1388787/1048576, 347197/262144]]]], [[
11, 13, 4, 3, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-1, -1], [-395403/524288, -395403/524288], [
3, 3]]]], [[11, 15, 3, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(
u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [-266003/1048576, -133001/524288], [-3, -3]]]], [[11, 15, 3, 2
, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y
= u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-657289/524288, -657289/524288], [-266003/1048576,
-133001/524288], [-1287385/1048576, -160923/131072]]]], [[11, 15, 3, 2, 3], [2
^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = u^2-v
^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288],
[-266003/1048576, -133001/524288], [0, 0]]]], [[11, 15, 3, 2, 4], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [-266003/1048576, -133001/524288],
[160923/131072, 1287385/1048576]]]], [[11, 15, 3, 2, 5], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
657289/524288, -657289/524288], [-266003/1048576, -133001/524288], [3, 3]]]],
[[11, 19, 4, 2, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-3,
-3]]]], [[11, 19, 4, 2, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [-1, -1], [-1566621/1048576, -391655/
262144], [-1655969/1048576, -3311937/2097152]]]], [[11, 19, 4, 2, 3], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [-1/
4194304, -1/4194304]]]], [[11, 19, 4, 2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [-\
1566621/1048576, -391655/262144], [51749/32768, 1655969/1048576]]]], [[11, 19,
4, 2, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y =
-u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1, -1], [-1566621/1048576, -391655/262144], [3, 3]]]], [[
11, 21, 1, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, z <
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [-1, -1], [-6, -6
]]]], [[11, 21, 1, 1, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y <
0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [-1, -1],
[-4570637/1048576, -1142659/262144]]]], [[11, 21, 1, 1, 3], [2^(1/2) < v, (v^2
+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[3, 3], [5, 5], [-18, -18], [-1, -1], [0, 0]]]], [[11, 21,
1, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, z = (-x-y)^(
1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [-1, -1], [1142659/262144,
4570637/1048576]]]], [[11, 21, 1, 1, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-18, -\
18], [-1, -1], [6, 6]]]], [[1, 5, 1, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), x < -u^2+v^2-1, -x < y, z = z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-3, -3], [4, 4], [0, 0]]]], [[1, 7, 3, 1, 1],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u
^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [-657289/524288, -657289/524288], [-2, -2], [-3, -3]]]], [[
1, 7, 3, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-2, -2]
, [-1891417/1048576, -7565667/4194304]]]], [[1, 7, 3, 1, 3], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-2, -2], [-3/
8388608, -3/8388608]]]], [[1, 7, 3, 1, 4], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [-2, -2], [236427/131072, 1891417/1048576]]]], [[1, 7
, 3, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-2, -2]
, [3, 3]]]], [[1, 10, 8, 6, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), x = 1, y =
0, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [1
, 1], [0, 0], [0, 0]]]], [[1, 12, 5, 9, 1], [v < -2^(1/2), u = (v^2-2)^(1/2),
And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1/2, -1/2], [3, 3], [0, 0]]]], [[1, 18, 4, 5, 1], [v <
-2^(1/2), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [1/2, 1/2
], [-2, -2]]]], [[1, 18, 4, 5, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, 
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[1, 18, 4, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1
), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 18, 4, 5, 4], [
v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [1/2, 1/2
], [741455/1048576, 46341/65536]]]], [[1, 18, 4, 5, 5], [v < -2^(1/2), u = (v^
2+1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3,
-3], [207243/65536, 3315889/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 20
, 3, 2, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z
< -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2
, -2], [-1, -1], [-3, -3]]]], [[1, 20, 3, 2, 2], [v < -2^(1/2), u = (v^2+2)^(1
/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 20, 3, 2, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(
-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3
, -3], [3477733/1048576, 1738867/524288], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[1, 20, 3, 2, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[1,
20, 3, 2, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3,
3^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-\
2, -2], [-1, -1], [3, 3]]]], [[2, 2, 6, 7, 1], [v = -2^(1/2), u = -2, x = 0, 1
< y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [0
, 0], [2, 2], [0, 0]]]], [[2, 4, 5, 2, 1], [v = -2^(1/2), u = -3^(1/2), And(-1
< x,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/2, -3/
2], [-3, -3]]]], [[2, 4, 5, 2, 2], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x <
0), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[2, 4, 5, 2, 3], [v = -2^(1/2), u = -3^(
1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[2, 4, 5, 2, 4], [v
= -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]
]]], [[2, 4, 5, 2, 5], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y = -x-\
2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[2
, 7, 6, 7, 1], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, u^2-1 < y, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [2, 2], [0, 0]]]], [[2, 9
, 6, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = 0, y < u^2-3, z < -(-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0],
[-4, -4], [-3, -3]]]], [[2, 9, 6, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), x =
0, y < u^2-3, z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [0, 0], [-4, -4], [-2, -2]]]], [[2, 9, 6, 1, 3], [v = -
2^(1/2), And(-1 < u,u < 0), x = 0, y < u^2-3, And(-(-y)^(1/2) < z,z < (-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0
], [-4, -4], [0, 0]]]], [[2, 9, 6, 1, 4], [v = -2^(1/2), And(-1 < u,u < 0), x
= 0, y < u^2-3, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [0, 0], [-4, -4], [2, 2]]]], [[2, 9, 6, 1, 5], [v = -2^
(1/2), And(-1 < u,u < 0), x = 0, y < u^2-3, (-y)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [0, 0], [-4, -4], [3, 3]]]],
[[2, 13, 3, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y
< u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [-2, -2], [-3, -3]]]], [[2, 13, 3, 1, 2], [v = -2^(1/2), And(1 < u,u
< -v), And(u^2-3 < x,x < -1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-2, -2], [-7586297/4194304, -948287/
524288]]]], [[2, 13, 3, 1, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x
,x < -1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-2, -2], [0, 0]]]], [[2, 13,
3, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y < u^2-x-3
, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-2,
-2], [948287/524288, 1896575/1048576]]]], [[2, 13, 3, 1, 5], [v = -2^(1/2), 
And(1 < u,u < -v), And(u^2-3 < x,x < -1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-2, -2], [3, 3]]]], [[2, 15,
3, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), -x <
y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [3, 3], [0, 0
]]]], [[3, 1, 7, 1, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 <
x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-11, -11], [-5, -5]]]], [[3
, 1, 7, 1, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1/2, 1/2], [-11, -11], [-3397775/1048576, -\
1698887/524288]]]], [[3, 1, 7, 1, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^
(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2,
1/2], [-11, -11], [0, 0]]]], [[3, 1, 7, 1, 4], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-\
11, -11], [1698887/524288, 3397775/1048576]]]], [[3, 1, 7, 1, 5], [And(-2^(1/2
) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
1/2, 1/2], [-11, -11], [5, 5]]]], [[3, 3, 4, 4, 1], [And(-2^(1/2) < v,v < -1),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [0, 0], [-2, -2]]]], [[3, 3, 4, 4, 2], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z
= -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1, -1], [0, 0], [-1, -1]]]], [[3, 3, 4, 4, 3],
[And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1,
y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [0, 0]]]],
[[3, 3, 4, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [1, 1]]]]
, [[3, 3, 4, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [0, 0], [2
, 2]]]], [[3, 7, 4, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(
1/2)), x = -1, And(-u^2+v^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [823391/1048576, 823391/1048576], [-2, -2]]]], [[3, 7, 4, 7, 2], [And(-2^
(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y <
1), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1, -1], [823391/1048576, 823391/
1048576], [-242963/524288, -485925/1048576]]]], [[3, 7, 4, 7, 3], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [823391/
1048576, 823391/1048576], [0, 0]]]], [[3, 7, 4, 7, 4], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), z = (1-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [823391/1048576, 823391/1048576], [
485925/1048576, 242963/524288]]]], [[3, 7, 4, 7, 5], [And(-2^(1/2) < v,v < -1)
, And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 1), (1-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-1, -1], [823391/1048576, 823391/1048576], [2, 2]]]], [[
3, 9, 4, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [-3, -3], [-3, -3]]]], [[3, 9, 4
, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)),
x = -1, y < u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [-3, -3], [-2, -2]]]], [[3, 9, 4, 1, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y
< u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [-3, -3], [0, 0]]]], [[3, 9, 4,
1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x
= -1, y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1, -1], [-3, -3], [2, 2]]]], [[3, 9, 4, 1, 5], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y
< u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1, -1], [-3, -3], [3, 3]]]], [[3, 17, 9, 6, 1], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152
, 7909297/2097152], [0, 0], [0, 0]]]], [[4, 2, 4, 9, 1], [v = -1, u = -3^(1/2)
, x = -1, 2 < y, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [3, 3], [0, 0]]]], [[4, 6, 2, 2, 1], [v = -1, u =
-1, x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [0,
0], [-2, -2]]]], [[4, 6, 2, 2, 2], [v = -1, u = -1, x = -1, y = 0, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [-1, -1], [0, 0], [-1, -1]]]], [[4, 6, 2,
2, 3], [v = -1, u = -1, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-\
1, -1], [-1, -1], [-1, -1], [0, 0], [0, 0]]]], [[4, 6, 2, 2, 4], [v = -1, u =
-1, x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [0,
0], [1, 1]]]], [[4, 6, 2, 2, 5], [v = -1, u = -1, x = -1, y = 0, 1 < z], [
regular_chain, [[-1, -1], [-1, -1], [-1, -1], [0, 0], [2, 2]]]], [[4, 8, 3, 5,
1], [v = -1, u = 0, And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[4,
8, 3, 5, 2], [v = -1, u = 0, And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [3/4, 3/4], [-\
1816187/2097152, -3632373/4194304]]]], [[4, 8, 3, 5, 3], [v = -1, u = 0, And(-\
2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/
8388608]]]], [[4, 8, 3, 5, 4], [v = -1, u = 0, And(-2 < x,x < -1), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [3/
4, 3/4], [908093/1048576, 454047/524288]]]], [[4, 8, 3, 5, 5], [v = -1, u = 0,
And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1
, -1], [0, 0], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[4, 14, 2, 3, 1], [v = -1
, u = 3^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[
-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [3/2, 3/2], [-3, -3]]]],
[[4, 14, 2, 3, 2], [v = -1, u = 3^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^
(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3],
[3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[4, 14, 2, 3, 3], [v = -1,
u = 3^(1/2), x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [3/2, 3
/2], [0, 0]]]], [[4, 14, 2, 3, 4], [v = -1, u = 3^(1/2), x = -3, And(0 < y,y <
3), z = (3-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[4, 14,
2, 3, 5], [v = -1, u = 3^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [3/2, 3/
2], [3, 3]]]], [[4, 15, 10, 6, 1], [v = -1, 3^(1/2) < u, x = u^2-2, y = 0, z =
z], [regular_chain, [[-1, -1], [3, 3], [7, 7], [0, 0], [0, 0]]]], [[5, 4, 4, 5
, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z < -(
1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576]
, [-1, -1], [1/2, 1/2], [-2, -2]]]], [[5, 4, 4, 5, 2], [And(-1 < v,v < 0), u =
-(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [1/2, 1/2], [-\
1482911/2097152, -741455/1048576]]]], [[5, 4, 4, 5, 3], [And(-1 < v,v < 0), u
= -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/
2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1,
-1], [1/2, 1/2], [0, 0]]]], [[5, 4, 4, 5, 4], [And(-1 < v,v < 0), u = -(v^2+1)
^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-146543/131072, -1172343/1048576], [-1, -1], [1/2, 1/2], [741455/1048576
, 46341/65536]]]], [[5, 4, 4, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x
= -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[5, 6, 3,
6, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]
]]], [[5, 6, 3, 6, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = -x, z
= 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [
0, 0]]]], [[5, 6, 3, 6, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y =
-x, 0 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1
/2], [1, 1]]]], [[5, 9, 7, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(
1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [-3, -3]]]], [
[5, 9, 7, 2, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^
2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [-1160525/1048576, -290131/262144], [-19417/16384, -1242687/1048576]
]]], [[5, 9, 7, 2, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152
], [-1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [
0, 0]]]], [[5, 9, 7, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [1242687/
1048576, 19417/16384]]]], [[5, 9, 7, 2, 5], [And(-1 < v,v < 0), And(-v < u,u <
(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [3, 3]
]]], [[5, 11, 6, 3, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[
-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [-1291597/1048576, -\
1291597/1048576], [-3, -3]]]], [[5, 11, 6, 3, 2], [And(-1 < v,v < 0), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0],
[-1291597/1048576, -1291597/1048576], [-1163761/1048576, -72735/65536]]]], [[5
, 11, 6, 3, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [-\
1291597/1048576, -1291597/1048576], [0, 0]]]], [[5, 11, 6, 3, 4], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y
< 0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [0, 0], [-1291597/1048576, -1291597/1048576], [72735/65536, 1163761/
1048576]]]], [[5, 11, 6, 3, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [-\
1291597/1048576, -1291597/1048576], [3, 3]]]], [[6, 1, 10, 3, 1], [v = 0, u <
-2^(1/2), x = u^2-1, And(-2*u^2 < y,y < -u^2+1), z < -(-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [8, 8], [-13, -13], [-4, -4]]]], [[6, 1, 10,
3, 2], [v = 0, u < -2^(1/2), x = u^2-1, And(-2*u^2 < y,y < -u^2+1), z = -(-u^2
-y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-13, -13], [-146543/
65536, -2344687/1048576]]]], [[6, 1, 10, 3, 3], [v = 0, u < -2^(1/2), x = u^2-\
1, And(-2*u^2 < y,y < -u^2+1), And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))
], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-13, -13], [0, 0]]]], [[6, 1, 
10, 3, 4], [v = 0, u < -2^(1/2), x = u^2-1, And(-2*u^2 < y,y < -u^2+1), z = (-
u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-13, -13], [
2344687/1048576, 146543/65536]]]], [[6, 1, 10, 3, 5], [v = 0, u < -2^(1/2), x
= u^2-1, And(-2*u^2 < y,y < -u^2+1), (-u^2-y+1)^(1/2) < z], [regular_chain, [[
0, 0], [-3, -3], [8, 8], [-13, -13], [4, 4]]]], [[6, 3, 7, 8, 1], [v = 0, And(
-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), y = u^2-x-1, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576,
239655/1048576], [239655/1048576, 29957/131072], [0, 0]]]], [[6, 9, 7, 3, 1],
[v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [239655/1048576, 239655/1048576], [-6111545/4194304, -6111545/
4194304], [-3, -3]]]], [[6, 9, 7, 3, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(0
< x,x < u^2-1), And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576],
[-6111545/4194304, -6111545/4194304], [-1162243/1048576, -581121/524288]]]], [
[6, 9, 7, 3, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(-u^
2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576],
[-6111545/4194304, -6111545/4194304], [0, 0]]]], [[6, 9, 7, 3, 4], [v = 0, And
(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x), z = (-x-y
)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655
/1048576, 239655/1048576], [-6111545/4194304, -6111545/4194304], [581121/
524288, 1162243/1048576]]]], [[6, 9, 7, 3, 5], [v = 0, And(1 < u,u < 2^(1/2)),
And(0 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 
239655/1048576], [-6111545/4194304, -6111545/4194304], [3, 3]]]], [[6, 11, 4,
6, 1], [v = 0, 2^(1/2) < u, x = -1, y = 1, z < 0], [regular_chain, [[0, 0], [3
, 3], [-1, -1], [1, 1], [-1, -1]]]], [[6, 11, 4, 6, 2], [v = 0, 2^(1/2) < u, x
= -1, y = 1, z = 0], [regular_chain, [[0, 0], [3, 3], [-1, -1], [1, 1], [0, 0]
]]], [[6, 11, 4, 6, 3], [v = 0, 2^(1/2) < u, x = -1, y = 1, 0 < z], [
regular_chain, [[0, 0], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[7, 3, 8, 6, 1],
[And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1,
y = 0, z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[243021/524288, 486043/1048576], [0, 0], [0, 0]]]], [[7, 5, 7, 9, 1], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), -x < y, z
= z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [2, 2], [0, 0]]]], [[8, 1, 4, 5, 1], [v =
1, u < -3^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain,
[[1, 1], [-3, -3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[8, 1, 4, 5, 2], [v = 1
, u < -3^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [
[1, 1], [-3, -3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]]
, [[8, 1, 4, 5, 3], [v = 1, u < -3^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [1/
2, 1/2], [0, 0]]]], [[8, 1, 4, 5, 4], [v = 1, u < -3^(1/2), x = -1, And(0 < y,
y < 1), z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [1/2, 1
/2], [741455/1048576, 46341/65536]]]], [[8, 1, 4, 5, 5], [v = 1, u < -3^(1/2),
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3],
[-1, -1], [1/2, 1/2], [2, 2]]]], [[8, 3, 1, 4, 1], [v = 1, And(-3^(1/2) < u,u
< -2^(1/2)), x < -u^2, y = -u^2-x, z < u], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-4, -4], [1599345/1048576, 799673/524288], [-3, -\
3]]]], [[8, 3, 1, 4, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y =
-u^2-x, z = u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[-4, -4], [1599345/1048576, 799673/524288], [-1649549/1048576, -3299097/
2097152]]]], [[8, 3, 1, 4, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^
2, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [-4, -4], [1599345/1048576, 799673/524288], [-1/4194304, -1
/4194304]]]], [[8, 3, 1, 4, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u
^2, y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [1599345/1048576, 799673/524288], [412387/262144, 1649549/
1048576]]]], [[8, 3, 1, 4, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^
2, y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [1599345/1048576, 799673/524288], [3, 3]]]], [[8, 7, 2, 2,
1], [v = 1, And(-1 < u,u < 0), x = u^2-2, y = 0, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [0, 0], [-3, -3]]]], [[8,
7, 2, 2, 2], [v = 1, And(-1 < u,u < 0), x = u^2-2, y = 0, z = -(-u^2+2)^(1/2)]
, [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [0, 0], [-10837/8192, -\
1387135/1048576]]]], [[8, 7, 2, 2, 3], [v = 1, And(-1 < u,u < 0), x = u^2-2, y
= 0, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-\
1/2, -1/2], [-7/4, -7/4], [0, 0], [0, 0]]]], [[8, 7, 2, 2, 4], [v = 1, And(-1
< u,u < 0), x = u^2-2, y = 0, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-\
1/2, -1/2], [-7/4, -7/4], [0, 0], [1387135/1048576, 10837/8192]]]], [[8, 7, 2,
2, 5], [v = 1, And(-1 < u,u < 0), x = u^2-2, y = 0, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [0, 0], [3, 3]]]], [[8, 9,
1, 1, 1], [v = 1, And(0 < u,u < 1), x < u^2-2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-1, -1], [-3, -3]]]], [[8, 9, 1
, 1, 2], [v = 1, And(0 < u,u < 1), x < u^2-2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-1, -1], [-2, -2]]]], [[8, 9, 1
, 1, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-1, -1], [0, 0
]]]], [[8, 9, 1, 1, 4], [v = 1, And(0 < u,u < 1), x < u^2-2, y < 0, z = (-x-y)
^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-1, -1], [2, 2]]]], [
[8, 9, 1, 1, 5], [v = 1, And(0 < u,u < 1), x < u^2-2, y < 0, (-x-y)^(1/2) < z]
, [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [-1, -1], [3, 3]]]], [[8, 14,
8, 2, 1], [v = 1, u = 3^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [
[1, 1], [908093/524288, 1816187/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[8,
14, 8, 2, 2], [v = 1, u = 3^(1/2), x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [-4, -4], [-\
1816187/1048576, -3632373/2097152]]]], [[8, 14, 8, 2, 3], [v = 1, u = 3^(1/2),
x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]]
, [[8, 14, 8, 2, 4], [v = 1, u = 3^(1/2), x = 1, y = -4, z = 3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[8, 14, 8, 2, 5], [v = 1, u = 3^(1/2), x
= 1, y = -4, 3^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1, 1], [-4, -4], [3, 3]]]], [[9, 1, 5, 1, 1], [And(1 < v,v < 2^(1/2
)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2]
, [-10, -10], [-5, -5]]]], [[9, 1, 5, 1, 2], [And(1 < v,v < 2^(1/2)), u < -(v^
2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [-\
10, -10], [-3397775/1048576, -1698887/524288]]]], [[9, 1, 5, 1, 3], [And(1 < v
,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3, -3], [-1/2, -1/2], [-10, -10], [0, 0]]]], [[9, 1, 5, 1, 4], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3
, -3], [-1/2, -1/2], [-10, -10], [1698887/524288, 3397775/1048576]]]], [[9, 1,
5, 1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1/2, -1/2], [-10, -10], [5, 5]]]], [[9, 5, 2, 3, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0
< y,y < 2*u^2-2*v^2), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [980473/2097152, 980473/2097152], [-3, -3]]]], [[9,
5, 2, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2
+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [980473/2097152, 980473/2097152], [-1048577/
1048576, -1]]]], [[9, 5, 2, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1
/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/
262144], [980473/2097152, 980473/2097152], [0, 0]]]], [[9, 5, 2, 3, 4], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y
< 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -\
384703/262144], [980473/2097152, 980473/2097152], [1, 1048577/1048576]]]], [[9
, 5, 2, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u
^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2-y+1)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1538813/1048576, -384703/262144], [980473/2097152, 980473/2097152], [3, 3]]]]
, [[9, 7, 2, 7, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x
= u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -\
1646781/1048576], [3, 3], [0, 0]]]], [[9, 9, 11, 3, 1], [And(1 < v,v < 2^(1/2)
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [2, 2], [-3385383/1048576, -3385383/1048576], [-3, -3]]]], [[9, 9, 11,
3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 <
x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [-3385383/1048576, -3385383/1048576
], [-1162243/1048576, -581121/524288]]]], [[9, 9, 11, 3, 3], [And(1 < v,v < 2^
(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [-3385383/1048576, -3385383/1048576
], [0, 0]]]], [[9, 9, 11, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-3385383/
1048576, -3385383/1048576], [581121/524288, 1162243/1048576]]]], [[9, 9, 11, 3
, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 <
x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [-3385383/1048576, -3385383/1048576
], [3, 3]]]], [[9, 11, 10, 2, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [
-2695357/1048576, -5390713/2097152], [-3, -3]]]], [[9, 11, 10, 2, 2], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z = -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [1, 1], [-2695357/1048576, -5390713/2097152], [-\
1314069/1048576, -328517/262144]]]], [[9, 11, 10, 2, 3], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2
) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [-2695357/1048576, -\
5390713/2097152], [0, 0]]]], [[9, 11, 10, 2, 4], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-2695357/1048576, -5390713/2097152], [328517/262144, 
1314069/1048576]]]], [[9, 11, 10, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-2695357/1048576, -5390713/2097152], [3, 3]]]], [[9, 15, 10
, 9, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [1, 1], [0, 0]]]], [[9, 17, 7, 8, 1], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = u^2-v^2-x-1,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2
], [6336433/1048576, 3168217/524288], [0, 0]]]], [[10, 5, 11, 4, 1], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), 1 < x, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [2, 2], [-1323961/524288, -5295843/2097152], [-2, -2]]]], [[10, 5, 
11, 4, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y = u^2-x-3, z = -(-
u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [2, 2], [-1323961/524288, -5295843/2097152], [-\
379975/524288, -1519899/2097152]]]], [[10, 5, 11, 4, 3], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-1323961/524288, -5295843/2097152], [-1/4194304, -1
/4194304]]]], [[10, 5, 11, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 <
x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-1323961/524288, -\
5295843/2097152], [759949/1048576, 379975/524288]]]], [[10, 5, 11, 4, 5], [v =
2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [2, 2], [-1323961/524288, -5295843/2097152], [2, 2]]]], [[10, 7, 11,
8, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y = 0, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2
], [0, 0], [0, 0]]]], [[10, 11, 9, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), And(
-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-9/4, -9/4], [-3
, -3]]]], [[10, 11, 9, 3, 2], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x
< 1), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-9/4, -9/4], [-1229565/
1048576, -307391/262144]]]], [[10, 11, 9, 3, 3], [v = 2^(1/2), And(0 < u,u < 1
), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[7/8, 7/8], [-9/4, -9/4], [0, 0]]]], [[10, 11, 9, 3, 4], [v = 2^(1/2), And(0 <
u,u < 1), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-9/
4, -9/4], [307391/262144, 1229565/1048576]]]], [[10, 11, 9, 3, 5], [v = 2^(1/2
), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8,
7/8], [-9/4, -9/4], [3, 3]]]], [[10, 13, 7, 9, 1], [v = 2^(1/2), And(1 < u,u <
v), And(-u^2+1 < x,x < 0), -x < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [2, 2], [0, 0]]]], [[11, 3, 1, 2, 1], [2^(1/2) < v, And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [0, 0]
, [-3, -3]]]], [[11, 3, 1, 2, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3]
, [-3396811/1048576, -3396811/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[11, 3
, 1, 2, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2
+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [-4, -4], [0, 0], [0, 0]]]], [[11, 3, 1,
2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-\
1, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [0, 0], [2, 2]]]], [[11, 3, 1, 2, 5], [2^(1/2) < v
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2
) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4
], [0, 0], [3, 3]]]], [[11, 4, 8, 6, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
1, y = 0, z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[1, 1], [0, 0], [0, 0]]]], [[11, 9, 1, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-1,
-1], [-4, -4]]]], [[11, 9, 1, 1, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-1, -1], [-146543/
65536, -2344687/1048576]]]], [[11, 9, 1, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-4, -4], [-1, -1], [0, 0]]]], [[11, 9, 1, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [-1,
-1], [2344687/1048576, 146543/65536]]]], [[11, 9, 1, 1, 5], [2^(1/2) < v, And(
-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z
], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4],
[-1, -1], [4, 4]]]], [[11, 10, 6, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
0, 1 < y, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576
], [0, 0], [2, 2], [0, 0]]]], [[11, 16, 1, 3, 1], [2^(1/2) < v, u = v, x < -1,
And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2,
-2], [1/2, 1/2], [-3, -3]]]], [[11, 16, 1, 3, 2], [2^(1/2) < v, u = v, x < -1,
And(0 < y,y < -1-x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2,
-2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]], [[11, 16, 1, 3, 3], [2
^(1/2) < v, u = v, x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1/2, 1/2], [0, 0]]]],
[[11, 16, 1, 3, 4], [2^(1/2) < v, u = v, x < -1, And(0 < y,y < -1-x), z = (-x-
y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1/2, 1/2], [642119/
524288, 1284239/1048576]]]], [[11, 16, 1, 3, 5], [2^(1/2) < v, u = v, x < -1,
And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-2,
-2], [1/2, 1/2], [3, 3]]]], [[11, 18, 1, 7, 1], [2^(1/2) < v, u = (v^2+1)^(1/2
), x < -2, -x < y, z = z], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-3, -3], [4, 4], [0, 0]]]], [[11, 21, 10, 2, 1], [2^(1/2) < v, (v^2
+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [15, 15], [-32, -32], [-6, -6]]]], [[11, 21, 
10, 2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [15, 15], [-32, -32],
[-2161695/524288, -4323389/1048576]]]], [[11, 21, 10, 2, 3], [2^(1/2) < v, (v^
2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [15, 15], [-32, -32],
[0, 0]]]], [[11, 21, 10, 2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1
, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [
15, 15], [-32, -32], [4323389/1048576, 2161695/524288]]]], [[11, 21, 10, 2, 5]
, [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1
)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [15, 15], [-32, -32], [6, 6]]]]
, [[1, 2, 2, 6, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, y = 4, z = z],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [4,
4], [0, 0]]]], [[1, 3, 11, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-\
4712349/1048576, -1178087/262144], [-3, -3]]]], [[1, 3, 11, 2, 2], [v < -2^(1/
2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [2, 2], [-4712349/1048576, -1178087/262144], [-1655969/1048576, -\
3311937/2097152]]]], [[1, 3, 11, 2, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [2, 2], [-4712349/1048576, -1178087/262144], [-1/4194304, -1/4194304
]]]], [[1, 3, 11, 2, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -\
3], [-3396811/1048576, -3396811/1048576], [2, 2], [-4712349/1048576, -1178087/
262144], [51749/32768, 1655969/1048576]]]], [[1, 3, 11, 2, 5], [v < -2^(1/2),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [2, 2], [-4712349/1048576, -1178087/262144], [3, 3]]]], [[1, 7, 11, 7, 1], [
v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-x < y,y < 0), z = z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-1,
-1], [0, 0]]]], [[1, 9, 11, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [-6, -6], [-3, -3]]]]
, [[1, 9, 11, 1, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2))
, 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-6, -6], [-2, -2]]]], [[1, 9, 
11, 1, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y
< u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [2, 2], [-6, -6], [0, 0]]]], [[1,
9, 11, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x
, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [2, 2], [-6, -6], [2, 2]]]], [[1, 9, 11, 1, 5], [
v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y < u^2-v^2-x
-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [2, 2], [-6, -6], [3, 3]]]], [[1, 15, 4, 9, 1], [v < -2^(1/
2), And((v^2-1)^(1/2) < u,u < -v), x = -1, 1 < y, z = z], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [2, 2], [0, 0]]]], [[1, 
17, 5, 8, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2
-v^2-1), y = -x, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [197471/262144, 789885/1048576]
, [-1, -1]]]], [[1, 17, 5, 8, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2))
, And(-1 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [197471/
262144, 789885/1048576], [0, 0]]]], [[1, 17, 5, 8, 3], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1579769/2097152, -\
1579769/2097152], [197471/262144, 789885/1048576], [1, 1]]]], [[1, 21, 3, 1, 1
], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-
x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [-9, -9]
, [-6, -6]]]], [[1, 21, 3, 1, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v
^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [5, 5], [-9, -9], [-9, -9], [-1112183/262144, -4448731/1048576]]]], [[1,
21, 3, 1, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y
< -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3
, -3], [5, 5], [-9, -9], [-9, -9], [0, 0]]]], [[1, 21, 3, 1, 4], [v < -2^(1/2)
, (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^
(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [-9, -9], [4448731/
1048576, 1112183/262144]]]], [[1, 21, 3, 1, 5], [v < -2^(1/2), (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [-9, -9], [-9, -9], [6, 6]]]], [[2, 1, 9, 2,
1], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), y = -u^2-x+1, z < -(u^2-1)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2
], [-23/2, -23/2], [-4, -4]]]], [[2, 1, 9, 2, 2], [v = -2^(1/2), u < -2, And(1
< x,x < u^2-3), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-23/2, -23/2], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 9, 2, 3], [v = -2^(1/2), u < -2, And(1
< x,x < u^2-3), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-23
/2, -23/2], [-3/8388608, -3/8388608]]]], [[2, 1, 9, 2, 4], [v = -2^(1/2), u <
-2, And(1 < x,x < u^2-3), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-23/2, -23/2], [
741455/262144, 2965821/1048576]]]], [[2, 1, 9, 2, 5], [v = -2^(1/2), u < -2, 
And(1 < x,x < u^2-3), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-23/2, -23/2], [4, 4]
]]], [[2, 10, 3, 8, 1], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y = 1-x, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [3,
3], [0, 0]]]], [[2, 12, 1, 2, 1], [v = -2^(1/2), u = 1, x < -2, y = 0, z < -(-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -\
3], [0, 0], [-3, -3]]]], [[2, 12, 1, 2, 2], [v = -2^(1/2), u = 1, x < -2, y =
0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[2, 12, 1, 2,
3], [v = -2^(1/2), u = 1, x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [0, 0],
[-1/4194304, -1/4194304]]]], [[2, 12, 1, 2, 4], [v = -2^(1/2), u = 1, x < -2,
y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1, 1], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[2, 12, 1, 2, 5
], [v = -2^(1/2), u = 1, x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-3, -3], [0, 0], [3, 3]]]], [[2, 16
, 1, 7, 1], [v = -2^(1/2), u = 3^(1/2), x < -2, -x < y, z = z], [regular_chain
, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3,
-3], [4, 4], [0, 0]]]], [[2, 18, 1, 1, 1], [v = -2^(1/2), u = 2, x < -3, y < 0
, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2,
2], [-4, -4], [-1, -1], [-4, -4]]]], [[2, 18, 1, 1, 2], [v = -2^(1/2), u = 2,
x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [2, 2], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[
2, 18, 1, 1, 3], [v = -2^(1/2), u = 2, x < -3, y < 0, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-4, -4], [-1, -1], [0, 0]]]], [[2, 18, 1, 1, 4], [v = -2^(1/2), u = 2, x < -3
, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [2, 2], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[2, 18, 1,
1, 5], [v = -2^(1/2), u = 2, x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [-1, -1], [4, 4]]]], [[
3, 4, 2, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y = 0,
z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915
/262144, -3287319/2097152], [-2, -2], [0, 0], [-3, -3]]]], [[3, 4, 2, 2, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[3
, 4, 2, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y = 0, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-2, -2], [0, 0], [0, 0]]]], [[3
, 4, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y = 0, z
= 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]
]], [[3, 4, 2, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y
= 0, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-2, -2], [0, 0], [3, 3]]]], [[3, 6, 1, 3, 1
], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[3, 6, 1, 3, 2
], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/
524288]]]], [[3, 6, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(0
< y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [1/2, 1/2], [0, 0]]]], [[3, 6, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u = v
, x < -1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [1
/2, 1/2], [642119/524288, 1284239/1048576]]]], [[3, 6, 1, 3, 5], [And(-2^(1/2)
< v,v < -1), u = v, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [1/2, 1/2], [3, 3]]]], [[3, 10, 2, 1, 1], [And(-2^
(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[3, 10, 2, 1, 2], [And(-2^(1/2) <
v,v < -1), u = (v^2-1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2,
-2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[3, 10, 2, 1, 3], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) <
z,z < (2-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]
], [[3, 10, 2, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, y
< 0, z = (2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/
1048576]]]], [[3, 10, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[3,
12, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, y = 0, z < -(-x)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[3, 12, 1, 2, 2], [And(-2^(1
/2) < v,v < -1), u = -v, x < -1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -\
2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[3, 12, 1, 2, 3], [And(-2^
(1/2) < v,v < -1), u = -v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [0, 0], [0, 0]]]], [[3, 12, 1, 2, 4], [And(-2^(1/2
) < v,v < -1), u = -v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -\
2], [0, 0], [741455/524288, 1482911/1048576]]]], [[3, 12, 1, 2, 5], [And(-2^(1
/2) < v,v < -1), u = -v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -\
2], [0, 0], [3, 3]]]], [[3, 15, 3, 7, 1], [And(-2^(1/2) < v,v < -1), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^
2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [2074829/
1048576, 2074829/1048576], [0, 0]]]], [[3, 17, 1, 1, 1], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-1,
-1], [-5, -5]]]], [[3, 17, 1, 1, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10, -10], [-1, -1], [-1738867/524288, -\
3477733/1048576]]]], [[3, 17, 1, 1, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [-10, -10], [-1,
-1], [0, 0]]]], [[3, 17, 1, 1, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) <
u, x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10, -10], [-1, -1], [3477733/1048576, 
1738867/524288]]]], [[3, 17, 1, 1, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2
) < u, x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [-10, -10], [-1, -1], [5, 5]]]], [[4, 3, 4
, 8, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = u^2-1, z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [
773191/524288, 1546383/1048576], [0, 0]]]], [[4, 5, 4, 2, 1], [v = -1, And(-2^
(1/2) < u,u < -1), x = -1, y = -u^2+1, z < u], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288
], [-3, -3]]]], [[4, 5, 4, 2, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y
= -u^2+1, z = u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [-479311/1048576, -239655/524288], [-1265743/1048576, -\
1265743/1048576]]]], [[4, 5, 4, 2, 3], [v = -1, And(-2^(1/2) < u,u < -1), x =
-1, y = -u^2+1, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288], [0, 0
]]]], [[4, 5, 4, 2, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y = -u^2+1,
z = -u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1,
-1], [-479311/1048576, -239655/524288], [1265743/1048576, 1265743/1048576]]]],
[[4, 5, 4, 2, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y = -u^2+1, -u <
z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1],
[-479311/1048576, -239655/524288], [3, 3]]]], [[4, 11, 5, 4, 1], [v = -1, And(
1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [0, 0], [-2, -2]]]], [[4, 11, 5, 4, 2], [v = -1, 
And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [0, 0], [-7367887/8388608, -3683943/4194304]]]], [
[4, 11, 5, 4, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [0, 0], [-3/
8388608, -3/8388608]]]], [[4, 11, 5, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), 
And(-1 < x,x < u^2-2), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [0, 0
], [920985/1048576, 460493/524288]]]], [[4, 11, 5, 4, 5], [v = -1, And(1 < u,u
< 2^(1/2)), And(-1 < x,x < u^2-2), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1, -1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/
4194304], [0, 0], [2, 2]]]], [[4, 13, 4, 7, 1], [v = -1, And(2^(1/2) < u,u < 3
^(1/2)), x = -1, And(1 < y,y < u^2-1), z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1, -1], [2594957/2097152, 2594957/2097152
], [0, 0]]]], [[5, 1, 8, 5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1,
And(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-\
1/2, -1/2], [0, 0]]]], [[5, 3, 5, 8, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[505165/524288, 1010331/1048576], [0, 0]]]], [[5, 12, 4, 3, 1], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-1, -1], [-3, -3]]]], [[5
, 12, 4, 3, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-\
1, -1], [-1482911/1048576, -741455/524288]]]], [[5, 12, 4, 3, 3], [And(-1 < v,
v < 0), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-1, -1],
[0, 0]]]], [[5, 12, 4, 3, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, 
And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2]
, [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[5, 12, 4, 3, 5],
[And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-1, -1], [3, 3]]]]
, [[6, 1, 1, 6, 1], [v = 0, u < -2^(1/2), x < -u^2-1, y = -x, z < 0], [
regular_chain, [[0, 0], [-3, -3], [-11, -11], [11, 11], [-1, -1]]]], [[6, 1, 1
, 6, 2], [v = 0, u < -2^(1/2), x < -u^2-1, y = -x, z = 0], [regular_chain, [[0
, 0], [-3, -3], [-11, -11], [11, 11], [0, 0]]]], [[6, 1, 1, 6, 3], [v = 0, u <
-2^(1/2), x < -u^2-1, y = -x, 0 < z], [regular_chain, [[0, 0], [-3, -3], [-11,
-11], [11, 11], [1, 1]]]], [[6, 4, 6, 5, 1], [v = 0, u = -1, x = 0, 0 < y, z =
z], [regular_chain, [[0, 0], [-1, -1], [0, 0], [1, 1], [0, 0]]]], [[6, 6, 6, 1
, 1], [v = 0, u = 0, x = 1, y < -2, z < -(-y-1)^(1/2)], [regular_chain, [[0, 0
], [0, 0], [1, 1], [-3, -3], [-3, -3]]]], [[6, 6, 6, 1, 2], [v = 0, u = 0, x =
1, y < -2, z = -(-y-1)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1, 1], [-3, -\
3], [-1482911/1048576, -741455/524288]]]], [[6, 6, 6, 1, 3], [v = 0, u = 0, x
= 1, y < -2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0]
, [0, 0], [1, 1], [-3, -3], [0, 0]]]], [[6, 6, 6, 1, 4], [v = 0, u = 0, x = 1,
y < -2, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1, 1], [-3, -3],
[741455/524288, 1482911/1048576]]]], [[6, 6, 6, 1, 5], [v = 0, u = 0, x = 1, y
< -2, (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [1, 1], [-3, -3], [3
, 3]]]], [[7, 1, 2, 4, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2
-1, y = u^2-v^2+1, z < 0], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/
4], [39/4, 39/4], [-1, -1]]]], [[7, 1, 2, 4, 2], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[1/2, 1/2],
[-3, -3], [-39/4, -39/4], [39/4, 39/4], [0, 0]]]], [[7, 1, 2, 4, 3], [And(0 <
v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [39/4, 39/4], [1, 1]]]],
[[7, 2, 8, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, 0 < y, z = z],
[regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [1, 1], [0, 0]]]], [[7, 6,
7, 1, 1], [And(0 < v,v < 1), u = -v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-4, -4], [-3, -3]]]], [[7,
6, 7, 1, 2], [And(0 < v,v < 1), u = -v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-4, -4], [-1482911/1048576,
-741455/524288]]]], [[7, 6, 7, 1, 3], [And(0 < v,v < 1), u = -v, 1 < x, y < -1
-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1
/2, -1/2], [2, 2], [-4, -4], [0, 0]]]], [[7, 6, 7, 1, 4], [And(0 < v,v < 1), u
= -v, 1 < x, y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[7, 6, 7, 1, 5]
, [And(0 < v,v < 1), u = -v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-4, -4], [3, 3]]]], [[7, 9,
1, 2, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y =
0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [0, 0], [-3, -3]]]], [[7, 9, 1, 2, 2], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [0,
0], [-1816187/1048576, -3632373/2097152]]]], [[7, 9, 1, 2, 3], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152
], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[7, 9, 1, 2, 4], [And(0 < v
,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [0,
0], [908093/524288, 1816187/1048576]]]], [[7, 9, 1, 2, 5], [And(0 < v,v < 1),
And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [0,
0], [3, 3]]]], [[7, 11, 9, 4, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[1/
2, 1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [
-1534619/2097152, -1534619/2097152], [-1, -1]]]], [[7, 11, 9, 4, 2], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y = -x, z = 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
1534619/2097152, 1534619/2097152], [-1534619/2097152, -1534619/2097152], [0, 0
]]]], [[7, 11, 9, 4, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-1534619/
2097152, -1534619/2097152], [1, 1]]]], [[7, 13, 6, 1, 1], [And(0 < v,v < 1), (
v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1
/2, 1/2], [3, 3], [0, 0], [-11, -11], [-5, -5]]]], [[7, 13, 6, 1, 2], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-11, -11], [-1738867/524288, -\
3477733/1048576]]]], [[7, 13, 6, 1, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [
[1/2, 1/2], [3, 3], [0, 0], [-11, -11], [0, 0]]]], [[7, 13, 6, 1, 4], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-11, -11], [3477733/1048576, 
1738867/524288]]]], [[7, 13, 6, 1, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
= 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [0,
0], [-11, -11], [5, 5]]]], [[8, 3, 10, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^
(1/2)), x = 1, And(u^2-3 < y,y < 0), z = z], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-1101539/4194304, -1101539/
4194304], [0, 0]]]], [[8, 5, 9, 6, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(0
< x,x < 1), y = -x, z < 0], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[8, 5, 9, 6, 2], [v
= 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[8, 5, 9, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(0
< x,x < 1), y = -x, 0 < z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8, 11, 11, 1, 1], [v
= 1, And(1 < u,u < 2^(1/2)), 1 < x, y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-5, -5],
[-3, -3]]]], [[8, 11, 11, 1, 2], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y < -u
^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[8, 11,
11, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y < -u^2-x, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[8, 11, 11, 1, 4], [
v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[8, 11, 11, 1, 5], [v = 1, And(1 < u,u <
2^(1/2)), 1 < x, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [2, 2], [-5, -5], [3, 3]]]], [[8, 13, 9, 9,
1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), 0 < y, z = z],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576,
773191/1048576], [1, 1], [0, 0]]]], [[9, 2, 3, 4, 1], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [0, 0], [-3, -3]]]], [[9, 2, 3, 4, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[9
, 2, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [0,
0], [0, 0]]]], [[9, 2, 3, 4, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2),
And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[9, 2, 3, 4, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [
-2, -2], [0, 0], [3, 3]]]], [[9, 3, 11, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [-6793421/2097152, -6793421/
2097152], [-3, -3]]]], [[9, 3, 11, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [2, 2], [-6793421/2097152, -6793421/2097152], [-\
583671/524288, -1167341/1048576]]]], [[9, 3, 11, 3, 3], [And(1 < v,v < 2^(1/2)
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-\
6793421/2097152, -6793421/2097152], [0, 0]]]], [[9, 3, 11, 3, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-\
1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-6793421/2097152, -\
6793421/2097152], [1167341/1048576, 583671/524288]]]], [[9, 3, 11, 3, 5], [And
(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u
^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-6793421/
2097152, -6793421/2097152], [3, 3]]]], [[9, 13, 2, 7, 1], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-384703/262144, -1538811/1048576], [3, 3], [0, 0]]]], [[9, 15, 1, 6
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -
u^2+v^2-1, y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [-4, -4], [4, 4], [-1, -1]]]], [[9, 15, 1, 6
, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -
u^2+v^2-1, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [-4, -4], [4, 4], [0, 0]]]], [[9, 15, 1, 6,
3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-4, -4], [4, 4], [1, 1]]]], [[10, 1, 6, 1, 1]
, [v = 2^(1/2), u < -2, x = 0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-9, -9], [-4, -4]]]], [[
10, 1, 6, 1, 2], [v = 2^(1/2), u < -2, x = 0, y < -u^2+1, z = -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-9, -9],
[-3, -3]]]], [[10, 1, 6, 1, 3], [v = 2^(1/2), u < -2, x = 0, y < -u^2+1, And(-
(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [0, 0], [-9, -9], [0, 0]]]], [[10, 1, 6, 1, 4], [v = 2^(1/
2), u < -2, x = 0, y < -u^2+1, z = (-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [0, 0], [-9, -9], [3, 3]]]], [[10, 1, 6, 1
, 5], [v = 2^(1/2), u < -2, x = 0, y < -u^2+1, (-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-9, -9], [4, 4]]]], [[
10, 3, 3, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1
), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-388511/524288, -1554043/2097152], [-3, -3]]]], [[10, 3, 3, 2, 2],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1,
z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [-\
388511/524288, -1554043/2097152], [-825991/524288, -3303963/2097152]]]], [[10,
3, 3, 2, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y
= -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/2097152], [-1/
4194304, -1/4194304]]]], [[10, 3, 3, 2, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1
/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/2097152], [
1651981/1048576, 825991/524288]]]], [[10, 3, 3, 2, 5], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-388511/524288, -1554043/
2097152], [3, 3]]]], [[10, 9, 3, 1, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(u
^2-3 < x,x < -1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [-2, -2], [-3, -3]]]],
[[10, 9, 3, 1, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y <
u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1/2, -1/2], [-15/8, -15/8], [-2, -2], [-33025983/16777216, -16512991/
8388608]]]], [[10, 9, 3, 1, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x
,x < -1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [-2, -2], [-7/16777216, -7/16777216]]]], [[10, 9, 3, 1, 4], [v = 2^(1/2), 
And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [-2, -2], [2064123/1048576, 516031/262144]]]], [[10, 9, 3, 1, 5], [v = 2^(1/
2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y < u^2-x-3, (-x-y)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8
], [-2, -2], [3, 3]]]], [[10, 10, 8, 7, 1], [v = 2^(1/2), u = 0, x = 1, 0 < y,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [1,
1], [0, 0]]]], [[10, 14, 7, 7, 1], [v = 2^(1/2), u = v, 1 < x, 0 < y, z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [1, 1], [0, 0]]]], [[10, 16, 8, 4, 1], [v = 2^(1/2), u = 3^(
1/2), x = 1, y = -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576]
, [908093/524288, 1816187/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[10, 16, 8
, 4, 2], [v = 2^(1/2), u = 3^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [-1
, -1], [0, 0]]]], [[10, 16, 8, 4, 3], [v = 2^(1/2), u = 3^(1/2), x = 1, y = -1
, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [1, 1], [-1, -1], [1, 1]]]], [[10, 19, 6, 1, 1], [v = 2^(1/2
), 2 < u, x = 0, y < -u^2+1, z < -(-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [0, 0], [-9, -9], [-4, -4]]]], [[10, 19, 6, 1, 2],
[v = 2^(1/2), 2 < u, x = 0, y < -u^2+1, z = -(-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [0, 0], [-9, -9], [-3, -3]]]], [[10,
19, 6, 1, 3], [v = 2^(1/2), 2 < u, x = 0, y < -u^2+1, And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0
], [-9, -9], [0, 0]]]], [[10, 19, 6, 1, 4], [v = 2^(1/2), 2 < u, x = 0, y < -u
^2+1, z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [0, 0], [-9, -9], [3, 3]]]], [[10, 19, 6, 1, 5], [v = 2^(1/2), 2 < u, x =
0, y < -u^2+1, (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [0, 0], [-9, -9], [4, 4]]]], [[11, 1, 11, 9, 1], [2^(1/2) <
v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[3, 3],
[-5, -5], [16, 16], [1, 1], [0, 0]]]], [[11, 5, 9, 4, 1], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2]
, [-1055481/1048576, -131935/131072], [-2, -2]]]], [[11, 5, 9, 4, 2], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[1/2, 1/2], [-1055481/1048576, -131935/131072], [-373161/524288, -1492643/
2097152]]]], [[11, 5, 9, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1
)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/
2], [-1055481/1048576, -131935/131072], [-1/4194304, -1/4194304]]]], [[11, 5,
9, 4, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y =
u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [1/2, 1/2], [-1055481/1048576, -131935/131072], [746321/
1048576, 373161/524288]]]], [[11, 5, 9, 4, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2
) < u,u < -v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
1055481/1048576, -131935/131072], [2, 2]]]], [[11, 7, 9, 8, 1], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [0,
0], [0, 0]]]], [[11, 13, 4, 4, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^
2-1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [1435023/524288,
1435023/524288], [-1, -1], [0, 0], [-2, -2]]]], [[11, 13, 4, 4, 2], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, z = -1], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [0, 0], [-\
1, -1]]]], [[11, 13, 4, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1, -1], [0, 0], [0, 0]]]], [[11, 13, 4, 4, 4], [2^(
1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [0, 0], [1
, 1]]]], [[11, 13, 4, 4, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1, -1], [0, 0], [2, 2]]]], [[11, 15, 3, 3, 1], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y
,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [-133001/1048576, -133001/
1048576], [-3, -3]]]], [[11, 15, 3, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u
,u < v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [-133001/1048576, -133001/1048576], [-616015/524288,
-1232029/1048576]]]], [[11, 15, 3, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [-133001/1048576, -133001/1048576]
, [0, 0]]]], [[11, 15, 3, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [-133001/1048576, -133001/1048576], [1232029/1048576, 616015/
524288]]]], [[11, 15, 3, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [-133001/1048576, -133001/1048576], [3, 3]]]], [[11, 19, 4, 1,
1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v
^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1, -1], [-3, -3], [-3, -3]]]], [[11, 19, 4, 1, 2], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/
2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [-\
3, -3], [-2, -2]]]], [[11, 19, 4, 1, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [-3,
-3], [0, 0]]]], [[11, 19, 4, 1, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[11, 19, 4
, 1, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -
u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1, -1], [-3, -3], [3, 3]]]], [[11, 20, 9, 9, 1], [2^(1/2) < v, u =
(v^2+2)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [2, 2], [1, 1], [0, 0]]]], [[1, 5, 1, 8, 1], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [3, 3], [-1, -1]]]], [[
1, 5, 1, 8, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1,
y = -x, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [
-3, -3], [3, 3], [0, 0]]]], [[1, 5, 1, 8, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2
) < u,u < v), x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-3, -3], [3, 3], [1, 1]]]], [[1, 7, 2, 7, 1],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, -u^2+v^2+1 < y, z
= z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
3161161/2097152, -395145/262144], [3, 3], [0, 0]]]], [[1, 10, 8, 7, 1], [v < -
2^(1/2), u = -(v^2-2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-3, -3],
[-5548543/2097152, -2774271/1048576], [1, 1], [1, 1], [0, 0]]]], [[1, 12, 6, 1
, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [-4, -4], [-3
, -3]]]], [[1, 12, 6, 1, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y < -3,
z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0
, 0], [-4, -4], [-2, -2]]]], [[1, 12, 6, 1, 3], [v < -2^(1/2), u = (v^2-2)^(1/
2), x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3,
-3], [2774271/1048576, 10837/4096], [0, 0], [-4, -4], [0, 0]]]], [[1, 12, 6, 1
, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [-4, -4], [2,
2]]]], [[1, 12, 6, 1, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y < -3, (-y
)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0]
, [-4, -4], [3, 3]]]], [[1, 18, 4, 4, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x
= -1, y = 0, z < -1], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[1, 18, 4, 4, 2], [v < -2^(1/2), u =
(v^2+1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[1, 18, 4, 4, 3], [v
< -2^(1/2), u = (v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [0, 0], [
0, 0]]]], [[1, 18, 4, 4, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, y = 0,
z = 1], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1],
[0, 0], [1, 1]]]], [[1, 18, 4, 4, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1
, y = 0, 1 < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [
-1, -1], [0, 0], [2, 2]]]], [[1, 20, 3, 1, 1], [v < -2^(1/2), u = (v^2+2)^(1/2
), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [3477733/1048576, 1738867/524288], [-2, -2], [-2, -2], [-3, -3]]]], [[1, 20,
3, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[-2, -2], [-2, -2], [-2, -2]]]], [[1, 20, 3, 1, 3], [v < -2^(1/2), u = (v^2+2)
^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [-2,
-2], [0, 0]]]], [[1, 20, 3, 1, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 <
x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-2, -2], [-2, -2], [2, 2]]]], [[1, 20, 3, 1, 5], [v
< -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [-2,
-2], [3, 3]]]], [[2, 2, 7, 1, 1], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y <
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[2, 2, 7, 1, 2], [v = -2^(1/2),
u = -2, And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-5, -5], [-1112183/
524288, -2224365/1048576]]]], [[2, 2, 7, 1, 3], [v = -2^(1/2), u = -2, And(0 <
x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-5, -5], [0, 0]]]]
, [[2, 2, 7, 1, 4], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y < -x-3, z = (-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/
2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[2, 2, 7, 1, 5], [v
= -2^(1/2), u = -2, And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-5,
-5], [4, 4]]]], [[2, 4, 5, 3, 1], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x <
0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[-3/4, -3/4], [-3, -3]]]], [[2, 4, 5, 3, 2], [v = -2^(1/2), u = -3^(1/2), And(
-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[2, 4, 5, 3, 3],
[v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/4, -3/4], [0,
0]]]], [[2, 4, 5, 3, 4], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(-
x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3/4, -3/4], [
1172343/1048576, 146543/131072]]]], [[2, 4, 5, 3, 5], [v = -2^(1/2), u = -3^(1
/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [
-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[2, 7, 6, 6, 1], [v = -2^(1/2), And(v <
u,u < -1), x = -u^2+1, y = u^2-1, z < 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [239655/524288, 479311/1048576], [-1, -1]]]], [[2, 7, 6, 6, 2]
, [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, y = u^2-1, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [239655/524288, 479311/
1048576], [0, 0]]]], [[2, 7, 6, 6, 3], [v = -2^(1/2), And(v < u,u < -1), x = -
u^2+1, y = u^2-1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [
239655/524288, 479311/1048576], [1, 1]]]], [[2, 9, 5, 9, 1], [v = -2^(1/2), 
And(-1 < u,u < 0), And(-1 < x,x < 0), -u^2-x+1 < y, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [3, 3], [0, 0]]
]], [[2, 13, 3, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1)
, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-284633/1048576, -35579/131072], [-3, -3]]]], [[2, 13, 3, 2
, 2], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = u^2-x-3, z
= -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
284633/1048576, -35579/131072], [-1302471/1048576, -651235/524288]]]], [[2, 13
, 3, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = u^2-x
-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-284633/1048576, -35579/131072], [0, 0]]]], [[2,
13, 3, 2, 4], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = u^2
-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
284633/1048576, -35579/131072], [651235/524288, 1302471/1048576]]]], [[2, 13,
3, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = u^2-x-3
, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [-\
284633/1048576, -35579/131072], [3, 3]]]], [[2, 15, 4, 1, 1], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), x = -1, y < -u^2+2, z < -(1-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1
, -1], [-2, -2], [-3, -3]]]], [[2, 15, 4, 1, 2], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x = -1, y < -u^2+2, z = -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [-2, -\
2], [-1816187/1048576, -3632373/2097152]]]], [[2, 15, 4, 1, 3], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z < (1-y)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[2, 15, 4,
1, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y < -u^2+2, z = (1-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[2
, 15, 4, 1, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y < -u^2+2, (1
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[3, 1, 6, 7, 1], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, u^2-v^2-1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [8, 8]
, [0, 0]]]], [[3, 3, 4, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [-1550541/2097152, -1550541/2097152], [-3, -3]]]]
, [[3, 3, 4, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [-1550541/2097152, -1550541/2097152], [-1382911/
1048576, -691455/524288]]]], [[3, 3, 4, 3, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-
(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1550541/
2097152, -1550541/2097152], [0, 0]]]], [[3, 3, 4, 3, 4], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y <
0), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-14373233/8388608, -14373233/8388608], [-1, -1], [-1550541/2097152, -1550541/
2097152], [691455/524288, 1382911/1048576]]]], [[3, 3, 4, 3, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2
< y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-1550541/2097152,
-1550541/2097152], [3, 3]]]], [[3, 7, 4, 8, 1], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [1
, 1], [-1, -1]]]], [[3, 7, 4, 8, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [1, 1], [0,
0]]]], [[3, 7, 4, 8, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), x = -1, y = 1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [1, 1], [1, 1]]]], [
[3, 9, 4, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-1527887/1048576, -\
763943/524288], [-3, -3]]]], [[3, 9, 4, 2, 2], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1
], [-1527887/1048576, -763943/524288], [-410915/262144, -3287319/2097152]]]],
[[3, 9, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1]
, [-1527887/1048576, -763943/524288], [-1/4194304, -1/4194304]]]], [[3, 9, 4,
2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x
= -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [0, 0], [-1, -1], [-1527887/1048576, -763943/524288], [
1643659/1048576, 410915/262144]]]], [[3, 9, 4, 2, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
-1, -1], [-1527887/1048576, -763943/524288], [3, 3]]]], [[3, 17, 9, 7, 1], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(0 <
y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [363259/262144, 363259/
262144], [0, 0]]]], [[4, 2, 5, 1, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0)
, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576,
-3632373/2097152], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[4, 2, 5, 1, 2], [v =
-1, u = -3^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[-4, -4], [-1112183/524288, -2224365/1048576]]]], [[4, 2, 5, 1, 3], [v = -1, u
= -3^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -\
1/2], [-4, -4], [0, 0]]]], [[4, 2, 5, 1, 4], [v = -1, u = -3^(1/2), And(-1 < x
,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/
524288]]]], [[4, 2, 5, 1, 5], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), y < -x
-3, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[4, 6, 2, 1, 1], [v = -1, u = -1
, x = -1, y < 0, z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1,
-1], [-1, -1], [-3, -3]]]], [[4, 6, 2, 1, 2], [v = -1, u = -1, x = -1, y < 0,
z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[4, 6, 2, 1, 3], [v = -1, u = -1, x = -1
, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1, -1], [-1, -1], [-1, -1], [0, 0]]]], [[4, 6, 2, 1, 4], [v = -1, u = -1, x =
-1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [-\
1, -1], [741455/524288, 1482911/1048576]]]], [[4, 6, 2, 1, 5], [v = -1, u = -1
, x = -1, y < 0, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-1, -\
1], [-1, -1], [3, 3]]]], [[4, 8, 3, 4, 1], [v = -1, u = 0, And(-2 < x,x < -1),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [0,
0], [-3, -3]]]], [[4, 8, 3, 4, 2], [v = -1, u = 0, And(-2 < x,x < -1), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [0, 0], [-\
1284239/1048576, -642119/524288]]]], [[4, 8, 3, 4, 3], [v = -1, u = 0, And(-2
< x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1
, -1], [0, 0], [-3/2, -3/2], [0, 0], [0, 0]]]], [[4, 8, 3, 4, 4], [v = -1, u =
0, And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [0,
0], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[4, 8, 3, 4, 5
], [v = -1, u = 0, And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain,
[[-1, -1], [0, 0], [-3/2, -3/2], [0, 0], [3, 3]]]], [[4, 14, 2, 4, 1], [v = -1
, u = 3^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[4, 14, 2, 4, 2], [v
= -1, u = 3^(1/2), x = -3, y = 3, z = 0], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-3, -3], [3, 3], [0, 0]]]], [[4, 14, 2, 4, 3], [v =
-1, u = 3^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-3, -3], [3, 3], [1, 1]]]], [[4, 15, 10, 7, 1], [v
= -1, 3^(1/2) < u, x = u^2-2, 0 < y, z = z], [regular_chain, [[-1, -1], [3, 3]
, [7, 7], [1, 1], [0, 0]]]], [[5, 4, 4, 4, 1], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[5, 4, 4, 4, 2], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y = 0, z = -1], [regular_chain,
[[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [0, 0], [-1, -1]]
]], [[5, 4, 4, 4, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y = 0, 
And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[5, 4, 4, 4, 4], [And(-1 < v,v < 0), u
= -(v^2+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [0, 0], [1, 1]]]], [[5, 4, 4, 4, 5
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y = 0, 1 < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [0
, 0], [2, 2]]]], [[5, 6, 3, 5, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0
), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2
, -1/2], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[5, 6, 3, 5, 2], [And(-1 < v,
v < 0), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -\
1/2]]]], [[5, 6, 3, 5, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[5, 6, 3, 5, 4], [
And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [1
/2, 1/2]]]], [[5, 6, 3, 5, 5], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), 
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1
/2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[5, 9, 7, 3, 1], [And(-1 < v,v < 0)
, And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 <
y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
736367/1048576, -736367/1048576], [-3, -3]]]], [[5, 9, 7, 3, 2], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-\
1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
736367/1048576, -736367/1048576], [-1048577/1048576, -1]]]], [[5, 9, 7, 3, 3],
[And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-736367/1048576, -736367/1048576], [0, 0]
]]], [[5, 9, 7, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837
/4194304, -1248837/4194304], [-736367/1048576, -736367/1048576], [1, 1048577/
1048576]]]], [[5, 9, 7, 3, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2
)), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [
-1248837/4194304, -1248837/4194304], [-736367/1048576, -736367/1048576], [3, 3
]]]], [[5, 11, 6, 4, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [0, 0], [0, 0], [-1, -1]]]], [[5, 11, 6, 4, 2], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = 0, z = 0], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [0, 0],
[0, 0]]]], [[5, 11, 6, 4, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [0, 0], [0, 0], [1, 1]]]], [[6, 1, 10, 2, 1], [v = 0,
u < -2^(1/2), x = u^2-1, y = -2*u^2, z < -(u^2+1)^(1/2)], [regular_chain, [[0,
0], [-3, -3], [8, 8], [-18, -18], [-5, -5]]]], [[6, 1, 10, 2, 2], [v = 0, u <
-2^(1/2), x = u^2-1, y = -2*u^2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [8, 8], [-18, -18], [-3315889/1048576, -207243/65536]]]], [[6, 1, 10
, 2, 3], [v = 0, u < -2^(1/2), x = u^2-1, y = -2*u^2, And(-(u^2+1)^(1/2) < z,z
< (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-18, -18], [0,
0]]]], [[6, 1, 10, 2, 4], [v = 0, u < -2^(1/2), x = u^2-1, y = -2*u^2, z = (u^
2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-18, -18], [207243/
65536, 3315889/1048576]]]], [[6, 1, 10, 2, 5], [v = 0, u < -2^(1/2), x = u^2-1
, y = -2*u^2, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [8, 8], [
-18, -18], [5, 5]]]], [[6, 3, 7, 7, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(
0 < x,x < u^2-1), And(0 < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [239655/
2097152, 239655/2097152], [0, 0]]]], [[6, 9, 7, 4, 1], [v = 0, And(1 < u,u < 2
^(1/2)), And(0 < x,x < u^2-1), y = -x, z < 0], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [-239655/
1048576, -239655/1048576], [-1, -1]]]], [[6, 9, 7, 4, 2], [v = 0, And(1 < u,u
< 2^(1/2)), And(0 < x,x < u^2-1), y = -x, z = 0], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [-239655/
1048576, -239655/1048576], [0, 0]]]], [[6, 9, 7, 4, 3], [v = 0, And(1 < u,u <
2^(1/2)), And(0 < x,x < u^2-1), y = -x, 0 < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [-239655/
1048576, -239655/1048576], [1, 1]]]], [[6, 11, 4, 7, 1], [v = 0, 2^(1/2) < u,
x = -1, And(1 < y,y < u^2), z = z], [regular_chain, [[0, 0], [3, 3], [-1, -1],
[5, 5], [0, 0]]]], [[7, 3, 8, 5, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [-243021/1048576, -243021/1048576], [0, 0]]]], [[7, 5, 7, 8,
1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288
], [-1, -1]]]], [[7, 5, 7, 8, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), And(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [
312209/1048576, 156105/524288], [0, 0]]]], [[7, 5, 7, 8, 3], [And(0 < v,v < 1)
, And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [312209/1048576, 156105/524288], [1, 1]]]], [[8, 1
, 4, 4, 1], [v = 1, u < -3^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[1,
1], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[8, 1, 4, 4, 2], [v = 1, u < -3^
(1/2), x = -1, y = 0, z = -1], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [0
, 0], [-1, -1]]]], [[8, 1, 4, 4, 3], [v = 1, u < -3^(1/2), x = -1, y = 0, And(
-1 < z,z < 1)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [0, 0], [0, 0]]]]
, [[8, 1, 4, 4, 4], [v = 1, u < -3^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[1, 1], [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[8, 1, 4, 4, 5
], [v = 1, u < -3^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[1, 1], [-3,
-3], [-1, -1], [0, 0], [2, 2]]]], [[8, 3, 1, 3, 1], [v = 1, And(-3^(1/2) < u,u
< -2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
1599345/2097152, 1599345/2097152], [-3, -3]]]], [[8, 3, 1, 3, 2], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
1599345/2097152, 1599345/2097152], [-3773343/2097152, -7546685/4194304]]]], [[
8, 3, 1, 3, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(0 < y,y
< -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-4, -4], [1599345/2097152, 1599345/
2097152], [-1/8388608, -1/8388608]]]], [[8, 3, 1, 3, 4], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
1599345/2097152, 1599345/2097152], [1886671/1048576, 117917/65536]]]], [[8, 3,
1, 3, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(0 < y,y < -u^2
-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [1599345/2097152, 1599345/2097152], [3, 3]]]], [[8, 7, 2,
3, 1], [v = 1, And(-1 < u,u < 0), x = u^2-2, And(0 < y,y < -2*u^2+2), z < -(-u
^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [3/4, 3/4
], [-2, -2]]]], [[8, 7, 2, 3, 2], [v = 1, And(-1 < u,u < 0), x = u^2-2, And(0
< y,y < -2*u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/
2], [-7/4, -7/4], [3/4, 3/4], [-1, -1]]]], [[8, 7, 2, 3, 3], [v = 1, And(-1 <
u,u < 0), x = u^2-2, And(0 < y,y < -2*u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-
u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [3/4, 3
/4], [0, 0]]]], [[8, 7, 2, 3, 4], [v = 1, And(-1 < u,u < 0), x = u^2-2, And(0
< y,y < -2*u^2+2), z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2
], [-7/4, -7/4], [3/4, 3/4], [1, 1]]]], [[8, 7, 2, 3, 5], [v = 1, And(-1 < u,u
< 0), x = u^2-2, And(0 < y,y < -2*u^2+2), (-u^2-y+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [3/4, 3/4], [2, 2]]]], [[8
, 9, 1, 2, 1], [v = 1, And(0 < u,u < 1), x < u^2-2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [0, 0], [-3, -3]]]], [[8, 9, 1,
2, 2], [v = 1, And(0 < u,u < 1), x < u^2-2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 9, 1, 2, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2]
, [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[8, 9, 1, 2, 4], [v = 1, And
(0 < u,u < 1), x < u^2-2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [1/
2, 1/2], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[8, 9, 1, 2,
5], [v = 1, And(0 < u,u < 1), x < u^2-2, y = 0, (-x)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [0, 0], [3, 3]]]], [[8, 14, 8, 1
, 1], [v = 1, u = 3^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain,
[[1, 1], [908093/524288, 1816187/1048576], [1, 1], [-5, -5], [-3, -3]]]], [[8,
14, 8, 1, 2], [v = 1, u = 3^(1/2), x = 1, y < -4, z = -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [-5, -5], [-\
2, -2]]]], [[8, 14, 8, 1, 3], [v = 1, u = 3^(1/2), x = 1, y < -4, And(-(-y-1)^
(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187
/1048576], [1, 1], [-5, -5], [0, 0]]]], [[8, 14, 8, 1, 4], [v = 1, u = 3^(1/2)
, x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [1, 1], [-5, -5], [2, 2]]]], [[8, 14, 8, 1, 5], [v = 1, u =
3^(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [1, 1], [-5, -5], [3, 3]]]], [[9, 1, 4, 9, 1], [And(
1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [9, 9]
, [0, 0]]]], [[9, 5, 2, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [980473/1048576, 490237/
524288], [-2, -2]]]], [[9, 5, 2, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [980473/1048576, 490237/
524288], [-1530309/2097152, -382577/524288]]]], [[9, 5, 2, 4, 3], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, 
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [980473/1048576, 490237/524288], [0, 0]]]],
[[9, 5, 2, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x =
-u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [980473/1048576, 490237/524288], [382577/
524288, 765155/1048576]]]], [[9, 5, 2, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [980473/1048576, 490237/
524288], [2, 2]]]], [[9, 7, 3, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2, -2], [-3, -3]]]],
[[9, 7, 3, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And
(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [-2, -2], [-7602281/4194304, -950285/
524288]]]], [[9, 7, 3, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)
^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2, -2], [
0, 0]]]], [[9, 7, 3, 1, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(
1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2, -2], [950285/
524288, 1900571/1048576]]]], [[9, 7, 3, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-2, -2], [3
, 3]]]], [[9, 9, 11, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u
< (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-4673615/
1048576, -2336807/524288], [-3, -3]]]], [[9, 9, 11, 2, 2], [And(1 < v,v < 2^(1
/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [2, 2], [-4673615/1048576, -2336807/524288], [-410915/262144, -3287319/
2097152]]]], [[9, 9, 11, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z <
(-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0,
0], [2, 2], [-4673615/1048576, -2336807/524288], [-1/4194304, -1/4194304]]]],
[[9, 9, 11, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-4673615/1048576, -2336807
/524288], [1643659/1048576, 410915/262144]]]], [[9, 9, 11, 2, 5], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1,
(-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [2, 2], [-4673615/1048576, -2336807/524288], [3, 3]]]], [[9, 11, 10, 1
, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y < u^2-v^
2-2, z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[9, 11, 10,
1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y < u^2-v
^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 11, 10, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^
(1/2) < u,u < v), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[9, 11, 10, 1
, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y < u^2-v^
2-2, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/
1048576]]]], [[9, 11, 10, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-4, -4],
[3, 3]]]], [[9, 15, 11, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-6, -6], [-3, -3]]]], [[9, 15, 11, 1, 2], [And(1 < v,v < 2^(
1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [2, 2], [-6, -6], [-2, -2]]]], [[9, 15, 11, 1, 3], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -
u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-6
, -6], [0, 0]]]], [[9, 15, 11, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-6, -6], [2, 2]]]], [[9, 15, 11, 1, 5], [And(1 < v,v < 2^(1/
2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)
^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [2, 2], [-6, -6], [3, 3]]]], [[9, 17, 7, 9, 1], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), u^2-v^2-x-1 < y, z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [8,
8], [0, 0]]]], [[10, 5, 11, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 <
x, And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-3,
-3], [-2, -2]]]], [[10, 5, 11, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
1 < x, And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2],
[-3, -3], [-1, -1]]]], [[10, 5, 11, 3, 3], [v = 2^(1/2), And(-3^(1/2) < u,u <
-v), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-3, -3], [0, 0]]]], [[10, 5, 11, 3, 4], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [2, 2], [-3, -3], [1, 1]]]], [[10, 5, 11, 3, 5], [v = 2^(1/
2), And(-3^(1/2) < u,u < -v), 1 < x, And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304,
-6598195/4194304], [2, 2], [-3, -3], [2, 2]]]], [[10, 7, 11, 7, 1], [v = 2^(1/
2), And(-v < u,u < -1), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2],
[-1, -1], [0, 0]]]], [[10, 11, 9, 4, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-
u^2+1 < x,x < 1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [7/8, 7/8], [-7/8, -7/8], [-1, -1]]]], [[10, 11, 9, 4, 2
], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-7/
8, -7/8], [0, 0]]]], [[10, 11, 9, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-
u^2+1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [7/8, 7/8], [-7/8, -7/8], [1, 1]]]], [[10, 13, 8, 1, 1],
[v = 2^(1/2), And(1 < u,u < v), x = 0, y < u^2-3, z < -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-3, -3], [-3, -3]]]], [[10, 13, 8, 1, 2], [v = 2^(1/2), And
(1 < u,u < v), x = 0, y < u^2-3, z = -(-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[10, 13, 8, 1, 3], [v = 2^(1/2), 
And(1 < u,u < v), x = 0, y < u^2-3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[10, 13, 8, 1, 4], [
v = 2^(1/2), And(1 < u,u < v), x = 0, y < u^2-3, z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[10, 13, 8,
1, 5], [v = 2^(1/2), And(1 < u,u < v), x = 0, y < u^2-3, (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-3, -3], [3, 3]]]], [[11, 3, 1, 3, 1], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x
-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-4, -4], [1579107/2097152, 1579107/2097152], [-3, -3]]]], [[11, 3,
1, 3, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v
^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [-3396811/1048576, -3396811/1048576], [-4, -4], [1579107/2097152, 1579107/
2097152], [-3778963/2097152, -7557925/4194304]]]], [[11, 3, 1, 3, 3], [2^(1/2)
< v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y <
-u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1579107/2097152, 1579107/
2097152], [-1/8388608, -1/8388608]]]], [[11, 3, 1, 3, 4], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x
-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-4, -4], [1579107/2097152, 1579107/2097152], [1889481/1048576, 
944741/524288]]]], [[11, 3, 1, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1579107/2097152, 1579107/2097152], [3, 3]]]], [[11, 4, 8, 7, 1], [2^(1/2) < v,
u = -(v^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [1, 1], [1, 1], [0, 0]]]], [[11, 8, 9, 7, 1], [2^(1/2
) < v, u = -(v^2-1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[3, 3], [-\
2965821/1048576, -11863283/4194304], [2, 2], [1, 1], [0, 0]]]], [[11, 10, 6, 6
, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y = 1, z = z], [regular_chain,
[[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [1, 1], [0, 0]]]], [[11
, 16, 1, 4, 1], [2^(1/2) < v, u = v, x < -1, y = -1-x, z < -1], [regular_chain
, [[3, 3], [3, 3], [-2, -2], [1, 1], [-2, -2]]]], [[11, 16, 1, 4, 2], [2^(1/2)
< v, u = v, x < -1, y = -1-x, z = -1], [regular_chain, [[3, 3], [3, 3], [-2, -\
2], [1, 1], [-1, -1]]]], [[11, 16, 1, 4, 3], [2^(1/2) < v, u = v, x < -1, y =
-1-x, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1], [
0, 0]]]], [[11, 16, 1, 4, 4], [2^(1/2) < v, u = v, x < -1, y = -1-x, z = 1], [
regular_chain, [[3, 3], [3, 3], [-2, -2], [1, 1], [1, 1]]]], [[11, 16, 1, 4, 5
], [2^(1/2) < v, u = v, x < -1, y = -1-x, 1 < z], [regular_chain, [[3, 3], [3,
3], [-2, -2], [1, 1], [2, 2]]]], [[11, 18, 2, 1, 1], [2^(1/2) < v, u = (v^2+1)
^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[11, 18, 2, 1, 2],
[2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2], [-1, -1], [
-1816187/1048576, -3632373/2097152]]]], [[11, 18, 2, 1, 3], [2^(1/2) < v, u =
(v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2], [-1, -1], [
-1/4194304, -1/4194304]]]], [[11, 18, 2, 1, 4], [2^(1/2) < v, u = (v^2+1)^(1/2
), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[
11, 18, 2, 1, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, y < 0, (2-y)^(1/2)
< z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2], [-1,
-1], [3, 3]]]], [[11, 21, 10, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-
v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [15, 15], [-33, -33], [-6, -6]]]], [[11, 21, 10, 1, 2], [2^(1/2) < v,
(v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[3, 3], [5, 5], [15, 15], [-33, -33], [-1112183/262144, -\
4448731/1048576]]]], [[11, 21, 10, 1, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^
(1/2))], [regular_chain, [[3, 3], [5, 5], [15, 15], [-33, -33], [0, 0]]]], [[
11, 21, 10, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+
2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [15, 15], [
-33, -33], [4448731/1048576, 1112183/262144]]]], [[11, 21, 10, 1, 5], [2^(1/2)
< v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2)
< z], [regular_chain, [[3, 3], [5, 5], [15, 15], [-33, -33], [6, 6]]]], [[1, 2
, 3, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z
< -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
-2, -2], [-1, -1], [-3, -3]]]], [[1, 2, 3, 2, 2], [v < -2^(1/2), u = -(v^2+2)^
(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3],
[-1738867/524288, -3477733/1048576], [-2, -2], [-1, -1], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 2, 3, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(
-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1, -1], [-1/4194304, -\
1/4194304]]]], [[1, 2, 3, 2, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x
,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[
1, 2, 3, 2, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-\
3, 3^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576
], [-2, -2], [-1, -1], [3, 3]]]], [[1, 3, 11, 1, 1], [v < -2^(1/2), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-6,
-6], [-3, -3]]]], [[1, 3, 11, 1, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-6, -6], [-2, -2]]]]
, [[1, 3, 11, 1, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-6, -\
6], [0, 0]]]], [[1, 3, 11, 1, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [2, 2], [-6, -6], [2, 2]]]], [[1
, 3, 11, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 <
x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [2, 2], [-6, -6], [3, 3]]]], [[1, 7, 11, 8, 1], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = 0, z = z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [0, 0]
, [0, 0]]]], [[1, 9, 10, 7, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^
2-2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < 0), z = z], [regular_chain, [[-3, -\
3], [-22960369/8388608, -22960369/8388608], [1, 1], [-128885/524288, -128885/
524288], [0, 0]]]], [[1, 15, 5, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/
2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [-399003/1048576, -399003/1048576], [-3, -3]]]], [[1,
15, 5, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
-399003/1048576, -399003/1048576], [-278273/262144, -1113091/1048576]]]], [[1,
15, 5, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [-399003/1048576, -399003/1048576], [0, 0]]]], [[1, 
15, 5, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-\
399003/1048576, -399003/1048576], [1113091/1048576, 278273/262144]]]], [[1, 15
, 5, 3, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+
v^2-1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -\
3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-\
399003/1048576, -399003/1048576], [3, 3]]]], [[1, 17, 5, 7, 1], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851
/131072], [-1579769/2097152, -1579769/2097152], [1/2, 1/2], [-2, -2]]]], [[1,
17, 5, 7, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2
-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
1/2, 1/2], [-1055459/2097152, -527729/1048576]]]], [[1, 17, 5, 7, 3], [v < -2^
(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x
-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3
, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
1/2, 1/2], [0, 0]]]], [[1, 17, 5, 7, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)
^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1579769/
2097152, -1579769/2097152], [1/2, 1/2], [527729/1048576, 263865/524288]]]], [[
1, 17, 5, 7, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x <
u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-3, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152],
[1/2, 1/2], [2, 2]]]], [[1, 21, 3, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, 
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-9, -9], [-8, -8], [-6, -6]]]], [[1, 21, 3,
2, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+
v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9],
[-8, -8], [-2161695/524288, -4323389/1048576]]]], [[1, 21, 3, 2, 3], [v < -2^(
1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5]
, [-9, -9], [-8, -8], [0, 0]]]], [[1, 21, 3, 2, 4], [v < -2^(1/2), (v^2+2)^(1/
2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [5, 5], [-9, -9], [-8, -8], [4323389/1048576, 
2161695/524288]]]], [[1, 21, 3, 2, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-
u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [-9, -9], [-8, -8], [6, 6]]]], [[2, 1, 8, 8,
1], [v = -2^(1/2), u < -2, x = 1, y = u^2-4, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [5, 5], [0, 0]]]], [[2, 10
, 4, 2, 1], [v = -2^(1/2), u = 0, x = -1, y = -2, z < -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-2, -2]
, [-3, -3]]]], [[2, 10, 4, 2, 2], [v = -2^(1/2), u = 0, x = -1, y = -2, z = -3
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1]
, [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[2, 10, 4, 2, 3], [v = -
2^(1/2), u = 0, x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-2, -2], [-1/4194304
, -1/4194304]]]], [[2, 10, 4, 2, 4], [v = -2^(1/2), u = 0, x = -1, y = -2, z =
3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1
], [-2, -2], [908093/524288, 1816187/1048576]]]], [[2, 10, 4, 2, 5], [v = -2^(
1/2), u = 0, x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-1, -1], [-2, -2], [3, 3]]]], [[2, 12, 1, 1, 1], [v
= -2^(1/2), u = 1, x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1, -1], [-3, -3]]]], [[2
, 12, 1, 1, 2], [v = -2^(1/2), u = 1, x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1, -1]
, [-2, -2]]]], [[2, 12, 1, 1, 3], [v = -2^(1/2), u = 1, x < -2, y < 0, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [1, 1], [-3, -3], [-1, -1], [0, 0]]]], [[2, 12, 1, 1, 4], [v = -2^(1
/2), u = 1, x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-3, -3], [-1, -1], [2, 2]]]], [[2, 12, 1, 1
, 5], [v = -2^(1/2), u = 1, x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [-1, -1], [3, 3]]]], [[
2, 16, 2, 1, 1], [v = -2^(1/2), u = 3^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[2, 16, 2, 1, 2], [v = -2^(1/2), u
= 3^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-2, -2], [-1, -1]
, [-1816187/1048576, -3632373/2097152]]]], [[2, 16, 2, 1, 3], [v = -2^(1/2), u
= 3^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[2, 16, 2, 1, 4],
[v = -2^(1/2), u = 3^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-2, -2]
, [-1, -1], [908093/524288, 1816187/1048576]]]], [[2, 16, 2, 1, 5], [v = -2^(1
/2), u = 3^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-2, -2], [-1, -1]
, [3, 3]]]], [[2, 17, 11, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x,
And(u^2-x-3 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [2, 2], [-3183369/4194304, -\
3183369/4194304], [0, 0]]]], [[3, 4, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), x = -2, 2 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [3, 3], [0, 0]
]]], [[3, 6, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = 0, z < -(
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[3, 6, 1, 2, 2], [
And(-2^(1/2) < v,v < -1), u = v, x < -1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[3
, 6, 1, 2, 3], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = 0, And(-(-x)^(1/2
) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-1265743/1048576, -1265743/1048576], [-2, -2], [0, 0], [0, 0]]]], [[3, 6, 1,
2, 4], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[3,
6, 1, 2, 5], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = 0, (-x)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [0, 0], [3, 3]]]], [[3, 10, 2, 2, 1], [And(-2^(1/2
) < v,v < -1), u = (v^2-1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2,
-2], [0, 0], [-3, -3]]]], [[3, 10, 2, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v
^2-1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [0, 0], [-\
1482911/1048576, -741455/524288]]]], [[3, 10, 2, 2, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [0, 0], [0, 0]]]], [[3, 10, 2, 2, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[0, 0], [741455/524288, 1482911/1048576]]]], [[3, 10, 2, 2, 5], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2
], [0, 0], [3, 3]]]], [[3, 11, 11, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2-\
1)^(1/2) < u,u < -v), 1 < x, y = 0, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [0, 0], [0, 0]]
]], [[3, 15, 3, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [2325811/1048576, 581453/262144
], [0, 0]]]], [[3, 16, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-1/2, -1/2], [0, 0
]]]], [[4, 3, 5, 2, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x
< 0), y = -u^2-x, z < u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [-66261453/33554432, -16565363/8388608], [-3,
-3]]]], [[4, 3, 5, 2, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,
x < 0), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [-66261453/33554432, -16565363/8388608], [-\
1649549/1048576, -3299097/2097152]]]], [[4, 3, 5, 2, 3], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), And(-1 < x,x < 0), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-66261453/33554432, -16565363/8388608], [-1/4194304, -1/4194304]]]], [[4, 3,
5, 2, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = -u^2
-x, z = -u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304],
[-1/2, -1/2], [-66261453/33554432, -16565363/8388608], [412387/262144, 1649549
/1048576]]]], [[4, 3, 5, 2, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-\
1 < x,x < 0), y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [-66261453/33554432, -16565363/
8388608], [3, 3]]]], [[4, 5, 4, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x =
-1, y < -u^2+1, z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[4, 5, 4, 1, 2],
[v = -1, And(-2^(1/2) < u,u < -1), x = -1, y < -u^2+1, z = -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [-2,
-2], [-1816187/1048576, -3632373/2097152]]]], [[4, 5, 4, 1, 3], [v = -1, And(-
2^(1/2) < u,u < -1), x = -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1],
[-2, -2], [-1/4194304, -1/4194304]]]], [[4, 5, 4, 1, 4], [v = -1, And(-2^(1/2)
< u,u < -1), x = -1, y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[4, 5, 4, 1, 5], [v = -1, And(-2^(1/2) < u,u < -1), x =
-1, y < -u^2+1, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[4, 11, 5, 5, 1], [v = -1
, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), z < -
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-3235683/4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [-2, -\
2]]]], [[4, 11, 5, 5, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-\
2), And(0 < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/2097152, 239655/2097152], [-3400157/4194304, -850039/1048576]]]], [[4,
11, 5, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 <
y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1
, -1], [1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304
], [239655/2097152, 239655/2097152], [0, 0]]]], [[4, 11, 5, 5, 4], [v = -1, 
And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), z = (-x
-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [850039/
1048576, 106255/131072]]]], [[4, 11, 5, 5, 5], [v = -1, And(1 < u,u < 2^(1/2))
, And(-1 < x,x < u^2-2), And(0 < y,y < u^2-x-2), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [239655/2097152, 239655/2097152], [2, 2]]]], [[4,
13, 4, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = 0, z < -1], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0]
, [-2, -2]]]], [[4, 13, 4, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -\
1, y = 0, z = -1], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1, -1], [0, 0], [-1, -1]]]], [[4, 13, 4, 4, 3], [v = -1, And(2^(1/
2) < u,u < 3^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0], [0, 0]]]], [[4, 13,
4, 4, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0]
, [1, 1]]]], [[4, 13, 4, 4, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1,
y = 0, 1 < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[-1, -1], [0, 0], [2, 2]]]], [[5, 1, 8, 8, 1], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3]
, [1, 1], [27/4, 27/4], [0, 0]]]], [[5, 3, 5, 7, 1], [And(-1 < v,v < 0), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < u^2-v
^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1/2, -1/2], [767309/1048576, 767309/1048576], [0, 0]]]], [[5, 12, 4
, 4, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = 0, z < -1], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [0, 0], [-2, -2]]]], [[5,
12, 4, 4, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [0, 0], [-1, -1]]]], [[5,
12, 4, 4, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = 0, And(-1 < z
,z < 1)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [0, 0], [0, 0]]
]], [[5, 12, 4, 4, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = 0, z
= 1], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [0, 0], [1, 1]]]],
[[5, 12, 4, 4, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = 0, 1 < z
], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [0, 0], [2, 2]]]], [[6
, 1, 1, 3, 1], [v = 0, u < -2^(1/2), x < -u^2-1, And(0 < y,y < -u^2-x-1), z <
-(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1/2, 1/2], [-5
, -5]]]], [[6, 1, 1, 3, 2], [v = 0, u < -2^(1/2), x < -u^2-1, And(0 < y,y < -u
^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1
/2, 1/2], [-3397775/1048576, -1698887/524288]]]], [[6, 1, 1, 3, 3], [v = 0, u
< -2^(1/2), x < -u^2-1, And(0 < y,y < -u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1/2, 1/2], [0, 0]
]]], [[6, 1, 1, 3, 4], [v = 0, u < -2^(1/2), x < -u^2-1, And(0 < y,y < -u^2-x-\
1), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1/2, 1/
2], [1698887/524288, 3397775/1048576]]]], [[6, 1, 1, 3, 5], [v = 0, u < -2^(1/
2), x < -u^2-1, And(0 < y,y < -u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[
0, 0], [-3, -3], [-11, -11], [1/2, 1/2], [5, 5]]]], [[6, 4, 7, 3, 1], [v = 0,
u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[6,
4, 7, 3, 2], [v = 0, u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [-1, -\
1]]]], [[6, 4, 7, 3, 3], [v = 0, u = -1, And(0 < x,x < 1), And(-x-2 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1]
, [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[6, 4, 7, 3, 4], [v = 0, u = -1, And(0
< x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0],
[-1, -1], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[6, 4, 7, 3, 5], [v = 0, u = -\
1, And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[0, 0], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[6, 6, 5, 7, 1], [v =
0, u = 0, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[0, 0], [0, 0], [1
/2, 1/2], [1, 1], [0, 0]]]], [[7, 1, 2, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)
^(1/2), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [109/8, 109/8], [0, 0]]]
], [[7, 2, 8, 4, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, y = -1, z <
0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-1, -1], [-1, -1]]]],
[[7, 2, 8, 4, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, y = -1, z = 0]
, [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-1, -1], [0, 0]]]], [[7,
2, 8, 4, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, y = -1, 0 < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-1, -1], [1, 1]]]], [[7, 6,
7, 4, 1], [And(0 < v,v < 1), u = -v, 1 < x, y = -x, z < 0], [regular_chain, [[
1/2, 1/2], [-1/2, -1/2], [2, 2], [-2, -2], [-1, -1]]]], [[7, 6, 7, 4, 2], [And
(0 < v,v < 1), u = -v, 1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-1
/2, -1/2], [2, 2], [-2, -2], [0, 0]]]], [[7, 6, 7, 4, 3], [And(0 < v,v < 1), u
= -v, 1 < x, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2]
, [-2, -2], [1, 1]]]], [[7, 9, 1, 1, 1], [And(0 < v,v < 1), And(v < u,u < (v^2
+1)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[7
, 9, 1, 1, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1
, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [-1, -1], [-2, -2]]]], [[7, 9, 1, 1, 3], [And(0 <
v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[7, 9, 1, 1, 4], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
-1, -1], [2, 2]]]], [[7, 9, 1, 1, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)
^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [1696631/2097152, 1696631/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[7, 11,
9, 3, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2
-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152,
1534619/2097152], [-8235625/4194304, -8235625/4194304], [-3, -3]]]], [[7, 11,
9, 3, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2
-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152,
1534619/2097152], [-8235625/4194304, -8235625/4194304], [-1163761/1048576, -\
72735/65536]]]], [[7, 11, 9, 3, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-8235625/4194304,
-8235625/4194304], [0, 0]]]], [[7, 11, 9, 3, 4], [And(0 < v,v < 1), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [1534619/2097152, 1534619/2097152], [-8235625/4194304, -\
8235625/4194304], [72735/65536, 1163761/1048576]]]], [[7, 11, 9, 3, 5], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1)
, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-\
8235625/4194304, -8235625/4194304], [3, 3]]]], [[7, 13, 6, 4, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, x = 0, y = 0, z < 0], [regular_chain, [[1/2, 1/2], [3
, 3], [0, 0], [0, 0], [-1, -1]]]], [[7, 13, 6, 4, 2], [And(0 < v,v < 1), (v^2+
2)^(1/2) < u, x = 0, y = 0, z = 0], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0
], [0, 0], [0, 0]]]], [[7, 13, 6, 4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [0, 0], [1,
1]]]], [[8, 3, 10, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -\
1, z < 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1,
1], [-1, -1], [-1, -1]]]], [[8, 3, 10, 4, 2], [v = 1, And(-3^(1/2) < u,u < -2^
(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-1, -1], [0, 0]]]], [[8, 3, 10, 4, 3], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-1, -1], [1, 1]]]], [[8, 5, 9, 7,
1], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(-x < y,y < 0), z =
z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2],
[-1/4, -1/4], [0, 0]]]], [[8, 11, 10, 9, 1], [v = 1, And(1 < u,u < 2^(1/2)), x
= 1, 0 < y, z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [1, 1], [1, 1], [0, 0]]]], [[8, 13, 10, 3, 1], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), x = 1, And(-u^2-1 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [-4692109/2097152, -\
4692109/2097152], [-3, -3]]]], [[8, 13, 10, 3, 2], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), x = 1, And(-u^2-1 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [
[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [-4692109/2097152, -\
4692109/2097152], [-1166407/1048576, -583203/524288]]]], [[8, 13, 10, 3, 3], [
v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1
)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [1, 1], [-4692109/2097152, -4692109/2097152], [0, 0]]]], [[8
, 13, 10, 3, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, And(-u^2-1 < y,y
< -1), z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [1, 1], [-4692109/2097152, -4692109/2097152], [583203/524288, 
1166407/1048576]]]], [[8, 13, 10, 3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = 1, And(-u^2-1 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [1, 1], [-4692109/2097152, -4692109/2097152
], [3, 3]]]], [[9, 2, 3, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 
And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-2
, -2], [-3, -3]]]], [[9, 2, 3, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1
/2), And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2,
-2], [-2, -2], [-2, -2]]]], [[9, 2, 3, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v
^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-2, -2], [-2, -2], [0, 0]]]], [[9, 2, 3, 1, 4], [And(1 < v
,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-2, -2], [-2, -2], [2, 2]]]], [[9, 2, 3, 1, 5], [And(1 < v
,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-2, -2], [-2, -2], [3, 3]]]], [[9, 3, 11, 4, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-2, -2], [-1, -1]]]], [[9, 3, 11, 4, 2], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-2, -2], [0, 0]]]], [[9, 3, 11, 4, 3], [And(1 < v,
v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, 0 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-2, -2], [1, 1]]]], [[9, 13, 2, 6, 1], [And(1 < v,
v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-384703/262144, -1538811/1048576], [1538811/1048576, 384703
/262144], [-1, -1]]]], [[9, 13, 2, 6, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [1538811/1048576, 384703/262144], [0, 0]]]],
[[9, 13, 2, 6, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [1538811/1048576, 384703/262144], [1, 1]]]], [[9, 15, 1, 9, 1], [And
(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1,
u^2-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-4, -4], [6, 6], [0, 0]]]], [[10, 1, 5, 7, 1]
, [v = 2^(1/2), u < -2, And(-1 < x,x < 0), And(-x < y,y < u^2-x-3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [-1/2, -1/2], [7/2
, 7/2], [0, 0]]]], [[10, 3, 3, 3, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -1554043/
4194304], [-3, -3]]]], [[10, 3, 3, 3, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2
)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [-1554043/4194304, -1554043/
4194304], [-380925/262144, -1523699/1048576]]]], [[10, 3, 3, 3, 3], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -\
3651195/2097152], [-1554043/4194304, -1554043/4194304], [0, 0]]]], [[10, 3, 3,
3, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^
2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [-1554043/4194304, -1554043/4194304], [1523699/1048576, 380925/
262144]]]], [[10, 3, 3, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^
2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [-1554043/4194304, -1554043/4194304], [3,
3]]]], [[10, 9, 2, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3, -2*u^2+4
< y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[-11/4, -11/4], [5, 5], [0, 0]]]], [[10, 10, 9, 3, 1], [v = 2^(1/2), u = 0, 1
< x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [0, 0], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[10, 10, 9, 3,
2], [v = 2^(1/2), u = 0, 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [-7/2, -7/2]
, [-1284239/1048576, -642119/524288]]]], [[10, 10, 9, 3, 3], [v = 2^(1/2), u =
0, 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [-7/2, -7/2]
, [0, 0]]]], [[10, 10, 9, 3, 4], [v = 2^(1/2), u = 0, 1 < x, And(-x-3 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0,
0], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[10, 10, 9, 3,
5], [v = 2^(1/2), u = 0, 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [-7/2, -7/2]
, [3, 3]]]], [[10, 14, 7, 4, 1], [v = 2^(1/2), u = v, 1 < x, y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [741455/524288, 1482911/
1048576], [2, 2], [-2, -2], [-1, -1]]]], [[10, 14, 7, 4, 2], [v = 2^(1/2), u =
v, 1 < x, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
741455/524288, 1482911/1048576], [2, 2], [-2, -2], [0, 0]]]], [[10, 14, 7, 4,
3], [v = 2^(1/2), u = v, 1 < x, y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [741455/524288, 1482911/1048576], [2, 2], [-2, -2],
[1, 1]]]], [[10, 16, 8, 5, 1], [v = 2^(1/2), u = 3^(1/2), x = 1, And(-1 < y,y
< 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[10, 19, 5, 7, 1],
[v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(-x < y,y < u^2-x-3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [7/2,
7/2], [0, 0]]]], [[11, 2, 1, 1, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3,
y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733
/1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[11, 2, 1, 1, 2], [2^(1/2) < v, u
= -(v^2+2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [-4, -4], [-1, -1], [-146543/65536, -\
2344687/1048576]]]], [[11, 2, 1, 1, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x <
-3, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [-4, -4], [-1, -1], [0, 0]]]], [[11, 2, 1
, 1, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [-1, -1
], [2344687/1048576, 146543/65536]]]], [[11, 2, 1, 1, 5], [2^(1/2) < v, u = -(
v^2+2)^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [-1, -1], [4, 4]]]], [[11, 5, 9,
3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^
2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [1/2, 1/2], [-201326609/134217728, -201326609
/134217728], [-3, -3]]]], [[11, 5, 9, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2)
< u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x
-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1
/2], [-201326609/134217728, -201326609/134217728], [-1048577/1048576, -1]]]],
[[11, 5, 9, 3, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x <
1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2],
[-201326609/134217728, -201326609/134217728], [0, 0]]]], [[11, 5, 9, 3, 4], [2
^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1
< y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [1/2, 1/2], [-201326609/134217728, -201326609/
134217728], [1, 1048577/1048576]]]], [[11, 5, 9, 3, 5], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072
], [1/2, 1/2], [-201326609/134217728, -201326609/134217728], [3, 3]]]], [[11,
7, 10, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2
-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [-3, -3]]]], [[
11, 7, 10, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2
-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [-1287385/
1048576, -160923/131072]]]], [[11, 7, 10, 2, 3], [2^(1/2) < v, And(-v < u,u <
-(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v
^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[1, 1], [-5258313/2097152, -657289/262144], [0, 0]]]], [[11, 7, 10, 2, 4], [2^
(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2
+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1,
1], [-5258313/2097152, -657289/262144], [160923/131072, 1287385/1048576]]]], [
[11, 7, 10, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = u^
2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [1, 1], [-5258313/2097152, -657289/262144], [3, 3]]]], [[11
, 13, 4, 1, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1
, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1, -1], [-3, -3], [-3, -3]]]], [[11, 13, 4, 1, 2], [2^(1/2)
< v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y < u^2-v^2, z = -(1-y)
^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1],
[-3, -3], [-2, -2]]]], [[11, 13, 4, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [-3,
-3], [0, 0]]]], [[11, 13, 4, 1, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), x = -1, y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [-1, -1], [-3, -3], [2, 2]]]], [[11, 13, 4,
1, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y < u^2
-v^2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-1, -1], [-3, -3], [3, 3]]]], [[11, 15, 3, 4, 1], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [0, 0], [-3, -3]]]], [[11, 15, 3, 4, 2], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [0, 0], [-293517/262144, -1174067/1048576]]]], [[11, 15, 3, 4,
3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [0, 0]]]]
, [[11, 15, 3, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-\
1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [1174067/
1048576, 293517/262144]]]], [[11, 15, 3, 4, 5], [2^(1/2) < v, And((v^2-1)^(1/2
) < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [0, 0], [3, 3]]]], [[11, 19, 3, 9, 1], [2^(1/2) < v, And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y,
z = z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [4, 4], [0, 0]]]], [[11, 21, 1, 3, 1], [2^(1/2) < v,
(v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [1/2, 1/2], [-6, -6]]]], [[
11, 21, 1, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y
< -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -\
18], [1/2, 1/2], [-4386509/1048576, -1096627/262144]]]], [[11, 21, 1, 3, 3], [
2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-\
18, -18], [1/2, 1/2], [0, 0]]]], [[11, 21, 1, 3, 4], [2^(1/2) < v, (v^2+2)^(1/
2) < u, x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-18, -18], [1/2, 1/2], [1096627/262144, 
4386509/1048576]]]], [[11, 21, 1, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[
3, 3], [5, 5], [-18, -18], [1/2, 1/2], [6, 6]]]], [[1, 5, 2, 2, 1], [v < -2^(1
/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/
131072, -1565959/1048576], [0, 0], [-3, -3]]]], [[1, 5, 2, 2, 2], [v < -2^(1/2
), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/
131072, -1565959/1048576], [0, 0], [-1281417/1048576, -160177/131072]]]], [[1,
5, 2, 2, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y =
0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -\
3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [0,
0], [0, 0]]]], [[1, 5, 2, 2, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [0, 0], [
160177/131072, 1281417/1048576]]]], [[1, 5, 2, 2, 5], [v < -2^(1/2), And(-(v^2
+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [0, 0], [3, 3]]]], [[1, 7, 2, 6, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/
262144], [395145/262144, 1580581/1048576], [-1, -1]]]], [[1, 7, 2, 6, 2], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [395145/262144, 1580581/1048576], [0, 0]]]], [[1, 7,
2, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^
2+v^2+1, 0 < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [395145/262144, 1580581/1048576]
, [1, 1]]]], [[1, 10, 9, 1, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y <
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [2, 2], [-6, -6], [-3, -3]]]], [[1, 10, 9, 1, 2], [v < -2^(1
/2), u = -(v^2-2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [-6, -6], [-2, -2]]]]
, [[1, 10, 9, 1, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y < -x-3, And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [2, 2], [-6, -6], [0, 0]]]], [[1, 10, 9, 1, 4], [v
< -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [-6, -\
6], [2, 2]]]], [[1, 10, 9, 1, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y
< -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [2, 2], [-6, -6], [3, 3]]]], [[1, 12, 5, 7, 1], [v < -2^(1/2
), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [1, 1],
[0, 0]]]], [[1, 18, 4, 7, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, 1 < y,
z = z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1],
[2, 2], [0, 0]]]], [[1, 20, 2, 7, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3
, 4 < y, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[-3, -3], [5, 5], [0, 0]]]], [[2, 2, 7, 2, 1], [v = -2^(1/2), u = -2, And(0 <
x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[2, 2, 7, 2, 2], [
v = -2^(1/2), u = -2, And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-7/
2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[2, 2, 7, 2, 3], [v = -2^(
1/2), u = -2, And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-7/
2, -7/2], [-1/4194304, -1/4194304]]]], [[2, 2, 7, 2, 4], [v = -2^(1/2), u = -2
, And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-2, -2], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187
/1048576]]]], [[2, 2, 7, 2, 5], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y = -
x-3, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -\
2], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[2, 4, 4, 7, 1], [v = -2^(1/2), u =
-3^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [2, 2], [0, 0]]]], [[
2, 7, 7, 2, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = u
^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/
1048576], [-1378187/1048576, -689093/524288], [-3, -3]]]], [[2, 7, 7, 2, 2], [
v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^2-x-3, z = -(-u^
2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-1378187/
1048576, -689093/524288], [-1302471/1048576, -651235/524288]]]], [[2, 7, 7, 2,
3], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^2-x-3, And(
-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [-1378187/1048576, -689093/524288], [0, 0]]]], [[2, 7, 7, 2,
4], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^2-x-3, z =
(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-\
1378187/1048576, -689093/524288], [651235/524288, 1302471/1048576]]]], [[2, 7,
7, 2, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = u^2-x-3
, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-\
1378187/1048576, -689093/524288], [3, 3]]]], [[2, 9, 5, 8, 1], [v = -2^(1/2),
And(-1 < u,u < 0), And(-1 < x,x < 0), y = -u^2-x+1, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [5/4, 5/4], [0,
0]]]], [[2, 13, 3, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x <
-1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [-35579/262144, -35579/262144], [-3, -3]]]], [[2,
13, 3, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(u^2
-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [-35579/262144, -35579/262144], [-1243865/1048576, -155483/
131072]]]], [[2, 13, 3, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x
,x < -1), And(u^2-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-35579/262144, -35579/262144]
, [0, 0]]]], [[2, 13, 3, 3, 4], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 <
x,x < -1), And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [-35579/262144, -35579/262144], [155483/
131072, 1243865/1048576]]]], [[2, 13, 3, 3, 5], [v = -2^(1/2), And(1 < u,u < -
v), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [-35579/262144, -35579/262144]
, [3, 3]]]], [[2, 15, 3, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u
^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [2044187/2097152, 2044187/2097152], [-2, -\
2]]]], [[2, 15, 3, 7, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 <
x,x < -1), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [2044187/2097152, 2044187/2097152], [-\
268683/524288, -1074731/2097152]]]], [[2, 15, 3, 7, 3], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [2044187/2097152, 2044187/2097152], [-1/4194304, -1/4194304]]]], [[2
, 15, 3, 7, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1)
, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [2044187/2097152, 2044187/2097152], [537365/
1048576, 268683/524288]]]], [[2, 15, 3, 7, 5], [v = -2^(1/2), And(-v < u,u < 3
^(1/2)), And(-u^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [2044187/2097152, 2044187/
2097152], [2, 2]]]], [[3, 1, 7, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-\
10006449/2097152, -10006449/2097152], [-4, -4]]]], [[3, 1, 7, 3, 2], [And(-2^(
1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152], [-\
2167143/1048576, -1083571/524288]]]], [[3, 1, 7, 3, 3], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152]
, [0, 0]]]], [[3, 1, 7, 3, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-\
10006449/2097152, -10006449/2097152], [1083571/524288, 2167143/1048576]]]], [[
3, 1, 7, 3, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1
), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-10006449/2097152, -\
10006449/2097152], [4, 4]]]], [[3, 3, 4, 2, 1], [And(-2^(1/2) < v,v < -1), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1, -1], [-775271/524288, -1550541/1048576], [-3
, -3]]]], [[3, 3, 4, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [-775271/524288, -1550541/1048576], [-3301741/
2097152, -825435/524288]]]], [[3, 3, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-775271/
524288, -1550541/1048576], [0, 0]]]], [[3, 3, 4, 2, 4], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1, -1], [-775271/524288, -1550541/
1048576], [825435/524288, 1650871/1048576]]]], [[3, 3, 4, 2, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1, -1], [-775271/524288, -1550541/
1048576], [3, 3]]]], [[3, 7, 4, 9, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = -1, 1 < y, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [2, 2], [0,
0]]]], [[3, 9, 3, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [2291829/1048576, 1145915/524288], [0, 0]]]], [[3,
17, 9, 8, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-
v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [363259/131072, 2906073/
1048576], [0, 0]]]], [[4, 2, 4, 7, 1], [v = -1, u = -3^(1/2), x = -1, And(1 <
y,y < 2), z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [3/2, 3/2], [0, 0]]]], [[4, 6, 2, 4, 1], [v = -1, u = -1,
x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1, 1],
[-1, -1]]]], [[4, 6, 2, 4, 2], [v = -1, u = -1, x = -1, y = 1, z = 0], [
regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1, 1], [0, 0]]]], [[4, 6, 2, 4,
3], [v = -1, u = -1, x = -1, y = 1, 0 < z], [regular_chain, [[-1, -1], [-1, -1
], [-1, -1], [1, 1], [1, 1]]]], [[4, 8, 3, 3, 1], [v = -1, u = 0, And(-2 < x,x
< -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0,
0], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[4, 8, 3, 3, 2], [v = -1, u = 0,
And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [0, 0], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]
]], [[4, 8, 3, 3, 3], [v = -1, u = 0, And(-2 < x,x < -1), And(-x-2 < y,y < 0),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [
-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[4, 8, 3, 3, 4], [v = -1, u = 0, And(-2
< x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [0, 0], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[4, 8
, 3, 3, 5], [v = -1, u = 0, And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1
/2) < z], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-1/4, -1/4], [3, 3
]]]], [[4, 14, 2, 5, 1], [v = -1, u = 3^(1/2), x = -3, And(3 < y,y < 4), z = z
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [7/2
, 7/2], [0, 0]]]], [[4, 15, 10, 4, 1], [v = -1, 3^(1/2) < u, x = u^2-2, y = -u
^2+2, z < 0], [regular_chain, [[-1, -1], [3, 3], [7, 7], [-7, -7], [-1, -1]]]]
, [[4, 15, 10, 4, 2], [v = -1, 3^(1/2) < u, x = u^2-2, y = -u^2+2, z = 0], [
regular_chain, [[-1, -1], [3, 3], [7, 7], [-7, -7], [0, 0]]]], [[4, 15, 10, 4,
3], [v = -1, 3^(1/2) < u, x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[-1,
-1], [3, 3], [7, 7], [-7, -7], [1, 1]]]], [[5, 4, 4, 7, 1], [And(-1 < v,v < 0)
, u = -(v^2+1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [2, 2], [0, 0]]]], [[5, 6, 3, 4, 1
], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2]]]],
[[5, 6, 3, 4, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0],
[-1482911/2097152, -741455/1048576]]]], [[5, 6, 3, 4, 3], [And(-1 < v,v < 0),
u = v, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [0, 0]]]], [
[5, 6, 3, 4, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = 0, z = (-x)
^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[5, 6, 3, 4, 5], [And(-1 < v,v < 0), u = v,
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/
2, -1/2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[5, 9, 7, 4, 1], [And(-1 < v,v < 0
), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -\
312209/1048576], [-2, -2]]]], [[5, 9, 7, 4, 2], [And(-1 < v,v < 0), And(-v < u
,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-1248837/4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [-\
1618333/2097152, -3236665/4194304]]]], [[5, 9, 7, 4, 3], [And(-1 < v,v < 0), 
And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(
-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2
], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [
-156105/524288, -312209/1048576], [-1/8388608, -1/8388608]]]], [[5, 9, 7, 4, 4
], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0)
, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
156105/524288, -312209/1048576], [404583/524288, 809167/1048576]]]], [[5, 9, 7
, 4, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,
x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2
], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [
-156105/524288, -312209/1048576], [2, 2]]]], [[5, 11, 6, 1, 1], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0,
0], [-4, -4], [-3, -3]]]], [[5, 11, 6, 1, 2], [And(-1 < v,v < 0), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [-4, -4]
, [-2, -2]]]], [[5, 11, 6, 1, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [-4, -4
], [0, 0]]]], [[5, 11, 6, 1, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1/2
, -1/2], [343151/262144, 343151/262144], [0, 0], [-4, -4], [2, 2]]]], [[5, 11,
6, 1, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0,
y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144
, 343151/262144], [0, 0], [-4, -4], [3, 3]]]], [[6, 1, 10, 5, 1], [v = 0, u <
-2^(1/2), x = u^2-1, And(-u^2+1 < y,y < 0), z = z], [regular_chain, [[0, 0], [
-3, -3], [8, 8], [-4, -4], [0, 0]]]], [[6, 3, 7, 6, 1], [v = 0, And(-2^(1/2) <
u,u < -1), And(0 < x,x < u^2-1), y = 0, z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [0, 0],
[0, 0]]]], [[6, 9, 7, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2
-1), And(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [239655/1048576, 239655/1048576], [-239655/2097152, -239655/
2097152], [0, 0]]]], [[6, 11, 4, 4, 1], [v = 0, 2^(1/2) < u, x = -1, y = 0, z
< -1], [regular_chain, [[0, 0], [3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[6, 11
, 4, 4, 2], [v = 0, 2^(1/2) < u, x = -1, y = 0, z = -1], [regular_chain, [[0,
0], [3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[6, 11, 4, 4, 3], [v = 0, 2^(1/2)
< u, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [3, 3], [-1,
-1], [0, 0], [0, 0]]]], [[6, 11, 4, 4, 4], [v = 0, 2^(1/2) < u, x = -1, y = 0,
z = 1], [regular_chain, [[0, 0], [3, 3], [-1, -1], [0, 0], [1, 1]]]], [[6, 11,
4, 4, 5], [v = 0, 2^(1/2) < u, x = -1, y = 0, 1 < z], [regular_chain, [[0, 0],
[3, 3], [-1, -1], [0, 0], [2, 2]]]], [[7, 3, 9, 1, 1], [And(0 < v,v < 1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2
-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5], [-4, -4]]]], [[7
, 3, 9, 1, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/
2097152], [-5, -5], [-270791/131072, -2166327/1048576]]]], [[7, 3, 9, 1, 3], [
And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152
, 1534619/2097152], [-5, -5], [0, 0]]]], [[7, 3, 9, 1, 4], [And(0 < v,v < 1),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2
+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5], [2166327/1048576
, 270791/131072]]]], [[7, 3, 9, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
1534619/2097152, 1534619/2097152], [-5, -5], [4, 4]]]], [[7, 5, 7, 7, 1], [And
(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/
2097152, 312209/2097152], [-2, -2]]]], [[7, 5, 7, 7, 2], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [312209/2097152, 312209/
2097152], [-50573/131072, -404583/1048576]]]], [[7, 5, 7, 7, 3], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [
312209/2097152, 312209/2097152], [0, 0]]]], [[7, 5, 7, 7, 4], [And(0 < v,v < 1
), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [312209/2097152, 312209/
2097152], [404583/1048576, 50573/131072]]]], [[7, 5, 7, 7, 5], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [-1248837/4194304, -1248837/4194304], [312209/2097152, 312209/
2097152], [2, 2]]]], [[8, 1, 4, 3, 1], [v = 1, u < -3^(1/2), x = -1, And(-u^2+
1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1],
[-4, -4], [-4, -4]]]], [[8, 1, 4, 3, 2], [v = 1, u < -3^(1/2), x = -1, And(-u^
2+1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1]
, [-4, -4], [-146543/65536, -2344687/1048576]]]], [[8, 1, 4, 3, 3], [v = 1, u
< -3^(1/2), x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2
))], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-4, -4], [0, 0]]]], [[8, 1,
4, 3, 4], [v = 1, u < -3^(1/2), x = -1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)
], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-4, -4], [2344687/1048576, 
146543/65536]]]], [[8, 1, 4, 3, 5], [v = 1, u < -3^(1/2), x = -1, And(-u^2+1 <
y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-4,
-4], [4, 4]]]], [[8, 3, 1, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x <
-u^2, y = -x, z < 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [4, 4], [-1, -1]]]], [[8, 3, 1, 6, 2], [v = 1, And(-3^(1/2
) < u,u < -2^(1/2)), x < -u^2, y = -x, z = 0], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [-4, -4], [4, 4], [0, 0]]]], [[8, 3, 1, 6,
3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = -x, 0 < z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [4, 4]
, [1, 1]]]], [[8, 7, 1, 9, 1], [v = 1, And(-1 < u,u < 0), x < u^2-2, -x < y, z
= z], [regular_chain, [[1, 1], [-1/2, -1/2], [-3, -3], [4, 4], [0, 0]]]], [[8,
9, 1, 3, 1], [v = 1, And(0 < u,u < 1), x < u^2-2, And(0 < y,y < u^2-x-2), z <
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [5/8, 5/8], [-3
, -3]]]], [[8, 9, 1, 3, 2], [v = 1, And(0 < u,u < 1), x < u^2-2, And(0 < y,y <
u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [
5/8, 5/8], [-3231929/2097152, -403991/262144]]]], [[8, 9, 1, 3, 3], [v = 1, 
And(0 < u,u < 1), x < u^2-2, And(0 < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [5/8, 5/8], [0,
0]]]], [[8, 9, 1, 3, 4], [v = 1, And(0 < u,u < 1), x < u^2-2, And(0 < y,y < u^
2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [5/8
, 5/8], [403991/262144, 1615965/1048576]]]], [[8, 9, 1, 3, 5], [v = 1, And(0 <
u,u < 1), x < u^2-2, And(0 < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain
, [[1, 1], [1/2, 1/2], [-3, -3], [5/8, 5/8], [3, 3]]]], [[8, 14, 7, 9, 1], [v
= 1, u = 3^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[9, 1, 5, 3,
1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v
^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152]
, [-4, -4]]]], [[9, 1, 5, 3, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [-\
8433585/2097152, -8433585/2097152], [-557415/262144, -2229659/1048576]]]], [[9
, 1, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [-\
8433585/2097152, -8433585/2097152], [0, 0]]]], [[9, 1, 5, 3, 4], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0)
, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-1/2, -1/2], [-8433585/2097152, -8433585/2097152], [2229659/1048576, 
557415/262144]]]], [[9, 1, 5, 3, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/
2), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [-\
8433585/2097152, -8433585/2097152], [4, 4]]]], [[9, 5, 2, 1, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 0, z < -(u^2-v
^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [-1, -1], [-3
, -3]]]], [[9, 5, 2, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u
< -v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [-1, -1], [-3294283/2097152, -1647141/
1048576]]]], [[9, 5, 2, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [-1, -1], [0,
0]]]], [[9, 5, 2, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -
v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [-1, -1], [1647141/1048576, 823571/524288]]]], [[9,
5, 2, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2
+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -\
384703/262144], [-1, -1], [3, 3]]]], [[9, 7, 3, 2, 1], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
299103/1048576, -149551/524288], [-3, -3]]]], [[9, 7, 3, 2, 2], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v
^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-299103/1048576, -149551/524288], [-1314069/1048576, -328517/262144
]]]], [[9, 7, 3, 2, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)
), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z <
(-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
299103/1048576, -149551/524288], [0, 0]]]], [[9, 7, 3, 2, 4], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^
2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-299103/1048576, -149551/524288], [328517/262144, 1314069/1048576]]
]], [[9, 7, 3, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-299103/1048576, -\
149551/524288], [3, 3]]]], [[9, 9, 11, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-6, -6
], [-3, -3]]]], [[9, 9, 11, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2)
< u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-6, -6],
[-2, -2]]]], [[9, 9, 11, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2],
[-6, -6], [0, 0]]]], [[9, 9, 11, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^
(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-6, -6],
[2, 2]]]], [[9, 9, 11, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,
u < (v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-6, -6], [3, 3]]]], [[9,
11, 10, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y
= -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-374737/262144, -\
1498947/1048576], [-2, -2]]]], [[9, 11, 10, 4, 2], [And(1 < v,v < 2^(1/2)), 
And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-374737/262144, -1498947/1048576], [-1374407/2097152, -\
687203/1048576]]]], [[9, 11, 10, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [1, 1], [-374737/262144, -1498947/1048576], [0, 0]]]
], [[9, 11, 10, 4, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-374737/
262144, -1498947/1048576], [687203/1048576, 171801/262144]]]], [[9, 11, 10, 4,
5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2
-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [1, 1], [-374737/262144, -1498947/1048576
], [2, 2]]]], [[9, 15, 10, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [
-1093221/4194304, -1093221/4194304], [0, 0]]]], [[9, 17, 8, 1, 1], [And(1 < v,
v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-11, -11]
, [-5, -5]]]], [[9, 17, 8, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u,
x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [1, 1], [-11, -11], [-3315889/1048576, -207243/65536
]]]], [[9, 17, 8, 1, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y
< -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-11, -11], [0, 0]]]], [[9,
17, 8, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-\
2, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [1, 1], [-11, -11], [207243/65536, 3315889/1048576]]]], [[9, 17, 8, 1, 5],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y < -u^2+v^2-2, (-y-1)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [
-11, -11], [5, 5]]]], [[10, 5, 11, 2, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -
v), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-3643535/
1048576, -1821767/524288], [-3, -3]]]], [[10, 5, 11, 2, 2], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2,
2], [-3643535/1048576, -1821767/524288], [-636691/524288, -1273381/1048576]]]]
, [[10, 5, 11, 2, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y = -u^2-
x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
3643535/1048576, -1821767/524288], [0, 0]]]], [[10, 5, 11, 2, 4], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [2, 2], [-3643535/1048576, -1821767/524288], [1273381/1048576, 
636691/524288]]]], [[10, 5, 11, 2, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v),
1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-3643535/
1048576, -1821767/524288], [3, 3]]]], [[10, 8, 1, 1, 1], [v = 2^(1/2), u = -1,
x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-3, -3], [-1, -1], [-3, -3]]]], [[10, 8, 1, 1, 2], [v = 2
^(1/2), u = -1, x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1, -1], [-3, -3], [-1, -1], [-2, -2]]]], [[10, 8,
1, 1, 3], [v = 2^(1/2), u = -1, x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1, -1], [-3, -\
3], [-1, -1], [0, 0]]]], [[10, 8, 1, 1, 4], [v = 2^(1/2), u = -1, x < -2, y <
0, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1,
-1], [-3, -3], [-1, -1], [2, 2]]]], [[10, 8, 1, 1, 5], [v = 2^(1/2), u = -1, x
< -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1, -1], [-3, -3], [-1, -1], [3, 3]]]], [[10, 11, 9, 1, 1], [v = 2^
(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y < u^2-x-3, z < -(-x-y)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8],
[-5, -5], [-4, -4]]]], [[10, 11, 9, 1, 2], [v = 2^(1/2), And(0 < u,u < 1), And
(-u^2+1 < x,x < 1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-5, -5], [-532417/262144, -\
2129667/1048576]]]], [[10, 11, 9, 1, 3], [v = 2^(1/2), And(0 < u,u < 1), And(-
u^2+1 < x,x < 1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-5,
-5], [0, 0]]]], [[10, 11, 9, 1, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1
< x,x < 1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-5, -5], [2129667/1048576, 532417/
262144]]]], [[10, 11, 9, 1, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x
,x < 1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-5, -5], [4, 4]]]], [[10, 13, 8, 2,
1], [v = 2^(1/2), And(1 < u,u < v), x = 0, y = u^2-3, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [-3, -3]]]], [[10, 13,
8, 2, 2], [v = 2^(1/2), And(1 < u,u < v), x = 0, y = u^2-3, z = -(-u^2+3)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [-1302471/
1048576, -651235/524288]]]], [[10, 13, 8, 2, 3], [v = 2^(1/2), And(1 < u,u < v
), x = 0, y = u^2-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [0, 0]]]], [[10, 13, 8
, 2, 4], [v = 2^(1/2), And(1 < u,u < v), x = 0, y = u^2-3, z = (-u^2+3)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743
/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [651235/524288, 
1302471/1048576]]]], [[10, 13, 8, 2, 5], [v = 2^(1/2), And(1 < u,u < v), x = 0
, y = u^2-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-3235683/2097152, -\
1617841/1048576], [3, 3]]]], [[11, 2, 9, 9, 1], [2^(1/2) < v, u = -(v^2+2)^(1/
2), 1 < x, 0 < y, z = z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [2, 2], [1, 1], [0, 0]]]], [[11, 4, 9, 1, 1], [2^(1/2) < v, u = -(v^
2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [2, 2], [-5, -5], [-3, -3]]]], [[11, 4, 9, 1,
2], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [-5, -5], [
-1816187/1048576, -3632373/2097152]]]], [[11, 4, 9, 1, 3], [2^(1/2) < v, u = -
(v^2+1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [-5, -5], [
-1/4194304, -1/4194304]]]], [[11, 4, 9, 1, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2
), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]]
, [[11, 4, 9, 1, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y)
^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2
], [-5, -5], [3, 3]]]], [[11, 8, 9, 6, 1], [2^(1/2) < v, u = -(v^2-1)^(1/2), 1
< x, y = 0, z = z], [regular_chain, [[3, 3], [-2965821/1048576, -11863283/
4194304], [2, 2], [0, 0], [0, 0]]]], [[11, 10, 7, 2, 1], [2^(1/2) < v, u = -(v
^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3
], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]]
, [[11, 10, 7, 2, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y =
-x-3, z = -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [
[11, 10, 7, 2, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = -x-\
3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[11
, 10, 7, 2, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3,
z = 3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[11, 10, 7, 2,
5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z]
, [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [
-7/2, -7/2], [3, 3]]]], [[11, 16, 1, 1, 1], [2^(1/2) < v, u = v, x < -1, y < 0
, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-1, -1], [-3
, -3]]]], [[11, 16, 1, 1, 2], [2^(1/2) < v, u = v, x < -1, y < 0, z = -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [-1, -1], [-1816187/1048576
, -3632373/2097152]]]], [[11, 16, 1, 1, 3], [2^(1/2) < v, u = v, x < -1, y < 0
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3, 3], [
-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 16, 1, 1, 4], [2^(1/2) <
v, u = v, x < -1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [
-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[11, 16, 1, 1, 5], [2
^(1/2) < v, u = v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3],
[3, 3], [-2, -2], [-1, -1], [3, 3]]]], [[11, 18, 2, 2, 1], [2^(1/2) < v, u = (
v^2+1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[11, 18, 2, 2, 2], [2
^(1/2) < v, u = (v^2+1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [
[3, 3], [207243/65536, 3315889/1048576], [-2, -2], [0, 0], [-1482911/1048576,
-741455/524288]]]], [[11, 18, 2, 2, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -\
2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-2, -2], [0, 0], [0, 0]]]], [[11, 18, 2, 2, 4], [2^(
1/2) < v, u = (v^2+1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [-2, -2], [0, 0], [741455/524288, 1482911
/1048576]]]], [[11, 18, 2, 2, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, y =
0, 2^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2
, -2], [0, 0], [3, 3]]]], [[11, 21, 9, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u,
And(1 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [5
, 5], [8, 8], [8, 8], [0, 0]]]], [[1, 2, 3, 1, 1], [v < -2^(1/2), u = -(v^2+2)
^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [-2, -2], [-3, -3]]]], [
[1, 2, 3, 1, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x
-3, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[1, 2, 3, 1, 3], [v < -2^(1/2), u
= -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-\
2, -2], [-2, -2], [0, 0]]]], [[1, 2, 3, 1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/
2), And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [-1738867/524288, -3477733/1048576], [-2, -2], [-2, -2], [2, 2]]]], [[1, 2,
3, 1, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y < -x-3, (-x
-y)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576]
, [-2, -2], [-2, -2], [3, 3]]]], [[1, 3, 10, 9, 1], [v < -2^(1/2), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[-3, -\
3], [-3396811/1048576, -3396811/1048576], [1, 1], [1, 1], [0, 0]]]], [[1, 7, 
11, 9, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, 0 < y, z = z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [1, 1
], [0, 0]]]], [[1, 9, 10, 8, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [1, 1], [0, 0], [0, 0]]]], [[1, 15, 5, 2, 1], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2
-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-3192025/4194304
, -399003/524288], [-3, -3]]]], [[1, 15, 5, 2, 2], [v < -2^(1/2), And((v^2-1)^
(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-3192025/4194304, -399003/524288], [-1287385/
1048576, -160923/131072]]]], [[1, 15, 5, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)
^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [-3192025/4194304
, -399003/524288], [0, 0]]]], [[1, 15, 5, 2, 4], [v < -2^(1/2), And((v^2-1)^(1
/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-3192025/4194304, -399003/524288], [160923/
131072, 1287385/1048576]]]], [[1, 15, 5, 2, 5], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
391287/524288, -391287/524288], [-3192025/4194304, -399003/524288], [3, 3]]]],
[[1, 17, 5, 6, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
258691/1048576, 64673/262144], [-2, -2]]]], [[1, 17, 5, 6, 2], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z =
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-1579769/2097152, -1579769/2097152], [258691/1048576, 64673/262144], [-\
373161/524288, -1492643/2097152]]]], [[1, 17, 5, 6, 3], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [258691/1048576
, 64673/262144], [-1/4194304, -1/4194304]]]], [[1, 17, 5, 6, 4], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [258691/1048576, 64673/262144],
[746321/1048576, 373161/524288]]]], [[1, 17, 5, 6, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [258691/1048576, 64673/262144], [2, 2]]]],
[[1, 21, 3, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[5, 5], [-9, -9], [-4, -4], [-5, -5]]]], [[1, 21, 3, 3, 2], [v < -2^(1/2), (v^
2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [-4, -4], [-\
3780695/1048576, -7561389/2097152]]]], [[1, 21, 3, 3, 3], [v < -2^(1/2), (v^2+
2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-9, -9]
, [-4, -4], [-1/4194304, -1/4194304]]]], [[1, 21, 3, 3, 4], [v < -2^(1/2), (v^
2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [-4, -4], [1890347/
524288, 3780695/1048576]]]], [[1, 21, 3, 3, 5], [v < -2^(1/2), (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[-3, -3], [5, 5], [-9, -9], [-4, -4], [5, 5]]]], [[2, 1, 8, 9
, 1], [v = -2^(1/2), u < -2, x = 1, u^2-4 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [6, 6], [0, 0]]]], [[2, 10
, 4, 1, 1], [v = -2^(1/2), u = 0, x = -1, y < -2, z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-3, -3]
, [-3, -3]]]], [[2, 10, 4, 1, 2], [v = -2^(1/2), u = 0, x = -1, y < -2, z = -(
1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1,
-1], [-3, -3], [-2, -2]]]], [[2, 10, 4, 1, 3], [v = -2^(1/2), u = 0, x = -1, y
< -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [-3, -3], [0, 0]]]], [[2, 10, 4, 1
, 4], [v = -2^(1/2), u = 0, x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-3, -3], [2, 2]]]], [[
2, 10, 4, 1, 5], [v = -2^(1/2), u = 0, x = -1, y < -2, (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-3, -3]
, [3, 3]]]], [[2, 11, 11, 9, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, 0 < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2,
2], [1, 1], [0, 0]]]], [[2, 16, 2, 2, 1], [v = -2^(1/2), u = 3^(1/2), x = -2,
y = 0, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[2, 16, 2, 2,
2], [v = -2^(1/2), u = 3^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-2, -2
], [0, 0], [-1482911/1048576, -741455/524288]]]], [[2, 16, 2, 2, 3], [v = -2^(
1/2), u = 3^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [0, 0], [0, 0]]]], [[2, 16, 2, 2, 4], [v = -2^(1/2), u = 3
^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-2, -2], [0, 0], [741455/
524288, 1482911/1048576]]]], [[2, 16, 2, 2, 5], [v = -2^(1/2), u = 3^(1/2), x
= -2, y = 0, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [908093/524288, 1816187/1048576], [-2, -2], [0, 0], [3, 3]]]], [[2, 17, 11,
8, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [0, 0], [0, 0]]]], [[3, 4, 2, 4, 1], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+1)^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [2,
2], [-1, -1]]]], [[3, 4, 2, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/
2), x = -2, y = 2, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-2, -2], [2, 2], [0, 0]]]], [[3
, 4, 2, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y = 2, 0
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144,
-3287319/2097152], [-2, -2], [2, 2], [1, 1]]]], [[3, 6, 1, 1, 1], [And(-2^(1/2
) < v,v < -1), u = v, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2,
-2], [-1, -1], [-3, -3]]]], [[3, 6, 1, 1, 2], [And(-2^(1/2) < v,v < -1), u = v
, x < -1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [-1, -1], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 6, 1, 1, 3], [And(-2^(1/2) < v,v <
-1), u = v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[3, 6, 1,
1, 4], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[3
, 6, 1, 1, 5], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y < 0, (-x-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[3, 10, 2, 3, 1], [And(-2^(
1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[3, 10, 2, 3, 2], [And(-2^(1/
2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[3, 10, 2, 3, 3], [And(-2^(1/
2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2)
< z,z < (2-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [-2, -2], [1, 1], [0, 0]]]], [[3, 10, 2, 3, 4
], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z =
(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-2, -2], [1, 1], [1, 1]]]], [[3, 10, 2, 3, 5], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [1, 1], [2, 2]]]], [[3, 11, 11, 9, 1], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [1, 1], [0, 0]]]], [[3, 15, 3, 9, 1], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2
-v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [4, 4], [
0, 0]]]], [[3, 16, 9, 8, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 <
x, y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [2, 2], [0, 0], [0, 0]]]], [[4, 3, 5, 1, 1], [
v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u^2-x, z < -(-
x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304],
[-1/2, -1/2], [-3, -3], [-3, -3]]]], [[4, 3, 5, 1, 2], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-3, -3], [-7846825/4194304, -980853/524288]]]], [[4, 3, 5, 1, 3], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u^2-x, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[4, 3, 5, 1, 4], [v = -1
, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u^2-x, z = (-x-y)^(1
/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2,
-1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[4, 3, 5, 1, 5], [v = -\
1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y < -u^2-x, (-x-y)^(1/2)
< z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2,
-1/2], [-3, -3], [3, 3]]]], [[4, 5, 3, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1
), And(-u^2 < x,x < -1), -x < y, z = z], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [3, 3], [0,
0]]]], [[4, 11, 5, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-\
2), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [239655/
1048576, 29957/131072], [-2, -2]]]], [[4, 11, 5, 6, 2], [v = -1, And(1 < u,u <
2^(1/2)), And(-1 < x,x < u^2-2), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [239655/1048576, 29957/131072], [-772605/1048576,
-1545209/2097152]]]], [[4, 11, 5, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(
-1 < x,x < u^2-2), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [239655/1048576, 29957/131072], [-1/4194304, -1/
4194304]]]], [[4, 11, 5, 6, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x
< u^2-2), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [
239655/1048576, 29957/131072], [193151/262144, 772605/1048576]]]], [[4, 11, 5,
6, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = u^2-x-2, (-
u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [239655/1048576, 29957/131072]
, [2, 2]]]], [[4, 13, 4, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1,
And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[4, 13, 4, 5, 2
], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)
^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -\
1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[4, 13, 4, 5, 3], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1, -1], [1/2, 1/2], [0, 0]]]], [[4, 13, 4, 5, 4], [v = -1, And(2^(
1/2) < u,u < 3^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[4, 13, 4, 5, 5], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain
, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [1/2, 1/2], [2, 2]]
]], [[5, 1, 8, 7, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, And(0 < y
,y < u^2-v^2-2), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [27/
8, 27/8], [0, 0]]]], [[5, 3, 5, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [1/2, 1/2], [-1,
-1]]]], [[5, 3, 5, 6, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[5, 3,
5, 6, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(
-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[5, 12, 4, 5, 1], [And(
-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [1/2, 1/2], [-2, -2]]]],
[[5, 12, 4, 5, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y
< 1), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[5, 12, 4, 5, 3], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,
z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [1/2,
1/2], [0, 0]]]], [[5, 12, 4, 5, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x =
-1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3
/2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[5, 12, 4, 5, 5]
, [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [1/2, 1/2], [2, 2]]
]], [[6, 1, 1, 4, 1], [v = 0, u < -2^(1/2), x < -u^2-1, y = -u^2-x-1, z < -(u^
2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1, 1], [-5, -5]]]
], [[6, 1, 1, 4, 2], [v = 0, u < -2^(1/2), x < -u^2-1, y = -u^2-x-1, z = -(u^2
+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [1, 1], [-3315889/
1048576, -207243/65536]]]], [[6, 1, 1, 4, 3], [v = 0, u < -2^(1/2), x < -u^2-1
, y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[
0, 0], [-3, -3], [-11, -11], [1, 1], [0, 0]]]], [[6, 1, 1, 4, 4], [v = 0, u <
-2^(1/2), x < -u^2-1, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0
], [-3, -3], [-11, -11], [1, 1], [207243/65536, 3315889/1048576]]]], [[6, 1, 1
, 4, 5], [v = 0, u < -2^(1/2), x < -u^2-1, y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [-11, -11], [1, 1], [5, 5]]]], [[6, 4, 7, 2,
1], [v = 0, u = -1, And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[6, 4, 7, 2, 2], [v
= 0, u = -1, And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[0, 0
], [-1, -1], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]],
[[6, 4, 7, 2, 3], [v = 0, u = -1, And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z
,z < 2^(1/2))], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-5/2, -5/2], [
0, 0]]]], [[6, 4, 7, 2, 4], [v = 0, u = -1, And(0 < x,x < 1), y = -x-2, z = 2^
(1/2)], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-5/2, -5/2], [741455/
524288, 1482911/1048576]]]], [[6, 4, 7, 2, 5], [v = 0, u = -1, And(0 < x,x < 1
), y = -x-2, 2^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-5/
2, -5/2], [3, 3]]]], [[6, 6, 5, 6, 1], [v = 0, u = 0, And(0 < x,x < 1), y = 0,
z = z], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [0, 0], [0, 0]]]], [[7, 1
, 2, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 2*u^2-2
*v^2, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [35/2, 35
/2], [0, 0]]]], [[7, 2, 8, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1
, And(-1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1]
, [-1/2, -1/2], [0, 0]]]], [[7, 6, 7, 3, 1], [And(0 < v,v < 1), u = -v, 1 < x,
And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1/2,
-1/2], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[7, 6, 7, 3, 2], [And(0 < v,v < 1),
u = -v, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [-1/2, -1/2], [2, 2], [-5/2, -5/2], [-1482911/2097152, -741455/1048576
]]]], [[7, 6, 7, 3, 3], [And(0 < v,v < 1), u = -v, 1 < x, And(-1-x < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1/2
, -1/2], [2, 2], [-5/2, -5/2], [0, 0]]]], [[7, 6, 7, 3, 4], [And(0 < v,v < 1),
u = -v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [-1/2, -1/2], [2, 2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[
7, 6, 7, 3, 5], [And(0 < v,v < 1), u = -v, 1 < x, And(-1-x < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [2, 2], [-5/2, -5/2],
[2, 2]]]], [[7, 8, 7, 7, 1], [And(0 < v,v < 1), u = v, 1 < x, 0 < y, z = z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [1, 1], [0, 0]]]], [[7, 11, 9,
2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^
2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152],
[-418813/131072, -3350503/1048576], [-3, -3]]]], [[7, 11, 9, 2, 2], [And(0 < v
,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y
= -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-418813/131072, -\
3350503/1048576], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 9, 2, 3],
[And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x
,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152,
1534619/2097152], [-418813/131072, -3350503/1048576], [0, 0]]]], [[7, 11, 9, 2
, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2
-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-\
418813/131072, -3350503/1048576], [1645805/1048576, 822903/524288]]]], [[7, 11
, 9, 2, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u
^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152
], [-418813/131072, -3350503/1048576], [3, 3]]]], [[7, 13, 6, 3, 1], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-39/8, -39/8], [-4, -4]]]], [
[7, 13, 6, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1
< y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-\
39/8, -39/8], [-1157597/524288, -2315193/1048576]]]], [[7, 13, 6, 3, 3], [And(
0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(
1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-39/8
, -39/8], [0, 0]]]], [[7, 13, 6, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [3, 3], [0, 0], [-39/8, -39/8], [2315193/1048576, 1157597/524288]]]], [[7, 
13, 6, 3, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,
y < 0), (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [0, 0], [-39/8,
-39/8], [4, 4]]]], [[8, 3, 10, 5, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x = 1, And(-1 < y,y < u^2-3), z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [1, 1], [-799673/1048576, -799673/1048576], [0, 0]
]]], [[8, 5, 9, 8, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y =
0, z = z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2
, 1/2], [0, 0], [0, 0]]]], [[8, 11, 10, 8, 1], [v = 1, And(1 < u,u < 2^(1/2)),
x = 1, y = 0, z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1, 1], [0, 0], [0, 0]]]], [[8, 13, 10, 2, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), x = 1, y = -u^2-1, z < -u], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [1, 1], [-1821767/524288, -3643533/1048576], [-3, -\
3]]]], [[8, 13, 10, 2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u
^2-1, z = -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1
, 1], [-1821767/524288, -3643533/1048576], [-3299097/2097152, -3299097/2097152
]]]], [[8, 13, 10, 2, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^
2-1, And(-u < z,z < u)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [1, 1], [-1821767/524288, -3643533/1048576], [-1/4194304, -1/4194304
]]]], [[8, 13, 10, 2, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^
2-1, z = u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1,
1], [-1821767/524288, -3643533/1048576], [412387/262144, 1649549/1048576]]]],
[[8, 13, 10, 2, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 1, y = -u^2-1, u
< z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [1, 1], [-\
1821767/524288, -3643533/1048576], [3, 3]]]], [[9, 2, 3, 2, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [-1, -1], [-3, -3]]]], [[9, 2, 3, 2, 2], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]],
[[9, 2, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x <
-1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [-1
, -1], [-1/4194304, -1/4194304]]]], [[9, 2, 3, 2, 4], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [
-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[9, 2, 3, 2, 5], [And
(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152,
-7798593/4194304], [-2, -2], [-1, -1], [3, 3]]]], [[9, 3, 11, 5, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-x < y,
y < u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-14373233/8388608, -14373233/8388608], [2, 2], [-7384677/4194304, -7384677/
4194304], [0, 0]]]], [[9, 13, 2, 5, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-
v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [2519283/
2097152, 2519283/2097152], [-2, -2]]]], [[9, 13, 2, 5, 2], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^
2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [2519283/2097152, 2519283/2097152], [-541047/1048576, -\
1082093/2097152]]]], [[9, 13, 2, 5, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-
v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144
, -1538811/1048576], [2519283/2097152, 2519283/2097152], [-1/4194304, -1/
4194304]]]], [[9, 13, 2, 5, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576
, 1454701/1048576], [-384703/262144, -1538811/1048576], [2519283/2097152, 
2519283/2097152], [270523/524288, 541047/1048576]]]], [[9, 13, 2, 5, 5], [And(
1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*
v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144
, -1538811/1048576], [2519283/2097152, 2519283/2097152], [2, 2]]]], [[9, 15, 1
, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
< -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [4696269/1048576,
2348135/524288], [0, 0]]]], [[10, 1, 5, 8, 1], [v = 2^(1/2), u < -2, And(-1 <
x,x < 0), y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [-1/2, -1/2], [13/2, 13/2], [0, 0]]]], [[10, 3, 3, 4, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, z < -(-
x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [0, 0], [-3,
-3]]]], [[10, 3, 3, 4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1
< x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/
2097152], [0, 0], [-1383575/1048576, -691787/524288]]]], [[10, 3, 3, 4, 3], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [0
, 0], [0, 0]]]], [[10, 3, 3, 4, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), 
And(-u^2+1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-3651195/
2097152, -3651195/2097152], [0, 0], [691787/524288, 1383575/1048576]]]], [[10,
3, 3, 4, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y
= 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [0,
0], [3, 3]]]], [[10, 9, 2, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3,
y = -2*u^2+4, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2
, -1/2], [-11/4, -11/4], [7/2, 7/2], [0, 0]]]], [[10, 10, 9, 2, 1], [v = 2^(1/
2), u = 0, 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [2, 2], [-5, -5], [-3, -3]]]], [[10, 10, 9, 2, 2], [
v = 2^(1/2), u = 0, 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 10, 9, 2, 3], [v = 2^(1/2), u = 0, 1 < x, y = -x-3,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[10, 10, 9,
2, 4], [v = 2^(1/2), u = 0, 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [2, 2], [-5, -5], [908093/524288, 
1816187/1048576]]]], [[10, 10, 9, 2, 5], [v = 2^(1/2), u = 0, 1 < x, y = -x-3,
3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2
], [-5, -5], [3, 3]]]], [[10, 14, 7, 5, 1], [v = 2^(1/2), u = v, 1 < x, And(-x
< y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [741455
/524288, 1482911/1048576], [2, 2], [-1, -1], [0, 0]]]], [[10, 16, 8, 6, 1], [v
= 2^(1/2), u = 3^(1/2), x = 1, y = 0, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [0, 0], [0, 0]]]],
[[10, 19, 5, 8, 1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = u^2-x-3, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [
13/2, 13/2], [0, 0]]]], [[11, 2, 1, 2, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), x
< -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [-4, -4], [0, 0], [-3, -3]]]], [[11, 2, 1, 2, 2], [2^(1/2) <
v, u = -(v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3
], [-1738867/524288, -3477733/1048576], [-4, -4], [0, 0], [-2, -2]]]], [[11, 2
, 1, 2, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [-4, -4], [0, 0], [0, 0]]]], [[11, 2, 1, 2, 4], [2^(1/2) < v, u = -(
v^2+2)^(1/2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [0, 0], [2, 2]]]], [[11, 2, 1, 2,
5], [2^(1/2) < v, u = -(v^2+2)^(1/2), x < -3, y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [-4, -4], [0, 0],
[3, 3]]]], [[11, 5, 9, 2, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 
And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-267551651/134217728, -\
133775825/67108864], [-3, -3]]]], [[11, 5, 9, 2, 2], [2^(1/2) < v, And(-(v^2+1
)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
267551651/134217728, -133775825/67108864], [-1281417/1048576, -160177/131072]]
]], [[11, 5, 9, 2, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x
,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
267551651/134217728, -133775825/67108864], [0, 0]]]], [[11, 5, 9, 2, 4], [2^(1
/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072
], [1/2, 1/2], [-267551651/134217728, -133775825/67108864], [160177/131072, 
1281417/1048576]]]], [[11, 5, 9, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-\
267551651/134217728, -133775825/67108864], [3, 3]]]], [[11, 7, 10, 1, 1], [2^(
1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1
/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [
-4, -4], [-3, -3]]]], [[11, 7, 10, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1
)^(1/2)), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 7, 10, 1, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-4, -4]
, [-1/4194304, -1/4194304]]]], [[11, 7, 10, 1, 4], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-4, -4], [908093/524288,
1816187/1048576]]]], [[11, 7, 10, 1, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [-4, -4], [3, 3]]]], [[11, 13, 4,
2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2
-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1, -1], [-3163225/2097152, -395403/262144], [-3, -3]]]], [[
11, 13, 4, 2, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1, -1], [-3163225/2097152, -395403/262144], [-\
3321417/2097152, -415177/262144]]]], [[11, 13, 4, 2, 3], [2^(1/2) < v, And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2
) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1, -1], [-3163225/2097152, -395403/262144], [0, 0]]]], [[11
, 13, 4, 2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1
, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1, -1], [-3163225/2097152, -395403/262144], [415177
/262144, 1660709/1048576]]]], [[11, 13, 4, 2, 5], [2^(1/2) < v, And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [-3163225/
2097152, -395403/262144], [3, 3]]]], [[11, 15, 3, 5, 1], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152
], [-657289/524288, -657289/524288], [399003/1048576, 399003/1048576], [-2, -2
]]]], [[11, 15, 3, 5, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-
v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [399003/1048576, 399003/1048576], [-1959643/2097152, -7838571/
8388608]]]], [[11, 15, 3, 5, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152
], [-657289/524288, -657289/524288], [399003/1048576, 399003/1048576], [-3/
16777216, -3/16777216]]]], [[11, 15, 3, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)
^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289
/524288, -657289/524288], [399003/1048576, 399003/1048576], [979821/1048576, 
489911/524288]]]], [[11, 15, 3, 5, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u <
v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [399003/1048576, 399003/1048576], [2, 2]]]], [[11, 19, 3, 8,
1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x
,x < -1), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [3396811/1048576,
3396811/1048576], [-915943/524288, -915943/524288], [1174965/524288, 2349931/
1048576], [0, 0]]]], [[11, 21, 1, 2, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x <
-u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -\
18], [0, 0], [-6, -6]]]], [[11, 21, 1, 2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u,
x < -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18
, -18], [0, 0], [-1112183/262144, -4448731/1048576]]]], [[11, 21, 1, 2, 3], [2
^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-18, -18], [0, 0], [0, 0]]]],
[[11, 21, 1, 2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = 0, z
= (-x)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [0, 0], [4448731/
1048576, 1112183/262144]]]], [[11, 21, 1, 2, 5], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-\
18, -18], [0, 0], [6, 6]]]], [[1, 5, 2, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-1, -1], [-3, -3]]]], [[1, 5, 2, 1, 2], [v < -2^(1/2), And(
-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-1, -1], [-3311519/2097152, -1655759/1048576]]]], [[1, 5, 2
, 1, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0,
And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [-1
, -1], [0, 0]]]], [[1, 5, 2, 1, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [-1, -\
1], [1655759/1048576, 103485/65536]]]], [[1, 5, 2, 1, 5], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [-1, -1], [3, 3]]]], [[1, 7, 2, 5, 1], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1),
z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [2644589/2097152, 
2644589/2097152], [-2, -2]]]], [[1, 7, 2, 5, 2], [v < -2^(1/2), And(v < u,u <
-(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u
^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [2644589/2097152, 2644589/
2097152], [-16263/32768, -520415/1048576]]]], [[1, 7, 2, 5, 3], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^
2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain
, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/
262144], [2644589/2097152, 2644589/2097152], [0, 0]]]], [[1, 7, 2, 5, 4], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y
< -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [2644589/
2097152, 2644589/2097152], [520415/1048576, 16263/32768]]]], [[1, 7, 2, 5, 5],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2
< y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [
2644589/2097152, 2644589/2097152], [2, 2]]]], [[1, 10, 9, 2, 1], [v < -2^(1/2)
, u = -(v^2-2)^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3
], [-5548543/2097152, -2774271/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[1, 
10, 9, 2, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)
], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [-\
5, -5], [-1816187/1048576, -3632373/2097152]]]], [[1, 10, 9, 2, 3], [v < -2^(1
/2), u = -(v^2-2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [-5, -\
5], [-1/4194304, -1/4194304]]]], [[1, 10, 9, 2, 4], [v < -2^(1/2), u = -(v^2-2
)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [-5548543/
2097152, -2774271/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]
]]], [[1, 10, 9, 2, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y = -x-3, 3^
(1/2) < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [
2, 2], [-5, -5], [3, 3]]]], [[1, 12, 5, 8, 1], [v < -2^(1/2), u = (v^2-2)^(1/2
), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[1, 18, 4, 6, 1],
[v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-3,
-3], [207243/65536, 3315889/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[1, 18,
4, 6, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [1, 1], [
0, 0]]]], [[1, 18, 4, 6, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, y = 1,
0 < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1],
[1, 1], [1, 1]]]], [[1, 20, 2, 6, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3
, y = 4, z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[-3, -3], [4, 4], [0, 0]]]], [[2, 2, 7, 3, 1], [v = -2^(1/2), u = -2, And(0 <
x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[2, 2
, 7, 3, 2], [v = -2^(1/2), u = -2, And(0 < x,x < 1), And(-x-3 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2],
[1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[2, 2, 7, 3, 3],
[v = -2^(1/2), u = -2, And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-2, -2], [1/2, 1/2], [-2, -2], [0, 0]]]], [[2, 2, 7, 3, 4], [v = -2^(1/2),
u = -2, And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-2,
-2], [642119/524288, 1284239/1048576]]]], [[2, 2, 7, 3, 5], [v = -2^(1/2), u =
-2, And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-2, -2], [3, 3]]]]
, [[2, 4, 5, 1, 1], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y < -x-2,
z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[2,
4, 5, 1, 2], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853
/524288]]]], [[2, 4, 5, 1, 3], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0),
y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[-3, -3], [0, 0]]]], [[2, 4, 5, 1, 4], [v = -2^(1/2), u = -3^(1/2), And(-1 < x
,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-3, -3],
[980853/524288, 1961707/1048576]]]], [[2, 4, 5, 1, 5], [v = -2^(1/2), u = -3^(
1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [-3, -3], [3, 3]]]], [[2, 7, 7, 1, 1], [v = -2^(1/2), And(v < u,u < -1)
, And(-u^2+1 < x,x < 0), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-3, -3], [-3, -3]]]], [[2, 7, 7, 1, 2], [v
= -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y < u^2-x-3, z = -(-x-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -3], [-\
7536399/4194304, -3768199/2097152]]]], [[2, 7, 7, 1, 3], [v = -2^(1/2), And(v
< u,u < -1), And(-u^2+1 < x,x < 0), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -3], [-1/
4194304, -1/4194304]]]], [[2, 7, 7, 1, 4], [v = -2^(1/2), And(v < u,u < -1), 
And(-u^2+1 < x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-3, -3], [1884099/1048576, 471025/262144]]]
], [[2, 7, 7, 1, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0),
y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/
1048576], [-3, -3], [3, 3]]]], [[2, 9, 5, 7, 1], [v = -2^(1/2), And(-1 < u,u <
0), And(-1 < x,x < 0), And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [7/8, 7/8], [0,
0]]]], [[2, 13, 3, 4, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x <
-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [0, 0], [-3, -3]]]], [[2, 13, 3, 4, 2], [v = -2^(1/2), And(1 < u,u <
-v), And(u^2-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [0, 0], [-591179/524288, -1182357/1048576]
]]], [[2, 13, 3, 4, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1
), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [0, 0], [0, 0]]]], [[2, 13, 3, 4, 4], [v = -2^(1/2
), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [0, 0], [1182357/1048576, 
591179/524288]]]], [[2, 13, 3, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), And(u^
2-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [0, 0], [3, 3]]]], [[2, 15, 3, 8, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [648739/524288, 1297479/1048576], [-1, -1]
]]], [[2, 15, 3, 8, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x
,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [
648739/524288, 1297479/1048576], [0, 0]]]], [[2, 15, 3, 8, 3], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [648739/524288, 1297479/
1048576], [1, 1]]]], [[3, 1, 7, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-\
4741081/524288, -9482161/1048576], [-4, -4]]]], [[3, 1, 7, 2, 2], [And(-2^(1/2
) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [1/2, 1/2], [-4741081/524288, -9482161/1048576], [-1532401/524288, -\
24518415/8388608]]]], [[3, 1, 7, 2, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2
)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [1/2, 1/2], [-4741081/524288, -9482161/1048576], [-7/16777216, -7/
16777216]]]], [[3, 1, 7, 2, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(0 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-4741081/524288, -\
9482161/1048576], [3064801/1048576, 1532401/524288]]]], [[3, 1, 7, 2, 5], [And
(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3, -3], [1/2, 1/2], [-4741081/524288, -9482161/1048576], [4, 4]]]], [[3, 3,
4, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1], [-3, -3
], [-3, -3]]]], [[3, 3, 4, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [-3, -3], [-2, -2]]]], [[3, 3, 4, 1, 3], [And(-2^
(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^
2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1, -1],
[-3, -3], [0, 0]]]], [[3, 3, 4, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1, -1], [-3, -3], [2, 2]]]], [[3, 3, 4, 1, 5], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+
v^2, (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1, -1], [-3, -3], [3, 3]]]], [[3, 7,
5, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x
,x < -u^2+v^2-1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-2, -2], [-3, -3]]]], [[3, 7, 5, 1, 2], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v
^2-1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152,
-1498947/2097152], [-2, -2], [-3455375/2097152, -1727687/1048576]]]], [[3, 7,
5, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x
,x < -u^2+v^2-1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2, -2], [0, 0]]]], [
[3, 7, 5, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And
(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-2, -2], [1727687/1048576, 215961/131072]
]]], [[3, 7, 5, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)
), And(-1 < x,x < -u^2+v^2-1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-2, -2], [3, 3]]]], [
[3, 9, 3, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), And(u^2-v^2-1 < x,x < -1), -u^2+v^2-x-1 < y, z = z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [4, 4], [0, 0]]]], [[3, 17, 9, 9, 1], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152
, 7909297/2097152], [4, 4], [0, 0]]]], [[4, 2, 4, 8, 1], [v = -1, u = -3^(1/2)
, x = -1, y = 2, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [2, 2], [0, 0]]]], [[4, 6, 2, 3, 1], [v = -1, u =
-1, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1, -1], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[4, 6, 2, 3, 2], [v = -1, u = -1,
x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -\
1], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[4, 6, 2, 3
, 3], [v = -1, u = -1, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1/2, 1/2], [0, 0]]]
], [[4, 6, 2, 3, 4], [v = -1, u = -1, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2
)], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1/2, 1/2], [741455/1048576
, 46341/65536]]]], [[4, 6, 2, 3, 5], [v = -1, u = -1, x = -1, And(0 < y,y < 1)
, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [1/2, 1/2],
[2, 2]]]], [[4, 8, 3, 2, 1], [v = -1, u = 0, And(-2 < x,x < -1), y = -x-2, z <
-2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-1/2, -1/2], [-3,
-3]]]], [[4, 8, 3, 2, 2], [v = -1, u = 0, And(-2 < x,x < -1), y = -x-2, z = -2
^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-1/2, -1/2], [-\
1482911/1048576, -741455/524288]]]], [[4, 8, 3, 2, 3], [v = -1, u = 0, And(-2
< x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -\
1], [0, 0], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[4, 8, 3, 2, 4], [v = -1,
u = 0, And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1],
[0, 0], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[4,
8, 3, 2, 5], [v = -1, u = 0, And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[4,
14, 2, 6, 1], [v = -1, u = 3^(1/2), x = -3, y = 4, z = z], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [-3, -3], [4, 4], [0, 0]]]], [[4, 15
, 10, 5, 1], [v = -1, 3^(1/2) < u, x = u^2-2, And(-u^2+2 < y,y < 0), z = z], [
regular_chain, [[-1, -1], [3, 3], [7, 7], [-7/2, -7/2], [0, 0]]]], [[5, 4, 4,
6, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = -1, y = 1, z < 0], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1, -1], [1
, 1], [-1, -1]]]], [[5, 4, 4, 6, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x
= -1, y = 1, z = 0], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1, -1], [1, 1], [0, 0]]]], [[5, 4, 4, 6, 3], [And(-1 < v,v < 0), u
= -(v^2+1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1, -1], [1, 1], [1, 1]]]], [[5, 6, 3, 3, 1
], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/4,
-1/4], [-2, -2]]]], [[5, 6, 3, 3, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x
< 0), And(-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-1/2, -1/2], [-1/2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]
]]], [[5, 6, 3, 3, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(-1-x
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/8388608]]]],
[[5, 6, 3, 3, 4], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(-1-x < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -\
1/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]]], [[5, 6, 3, 3, 5], [And
(-1 < v,v < 0), u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/4, -1/4], [
2, 2]]]], [[5, 9, 7, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-312209/2097152, -312209/2097152], [-2, -2]]]], [
[5, 9, 7, 5, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^
2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -\
1248837/4194304], [-312209/2097152, -312209/2097152], [-700759/1048576, -\
1401517/2097152]]]], [[5, 9, 7, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/2097152, -\
312209/2097152], [-1/4194304, -1/4194304]]]], [[5, 9, 7, 5, 4], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152
, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/2097152, -\
312209/2097152], [350379/524288, 700759/1048576]]]], [[5, 9, 7, 5, 5], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(u^2-v
^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/
2097152, -312209/2097152], [2, 2]]]], [[5, 11, 6, 2, 1], [And(-1 < v,v < 0), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0,
0], [-2583195/1048576, -1291597/524288], [-3, -3]]]], [[5, 11, 6, 2, 2], [And(
-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [-3291611/2097152
, -1645805/1048576]]]], [[5, 11, 6, 2, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [0, 0], [-2583195/1048576, -1291597/524288], [0, 0]]]], [[5, 11, 6, 2
, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y =
-u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [1645805/
1048576, 822903/524288]]]], [[5, 11, 6, 2, 5], [And(-1 < v,v < 0), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [0, 0], [-\
2583195/1048576, -1291597/524288], [3, 3]]]], [[6, 1, 10, 4, 1], [v = 0, u < -
2^(1/2), x = u^2-1, y = -u^2+1, z < 0], [regular_chain, [[0, 0], [-3, -3], [8,
8], [-8, -8], [-1, -1]]]], [[6, 1, 10, 4, 2], [v = 0, u < -2^(1/2), x = u^2-1,
y = -u^2+1, z = 0], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-8, -8], [0, 0
]]]], [[6, 1, 10, 4, 3], [v = 0, u < -2^(1/2), x = u^2-1, y = -u^2+1, 0 < z],
[regular_chain, [[0, 0], [-3, -3], [8, 8], [-8, -8], [1, 1]]]], [[6, 3, 7, 5,
1], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), And(-x < y,y < 0),
z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655
/1048576, 239655/1048576], [-239655/2097152, -239655/2097152], [0, 0]]]], [[6,
9, 7, 6, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), y = 0, z =
z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
1048576, 239655/1048576], [0, 0], [0, 0]]]], [[6, 11, 4, 5, 1], [v = 0, 2^(1/2
) < u, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [
3, 3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[6, 11, 4, 5, 2], [v = 0, 2^(1/2) <
u, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [3, 3
], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[6, 11, 4, 5
, 3], [v = 0, 2^(1/2) < u, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1, -1], [1/2, 1/2], [0, 0]]]
], [[6, 11, 4, 5, 4], [v = 0, 2^(1/2) < u, x = -1, And(0 < y,y < 1), z = (1-y)
^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[6, 11, 4, 5, 5], [v = 0, 2^(1/2) < u, x = -1, And(
0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-1, -1], [1/
2, 1/2], [2, 2]]]], [[7, 3, 8, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [1, 1],
[0, 0]]]], [[7, 5, 7, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, And(u^2-v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/
2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304]
, [0, 0], [-2, -2]]]], [[7, 5, 7, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(u^2-v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain
, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -\
1248837/4194304], [0, 0], [-1144335/2097152, -572167/1048576]]]], [[7, 5, 7, 6
, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x <
0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [0
, 0], [0, 0]]]], [[7, 5, 7, 6, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u
< -v), And(u^2-v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2
, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/
4194304], [0, 0], [572167/1048576, 71521/131072]]]], [[7, 5, 7, 6, 5], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = 0, (
-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [0, 0], [2, 2]]]], [[8, 1, 4,
2, 1], [v = 1, u < -3^(1/2), x = -1, y = -u^2+1, z < u], [regular_chain, [[1,
1], [-3, -3], [-1, -1], [-8, -8], [-4, -4]]]], [[8, 1, 4, 2, 2], [v = 1, u < -
3^(1/2), x = -1, y = -u^2+1, z = u], [regular_chain, [[1, 1], [-3, -3], [-1, -\
1], [-8, -8], [-3, -3]]]], [[8, 1, 4, 2, 3], [v = 1, u < -3^(1/2), x = -1, y =
-u^2+1, And(u < z,z < -u)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-8,
-8], [0, 0]]]], [[8, 1, 4, 2, 4], [v = 1, u < -3^(1/2), x = -1, y = -u^2+1, z
= -u], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-8, -8], [3, 3]]]], [[8,
1, 4, 2, 5], [v = 1, u < -3^(1/2), x = -1, y = -u^2+1, -u < z], [regular_chain
, [[1, 1], [-3, -3], [-1, -1], [-8, -8], [4, 4]]]], [[8, 3, 1, 5, 1], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4
], [2896825/1048576, 2896825/1048576], [-3, -3]]]], [[8, 3, 1, 5, 2], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4
], [2896825/1048576, 2896825/1048576], [-145801/131072, -1166407/1048576]]]],
[[8, 3, 1, 5, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [-4, -4], [2896825/1048576, 2896825/
1048576], [0, 0]]]], [[8, 3, 1, 5, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)),
x < -u^2, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-4, -4], [2896825/1048576, 2896825/
1048576], [1166407/1048576, 145801/131072]]]], [[8, 3, 1, 5, 5], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [
2896825/1048576, 2896825/1048576], [3, 3]]]], [[8, 7, 2, 1, 1], [v = 1, And(-1
< u,u < 0), x = u^2-2, y < 0, z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1],
[-1/2, -1/2], [-7/4, -7/4], [-1, -1], [-3, -3]]]], [[8, 7, 2, 1, 2], [v = 1, 
And(-1 < u,u < 0), x = u^2-2, y < 0, z = -(-u^2-y+2)^(1/2)], [regular_chain, [
[1, 1], [-1/2, -1/2], [-7/4, -7/4], [-1, -1], [-1738867/1048576, -3477733/
2097152]]]], [[8, 7, 2, 1, 3], [v = 1, And(-1 < u,u < 0), x = u^2-2, y < 0, 
And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [-1
/2, -1/2], [-7/4, -7/4], [-1, -1], [-1/4194304, -1/4194304]]]], [[8, 7, 2, 1,
4], [v = 1, And(-1 < u,u < 0), x = u^2-2, y < 0, z = (-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [-1, -1], [869433/524288,
1738867/1048576]]]], [[8, 7, 2, 1, 5], [v = 1, And(-1 < u,u < 0), x = u^2-2, y
< 0, (-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4
], [-1, -1], [3, 3]]]], [[8, 9, 1, 4, 1], [v = 1, And(0 < u,u < 1), x < u^2-2,
y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -\
3], [5/4, 5/4], [-3, -3]]]], [[8, 9, 1, 4, 2], [v = 1, And(0 < u,u < 1), x < u
^2-2, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2],
[-3, -3], [5/4, 5/4], [-10837/8192, -1387135/1048576]]]], [[8, 9, 1, 4, 3], [v
= 1, And(0 < u,u < 1), x < u^2-2, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u
^2+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [5/4, 5/4], [0,
0]]]], [[8, 9, 1, 4, 4], [v = 1, And(0 < u,u < 1), x < u^2-2, y = u^2-x-2, z =
(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [5/4, 5/4], [
1387135/1048576, 10837/8192]]]], [[8, 9, 1, 4, 5], [v = 1, And(0 < u,u < 1), x
< u^2-2, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2]
, [-3, -3], [5/4, 5/4], [3, 3]]]], [[8, 14, 7, 8, 1], [v = 1, u = 3^(1/2), And
(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[9, 1, 5, 2, 1], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576], [-4, -4]]]], [[9, 1, 5
, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576],
[-1532401/524288, -24518415/8388608]]]], [[9, 1, 5, 2, 3], [And(1 < v,v < 2^(1
/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576],
[-7/16777216, -7/16777216]]]], [[9, 1, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [-\
4216793/524288, -8433585/1048576], [3064801/1048576, 1532401/524288]]]], [[9,
1, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-1/2, -1/2], [-4216793/524288, -8433585/1048576],
[4, 4]]]], [[9, 5, 2, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u
< -v), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [0, 0], [-3, -3]]]], [[9, 5, 2, 2, 2], [And(
1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [0, 0]
, [-1270261/1048576, -317565/262144]]]], [[9, 5, 2, 2, 3], [And(1 < v,v < 2^(1
/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/
262144], [0, 0], [0, 0]]]], [[9, 5, 2, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [0, 0], [317565/262144,
1270261/1048576]]]], [[9, 5, 2, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [0, 0], [3, 3]]]], [[9,
7, 3, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-149551/1048576, -\
149551/1048576], [-3, -3]]]], [[9, 7, 3, 3, 2], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-\
149551/1048576, -149551/1048576], [-1252981/1048576, -313245/262144]]]], [[9,
7, 3, 3, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [-149551/
1048576, -149551/1048576], [0, 0]]]], [[9, 7, 3, 3, 4], [And(1 < v,v < 2^(1/2)
), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/
2097152], [-149551/1048576, -149551/1048576], [313245/262144, 1252981/1048576]
]]], [[9, 7, 3, 3, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [-149551/1048576, -\
149551/1048576], [3, 3]]]], [[9, 9, 10, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [1, 1], [0, 0]]]], [[9, 11,
10, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, And(u
^2-v^2-2 < y,y < -u^2+v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-8388609
/4194304, -8388609/4194304], [-3, -3]]]], [[9, 11, 10, 3, 2], [And(1 < v,v < 2
^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2
), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [-8388609/4194304, -8388609/4194304],
[-1048577/1048576, -1]]]], [[9, 11, 10, 3, 3], [And(1 < v,v < 2^(1/2)), And((v
^2-1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), And(-(-y-1)^
(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [-8388609/4194304, -\
8388609/4194304], [0, 0]]]], [[9, 11, 10, 3, 4], [And(1 < v,v < 2^(1/2)), And(
(v^2-1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576,
987341/1048576], [1, 1], [-8388609/4194304, -8388609/4194304], [1, 1048577/
1048576]]]], [[9, 11, 10, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), (-y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-8388609/4194304, -8388609/4194304], [3, 3]]]], [[9, 15, 10
, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [0, 0], [0, 0]]]], [[9, 17, 8, 2, 1], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1,
1], [-20012899/2097152, -10006449/1048576], [-4, -4]]]], [[9, 17, 8, 2, 2], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1,
1], [-20012899/2097152, -10006449/1048576], [-1532401/524288, -24518415/
8388608]]]], [[9, 17, 8, 2, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-20012899
/2097152, -10006449/1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 8, 2, 4]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y = -u^2+v^2-2, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1
, 1], [-20012899/2097152, -10006449/1048576], [3064801/1048576, 1532401/524288
]]]], [[9, 17, 8, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y
= -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1, 1], [-20012899/2097152, -10006449/1048576], [4,
4]]]], [[10, 5, 11, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y <
-u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-6598195/4194304, -6598195/4194304], [2, 2], [-5, -5], [-3, -3]]]], [[10,
5, 11, 1, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y < -u^2-x+1, z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [2, 2], [-5, -5], [-1816187/1048576, -3632373/
2097152]]]], [[10, 5, 11, 1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x
, y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2],
[-5, -5], [-1/4194304, -1/4194304]]]], [[10, 5, 11, 1, 4], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), 1 < x, y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2]
, [-5, -5], [908093/524288, 1816187/1048576]]]], [[10, 5, 11, 1, 5], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), 1 < x, y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [2, 2], [-5, -5], [3, 3]]]], [[10, 7, 11, 9, 1], [v = 2^(1/2), And(-
v < u,u < -1), 1 < x, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[
10, 11, 9, 2, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = u
^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [-3, -3]]]], [[10, 11, 9, 2, 2], [v
= 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = u^2-x-3, z = -(-u^2+3)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8,
7/8], [-29/8, -29/8], [-1738867/1048576, -3477733/2097152]]]], [[10, 11, 9, 2,
3], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = u^2-x-3, And(-(
-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [-1/4194304, -1/
4194304]]]], [[10, 11, 9, 2, 4], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 <
x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [869433/524288, 
1738867/1048576]]]], [[10, 11, 9, 2, 5], [v = 2^(1/2), And(0 < u,u < 1), And(-
u^2+1 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-29/8, -29/8], [3, 3]]]], [
[10, 13, 8, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(u^2-3 < y,y < -u
^2+1), z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [-2, -2]]]], [[10, 13, 8,
3, 2], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(u^2-3 < y,y < -u^2+1), z = -
(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[10, 13, 8, 3, 3],
[v = 2^(1/2), And(1 < u,u < v), x = 0, And(u^2-3 < y,y < -u^2+1), And(-(-y)^(1
/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-1, -1], [0, 0]]]], [[10, 13, 8, 3
, 4], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(u^2-3 < y,y < -u^2+1), z = (-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576
, 1265743/1048576], [0, 0], [-1, -1], [1, 1]]]], [[10, 13, 8, 3, 5], [v = 2^(1
/2), And(1 < u,u < v), x = 0, And(u^2-3 < y,y < -u^2+1), (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[11, 3, 1, 1, 1], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z < -(-x-y)^(1/2)
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-\
1, -1], [-4, -4]]]], [[11, 3, 1, 1, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-1, -1], [-146543/
65536, -2344687/1048576]]]], [[11, 3, 1, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[-4, -4], [-1, -1], [0, 0]]]], [[11, 3, 1, 1, 4], [2^(1/2) < v, And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-1, -\
1], [2344687/1048576, 146543/65536]]]], [[11, 3, 1, 1, 5], [2^(1/2) < v, And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [-\
1, -1], [4, 4]]]], [[11, 4, 9, 2, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x,
y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [2, 2], [-4, -4], [-3, -3]]]], [[11, 4, 9, 2, 2], [2^(1/2) < v, u = -(
v^2+1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [2, 2], [-4, -4], [-1482911/1048576, -741455/
524288]]]], [[11, 4, 9, 2, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, y = -x
-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576
, -207243/65536], [2, 2], [-4, -4], [0, 0]]]], [[11, 4, 9, 2, 4], [2^(1/2) < v
, u = -(v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [2, 2], [-4, -4], [741455/524288, 1482911/
1048576]]]], [[11, 4, 9, 2, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, y = -
x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[2, 2], [-4, -4], [3, 3]]]], [[11, 8, 9, 5, 1], [2^(1/2) < v, u = -(v^2-1)^(1/
2), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-2965821/
1048576, -11863283/4194304], [2, 2], [-1, -1], [0, 0]]]], [[11, 10, 7, 1, 1],
[2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2
)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2],
[-5, -5], [-4, -4]]]], [[11, 10, 7, 1, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), 
And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [-5, -5], [-1112183/524288, -\
2224365/1048576]]]], [[11, 10, 7, 1, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And
(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-5,
-5], [0, 0]]]], [[11, 10, 7, 1, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 <
x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/
524288]]]], [[11, 10, 7, 1, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x
< 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1/2, 1/2], [-5, -5], [4, 4]]]], [[11, 16, 1, 2, 1], [2^(1/
2) < v, u = v, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [3, 3
], [-2, -2], [0, 0], [-3, -3]]]], [[11, 16, 1, 2, 2], [2^(1/2) < v, u = v, x <
-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [0, 0]
, [-1482911/1048576, -741455/524288]]]], [[11, 16, 1, 2, 3], [2^(1/2) < v, u =
v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3
], [3, 3], [-2, -2], [0, 0], [0, 0]]]], [[11, 16, 1, 2, 4], [2^(1/2) < v, u =
v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2],
[0, 0], [741455/524288, 1482911/1048576]]]], [[11, 16, 1, 2, 5], [2^(1/2) < v,
u = v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-2, -\
2], [0, 0], [3, 3]]]], [[11, 18, 2, 3, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x
= -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[11, 18, 2, 3, 2], [2
^(1/2) < v, u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2], [1, 1], [-1
, -1]]]], [[11, 18, 2, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, And(0 <
y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-2, -2], [1, 1], [0, 0]]]], [[11, 18, 2, 3, 4
], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)]
, [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-2, -2], [1, 1],
[1, 1]]]], [[11, 18, 2, 3, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x = -2, And(0
< y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-2, -2], [1, 1], [2, 2]]]], [[11, 21, 9, 8, 1], [2^(1/2) < v, (v^2+
2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[3, 3], [5, 5], [8, 8], [7, 7], [0, 0]]]], [[1, 5, 2, 4, 1], [
v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^2,
z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-195745/131072, -1565959/1048576], [517383/524288, 1034767/1048576],
[-2, -2]]]], [[1, 5, 2, 4, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
= -u^2+v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [
517383/524288, 1034767/1048576], [-373161/524288, -1492643/2097152]]]], [[1, 5
, 2, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y =
2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [517383/524288, 1034767/1048576], [-1/4194304, -1/4194304]]]
], [[1, 5, 2, 4, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^
2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [517383/
524288, 1034767/1048576], [746321/1048576, 373161/524288]]]], [[1, 5, 2, 4, 5]
, [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = 2*u^2-2*v^
2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [517383/524288, 1034767/
1048576], [2, 2]]]], [[1, 7, 3, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/
2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289
/524288, -657289/524288], [399003/1048576, 399003/1048576], [-2, -2]]]], [[1,
7, 3, 5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [
399003/1048576, 399003/1048576], [-1959643/2097152, -7838571/8388608]]]], [[1,
7, 3, 5, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [399003/1048576, 399003/1048576], [-3/16777216, -3/
16777216]]]], [[1, 7, 3, 5, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [399003/1048576, 399003/1048576], [979821/1048576, 
489911/524288]]]], [[1, 7, 3, 5, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/
2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [399003/1048576, 399003/1048576], [2, 2]]]], [[1, 10,
9, 3, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576
], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[1, 10, 9, 3, 2], [v < -2^(1/2), u = -(
v^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [-7/2, -7/2], [-\
1284239/1048576, -642119/524288]]]], [[1, 10, 9, 3, 3], [v < -2^(1/2), u = -(v
^2-2)^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2],
[-7/2, -7/2], [0, 0]]]], [[1, 10, 9, 3, 4], [v < -2^(1/2), u = -(v^2-2)^(1/2),
1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [-7/2, -7/2], [642119/524288, 
1284239/1048576]]]], [[1, 10, 9, 3, 5], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 <
x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [-7/2, -7/2], [3, 3]]]], [[1, 12,
6, 4, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [0, 0], [-1,
-1]]]], [[1, 12, 6, 4, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y = 0, z =
0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [0, 0],
[0, 0]]]], [[1, 12, 6, 4, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y = 0,
0 < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [0,
0], [1, 1]]]], [[1, 18, 5, 2, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x
,x < 0), y = -x-2, z < -2^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[1, 18, 5, 2, 2],
[v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-3/
2, -3/2], [-1482911/1048576, -741455/524288]]]], [[1, 18, 5, 2, 3], [v < -2^(1
/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2
], [-3/2, -3/2], [0, 0]]]], [[1, 18, 5, 2, 4], [v < -2^(1/2), u = (v^2+1)^(1/2
), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 
1482911/1048576]]]], [[1, 18, 5, 2, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), And(
-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[1, 20, 3, 6,
1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [2, 2],
[-1, -1]]]], [[1, 20, 3, 6, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), y = -x, z = 0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-2, -2], [2, 2], [0, 0]]]], [[1, 20, 3, 6, 3], [v < -2^(1/2), u = (v
^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-2, -2], [2, 2], [1, 1]]]], [[2, 2, 7, 4, 1
], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-1/2, -1/2], [-1, -1
]]]], [[2, 2, 7, 4, 2], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y = -x, z = 0
], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2],
[-1/2, -1/2], [0, 0]]]], [[2, 2, 7, 4, 3], [v = -2^(1/2), u = -2, And(0 < x,x
< 1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2
, -2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[2, 4, 5, 6, 1], [v = -2^(1/2), u
= -3^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[1/2, 1/2], [-1, -1]]]], [[2, 4, 5, 6, 2], [v = -2^(1/2), u = -3^(1/2), And(-1
< x,x < 0), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]],
[[2, 4, 5, 6, 3], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y = -x, 0 <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 7, 6, 3, 1], [v =
-2^(1/2), And(v < u,u < -1), x = -u^2+1, And(2*u^2-4 < y,y < 0), z < -(u^2-y-1
)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [-569265/
1048576, -569265/1048576], [-2, -2]]]], [[2, 7, 6, 3, 2], [v = -2^(1/2), And(v
< u,u < -1), x = -u^2+1, And(2*u^2-4 < y,y < 0), z = -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265
/1048576], [-2199022958689/2199023255552, -4398045917377/4398046511104]]]], [[
2, 7, 6, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(2*u^2-4 < y,
y < 0), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
479311/1048576, -239655/524288], [-569265/1048576, -569265/1048576], [-3600577
/8796093022208, -3600577/8796093022208]]]], [[2, 7, 6, 3, 4], [v = -2^(1/2), 
And(v < u,u < -1), x = -u^2+1, And(2*u^2-4 < y,y < 0), z = (u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265
/1048576], [1048575/1048576, 1]]]], [[2, 7, 6, 3, 5], [v = -2^(1/2), And(v < u
,u < -1), x = -u^2+1, And(2*u^2-4 < y,y < 0), (u^2-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265
/1048576], [2, 2]]]], [[2, 9, 5, 6, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(
-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 9, 5, 6, 2]
, [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [1/2, 1/2], [0, 0]]]], [[2, 9, 5, 6, 3], [v = -2^(1/2), And(-1 < u,u < 0), 
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 13, 2, 4, 1]
, [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, y = -2*u^2+4, z < -(u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-3235683/2097152, -1617841/1048576], [569265/524288, 
1138531/1048576], [-2, -2]]]], [[2, 13, 2, 4, 2], [v = -2^(1/2), And(1 < u,u <
-v), x = u^2-3, y = -2*u^2+4, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [569265/524288, 1138531/1048576], [-1417877/
2097152, -354469/524288]]]], [[2, 13, 2, 4, 3], [v = -2^(1/2), And(1 < u,u < -
v), x = u^2-3, y = -2*u^2+4, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [569265/524288, 1138531/
1048576], [0, 0]]]], [[2, 13, 2, 4, 4], [v = -2^(1/2), And(1 < u,u < -v), x =
u^2-3, y = -2*u^2+4, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [569265/524288, 1138531/1048576], [354469/524288, 708939/
1048576]]]], [[2, 13, 2, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, y
= -2*u^2+4, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [569265/524288, 1138531/1048576], [2, 2]]]], [[2, 15, 3, 5, 1], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x
-3), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [
186677/524288, 186677/524288], [-2, -2]]]], [[2, 15, 3, 5, 2], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [186677/
524288, 186677/524288], [-1968771/2097152, -15750167/16777216]]]], [[2, 15, 3,
5, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(0 <
y,y < u^2-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [186677/524288, 186677/524288], [-7/
33554432, -7/33554432]]]], [[2, 15, 3, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^
(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [186677/524288, 186677/524288]
, [984385/1048576, 492193/524288]]]], [[2, 15, 3, 5, 5], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [186677/524288, 186677
/524288], [2, 2]]]], [[3, 1, 6, 4, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)
^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[3, 1, 6, 4, 2], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[3,
1, 6, 4, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, y = 0, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [
0, 0], [1, 1]]]], [[3, 3, 3, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-3647693/2097152, -3647693/2097152], [4, 4], [0, 0]]]], [
[3, 7, 4, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
-1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-\
598205/2097152, -598205/2097152], [-3, -3]]]], [[3, 7, 4, 3, 2], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z
= -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-598205/2097152, -598205/
2097152], [-594379/524288, -1188757/1048576]]]], [[3, 7, 4, 3, 3], [And(-2^(1/
2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-598205/
2097152, -598205/2097152], [0, 0]]]], [[3, 7, 4, 3, 4], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [-598205/2097152, -598205/2097152], [
1188757/1048576, 594379/524288]]]], [[3, 7, 4, 3, 5], [And(-2^(1/2) < v,v < -1
), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-1, -1], [-598205/2097152, -598205/2097152], [3, 3]]]],
[[3, 9, 3, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [1812519/1048576, 1812519/1048576], [-1, -1]]]], [[3, 9, 3, 6, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v
^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [1812519/1048576, 
1812519/1048576], [0, 0]]]], [[3, 9, 3, 6, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [1812519/1048576, 1812519/1048576], [1, 1]]]], [[3
, 17, 10, 1, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1,
y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-17, -\
17], [-5, -5]]]], [[3, 17, 10, 1, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2)
< u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-17, -17], [-847707/262144, -3390827/1048576]]]], [[3, 17,
10, 1, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2
*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-17, -17], [0, 0]]]], [[3, 17, 10, 1, 4], [And(-2^(1/2) <
v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
6860721/1048576, 3430361/524288], [-17, -17], [3390827/1048576, 847707/262144]
]]], [[3, 17, 10, 1, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2
-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288],
[-17, -17], [5, 5]]]], [[4, 2, 5, 4, 1], [v = -1, u = -3^(1/2), And(-1 < x,x <
0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4, 2, 5, 4, 2], [v = -1
, u = -3^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [-1482911
/2097152, -741455/1048576]]]], [[4, 2, 5, 4, 3], [v = -1, u = -3^(1/2), And(-1
< x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[
4, 2, 5, 4, 4], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2
)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1
/2], [0, 0], [741455/1048576, 46341/65536]]]], [[4, 2, 5, 4, 5], [v = -1, u =
-3^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [2, 2]]]], [[4,
6, 3, 1, 1], [v = -1, u = -1, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[4,
6, 3, 1, 2], [v = -1, u = -1, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-2, -2], [-3315889/2097152
, -207243/131072]]]], [[4, 6, 3, 1, 3], [v = -1, u = -1, And(-1 < x,x < 0), y
< -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
-1, -1], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[4, 6, 3, 1, 4], [v = -1, u = -1,
And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1
, -1], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/1048576]]]], [[4, 6, 3,
1, 5], [v = -1, u = -1, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[4, 8,
4, 2, 1], [v = -1, u = 0, x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[-1,
-1], [0, 0], [-1, -1], [-1, -1], [-3, -3]]]], [[4, 8, 4, 2, 2], [v = -1, u = 0
, x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1],
[-1, -1], [-1482911/1048576, -741455/524288]]]], [[4, 8, 4, 2, 3], [v = -1, u
= 0, x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1]
, [0, 0], [-1, -1], [-1, -1], [0, 0]]]], [[4, 8, 4, 2, 4], [v = -1, u = 0, x =
-1, y = -1, z = 2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1, -1
], [741455/524288, 1482911/1048576]]]], [[4, 8, 4, 2, 5], [v = -1, u = 0, x =
-1, y = -1, 2^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1, -1
], [3, 3]]]], [[4, 14, 2, 7, 1], [v = -1, u = 3^(1/2), x = -3, 4 < y, z = z],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [5, 5],
[0, 0]]]], [[4, 15, 11, 3, 1], [v = -1, 3^(1/2) < u, u^2-2 < x, And(-u^2-x < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-25/
2, -25/2], [-4, -4]]]], [[4, 15, 11, 3, 2], [v = -1, 3^(1/2) < u, u^2-2 < x, 
And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[8, 8], [-25/2, -25/2], [-1112183/524288, -2224365/1048576]]]], [[4, 15, 11, 3
, 3], [v = -1, 3^(1/2) < u, u^2-2 < x, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-25/2,
-25/2], [0, 0]]]], [[4, 15, 11, 3, 4], [v = -1, 3^(1/2) < u, u^2-2 < x, And(-u
^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [8, 8]
, [-25/2, -25/2], [2224365/1048576, 1112183/524288]]]], [[4, 15, 11, 3, 5], [v
= -1, 3^(1/2) < u, u^2-2 < x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [8, 8], [-25/2, -25/2], [4, 4]]]], [[5, 4, 5
, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2,
z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[5, 4, 5, 2, 2], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2]
, [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[5, 4, 5, 2, 3], [And(
-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) <
z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[5, 4, 5, 2, 4], [And(-1 < v
,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2]
, [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[5, 4, 5, 2, 5], [And(-1
< v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2]
, [-3/2, -3/2], [3, 3]]]], [[5, 6, 4, 3, 1], [And(-1 < v,v < 0), u = v, x = 0,
And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/
2], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[5, 6, 4, 3, 2], [And(-1 < v,v < 0), u
= v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1/2, -1/2], [0, 0], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]],
[[5, 6, 4, 3, 3], [And(-1 < v,v < 0), u = v, x = 0, And(-1 < y,y < 0), And(-(-
y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0
, 0], [-1/2, -1/2], [0, 0]]]], [[5, 6, 4, 3, 4], [And(-1 < v,v < 0), u = v, x
= 0, And(-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [0, 0], [-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[5, 6, 4, 3, 5
], [And(-1 < v,v < 0), u = v, x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-1/2, -1/2], [2, 2]]]], [
[5, 9, 6, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^
2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [312209/1048576, 312209/1048576], [-2, -2]]]], [[5, 9, 6, 5, 2], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(0 < y,y <
-u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [
312209/1048576, 312209/1048576], [-1144335/2097152, -572167/1048576]]]], [[5,
9, 6, 5, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1
/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [312209/1048576, 312209/1048576], [0, 0]]]]
, [[5, 9, 6, 5, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2
-v^2-1, And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [312209/1048576, 312209/1048576], [572167/1048576, 71521/131072]]]],
[[5, 9, 6, 5, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v
^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [312209/1048576, 312209/1048576], [2, 2]]]], [[5, 11, 5, 8, 1], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [505165/524288, 1010331/1048576], [0, 0]]]], [[6, 1, 9,
8, 1], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), y = u^2-x-1, z = z], [
regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [7/2, 7/2], [0, 0]]]], [[6, 3, 7
, 4, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), y = -x, z < 0
], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/
1048576, 239655/1048576], [-239655/1048576, -239655/1048576], [-1, -1]]]], [[6
, 3, 7, 4, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), y = -x,
z = 0], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655
/1048576, 239655/1048576], [-239655/1048576, -239655/1048576], [0, 0]]]], [[6,
3, 7, 4, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), y = -x, 0
< z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/
1048576, 239655/1048576], [-239655/1048576, -239655/1048576], [1, 1]]]], [[6,
9, 6, 6, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, y = u^2-1, z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0, 0], [239655/
524288, 479311/1048576], [0, 0]]]], [[6, 11, 4, 2, 1], [v = 0, 2^(1/2) < u, x
= -1, y = -u^2, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1, -1]
, [-9, -9], [-5, -5]]]], [[6, 11, 4, 2, 2], [v = 0, 2^(1/2) < u, x = -1, y = -
u^2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1, -1], [-9, -9],
[-3315889/1048576, -207243/65536]]]], [[6, 11, 4, 2, 3], [v = 0, 2^(1/2) < u,
x = -1, y = -u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain,
[[0, 0], [3, 3], [-1, -1], [-9, -9], [0, 0]]]], [[6, 11, 4, 2, 4], [v = 0, 2^(
1/2) < u, x = -1, y = -u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3
], [-1, -1], [-9, -9], [207243/65536, 3315889/1048576]]]], [[6, 11, 4, 2, 5],
[v = 0, 2^(1/2) < u, x = -1, y = -u^2, (u^2+1)^(1/2) < z], [regular_chain, [[0
, 0], [3, 3], [-1, -1], [-9, -9], [5, 5]]]], [[7, 3, 8, 2, 1], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^
2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [243021/524288, 486043/1048576], [-6138473/2097152, -24553891/
8388608], [-3, -3]]]], [[7, 3, 8, 2, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/
524288, 486043/1048576], [-6138473/2097152, -24553891/8388608], [-3291611/
2097152, -1645805/1048576]]]], [[7, 3, 8, 2, 3], [And(0 < v,v < 1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v
^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151
/262144, -343151/262144], [243021/524288, 486043/1048576], [-6138473/2097152,
-24553891/8388608], [0, 0]]]], [[7, 3, 8, 2, 4], [And(0 < v,v < 1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/524288, 486043/1048576], [-6138473/2097152, -24553891/8388608], [
1645805/1048576, 822903/524288]]]], [[7, 3, 8, 2, 5], [And(0 < v,v < 1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v
^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144
], [243021/524288, 486043/1048576], [-6138473/2097152, -24553891/8388608], [3,
3]]]], [[7, 5, 7, 5, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-312209/2097152, -312209/2097152], [-2, -2]]]], [
[7, 5, 7, 5, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^
2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -\
1248837/4194304], [-312209/2097152, -312209/2097152], [-700759/1048576, -\
1401517/2097152]]]], [[7, 5, 7, 5, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/2097152, -\
312209/2097152], [-1/4194304, -1/4194304]]]], [[7, 5, 7, 5, 4], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/2097152, -\
312209/2097152], [350379/524288, 700759/1048576]]]], [[7, 5, 7, 5, 5], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(u^2-
v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-312209/
2097152, -312209/2097152], [2, 2]]]], [[8, 1, 4, 9, 1], [v = 1, u < -3^(1/2),
x = -1, u^2-1 < y, z = z], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [9, 9]
, [0, 0]]]], [[8, 3, 1, 8, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^
2, y = u^2-x-2, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [2346055/524288, 4692111/1048576], [0, 0]]]], [[8, 7, 2, 6
, 1], [v = 1, And(-1 < u,u < 0), x = u^2-2, y = -u^2+2, z < 0], [regular_chain
, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [7/4, 7/4], [-1, -1]]]], [[8, 7, 2, 6,
2], [v = 1, And(-1 < u,u < 0), x = u^2-2, y = -u^2+2, z = 0], [regular_chain,
[[1, 1], [-1/2, -1/2], [-7/4, -7/4], [7/4, 7/4], [0, 0]]]], [[8, 7, 2, 6, 3],
[v = 1, And(-1 < u,u < 0), x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[1,
1], [-1/2, -1/2], [-7/4, -7/4], [7/4, 7/4], [1, 1]]]], [[8, 9, 1, 5, 1], [v =
1, And(0 < u,u < 1), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z < -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [2, 2], [-2, -2]]]], [[8, 9,
1, 5, 2], [v = 1, And(0 < u,u < 1), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [2, 2], [-1,
-1]]]], [[8, 9, 1, 5, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, And(u^2-x-2 < y
,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1
], [1/2, 1/2], [-3, -3], [2, 2], [0, 0]]]], [[8, 9, 1, 5, 4], [v = 1, And(0 <
u,u < 1), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [2, 2], [1, 1]]]], [[8, 9, 1, 5,
5], [v = 1, And(0 < u,u < 1), x < u^2-2, And(u^2-x-2 < y,y < -u^2-x), (-x-y)^(
1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [2, 2], [2, 2]]]], [
[8, 14, 8, 6, 1], [v = 1, u = 3^(1/2), x = 1, y = 0, z = z], [regular_chain, [
[1, 1], [908093/524288, 1816187/1048576], [1, 1], [0, 0], [0, 0]]]], [[9, 1, 5
, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 1, 5, 5, 2], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 1, 5, 5, 3], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 1, 5, 5,
4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 1, 5, 5, 5], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3]
, [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9, 5, 2, 7, 1], [And(1 < v,v < 2^(1/2
)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [3, 3], [0, 0]]]], [[9,
7, 3, 4, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [0, 0], [-3, -3]]]], [[9, 7, 3, 4, 2], [And(1 < v,v < 2^(1/2
)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [0, 0], [-\
594379/524288, -1188757/1048576]]]], [[9, 7, 3, 4, 3], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152],
[0, 0], [0, 0]]]], [[9, 7, 3, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -
(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [0, 0], [1188757/
1048576, 594379/524288]]]], [[9, 7, 3, 4, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [0, 0], [3, 3]]]], [[9
, 9, 10, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1
/2)), x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[9, 11, 9, 7, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-x < y,y < 0), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9, 15, 10, 5, 1], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-1 < y,y <
u^2-v^2-2), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [-1595187/2097152, -1595187/2097152], [
0, 0]]]], [[9, 17, 7, 4, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0
< x,x < 1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576
], [3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 17, 7, 4, 2], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[9, 17, 7, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) <
u, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 5, 10, 9,
1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [1, 1], [0, 0]]]], [[10, 7, 11, 4, 1], [v = 2^(1/2), And(-v
< u,u < -1), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2],
[-2576463/1048576, -1288231/524288], [-2, -2]]]], [[10, 7, 11, 4, 2], [v = 2^(
1/2), And(-v < u,u < -1), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-2576463/1048576, -1288231/524288], [-1417877/2097152, -\
354469/524288]]]], [[10, 7, 11, 4, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x
, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2],
[-2576463/1048576, -1288231/524288], [0, 0]]]], [[10, 7, 11, 4, 4], [v = 2^(1/
2), And(-v < u,u < -1), 1 < x, y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-2576463/1048576, -1288231/524288], [354469/524288, 708939/
1048576]]]], [[10, 7, 11, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y =
-u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [2, 2], [-2576463/1048576, -1288231/
524288], [2, 2]]]], [[10, 11, 8, 6, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -u
^2+1, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2,
1/2], [3/4, 3/4], [0, 0], [0, 0]]]], [[10, 13, 7, 5, 1], [v = 2^(1/2), And(1 <
u,u < v), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-239655/2097152, -239655/
2097152], [-2, -2]]]], [[10, 13, 7, 5, 2], [v = 2^(1/2), And(1 < u,u < v), And
(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-239655/2097152, -239655/
2097152], [-1227917/2097152, -306979/524288]]]], [[10, 13, 7, 5, 3], [v = 2^(1
/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/
1048576], [-239655/2097152, -239655/2097152], [0, 0]]]], [[10, 13, 7, 5, 4], [
v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0),
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743
/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-239655/
2097152, -239655/2097152], [306979/524288, 613959/1048576]]]], [[10, 13, 7, 5,
5], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y
< 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-\
239655/2097152, -239655/2097152], [2, 2]]]], [[11, 3, 1, 6, 1], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [4, 4]
, [-1, -1]]]], [[11, 3, 1, 6, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-4, -4], [4, 4], [0, 0]]]], [[11, 3, 1, 6
, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1
, y = -x, 0 < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576
], [-4, -4], [4, 4], [1, 1]]]], [[11, 4, 9, 3, 1], [2^(1/2) < v, u = -(v^2+1)^
(1/2), 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [-3315889/1048576, -207243/65536], [2, 2], [-3, -3], [-2, -2]]]], [[11, 4,
9, 3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2,
2], [-3, -3], [-1, -1]]]], [[11, 4, 9, 3, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2)
, 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [-3, -3], [
0, 0]]]], [[11, 4, 9, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(-x-2
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [2, 2], [-3, -3], [1, 1]]]], [[11, 4, 9, 3, 5], [2^(1/2) < v, u
= -(v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [2, 2], [-3, -3], [
2, 2]]]], [[11, 9, 1, 5, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)
^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
5758421/2097152, 5758421/2097152], [-3, -3]]]], [[11, 9, 1, 5, 2], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-4, -4], [5758421/2097152, 5758421/2097152], [-587149/
524288, -1174297/1048576]]]], [[11, 9, 1, 5, 3], [2^(1/2) < v, And(-(v^2-1)^(1
/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-4, -4], [5758421/2097152, 5758421/2097152], [0,
0]]]], [[11, 9, 1, 5, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1
/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
5758421/2097152, 5758421/2097152], [1174297/1048576, 587149/524288]]]], [[11,
9, 1, 5, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2
-v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [-4, -4], [5758421/2097152, 5758421
/2097152], [3, 3]]]], [[11, 10, 7, 4, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), 
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 10, 7, 4, 2],
[2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[11, 10, 7, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And
(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 16, 1, 7, 1], [2^
(1/2) < v, u = v, x < -1, -x < y, z = z], [regular_chain, [[3, 3], [3, 3], [-2
, -2], [3, 3], [0, 0]]]], [[11, 18, 2, 4, 1], [2^(1/2) < v, u = (v^2+1)^(1/2),
x = -2, y = 2, z < 0], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576
], [-2, -2], [2, 2], [-1, -1]]]], [[11, 18, 2, 4, 2], [2^(1/2) < v, u = (v^2+1
)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-2, -2], [2, 2], [0, 0]]]], [[11, 18, 2, 4, 3], [2^(1/2) <
v, u = (v^2+1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-2, -2], [2, 2], [1, 1]]]], [[11, 21, 10, 6, 1], [2^
(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[
3, 3], [5, 5], [15, 15], [0, 0], [0, 0]]]], [[1, 2, 2, 3, 1], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [regular_chain,
[[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [3/2, 3/2], [-3, -3]
]]], [[1, 2, 2, 3, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y
< 3), z = -(3-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733
/1048576], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[1, 2
, 2, 3, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), And(-
(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288
, -3477733/1048576], [-3, -3], [3/2, 3/2], [0, 0]]]], [[1, 2, 2, 3, 4], [v < -
2^(1/2), u = -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [3/2,
3/2], [642119/524288, 1284239/1048576]]]], [[1, 2, 2, 3, 5], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [3/2, 3/2], [3, 3]]]
], [[1, 3, 10, 8, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = 1, y = 0, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [1, 1], [0, 0], [0, 0]]]], [[1, 7, 11, 2, 1], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-\
7355465/2097152, -919433/262144], [-3, -3]]]], [[1, 7, 11, 2, 2], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2],
[-7355465/2097152, -919433/262144], [-1287385/1048576, -160923/131072]]]], [[1
, 7, 11, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v
^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-7355465/2097152, -\
919433/262144], [0, 0]]]], [[1, 7, 11, 2, 4], [v < -2^(1/2), And(v < u,u < -(v
^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-7355465/2097152, -\
919433/262144], [160923/131072, 1287385/1048576]]]], [[1, 7, 11, 2, 5], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(
1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2
, 2], [-7355465/2097152, -919433/262144], [3, 3]]]], [[1, 9, 10, 5, 1], [v < -
2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(-1 < y,y < -u^
2+v^2-2), z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [1, 1], [-1564117/2097152, -1564117/2097152], [0, 0]]]], [[1, 15, 4,
6, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-1, -1], [133001/262144, 532005/1048576], [-2, -2]]]], [[1, 15, 4,
6, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-1, -1], [133001/262144, 532005/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[1, 15, 4, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [
133001/262144, 532005/1048576], [-1/4194304, -1/4194304]]]], [[1, 15, 4, 6, 4]
, [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-1, -1], [133001/262144, 532005/1048576], [367989/524288, 735979/1048576]]]],
[[1, 15, 4, 6, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = -
u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-1, -1], [133001/262144, 532005/1048576], [2, 2]]]], [[1, 
17, 5, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2
-v^2-1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
258691/2097152, 258691/2097152], [-2, -2]]]], [[1, 17, 5, 5, 2], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-
v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [258691/2097152, 258691/
2097152], [-3328965/4194304, -832241/1048576]]]], [[1, 17, 5, 5, 3], [v < -2^(
1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y <
u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [
258691/2097152, 258691/2097152], [0, 0]]]], [[1, 17, 5, 5, 4], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^
2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [258691/2097152, 258691/2097152
], [832241/1048576, 416121/524288]]]], [[1, 17, 5, 5, 5], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-1579769/2097152, -1579769/2097152], [258691/2097152, 258691/2097152], [2,
2]]]], [[1, 21, 2, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3]
, [5, 5], [-17, -17], [17/2, 17/2], [-4, -4]]]], [[1, 21, 2, 3, 2], [v < -2^(1
/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^
2-y+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [17/2, 17/2], [-\
24456785/8388608, -1528549/524288]]]], [[1, 21, 2, 3, 3], [v < -2^(1/2), (v^2+
2)^(1/2) < u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/
2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-17, -17
], [17/2, 17/2], [0, 0]]]], [[1, 21, 2, 3, 4], [v < -2^(1/2), (v^2+2)^(1/2) <
u, x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-17, -17], [17/2, 17/2], [1528549/524288, 
3057099/1048576]]]], [[1, 21, 2, 3, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
-u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain
, [[-3, -3], [5, 5], [-17, -17], [17/2, 17/2], [4, 4]]]], [[2, 1, 8, 6, 1], [v
= -2^(1/2), u < -2, x = 1, y = 0, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[2, 10, 4, 4, 1], [v =
-2^(1/2), u = 0, x = -1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[2, 10, 4, 4, 2], [v =
-2^(1/2), u = 0, x = -1, y = 0, z = -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[2, 10, 4, 4, 3], [v =
-2^(1/2), u = 0, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1482911
/1048576, -741455/524288], [0, 0], [-1, -1], [0, 0], [0, 0]]]], [[2, 10, 4, 4,
4], [v = -2^(1/2), u = 0, x = -1, y = 0, z = 1], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [0, 0], [1, 1]]]], [[2, 10, 4, 4,
5], [v = -2^(1/2), u = 0, x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [0, 0], [2, 2]]]], [[2, 12, 1, 7,
1], [v = -2^(1/2), u = 1, x < -2, -x < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1, 1], [-3, -3], [4, 4], [0, 0]]]], [[2, 16, 2, 3,
1], [v = -2^(1/2), u = 3^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [1, 1], [-2, -2]]]], [[2, 16, 2, 3, 2], [v = -2^(1/2), u =
3^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-2, -2],
[1, 1], [-1, -1]]]], [[2, 16, 2, 3, 3], [v = -2^(1/2), u = 3^(1/2), x = -2, 
And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-2, -2],
[1, 1], [0, 0]]]], [[2, 16, 2, 3, 4], [v = -2^(1/2), u = 3^(1/2), x = -2, And(
0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-2, -2], [1, 1], [1, 1]]]], [[2, 
16, 2, 3, 5], [v = -2^(1/2), u = 3^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-2, -2], [1, 1], [2, 2]]]], [[2, 18, 1, 4, 1], [v = -2^(1/2
), u = 2, x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [-4, -4], [1, 1], [-3, -3]]]], [[2, 18, 1, 4, 2], [v
= -2^(1/2), u = 2, x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [2, 2], [-4, -4], [1, 1], [-1816187/1048576, -\
3632373/2097152]]]], [[2, 18, 1, 4, 3], [v = -2^(1/2), u = 2, x < -3, y = -x-3
, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[2, 18, 1, 4,
4], [v = -2^(1/2), u = 2, x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-4, -4], [1, 1], [908093/524288, 
1816187/1048576]]]], [[2, 18, 1, 4, 5], [v = -2^(1/2), u = 2, x < -3, y = -x-3
, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [
-4, -4], [1, 1], [3, 3]]]], [[3, 4, 3, 2, 1], [And(-2^(1/2) < v,v < -1), u = -
(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2
, -3/2], [-1/2, -1/2], [-3, -3]]]], [[3, 4, 3, 2, 2], [And(-2^(1/2) < v,v < -1
), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/
524288]]]], [[3, 4, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3
/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[3, 4, 3, 2, 4], [And(-2^(1/2) < v,v < -1
), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]
]]], [[3, 4, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 <
x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [-1/2, -1/
2], [3, 3]]]], [[3, 6, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y <
0, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-1265743/1048576, -1265743/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[3, 6,
2, 1, 2], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y < 0, z = -(1-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [
[3, 6, 2, 1, 3], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y < 0, And(-(1-y)^(
1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-1265743/1048576, -1265743/1048576], [-1, -1], [-1, -1], [0, 0]]]],
[[3, 6, 2, 1, 4], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y < 0, z = (1-y)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[3, 6, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u = v, x = -1, y < 0
, (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[3, 10, 2,
4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, y = 2, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [2, 2], [-1, -1]]]], [[3, 10, 2, 4, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [2, 2],
[0, 0]]]], [[3, 10, 2, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x
= -2, y = 2, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-2, -2], [2, 2], [1, 1]]]], [[3, 12, 1, 5, 1]
, [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(-1-x < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [3/2, 3/2], [-2, -2]]]], [[3, 12, 1, 5, 2
], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(-1-x < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/
1048576]]]], [[3, 12, 1, 5, 3], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And
(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2,
-2], [3/2, 3/2], [0, 0]]]], [[3, 12, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u =
-v, x < -1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -\
2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[3, 12, 1, 5, 5], [And(-2^(
1/2) < v,v < -1), u = -v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [3/2, 3/2], [2, 2]]]], [[3, 15, 3, 2, 1], [And(-2^
(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-775271/1048576, -1550541/2097152], [-3, -3]]]],
[[3, 15, 3, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-3647693/2097152, -3647693/2097152], [-775271/1048576, -\
1550541/2097152], [-3301741/2097152, -825435/524288]]]], [[3, 15, 3, 2, 3], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-775271/1048576
, -1550541/2097152], [0, 0]]]], [[3, 15, 3, 2, 4], [And(-2^(1/2) < v,v < -1),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2
+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152
], [-775271/1048576, -1550541/2097152], [825435/524288, 1650871/1048576]]]], [
[3, 15, 3, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [-775271/1048576, -1550541/
2097152], [3, 3]]]], [[3, 16, 9, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-3/2, -3/2], [0
, 0]]]], [[4, 3, 4, 5, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, 
And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[4, 3, 4, 5, 2
], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-
y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-\
1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[4, 3, 4, 5, 3],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^
(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1, -1], [1/2, 1/2], [0, 0]]]], [[4, 3, 4, 5, 4], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [1/2
, 1/2], [741455/1048576, 46341/65536]]]], [[4, 3, 4, 5, 5], [v = -1, And(-3^(1
/2) < u,u < -2^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [1/2
, 1/2], [2, 2]]]], [[4, 5, 3, 8, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-u
^2 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1288231/1048576, -1288231/1048576], [1288231/1048576, 
1288231/1048576], [-1, -1]]]], [[4, 5, 3, 8, 2], [v = -1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [
1288231/1048576, 1288231/1048576], [0, 0]]]], [[4, 5, 3, 8, 3], [v = -1, And(-
2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [1288231/1048576, 1288231/1048576], [1, 1]]]], [[4, 11, 4, 8, 1], [v
= -1, And(1 < u,u < 2^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-1, -1]
, [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[4, 11,
4, 8, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y = 1, z = 0], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1]
, [0, 0]]]], [[4, 11, 4, 8, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y = 1
, 0 < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1,
-1], [1, 1], [1, 1]]]], [[4, 13, 4, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2
)), x = -1, y = -u^2+1, z < -u], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [-1, -1], [-773191/524288, -1546381/1048576], [-3, -3]]]], [
[4, 13, 4, 2, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = -u^2+1, z
= -u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1]
, [-773191/524288, -1546381/1048576], [-3299097/2097152, -3299097/2097152]]]],
[[4, 13, 4, 2, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y = -u^2+1,
And(-u < z,z < u)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1, -1], [-773191/524288, -1546381/1048576], [-1/4194304, -1/
4194304]]]], [[4, 13, 4, 2, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1,
y = -u^2+1, z = u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1, -1], [-773191/524288, -1546381/1048576], [412387/262144, 
1649549/1048576]]]], [[4, 13, 4, 2, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x = -1, y = -u^2+1, u < z], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1, -1], [-773191/524288, -1546381/1048576], [3, 3]]]], [[5
, 1, 8, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-43
/4, -43/4], [-5, -5]]]], [[5, 1, 8, 2, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1
/2), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [-3, -3], [1, 1], [-43/4, -43/4], [-1637089/524288, -3274177/1048576]]]]
, [[5, 1, 8, 2, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^
2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/
2, -1/2], [-3, -3], [1, 1], [-43/4, -43/4], [0, 0]]]], [[5, 1, 8, 2, 4], [And(
-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-43/4, -43/4], [3274177/
1048576, 1637089/524288]]]], [[5, 1, 8, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [1, 1], [-43/4, -43/4], [5, 5]]]], [[5, 3, 5, 5, 1], [And(-\
1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151
/262144, -343151/262144], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[5, 3, 5, 5,
2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x
,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [
[5, 3, 5, 5, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -\
1/2], [1/4, 1/4], [0, 0]]]], [[5, 3, 5, 5, 4], [And(-1 < v,v < 0), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[5, 3, 5, 5, 5], [And(-1 < v,v < 0),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151
/262144], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[5, 12, 4, 6, 1], [And(-1 < v,
v < 0), u = (v^2+2)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2
], [3/2, 3/2], [-1, -1], [1, 1], [-1, -1]]]], [[5, 12, 4, 6, 2], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-1/2, -1/2],
[3/2, 3/2], [-1, -1], [1, 1], [0, 0]]]], [[5, 12, 4, 6, 3], [And(-1 < v,v < 0)
, u = (v^2+2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1/2, -1/2], [3/
2, 3/2], [-1, -1], [1, 1], [1, 1]]]], [[6, 1, 1, 9, 1], [v = 0, u < -2^(1/2),
x < -u^2-1, u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [-3, -3], [-11, -11]
, [20, 20], [0, 0]]]], [[6, 4, 7, 5, 1], [v = 0, u = -1, And(0 < x,x < 1), And
(-x < y,y < 0), z = z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-1/4,
-1/4], [0, 0]]]], [[6, 6, 6, 6, 1], [v = 0, u = 0, x = 1, y = 0, z = z], [
regular_chain, [[0, 0], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[7, 1, 2, 7, 1], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z],
[regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [19, 19], [0, 0]]]], [[
7, 2, 9, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-\
7/2, -7/2], [-3, -3]]]], [[7, 2, 9, 3, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [-3/2, -3/2], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/524288]]]],
[[7, 2, 9, 3, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [2, 2], [-7/2, -7/2], [0, 0]]]], [[7, 2, 9, 3, 4], [And(0 < v,v
< 1), u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-7/2, -7/2], [642119/524288
, 1284239/1048576]]]], [[7, 2, 9, 3, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2)
, 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [2, 2], [-7/2, -7/2], [3, 3]]]], [[7, 6, 7, 6, 1], [And(0 < v,v
< 1), u = -v, 1 < x, y = 0, z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2],
[2, 2], [0, 0], [0, 0]]]], [[7, 9, 1, 7, 1], [And(0 < v,v < 1), And(v < u,u <
(v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3],
[2833519/1048576, 2833519/1048576], [-2, -2]]]], [[7, 9, 1, 7, 2], [And(0 < v,
v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [-572167/
1048576, -1144333/2097152]]]], [[7, 9, 1, 7, 3], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [2833519/1048576, 2833519/1048576], [-1/4194304, -\
1/4194304]]]], [[7, 9, 1, 7, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2
)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
2833519/1048576, 2833519/1048576], [286083/524288, 572167/1048576]]]], [[7, 9,
1, 7, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And
(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [2833519/1048576, 2833519/1048576
], [2, 2]]]], [[7, 11, 9, 1, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/
2097152, 1534619/2097152], [-5, -5], [-4, -4]]]], [[7, 11, 9, 1, 2], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5], [-270791
/131072, -2166327/1048576]]]], [[7, 11, 9, 1, 3], [And(0 < v,v < 1), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151
/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5], [0, 0]]
]], [[7, 11, 9, 1, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1534619/2097152,
1534619/2097152], [-5, -5], [2166327/1048576, 270791/131072]]]], [[7, 11, 9, 1
, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2
-1 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-5, -5
], [4, 4]]]], [[7, 13, 5, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2],
[3, 3], [-1/2, -1/2], [35/8, 35/8], [0, 0]]]], [[8, 3, 10, 2, 1], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), x = 1, y = -u^2-1, z < u], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [1, 1], [-3643535/1048576, -1821767/
524288], [-3, -3]]]], [[8, 3, 10, 2, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)
), x = 1, y = -u^2-1, z = u], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-3643535/1048576, -1821767/524288], [-1649549/
1048576, -3299097/2097152]]]], [[8, 3, 10, 2, 3], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = 1, y = -u^2-1, And(u < z,z < -u)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-3643535/1048576, -1821767/524288
], [-1/4194304, -1/4194304]]]], [[8, 3, 10, 2, 4], [v = 1, And(-3^(1/2) < u,u
< -2^(1/2)), x = 1, y = -u^2-1, z = -u], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [1, 1], [-3643535/1048576, -1821767/524288], [
412387/262144, 1649549/1048576]]]], [[8, 3, 10, 2, 5], [v = 1, And(-3^(1/2) <
u,u < -2^(1/2)), x = 1, y = -u^2-1, -u < z], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-3643535/1048576, -1821767/524288
], [3, 3]]]], [[8, 5, 9, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x
< 1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[8, 5, 9, 1, 2
], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, z = -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[8, 5, 9, 1, 3], [v =
1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-3, -3], [0, 0]]]], [[8, 5, 9, 1, 4], [v = 1, And(-2^(1
/2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3,
-3], [207243/131072, 1657945/1048576]]]], [[8, 5, 9, 1, 5], [v = 1, And(-2^(1/
2) < u,u < -1), And(0 < x,x < 1), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-3,
-3], [3, 3]]]], [[8, 11, 10, 7, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And
(-1 < y,y < 0), z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 13, 9, 6, 1], [v = 1, And(2^(1
/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = u^2-x-2, z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 
773191/1048576], [-137693/524288, -275385/1048576], [0, 0]]]], [[9, 2, 2, 6, 1
], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, y = 4, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [4, 4], [0, 0]]]], [[9, 3, 10, 7, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 <
y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [1, 1], [-273305/1048576, -273305/
1048576], [0, 0]]]], [[9, 13, 3, 5, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z < -(
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [735353/
2097152, 735353/2097152], [-2, -2]]]], [[9, 13, 3, 5, 2], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u
^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/
2097152], [735353/2097152, 735353/2097152], [-15766287/16777216, -7883143/
8388608]]]], [[9, 13, 3, 5, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/
2097152], [735353/2097152, 735353/2097152], [-7/16777216, -7/16777216]]]], [[9
, 13, 3, 5, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^
2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [735353/2097152, 735353/
2097152], [61587/65536, 985393/1048576]]]], [[9, 13, 3, 5, 5], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,
y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [735353/2097152, 735353/2097152], [2, 2]]]], [[9, 15, 2, 2,
1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^
2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/
1048576], [0, 0], [-3, -3]]]], [[9, 15, 2, 2, 2], [And(1 < v,v < 2^(1/2)), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288,
898327/524288], [-1299559/524288, -2599117/1048576], [0, 0], [-3301741/2097152
, -825435/524288]]]], [[9, 15, 2, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576], [0, 0],
[0, 0]]]], [[9, 15, 2, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [0, 0], [825435/524288, 1650871/
1048576]]]], [[9, 15, 2, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [0, 0], [3, 3]]]], [[10, 1, 6, 4
, 1], [v = 2^(1/2), u < -2, x = 0, y = 0, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[10, 1, 6, 4
, 2], [v = 2^(1/2), u < -2, x = 0, y = 0, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [0, 0], [0, 0], [0, 0]]]], [[10, 1, 6, 4,
3], [v = 2^(1/2), u < -2, x = 0, y = 0, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [0, 0], [0, 0], [1, 1]]]], [[10, 3, 3, 5,
1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152],
[1825597/2097152, 1825597/2097152], [-2, -2]]]], [[10, 3, 3, 5, 2], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/
2097152, 1825597/2097152], [-7826679/8388608, -3913339/4194304]]]], [[10, 3, 3
, 5, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [1825597/2097152, 1825597/2097152], [-3/
8388608, -3/8388608]]]], [[10, 3, 3, 5, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1
/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 1825597/
2097152], [489167/524288, 978335/1048576]]]], [[10, 3, 3, 5, 5], [v = 2^(1/2),
And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152
, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [1825597/2097152, 
1825597/2097152], [2, 2]]]], [[10, 9, 3, 6, 1], [v = 2^(1/2), And(-1 < u,u < 0
), And(u^2-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [15/8, 15/8], [-1, -1]]]], [[
10, 9, 3, 6, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = -
x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-\
15/8, -15/8], [15/8, 15/8], [0, 0]]]], [[10, 9, 3, 6, 3], [v = 2^(1/2), And(-1
< u,u < 0), And(u^2-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [15/8, 15/8], [1, 1]]]
], [[10, 10, 9, 5, 1], [v = 2^(1/2), u = 0, 1 < x, And(-x < y,y < 1-x), z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2, 2], [-3/2, -3
/2], [0, 0]]]], [[10, 15, 1, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x <
-u^2+1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [
799673/1048576, 799673/1048576], [-3, -3]]]], [[10, 15, 1, 3, 2], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3, -3], [799673/1048576, 799673/1048576], [-1568445/
1048576, -392111/262144]]]], [[10, 15, 1, 3, 3], [v = 2^(1/2), And(v < u,u < 3
^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-3, -3], [799673/1048576, 799673/1048576], [0, 0]]]], [[10,
15, 1, 3, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(0 < y,y <
-u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-3, -3], [799673/1048576, 799673/
1048576], [392111/262144, 1568445/1048576]]]], [[10, 15, 1, 3, 5], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3, -3], [799673/1048576, 799673/1048576], [3, 3]]]], [[10,
16, 8, 7, 1], [v = 2^(1/2), u = 3^(1/2), x = 1, 0 < y, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [
1, 1], [0, 0]]]], [[10, 19, 5, 5, 1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[10, 19, 5,
5, 2], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2
], [1/4, 1/4], [-1/2, -1/2]]]], [[10, 19, 5, 5, 3], [v = 2^(1/2), 2 < u, And(-\
1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [1/4,
1/4], [0, 0]]]], [[10, 19, 5, 5, 4], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[10, 19, 5, 5, 5]
, [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [1/
4, 1/4], [2, 2]]]], [[11, 1, 11, 4, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-
v^2-1 < x, y = -x, z < 0], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-16,
-16], [-1, -1]]]], [[11, 1, 11, 4, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v
^2-1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-16, -\
16], [0, 0]]]], [[11, 1, 11, 4, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-\
1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-16, -16]
, [1, 1]]]], [[11, 5, 9, 1, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [-403851/131072, -403851/131072], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[11,
5, 9, 1, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]],
[[11, 5, 9, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x <
1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-3, -3], [0, 0]]]],
[[11, 5, 9, 1, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x <
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576
]]]], [[11, 5, 9, 1, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 <
x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1/2, 1/2], [-3, -3], [3, 3]]]], [[11, 7, 9, 5
, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2
+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/
67108864], [-2, -2]]]], [[11, 7, 9, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
50084729/67108864, -50084729/67108864], [-16263/32768, -520415/1048576]]]], [[
11, 7, 9, 5, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1
), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
50084729/67108864, -50084729/67108864], [0, 0]]]], [[11, 7, 9, 5, 4], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549
/2097152], [1/2, 1/2], [-50084729/67108864, -50084729/67108864], [520415/
1048576, 16263/32768]]]], [[11, 7, 9, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^
2-1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [
-50084729/67108864, -50084729/67108864], [2, 2]]]], [[11, 13, 3, 8, 1], [2^(1/
2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y
= -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [1186209/524288, 2372419/1048576],
[0, 0]]]], [[11, 15, 2, 5, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [2644589/2097152, 2644589/2097152], [-2, -2]]]], [[11, 15, 2,
5, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-2*u^2+2
*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [
2644589/2097152, 2644589/2097152], [-16263/32768, -520415/1048576]]]], [[11, 
15, 2, 5, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(-\
2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y
+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [2644589/2097152, 2644589/2097152], [0, 0]]]
], [[11, 15, 2, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2
-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [2644589/2097152, 2644589/2097152], [520415/1048576, 16263/
32768]]]], [[11, 15, 2, 5, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [2644589/2097152, 2644589/2097152], [2, 2]]]], [[11, 19, 3, 7
, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288], [522727/
262144, 522727/262144], [0, 0]]]], [[11, 20, 9, 6, 1], [2^(1/2) < v, u = (v^2+
2)^(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [2, 2], [-1, -1], [0, 0]]]], [[1, 5, 2, 3, 1], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z <
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-195745/131072, -1565959/1048576], [517383/1048576, 517383/1048576],
[-3, -3]]]], [[1, 5, 2, 3, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
= -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [517383/1048576, 517383/1048576], [-1048577/1048576, -1]]]],
[[1, 5, 2, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1
, And(0 < y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(
1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/
131072, -1565959/1048576], [517383/1048576, 517383/1048576], [0, 0]]]], [[1, 5
, 2, 3, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(
0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
-403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [517383/
1048576, 517383/1048576], [1, 1048577/1048576]]]], [[1, 5, 2, 3, 5], [v < -2^(
1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2
), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [517383/1048576, 517383/
1048576], [3, 3]]]], [[1, 7, 3, 4, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288]
, [0, 0], [-3, -3]]]], [[1, 7, 3, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/
524288], [0, 0], [-293517/262144, -1174067/1048576]]]], [[1, 7, 3, 4, 3], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And
(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [0, 0]]]
], [[1, 7, 3, 4, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2
-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [0, 0], [1174067
/1048576, 293517/262144]]]], [[1, 7, 3, 4, 5], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [0, 0], [3, 3]]]], [[1, 10, 9, 4, 1], [v < -2^(1/2),
u = -(v^2-2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [-\
5548543/2097152, -2774271/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[1, 10, 9,
4, 2], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y = -x, z = 0], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [-2, -\
2], [0, 0]]]], [[1, 10, 9, 4, 3], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y
= -x, 0 < z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[2, 2], [-2, -2], [1, 1]]]], [[1, 12, 6, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/
2), x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [0, 0], [1/2, 1/2], [0, 0]]]], [[1, 18, 5, 1, 1], [v < -
2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-3,
-3], [-3, -3]]]], [[1, 18, 5, 1, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1
< x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/
524288]]]], [[1, 18, 5, 1, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x
< 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3
, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[1
, 18, 5, 1, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2,
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[1, 18, 5, 1, 5]
, [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2]
, [-3, -3], [3, 3]]]], [[1, 20, 3, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), 
And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [1, 1], [-2, -2]]]], [[1,
20, 3, 5, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 
1738867/524288], [-2, -2], [1, 1], [-1, -1]]]], [[1, 20, 3, 5, 3], [v < -2^(1/
2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867
/524288], [-2, -2], [1, 1], [0, 0]]]], [[1, 20, 3, 5, 4], [v < -2^(1/2), u = (
v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [1, 1],
[1, 1]]]], [[1, 20, 3, 5, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x <
-1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733
/1048576, 1738867/524288], [-2, -2], [1, 1], [2, 2]]]], [[2, 2, 7, 5, 1], [v =
-2^(1/2), u = -2, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-1/4, -1/4], [0, 0
]]]], [[2, 4, 5, 7, 1], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), -x < y
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2, 7, 6, 2, 1],
[v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -\
569265/524288], [-3, -3]]]], [[2, 7, 6, 2, 2], [v = -2^(1/2), And(v < u,u < -1
), x = -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [-1138531/1048576, -569265/524288], [-1302471/
1048576, -651235/524288]]]], [[2, 7, 6, 2, 3], [v = -2^(1/2), And(v < u,u < -1
), x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -\
569265/524288], [0, 0]]]], [[2, 7, 6, 2, 4], [v = -2^(1/2), And(v < u,u < -1),
x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [-1138531/1048576, -569265/524288], [651235/524288,
1302471/1048576]]]], [[2, 7, 6, 2, 5], [v = -2^(1/2), And(v < u,u < -1), x = -
u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [-1138531/1048576, -569265/524288], [3, 3]]]], [[2, 9, 5, 5, 1
], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(0 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1
/2], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[2, 9, 5, 5, 2], [v = -2^(1/2), 
And(-1 < u,u < 0), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [1/4, 1/4], [-1/2, -1/2]]]], [[2, 9, 5, 5, 3], [v = -2^(1/2), And(-1 < u,u <
0), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2
, -1/2], [1/4, 1/4], [0, 0]]]], [[2, 9, 5, 5, 4], [v = -2^(1/2), And(-1 < u,u
< 0), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [
1/2, 1/2]]]], [[2, 9, 5, 5, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x
< 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[2, 13,
2, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(-2*u^2+4 < y,y < -u
^2+3), z < -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [689093/524288, 689093/524288], [-2, -2]]]], [[2, 13, 2, 5, 2], [v =
-2^(1/2), And(1 < u,u < -v), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), z = -(-u
^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [689093/
524288, 689093/524288], [-31331/65536, -501295/1048576]]]], [[2, 13, 2, 5, 3],
[v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(-2*u^2+4 < y,y < -u^2+3), And
(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [689093/524288, 689093/524288], [0, 0]]]], [[2, 13
, 2, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(-2*u^2+4 < y,y <
-u^2+3), z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/
1048576], [689093/524288, 689093/524288], [501295/1048576, 31331/65536]]]], [[
2, 13, 2, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, And(-2*u^2+4 < y
,y < -u^2+3), (-u^2-y+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/2097152, -\
1617841/1048576], [689093/524288, 689093/524288], [2, 2]]]], [[2, 15, 3, 6, 1]
, [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = u^2-x-3,
z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [
186677/262144, 746709/1048576], [-2, -2]]]], [[2, 15, 3, 6, 2], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = u^2-x-3, z = -(-u^2+3)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [186677/262144, 746709
/1048576], [-1519901/2097152, -379975/524288]]]], [[2, 15, 3, 6, 3], [v = -2^(
1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = u^2-x-3, And(-(-u^2
+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [186677/262144, 746709/1048576], [0, 0]]]], [[2, 15, 3, 6, 4
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = u^2-x-3
, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [
186677/262144, 746709/1048576], [379975/524288, 759951/1048576]]]], [[2, 15, 3
, 6, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = u
^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [186677/262144, 746709/1048576], [2, 2]]]], [[3, 1, 6, 3, 1], [And(-
2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z <
-(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[0, 0], [-8957873/2097152, -8957873/2097152], [-4, -4]]]], [[3, 1, 6, 3, 2], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0)
, z = -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3
, -3], [0, 0], [-8957873/2097152, -8957873/2097152], [-2167143/1048576, -\
1083571/524288]]]], [[3, 1, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^
(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [-\
8957873/2097152, -8957873/2097152], [0, 0]]]], [[3, 1, 6, 3, 4], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0],
[-8957873/2097152, -8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[
3, 1, 6, 3, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, And(-u^2
+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [0, 0], [-8957873/2097152, -8957873/2097152], [4,
4]]]], [[3, 3, 3, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [581453/262144, 
2325813/1048576], [0, 0]]]], [[3, 7, 4, 4, 1], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0
, 0], [-2, -2]]]], [[3, 7, 4, 4, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [-1,
-1]]]], [[3, 7, 4, 4, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1
/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [0,
0]]]], [[3, 7, 4, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [1, 1]]]], [
[3, 7, 4, 4, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
-1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [2, 2]]]], [[3, 9, 3, 7,
1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(
u^2-v^2-1 < x,x < -1), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [1026087/524288, 1026087/524288], [0, 0]]]], [[3, 17, 10, 2, 1], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [3, 3], [6860721/1048576, 3430361/524288], [-15818595/1048576, -7909297/
524288], [-4, -4]]]], [[3, 17, 10, 2, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(
1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-15818595/1048576, -7909297/524288], [-1532401/524288, -\
24518415/8388608]]]], [[3, 17, 10, 2, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(
1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2
-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3]
, [6860721/1048576, 3430361/524288], [-15818595/1048576, -7909297/524288], [-7
/16777216, -7/16777216]]]], [[3, 17, 10, 2, 4], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-15818595/1048576, -7909297/524288], [3064801/1048576, 
1532401/524288]]]], [[3, 17, 10, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/
2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-15818595/1048576, -7909297/524288], [4, 4]]]], [[4, 2, 5,
5, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1
/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[4, 2, 5, 5, 2], [v = -1, u = -3^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1
, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[4, 2, 5, 5, 3], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [
[4, 2, 5, 5, 4], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[4, 2, 5, 5, 5], [v = -1,
u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[1/4, 1/4], [2, 2]]]], [[4, 6, 2, 5, 1], [v = -1, u = -1, x = -1, 1 < y, z = z
], [regular_chain, [[-1, -1], [-1, -1], [-1, -1], [2, 2], [0, 0]]]], [[4, 8, 4
, 1, 1], [v = -1, u = 0, x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[
-1, -1], [0, 0], [-1, -1], [-2, -2], [-3, -3]]]], [[4, 8, 4, 1, 2], [v = -1, u
= 0, x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1
, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[4, 8, 4, 1, 3], [v
= -1, u = 0, x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]
]]], [[4, 8, 4, 1, 4], [v = -1, u = 0, x = -1, y < -1, z = (1-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-2, -2], [908093/524288, 1816187/
1048576]]]], [[4, 8, 4, 1, 5], [v = -1, u = 0, x = -1, y < -1, (1-y)^(1/2) < z
], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [-2, -2], [3, 3]]]], [[4, 14,
3, 1, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [-2
, -2], [-3, -3]]]], [[4, 14, 3, 1, 2], [v = -1, u = 3^(1/2), And(-3 < x,x < -1
), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-2, -2], [-2, -2], [-2, -2]]]], [[4, 14, 3, 1, 3], [v = -1,
u = 3^(1/2), And(-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2],
[-2, -2], [0, 0]]]], [[4, 14, 3, 1, 4], [v = -1, u = 3^(1/2), And(-3 < x,x < -\
1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-2, -2], [-2, -2], [2, 2]]]], [[4, 14, 3, 1, 5], [v = -1, u
= 3^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[
-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [-2, -2], [3, 3]]]], [[4,
15, 11, 4, 1], [v = -1, 3^(1/2) < u, u^2-2 < x, y = -x, z < 0], [regular_chain
, [[-1, -1], [3, 3], [8, 8], [-8, -8], [-1, -1]]]], [[4, 15, 11, 4, 2], [v = -\
1, 3^(1/2) < u, u^2-2 < x, y = -x, z = 0], [regular_chain, [[-1, -1], [3, 3],
[8, 8], [-8, -8], [0, 0]]]], [[4, 15, 11, 4, 3], [v = -1, 3^(1/2) < u, u^2-2 <
x, y = -x, 0 < z], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-8, -8], [1, 1]
]]], [[5, 4, 5, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x <
0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[5, 4, 5, 1,
2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = -
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[5,
4, 5, 1, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x
-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
-146543/131072, -1172343/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[5, 4,
5, 1, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2,
z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[5, 4,
5, 1, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2,
(-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[5, 6, 4, 2, 1], [And(-1 < v,v <
0), u = v, x = 0, y = -1, z < -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2]
, [0, 0], [-1, -1], [-2, -2]]]], [[5, 6, 4, 2, 2], [And(-1 < v,v < 0), u = v,
x = 0, y = -1, z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [
-1, -1], [-1, -1]]]], [[5, 6, 4, 2, 3], [And(-1 < v,v < 0), u = v, x = 0, y =
-1, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [
-1, -1], [0, 0]]]], [[5, 6, 4, 2, 4], [And(-1 < v,v < 0), u = v, x = 0, y = -1
, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-1, -1], [1, 1
]]]], [[5, 6, 4, 2, 5], [And(-1 < v,v < 0), u = v, x = 0, y = -1, 1 < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-1, -1], [2, 2]]]], [[5,
9, 6, 6, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
y = -u^2+v^2+1, z < 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/524288, 624419/
1048576], [-1, -1]]]], [[5, 9, 6, 6, 2], [And(-1 < v,v < 0), And(-v < u,u < (v
^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-1/2, -\
1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152],
[312209/524288, 624419/1048576], [0, 0]]]], [[5, 9, 6, 6, 3], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [312209/524288, 624419/1048576], [1, 1]]]], [[5, 
11, 5, 9, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1/2, -1/2], [2, 2], [0, 0]]]], [[6, 1, 9, 7,
1], [v = 0, u < -2^(1/2), And(1 < x,x < u^2-1), And(0 < y,y < u^2-x-1), z = z]
, [regular_chain, [[0, 0], [-3, -3], [9/2, 9/2], [7/4, 7/4], [0, 0]]]], [[6, 3
, 7, 3, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), And(-u^2-x
-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576
, -1265743/1048576], [239655/1048576, 239655/1048576], [-6111545/4194304, -\
6111545/4194304], [-3, -3]]]], [[6, 3, 7, 3, 2], [v = 0, And(-2^(1/2) < u,u <
-1), And(0 < x,x < u^2-1), And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576,
239655/1048576], [-6111545/4194304, -6111545/4194304], [-1162243/1048576, -\
581121/524288]]]], [[6, 3, 7, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(0 <
x,x < u^2-1), And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/
1048576, 239655/1048576], [-6111545/4194304, -6111545/4194304], [0, 0]]]], [[6
, 3, 7, 3, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), And(-u^
2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [-6111545/
4194304, -6111545/4194304], [581121/524288, 1162243/1048576]]]], [[6, 3, 7, 3,
5], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), And(-u^2-x-1 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [239655/1048576, 239655/1048576], [-6111545/4194304, -6111545/
4194304], [3, 3]]]], [[6, 9, 6, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = 0,
u^2-1 < y, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576]
, [0, 0], [2, 2], [0, 0]]]], [[6, 11, 4, 3, 1], [v = 0, 2^(1/2) < u, x = -1, 
And(-u^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1,
-1], [-9/2, -9/2], [-4, -4]]]], [[6, 11, 4, 3, 2], [v = 0, 2^(1/2) < u, x = -1
, And(-u^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1
, -1], [-9/2, -9/2], [-2459129/1048576, -307391/131072]]]], [[6, 11, 4, 3, 3],
[v = 0, 2^(1/2) < u, x = -1, And(-u^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1, -1], [-9/2, -9/2], [0, 0]]]]
, [[6, 11, 4, 3, 4], [v = 0, 2^(1/2) < u, x = -1, And(-u^2 < y,y < 0), z = (1-
y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-1, -1], [-9/2, -9/2], [307391/
131072, 2459129/1048576]]]], [[6, 11, 4, 3, 5], [v = 0, 2^(1/2) < u, x = -1, 
And(-u^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-1, -\
1], [-9/2, -9/2], [4, 4]]]], [[7, 3, 8, 1, 1], [And(0 < v,v < 1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^
2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[243021/524288, 486043/1048576], [-4, -4], [-3, -3]]]], [[7, 3, 8, 1, 2], [And
(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y <
-2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [243021/524288, 486043/1048576], [-4, -4], [-\
7887605/4194304, -15775209/8388608]]]], [[7, 3, 8, 1, 3], [And(0 < v,v < 1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, 
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/
2, 1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576], [-\
4, -4], [-1/16777216, -1/16777216]]]], [[7, 3, 8, 1, 4], [And(0 < v,v < 1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z
= (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151
/262144], [243021/524288, 486043/1048576], [-4, -4], [1971901/1048576, 985951/
524288]]]], [[7, 3, 8, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [-4, -4], [3, 3]]]], [[7, 5, 7, 4, 1], [And(0 < v,v < 1), And
(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [-156105/524288, -312209/
1048576], [-2, -2]]]], [[7, 5, 7, 4, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-156105/524288, -312209/1048576], [-\
1618333/2097152, -3236665/4194304]]]], [[7, 5, 7, 4, 3], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = u^2-v^2-x-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2]
, [-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304],
[-156105/524288, -312209/1048576], [-1/8388608, -1/8388608]]]], [[7, 5, 7, 4,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0
), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
156105/524288, -312209/1048576], [404583/524288, 809167/1048576]]]], [[7, 5, 7
, 4, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,
x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
156105/524288, -312209/1048576], [2, 2]]]], [[8, 1, 4, 8, 1], [v = 1, u < -3^(
1/2), x = -1, y = u^2-1, z = z], [regular_chain, [[1, 1], [-3, -3], [-1, -1],
[8, 8], [0, 0]]]], [[8, 3, 1, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x
< -u^2, And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-4, -4], [4443207/1048576, 4443207/1048576], [0,
0]]]], [[8, 7, 2, 7, 1], [v = 1, And(-1 < u,u < 0), x = u^2-2, -u^2+2 < y, z =
z], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [3, 3], [0, 0]]]], [[
8, 9, 1, 6, 1], [v = 1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, z < -u], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [-2, -2]]]], [[8,
9, 1, 6, 2], [v = 1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [-1/2, -1/2]]]], [
[8, 9, 1, 6, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, And(-u < z,z
< u)], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [0, 0]]]],
[[8, 9, 1, 6, 4], [v = 1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, z = u], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [1/2, 1/2]]]], [[8
, 9, 1, 6, 5], [v = 1, And(0 < u,u < 1), x < u^2-2, y = -u^2-x, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [11/4, 11/4], [2, 2]]]], [[8, 14
, 8, 5, 1], [v = 1, u = 3^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [-1/2, -1/2]
, [0, 0]]]], [[9, 1, 5, 4, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[9, 1, 5, 4, 2
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [
-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[9, 1, 5, 4, 3],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-
x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 1, 5, 4, 4], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2]
, [0, 0], [741455/1048576, 46341/65536]]]], [[9, 1, 5, 4, 5], [And(1 < v,v < 2
^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [0
, 0], [2, 2]]]], [[9, 5, 3, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [-3, -3]]]], [[9
, 5, 3, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u
^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [-2, -2], [-7542477/4194304, -1885619/1048576]
]]], [[9, 5, 3, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v)
, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [0, 0]
]]], [[9, 5, 3, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v)
, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [1885619/1048576
, 471405/262144]]]], [[9, 5, 3, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-2, -2], [3, 3]]]], [[9,
7, 3, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/2097152, 
897307/2097152], [-2, -2]]]], [[9, 7, 3, 5, 2], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x
-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [
897307/2097152, 897307/2097152], [-7767403/8388608, -3883701/4194304]]]], [[9,
7, 3, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/
2097152, 897307/2097152], [-1/8388608, -1/8388608]]]], [[9, 7, 3, 5, 4], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1),
And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [897307/2097152, 897307/2097152], [970925/1048576,
485463/524288]]]], [[9, 7, 3, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -
(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)
^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/
2097152, 897307/2097152], [2, 2]]]], [[9, 9, 10, 7, 1], [And(1 < v,v < 2^(1/2)
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < 0)
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1],
[-569265/2097152, -569265/2097152], [0, 0]]]], [[9, 11, 9, 6, 1], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 11, 9, 6, 2], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z = 0],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 11, 9, 6, 3], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 15, 10, 6, 1], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = u^2-v^2-2,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [1, 1], [-546611/1048576, -1093221/2097152], [0, 0]]]], [[9, 
17, 7, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), 
And(-x < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 5, 10, 8, 1], [v = 2^(1/2
), And(-3^(1/2) < u,u < -v), x = 1, y = 0, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [0, 0]
, [0, 0]]]], [[10, 7, 11, 3, 1], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(
u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [-\
2, -2]]]], [[10, 7, 11, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(u^
2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -3], [-1,
-1]]]], [[10, 7, 11, 3, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(u^2-x
-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-3, -3], [0, 0]]]], [[10, 7, 11, 3, 4], [v = 2^(1/2), And(-v < u,u < -1),
1 < x, And(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2],
[-3, -3], [1, 1]]]], [[10, 7, 11, 3, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 <
x, And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-3, -\
3], [2, 2]]]], [[10, 11, 8, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1,
0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[3/4, 3/4], [1, 1], [0, 0]]]], [[10, 13, 7, 6, 1], [v = 2^(1/2), And(1 < u,u <
v), And(-u^2+1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [0, 0], [-2, -2]]]], [[10, 13, 7, 6, 2], [v = 2^(1/2), And
(1 < u,u < v), And(-u^2+1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-\
239655/1048576, -239655/1048576], [0, 0], [-501295/1048576, -250647/524288]]]]
, [[10, 13, 7, 6, 3], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [0, 0], [0, 0]]]], [[10, 13, 7, 6, 4], [v = 2^(1/2), And(1 <
u,u < v), And(-u^2+1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/
1048576, -239655/1048576], [0, 0], [250647/524288, 501295/1048576]]]], [[10, 
13, 7, 6, 5], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = 0, (-
x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [0, 0], [2, 2]]
]], [[11, 3, 1, 7, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3
], [-3396811/1048576, -3396811/1048576], [-4, -4], [2226663/524288, 2226663/
524288], [0, 0]]]], [[11, 4, 9, 4, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x
, y = -x, z < 0], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[2, 2], [-2, -2], [-1, -1]]]], [[11, 4, 9, 4, 2], [2^(1/2) < v, u = -(v^2+1)^(
1/2), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [2, 2], [-2, -2], [0, 0]]]], [[11, 4, 9, 4, 3], [2^(1/2) < v, u
= -(v^2+1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [2, 2], [-2, -2], [1, 1]]]], [[11, 9, 1, 4, 1], [2^(1
/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^
2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608,
-22960369/8388608], [-4, -4], [391029/262144, 1564117/1048576], [-3, -3]]]], [
[11, 9, 1, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
< u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [-4, -4], [391029/262144, 1564117/
1048576], [-3321417/2097152, -415177/262144]]]], [[11, 9, 1, 4, 3], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-4, -4], [391029/262144, 1564117/
1048576], [0, 0]]]], [[11, 9, 1, 4, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
391029/262144, 1564117/1048576], [415177/262144, 1660709/1048576]]]], [[11, 9,
1, 4, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^
2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [391029/262144, 1564117/
1048576], [3, 3]]]], [[11, 10, 7, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And
(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-2, -2], [-3, -3]]]], [
[11, 10, 7, 3, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(-x-\
3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]]
, [[11, 10, 7, 3, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(
-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]],
[[11, 10, 7, 3, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(-x
-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]],
[[11, 10, 7, 3, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(-x
-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1/2, 1/2], [-2, -2], [3, 3]]]], [[11, 16, 2, 1, 1], [2^(1/
2) < v, u = v, x = -1, y < 0, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [3,
3], [-1, -1], [-1, -1], [-3, -3]]]], [[11, 16, 2, 1, 2], [2^(1/2) < v, u = v,
x = -1, y < 0, z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1, -1], [
-1, -1], [-1482911/1048576, -741455/524288]]]], [[11, 16, 2, 1, 3], [2^(1/2) <
v, u = v, x = -1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [3, 3], [-1, -1], [-1, -1], [0, 0]]]], [[11, 16, 2, 1,
4], [2^(1/2) < v, u = v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[3,
3], [3, 3], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[11, 16,
2, 1, 5], [2^(1/2) < v, u = v, x = -1, y < 0, (1-y)^(1/2) < z], [regular_chain
, [[3, 3], [3, 3], [-1, -1], [-1, -1], [3, 3]]]], [[11, 18, 2, 5, 1], [2^(1/2)
< v, u = (v^2+1)^(1/2), x = -2, 2 < y, z = z], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-2, -2], [3, 3], [0, 0]]]], [[11, 21, 10, 5,
1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0),
z = z], [regular_chain, [[3, 3], [5, 5], [15, 15], [-15/2, -15/2], [0, 0]]]],
[[1, 2, 2, 2, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, y = 0, z < -3^(1/
2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3],
[0, 0], [-3, -3]]]], [[1, 2, 2, 2, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x =
-3, y = 0, z = -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[1, 2, 2, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, y = 0, And(-3^(1/2
) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 2, 2, 2, 4], [v
< -2^(1/2), u = -(v^2+2)^(1/2), x = -3, y = 0, z = 3^(1/2)], [regular_chain, [
[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [0, 0], [908093/
524288, 1816187/1048576]]]], [[1, 2, 2, 2, 5], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288,
-3477733/1048576], [-3, -3], [0, 0], [3, 3]]]], [[1, 3, 10, 7, 1], [v < -2^(1/
2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0
), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1
, 1], [-1061063/4194304, -1061063/4194304], [0, 0]]]], [[1, 7, 11, 3, 1], [v <
-2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v
^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-3, -3], [-2, -2]]]], [[1, 7, 11, 3, 2], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-\
1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549
/2097152], [2, 2], [-3, -3], [-1, -1]]]], [[1, 7, 11, 3, 3], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [2, 2], [-3, -3], [0, 0]]]], [[1, 7, 11, 3, 4], [
v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u
^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152,
-6111549/2097152], [2, 2], [-3, -3], [1, 1]]]], [[1, 7, 11, 3, 5], [v < -2^(1/
2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1
), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-3, -3], [2, 2]]]], [[1, 9, 10, 6, 1], [v < -2^(1/2), And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y = -u^2+v^2-2, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [-\
515541/1048576, -128885/262144], [0, 0]]]], [[1, 15, 4, 5, 1], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), z < -(1-y)^(1/
2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1],
[133001/524288, 133001/524288], [-2, -2]]]], [[1, 15, 4, 5, 2], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/
2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1],
[133001/524288, 133001/524288], [-1811727/2097152, -3623453/4194304]]]], [[1,
15, 4, 5, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(0 < y,
y < -u^2+v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -\
3], [6111549/2097152, 6111549/2097152], [-1, -1], [133001/524288, 133001/
524288], [-1/8388608, -1/8388608]]]], [[1, 15, 4, 5, 4], [v < -2^(1/2), And((v
^2-1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < -u^2+v^2), z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [
133001/524288, 133001/524288], [905863/1048576, 113233/131072]]]], [[1, 15, 4,
5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < -u^
2+v^2), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [-1, -1], [133001/524288, 133001/524288], [2, 2]]]], [[1, 17, 5, 4,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [0, 0], [-2, -2]]]], [[1, 17, 5
, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-\
1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851
/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [-3640339/4194304, -\
1820169/2097152]]]], [[1, 17, 5, 4, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1579769/2097152
, -1579769/2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 17, 5, 4, 4], [
v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
1579769/2097152, -1579769/2097152], [0, 0], [227521/262144, 910085/1048576]]]]
, [[1, 17, 5, 4, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,
x < u^2-v^2-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [0, 0], [2, 2]]]
], [[1, 21, 2, 4, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = u^
2-v^2+1, z < 0], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [17, 17], [-1,
-1]]]], [[1, 21, 2, 4, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y
= u^2-v^2+1, z = 0], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [17, 17],
[0, 0]]]], [[1, 21, 2, 4, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -u^2+v^2-1
, y = u^2-v^2+1, 0 < z], [regular_chain, [[-3, -3], [5, 5], [-17, -17], [17, 
17], [1, 1]]]], [[2, 1, 8, 7, 1], [v = -2^(1/2), u < -2, x = 1, And(0 < y,y <
u^2-4), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[1, 1], [5/2, 5/2], [0, 0]]]], [[2, 10, 4, 3, 1], [v = -2^(1/2), u = 0, x = -1
, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-1, -1], [-1, -1], [-3, -3]]]], [[2, 10, 4, 3, 2], [v
= -2^(1/2), u = 0, x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-1, -1]
, [-1482911/1048576, -741455/524288]]]], [[2, 10, 4, 3, 3], [v = -2^(1/2), u =
0, x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-1, -1]
, [0, 0]]]], [[2, 10, 4, 3, 4], [v = -2^(1/2), u = 0, x = -1, And(-2 < y,y < 0
), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[2, 10, 4, 3, 5]
, [v = -2^(1/2), u = 0, x = -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [-1, -1]
, [3, 3]]]], [[2, 12, 1, 6, 1], [v = -2^(1/2), u = 1, x < -2, y = -x, z < 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [3, 3],
[-1, -1]]]], [[2, 12, 1, 6, 2], [v = -2^(1/2), u = 1, x < -2, y = -x, z = 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [3, 3],
[0, 0]]]], [[2, 12, 1, 6, 3], [v = -2^(1/2), u = 1, x < -2, y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [3, 3],
[1, 1]]]], [[2, 16, 2, 4, 1], [v = -2^(1/2), u = 3^(1/2), x = -2, y = 2, z < 0
], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[2, 16, 2, 4, 2], [v = -2^(1
/2), u = 3^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [0, 0]]]],
[[2, 16, 2, 4, 3], [v = -2^(1/2), u = 3^(1/2), x = -2, y = 2, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-2, -2], [2, 2], [1, 1]]]], [[2, 18, 1, 5, 1], [v = -2^(1/2), u = 2
, x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [2, 2], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[2, 18,
1, 5, 2], [v = -2^(1/2), u = 2, x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [5/
2, 5/2], [-1284239/1048576, -642119/524288]]]], [[2, 18, 1, 5, 3], [v = -2^(1/
2), u = 2, x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [5
/2, 5/2], [0, 0]]]], [[2, 18, 1, 5, 4], [v = -2^(1/2), u = 2, x < -3, And(-x-3
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [[
2, 18, 1, 5, 5], [v = -2^(1/2), u = 2, x < -3, And(-x-3 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4
], [5/2, 5/2], [3, 3]]]], [[3, 4, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v
^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3
/2, -3/2], [-2, -2], [-3, -3]]]], [[3, 4, 3, 1, 2], [And(-2^(1/2) < v,v < -1),
u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]
], [[3, 4, 3, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x
,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3
/2, -3/2], [-2, -2], [0, 0]]]], [[3, 4, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]],
[[3, 4, 3, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [-2, -2],
[3, 3]]]], [[3, 6, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = v, x < -1, -x < y,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/
1048576, -1265743/1048576], [-2, -2], [3, 3], [0, 0]]]], [[3, 10, 2, 5, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -2, 2 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [3, 3], [0, 0]]]], [[3, 12, 1, 6, 1], [And(-2^(1/2) < v,v
< -1), u = -v, x < -1, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [2, 2], [-1, -\
1]]]], [[3, 12, 1, 6, 2], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, y = -x, z
= 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576,
1265743/1048576], [-2, -2], [2, 2], [0, 0]]]], [[3, 12, 1, 6, 3], [And(-2^(1/2
) < v,v < -1), u = -v, x < -1, y = -x, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [2,
2], [1, 1]]]], [[3, 15, 3, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0
), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-\
1550541/4194304, -1550541/4194304], [-3, -3]]]], [[3, 15, 3, 3, 2], [And(-2^(1
/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,
x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-1550541/4194304, -1550541/4194304], [-380699/
262144, -1522795/1048576]]]], [[3, 15, 3, 3, 3], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2
+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-\
3647693/2097152, -3647693/2097152], [-1550541/4194304, -1550541/4194304], [0,
0]]]], [[3, 15, 3, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-1550541/
4194304, -1550541/4194304], [1522795/1048576, 380699/262144]]]], [[3, 15, 3, 3
, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [-1550541/4194304, -1550541/
4194304], [3, 3]]]], [[3, 16, 9, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [2, 2], [-1, -1], [0, 0]]]], [[4, 3
, 4, 4, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = 0, z < -1], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [0,
0], [-2, -2]]]], [[4, 3, 4, 4, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x
= -1, y = 0, z = -1], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [0, 0], [-1, -1]]]], [[4, 3, 4, 4, 3], [v = -1, And(-3^(1/
2) < u,u < -2^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [-1, -1], [0, 0], [0, 0]]]], [[4, 3
, 4, 4, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [0,
0], [1, 1]]]], [[4, 3, 4, 4, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x =
-1, y = 0, 1 < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1, -1], [0, 0], [2, 2]]]], [[4, 5, 3, 7, 1], [v = -1, And(-2^(1/2)
< u,u < -1), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [2007197/2097152, 2007197/2097152], [-2, -2]]]], [
[4, 5, 3, 7, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(
u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [2007197/
2097152, 2007197/2097152], [-273157/524288, -1092627/2097152]]]], [[4, 5, 3, 7
, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(u^2-x-2 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [
2007197/2097152, 2007197/2097152], [-1/4194304, -1/4194304]]]], [[4, 5, 3, 7,
4], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [2007197/2097152, 
2007197/2097152], [546313/1048576, 273157/524288]]]], [[4, 5, 3, 7, 5], [v = -\
1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(u^2-x-2 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [2007197/2097152, 2007197/
2097152], [2, 2]]]], [[4, 11, 4, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -\
1, 1 < y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-1, -1], [2, 2], [0, 0]]]], [[4, 13, 4, 3, 1], [v = -1, And(2^(1/2) < u,u
< 3^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain,
[[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [-1546381/2097152, -\
1546381/2097152], [-3, -3]]]], [[4, 13, 4, 3, 2], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[
-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [-1546381/2097152, -\
1546381/2097152], [-691061/524288, -1382121/1048576]]]], [[4, 13, 4, 3, 3], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-u^2+1 < y,y < 0), And(-(1-y)^
(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1, -1], [-1546381/2097152, -1546381/2097152], [0, 0]]]], [
[4, 13, 4, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, And(-u^2+1 <
y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1, -1], [-1546381/2097152, -1546381/2097152], [1382121/
1048576, 691061/524288]]]], [[4, 13, 4, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^
(1/2)), x = -1, And(-u^2+1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1,
-1], [3299097/2097152, 3299097/2097152], [-1, -1], [-1546381/2097152, -1546381
/2097152], [3, 3]]]], [[5, 1, 8, 1, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2)
, x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
3, -3], [1, 1], [-12, -12], [-5, -5]]]], [[5, 1, 8, 1, 2], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-3, -3], [1, 1], [-12, -12], [-1738867/524288, -3477733/
1048576]]]], [[5, 1, 8, 1, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1,
y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1
/2, -1/2], [-3, -3], [1, 1], [-12, -12], [0, 0]]]], [[5, 1, 8, 1, 4], [And(-1
< v,v < 0), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-12, -12], [3477733/1048576,
1738867/524288]]]], [[5, 1, 8, 1, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [1, 1], [-12, -12], [5, 5]]]], [[5, 3, 5, 4, 1], [And(-1 < v,v < 0), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2,
-1/2], [0, 0], [-2, -2]]]], [[5, 3, 5, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[0, 0], [-1482911/2097152, -741455/1048576]]]], [[5, 3, 5, 4, 3], [And(-1 < v,
v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1/2, -1/2], [0, 0], [0, 0]]]], [[5, 3, 5, 4, 4], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[5, 3
, 5, 4, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [0, 0], [2, 2]]]], [[5, 12, 4, 7
, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z = z],
[regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [3/2, 3/2], [0, 0]]]], [[
6, 1, 2, 1, 1], [v = 0, u < -2^(1/2), x = -u^2-1, y < 0, z < -(u^2-y+1)^(1/2)]
, [regular_chain, [[0, 0], [-3, -3], [-10, -10], [-1, -1], [-5, -5]]]], [[6, 1
, 2, 1, 2], [v = 0, u < -2^(1/2), x = -u^2-1, y < 0, z = -(u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-10, -10], [-1, -1], [-1738867/524288, -\
3477733/1048576]]]], [[6, 1, 2, 1, 3], [v = 0, u < -2^(1/2), x = -u^2-1, y < 0
, And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [-3
, -3], [-10, -10], [-1, -1], [0, 0]]]], [[6, 1, 2, 1, 4], [v = 0, u < -2^(1/2)
, x = -u^2-1, y < 0, z = (u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3],
[-10, -10], [-1, -1], [3477733/1048576, 1738867/524288]]]], [[6, 1, 2, 1, 5],
[v = 0, u < -2^(1/2), x = -u^2-1, y < 0, (u^2-y+1)^(1/2) < z], [regular_chain,
[[0, 0], [-3, -3], [-10, -10], [-1, -1], [5, 5]]]], [[6, 4, 7, 4, 1], [v = 0,
u = -1, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[0, 0], [-1, -1], [
1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[6, 4, 7, 4, 2], [v = 0, u = -1, And(0
< x,x < 1), y = -x, z = 0], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-1
/2, -1/2], [0, 0]]]], [[6, 4, 7, 4, 3], [v = 0, u = -1, And(0 < x,x < 1), y =
-x, 0 < z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [-1/2, -1/2], [1, 1
]]]], [[6, 6, 6, 5, 1], [v = 0, u = 0, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[0, 0], [0, 0], [1, 1], [-1/2, -1/2], [0, 0]]]], [[7, 1, 3, 1,
1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^
2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8,
-43/8], [-6, -6], [-5, -5]]]], [[7, 1, 3, 1, 2], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-6, -6], [-884129/
262144, -3536515/1048576]]]], [[7, 1, 3, 1, 3], [And(0 < v,v < 1), u < -(v^2+2
)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-6,
-6], [0, 0]]]], [[7, 1, 3, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-
u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[
1/2, 1/2], [-3, -3], [-43/8, -43/8], [-6, -6], [3536515/1048576, 884129/262144
]]]], [[7, 1, 3, 1, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1
< x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-3, -3], [-43/8, -43/8], [-6, -6], [5, 5]]]], [[7, 2, 9, 4, 1], [And(0 < v,v
< 1), u = -(v^2+2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [2, 2], [-2, -2], [-1, -1]]]], [[7, 2, 9, 4, 2], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-\
3/2, -3/2], [2, 2], [-2, -2], [0, 0]]]], [[7, 2, 9, 4, 3], [And(0 < v,v < 1),
u = -(v^2+2)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [2, 2], [-2, -2], [1, 1]]]], [[7, 6, 7, 5, 1], [And(0 < v,v < 1), u = -
v, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2]
, [2, 2], [-1, -1], [0, 0]]]], [[7, 9, 1, 6, 1], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
2521309/1048576, 1260655/524288], [-2, -2]]]], [[7, 9, 1, 6, 2], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [2521309/1048576, 1260655/524288], [-1618333/2097152, -\
3236665/4194304]]]], [[7, 9, 1, 6, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-3, -3], [2521309/1048576, 1260655/524288], [-1/8388608, -1/8388608
]]]], [[7, 9, 1, 6, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -
u^2+v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [-3, -3], [2521309/1048576, 1260655/
524288], [404583/524288, 809167/1048576]]]], [[7, 9, 1, 6, 5], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152],
[-3, -3], [2521309/1048576, 1260655/524288], [2, 2]]]], [[7, 11, 8, 7, 1], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, 0 <
y, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
243021/524288, 486043/1048576], [1, 1], [0, 0]]]], [[7, 13, 5, 6, 1], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain
, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[7, 13, 5, 6, 2
], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[7,
13, 5, 6, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x,
0 < z], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]
]], [[8, 3, 10, 3, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2
-1 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [1, 1], [-2346055/1048576, -2346055/1048576], [-3, -3]]]]
, [[8, 3, 10, 3, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2-1
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2346055/1048576, -2346055/1048576], [-145801/
131072, -1166407/1048576]]]], [[8, 3, 10, 3, 3], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/
2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1], [
-2346055/1048576, -2346055/1048576], [0, 0]]]], [[8, 3, 10, 3, 4], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2-1 < y,y < -1), z = (-y-1)^(1/2)],
[regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1], [-\
2346055/1048576, -2346055/1048576], [1166407/1048576, 145801/131072]]]], [[8,
3, 10, 3, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, And(-u^2-1 < y,y
< -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195
/4194304], [1, 1], [-2346055/1048576, -2346055/1048576], [3, 3]]]], [[8, 5, 9,
2, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -u^2-x, z < u],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
8208699/4194304, -32834795/16777216], [-3, -3]]]], [[8, 5, 9, 2, 2], [v = 1, 
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -u^2-x, z = u], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-8208699/4194304
, -32834795/16777216], [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 9, 2,
3], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -u^2-x, And(u < z,
z < -u)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-8208699/4194304, -32834795/16777216], [0, 0]]]], [[8, 5, 9, 2, 4], [v
= 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -u^2-x, z = -u], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
8208699/4194304, -32834795/16777216], [1265743/1048576, 1265743/1048576]]]], [
[8, 5, 9, 2, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = -u^2-
x, -u < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/
2, 1/2], [-8208699/4194304, -32834795/16777216], [3, 3]]]], [[8, 11, 10, 6, 1]
, [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[8, 11
, 10, 6, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = -1, z = 0], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-1, -1],
[0, 0]]]], [[8, 11, 10, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = -1,
0 < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [
-1, -1], [1, 1]]]], [[8, 13, 9, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), 
And(u^2-2 < x,x < 1), And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-\
1048577/2097152, -1048577/2097152], [0, 0]]]], [[9, 2, 2, 7, 1], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, 4 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3,
-3], [5, 5], [0, 0]]]], [[9, 3, 10, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = 0, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1,
1], [0, 0], [0, 0]]]], [[9, 13, 3, 4, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [0, 0], [-3, -3]]]], [[9, 13,
3, 4, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [0, 0], [-1164705/1048576, -36397/32768]]]], [[9, 13, 3, 4,
3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,
x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [0, 0], [0, 0]]]], [[9, 13, 3, 4, 4], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [0, 0
], [36397/32768, 1164705/1048576]]]], [[9, 13, 3, 4, 5], [And(1 < v,v < 2^(1/2
)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2
) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-2587387/2097152, -2587387/2097152], [0, 0], [3, 3]]]], [[9
, 15, 2, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/
524288, -2599117/1048576], [-1, -1], [-3, -3]]]], [[9, 15, 2, 1, 2], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y <
0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[-1, -1], [-1955731/1048576, -7822923/4194304]]]], [[9, 15, 2, 1, 3], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y <
0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/
524288, -2599117/1048576], [-1, -1], [-3/8388608, -3/8388608]]]], [[9, 15, 2,
1, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117
/1048576], [-1, -1], [977865/524288, 1955731/1048576]]]], [[9, 15, 2, 1, 5], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2
-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/
1048576], [-1, -1], [3, 3]]]], [[10, 1, 6, 5, 1], [v = 2^(1/2), u < -2, x = 0,
And(0 < y,y < u^2-3), z = z], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [0, 0], [3, 3], [0, 0]]]], [[10, 3, 3, 6, 1], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, z < 0], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
3651195/2097152, -3651195/2097152], [1825597/1048576, 912799/524288], [-1, -1]
]]], [[10, 3, 3, 6, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x
,x < -1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
-3913339/2097152, -3913339/2097152], [-3651195/2097152, -3651195/2097152], [
1825597/1048576, 912799/524288], [0, 0]]]], [[10, 3, 3, 6, 3], [v = 2^(1/2), 
And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [1825597/1048576, 912799/
524288], [1, 1]]]], [[10, 9, 3, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(u^
2-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16],
[-2, -2]]]], [[10, 9, 3, 5, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x
,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16], [-\
8122235/8388608, -16244469/16777216]]]], [[10, 9, 3, 5, 3], [v = 2^(1/2), And(
-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2,
-1/2], [-15/8, -15/8], [15/16, 15/16], [-5/33554432, -5/33554432]]]], [[10, 9,
3, 5, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16], [1015279/1048576, 63455/65536]]]]
, [[10, 9, 3, 5, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), 
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16], [2, 2]]]], [[10, 10,
9, 4, 1], [v = 2^(1/2), u = 0, 1 < x, y = -x, z < 0], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[10, 10, 9,
4, 2], [v = 2^(1/2), u = 0, 1 < x, y = -x, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [2, 2], [-2, -2], [0, 0]]]], [[10, 10, 9, 4,
3], [v = 2^(1/2), u = 0, 1 < x, y = -x, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[10, 15, 1, 4,
1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = -u^2-x+1, z < -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [-3, -3], [799673/524288, 1599347/1048576], [-3, -3]]]], [
[10, 15, 1, 4, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = -u^2-
x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-3, -3], [799673/524288, 1599347/1048576],
[-1273381/1048576, -318345/262144]]]], [[10, 15, 1, 4, 3], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x < -u^2+1, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)
^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-3, -3], [799673/524288, 1599347/1048576], [0, 0]]]], [[10,
15, 1, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = -u^2-x+1,
z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-3, -3], [799673/524288, 1599347/1048576],
[318345/262144, 1273381/1048576]]]], [[10, 15, 1, 4, 5], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x < -u^2+1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3
], [799673/524288, 1599347/1048576], [3, 3]]]], [[10, 16, 9, 1, 1], [v = 2^(1/
2), u = 3^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [-5, -5],
[-3, -3]]]], [[10, 16, 9, 1, 2], [v = 2^(1/2), u = 3^(1/2), 1 < x, y < -x-2, z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/
2097152]]]], [[10, 16, 9, 1, 3], [v = 2^(1/2), u = 3^(1/2), 1 < x, y < -x-2, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [-5, -5], [-1/
4194304, -1/4194304]]]], [[10, 16, 9, 1, 4], [v = 2^(1/2), u = 3^(1/2), 1 < x,
y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [908093/524288, 1816187/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[10, 16, 9, 1, 5], [v = 2^(1/2), u = 3^(1/2), 1 < x, y < -x-2, (
-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [2, 2], [-5, -5], [3, 3]]]], [[10, 19, 5, 6, 1], [v
= 2^(1/2), 2 < u, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10,
19, 5, 6, 2], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [1/2,
1/2], [0, 0]]]], [[10, 19, 5, 6, 3], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2
, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 1, 11, 5, 1], [2^(1/2) < v, u < -(v^2+2)
^(1/2), u^2-v^2-1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
3, 3], [-5, -5], [16, 16], [-17/2, -17/2], [0, 0]]]], [[11, 5, 8, 7, 1], [2^(1
/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, 0 < y, z = z], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [0, 0], [1, 1], [0, 0]]]], [[11, 7,
9, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-133230053/134217728, -33307513/
33554432], [-2, -2]]]], [[11, 7, 9, 4, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-\
1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
133230053/134217728, -33307513/33554432], [-735979/1048576, -1471957/2097152]]
]], [[11, 7, 9, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x
,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
133230053/134217728, -33307513/33554432], [-1/4194304, -1/4194304]]]], [[11, 7
, 9, 4, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-133230053/134217728, -33307513/
33554432], [367989/524288, 735979/1048576]]]], [[11, 7, 9, 4, 5], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2
+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[1/2, 1/2], [-133230053/134217728, -33307513/33554432], [2, 2]]]], [[11, 13, 3
, 9, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1
< x,x < -1), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-919691/524288, -919691/524288], [4, 4], [0, 0]]]],
[[11, 15, 2, 6, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1,
y = -u^2+v^2+1, z < 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [395145/262144, 1580581/1048576]
, [-1, -1]]]], [[11, 15, 2, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [395145/262144,
1580581/1048576], [0, 0]]]], [[11, 15, 2, 6, 3], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [
395145/262144, 1580581/1048576], [1, 1]]]], [[11, 19, 3, 6, 1], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x,
z < 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [915943/524288, 915943/524288], [-1, -1]]]], [[11, 19
, 3, 6, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [915943/524288, 915943/
524288], [0, 0]]]], [[11, 19, 3, 6, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -915943/524288],
[915943/524288, 915943/524288], [1, 1]]]], [[11, 20, 9, 5, 1], [2^(1/2) < v, u
= (v^2+2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [2, 2], [-3/2, -3/2], [0, 0]]]], [[1, 5, 2,
6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = u^2-v
^2+1, z < 0], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [1565959/1048576, 195745/131072], [-1, -1]]]
], [[1, 5, 2, 6, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^
2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [1565959/1048576, 195745/
131072], [0, 0]]]], [[1, 5, 2, 6, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-195745/131072, -1565959/1048576], [1565959/
1048576, 195745/131072], [1, 1]]]], [[1, 7, 3, 3, 1], [v < -2^(1/2), And(v < u
,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z
< -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-657289/524288, -657289/524288], [-133001/1048576, -133001/1048576]
, [-3, -3]]]], [[1, 7, 3, 3, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [-133001/1048576, -133001/1048576], [-616015/524288,
-1232029/1048576]]]], [[1, 7, 3, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-657289/524288, -657289/524288], [-133001/1048576, -133001/
1048576], [0, 0]]]], [[1, 7, 3, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)
], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [-133001/1048576, -133001/1048576], [1232029/1048576,
616015/524288]]]], [[1, 7, 3, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/
2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [-133001/1048576, -133001/1048576], [3, 3]]]], [[1, 
10, 9, 5, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, And(-x < y,y < 1-x), z
= z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2],
[-3/2, -3/2], [0, 0]]]], [[1, 12, 6, 2, 1], [v < -2^(1/2), u = (v^2-2)^(1/2),
x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [0, 0], [-3, -3], [-3, -3]]]], [[1, 12, 6, 2, 2], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [0, 0], [-3, -3], [-1816187/1048576, -3632373/
2097152]]]], [[1, 12, 6, 2, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y = -\
3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576
, 10837/4096], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 12, 6, 2, 4
], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, y = -3, z = 3^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[1, 12, 6, 2, 5], [v < -2^(1/2), u = (v^2
-2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [0, 0], [-3, -3], [3, 3]]]], [[1, 18, 5, 4, 1], [v < -2^
(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [0, 0
], [-2, -2]]]], [[1, 18, 5, 4, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 <
x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]]
, [[1, 18, 5, 4, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y =
0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 18, 5, 4, 4], [
v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [0, 0
], [741455/1048576, 46341/65536]]]], [[1, 18, 5, 4, 5], [v < -2^(1/2), u = (v^
2+1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -\
3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 20,
3, 4, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-
x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2,
-2], [0, 0], [-3, -3]]]], [[1, 20, 3, 4, 2], [v < -2^(1/2), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-2, -2], [0, 0], [-1482911/1048576, -741455
/524288]]]], [[1, 20, 3, 4, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [-2, -2], [0, 0], [0, 0]]]], [[1, 20, 3, 4,
4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2
)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [0
, 0], [741455/524288, 1482911/1048576]]]], [[1, 20, 3, 4, 5], [v < -2^(1/2), u
= (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [
[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [0, 0], [3, 3]]]], [[2,
2, 7, 6, 1], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [0,
0], [0, 0]]]], [[2, 4, 5, 4, 1], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0
), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[
2, 4, 5, 4, 2], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), y = 0, z = -(-
x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[2, 4, 5, 4, 3], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0),
y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[0, 0], [0, 0]]]], [[2, 4, 5, 4, 4], [v = -2^(1/2), u = -3^(1/2), And(-1 < x,x
< 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[2, 4, 5, 4, 5], [v = -2^(1/2), u = -3^(1/2), And(-\
1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [0, 0], [2
, 2]]]], [[2, 7, 6, 5, 1], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(0
< y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [239655/1048576, 239655/1048576], [-2, -2]]]], [[2, 7, 6, 5, 2
], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(0 < y,y < u^2-1), z = -(u
^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [239655/
1048576, 239655/1048576], [-31331/65536, -501295/1048576]]]], [[2, 7, 6, 5, 3]
, [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^
2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -\
239655/524288], [239655/1048576, 239655/1048576], [0, 0]]]], [[2, 7, 6, 5, 4],
[v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, And(0 < y,y < u^2-1), z = (u^2-y
-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [239655/1048576
, 239655/1048576], [501295/1048576, 31331/65536]]]], [[2, 7, 6, 5, 5], [v = -2
^(1/2), And(v < u,u < -1), x = -u^2+1, And(0 < y,y < u^2-1), (u^2-y-1)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [239655/1048576, 239655/
1048576], [2, 2]]]], [[2, 9, 5, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2, 9, 5, 4,
2], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2,
-1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 9, 5, 4, 3], [v =
-2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2
], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 9, 5, 4, 4], [v = -2^(1/2), And(-1 <
u,u < 0), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[2, 9, 5, 4, 5], [v = -2^(1/2), And(-1 < u,u < 0),
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2, 13, 2, 6,
1], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, y = -u^2+3, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [1617841/1048576, 808921/
524288], [-1, -1]]]], [[2, 13, 2, 6, 2], [v = -2^(1/2), And(1 < u,u < -v), x =
u^2-3, y = -u^2+3, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1265743/1048576, 1265743/1048576], [-3235683/2097152, -1617841/1048576], [
1617841/1048576, 808921/524288], [0, 0]]]], [[2, 13, 2, 6, 3], [v = -2^(1/2),
And(1 < u,u < -v), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-3235683/
2097152, -1617841/1048576], [1617841/1048576, 808921/524288], [1, 1]]]], [[2,
15, 3, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1),
And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [-248903/2097152, -248903/2097152], [-3, -3]]]], [
[2, 15, 3, 3, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -\
1), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [-248903/2097152, -248903/2097152], [-610533/
524288, -1221065/1048576]]]], [[2, 15, 3, 3, 3], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-\
248903/2097152, -248903/2097152], [0, 0]]]], [[2, 15, 3, 3, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-248903/
2097152, -248903/2097152], [1221065/1048576, 610533/524288]]]], [[2, 15, 3, 3,
5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x
+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [-248903/2097152, -248903/2097152], [3, 3]]]], [[3, 1, 6, 6, 1], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, y = u^2-v^2-1, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [
6860721/1048576, 3430361/524288], [0, 0]]]], [[3, 3, 3, 7, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152,
-3647693/2097152], [4149659/2097152, 4149659/2097152], [0, 0]]]], [[3, 7, 4, 5
, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(0
< y,y < -u^2+v^2), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/
2097152, 598205/2097152], [-2, -2]]]], [[3, 7, 4, 5, 2], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z = -(1-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [-\
3545995/4194304, -1772997/2097152]]]], [[3, 7, 4, 5, 3], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/2097152, 
598205/2097152], [-1/4194304, -1/4194304]]]], [[3, 7, 4, 5, 4], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z
= (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152]
, [443249/524288, 886499/1048576]]]], [[3, 7, 4, 5, 5], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), (1-y)^(1/
2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [2, 2]
]]], [[3, 9, 3, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [0, 0], [-3, -3]]]], [[3, 9, 3, 4, 2], [And(-2^(1/
2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [0, 0], [-689305/
524288, -1378609/1048576]]]], [[3, 9, 3, 4, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, And(
-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [0, 0], [0, 0]]]], [[
3, 9, 3, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [0, 0], [1378609/1048576, 689305/524288]]]], [[3, 9, 3, 4, 5], [And(
-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1
< x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [0, 0], [3, 3]
]]], [[3, 17, 10, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2
-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-45358631/4194304, -45358631/4194304], [-4, -4]]]], [[3, 
17, 10, 3, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 
And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-45358631/4194304, -45358631/4194304], [-2167143/1048576,
-1083571/524288]]]], [[3, 17, 10, 3, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1
/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y
+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-45358631/
4194304, -45358631/4194304], [0, 0]]]], [[3, 17, 10, 3, 4], [And(-2^(1/2) < v,
v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1
), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [6860721/1048576, 3430361/524288], [-45358631/4194304, -\
45358631/4194304], [1083571/524288, 2167143/1048576]]]], [[3, 17, 10, 3, 5], [
And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 <
y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-\
45358631/4194304, -45358631/4194304], [4, 4]]]], [[4, 2, 5, 2, 1], [v = -1, u
= -3^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-5/2, -5/2], [-3, -3
]]]], [[4, 2, 5, 2, 2], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), y = -x-3, z
= -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[4, 2, 5
, 2, 3], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,
z < 3^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152]
, [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[4, 2, 5, 2, 4], [
v = -1, u = -3^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2],
[-5/2, -5/2], [908093/524288, 1816187/1048576]]]], [[4, 2, 5, 2, 5], [v = -1,
u = -3^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1,
-1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]
]], [[4, 6, 3, 3, 1], [v = -1, u = -1, And(-1 < x,x < 0), And(-1-x < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/4,
-1/4], [-2, -2]]]], [[4, 6, 3, 3, 2], [v = -1, u = -1, And(-1 < x,x < 0), And(
-1-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1/
2, -1/2], [-1/4, -1/4], [-1816187/2097152, -3632373/4194304]]]], [[4, 6, 3, 3,
3], [v = -1, u = -1, And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1
/4, -1/4], [-1/8388608, -1/8388608]]]], [[4, 6, 3, 3, 4], [v = -1, u = -1, And
(-1 < x,x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1,
-1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]]],
[[4, 6, 3, 3, 5], [v = -1, u = -1, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x
-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/4, -1/4
], [2, 2]]]], [[4, 8, 3, 7, 1], [v = -1, u = 0, And(-2 < x,x < -1), -x < y, z
= z], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [3, 3], [0, 0]]]], [[4,
14, 3, 2, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [-1,
-1], [-3, -3]]]], [[4, 14, 3, 2, 2], [v = -1, u = 3^(1/2), And(-3 < x,x < -1),
y = -x-3, z = -3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[4, 14
, 3, 2, 3], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) <
z,z < 3^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576],
[-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[4, 14, 3, 2, 4], [v = -1, u
= 3^(1/2), And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1, -\
1], [908093/524288, 1816187/1048576], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[4, 14, 3, 2, 5], [v = -1, u = 3^(1/2), And(-3 < x,x < -\
1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187
/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[4, 15, 11, 1, 1], [v = -1, 3^(1/2)
< u, u^2-2 < x, y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3,
3], [8, 8], [-18, -18], [-5, -5]]]], [[4, 15, 11, 1, 2], [v = -1, 3^(1/2) < u,
u^2-2 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[8, 8], [-18, -18], [-3315889/1048576, -207243/65536]]]], [[4, 15, 11, 1, 3],
[v = -1, 3^(1/2) < u, u^2-2 < x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-18, -18], [0, 0]]]], [[4
, 15, 11, 1, 4], [v = -1, 3^(1/2) < u, u^2-2 < x, y < -u^2-x, z = (-x-y)^(1/2)
], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-18, -18], [207243/65536, 
3315889/1048576]]]], [[4, 15, 11, 1, 5], [v = -1, 3^(1/2) < u, u^2-2 < x, y <
-u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-18, -\
18], [5, 5]]]], [[5, 4, 5, 4, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(
-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[5, 4, 5
, 4, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z =
-(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576
], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[5, 4, 5, 4,
3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x
)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[5, 4, 5, 4, 4], [And(-1
< v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2]
, [0, 0], [741455/1048576, 46341/65536]]]], [[5, 4, 5, 4, 5], [And(-1 < v,v <
0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2]
, [0, 0], [2, 2]]]], [[5, 6, 4, 1, 1], [And(-1 < v,v < 0), u = v, x = 0, y < -\
1, z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2,
-2], [-3, -3]]]], [[5, 6, 4, 1, 2], [And(-1 < v,v < 0), u = v, x = 0, y < -1,
z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2
], [-1482911/1048576, -741455/524288]]]], [[5, 6, 4, 1, 3], [And(-1 < v,v < 0)
, u = v, x = 0, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2], [0, 0]]]], [[5, 6, 4, 1, 4], [
And(-1 < v,v < 0), u = v, x = 0, y < -1, z = (-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]]
, [[5, 6, 4, 1, 5], [And(-1 < v,v < 0), u = v, x = 0, y < -1, (-y)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2], [3, 3]]]], [[5,
9, 6, 7, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1,
-u^2+v^2+1 < y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [2, 2], [0, 0]]]], [[5,
11, 5, 6, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[5, 11, 5, 6,
2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x
< 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[5, 11, 5, 6, 3], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, 0 <
z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2
], [1/2, 1/2], [1, 1]]]], [[6, 1, 10, 1, 1], [v = 0, u < -2^(1/2), x = u^2-1,
y < -2*u^2, z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8],
[-19, -19], [-5, -5]]]], [[6, 1, 10, 1, 2], [v = 0, u < -2^(1/2), x = u^2-1, y
< -2*u^2, z = -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [
-19, -19], [-1738867/524288, -3477733/1048576]]]], [[6, 1, 10, 1, 3], [v = 0,
u < -2^(1/2), x = u^2-1, y < -2*u^2, And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^
(1/2))], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-19, -19], [0, 0]]]], [[6
, 1, 10, 1, 4], [v = 0, u < -2^(1/2), x = u^2-1, y < -2*u^2, z = (-u^2-y+1)^(1
/2)], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-19, -19], [3477733/1048576,
1738867/524288]]]], [[6, 1, 10, 1, 5], [v = 0, u < -2^(1/2), x = u^2-1, y < -2
*u^2, (-u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [8, 8], [-19,
-19], [5, 5]]]], [[6, 3, 7, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x
,x < u^2-1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [-\
1408059/524288, -5632235/2097152], [-3, -3]]]], [[6, 3, 7, 2, 2], [v = 0, And(
-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), y = -u^2-x-1, z = -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576
, 239655/1048576], [-1408059/524288, -5632235/2097152], [-410915/262144, -\
3287319/2097152]]]], [[6, 3, 7, 2, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(0
< x,x < u^2-1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576,
239655/1048576], [-1408059/524288, -5632235/2097152], [-1/4194304, -1/4194304]
]]], [[6, 3, 7, 2, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1),
y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576,
-1265743/1048576], [239655/1048576, 239655/1048576], [-1408059/524288, -\
5632235/2097152], [1643659/1048576, 410915/262144]]]], [[6, 3, 7, 2, 5], [v =
0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), y = -u^2-x-1, (u^2+1)^(1/2)
< z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/
1048576, 239655/1048576], [-1408059/524288, -5632235/2097152], [3, 3]]]], [[6,
9, 7, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), y < -u^2-x-\
1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [239655/1048576, 239655/1048576], [-4, -4], [-3, -3]]]], [[6, 9, 7,
1, 2], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), y < -u^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
239655/1048576, 239655/1048576], [-4, -4], [-32581713/16777216, -2036357/
1048576]]]], [[6, 9, 7, 1, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u
^2-1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576],
[-4, -4], [0, 0]]]], [[6, 9, 7, 1, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(0 <
x,x < u^2-1), y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [-4, -4],
[2036357/1048576, 1018179/524288]]]], [[6, 9, 7, 1, 5], [v = 0, And(1 < u,u <
2^(1/2)), And(0 < x,x < u^2-1), y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 
239655/1048576], [-4, -4], [3, 3]]]], [[6, 11, 3, 9, 1], [v = 0, 2^(1/2) < u,
And(-u^2-1 < x,x < -1), u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [3, 3],
[-11/2, -11/2], [15, 15], [0, 0]]]], [[7, 3, 8, 4, 1], [And(0 < v,v < 1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [-486043/1048576, -243021/524288], [-1, -1]]]], [[7, 3, 8, 4,
2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2
-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [243021/524288, 486043/1048576], [-486043/1048576, -243021/
524288], [0, 0]]]], [[7, 3, 8, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288, 486043/1048576]
, [-486043/1048576, -243021/524288], [1, 1]]]], [[7, 5, 7, 3, 1], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
736367/1048576, -736367/1048576], [-3, -3]]]], [[7, 5, 7, 3, 2], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-\
736367/1048576, -736367/1048576], [-1048577/1048576, -1]]]], [[7, 5, 7, 3, 3],
[And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-736367/1048576, -736367/1048576], [0, 0]
]]], [[7, 5, 7, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(
u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837
/4194304, -1248837/4194304], [-736367/1048576, -736367/1048576], [1, 1048577/
1048576]]]], [[7, 5, 7, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), And(u^2-v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
-1248837/4194304, -1248837/4194304], [-736367/1048576, -736367/1048576], [3, 3
]]]], [[8, 1, 4, 7, 1], [v = 1, u < -3^(1/2), x = -1, And(1 < y,y < u^2-1), z
= z], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [9/2, 9/2], [0, 0]]]], [[8,
3, 2, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y < 0, z < -(u^
2-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-\
2594959/1048576, -1297479/524288], [-1, -1], [-3, -3]]]], [[8, 3, 2, 1, 2], [v
= 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y < 0, z = -(u^2-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-2594959/
1048576, -1297479/524288], [-1, -1], [-7818463/4194304, -3909231/2097152]]]],
[[8, 3, 2, 1, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = -u^2, y < 0, And
(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [-1, -1], [-1
/4194304, -1/4194304]]]], [[8, 3, 2, 1, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1
/2)), x = -u^2, y < 0, z = (u^2-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [-1, -1], [
1954615/1048576, 244327/131072]]]], [[8, 3, 2, 1, 5], [v = 1, And(-3^(1/2) < u
,u < -2^(1/2)), x = -u^2, y < 0, (u^2-y)^(1/2) < z], [regular_chain, [[1, 1],
[-6598195/4194304, -6598195/4194304], [-2594959/1048576, -1297479/524288], [-1
, -1], [3, 3]]]], [[8, 7, 2, 4, 1], [v = 1, And(-1 < u,u < 0), x = u^2-2, y =
-2*u^2+2, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [3/2, 3
/2], [-2, -2]]]], [[8, 7, 2, 4, 2], [v = 1, And(-1 < u,u < 0), x = u^2-2, y =
-2*u^2+2, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [3/2, 3
/2], [-1/2, -1/2]]]], [[8, 7, 2, 4, 3], [v = 1, And(-1 < u,u < 0), x = u^2-2,
y = -2*u^2+2, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4
, -7/4], [3/2, 3/2], [0, 0]]]], [[8, 7, 2, 4, 4], [v = 1, And(-1 < u,u < 0), x
= u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4,
-7/4], [3/2, 3/2], [1/2, 1/2]]]], [[8, 7, 2, 4, 5], [v = 1, And(-1 < u,u < 0),
x = u^2-2, y = -2*u^2+2, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4
, -7/4], [3/2, 3/2], [2, 2]]]], [[8, 9, 1, 7, 1], [v = 1, And(0 < u,u < 1), x
< u^2-2, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [-3, -3], [23/8, 23/8], [-2, -2]]]], [[8, 9, 1, 7, 2], [v = 1, And
(0 < u,u < 1), x < u^2-2, And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [23/8, 23/8], [-46341/131072, -\
370727/1048576]]]], [[8, 9, 1, 7, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, And
(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1, 1], [1/2, 1/2], [-3, -3], [23/8, 23/8], [0, 0]]]], [[8, 9, 1, 7, 4], [v =
1, And(0 < u,u < 1), x < u^2-2, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [23/8, 23/8], [370727/1048576, 
46341/131072]]]], [[8, 9, 1, 7, 5], [v = 1, And(0 < u,u < 1), x < u^2-2, And(-
u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-3
, -3], [23/8, 23/8], [2, 2]]]], [[8, 14, 8, 4, 1], [v = 1, u = 3^(1/2), x = 1,
y = -1, z < 0], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1,
1], [-1, -1], [-1, -1]]]], [[8, 14, 8, 4, 2], [v = 1, u = 3^(1/2), x = 1, y =
-1, z = 0], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1],
[-1, -1], [0, 0]]]], [[8, 14, 8, 4, 3], [v = 1, u = 3^(1/2), x = 1, y = -1, 0
< z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [-1,
-1], [1, 1]]]], [[9, 1, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [7909297/2097152, 
7909297/2097152], [0, 0]]]], [[9, 5, 2, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1),
z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [
1259643/1048576, 1259643/1048576], [-2, -2]]]], [[9, 5, 2, 5, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 <
y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -\
384703/262144], [1259643/1048576, 1259643/1048576], [-270523/524288, -1082091/
2097152]]]], [[9, 5, 2, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+
1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -\
384703/262144], [1259643/1048576, 1259643/1048576], [-1/4194304, -1/4194304]]]
], [[9, 5, 2, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1538813/1048576, -384703/262144], [1259643/1048576, 
1259643/1048576], [541045/1048576, 270523/524288]]]], [[9, 5, 2, 5, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*
v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/
1048576, -384703/262144], [1259643/1048576, 1259643/1048576], [2, 2]]]], [[9,
7, 3, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [897307/1048576, 224327/262144], [-2, -2]]
]], [[9, 7, 3, 6, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/1048576, 
224327/262144], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 3, 6, 3], [And
(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1)
, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/1048576, 
224327/262144], [0, 0]]]], [[9, 7, 3, 6, 4], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v
^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-2695357/2097152, -2695357/2097152], [897307/
1048576, 224327/262144], [687203/1048576, 171801/262144]]]], [[9, 7, 3, 6, 5],
[And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x <
-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [897307/1048576, 224327/262144], [2, 2]]]], [[9, 9
, 10, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)
), x = 1, y = -u^2+v^2-2, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1, 1], [-1138531/2097152, -569265/1048576], [0, 0]]]], [[9,
11, 9, 9, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x
,x < 1), 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[9, 15, 10, 3
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1
, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-4696269/
2097152, -4696269/2097152], [-3, -3]]]], [[9, 15, 10, 3, 2], [And(1 < v,v < 2^
(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< -1), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [898327/524288, 898327/524288], [1, 1], [-4696269/2097152, -4696269/2097152]
, [-583671/524288, -1167341/1048576]]]], [[9, 15, 10, 3, 3], [And(1 < v,v < 2^
(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-4696269/
2097152, -4696269/2097152], [0, 0]]]], [[9, 15, 10, 3, 4], [And(1 < v,v < 2^(1
/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y <
-1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [-4696269/2097152, -4696269/2097152], [
1167341/1048576, 583671/524288]]]], [[9, 15, 10, 3, 5], [And(1 < v,v < 2^(1/2)
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1)
, (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [1, 1], [-4696269/2097152, -4696269/2097152], [
3, 3]]]], [[9, 17, 7, 6, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0
< x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 5, 10, 7, 1], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1],
[-1/2, -1/2], [0, 0]]]], [[10, 7, 11, 6, 1], [v = 2^(1/2), And(-v < u,u < -1),
1 < x, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[10, 7, 11
, 6, 2], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-2, -2], [0, 0]]]], [[10, 7, 11, 6, 3], [v = 2^(1/2), And(-
v < u,u < -1), 1 < x, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-2, -2], [1, 1]]]],
[[10, 11, 8, 4, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, y = u^2-1, z <
0], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4],
[-3/4, -3/4], [-1, -1]]]], [[10, 11, 8, 4, 2], [v = 2^(1/2), And(0 < u,u < 1),
x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/4, 3/4], [-3/4, -3/4], [0, 0]]]], [[10, 11, 8, 4, 3],
[v = 2^(1/2), And(0 < u,u < 1), x = -u^2+1, y = u^2-1, 0 < z], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [3/4, 3/4], [-3/4, -3/4], [1, 1
]]]], [[10, 13, 7, 7, 1], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0
), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [239655/2097152, 239655/2097152], [-2, -2]]]], [[10, 13, 7, 7
, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [239655
/2097152, 239655/2097152], [-354469/1048576, -88617/262144]]]], [[10, 13, 7, 7
, 3], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [239655/2097152, 239655/2097152], [0, 0]]]], [[10, 13, 7, 7,
4], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743
/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [239655/
2097152, 239655/2097152], [88617/262144, 354469/1048576]]]], [[10, 13, 7, 7, 5
], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), And(0 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [239655/2097152
, 239655/2097152], [2, 2]]]], [[11, 3, 1, 4, 1], [2^(1/2) < v, And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4,
-4], [1579107/1048576, 394777/262144], [-3, -3]]]], [[11, 3, 1, 4, 2], [2^(1/2
) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^
2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144], [-1655969/
1048576, -3311937/2097152]]]], [[11, 3, 1, 4, 3], [2^(1/2) < v, And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144], [-1/
4194304, -1/4194304]]]], [[11, 3, 1, 4, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [
1579107/1048576, 394777/262144], [51749/32768, 1655969/1048576]]]], [[11, 3, 1
, 4, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^
2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-4, -4], [1579107/1048576, 394777/262144]
, [3, 3]]]], [[11, 4, 9, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), 1 < x, And(-
x < y,y < 0), z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [2, 2], [-1, -1], [0, 0]]]], [[11, 9, 1, 3, 1], [2^(1/2) < v, And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [391029/524288, 391029/524288], [-3, -3]]]], [[11, 9, 1, 3
, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1,
And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [391029/524288, 391029/524288]
, [-7566241/4194304, -236445/131072]]]], [[11, 9, 1, 3, 3], [2^(1/2) < v, And(
-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x
-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [391029/524288, 391029/524288]
, [0, 0]]]], [[11, 9, 1, 3, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [
391029/524288, 391029/524288], [236445/131072, 1891561/1048576]]]], [[11, 9, 1
, 3, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2
-1, And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [391029/524288, 391029/524288]
, [3, 3]]]], [[11, 10, 7, 6, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(0 < x,x
< 1), y = 0, z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[11, 16, 1, 5, 1], [2^(1/2) < v, u =
v, x < -1, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[3, 3], [-2, -2], [3/2, 3/2], [-2, -2]]]], [[11, 16, 1, 5, 2], [2^(1/2) < v, u
= v, x < -1, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [3, 3], [-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[11,
16, 1, 5, 3], [2^(1/2) < v, u = v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3, 3], [-2, -2], [3/2,
3/2], [0, 0]]]], [[11, 16, 1, 5, 4], [2^(1/2) < v, u = v, x < -1, And(-1-x < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-2, -2], [3/2,
3/2], [741455/1048576, 46341/65536]]]], [[11, 16, 1, 5, 5], [2^(1/2) < v, u =
v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
3, 3], [-2, -2], [3/2, 3/2], [2, 2]]]], [[11, 18, 3, 1, 1], [2^(1/2) < v, u =
(v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-2, -2
], [-3, -3]]]], [[11, 18, 3, 1, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 <
x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/
524288]]]], [[11, 18, 3, 1, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x
< -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3
, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[11
, 18, 3, 1, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2,
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
-3/2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[11, 18, 3, 1, 5]
, [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2],
[-2, -2], [3, 3]]]], [[11, 21, 10, 4, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[3, 3], [5, 5], [15, 15],
[-15, -15], [-1, -1]]]], [[11, 21, 10, 4, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u,
x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3], [5, 5], [15, 
15], [-15, -15], [0, 0]]]], [[11, 21, 10, 4, 3], [2^(1/2) < v, (v^2+2)^(1/2) <
u, x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[3, 3], [5, 5], [15
, 15], [-15, -15], [1, 1]]]], [[1, 2, 2, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1
/2), x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-3, -3], [7/2, 7/2], [0, 0]]]], [[1, 3, 10, 6, 1],
[v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = u^2-v^2-\
2, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1
, 1], [-132633/262144, -1061063/2097152], [0, 0]]]], [[1, 7, 11, 4, 1], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [
2, 2], [-653431/262144, -2613723/1048576], [-2, -2]]]], [[1, 7, 11, 4, 2], [v
< -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152]
, [2, 2], [-653431/262144, -2613723/1048576], [-735979/1048576, -1471957/
2097152]]]], [[1, 7, 11, 4, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2, 2], [-\
653431/262144, -2613723/1048576], [-1/4194304, -1/4194304]]]], [[1, 7, 11, 4,
4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-653431/262144, -2613723/1048576], [367989/524288, 735979/
1048576]]]], [[1, 7, 11, 4, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576]
, [2, 2]]]], [[1, 9, 10, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^
2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [-\
9454679/4194304, -9454679/4194304], [-3, -3]]]], [[1, 9, 10, 3, 2], [v < -2^(1
/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [-9454679/4194304, -9454679/4194304], [-587149/
524288, -1174297/1048576]]]], [[1, 9, 10, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1
/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [-9454679/4194304, -9454679/4194304], [0, 0]]]], [[
1, 9, 10, 3, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x
= 1, And(u^2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [1, 1], [-9454679/4194304, -9454679/
4194304], [1174297/1048576, 587149/524288]]]], [[1, 9, 10, 3, 5], [v < -2^(1/2
), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1
), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369
/8388608], [1, 1], [-9454679/4194304, -9454679/4194304], [3, 3]]]], [[1, 15, 4
, 8, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 1, z < 0],
[regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [1, 1
], [-1, -1]]]], [[1, 15, 4, 8, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), x = -1, y = 1, z = 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549
/2097152], [-1, -1], [1, 1], [0, 0]]]], [[1, 15, 4, 8, 3], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [1, 1], [1, 1]]]], [[1, 17, 5, 3,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), 
And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-1552149
/4194304, -1552149/4194304], [-3, -3]]]], [[1, 17, 5, 3, 2], [v < -2^(1/2), 
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y
,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851
/131072], [-1579769/2097152, -1579769/2097152], [-1552149/4194304, -1552149/
4194304], [-1111369/1048576, -138921/131072]]]], [[1, 17, 5, 3, 3], [v < -2^(1
/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-\
1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-\
1552149/4194304, -1552149/4194304], [0, 0]]]], [[1, 17, 5, 3, 4], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [-1552149/4194304, -\
1552149/4194304], [138921/131072, 1111369/1048576]]]], [[1, 17, 5, 3, 5], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v
^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-1552149/
4194304, -1552149/4194304], [3, 3]]]], [[1, 21, 2, 5, 1], [v < -2^(1/2), (v^2+
2)^(1/2) < u, x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [
regular_chain, [[-3, -3], [5, 5], [-17, -17], [49/2, 49/2], [0, 0]]]], [[2, 1,
8, 4, 1], [v = -2^(1/2), u < -2, x = 1, y = -1, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-1, -1], [-1, -1]]]], [[2
, 1, 8, 4, 2], [v = -2^(1/2), u < -2, x = 1, y = -1, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-1, -1], [0, 0]]]], [[2
, 1, 8, 4, 3], [v = -2^(1/2), u < -2, x = 1, y = -1, 0 < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-1, -1], [1, 1]]]], [[2
, 10, 4, 6, 1], [v = -2^(1/2), u = 0, x = -1, y = 1, z < 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1, 1], [-1, -1]]]], [[2
, 10, 4, 6, 2], [v = -2^(1/2), u = 0, x = -1, y = 1, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[2,
10, 4, 6, 3], [v = -2^(1/2), u = 0, x = -1, y = 1, 0 < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[2, 12
, 1, 5, 1], [v = -2^(1/2), u = 1, x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [
2, 2], [-2, -2]]]], [[2, 12, 1, 5, 2], [v = -2^(1/2), u = 1, x < -2, And(-x-2
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3, -3], [2, 2], [-1, -1]]]], [[2, 12, 1, 5, 3], [v = -2^(1/
2), u = 1, x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [2
, 2], [0, 0]]]], [[2, 12, 1, 5, 4], [v = -2^(1/2), u = 1, x < -2, And(-x-2 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1, 1], [-3, -3], [2, 2], [1, 1]]]], [[2, 12, 1, 5, 5], [v = -2^(1/2)
, u = 1, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1, 1], [-3, -3], [2, 2], [2, 2]]]], [[2, 16
, 2, 5, 1], [v = -2^(1/2), u = 3^(1/2), x = -2, 2 < y, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-2, -2
], [3, 3], [0, 0]]]], [[2, 18, 1, 2, 1], [v = -2^(1/2), u = 2, x < -3, y = 0,
z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-4, -4], [0, 0], [-3, -3]]]], [[2, 18, 1, 2, 2], [v = -2^(1/2), u = 2, x < -3
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [2, 2], [-4, -4], [0, 0], [-2, -2]]]], [[2, 18, 1, 2, 3], [v = -2^(1/2), u =
2, x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-4, -4], [0, 0], [0, 0]]]], [[2, 18
, 1, 2, 4], [v = -2^(1/2), u = 2, x < -3, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [0, 0],
[2, 2]]]], [[2, 18, 1, 2, 5], [v = -2^(1/2), u = 2, x < -3, y = 0, (-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [
0, 0], [3, 3]]]], [[3, 4, 3, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1
/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2],
[0, 0], [-3, -3]]]], [[3, 4, 3, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)
^(1/2), And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2,
-3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[3, 4, 3, 4, 3], [And(-
2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [0, 0], [0, 0]]]],
[[3, 4, 3, 4, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [0, 0], [642119/
524288, 1284239/1048576]]]], [[3, 4, 3, 4, 5], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2
, -3/2], [0, 0], [3, 3]]]], [[3, 6, 1, 6, 1], [And(-2^(1/2) < v,v < -1), u = v
, x < -1, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-1265743/1048576, -1265743/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[3, 6
, 1, 6, 2], [And(-2^(1/2) < v,v < -1), u = v, x < -1, y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [2, 2], [0, 0]]]], [[3, 6, 1, 6, 3], [And(-2^(1/2)
< v,v < -1), u = v, x < -1, y = -x, 0 < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [2, 2], [
1, 1]]]], [[3, 10, 3, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And
(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-2
, -2], [-3, -3]]]], [[3, 10, 3, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^
(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3
/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[3, 10, 3, 1, 3], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-2, -2], [0,
0]]]], [[3, 10, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2
< x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-2, -2], [
980853/524288, 1961707/1048576]]]], [[3, 10, 3, 1, 5], [And(-2^(1/2) < v,v < -\
1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [-2, -2], [3, 3]]]], [[3, 12, 1, 3, 1], [And(-2^(1/2)
< v,v < -1), u = -v, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1/2, 1/2], [-3, -3]]]], [[3, 12, 1, 3, 2], [And(-
2^(1/2) < v,v < -1), u = -v, x < -1, And(0 < y,y < -1-x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1/2, 1/2], [-1284239/1048576, -642119/524288]]]],
[[3, 12, 1, 3, 3], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, And(0 < y,y < -1
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1/2
, 1/2], [0, 0]]]], [[3, 12, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u = -v, x < -\
1, And(0 < y,y < -1-x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1/2, 1/2], [
642119/524288, 1284239/1048576]]]], [[3, 12, 1, 3, 5], [And(-2^(1/2) < v,v < -\
1), u = -v, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2,
-2], [1/2, 1/2], [3, 3]]]], [[3, 15, 3, 4, 1], [And(-2^(1/2) < v,v < -1), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -
(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [0, 0], [-3, -3]
]]], [[3, 15, 3, 4, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [0, 0], [-1382911/1048576, -\
691455/524288]]]], [[3, 15, 3, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2
) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [0, 0],
[0, 0]]]], [[3, 15, 3, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [0, 0], [691455/524288, 1382911
/1048576]]]], [[3, 15, 3, 4, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-3647693/2097152, -3647693/2097152], [0, 0], [3, 3]]]], [[3, 16, 9,
3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[3, 16, 9
, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [121853/65536, 1949649/1048576], [2, 2], [-7/2, -7/2], [-1284239/1048576, -\
642119/524288]]]], [[3, 16, 9, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-7/2, -7/2], [0, 0]]]], [[3, 16, 9, 3, 4], [And(-2^(1/2) <
v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[3, 16,
9, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [121853/65536, 1949649/1048576], [2, 2], [-7/2, -7/2], [3, 3]]]], [[4, 3, 4
, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, And(1 < y,y < u^2-1)
, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1
, -1], [1297479/1048576, 1297479/1048576], [0, 0]]]], [[4, 5, 3, 6, 1], [v = -\
1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = u^2-x-2, z < -(-u^2+2)^
(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [718965/1048576, 359483/524288], [-2, -2]]
]], [[4, 5, 3, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1),
y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/
1048576, 359483/524288], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 3, 6,
3], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = u^2-x-2, And(
-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743
/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/
1048576, 359483/524288], [-1/4194304, -1/4194304]]]], [[4, 5, 3, 6, 4], [v = -\
1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = u^2-x-2, z = (-u^2+2)^(
1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [718965/1048576, 359483/524288], [193151/
262144, 772605/1048576]]]], [[4, 5, 3, 6, 5], [v = -1, And(-2^(1/2) < u,u < -1
), And(-u^2 < x,x < -1), y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [718965/1048576, 359483/524288], [2, 2]]]], [[4, 11, 5, 1, 1], [v =
-1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/
2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-2, -2], [-3, -3]]]], [[4, 11, 5, 1, 2], [v = -1,
And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-2, -2], [-3491269/2097152, -872817/524288]]]], [
[4, 11, 5, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y <
-u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2,
-2], [0, 0]]]], [[4, 11, 5, 1, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x
,x < u^2-2), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2,
-2], [872817/524288, 1745635/1048576]]]], [[4, 11, 5, 1, 5], [v = -1, And(1 <
u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-2, -2], [3, 3]]]], [[4, 13, 3, 9, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), u^2-x-2 < y, z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [4, 4], [0, 0]]]], [[5, 1, 8, 4, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1/2, -1/2]
, [-3, -3], [1, 1], [-1, -1], [-1, -1]]]], [[5, 1, 8, 4, 2], [And(-1 < v,v < 0
), u < -(v^2+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [
-3, -3], [1, 1], [-1, -1], [0, 0]]]], [[5, 1, 8, 4, 3], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [1, 1], [-1, -1], [1, 1]]]], [[5, 3, 5, 3, 1], [And(-1 < v,v < 0), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [-3, -\
3]]]], [[5, 3, 5, 3, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[-32942499/33554432, -32942499/33554432], [-159551/131072, -1276407/1048576]]]
], [[5, 3, 5, 3, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [0, 0]]]], [[
5, 3, 5, 3, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[-32942499/33554432, -32942499/33554432], [1276407/1048576, 159551/131072]]]],
[[5, 3, 5, 3, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[-32942499/33554432, -32942499/33554432], [3, 3]]]], [[5, 12, 4, 8, 1], [And(-\
1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[-1/2
, -1/2], [3/2, 3/2], [-1, -1], [2, 2], [0, 0]]]], [[6, 1, 1, 7, 1], [v = 0, u
< -2^(1/2), x < -u^2-1, And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0,
0], [-3, -3], [-11, -11], [15, 15], [0, 0]]]], [[6, 4, 7, 7, 1], [v = 0, u = -\
1, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1
/2], [1, 1], [0, 0]]]], [[6, 6, 6, 4, 1], [v = 0, u = 0, x = 1, y = -1, z < 0]
, [regular_chain, [[0, 0], [0, 0], [1, 1], [-1, -1], [-1, -1]]]], [[6, 6, 6, 4
, 2], [v = 0, u = 0, x = 1, y = -1, z = 0], [regular_chain, [[0, 0], [0, 0], [
1, 1], [-1, -1], [0, 0]]]], [[6, 6, 6, 4, 3], [v = 0, u = 0, x = 1, y = -1, 0
< z], [regular_chain, [[0, 0], [0, 0], [1, 1], [-1, -1], [1, 1]]]], [[7, 1, 3,
2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3],
[-43/8, -43/8], [-35/8, -35/8], [-5, -5]]]], [[7, 1, 3, 2, 2], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^
2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-35/8
, -35/8], [-1637089/524288, -3274177/1048576]]]], [[7, 1, 3, 2, 3], [And(0 < v
,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2],
[-3, -3], [-43/8, -43/8], [-35/8, -35/8], [0, 0]]]], [[7, 1, 3, 2, 4], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8],
[-35/8, -35/8], [3274177/1048576, 1637089/524288]]]], [[7, 1, 3, 2, 5], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8],
[-35/8, -35/8], [5, 5]]]], [[7, 2, 9, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)^(
1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [2, 2], [-6, -6], [-3, -3]]]], [[7, 2, 9, 1, 2], [And(0 < v,v < 1), u =
-(v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [-3/2, -3/2], [2, 2], [-6, -6], [-2, -2]]]], [[7, 2, 9, 1, 3], [And(0 < v,
v < 1), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-6, -6], [0, 0]]]
], [[7, 2, 9, 1, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, y < -x-3, z
= (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-6, -6],
[2, 2]]]], [[7, 2, 9, 1, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, y <
-x-3, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-\
6, -6], [3, 3]]]], [[7, 7, 1, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), x <
u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3
, -3], [-1, -1], [-3, -3]]]], [[7, 7, 1, 1, 2], [And(0 < v,v < 1), And(-v < u,
u < v), x < u^2-v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [-3, -3], [-1, -1], [-2, -2]]]], [[7, 7, 1, 1, 3], [And(0 < v,v < 1),
And(-v < u,u < v), x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-1, -1], [0, 0]]]], [[7,
7, 1, 1, 4], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y < 0, z = (
-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-1, -1], [2, 2]]
]], [[7, 7, 1, 1, 5], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y <
0, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [-1, -1],
[3, 3]]]], [[7, 9, 1, 5, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)),
x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [2,
2], [-2, -2]]]], [[7, 9, 1, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1
/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3],
[2, 2], [-1, -1]]]], [[7, 9, 1, 5, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-3, -3], [2, 2], [0, 0]]]], [[7, 9, 1, 5, 4], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u
^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-3, -3], [2, 2], [1, 1]]]], [[7, 9, 1, 5, 5], [And(0 < v,v
< 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u
^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1696631/2097152,
1696631/2097152], [-3, -3], [2, 2], [2, 2]]]], [[7, 11, 8, 6, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = 0, z = z],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 
486043/1048576], [0, 0], [0, 0]]]], [[7, 13, 5, 9, 1], [And(0 < v,v < 1), (v^2
+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[1
/2, 1/2], [3, 3], [-1/2, -1/2], [10, 10], [0, 0]]]], [[8, 3, 9, 9, 1], [v = 1,
And(-3^(1/2) < u,u < -2^(1/2)), And(u^2-2 < x,x < 1), 0 < y, z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1546383/2097152
, 1546383/2097152], [1, 1], [0, 0]]]], [[8, 5, 9, 3, 1], [v = 1, And(-2^(1/2)
< u,u < -1), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [
-50331659/33554432, -50331659/33554432], [-3, -3]]]], [[8, 5, 9, 3, 2], [v = 1
, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[1/2, 1/2], [-50331659/33554432, -50331659/33554432], [-1048577/1048576, -1]]]
], [[8, 5, 9, 3, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(-
u^2-x < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
50331659/33554432, -50331659/33554432], [0, 0]]]], [[8, 5, 9, 3, 4], [v = 1, 
And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(-u^2-x < y,y < u^2-x-2), z = (
-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [
1/2, 1/2], [-50331659/33554432, -50331659/33554432], [1, 1048577/1048576]]]],
[[8, 5, 9, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), And(-u^2
-x < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-50331659/33554432, -50331659/
33554432], [3, 3]]]], [[8, 11, 10, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)), x =
1, And(u^2-3 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [1, 1], [-2666417/2097152, -2666417/2097152
], [-2, -2]]]], [[8, 11, 10, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And
(u^2-3 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [-\
273157/524288, -1092627/2097152]]]], [[8, 11, 10, 5, 3], [v = 1, And(1 < u,u <
2^(1/2)), x = 1, And(u^2-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2)
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
2666417/2097152, -2666417/2097152], [-1/4194304, -1/4194304]]]], [[8, 11, 10,
5, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And(u^2-3 < y,y < -1), z = (-y-1
)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1],
[-2666417/2097152, -2666417/2097152], [546313/1048576, 273157/524288]]]], [[8,
11, 10, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And(u^2-3 < y,y < -1), (
-y-1)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576],
[1, 1], [-2666417/2097152, -2666417/2097152], [2, 2]]]], [[8, 13, 9, 8, 1], [v
= 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = 0, z = z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 
773191/1048576], [0, 0], [0, 0]]]], [[9, 2, 2, 4, 1], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), x = -3, y = 3, z < 0], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-3, -3], [3, 3], [-1,
-1]]]], [[9, 2, 2, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3,
y = 3, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [3, 3], [0, 0]]]], [[9, 2, 2, 4, 3], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, y = 3, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-3, -3], [3, 3], [1, 1]]]], [[9, 3, 10, 9, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, 0 < y, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [1, 1], [0, 0]]]], [[9, 13, 3, 3, 1], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2
+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [-122559/1048576, -122559/1048576], [-3, -3]]]], [[9, 13, 3,
3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-122559/1048576, -122559/1048576], [-\
609313/524288, -1218625/1048576]]]], [[9, 13, 3, 3, 3], [And(1 < v,v < 2^(1/2)
), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-122559/1048576, -122559/1048576], [0, 0]
]]], [[9, 13, 3, 3, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-122559/1048576, -122559/
1048576], [1218625/1048576, 609313/524288]]]], [[9, 13, 3, 3, 5], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2
+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [-122559/1048576, -122559/1048576], [3, 3]]]], [[9, 15, 2, 4
, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -
u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[2599117/1048576, 1299559/524288], [-1, -1]]]], [[9, 15, 2, 4, 2], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^
2-v^2+1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-1299559/524288, -2599117/1048576], [2599117/1048576,
1299559/524288], [0, 0]]]], [[9, 15, 2, 4, 3], [And(1 < v,v < 2^(1/2)), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [2599117/1048576, 1299559/524288
], [1, 1]]]], [[10, 1, 6, 2, 1], [v = 2^(1/2), u < -2, x = 0, y = -u^2+1, z <
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[0, 0], [-8, -8], [-4, -4]]]], [[10, 1, 6, 2, 2], [v = 2^(1/2), u < -2, x = 0,
y = -u^2+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [0, 0], [-8, -8], [-2965821/1048576, -11863283/4194304]]]]
, [[10, 1, 6, 2, 3], [v = 2^(1/2), u < -2, x = 0, y = -u^2+1, And(-(u^2-1)^(1/
2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [0, 0], [-8, -8], [-3/8388608, -3/8388608]]]], [[10, 1, 6, 2, 4], [v
= 2^(1/2), u < -2, x = 0, y = -u^2+1, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-8, -8], [741455/262144, 
2965821/1048576]]]], [[10, 1, 6, 2, 5], [v = 2^(1/2), u < -2, x = 0, y = -u^2+
1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [0, 0], [-8, -8], [4, 4]]]], [[10, 3, 3, 7, 1], [v = 2^(1/2), And(-2 < u,
u < -3^(1/2)), And(-u^2+1 < x,x < -1), And(-x < y,y < u^2-x-3), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-3651195/2097152, -3651195/2097152], [2078331/1048576, 2078331/
1048576], [0, 0]]]], [[10, 9, 3, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(u
^2-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [0, 0], [-3, -3]]]], [[10, 9,
3, 4, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = 0, z = -
(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[-15/8, -15/8], [0, 0], [-717911/524288, -1435821/1048576]]]], [[10, 9, 3, 4,
3], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [-15/8, -15/8], [0, 0], [0, 0]]]], [[10, 9, 3, 4, 4], [v = 2^(1/
2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [0, 0], [1435821/1048576, 717911/524288]]]], [[10, 9, 3, 4, 5], [v = 2^(1/2)
, And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [0, 0], [3, 3]]]], [[10, 10, 9, 7, 1], [v = 2^(1/2), u = 0, 1 < x, And(1-x <
y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [
2, 2], [-1/2, -1/2], [0, 0]]]], [[10, 15, 1, 1, 1], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x < -u^2+1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-1, -\
1], [-3, -3]]]], [[10, 15, 1, 1, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x <
-u^2+1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-1, -1], [-2, -2]]]],
[[10, 15, 1, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y < 0, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [-1, -1], [0,
0]]]], [[10, 15, 1, 1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y
< 0, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-3, -3], [-1, -1], [2, 2]]]], [[10, 15, 1,
1, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y < 0, (-x-y)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[10, 16, 9, 2, 1], [v = 2^(1
/2), u = 3^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [-4, -4],
[-3, -3]]]], [[10, 16, 9, 2, 2], [v = 2^(1/2), u = 3^(1/2), 1 < x, y = -x-2, z
= -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288
, 1816187/1048576], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [
[10, 16, 9, 2, 3], [v = 2^(1/2), u = 3^(1/2), 1 < x, y = -x-2, And(-2^(1/2) <
z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [2, 2], [-4, -4], [0, 0]]]], [[10, 16, 9, 2, 4], [v
= 2^(1/2), u = 3^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [-4
, -4], [741455/524288, 1482911/1048576]]]], [[10, 16, 9, 2, 5], [v = 2^(1/2),
u = 3^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [-4, -4], [3, 3]]]
], [[10, 19, 5, 3, 1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), And(-u^2-x+1 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3, 3], [-1/2, -1/2], [-15/4, -15/4], [-4, -4]]]], [[10, 19, 5, 3, 2], [v =
2^(1/2), 2 < u, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [-\
15/4, -15/4], [-2161695/1048576, -1080847/524288]]]], [[10, 19, 5, 3, 3], [v =
2^(1/2), 2 < u, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3,
3], [-1/2, -1/2], [-15/4, -15/4], [0, 0]]]], [[10, 19, 5, 3, 4], [v = 2^(1/2),
2 < u, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [-15/4
, -15/4], [1080847/524288, 2161695/1048576]]]], [[10, 19, 5, 3, 5], [v = 2^(1/
2), 2 < u, And(-1 < x,x < 0), And(-u^2-x+1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [-15/4
, -15/4], [4, 4]]]], [[11, 1, 11, 6, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2
-v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-5, -5], [16, 
16], [-1, -1], [0, 0]]]], [[11, 5, 8, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2)
< u,u < -v), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [0, 0], [0, 0], [-1, -1]]]], [[11, 5, 8, 6, 2], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = 0, z = 0], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [0, 0], [0, 0], [0, 0]]]], [[11, 5, 8, 6, 3]
, [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = 0, 0 < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [0, 0], [1,
1]]]], [[11, 7, 9, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0
< x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 13, 3,
6, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-919691/524288, -919691/524288], [919691/524288, 919691/524288], [-1
, -1]]]], [[11, 13, 3, 6, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^
(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [919691/
524288, 919691/524288], [0, 0]]]], [[11, 13, 3, 6, 3], [2^(1/2) < v, And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [919691/524288, 919691/524288], [1, 1]]]], [[11, 15, 2, 7, 1],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, -u^2+v^2+1 < y, z =
z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [3, 3], [0, 0]]]], [[11, 19, 3, 5, 1], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/
1048576], [-2, -2]]]], [[11, 19, 3, 5, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-\
915943/524288, -915943/524288], [915943/1048576, 915943/1048576], [-7840147/
8388608, -3920073/4194304]]]], [[11, 19, 3, 5, 3], [2^(1/2) < v, And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576,
915943/1048576], [-1/8388608, -1/8388608]]]], [[11, 19, 3, 5, 4], [2^(1/2) < v
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/
1048576], [490009/524288, 980019/1048576]]]], [[11, 19, 3, 5, 5], [2^(1/2) < v
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/
1048576], [2, 2]]]], [[11, 20, 9, 8, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 <
x, y = 0, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[2, 2], [0, 0], [0, 0]]]], [[1, 5, 2, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-
y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
195745/131072, -1565959/1048576], [1300363/1048576, 1300363/1048576], [-2, -2]
]]], [[1, 5, 2, 5, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+
v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-195745/131072, -\
1565959/1048576], [1300363/1048576, 1300363/1048576], [-527729/1048576, -\
1055457/2097152]]]], [[1, 5, 2, 5, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(
1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072
, -403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 
1300363/1048576], [-1/4194304, -1/4194304]]]], [[1, 5, 2, 5, 4], [v < -2^(1/2)
, And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v
^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/
1048576], [32983/65536, 527729/1048576]]]], [[1, 5, 2, 5, 5], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2
+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/
1048576], [2, 2]]]], [[1, 7, 3, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [-266003/1048576, -133001/524288], [-3, -3]]]], [[1,
7, 3, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-\
266003/1048576, -133001/524288], [-1287385/1048576, -160923/131072]]]], [[1, 7
, 3, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))],
[regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-657289/
524288, -657289/524288], [-266003/1048576, -133001/524288], [0, 0]]]], [[1, 7,
3, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x <
-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-266003
/1048576, -133001/524288], [160923/131072, 1287385/1048576]]]], [[1, 7, 3, 2,
5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y
= u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-657289/524288, -657289/524288], [-266003/1048576
, -133001/524288], [3, 3]]]], [[1, 10, 9, 6, 1], [v < -2^(1/2), u = -(v^2-2)^(
1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [2, 2], [-1, -1], [0, 0]]]], [[1, 12, 6, 3, 1], [v < -2^(1/2
), u = (v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [-3/2, -3/2],
[-3, -3]]]], [[1, 12, 6, 3, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, And(-\
3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[1,
12, 6, 3, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576,
10837/4096], [0, 0], [-3/2, -3/2], [0, 0]]]], [[1, 12, 6, 3, 4], [v < -2^(1/2)
, u = (v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain
, [[-3, -3], [2774271/1048576, 10837/4096], [0, 0], [-3/2, -3/2], [642119/
524288, 1284239/1048576]]]], [[1, 12, 6, 3, 5], [v < -2^(1/2), u = (v^2-2)^(1/
2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [0, 0], [-3/2, -3/2], [3, 3]]]], [[1, 18, 5, 3,
1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0),
z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576]
, [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[1, 18, 5, 3, 2], [v < -2^(1/2), u
= (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [-3/4
, -3/4], [-146543/131072, -1172343/1048576]]]], [[1, 18, 5, 3, 3], [v < -2^(1/
2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[1, 18, 5, 3, 4], [v < -2^(1
/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/
2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2],
[-3/4, -3/4], [1172343/1048576, 146543/131072]]]], [[1, 18, 5, 3, 5], [v < -2^
(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2]
, [-3/4, -3/4], [3, 3]]]], [[1, 20, 3, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2)
, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -1/2], [-3, -3]
]]], [[1, 20, 3, 3, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x < -1),
And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -207243/
131072]]]], [[1, 20, 3, 3, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3 < x,x
< -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-2, -2], [-1/2,
-1/2], [0, 0]]]], [[1, 20, 3, 3, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), And(-3
< x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -1/2], [207243/131072, 
1657945/1048576]]]], [[1, 20, 3, 3, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), And(
-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [3477733/1048576, 1738867/524288], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[2
, 2, 7, 7, 1], [v = -2^(1/2), u = -2, And(0 < x,x < 1), And(0 < y,y < 1-x), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2
], [1/4, 1/4], [0, 0]]]], [[2, 4, 5, 5, 1], [v = -2^(1/2), u = -3^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [1/4, 1/4], [-2, -2]]]], [[2, 4, 5, 5, 2], [v = -2^(1/2), u = -3^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1/2,
-1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[2, 4, 5, 5, 3], [v = -2^(1/2), u = -3^(1
/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2, 4, 5, 5, 4], [v =
-2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 4, 5, 5, 5], [
v = -2^(1/2), u = -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[2, 7, 6, 4, 1], [v =
-2^(1/2), And(v < u,u < -1), x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [0, 0], [-2, -2]]]], [[2,
7, 6, 4, 2], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, y = 0, z = -(u^2-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [0, 0], [-\
1417877/2097152, -354469/524288]]]], [[2, 7, 6, 4, 3], [v = -2^(1/2), And(v <
u,u < -1), x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [0, 0], [0, 0]]]], [[2, 7
, 6, 4, 4], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, y = 0, z = (u^2-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-479311/1048576, -239655/524288], [0, 0], [354469/524288,
708939/1048576]]]], [[2, 7, 6, 4, 5], [v = -2^(1/2), And(v < u,u < -1), x = -u
^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/
524288], [0, 0], [2, 2]]]], [[2, 9, 5, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0)
, And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-9/8, -9/8], [-3, -3]]]], [[2, 9, 5, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0
), And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-9/8, -9/8], [-668339/524288, -1336677/1048576]]]], [[2, 9, 5, 3, 3], [v =
-2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(u^2-x-3 < y,y < 0), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [0, 0]]]], [[2, 9, 5
, 3, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(u^2-x-3 < y,
y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [1336677/1048576, 668339/524288]]]
], [[2, 9, 5, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(
u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [3, 3]]]], [[2, 13,
2, 7, 1], [v = -2^(1/2), And(1 < u,u < -v), x = u^2-3, -u^2+3 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-3235683/2097152, -1617841/1048576], [3, 3], [0, 0]]]], [[2, 15, 3,
4, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = 0,
z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [0, 0
], [-3, -3]]]], [[2, 15, 3, 4, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And
(-u^2+1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [0, 0], [-1166407/1048576, -583203/524288]]]], [[2
, 15, 3, 4, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [0, 0], [0, 0]]]], [[2, 15, 3, 4, 4], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [0, 0], [583203/524288, 
1166407/1048576]]]], [[2, 15, 3, 4, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [0, 0], [3, 3]]]], [[3, 1, 6, 5, 1], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [
6860721/2097152, 6860721/2097152], [0, 0]]]], [[3, 3, 3, 6, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152],
[911923/524288, 1823847/1048576], [-1, -1]]]], [[3, 3, 3, 6, 2], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152],
[911923/524288, 1823847/1048576], [0, 0]]]], [[3, 3, 3, 6, 3], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [
911923/524288, 1823847/1048576], [1, 1]]]], [[3, 7, 4, 6, 1], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [598205/1048576, 299103/524288], [-2, -2
]]]], [[3, 7, 4, 6, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2
)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [
598205/1048576, 299103/524288], [-1374407/2097152, -687203/1048576]]]], [[3, 7
, 4, 6, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1,
y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/1048576, 299103/524288], [0, 0]]]], [[3, 7
, 4, 6, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1,
y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/
1048576, 299103/524288], [687203/1048576, 171801/262144]]]], [[3, 7, 4, 6, 5],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/1048576, 299103/
524288], [2, 2]]]], [[3, 9, 3, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^
(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0
], [-1812519/1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [
-2, -2]]]], [[3, 9, 3, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [-\
7798593/8388608, -121853/131072]]]], [[3, 9, 3, 5, 3], [And(-2^(1/2) < v,v < -\
1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(
0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [1812519/2097152, 1812519/2097152], [0, 0]]]], [[3, 9, 3, 5, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v
^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [1812519/2097152, 1812519/2097152], [121853/131072, 974825/1048576]]
]], [[3, 9, 3, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [1812519/2097152, 1812519/2097152], [2, 2]]]], [[3
, 17, 10, 4, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1,
y = -u^2+v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [6860721/1048576, 3430361/524288], [-13721443/2097152, -6860721/
1048576], [-1, -1]]]], [[3, 17, 10, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^
(1/2) < u, x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288], [-\
13721443/2097152, -6860721/1048576], [0, 0]]]], [[3, 17, 10, 4, 3], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576
, 3430361/524288], [-13721443/2097152, -6860721/1048576], [1, 1]]]], [[4, 2, 5
, 3, 1], [v = -1, u = -3^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[4, 2, 5, 3, 2], [v = -1, u = -3^(1/
2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain
, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-5/4, -5/4],
[-10837/8192, -1387135/1048576]]]], [[4, 2, 5, 3, 3], [v = -1, u = -3^(1/2), 
And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1/2, -1
/2], [-5/4, -5/4], [0, 0]]]], [[4, 2, 5, 3, 4], [v = -1, u = -3^(1/2), And(-1
< x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-5/4, -5/4], [1387135/
1048576, 10837/8192]]]], [[4, 2, 5, 3, 5], [v = -1, u = -3^(1/2), And(-1 < x,x
< 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[4
, 6, 3, 2, 1], [v = -1, u = -1, And(-1 < x,x < 0), y = -1-x, z < -1], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [
[4, 6, 3, 2, 2], [v = -1, u = -1, And(-1 < x,x < 0), y = -1-x, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [
[4, 6, 3, 2, 3], [v = -1, u = -1, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z <
1)], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [0, 0]]]
], [[4, 6, 3, 2, 4], [v = -1, u = -1, And(-1 < x,x < 0), y = -1-x, z = 1], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[4
, 6, 3, 2, 5], [v = -1, u = -1, And(-1 < x,x < 0), y = -1-x, 1 < z], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[4
, 8, 3, 6, 1], [v = -1, u = 0, And(-2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[4,
8, 3, 6, 2], [v = -1, u = 0, And(-2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[4, 8,
3, 6, 3], [v = -1, u = 0, And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[-1, -1], [0, 0], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[4, 14, 3, 3, 1], [v
= -1, u = 3^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [-1/2
, -1/2], [-3, -3]]]], [[4, 14, 3, 3, 2], [v = -1, u = 3^(1/2), And(-3 < x,x <
-1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-2, -2], [-1/2, -1/2], [-3315889/2097152, -\
207243/131072]]]], [[4, 14, 3, 3, 3], [v = -1, u = 3^(1/2), And(-3 < x,x < -1)
, And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [-1/2, -\
1/2], [0, 0]]]], [[4, 14, 3, 3, 4], [v = -1, u = 3^(1/2), And(-3 < x,x < -1),
And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[4, 14, 3, 3, 5], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(
-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[4, 15, 11, 2, 1], [v =
-1, 3^(1/2) < u, u^2-2 < x, y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [3
, 3], [8, 8], [-17, -17], [-4, -4]]]], [[4, 15, 11, 2, 2], [v = -1, 3^(1/2) <
u, u^2-2 < x, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [3, 3], [8, 8],
[-17, -17], [-3, -3]]]], [[4, 15, 11, 2, 3], [v = -1, 3^(1/2) < u, u^2-2 < x,
y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-\
17, -17], [0, 0]]]], [[4, 15, 11, 2, 4], [v = -1, 3^(1/2) < u, u^2-2 < x, y =
-u^2-x, z = u], [regular_chain, [[-1, -1], [3, 3], [8, 8], [-17, -17], [3, 3]]
]], [[4, 15, 11, 2, 5], [v = -1, 3^(1/2) < u, u^2-2 < x, y = -u^2-x, u < z], [
regular_chain, [[-1, -1], [3, 3], [8, 8], [-17, -17], [4, 4]]]], [[5, 4, 5, 3,
1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[5, 4, 5, 3, 2], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [
[5, 4, 5, 3, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), 
And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [-3/4, -3/4],
[0, 0]]]], [[5, 4, 5, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 <
x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2
], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [-3/4, -3/4], [1172343/
1048576, 146543/131072]]]], [[5, 4, 5, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)
^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2]
, [-3/4, -3/4], [3, 3]]]], [[5, 6, 3, 7, 1], [And(-1 < v,v < 0), u = v, And(-1
< x,x < 0), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2
, -1/2], [2, 2], [0, 0]]]], [[5, 9, 7, 1, 1], [And(-1 < v,v < 0), And(-v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-3, -3], [-3, -3]]]], [[5, 9, 7, 1, 2], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y
< -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [-\
7616729/4194304, -952091/524288]]]], [[5, 9, 7, 1, 3], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [0,
0]]]], [[5, 9, 7, 1, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837
/4194304], [-3, -3], [952091/524288, 1904183/1048576]]]], [[5, 9, 7, 1, 5], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y
< -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [3,
3]]]], [[5, 11, 5, 7, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [
767309/1048576, 767309/1048576], [0, 0]]]], [[6, 1, 9, 9, 1], [v = 0, u < -2^(
1/2), And(1 < x,x < u^2-1), u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [-3,
-3], [9/2, 9/2], [5, 5], [0, 0]]]], [[6, 3, 7, 1, 1], [v = 0, And(-2^(1/2) < u
,u < -1), And(0 < x,x < u^2-1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576,
239655/1048576], [-4, -4], [-3, -3]]]], [[6, 3, 7, 1, 2], [v = 0, And(-2^(1/2)
< u,u < -1), And(0 < x,x < u^2-1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/1048576,
239655/1048576], [-4, -4], [-32581713/16777216, -2036357/1048576]]]], [[6, 3,
7, 1, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), y < -u^2-x-1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [-4, -4], [0, 0
]]]], [[6, 3, 7, 1, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1)
, y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576,
-1265743/1048576], [239655/1048576, 239655/1048576], [-4, -4], [2036357/
1048576, 1018179/524288]]]], [[6, 3, 7, 1, 5], [v = 0, And(-2^(1/2) < u,u < -1
), And(0 < x,x < u^2-1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [239655/1048576, 239655/1048576], [-\
4, -4], [3, 3]]]], [[6, 9, 7, 2, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x
,x < u^2-1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576], [-1408059
/524288, -5632235/2097152], [-3, -3]]]], [[6, 9, 7, 2, 2], [v = 0, And(1 < u,u
< 2^(1/2)), And(0 < x,x < u^2-1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 
239655/1048576], [-1408059/524288, -5632235/2097152], [-410915/262144, -\
3287319/2097152]]]], [[6, 9, 7, 2, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(0 <
x,x < u^2-1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 
239655/1048576], [-1408059/524288, -5632235/2097152], [-1/4194304, -1/4194304]
]]], [[6, 9, 7, 2, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), y
= -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [239655/1048576, 239655/1048576], [-1408059/524288, -5632235
/2097152], [1643659/1048576, 410915/262144]]]], [[6, 9, 7, 2, 5], [v = 0, And(
1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 
239655/1048576], [-1408059/524288, -5632235/2097152], [3, 3]]]], [[6, 11, 4, 1
, 1], [v = 0, 2^(1/2) < u, x = -1, y < -u^2, z < -(1-y)^(1/2)], [regular_chain
, [[0, 0], [3, 3], [-1, -1], [-10, -10], [-5, -5]]]], [[6, 11, 4, 1, 2], [v =
0, 2^(1/2) < u, x = -1, y < -u^2, z = -(1-y)^(1/2)], [regular_chain, [[0, 0],
[3, 3], [-1, -1], [-10, -10], [-1738867/524288, -3477733/1048576]]]], [[6, 11,
4, 1, 3], [v = 0, 2^(1/2) < u, x = -1, y < -u^2, And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-1, -1], [-10, -10], [0, 0]]]], [
[6, 11, 4, 1, 4], [v = 0, 2^(1/2) < u, x = -1, y < -u^2, z = (1-y)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-1, -1], [-10, -10], [3477733/1048576, 
1738867/524288]]]], [[6, 11, 4, 1, 5], [v = 0, 2^(1/2) < u, x = -1, y < -u^2,
(1-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-1, -1], [-10, -10], [5, 5
]]]], [[7, 3, 8, 3, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/524288, 486043/1048576], [-28442235/16777216, -28442235/16777216], [-3,
-3]]]], [[7, 3, 8, 3, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2
-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
243021/524288, 486043/1048576], [-28442235/16777216, -28442235/16777216], [-\
1163761/1048576, -72735/65536]]]], [[7, 3, 8, 3, 3], [And(0 < v,v < 1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y <
-u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [-28442235/16777216, -28442235/16777216], [0, 0]]]], [[7, 3,
8, 3, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u
^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [243021/524288,
486043/1048576], [-28442235/16777216, -28442235/16777216], [72735/65536, 
1163761/1048576]]]], [[7, 3, 8, 3, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-
u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151
/262144], [243021/524288, 486043/1048576], [-28442235/16777216, -28442235/
16777216], [3, 3]]]], [[7, 5, 7, 2, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [-3, -\
3]]]], [[7, 5, 7, 2, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [-19417/16384,
-1242687/1048576]]]], [[7, 5, 7, 2, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152,
-1696631/2097152], [-1248837/4194304, -1248837/4194304], [-1160525/1048576, -\
290131/262144], [0, 0]]]], [[7, 5, 7, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(
1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/262144], [
1242687/1048576, 19417/16384]]]], [[7, 5, 7, 2, 5], [And(0 < v,v < 1), And(-(v
^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1248837/4194304, -1248837/4194304], [-1160525/1048576, -290131/
262144], [3, 3]]]], [[8, 1, 4, 6, 1], [v = 1, u < -3^(1/2), x = -1, y = 1, z <
0], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [1, 1], [-1, -1]]]], [[8, 1,
4, 6, 2], [v = 1, u < -3^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[1, 1]
, [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[8, 1, 4, 6, 3], [v = 1, u < -3^(1/2
), x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [1, 1],
[1, 1]]]], [[8, 3, 1, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2,
u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [6, 6], [0, 0]]]], [[8, 7, 2, 5, 1], [v = 1, And(-1 < u,u
< 0), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [13/8, 13/8], [-2, -2]]]],
[[8, 7, 2, 5, 2], [v = 1, And(-1 < u,u < 0), x = u^2-2, And(-2*u^2+2 < y,y < -
u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-7/4,
-7/4], [13/8, 13/8], [-46341/131072, -370727/1048576]]]], [[8, 7, 2, 5, 3], [v
= 1, And(-1 < u,u < 0), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+
2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-\
7/4, -7/4], [13/8, 13/8], [0, 0]]]], [[8, 7, 2, 5, 4], [v = 1, And(-1 < u,u <
0), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-7/4, -7/4], [13/8, 13/8], [370727/
1048576, 46341/131072]]]], [[8, 7, 2, 5, 5], [v = 1, And(-1 < u,u < 0), x = u^
2-2, And(-2*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[1,
1], [-1/2, -1/2], [-7/4, -7/4], [13/8, 13/8], [2, 2]]]], [[8, 9, 1, 8, 1], [v
= 1, And(0 < u,u < 1), x < u^2-2, y = -x, z < 0], [regular_chain, [[1, 1], [1/
2, 1/2], [-3, -3], [3, 3], [-1, -1]]]], [[8, 9, 1, 8, 2], [v = 1, And(0 < u,u
< 1), x < u^2-2, y = -x, z = 0], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3]
, [3, 3], [0, 0]]]], [[8, 9, 1, 8, 3], [v = 1, And(0 < u,u < 1), x < u^2-2, y
= -x, 0 < z], [regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [3, 3], [1, 1]]]]
, [[8, 14, 8, 3, 1], [v = 1, u = 3^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-\
1)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1],
[-5/2, -5/2], [-3, -3]]]], [[8, 14, 8, 3, 2], [v = 1, u = 3^(1/2), x = 1, And(
-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [1, 1], [-5/2, -5/2], [-1284239/1048576, -642119/524288]]]],
[[8, 14, 8, 3, 3], [v = 1, u = 3^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)
^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [1, 1], [-5/2, -5/2], [0, 0]]]], [[8, 14, 8, 3, 4], [v = 1,
u = 3^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1
, 1], [908093/524288, 1816187/1048576], [1, 1], [-5/2, -5/2], [642119/524288,
1284239/1048576]]]], [[8, 14, 8, 3, 5], [v = 1, u = 3^(1/2), x = 1, And(-4 < y
,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1, 1], [-5/2, -5/2], [3, 3]]]], [[9, 1, 5, 6, 1], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [-1,
-1]]]], [[9, 1, 5, 6, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1
< x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[9, 1, 5, 6, 3], [And(1 < v
,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1/2, -1/2], [1
/2, 1/2], [1, 1]]]], [[9, 5, 2, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
1538813/1048576, -384703/262144], [384703/262144, 1538813/1048576], [-1, -1]]]
], [[9, 5, 2, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1538813/1048576, -\
384703/262144], [384703/262144, 1538813/1048576], [0, 0]]]], [[9, 5, 2, 6, 3],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = u
^2-v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1538813/1048576, -384703/262144], [
384703/262144, 1538813/1048576], [1, 1]]]], [[9, 7, 3, 7, 1], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v
^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/2097152, -\
2695357/2097152], [1122493/1048576, 1122493/1048576], [-2, -2]]]], [[9, 7, 3,
7, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1
< x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [1122493/1048576, 1122493/1048576], [-\
485927/1048576, -242963/524288]]]], [[9, 7, 3, 7, 3], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [1122493/1048576, 1122493/1048576], [0, 0]]]], [[9
, 7, 3, 7, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^
2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [1122493/1048576, 
1122493/1048576], [242963/524288, 485927/1048576]]]], [[9, 7, 3, 7, 5], [And(1
< v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), 
And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-2695357/
2097152, -2695357/2097152], [1122493/1048576, 1122493/1048576], [2, 2]]]], [[9
, 9, 10, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1
/2)), x = 1, And(-1 < y,y < -u^2+v^2-2), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [1, 1], [-3235683/4194304, -3235683/4194304
], [0, 0]]]], [[9, 11, 9, 8, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [0, 0], [0, 0]
]]], [[9, 15, 10, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [1, 1], [-1, -1], [-1, -1]]]
], [[9, 15, 10, 4, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [1, 1], [-1, -1], [0, 0]]]], [[9, 15
, 10, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, x = 1, y = -1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [1, 1], [-1, -1], [1, 1]]]], [[9, 17, 7, 7, 1]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(0 < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [1/2, 1/2], [6336433/2097152, 6336433/2097152], [0, 0]]]], [[10, 5, 10, 6,
1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y = -1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [-1, -1], [-1, -1]]]], [[10, 5, 10, 6, 2], [v = 2^(1/2), And
(-3^(1/2) < u,u < -v), x = 1, y = -1, z = 0], [regular_chain, [[741455/524288,
1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [-1, -1], [0,
0]]]], [[10, 5, 10, 6, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y =
-1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1, 1], [-1, -1], [1, 1]]]], [[10, 7, 11, 5, 1], [
v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [2, 2], [-2336807/1048576, -2336807/1048576], [-2, -2]]]],
[[10, 7, 11, 5, 2], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(-u^2-x+1 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1265743/1048576, -1265743/1048576], [2, 2], [-2336807/1048576, -2336807/
1048576], [-501295/1048576, -250647/524288]]]], [[10, 7, 11, 5, 3], [v = 2^(1/
2), And(-v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-2336807/1048576, -2336807/
1048576], [0, 0]]]], [[10, 7, 11, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), 1 <
x, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-\
2336807/1048576, -2336807/1048576], [250647/524288, 501295/1048576]]]], [[10,
7, 11, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, And(-u^2-x+1 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [2, 2], [-2336807/1048576, -2336807/
1048576], [2, 2]]]], [[10, 11, 8, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), x = -
u^2+1, And(u^2-1 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [3/4, 3/4], [-3/8, -3/8], [0, 0]]]], [[10, 13, 7, 8, 1],
[v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [239655/1048576, 239655/1048576]
, [-1, -1]]]], [[10, 13, 7, 8, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1
< x,x < 0), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [
239655/1048576, 239655/1048576], [0, 0]]]], [[10, 13, 7, 8, 3], [v = 2^(1/2),
And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/
1048576, -239655/1048576], [239655/1048576, 239655/1048576], [1, 1]]]], [[11,
3, 1, 5, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^
2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3
, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1443353/524288, 1443353
/524288], [-3, -3]]]], [[11, 3, 1, 5, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4,
-4], [1443353/524288, 1443353/524288], [-1170947/1048576, -585473/524288]]]],
[[11, 3, 1, 5, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
< -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4
], [1443353/524288, 1443353/524288], [0, 0]]]], [[11, 3, 1, 5, 4], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-\
1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-4, -4], [1443353/524288, 1443353/524288], [585473/524288,
1170947/1048576]]]], [[11, 3, 1, 5, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4],
[1443353/524288, 1443353/524288], [3, 3]]]], [[11, 4, 9, 6, 1], [2^(1/2) < v,
u = -(v^2+1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [2, 2], [0, 0], [0, 0]]]], [[11, 9, 1, 2, 1], [2^(1/2
) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, z < -
(-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-4, -4], [0, 0], [-3, -3]]]], [[11, 9, 1, 2, 2], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [0,
0], [-2, -2]]]], [[11, 9, 1, 2, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [0,
0], [0, 0]]]], [[11, 9, 1, 2, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-4, -4], [0, 0], [2, 2]]]], [[11, 9,
1, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^
2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-4, -4], [0, 0], [3, 3]]]], [[11, 10, 7, 5, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [-1/
4, -1/4], [0, 0]]]], [[11, 16, 1, 6, 1], [2^(1/2) < v, u = v, x < -1, y = -x,
z < 0], [regular_chain, [[3, 3], [3, 3], [-2, -2], [2, 2], [-1, -1]]]], [[11,
16, 1, 6, 2], [2^(1/2) < v, u = v, x < -1, y = -x, z = 0], [regular_chain, [[3
, 3], [3, 3], [-2, -2], [2, 2], [0, 0]]]], [[11, 16, 1, 6, 3], [2^(1/2) < v, u
= v, x < -1, y = -x, 0 < z], [regular_chain, [[3, 3], [3, 3], [-2, -2], [2, 2]
, [1, 1]]]], [[11, 18, 3, 2, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x
< -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[11, 18, 3, 2, 2],
[2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)],
[regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [-1/2,
-1/2], [-1482911/1048576, -741455/524288]]]], [[11, 18, 3, 2, 3], [2^(1/2) < v
, u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2
))], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [
-1/2, -1/2], [0, 0]]]], [[11, 18, 3, 2, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), 
And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/
1048576]]]], [[11, 18, 3, 2, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), And(-2 < x,x
< -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889
/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[11, 21, 10, 3, 1], [2^(1/2
) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1),
z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [15, 15], [-47/2,
-47/2], [-4, -4]]]], [[11, 21, 10, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [15, 15], [-47/2, -47/2], [-24456785/8388608,
-1528549/524288]]]], [[11, 21, 10, 3, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z
,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [15, 15], [-47/2
, -47/2], [0, 0]]]], [[11, 21, 10, 3, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [15, 15], [-47/2, -47/2], [1528549/524288, 
3057099/1048576]]]], [[11, 21, 10, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [5, 5], [15, 15], [-47/2, -47/2], [4, 4]]]], [[1, 2, 2
, 4, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, y = 3, z < 0], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [3, 3
], [-1, -1]]]], [[1, 2, 2, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, y
= 3, z = 0], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [
-3, -3], [3, 3], [0, 0]]]], [[1, 2, 2, 4, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2
), x = -3, y = 3, 0 < z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [3, 3], [1, 1]]]], [[1, 3, 10, 5, 1], [v < -2^(1/2
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-1 < y,y < u^2-v^2-2
), z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1
, 1], [-394777/524288, -394777/524288], [0, 0]]]], [[1, 7, 11, 5, 1], [v < -2^
(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152
], [2, 2], [-4710875/2097152, -4710875/2097152], [-2, -2]]]], [[1, 7, 11, 5, 2
], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [-16263/32768,
-520415/1048576]]]], [[1, 7, 11, 5, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^
(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [2,
2], [-4710875/2097152, -4710875/2097152], [0, 0]]]], [[1, 7, 11, 5, 4], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [520415/1048576, 16263
/32768]]]], [[1, 7, 11, 5, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), 1
< x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3
], [-6111549/2097152, -6111549/2097152], [2, 2], [-4710875/2097152, -4710875/
2097152], [2, 2]]]], [[1, 9, 10, 4, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [1, 1], [-1, -1], [-1, -1]]]], [[1, 9, 
10, 4, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y
= -1, z = 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608
], [1, 1], [-1, -1], [0, 0]]]], [[1, 9, 10, 4, 3], [v < -2^(1/2), And(-(v^2-1)
^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -\
3], [-22960369/8388608, -22960369/8388608], [1, 1], [-1, -1], [1, 1]]]], [[1,
15, 4, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-u^2+v
^2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [-2, -2]]]], [
[1, 15, 4, 7, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-u
^2+v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [-\
16263/32768, -520415/1048576]]]], [[1, 15, 4, 7, 3], [v < -2^(1/2), And((v^2-1
)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-1, -1], [1580581/2097152, 1580581/2097152], [0, 0]]]], [[1, 15, 4, 7, 4], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 1), z
= (1-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-1, -1], [1580581/2097152, 1580581/2097152], [520415/1048576, 16263/32768]]]]
, [[1, 15, 4, 7, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And
(-u^2+v^2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [1580581/2097152, 1580581/2097152], [2, 2
]]]], [[1, 17, 5, 2, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152
], [-776075/1048576, -1552149/2097152], [-3, -3]]]], [[1, 17, 5, 2, 2], [v < -
2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^
2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [-776075/1048576, -\
1552149/2097152], [-1281417/1048576, -160177/131072]]]], [[1, 17, 5, 2, 3], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2
+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1579769/2097152, -1579769/2097152
], [-776075/1048576, -1552149/2097152], [0, 0]]]], [[1, 17, 5, 2, 4], [v < -2^
(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-
x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851
/131072], [-1579769/2097152, -1579769/2097152], [-776075/1048576, -1552149/
2097152], [160177/131072, 1281417/1048576]]]], [[1, 17, 5, 2, 5], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-776075/1048576, -1552149/
2097152], [3, 3]]]], [[1, 21, 2, 6, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
-u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [regular_chain, [[-3, -3], [5, 5], [-17,
-17], [32, 32], [0, 0]]]], [[2, 1, 8, 5, 1], [v = -2^(1/2), u < -2, x = 1, And
(-1 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[2, 10, 4, 5, 1], [v = -2^(1/2), u
= 0, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 10,
4, 5, 2], [v = -2^(1/2), u = 0, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1/2, 1/
2], [-1482911/2097152, -741455/1048576]]]], [[2, 10, 4, 5, 3], [v = -2^(1/2),
u = 0, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[2, 10, 4, 5, 4], [v = -2^(1/2), u = 0, x = -1, And(0 < y,y <
1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2, 10, 4, 5, 5],
[v = -2^(1/2), u = 0, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[2, 12, 1, 4, 1], [v = -2^(1/2), u = 1, x < -2, y = -x-2, z <
-2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -\
3], [1, 1], [-3, -3]]]], [[2, 12, 1, 4, 2], [v = -2^(1/2), u = 1, x < -2, y =
-x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1,
1], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[2, 12, 1, 4, 3]
, [v = -2^(1/2), u = 1, x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [1, 1],
[0, 0]]]], [[2, 12, 1, 4, 4], [v = -2^(1/2), u = 1, x < -2, y = -x-2, z = 2^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1, 1], [-3, -3], [
1, 1], [741455/524288, 1482911/1048576]]]], [[2, 12, 1, 4, 5], [v = -2^(1/2),
u = 1, x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1, 1], [-3, -3], [1, 1], [3, 3]]]], [[2, 16, 3, 1, 1], [v = -
2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[2, 16, 3, 1, 2], [v = -2^(1/2
), u = 3^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[2,
16, 3, 1, 3], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-2, -2], [0,
0]]]], [[2, 16, 3, 1, 4], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y <
-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[908093/524288, 1816187/1048576], [-3/2, -3/2], [-2, -2], [980853/524288, 
1961707/1048576]]]], [[2, 16, 3, 1, 5], [v = -2^(1/2), u = 3^(1/2), And(-2 < x
,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-2, -2], [3,
3]]]], [[2, 18, 1, 3, 1], [v = -2^(1/2), u = 2, x < -3, And(0 < y,y < -x-3), z
< -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-4, -4], [1/2, 1/2], [-3, -3]]]], [[2, 18, 1, 3, 2], [v = -2^(1/2), u = 2, x
< -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-4, -4], [1/2, 1/2], [-7846825/4194304, -\
980853/524288]]]], [[2, 18, 1, 3, 3], [v = -2^(1/2), u = 2, x < -3, And(0 < y,
y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-4, -4], [1/2, 1/2], [0, 0]]]], [[2
, 18, 1, 3, 4], [v = -2^(1/2), u = 2, x < -3, And(0 < y,y < -x-3), z = (-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4],
[1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[2, 18, 1, 3, 5], [v = -2^(1
/2), u = 2, x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [1/2, 1/2], [3, 3]]]], [[
3, 4, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x <
-1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2],
[-1/4, -1/4], [-3, -3]]]], [[3, 4, 3, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(
v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]
]], [[3, 4, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 <
x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[3, 4, 3, 3, 4], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y
,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [-1/4, -1/4], [
1387135/1048576, 10837/8192]]]], [[3, 4, 3, 3, 5], [And(-2^(1/2) < v,v < -1),
u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[3, 6, 1, 5, 1], [
And(-2^(1/2) < v,v < -1), u = v, x < -1, And(-1-x < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576,
-1265743/1048576], [-2, -2], [3/2, 3/2], [-2, -2]]]], [[3, 6, 1, 5, 2], [And(-
2^(1/2) < v,v < -1), u = v, x < -1, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]]
, [[3, 6, 1, 5, 3], [And(-2^(1/2) < v,v < -1), u = v, x < -1, And(-1-x < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [3
/2, 3/2], [0, 0]]]], [[3, 6, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u = v, x < -\
1, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2, -2], [3/2, 3/2
], [741455/1048576, 46341/65536]]]], [[3, 6, 1, 5, 5], [And(-2^(1/2) < v,v < -\
1), u = v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-1265743/1048576, -1265743/1048576], [-2
, -2], [3/2, 3/2], [2, 2]]]], [[3, 10, 3, 2, 1], [And(-2^(1/2) < v,v < -1), u
= (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2,
-3/2], [-1/2, -1/2], [-3, -3]]]], [[3, 10, 3, 2, 2], [And(-2^(1/2) < v,v < -1)
, u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [
[3, 10, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x <
-1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-1
/2, -1/2], [0, 0]]]], [[3, 10, 3, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1
)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3
/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]]]], [[3, 10, 3, 2, 5], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(
1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[3, 12, 1, 4,
1], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, y = -1-x, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[3, 12, 1, 4, 2], [And(-2^(1
/2) < v,v < -1), u = -v, x < -1, y = -1-x, z = -1], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1,
1], [-1, -1]]]], [[3, 12, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = -v, x < -1,
y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1, 1], [0, 0]]]], [[3
, 12, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-2, -2], [1, 1], [1, 1]]]], [[3, 12, 1, 4, 5], [And(-2^(1/2
) < v,v < -1), u = -v, x < -1, y = -1-x, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-2, -2], [1,
1], [2, 2]]]], [[3, 15, 3, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-
x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [911923/1048576,
911923/1048576], [-2, -2]]]], [[3, 15, 3, 5, 2], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152]
, [911923/1048576, 911923/1048576], [-7822925/8388608, -1955731/2097152]]]], [
[3, 15, 3, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [911923/
1048576, 911923/1048576], [-1/4194304, -1/4194304]]]], [[3, 15, 3, 5, 4], [And
(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [911923/1048576, 911923/1048576], [977865/1048576,
488933/524288]]]], [[3, 15, 3, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [911923/
1048576, 911923/1048576], [2, 2]]]], [[3, 16, 9, 4, 1], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-2, -2],
[-1, -1]]]], [[3, 16, 9, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
1 < x, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [2, 2], [-2, -2], [0, 0]]]], [[3, 16, 9, 4, 3
], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [2, 2], [-2, -2], [1, 1]]]], [[4, 3, 4, 6, 1], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [-1, -1], [1, 1], [-1, -1]]]], [[4, 3, 4, 6, 2],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = 1, z = 0], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1], [1, 1], [0, 0]]]]
, [[4, 3, 4, 6, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = -1, y = 1, 0
< z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1, -1
], [1, 1], [1, 1]]]], [[4, 5, 3, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), And
(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [718965/2097152, 718965/2097152], [-2, -2]]]], [[4, 5, 3, 5, 2], [v
= -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2),
z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [718965/2097152, 718965/
2097152], [-15789523/16777216, -7894761/8388608]]]], [[4, 5, 3, 5, 3], [v = -1
, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [718965/
2097152, 718965/2097152], [-1/16777216, -1/16777216]]]], [[4, 5, 3, 5, 4], [v
= -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [718965/2097152, 718965/
2097152], [986845/1048576, 493423/524288]]]], [[4, 5, 3, 5, 5], [v = -1, And(-
2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(0 < y,y < u^2-x-2), (-x-y)^(1/2
) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1288231/1048576, -1288231/1048576], [718965/2097152, 718965/2097152], [2, 2]]]
], [[4, 11, 5, 2, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2),
y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-359483/524288, -1437931/
2097152], [-3, -3]]]], [[4, 11, 5, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), And
(-1 < x,x < u^2-2), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-359483/
524288, -1437931/2097152], [-1265743/1048576, -1265743/1048576]]]], [[4, 11, 5
, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -u^2-x, 
And(-u < z,z < u)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-359483/524288, -1437931/
2097152], [0, 0]]]], [[4, 11, 5, 2, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(-\
1 < x,x < u^2-2), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [-359483/
524288, -1437931/2097152], [1265743/1048576, 1265743/1048576]]]], [[4, 11, 5,
2, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -u^2-x, u <
z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [3, 3]]]], [[4
, 13, 4, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y < -u^2+1, z <
-(1-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152],
[-1, -1], [-3, -3], [-3, -3]]]], [[4, 13, 4, 1, 2], [v = -1, And(2^(1/2) < u,u
< 3^(1/2)), x = -1, y < -u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-1, -1], [-3, -3], [-2, -2]]]], [[4, 13,
4, 1, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -1, y < -u^2+1, And(-(1-y
)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-1, -1], [-3, -3], [0, 0]]]], [[4, 13, 4, 1, 4], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = -1, y < -u^2+1, z = (1-y)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1, -1], [-3, -\
3], [2, 2]]]], [[4, 13, 4, 1, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -\
1, y < -u^2+1, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [-1, -1], [-3, -3], [3, 3]]]], [[5, 1, 8, 3, 1], [And(-1 < v
,v < 0), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-47/8, -47/8], [-4, -4
]]]], [[5, 1, 8, 3, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, And(-u^
2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [1, 1], [-47/8, -47/8], [-1157597/524288, -2315193/1048576]]]], [[5, 1, 8,
3, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -\
1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
-3, -3], [1, 1], [-47/8, -47/8], [0, 0]]]], [[5, 1, 8, 3, 4], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [-47/8, -47/8], [2315193/
1048576, 1157597/524288]]]], [[5, 1, 8, 3, 5], [And(-1 < v,v < 0), u < -(v^2+2
)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [-3, -3], [1, 1], [-47/8, -47/8], [4, 4]]]], [[5, 3, 5, 2, 1],
[And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/
16777216], [-3, -3]]]], [[5, 3, 5, 2, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [
-1/2, -1/2], [-8235625/4194304, -32942499/16777216], [-3291611/2097152, -\
1645805/1048576]]]], [[5, 3, 5, 2, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/16777216],
[0, 0]]]], [[5, 3, 5, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2],
[-8235625/4194304, -32942499/16777216], [1645805/1048576, 822903/524288]]]], [
[5, 3, 5, 2, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [-8235625/
4194304, -32942499/16777216], [3, 3]]]], [[5, 12, 4, 9, 1], [And(-1 < v,v < 0)
, u = (v^2+2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[-1/2, -1/2], [3/
2, 3/2], [-1, -1], [3, 3], [0, 0]]]], [[6, 1, 1, 8, 1], [v = 0, u < -2^(1/2),
x < -u^2-1, y = u^2-x-1, z = z], [regular_chain, [[0, 0], [-3, -3], [-11, -11]
, [19, 19], [0, 0]]]], [[6, 4, 7, 6, 1], [v = 0, u = -1, And(0 < x,x < 1), y =
0, z = z], [regular_chain, [[0, 0], [-1, -1], [1/2, 1/2], [0, 0], [0, 0]]]], [
[6, 6, 6, 3, 1], [v = 0, u = 0, x = 1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[0, 0], [0, 0], [1, 1], [-3/2, -3/2], [-2, -2]]]], [[6, 6, 6,
3, 2], [v = 0, u = 0, x = 1, And(-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1, 1], [-3/2, -3/2], [-1482911/2097152, -\
741455/1048576]]]], [[6, 6, 6, 3, 3], [v = 0, u = 0, x = 1, And(-2 < y,y < -1)
, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [0, 0], [
1, 1], [-3/2, -3/2], [0, 0]]]], [[6, 6, 6, 3, 4], [v = 0, u = 0, x = 1, And(-2
< y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1, 1], [-3/2
, -3/2], [741455/1048576, 46341/65536]]]], [[6, 6, 6, 3, 5], [v = 0, u = 0, x
= 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [
1, 1], [-3/2, -3/2], [2, 2]]]], [[7, 1, 3, 3, 1], [And(0 < v,v < 1), u < -(v^2
+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y
)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/
16], [-4, -4]]]], [[7, 1, 3, 3, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And
(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/16], [-11/4
, -11/4]]]], [[7, 1, 3, 3, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2
+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-35/16, -\
35/16], [0, 0]]]], [[7, 1, 3, 3, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/16], [11/4,
11/4]]]], [[7, 1, 3, 3, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^
2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [-35/16, -35/16], [4, 4]
]]], [[7, 2, 9, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, y = -x-3,
z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-5, -5], [-\
3, -3]]]], [[7, 2, 9, 2, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, y =
-x-3, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-5, -\
5], [-1816187/1048576, -3632373/2097152]]]], [[7, 2, 9, 2, 3], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[7, 2, 9, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 1 < x, y
= -x-3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [2, 2], [-5,
-5], [908093/524288, 1816187/1048576]]]], [[7, 2, 9, 2, 5], [And(0 < v,v < 1),
u = -(v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [2, 2], [-5, -5], [3, 3]]]], [[7, 6, 7, 7, 1], [And(0 < v,v <
1), u = -v, 1 < x, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [-1/2, -1/2], [
2, 2], [1, 1], [0, 0]]]], [[7, 9, 1, 4, 1], [And(0 < v,v < 1), And(v < u,u < (
v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
836497/524288, 1672995/1048576], [-3, -3]]]], [[7, 9, 1, 4, 2], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152]
, [-3, -3], [836497/524288, 1672995/1048576], [-19417/16384, -1242687/1048576]
]]], [[7, 9, 1, 4, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u
^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))]
, [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3], [
836497/524288, 1672995/1048576], [0, 0]]]], [[7, 9, 1, 4, 4], [And(0 < v,v < 1
), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152],
[-3, -3], [836497/524288, 1672995/1048576], [1242687/1048576, 19417/16384]]]],
[[7, 9, 1, 4, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^
2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-3, -3], [836497/524288, 1672995/1048576],
[3, 3]]]], [[7, 11, 8, 5, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576],
[-243021/1048576, -243021/1048576], [0, 0]]]], [[7, 13, 5, 8, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [33/4, 33/4], [0, 0]]]], [[8
, 3, 10, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y < -u^2-1, z <
-(-y-1)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304],
[1, 1], [-5, -5], [-3, -3]]]], [[8, 3, 10, 1, 2], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), x = 1, y < -u^2-1, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-5, -5], [-2, -2]]]], [[8, 3, 10,
1, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, y < -u^2-1, And(-(-y-1)^
(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-5, -5], [0, 0]]]], [[8, 3, 10, 1, 4], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1], [-5, -5]
, [2, 2]]]], [[8, 3, 10, 1, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1,
y < -u^2-1, (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-5, -5], [3, 3]]]], [[8, 5, 9, 4, 1], [v = 1, And(-
2^(1/2) < u,u < -1), And(0 < x,x < 1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
546777/524288, -1093553/1048576], [-2, -2]]]], [[8, 5, 9, 4, 2], [v = 1, And(-
2^(1/2) < u,u < -1), And(0 < x,x < 1), y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
546777/524288, -1093553/1048576], [-772605/1048576, -1545209/2097152]]]], [[8,
5, 9, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = u^2-x-2,
And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-546777/524288, -1093553/
1048576], [-1/4194304, -1/4194304]]]], [[8, 5, 9, 4, 4], [v = 1, And(-2^(1/2)
< u,u < -1), And(0 < x,x < 1), y = u^2-x-2, z = (-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
546777/524288, -1093553/1048576], [193151/262144, 772605/1048576]]]], [[8, 5,
9, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), y = u^2-x-2, (-u
^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [1/2, 1/2], [-546777/524288, -1093553/1048576], [2, 2]]]], [[8, 11, 10, 4,
1], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = u^2-3, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-3235683/
2097152, -1617841/1048576], [-2, -2]]]], [[8, 11, 10, 4, 2], [v = 1, And(1 < u
,u < 2^(1/2)), x = 1, y = u^2-3, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1]
, [1265743/1048576, 1265743/1048576], [1, 1], [-3235683/2097152, -1617841/
1048576], [-772605/1048576, -1545209/2097152]]]], [[8, 11, 10, 4, 3], [v = 1,
And(1 < u,u < 2^(1/2)), x = 1, y = u^2-3, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)
^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1],
[-3235683/2097152, -1617841/1048576], [-1/4194304, -1/4194304]]]], [[8, 11, 10
, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = u^2-3, z = (-u^2+2)^(1/2)]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
3235683/2097152, -1617841/1048576], [193151/262144, 772605/1048576]]]], [[8, 
11, 10, 4, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = u^2-3, (-u^2+2)^(1/2
) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [
-3235683/2097152, -1617841/1048576], [2, 2]]]], [[8, 13, 9, 7, 1], [v = 1, And
(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(u^2-x-2 < y,y < 0), z = z
], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [-275385/2097152, -275385/2097152], [0, 0]]]], [[9,
2, 2, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -3, And(3 < y,y
< 4), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-3, -3], [7/2, 7/2], [0, 0]]]], [[9, 3, 11, 1, 1]
, [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x,
y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-6, -6], [-\
3, -3]]]], [[9, 3, 11, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-6, -6], [-2, -2]]]], [[9, 3, 11, 1, 3], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^
2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-6
, -6], [0, 0]]]], [[9, 3, 11, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-6, -6], [2, 2]]]], [[9, 3, 11, 1, 5], [And(1 < v,
v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-
x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [2, 2], [-6, -6], [3, 3]]]], [[9, 13, 3
, 2, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-245119/1048576, -122559/524288], [-3, -3
]]]], [[9, 13, 3, 2, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2))
, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-245119/1048576, -122559/
524288], [-1270261/1048576, -317565/262144]]]], [[9, 13, 3, 2, 3], [And(1 < v,
v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u
^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
2587387/2097152, -2587387/2097152], [-245119/1048576, -122559/524288], [0, 0]]
]], [[9, 13, 3, 2, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [-245119/1048576, -122559/
524288], [317565/262144, 1270261/1048576]]]], [[9, 13, 3, 2, 5], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/
2097152], [-245119/1048576, -122559/524288], [3, 3]]]], [[9, 15, 2, 3, 1], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2
-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/
524288, -2599117/1048576], [2599117/2097152, 2599117/2097152], [-3, -3]]]], [[
9, 15, 2, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1
/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [2599117/2097152, 2599117/
2097152], [-583671/524288, -1167341/1048576]]]], [[9, 15, 2, 3, 3], [And(1 < v
,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [2599117/2097152, 2599117/
2097152], [0, 0]]]], [[9, 15, 2, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^
2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576], [2599117/
2097152, 2599117/2097152], [1167341/1048576, 583671/524288]]]], [[9, 15, 2, 3,
5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^
2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-1299559/
524288, -2599117/1048576], [2599117/2097152, 2599117/2097152], [3, 3]]]], [[10
, 1, 6, 3, 1], [v = 2^(1/2), u < -2, x = 0, And(-u^2+1 < y,y < 0), z < -(-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-\
4, -4], [-3, -3]]]], [[10, 1, 6, 3, 2], [v = 2^(1/2), u < -2, x = 0, And(-u^2+
1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [0, 0], [-4, -4], [-2, -2]]]], [[10, 1, 6, 3, 3], [v = 2^(
1/2), u < -2, x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-4,
-4], [0, 0]]]], [[10, 1, 6, 3, 4], [v = 2^(1/2), u < -2, x = 0, And(-u^2+1 < y
,y < 0), z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-3, -3], [0, 0], [-4, -4], [2, 2]]]], [[10, 1, 6, 3, 5], [v = 2^(1/2), u < -2,
x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [0, 0], [-4, -4], [3, 3]]]], [[10, 3, 3, 8, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), y = u^2-x-3, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [291383/131072, 
2331065/1048576], [0, 0]]]], [[10, 9, 3, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0
), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [-7/16, -7/16], [-3, -3]]]], [[10, 9, 3, 3, 2], [v = 2^(1/2), And(-1 < u,u <
0), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [-7/16, -7/16], [-24915/16384, -3189119/2097152]]]], [[10, 9, 3, 3, 3], [v =
2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [-7/16, -7/16], [-1/4194304, -\
1/4194304]]]], [[10, 9, 3, 3, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 <
x,x < -1), And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [-7/16, -7/16], [
1594559/1048576, 24915/16384]]]], [[10, 9, 3, 3, 5], [v = 2^(1/2), And(-1 < u,
u < 0), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [-7/16, -7/16], [3, 3]]]], [[10, 10, 9, 6, 1], [v = 2^(1/2), u = 0, 1 < x, y
= 1-x, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [2,
2], [-1, -1], [0, 0]]]], [[10, 15, 1, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/
2)), x < -u^2+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [0, 0], [-3, -\
3]]]], [[10, 15, 1, 2, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y
= 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 15, 1, 2, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3],
[0, 0], [-1/4194304, -1/4194304]]]], [[10, 15, 1, 2, 4], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x < -u^2+1, y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [0, 0]
, [908093/524288, 1816187/1048576]]]], [[10, 15, 1, 2, 5], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x < -u^2+1, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [0, 0
], [3, 3]]]], [[10, 16, 9, 3, 1], [v = 2^(1/2), u = 3^(1/2), 1 < x, And(-x-2 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[
10, 16, 9, 3, 2], [v = 2^(1/2), u = 3^(1/2), 1 < x, And(-x-2 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [2, 2], [-3, -3], [-1, -1]]]], [[10, 16, 9, 3, 3], [
v = 2^(1/2), u = 3^(1/2), 1 < x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [2, 2], [-3, -3], [0, 0]]]], [[10, 16, 9, 3, 4], [v
= 2^(1/2), u = 3^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [2, 2], [-3, -3], [1, 1]]]], [[10, 16, 9, 3, 5], [v = 2^(1/2), u = 3
^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [-3
, -3], [2, 2]]]], [[10, 19, 5, 4, 1], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3
, 3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 19, 5, 4, 2], [v = 2^(1/2), 2 <
u, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[10, 19, 5, 4, 3], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[10, 19, 5, 4, 4],
[v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[10, 19, 5, 4, 5], [v = 2^(1/2), 2 < u, And(-1 < x,
x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 1, 11, 7, 1], [2^(1/2
) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z],
[regular_chain, [[3, 3], [-5, -5], [16, 16], [-1/2, -1/2], [0, 0]]]], [[11, 5,
8, 5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 <
y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [0, 0], [-1062385/4194304, -1062385/4194304], [-2, -2]]]], [[11, 5, 8
, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 <
y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [0, 0], [-1062385/4194304, -1062385/4194304], [-527729/1048576, -\
1055457/2097152]]]], [[11, 5, 8, 5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0, 0], [-1062385/
4194304, -1062385/4194304], [-1/4194304, -1/4194304]]]], [[11, 5, 8, 5, 4], [2
^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), z
= (-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [0,
0], [-1062385/4194304, -1062385/4194304], [32983/65536, 527729/1048576]]]], [[
11, 5, 8, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-
v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [0, 0], [-1062385/4194304, -1062385/4194304], [2, 2]]]], [[11,
7, 9, 6, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y
= -x, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 7, 9, 6, 2], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]
], [[11, 7, 9, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,
x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 13, 3, 7, 1], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(-x
< y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [526475/262144, 526475/
262144], [0, 0]]]], [[11, 15, 3, 1, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [-2, -2], [-3, -3]]]], [[11, 15, 3, 1, 2], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
657289/524288, -657289/524288], [-2, -2], [-1891417/1048576, -7565667/4194304]
]]], [[11, 15, 3, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v
^2-1 < x,x < -1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -\
657289/524288], [-2, -2], [-3/8388608, -3/8388608]]]], [[11, 15, 3, 1, 4], [2^
(1/2) < v, And((v^2-1)^(1/2) < u,u < v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^
2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [-2, -2], [236427/131072, 1891417/
1048576]]]], [[11, 15, 3, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 
And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288],
[-2, -2], [3, 3]]]], [[11, 19, 3, 4, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -\
915943/524288], [0, 0], [-3, -3]]]], [[11, 19, 3, 4, 2], [2^(1/2) < v, And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x
)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-\
915943/524288, -915943/524288], [0, 0], [-346489/262144, -1385955/1048576]]]],
[[11, 19, 3, 4, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/524288, -\
915943/524288], [0, 0], [0, 0]]]], [[11, 19, 3, 4, 4], [2^(1/2) < v, And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(
1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-915943/
524288, -915943/524288], [0, 0], [1385955/1048576, 346489/262144]]]], [[11, 19
, 3, 4, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-915943/524288, -915943/524288], [0, 0], [3, 3]]]]
, [[11, 20, 9, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, And(1-x < y,y <
0), z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2]
, [-1/2, -1/2], [0, 0]]]], [[1, 2, 1, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2)
, x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-4, -4], [9/2, 9/2], [0, 0]]]], [[1, 3, 10, 3, 1],
[v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2
-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [1, 1], [-1178087/524288, -1178087/524288], [-3, -\
3]]]], [[1, 3, 10, 3, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1], [-1178087/524288, -\
1178087/524288], [-1170947/1048576, -585473/524288]]]], [[1, 3, 10, 3, 3], [v
< -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -\
3], [-3396811/1048576, -3396811/1048576], [1, 1], [-1178087/524288, -1178087/
524288], [0, 0]]]], [[1, 3, 10, 3, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
1178087/524288, -1178087/524288], [585473/524288, 1170947/1048576]]]], [[1, 3,
10, 3, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, 
And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [-1178087/524288, -1178087/524288]
, [3, 3]]]], [[1, 8, 1, 6, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y =
-x, z < 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-3, -3], [3, 3], [-1, -1]]]], [[1, 8, 1, 6, 2], [v < -2^(1/2), u = -(v^2-1)^(
1/2), x < -2, y = -x, z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [3, 3], [0, 0]]]], [[1, 8, 1, 6, 3], [v < -2^(1/2
), u = -(v^2-1)^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [3, 3], [1, 1]]]], [[1, 9, 11,
9, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, 0 < y
, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
2, 2], [1, 1], [0, 0]]]], [[1, 15, 4, 1, 1], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), x = -1, y < u^2-v^2, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[1, 15
, 4, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2,
z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[1, 15
, 4, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2,
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[
1, 15, 4, 1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < u^2
-v^2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[1, 15, 4,
1, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y < u^2-v^2, (1-y
)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [
-1, -1], [-2, -2], [3, 3]]]], [[1, 17, 4, 9, 1], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x = -1, 1 < y, z = z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1, -1], [2, 2], [0, 0]]]], [[1, 21, 3, 9, 1], [v < -
2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z
], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [25, 25], [0, 0]]]], [[2, 1, 
10, 1, 1], [v = -2^(1/2), u < -2, x = u^2-3, y < -2*u^2+4, z < -(-u^2-y+3)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [-\
15, -15], [-4, -4]]]], [[2, 1, 10, 1, 2], [v = -2^(1/2), u < -2, x = u^2-3, y
< -2*u^2+4, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [6, 6], [-15, -15], [-3, -3]]]], [[2, 1, 10, 1, 3],
[v = -2^(1/2), u < -2, x = u^2-3, y < -2*u^2+4, And(-(-u^2-y+3)^(1/2) < z,z <
(-u^2-y+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [6, 6], [-15, -15], [0, 0]]]], [[2, 1, 10, 1, 4], [v = -2^(1/2), u < -2,
x = u^2-3, y < -2*u^2+4, z = (-u^2-y+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [6, 6], [-15, -15], [3, 3]]]], [[2, 1, 10,
1, 5], [v = -2^(1/2), u < -2, x = u^2-3, y < -2*u^2+4, (-u^2-y+3)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [6, 6], [-15, -\
15], [4, 4]]]], [[2, 10, 2, 7, 1], [v = -2^(1/2), u = 0, x = -3, 4 < y, z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-3, -3], [5, 5
], [0, 0]]]], [[2, 11, 11, 3, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(
u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [2, 2], [-27/8, -27/8], [-3, -3]]]], [[2, 11, 11,
3, 2], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(u^2-x-3 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[2, 2], [-27/8, -27/8], [-1229565/1048576, -307391/262144]]]], [[2, 11, 11, 3,
3], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(u^2-x-3 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [2, 2], [-27/8, -27/8], [0, 0]]]], [[2, 11, 11, 3, 4], [v
= -2^(1/2), And(0 < u,u < 1), 1 < x, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-\
27/8, -27/8], [307391/262144, 1229565/1048576]]]], [[2, 11, 11, 3, 5], [v = -2
^(1/2), And(0 < u,u < 1), 1 < x, And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-27/8
, -27/8], [3, 3]]]], [[2, 16, 3, 3, 1], [v = -2^(1/2), u = 3^(1/2), And(-2 < x
,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/
4, -1/4], [-3, -3]]]], [[2, 16, 3, 3, 2], [v = -2^(1/2), u = 3^(1/2), And(-2 <
x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-1
/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[2, 16, 3, 3, 3], [v = -2^(1/2
), u = 3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[2, 
16, 3, 3, 4], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576,
10837/8192]]]], [[2, 16, 3, 3, 5], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x <
-1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/
4, -1/4], [3, 3]]]], [[2, 18, 1, 9, 1], [v = -2^(1/2), u = 2, x < -3, 1-x < y,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4],
[6, 6], [0, 0]]]], [[3, 4, 1, 1, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(
1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1, -1], [-3,
-3]]]], [[3, 4, 1, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -\
2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1, -1], [-2, -2]]]],
[[3, 4, 1, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y < 0
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1, -1], [
0, 0]]]], [[3, 4, 1, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x <
-2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1, -1], [2, 2]]]], [
[3, 4, 1, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y < 0,
(-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[3, 5, 11, 4
, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2
-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5310983/
2097152, -2655491/1048576], [-2, -2]]]], [[3, 5, 11, 4, 2], [And(-2^(1/2) < v,
v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [-5310983/2097152, -2655491/1048576], [-\
1530309/2097152, -382577/524288]]]], [[3, 5, 11, 4, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5310983/
2097152, -2655491/1048576], [0, 0]]]], [[3, 5, 11, 4, 4], [And(-2^(1/2) < v,v
< -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [2, 2], [-5310983/2097152, -2655491/1048576], [
382577/524288, 765155/1048576]]]], [[3, 5, 11, 4, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [2, 2], [-5310983/2097152, -2655491/1048576], [2, 2]]]], [[
3, 10, 3, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x <
-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [0, 0], [-3, -3]]]],
[[3, 10, 3, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x
< -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [0, 0], [-1284239/
1048576, -642119/524288]]]], [[3, 10, 3, 4, 3], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[3, 10, 3, 4, 4], [And(-2^(
1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[
3, 10, 3, 4, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x <
-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[
3, 12, 2, 3, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, And(0 < y,y < 1),
z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[3, 12,
2, 3, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, And(0 < y,y < 1), z = -(1
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[3, 12, 2, 3, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, And
(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -\
1], [1/2, 1/2], [0, 0]]]], [[3, 12, 2, 3, 4], [And(-2^(1/2) < v,v < -1), u = -
v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1/2
, 1/2], [741455/1048576, 46341/65536]]]], [[3, 12, 2, 3, 5], [And(-2^(1/2) < v
,v < -1), u = -v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1
, -1], [1/2, 1/2], [2, 2]]]], [[3, 15, 2, 6, 1], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-1299559/524288, -2599117/1048576], [1550541/524288, 3101083/
1048576], [0, 0]]]], [[3, 16, 9, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-5, -5], [-3, -3]]
]], [[3, 16, 9, 2, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, y
= -x-3, z = -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373
/2097152]]]], [[3, 16, 9, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-5, -5],
[-1/4194304, -1/4194304]]]], [[3, 16, 9, 2, 4], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-5, -5],
[908093/524288, 1816187/1048576]]]], [[3, 16, 9, 2, 5], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [
-5, -5], [3, 3]]]], [[4, 3, 5, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
And(-1 < x,x < 0), And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1],
[-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [773191/1048576, 773191/
1048576], [0, 0]]]], [[4, 5, 5, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(
-1 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-\
2, -2], [-3, -3]]]], [[4, 5, 5, 1, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(
-1 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-\
2, -2], [-3491269/2097152, -872817/524288]]]], [[4, 5, 5, 1, 3], [v = -1, And(
-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y < -u^2-x, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-2, -2], [0, 0]]]], [[4, 5, 5
, 1, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y < -u^2-x,
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3235683/4194304, -3235683/4194304], [-2, -2], [872817/524288, 
1745635/1048576]]]], [[4, 5, 5, 1, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(
-1 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304], [-2
, -2], [3, 3]]]], [[4, 11, 4, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -1,
And(0 < y,y < u^2-1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [-2, -2
]]]], [[4, 11, 4, 5, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y
< u^2-1), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [-460493/524288,
-7367887/8388608]]]], [[4, 11, 4, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), x =
-1, And(0 < y,y < u^2-1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [
239655/1048576, 239655/1048576], [-7/16777216, -7/16777216]]]], [[4, 11, 4, 5,
4], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), z = (1-y)^(
1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1]
, [239655/1048576, 239655/1048576], [920985/1048576, 460493/524288]]]], [[4, 
11, 4, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(0 < y,y < u^2-1), (
1-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [-1, -1], [239655/1048576, 239655/1048576], [2, 2]]]], [[4, 13, 3, 8, 1], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = u^2-x-2, z = z],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [579893/262144, 2319573/1048576], [0, 0]]]], [[5,
1, 9, 4, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1),
y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [-35/8,
-35/8], [-1, -1]]]], [[5, 1, 9, 4, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
And(1 < x,x < u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-3,
-3], [35/8, 35/8], [-35/8, -35/8], [0, 0]]]], [[5, 1, 9, 4, 3], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [-35/8, -35/8], [1, 1]]]
], [[5, 3, 6, 7, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), x = 0, u^2-v^2-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [0, 0], [2, 2], [0, 0]]]], [[5, 12, 3, 4, 1], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [0, 0], [-3, -3]]]], [[5,
12, 3, 4, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0
, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [0, 0
], [-1482911/1048576, -741455/524288]]]], [[5, 12, 3, 4, 3], [And(-1 < v,v < 0
), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [0, 0], [0, 0]]]
], [[5, 12, 3, 4, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1
), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2]
, [0, 0], [741455/524288, 1482911/1048576]]]], [[5, 12, 3, 4, 5], [And(-1 < v,
v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [0, 0], [3, 3]]]], [[5, 13
, 11, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(u^2-v^2
-x-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-5/8,
-5/8], [0, 0]]]], [[6, 4, 8, 1, 1], [v = 0, u = -1, x = 1, y < -3, z < -(-y-1)
^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -4], [-3, -3]]]], [[6
, 4, 8, 1, 2], [v = 0, u = -1, x = 1, y < -3, z = -(-y-1)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[6, 4, 8, 1, 3], [v = 0, u = -1, x = 1, y < -3, And(-(-y
-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [1, 1], [
-4, -4], [-1/4194304, -1/4194304]]]], [[6, 4, 8, 1, 4], [v = 0, u = -1, x = 1,
y < -3, z = (-y-1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -4]
, [908093/524288, 1816187/1048576]]]], [[6, 4, 8, 1, 5], [v = 0, u = -1, x = 1
, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-4, -\
4], [3, 3]]]], [[6, 6, 7, 2, 1], [v = 0, u = 0, 1 < x, y = -1-x, z < -1], [
regular_chain, [[0, 0], [0, 0], [2, 2], [-3, -3], [-2, -2]]]], [[6, 6, 7, 2, 2
], [v = 0, u = 0, 1 < x, y = -1-x, z = -1], [regular_chain, [[0, 0], [0, 0], [
2, 2], [-3, -3], [-1, -1]]]], [[6, 6, 7, 2, 3], [v = 0, u = 0, 1 < x, y = -1-x
, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0], [2, 2], [-3, -3], [0, 0
]]]], [[6, 6, 7, 2, 4], [v = 0, u = 0, 1 < x, y = -1-x, z = 1], [regular_chain
, [[0, 0], [0, 0], [2, 2], [-3, -3], [1, 1]]]], [[6, 6, 7, 2, 5], [v = 0, u =
0, 1 < x, y = -1-x, 1 < z], [regular_chain, [[0, 0], [0, 0], [2, 2], [-3, -3],
[2, 2]]]], [[7, 1, 1, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v
^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [-3, -3], [-11, -11], [49/8, 49/8], [-4, -4]]]], [[7, 1, 1, 5, 2], [And(
0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [49/8
, 49/8], [-1157597/524288, -2315193/1048576]]]], [[7, 1, 1, 5, 3], [And(0 < v,
v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [
-11, -11], [49/8, 49/8], [0, 0]]]], [[7, 1, 1, 5, 4], [And(0 < v,v < 1), u < -
(v^2+2)^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [49/8, 49/8], [2315193/
1048576, 1157597/524288]]]], [[7, 1, 1, 5, 5], [And(0 < v,v < 1), u < -(v^2+2)
^(1/2), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [49/8, 49/8], [4, 4]]]], [[7
, 2, 7, 8, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = 1-
x, z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [1/2, 1/2],
[0, 0]]]], [[7, 7, 1, 2, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2
-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [0
, 0], [-3, -3]]]], [[7, 7, 1, 2, 2], [And(0 < v,v < 1), And(-v < u,u < v), x <
u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3,
-3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[7, 7, 1, 2, 3], [And(0
< v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (
-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[7, 7, 1, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v
), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0],
[-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[7, 7, 1, 2, 5], [And(
0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [0, 0], [3, 3]]]], [[7, 9, 2, 1,
1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z
< -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -1], [-3, -3]]]], [
[7, 9, 2, 1, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2
-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/
2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -1], [-\
406493/262144, -3251943/2097152]]]], [[7, 9, 2, 1, 3], [And(0 < v,v < 1), And(
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,
z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 
1696631/2097152], [-736367/524288, -1472733/1048576], [-1, -1], [-1/4194304, -\
1/4194304]]]], [[7, 9, 2, 1, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2
)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [-\
1, -1], [1625971/1048576, 406493/262144]]]], [[7, 9, 2, 1, 5], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [-1, -1], [3, 3]]]], [[7, 11, 8, 3, 1], [And(0 < v,
v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*
v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-\
28442235/16777216, -28442235/16777216], [-3, -3]]]], [[7, 11, 8, 3, 2], [And(0
< v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^
2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-\
28442235/16777216, -28442235/16777216], [-1163761/1048576, -72735/65536]]]], [
[7, 11, 8, 3, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2)
< z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [243021/524288, 486043/1048576], [-28442235/16777216, -\
28442235/16777216], [0, 0]]]], [[7, 11, 8, 3, 4], [And(0 < v,v < 1), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+
v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [243021/524288, 486043/1048576], [-28442235/16777216, -\
28442235/16777216], [72735/65536, 1163761/1048576]]]], [[7, 11, 8, 3, 5], [And
(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, And(-2
*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1
/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-\
28442235/16777216, -28442235/16777216], [3, 3]]]], [[7, 13, 5, 2, 1], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-37/4, -37/4]
, [-5, -5]]]], [[7, 13, 5, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [3, 3], [-1/2, -1/2], [-37/4, -37/4], [-1637089/524288, -3274177/1048576
]]]], [[7, 13, 5, 2, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x <
0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-37/4, -37/4], [0, 0]]]], [
[7, 13, 5, 2, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y =
-u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1
/2, -1/2], [-37/4, -37/4], [3274177/1048576, 1637089/524288]]]], [[7, 13, 5, 2
, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2],
[-37/4, -37/4], [5, 5]]]], [[8, 3, 11, 6, 1], [v = 1, And(-3^(1/2) < u,u < -2^
(1/2)), 1 < x, y = u^2-x-2, z = z], [regular_chain, [[1, 1], [-6598195/4194304
, -6598195/4194304], [2, 2], [-799673/524288, -3198691/2097152], [0, 0]]]], [[
8, 5, 10, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,y < -1
), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [1, 1], [-2666417/2097152, -2666417/2097152], [-2, -2]]]], [[8, 5, 
10, 5, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,y < -1), z =
-(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[1, 1], [-2666417/2097152, -2666417/2097152], [-273157/524288, -1092627/
2097152]]]], [[8, 5, 10, 5, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(u
^2-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[
1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-2666417/2097152, -\
2666417/2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 10, 5, 4], [v = 1, And(
-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
2666417/2097152, -2666417/2097152], [546313/1048576, 273157/524288]]]], [[8, 5
, 10, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(u^2-3 < y,y < -1), (
-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [1, 1], [-2666417/2097152, -2666417/2097152], [2, 2]]]], [[8, 11, 10, 2, 1]
, [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = -u^2-1, z < -u], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-2576463/1048576, -\
1288231/524288], [-3, -3]]]], [[8, 11, 10, 2, 2], [v = 1, And(1 < u,u < 2^(1/2
)), x = 1, y = -u^2-1, z = -u], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [1, 1], [-2576463/1048576, -1288231/524288], [-1265743/
1048576, -1265743/1048576]]]], [[8, 11, 10, 2, 3], [v = 1, And(1 < u,u < 2^(1/
2)), x = 1, y = -u^2-1, And(-u < z,z < u)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [1, 1], [-2576463/1048576, -1288231/524288], [0, 0]
]]], [[8, 11, 10, 2, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = -u^2-1, z
= u], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
2576463/1048576, -1288231/524288], [1265743/1048576, 1265743/1048576]]]], [[8,
11, 10, 2, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y = -u^2-1, u < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-2576463/
1048576, -1288231/524288], [3, 3]]]], [[8, 13, 9, 1, 1], [v = 1, And(2^(1/2) <
u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 
773191/1048576], [-5, -5], [-4, -4]]]], [[8, 13, 9, 1, 2], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 
773191/1048576], [-5, -5], [-270613/131072, -2164903/1048576]]]], [[8, 13, 9,
1, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y < -u^2-x,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-5, -5], [0, 0]]
]], [[8, 13, 9, 1, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x <
1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [773191/1048576, 773191/1048576], [-5, -5], [2164903/1048576
, 270613/131072]]]], [[8, 13, 9, 1, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(u^2-2 < x,x < 1), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-5, -5]
, [4, 4]]]], [[9, 2, 4, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x
= -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-1, -1], [-\
3, -3]]]], [[9, 2, 4, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x =
-1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[9, 2, 4, 3, 3], [And(1 < v,v < 2^(1/2))
, u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [-1, -1], [0, 0]]]], [[9, 2, 4, 3, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = (1-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[9, 2, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x
= -1, And(-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-1, -1], [3
, 3]]]], [[9, 4, 1, 2, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-410915/262144, -3287319/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[9, 4, 1
, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y = 0, z = -(-x)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144,
-3287319/2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]],
[[9, 4, 1, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[9, 4, 1, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+
1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[9, 4, 1, 2, 5], [And(1 < v,v < 2^(1/2)),
u = -(v^2+1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [0, 0
], [3, 3]]]], [[9, 13, 1, 8, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1
)^(1/2)), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [3, 3], [-1, -\
1]]]], [[9, 13, 1, 8, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)
), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [3, 3], [0, 0]]]], [[9
, 13, 1, 8, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^
2+v^2-1, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-3, -3], [3, 3], [1, 1]]]], [[9, 14, 9, 5
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, And(-x < y,y < 0), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-1, -1], [0, 0]]]], [[10, 1, 7, 2, 1], [v = 2^(1/2),
u < -2, And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-17/2, -17/2], [-4, -\
4]]]], [[10, 1, 7, 2, 2], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y = -u^2-x+1
, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [1/2, 1/2], [-17/2, -17/2], [-2965821/1048576, -11863283/4194304]]]], [[
10, 1, 7, 2, 3], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y = -u^2-x+1, And(-(u
^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [1/2, 1/2], [-17/2, -17/2], [-3/8388608, -3/8388608]]]], [
[10, 1, 7, 2, 4], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y = -u^2-x+1, z = (u
^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/
2, 1/2], [-17/2, -17/2], [741455/262144, 2965821/1048576]]]], [[10, 1, 7, 2, 5
], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-17/2
, -17/2], [4, 4]]]], [[10, 3, 4, 1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, x = -1, y < -u^2+2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [-3, -3], [-\
3, -3]]]], [[10, 3, 4, 1, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1,
y < -u^2+2, z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [-3, -3], [-2, -2]]]
], [[10, 3, 4, 1, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y < -u^2
+2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [-3, -3], [0
, 0]]]], [[10, 3, 4, 1, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y
< -u^2+2, z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-3913339/2097152, -3913339/2097152], [-1, -1], [-3, -3], [2, 2]]]], [[10, 3,
4, 1, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y < -u^2+2, (1-y)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152
, -3913339/2097152], [-1, -1], [-3, -3], [3, 3]]]], [[10, 9, 1, 9, 1], [v = 2^
(1/2), And(-1 < u,u < 0), x < u^2-3, -u^2-x+1 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-4, -4], [6, 6], [0, 0]]]], [[
10, 10, 7, 8, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y = 1-x, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [1/2, 1/
2], [0, 0]]]], [[10, 15, 1, 8, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -
u^2+1, y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-3, -3], [3, 3], [-1, -1]]]], [[10, 15, 1,
8, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [3, 3], [0, 0]]]], [[10, 15, 1, 8, 3], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x < -u^2+1, y = -x, 0 < z], [regular_chain, [[741455/524288,
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [3, 3], [1, 1]
]]], [[10, 16, 9, 5, 1], [v = 2^(1/2), u = 3^(1/2), 1 < x, And(-x < y,y < 0),
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [2, 2], [-1, -1], [0, 0]]]], [[10, 19, 5, 2, 1], [v = 2^(1/2
), 2 < u, And(-1 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [-15/2, -15/2], [-4
, -4]]]], [[10, 19, 5, 2, 2], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = -u^2
-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-1/2, -1/2], [-15/2, -15/2], [-2965821/1048576, -11863283/4194304]]]]
, [[10, 19, 5, 2, 3], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = -u^2-x+1, 
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1/2, -1/2], [-15/2, -15/2], [-3/8388608, -3/
8388608]]]], [[10, 19, 5, 2, 4], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = -
u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3, 3], [-1/2, -1/2], [-15/2, -15/2], [741455/262144, 2965821/1048576]]]], [
[10, 19, 5, 2, 5], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y = -u^2-x+1, (u^2-\
1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1/
2, -1/2], [-15/2, -15/2], [4, 4]]]], [[11, 1, 11, 1, 1], [2^(1/2) < v, u < -(v
^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [16, 16], [-34, -34], [-6, -6]]]], [[11, 1,
11, 1, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1,
z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-34, -34], [
-1112183/262144, -4448731/1048576]]]], [[11, 1, 11, 1, 3], [2^(1/2) < v, u < -
(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-34, -34], [0, 0]]]]
, [[11, 1, 11, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^
2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-\
34, -34], [4448731/1048576, 1112183/262144]]]], [[11, 1, 11, 1, 5], [2^(1/2) <
v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [16, 16], [-34, -34], [6, 6]]]], [[11, 5, 10
, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 <
y,y < u^2-v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [1, 1], [-2, -2], [-2, -2]]]], [[11, 5, 10, 3, 2], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2),
z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072],
[1, 1], [-2, -2], [-1, -1]]]], [[11, 5, 10, 3, 3], [2^(1/2) < v, And(-(v^2+1)^
(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [1, 1], [-2, -2], [0, 0]]]], [[11, 5, 10, 3, 4], [2^(1/2) < v, And(-(
v^2+1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z = (-y-1)
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-\
2, -2], [1, 1]]]], [[11, 5, 10, 3, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-2, -2], [2
, 2]]]], [[11, 7, 10, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x =
1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 13, 3, 5, 1], [2^(1/2
) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-919691/524288, -919691/524288], [919691/1048576, 
919691/1048576], [-2, -2]]]], [[11, 13, 3, 5, 2], [2^(1/2) < v, And((v^2-2)^(1
/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
919691/524288, -919691/524288], [919691/1048576, 919691/1048576], [-7856171/
8388608, -3928085/4194304]]]], [[11, 13, 3, 5, 3], [2^(1/2) < v, And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-919691/524288, -919691/524288], [919691/1048576, 
919691/1048576], [-1/8388608, -1/8388608]]]], [[11, 13, 3, 5, 4], [2^(1/2) < v
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [919691/1048576, 919691/
1048576], [982021/1048576, 491011/524288]]]], [[11, 13, 3, 5, 5], [2^(1/2) < v
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [919691/1048576, 919691/
1048576], [2, 2]]]], [[11, 15, 2, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0]
, [-3, -3]]]], [[11, 15, 2, 2, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0],
[-1287385/1048576, -160923/131072]]]], [[11, 15, 2, 2, 3], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z <
(-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [0, 0], [0, 0]]]], [[11, 15, 2,
2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = 0, z = (
-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152
], [-3161161/2097152, -395145/262144], [0, 0], [160923/131072, 1287385/1048576
]]]], [[11, 15, 2, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-
v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0], [3, 3]]
]], [[11, 19, 4, 9, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, x = -1, u^2-v^2 < y, z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1, -1], [3, 3], [0, 0]]]], [[11, 21, 1, 8, 1], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain,
[[3, 3], [5, 5], [-18, -18], [33, 33], [0, 0]]]], [[1, 4, 9, 7, 1], [v < -2^(1
/2), u = -(v^2+1)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [-\
3315889/1048576, -207243/65536], [2, 2], [1, 1], [0, 0]]]], [[1, 7, 1, 8, 1],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [3,
3], [-1, -1]]]], [[1, 7, 1, 8, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)
), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-3, -3], [3, 3], [0, 0]]]], [[1, 7, 1, 8, 3], [v < -2^(1
/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, 0 < z], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [3,
3], [1, 1]]]], [[1, 10, 9, 8, 1], [v < -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, y
= 0, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576],
[2, 2], [0, 0], [0, 0]]]], [[1, 12, 7, 2, 1], [v < -2^(1/2), u = (v^2-2)^(1/2)
, And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[1, 12,
7, 2, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, z = -3
^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2],
[-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [[1, 12, 7, 2, 3], [v <
-2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z <
3^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2
], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[1, 12, 7, 2, 4], [v < -2^(1/2)
, u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-7/2, -7/2], [908093/
524288, 1816187/1048576]]]], [[1, 12, 7, 2, 5], [v < -2^(1/2), u = (v^2-2)^(1/
2), And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[1, 18, 3,
3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y <
0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [-1/4, -1/4], [-3, -3]]]], [[1, 18, 3, 3, 2], [v < -2^
(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3
/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[1, 18, 3, 3, 3], [v <
-2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[1, 18, 3, 3, 4], [v
< -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-
x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2
, -3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[1, 18, 3, 3, 5], [v
< -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)
^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2
, -3/2], [-1/4, -1/4], [3, 3]]]], [[1, 20, 1, 9, 1], [v < -2^(1/2), u = (v^2+2
)^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[-3, -3], [3477733/1048576,
1738867/524288], [-4, -4], [6, 6], [0, 0]]]], [[2, 2, 7, 9, 1], [v = -2^(1/2),
u = -2, And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [-2, -2], [1/2, 1/2], [2, 2], [0, 0]]]], [[2, 4, 6, 4, 1], [v
= -2^(1/2), u = -3^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [0, 0], [0, 0]
, [-1, -1]]]], [[2, 4, 6, 4, 2], [v = -2^(1/2), u = -3^(1/2), x = 0, y = 0, z
= 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [0, 0], [0, 0], [0, 0]]]], [[2, 4, 6, 4, 3], [v = -2^(1/2),
u = -3^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [0, 0], [0, 0], [1, 1]]]
], [[2, 7, 5, 7, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1),
And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [1/2, 1/2], [-2, -2]]]], [[2, 7, 5, 7, 2], [v = -2
^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2
, 1/2], [-31331/65536, -501295/1048576]]]], [[2, 7, 5, 7, 3], [v = -2^(1/2), 
And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [1/2, 1/2], [0, 0]]]], [[2, 7, 5, 7, 4], [v = -2^(1/2), And(v < u,u
< -1), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [501295/
1048576, 31331/65536]]]], [[2, 7, 5, 7, 5], [v = -2^(1/2), And(v < u,u < -1),
And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [2, 2]]]],
[[2, 9, 5, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y < u^2
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1/2, -1/2], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[2, 9, 5, 1, 2], [v = -2^(
1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y < u^2-x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[2, 9, 5, 1, 3], [v = -2^
(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y < u^2-x-3, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1
/2, -1/2], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[2, 9, 5, 1, 4], [v = -2^(1/2),
And(-1 < u,u < 0), And(-1 < x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-4, -4], [2224365/1048576, 1112183/524288]]]], [[2, 9, 5, 1, 5], [v = -2^(1
/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-4, -4], [4, 4]]]], [[2, 13, 4, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), x
= -1, y < u^2-2, z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [-3, -\
3]]]], [[2, 13, 4, 1, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y < u^2-2,
z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[2, 13, 4, 1, 3], [v = -2^(1/2), And(1 < u,u < -v), x =
-1, y < u^2-2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [-2, -2], [-1/4194304, -1/4194304]]]], [[2, 13, 4, 1, 4], [v = -2^(1/2), And
(1 < u,u < -v), x = -1, y < u^2-2, z = (1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [-2, -2], [908093/524288, 1816187/1048576]]]], [[2, 13, 4, 1, 5], [v = -2^(1
/2), And(1 < u,u < -v), x = -1, y < u^2-2, (1-y)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -\
1], [-2, -2], [3, 3]]]], [[2, 15, 4, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), x = -1, 1 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-1, -1], [2, 2], [0, 0]]]], [[3,
1, 5, 8, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0),
y = u^2-v^2-x-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3, -3], [-1/2, -1/2], [7385009/1048576, 3692505/524288], [0, 0]]]], [[3, 3
, 3, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/
2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [0, 0], [-3, -3]]]], [[3, 3, 3, 4, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2
+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/
2097152, -3647693/2097152], [0, 0], [-1382911/1048576, -691455/524288]]]], [[3
, 3, 3, 4, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-3647693/2097152, -3647693/2097152], [0, 0], [0, 0]]]], [
[3, 3, 3, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-3647693/2097152, -3647693/2097152], [0, 0], [691455/524288, 1382911/1048576]
]]], [[3, 3, 3, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [0, 0], [3, 3]]]], [[
3, 7, 5, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(
-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [1/2, 1/2], [-2, -2]]]
], [[3, 7, 5, 7, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [1/2, 1/2], [-485927/
1048576, -242963/524288]]]], [[3, 7, 5, 7, 3], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [1/2, 1/2], [0, 0]]]], [[3, 7, 5, 7, 4], [And(-2^(
1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), 
And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [1/2, 1/2], [242963/524288, 485927/1048576]]]], [[
3, 7, 5, 7, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(
-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [1/2, 1/2], [2, 2]]]],
[[3, 9, 5, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-\
3, -3], [-3, -3]]]], [[3, 9, 5, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)
^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2,
-1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[3, 9, 5, 1, 3], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x
< 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1/2], [-\
3, -3], [0, 0]]]], [[3, 9, 5, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(
1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1/2, -1
/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[3, 9, 5, 1, 5], [And(-2^
(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0
), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[3, 17, 8, 8, 1]
, [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, y = u^2-v^2-2, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [
5812145/1048576, 2906073/524288], [0, 0]]]], [[4, 2, 4, 2, 1], [v = -1, u = -3
^(1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[4, 2, 4, 2, 2],
[v = -1, u = -3^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[-1, -1
], [-1816187/1048576, -3632373/2097152], [-1, -1], [-2, -2], [-1816187/1048576
, -3632373/2097152]]]], [[4, 2, 4, 2, 3], [v = -1, u = -3^(1/2), x = -1, y = -\
2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [
[4, 2, 4, 2, 4], [v = -1, u = -3^(1/2), x = -1, y = -2, z = 3^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-2,
-2], [908093/524288, 1816187/1048576]]]], [[4, 2, 4, 2, 5], [v = -1, u = -3^(1
/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[4, 6, 3, 4, 1], [
v = -1, u = -1, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
-1, -1], [-1, -1], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4, 6, 3, 4, 2], [v = -\
1, u = -1, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -\
1], [-1, -1], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[
4, 6, 3, 4, 3], [v = -1, u = -1, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z
,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [0, 0],
[0, 0]]]], [[4, 6, 3, 4, 4], [v = -1, u = -1, And(-1 < x,x < 0), y = 0, z = (-
x)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[4, 6, 3, 4, 5], [v = -1, u = -1, And(-1 < x,x < 0)
, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [
0, 0], [2, 2]]]], [[4, 8, 4, 5, 1], [v = -1, u = 0, x = -1, And(0 < y,y < 1),
z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [1/2, 1/2], [-\
2, -2]]]], [[4, 8, 4, 5, 2], [v = -1, u = 0, x = -1, And(0 < y,y < 1), z = -(1
-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [1/2, 1/2], [-1482911
/2097152, -741455/1048576]]]], [[4, 8, 4, 5, 3], [v = -1, u = 0, x = -1, And(0
< y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1],
[0, 0], [-1, -1], [1/2, 1/2], [0, 0]]]], [[4, 8, 4, 5, 4], [v = -1, u = 0, x =
-1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1
, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[4, 8, 4, 5, 5], [v = -1
, u = 0, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1, -1]
, [0, 0], [-1, -1], [1/2, 1/2], [2, 2]]]], [[4, 14, 1, 5, 1], [v = -1, u = 3^(
1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[4,
14, 1, 5, 2], [v = -1, u = 3^(1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4],
[5/2, 5/2], [-1284239/1048576, -642119/524288]]]], [[4, 14, 1, 5, 3], [v = -1,
u = 3^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4],
[5/2, 5/2], [0, 0]]]], [[4, 14, 1, 5, 4], [v = -1, u = 3^(1/2), x < -3, And(-x
-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576]]]], [
[4, 14, 1, 5, 5], [v = -1, u = 3^(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -\
4], [5/2, 5/2], [3, 3]]]], [[4, 15, 9, 8, 1], [v = -1, 3^(1/2) < u, And(1 < x,
x < u^2-2), y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [3
, 3], [0, 0]]]], [[5, 4, 5, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And
(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]
]], [[5, 4, 5, 5, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0
), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [
[5, 4, 5, 5, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), 
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [0
, 0]]]], [[5, 4, 5, 5, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,
x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-146543/131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[
5, 4, 5, 5, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And
(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[5, 6, 5, 1,
1], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [-3, -3]]]]
, [[5, 6, 5, 1, 2], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y < -1-x, z =
-(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-3,
-3], [-3315889/2097152, -207243/131072]]]], [[5, 6, 5, 1, 3], [And(-1 < v,v <
0), u = v, And(0 < x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [0, 0]]]
], [[5, 6, 5, 1, 4], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y < -1-x, z
= (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-3,
-3], [207243/131072, 1657945/1048576]]]], [[5, 6, 5, 1, 5], [And(-1 < v,v < 0)
, u = v, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-1/2
, -1/2], [-1/2, -1/2], [1/2, 1/2], [-3, -3], [3, 3]]]], [[5, 9, 6, 2, 1], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-624419/1048576, -1248837/2097152], [-848315/1048576, -\
3393259/4194304], [-3, -3]]]], [[5, 9, 6, 2, 2], [And(-1 < v,v < 0), And(-v <
u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [-19417/16384
, -1242687/1048576]]]], [[5, 9, 6, 2, 3], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/
4194304], [0, 0]]]], [[5, 9, 6, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [1242687/
1048576, 19417/16384]]]], [[5, 9, 6, 2, 5], [And(-1 < v,v < 0), And(-v < u,u <
(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-848315/1048576, -3393259/4194304], [3, 3]]]], [[
5, 11, 5, 5, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]
]], [[5, 11, 5, 5, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [1
/4, 1/4], [-1/2, -1/2]]]], [[5, 11, 5, 5, 3], [And(-1 < v,v < 0), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[5, 11, 5, 5, 4], [And(-\
1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And
(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[5, 11, 5, 5
, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x
,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[6, 1, 
11, 3, 1], [v = 0, u < -2^(1/2), u^2-1 < x, And(-u^2-x-1 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-14, -14], [-4, -4]]]]
, [[6, 1, 11, 3, 2], [v = 0, u < -2^(1/2), u^2-1 < x, And(-u^2-x-1 < y,y < -x)
, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-14, -14], [
-146543/65536, -2344687/1048576]]]], [[6, 1, 11, 3, 3], [v = 0, u < -2^(1/2),
u^2-1 < x, And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[0, 0], [-3, -3], [9, 9], [-14, -14], [0, 0]]]], [[6, 1, 11,
3, 4], [v = 0, u < -2^(1/2), u^2-1 < x, And(-u^2-x-1 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-14, -14], [2344687/1048576
, 146543/65536]]]], [[6, 1, 11, 3, 5], [v = 0, u < -2^(1/2), u^2-1 < x, And(-u
^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [9,
9], [-14, -14], [4, 4]]]], [[6, 3, 8, 6, 1], [v = 0, And(-2^(1/2) < u,u < -1),
x = u^2-1, y = 0, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743
/1048576], [239655/524288, 479311/1048576], [0, 0], [0, 0]]]], [[6, 9, 6, 3, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2-1 < y,y < 0), z < -(-y)^(1/
2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0, 0], [-\
1288231/1048576, -1288231/1048576], [-3, -3]]]], [[6, 9, 6, 3, 2], [v = 0, And
(1 < u,u < 2^(1/2)), x = 0, And(-u^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0, 0], [-1288231/
1048576, -1288231/1048576], [-1162243/1048576, -581121/524288]]]], [[6, 9, 6,
3, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2-1 < y,y < 0), And(-(-y)
^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [0, 0], [-1288231/1048576, -1288231/1048576], [0, 0]]]], [[6
, 9, 6, 3, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2-1 < y,y < 0), z
= (-y)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0
, 0], [-1288231/1048576, -1288231/1048576], [581121/524288, 1162243/1048576]]]
], [[6, 9, 6, 3, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, And(-u^2-1 < y,y <
0), (-y)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [0, 0], [-1288231/1048576, -1288231/1048576], [3, 3]]]], [[6, 11, 3,
8, 1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y = u^2-x-1, z = z], [
regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [27/2, 27/2], [0, 0]]]], [[7,
3, 9, 6, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2]
, [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-\
70317/262144, -281267/1048576], [0, 0]]]], [[7, 5, 8, 7, 1], [And(0 < v,v < 1)
, And(-(v^2+1)^(1/2) < u,u < -v), x = 0, 0 < y, z = z], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [1, 1], [0, 0]]]], [[8, 1,
3, 5, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5/2, 5/2], [-3, -\
3]]]], [[8, 1, 3, 5, 2], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5/
2, 5/2], [-3315889/2097152, -207243/131072]]]], [[8, 1, 3, 5, 3], [v = 1, u <
-3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5/2, 5/2], [0, 0]
]]], [[8, 1, 3, 5, 4], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5/2, 5
/2], [207243/131072, 1657945/1048576]]]], [[8, 1, 3, 5, 5], [v = 1, u < -3^(1/
2), And(-u^2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[1, 1], [-3, -3], [-5, -5], [5/2, 5/2], [3, 3]]]], [[8, 2, 9, 4, 1], [v = 1
, u = -3^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [2, 2], [-2, -2], [-1, -1]]]], [[8, 2, 9, 4, 2], [
v = 1, u = -3^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[1, 1], [-1816187
/1048576, -3632373/2097152], [2, 2], [-2, -2], [0, 0]]]], [[8, 2, 9, 4, 3], [v
= 1, u = -3^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [2, 2], [-2, -2], [1, 1]]]], [[8, 7, 3, 4, 1], [v
= 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [0, 0], [-3, -3]]]], [[8
, 7, 3, 4, 2], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = 0, z = -(
-x)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [0, 0], [-\
1229565/1048576, -307391/262144]]]], [[8, 7, 3, 4, 3], [v = 1, And(-1 < u,u <
0), And(u^2-2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [0, 0], [0, 0]]]], [[8,
7, 3, 4, 4], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = 0, z = (-x)
^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [0, 0], [
307391/262144, 1229565/1048576]]]], [[8, 7, 3, 4, 5], [v = 1, And(-1 < u,u < 0
), And(u^2-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-1
/2, -1/2], [-11/8, -11/8], [0, 0], [3, 3]]]], [[8, 9, 2, 1, 1], [v = 1, And(0
< u,u < 1), x = u^2-2, y < 0, z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1],
[1/2, 1/2], [-7/4, -7/4], [-1, -1], [-3, -3]]]], [[8, 9, 2, 1, 2], [v = 1, And
(0 < u,u < 1), x = u^2-2, y < 0, z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1,
1], [1/2, 1/2], [-7/4, -7/4], [-1, -1], [-1738867/1048576, -3477733/2097152]]]
], [[8, 9, 2, 1, 3], [v = 1, And(0 < u,u < 1), x = u^2-2, y < 0, And(-(-u^2-y+
2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-7/
4, -7/4], [-1, -1], [-1/4194304, -1/4194304]]]], [[8, 9, 2, 1, 4], [v = 1, And
(0 < u,u < 1), x = u^2-2, y < 0, z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1
], [1/2, 1/2], [-7/4, -7/4], [-1, -1], [869433/524288, 1738867/1048576]]]], [[
8, 9, 2, 1, 5], [v = 1, And(0 < u,u < 1), x = u^2-2, y < 0, (-u^2-y+2)^(1/2) <
z], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [-1, -1], [3, 3]]]], [[
8, 14, 7, 2, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)
], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-7/
2, -7/2], [-3, -3]]]], [[8, 14, 7, 2, 2], [v = 1, u = 3^(1/2), And(0 < x,x < 1
), y = -x-3, z = -3^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [
[8, 14, 7, 2, 3], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2
) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576]
, [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]], [[8, 14, 7, 2, 4], [v
= 1, u = 3^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-7/2, -7/2], [908093/
524288, 1816187/1048576]]]], [[8, 14, 7, 2, 5], [v = 1, u = 3^(1/2), And(0 < x
,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[9, 1, 4, 1, 1], [And(
1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-\
9, -9], [-5, -5]]]], [[9, 1, 4, 1, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(
1/2), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [-9, -9], [-3315889/1048576, -\
207243/65536]]]], [[9, 1, 4, 1, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2
), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-9, -\
9], [0, 0]]]], [[9, 1, 4, 1, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-1, -1], [-9, -9], [207243/65536, 3315889/1048576
]]]], [[9, 1, 4, 1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, y
< -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [-9, -9], [5, 5]]]], [[9, 5, 3, 5, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), 
And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [367677/1048576, 367677/1048576], [-2, -2]]]], [[9, 5
, 3, 5, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+
v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [367677/1048576, 367677/
1048576], [-15766287/16777216, -7883143/8388608]]]], [[9, 5, 3, 5, 3], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [367677/1048576, 367677/
1048576], [-7/16777216, -7/16777216]]]], [[9, 5, 3, 5, 4], [And(1 < v,v < 2^(1
/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y
< u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [367677/1048576, 367677/1048576], [61587/65536, 985393/1048576]]]], [
[9, 5, 3, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(
-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [367677/1048576, 367677/
1048576], [2, 2]]]], [[9, 7, 3, 9, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
2695357/2097152, -2695357/2097152], [3, 3], [0, 0]]]], [[9, 9, 10, 3, 1], [And
(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2
-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [0, 0], [1, 1], [-2336807/1048576, -2336807/1048576], [-3, -\
3]]]], [[9, 9, 10, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-2336807/
1048576, -2336807/1048576], [-1162243/1048576, -581121/524288]]]], [[9, 9, 10,
3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x =
1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-2336807/
1048576, -2336807/1048576], [0, 0]]]], [[9, 9, 10, 3, 4], [And(1 < v,v < 2^(1/
2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -\
1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0
, 0], [1, 1], [-2336807/1048576, -2336807/1048576], [581121/524288, 1162243/
1048576]]]], [[9, 9, 10, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-2336807/
1048576, -2336807/1048576], [3, 3]]]], [[9, 11, 9, 2, 1], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [-3
, -3]]]], [[9, 11, 9, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [-1314069/1048576, -\
328517/262144]]]], [[9, 11, 9, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,
z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [1/2, 1/2], [-2171069/1048576, -542767/
262144], [0, 0]]]], [[9, 11, 9, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [328517/262144, 
1314069/1048576]]]], [[9, 11, 9, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-2171069/1048576, -542767/262144], [3, 3]]]], [[9, 15,
11, 9, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
1 < x, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [2, 2], [1, 1], [0, 0]]]], [[9, 17, 8, 8, 1], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y = u^2-v^2-2, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [5812145/
1048576, 2906073/524288], [0, 0]]]], [[10, 5, 10, 4, 1], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1],
[-799673/524288, -3198691/2097152], [-2, -2]]]], [[10, 5, 10, 4, 2], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [-799673/524288, -3198691/2097152], [-379975/524288, -\
1519899/2097152]]]], [[10, 5, 10, 4, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v
), x = 1, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [-799673/524288, -3198691/2097152], [-1/4194304, -1/4194304]
]]], [[10, 5, 10, 4, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y = u^
2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-6598195/4194304, -6598195/4194304], [1, 1], [-799673/524288, -3198691/2097152
], [759949/1048576, 379975/524288]]]], [[10, 5, 10, 4, 5], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), x = 1, y = u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1],
[-799673/524288, -3198691/2097152], [2, 2]]]], [[10, 7, 10, 8, 1], [v = 2^(1/2
), And(-v < u,u < -1), x = 1, y = 0, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [0, 0], [0, 0]
]]], [[10, 11, 10, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 1, And(u^2-4 < y
,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [1/2, 1/2], [1, 1], [-19/8, -19/8], [-3, -3]]]], [[10, 11, 10, 3, 2], [v =
2^(1/2), And(0 < u,u < 1), x = 1, And(u^2-4 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-19/8,
-19/8], [-1229565/1048576, -307391/262144]]]], [[10, 11, 10, 3, 3], [v = 2^(1/
2), And(0 < u,u < 1), x = 1, And(u^2-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2],
[1, 1], [-19/8, -19/8], [0, 0]]]], [[10, 11, 10, 3, 4], [v = 2^(1/2), And(0 <
u,u < 1), x = 1, And(u^2-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-19/8, -19/8], [307391/
262144, 1229565/1048576]]]], [[10, 11, 10, 3, 5], [v = 2^(1/2), And(0 < u,u <
1), x = 1, And(u^2-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-19/8, -19/8], [3, 3]]]], [[10,
13, 9, 2, 1], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = u^2-x-3, z
< -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1071065/524288, -2142129/
1048576], [-3, -3]]]], [[10, 13, 9, 2, 2], [v = 2^(1/2), And(1 < u,u < v), And
(0 < x,x < 1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
1071065/524288, -2142129/1048576], [-1302471/1048576, -651235/524288]]]], [[10
, 13, 9, 2, 3], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = u^2-x-3,
And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1071065/
524288, -2142129/1048576], [0, 0]]]], [[10, 13, 9, 2, 4], [v = 2^(1/2), And(1
< u,u < v), And(0 < x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2,
1/2], [-1071065/524288, -2142129/1048576], [651235/524288, 1302471/1048576]]]]
, [[10, 13, 9, 2, 5], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = u^
2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1071065/524288, -2142129/
1048576], [3, 3]]]], [[11, 2, 9, 4, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 <
x, y = -x, z < 0], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576
], [2, 2], [-2, -2], [-1, -1]]]], [[11, 2, 9, 4, 2], [2^(1/2) < v, u = -(v^2+2
)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [2, 2], [-2, -2], [0, 0]]]], [[11, 2, 9, 4, 3], [2^(1/2) < v
, u = -(v^2+2)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-2, -2], [1, 1]]]], [[11, 4, 7, 6,
1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [0, 0],
[0, 0]]]], [[11, 9, 1, 8, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2
)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [4727339/1048576, 1181835/
262144], [0, 0]]]], [[11, 10, 7, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(
0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[11, 15, 11, 5
, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [-2, -2]]]], [
[11, 15, 11, 5, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^
2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [-\
16263/32768, -520415/1048576]]]], [[11, 15, 11, 5, 3], [2^(1/2) < v, And((v^2-\
1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [0, 0]]]], [[11, 15, 
11, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [-4710875/2097152, -4710875/2097152], [520415/
1048576, 16263/32768]]]], [[11, 15, 11, 5, 5], [2^(1/2) < v, And((v^2-1)^(1/2)
< u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-4710875/
2097152, -4710875/2097152], [2, 2]]]], [[11, 17, 11, 9, 1], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [2, 2], [1, 1], [0, 0]]]], [[11, 21, 11, 2, 1],
[2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [16, 16], [-33, -33], [-6, -6]]]
], [[11, 21, 11, 2, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u
^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [16, 16]
, [-33, -33], [-2161695/524288, -4323389/1048576]]]], [[11, 21, 11, 2, 3], [2^
(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1
)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [5, 5], [16, 16]
, [-33, -33], [0, 0]]]], [[11, 21, 11, 2, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [5, 5], [16, 16], [-33, -33], [4323389/1048576, 2161695/524288]]]], [[11,
21, 11, 2, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [16, 16], [-33, -\
33], [6, 6]]]], [[1, 2, 1, 8, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y
= 1-x, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576],
[-4, -4], [5, 5], [0, 0]]]], [[1, 3, 10, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[1, 3, 
10, 4, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y
= -1, z = 0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[1, 1], [-1, -1], [0, 0]]]], [[1, 3, 10, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [1, 1], [-1, -1], [1, 1]]]], [[1, 8, 1,
5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [-3, -3], [2, 2], [-2, -2]]]], [[1, 8, 1, 5, 2], [v < -2^(1/2), u = -(v^2-1)
^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [2, 2], [-1, -1]]]], [
[1, 8, 1, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [2, 2], [0, 0]]]], [[1, 8, 1, 5
, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-3, -3], [2, 2], [1, 1]]]], [[1, 8, 1, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/
2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3]
, [-2965821/1048576, -11863283/4194304], [-3, -3], [2, 2], [2, 2]]]], [[1, 9,
11, 8, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y
= 0, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608]
, [2, 2], [0, 0], [0, 0]]]], [[1, 15, 4, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -\
133001/262144], [-3, -3]]]], [[1, 15, 4, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -\
133001/262144], [-1287385/1048576, -160923/131072]]]], [[1, 15, 4, 2, 3], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1
)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/262144], [0, 0
]]]], [[1, 15, 4, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1,
y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-1, -1], [-1064009/2097152, -133001/262144], [
160923/131072, 1287385/1048576]]]], [[1, 15, 4, 2, 5], [v < -2^(1/2), And((v^2
-1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
1064009/2097152, -133001/262144], [3, 3]]]], [[1, 17, 5, 1, 1], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z
< -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
-1579769/2097152, -1579769/2097152], [-2, -2], [-3, -3]]]], [[1, 17, 5, 1, 2],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -
u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [-3479815/
2097152, -1739907/1048576]]]], [[1, 17, 5, 1, 3], [v < -2^(1/2), And(-v < u,u
< (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [0, 0]]]], [[1, 17, 5
, 1, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-\
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-1579769/2097152, -1579769/2097152], [-2, -2], [
1739907/1048576, 434977/262144]]]], [[1, 17, 5, 1, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2
) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1579769/
2097152, -1579769/2097152], [-2, -2], [3, 3]]]], [[1, 21, 3, 8, 1], [v < -2^(1
/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [5, 5], [-9, -9], [24, 24], [0, 0]]]], [[2, 1, 9, 9,
1], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), u^2-x-3 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [4,
4], [0, 0]]]], [[2, 10, 3, 1, 1], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y
< -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [0, 0], [-2, -2], [-2, -2], [-3, -3]]]], [[2, 10, 3, 1, 2], [v = -2^(1/2),
u = 0, And(-3 < x,x < -1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-2, -2], [-2, -2]]]], [[2
, 10, 3, 1, 3], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y < -x-3, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [-2, -2], [0, 0]]]], [[2, 10, 3, 1, 4], [v = -2^(1/
2), u = 0, And(-3 < x,x < -1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-2, -2], [2, 2]]]], [[2,
10, 3, 1, 5], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [
-2, -2], [3, 3]]]], [[2, 11, 11, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x
, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1
/2], [2, 2], [-2, -2], [-1, -1]]]], [[2, 11, 11, 4, 2], [v = -2^(1/2), And(0 <
u,u < 1), 1 < x, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [2, 2], [-2, -2], [0, 0]]]], [[2, 11, 11, 4, 3], [v = -2^
(1/2), And(0 < u,u < 1), 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [2, 2], [-2, -2], [1, 1]]]], [[2, 16, 3,
2, 1], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187
/1048576], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[2, 16, 3, 2, 2], [v = -2
^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [
[2, 16, 3, 2, 3], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x-2, 
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]
]], [[2, 16, 3, 2, 4], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x-\
2, z = 2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/
1048576]]]], [[2, 16, 3, 2, 5], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1)
, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[908093/524288, 1816187/1048576], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[2,
18, 1, 8, 1], [v = -2^(1/2), u = 2, x < -3, y = 1-x, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [5, 5], [0, 0]]]], [[3,
4, 1, 2, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = 0, z <
-(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[3, 4, 1, 2, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[3, 4, 1, 2, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [0, 0], [-1/
4194304, -1/4194304]]]], [[3, 4, 1, 2, 4], [And(-2^(1/2) < v,v < -1), u = -(v^
2+1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [0, 0], [
908093/524288, 1816187/1048576]]]], [[3, 4, 1, 2, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2+1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -\
3], [0, 0], [3, 3]]]], [[3, 5, 11, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2
+1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-4752643/2097152, -4752643/2097152], [-2, -2]]]], [
[3, 5, 11, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1
< x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2,
2], [-4752643/2097152, -4752643/2097152], [-270523/524288, -1082091/2097152]]]
], [[3, 5, 11, 5, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v)
, 1 < x, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-4752643/2097152, -4752643/2097152], [-1/4194304, -\
1/4194304]]]], [[3, 5, 11, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2
) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-4752643/2097152, -4752643/2097152], [541045/
1048576, 270523/524288]]]], [[3, 5, 11, 5, 5], [And(-2^(1/2) < v,v < -1), And(
-(v^2+1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [2, 2], [-4752643/2097152, -4752643/2097152], [2, 2]]]], [[
3, 10, 3, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x <
-1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [-1
/4, -1/4], [-3, -3]]]], [[3, 10, 3, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2
-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[3,
10, 3, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1)
, And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[3, 10, 3, 3, 4], [And(-2^(1
/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-3/2, -3/2], [-1/4, -1/4], [1387135/1048576,
10837/8192]]]], [[3, 10, 3, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2
), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2,
-3/2], [-1/4, -1/4], [3, 3]]]], [[3, 12, 2, 2, 1], [And(-2^(1/2) < v,v < -1),
u = -v, x = -1, y = 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [
[3, 12, 2, 2, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y = 0, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[3, 12, 2, 2, 3], [And(-2^(1
/2) < v,v < -1), u = -v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1,
-1], [0, 0], [0, 0]]]], [[3, 12, 2, 2, 4], [And(-2^(1/2) < v,v < -1), u = -v,
x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[3, 12, 2, 2
, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y = 0, 1 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [
-1, -1], [0, 0], [2, 2]]]], [[3, 15, 2, 5, 1], [And(-2^(1/2) < v,v < -1), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 2*
u^2-2*v^2), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576], [712525/
262144, 712525/262144], [0, 0]]]], [[3, 16, 9, 1, 1], [And(-2^(1/2) < v,v < -1
), u = (v^2+2)^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [
-6, -6], [-3, -3]]]], [[3, 16, 9, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2
)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-6, -6],
[-2, -2]]]], [[3, 16, 9, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [
-6, -6], [0, 0]]]], [[3, 16, 9, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^
(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [2, 2], [-6, -6], [2, 2]]]
], [[3, 16, 9, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), 1 < x, y <
-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [121853/65536, 1949649/1048576], [2, 2], [-6, -6], [3, 3]]]], [[4, 3, 5, 8,
1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = u^2-x-2, z
= z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2,
-1/2], [511047/524288, 1022095/1048576], [0, 0]]]], [[4, 5, 5, 2, 1], [v = -1,
And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -u^2-x, z < u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [-3, -3]]]], [
[4, 5, 5, 2, 2], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y =
-u^2-x, z = u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [-3235683/4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [
-1265743/1048576, -1265743/1048576]]]], [[4, 5, 5, 2, 3], [v = -1, And(-2^(1/2
) < u,u < -1), And(-1 < x,x < u^2-2), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3235683/
4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [0, 0]]]], [[4
, 5, 5, 2, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-1 < x,x < u^2-2), y = -
u^2-x, z = -u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576
], [-3235683/4194304, -3235683/4194304], [-359483/524288, -1437931/2097152], [
1265743/1048576, 1265743/1048576]]]], [[4, 5, 5, 2, 5], [v = -1, And(-2^(1/2)
< u,u < -1), And(-1 < x,x < u^2-2), y = -u^2-x, -u < z], [regular_chain, [[-1,
-1], [-1265743/1048576, -1265743/1048576], [-3235683/4194304, -3235683/4194304
], [-359483/524288, -1437931/2097152], [3, 3]]]], [[4, 11, 4, 4, 1], [v = -1,
And(1 < u,u < 2^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[4, 11, 4,
4, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y = 0, z = -1], [regular_chain
, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]]
, [[4, 11, 4, 4, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y = 0, And(-1 <
z,z < 1)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1,
-1], [0, 0], [0, 0]]]], [[4, 11, 4, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), x
= -1, y = 0, z = 1], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [1, 1]]]], [[4, 11, 4, 4, 5], [v = -1, And(1 < u,u
< 2^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [-1, -1], [0, 0], [2, 2]]]], [[4, 13, 3, 7, 1], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(-x < y,y < u^2-x-2), z
= z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533
/2097152, -3643533/2097152], [4141339/2097152, 4141339/2097152], [0, 0]]]], [[
5, 1, 9, 5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-\
1), And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8,
35/8], [-35/16, -35/16], [0, 0]]]], [[5, 3, 7, 1, 1], [And(-1 < v,v < 0), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2
-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [243021/1048576, 243021/1048576], [-4, -4], [-3, -3]]]], [[5,
3, 7, 1, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/
1048576], [-4, -4], [-8141961/4194304, -32567843/16777216]]]], [[5, 3, 7, 1, 3
], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x
< u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [243021/
1048576, 243021/1048576], [-4, -4], [-3/33554432, -3/33554432]]]], [[5, 3, 7,
1, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 <
x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-343151/262144, -343151/262144], [243021/1048576, 243021/1048576], [-4
, -4], [1017745/524288, 2035491/1048576]]]], [[5, 3, 7, 1, 5], [And(-1 < v,v <
0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [243021/1048576, 243021/1048576], [-4, -4], [3, 3]]]]
, [[5, 12, 3, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1)
, And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2
, 3/2], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[5, 12, 3, 3, 2], [And(-1 < v,v
< 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-1/2, -1/2], [-\
3315889/2097152, -207243/131072]]]], [[5, 12, 3, 3, 3], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-1
/2, -1/2], [0, 0]]]], [[5, 12, 3, 3, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2)
, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3/2, 3/2], [-2, -2], [-1/2, -1/2], [207243/131072, 1657945/
1048576]]]], [[5, 12, 3, 3, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3
< x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [3/2, 3/2], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[5, 13, 11, 6, 1], [And(
-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-5/4, -5/4], [0, 0]]]], [[6, 4,
8, 2, 1], [v = 0, u = -1, x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[0, 0
], [-1, -1], [1, 1], [-3, -3], [-3, -3]]]], [[6, 4, 8, 2, 2], [v = 0, u = -1,
x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-3,
-3], [-1482911/1048576, -741455/524288]]]], [[6, 4, 8, 2, 3], [v = 0, u = -1,
x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [-1, -\
1], [1, 1], [-3, -3], [0, 0]]]], [[6, 4, 8, 2, 4], [v = 0, u = -1, x = 1, y =
-3, z = 2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-3, -3], [741455
/524288, 1482911/1048576]]]], [[6, 4, 8, 2, 5], [v = 0, u = -1, x = 1, y = -3,
2^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-3, -3], [3, 3]]]],
[[6, 6, 7, 3, 1], [v = 0, u = 0, 1 < x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[0, 0], [0, 0], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[6, 6
, 7, 3, 2], [v = 0, u = 0, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [2, 2], [-5/2, -5/2], [-1482911/2097152, -\
741455/1048576]]]], [[6, 6, 7, 3, 3], [v = 0, u = 0, 1 < x, And(-1-x < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [0, 0],
[2, 2], [-5/2, -5/2], [0, 0]]]], [[6, 6, 7, 3, 4], [v = 0, u = 0, 1 < x, And(-\
1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [2, 2], [
-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[6, 6, 7, 3, 5], [v = 0, u = 0
, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [0,
0], [2, 2], [-5/2, -5/2], [2, 2]]]], [[7, 1, 1, 4, 1], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [5/4, 5/4], [-5, -5]]]], [[7
, 1, 1, 4, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2
+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-11
, -11], [5/4, 5/4], [-1637089/524288, -3274177/1048576]]]], [[7, 1, 1, 4, 3],
[And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
3, -3], [-11, -11], [5/4, 5/4], [0, 0]]]], [[7, 1, 1, 4, 4], [And(0 < v,v < 1)
, u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [5/4, 5/4], [3274177/
1048576, 1637089/524288]]]], [[7, 1, 1, 4, 5], [And(0 < v,v < 1), u < -(v^2+2)
^(1/2), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [5/4, 5/4], [5, 5]]]], [[7,
2, 7, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 <
y,y < 1-x), z = z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [1/
4, 1/4], [0, 0]]]], [[7, 7, 1, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), x
< u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [0, 0], [-3, -3], [7/8, 7/8], [-3, -3]]]], [[7, 7, 1, 3, 2], [And(
0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z
= -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [7/8, 7/8], [
-764275/524288, -1528549/1048576]]]], [[7, 7, 1, 3, 3], [And(0 < v,v < 1), And
(-v < u,u < v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [7/8, 7/8
], [0, 0]]]], [[7, 7, 1, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-
v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [0, 0], [-3, -3], [7/8, 7/8], [1528549/1048576, 764275/524288]]]], [[7, 7
, 1, 3, 5], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(0 < y,y <
u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3]
, [7/8, 7/8], [3, 3]]]], [[7, 9, 2, 2, 1], [And(0 < v,v < 1), And(v < u,u < (v
^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [0, 0], [-3, -3]]]], [[7, 9, 2, 2, 2], [And(0 < v,v < 1), And(v < u,
u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [0, 0], [-19417/16384, -1242687/1048576]]]], [[7, 9
, 2, 2, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y
= 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576]
, [0, 0], [0, 0]]]], [[7, 9, 2, 2, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1
)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2
, 1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576]
, [0, 0], [1242687/1048576, 19417/16384]]]], [[7, 9, 2, 2, 5], [And(0 < v,v <
1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z
], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [0, 0], [3, 3]]]], [[7, 11, 8, 4, 1], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1,
z < 0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/
524288, 486043/1048576], [-486043/1048576, -243021/524288], [-1, -1]]]], [[7,
11, 8, 4, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [343151/262144
, 343151/262144], [243021/524288, 486043/1048576], [-486043/1048576, -243021/
524288], [0, 0]]]], [[7, 11, 8, 4, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [
[1/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [
-486043/1048576, -243021/524288], [1, 1]]]], [[7, 13, 5, 3, 1], [And(0 < v,v <
1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-37/8, -37/8]
, [-4, -4]]]], [[7, 13, 5, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[1/2, 1/2], [3, 3], [-1/2, -1/2], [-37/8, -37/8], [-2373815/1048576, -1186907/
524288]]]], [[7, 13, 5, 3, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 <
x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-37/8, -37/8], [0, 0]]]
], [[7, 13, 5, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0),
And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
3, 3], [-1/2, -1/2], [-37/8, -37/8], [1186907/524288, 2373815/1048576]]]], [[7
, 13, 5, 3, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-
u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3]
, [-1/2, -1/2], [-37/8, -37/8], [4, 4]]]], [[8, 3, 11, 5, 1], [v = 1, And(-3^(
1/2) < u,u < -2^(1/2)), 1 < x, And(-x < y,y < u^2-x-2), z = z], [regular_chain
, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [-1848249/1048576, -\
1848249/1048576], [0, 0]]]], [[8, 5, 10, 4, 1], [v = 1, And(-2^(1/2) < u,u < -\
1), x = 1, y = u^2-3, z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [1, 1], [-3235683/2097152, -1617841/1048576], [-2
, -2]]]], [[8, 5, 10, 4, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, y = u^2-\
3, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [1, 1], [-3235683/2097152, -1617841/1048576], [-772605/1048576, -\
1545209/2097152]]]], [[8, 5, 10, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), x =
1, y = u^2-3, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[
1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-3235683/2097152, -\
1617841/1048576], [-1/4194304, -1/4194304]]]], [[8, 5, 10, 4, 4], [v = 1, And(
-2^(1/2) < u,u < -1), x = 1, y = u^2-3, z = (-u^2+2)^(1/2)], [regular_chain, [
[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-3235683/2097152, -\
1617841/1048576], [193151/262144, 772605/1048576]]]], [[8, 5, 10, 4, 5], [v =
1, And(-2^(1/2) < u,u < -1), x = 1, y = u^2-3, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
3235683/2097152, -1617841/1048576], [2, 2]]]], [[8, 11, 10, 3, 1], [v = 1, And
(1 < u,u < 2^(1/2)), x = 1, And(-u^2-1 < y,y < u^2-3), z < -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-8388607/
4194304, -8388607/4194304], [-2, -2]]]], [[8, 11, 10, 3, 2], [v = 1, And(1 < u
,u < 2^(1/2)), x = 1, And(-u^2-1 < y,y < u^2-3), z = -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-8388607/
4194304, -8388607/4194304], [-8388607/8388608, -4398045986815/4398046511104]]]
], [[8, 11, 10, 3, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2-1 < y,y
< u^2-3), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [1, 1], [-8388607/4194304, -8388607/4194304
], [-3670015/8796093022208, -3670015/8796093022208]]]], [[8, 11, 10, 3, 4], [v
= 1, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2-1 < y,y < u^2-3), z = (-y-1)^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-\
8388607/4194304, -8388607/4194304], [1048575/1048576, 1]]]], [[8, 11, 10, 3, 5
], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, And(-u^2-1 < y,y < u^2-3), (-y-1)^(1
/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1],
[-8388607/4194304, -8388607/4194304], [2, 2]]]], [[8, 13, 9, 2, 1], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, z < -u], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 
773191/1048576], [-3368149/1048576, -842037/262144], [-3, -3]]]], [[8, 13, 9,
2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x,
z = -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [-3368149/1048576, -842037/262144], [-3299097/
2097152, -3299097/2097152]]]], [[8, 13, 9, 2, 3], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, And(-u < z,z < u)], [regular_chain
, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576
], [-3368149/1048576, -842037/262144], [-1/4194304, -1/4194304]]]], [[8, 13, 9
, 2, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), y = -u^2-
x, z = u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
773191/1048576, 773191/1048576], [-3368149/1048576, -842037/262144], [412387/
262144, 1649549/1048576]]]], [[8, 13, 9, 2, 5], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), And(u^2-2 < x,x < 1), y = -u^2-x, u < z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-3368149
/1048576, -842037/262144], [3, 3]]]], [[9, 2, 4, 2, 1], [And(1 < v,v < 2^(1/2)
), u = -(v^2+2)^(1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [-2, -2], [-3, -3]]]], [[9, 2, 4, 2, 2], [And(1 < v,v < 2^(1/2)), u = -(v
^2+2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [-2, -2], [-\
1816187/1048576, -3632373/2097152]]]], [[9, 2, 4, 2, 3], [And(1 < v,v < 2^(1/2
)), u = -(v^2+2)^(1/2), x = -1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 2, 4,
2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y = -2, z = 3^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[9
, 2, 4, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y = -2, 3^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [-2, -2], [3, 3]]]], [[9, 4, 1, 1, 1], [
And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319
/2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[9, 4, 1, 1, 2], [And(1 < v,v < 2
^(1/2)), u = -(v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3
, -3], [-1, -1], [-2, -2]]]], [[9, 4, 1, 1, 3], [And(1 < v,v < 2^(1/2)), u = -
(v^2+1)^(1/2), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3, -3], [-1, -1], [0, 0]]]], [[9, 4, 1, 1, 4], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [-1, -1], [2, 2]]]], [[9, 4, 1, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1
)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576,
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [-1, -1], [3,
3]]]], [[9, 13, 1, 9, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)
), x < -u^2+v^2-1, -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3, -3], [4, 4], [0, 0]]]], [[9
, 14, 9, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = 0, z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [0, 0], [0, 0]]]], [[10, 1, 7, 1, 1], [v = 2^(1/2), u
< -2, And(0 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-10, -10], [-5, -5]]]]
, [[10, 1, 7, 1, 2], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y < -u^2-x+1, z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [
1/2, 1/2], [-10, -10], [-3231929/1048576, -403991/131072]]]], [[10, 1, 7, 1, 3
], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -\
3], [1/2, 1/2], [-10, -10], [0, 0]]]], [[10, 1, 7, 1, 4], [v = 2^(1/2), u < -2
, And(0 < x,x < 1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-10, -10], [403991/131072, 
3231929/1048576]]]], [[10, 1, 7, 1, 5], [v = 2^(1/2), u < -2, And(0 < x,x < 1)
, y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [1/2, 1/2], [-10, -10], [5, 5]]]], [[10, 3, 3, 9, 1], [v =
2^(1/2), And(-2 < u,u < -3^(1/2)), And(-u^2+1 < x,x < -1), u^2-x-3 < y, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-3651195/2097152, -3651195/2097152], [4, 4], [0, 0]]]], [[
10, 9, 2, 1, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3, y < 0, z < -(-u^2
-y+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[-11/4, -11/4], [-1, -1], [-3, -3]]]], [[10, 9, 2, 1, 2], [v = 2^(1/2), And(-1
< u,u < 0), x = u^2-3, y < 0, z = -(-u^2-y+3)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [-1, -1], [-8122235/
4194304, -16244469/8388608]]]], [[10, 9, 2, 1, 3], [v = 2^(1/2), And(-1 < u,u
< 0), x = u^2-3, y < 0, And(-(-u^2-y+3)^(1/2) < z,z < (-u^2-y+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4]
, [-1, -1], [-5/16777216, -5/16777216]]]], [[10, 9, 2, 1, 4], [v = 2^(1/2), 
And(-1 < u,u < 0), x = u^2-3, y < 0, z = (-u^2-y+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [-1, -1], [
1015279/524288, 2030559/1048576]]]], [[10, 9, 2, 1, 5], [v = 2^(1/2), And(-1 <
u,u < 0), x = u^2-3, y < 0, (-u^2-y+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [-1, -1], [3, 3]]]], [
[10, 10, 7, 9, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), 1-x < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [2, 2],
[0, 0]]]], [[10, 15, 1, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+
1, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [
2870343/1048576, 2870343/1048576], [-2, -2]]]], [[10, 15, 1, 7, 2], [v = 2^(1/
2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3, -3], [2870343/1048576, 2870343/1048576], [-268683/
524288, -1074731/2097152]]]], [[10, 15, 1, 7, 3], [v = 2^(1/2), And(v < u,u <
3^(1/2)), x < -u^2+1, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [-3, -3], [2870343/1048576, 2870343/1048576], [-1/4194304,
-1/4194304]]]], [[10, 15, 1, 7, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x <
-u^2+1, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [
2870343/1048576, 2870343/1048576], [537365/1048576, 268683/524288]]]], [[10, 
15, 1, 7, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(u^2-x-3 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-3, -3], [2870343/1048576, 2870343/
1048576], [2, 2]]]], [[10, 16, 9, 4, 1], [v = 2^(1/2), u = 3^(1/2), 1 < x, y =
-x, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[10, 16, 9, 4, 2], [v = 2^(1
/2), u = 3^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [2, 2], [-2, -2], [0, 0]]]
], [[10, 16, 9, 4, 3], [v = 2^(1/2), u = 3^(1/2), 1 < x, y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [2, 2], [-2, -2], [1, 1]]]], [[10, 19, 5, 1, 1], [v = 2^(1/2), 2 < u
, And(-1 < x,x < 0), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [-9, -9], [-5, -5]]]],
[[10, 19, 5, 1, 2], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y < -u^2-x+1, z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1
/2, -1/2], [-9, -9], [-3231929/1048576, -403991/131072]]]], [[10, 19, 5, 1, 3]
, [v = 2^(1/2), 2 < u, And(-1 < x,x < 0), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-1/2, -1/2], [-9, -9], [0, 0]]]], [[10, 19, 5, 1, 4], [v = 2^(1/2), 2 < u, 
And(-1 < x,x < 0), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [-1/2, -1/2], [-9, -9], [403991/131072, 
3231929/1048576]]]], [[10, 19, 5, 1, 5], [v = 2^(1/2), 2 < u, And(-1 < x,x < 0
), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1/2, -1/2], [-9, -9], [5, 5]]]], [[11, 1, 10, 7, 1], [2^(1
/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[3
, 3], [-5, -5], [15, 15], [1, 1], [0, 0]]]], [[11, 5, 10, 4, 1], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-1579769
/1048576, -3159537/2097152], [-2, -2]]]], [[11, 5, 10, 4, 2], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-1579769
/1048576, -3159537/2097152], [-373161/524288, -1492643/2097152]]]], [[11, 5, 
10, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [1, 1], [-1579769/1048576, -3159537/2097152]
, [-1/4194304, -1/4194304]]]], [[11, 5, 10, 4, 4], [2^(1/2) < v, And(-(v^2+1)^
(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-1579769/
1048576, -3159537/2097152], [746321/1048576, 373161/524288]]]], [[11, 5, 10, 4
, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, (-u^
2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [1, 1], [-1579769/1048576, -3159537/2097152], [2, 2]]]], [[11, 7, 10, 8, 1],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = 0, z = z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [0, 0],
[0, 0]]]], [[11, 13, 3, 4, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [
[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [0
, 0], [-3, -3]]]], [[11, 13, 3, 4, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [0, 0], [-347197/262144, -1388787/1048576]]]], [[11, 13, 3, 4,
3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,
x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [0, 0], [0
, 0]]]], [[11, 13, 3, 4, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [0, 0]
, [1388787/1048576, 347197/262144]]]], [[11, 13, 3, 4, 5], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1
/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/
524288, -919691/524288], [0, 0], [3, 3]]]], [[11, 15, 2, 1, 1], [2^(1/2) < v,
And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [-1, -1], [-3, -3]]]], [[11, 15, 2, 1, 2], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(
1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [-1, -1], [-1660383/1048576, -3320765/2097152]]]], [
[11, 15, 2, 1, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1,
y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 15, 2, 1, 4], [2
^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-
y+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [-1, -1], [830191/524288, 1660383/1048576]]]
], [[11, 15, 2, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2
-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [-1, -1], [3, 3
]]]], [[11, 19, 5, 1, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]
], [[11, 19, 5, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-3, -3], [-7846825/
4194304, -980853/524288]]]], [[11, 19, 5, 1, 3], [2^(1/2) < v, And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[11, 19, 5, 1, 4], [2^(1/2) < v
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[11, 
19, 5, 1, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 <
x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[11, 21
, 1, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, u^2-v^2-x-1 < y,
z = z], [regular_chain, [[3, 3], [5, 5], [-18, -18], [34, 34], [0, 0]]]], [[1,
5, 1, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y <
0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-3, -3], [-1, -1], [-3, -3]]]], [[1, 5, 1, 1, 2], [v < -2^(1/2), And
(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [-1, -1]
, [-2, -2]]]], [[1, 5, 1, 1, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [-1, -1]
, [0, 0]]]], [[1, 5, 1, 1, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-3, -3], [-1, -1], [2, 2]]]], [[1, 5, 1, 1, 5], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) <
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [-1
, -1], [3, 3]]]], [[1, 7, 1, 9, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2
)), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [4, 4], [0, 0]]]], [[1, 10, 9, 7, 1], [v
< -2^(1/2), u = -(v^2-2)^(1/2), 1 < x, And(1-x < y,y < 0), z = z], [
regular_chain, [[-3, -3], [-5548543/2097152, -2774271/1048576], [2, 2], [-1/2,
-1/2], [0, 0]]]], [[1, 12, 7, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 <
x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[1, 12, 7, 1, 2], [v
< -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-5, -5]
, [-1112183/524288, -2224365/1048576]]]], [[1, 12, 7, 1, 3], [v < -2^(1/2), u
= (v^2-2)^(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2],
[-5, -5], [0, 0]]]], [[1, 12, 7, 1, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(
0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [1/2, 1/2], [-5, -5], [2224365/1048576, 1112183/524288]
]]], [[1, 12, 7, 1, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), y
< -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [1/2, 1/2], [-5, -5], [4, 4]]]], [[1, 18, 3, 4, 1], [v < -2^(1/2), u =
(v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[
-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [0, 0], [-3, -3]]]], [
[1, 18, 3, 4, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[1, 18, 3, 4, 3]
, [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[1, 18, 3, 4, 4], [v < -2^(1/2), u
= (v^2+1)^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [
[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [0, 0], [642119/
524288, 1284239/1048576]]]], [[1, 18, 3, 4, 5], [v < -2^(1/2), u = (v^2+1)^(1/
2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[1, 20, 2, 1
, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [-1, -1
], [-3, -3]]]], [[1, 20, 2, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y
< 0, z = -(3-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-3, -3], [-1, -1], [-2, -2]]]], [[1, 20, 2, 1, 3], [v < -2^(1/2), u
= (v^2+2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [-1, -1
], [0, 0]]]], [[1, 20, 2, 1, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y <
0, z = (3-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-3, -3], [-1, -1], [2, 2]]]], [[1, 20, 2, 1, 5], [v < -2^(1/2), u =
(v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-3, -3], [-1, -1], [3, 3]]]], [[2, 2, 7, 8,
1], [v = -2^(1/2), u = -2, And(0 < x,x < 1), y = 1-x, z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [1/2, 1/2], [0, 0]]
]], [[2, 4, 6, 3, 1], [v = -2^(1/2), u = -3^(1/2), x = 0, And(-2 < y,y < 0), z
< -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187
/1048576, -3632373/2097152], [0, 0], [-1, -1], [-2, -2]]]], [[2, 4, 6, 3, 2],
[v = -2^(1/2), u = -3^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-1, -1], [-1, -1]]]], [[2, 4, 6, 3, 3], [v = -2^(1/
2), u = -3^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2)
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-1, -1], [0, 0]]]], [[2, 4, 6, 3, 4], [v = -2^(1/2)
, u = -3^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [0, 0]
, [-1, -1], [1, 1]]]], [[2, 4, 6, 3, 5], [v = -2^(1/2), u = -3^(1/2), x = 0, 
And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [0, 0], [-1, -1], [2, 2]
]]], [[2, 7, 5, 8, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1
), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [
763943/1048576, 95493/131072], [-1, -1]]]], [[2, 7, 5, 8, 2], [v = -2^(1/2), 
And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [763943/1048576, 95493/131072], [0, 0]]]],
[[2, 7, 5, 8, 3], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y
= -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [763943/
1048576, 95493/131072], [1, 1]]]], [[2, 9, 5, 2, 1], [v = -2^(1/2), And(-1 < u
,u < 0), And(-1 < x,x < 0), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2], [-9/4, -9/4],
[-3, -3]]]], [[2, 9, 5, 2, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(-1 < x,x
< 0), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1/2, -1/2], [-9/4, -9/4], [-1738867/1048576, -\
3477733/2097152]]]], [[2, 9, 5, 2, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < 0), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-9/4, -9/4], [-1/4194304, -1/4194304]]]], [[2, 9, 5, 2, 4], [v = -2^(1/2),
And(-1 < u,u < 0), And(-1 < x,x < 0), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1/2]
, [-9/4, -9/4], [869433/524288, 1738867/1048576]]]], [[2, 9, 5, 2, 5], [v = -2
^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = u^2-x-3, (-u^2+3)^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1/2, -1
/2], [-9/4, -9/4], [3, 3]]]], [[2, 13, 3, 9, 1], [v = -2^(1/2), And(1 < u,u <
-v), And(u^2-3 < x,x < -1), -x < y, z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [3, 3], [0, 0]]]], [[2, 15, 4, 8, 1], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [1, 1], [-1, -1]
]]], [[2, 15, 4, 8, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y = 1,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1, -1], [1, 1], [0, 0]]]], [[2, 15, 4, 8, 3], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [1, 1]
, [1, 1]]]], [[3, 1, 5, 9, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3, -3], [-1/2, -1/2], [9, 9], [0, 0]]]], [[3, 3, 3, 5,
1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608
], [-3647693/2097152, -3647693/2097152], [911923/1048576, 911923/1048576], [-2
, -2]]]], [[3, 3, 3, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [911923/
1048576, 911923/1048576], [-7822925/8388608, -1955731/2097152]]]], [[3, 3, 3,
5, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [911923/
1048576, 911923/1048576], [-1/4194304, -1/4194304]]]], [[3, 3, 3, 5, 4], [And(
-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2
-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [911923/1048576, 911923/1048576], [977865/
1048576, 488933/524288]]]], [[3, 3, 3, 5, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152
], [911923/1048576, 911923/1048576], [2, 2]]]], [[3, 7, 5, 6, 1], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [149551/524288, 299103/1048576], [-2, -2]]]], [[3, 7, 5, 6,
2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -
u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [149551/524288, 299103/1048576], [-1374407
/2097152, -687203/1048576]]]], [[3, 7, 5, 6, 3], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [149551/524288, 299103/1048576], [0, 0]]]], [[3, 7
, 5, 6, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 <
x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [149551/524288, 299103/1048576], [687203/
1048576, 171801/262144]]]], [[3, 7, 5, 6, 5], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [
149551/524288, 299103/1048576], [2, 2]]]], [[3, 9, 4, 9, 1], [And(-2^(1/2) < v
,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [
3, 3], [0, 0]]]], [[3, 17, 8, 7, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2)
< u, x = 1, And(0 < y,y < u^2-v^2-2), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [1, 1], [5812145/2097152, 5812145/2097152]
, [0, 0]]]], [[4, 2, 4, 1, 1], [v = -1, u = -3^(1/2), x = -1, y < -2, z < -(1-
y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
1, -1], [-3, -3], [-3, -3]]]], [[4, 2, 4, 1, 2], [v = -1, u = -3^(1/2), x = -1
, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-3, -3], [-2, -2]]]], [[4, 2, 4, 1, 3], [v = -1,
u = -3^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-3,
-3], [0, 0]]]], [[4, 2, 4, 1, 4], [v = -1, u = -3^(1/2), x = -1, y < -2, z = (
1-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[-1, -1], [-3, -3], [2, 2]]]], [[4, 2, 4, 1, 5], [v = -1, u = -3^(1/2), x = -1
, y < -2, (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-3, -3], [3, 3]]]], [[4, 6, 3, 5, 1], [v = -1, u
= -1, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1, -1], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[4, 6, 3, 5, 2]
, [v = -1, u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[4, 6, 3, 5, 3], [v = -1, u = -1, And(-1 < x,x < 0), And(0 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [-1/
2, -1/2], [1/4, 1/4], [0, 0]]]], [[4, 6, 3, 5, 4], [v = -1, u = -1, And(-1 < x
,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1,
-1], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[4, 6, 3, 5, 5], [v = -1, u = -\
1, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1, -1], [-1, -1], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[4, 8, 4, 6, 1], [v =
-1, u = 0, x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [0, 0], [-1, -1],
[1, 1], [-1, -1]]]], [[4, 8, 4, 6, 2], [v = -1, u = 0, x = -1, y = 1, z = 0],
[regular_chain, [[-1, -1], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[4, 8, 4, 6,
3], [v = -1, u = 0, x = -1, y = 1, 0 < z], [regular_chain, [[-1, -1], [0, 0],
[-1, -1], [1, 1], [1, 1]]]], [[4, 14, 1, 4, 1], [v = -1, u = 3^(1/2), x < -3,
y = -x-3, z < -3^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-4, -4], [1, 1], [-3, -3]]]], [[4, 14, 1, 4, 2], [v = -1, u = 3^(1/
2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[-1, -1], [908093/524288
, 1816187/1048576], [-4, -4], [1, 1], [-1816187/1048576, -3632373/2097152]]]],
[[4, 14, 1, 4, 3], [v = -1, u = 3^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z
< 3^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4,
-4], [1, 1], [-1/4194304, -1/4194304]]]], [[4, 14, 1, 4, 4], [v = -1, u = 3^(1
/2), x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[-1, -1], [908093/524288
, 1816187/1048576], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]]], [[4
, 14, 1, 4, 5], [v = -1, u = 3^(1/2), x < -3, y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [1, 1],
[3, 3]]]], [[4, 15, 9, 7, 1], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(
0 < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [3/2, 3
/2], [0, 0]]]], [[5, 4, 5, 6, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(
-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[5, 4, 5, 6, 2], [
And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [-1/2, -1/2]
, [1/2, 1/2], [0, 0]]]], [[5, 4, 5, 6, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1
/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[5, 6,
5, 2, 1], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2], [-2, -2]
]]], [[5, 6, 5, 2, 2], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y = -1-x,
z = -1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-3/2, -3/2]
, [-1, -1]]]], [[5, 6, 5, 2, 3], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1),
y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/
2, 1/2], [-3/2, -3/2], [0, 0]]]], [[5, 6, 5, 2, 4], [And(-1 < v,v < 0), u = v,
And(0 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2
], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[5, 6, 5, 2, 5], [And(-1 < v,v < 0),
u = v, And(0 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/
2, -1/2], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[5, 9, 6, 1, 1], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u
^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [-624419/1048576, -1248837/2097152], [-2, -2], [-3, -3]]]], [[5, 9,
6, 1, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y
< -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-2, -\
2], [-52791/32768, -3378623/2097152]]]], [[5, 9, 6, 1, 3], [And(-1 < v,v < 0),
And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2
-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [-2, -\
2], [-1/4194304, -1/4194304]]]], [[5, 9, 6, 1, 4], [And(-1 < v,v < 0), And(-v
< u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1
/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-2, -2], [1689311/1048576, 52791/32768]]]]
, [[5, 9, 6, 1, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2
-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152],
[-2, -2], [3, 3]]]], [[5, 11, 5, 4, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [0
, 0], [-2, -2]]]], [[5, 11, 5, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [0
, 0], [-1482911/2097152, -741455/1048576]]]], [[5, 11, 5, 4, 3], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, And(
-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [0, 0], [0, 0]]]], [[5, 11, 5, 4, 4], [
And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0)
, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[5, 
11, 5, 4, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1/2, -1/2], [0, 0], [2, 2]]]], [[6, 1, 11, 4,
1], [v = 0, u < -2^(1/2), u^2-1 < x, y = -x, z < 0], [regular_chain, [[0, 0],
[-3, -3], [9, 9], [-9, -9], [-1, -1]]]], [[6, 1, 11, 4, 2], [v = 0, u < -2^(1/
2), u^2-1 < x, y = -x, z = 0], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-9,
-9], [0, 0]]]], [[6, 1, 11, 4, 3], [v = 0, u < -2^(1/2), u^2-1 < x, y = -x, 0
< z], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-9, -9], [1, 1]]]], [[6, 3,
8, 7, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, 0 < y, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [1, 1], [0, 0]]]], [[6, 9, 6, 2, 1], [v = 0, And(1 < u,u < 2^
(1/2)), x = 0, y = -u^2-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288]
, [-3, -3]]]], [[6, 9, 6, 2, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, y = -u
^2-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-410915/262144, -\
3287319/2097152]]]], [[6, 9, 6, 2, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = 0,
y = -u^2-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0
], [1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/
524288], [-1/4194304, -1/4194304]]]], [[6, 9, 6, 2, 4], [v = 0, And(1 < u,u <
2^(1/2)), x = 0, y = -u^2-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288]
, [1643659/1048576, 410915/262144]]]], [[6, 9, 6, 2, 5], [v = 0, And(1 < u,u <
2^(1/2)), x = 0, y = -u^2-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288]
, [3, 3]]]], [[6, 11, 3, 7, 1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), 
And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/
2], [19/2, 19/2], [0, 0]]]], [[7, 3, 9, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,
y < 0), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144],
[1534619/2097152, 1534619/2097152], [-281267/2097152, -281267/2097152], [0, 0]
]]], [[7, 5, 9, 1, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(
0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [-1696631/2097152, -1696631/2097152], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[
7, 5, 9, 1, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x
< 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [1/2, 1/2], [-3, -3], [-3315889/2097152, -\
207243/131072]]]], [[7, 5, 9, 1, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u
,u < -v), And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
1/2, 1/2], [-3, -3], [0, 0]]]], [[7, 5, 9, 1, 4], [And(0 < v,v < 1), And(-(v^2
+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [1/2, 1/2],
[-3, -3], [207243/131072, 1657945/1048576]]]], [[7, 5, 9, 1, 5], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-
y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [1/2, 1/2], [-3, -3], [3, 3]]]], [[8, 1, 3, 6, 1], [v = 1, u < -3^(1
/2), And(-u^2 < x,x < -1), y = -x, z < 0], [regular_chain, [[1, 1], [-3, -3],
[-5, -5], [5, 5], [-1, -1]]]], [[8, 1, 3, 6, 2], [v = 1, u < -3^(1/2), And(-u^
2 < x,x < -1), y = -x, z = 0], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5
, 5], [0, 0]]]], [[8, 1, 3, 6, 3], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1),
y = -x, 0 < z], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [5, 5], [1, 1]]]]
, [[8, 2, 9, 5, 1], [v = 1, u = -3^(1/2), 1 < x, And(-x < y,y < 1-x), z = z],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-3/2,
-3/2], [0, 0]]]], [[8, 7, 3, 3, 1], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x
< -1), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1/2, -1/2], [-11/8, -11/8], [-3/16, -3/16], [-3, -3]]]], [[8, 7, 3, 3, 2], [v
= 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), z = -(-
x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3/16, -3
/16], [-5/4, -5/4]]]], [[8, 7, 3, 3, 3], [v = 1, And(-1 < u,u < 0), And(u^2-2
< x,x < -1), And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3/16, -3/16], [0, 0]]
]], [[8, 7, 3, 3, 4], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(u^
2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-\
11/8, -11/8], [-3/16, -3/16], [5/4, 5/4]]]], [[8, 7, 3, 3, 5], [v = 1, And(-1
< u,u < 0), And(u^2-2 < x,x < -1), And(u^2-x-2 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3/16, -3/16], [3, 3]]
]], [[8, 9, 1, 9, 1], [v = 1, And(0 < u,u < 1), x < u^2-2, -x < y, z = z], [
regular_chain, [[1, 1], [1/2, 1/2], [-3, -3], [4, 4], [0, 0]]]], [[8, 14, 7, 3
, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2]
, [-2, -2], [-3, -3]]]], [[8, 14, 7, 3, 2], [v = 1, u = 3^(1/2), And(0 < x,x <
1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093
/524288, 1816187/1048576], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/
524288]]]], [[8, 14, 7, 3, 3], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(-x-3
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1]
, [908093/524288, 1816187/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[8, 14,
7, 3, 4], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1
/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[8, 14, 7, 3, 5], [v = 1,
u = 3^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-2, -2]
, [3, 3]]]], [[9, 1, 4, 2, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576],
[-4, -4]]]], [[9, 1, 4, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576],
[-1532401/524288, -24518415/8388608]]]], [[9, 1, 4, 2, 3], [And(1 < v,v < 2^(1
/2)), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-1, -1], [-15818595/2097152, -7909297/1048576], [-7/16777216, -7/
16777216]]]], [[9, 1, 4, 2, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3, -3], [-1, -1], [-15818595/2097152, -7909297/1048576], [
3064801/1048576, 1532401/524288]]]], [[9, 1, 4, 2, 5], [And(1 < v,v < 2^(1/2))
, u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-\
15818595/2097152, -7909297/1048576], [4, 4]]]], [[9, 5, 3, 4, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = 0,
z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [0, 0],
[-3, -3]]]], [[9, 5, 3, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [0, 0], [-1164705/1048576, -36397/32768]]]], [
[9, 5, 3, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(
-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [0, 0], [0, 0]]]], [[9, 5,
3, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^
2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [0, 0], [36397/32768, 1164705/1048576]]]], [[9, 5, 3, 4, 5], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x <
-1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [0, 0], [3, 3]]]], [[9, 7, 3, 8, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [673839/524288, 
1347679/1048576], [-1, -1]]]], [[9, 7, 3, 8, 2], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [673839/524288, 
1347679/1048576], [0, 0]]]], [[9, 7, 3, 8, 3], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-2695357/2097152, -2695357/2097152], [673839/524288, 
1347679/1048576], [1, 1]]]], [[9, 9, 10, 4, 1], [And(1 < v,v < 2^(1/2)), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [
[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-1, -1], [-1, -1]]]], [[9
, 9, 10, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1
/2)), x = 1, y = -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1, 1], [-1, -1], [0, 0]]]], [[9, 9, 10, 4, 3], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = -1, 0 < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-1, -1],
[1, 1]]]], [[9, 11, 9, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [-25165819/16777216, -25165819/16777216], [-2, -2
]]]], [[9, 11, 9, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v)
, And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-25165819/16777216, -25165819/16777216], [-33554427/
33554432, -4398045855743/4398046511104]]]], [[9, 11, 9, 3, 3], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,
y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/
2], [-25165819/16777216, -25165819/16777216], [-3538943/8796093022208, -\
3538943/8796093022208]]]], [[9, 11, 9, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^
2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1)
, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [-25165819/16777216, -25165819/
16777216], [1048575/1048576, 1]]]], [[9, 11, 9, 3, 5], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2
+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-25165819/16777216, -\
25165819/16777216], [2, 2]]]], [[9, 15, 11, 8, 1], [And(1 < v,v < 2^(1/2)), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = 0, z = z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2],
[0, 0], [0, 0]]]], [[9, 17, 8, 7, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) <
u, x = 1, And(0 < y,y < u^2-v^2-2), z = z], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [1, 1], [5812145/2097152, 5812145/2097152], [0, 0]]]
], [[10, 5, 10, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(u^2-\
4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [-5295843/4194304, -\
5295843/4194304], [-2, -2]]]], [[10, 5, 10, 5, 2], [v = 2^(1/2), And(-3^(1/2)
< u,u < -v), x = 1, And(u^2-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1
], [-5295843/4194304, -5295843/4194304], [-268683/524288, -1074731/2097152]]]]
, [[10, 5, 10, 5, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(u^2-4
< y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1],
[-5295843/4194304, -5295843/4194304], [-1/4194304, -1/4194304]]]], [[10, 5, 10
, 5, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, And(u^2-4 < y,y < -1),
z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [1, 1], [-5295843/4194304, -5295843/
4194304], [537365/1048576, 268683/524288]]]], [[10, 5, 10, 5, 5], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), x = 1, And(u^2-4 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [-5295843/4194304, -5295843/4194304], [2, 2]]]], [[10, 7, 10
, 9, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [1, 1], [0, 0]]]], [[10, 11, 10, 2, 1], [v = 2^(1/2), And(0
< u,u < 1), x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-15/4, -15/4], [-3, -3]]]], [[
10, 11, 10, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 1, y = u^2-4, z = -(-u^
2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1
, 1], [-15/4, -15/4], [-1738867/1048576, -3477733/2097152]]]], [[10, 11, 10, 2
, 3], [v = 2^(1/2), And(0 < u,u < 1), x = 1, y = u^2-4, And(-(-u^2+3)^(1/2) <
z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/
2, 1/2], [1, 1], [-15/4, -15/4], [-1/4194304, -1/4194304]]]], [[10, 11, 10, 2,
4], [v = 2^(1/2), And(0 < u,u < 1), x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-15/4,
-15/4], [869433/524288, 1738867/1048576]]]], [[10, 11, 10, 2, 5], [v = 2^(1/2)
, And(0 < u,u < 1), x = 1, y = u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-15/4, -15/4], [3, 3]]]]
, [[10, 13, 9, 1, 1], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y < u^
2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[10, 
13, 9, 1, 2], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y < u^2-x-3, z
= -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[10, 13, 9, 1, 3], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x <
1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2
], [-4, -4], [0, 0]]]], [[10, 13, 9, 1, 4], [v = 2^(1/2), And(1 < u,u < v), 
And(0 < x,x < 1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4,
-4], [980853/524288, 1961707/1048576]]]], [[10, 13, 9, 1, 5], [v = 2^(1/2), 
And(1 < u,u < v), And(0 < x,x < 1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[11, 2, 9, 3, 1], [2^(1/2) < v, u
= -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [-7/2, -7
/2], [-3, -3]]]], [[11, 2, 9, 3, 2], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x,
And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [2, 2], [-7/2, -7/2], [-1284239/1048576, -642119/
524288]]]], [[11, 2, 9, 3, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, And(-x
-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [-1738867/524288, -3477733/1048576], [2, 2], [-7/2, -7/2], [0, 0]]]], [[11
, 2, 9, 3, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576
], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[11, 2, 9, 3, 5
], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [-\
7/2, -7/2], [3, 3]]]], [[11, 4, 7, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), 
And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 9,
1, 9, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^
2-1, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-4, -4], [6, 6], [0, 0]]]], [[11, 10, 7, 8, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [
[11, 15, 11, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^
2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [-2, -2]]]], [[
11, 15, 11, 4, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2
+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576], [-735979/1048576
, -1471957/2097152]]]], [[11, 15, 11, 4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2],
[-653431/262144, -2613723/1048576], [-1/4194304, -1/4194304]]]], [[11, 15, 11,
4, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [2, 2], [-653431/262144, -2613723/1048576], [367989/524288, 735979/
1048576]]]], [[11, 15, 11, 4, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v),
1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [2, 2], [-653431/262144, -2613723/1048576],
[2, 2]]]], [[11, 17, 11, 8, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1
< x, y = 0, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
2, 2], [0, 0], [0, 0]]]], [[11, 21, 11, 3, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u
, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [16, 16], [-49/2, -49/2], [-4, -4]]]], [[11, 
21, 11, 3, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [16, 16],
[-49/2, -49/2], [-24456785/8388608, -1528549/524288]]]], [[11, 21, 11, 3, 3],
[2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [16
, 16], [-49/2, -49/2], [0, 0]]]], [[11, 21, 11, 3, 4], [2^(1/2) < v, (v^2+2)^(
1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [16, 16], [-49/2, -49/2], [1528549/524288, 
3057099/1048576]]]], [[11, 21, 11, 3, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[3, 3], [5, 5], [16, 16], [-49/2, -49/2], [4, 4]]]], [[1, 2, 1, 9, 1], [v < -2
^(1/2), u = -(v^2+2)^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [[-3, -3]
, [-1738867/524288, -3477733/1048576], [-4, -4], [6, 6], [0, 0]]]], [[1, 3, 10
, 1, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y <
-u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [1, 1], [-5, -5], [-3, -3]]]], [[1, 3, 10, 1, 2], [v < -2^(
1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -
(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576]
, [1, 1], [-5, -5], [-2, -2]]]], [[1, 3, 10, 1, 3], [v < -2^(1/2), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,
z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [1, 1], [-5, -5], [0, 0]]]], [[1, 3, 10, 1, 4], [v < -2^(1/2), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)
], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1], [-\
5, -5], [2, 2]]]], [[1, 3, 10, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [
[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1], [-5, -5], [3, 3]]]], [
[1, 8, 2, 1, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y < 0, z < -(2-y)^
(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2,
-2], [-1, -1], [-3, -3]]]], [[1, 8, 2, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2
), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/
2097152]]]], [[1, 8, 2, 1, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y <
0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[1, 8, 2, 1, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y <
0, z = (2-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[1, 8, 2,
1, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [-1
, -1], [3, 3]]]], [[1, 9, 11, 7, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < 0), z = z], [regular_chain, [
[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [-391029/524288, -\
391029/524288], [0, 0]]]], [[1, 15, 4, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain
, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-133001/524288, -\
133001/524288], [-3, -3]]]], [[1, 15, 4, 3, 2], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
133001/524288, -133001/524288], [-293517/262144, -1174067/1048576]]]], [[1, 15
, 4, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2
< y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-1, -1], [-133001/524288, -133001/524288]
, [0, 0]]]], [[1, 15, 4, 3, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -1, And(u^2-v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [-133001/524288, -133001/524288],
[1174067/1048576, 293517/262144]]]], [[1, 15, 4, 3, 5], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [-\
133001/524288, -133001/524288], [3, 3]]]], [[1, 17, 4, 7, 1], [v < -2^(1/2), 
And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z < -(1-y)^(1/2
)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [
195745/262144, 195745/262144], [-2, -2]]]], [[1, 17, 4, 7, 2], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2
)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [
195745/262144, 195745/262144], [-527729/1048576, -1055457/2097152]]]], [[1, 17
, 4, 7, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2
< y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [-1, -1], [195745/262144, 195745/262144], [-1/
4194304, -1/4194304]]]], [[1, 17, 4, 7, 4], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1, -1], [195745/262144, 195745/
262144], [32983/65536, 527729/1048576]]]], [[1, 17, 4, 7, 5], [v < -2^(1/2), 
And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/2) < z
], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [
195745/262144, 195745/262144], [2, 2]]]], [[1, 21, 4, 2, 1], [v < -2^(1/2), (v
^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-3, -3], [5, 5], [-1, -1], [-16, -16], [-6, -6]]]], [[1, 21, 4, 2, 2], [v
< -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [5, 5], [-1, -1], [-16, -16], [-2161695/524288, -\
4323389/1048576]]]], [[1, 21, 4, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
-1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [5, 5], [-1, -1], [-16, -16], [0, 0]]]], [[1, 21, 4,
2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [-16, -16], [4323389/
1048576, 2161695/524288]]]], [[1, 21, 4, 2, 5], [v < -2^(1/2), (v^2+2)^(1/2) <
u, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [5
, 5], [-1, -1], [-16, -16], [6, 6]]]], [[2, 1, 9, 8, 1], [v = -2^(1/2), u < -2
, And(1 < x,x < u^2-3), y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [7/2, 7/2], [5/2, 5/2], [0, 0]]]], [[2, 10
, 3, 2, 1], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y = -x-3, z < -3^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-1, -1
], [-3, -3]]]], [[2, 10, 3, 2, 2], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y
= -x-3, z = -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0
, 0], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[2, 10, 3,
2, 3], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y = -x-3, And(-3^(1/2) < z,z
< 3^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2,
-2], [-1, -1], [-1/4194304, -1/4194304]]]], [[2, 10, 3, 2, 4], [v = -2^(1/2),
u = 0, And(-3 < x,x < -1), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-2, -2], [-1, -1], [908093/524288, 1816187/
1048576]]]], [[2, 10, 3, 2, 5], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y =
-x-3, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0
], [-2, -2], [-1, -1], [3, 3]]]], [[2, 11, 11, 1, 1], [v = -2^(1/2), And(0 < u
,u < 1), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [2, 2], [-6, -6], [-3, -3]]]], [[2, 11,
11, 1, 2], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, y < u^2-x-3, z = -(-x-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2],
[-6, -6], [-2, -2]]]], [[2, 11, 11, 1, 3], [v = -2^(1/2), And(0 < u,u < 1), 1
< x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-6, -6], [0, 0]]]], [[
2, 11, 11, 1, 4], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, y < u^2-x-3, z = (-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
2, 2], [-6, -6], [2, 2]]]], [[2, 11, 11, 1, 5], [v = -2^(1/2), And(0 < u,u < 1
), 1 < x, y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [2, 2], [-6, -6], [3, 3]]]], [[2, 16, 3, 5, 1], [
v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[2, 16, 3, 5, 2], [v
= -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/
4194304]]]], [[2, 16, 3, 5, 3], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1)
, And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2,
-3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[2, 16, 3, 5, 4], [v = -2^(1/
2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[2, 
16, 3, 5, 5], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[2, 18,
1, 7, 1], [v = -2^(1/2), u = 2, x < -3, And(-x < y,y < 1-x), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-4, -4], [9/2, 9/
2], [0, 0]]]], [[3, 4, 1, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2)
, x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [1/2
, 1/2], [-3, -3]]]], [[3, 4, 1, 3, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)
^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -\
3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[3, 4, 1, 3, 3], [And(
-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [1/2, 1/2], [0
, 0]]]], [[3, 4, 1, 3, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x <
-2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [1/2, 1/2],
[207243/131072, 1657945/1048576]]]], [[3, 4, 1, 3, 5], [And(-2^(1/2) < v,v < -\
1), u = -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1/2, 1/2], [3, 3]]]], [[3, 5, 11, 2, 1], [And(-2^
(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [2, 2], [-3635965/1048576, -908991/262144]
, [-3, -3]]]], [[3, 5, 11, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2
) < u,u < v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304],
[2, 2], [-3635965/1048576, -908991/262144], [-1270261/1048576, -317565/262144]
]]], [[3, 5, 11, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-3635965/1048576, -908991/262144], [0, 0]]]], [[3,
5, 11, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x,
y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-3635965/
1048576, -908991/262144], [317565/262144, 1270261/1048576]]]], [[3, 5, 11, 2,
5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y = -u^2+
v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-3635965/1048576, -\
908991/262144], [3, 3]]]], [[3, 10, 3, 6, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/
2, 3/2], [-1, -1]]]], [[3, 10, 3, 6, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1
)^(1/2), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/
2, 3/2], [0, 0]]]], [[3, 10, 3, 6, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^
(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/2, 3/2],
[1, 1]]]], [[3, 12, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y < 0
, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[3, 12, 2
, 1, 2], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y < 0, z = -(1-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [
[3, 12, 2, 1, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y < 0, And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [-1, -1], [0, 0]]]], [
[3, 12, 2, 1, 4], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y < 0, z = (1-y)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576
]]]], [[3, 12, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y < 0, (1-
y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743
/1048576, 1265743/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[3, 15, 3, 1, 1],
[And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/
2097152, -3647693/2097152], [-2, -2], [-3, -3]]]], [[3, 15, 3, 1, 2], [And(-2^
(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-3647693/2097152,
-3647693/2097152], [-2, -2], [-16221399/8388608, -8110699/4194304]]]], [[3, 15
, 3, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-2, -2], [-3/
8388608, -3/8388608]]]], [[3, 15, 3, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152], [-2, -2],
[1013837/524288, 2027675/1048576]]]], [[3, 15, 3, 1, 5], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y <
-u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-3647693/2097152, -3647693/2097152]
, [-2, -2], [3, 3]]]], [[3, 16, 8, 7, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+
2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [1, 1], [0, 0]]]], [[4, 3,
5, 9, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), u^2-x-2
< y, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304],
[-1/2, -1/2], [2, 2], [0, 0]]]], [[4, 5, 4, 8, 1], [v = -1, And(-2^(1/2) < u,u
< -1), x = -1, y = 1, z < 0], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[4, 5, 4, 8, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), x = -1, y = 1, z = 0], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[4, 5, 4, 8,
3], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y = 1, 0 < z], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [1, 1], [1, 1]]]],
[[4, 11, 4, 7, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(u^2-1 < y,y <
1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1, -1], [1527887/2097152, 1527887/2097152], [-2, -2]]]], [[4, 11,
4, 7, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(u^2-1 < y,y < 1), z = -
(1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [
-1, -1], [1527887/2097152, 1527887/2097152], [-273157/524288, -1092627/2097152
]]]], [[4, 11, 4, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(u^2-1 <
y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1, -1], [1527887/2097152, 1527887/2097152
], [-1/4194304, -1/4194304]]]], [[4, 11, 4, 7, 4], [v = -1, And(1 < u,u < 2^(1
/2)), x = -1, And(u^2-1 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1
], [1265743/1048576, 1265743/1048576], [-1, -1], [1527887/2097152, 1527887/
2097152], [546313/1048576, 273157/524288]]]], [[4, 11, 4, 7, 5], [v = -1, And(
1 < u,u < 2^(1/2)), x = -1, And(u^2-1 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [
1527887/2097152, 1527887/2097152], [2, 2]]]], [[4, 13, 3, 6, 1], [v = -1, And(
2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = -x, z < 0], [regular_chain
, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/
2097152], [910883/524288, 1821767/1048576], [-1, -1]]]], [[4, 13, 3, 6, 2], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [910883/524288, 1821767/1048576], [0, 0]]]], [[4,
13, 3, 6, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y =
-x, 0 < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-\
3643533/2097152, -3643533/2097152], [910883/524288, 1821767/1048576], [1, 1]]]
], [[5, 1, 9, 6, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2
-v^2-1), y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8],
[0, 0], [0, 0]]]], [[5, 3, 6, 5, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 0, And(0 < y,y < u^2-v^2-1), z = z], [regular_chain
, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [243021/1048576, 
243021/1048576], [0, 0]]]], [[5, 12, 3, 6, 1], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [3/
2, 3/2], [-2, -2], [2, 2], [-1, -1]]]], [[5, 12, 3, 6, 2], [And(-1 < v,v < 0),
u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [-2, -2], [2, 2], [0, 0]]]], [[5, 12, 3, 6, 3], [And(-1 < v
,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain
, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [2, 2], [1, 1]]]], [[5, 13, 11, 5, 1],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-x < y,y < u^2-v^2-x
-1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-41/8, -41/8], [0
, 0]]]], [[6, 4, 8, 3, 1], [v = 0, u = -1, x = 1, And(-3 < y,y < -1), z < -(-y
-1)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-2, -2], [-2, -2]]]],
[[6, 4, 8, 3, 2], [v = 0, u = -1, x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)
], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-2, -2], [-1, -1]]]], [[6, 4, 8
, 3, 3], [v = 0, u = -1, x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-2, -2], [0, 0]]]]
, [[6, 4, 8, 3, 4], [v = 0, u = -1, x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2
)], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-2, -2], [1, 1]]]], [[6, 4, 8,
3, 5], [v = 0, u = -1, x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[0, 0], [-1, -1], [1, 1], [-2, -2], [2, 2]]]], [[6, 6, 6, 7, 1
], [v = 0, u = 0, x = 1, 0 < y, z = z], [regular_chain, [[0, 0], [0, 0], [1, 1
], [1, 1], [0, 0]]]], [[7, 1, 1, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/
2], [-3, -3], [-11, -11], [119/8, 119/8], [0, 0]]]], [[7, 2, 7, 6, 1], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[7,
7, 1, 4, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = u^2-v^2-
x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3],
[7/4, 7/4], [-3, -3]]]], [[7, 7, 1, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v
), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [0, 0], [-3, -3], [7/4, 7/4], [-146543/131072, -1172343/1048576]]]
], [[7, 7, 1, 4, 3], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y =
u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [7/4, 7/4], [0, 0]]]], [[7, 7, 1
, 4, 4], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = u^2-v^2-x-1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [7/4,
7/4], [1172343/1048576, 146543/131072]]]], [[7, 7, 1, 4, 5], [And(0 < v,v < 1)
, And(-v < u,u < v), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [7/4, 7/4], [3, 3]]]], [[7, 9,
1, 8, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y =
-x, z < 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [
-3, -3], [3, 3], [-1, -1]]]], [[7, 9, 1, 8, 2], [And(0 < v,v < 1), And(v < u,u
< (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-3, -3], [3, 3], [0, 0]]]], [[7, 9, 1, 8,
3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, 0
< z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-3, -3
], [3, 3], [1, 1]]]], [[7, 11, 8, 1, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [243021/
524288, 486043/1048576], [-4, -4], [-3, -3]]]], [[7, 11, 8, 1, 2], [And(0 < v,
v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*
v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [243021/524288, 486043/1048576], [-4, -4], [-7887605/4194304,
-15775209/8388608]]]], [[7, 11, 8, 1, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(
1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [243021/524288, 486043/1048576], [-4, -4], [-1/
16777216, -1/16777216]]]], [[7, 11, 8, 1, 4], [And(0 < v,v < 1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
243021/524288, 486043/1048576], [-4, -4], [1971901/1048576, 985951/524288]]]],
[[7, 11, 8, 1, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [243021/524288, 486043/1048576],
[-4, -4], [3, 3]]]], [[7, 13, 5, 4, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3
], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[7, 13, 5, 4, 2], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [3, 3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]
]], [[7, 13, 5, 4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3
, 3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[7, 13, 5, 4, 4], [And(0 < v,v < 1), (
v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [
[1/2, 1/2], [3, 3], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[
7, 13, 5, 4, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y =
0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [0, 0],
[2, 2]]]], [[8, 3, 11, 4, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y
= -x, z < 0], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [
2, 2], [-2, -2], [-1, -1]]]], [[8, 3, 11, 4, 2], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[1, 1], [-6598195/4194304,
-6598195/4194304], [2, 2], [-2, -2], [0, 0]]]], [[8, 3, 11, 4, 3], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [
-6598195/4194304, -6598195/4194304], [2, 2], [-2, -2], [1, 1]]]], [[8, 5, 10,
7, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-1/2, -\
1/2], [0, 0]]]], [[8, 11, 9, 9, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,
x < 1), 0 < y, z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[8, 13, 9, 3, 1], [v = 1, And(2^(1/2
) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [-4141339/2097152, -4141339/2097152], [-3, -3]]]], [
[8, 13, 9, 3, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1),
And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-4141339/2097152
, -4141339/2097152], [-1166407/1048576, -583203/524288]]]], [[8, 13, 9, 3, 3],
[v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-4141339
/2097152, -4141339/2097152], [0, 0]]]], [[8, 13, 9, 3, 4], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/
1048576, 773191/1048576], [-4141339/2097152, -4141339/2097152], [583203/524288
, 1166407/1048576]]]], [[8, 13, 9, 3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2))
, And(u^2-2 < x,x < 1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [773191/1048576, 
773191/1048576], [-4141339/2097152, -4141339/2097152], [3, 3]]]], [[9, 2, 4, 1
, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152
, -7798593/4194304], [-1, -1], [-3, -3], [-3, -3]]]], [[9, 2, 4, 1, 2], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-3, -3], [-2, -2]]]], [[9, 2, 4, 1, 3], [And(1 <
v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [-3, -3], [0, 0]]]], [[9, 2, 4, 1, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-3, -3], [2, 2]]]], [[9, 2, 4, 1, 5], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [-3, -3], [3, 3]]]], [[9, 4, 1, 4, 1], [And(1 < v,
v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3, -3], [1, 1], [-3, -3]]]], [[9, 4, 1, 4, 2], [And(1 < v,v < 2^(1
/2)), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [1, 1], [-1482911/1048576, -741455/524288]]]], [[9, 4, 1, 4, 3], [And(1 < v
,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1, 1], [0, 0]]]], [[9, 4, 1, 4, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3
, -3], [1, 1], [741455/524288, 1482911/1048576]]]], [[9, 4, 1, 4, 5], [And(1 <
v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/
2097152], [-3, -3], [1, 1], [3, 3]]]], [[9, 13, 1, 6, 1], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2
+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3, -3], [2587387/1048576, 646847/262144], [-2, -2
]]]], [[9, 13, 1, 6, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2))
, x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -\
3], [2587387/1048576, 646847/262144], [-765155/1048576, -1530309/2097152]]]],
[[9, 13, 1, 6, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x <
-u^2+v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [2587387/1048576, 646847/262144], [-1/4194304, -1/
4194304]]]], [[9, 13, 1, 6, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [2587387/1048576, 646847/262144], [382577/524288, 765155/
1048576]]]], [[9, 13, 1, 6, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3, -3], [2587387/1048576, 646847/262144], [2, 2]]]], [[9, 14, 9, 7
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [2, 2], [1, 1], [0, 0]]]], [[10, 1, 6, 7, 1], [v = 2^(1/2), u < -2, x
= 0, u^2-3 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3
, -3], [0, 0], [7, 7], [0, 0]]]], [[10, 3, 4, 3, 1], [v = 2^(1/2), And(-2 < u,
u < -3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [-1554043/2097152, -1554043/2097152], [-3, -3]]]], [[10, 3
, 4, 3, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(-u^2+2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [-1383575/1048576, -691787/524288]]]], [[10, 3, 4, 3, 3], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [0, 0]]]], [[10, 3, 4, 3, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, x = -1, And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [-\
1554043/2097152, -1554043/2097152], [691787/524288, 1383575/1048576]]]], [[10,
3, 4, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(-u^2+2 < y,y
< 0), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [-1554043/2097152, -1554043/
2097152], [3, 3]]]], [[10, 9, 1, 7, 1], [v = 2^(1/2), And(-1 < u,u < 0), x < u
^2-3, And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-4, -4], [35/8, 35/8], [0, 0]]]], [[10, 10, 8
, 1, 1], [v = 2^(1/2), u = 0, x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-5, -5], [-\
3, -3]]]], [[10, 10, 8, 1, 2], [v = 2^(1/2), u = 0, x = 1, y < -4, z = -(-y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-\
5, -5], [-2, -2]]]], [[10, 10, 8, 1, 3], [v = 2^(1/2), u = 0, x = 1, y < -4, 
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [1, 1], [-5, -5], [0, 0]]]], [[10, 10, 8, 1, 4], [v
= 2^(1/2), u = 0, x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [1, 1], [-5, -5], [2, 2]]]], [[10, 10, 8, 1,
5], [v = 2^(1/2), u = 0, x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [1, 1], [-5, -5], [3, 3]]]], [[10, 15
, 1, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = u^2-x-3, z <
-(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-3, -3], [2594957/1048576, 1297479/524288], [-2, -\
2]]]], [[10, 15, 1, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y
= u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [2594957/1048576, 
1297479/524288], [-1519901/2097152, -379975/524288]]]], [[10, 15, 1, 6, 3], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = u^2-x-3, And(-(-u^2+3)^(1/2
) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-3, -3], [2594957/1048576, 1297479/524288
], [0, 0]]]], [[10, 15, 1, 6, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u
^2+1, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [2594957/
1048576, 1297479/524288], [379975/524288, 759951/1048576]]]], [[10, 15, 1, 6,
5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, y = u^2-x-3, (-u^2+3)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-3, -3], [2594957/1048576, 1297479/524288], [2, 2]]]], [[10
, 16, 9, 7, 1], [v = 2^(1/2), u = 3^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [2, 2], [1, 1], [0, 0]]]], [[10, 19, 4, 9, 1], [v = 2^(1/2), 2 < u,
x = -1, u^2-2 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-1, -1], [8, 8], [0, 0]]]], [[11, 1, 11, 3, 1], [2^(1/2) < v, u < -(v
^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-5, -5], [16, 16], [-49/2, -49/2], [-4, -4]]]], [[11
, 1, 11, 3, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-
x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 
16], [-49/2, -49/2], [-24456785/8388608, -1528549/524288]]]], [[11, 1, 11, 3,
3], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-5, -\
5], [16, 16], [-49/2, -49/2], [0, 0]]]], [[11, 1, 11, 3, 4], [2^(1/2) < v, u <
-(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-5, -5], [16, 16], [-49/2, -49/2], [1528549/524288
, 3057099/1048576]]]], [[11, 1, 11, 3, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), u
^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [-5, -5], [16, 16], [-49/2, -49/2], [4, 4]]]], [[11, 5, 10, 1, 1], [2
^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y < -u^2+v^2-2, z < -(-y-1)
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-\
4, -4], [-3, -3]]]], [[11, 5, 10, 1, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,
u < -v), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [1, 1], [-4, -4], [-1816187/1048576, -3632373
/2097152]]]], [[11, 5, 10, 1, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v)
, x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-4, -4], [-\
1/4194304, -1/4194304]]]], [[11, 5, 10, 1, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2
) < u,u < -v), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[11, 5, 10, 1, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,
u < -v), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1, 1], [-4, -4], [3, 3]]]], [[11, 7, 10, 9, 1
], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [1, 1],
[0, 0]]]], [[11, 13, 3, 3, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/
524288, -919691/524288], [-395403/1048576, -395403/1048576], [-3, -3]]]], [[11
, 13, 3, 3, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^
2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-395403/1048576, -395403/1048576], [-765399/524288, -1530797/
1048576]]]], [[11, 13, 3, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [-395403/1048576, -395403/
1048576], [0, 0]]]], [[11, 13, 3, 3, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
919691/524288, -919691/524288], [-395403/1048576, -395403/1048576], [1530797/
1048576, 765399/524288]]]], [[11, 13, 3, 3, 5], [2^(1/2) < v, And((v^2-2)^(1/2
) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [-919691/524288, -919691/524288], [-395403/1048576, -395403/1048576], [3, 3
]]]], [[11, 15, 2, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-
v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [133001
/131072, 1064009/1048576], [-2, -2]]]], [[11, 15, 2, 4, 2], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1
/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/
2097152, -395145/262144], [133001/131072, 1064009/1048576], [-735979/1048576,
-1471957/2097152]]]], [[11, 15, 2, 4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,
u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [133001/131072, 1064009/1048576], [-1/
4194304, -1/4194304]]]], [[11, 15, 2, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [133001/131072, 1064009/1048576], [367989/524288, 735979/
1048576]]]], [[11, 15, 2, 4, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
= u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [
133001/131072, 1064009/1048576], [2, 2]]]], [[11, 19, 4, 7, 1], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(1 < y,y < u^2-v^2), z =
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [
653799/524288, 653799/524288], [0, 0]]]], [[11, 21, 2, 1, 1], [2^(1/2) < v, (v
^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-17, -17], [-1, -1], [-6, -6]]]], [[11, 21, 2
, 1, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z = -(u^2-v^2
-y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-17, -17], [-1, -1], [-1112183
/262144, -4448731/1048576]]]], [[11, 21, 2, 1, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/
2))], [regular_chain, [[3, 3], [5, 5], [-17, -17], [-1, -1], [0, 0]]]], [[11,
21, 2, 1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y < 0, z = (u^2
-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-17, -17], [-1, -1], [
4448731/1048576, 1112183/262144]]]], [[11, 21, 2, 1, 5], [2^(1/2) < v, (v^2+2)
^(1/2) < u, x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [
[3, 3], [5, 5], [-17, -17], [-1, -1], [6, 6]]]], [[1, 5, 1, 2, 1], [v < -2^(1/
2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [0, 0],
[-3, -3]]]], [[1, 5, 1, 2, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152
]]]], [[1, 5, 1, 2, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2
+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3]
, [-403851/131072, -403851/131072], [-3, -3], [0, 0], [-1/4194304, -1/4194304]
]]], [[1, 5, 1, 2, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+
v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[1, 5,
1, 2, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = 0,
(-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-3, -3], [0, 0], [3, 3]]]], [[1, 7, 1, 6, 1], [v < -2^(1/2), And(v < u,u < -(
v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [
657289/262144, 2629157/1048576], [-2, -2]]]], [[1, 7, 1, 6, 2], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
3, -3], [657289/262144, 2629157/1048576], [-735979/1048576, -1471957/2097152]]
]], [[1, 7, 1, 6, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^
2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [
657289/262144, 2629157/1048576], [-1/4194304, -1/4194304]]]], [[1, 7, 1, 6, 4]
, [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-\
1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3, -3], [657289/262144, 2629157/1048576], [367989/524288,
735979/1048576]]]], [[1, 7, 1, 6, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [657289/262144, 
2629157/1048576], [2, 2]]]], [[1, 11, 1, 1, 1], [v < -2^(1/2), And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-11, -11], [-1, -1], [-5, -5]]]], [[1, 11,
1, 1, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^
2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11],
[-1, -1], [-1816187/524288, -3632373/1048576]]]], [[1, 11, 1, 1, 3], [v < -2^(
1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-11, -\
11], [-1, -1], [0, 0]]]], [[1, 11, 1, 1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-11, -11], [-1, -1], [3632373/1048576, 
1816187/524288]]]], [[1, 11, 1, 1, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u
< (v^2-2)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-\
3, -3], [0, 0], [-11, -11], [-1, -1], [5, 5]]]], [[1, 12, 6, 7, 1], [v < -2^(1
/2), u = (v^2-2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [0, 0], [2, 2], [0, 0]]]], [[1, 18, 3, 5, 1], [v
< -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2,
-3/2], [3/4, 3/4], [-2, -2]]]], [[1, 18, 3, 5, 2], [v < -2^(1/2), u = (v^2+1)^
(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3/4,
3/4], [-1816187/2097152, -3632373/4194304]]]], [[1, 18, 3, 5, 3], [v < -2^(1/2
), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[1, 18, 3, 5
, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[1, 18, 3, 5, 5
], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [
-3/2, -3/2], [3/4, 3/4], [2, 2]]]], [[1, 20, 1, 7, 1], [v < -2^(1/2), u = (v^2
+2)^(1/2), x < -3, And(-x < y,y < 1-x), z = z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-4, -4], [9/2, 9/2], [0, 0]]]], [[2, 2, 8,
2, 1], [v = -2^(1/2), u = -2, x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-4, -4], [-3, -3]]]], [[
2, 2, 8, 2, 2], [v = -2^(1/2), u = -2, x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-4, -4]
, [-1816187/1048576, -3632373/2097152]]]], [[2, 2, 8, 2, 3], [v = -2^(1/2), u
= -2, x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[2, 2, 8, 2, 4], [v = -2^(1/2), u = -2, x = 1, y = -4, z = 3^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-\
4, -4], [908093/524288, 1816187/1048576]]]], [[2, 2, 8, 2, 5], [v = -2^(1/2),
u = -2, x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [1, 1], [-4, -4], [3, 3]]]], [[2, 4, 6, 2, 1], [v =
-2^(1/2), u = -3^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [0, 0]
, [-2, -2], [-3, -3]]]], [[2, 4, 6, 2, 2], [v = -2^(1/2), u = -3^(1/2), x = 0,
y = -2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [0, 0], [-2, -2], [-1482911/1048576, -\
741455/524288]]]], [[2, 4, 6, 2, 3], [v = -2^(1/2), u = -3^(1/2), x = 0, y = -\
2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1816187/1048576, -3632373/2097152], [0, 0], [-2, -2], [0, 0]]]], [
[2, 4, 6, 2, 4], [v = -2^(1/2), u = -3^(1/2), x = 0, y = -2, z = 2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[2,
4, 6, 2, 5], [v = -2^(1/2), u = -3^(1/2), x = 0, y = -2, 2^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-2, -2], [3, 3]]]], [[2, 7, 5, 9, 1], [v = -2^(1/2)
, And(v < u,u < -1), And(-1 < x,x < -u^2+1), -x < y, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [2, 2], [0, 0]]]], [[2, 9, 4, 8, 1], [v =
-2^(1/2), And(-1 < u,u < 0), x = -1, y = -u^2+2, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [7/4, 7/4], [0, 0]]]
], [[2, 13, 4, 3, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(u^2-2 < y,
y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1265743/1048576, 1265743/1048576], [-1, -1], [-569265/2097152, -569265/
2097152], [-3, -3]]]], [[2, 13, 4, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), x
= -1, And(u^2-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
569265/2097152, -569265/2097152], [-591179/524288, -1182357/1048576]]]], [[2,
13, 4, 3, 3], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(u^2-2 < y,y < 0),
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-569265/2097152
, -569265/2097152], [0, 0]]]], [[2, 13, 4, 3, 4], [v = -2^(1/2), And(1 < u,u <
-v), x = -1, And(u^2-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [-569265/2097152, -569265/2097152], [1182357/1048576, 591179/524288]]]], [[2
, 13, 4, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(u^2-2 < y,y < 0)
, (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1, -1], [-569265/2097152, -569265/2097152
], [3, 3]]]], [[2, 15, 4, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -\
1, And(u^2-2 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [773191/
1048576, 773191/1048576], [-2, -2]]]], [[2, 15, 4, 7, 2], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = -1, And(u^2-2 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1, -1], [773191/1048576, 773191/1048576], [-268683/524288, -\
1074731/2097152]]]], [[2, 15, 4, 7, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x = -1, And(u^2-2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1, -1], [773191/1048576, 773191/1048576], [-1/4194304, -1/4194304]
]]], [[2, 15, 4, 7, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(u^
2-2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-1, -1], [773191/1048576, 773191
/1048576], [537365/1048576, 268683/524288]]]], [[2, 15, 4, 7, 5], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), x = -1, And(u^2-2 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1, -1], [773191/1048576, 773191/1048576], [2, 2]]]], [[3, 1, 6, 1,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, z <
-(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3],
[0, 0], [-10, -10], [-5, -5]]]], [[3, 1, 6, 1, 2], [And(-2^(1/2) < v,v < -1),
u < -(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [-10, -10], [-3315889/
1048576, -207243/65536]]]], [[3, 1, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u < -
(v^2+2)^(1/2), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [-10,
-10], [0, 0]]]], [[3, 1, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/
2), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3, -3], [0, 0], [-10, -10], [207243/65536, 3315889/
1048576]]]], [[3, 1, 6, 1, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [0, 0], [-10, -10], [5, 5]]]], [[3, 3, 3, 2, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2
+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-3647693/2097152, -3647693/2097152], [-1550543/2097152, -775271/1048576], [-3
, -3]]]], [[3, 3, 3, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v
^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-\
1550543/2097152, -775271/1048576], [-3301741/2097152, -825435/524288]]]], [[3,
3, 3, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152
], [-1550543/2097152, -775271/1048576], [0, 0]]]], [[3, 3, 3, 2, 4], [And(-2^(
1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [-1550543/2097152, -775271/1048576], [
825435/524288, 1650871/1048576]]]], [[3, 3, 3, 2, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -\
3647693/2097152], [-1550543/2097152, -775271/1048576], [3, 3]]]], [[3, 7, 5, 9
, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x <
-u^2+v^2-1), -x < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [2, 2], [0, 0]]]], [[3, 9, 4, 8, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [
763943/524288, 1527887/1048576], [0, 0]]]], [[3, 17, 9, 1, 1], [And(-2^(1/2) <
v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[7909297/2097152, 7909297/2097152], [-14, -14], [-5, -5]]]], [[3, 17, 9, 1, 2]
, [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y <
-u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-14, -14], [-104799/
32768, -3353567/1048576]]]], [[3, 17, 9, 1, 3], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [7909297/2097152, 7909297/2097152], [-14, -14], [0, 0]]]], [[3, 17, 9,
1, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-14, -14], [
3353567/1048576, 104799/32768]]]], [[3, 17, 9, 1, 5], [And(-2^(1/2) < v,v < -1
), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/
2097152, 7909297/2097152], [-14, -14], [5, 5]]]], [[4, 2, 3, 9, 1], [v = -1, u
= -3^(1/2), And(-3 < x,x < -1), 1-x < y, z = z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [4, 4], [0, 0]]]], [[4, 6, 3, 6,
1], [v = -1, u = -1, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1,
-1], [-1, -1], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[4, 6, 3, 6, 2], [v = -\
1, u = -1, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1, -1], [-1,
-1], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[4, 6, 3, 6, 3], [v = -1, u = -1, 
And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1, -1], [-1, -1], [-1/2,
-1/2], [1/2, 1/2], [1, 1]]]], [[4, 8, 4, 3, 1], [v = -1, u = 0, x = -1, And(-1
< y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [-\
1/2, -1/2], [-3, -3]]]], [[4, 8, 4, 3, 2], [v = -1, u = 0, x = -1, And(-1 < y,
y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1/2,
-1/2], [-1284239/1048576, -642119/524288]]]], [[4, 8, 4, 3, 3], [v = -1, u = 0
, x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[4, 8, 4
, 3, 4], [v = -1, u = 0, x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[4, 8, 4, 3, 5], [v = -1, u = 0, x = -1, And(-1 < y,y <
0), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [-1/2, -1/2
], [3, 3]]]], [[4, 14, 1, 7, 1], [v = -1, u = 3^(1/2), x < -3, And(-x < y,y <
1-x), z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4
, -4], [9/2, 9/2], [0, 0]]]], [[4, 15, 9, 6, 1], [v = -1, 3^(1/2) < u, And(1 <
x,x < u^2-2), y = 0, z = z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [0, 0]
, [0, 0]]]], [[5, 4, 5, 7, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(-1
< x,x < 0), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[5, 6, 4, 4, 1], [And(-1 <
v,v < 0), u = v, x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/2], [-1/2, -\
1/2], [0, 0], [0, 0], [-1, -1]]]], [[5, 6, 4, 4, 2], [And(-1 < v,v < 0), u = v
, x = 0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [
0, 0], [0, 0]]]], [[5, 6, 4, 4, 3], [And(-1 < v,v < 0), u = v, x = 0, y = 0, 0
< z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [0, 0], [1, 1]]]],
[[5, 9, 6, 4, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v
^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0], [-2,
-2]]]], [[5, 9, 6, 4, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0]
, [-1618333/2097152, -3236665/4194304]]]], [[5, 9, 6, 4, 3], [And(-1 < v,v < 0
), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2
) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0], [-1/
8388608, -1/8388608]]]], [[5, 9, 6, 4, 4], [And(-1 < v,v < 0), And(-v < u,u <
(v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [0, 0], [404583/524288, 809167/1048576]]]], [[5, 9, 6, 4, 5], [And(-\
1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152
], [-624419/1048576, -1248837/2097152], [0, 0], [2, 2]]]], [[5, 11, 5, 3, 1],
[And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0
), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-32942499/33554432, -\
32942499/33554432], [-3, -3]]]], [[5, 11, 5, 3, 2], [And(-1 < v,v < 0), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [-\
159551/131072, -1276407/1048576]]]], [[5, 11, 5, 3, 3], [And(-1 < v,v < 0), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1
< y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-32942499/33554432, -\
32942499/33554432], [0, 0]]]], [[5, 11, 5, 3, 4], [And(-1 < v,v < 0), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [1276407/
1048576, 159551/131072]]]], [[5, 11, 5, 3, 5], [And(-1 < v,v < 0), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0),
(-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1/2, -1/2], [-32942499/33554432, -32942499/33554432], [3, 3]]]], [[
6, 1, 11, 5, 1], [v = 0, u < -2^(1/2), u^2-1 < x, And(-x < y,y < u^2-x-1), z =
z], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-5, -5], [0, 0]]]], [[6, 3, 8,
4, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y = -u^2+1, z < 0], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [-479311/1048576, -239655/524288], [-1, -1]]]], [[6, 3, 8, 4,
2], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y = -u^2+1, z = 0], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [-479311/1048576, -239655/524288], [0, 0]]]], [[6, 3, 8, 4, 3
], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y = -u^2+1, 0 < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [-479311/1048576, -239655/524288], [1, 1]]]], [[6, 9, 6, 5, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, And(0 < y,y < u^2-1), z = z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0, 0], [239655/
1048576, 239655/1048576], [0, 0]]]], [[6, 11, 3, 6, 1], [v = 0, 2^(1/2) < u, 
And(-u^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[0, 0], [3, 3], [-11/
2, -11/2], [11/2, 11/2], [-1, -1]]]], [[6, 11, 3, 6, 2], [v = 0, 2^(1/2) < u,
And(-u^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[0, 0], [3, 3], [-11/
2, -11/2], [11/2, 11/2], [0, 0]]]], [[6, 11, 3, 6, 3], [v = 0, 2^(1/2) < u, 
And(-u^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[0, 0], [3, 3], [-11/
2, -11/2], [11/2, 11/2], [1, 1]]]], [[7, 3, 9, 8, 1], [And(0 < v,v < 1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = 0, z = z]
, [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [0, 0], [0, 0]]]], [[7, 5, 8, 5, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), z < -(-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0
, 0], [-1248837/4194304, -1248837/4194304], [-2, -2]]]], [[7, 5, 8, 5, 2], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y <
0), z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631
/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [-1144335/2097152, -\
572167/1048576]]]], [[7, 5, 8, 5, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2)
)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0],
[-1248837/4194304, -1248837/4194304], [0, 0]]]], [[7, 5, 8, 5, 4], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, And(u^2-v^2-1 < y,y < 0), z = (
-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[0, 0], [-1248837/4194304, -1248837/4194304], [572167/1048576, 71521/131072]]]
], [[7, 5, 8, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0,
And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [0, 0], [-1248837/4194304, -1248837/
4194304], [2, 2]]]], [[8, 1, 3, 3, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x <
-1), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3,
-3], [-5, -5], [-2, -2], [-4, -4]]]], [[8, 1, 3, 3, 2], [v = 1, u < -3^(1/2),
And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [-2, -2], [-5548543/2097152, -\
2774271/1048576]]]], [[8, 1, 3, 3, 3], [v = 1, u < -3^(1/2), And(-u^2 < x,x <
-1), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [-5, -5], [-2, -2], [0, 0]]]], [[8, 1, 3, 3,
4], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = (-x
-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [-2, -2], [2774271/
1048576, 10837/4096]]]], [[8, 1, 3, 3, 5], [v = 1, u < -3^(1/2), And(-u^2 < x,
x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
3, -3], [-5, -5], [-2, -2], [4, 4]]]], [[8, 2, 9, 6, 1], [v = 1, u = -3^(1/2),
1 < x, y = 1-x, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [2, 2], [-1, -1], [0, 0]]]], [[8, 7, 3, 2, 1], [v = 1, And(-1 < u,u
< 0), And(u^2-2 < x,x < -1), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain
, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3/8, -3/8], [-3, -3]]]], [[8, 7, 3,
2, 2], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = u^2-x-2, z = -(-u
^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3/8, -3
/8], [-10837/8192, -1387135/1048576]]]], [[8, 7, 3, 2, 3], [v = 1, And(-1 < u,
u < 0), And(u^2-2 < x,x < -1), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+
2)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3/8, -3/8
], [0, 0]]]], [[8, 7, 3, 2, 4], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -\
1), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [
-11/8, -11/8], [-3/8, -3/8], [1387135/1048576, 10837/8192]]]], [[8, 7, 3, 2, 5
], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = u^2-x-2, (-u^2+2)^(1/
2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-3/8, -3/8],
[3, 3]]]], [[8, 9, 2, 3, 1], [v = 1, And(0 < u,u < 1), x = u^2-2, And(0 < y,y
< -2*u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-7/
4, -7/4], [3/4, 3/4], [-2, -2]]]], [[8, 9, 2, 3, 2], [v = 1, And(0 < u,u < 1),
x = u^2-2, And(0 < y,y < -2*u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[
1, 1], [1/2, 1/2], [-7/4, -7/4], [3/4, 3/4], [-1, -1]]]], [[8, 9, 2, 3, 3], [v
= 1, And(0 < u,u < 1), x = u^2-2, And(0 < y,y < -2*u^2+2), And(-(-u^2-y+2)^(1/
2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/
4], [3/4, 3/4], [0, 0]]]], [[8, 9, 2, 3, 4], [v = 1, And(0 < u,u < 1), x = u^2
-2, And(0 < y,y < -2*u^2+2), z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [
1/2, 1/2], [-7/4, -7/4], [3/4, 3/4], [1, 1]]]], [[8, 9, 2, 3, 5], [v = 1, And(
0 < u,u < 1), x = u^2-2, And(0 < y,y < -2*u^2+2), (-u^2-y+2)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [3/4, 3/4], [2, 2]]]], [[8,
14, 6, 7, 1], [v = 1, u = 3^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[1,
1], [908093/524288, 1816187/1048576], [0, 0], [2, 2], [0, 0]]]], [[9, 1, 4, 3,
1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [-1, -1], [-7909297/2097152, -7909297/2097152], [-4, -4]]]], [[9, 1, 4
, 3, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y
,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3, -3], [-1, -1], [-7909297/2097152, -7909297/2097152], [-286309/131072,
-2290471/1048576]]]], [[9, 1, 4, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^
(1/2), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [-\
7909297/2097152, -7909297/2097152], [0, 0]]]], [[9, 1, 4, 3, 4], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1],
[-7909297/2097152, -7909297/2097152], [2290471/1048576, 286309/131072]]]], [[9
, 1, 4, 3, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v
^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [-7909297/2097152, -7909297/2097152], [4, 4]]]],
[[9, 5, 3, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And
(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-122559/1048576, -122559/
1048576], [-3, -3]]]], [[9, 5, 3, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)
^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-122559
/1048576, -122559/1048576], [-609313/524288, -1218625/1048576]]]], [[9, 5, 3,
3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1
< x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-646847/524288, -646847/524288], [-122559/1048576, -122559
/1048576], [0, 0]]]], [[9, 5, 3, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-122559
/1048576, -122559/1048576], [1218625/1048576, 609313/524288]]]], [[9, 5, 3, 3,
5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 <
x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [-122559/1048576, -122559/1048576], [3, 3]]]],
[[9, 7, 4, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
-1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/
2097152, -598205/1048576], [-3, -3]]]], [[9, 7, 4, 2, 2], [And(1 < v,v < 2^(1/
2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304,
-3949363/4194304], [-1, -1], [-1196411/2097152, -598205/1048576], [-1314069/
1048576, -328517/262144]]]], [[9, 7, 4, 2, 3], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z <
(-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-1196411/2097152, -598205/
1048576], [0, 0]]]], [[9, 7, 4, 2, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1
, -1], [-1196411/2097152, -598205/1048576], [328517/262144, 1314069/1048576]]]
], [[9, 7, 4, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-\
1196411/2097152, -598205/1048576], [3, 3]]]], [[9, 9, 10, 1, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z
< -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0],
[1, 1], [-5, -5], [-3, -3]]]], [[9, 9, 10, 1, 2], [And(1 < v,v < 2^(1/2)), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-5,
-5], [-2, -2]]]], [[9, 9, 10, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/
2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y
-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1,
1], [-5, -5], [0, 0]]]], [[9, 9, 10, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2
-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-5, -5],
[2, 2]]]], [[9, 9, 10, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,
u < (v^2-1)^(1/2)), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-5, -5], [3, 3]]]], [[9,
11, 9, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x
,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-\
7797275/8388608, -3898637/4194304], [-2, -2]]]], [[9, 11, 9, 4, 2], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x-\
1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [1/2, 1/2], [-7797275/8388608, -3898637/
4194304], [-1374407/2097152, -687203/1048576]]]], [[9, 11, 9, 4, 3], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2-x
-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2
], [-7797275/8388608, -3898637/4194304], [0, 0]]]], [[9, 11, 9, 4, 4], [And(1
< v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v^2
-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-7797275/8388608, -\
3898637/4194304], [687203/1048576, 171801/262144]]]], [[9, 11, 9, 4, 5], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -u^2+v
^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-7797275/8388608, -\
3898637/4194304], [2, 2]]]], [[9, 15, 11, 7, 1], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327
/524288], [2, 2], [-3190373/4194304, -3190373/4194304], [0, 0]]]], [[9, 17, 9,
1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y
< -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-14, -14], [-5, -5]]]]
, [[9, 17, 9, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x <
u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-14, -\
14], [-104799/32768, -3353567/1048576]]]], [[9, 17, 9, 1, 3], [And(1 < v,v < 2
^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-14, -14], [0, 0]]]],
[[9, 17, 9, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u
^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-14, -\
14], [3353567/1048576, 104799/32768]]]], [[9, 17, 9, 1, 5], [And(1 < v,v < 2^(
1/2)), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
7909297/2097152, 7909297/2097152], [-14, -14], [5, 5]]]], [[10, 5, 10, 2, 1],
[v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y = -u^2, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [1, 1], [-2594959/1048576, -1297479/524288], [-3, -3]]]], [[10, 5,
10, 2, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y = -u^2, z = -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1, 1], [-2594959/1048576, -1297479/524288], [-\
636691/524288, -1273381/1048576]]]], [[10, 5, 10, 2, 3], [v = 2^(1/2), And(-3^
(1/2) < u,u < -v), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1, 1], [-2594959/1048576, -1297479/524288], [0, 0]]]], [[10
, 5, 10, 2, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y = -u^2, z = (
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/
4194304, -6598195/4194304], [1, 1], [-2594959/1048576, -1297479/524288], [
1273381/1048576, 636691/524288]]]], [[10, 5, 10, 2, 5], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1],
[-2594959/1048576, -1297479/524288], [3, 3]]]], [[10, 7, 11, 1, 1], [v = 2^(1/
2), And(-v < u,u < -1), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2,
2], [-5, -5], [-3, -3]]]], [[10, 7, 11, 1, 2], [v = 2^(1/2), And(-v < u,u < -1
), 1 < x, y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[10, 7, 11, 1, 3], [v = 2^(1/2), And(-
v < u,u < -1), 1 < x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[10, 7, 11, 1, 4], [
v = 2^(1/2), And(-v < u,u < -1), 1 < x, y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[10, 7, 11,
1, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 < x, y < u^2-x-3, (-x-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [-5, -5], [3, 3]]]], [[10, 11, 10, 1, 1], [v = 2^(1/
2), And(0 < u,u < 1), x = 1, y < u^2-4, z < -(-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-5, -5], [-3, -3]]]], [[
10, 11, 10, 1, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 1, y < u^2-4, z = -(-y-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1,
1], [-5, -5], [-2, -2]]]], [[10, 11, 10, 1, 3], [v = 2^(1/2), And(0 < u,u < 1)
, x = 1, y < u^2-4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-5, -5], [0, 0]]]], [[
10, 11, 10, 1, 4], [v = 2^(1/2), And(0 < u,u < 1), x = 1, y < u^2-4, z = (-y-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1
], [-5, -5], [2, 2]]]], [[10, 11, 10, 1, 5], [v = 2^(1/2), And(0 < u,u < 1), x
= 1, y < u^2-4, (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [1, 1], [-5, -5], [3, 3]]]], [[10, 13, 9, 4, 1], [v = 2^
(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-4014395/4194304, -16057579/16777216], [-2, -2]]]], [[
10, 13, 9, 4, 2], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = -u^2-x
+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/
16777216], [-1417877/2097152, -354469/524288]]]], [[10, 13, 9, 4, 3], [v = 2^(
1/2), And(1 < u,u < v), And(0 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z
,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/
16777216], [0, 0]]]], [[10, 13, 9, 4, 4], [v = 2^(1/2), And(1 < u,u < v), And(
0 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
4014395/4194304, -16057579/16777216], [354469/524288, 708939/1048576]]]], [[10
, 13, 9, 4, 5], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), y = -u^2-x+1
, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/
16777216], [2, 2]]]], [[11, 2, 9, 2, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 <
x, y = -x-3, z < -3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -\
3477733/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[11, 2, 9, 2, 2], [2^(1/2) <
v, u = -(v^2+2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [regular_chain, [[3, 3]
, [-1738867/524288, -3477733/1048576], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 2, 9, 2, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 <
x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]
]], [[11, 2, 9, 2, 4], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, y = -x-3, z =
3^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2]
, [-5, -5], [908093/524288, 1816187/1048576]]]], [[11, 2, 9, 2, 5], [2^(1/2) <
v, u = -(v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [2, 2], [-5, -5], [3, 3]]]], [[11, 4, 8,
1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [-4, -4], [
-3, -3]]]], [[11, 4, 8, 1, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y < -3
, z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[11, 4, 8,
1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,
z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536]
, [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[11, 4, 8, 1, 4], [2^(1/2) <
v, u = -(v^2+1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[11, 4, 8, 1, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [1, 1], [-4, -4], [3, 3]]]], [[11, 9, 1, 6, 1], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4], [4,
4], [-1, -1]]]], [[11, 9, 1, 6, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-4, -4], [4, 4], [0, 0]]]], [[11, 9, 1,
6, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1
, y = -x, 0 < z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-4, -4], [4, 4], [1, 1]]]], [[11, 10, 7, 9, 1], [2^(1/2) < v, u = -
(v^2-2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[11, 15, 
11, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1
< y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [2, 2], [-3, -3], [-2, -2]]]], [[11, 15, 11, 3, 2],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^
2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [-3, -3], [-1, -1]]]], [[11, 15, 11, 3, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [2, 2], [-3, -3], [0, 0]]]], [[11, 15, 11, 3, 4],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^
2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [-3, -3], [1, 1]]]], [[11, 15, 11, 3, 5], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
(-x-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152]
, [2, 2], [-3, -3], [2, 2]]]], [[11, 18, 1, 2, 1], [2^(1/2) < v, u = (v^2+1)^(
1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [207243/65536,
3315889/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[11, 18, 1, 2, 2], [2^(1/2)
< v, u = (v^2+1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 18, 1, 2, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x <
-2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]],
[[11, 18, 1, 2, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y = 0, z = (-x)^(
1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [0,
0], [908093/524288, 1816187/1048576]]]], [[11, 18, 1, 2, 5], [2^(1/2) < v, u =
(v^2+1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3, -3], [0, 0], [3, 3]]]], [[11, 21, 10, 7,
1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = u^2-v^2-1, 0 < y, z = z], [
regular_chain, [[3, 3], [5, 5], [15, 15], [1, 1], [0, 0]]]], [[1, 2, 2, 1, 1],
[v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [-1,
-1], [-3, -3]]]], [[1, 2, 2, 1, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -3,
y < 0, z = -(3-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[1, 2, 2, 1, 3], [v < -2^(
1/2), u = -(v^2+2)^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))
], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-3, -3], [
-1, -1], [0, 0]]]], [[1, 2, 2, 1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -\
3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[1, 2, 2, 1, 5], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-1738867/524288, -3477733/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[1,
3, 10, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1
, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [1, 1], [-3663773/1048576, -915943/262144]
, [-3, -3]]]], [[1, 3, 10, 2, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(
v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1], [-3663773/1048576, -\
915943/262144], [-1655969/1048576, -3311937/2097152]]]], [[1, 3, 10, 2, 3], [v
< -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [1, 1], [-3663773/1048576, -915943/
262144], [-1/4194304, -1/4194304]]]], [[1, 3, 10, 2, 4], [v < -2^(1/2), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(
1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1, 1]
, [-3663773/1048576, -915943/262144], [51749/32768, 1655969/1048576]]]], [[1,
3, 10, 2, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1
, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811
/1048576, -3396811/1048576], [1, 1], [-3663773/1048576, -915943/262144], [3, 3
]]]], [[1, 8, 1, 7, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, -x < y, z =
z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3]
, [4, 4], [0, 0]]]], [[1, 9, 11, 6, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3
], [-22960369/8388608, -22960369/8388608], [2, 2], [-1564117/1048576, -391029/
262144], [0, 0]]]], [[1, 15, 4, 4, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[1, 15, 4, 4, 2], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 0, z = -1], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[
1, 15, 4, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 0,
And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-1, -1], [0, 0], [0, 0]]]], [[1, 15, 4, 4, 4], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), x = -1, y = 0, z = 1], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-1, -1], [0, 0], [1, 1]]]], [[1, 15, 4, 4,
5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -1, y = 0, 1 < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-1, -1], [0, 0]
, [2, 2]]]], [[1, 17, 4, 8, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
x = -1, y = 1, z < 0], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-1, -1], [1, 1], [-1, -1]]]], [[1, 17, 4, 8, 2], [v < -2^(1/2), And(
-v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1, -1], [1, 1], [0, 0]]]], [[1, 17, 4, 8, 3],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [1, 1], [1
, 1]]]], [[1, 21, 4, 1, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y < -u^2
+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [-17, -\
17], [-6, -6]]]], [[1, 21, 4, 1, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1,
y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1],
[-17, -17], [-1112183/262144, -4448731/1048576]]]], [[1, 21, 4, 1, 3], [v < -2
^(1/2), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [-17, -17], [0, 0]]]],
[[1, 21, 4, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z =
(1-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [-17, -17], [
4448731/1048576, 1112183/262144]]]], [[1, 21, 4, 1, 5], [v < -2^(1/2), (v^2+2)
^(1/2) < u, x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-3, -3],
[5, 5], [-1, -1], [-17, -17], [6, 6]]]], [[2, 1, 9, 7, 1], [v = -2^(1/2), u <
-2, And(1 < x,x < u^2-3), And(0 < y,y < u^2-x-3), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [5/4, 5/4], [0, 0]]]],
[[2, 10, 3, 3, 1], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), And(-x-3 < y,y <
0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
0, 0], [-2, -2], [-1/2, -1/2], [-3, -3]]]], [[2, 10, 3, 3, 2], [v = -2^(1/2),
u = 0, And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-1/2, -\
1/2], [-3315889/2097152, -207243/131072]]]], [[2, 10, 3, 3, 3], [v = -2^(1/2),
u = 0, And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2,
-2], [-1/2, -1/2], [0, 0]]]], [[2, 10, 3, 3, 4], [v = -2^(1/2), u = 0, And(-3
< x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [-1/2, -1/2], [207243/
131072, 1657945/1048576]]]], [[2, 10, 3, 3, 5], [v = -2^(1/2), u = 0, And(-3 <
x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[2, 11,
11, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, y = u^2-x-3, z < -(-u^2+3)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2
], [-19/4, -19/4], [-3, -3]]]], [[2, 11, 11, 2, 2], [v = -2^(1/2), And(0 < u,u
< 1), 1 < x, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [2, 2], [-19/4, -19/4], [-1738867/
1048576, -3477733/2097152]]]], [[2, 11, 11, 2, 3], [v = -2^(1/2), And(0 < u,u
< 1), 1 < x, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-19/4
, -19/4], [-1/4194304, -1/4194304]]]], [[2, 11, 11, 2, 4], [v = -2^(1/2), And(
0 < u,u < 1), 1 < x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-19/4, -19/4], [869433/
524288, 1738867/1048576]]]], [[2, 11, 11, 2, 5], [v = -2^(1/2), And(0 < u,u <
1), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [2, 2], [-19/4, -19/4], [3, 3]]]], [[2,
16, 3, 4, 1], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288,
1816187/1048576], [-3/2, -3/2], [0, 0], [-3, -3]]]], [[2, 16, 3, 4, 2], [v = -
2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/524288]]]], [[2, 16
, 3, 4, 3], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [908093/524288, 1816187/1048576], [-3/2, -3/2], [0, 0], [0, 0]]]], [[2, 16,
3, 4, 4], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, z = (-x)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [
[2, 16, 3, 4, 5], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = 0, (-x)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-3/2, -3/2], [0, 0], [3, 3]]]], [[2, 18, 1, 6, 1],
[v = -2^(1/2), u = 2, x < -3, y = -x, z < 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-4, -4], [4, 4], [-1, -1]]]], [[2, 18, 1, 6
, 2], [v = -2^(1/2), u = 2, x < -3, y = -x, z = 0], [regular_chain, [[-1482911
/1048576, -741455/524288], [2, 2], [-4, -4], [4, 4], [0, 0]]]], [[2, 18, 1, 6,
3], [v = -2^(1/2), u = 2, x < -3, y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-4, -4], [4, 4], [1, 1]]]], [[3, 4, 1, 4, 1
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z < -2^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1, 1], [-3, -3]]]], [[3, 4, 1, 4, 2], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[3
, 4, 1, 4, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = -x-2
, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [1, 1], [0, 0]]]], [[
3, 4, 1, 4, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = -x-\
2, z = 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [1, 1], [741455/524288, 1482911/
1048576]]]], [[3, 4, 1, 4, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3, -3], [1, 1], [3, 3]]]], [[3
, 5, 11, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 <
x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
2, 2], [-12582911/4194304, -12582911/4194304], [-2, -2]]]], [[3, 5, 11, 3, 2],
[And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, And(-u^2+v^2-
x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-\
12582911/4194304, -12582911/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[3, 5, 11, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-12582911/4194304, -\
12582911/4194304], [-3670015/8796093022208, -3670015/8796093022208]]]], [[3, 5
, 11, 3, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x,
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2,
2], [-12582911/4194304, -12582911/4194304], [1048575/1048576, 1]]]], [[3, 5, 
11, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, 
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2,
2], [-12582911/4194304, -12582911/4194304], [2, 2]]]], [[3, 10, 3, 5, 1], [And
(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[3, 
10, 3, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1)
, And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/4, 3/4], [
-1816187/2097152, -3632373/4194304]]]], [[3, 10, 3, 5, 3], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/4, 3/4], [-1/
8388608, -1/8388608]]]], [[3, 10, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^
2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]], [[3, 
10, 3, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1)
, And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-3/2, -3/2], [3/4, 3/4], [
2, 2]]]], [[3, 12, 1, 7, 1], [And(-2^(1/2) < v,v < -1), u = -v, x < -1, -x < y
, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/
1048576, 1265743/1048576], [-2, -2], [3, 3], [0, 0]]]], [[3, 15, 2, 7, 1], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v
^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[4, 4], [0, 0]]]], [[3, 16, 8, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(
1/2), x = 1, y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [0, 0], [0, 0]]]], [[4, 3,
6, 1, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y < -u^2, z < -(-y)^
(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [0, 0
], [-4, -4], [-3, -3]]]], [[4, 3, 6, 1, 2], [v = -1, And(-3^(1/2) < u,u < -2^(
1/2)), x = 0, y < -u^2, z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195
/4194304, -6598195/4194304], [0, 0], [-4, -4], [-2, -2]]]], [[4, 3, 6, 1, 3],
[v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y < -u^2, And(-(-y)^(1/2) < z,
z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [0, 0], [-4, -4], [0, 0]]]], [[4, 3, 6, 1, 4], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = 0, y < -u^2, z = (-y)^(1/2)], [regular_chain, [[-1, -1]
, [-6598195/4194304, -6598195/4194304], [0, 0], [-4, -4], [2, 2]]]], [[4, 3, 6
, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y < -u^2, (-y)^(1/2)
< z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [0, 0],
[-4, -4], [3, 3]]]], [[4, 5, 4, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), x =
-1, 1 < y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [2, 2], [0, 0]]]], [[4, 11, 4, 6, 1], [v = -1, And(1 < u,u
< 2^(1/2)), x = -1, y = u^2-1, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1]
, [1265743/1048576, 1265743/1048576], [-1, -1], [239655/524288, 479311/1048576
], [-2, -2]]]], [[4, 11, 4, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y
= u^2-1, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1, -1], [239655/524288, 479311/1048576], [-772605/1048576,
-1545209/2097152]]]], [[4, 11, 4, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), x =
-1, y = u^2-1, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [
[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [239655/524288, 479311
/1048576], [-1/4194304, -1/4194304]]]], [[4, 11, 4, 6, 4], [v = -1, And(1 < u,
u < 2^(1/2)), x = -1, y = u^2-1, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1
], [1265743/1048576, 1265743/1048576], [-1, -1], [239655/524288, 479311/
1048576], [193151/262144, 772605/1048576]]]], [[4, 11, 4, 6, 5], [v = -1, And(
1 < u,u < 2^(1/2)), x = -1, y = u^2-1, (-u^2+2)^(1/2) < z], [regular_chain, [[
-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [239655/524288, 479311/
1048576], [2, 2]]]], [[4, 13, 3, 5, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(-u^2 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/
2097152], [910883/1048576, 910883/1048576], [-2, -2]]]], [[4, 13, 3, 5, 2], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [-3643533/2097152, -3643533/2097152], [910883/1048576, 910883/1048576], [-\
7818463/8388608, -3909231/4194304]]]], [[4, 13, 3, 5, 3], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-3643533/2097152, -3643533/2097152], [910883/1048576, 910883/
1048576], [-3/8388608, -3/8388608]]]], [[4, 13, 3, 5, 4], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [910883/1048576, 910883/1048576], [977307/1048576,
244327/262144]]]], [[4, 13, 3, 5, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 
And(-u^2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/
2097152], [910883/1048576, 910883/1048576], [2, 2]]]], [[5, 1, 9, 7, 1], [And(
-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(0 < y,y < u^2
-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [27/
16, 27/16], [0, 0]]]], [[5, 3, 6, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = z], [regular_chain, [[-1/
2, -1/2], [-343151/262144, -343151/262144], [0, 0], [243021/524288, 486043/
1048576], [0, 0]]]], [[5, 12, 3, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
And(-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [3/2, 3/2], [-2, -2], [1, 1], [-2, -2]]]], [[5, 12, 3, 5, 2], [And
(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [1, 1], [
-1, -1]]]], [[5, 12, 3, 5, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 <
x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [1, 1], [0, 0]]]], [[5, 12
, 3, 5, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2,
-2], [1, 1], [1, 1]]]], [[5, 12, 3, 5, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/
2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1/2, -1/2], [3/2, 3/2], [-2, -2], [1, 1], [2, 2]]]], [[5, 13, 11, 4, 1], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-9, -9], [-1, -1]]]], [[5, 13,
11, 4, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, z = 0
], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-9, -9], [0, 0]]]], [[5, 13
, 11, 4, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, 0 <
z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-9, -9], [1, 1]]]], [[6, 4
, 8, 4, 1], [v = 0, u = -1, x = 1, y = -1, z < 0], [regular_chain, [[0, 0], [-\
1, -1], [1, 1], [-1, -1], [-1, -1]]]], [[6, 4, 8, 4, 2], [v = 0, u = -1, x = 1
, y = -1, z = 0], [regular_chain, [[0, 0], [-1, -1], [1, 1], [-1, -1], [0, 0]]
]], [[6, 4, 8, 4, 3], [v = 0, u = -1, x = 1, y = -1, 0 < z], [regular_chain, [
[0, 0], [-1, -1], [1, 1], [-1, -1], [1, 1]]]], [[6, 6, 7, 1, 1], [v = 0, u = 0
, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [2, 2]
, [-4, -4], [-3, -3]]]], [[6, 6, 7, 1, 2], [v = 0, u = 0, 1 < x, y < -1-x, z =
-(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [2, 2], [-4, -4], [-1482911/
1048576, -741455/524288]]]], [[6, 6, 7, 1, 3], [v = 0, u = 0, 1 < x, y < -1-x,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [0, 0], [2,
2], [-4, -4], [0, 0]]]], [[6, 6, 7, 1, 4], [v = 0, u = 0, 1 < x, y < -1-x, z =
(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [2, 2], [-4, -4], [741455/
524288, 1482911/1048576]]]], [[6, 6, 7, 1, 5], [v = 0, u = 0, 1 < x, y < -1-x,
(-x-y)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [2, 2], [-4, -4], [3, 3]]]
], [[7, 1, 1, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y
= -x, z < 0], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [11, 11], [-1
, -1]]]], [[7, 1, 1, 6, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^
2-1, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [11, 
11], [0, 0]]]], [[7, 1, 1, 6, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -
u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11],
[11, 11], [1, 1]]]], [[7, 2, 7, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2),
And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[7, 7, 1, 5, 1], [And(0 < v,v
< 1), And(-v < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [2, 2], [-2
, -2]]]], [[7, 7, 1, 5, 2], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-\
1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [0, 0], [-3, -3], [2, 2], [-1, -1]]]], [[7, 7, 1, 5, 3], [And(0 <
v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x
-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0
, 0], [-3, -3], [2, 2], [0, 0]]]], [[7, 7, 1, 5, 4], [And(0 < v,v < 1), And(-v
< u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(
1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [2, 2], [1, 1]]]], [[7,
7, 1, 5, 5], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(u^2-v^2-
x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0,
0], [-3, -3], [2, 2], [2, 2]]]], [[7, 9, 1, 9, 1], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, -x < y, z = z], [regular_chain, [[1/2, 1
/2], [1696631/2097152, 1696631/2097152], [-3, -3], [4, 4], [0, 0]]]], [[7, 11,
8, 2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2
-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-6138473/
2097152, -24553891/8388608], [-3, -3]]]], [[7, 11, 8, 2, 2], [And(0 < v,v < 1)
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [243021/524288, 486043/1048576], [-6138473/2097152, -24553891/8388608
], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 8, 2, 3], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2
], [343151/262144, 343151/262144], [243021/524288, 486043/1048576], [-6138473/
2097152, -24553891/8388608], [0, 0]]]], [[7, 11, 8, 2, 4], [And(0 < v,v < 1),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144
], [243021/524288, 486043/1048576], [-6138473/2097152, -24553891/8388608], [
1645805/1048576, 822903/524288]]]], [[7, 11, 8, 2, 5], [And(0 < v,v < 1), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^
2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144],
[243021/524288, 486043/1048576], [-6138473/2097152, -24553891/8388608], [3, 3]
]]], [[7, 13, 5, 5, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0
), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[7, 13, 5, 5, 2], [And(0 < v,v < 1), (
v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[7, 13, 5, 5, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), 
And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1/2, 1/2], [3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[7, 13, 5, 5, 4], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z =
(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [1/4, 1/4],
[1/2, 1/2]]]], [[7, 13, 5, 5, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1
< x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[3, 3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[8, 3, 11, 3, 1], [v = 1, And(-3
^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
3394631/1048576, -3394631/1048576], [-3, -3]]]], [[8, 3, 11, 3, 2], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
3394631/1048576, -3394631/1048576], [-145801/131072, -1166407/1048576]]]], [[8
, 3, 11, 3, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-3394631/1048576, -3394631/
1048576], [0, 0]]]], [[8, 3, 11, 3, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2))
, 1 < x, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [
-6598195/4194304, -6598195/4194304], [2, 2], [-3394631/1048576, -3394631/
1048576], [1166407/1048576, 145801/131072]]]], [[8, 3, 11, 3, 5], [v = 1, And(
-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
3394631/1048576, -3394631/1048576], [3, 3]]]], [[8, 5, 10, 6, 1], [v = 1, And(
-2^(1/2) < u,u < -1), x = 1, y = -1, z < 0], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[8, 5, 10,
6, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, y = -1, z = 0], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-1, -1], [0, 0]]]],
[[8, 5, 10, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, y = -1, 0 < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-1, -1]
, [1, 1]]]], [[8, 11, 10, 1, 1], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y < -u
^2-1, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1, 1], [-4, -4], [-3, -3]]]], [[8, 11, 10, 1, 2], [v = 1, And(1 < u
,u < 2^(1/2)), x = 1, y < -u^2-1, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1],
[1265743/1048576, 1265743/1048576], [1, 1], [-4, -4], [-1816187/1048576, -\
3632373/2097152]]]], [[8, 11, 10, 1, 3], [v = 1, And(1 < u,u < 2^(1/2)), x = 1
, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1
], [1265743/1048576, 1265743/1048576], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[8, 11, 10, 1, 4], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y < -u
^2-1, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[8, 11, 10,
1, 5], [v = 1, And(1 < u,u < 2^(1/2)), x = 1, y < -u^2-1, (-y-1)^(1/2) < z], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1, 1], [-4, -4],
[3, 3]]]], [[8, 13, 9, 4, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u^2-2
< x,x < 1), y = -x, z < 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097
/2097152], [773191/1048576, 773191/1048576], [-773191/1048576, -773191/1048576
], [-1, -1]]]], [[8, 13, 9, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(u
^2-2 < x,x < 1), y = -x, z = 0], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [773191/1048576, 773191/1048576], [-773191/1048576, -773191/
1048576], [0, 0]]]], [[8, 13, 9, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(u^2-2 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [773191/1048576, 773191/1048576], [-773191/1048576,
-773191/1048576], [1, 1]]]], [[9, 2, 3, 9, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2+2)^(1/2), And(-3 < x,x < -1), 1-x < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [4,
4], [0, 0]]]], [[9, 4, 1, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2),
x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [1/2,
1/2], [-3, -3]]]], [[9, 4, 1, 3, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/
2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [1/2
, 1/2], [-3315889/2097152, -207243/131072]]]], [[9, 4, 1, 3, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-410915/262144, -3287319/2097152], [-3, -3], [1/2, 1/2], [0, 0]]]], [[9, 4, 1,
3, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2
), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [1/2, 1/2], [207243/131072, 
1657945/1048576]]]], [[9, 4, 1, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+1)^(
1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3
], [1/2, 1/2], [3, 3]]]], [[9, 13, 1, 7, 1], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576
, 1454701/1048576], [-3, -3], [1433279/524288, 1433279/524288], [-2, -2]]]], [
[9, 13, 1, 7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -
u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [1433279/524288, 1433279/524288], [-1082093/2097152, -270523/524288]]]], [[
9, 13, 1, 7, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u
^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-3, -3], [1433279/524288, 1433279/524288], [0, 0]]]], [[9,
13, 1, 7, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+
v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [1433279/524288, 1433279/524288], [270523/524288, 541047/1048576]]]], [[9,
13, 1, 7, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x < -u^2+
v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3, -3
], [1433279/524288, 1433279/524288], [2, 2]]]], [[9, 15, 1, 1, 1], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-4, -4], [-1, -1], [-4, -4]]]], [[9, 15, 1, 1,
2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [898327/524288, 898327/524288], [-4, -4], [-1, -1], [-146543/65536,
-2344687/1048576]]]], [[9, 15, 1, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-4, -4], [-1, -1], [0, 0]]]], [[9, 15, 1, 1, 4], [And
(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-4, -4], [-1, -1], [2344687/1048576, 146543/
65536]]]], [[9, 15, 1, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [
-1, -1], [4, 4]]]], [[10, 1, 6, 6, 1], [v = 2^(1/2), u < -2, x = 0, y = u^2-3,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [0, 0], [
6, 6], [0, 0]]]], [[10, 3, 4, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x
= -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [-388511/
262144, -1554043/1048576], [-3, -3]]]], [[10, 3, 4, 2, 2], [v = 2^(1/2), And(-\
2 < u,u < -3^(1/2)), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1,
-1], [-388511/262144, -1554043/1048576], [-825991/524288, -3303963/2097152]]]]
, [[10, 3, 4, 2, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = -u^2+
2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [-388511/
262144, -1554043/1048576], [-1/4194304, -1/4194304]]]], [[10, 3, 4, 2, 4], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [-388511/262144, -1554043/1048576], [1651981/1048576, 
825991/524288]]]], [[10, 3, 4, 2, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x = -1, y = -u^2+2, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [-388511/
262144, -1554043/1048576], [3, 3]]]], [[10, 9, 1, 8, 1], [v = 2^(1/2), And(-1
< u,u < 0), x < u^2-3, y = -u^2-x+1, z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [-4, -4], [19/4, 19/4], [0, 0]]]], [[10, 10, 8
, 2, 1], [v = 2^(1/2), u = 0, x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [1, 1], [-4, -4], [-3, -3]]]], [[10,
10, 8, 2, 2], [v = 2^(1/2), u = 0, x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-4, -4], [-\
1816187/1048576, -3632373/2097152]]]], [[10, 10, 8, 2, 3], [v = 2^(1/2), u = 0
, x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]
], [[10, 10, 8, 2, 4], [v = 2^(1/2), u = 0, x = 1, y = -4, z = 3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[10, 10, 8, 2, 5], [v = 2^(1/2), u = 0, x
= 1, y = -4, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [1, 1], [-4, -4], [3, 3]]]], [[10, 15, 1, 5, 1], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-3, -3], [2, 2], [-2, -2]]]], [[10, 15, 1, 5, 2], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z = -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[10, 15, 1, 5, 3], [v = 2^(1
/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [2, 2], [0, 0]]]], [[
10, 15, 1, 5, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And(-u^2-x
+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [2, 2], [1, 1]
]]], [[10, 15, 1, 5, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x < -u^2+1, And
(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288
, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [2, 2], [2,
2]]]], [[10, 16, 9, 6, 1], [v = 2^(1/2), u = 3^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [2, 2], [0, 0], [0, 0]]]], [[10, 19, 4, 8, 1], [v = 2^(1/2), 2 < u,
x = -1, y = u^2-2, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [-1, -1], [7, 7], [0, 0]]]], [[11, 1, 11, 2, 1], [2^(1/2) < v, u < -(v
^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [16, 16], [-33, -33], [-6, -6]]]], [[11, 1,
11, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-33, -\
33], [-2161695/524288, -4323389/1048576]]]], [[11, 1, 11, 2, 3], [2^(1/2) < v,
u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-33,
-33], [0, 0]]]], [[11, 1, 11, 2, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2
-1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5
, -5], [16, 16], [-33, -33], [4323389/1048576, 2161695/524288]]]], [[11, 1, 11
, 2, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, (u
^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [16, 16], [-33, -33],
[6, 6]]]], [[11, 5, 10, 2, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [-\
3, -3]]]], [[11, 5, 10, 2, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [-\
1281417/1048576, -160177/131072]]]], [[11, 5, 10, 2, 3], [2^(1/2) < v, And(-(v
^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [1, 1], [-326817/131072, -2614535/1048576], [0, 0]]]], [[11, 5, 10, 2, 4], [
2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z = (u^2-v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1
], [-326817/131072, -2614535/1048576], [160177/131072, 1281417/1048576]]]], [[
11, 5, 10, 2, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -u^
2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [3, 3]]]], [[11, 7
, 11, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-
x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-5, -5], [-3, -3]]]], [[11, 7, 11, 1, 2], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-5, -5]
, [-1816187/1048576, -3632373/2097152]]]], [[11, 7, 11, 1, 3], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[11, 7, 11, 1, 4], [
2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, z = (-x-y
)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2
], [-5, -5], [908093/524288, 1816187/1048576]]]], [[11, 7, 11, 1, 5], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), 1 < x, y < u^2-v^2-x-1, (-x-y)^(1/2) < z]
, [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [2, 2], [-5,
-5], [3, 3]]]], [[11, 13, 3, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/
524288, -919691/524288], [-3163225/4194304, -395403/524288], [-3, -3]]]], [[11
, 13, 3, 2, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^
2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288],
[-3163225/4194304, -395403/524288], [-3321417/2097152, -415177/262144]]]], [[
11, 13, 3, 2, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(
u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+
v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
919691/524288, -919691/524288], [-3163225/4194304, -395403/524288], [0, 0]]]],
[[11, 13, 3, 2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -\
919691/524288], [-3163225/4194304, -395403/524288], [415177/262144, 1660709/
1048576]]]], [[11, 13, 3, 2, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-919691/524288,
-919691/524288], [-3163225/4194304, -395403/524288], [3, 3]]]], [[11, 15, 2, 3
, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And(0 < y,y <
-2*u^2+2*v^2), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [133001/262144,
133001/262144], [-3, -3]]]], [[11, 15, 2, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = -(-u^2+v^2-y+1)
^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-\
3161161/2097152, -395145/262144], [133001/262144, 133001/262144], [-1048577/
1048576, -1]]]], [[11, 15, 2, 3, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v
), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), And(-(-u^2+v^2-y+1)^(1/2) < z,z
< (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3161161/2097152, -395145/262144], [133001/262144, 133001/262144],
[0, 0]]]], [[11, 15, 2, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x =
u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3161161/2097152,
-395145/262144], [133001/262144, 133001/262144], [1, 1048577/1048576]]]], [[11
, 15, 2, 3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x = u^2-v^2-1, And
(0 < y,y < -2*u^2+2*v^2), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-3161161/2097152, -395145/262144], [
133001/262144, 133001/262144], [3, 3]]]], [[11, 19, 4, 8, 1], [2^(1/2) < v, 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = u^2-v^2, z = z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [391655/
262144, 1566621/1048576], [0, 0]]]], [[11, 21, 2, 2, 1], [2^(1/2) < v, (v^2+2)
^(1/2) < u, x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [5, 5], [-17, -17], [0, 0], [-6, -6]]]], [[11, 21, 2, 2, 2], [2^(1/2) <
v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-17, -17], [0, 0], [-2161695/524288, -4323389
/1048576]]]], [[11, 21, 2, 2, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^
2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[3, 3], [5, 5], [-17, -17], [0, 0], [0, 0]]]], [[11, 21, 2, 2, 4], [2^(1/2)
< v, (v^2+2)^(1/2) < u, x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-17, -17], [0, 0], [4323389/1048576, 2161695/
524288]]]], [[11, 21, 2, 2, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x = -u^2+v^2-\
1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-17, -17],
[0, 0], [6, 6]]]], [[1, 5, 1, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [197471/
262144, 197471/262144], [-3, -3]]]], [[1, 5, 1, 3, 2], [v < -2^(1/2), And(-(v^
2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y
)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3
], [197471/262144, 197471/262144], [-1571713/1048576, -12279/8192]]]], [[1, 5,
1, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(0
< y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [197471/
262144, 197471/262144], [0, 0]]]], [[1, 5, 1, 3, 4], [v < -2^(1/2), And(-(v^2+
1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(
1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3],
[197471/262144, 197471/262144], [12279/8192, 1571713/1048576]]]], [[1, 5, 1, 3
, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(0 < y,
y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-3, -3], [197471/262144, 197471/262144], [3, 3]]]],
[[1, 7, 1, 7, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
-6111549/2097152, -6111549/2097152], [-3, -3], [5774885/2097152, 5774885/
2097152], [-2, -2]]]], [[1, 7, 1, 7, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [
5774885/2097152, 5774885/2097152], [-16263/32768, -520415/1048576]]]], [[1, 7,
1, 7, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^
2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [
5774885/2097152, 5774885/2097152], [0, 0]]]], [[1, 7, 1, 7, 4], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [5774885/2097152, 5774885/2097152], [520415/1048576, 16263
/32768]]]], [[1, 7, 1, 7, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x
< u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [5774885/2097152, 
5774885/2097152], [2, 2]]]], [[1, 10, 9, 9, 1], [v < -2^(1/2), u = -(v^2-2)^(1
/2), 1 < x, 0 < y, z = z], [regular_chain, [[-3, -3], [-5548543/2097152, -\
2774271/1048576], [2, 2], [1, 1], [0, 0]]]], [[1, 12, 6, 6, 1], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = 0, y = 1, z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [0, 0], [1, 1], [0, 0]]]], [[1, 18, 3, 6, 1], [v < -2^(1
/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [[
-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]
], [[1, 18, 3, 6, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), y
= -x, z = 0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-3/
2, -3/2], [3/2, 3/2], [0, 0]]]], [[1, 18, 3, 6, 3], [v < -2^(1/2), u = (v^2+1)
^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [207243
/65536, 3315889/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[1, 20, 1, 8,
1], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = 1-x, z = z], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [5, 5], [0, 0]]]], [[2
, 2, 8, 1, 1], [v = -2^(1/2), u = -2, x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-5, -5]
, [-3, -3]]]], [[2, 2, 8, 1, 2], [v = -2^(1/2), u = -2, x = 1, y < -4, z = -(-
y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1
, 1], [-5, -5], [-2, -2]]]], [[2, 2, 8, 1, 3], [v = -2^(1/2), u = -2, x = 1, y
< -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [-5, -5], [0, 0]]]], [[2, 2, 8, 1,
4], [v = -2^(1/2), u = -2, x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-5, -5], [2, 2]]]], [[2
, 2, 8, 1, 5], [v = -2^(1/2), u = -2, x = 1, y < -4, (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-5, -5]
, [3, 3]]]], [[2, 4, 6, 1, 1], [v = -2^(1/2), u = -3^(1/2), x = 0, y < -2, z <
-(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[2, 4, 6, 1, 2], [
v = -2^(1/2), u = -3^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [0,
0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[2, 4, 6, 1, 3], [v =
-2^(1/2), u = -3^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[2, 4, 6, 1,
4], [v = -2^(1/2), u = -3^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[2,
4, 6, 1, 5], [v = -2^(1/2), u = -3^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [0, 0], [-3, -3], [3, 3]]]], [[2, 7, 6, 1, 1], [v = -2^(1/2)
, And(v < u,u < -1), x = -u^2+1, y < 2*u^2-4, z < -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-479311/1048576, -239655/524288], [-3, -3], [-3, -3]]]], [[
2, 7, 6, 1, 2], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, y < 2*u^2-4, z =
-(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [-3, -3
], [-3899297/2097152, -7798593/4194304]]]], [[2, 7, 6, 1, 3], [v = -2^(1/2), 
And(v < u,u < -1), x = -u^2+1, y < 2*u^2-4, And(-(u^2-y-1)^(1/2) < z,z < (u^2-
y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [-3, -3], [-1/
8388608, -1/8388608]]]], [[2, 7, 6, 1, 4], [v = -2^(1/2), And(v < u,u < -1), x
= -u^2+1, y < 2*u^2-4, z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-479311/
1048576, -239655/524288], [-3, -3], [121853/65536, 1949649/1048576]]]], [[2, 7
, 6, 1, 5], [v = -2^(1/2), And(v < u,u < -1), x = -u^2+1, y < 2*u^2-4, (u^2-y-\
1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-479311/1048576, -239655/524288], [-3, -3], [3, 3
]]]], [[2, 9, 4, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, -u^2+2 < y,
z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1
, -1], [3, 3], [0, 0]]]], [[2, 13, 4, 2, 1], [v = -2^(1/2), And(1 < u,u < -v),
x = -1, y = u^2-2, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-1138531/
2097152, -569265/1048576], [-3, -3]]]], [[2, 13, 4, 2, 2], [v = -2^(1/2), And(
1 < u,u < -v), x = -1, y = u^2-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [-1138531/2097152, -569265/1048576], [-1302471/1048576, -651235/524288]]]],
[[2, 13, 4, 2, 3], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y = u^2-2, And(-(
-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [-1138531/
2097152, -569265/1048576], [0, 0]]]], [[2, 13, 4, 2, 4], [v = -2^(1/2), And(1
< u,u < -v), x = -1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1]
, [-1138531/2097152, -569265/1048576], [651235/524288, 1302471/1048576]]]], [[
2, 13, 4, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y = u^2-2, (-u^2+3)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1, -1], [-1138531/2097152, -569265/1048576], [3,
3]]]], [[2, 15, 4, 6, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y =
u^2-2, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-1, -1], [497805/1048576, 248903
/524288], [-2, -2]]]], [[2, 15, 4, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x = -1, y = u^2-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [
497805/1048576, 248903/524288], [-1519901/2097152, -379975/524288]]]], [[2, 15
, 4, 6, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y = u^2-2, And(-(-
u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [497805/1048576,
248903/524288], [0, 0]]]], [[2, 15, 4, 6, 4], [v = -2^(1/2), And(-v < u,u < 3^
(1/2)), x = -1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [
497805/1048576, 248903/524288], [379975/524288, 759951/1048576]]]], [[2, 15, 4
, 6, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y = u^2-2, (-u^2+3)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1, -1], [497805/1048576, 248903/524288], [2, 2]]]
], [[3, 1, 6, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0, y =
-u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [0, 0], [-4478937/524288, -8957873/1048576], [-4,
-4]]]], [[3, 1, 6, 2, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0
, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [0, 0], [-4478937/524288, -8957873/1048576], [-\
1532401/524288, -24518415/8388608]]]], [[3, 1, 6, 2, 3], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [0, 0], [-4478937/524288, -8957873/1048576], [-7/16777216, -7/16777216
]]]], [[3, 1, 6, 2, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 0,
y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [0, 0], [-4478937/524288, -8957873/1048576], [
3064801/1048576, 1532401/524288]]]], [[3, 1, 6, 2, 5], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [0, 0], [-\
4478937/524288, -8957873/1048576], [4, 4]]]], [[3, 3, 3, 3, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
3647693/2097152, -3647693/2097152], [-775271/2097152, -775271/2097152], [-3, -\
3]]]], [[3, 3, 3, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-\
775271/2097152, -775271/2097152], [-380699/262144, -1522795/1048576]]]], [[3,
3, 3, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/
2097152], [-775271/2097152, -775271/2097152], [0, 0]]]], [[3, 3, 3, 3, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2
+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-775271/2097152, -\
775271/2097152], [1522795/1048576, 380699/262144]]]], [[3, 3, 3, 3, 5], [And(-
2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-3647693/2097152, -3647693/2097152], [-775271/2097152, -775271/2097152], [3,
3]]]], [[3, 7, 5, 8, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/
2)), And(-1 < x,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [749473/1048576, 374737/524288], [-1, -1]]]], [[3,
7, 5, 8, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1
< x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [749473/1048576, 374737/524288], [0, 0]]]], [[3, 7, 5, 8, 3]
, [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^
2+v^2-1), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/2097152],
[749473/1048576, 374737/524288], [1, 1]]]], [[3, 9, 4, 7, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(1 < y,y < -u
^2+v^2), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0]
, [-1, -1], [1288231/1048576, 1288231/1048576], [0, 0]]]], [[3, 17, 8, 9, 1],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, x = 1, u^2-v^2-2 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [1, 1], [7, 7],
[0, 0]]]], [[4, 2, 3, 8, 1], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y = 1-
x, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
2, -2], [3, 3], [0, 0]]]], [[4, 6, 3, 7, 1], [v = -1, u = -1, And(-1 < x,x < 0
), -x < y, z = z], [regular_chain, [[-1, -1], [-1, -1], [-1/2, -1/2], [2, 2],
[0, 0]]]], [[4, 8, 4, 4, 1], [v = -1, u = 0, x = -1, y = 0, z < -1], [
regular_chain, [[-1, -1], [0, 0], [-1, -1], [0, 0], [-2, -2]]]], [[4, 8, 4, 4,
2], [v = -1, u = 0, x = -1, y = 0, z = -1], [regular_chain, [[-1, -1], [0, 0],
[-1, -1], [0, 0], [-1, -1]]]], [[4, 8, 4, 4, 3], [v = -1, u = 0, x = -1, y = 0
, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [0, 0], [0,
0]]]], [[4, 8, 4, 4, 4], [v = -1, u = 0, x = -1, y = 0, z = 1], [regular_chain
, [[-1, -1], [0, 0], [-1, -1], [0, 0], [1, 1]]]], [[4, 8, 4, 4, 5], [v = -1, u
= 0, x = -1, y = 0, 1 < z], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [0, 0
], [2, 2]]]], [[4, 14, 1, 6, 1], [v = -1, u = 3^(1/2), x < -3, y = -x, z < 0],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [4, 4],
[-1, -1]]]], [[4, 14, 1, 6, 2], [v = -1, u = 3^(1/2), x < -3, y = -x, z = 0],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [4, 4],
[0, 0]]]], [[4, 14, 1, 6, 3], [v = -1, u = 3^(1/2), x < -3, y = -x, 0 < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [4, 4],
[1, 1]]]], [[4, 15, 9, 5, 1], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(
-x < y,y < 0), z = z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-2, -2], [0
, 0]]]], [[5, 4, 6, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, y <
-2, z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343
/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[5, 4, 6, 1, 2], [And(-1 < v,v < 0)
, u = -(v^2+1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-146543/131072, -1172343/1048576], [0, 0], [-3, -3], [-1816187/1048576
, -3632373/2097152]]]], [[5, 4, 6, 1, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/
2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/
2, -1/2], [-146543/131072, -1172343/1048576], [0, 0], [-3, -3], [-1/4194304, -\
1/4194304]]]], [[5, 4, 6, 1, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0
, y < -2, z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[5,
4, 6, 1, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0
], [-3, -3], [3, 3]]]], [[5, 6, 4, 5, 1], [And(-1 < v,v < 0), u = v, x = 0, 0
< y, z = z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [0, 0], [1, 1], [0,
0]]]], [[5, 9, 6, 3, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/
1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [-2, -2]]]],
[[5, 9, 6, 3, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = u^2-v
^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/
2097152], [-3393259/8388608, -3393259/8388608], [-8796092874415/8796093022208,
-35184371497659/35184372088832]]]], [[5, 9, 6, 3, 3], [And(-1 < v,v < 0), And(
-v < u,u < (v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), And(-(-
u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1/2, -1/
2], [1696631/2097152, 1696631/2097152], [-624419/1048576, -1248837/2097152], [
-3393259/8388608, -3393259/8388608], [-32963259/70368744177664, -32963259/
70368744177664]]]], [[5, 9, 6, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+
1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+1)^(1/2
)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [
1048575/1048576, 1]]]], [[5, 9, 6, 3, 5], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [2, 2
]]]], [[5, 11, 5, 2, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-\
8235625/4194304, -32942499/16777216], [-3, -3]]]], [[5, 11, 5, 2, 2], [And(-1
< v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -
u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1/2, -1/2], [-8235625/4194304, -32942499/16777216],
[-3291611/2097152, -1645805/1048576]]]], [[5, 11, 5, 2, 3], [And(-1 < v,v < 0)
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-\
1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-8235625/4194304, -\
32942499/16777216], [0, 0]]]], [[5, 11, 5, 2, 4], [And(-1 < v,v < 0), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^
2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144]
, [-1/2, -1/2], [-8235625/4194304, -32942499/16777216], [1645805/1048576, 
822903/524288]]]], [[5, 11, 5, 2, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2
], [-8235625/4194304, -32942499/16777216], [3, 3]]]], [[6, 1, 11, 6, 1], [v =
0, u < -2^(1/2), u^2-1 < x, y = u^2-x-1, z = z], [regular_chain, [[0, 0], [-3,
-3], [9, 9], [-1, -1], [0, 0]]]], [[6, 3, 8, 5, 1], [v = 0, And(-2^(1/2) < u,u
< -1), x = u^2-1, And(-u^2+1 < y,y < 0), z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/524288, 479311/1048576], [-239655/
1048576, -239655/1048576], [0, 0]]]], [[6, 9, 6, 4, 1], [v = 0, And(1 < u,u <
2^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[6, 9, 6, 4, 2], [v = 0, And(1
< u,u < 2^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[6, 9, 6, 4, 3], [v = 0
, And(1 < u,u < 2^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[6, 11, 3, 5, 1
], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)
^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [11/4, 11/4], [-3, -\
3]]]], [[6, 11, 3, 5, 2], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(0 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2]
, [11/4, 11/4], [-1738867/1048576, -3477733/2097152]]]], [[6, 11, 3, 5, 3], [v
= 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [11/4
, 11/4], [-1/4194304, -1/4194304]]]], [[6, 11, 3, 5, 4], [v = 0, 2^(1/2) < u,
And(-u^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[0, 0], [3, 3], [-11/2, -11/2], [11/4, 11/4], [869433/524288, 1738867/1048576
]]]], [[6, 11, 3, 5, 5], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2],
[11/4, 11/4], [3, 3]]]], [[7, 3, 9, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152
, 1534619/2097152], [1, 1], [0, 0]]]], [[7, 5, 8, 6, 1], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = 0, z < 0], [regular_chain, [[1/2, 1
/2], [-1696631/2097152, -1696631/2097152], [0, 0], [0, 0], [-1, -1]]]], [[7, 5
, 8, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = 0, z
= 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0
], [0, 0], [0, 0]]]], [[7, 5, 8, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2)
< u,u < -v), x = 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [0, 0], [0, 0], [1, 1]]]], [[8, 1, 3, 4, 1], [v =
1, u < -3^(1/2), And(-u^2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain
, [[1, 1], [-3, -3], [-5, -5], [0, 0], [-4, -4]]]], [[8, 1, 3, 4, 2], [v = 1,
u < -3^(1/2), And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[1, 1], [-3, -3], [-5, -5], [0, 0], [-146543/65536, -2344687/1048576]]]], [[8,
1, 3, 4, 3], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = 0, And(-(-x)^(1/2
) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [0, 0], [
0, 0]]]], [[8, 1, 3, 4, 4], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = 0,
z = (-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [0, 0], [2344687
/1048576, 146543/65536]]]], [[8, 1, 3, 4, 5], [v = 1, u < -3^(1/2), And(-u^2 <
x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-5, -5]
, [0, 0], [4, 4]]]], [[8, 2, 9, 7, 1], [v = 1, u = -3^(1/2), 1 < x, And(1-x <
y,y < 0), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152
], [2, 2], [-1/2, -1/2], [0, 0]]]], [[8, 7, 3, 1, 1], [v = 1, And(-1 < u,u < 0
), And(u^2-2 < x,x < -1), y < u^2-x-2, z < -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [-1/2, -1/2], [-11/8, -11/8], [-2, -2], [-3, -3]]]], [[8, 7, 3, 1, 2], [
v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y < u^2-x-2, z = -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-2, -2], [-7705429
/4194304, -1926357/1048576]]]], [[8, 7, 3, 1, 3], [v = 1, And(-1 < u,u < 0), 
And(u^2-2 < x,x < -1), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-2, -2], [0, 0]]]], [[
8, 7, 3, 1, 4], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y < u^2-x-2,
z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-2,
-2], [1926357/1048576, 963179/524288]]]], [[8, 7, 3, 1, 5], [v = 1, And(-1 < u
,u < 0), And(u^2-2 < x,x < -1), y < u^2-x-2, (-x-y)^(1/2) < z], [regular_chain
, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [-2, -2], [3, 3]]]], [[8, 9, 2, 2, 1]
, [v = 1, And(0 < u,u < 1), x = u^2-2, y = 0, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [0, 0], [-3, -3]]]], [[8, 9,
2, 2, 2], [v = 1, And(0 < u,u < 1), x = u^2-2, y = 0, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [0, 0], [-10837/8192, -\
1387135/1048576]]]], [[8, 9, 2, 2, 3], [v = 1, And(0 < u,u < 1), x = u^2-2, y
= 0, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1
/2, 1/2], [-7/4, -7/4], [0, 0], [0, 0]]]], [[8, 9, 2, 2, 4], [v = 1, And(0 < u
,u < 1), x = u^2-2, y = 0, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1/2,
1/2], [-7/4, -7/4], [0, 0], [1387135/1048576, 10837/8192]]]], [[8, 9, 2, 2, 5]
, [v = 1, And(0 < u,u < 1), x = u^2-2, y = 0, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [0, 0], [3, 3]]]], [[8, 14,
7, 1, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-5, -5
], [-4, -4]]]], [[8, 14, 7, 1, 2], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y <
-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[8, 
14, 7, 1, 3], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y < -x-3, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-5, -5], [0, 0]]]], [[8, 14, 7, 1, 4], [v = 1, u = 3^(1
/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [1/2, 1/2], [-5, -5], [2224365/1048576, 
1112183/524288]]]], [[8, 14, 7, 1, 5], [v = 1, u = 3^(1/2), And(0 < x,x < 1),
y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-5, -5], [4, 4]]]], [[9, 1, 4, 4, 1], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0], [-2, -2]]]], [[9, 1, 4,
4, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0]
, [-1, -1]]]], [[9, 1, 4, 4, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2),
x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-1, -1], [0, 0], [0, 0]]]], [[9, 1, 4, 4, 4], [And(1 < v,
v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0, 0], [1, 1]]]], [[9,
1, 4, 4, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, y = 0, 1 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [0
, 0], [2, 2]]]], [[9, 5, 3, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-646847/524288, -646847/524288], [-245119/1048576, -122559
/524288], [-3, -3]]]], [[9, 5, 3, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)
^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-245119/1048576
, -122559/524288], [-1270261/1048576, -317565/262144]]]], [[9, 5, 3, 2, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x <
-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [-245119/1048576, -122559/
524288], [0, 0]]]], [[9, 5, 3, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1
/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-646847/524288, -646847/524288], [-245119/1048576
, -122559/524288], [317565/262144, 1270261/1048576]]]], [[9, 5, 3, 2, 5], [And
(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1
), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [-245119/1048576, -122559/524288], [3, 3]]]], [[9, 7, 4, 1, 1]
, [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2
, z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [-3, -3]]]], [[9, 7, 4
, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y <
u^2-v^2, z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [-1816187/1048576
, -3632373/2097152]]]], [[9, 7, 4, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,
u < -(v^2-1)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 7, 4,
1, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y < u^
2-v^2, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[9, 7, 4, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, y < u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [-2, -2], [3, 3]]]], [[9, 9, 10, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-\
3625039/1048576, -1812519/524288], [-3, -3]]]], [[9, 9, 10, 2, 2], [And(1 < v,
v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[0, 0], [1, 1], [-3625039/1048576, -1812519/524288], [-410915/262144, -3287319
/2097152]]]], [[9, 9, 10, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-
u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0
], [1, 1], [-3625039/1048576, -1812519/524288], [-1/4194304, -1/4194304]]]], [
[9, 9, 10, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [-3625039/1048576, -1812519
/524288], [1643659/1048576, 410915/262144]]]], [[9, 9, 10, 2, 5], [And(1 < v,v
< 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = 1, y = u^2-v^2-2, (
-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
0, 0], [1, 1], [-3625039/1048576, -1812519/524288], [3, 3]]]], [[9, 11, 9, 5,
1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-\
5995789/8388608, -5995789/8388608], [-2, -2]]]], [[9, 11, 9, 5, 2], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u^2+v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [1/2, 1/2], [-5995789/8388608, -\
5995789/8388608], [-485927/1048576, -242963/524288]]]], [[9, 11, 9, 5, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-u
^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-5995789/8388608, -5995789/8388608], [0, 0]]]], [[9, 11
, 9, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/2
], [-5995789/8388608, -5995789/8388608], [242963/524288, 485927/1048576]]]], [
[9, 11, 9, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0
< x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2, 1/
2], [-5995789/8388608, -5995789/8388608], [2, 2]]]], [[9, 15, 11, 6, 1], [And(
1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = u^2-v
^2-x-1, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [2, 2], [-1595187/1048576, -3190373/2097152], [0, 0]]]
], [[9, 17, 8, 9, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, u^2-v
^2-2 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[1, 1], [7, 7], [0, 0]]]], [[10, 5, 10, 3, 1], [v = 2^(1/2), And(-3^(1/2) < u,
u < -v), x = 1, And(-u^2 < y,y < u^2-4), z < -(-y-1)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1]
, [-2, -2], [-2, -2]]]], [[10, 5, 10, 3, 2], [v = 2^(1/2), And(-3^(1/2) < u,u
< -v), x = 1, And(-u^2 < y,y < u^2-4), z = -(-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1],
[-2, -2], [-1, -1]]]], [[10, 5, 10, 3, 3], [v = 2^(1/2), And(-3^(1/2) < u,u <
-v), x = 1, And(-u^2 < y,y < u^2-4), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195
/4194304], [1, 1], [-2, -2], [0, 0]]]], [[10, 5, 10, 3, 4], [v = 2^(1/2), And(
-3^(1/2) < u,u < -v), x = 1, And(-u^2 < y,y < u^2-4), z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [-2, -2], [1, 1]]]], [[10, 5, 10, 3, 5], [v = 2^(1/2), And(-
3^(1/2) < u,u < -v), x = 1, And(-u^2 < y,y < u^2-4), (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [1, 1], [-2, -2], [2, 2]]]], [[10, 7, 11, 2, 1], [v = 2^(1/2), And(-
v < u,u < -1), 1 < x, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2],
[-7429987/2097152, -3714993/1048576], [-3, -3]]]], [[10, 7, 11, 2, 2], [v = 2^
(1/2), And(-v < u,u < -1), 1 < x, y = u^2-x-3, z = -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [-1302471/1048576, -\
651235/524288]]]], [[10, 7, 11, 2, 3], [v = 2^(1/2), And(-v < u,u < -1), 1 < x
, y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [2, 2]
, [-7429987/2097152, -3714993/1048576], [0, 0]]]], [[10, 7, 11, 2, 4], [v = 2^
(1/2), And(-v < u,u < -1), 1 < x, y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [2, 2], [-7429987/2097152, -3714993/1048576], [651235/524288, 
1302471/1048576]]]], [[10, 7, 11, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), 1 <
x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [2, 2], [-7429987/2097152, -\
3714993/1048576], [3, 3]]]], [[10, 11, 9, 9, 1], [v = 2^(1/2), And(0 < u,u < 1
), And(-u^2+1 < x,x < 1), 0 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [7/8, 7/8], [1, 1], [0, 0]]]], [[10, 13, 9, 3, 1
], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-
x+1), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/
8388608], [-2, -2]]]], [[10, 13, 9, 3, 2], [v = 2^(1/2), And(1 < u,u < v), And
(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608], [-16777215/
16777216, -8796092497919/8796093022208]]]], [[10, 13, 9, 3, 3], [v = 2^(1/2),
And(1 < u,u < v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-12582911/8388608,
-12582911/8388608], [-7864319/17592186044416, -7864319/17592186044416]]]], [[
10, 13, 9, 3, 4], [v = 2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(u^2-x-\
3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-12582911/
8388608, -12582911/8388608], [1048575/1048576, 1]]]], [[10, 13, 9, 3, 5], [v =
2^(1/2), And(1 < u,u < v), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), (-
x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608],
[2, 2]]]], [[11, 2, 9, 1, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, y < -x-\
3, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [2, 2], [-6, -6], [-3, -3]]]], [[11, 2, 9, 1, 2], [2^(1/2) < v, u =
-(v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-1738867/524288, -3477733/1048576], [2, 2], [-6, -6], [-2, -2]]]], [[11, 2, 9
, 1, 3], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-1738867/524288, -3477733/
1048576], [2, 2], [-6, -6], [0, 0]]]], [[11, 2, 9, 1, 4], [2^(1/2) < v, u = -(
v^2+2)^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-6, -6], [2, 2]]]], [[11, 2, 9, 1,
5], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [-6, -6],
[3, 3]]]], [[11, 4, 7, 7, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x <
1), 0 < y, z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[1/2, 1/2], [1, 1], [0, 0]]]], [[11, 9, 1, 7, 1], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x < u^2-v^2-1, And(-x < y,y < -u^2+v^2-x-1), z =
z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-4, -4],
[8921643/2097152, 8921643/2097152], [0, 0]]]], [[11, 10, 8, 1, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5, -5], [-3, -3]]]], [[11,
10, 8, 1, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, y < -4, z = -(-y-1)^(1/
2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [-\
5, -5], [-2, -2]]]], [[11, 10, 8, 1, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [1, 1], [-5, -5], [0, 0]]]], [[11, 10, 8
, 1, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5, -5]
, [2, 2]]]], [[11, 10, 8, 1, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, y <
-4, (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [1, 1], [-5, -5], [3, 3]]]], [[11, 15, 11, 2, 1], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-7355465/
2097152, -919433/262144], [-3, -3]]]], [[11, 15, 11, 2, 2], [2^(1/2) < v, And(
(v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-7355465/
2097152, -919433/262144], [-1287385/1048576, -160923/131072]]]], [[11, 15, 11,
2, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [2, 2], [-7355465/2097152, -919433/262144],
[0, 0]]]], [[11, 15, 11, 2, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1
< x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [2, 2], [-7355465/2097152, -919433/262144],
[160923/131072, 1287385/1048576]]]], [[11, 15, 11, 2, 5], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-7355465/
2097152, -919433/262144], [3, 3]]]], [[11, 18, 1, 1, 1], [2^(1/2) < v, u = (v^
2+1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3, -3], [-1, -1], [-3, -3]]]], [[11, 18, 1,
1, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [-1, -1], [
-2, -2]]]], [[11, 18, 1, 1, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y < 0
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[11, 18, 1, 1, 4], [2
^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [-1, -1], [
2, 2]]]], [[11, 18, 1, 1, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y < 0,
(-x-y)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [
-3, -3], [-1, -1], [3, 3]]]], [[11, 21, 11, 1, 1], [2^(1/2) < v, (v^2+2)^(1/2)
< u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [5, 5], [16, 16], [-34, -34], [-6, -6]]]], [[11, 21, 11, 1, 2], [2^(1/2) <
v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [16, 16], [-34, -34], [-1112183/262144, -\
4448731/1048576]]]], [[11, 21, 11, 1, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [5, 5], [16, 16], [-34, -34], [0, 0]]]], [[11, 21, 11,
1, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[3, 3], [5, 5], [16, 16], [-34, -34], [4448731/
1048576, 1112183/262144]]]], [[11, 21, 11, 1, 5], [2^(1/2) < v, (v^2+2)^(1/2)
< u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3,
3], [5, 5], [16, 16], [-34, -34], [6, 6]]]], [[1, 5, 1, 4, 1], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3,
-3], [197471/131072, 1579769/1048576], [-3, -3]]]], [[1, 5, 1, 4, 2], [v < -2^
(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072]
, [-3, -3], [197471/131072, 1579769/1048576], [-1281417/1048576, -160177/
131072]]]], [[1, 5, 1, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/
2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [
197471/131072, 1579769/1048576], [0, 0]]]], [[1, 5, 1, 4, 4], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -\
3], [197471/131072, 1579769/1048576], [160177/131072, 1281417/1048576]]]], [[1
, 5, 1, 4, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-3, -3], [197471/131072, 1579769/1048576], [3, 3]]]]
, [[1, 7, 2, 3, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-\
1, And(0 < y,y < -2*u^2+2*v^2), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/
262144], [133001/262144, 133001/262144], [-3, -3]]]], [[1, 7, 2, 3, 2], [v < -
2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*
v^2), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152
, -6111549/2097152], [-3161161/2097152, -395145/262144], [133001/262144, 
133001/262144], [-1048577/1048576, -1]]]], [[1, 7, 2, 3, 3], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), And
(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -\
3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144],
[133001/262144, 133001/262144], [0, 0]]]], [[1, 7, 2, 3, 4], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z =
(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3161161/2097152, -395145/262144], [133001/262144, 133001/262144],
[1, 1048577/1048576]]]], [[1, 7, 2, 3, 5], [v < -2^(1/2), And(v < u,u < -(v^2-\
1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), (-u^2+v^2-y+1)^(1/2) <
z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161
/2097152, -395145/262144], [133001/262144, 133001/262144], [3, 3]]]], [[1, 11,
1, 3, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^
2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [0, 0], [-11, -11], [1/2, 1/2], [-5, -5]]]], [[1, 11, 1, 3, 2], [v < -2^(1/2
), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2
-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11],
[1/2, 1/2], [-3397775/1048576, -1698887/524288]]]], [[1, 11, 1, 3, 3], [v < -2
^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y
< u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3
, -3], [0, 0], [-11, -11], [1/2, 1/2], [0, 0]]]], [[1, 11, 1, 3, 4], [v < -2^(
1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y <
u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11]
, [1/2, 1/2], [1698887/524288, 3397775/1048576]]]], [[1, 11, 1, 3, 5], [v < -2
^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(0 < y,y
< u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-11, -\
11], [1/2, 1/2], [5, 5]]]], [[1, 12, 7, 6, 1], [v < -2^(1/2), u = (v^2-2)^(1/2
), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 18, 3, 7, 1], [v < -
2^(1/2), u = (v^2+1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain
, [[-3, -3], [207243/65536, 3315889/1048576], [-3/2, -3/2], [3, 3], [0, 0]]]],
[[1, 20, 2, 4, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y = 3, z < 0], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [3, 3],
[-1, -1]]]], [[1, 20, 2, 4, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y =
3, z = 0], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3,
-3], [3, 3], [0, 0]]]], [[1, 20, 2, 4, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x
= -3, y = 3, 0 < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-3, -3], [3, 3], [1, 1]]]], [[2, 2, 8, 4, 1], [v = -2^(1/2), u = -2,
x = 1, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
2, -2], [1, 1], [-1, -1], [-1, -1]]]], [[2, 2, 8, 4, 2], [v = -2^(1/2), u = -2
, x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [1, 1], [-1, -1], [0, 0]]]], [[2, 2, 8, 4, 3], [v = -2^(1/2), u = -2
, x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288],
[-2, -2], [1, 1], [-1, -1], [1, 1]]]], [[2, 4, 7, 3, 1], [v = -2^(1/2), u = -3
^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[2, 4, 7, 3, 2], [v
= -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576
, -3632373/2097152], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[2, 4, 7, 3, 3],
[v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/2], [0, 0
]]]], [[2, 4, 7, 3, 4], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x-\
2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/2], [1, 1
]]]], [[2, 4, 7, 3, 5], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), And(-x-\
2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-3/2, -3/2], [2, 2
]]]], [[2, 7, 5, 3, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+
1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [-3415591/8388608, -3415591/8388608], [-3, -3]]]],
[[2, 7, 5, 3, 2], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), 
And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-3415591/8388608, -3415591/8388608], [-1117471/1048576, -\
558735/524288]]]], [[2, 7, 5, 3, 3], [v = -2^(1/2), And(v < u,u < -1), And(-1
< x,x < -u^2+1), And(u^2-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-3415591/8388608, -\
3415591/8388608], [0, 0]]]], [[2, 7, 5, 3, 4], [v = -2^(1/2), And(v < u,u < -1
), And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-3415591/8388608, -\
3415591/8388608], [558735/524288, 1117471/1048576]]]], [[2, 7, 5, 3, 5], [v =
-2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), (
-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [-\
3415591/8388608, -3415591/8388608], [3, 3]]]], [[2, 9, 4, 6, 1], [v = -2^(1/2)
, And(-1 < u,u < 0), x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-1, -1], [1, 1], [-1, -1]]]], [[2, 9, 4, 6,
2], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, y = 1, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [1, 1], [0, 0]]]],
[[2, 9, 4, 6, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, y = 1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [1
, 1], [1, 1]]]], [[2, 13, 3, 6, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-\
3 < x,x < -1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [853897/1048576, 426949/524288], [-2, -2]]]], [[2,
13, 3, 6, 2], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = -u^
2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [-1417877/2097152, -354469/524288]]]], [[2, 13
, 3, 6, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = -u^2-
x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [853897/1048576, 426949/524288], [0, 0]]]], [[2, 
13, 3, 6, 4], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = -u^
2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [354469/524288, 708939/1048576]]]], [[2, 13, 3
, 6, 5], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = -u^2-x+1
, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
853897/1048576, 426949/524288], [2, 2]]]], [[2, 15, 4, 5, 1], [v = -2^(1/2), 
And(-v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1, -1], [497805/2097152, 497805/2097152], [-2, -2]]]], [[2, 15, 4,
5, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), z
= -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097
/2097152, 3299097/2097152], [-1, -1], [497805/2097152, 497805/2097152], [-\
3662827/4194304, -1831413/2097152]]]], [[2, 15, 4, 5, 3], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^2-2), And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1, -1], [497805/2097152, 497805/2097152], [-1/
4194304, -1/4194304]]]], [[2, 15, 4, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^(1
/2)), x = -1, And(0 < y,y < u^2-2), z = (1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1]
, [497805/2097152, 497805/2097152], [457853/524288, 915707/1048576]]]], [[2, 
15, 4, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(0 < y,y < u^
2-2), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-1, -1], [497805/2097152, 497805/2097152],
[2, 2]]]], [[3, 1, 5, 4, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 1, 5, 4
, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[3, 1, 5,
4, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[3, 1, 5, 4, 4],
[And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[3, 1, 5, 4, 5], [And(
-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2,
-1/2], [0, 0], [2, 2]]]], [[3, 3, 2, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [4, 4], [0, 0]]]], [[3
, 7, 5, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-\
1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-1794615/4194304, -\
1794615/4194304], [-3, -3]]]], [[3, 7, 5, 3, 2], [And(-2^(1/2) < v,v < -1), 
And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y
,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [-1794615/4194304, -1794615/4194304], [-1120861/1048576, -280215/
262144]]]], [[3, 7, 5, 3, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1
)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [-1794615/4194304, -1794615/4194304], [0, 0]]]], [[3, 7, 5, 3, 4], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v
^2-1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
1498947/2097152, -1498947/2097152], [-1794615/4194304, -1794615/4194304], [
280215/262144, 1120861/1048576]]]], [[3, 7, 5, 3, 5], [And(-2^(1/2) < v,v < -1
), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(u^2-v^2-x-1
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [-1794615/4194304, -1794615/4194304], [3, 3]]]], [[3, 9, 4, 6, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y
= 1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
1, -1], [1, 1], [-1, -1]]]], [[3, 9, 4, 6, 2], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [1, 1], [0, 0]]]], [[
3, 9, 4, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1, -1], [1, 1], [1, 1]]]], [[3, 17, 9, 3, 1], [And(-2^(1/2
) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-33734339/4194304, -\
33734339/4194304], [-4, -4]]]], [[3, 17, 9, 3, 2], [And(-2^(1/2) < v,v < -1),
(v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/4194304], [-\
2167143/1048576, -1083571/524288]]]], [[3, 17, 9, 3, 3], [And(-2^(1/2) < v,v <
-1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-33734339/
4194304, -33734339/4194304], [0, 0]]]], [[3, 17, 9, 3, 4], [And(-2^(1/2) < v,v
< -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [7909297/2097152, 7909297/2097152], [-33734339/4194304, -33734339/
4194304], [1083571/524288, 2167143/1048576]]]], [[3, 17, 9, 3, 5], [And(-2^(1/
2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-33734339/4194304, -\
33734339/4194304], [4, 4]]]], [[4, 2, 4, 6, 1], [v = -1, u = -3^(1/2), x = -1,
y = 1, z < 0], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152]
, [-1, -1], [1, 1], [-1, -1]]]], [[4, 2, 4, 6, 2], [v = -1, u = -3^(1/2), x =
-1, y = 1, z = 0], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [1, 1], [0, 0]]]], [[4, 2, 4, 6, 3], [v = -1, u = -3^(1/2)
, x = -1, y = 1, 0 < z], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1, 1], [1, 1]]]], [[4, 6, 4, 1, 1], [v = -1, u =
-1, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [0,
0], [-2, -2], [-3, -3]]]], [[4, 6, 4, 1, 2], [v = -1, u = -1, x = 0, y < -1, z
= -(-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[4, 6, 4, 1, 3], [v = -1, u = -1, x = 0,
y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1,
-1], [0, 0], [-2, -2], [0, 0]]]], [[4, 6, 4, 1, 4], [v = -1, u = -1, x = 0, y
< -1, z = (-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-2, -2],
[741455/524288, 1482911/1048576]]]], [[4, 6, 4, 1, 5], [v = -1, u = -1, x = 0,
y < -1, (-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-2, -2]
, [3, 3]]]], [[4, 8, 5, 2, 1], [v = -1, u = 0, And(-1 < x,x < 0), y = -x-2, z
< -2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3/2, -3/2], [-\
3, -3]]]], [[4, 8, 5, 2, 2], [v = -1, u = 0, And(-1 < x,x < 0), y = -x-2, z =
-2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3/2, -3/2], [-\
1482911/1048576, -741455/524288]]]], [[4, 8, 5, 2, 3], [v = -1, u = 0, And(-1
< x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1
], [0, 0], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[4, 8, 5, 2, 4], [v = -1, u
= 0, And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1, -1], [0,
0], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[4, 8, 5
, 2, 5], [v = -1, u = 0, And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[4,
14, 1, 9, 1], [v = -1, u = 3^(1/2), x < -3, 1-x < y, z = z], [regular_chain, [
[-1, -1], [908093/524288, 1816187/1048576], [-4, -4], [6, 6], [0, 0]]]], [[4,
15, 10, 3, 1], [v = -1, 3^(1/2) < u, x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2),
z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [7, 7], [-23/2, -23
/2], [-4, -4]]]], [[4, 15, 10, 3, 2], [v = -1, 3^(1/2) < u, x = u^2-2, And(-2*
u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [3,
3], [7, 7], [-23/2, -23/2], [-1112183/524288, -2224365/1048576]]]], [[4, 15, 
10, 3, 3], [v = -1, 3^(1/2) < u, x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), And(
-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [3, 3
], [7, 7], [-23/2, -23/2], [0, 0]]]], [[4, 15, 10, 3, 4], [v = -1, 3^(1/2) < u
, x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [7, 7], [-23/2, -23/2], [2224365/1048576, 
1112183/524288]]]], [[4, 15, 10, 3, 5], [v = -1, 3^(1/2) < u, x = u^2-2, And(-\
2*u^2+2 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [3,
3], [7, 7], [-23/2, -23/2], [4, 4]]]], [[5, 4, 6, 2, 1], [And(-1 < v,v < 0), u
= -(v^2+1)^(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2],
[-146543/131072, -1172343/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[5, 4, 6,
2, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0], [-2,
-2], [-1482911/1048576, -741455/524288]]]], [[5, 4, 6, 2, 3], [And(-1 < v,v <
0), u = -(v^2+1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0], [-2,
-2], [0, 0]]]], [[5, 4, 6, 2, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x =
0, y = -2, z = 2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[5,
4, 6, 2, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, y = -2, 2^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0],
[-2, -2], [3, 3]]]], [[5, 6, 5, 5, 1], [And(-1 < v,v < 0), u = v, And(0 < x,x
< 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[5, 9, 5, 7, 1], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [1/2, 1/2], [-2, -2]]]
], [[5, 9, 5, 7, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [1/2, 1/2], [-1144335/2097152, -572167/1048576]]]]
, [[5, 9, 5, 7, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [-1672995/2097152, -1672995/2097152], [1/2, 1/2], [0, 0]]]], [[5, 9, 5, 7, 4
], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1
), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152],
[1/2, 1/2], [572167/1048576, 71521/131072]]]], [[5, 9, 5, 7, 5], [And(-1 < v,v
< 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-\
1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [1/2, 1/2], [
2, 2]]]], [[5, 11, 5, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-\
3, -3], [-3, -3]]]], [[5, 11, 5, 1, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)
], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2]
, [-3, -3], [-7846825/4194304, -980853/524288]]]], [[5, 11, 5, 1, 3], [And(-1
< v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -
u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[5,
11, 5, 1, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2
, -1/2], [343151/262144, 343151/262144], [-1/2, -1/2], [-3, -3], [980853/
524288, 1961707/1048576]]]], [[5, 11, 5, 1, 5], [And(-1 < v,v < 0), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1/2
, -1/2], [-3, -3], [3, 3]]]], [[6, 1, 10, 6, 1], [v = 0, u < -2^(1/2), x = u^2
-1, y = 0, z = z], [regular_chain, [[0, 0], [-3, -3], [8, 8], [0, 0], [0, 0]]]
], [[6, 3, 8, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y = -2*u^2,
z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [239655/524288, 479311/1048576], [-6111547/2097152, -24446187/
8388608], [-3, -3]]]], [[6, 3, 8, 2, 2], [v = 0, And(-2^(1/2) < u,u < -1), x =
u^2-1, y = -2*u^2, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [239655/524288, 479311/1048576], [-6111547/2097152
, -24446187/8388608], [-410915/262144, -3287319/2097152]]]], [[6, 3, 8, 2, 3],
[v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y = -2*u^2, And(-(u^2+1)^(1/2) <
z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [239655/524288, 479311/1048576], [-6111547/2097152, -24446187/
8388608], [-1/4194304, -1/4194304]]]], [[6, 3, 8, 2, 4], [v = 0, And(-2^(1/2)
< u,u < -1), x = u^2-1, y = -2*u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0
], [-1265743/1048576, -1265743/1048576], [239655/524288, 479311/1048576], [-\
6111547/2097152, -24446187/8388608], [1643659/1048576, 410915/262144]]]], [[6,
3, 8, 2, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y = -2*u^2, (u^2+1)^
(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
239655/524288, 479311/1048576], [-6111547/2097152, -24446187/8388608], [3, 3]]
]], [[6, 9, 5, 8, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), y = u
^2-x-1, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
-1/2, -1/2], [501799/524288, 1003599/1048576], [0, 0]]]], [[6, 11, 3, 4, 1], [
v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [0, 0], [-4, -4]]]], [[6, 11,
3, 4, 2], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)]
, [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [0, 0], [-2459129/1048576,
-307391/131072]]]], [[6, 11, 3, 4, 3], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x <
-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [3,
3], [-11/2, -11/2], [0, 0], [0, 0]]]], [[6, 11, 3, 4, 4], [v = 0, 2^(1/2) < u,
And(-u^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [3, 3
], [-11/2, -11/2], [0, 0], [307391/131072, 2459129/1048576]]]], [[6, 11, 3, 4,
5], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [0, 0], [4, 4]]]], [[7, 3, 9,
2, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-
v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/
2097152], [-418813/131072, -3350503/1048576], [-3, -3]]]], [[7, 3, 9, 2, 2], [
And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/
2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-\
418813/131072, -3350503/1048576], [-3291611/2097152, -1645805/1048576]]]], [[7
, 3, 9, 2, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^
2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144
], [1534619/2097152, 1534619/2097152], [-418813/131072, -3350503/1048576], [0,
0]]]], [[7, 3, 9, 2, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/
2097152, 1534619/2097152], [-418813/131072, -3350503/1048576], [1645805/
1048576, 822903/524288]]]], [[7, 3, 9, 2, 5], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [1534619/2097152, 1534619/2097152], [-418813/131072, -3350503/1048576
], [3, 3]]]], [[7, 5, 8, 3, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u <
-v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-1,
-1], [-2, -2]]]], [[7, 5, 8, 3, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-1,
-1], [-1, -1]]]], [[7, 5, 8, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y
)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[0, 0], [-1, -1], [0, 0]]]], [[7, 5, 8, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)
^(1/2) < u,u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), z = (-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-1
, -1], [1, 1]]]], [[7, 5, 8, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), x = 0, And(-u^2+v^2-1 < y,y < u^2-v^2-1), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-1,
-1], [2, 2]]]], [[8, 1, 3, 9, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1),
u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [-3, -3], [-5, -5], [13, 13], [0
, 0]]]], [[8, 2, 9, 8, 1], [v = 1, u = -3^(1/2), 1 < x, y = 0, z = z], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [0, 0],
[0, 0]]]], [[8, 7, 3, 8, 1], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1),
y = -x, z < 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [11/8,
11/8], [-1, -1]]]], [[8, 7, 3, 8, 2], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x
,x < -1), y = -x, z = 0], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8
], [11/8, 11/8], [0, 0]]]], [[8, 7, 3, 8, 3], [v = 1, And(-1 < u,u < 0), And(u
^2-2 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/
8, -11/8], [11/8, 11/8], [1, 1]]]], [[8, 9, 2, 5, 1], [v = 1, And(0 < u,u < 1)
, x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [13/8, 13/8], [-2, -2]]]], [
[8, 9, 2, 5, 2], [v = 1, And(0 < u,u < 1), x = u^2-2, And(-2*u^2+2 < y,y < -u^
2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4
], [13/8, 13/8], [-46341/131072, -370727/1048576]]]], [[8, 9, 2, 5, 3], [v = 1
, And(0 < u,u < 1), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+2)^(
1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -\
7/4], [13/8, 13/8], [0, 0]]]], [[8, 9, 2, 5, 4], [v = 1, And(0 < u,u < 1), x =
u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [regular_chain, [[
1, 1], [1/2, 1/2], [-7/4, -7/4], [13/8, 13/8], [370727/1048576, 46341/131072]]
]], [[8, 9, 2, 5, 5], [v = 1, And(0 < u,u < 1), x = u^2-2, And(-2*u^2+2 < y,y
< -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [1/2, 1/2], [-7/4,
-7/4], [13/8, 13/8], [2, 2]]]], [[8, 14, 7, 6, 1], [v = 1, u = 3^(1/2), And(0
< x,x < 1), y = 0, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[9, 1, 4, 5, 1], [And(1 < v,v < 2^(1
/2)), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [1/2,
1/2], [-2, -2]]]], [[9, 1, 4, 5, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/
2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [1/2, 1/2], [-1482911/2097152,
-741455/1048576]]]], [[9, 1, 4, 5, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(
1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [1/2,
1/2], [0, 0]]]], [[9, 1, 4, 5, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2)
, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [1/2, 1/2], [741455/1048576, 
46341/65536]]]], [[9, 1, 4, 5, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2)
, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[9, 5,
3, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^
2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [3, 3], [0, 0]]]], [[9, 7, 4, 4, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0,
0], [-2, -2]]]], [[9, 7, 4, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v
^2-1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [-1,
-1]]]], [[9, 7, 4, 4, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/
2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [0,
0]]]], [[9, 7, 4, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2
)), x = -1, y = 0, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3949363/4194304, -3949363/4194304], [-1, -1], [0, 0], [1, 1]]]], [[9, 7, 4
, 4, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y =
0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [0, 0], [2, 2]]]], [[9, 9, 9, 8, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^
2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [0, 0], [0, 0]]]], [[9,
11, 8, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, 
And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-450371/2097152
, -450371/2097152], [-2, -2]]]], [[9, 11, 8, 5, 2], [And(1 < v,v < 2^(1/2)), 
And((v^2-1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [0, 0], [-450371/2097152, -450371/2097152], [-485927/1048576,
-242963/524288]]]], [[9, 11, 8, 5, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [0, 0], [-450371/2097152, -450371/2097152], [0, 0]]]], [[9,
11, 8, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, 
And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-450371/2097152,
-450371/2097152], [242963/524288, 485927/1048576]]]], [[9, 11, 8, 5, 5], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, And(-u^2+v^2-1 < y,y
< 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [-450371/2097152, -450371/2097152], [
2, 2]]]], [[9, 15, 11, 5, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), 1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [
-3692339/2097152, -3692339/2097152], [0, 0]]]], [[9, 17, 8, 4, 1], [And(1 < v,
v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y = -1, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-1, -1], [-1, -1]]]], [[9,
17, 8, 4, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, y = -1, z = 0
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-1, -\
1], [0, 0]]]], [[9, 17, 8, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u,
x = 1, y = -1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [1, 1], [-1, -1], [1, 1]]]], [[10, 5, 9, 9, 1], [v = 2^(1/2), And(-3^(1/
2) < u,u < -v), And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2, 1/2], [1
, 1], [0, 0]]]], [[10, 7, 10, 4, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1,
y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/1048576, -\
763943/524288], [-2, -2]]]], [[10, 7, 10, 4, 2], [v = 2^(1/2), And(-v < u,u <
-1), x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/
1048576, -763943/524288], [-1417877/2097152, -354469/524288]]]], [[10, 7, 10,
4, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y = -u^2, And(-(u^2-1)^(1/2) <
z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288]
, [0, 0]]]], [[10, 7, 10, 4, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y =
-u^2, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1265743/1048576, -1265743/1048576], [1, 1], [-1527887/1048576, -763943/524288
], [354469/524288, 708939/1048576]]]], [[10, 7, 10, 4, 5], [v = 2^(1/2), And(-
v < u,u < -1), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
1527887/1048576, -763943/524288], [2, 2]]]], [[10, 11, 9, 8, 1], [v = 2^(1/2),
And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = 0, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [0, 0], [0, 0]]]], [[
10, 13, 8, 5, 1], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(-u^2+1 < y,y < 0)
, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576],
[-2, -2]]]], [[10, 13, 8, 5, 2], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(-u
^2+1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-239655/1048576, -\
239655/1048576], [-501295/1048576, -250647/524288]]]], [[10, 13, 8, 5, 3], [v
= 2^(1/2), And(1 < u,u < v), x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z
,z < (-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743
/1048576, 1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576], [0, 0]
]]], [[10, 13, 8, 5, 4], [v = 2^(1/2), And(1 < u,u < v), x = 0, And(-u^2+1 < y
,y < 0), z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576],
[250647/524288, 501295/1048576]]]], [[10, 13, 8, 5, 5], [v = 2^(1/2), And(1 <
u,u < v), x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [
-239655/1048576, -239655/1048576], [2, 2]]]], [[11, 2, 9, 8, 1], [2^(1/2) < v,
u = -(v^2+2)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [2, 2], [0, 0], [0, 0]]]], [[11, 4, 8, 3, 1], [2^(1
/2) < v, u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [-2, -2], [
-2, -2]]]], [[11, 4, 8, 3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, And(-3
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [1, 1], [-2, -2], [-1, -1]]]], [[11, 4, 8, 3, 3], [2^(1/2) < v,
u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1
)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1],
[-2, -2], [0, 0]]]], [[11, 4, 8, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [1, 1], [-2, -2], [1, 1]]]], [[11, 4, 8, 3, 5], [2^(1
/2) < v, u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [-2, -2], [
2, 2]]]], [[11, 9, 2, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)
^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)],
[regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [2630187/2097152, 2630187/2097152], [-3, -3]]]], [[
11, 9, 2, 3, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [2630187/2097152, 2630187/2097152], [-1174299/
1048576, -587149/524288]]]], [[11, 9, 2, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u
^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [
2630187/2097152, 2630187/2097152], [0, 0]]]], [[11, 9, 2, 3, 4], [2^(1/2) < v,
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+
v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [-657547/262144, -5260375/2097152], [2630187/2097152, 
2630187/2097152], [587149/524288, 1174299/1048576]]]], [[11, 9, 2, 3, 5], [2^(
1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y
,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [
2630187/2097152, 2630187/2097152], [3, 3]]]], [[11, 10, 8, 2, 1], [2^(1/2) < v
, u = -(v^2-2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain, [[3, 3], [
-5548543/2097152, -2774271/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[11, 10,
8, 2, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [-4, -4]
, [-1816187/1048576, -3632373/2097152]]]], [[11, 10, 8, 2, 3], [2^(1/2) < v, u
= -(v^2-2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [-4, -4]
, [-1/4194304, -1/4194304]]]], [[11, 10, 8, 2, 4], [2^(1/2) < v, u = -(v^2-2)^
(1/2), x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152
, -2774271/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[
11, 10, 8, 2, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, y = -4, 3^(1/2) < z
], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [-4,
-4], [3, 3]]]], [[11, 15, 11, 9, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v
), 1 < x, 0 < y, z = z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [2, 2], [1, 1], [0, 0]]]], [[11, 18, 1, 4, 1], [2^(1/2) < v, u = (v^
2+1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[11, 18, 1, 4, 2], [2
^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [regular_chain
, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [1, 1], [-1482911/
1048576, -741455/524288]]]], [[11, 18, 1, 4, 3], [2^(1/2) < v, u = (v^2+1)^(1/
2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3],
[207243/65536, 3315889/1048576], [-3, -3], [1, 1], [0, 0]]]], [[11, 18, 1, 4,
4], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [1, 1], [
741455/524288, 1482911/1048576]]]], [[11, 18, 1, 4, 5], [2^(1/2) < v, u = (v^2
+1)^(1/2), x < -2, y = -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [207243/
65536, 3315889/1048576], [-3, -3], [1, 1], [3, 3]]]], [[11, 21, 11, 6, 1], [2^
(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [
regular_chain, [[3, 3], [5, 5], [16, 16], [-1, -1], [0, 0]]]], [[1, 2, 1, 3, 1
], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4,
-4], [1/2, 1/2], [-3, -3]]]], [[1, 2, 1, 3, 2], [v < -2^(1/2), u = -(v^2+2)^(1
/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3
], [-1738867/524288, -3477733/1048576], [-4, -4], [1/2, 1/2], [-7846825/
4194304, -980853/524288]]]], [[1, 2, 1, 3, 3], [v < -2^(1/2), u = -(v^2+2)^(1/
2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [1/2,
1/2], [0, 0]]]], [[1, 2, 1, 3, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3,
And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/
1048576]]]], [[1, 2, 1, 3, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(
0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[1, 3, 9, 8, 1],
[v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 1), y = 0, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/
1048576], [1566621/2097152, 1566621/2097152], [0, 0], [0, 0]]]], [[1, 8, 1, 2,
1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [0,
0], [-3, -3]]]], [[1, 8, 1, 2, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2,
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]],
[[1, 8, 1, 2, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 8, 1, 2
, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [0,
0], [908093/524288, 1816187/1048576]]]], [[1, 8, 1, 2, 5], [v < -2^(1/2), u =
-(v^2-1)^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [0, 0], [3, 3]]]], [[1, 9, 11,
5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(-
x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [-22960369/8388608
, -22960369/8388608], [2, 2], [-3661269/2097152, -3661269/2097152], [0, 0]]]],
[[1, 15, 3, 6, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1
< x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [
399003/524288, 798007/1048576], [-2, -2]]]], [[1, 15, 3, 6, 2], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [399003/524288, 798007/1048576], [
-735979/1048576, -1471957/2097152]]]], [[1, 15, 3, 6, 3], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [399003/
524288, 798007/1048576], [-1/4194304, -1/4194304]]]], [[1, 15, 3, 6, 4], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v
^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-657289/524288, -657289/524288], [399003/524288, 798007/
1048576], [367989/524288, 735979/1048576]]]], [[1, 15, 3, 6, 5], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
(u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [399003/524288, 798007/1048576], [
2, 2]]]], [[1, 17, 4, 5, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, And(0 < y,y < u^2-v^2), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [-2
, -2]]]], [[1, 17, 4, 5, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x =
-1, And(0 < y,y < u^2-v^2), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [-\
3640339/4194304, -1820169/2097152]]]], [[1, 17, 4, 5, 3], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[-1, -1], [517383/2097152, 517383/2097152], [-1/4194304, -1/4194304]]]], [[1,
17, 4, 5, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,
y < u^2-v^2), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [227521/262144, 
910085/1048576]]]], [[1, 17, 4, 5, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(
1/2)), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/2) < z], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1, -1], [517383/2097152, 517383/2097152
], [2, 2]]]], [[1, 21, 3, 5, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^
2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3,
-3], [5, 5], [-9, -9], [9/2, 9/2], [-4, -4]]]], [[1, 21, 3, 5, 2], [v < -2^(1/
2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [9/2, 9/2], [-1112183
/524288, -2224365/1048576]]]], [[1, 21, 3, 5, 3], [v < -2^(1/2), (v^2+2)^(1/2)
< u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [9/2, 9/2], [0, 0
]]]], [[1, 21, 3, 5, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,
x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5,
5], [-9, -9], [9/2, 9/2], [2224365/1048576, 1112183/524288]]]], [[1, 21, 3, 5,
5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [9/2, 9
/2], [4, 4]]]], [[2, 1, 9, 6, 1], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3),
y = 0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[7/2, 7/2], [0, 0], [0, 0]]]], [[2, 10, 3, 4, 1], [v = -2^(1/2), u = 0, And(-3
< x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-2, -2], [0, 0], [-3, -3]]]], [[2, 10, 3, 4, 2], [v =
-2^(1/2), u = 0, And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [0, 0], [-1482911/
1048576, -741455/524288]]]], [[2, 10, 3, 4, 3], [v = -2^(1/2), u = 0, And(-3 <
x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-2, -2], [0, 0], [0, 0]]]], [[2, 10
, 3, 4, 4], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [0, 0],
[741455/524288, 1482911/1048576]]]], [[2, 10, 3, 4, 5], [v = -2^(1/2), u = 0,
And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [0, 0], [-2, -2], [0, 0], [3, 3]]]], [[2, 11, 11, 7, 1], [v
= -2^(1/2), And(0 < u,u < 1), 1 < x, And(-u^2-x+1 < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-5/8,
-5/8], [0, 0]]]], [[2, 16, 3, 7, 1], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x
< -1), -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
908093/524288, 1816187/1048576], [-3/2, -3/2], [3, 3], [0, 0]]]], [[2, 18, 2,
4, 1], [v = -2^(1/2), u = 2, x = -3, y = 3, z < 0], [regular_chain, [[-1482911
/1048576, -741455/524288], [2, 2], [-3, -3], [3, 3], [-1, -1]]]], [[2, 18, 2,
4, 2], [v = -2^(1/2), u = 2, x = -3, y = 3, z = 0], [regular_chain, [[-1482911
/1048576, -741455/524288], [2, 2], [-3, -3], [3, 3], [0, 0]]]], [[2, 18, 2, 4,
3], [v = -2^(1/2), u = 2, x = -3, y = 3, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [2, 2], [-3, -3], [3, 3], [1, 1]]]], [[3, 4, 1, 5, 1
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-410915/262144, -3287319/2097152], [-3, -3], [2, 2], [-2, -2]]]], [[3, 4, 1, 5
, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-410915/262144, -3287319/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[3, 4, 1
, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, And(-x-2 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [2,
2], [0, 0]]]], [[3, 4, 1, 5, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2)
, x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [2,
2], [1, 1]]]], [[3, 4, 1, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2)
, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [2,
2], [2, 2]]]], [[3, 5, 11, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2
) < u,u < v), 1 < x, y = 0, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [0, 0], [0, 0]
]]], [[3, 10, 4, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1,
y < -1, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[
3, 10, 4, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y < -1,
z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[3, 10, 4, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1,
-1], [-2, -2], [-1/4194304, -1/4194304]]]], [[3, 10, 4, 1, 4], [And(-2^(1/2) <
v,v < -1), u = (v^2-1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1,
-1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[3, 10, 4, 1, 5], [And(-2
^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [-2, -2], [3, 3]]]], [[3, 12, 3, 2, 1], [And(-2^(1/2) < v,
v < -1), u = -v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2,
-1/2], [-1/2, -1/2], [-2, -2]]]], [[3, 12, 3, 2, 2], [And(-2^(1/2) < v,v < -1)
, u = -v, And(-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2],
[-1/2, -1/2], [-1, -1]]]], [[3, 12, 3, 2, 3], [And(-2^(1/2) < v,v < -1), u = -
v, And(-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2],
[-1/2, -1/2], [0, 0]]]], [[3, 12, 3, 2, 4], [And(-2^(1/2) < v,v < -1), u = -v,
And(-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/2, -1/
2], [1, 1]]]], [[3, 12, 3, 2, 5], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 <
x,x < 0), y = -1-x, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2], [-1/2, -1/2], [2,
2]]]], [[3, 15, 2, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-\
1299559/524288, -2599117/1048576], [0, 0], [-3, -3]]]], [[3, 15, 2, 2, 2], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v
^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/
1048576], [0, 0], [-3301741/2097152, -825435/524288]]]], [[3, 15, 2, 2, 3], [
And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v
^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [0, 0], [0, 0]]]], [[3, 15, 2, 2
, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/
1048576], [0, 0], [825435/524288, 1650871/1048576]]]], [[3, 15, 2, 2, 5], [And
(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-\
1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576]
, [0, 0], [3, 3]]]], [[3, 16, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-1/2, -1/2], [0,
0]]]], [[4, 3, 5, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x
< 0), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-1/2, -1/2], [-16565363/16777216, -\
16565363/16777216], [-3, -3]]]], [[4, 3, 5, 3, 2], [v = -1, And(-3^(1/2) < u,u
< -2^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-16565363/16777216, -16565363/16777216], [-639411/524288, -1278821/1048576]]]
], [[4, 3, 5, 3, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0
), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-16565363/16777216, -16565363/16777216], [0, 0]]]], [[4, 3, 5, 3, 4], [v = -1
, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [-16565363/16777216, -16565363/16777216], [1278821/
1048576, 639411/524288]]]], [[4, 3, 5, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2
^(1/2)), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[-16565363/16777216, -16565363/16777216], [3, 3]]]], [[4, 5, 4, 6, 1], [v = -1
, And(-2^(1/2) < u,u < -1), x = -1, y = u^2-1, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
239655/524288, 479311/1048576], [-2, -2]]]], [[4, 5, 4, 6, 2], [v = -1, And(-2
^(1/2) < u,u < -1), x = -1, y = u^2-1, z = -(-u^2+2)^(1/2)], [regular_chain, [
[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [239655/524288, 
479311/1048576], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 4, 6, 3], [v
= -1, And(-2^(1/2) < u,u < -1), x = -1, y = u^2-1, And(-(-u^2+2)^(1/2) < z,z <
(-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [239655/524288, 479311/1048576], [-1/4194304, -1/4194304]]
]], [[4, 5, 4, 6, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y = u^2-1, z
= (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [239655/524288, 479311/1048576], [193151/262144, 772605/
1048576]]]], [[4, 5, 4, 6, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y =
u^2-1, (-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [239655/524288, 479311/1048576], [2, 2]]]], [[4, 
11, 4, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y < -u^2+1, z < -(1-y)^
(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1
], [-2, -2], [-3, -3]]]], [[4, 11, 4, 1, 2], [v = -1, And(1 < u,u < 2^(1/2)),
x = -1, y < -u^2+1, z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[4, 11, 4, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y < -
u^2+1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304
]]]], [[4, 11, 4, 1, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y < -u^2+1,
z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[4, 11, 4, 1, 5],
[v = -1, And(1 < u,u < 2^(1/2)), x = -1, y < -u^2+1, (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [-2, -\
2], [3, 3]]]], [[4, 13, 3, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-
u^2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [0, 0], [-3,
-3]]]], [[4, 13, 3, 4, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x
,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152
, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [0, 0], [-691061/
524288, -1382121/1048576]]]], [[4, 13, 3, 4, 3], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), And(-u^2 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [0, 0], [0, 0]]]], [[4, 13, 3, 4, 4], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [0, 0], [1382121/1048576, 691061/524288]]]], [[4,
13, 3, 4, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y =
0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-3643533/2097152, -3643533/2097152], [0, 0], [3, 3]]]], [[5, 1, 8,
9, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = 1, u^2-v^2-2 < y, z = z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [1, 1], [8, 8], [0, 0]]]], [[5, 3, 6,
3, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0,
And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [0, 0], [-1291597/1048576, -1291597/1048576],
[-3, -3]]]], [[5, 3, 6, 3, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [-\
1291597/1048576, -1291597/1048576], [-1163761/1048576, -72735/65536]]]], [[5,
3, 6, 3, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [-\
1291597/1048576, -1291597/1048576], [0, 0]]]], [[5, 3, 6, 3, 4], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y
< 0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151
/262144], [0, 0], [-1291597/1048576, -1291597/1048576], [72735/65536, 1163761/
1048576]]]], [[5, 3, 6, 3, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [-\
1291597/1048576, -1291597/1048576], [3, 3]]]], [[5, 12, 3, 8, 1], [And(-1 < v,
v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), y = 1-x, z = z], [regular_chain
, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [3, 3], [0, 0]]]], [[6, 1, 1, 2, 1], [v
= 0, u < -2^(1/2), x < -u^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0
], [-3, -3], [-11, -11], [0, 0], [-5, -5]]]], [[6, 1, 1, 2, 2], [v = 0, u < -2
^(1/2), x < -u^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[0, 0], [-3, -3]
, [-11, -11], [0, 0], [-1738867/524288, -3477733/1048576]]]], [[6, 1, 1, 2, 3]
, [v = 0, u < -2^(1/2), x < -u^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))
], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [0, 0], [0, 0]]]], [[6, 1, 1
, 2, 4], [v = 0, u < -2^(1/2), x < -u^2-1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [-11, -11], [0, 0], [3477733/1048576, 
1738867/524288]]]], [[6, 1, 1, 2, 5], [v = 0, u < -2^(1/2), x < -u^2-1, y = 0,
(-x)^(1/2) < z], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [0, 0], [5, 5]
]]], [[6, 4, 8, 5, 1], [v = 0, u = -1, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[0, 0], [-1, -1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[6, 6, 7,
6, 1], [v = 0, u = 0, 1 < x, y = 0, z = z], [regular_chain, [[0, 0], [0, 0], [
2, 2], [0, 0], [0, 0]]]], [[7, 1, 1, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1
/2), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[1/2, 1/2], [-3
, -3], [-11, -11], [20, 20], [0, 0]]]], [[7, 2, 8, 3, 1], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-5/2, -5/2], [-3, -3]]]], [
[7, 2, 8, 3, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y <
-1), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-\
5/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[7, 2, 8, 3, 3], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z
,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-5/2,
-5/2], [0, 0]]]], [[7, 2, 8, 3, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x =
1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [[7, 2, 8, 3
, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), (-y-1)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-5/2, -5/2],
[3, 3]]]], [[7, 7, 1, 6, 1], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2
-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0
, 0], [-3, -3], [9/4, 9/4], [-2, -2]]]], [[7, 7, 1, 6, 2], [And(0 < v,v < 1),
And(-v < u,u < v), x < u^2-v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [9/4, 9/4], [-1816187/2097152, -\
3632373/4194304]]]], [[7, 7, 1, 6, 3], [And(0 < v,v < 1), And(-v < u,u < v), x
< u^2-v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2
))], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [9/4, 9/4], [-1/8388608, -\
1/8388608]]]], [[7, 7, 1, 6, 4], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2
-v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[0, 0], [-3, -3], [9/4, 9/4], [908093/1048576, 454047/524288]]]], [[7, 7, 1, 6
, 5], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, y = -u^2+v^2-x-1, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [9/4, 9/
4], [2, 2]]]], [[7, 9, 2, 5, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2
)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/
2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367
/524288, -1472733/1048576], [290131/262144, 290131/262144], [-2, -2]]]], [[7,
9, 2, 5, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1,
And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [290131/262144, 290131/262144], [-1144335/2097152, -572167/1048576]]
]], [[7, 9, 2, 5, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^
2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z <
(u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-736367/524288, -1472733/1048576], [290131/262144, 290131/262144],
[0, 0]]]], [[7, 9, 2, 5, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)),
x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)],
[regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [290131/262144, 290131/262144], [572167/1048576, 
71521/131072]]]], [[7, 9, 2, 5, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(
1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
736367/524288, -1472733/1048576], [290131/262144, 290131/262144], [2, 2]]]], [
[7, 11, 7, 8, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(0 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2]
, [343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [243021/
1048576, 121511/524288], [0, 0]]]], [[7, 13, 4, 7, 1], [And(0 < v,v < 1), (v^2
+2)^(1/2) < u, x = -1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[1/2,
1/2], [3, 3], [-1, -1], [39/8, 39/8], [0, 0]]]], [[8, 3, 11, 2, 1], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y = -u^2-x, z < u], [regular_chain, [[1
, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [-4692111/1048576, -\
2346055/524288], [-3, -3]]]], [[8, 3, 11, 2, 2], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), 1 < x, y = -u^2-x, z = u], [regular_chain, [[1, 1], [-6598195/
4194304, -6598195/4194304], [2, 2], [-4692111/1048576, -2346055/524288], [-\
1649549/1048576, -3299097/2097152]]]], [[8, 3, 11, 2, 3], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), 1 < x, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [2, 2], [-4692111/1048576, -2346055/
524288], [-1/4194304, -1/4194304]]]], [[8, 3, 11, 2, 4], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), 1 < x, y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-4692111/1048576, -2346055/524288
], [412387/262144, 1649549/1048576]]]], [[8, 3, 11, 2, 5], [v = 1, And(-3^(1/2
) < u,u < -2^(1/2)), 1 < x, y = -u^2-x, -u < z], [regular_chain, [[1, 1], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-4692111/1048576, -2346055/524288
], [3, 3]]]], [[8, 5, 10, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, y <
-u^2-1, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[8, 5, 10, 1, 2], [v = 1, 
And(-2^(1/2) < u,u < -1), x = 1, y < -u^2-1, z = -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-4, -4]
, [-1816187/1048576, -3632373/2097152]]]], [[8, 5, 10, 1, 3], [v = 1, And(-2^(
1/2) < u,u < -1), x = 1, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-4, -4
], [-1/4194304, -1/4194304]]]], [[8, 5, 10, 1, 4], [v = 1, And(-2^(1/2) < u,u
< -1), x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/
1048576]]]], [[8, 5, 10, 1, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, y < -
u^2-1, (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743
/1048576], [1, 1], [-4, -4], [3, 3]]]], [[8, 11, 9, 7, 1], [v = 1, And(1 < u,u
< 2^(1/2)), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1,
1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [
[8, 13, 8, 4, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -u^2+2,
z < 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [-248903/524288, -497805/1048576], [-1, -1]]]], [[8,
13, 8, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -u^2+2, z =
0], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [-248903/524288, -497805/1048576], [0, 0]]]], [[8, 13
, 8, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -u^2+2, 0 < z
], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [-248903/524288, -497805/1048576], [1, 1]]]], [[9, 2,
3, 8, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y =
1-x, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-2, -2], [3, 3], [0, 0]]]], [[9, 3, 11, 7, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And
(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [2, 2], [-797593/1048576, -\
797593/1048576], [0, 0]]]], [[9, 13, 2, 3, 1], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z < -(u^2-
v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [980471/
2097152, 980471/2097152], [-3, -3]]]], [[9, 13, 2, 3, 2], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2),
z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [
980471/2097152, 980471/2097152], [-1048577/1048576, -1]]]], [[9, 13, 2, 3, 3],
[And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 <
y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-384703/262144, -1538811/1048576], [980471/2097152, 980471/2097152]
, [0, 0]]]], [[9, 13, 2, 3, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701
/1048576], [-384703/262144, -1538811/1048576], [980471/2097152, 980471/2097152
], [1, 1048577/1048576]]]], [[9, 13, 2, 3, 5], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2-y
+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [980471/2097152
, 980471/2097152], [3, 3]]]], [[9, 15, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And(
(v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [0, 0], [-3, -3]]]], [[9, 15, 1, 2, 2], [And(1 < v,v < 2^(1
/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, z = -(-
x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288
, 898327/524288], [-4, -4], [0, 0], [-2, -2]]]], [[9, 15, 1, 2, 3], [And(1 < v
,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [0, 0], [0, 0]]]],
[[9, 15, 1, 2, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [0, 0], [
2, 2]]]], [[9, 15, 1, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x < -u^2+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [
0, 0], [3, 3]]]], [[10, 1, 7, 6, 1], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y
= 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/2
, 1/2], [0, 0], [0, 0]]]], [[10, 3, 4, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^
(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [1/2
, 1/2], [-2, -2]]]], [[10, 3, 4, 5, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2))
, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [1/2, 1/2]
, [-1482911/2097152, -741455/1048576]]]], [[10, 3, 4, 5, 3], [v = 2^(1/2), And
(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 3, 4, 5, 4]
, [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[
10, 3, 4, 5, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, And(0 < y,y <
1), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 9,
2, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3, y = -u^2+3, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4]
, [11/4, 11/4], [-1, -1]]]], [[10, 9, 2, 4, 2], [v = 2^(1/2), And(-1 < u,u < 0
), x = u^2-3, y = -u^2+3, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-11/4, -11/4], [11/4, 11/4], [0, 0]]]], [[10, 9, 2, 4
, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3, y = -u^2+3, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4]
, [11/4, 11/4], [1, 1]]]], [[10, 10, 8, 3, 1], [v = 2^(1/2), u = 0, x = 1, And
(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[10, 10, 8, 3, 2], [v =
2^(1/2), u = 0, x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-5/2, -5/2], [-1284239/
1048576, -642119/524288]]]], [[10, 10, 8, 3, 3], [v = 2^(1/2), u = 0, x = 1, 
And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-5/2, -5/2], [0, 0]]]], [[
10, 10, 8, 3, 4], [v = 2^(1/2), u = 0, x = 1, And(-4 < y,y < -1), z = (-y-1)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-5/
2, -5/2], [642119/524288, 1284239/1048576]]]], [[10, 10, 8, 3, 5], [v = 2^(1/2
), u = 0, x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [1, 1], [-5/2, -5/2], [3, 3]]]], [[10
, 15, 2, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y
< 2*u^2-4), z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [995611/2097152, 995611/2097152], [-3, -3]]]], [[10, 15, 2, 3, 2], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y < 2*u^2-4), z = -
(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [995611/2097152
, 995611/2097152], [-1048577/1048576, -1]]]], [[10, 15, 2, 3, 3], [v = 2^(1/2)
, And(v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y < 2*u^2-4), And(-(u^2-y-1)^(
1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [995611/2097152, 995611/2097152], [0, 0]]]], [[10, 15, 2, 3, 4], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y < 2*u^2-4), z = (u^
2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [995611/2097152
, 995611/2097152], [1, 1048577/1048576]]]], [[10, 15, 2, 3, 5], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y < 2*u^2-4), (u^2-y-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [995611/2097152, 995611/
2097152], [3, 3]]]], [[10, 17, 1, 2, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2),
x < -u^2+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [0, 0], [-3, -3]]]], [
[10, 17, 1, 2, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[10, 17, 1, 2, 3],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-4, -4], [0, 0], [0, 0]]]], [[10, 17, 1, 2, 4], [v
= 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [0, 0], [2, 2]]]], [[10, 17, 1, 2, 5], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), x < -u^2+1, y = 0, (-x)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4],
[0, 0], [3, 3]]]], [[10, 19, 4, 7, 1], [v = 2^(1/2), 2 < u, x = -1, And(1 < y,
y < u^2-2), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-1, -1], [4, 4], [0, 0]]]], [[11, 1, 10, 4, 1], [2^(1/2) < v, u < -(v^2+2)^(1
/2), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[3, 3], [-5, -5],
[15, 15], [-15, -15], [-1, -1]]]], [[11, 1, 10, 4, 2], [2^(1/2) < v, u < -(v^2
+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3], [-5
, -5], [15, 15], [-15, -15], [0, 0]]]], [[11, 1, 10, 4, 3], [2^(1/2) < v, u <
-(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[3, 3]
, [-5, -5], [15, 15], [-15, -15], [1, 1]]]], [[11, 5, 9, 8, 1], [2^(1/2) < v,
And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [0, 0],
[0, 0]]]], [[11, 7, 10, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x
= 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-2, -2], [-2, -2]]]], [[
11, 7, 10, 3, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2
-v^2-2 < y,y < -u^2+v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [-2, -2], [-1, -1]]]], [[11, 7, 10
, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 <
y,y < -u^2+v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-2, -2], [0, 0]]]], [[
11, 7, 10, 3, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2
-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1, 1], [-2, -2], [1, 1]]]], [[11, 7, 10,
3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(u^2-v^2-2 < y,
y < -u^2+v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [1, 1], [-2, -2], [2, 2]]]], [[11, 13, 3, 1, 1], [2^(1/2)
< v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y <
u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-919691/524288, -919691/524288], [-2, -2], [-3, -3]]]], [[11
, 13, 3, 1, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^
2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-2, -\
2], [-8126751/4194304, -32507003/16777216]]]], [[11, 13, 3, 1, 3], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^
2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [-2, -2],
[-11/33554432, -11/33554432]]]], [[11, 13, 3, 1, 4], [2^(1/2) < v, And((v^2-2)
^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
919691/524288, -919691/524288], [-2, -2], [2031687/1048576, 253961/131072]]]],
[[11, 13, 3, 1, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [-919691/524288, -919691/524288], [
-2, -2], [3, 3]]]], [[11, 15, 1, 7, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [5774885
/2097152, 5774885/2097152], [-2, -2]]]], [[11, 15, 1, 7, 2], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3
, -3], [5774885/2097152, 5774885/2097152], [-16263/32768, -520415/1048576]]]],
[[11, 15, 1, 7, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1,
And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [5774885
/2097152, 5774885/2097152], [0, 0]]]], [[11, 15, 1, 7, 4], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -\
3], [5774885/2097152, 5774885/2097152], [520415/1048576, 16263/32768]]]], [[11
, 15, 1, 7, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And
(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3, -3], [5774885/2097152, 5774885/2097152
], [2, 2]]]], [[11, 19, 4, 5, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[
11, 19, 4, 5, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[11, 19, 4, 5, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[11, 19, 4, 5, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [-1, -1], [1/2, 1/2], [741455/1048576,
46341/65536]]]], [[11, 19, 4, 5, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (
v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3
, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[
11, 21, 1, 4, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^
2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [
1, 1], [-6, -6]]]], [[11, 21, 1, 4, 2], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -
u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[5, 5], [-18, -18], [1, 1], [-2161695/524288, -4323389/1048576]]]], [[11, 21,
1, 4, 3], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
5, 5], [-18, -18], [1, 1], [0, 0]]]], [[11, 21, 1, 4, 4], [2^(1/2) < v, (v^2+2
)^(1/2) < u, x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [5, 5], [-18, -18], [1, 1], [4323389/1048576, 2161695/
524288]]]], [[11, 21, 1, 4, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-\
1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [5, 5],
[-18, -18], [1, 1], [6, 6]]]], [[1, 5, 1, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(
1/2) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3
, -3], [2, 2], [-2, -2]]]], [[1, 5, 1, 5, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2
) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-
y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -\
3], [2, 2], [-1, -1]]]], [[1, 5, 1, 5, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) <
u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-3, -3], [2, 2], [0, 0]]]], [[1, 5, 1, 5, 4], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^
2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [-3, -3], [2, 2], [1, 1]]]], [[1, 5, 1, 5, 5], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1)
, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-3, -3], [2, 2], [2, 2]]]], [[1, 7, 2, 4, 1], [v < -2^(1/2), And(v <
u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [133001/131072, 1064009/1048576], [-2, -2]]]], [[1,
7, 2, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y =
-2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [133001/131072
, 1064009/1048576], [-735979/1048576, -1471957/2097152]]]], [[1, 7, 2, 4, 3],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [
133001/131072, 1064009/1048576], [-1/4194304, -1/4194304]]]], [[1, 7, 2, 4, 4]
, [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^
2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [133001/131072, 1064009/
1048576], [367989/524288, 735979/1048576]]]], [[1, 7, 2, 4, 5], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-\
3161161/2097152, -395145/262144], [133001/131072, 1064009/1048576], [2, 2]]]],
[[1, 11, 1, 2, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x
< u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11,
-11], [0, 0], [-5, -5]]]], [[1, 11, 1, 2, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2
) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-11, -11], [0, 0], [-1738867/524288, -\
3477733/1048576]]]], [[1, 11, 1, 2, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,
u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[-3, -3], [0, 0], [-11, -11], [0, 0], [0, 0]]]], [[1, 11, 1
, 2, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2
-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [0,
0], [3477733/1048576, 1738867/524288]]]], [[1, 11, 1, 2, 5], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/2) <
z], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [0, 0], [5, 5]]]], [[1, 12,
7, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0
), z = z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2
], [-1/4, -1/4], [0, 0]]]], [[1, 18, 4, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2
), x = -1, y < -1, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536
, 3315889/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[1, 18, 4, 1, 2], [v < -
2^(1/2), u = (v^2+1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [-2, -2], [-1816187/
1048576, -3632373/2097152]]]], [[1, 18, 4, 1, 3], [v < -2^(1/2), u = (v^2+1)^(
1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [-2, -2], [-1/4194304, -\
1/4194304]]]], [[1, 18, 4, 1, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, y
< -1, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[1, 18, 4,
1, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -1], [-2, -2],
[3, 3]]]], [[1, 20, 2, 5, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, And(3
< y,y < 4), z = z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-3, -3], [7/2, 7/2], [0, 0]]]], [[2, 2, 8, 3, 1], [v = -2^(1/2), u =
-2, x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[2, 2,
8, 3, 2], [v = -2^(1/2), u = -2, x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-5/2
, -5/2], [-1284239/1048576, -642119/524288]]]], [[2, 2, 8, 3, 3], [v = -2^(1/2
), u = -2, x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-5/2
, -5/2], [0, 0]]]], [[2, 2, 8, 3, 4], [v = -2^(1/2), u = -2, x = 1, And(-4 < y
,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]],
[[2, 2, 8, 3, 5], [v = -2^(1/2), u = -2, x = 1, And(-4 < y,y < -1), (-y-1)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1, 1]
, [-5/2, -5/2], [3, 3]]]], [[2, 4, 7, 2, 1], [v = -2^(1/2), u = -3^(1/2), And(
0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5/2, -5/2]
, [-3, -3]]]], [[2, 4, 7, 2, 2], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1)
, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5/2, -5/2], [-1482911/
1048576, -741455/524288]]]], [[2, 4, 7, 2, 3], [v = -2^(1/2), u = -3^(1/2), 
And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1/2,
1/2], [-5/2, -5/2], [0, 0]]]], [[2, 4, 7, 2, 4], [v = -2^(1/2), u = -3^(1/2),
And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-5/2, -5/2
], [741455/524288, 1482911/1048576]]]], [[2, 4, 7, 2, 5], [v = -2^(1/2), u = -
3^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-\
5/2, -5/2], [3, 3]]]], [[2, 7, 5, 4, 1], [v = -2^(1/2), And(v < u,u < -1), And
(-1 < x,x < -u^2+1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [0, 0], [-2, -2]]]], [[2, 7, 5, 4, 2], [v = -2^(1/
2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [-3580063/
4194304, -1790031/2097152]]]], [[2, 7, 5, 4, 3], [v = -2^(1/2), And(v < u,u <
-1), And(-1 < x,x < -u^2+1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [-1/4194304, -\
1/4194304]]]], [[2, 7, 5, 4, 4], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,
x < -u^2+1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [0, 0], [895015/1048576, 111877/131072]]]], [[2, 7, 5, 4, 5]
, [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = 0, (-x)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [2, 2]]]], [[
2, 9, 4, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, And(1 < y,y < -u^2+2
), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2],
[-1, -1], [11/8, 11/8], [0, 0]]]], [[2, 13, 3, 5, 1], [v = -2^(1/2), And(1 < u
,u < -v), And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-2666417/2097152, -2666417/2097152], [853897/2097152, 853897/
2097152], [-2, -2]]]], [[2, 13, 3, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [853897/2097152, 853897/
2097152], [-7798595/8388608, -3899297/4194304]]]], [[2, 13, 3, 5, 3], [v = -2^
(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(0 < y,y < -u^2-x+1), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [853897/2097152, 853897/2097152], [-1/8388608, -1/8388608]]]
], [[2, 13, 3, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1),
And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [853897/2097152, 853897/2097152], [121853/131072, 974825/
1048576]]]], [[2, 13, 3, 5, 5], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 <
x,x < -1), And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [853897/2097152, 853897/2097152], [2, 2]]]
], [[2, 15, 4, 4, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y = 0, z
< -1], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[2, 15, 4, 4, 2], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1]
, [0, 0], [-1, -1]]]], [[2, 15, 4, 4, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0], [0, 0]]]
], [[2, 15, 4, 4, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y = 0, z
= 1], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-1, -1], [0, 0], [1, 1]]]], [[2, 15, 4, 4, 5], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [0, 0]
, [2, 2]]]], [[3, 1, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-2, -\
2]]]], [[3, 1, 5, 5, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1
< x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]
], [[3, 1, 5, 5, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x
,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[1/4, 1/4], [0, 0]]]], [[3, 1, 5, 5, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+
2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[1/4, 1/4], [1/2, 1/2]]]], [[3, 1, 5, 5, 5], [And(-2^(1/2) < v,v < -1), u < -(
v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2],
[1/4, 1/4], [2, 2]]]], [[3, 3, 3, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1
, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [
-2, -2], [-3, -3]]]], [[3, 3, 3, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1,
z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-\
2, -2], [-16221399/8388608, -8110699/4194304]]]], [[3, 3, 3, 1, 3], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-3647693/2097152, -3647693/2097152], [-2, -2], [-3/8388608
, -3/8388608]]]], [[3, 3, 3, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-3647693/2097152, -3647693/2097152], [-\
2, -2], [1013837/524288, 2027675/1048576]]]], [[3, 3, 3, 1, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-3647693/2097152
, -3647693/2097152], [-2, -2], [3, 3]]]], [[3, 7, 5, 2, 1], [And(-2^(1/2) < v,
v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^
2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -1498947/
2097152], [-3589231/4194304, -1794615/2097152], [-3, -3]]]], [[3, 7, 5, 2, 2],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+
v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-3589231/4194304, -1794615/2097152], [-1314069/
1048576, -328517/262144]]]], [[3, 7, 5, 2, 3], [And(-2^(1/2) < v,v < -1), And(
v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-3589231/4194304, -1794615/2097152], [0, 0]]]], [
[3, 7, 5, 2, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And
(-1 < x,x < -u^2+v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [-3589231/4194304, -\
1794615/2097152], [328517/262144, 1314069/1048576]]]], [[3, 7, 5, 2, 5], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1
), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [-3589231/4194304, -1794615/2097152], [3, 3]]]], [
[3, 9, 4, 5, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)
^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [1/2, 1/2], [-2, -2]]]],
[[3, 9, 4, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[3, 9, 4, 5, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(
1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1, -1], [1/2, 1/2], [0, 0]]]], [[3, 9, 4, 5, 4], [And(-2^(
1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(0 < y
,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[3,
9, 4, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [1/2, 1/2], [2, 2]]]], [[3, 17,
9, 2, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-\
1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-\
6456261/524288, -12912521/1048576], [-4, -4]]]], [[3, 17, 9, 2, 2], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1
, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-6456261/524288, -\
12912521/1048576], [-1532401/524288, -24518415/8388608]]]], [[3, 17, 9, 2, 3],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -u
^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/
2097152], [-6456261/524288, -12912521/1048576], [-7/16777216, -7/16777216]]]],
[[3, 17, 9, 2, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x <
u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152]
, [-6456261/524288, -12912521/1048576], [3064801/1048576, 1532401/524288]]]],
[[3, 17, 9, 2, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x <
u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152]
, [-6456261/524288, -12912521/1048576], [4, 4]]]], [[4, 2, 4, 5, 1], [v = -1,
u = -3^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-\
1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [1/2, 1/2], [-2, -2]]]
], [[4, 2, 4, 5, 2], [v = -1, u = -3^(1/2), x = -1, And(0 < y,y < 1), z = -(1-
y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[4, 2, 4, 5, 3],
[v = -1, u = -3^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
1, -1], [1/2, 1/2], [0, 0]]]], [[4, 2, 4, 5, 4], [v = -1, u = -3^(1/2), x = -1
, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536
]]]], [[4, 2, 4, 5, 5], [v = -1, u = -3^(1/2), x = -1, And(0 < y,y < 1), (1-y)
^(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[-1, -1], [1/2, 1/2], [2, 2]]]], [[4, 6, 4, 2, 1], [v = -1, u = -1, x = 0, y =
-1, z < -1], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1, -1], [-2, -2]]]
], [[4, 6, 4, 2, 2], [v = -1, u = -1, x = 0, y = -1, z = -1], [regular_chain,
[[-1, -1], [-1, -1], [0, 0], [-1, -1], [-1, -1]]]], [[4, 6, 4, 2, 3], [v = -1,
u = -1, x = 0, y = -1, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1]
, [0, 0], [-1, -1], [0, 0]]]], [[4, 6, 4, 2, 4], [v = -1, u = -1, x = 0, y = -\
1, z = 1], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1, -1], [1, 1]]]], [
[4, 6, 4, 2, 5], [v = -1, u = -1, x = 0, y = -1, 1 < z], [regular_chain, [[-1,
-1], [-1, -1], [0, 0], [-1, -1], [2, 2]]]], [[4, 8, 5, 3, 1], [v = -1, u = 0,
And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
-1, -1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [-3, -3]]]], [[4, 8, 5, 3, 2], [v
= -1, u = 0, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072,
-1172343/1048576]]]], [[4, 8, 5, 3, 3], [v = -1, u = 0, And(-1 < x,x < 0), And
(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1, -1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[4, 8, 5, 3, 4], [v =
-1, u = 0, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576
, 146543/131072]]]], [[4, 8, 5, 3, 5], [v = -1, u = 0, And(-1 < x,x < 0), And(
-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-1/2,
-1/2], [-3/4, -3/4], [3, 3]]]], [[4, 14, 1, 8, 1], [v = -1, u = 3^(1/2), x < -\
3, y = 1-x, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [-4, -4], [5, 5], [0, 0]]]], [[4, 15, 10, 2, 1], [v = -1, 3^(1/2) < u, x =
u^2-2, y = -2*u^2+2, z < -u], [regular_chain, [[-1, -1], [3, 3], [7, 7], [-16,
-16], [-4, -4]]]], [[4, 15, 10, 2, 2], [v = -1, 3^(1/2) < u, x = u^2-2, y = -2
*u^2+2, z = -u], [regular_chain, [[-1, -1], [3, 3], [7, 7], [-16, -16], [-3, -\
3]]]], [[4, 15, 10, 2, 3], [v = -1, 3^(1/2) < u, x = u^2-2, y = -2*u^2+2, And(
-u < z,z < u)], [regular_chain, [[-1, -1], [3, 3], [7, 7], [-16, -16], [0, 0]]
]], [[4, 15, 10, 2, 4], [v = -1, 3^(1/2) < u, x = u^2-2, y = -2*u^2+2, z = u],
[regular_chain, [[-1, -1], [3, 3], [7, 7], [-16, -16], [3, 3]]]], [[4, 15, 10,
2, 5], [v = -1, 3^(1/2) < u, x = u^2-2, y = -2*u^2+2, u < z], [regular_chain,
[[-1, -1], [3, 3], [7, 7], [-16, -16], [4, 4]]]], [[5, 4, 6, 3, 1], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0], [-1,
-1], [-2, -2]]]], [[5, 4, 6, 3, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x
= 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[5, 4, 6, 3,
3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [0, 0], [-1, -1], [0, 0]]]], [[5, 4, 6, 3, 4], [And(-1 < v,
v < 0), u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0], [-1,
-1], [1, 1]]]], [[5, 4, 6, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x =
0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543
/131072, -1172343/1048576], [0, 0], [-1, -1], [2, 2]]]], [[5, 6, 5, 6, 1], [
And(-1 < v,v < 0), u = v, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-\
1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[5, 9, 5, 6, 1], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y
= u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [
106039/524288, 212079/1048576], [-2, -2]]]], [[5, 9, 5, 6, 2], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/524288, 212079
/1048576], [-1618333/2097152, -3236665/4194304]]]], [[5, 9, 5, 6, 3], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = u^2-
v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995
/2097152], [106039/524288, 212079/1048576], [-1/8388608, -1/8388608]]]], [[5,
9, 5, 6, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x <
u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152
], [106039/524288, 212079/1048576], [404583/524288, 809167/1048576]]]], [[5, 9
, 5, 6, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x <
u^2-v^2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152
], [106039/524288, 212079/1048576], [2, 2]]]], [[5, 11, 4, 9, 1], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, u^2-v^2 < y, z = z],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [3, 3
], [0, 0]]]], [[6, 1, 10, 7, 1], [v = 0, u < -2^(1/2), x = u^2-1, 0 < y, z = z
], [regular_chain, [[0, 0], [-3, -3], [8, 8], [1, 1], [0, 0]]]], [[6, 3, 8, 3,
1], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, And(-2*u^2 < y,y < -u^2+1), z
< -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [239655/524288, 479311/1048576], [-28280675/16777216, -28280675/
16777216], [-3, -3]]]], [[6, 3, 8, 3, 2], [v = 0, And(-2^(1/2) < u,u < -1), x
= u^2-1, And(-2*u^2 < y,y < -u^2+1), z = -(-u^2-y+1)^(1/2)], [regular_chain, [
[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288, 479311/1048576],
[-28280675/16777216, -28280675/16777216], [-1162243/1048576, -581121/524288]]]
], [[6, 3, 8, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, And(-2*u^2 <
y,y < -u^2+1), And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [-28280675/16777216, -28280675/16777216], [0, 0]]]], [[6, 3,
8, 3, 4], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, And(-2*u^2 < y,y < -u^2
+1), z = (-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [239655/524288, 479311/1048576], [-28280675/16777216, -\
28280675/16777216], [581121/524288, 1162243/1048576]]]], [[6, 3, 8, 3, 5], [v
= 0, And(-2^(1/2) < u,u < -1), x = u^2-1, And(-2*u^2 < y,y < -u^2+1), (-u^2-y+
1)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576],
[239655/524288, 479311/1048576], [-28280675/16777216, -28280675/16777216], [3,
3]]]], [[6, 9, 5, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x,x < 0), 
And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [763943/1048576, 763943/1048576], [0, 0]]]], [
[6, 11, 3, 3, 1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(-u^2-x-1 <
y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2],
[-9/4, -9/4], [-4, -4]]]], [[6, 11, 3, 3, 2], [v = 0, 2^(1/2) < u, And(-u^2-1
< x,x < -1), And(-u^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[0,
0], [3, 3], [-11/2, -11/2], [-9/4, -9/4], [-11676449/4194304, -364889/131072]]
]], [[6, 11, 3, 3, 3], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(-u^2-x
-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0,
0], [3, 3], [-11/2, -11/2], [-9/4, -9/4], [0, 0]]]], [[6, 11, 3, 3, 4], [v = 0
, 2^(1/2) < u, And(-u^2-1 < x,x < -1), And(-u^2-x-1 < y,y < 0), z = (-x-y)^(1/
2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-9/4, -9/4], [364889/
131072, 2919113/1048576]]]], [[6, 11, 3, 3, 5], [v = 0, 2^(1/2) < u, And(-u^2-\
1 < x,x < -1), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0
, 0], [3, 3], [-11/2, -11/2], [-9/4, -9/4], [4, 4]]]], [[7, 3, 9, 3, 1], [And(
0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2,
1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-\
8235625/4194304, -8235625/4194304], [-3, -3]]]], [[7, 3, 9, 3, 2], [And(0 < v,
v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1),
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-\
8235625/4194304, -8235625/4194304], [-1163761/1048576, -72735/65536]]]], [[7,
3, 9, 3, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [1534619/2097152, 1534619/2097152], [-8235625/4194304, -8235625/
4194304], [0, 0]]]], [[7, 3, 9, 3, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [1534619/2097152, 1534619/2097152], [-8235625/4194304, -8235625/
4194304], [72735/65536, 1163761/1048576]]]], [[7, 3, 9, 3, 5], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-8235625/
4194304, -8235625/4194304], [3, 3]]]], [[7, 5, 8, 4, 1], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [
-624419/1048576, -1248837/2097152], [-2, -2]]]], [[7, 5, 8, 4, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [
0, 0], [-624419/1048576, -1248837/2097152], [-1618333/2097152, -3236665/
4194304]]]], [[7, 5, 8, 4, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [
-624419/1048576, -1248837/2097152], [-1/8388608, -1/8388608]]]], [[7, 5, 8, 4,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = u^2-v^2-1, z
= (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [0, 0], [-624419/1048576, -1248837/2097152], [404583/524288,
809167/1048576]]]], [[7, 5, 8, 4, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/
2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-624419/1048576, -\
1248837/2097152], [2, 2]]]], [[8, 1, 4, 1, 1], [v = 1, u < -3^(1/2), x = -1, y
< -u^2+1, z < -(1-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-9,
-9], [-5, -5]]]], [[8, 1, 4, 1, 2], [v = 1, u < -3^(1/2), x = -1, y < -u^2+1,
z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1, -1], [-9, -9], [-\
3315889/1048576, -207243/65536]]]], [[8, 1, 4, 1, 3], [v = 1, u < -3^(1/2), x
= -1, y < -u^2+1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1,
1], [-3, -3], [-1, -1], [-9, -9], [0, 0]]]], [[8, 1, 4, 1, 4], [v = 1, u < -3^
(1/2), x = -1, y < -u^2+1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3]
, [-1, -1], [-9, -9], [207243/65536, 3315889/1048576]]]], [[8, 1, 4, 1, 5], [v
= 1, u < -3^(1/2), x = -1, y < -u^2+1, (1-y)^(1/2) < z], [regular_chain, [[1,
1], [-3, -3], [-1, -1], [-9, -9], [5, 5]]]], [[8, 2, 9, 9, 1], [v = 1, u = -3^
(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [2, 2], [1, 1], [0, 0]]]], [[8, 7, 3, 7, 1], [v = 1, And(-1
< u,u < 0), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [5/4, 5/4], [-2, -2]]]]
, [[8, 7, 3, 7, 2], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(-u^2
-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-\
11/8, -11/8], [5/4, 5/4], [-46341/131072, -370727/1048576]]]], [[8, 7, 3, 7, 3
], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2
], [-11/8, -11/8], [5/4, 5/4], [0, 0]]]], [[8, 7, 3, 7, 4], [v = 1, And(-1 < u
,u < 0), And(u^2-2 < x,x < -1), And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [5/4, 5/4], [370727/
1048576, 46341/131072]]]], [[8, 7, 3, 7, 5], [v = 1, And(-1 < u,u < 0), And(u^
2-2 < x,x < -1), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1, 1], [-1/2, -1/2], [-11/8, -11/8], [5/4, 5/4], [2, 2]]]], [[8, 9, 2, 4, 1],
[v = 1, And(0 < u,u < 1), x = u^2-2, y = -2*u^2+2, z < -u], [regular_chain, [[
1, 1], [1/2, 1/2], [-7/4, -7/4], [3/2, 3/2], [-2, -2]]]], [[8, 9, 2, 4, 2], [v
= 1, And(0 < u,u < 1), x = u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[1,
1], [1/2, 1/2], [-7/4, -7/4], [3/2, 3/2], [-1/2, -1/2]]]], [[8, 9, 2, 4, 3], [
v = 1, And(0 < u,u < 1), x = u^2-2, y = -2*u^2+2, And(-u < z,z < u)], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [3/2, 3/2], [0, 0]]]], [[8,
9, 2, 4, 4], [v = 1, And(0 < u,u < 1), x = u^2-2, y = -2*u^2+2, z = u], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [3/2, 3/2], [1/2, 1/2]]]], [
[8, 9, 2, 4, 5], [v = 1, And(0 < u,u < 1), x = u^2-2, y = -2*u^2+2, u < z], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [3/2, 3/2], [2, 2]]]], [[8,
14, 7, 7, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z
], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [1/4
, 1/4], [0, 0]]]], [[9, 1, 4, 6, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/
2), x = -1, y = 1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3, -3], [-1, -1], [1, 1], [-1, -1]]]], [[9, 1, 4, 6, 2], [And(1 < v,v < 2^
(1/2)), u < -(v^2+2)^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[9, 1, 4, 6
, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [1, 1]
, [1, 1]]]], [[9, 5, 3, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [646847/524288, 646847/524288], [-1, -1]]]], [
[9, 5, 3, 8, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(
-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [646847/524288, 646847/524288], [0, 0]]]], [[9, 5, 3, 8, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x <
-1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-646847/524288, -646847/524288], [646847/
524288, 646847/524288], [1, 1]]]], [[9, 7, 4, 3, 1], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [-598205/2097152, -598205/2097152], [-3, -3]]]], [
[9, 7, 4, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x =
-1, And(u^2-v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [-\
598205/2097152, -598205/2097152], [-594379/524288, -1188757/1048576]]]], [[9,
7, 4, 3, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1,
And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1, -1], [-598205/2097152, -598205/2097152], [0, 0]]]], [[9, 7, 4, 3, 4], [And
(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y
< 0), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-1, -1], [-598205/2097152, -598205/
2097152], [1188757/1048576, 594379/524288]]]], [[9, 7, 4, 3, 5], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), (1
-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363
/4194304, -3949363/4194304], [-1, -1], [-598205/2097152, -598205/2097152], [3,
3]]]], [[9, 9, 9, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), 0 < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [1527887/2097152, 1527887/2097152],
[1, 1], [0, 0]]]], [[9, 11, 8, 6, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/
2) < u,u < v), x = 0, y = 0, z < 0], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [0, 0], [-1, -1]]]
], [[9, 11, 8, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= 0, y = 0, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [0, 0], [0, 0]]]], [[9, 11, 8, 6, 3],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y = 0, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [0, 0], [1, 1]]]], [[9, 15, 11, 4, 1], [And(1 < v,v < 2^(1/2
)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-2, -2], [-1, -1]]]], [[9, 15, 11, 4, 2], [And(1 < v,v < 2^(
1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-2, -2], [0, 0]]]], [[9, 15, 11, 4, 3], [And(1 < v,v < 2^(1/
2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [2, 2], [-2, -2], [1, 1]]]], [[9, 17, 8, 3, 1], [And(1 < v,v < 2^(1/2
)), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-\
11055025/2097152, -11055025/2097152], [-4, -4]]]], [[9, 17, 8, 3, 2], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y
-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1
], [-11055025/2097152, -11055025/2097152], [-2167143/1048576, -1083571/524288]
]]], [[9, 17, 8, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, And
(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-11055025
/2097152, -11055025/2097152], [0, 0]]]], [[9, 17, 8, 3, 4], [And(1 < v,v < 2^(
1/2)), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1, 1], [-\
11055025/2097152, -11055025/2097152], [1083571/524288, 2167143/1048576]]]], [[
9, 17, 8, 3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 1, And(-u^2+v
^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1, 1], [-11055025/2097152, -11055025/2097152], [4,
4]]]], [[10, 5, 10, 1, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y <
-u^2, z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-6598195/4194304, -6598195/4194304], [1, 1], [-4, -4], [-3, -3]]]], [[10, 5, 
10, 1, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y < -u^2, z = -(-y-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304
, -6598195/4194304], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]]
, [[10, 5, 10, 1, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), x = 1, y < -u^2,
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [-4, -4], [-1/
4194304, -1/4194304]]]], [[10, 5, 10, 1, 4], [v = 2^(1/2), And(-3^(1/2) < u,u
< -v), x = 1, y < -u^2, z = (-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[10, 5, 10, 1, 5], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), x = 1, y < -u^2, (-y-1)^(1/2) < z], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1, 1], [-4,
-4], [3, 3]]]], [[10, 7, 10, 5, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 1, 
And(-u^2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-1288231/
1048576, -1288231/1048576], [-2, -2]]]], [[10, 7, 10, 5, 2], [v = 2^(1/2), And
(-v < u,u < -1), x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [-501295/1048576, -\
250647/524288]]]], [[10, 7, 10, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 1
, And(-u^2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [0, 0]]]], [[10, 7, 10
, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), x = 1, And(-u^2 < y,y < -1), z = (-
y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [-1288231/1048576, -1288231/1048576], [
250647/524288, 501295/1048576]]]], [[10, 7, 10, 5, 5], [v = 2^(1/2), And(-v <
u,u < -1), x = 1, And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1],
[-1288231/1048576, -1288231/1048576], [2, 2]]]], [[10, 11, 9, 7, 1], [v = 2^(1
/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < 0), z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-1
/16, -1/16], [0, 0]]]], [[10, 13, 8, 4, 1], [v = 2^(1/2), And(1 < u,u < v), x
= 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-479311/1048576, -\
239655/524288], [-2, -2]]]], [[10, 13, 8, 4, 2], [v = 2^(1/2), And(1 < u,u < v
), x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-479311/1048576
, -239655/524288], [-1417877/2097152, -354469/524288]]]], [[10, 13, 8, 4, 3],
[v = 2^(1/2), And(1 < u,u < v), x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z <
(u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [0, 0]]]
], [[10, 13, 8, 4, 4], [v = 2^(1/2), And(1 < u,u < v), x = 0, y = -u^2+1, z =
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [354469/
524288, 708939/1048576]]]], [[10, 13, 8, 4, 5], [v = 2^(1/2), And(1 < u,u < v)
, x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [0, 0], [-479311/1048576
, -239655/524288], [2, 2]]]], [[11, 2, 9, 7, 1], [2^(1/2) < v, u = -(v^2+2)^(1
/2), 1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-1738867/
524288, -3477733/1048576], [2, 2], [-1/2, -1/2], [0, 0]]]], [[11, 4, 8, 2, 1],
[2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain
, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [-3, -3], [-3, -3]]]], [
[11, 4, 8, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2
)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [-3, -\
3], [-1482911/1048576, -741455/524288]]]], [[11, 4, 8, 2, 3], [2^(1/2) < v, u
= -(v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [-3, -3], [
0, 0]]]], [[11, 4, 8, 2, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y = -3,
z = 2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1,
1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[11, 4, 8, 2, 5], [2^(1/2)
< v, u = -(v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [1, 1], [-3, -3], [3, 3]]]], [[11, 9, 2, 4,
1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y
= -u^2+v^2+1, z < 0], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [2630187/1048576, 657547/262144]
, [-1, -1]]]], [[11, 9, 2, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/2097152], [
2630187/1048576, 657547/262144], [0, 0]]]], [[11, 9, 2, 4, 3], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 <
z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [2630187/1048576, 657547/262144], [1, 1]]]], [[11,
10, 8, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, And(-4 < y,y < -1), z <
-(-y-1)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576],
[1, 1], [-5/2, -5/2], [-3, -3]]]], [[11, 10, 8, 3, 2], [2^(1/2) < v, u = -(v^2
-2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5/2, -5/2], [-1284239/
1048576, -642119/524288]]]], [[11, 10, 8, 3, 3], [2^(1/2) < v, u = -(v^2-2)^(1
/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [-5/2, -\
5/2], [0, 0]]]], [[11, 10, 8, 3, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1,
And(-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/
1048576]]]], [[11, 10, 8, 3, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, And(
-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [1, 1], [-5/2, -5/2], [3, 3]]]], [[11, 15, 11, 8, 1], [2^(1
/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = 0, z = z], [regular_chain, [
[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [0, 0], [0, 0]]]], [[11, 
18, 1, 3, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2), z
< -(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-\
3, -3], [1/2, 1/2], [-3, -3]]]], [[11, 18, 1, 3, 2], [2^(1/2) < v, u = (v^2+1)
^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [207243/65536, 3315889/1048576], [-3, -3], [1/2, 1/2], [-3315889/2097152,
-207243/131072]]]], [[11, 18, 1, 3, 3], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -\
2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [1/2, 1/2],
[0, 0]]]], [[11, 18, 1, 3, 4], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(0
< y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 
3315889/1048576], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [
[11, 18, 1, 3, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(0 < y,y < -x-2
), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576]
, [-3, -3], [1/2, 1/2], [3, 3]]]], [[11, 21, 11, 7, 1], [2^(1/2) < v, (v^2+2)^
(1/2) < u, u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain,
[[3, 3], [5, 5], [16, 16], [-1/2, -1/2], [0, 0]]]], [[1, 2, 1, 4, 1], [v < -2^
(1/2), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[
-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1], [-3, -3]]]], [
[1, 2, 1, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y = -x-3, z = -3^(
1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4
], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[1, 2, 1, 4, 3], [v < -2^
(1/2), u = -(v^2+2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [1, 1
], [-1/4194304, -1/4194304]]]], [[1, 2, 1, 4, 4], [v < -2^(1/2), u = -(v^2+2)^
(1/2), x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-4, -4], [1, 1], [908093/524288, 1816187/1048576]]
]], [[1, 2, 1, 4, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y = -x-3, 3^(
1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4
, -4], [1, 1], [3, 3]]]], [[1, 3, 9, 9, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [1, 1], [0, 0]]]], [[1, 8, 1, 1, 1], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[
1, 8, 1, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y < 0, z = -(-x-y)^
(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3,
-3], [-1, -1], [-2, -2]]]], [[1, 8, 1, 1, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2
), x < -2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [-1, -1], [0, 0]]]],
[[1, 8, 1, 1, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y < 0, z = (-x-y)
^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3
, -3], [-1, -1], [2, 2]]]], [[1, 8, 1, 1, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2
), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-3, -3], [-1, -1], [3, 3]]]], [[1, 9, 11, 4, 1],
[v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = -x, z <
0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2],
[-2, -2], [-1, -1]]]], [[1, 9, 11, 4, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) <
u,u < -(v^2-2)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-2, -2], [0, 0]]]], [[1, 9, 11,
4, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = -
x, 0 < z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[2, 2], [-2, -2], [1, 1]]]], [[1, 15, 3, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-657289/524288, -657289/524288], [2112585/2097152, 2112585/2097152], [-2, -2]
]]], [[1, 15, 3, 7, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-
v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [2112585/2097152, 2112585/2097152], [-16263/32768, -520415/
1048576]]]], [[1, 15, 3, 7, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-657289/524288, -657289/524288], [2112585/2097152, 2112585/2097152]
, [0, 0]]]], [[1, 15, 3, 7, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [2112585/2097152, 2112585/2097152], [520415/1048576, 16263/
32768]]]], [[1, 15, 3, 7, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), 
And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [2112585/2097152, 2112585/2097152], [2, 2]]]], [[1, 17, 4, 6,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, z < -(-
u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[-1, -1], [517383/1048576, 64673/131072], [-2, -2]]]], [[1, 17, 4, 6, 2], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1],
[517383/1048576, 64673/131072], [-373161/524288, -1492643/2097152]]]], [[1, 17
, 4, 6, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3
], [403851/131072, 403851/131072], [-1, -1], [517383/1048576, 64673/131072], [
-1/4194304, -1/4194304]]]], [[1, 17, 4, 6, 4], [v < -2^(1/2), And(-v < u,u < (
v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [-1, -1], [517383/1048576, 64673/
131072], [746321/1048576, 373161/524288]]]], [[1, 17, 4, 6, 5], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [517383/
1048576, 64673/131072], [2, 2]]]], [[1, 21, 3, 4, 1], [v < -2^(1/2), (v^2+2)^(
1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[-3, -3], [5, 5], [-9, -9], [0, 0], [-4, -4]]]], [[1, 21, 3, 4, 2], [v < -2^(
1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)],
[regular_chain, [[-3, -3], [5, 5], [-9, -9], [0, 0], [-3, -3]]]], [[1, 21, 3,
4, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-9,
-9], [0, 0], [0, 0]]]], [[1, 21, 3, 4, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, 
And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3],
[5, 5], [-9, -9], [0, 0], [3, 3]]]], [[1, 21, 3, 4, 5], [v < -2^(1/2), (v^2+2)
^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain
, [[-3, -3], [5, 5], [-9, -9], [0, 0], [4, 4]]]], [[2, 1, 9, 5, 1], [v = -2^(1
/2), u < -2, And(1 < x,x < u^2-3), And(-x < y,y < 0), z = z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-7/4, -7/4], [0, 0
]]]], [[2, 10, 3, 5, 1], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [0, 0], [-2, -2], [1, 1], [-2, -2]]]], [[2, 10, 3, 5, 2], [v = -2^(1/2), u =
0, And(-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [1, 1], [-1, -1]]]], [[
2, 10, 3, 5, 3], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-2, -2], [1, 1], [0, 0]]]], [[2, 10, 3, 5, 4], [v =
-2^(1/2), u = 0, And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-2, -2], [1, 1],
[1, 1]]]], [[2, 10, 3, 5, 5], [v = -2^(1/2), u = 0, And(-3 < x,x < -1), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [1, 1], [2, 2]]]], [[2, 11, 11, 8, 1], [v = -2^(1/2
), And(0 < u,u < 1), 1 < x, y = 0, z = z], [regular_chain, [[-1482911/1048576,
-741455/524288], [1/2, 1/2], [2, 2], [0, 0], [0, 0]]]], [[2, 16, 3, 6, 1], [v
= -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-3/2, -\
3/2], [3/2, 3/2], [-1, -1]]]], [[2, 16, 3, 6, 2], [v = -2^(1/2), u = 3^(1/2),
And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-3/2, -3/2], [3/2, 3/2], [0
, 0]]]], [[2, 16, 3, 6, 3], [v = -2^(1/2), u = 3^(1/2), And(-2 < x,x < -1), y
= -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[2, 18, 2, 3,
1], [v = -2^(1/2), u = 2, x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [3/2, 3/
2], [-3, -3]]]], [[2, 18, 2, 3, 2], [v = -2^(1/2), u = 2, x = -3, And(0 < y,y
< 3), z = -(3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[2, 2], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[2, 18,
2, 3, 3], [v = -2^(1/2), u = 2, x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z
,z < (3-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2
], [-3, -3], [3/2, 3/2], [0, 0]]]], [[2, 18, 2, 3, 4], [v = -2^(1/2), u = 2, x
= -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [2, 2], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576
]]]], [[2, 18, 2, 3, 5], [v = -2^(1/2), u = 2, x = -3, And(0 < y,y < 3), (3-y)
^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3,
-3], [3/2, 3/2], [3, 3]]]], [[3, 4, 1, 6, 1], [And(-2^(1/2) < v,v < -1), u = -
(v^2+1)^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -3], [3, 3], [-1, -\
1]]]], [[3, 4, 1, 6, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2
, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-3, -3], [3, 3], [0, 0]]]], [[3, 4, 1, 6, 3
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3, -3], [3, 3], [1, 1]]]], [[3, 5, 11, 9, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [1, 1], [0, 0]]]], [[3, 10, 3, 7, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-3/2, -3/2], [3, 3], [0, 0]]]], [[3, 12, 3, 1, 1], [And(-2^(1/2) <
v,v < -1), u = -v, And(-1 < x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [-2, -2], [-3, -3]]]], [[3, 12, 3, 1, 2], [And
(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]
], [[3, 12, 3, 1, 3], [And(-2^(1/2) < v,v < -1), u = -v, And(-1 < x,x < 0), y
< -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2],
[-2, -2], [0, 0]]]], [[3, 12, 3, 1, 4], [And(-2^(1/2) < v,v < -1), u = -v, And
(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1/2, -1/2],
[-2, -2], [207243/131072, 1657945/1048576]]]], [[3, 12, 3, 1, 5], [And(-2^(1/2
) < v,v < -1), u = -v, And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[3, 15, 2, 1, 1], [And(-
2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1,
y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576]
, [-1, -1], [-3, -3]]]], [[3, 15, 2, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(
1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-1299559/524288, -2599117/1048576], [-1, -1], [-1955731/
1048576, -7822923/4194304]]]], [[3, 15, 2, 1, 3], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2
-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/
1048576], [-1, -1], [-3/8388608, -3/8388608]]]], [[3, 15, 2, 1, 4], [And(-2^(1
/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y <
0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[-1, -1], [977865/524288, 1955731/1048576]]]], [[3, 15, 2, 1, 5], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y < 0
, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576],
[-1, -1], [3, 3]]]], [[3, 16, 8, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[3,
16, 8, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, y = -1, z =
0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1, 1], [-1, -1], [0, 0]]]], [[3, 16, 8, 4, 3], [And(-2^(1/2
) < v,v < -1), u = (v^2+2)^(1/2), x = 1, y = -1, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [
-1, -1], [1, 1]]]], [[4, 3, 5, 4, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[4, 3,
5, 4, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = 0, z
= -(-x)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304
], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[4, 3, 5, 4,
3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-
x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [-1/2, -1/2], [0, 0], [0, 0]]]], [[4, 3, 5, 4, 4], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[0, 0], [741455/1048576, 46341/65536]]]], [[4, 3, 5, 4, 5], [v = -1, And(-3^(1
/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[0, 0], [2, 2]]]], [[4, 5, 4, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -1
, And(u^2-1 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1527887/2097152, 1527887/
2097152], [-2, -2]]]], [[4, 5, 4, 7, 2], [v = -1, And(-2^(1/2) < u,u < -1), x
= -1, And(u^2-1 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [1527887/2097152, 1527887/
2097152], [-273157/524288, -1092627/2097152]]]], [[4, 5, 4, 7, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), x = -1, And(u^2-1 < y,y < 1), And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1, -1], [1527887/2097152, 1527887/2097152], [-1/4194304, -1/
4194304]]]], [[4, 5, 4, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(
u^2-1 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [1527887/2097152, 1527887/2097152], [
546313/1048576, 273157/524288]]]], [[4, 5, 4, 7, 5], [v = -1, And(-2^(1/2) < u
,u < -1), x = -1, And(u^2-1 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1
, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [1527887/2097152, 
1527887/2097152], [2, 2]]]], [[4, 11, 3, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)
), And(-u^2 < x,x < -1), -x < y, z = z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1288231/1048576, -1288231/1048576], [3, 3], [0, 0
]]]], [[4, 13, 3, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x
< -1), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
773191/2097152, -773191/2097152], [-3, -3]]]], [[4, 13, 3, 3, 2], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
-3643533/2097152, -3643533/2097152], [-773191/2097152, -773191/2097152], [-\
760861/524288, -1521721/1048576]]]], [[4, 13, 3, 3, 3], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-3643533/2097152, -3643533/2097152], [-773191/2097152, -773191/
2097152], [0, 0]]]], [[4, 13, 3, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain
, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/
2097152], [-773191/2097152, -773191/2097152], [1521721/1048576, 760861/524288]
]]], [[4, 13, 3, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x
< -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
773191/2097152, -773191/2097152], [3, 3]]]], [[5, 1, 9, 1, 1], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [-16, -16], [
-5, -5]]]], [[5, 1, 9, 1, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2
, -1/2], [-3, -3], [35/8, 35/8], [-16, -16], [-27931/8192, -3575167/1048576]]]
], [[5, 1, 9, 1, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2
-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [-16, -16], [0, 0]]]], [
[5, 1, 9, 1, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2
-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3,
-3], [35/8, 35/8], [-16, -16], [3575167/1048576, 27931/8192]]]], [[5, 1, 9, 1,
5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2
+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 
35/8], [-16, -16], [5, 5]]]], [[5, 3, 6, 4, 1], [And(-1 < v,v < 0), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[-1/2
, -1/2], [-343151/262144, -343151/262144], [0, 0], [0, 0], [-1, -1]]]], [[5, 3
, 6, 4, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [0, 0], [0, 0], [0, 0]]]], [[5, 3, 6, 4, 3], [And(-1 < v,v < 0), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [0, 0], [1, 1]]]], [[
5, 12, 3, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), 
And(-x < y,y < 1-x), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -\
2], [5/2, 5/2], [0, 0]]]], [[6, 1, 1, 1, 1], [v = 0, u < -2^(1/2), x < -u^2-1,
y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-1,
-1], [-5, -5]]]], [[6, 1, 1, 1, 2], [v = 0, u < -2^(1/2), x < -u^2-1, y < 0, z
= -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [-11, -11], [-1, -1], [-\
1816187/524288, -3632373/1048576]]]], [[6, 1, 1, 1, 3], [v = 0, u < -2^(1/2),
x < -u^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[0, 0], [-3, -3], [-11, -11], [-1, -1], [0, 0]]]], [[6, 1, 1, 1, 4], [v = 0, u
< -2^(1/2), x < -u^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-3
, -3], [-11, -11], [-1, -1], [3632373/1048576, 1816187/524288]]]], [[6, 1, 1,
1, 5], [v = 0, u < -2^(1/2), x < -u^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [-11, -11], [-1, -1], [5, 5]]]], [[6, 4, 8,
6, 1], [v = 0, u = -1, x = 1, y = 0, z = z], [regular_chain, [[0, 0], [-1, -1]
, [1, 1], [0, 0], [0, 0]]]], [[6, 6, 7, 7, 1], [v = 0, u = 0, 1 < x, 0 < y, z
= z], [regular_chain, [[0, 0], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[7, 1, 1, 8
, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x < -u^2+v^2-1, y = u^2-v^2-x-1,
z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-11, -11], [75/4, 75/4], [0, 0
]]]], [[7, 2, 8, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, y = -4,
z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-4, -4], [-\
3, -3]]]], [[7, 2, 8, 2, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, y =
-4, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-4, -4]
, [-1816187/1048576, -3632373/2097152]]]], [[7, 2, 8, 2, 3], [And(0 < v,v < 1)
, u = -(v^2+2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[7, 2, 8, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, y
= -4, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-4, -4
], [908093/524288, 1816187/1048576]]]], [[7, 2, 8, 2, 5], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
3/2, -3/2], [1, 1], [-4, -4], [3, 3]]]], [[7, 7, 1, 7, 1], [And(0 < v,v < 1),
And(-v < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1
/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [21/8, 21/8], [-2, -2]]]]
, [[7, 7, 1, 7, 2], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(-
u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0,
0], [-3, -3], [21/8, 21/8], [-1284239/2097152, -642119/1048576]]]], [[7, 7, 1,
7, 3], [And(0 < v,v < 1), And(-v < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-1 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/
2], [0, 0], [-3, -3], [21/8, 21/8], [0, 0]]]], [[7, 7, 1, 7, 4], [And(0 < v,v
< 1), And(-v < u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [21/8, 21/8], [
642119/1048576, 80265/131072]]]], [[7, 7, 1, 7, 5], [And(0 < v,v < 1), And(-v
< u,u < v), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-3, -3], [21/8, 21/8], [2, 2]]]], [[7, 9,
2, 6, 1], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y =
u^2-v^2+1, z < 0], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-736367/524288, -1472733/1048576], [1472733/1048576, 736367/524288]
, [-1, -1]]]], [[7, 9, 2, 6, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2
)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [
1472733/1048576, 736367/524288], [0, 0]]]], [[7, 9, 2, 6, 3], [And(0 < v,v < 1
), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [1472733/1048576, 736367/524288], [1, 1]]]], [[7, 
11, 7, 9, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(0 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [243021/1048576, 243021/1048576], [2, 2], [0, 0
]]]], [[7, 13, 4, 8, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = u^2
-v^2, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [35/4, 35/4], [0,
0]]]], [[8, 3, 11, 1, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y < -
u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-6, -6], [-3, -3]]]], [[8, 3, 11, 1, 2], [v = 1, 
And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y < -u^2-x, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [-6, -6]
, [-2, -2]]]], [[8, 3, 11, 1, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 <
x, y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1,
1], [-6598195/4194304, -6598195/4194304], [2, 2], [-6, -6], [0, 0]]]], [[8, 3,
11, 1, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, y < -u^2-x, z = (-x-
y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [2,
2], [-6, -6], [2, 2]]]], [[8, 3, 11, 1, 5], [v = 1, And(-3^(1/2) < u,u < -2^(1
/2)), 1 < x, y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-6598195
/4194304, -6598195/4194304], [2, 2], [-6, -6], [3, 3]]]], [[8, 5, 9, 9, 1], [v
= 1, And(-2^(1/2) < u,u < -1), And(0 < x,x < 1), 0 < y, z = z], [regular_chain
, [[1, 1], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [1, 1], [0, 0]]]]
, [[8, 11, 9, 8, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = 0,
z = z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2
], [0, 0], [0, 0]]]], [[8, 13, 8, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = u^2-2, And(-u^2+2 < y,y < 0), z = z], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-497805/2097152,
-497805/2097152], [0, 0]]]], [[9, 2, 3, 7, 1], [And(1 < v,v < 2^(1/2)), u = -(
v^2+2)^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-2
, -2], [5/2, 5/2], [0, 0]]]], [[9, 3, 11, 6, 1], [And(1 < v,v < 2^(1/2)), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [-3190373/2097152, -797593/524288], [0, 0]]]], [[9,
13, 2, 4, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+
v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144
, -1538811/1048576], [980471/1048576, 122559/131072], [-2, -2]]]], [[9, 13, 2,
4, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1,
y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -\
1538811/1048576], [980471/1048576, 122559/131072], [-765155/1048576, -1530309/
2097152]]]], [[9, 13, 2, 4, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^
2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [980471
/1048576, 122559/131072], [-1/4194304, -1/4194304]]]], [[9, 13, 2, 4, 4], [And
(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2
*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [980471/1048576, 122559/131072], [382577/524288, 765155/1048576]]]],
[[9, 13, 2, 4, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [980471/1048576, 122559/131072], [2, 2]]]],
[[9, 15, 1, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [797593/1048576, 797593/1048576], [-3, -3]]]], [[9, 15, 1,
3, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x <
-u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4],
[797593/1048576, 797593/1048576], [-7548997/4194304, -1887249/1048576]]]], [[9
, 15, 1, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/
524288, 898327/524288], [-4, -4], [797593/1048576, 797593/1048576], [0, 0]]]],
[[9, 15, 1, 3, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [797593/1048576, 797593/1048576], [1887249/1048576, 943625/
524288]]]], [[9, 15, 1, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [-4, -4], [797593/1048576, 797593/1048576], [3, 3]]]], [[10, 1
, 7, 5, 1], [v = 2^(1/2), u < -2, And(0 < x,x < 1), And(-x < y,y < 0), z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-1/4
, -1/4], [0, 0]]]], [[10, 3, 4, 4, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[10, 3, 4,
4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = 0, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [0, 0], [-1, -1]]]], [[10, 3, 4, 4, 3], [v = 2^(1/2), And(
-2 < u,u < -3^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1
], [0, 0], [0, 0]]]], [[10, 3, 4, 4, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)
), x = -1, y = 0, z = 1], [regular_chain, [[741455/524288, 1482911/1048576], [
-3913339/2097152, -3913339/2097152], [-1, -1], [0, 0], [1, 1]]]], [[10, 3, 4,
4, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [0, 0], [2, 2]]]], [[10, 9, 2, 5, 1], [v = 2^(1/2), And(-1
< u,u < 0), x = u^2-3, And(-u^2+3 < y,y < -2*u^2+4), z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [25/8, 25/8],
[0, 0]]]], [[10, 10, 8, 4, 1], [v = 2^(1/2), u = 0, x = 1, y = -1, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-1, -1], [-\
1, -1]]]], [[10, 10, 8, 4, 2], [v = 2^(1/2), u = 0, x = 1, y = -1, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-1, -1], [0
, 0]]]], [[10, 10, 8, 4, 3], [v = 2^(1/2), u = 0, x = 1, y = -1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-1, -1], [1
, 1]]]], [[10, 15, 2, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1,
y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [0, 0]
, [-3, -3]]]], [[10, 15, 2, 2, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -
u^2+1, y = 0, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [0, 0], [-1273381/1048576, -318345/262144]]]], [[10, 15, 2, 2, 3], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y = 0, And(-(u^2-1)^(1/2) < z
,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [0, 0],
[0, 0]]]], [[10, 15, 2, 2, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+
1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [0,
0], [318345/262144, 1273381/1048576]]]], [[10, 15, 2, 2, 5], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/
524288, -1546381/1048576], [0, 0], [3, 3]]]], [[10, 17, 1, 1, 1], [v = 2^(1/2)
, And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [-1, -1], [-4, -4]]]], [[10, 17, 1, 1, 2], [v = 2^(1/2), 
And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, z = -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4
], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[10, 17, 1, 1, 3], [v = 2^
(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-4, -4], [-1, -1], [0, 0]]]], [[10, 17, 1, 1, 4],
[v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[10, 17, 1,
1, 5], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y < 0, (-x-y)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-4, -4], [-1, -1], [4, 4]]]], [[10, 19, 4, 6, 1], [v = 2^(1
/2), 2 < u, x = -1, y = 1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [1, 1], [-1, -1]]]], [[10, 19, 4, 6, 2], [v = 2^(1
/2), 2 < u, x = -1, y = 1, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[10, 19, 4, 6, 3], [v = 2^(1/2
), 2 < u, x = -1, y = 1, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[11, 1, 10, 3, 1], [2^(1/2) <
v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z
< -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [15, 15], [-47/2,
-47/2], [-4, -4]]]], [[11, 1, 10, 3, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x =
u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [15, 15], [-47/2, -47/2], [-24456785/8388608
, -1528549/524288]]]], [[11, 1, 10, 3, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) <
z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [15, 15], [-\
47/2, -47/2], [0, 0]]]], [[11, 1, 10, 3, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2),
x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[3, 3], [-5, -5], [15, 15], [-47/2, -47/2], [1528549/524288
, 3057099/1048576]]]], [[11, 1, 10, 3, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z],
[regular_chain, [[3, 3], [-5, -5], [15, 15], [-47/2, -47/2], [4, 4]]]], [[11,
5, 9, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), 0
< y, z = z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2,
1/2], [1, 1], [0, 0]]]], [[11, 7, 10, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^
2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-391287/262144, -\
1565147/1048576], [-2, -2]]]], [[11, 7, 10, 4, 2], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-391287
/262144, -1565147/1048576], [-735979/1048576, -1471957/2097152]]]], [[11, 7, 
10, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3],
[-6111549/2097152, -6111549/2097152], [1, 1], [-391287/262144, -1565147/
1048576], [-1/4194304, -1/4194304]]]], [[11, 7, 10, 4, 4], [2^(1/2) < v, And(-
v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-391287
/262144, -1565147/1048576], [367989/524288, 735979/1048576]]]], [[11, 7, 10, 4
, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^
2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1, 1], [-391287/262144, -1565147/1048576], [2, 2]]]], [[11, 13, 2,
7, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1,
-2*u^2+2*v^2 < y, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-5260377/2097152, -657547/262144], [5, 5], [0, 0]]]], [[11, 15, 1, 6
, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = -u^2+v^2-
x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-3, -3], [657289/262144, 2629157/1048576], [-2, -2]]]], [[
11, 15, 1, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y
= -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3, -3], [657289/262144, 2629157/1048576], [-\
735979/1048576, -1471957/2097152]]]], [[11, 15, 1, 6, 3], [2^(1/2) < v, And((v
^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [-3, -3], [657289/262144, 2629157/1048576], [-1/4194304, -1/
4194304]]]], [[11, 15, 1, 6, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x
< u^2-v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [-3, -3], [657289/262144, 2629157/
1048576], [367989/524288, 735979/1048576]]]], [[11, 15, 1, 6, 5], [2^(1/2) < v
, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -\
3], [657289/262144, 2629157/1048576], [2, 2]]]], [[11, 19, 4, 6, 1], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z < 0], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [1, 1],
[-1, -1]]]], [[11, 19, 4, 6, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1, -1], [1, 1], [0, 0]]]], [[11, 19, 4, 6, 3], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [1, 1],
[1, 1]]]], [[11, 21, 1, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1
, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
5, 5], [-18, -18], [19/2, 19/2], [-4, -4]]]], [[11, 21, 1, 5, 2], [2^(1/2) < v
, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[3, 3], [5, 5], [-18, -18], [19/2, 19/2], [-24456785
/8388608, -1528549/524288]]]], [[11, 21, 1, 5, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[3, 3], [5, 5], [-18, -18], [19/2, 19/2], [0,
0]]]], [[11, 21, 1, 5, 4], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, 
And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [5,
5], [-18, -18], [19/2, 19/2], [1528549/524288, 3057099/1048576]]]], [[11, 21,
1, 5, 5], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1, And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [5, 5], [-18, -18], [19
/2, 19/2], [4, 4]]]], [[1, 5, 1, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,
u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [2614535
/1048576, 326817/131072], [-2, -2]]]], [[1, 5, 1, 6, 2], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [
2614535/1048576, 326817/131072], [-373161/524288, -1492643/2097152]]]], [[1, 5
, 1, 6, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y =
u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [2614535
/1048576, 326817/131072], [-1/4194304, -1/4194304]]]], [[1, 5, 1, 6, 4], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-3, -3], [2614535/1048576, 326817/131072], [746321/1048576, 373161/
524288]]]], [[1, 5, 1, 6, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-3, -3], [2614535/1048576, 326817/
131072], [2, 2]]]], [[1, 7, 2, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3,
-3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144],
[-1, -1], [-3, -3]]]], [[1, 7, 2, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)
^(1/2)), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-\
3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/
262144], [-1, -1], [-1660383/1048576, -3320765/2097152]]]], [[1, 7, 2, 1, 3],
[v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u^2
+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [-1, -\
1], [-1/4194304, -1/4194304]]]], [[1, 7, 2, 1, 4], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3161161/
2097152, -395145/262144], [-1, -1], [830191/524288, 1660383/1048576]]]], [[1,
7, 2, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y <
0, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [-1, -1], [3, 3]]]], [[1
, 11, 1, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x <
u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
-3, -3], [0, 0], [-11, -11], [6, 6], [-4, -4]]]], [[1, 11, 1, 5, 2], [v < -2^(
1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -\
11], [6, 6], [-146543/65536, -2344687/1048576]]]], [[1, 11, 1, 5, 3], [v < -2^
(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x
-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3
, -3], [0, 0], [-11, -11], [6, 6], [0, 0]]]], [[1, 11, 1, 5, 4], [v < -2^(1/2)
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [
6, 6], [2344687/1048576, 146543/65536]]]], [[1, 11, 1, 5, 5], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [6,
6], [4, 4]]]], [[1, 12, 7, 4, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,
x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 12, 7, 4, 2], [v < -2^(1/2)
, u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -\
3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[1, 
12, 7, 4, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), y = -x, 0 <
z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2, 1/2], [-1/
2, -1/2], [1, 1]]]], [[1, 18, 4, 2, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x =
-1, y = -1, z < -2^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 18, 4, 2, 2], [v < -2^(1/2), u
= (v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455
/524288]]]], [[1, 18, 4, 2, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, y =
-1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[1, 18, 4, 2, 4], [v < -2^(1
/2), u = (v^2+1)^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[-3, -3
], [207243/65536, 3315889/1048576], [-1, -1], [-1, -1], [741455/524288, 
1482911/1048576]]]], [[1, 18, 4, 2, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x =
-1, y = -1, 2^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [-1, -1], [-1, -1], [3, 3]]]], [[1, 20, 2, 2, 1], [v < -2^(1/2), u =
(v^2+2)^(1/2), x = -3, y = 0, z < -3^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-3, -3], [0, 0], [-3, -3]]]], [[1, 20, 2, 2
, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y = 0, z = -3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [0, 0],
[-1816187/1048576, -3632373/2097152]]]], [[1, 20, 2, 2, 3], [v < -2^(1/2), u =
(v^2+2)^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [0, 0], [-1/4194304, -\
1/4194304]]]], [[1, 20, 2, 2, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y
= 0, z = 3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288
], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[1, 20, 2, 2, 5], [
v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain,
[[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [0, 0], [3, 3]]]], [[2
, 2, 8, 6, 1], [v = -2^(1/2), u = -2, x = 1, y = 0, z = z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [0, 0], [0, 0]]]], [[2, 4
, 7, 1, 1], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[2, 4, 7, 1, 2
], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]],
[[2, 4, 7, 1, 3], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y < -x-2, And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-4, -4], [0
, 0]]]], [[2, 4, 7, 1, 4], [v = -2^(1/2), u = -3^(1/2), And(0 < x,x < 1), y <
-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-4, -4], [980853/524288, 
1961707/1048576]]]], [[2, 4, 7, 1, 5], [v = -2^(1/2), u = -3^(1/2), And(0 < x,
x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-4, -4], [3
, 3]]]], [[2, 7, 5, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u
^2+1), And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-1527887/
2097152, -1527887/2097152], [35579/262144, 35579/262144], [-2, -2]]]], [[2, 7,
5, 5, 2], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,
y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/
2097152], [35579/262144, 35579/262144], [-201839/262144, -3229423/4194304]]]],
[[2, 7, 5, 5, 3], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), 
And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/262144, 35579/
262144], [-3/8388608, -3/8388608]]]], [[2, 7, 5, 5, 4], [v = -2^(1/2), And(v <
u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/262144, 35579/
262144], [807355/1048576, 201839/262144]]]], [[2, 7, 5, 5, 5], [v = -2^(1/2),
And(v < u,u < -1), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), (-x-y)^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/
262144, 35579/262144], [2, 2]]]], [[2, 9, 4, 4, 1], [v = -2^(1/2), And(-1 < u,
u < 0), x = -1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-1, -1], [0, 0], [-2, -2]]]], [[2, 9, 4, 4, 2], [v = -
2^(1/2), And(-1 < u,u < 0), x = -1, y = 0, z = -1], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [0, 0], [-1, -1]]]], [[2, 9
, 4, 4, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, y = 0, And(-1 < z,z < 1)
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1]
, [0, 0], [0, 0]]]], [[2, 9, 4, 4, 4], [v = -2^(1/2), And(-1 < u,u < 0), x = -\
1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2,
-1/2], [-1, -1], [0, 0], [1, 1]]]], [[2, 9, 4, 4, 5], [v = -2^(1/2), And(-1 <
u,u < 0), x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-1, -1], [0, 0], [2, 2]]]], [[2, 13, 3, 8, 1], [v = -2
^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [166651/131072, 1333209/
1048576], [-1, -1]]]], [[2, 13, 3, 8, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(u^2-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -\
2666417/2097152], [166651/131072, 1333209/1048576], [0, 0]]]], [[2, 13, 3, 8,
3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [166651/131072, 1333209/
1048576], [1, 1]]]], [[2, 15, 4, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x = -1, And(-u^2+2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [-\
497805/2097152, -497805/2097152], [-3, -3]]]], [[2, 15, 4, 3, 2], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), z = -(1-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-1, -1], [-497805/2097152, -497805/2097152], [-1166407/1048576, -\
583203/524288]]]], [[2, 15, 4, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1, -1], [-497805/2097152, -497805/2097152], [0, 0]]]], [[2, 15, 4,
3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, And(-u^2+2 < y,y < 0),
z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-1, -1], [-497805/2097152, -497805/2097152
], [583203/524288, 1166407/1048576]]]], [[2, 15, 4, 3, 5], [v = -2^(1/2), And(
-v < u,u < 3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-1, -1], [-497805/2097152, -497805/2097152], [3, 3]]]], [[3, 1, 5,
6, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -
x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [-\
1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[3, 1, 5, 6, 2], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]
]]], [[3, 1, 5, 6, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 3, 2, 5, 1], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, 
And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288,
-2599117/1048576], [5700201/2097152, 5700201/2097152], [0, 0]]]], [[3, 7, 5, 5
, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x <
-u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-1498947/2097152, -1498947/2097152], [149551/1048576, 149551/1048576], [-2, -2
]]]], [[3, 7, 5, 5, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2
)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/1048576, 
149551/1048576], [-49571/65536, -3172543/4194304]]]], [[3, 7, 5, 5, 3], [And(-
2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1)
, And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/1048576, 
149551/1048576], [-3/8388608, -3/8388608]]]], [[3, 7, 5, 5, 4], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0
< y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/2097152, -\
1498947/2097152], [149551/1048576, 149551/1048576], [793135/1048576, 49571/
65536]]]], [[3, 7, 5, 5, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)
^(1/2)), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-1498947/2097152, -1498947/2097152], [149551/1048576, 
149551/1048576], [2, 2]]]], [[3, 9, 4, 4, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0], [-2, -2]]]],
[[3, 9, 4, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [0, 0], [-1, -1], [0, 0], [-1, -1]]]], [[3, 9, 4, 4, 3], [And(-2^(1
/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, And
(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0]
, [-1, -1], [0, 0], [0, 0]]]], [[3, 9, 4, 4, 4], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0]
, [1, 1]]]], [[3, 9, 4, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1, -1], [0, 0], [2, 2]]]], [[3, 17, 9, 5
, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1),
And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-7909297/4194304, -\
7909297/4194304], [0, 0]]]], [[4, 2, 4, 4, 1], [v = -1, u = -3^(1/2), x = -1,
y = 0, z < -1], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152
], [-1, -1], [0, 0], [-2, -2]]]], [[4, 2, 4, 4, 2], [v = -1, u = -3^(1/2), x =
-1, y = 0, z = -1], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-1, -1], [0, 0], [-1, -1]]]], [[4, 2, 4, 4, 3], [v = -1, u = -3^(1/
2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-1, -1], [0, 0], [0, 0]]]], [[4, 2, 4, 4, 4], [v
= -1, u = -3^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-1, -1], [0, 0], [1, 1]]]], [[4, 2, 4, 4,
5], [v = -1, u = -3^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1, -1], [
-1816187/1048576, -3632373/2097152], [-1, -1], [0, 0], [2, 2]]]], [[4, 6, 4, 3
, 1], [v = -1, u = -1, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[4, 6,
4, 3, 2], [v = -1, u = -1, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [0, 0], [-1/2, -1/2], [-1482911/2097152, -\
741455/1048576]]]], [[4, 6, 4, 3, 3], [v = -1, u = -1, x = 0, And(-1 < y,y < 0
), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1],
[0, 0], [-1/2, -1/2], [0, 0]]]], [[4, 6, 4, 3, 4], [v = -1, u = -1, x = 0, And
(-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [0, 0],
[-1/2, -1/2], [741455/1048576, 46341/65536]]]], [[4, 6, 4, 3, 5], [v = -1, u =
-1, x = 0, And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1,
-1], [0, 0], [-1/2, -1/2], [2, 2]]]], [[4, 8, 4, 7, 1], [v = -1, u = 0, x = -1
, 1 < y, z = z], [regular_chain, [[-1, -1], [0, 0], [-1, -1], [2, 2], [0, 0]]]
], [[4, 14, 2, 2, 1], [v = -1, u = 3^(1/2), x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [0, 0],
[-3, -3]]]], [[4, 14, 2, 2, 2], [v = -1, u = 3^(1/2), x = -3, y = 0, z = -3^(1
/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [
0, 0], [-1816187/1048576, -3632373/2097152]]]], [[4, 14, 2, 2, 3], [v = -1, u
= 3^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1
, -1], [908093/524288, 1816187/1048576], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[4, 14, 2, 2, 4], [v = -1, u = 3^(1/2), x = -3, y = 0, z = 3^(1/
2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [0
, 0], [908093/524288, 1816187/1048576]]]], [[4, 14, 2, 2, 5], [v = -1, u = 3^(
1/2), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [-3, -3], [0, 0], [3, 3]]]], [[4, 15, 10, 1, 1], [v = -1, 3^
(1/2) < u, x = u^2-2, y < -2*u^2+2, z < -(-u^2-y+2)^(1/2)], [regular_chain, [[
-1, -1], [3, 3], [7, 7], [-17, -17], [-5, -5]]]], [[4, 15, 10, 1, 2], [v = -1,
3^(1/2) < u, x = u^2-2, y < -2*u^2+2, z = -(-u^2-y+2)^(1/2)], [regular_chain,
[[-1, -1], [3, 3], [7, 7], [-17, -17], [-3315889/1048576, -207243/65536]]]], [
[4, 15, 10, 1, 3], [v = -1, 3^(1/2) < u, x = u^2-2, y < -2*u^2+2, And(-(-u^2-y
+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [7, 7
], [-17, -17], [0, 0]]]], [[4, 15, 10, 1, 4], [v = -1, 3^(1/2) < u, x = u^2-2,
y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [7, 7]
, [-17, -17], [207243/65536, 3315889/1048576]]]], [[4, 15, 10, 1, 5], [v = -1,
3^(1/2) < u, x = u^2-2, y < -2*u^2+2, (-u^2-y+2)^(1/2) < z], [regular_chain, [
[-1, -1], [3, 3], [7, 7], [-17, -17], [5, 5]]]], [[5, 4, 6, 4, 1], [And(-1 < v
,v < 0), u = -(v^2+1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/
2], [-146543/131072, -1172343/1048576], [0, 0], [0, 0], [-1, -1]]]], [[5, 4, 6
, 4, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0], [0,
0], [0, 0]]]], [[5, 4, 6, 4, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0
, y = 0, 0 < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [0, 0], [0, 0], [1, 1]]]], [[5, 6, 5, 3, 1], [And(-1 < v,v < 0), u =
v, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[5, 6, 5, 3,
2], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]
, [-1482911/2097152, -741455/1048576]]]], [[5, 6, 5, 3, 3], [And(-1 < v,v < 0)
, u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1]
, [0, 0]]]], [[5, 6, 5, 3, 4], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), 
And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [[5, 6, 5, 3, 5
], [And(-1 < v,v < 0), u = v, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [-1, -1],
[2, 2]]]], [[5, 9, 5, 9, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2))
, And(-1 < x,x < u^2-v^2-1), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/2097152], [2, 2
], [0, 0]]]], [[5, 11, 4, 8, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1, -1], [767309/524288, 1534619/1048576], [0,
0]]]], [[6, 1, 11, 1, 1], [v = 0, u < -2^(1/2), u^2-1 < x, y < -u^2-x-1, z < -
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-20, -20], [-5, -5]
]]], [[6, 1, 11, 1, 2], [v = 0, u < -2^(1/2), u^2-1 < x, y < -u^2-x-1, z = -(-
x-y)^(1/2)], [regular_chain, [[0, 0], [-3, -3], [9, 9], [-20, -20], [-1738867/
524288, -3477733/1048576]]]], [[6, 1, 11, 1, 3], [v = 0, u < -2^(1/2), u^2-1 <
x, y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0
, 0], [-3, -3], [9, 9], [-20, -20], [0, 0]]]], [[6, 1, 11, 1, 4], [v = 0, u <
-2^(1/2), u^2-1 < x, y < -u^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[0, 0],
[-3, -3], [9, 9], [-20, -20], [3477733/1048576, 1738867/524288]]]], [[6, 1, 11
, 1, 5], [v = 0, u < -2^(1/2), u^2-1 < x, y < -u^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [9, 9], [-20, -20], [5, 5]]]], [[6, 3, 7, 9,
1], [v = 0, And(-2^(1/2) < u,u < -1), And(0 < x,x < u^2-1), u^2-x-1 < y, z = z
], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/
1048576, 239655/1048576], [2, 2], [0, 0]]]], [[6, 9, 6, 1, 1], [v = 0, And(1 <
u,u < 2^(1/2)), x = 0, y < -u^2-1, z < -(-y)^(1/2)], [regular_chain, [[0, 0],
[1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [-3, -3]]]], [[6, 9, 6,
1, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, y < -u^2-1, z = -(-y)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0, 0], [-4, -4],
[-2, -2]]]], [[6, 9, 6, 1, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, y < -u^2
-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [0, 0], [-4, -4], [0, 0]]]], [[6, 9, 6, 1, 4], [v =
0, And(1 < u,u < 2^(1/2)), x = 0, y < -u^2-1, z = (-y)^(1/2)], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [0, 0], [-4, -4], [2, 2]]]], [[6,
9, 6, 1, 5], [v = 0, And(1 < u,u < 2^(1/2)), x = 0, y < -u^2-1, (-y)^(1/2) < z
], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [0, 0], [-4, -\
4], [3, 3]]]], [[6, 11, 3, 2, 1], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1),
y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -\
11/2], [-9/2, -9/2], [-5, -5]]]], [[6, 11, 3, 2, 2], [v = 0, 2^(1/2) < u, And(
-u^2-1 < x,x < -1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0]
, [3, 3], [-11/2, -11/2], [-9/2, -9/2], [-3315889/1048576, -207243/65536]]]],
[[6, 11, 3, 2, 3], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y = -u^2-x-1,
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [3, 3], [
-11/2, -11/2], [-9/2, -9/2], [0, 0]]]], [[6, 11, 3, 2, 4], [v = 0, 2^(1/2) < u
, And(-u^2-1 < x,x < -1), y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[
0, 0], [3, 3], [-11/2, -11/2], [-9/2, -9/2], [207243/65536, 3315889/1048576]]]
], [[6, 11, 3, 2, 5], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y = -u^2-x-\
1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-9/2,
-9/2], [5, 5]]]], [[7, 3, 9, 4, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152, 1534619/
2097152], [-1534619/2097152, -1534619/2097152], [-1, -1]]]], [[7, 3, 9, 4, 2],
[And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 1), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [1534619/2097152, 1534619/2097152], [-1534619/2097152, -\
1534619/2097152], [0, 0]]]], [[7, 3, 9, 4, 3], [And(0 < v,v < 1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1534619/2097152
, 1534619/2097152], [-1534619/2097152, -1534619/2097152], [1, 1]]]], [[7, 5, 8
, 1, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^
2-1, z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[7, 5, 8, 1, 2], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)
], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0],
[-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[7, 5, 8, 1, 3], [And(0 <
v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/
2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[7, 5, 8, 1,
4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1,
z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[7, 5, 8, 1,
5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y < -u^2+v^2-1,
(-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [0, 0], [-3, -3], [3, 3]]]], [[8, 1, 3, 7, 1], [v = 1, u < -3^(1/2),
And(-u^2 < x,x < -1), And(-x < y,y < u^2-x-2), z = z], [regular_chain, [[1, 1]
, [-3, -3], [-5, -5], [17/2, 17/2], [0, 0]]]], [[8, 3, 1, 1, 1], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), x < -u^2, y < 0, z < -(-x-y)^(1/2)], [regular_chain
, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-1, -1], [-4, -4]]
]], [[8, 3, 1, 1, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y < 0,
z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[8, 3, 1,
1, 3], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y < 0, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-4, -4], [-1, -1], [0, 0]]]], [[8, 3, 1, 1, 4], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [-1, -\
1], [2344687/1048576, 146543/65536]]]], [[8, 3, 1, 1, 5], [v = 1, And(-3^(1/2)
< u,u < -2^(1/2)), x < -u^2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1, 1]
, [-6598195/4194304, -6598195/4194304], [-4, -4], [-1, -1], [4, 4]]]], [[8, 7,
3, 6, 1], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = -u^2-x, z < u]
, [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [9/8, 9/8], [-2, -2]]
]], [[8, 7, 3, 6, 2], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = -u
^2-x, z = u], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [9/8, 9/8
], [-1/2, -1/2]]]], [[8, 7, 3, 6, 3], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x
,x < -1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1/2, -1/2
], [-11/8, -11/8], [9/8, 9/8], [0, 0]]]], [[8, 7, 3, 6, 4], [v = 1, And(-1 < u
,u < 0), And(u^2-2 < x,x < -1), y = -u^2-x, z = -u], [regular_chain, [[1, 1],
[-1/2, -1/2], [-11/8, -11/8], [9/8, 9/8], [1/2, 1/2]]]], [[8, 7, 3, 6, 5], [v
= 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), y = -u^2-x, -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [9/8, 9/8], [2, 2]]]], [
[8, 9, 2, 7, 1], [v = 1, And(0 < u,u < 1), x = u^2-2, -u^2+2 < y, z = z], [
regular_chain, [[1, 1], [1/2, 1/2], [-7/4, -7/4], [3, 3], [0, 0]]]], [[8, 14,
7, 4, 1], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2, 1/2], [-1/2, -\
1/2], [-1, -1]]]], [[8, 14, 7, 4, 2], [v = 1, u = 3^(1/2), And(0 < x,x < 1), y
= -x, z = 0], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1/2,
1/2], [-1/2, -1/2], [0, 0]]]], [[8, 14, 7, 4, 3], [v = 1, u = 3^(1/2), And(0 <
x,x < 1), y = -x, 0 < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[9, 1, 4, 7, 1], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, And(1 < y,y < u^2-v^2), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1], [
8957873/2097152, 8957873/2097152], [0, 0]]]], [[9, 5, 3, 7, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(u^2-
v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [2029049/2097152, 2029049/2097152], [-2, -2]]]], [[9, 5, 3, 7,
2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
646847/524288, -646847/524288], [2029049/2097152, 2029049/2097152], [-270523/
524288, -1082091/2097152]]]], [[9, 5, 3, 7, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [2029049/2097152, 2029049/2097152], [-1/4194304, -1/
4194304]]]], [[9, 5, 3, 7, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-646847/524288, -646847/524288], [2029049/2097152, 
2029049/2097152], [541045/1048576, 270523/524288]]]], [[9, 5, 3, 7, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1),
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/
524288, -646847/524288], [2029049/2097152, 2029049/2097152], [2, 2]]]], [[9, 7
, 4, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y
= -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/
1048576, 299103/524288], [-2, -2]]]], [[9, 7, 4, 6, 2], [And(1 < v,v < 2^(1/2)
), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/1048576, 299103/524288], [-1374407/2097152
, -687203/1048576]]]], [[9, 7, 4, 6, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-1, -1], [598205/1048576, 299103/524288], [0, 0]]
]], [[9, 7, 4, 6, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [
598205/1048576, 299103/524288], [687203/1048576, 171801/262144]]]], [[9, 7, 4,
6, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1, y = -u
^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/1048576, 
299103/524288], [2, 2]]]], [[9, 9, 9, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [
1527887/2097152, 1527887/2097152], [-284633/1048576, -35579/131072], [0, 0]]]]
, [[9, 11, 8, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= 0, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [1, 1], [0, 0]]]], [[9, 15, 11, 3, 1]
, [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, 
And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-6793421/
2097152, -6793421/2097152], [-3, -3]]]], [[9, 15, 11, 3, 2], [And(1 < v,v < 2^
(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,
y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [2, 2], [-6793421/2097152, -6793421/
2097152], [-583671/524288, -1167341/1048576]]]], [[9, 15, 11, 3, 3], [And(1 <
v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-
x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-\
6793421/2097152, -6793421/2097152], [0, 0]]]], [[9, 15, 11, 3, 4], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-\
1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [2, 2], [-6793421/2097152, -6793421/
2097152], [1167341/1048576, 583671/524288]]]], [[9, 15, 11, 3, 5], [And(1 < v,
v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-\
1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [2, 2], [-6793421/2097152, -6793421/
2097152], [3, 3]]]], [[9, 17, 8, 6, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, x = 1, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [1, 1], [0, 0], [0, 0]]]], [[10, 5, 9, 7, 1], [v = 2^(1/2), And(-3^(
1/2) < u,u < -v), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [1/2,
1/2], [-1/4, -1/4], [0, 0]]]], [[10, 7, 10, 6, 1], [v = 2^(1/2), And(-v < u,u
< -1), x = 1, y = -1, z < 0], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[10,
7, 10, 6, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y = -1, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-1, -1], [0, 0]]]], [[10, 7, 10, 6, 3], [v = 2^(1/2), And(-
v < u,u < -1), x = 1, y = -1, 0 < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-1, -1], [1, 1]]]],
[[10, 11, 9, 6, 1], [v = 2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y =
-u^2-x+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [7/8, 7/8], [-1/8, -1/8], [0, 0]]]], [[10, 13, 8, 7, 1], [v = 2^(1/2), And(
1 < u,u < v), x = 0, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[11,
2, 9, 6, 1], [2^(1/2) < v, u = -(v^2+2)^(1/2), 1 < x, y = 1-x, z = z], [
regular_chain, [[3, 3], [-1738867/524288, -3477733/1048576], [2, 2], [-1, -1],
[0, 0]]]], [[11, 4, 8, 5, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, And(-1
< y,y < 0), z = z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536]
, [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 9, 2, 1, 1], [2^(1/2) < v, And(-(v^2-\
1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1)^(1
/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-\
657547/262144, -5260375/2097152], [-1, -1], [-3, -3]]]], [[11, 9, 2, 1, 2], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y < 0,
z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-657547/262144, -5260375/2097152], [-1, -1], [-7856171/
4194304, -3928085/2097152]]]], [[11, 9, 2, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^(1/2)
< z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-657547/262144, -5260375/2097152], [-1, -1], [-1/4194304,
-1/4194304]]]], [[11, 9, 2, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(
v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain
, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/262144, -5260375/
2097152], [-1, -1], [982021/524288, 1964043/1048576]]]], [[11, 9, 2, 1, 5], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y < 0,
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-657547/262144, -5260375/2097152], [-1, -1], [3, 3]]]], [[
11, 10, 8, 4, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [1, 1], [-1, -1]
, [-1, -1]]]], [[11, 10, 8, 4, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 1, y
= -1, z = 0], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [
1, 1], [-1, -1], [0, 0]]]], [[11, 10, 8, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/
2), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [1, 1], [-1, -1], [1, 1]]]], [[11, 15, 11, 7, 1], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-1, -1],
[0, 0]]]], [[11, 18, 1, 6, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, y = -x
, z < 0], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3],
[3, 3], [-1, -1]]]], [[11, 18, 1, 6, 2], [2^(1/2) < v, u = (v^2+1)^(1/2), x <
-2, y = -x, z = 0], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576],
[-3, -3], [3, 3], [0, 0]]]], [[11, 18, 1, 6, 3], [2^(1/2) < v, u = (v^2+1)^(1/
2), x < -2, y = -x, 0 < z], [regular_chain, [[3, 3], [207243/65536, 3315889/
1048576], [-3, -3], [3, 3], [1, 1]]]], [[11, 21, 11, 4, 1], [2^(1/2) < v, (v^2
+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, z < 0], [regular_chain, [[3, 3], [5, 5],
[16, 16], [-16, -16], [-1, -1]]]], [[11, 21, 11, 4, 2], [2^(1/2) < v, (v^2+2)^
(1/2) < u, u^2-v^2-1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [5, 5], [16
, 16], [-16, -16], [0, 0]]]], [[11, 21, 11, 4, 3], [2^(1/2) < v, (v^2+2)^(1/2)
< u, u^2-v^2-1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [5, 5], [16, 16],
[-16, -16], [1, 1]]]], [[1, 2, 1, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x
< -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[1, 2,
1, 5, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576]
, [-4, -4], [5/2, 5/2], [-1284239/1048576, -642119/524288]]]], [[1, 2, 1, 5, 3
], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-4, -4], [5/2, 5/2], [0, 0]]]], [[1, 2, 1, 5, 4], [v < -2^(
1/2), u = -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [5/2,
5/2], [642119/524288, 1284239/1048576]]]], [[1, 2, 1, 5, 5], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [5/2,
5/2], [3, 3]]]], [[1, 3, 9, 6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-265267/1048576, -132633/524288], [0, 0]]]], [[1,
8, 1, 4, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y = -x-2, z < -2^(1/2)
], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3],
[1, 1], [-3, -3]]]], [[1, 8, 1, 4, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x <
-2, y = -x-2, z = -2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[
1, 8, 1, 4, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y = -x-2, And(-2^(1
/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [-3, -3], [1, 1], [0, 0]]]], [[1, 8, 1, 4, 4], [v < -2^(1/2), u = -
(v^2-1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3, -3], [1, 1], [741455/524288, 1482911
/1048576]]]], [[1, 8, 1, 4, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, y =
-x-2, 2^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [1, 1], [3, 3]]]], [[1, 9, 11, 3, 1], [v < -2^(1/2), And(-
(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-13648983/4194304, -13648983/4194304], [-3, -3]]]], [[1, 9,
11, 3, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, 
And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-13648983/4194304, -13648983/
4194304], [-587149/524288, -1174297/1048576]]]], [[1, 9, 11, 3, 3], [v < -2^(1
/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [2, 2], [-13648983/4194304, -13648983/
4194304], [0, 0]]]], [[1, 9, 11, 3, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [-\
13648983/4194304, -13648983/4194304], [1174297/1048576, 587149/524288]]]], [[1
, 9, 11, 3, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 <
x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3],
[-22960369/8388608, -22960369/8388608], [2, 2], [-13648983/4194304, -13648983/
4194304], [3, 3]]]], [[1, 15, 3, 8, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-657289/524288, -657289/524288], [657289/
524288, 657289/524288], [-1, -1]]]], [[1, 15, 3, 8, 2], [v < -2^(1/2), And((v^
2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/524288,
-657289/524288], [657289/524288, 657289/524288], [0, 0]]]], [[1, 15, 3, 8, 3],
[v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), y = -
x, 0 < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
657289/524288, -657289/524288], [657289/524288, 657289/524288], [1, 1]]]], [[1
, 17, 4, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2
+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [-3, -3]]]], [[1
, 17, 4, 3, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2
+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [-1170799/
1048576, -585399/524288]]]], [[1, 17, 4, 3, 3], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y
)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1]
, [-517383/2097152, -517383/2097152], [0, 0]]]], [[1, 17, 4, 3, 4], [v < -2^(1
/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)
^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1],
[-517383/2097152, -517383/2097152], [585399/524288, 1170799/1048576]]]], [[1,
17, 4, 3, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v
^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [3, 3]]]], [[1,
21, 3, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), 
And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3, -3], [5, 5], [-9, -\
9], [33/2, 33/2], [0, 0]]]], [[2, 1, 9, 4, 1], [v = -2^(1/2), u < -2, And(1 <
x,x < u^2-3), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [7/2, 7/2], [-7/2, -7/2], [-1, -1]]]], [[2, 1, 9, 4, 2], [v
= -2^(1/2), u < -2, And(1 < x,x < u^2-3), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-7/2, -7/2], [0, 0]]]
], [[2, 1, 9, 4, 3], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), y = -x, 0 <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2],
[-7/2, -7/2], [1, 1]]]], [[2, 10, 3, 6, 1], [v = -2^(1/2), u = 0, And(-3 < x,x
< -1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [0
, 0], [-2, -2], [2, 2], [-1, -1]]]], [[2, 10, 3, 6, 2], [v = -2^(1/2), u = 0,
And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-2, -2], [2, 2], [0, 0]]]], [[2, 10, 3, 6, 3], [v = -
2^(1/2), u = 0, And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [0, 0], [-2, -2], [2, 2], [1, 1]]]], [[2, 11, 11, 5
, 1], [v = -2^(1/2), And(0 < u,u < 1), 1 < x, And(-x < y,y < -u^2-x+1), z = z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-\
13/8, -13/8], [0, 0]]]], [[2, 16, 4, 2, 1], [v = -2^(1/2), u = 3^(1/2), x = -1
, y = -1, z < -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[908093/524288, 1816187/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[2, 16, 4,
2, 2], [v = -2^(1/2), u = 3^(1/2), x = -1, y = -1, z = -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[2, 16,
4, 2, 3], [v = -2^(1/2), u = 3^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[2, 16, 4, 2, 4], [v = -2^(1
/2), u = 3^(1/2), x = -1, y = -1, z = 2^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1], [-1, -1]
, [741455/524288, 1482911/1048576]]]], [[2, 16, 4, 2, 5], [v = -2^(1/2), u = 3
^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-1, -1], [-1, -1], [3, 3]]]
], [[2, 18, 2, 2, 1], [v = -2^(1/2), u = 2, x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [0, 0],
[-3, -3]]]], [[2, 18, 2, 2, 2], [v = -2^(1/2), u = 2, x = -3, y = 0, z = -3^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [
0, 0], [-1816187/1048576, -3632373/2097152]]]], [[2, 18, 2, 2, 3], [v = -2^(1/
2), u = 2, x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [2, 2], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[2, 18, 2, 2, 4], [v = -2^(1/2), u = 2, x = -3, y = 0, z = 3^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [0
, 0], [908093/524288, 1816187/1048576]]]], [[2, 18, 2, 2, 5], [v = -2^(1/2), u
= 2, x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-3, -3], [0, 0], [3, 3]]]], [[3, 4, 1, 7, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3, -\
3], [4, 4], [0, 0]]]], [[3, 5, 11, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2
+1)^(1/2) < u,u < v), 1 < x, y = -x, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-2,
-2], [-1, -1]]]], [[3, 5, 11, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(
1/2) < u,u < v), 1 < x, y = -x, z = 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-2, -2], [0,
0]]]], [[3, 5, 11, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), 1 < x, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-2, -2], [1, 1]]]], [
[3, 10, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And(-1
< y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]]
, [[3, 10, 4, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And
(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [-\
1284239/1048576, -642119/524288]]]], [[3, 10, 4, 3, 3], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[3, 10, 4, 3, 4],
[And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = (
1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/
1048576]]]], [[3, 10, 4, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [-1/2,
-1/2], [3, 3]]]], [[3, 12, 2, 5, 1], [And(-2^(1/2) < v,v < -1), u = -v, x = -1
, 1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
1265743/1048576, 1265743/1048576], [-1, -1], [2, 2], [0, 0]]]], [[3, 15, 2, 4,
1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -
u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576]
, [2599117/1048576, 1299559/524288], [-1, -1]]]], [[3, 15, 2, 4, 2], [And(-2^(
1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y
= u^2-v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576], [2599117/
1048576, 1299559/524288], [0, 0]]]], [[3, 15, 2, 4, 3], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1,
0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-1299559/524288, -2599117/1048576], [2599117/1048576, 1299559
/524288], [1, 1]]]], [[3, 16, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = 1, And(-4 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [
-5/2, -5/2], [-3, -3]]]], [[3, 16, 8, 3, 2], [And(-2^(1/2) < v,v < -1), u = (v
^2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1],
[-5/2, -5/2], [-1284239/1048576, -642119/524288]]]], [[3, 16, 8, 3, 3], [And(-
2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), And(-(-y-1)
^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [-5/2, -5/2], [0, 0]]]], [[
3, 16, 8, 3, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, And(-4 <
y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [-5/2, -5/2], [642119/
524288, 1284239/1048576]]]], [[3, 16, 8, 3, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1],
[-5/2, -5/2], [3, 3]]]], [[4, 3, 5, 5, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1
/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1/4, 1/4], [
-2, -2]]]], [[4, 3, 5, 5, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1
< x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]
], [[4, 3, 5, 5, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0
), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1/4, 1/4], [
0, 0]]]], [[4, 3, 5, 5, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 <
x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [
[4, 3, 5, 5, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), 
And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[4, 5, 4, 4,
1], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y = 0, z < -1], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [-2, -2]]]]
, [[4, 5, 4, 4, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y = 0, z = -1],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [0,
0], [-1, -1]]]], [[4, 5, 4, 4, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = -1,
y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1, -1], [0, 0], [0, 0]]]], [[4, 5, 4, 4, 4], [v = -1, And(
-2^(1/2) < u,u < -1), x = -1, y = 0, z = 1], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [1, 1]]]], [[4, 5, 4, 4,
5], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, y = 0, 1 < z], [regular_chain,
[[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [0, 0], [2, 2]]]],
[[4, 11, 4, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2+1 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1, -1], [-239655/1048576, -239655/1048576], [-3, -3]]]], [[4, 11,
4, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), z =
-(1-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-1, -1], [-239655/1048576, -239655/1048576], [-1162243/1048576, -581121/
524288]]]], [[4, 11, 4, 3, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, And(-u
^2+1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-1, -1], [-239655/1048576, -239655/
1048576], [0, 0]]]], [[4, 11, 4, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = -\
1, And(-u^2+1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1, -1], [-239655/1048576, -239655/1048576
], [581121/524288, 1162243/1048576]]]], [[4, 11, 4, 3, 5], [v = -1, And(1 < u,
u < 2^(1/2)), x = -1, And(-u^2+1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [-239655/1048576, -\
239655/1048576], [3, 3]]]], [[4, 13, 3, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^
(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z < -u], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-\
1546383/2097152, -773191/1048576], [-3, -3]]]], [[4, 13, 3, 2, 2], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [-1546383/2097152, -773191/1048576], [-3299097/
2097152, -3299097/2097152]]]], [[4, 13, 3, 2, 3], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, And(-u < z,z < u)], [regular_chain
, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/
2097152], [-1546383/2097152, -773191/1048576], [-1/4194304, -1/4194304]]]], [[
4, 13, 3, 2, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1),
y = -u^2-x, z = u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-3643533/2097152, -3643533/2097152], [-1546383/2097152, -773191/
1048576], [412387/262144, 1649549/1048576]]]], [[4, 13, 3, 2, 5], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y = -u^2-x, u < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [-1546383/2097152, -773191/1048576], [3, 3]]]], [[
5, 1, 9, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-\
1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-3, -3], [35/8, 35/8], [-113/8, -113/8], [-5, -5]]]], [[5, 1, 9, 2, 2], [And(
-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8]
, [-113/8, -113/8], [-1637089/524288, -3274177/1048576]]]], [[5, 1, 9, 2, 3],
[And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2
-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1
/2, -1/2], [-3, -3], [35/8, 35/8], [-113/8, -113/8], [0, 0]]]], [[5, 1, 9, 2,
4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2
+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [35
/8, 35/8], [-113/8, -113/8], [3274177/1048576, 1637089/524288]]]], [[5, 1, 9,
2, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -
u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3],
[35/8, 35/8], [-113/8, -113/8], [5, 5]]]], [[5, 3, 6, 1, 1], [And(-1 < v,v < 0
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y
)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0,
0], [-4, -4], [-3, -3]]]], [[5, 3, 6, 1, 2], [And(-1 < v,v < 0), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [-4, -\
4], [-2, -2]]]], [[5, 3, 6, 1, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [
-4, -4], [0, 0]]]], [[5, 3, 6, 1, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0], [-4, -4], [2, 2]]]],
[[5, 3, 6, 1, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [0, 0], [-4, -4], [3, 3]]]], [[5, 12, 4, 1, 1]
, [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-3, -3], [-3, -3]]]], [[5
, 12, 4, 1, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y < -2, z = -(1
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-3, -3], [-2
, -2]]]], [[5, 12, 4, 1, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = -1, y
< -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [
3/2, 3/2], [-1, -1], [-3, -3], [0, 0]]]], [[5, 12, 4, 1, 4], [And(-1 < v,v < 0
), u = (v^2+2)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[-1/2
, -1/2], [3/2, 3/2], [-1, -1], [-3, -3], [2, 2]]]], [[5, 12, 4, 1, 5], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1, -1], [-3, -3], [3, 3]]]], [[5,
13, 11, 9, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, 0 < y, z
= z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [1, 1], [0, 0]]]], [[6, 4
, 8, 7, 1], [v = 0, u = -1, x = 1, 0 < y, z = z], [regular_chain, [[0, 0], [-1
, -1], [1, 1], [1, 1], [0, 0]]]], [[6, 6, 7, 4, 1], [v = 0, u = 0, 1 < x, y =
-x, z < 0], [regular_chain, [[0, 0], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[
6, 6, 7, 4, 2], [v = 0, u = 0, 1 < x, y = -x, z = 0], [regular_chain, [[0, 0],
[0, 0], [2, 2], [-2, -2], [0, 0]]]], [[6, 6, 7, 4, 3], [v = 0, u = 0, 1 < x, y
= -x, 0 < z], [regular_chain, [[0, 0], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[
7, 1, 2, 2, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4]
, [0, 0], [-5, -5]]]], [[7, 1, 2, 2, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2)
, x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3, -3], [-39/4, -39/4], [0, 0], [-1637089/524288, -3274177/1048576]]]], [[7,
1, 2, 2, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, And
(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2],
[-3, -3], [-39/4, -39/4], [0, 0], [0, 0]]]], [[7, 1, 2, 2, 4], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [0, 0], [3274177/1048576
, 1637089/524288]]]], [[7, 1, 2, 2, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
3, -3], [-39/4, -39/4], [0, 0], [5, 5]]]], [[7, 2, 8, 1, 1], [And(0 < v,v < 1)
, u = -(v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[1/2
, 1/2], [-3/2, -3/2], [1, 1], [-5, -5], [-3, -3]]]], [[7, 2, 8, 1, 2], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), x = 1, y < -4, z = -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1, 1], [-5, -5], [-2, -2]]]], [[7,
2, 8, 1, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 1, y < -4, And(-(-y-1)
^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1,
1], [-5, -5], [0, 0]]]], [[7, 2, 8, 1, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2
], [1, 1], [-5, -5], [2, 2]]]], [[7, 2, 8, 1, 5], [And(0 < v,v < 1), u = -(v^2
+2)^(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [1, 1], [-5, -5], [3, 3]]]], [[7, 7, 1, 8, 1], [And(0 < v,v < 1), 
And(-v < u,u < v), x < u^2-v^2-1, y = -x, z < 0], [regular_chain, [[1/2, 1/2],
[0, 0], [-3, -3], [3, 3], [-1, -1]]]], [[7, 7, 1, 8, 2], [And(0 < v,v < 1), 
And(-v < u,u < v), x < u^2-v^2-1, y = -x, z = 0], [regular_chain, [[1/2, 1/2],
[0, 0], [-3, -3], [3, 3], [0, 0]]]], [[7, 7, 1, 8, 3], [And(0 < v,v < 1), And(
-v < u,u < v), x < u^2-v^2-1, y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [0,
0], [-3, -3], [3, 3], [1, 1]]]], [[7, 9, 2, 3, 1], [And(0 < v,v < 1), And(v <
u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z < -(u^2-v^
2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152]
, [-736367/524288, -1472733/1048576], [424157/1048576, 424157/1048576], [-3, -\
3]]]], [[7, 9, 2, 3, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x =
-u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/1048576, 424157/1048576], [-1048577/1048576
, -1]]]], [[7, 9, 2, 3, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x
= -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^
2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/
2097152], [-736367/524288, -1472733/1048576], [424157/1048576, 424157/1048576]
, [0, 0]]]], [[7, 9, 2, 3, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/1048576, 424157/1048576], [1, 1048577/
1048576]]]], [[7, 9, 2, 3, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/1048576, 424157/1048576], [3, 3]]]], [[7, 
11, 7, 6, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And
(0 < x,x < u^2-v^2-1), y = 0, z = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [243021/1048576, 243021/1048576], [0, 0], [0, 0]]]], [
[7, 13, 4, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, u^2-v^2 < y, z
= z], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [10, 10], [0, 0]]]], [[8,
3, 10, 9, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x = 1, 0 < y, z = z], [
regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [1, 1], [1, 1],
[0, 0]]]], [[8, 5, 10, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(-u^
2-1 < y,y < u^2-3), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [1, 1], [-8388607/4194304, -8388607/4194304], [-2,
-2]]]], [[8, 5, 10, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, And(-u^2-1
< y,y < u^2-3), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576
, -1265743/1048576], [1, 1], [-8388607/4194304, -8388607/4194304], [-8388607/
8388608, -4398045986815/4398046511104]]]], [[8, 5, 10, 3, 3], [v = 1, And(-2^(
1/2) < u,u < -1), x = 1, And(-u^2-1 < y,y < u^2-3), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[1, 1], [-8388607/4194304, -8388607/4194304], [-3670015/8796093022208, -\
3670015/8796093022208]]]], [[8, 5, 10, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1)
, x = 1, And(-u^2-1 < y,y < u^2-3), z = (-y-1)^(1/2)], [regular_chain, [[1, 1]
, [-1265743/1048576, -1265743/1048576], [1, 1], [-8388607/4194304, -8388607/
4194304], [1048575/1048576, 1]]]], [[8, 5, 10, 3, 5], [v = 1, And(-2^(1/2) < u
,u < -1), x = 1, And(-u^2-1 < y,y < u^2-3), (-y-1)^(1/2) < z], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-8388607/4194304, -\
8388607/4194304], [2, 2]]]], [[8, 11, 9, 5, 1], [v = 1, And(1 < u,u < 2^(1/2))
, And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-\
1617841/2097152, -1617841/2097152], [-2, -2]]]], [[8, 11, 9, 5, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/
2], [-1617841/2097152, -1617841/2097152], [-273157/524288, -1092627/2097152]]]
], [[8, 11, 9, 5, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(u^
2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1617841/2097152, -\
1617841/2097152], [-1/4194304, -1/4194304]]]], [[8, 11, 9, 5, 4], [v = 1, And(
1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [
-1617841/2097152, -1617841/2097152], [546313/1048576, 273157/524288]]]], [[8,
11, 9, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), And(u^2-x-2 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [1/2, 1/2], [-1617841/2097152, -1617841/2097152], [2, 2]]]],
[[8, 13, 8, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = 0, z =
z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [0, 0], [0, 0]]]], [[9, 2, 3, 6, 1], [And(1 < v,v < 2
^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [2, 2], [-1, -1]]]], [[9, 2, 3, 6, 2], [And(1 < v,
v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [2, 2], [0, 0]]]], [[9, 2, 3, 6, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [2, 2], [1, 1]]]], [[9, 3, 11, 9, 1], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, 0 < y, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [2, 2], [1, 1], [0, 0]]]], [[9, 13, 2, 1, 1], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2
-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [-1, -1], [-3,
-3]]]], [[9, 13, 2, 1, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2
)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
384703/262144, -1538811/1048576], [-1, -1], [-1647141/1048576, -3294281/
2097152]]]], [[9, 13, 2, 1, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [-1, -1], [-1/
4194304, -1/4194304]]]], [[9, 13, 2, 1, 4], [And(1 < v,v < 2^(1/2)), And(v < u
,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-384703/262144, -1538811/1048576], [-1, -1], [411785/262144, 
1647141/1048576]]]], [[9, 13, 2, 1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-384703/262144, -1538811/1048576], [-1, -1], [3, 3]]]], [[9, 15, 1,
4, 1], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x <
-u^2+v^2-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [
797593/524288, 1595187/1048576], [-3, -3]]]], [[9, 15, 1, 4, 2], [And(1 < v,v
< 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -u^2
+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [797593/524288, 1595187/
1048576], [-3301741/2097152, -825435/524288]]]], [[9, 15, 1, 4, 3], [And(1 < v
,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, y = -
u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327/
524288], [-4, -4], [797593/524288, 1595187/1048576], [0, 0]]]], [[9, 15, 1, 4,
4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [797593/
524288, 1595187/1048576], [825435/524288, 1650871/1048576]]]], [[9, 15, 1, 4,
5], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^
2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [797593/
524288, 1595187/1048576], [3, 3]]]], [[10, 1, 7, 4, 1], [v = 2^(1/2), u < -2,
And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 1, 7, 4, 2],
[v = 2^(1/2), u < -2, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]]
, [[10, 1, 7, 4, 3], [v = 2^(1/2), u < -2, And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-1/2,
-1/2], [1, 1]]]], [[10, 3, 4, 7, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x
= -1, And(1 < y,y < u^2-2), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [2602619/2097152, 
2602619/2097152], [0, 0]]]], [[10, 9, 2, 2, 1], [v = 2^(1/2), And(-1 < u,u < 0
), x = u^2-3, y = 0, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [0, 0], [-3, -3]]]], [[10, 9,
2, 2, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = u^2-3, y = 0, z = -(-u^2+3)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4,
-11/4], [0, 0], [-1738867/1048576, -3477733/2097152]]]], [[10, 9, 2, 2, 3], [v
= 2^(1/2), And(-1 < u,u < 0), x = u^2-3, y = 0, And(-(-u^2+3)^(1/2) < z,z < (-
u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2
], [-11/4, -11/4], [0, 0], [-1/4194304, -1/4194304]]]], [[10, 9, 2, 2, 4], [v
= 2^(1/2), And(-1 < u,u < 0), x = u^2-3, y = 0, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4]
, [0, 0], [869433/524288, 1738867/1048576]]]], [[10, 9, 2, 2, 5], [v = 2^(1/2)
, And(-1 < u,u < 0), x = u^2-3, y = 0, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [0, 0], [3, 3]]
]], [[10, 10, 8, 5, 1], [v = 2^(1/2), u = 0, x = 1, And(-1 < y,y < 0), z = z],
[regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1, 1], [-1/2, -1/2
], [0, 0]]]], [[10, 15, 2, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u
^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [-1, -1], [-3, -3]]]], [[10, 15, 2, 1, 2], [v = 2^(1/2), And(v < u,u
< 3^(1/2)), x = -u^2+1, y < 0, z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/524288
, -1546381/1048576], [-1, -1], [-3299097/2097152, -3299097/2097152]]]], [[10,
15, 2, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y < 0, And(-(u
^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -\
1546381/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[10, 15, 2, 1, 4], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [-1, -1], [412387/262144, 
1649549/1048576]]]], [[10, 15, 2, 1, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = -u^2+1, y < 0, (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -\
1546381/1048576], [-1, -1], [3, 3]]]], [[10, 17, 1, 4, 1], [v = 2^(1/2), And(3
^(1/2) < u,u < 2), x < -u^2+1, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/
2097152], [-4, -4], [397921/262144, 1591685/1048576], [-3, -3]]]], [[10, 17, 1
, 4, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = -u^2-x+1, z = -
(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-4, -4], [397921/262144, 1591685/1048576], [-\
825991/524288, -3303963/2097152]]]], [[10, 17, 1, 4, 3], [v = 2^(1/2), And(3^(
1/2) < u,u < 2), x < -u^2+1, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^
(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152,
3913339/2097152], [-4, -4], [397921/262144, 1591685/1048576], [-1/4194304, -1/
4194304]]]], [[10, 17, 1, 4, 4], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^
2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [397921/262144
, 1591685/1048576], [1651981/1048576, 825991/524288]]]], [[10, 17, 1, 4, 5], [
v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, y = -u^2-x+1, (u^2-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/2097152, 
3913339/2097152], [-4, -4], [397921/262144, 1591685/1048576], [3, 3]]]], [[10,
19, 4, 5, 1], [v = 2^(1/2), 2 < u, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1], [1/2, 1
/2], [-2, -2]]]], [[10, 19, 4, 5, 2], [v = 2^(1/2), 2 < u, x = -1, And(0 < y,y
< 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3
, 3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[10, 19,
4, 5, 3], [v = 2^(1/2), 2 < u, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,
z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3],
[-1, -1], [1/2, 1/2], [0, 0]]]], [[10, 19, 4, 5, 4], [v = 2^(1/2), 2 < u, x =
-1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]
]], [[10, 19, 4, 5, 5], [v = 2^(1/2), 2 < u, x = -1, And(0 < y,y < 1), (1-y)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [-1, -1]
, [1/2, 1/2], [2, 2]]]], [[11, 1, 10, 6, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2),
x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[3, 3], [-5, -5], [15, 15], [0,
0], [0, 0]]]], [[11, 5, 9, 6, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v)
, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [-403851/131072,
-403851/131072], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 5, 9, 6, 2], [2^
(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1/2, 1/2], [-1/2, -\
1/2], [0, 0]]]], [[11, 5, 9, 6, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -
v), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[3, 3], [-403851/131072
, -403851/131072], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[11, 7, 10, 5, 1], [2
^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1),
z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [1, 1], [-2613723/2097152, -2613723/2097152], [-2, -2]]]], [[11, 7,
10, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [1, 1], [-2613723/2097152, -2613723/2097152], [-16263/32768,
-520415/1048576]]]], [[11, 7, 10, 5, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(
1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1],
[-2613723/2097152, -2613723/2097152], [0, 0]]]], [[11, 7, 10, 5, 4], [2^(1/2)
< v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-
y-1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1
, 1], [-2613723/2097152, -2613723/2097152], [520415/1048576, 16263/32768]]]],
[[11, 7, 10, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, And(-
u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1, 1], [-2613723/2097152, -2613723/2097152], [2,
2]]]], [[11, 13, 2, 6, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/
2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-5260377/2097152, -657547/262144], [395403/
131072, 3163225/1048576], [0, 0]]]], [[11, 15, 1, 9, 1], [2^(1/2) < v, And((v^
2-1)^(1/2) < u,u < v), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-3, -3], [4, 4], [0, 0]]]], [[11, 19, 4,
3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^
2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576
, 3396811/1048576], [-1, -1], [-391655/524288, -391655/524288], [-3, -3]]]], [
[11, 19, 4, 3, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-1, -1], [-391655/524288, -391655/524288],
[-346489/262144, -1385955/1048576]]]], [[11, 19, 4, 3, 3], [2^(1/2) < v, And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-
y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1, -1], [-391655/524288, -391655/524288], [0, 0]]]], [[11,
19, 4, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1,
And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1, -1], [-391655/524288, -391655/524288], [
1385955/1048576, 346489/262144]]]], [[11, 19, 4, 3, 5], [2^(1/2) < v, And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [
-391655/524288, -391655/524288], [3, 3]]]], [[11, 21, 1, 6, 1], [2^(1/2) < v,
(v^2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[3, 3], [5
, 5], [-18, -18], [18, 18], [-1, -1]]]], [[11, 21, 1, 6, 2], [2^(1/2) < v, (v^
2+2)^(1/2) < u, x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[3, 3], [5, 5
], [-18, -18], [18, 18], [0, 0]]]], [[11, 21, 1, 6, 3], [2^(1/2) < v, (v^2+2)^
(1/2) < u, x < -u^2+v^2-1, y = -x, 0 < z], [regular_chain, [[3, 3], [5, 5], [-\
18, -18], [18, 18], [1, 1]]]], [[1, 5, 1, 7, 1], [v < -2^(1/2), And(-(v^2+1)^(
1/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2
)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [
720033/262144, 720033/262144], [-2, -2]]]], [[1, 5, 1, 7, 2], [v < -2^(1/2), 
And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-3, -3], [720033/262144, 720033/262144], [-527729/1048576, -1055457/2097152]]
]], [[1, 5, 1, 7, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v
^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [720033/
262144, 720033/262144], [-1/4194304, -1/4194304]]]], [[1, 5, 1, 7, 4], [v < -2
^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x < -u^2+v^2-1, And(u^2-v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-3, -3], [720033/262144, 720033/262144], [32983/65536, 527729/
1048576]]]], [[1, 5, 1, 7, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x
< -u^2+v^2-1, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-3, -3], [720033/262144, 720033/
262144], [2, 2]]]], [[1, 7, 2, 2, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [
0, 0], [-3, -3]]]], [[1, 7, 2, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1
/2)), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [
0, 0], [-1287385/1048576, -160923/131072]]]], [[1, 7, 2, 2, 3], [v < -2^(1/2),
And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) <
z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0], [0, 0]]]], [[1,
7, 2, 2, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y =
0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3161161/2097152, -395145/262144], [0, 0], [160923/131072,
1287385/1048576]]]], [[1, 7, 2, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3
], [-6111549/2097152, -6111549/2097152], [-3161161/2097152, -395145/262144], [
0, 0], [3, 3]]]], [[1, 11, 1, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [0, 0], [-11, -11], [1, 1], [-5, -5]]]], [[1, 11, 1,
4, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1
, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0]
, [-11, -11], [1, 1], [-3315889/1048576, -207243/65536]]]], [[1, 11, 1, 4, 3],
[v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = u
^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [0, 0], [-11, -11], [1, 1], [0, 0]]]], [[1, 11, 1, 4
, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1,
y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [
-11, -11], [1, 1], [207243/65536, 3315889/1048576]]]], [[1, 11, 1, 4, 5], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = u^2-v^
2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-11, -11],
[1, 1], [5, 5]]]], [[1, 12, 7, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0
< x,x < 1), And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3
], [2774271/1048576, 10837/4096], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[1, 12,
7, 3, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [1/2, 1/2], [-2, -2], [-1284239/1048576, -642119/524288]]]], [[1, 12, 7
, 3, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [1/2, 1/2], [-2, -2], [0, 0]]]], [[1, 12, 7, 3,
4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [
1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[1, 12, 7, 3, 5], [
v < -2^(1/2), u = (v^2-2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y
)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [1/2,
1/2], [-2, -2], [3, 3]]]], [[1, 18, 4, 3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2)
, x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[1, 18,
4, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1
-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1, -\
1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[1, 18, 4, 3, 3], [v
< -2^(1/2), u = (v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576]
, [-1, -1], [-1/2, -1/2], [0, 0]]]], [[1, 18, 4, 3, 4], [v < -2^(1/2), u = (v^
2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3,
-3], [207243/65536, 3315889/1048576], [-1, -1], [-1/2, -1/2], [642119/524288,
1284239/1048576]]]], [[1, 18, 4, 3, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x =
-1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[1, 20, 2, 3, 1],
[v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)],
[regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [3/2,
3/2], [-3, -3]]]], [[1, 20, 2, 3, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3
, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/
524288]]]], [[1, 20, 2, 3, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, And(0
< y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-3, -3],
[3477733/1048576, 1738867/524288], [-3, -3], [3/2, 3/2], [0, 0]]]], [[1, 20, 2
, 3, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)
^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3
], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [[1, 20, 2, 3, 5], [v < -2
^(1/2), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-3, -3], [3/2, 3
/2], [3, 3]]]], [[2, 2, 8, 5, 1], [v = -2^(1/2), u = -2, x = 1, And(-1 < y,y <
0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [1,
1], [-1/2, -1/2], [0, 0]]]], [[2, 4, 6, 5, 1], [v = -2^(1/2), u = -3^(1/2), x
= 0, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [0, 0], [1, 1], [0, 0]]]], [[2, 7, 5, 6, 1
], [v = -2^(1/2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = -u^2-x+1, z <
-(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152], [
35579/131072, 284633/1048576], [-2, -2]]]], [[2, 7, 5, 6, 2], [v = -2^(1/2), 
And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = -u^2-x+1, z = -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/
1048576], [-1417877/2097152, -354469/524288]]]], [[2, 7, 5, 6, 3], [v = -2^(1/
2), And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = -u^2-x+1, And(-(u^2-1)^(1/2
) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1265743/1048576, -1265743/1048576], [-1527887/2097152, -1527887/2097152],
[35579/131072, 284633/1048576], [0, 0]]]], [[2, 7, 5, 6, 4], [v = -2^(1/2), 
And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/
1048576], [354469/524288, 708939/1048576]]]], [[2, 7, 5, 6, 5], [v = -2^(1/2),
And(v < u,u < -1), And(-1 < x,x < -u^2+1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/
1048576], [2, 2]]]], [[2, 9, 4, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = -\
1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 9, 4, 5,
2], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -\
1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 9, 4, 5, 3], [v =
-2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z
< (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [-1, -1], [1/2, 1/2], [0, 0]]]], [[2, 9, 4, 5, 4], [v = -2^(1/2), And(-1
< u,u < 0), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[2, 9, 4, 5, 5], [v = -2^(1/2), And(-1 < u,u < 0),
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 13, 3,
7, 1], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(-u^2-x+1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/
2097152], [1093553/1048576, 1093553/1048576], [-2, -2]]]], [[2, 13, 3, 7, 2],
[v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[1265743/1048576, 1265743/1048576], [-2666417/2097152, -2666417/2097152], [
1093553/1048576, 1093553/1048576], [-31331/65536, -501295/1048576]]]], [[2, 13
, 3, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1), And(-u^2-
x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
2666417/2097152, -2666417/2097152], [1093553/1048576, 1093553/1048576], [0, 0]
]]], [[2, 13, 3, 7, 4], [v = -2^(1/2), And(1 < u,u < -v), And(u^2-3 < x,x < -1
), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-2666417/
2097152, -2666417/2097152], [1093553/1048576, 1093553/1048576], [501295/
1048576, 31331/65536]]]], [[2, 13, 3, 7, 5], [v = -2^(1/2), And(1 < u,u < -v),
And(u^2-3 < x,x < -1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-2666417/2097152, -2666417/2097152], [1093553/1048576, 1093553/
1048576], [2, 2]]]], [[2, 15, 4, 2, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [-248903/524288
, -497805/1048576], [-3, -3]]]], [[2, 15, 4, 2, 2], [v = -2^(1/2), And(-v < u,
u < 3^(1/2)), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1]
, [-248903/524288, -497805/1048576], [-1273381/1048576, -318345/262144]]]], [[
2, 15, 4, 2, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y = -u^2+2, 
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1], [-248903/
524288, -497805/1048576], [0, 0]]]], [[2, 15, 4, 2, 4], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-1, -1]
, [-248903/524288, -497805/1048576], [318345/262144, 1273381/1048576]]]], [[2,
15, 4, 2, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -1, y = -u^2+2, (u^2
-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-1, -1], [-248903/524288, -497805/1048576], [3, 3]
]]], [[3, 1, 5, 7, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(-1 <
x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [-1/2, -1/2], [7909297/2097152, 7909297/
2097152], [0, 0]]]], [[3, 3, 2, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [3101083/1048576, 
775271/262144], [0, 0]]]], [[3, 7, 5, 4, 1], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [0, 0], [-2, -2]]]], [
[3, 7, 5, 4, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And
(-1 < x,x < -u^2+v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1498947/
2097152, -1498947/2097152], [0, 0], [-3545995/4194304, -1772997/2097152]]]], [
[3, 7, 5, 4, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And
(-1 < x,x < -u^2+v^2-1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [0, 0], [-1/4194304, -\
1/4194304]]]], [[3, 7, 5, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^
2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [0, 0], [443249/524288
, 886499/1048576]]]], [[3, 7, 5, 4, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1498947/2097152, -1498947/2097152], [0, 0], [2, 2]]]], [[3
, 9, 4, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-763943/1048576, -\
763943/1048576], [-3, -3]]]], [[3, 9, 4, 3, 2], [And(-2^(1/2) < v,v < -1), And
(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z = -(
1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
1, -1], [-763943/1048576, -763943/1048576], [-689305/524288, -1378609/1048576]
]]], [[3, 9, 4, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^
(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1, -\
1], [-763943/1048576, -763943/1048576], [0, 0]]]], [[3, 9, 4, 3, 4], [And(-2^(
1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v
^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1, -1], [-763943/1048576, -763943/1048576], [1378609/
1048576, 689305/524288]]]], [[3, 9, 4, 3, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), (1-y)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1,
-1], [-763943/1048576, -763943/1048576], [3, 3]]]], [[3, 17, 9, 4, 1], [And(-2
^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, z < 0
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [7909297/
2097152, 7909297/2097152], [-7909297/2097152, -7909297/2097152], [-1, -1]]]],
[[3, 17, 9, 4, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, And(1 < x,x <
u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [7909297/2097152, 7909297/2097152], [-7909297/2097152, -\
7909297/2097152], [0, 0]]]], [[3, 17, 9, 4, 3], [And(-2^(1/2) < v,v < -1), (v^
2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [7909297/2097152, 7909297/2097152]
, [-7909297/2097152, -7909297/2097152], [1, 1]]]], [[4, 2, 4, 3, 1], [v = -1,
u = -3^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[
-1, -1], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [-3, -3]]]]
, [[4, 2, 4, 3, 2], [v = -1, u = -3^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-
y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[4, 2, 4, 3, 3], [v
= -1, u = -3^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^
(1/2))], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1,
-1], [-1, -1], [0, 0]]]], [[4, 2, 4, 3, 4], [v = -1, u = -3^(1/2), x = -1, And
(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576
, -3632373/2097152], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]],
[[4, 2, 4, 3, 5], [v = -1, u = -3^(1/2), x = -1, And(-2 < y,y < 0), (1-y)^(1/2
) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-1,
-1], [-1, -1], [3, 3]]]], [[4, 6, 4, 4, 1], [v = -1, u = -1, x = 0, y = 0, z <
0], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [0, 0], [-1, -1]]]], [[4, 6,
4, 4, 2], [v = -1, u = -1, x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [-\
1, -1], [0, 0], [0, 0], [0, 0]]]], [[4, 6, 4, 4, 3], [v = -1, u = -1, x = 0, y
= 0, 0 < z], [regular_chain, [[-1, -1], [-1, -1], [0, 0], [0, 0], [1, 1]]]], [
[4, 8, 5, 1, 1], [v = -1, u = 0, And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[
4, 8, 5, 1, 2], [v = -1, u = 0, And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)
], [regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3, -3], [-7846825/
4194304, -980853/524288]]]], [[4, 8, 5, 1, 3], [v = -1, u = 0, And(-1 < x,x <
0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1,
-1], [0, 0], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[4, 8, 5, 1, 4], [v = -1, u =
0, And(-1 < x,x < 0), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1],
[0, 0], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[4, 8, 5
, 1, 5], [v = -1, u = 0, And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [0, 0], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[4, 14,
2, 1, 1], [v = -1, u = 3^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [-1, -1]
, [-3, -3]]]], [[4, 14, 2, 1, 2], [v = -1, u = 3^(1/2), x = -3, y < 0, z = -(3
-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3,
-3], [-1, -1], [-2, -2]]]], [[4, 14, 2, 1, 3], [v = -1, u = 3^(1/2), x = -3, y
< 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[4, 14, 2, 1,
4], [v = -1, u = 3^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[4,
14, 2, 1, 5], [v = -1, u = 3^(1/2), x = -3, y < 0, (3-y)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-3, -3], [-1, -1]
, [3, 3]]]], [[4, 15, 9, 9, 1], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), u^
2-x-2 < y, z = z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [4, 4], [0, 0]]]
], [[5, 4, 6, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 0, 0 < y, z =
z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [0, 0],
[1, 1], [0, 0]]]], [[5, 6, 5, 4, 1], [And(-1 < v,v < 0), u = v, And(0 < x,x <
1), y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1/2], [
-1/2, -1/2], [-1, -1]]]], [[5, 6, 5, 4, 2], [And(-1 < v,v < 0), u = v, And(0 <
x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1/2, 1
/2], [-1/2, -1/2], [0, 0]]]], [[5, 6, 5, 4, 3], [And(-1 < v,v < 0), u = v, And
(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [1
/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[5, 9, 5, 8, 1], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/
2097152, -1672995/2097152], [836497/1048576, 418249/524288], [-1, -1]]]], [[5,
9, 5, 8, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(-1 < x,x <
u^2-v^2-1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1672995/2097152, -1672995/2097152], [836497/1048576, 
418249/524288], [0, 0]]]], [[5, 9, 5, 8, 3], [And(-1 < v,v < 0), And(-v < u,u
< (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1672995/2097152, -1672995/
2097152], [836497/1048576, 418249/524288], [1, 1]]]], [[5, 11, 4, 7, 1], [And(
-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(1 < y,y <
u^2-v^2), z = z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144
], [-1, -1], [1291597/1048576, 1291597/1048576], [0, 0]]]], [[6, 1, 11, 2, 1],
[v = 0, u < -2^(1/2), u^2-1 < x, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [9, 9], [-19, -19], [-5, -5]]]], [[6, 1, 11,
2, 2], [v = 0, u < -2^(1/2), u^2-1 < x, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-3, -3], [9, 9], [-19, -19], [-3315889/1048576, -\
207243/65536]]]], [[6, 1, 11, 2, 3], [v = 0, u < -2^(1/2), u^2-1 < x, y = -u^2
-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-3
, -3], [9, 9], [-19, -19], [0, 0]]]], [[6, 1, 11, 2, 4], [v = 0, u < -2^(1/2),
u^2-1 < x, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-3, -3]
, [9, 9], [-19, -19], [207243/65536, 3315889/1048576]]]], [[6, 1, 11, 2, 5], [
v = 0, u < -2^(1/2), u^2-1 < x, y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-3, -3], [9, 9], [-19, -19], [5, 5]]]], [[6, 3, 8, 1,
1], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y < -2*u^2, z < -(-u^2-y+1)^(
1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/
524288, 479311/1048576], [-4, -4], [-3, -3]]]], [[6, 3, 8, 1, 2], [v = 0, And(
-2^(1/2) < u,u < -1), x = u^2-1, y < -2*u^2, z = -(-u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [239655/524288,
479311/1048576], [-4, -4], [-7894761/4194304, -15789521/8388608]]]], [[6, 3, 8
, 1, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = u^2-1, y < -2*u^2, And(-(-u^2-y
+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [239655/524288, 479311/1048576], [-4, -4], [-1/
16777216, -1/16777216]]]], [[6, 3, 8, 1, 4], [v = 0, And(-2^(1/2) < u,u < -1),
x = u^2-1, y < -2*u^2, z = (-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [239655/524288, 479311/1048576], [-4, -4],
[986845/524288, 1973691/1048576]]]], [[6, 3, 8, 1, 5], [v = 0, And(-2^(1/2) <
u,u < -1), x = u^2-1, y < -2*u^2, (-u^2-y+1)^(1/2) < z], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [239655/524288, 479311/1048576], [-4
, -4], [3, 3]]]], [[6, 9, 5, 9, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(-1 < x
,x < 0), u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[6, 11, 3, 1, 1], [v = 0,
2^(1/2) < u, And(-u^2-1 < x,x < -1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-6, -6], [-5, -5]]]], [[6, 11
, 3, 1, 2], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y < -u^2-x-1, z = -(-
x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-6, -6], [-\
3555895/1048576, -1777947/524288]]]], [[6, 11, 3, 1, 3], [v = 0, 2^(1/2) < u,
And(-u^2-1 < x,x < -1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-6, -6], [0, 0]]]], [[6, 
11, 3, 1, 4], [v = 0, 2^(1/2) < u, And(-u^2-1 < x,x < -1), y < -u^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11/2, -11/2], [-6, -6], [
1777947/524288, 3555895/1048576]]]], [[6, 11, 3, 1, 5], [v = 0, 2^(1/2) < u, 
And(-u^2-1 < x,x < -1), y < -u^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[0,
0], [3, 3], [-11/2, -11/2], [-6, -6], [5, 5]]]], [[7, 3, 9, 5, 1], [And(0 < v,
v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1),
And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [1534619/2097152, 1534619/2097152], [-2097155/4194304
, -2097155/4194304], [0, 0]]]], [[7, 5, 8, 2, 1], [And(0 < v,v < 1), And(-(v^2
+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-\
736367/524288, -1472733/1048576], [-3, -3]]]], [[7, 5, 8, 2, 2], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0,
0], [-736367/524288, -1472733/1048576], [-19417/16384, -1242687/1048576]]]], [
[7, 5, 8, 2, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y =
-u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-736367/524288,
-1472733/1048576], [0, 0]]]], [[7, 5, 8, 2, 4], [And(0 < v,v < 1), And(-(v^2+1
)^(1/2) < u,u < -v), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [0, 0], [-\
736367/524288, -1472733/1048576], [1242687/1048576, 19417/16384]]]], [[7, 5, 8
, 2, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = 0, y = -u^2+v^
2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [0, 0], [-736367/524288, -1472733/1048576], [3, 3]]]], [[8,
1, 3, 8, 1], [v = 1, u < -3^(1/2), And(-u^2 < x,x < -1), y = u^2-x-2, z = z],
[regular_chain, [[1, 1], [-3, -3], [-5, -5], [12, 12], [0, 0]]]], [[8, 3, 1, 2
, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = 0, z < -(-x)^(1/2)
], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [0
, 0], [-3, -3]]]], [[8, 3, 1, 2, 2], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x
< -u^2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-4, -4], [0, 0], [-2, -2]]]], [[8, 3, 1, 2, 3], [v = 1, And
(-3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/
2))], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4],
[0, 0], [0, 0]]]], [[8, 3, 1, 2, 4], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x
< -u^2, y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [-4, -4], [0, 0], [2, 2]]]], [[8, 3, 1, 2, 5], [v = 1, And(-
3^(1/2) < u,u < -2^(1/2)), x < -u^2, y = 0, (-x)^(1/2) < z], [regular_chain, [
[1, 1], [-6598195/4194304, -6598195/4194304], [-4, -4], [0, 0], [3, 3]]]], [[8
, 7, 3, 5, 1], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), And(0 < y,y <
-u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -\
11/8], [9/16, 9/16], [-2, -2]]]], [[8, 7, 3, 5, 2], [v = 1, And(-1 < u,u < 0),
And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [9/16, 9/16], [-3780695/
4194304, -7561389/8388608]]]], [[8, 7, 3, 5, 3], [v = 1, And(-1 < u,u < 0), 
And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [9/16, 9/16],
[-5/16777216, -5/16777216]]]], [[8, 7, 3, 5, 4], [v = 1, And(-1 < u,u < 0), 
And(u^2-2 < x,x < -1), And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [9/16, 9/16], [945173/
1048576, 472587/524288]]]], [[8, 7, 3, 5, 5], [v = 1, And(-1 < u,u < 0), And(u
^2-2 < x,x < -1), And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[
1, 1], [-1/2, -1/2], [-11/8, -11/8], [9/16, 9/16], [2, 2]]]], [[8, 9, 2, 6, 1]
, [v = 1, And(0 < u,u < 1), x = u^2-2, y = -u^2+2, z < 0], [regular_chain, [[1
, 1], [1/2, 1/2], [-7/4, -7/4], [7/4, 7/4], [-1, -1]]]], [[8, 9, 2, 6, 2], [v
= 1, And(0 < u,u < 1), x = u^2-2, y = -u^2+2, z = 0], [regular_chain, [[1, 1],
[1/2, 1/2], [-7/4, -7/4], [7/4, 7/4], [0, 0]]]], [[8, 9, 2, 6, 3], [v = 1, And
(0 < u,u < 1), x = u^2-2, y = -u^2+2, 0 < z], [regular_chain, [[1, 1], [1/2, 1
/2], [-7/4, -7/4], [7/4, 7/4], [1, 1]]]], [[8, 14, 7, 5, 1], [v = 1, u = 3^(1/
2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[9, 1,
4, 8, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -1, y = u^2-v^2, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-1, -1],
[7909297/1048576, 3954649/524288], [0, 0]]]], [[9, 5, 3, 6, 1], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1), y = u^2-
v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [367677/524288, 735355/1048576], [-2, -2]]]], [[9, 5, 3, 6, 2], [And(
1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1)
, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [367677/524288, 735355/1048576], [-1530309/2097152, -382577/
524288]]]], [[9, 5, 3, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,
u < -v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -646847/
524288], [367677/524288, 735355/1048576], [0, 0]]]], [[9, 5, 3, 6, 4], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < -1),
y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-646847/524288, -\
646847/524288], [367677/524288, 735355/1048576], [382577/524288, 765155/
1048576]]]], [[9, 5, 3, 6, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-646847/524288, -646847/524288], [367677/524288, 735355/
1048576], [2, 2]]]], [[9, 7, 4, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u <
-(v^2-1)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [-2, -2]]]], [[9
, 7, 4, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1
, And(0 < y,y < -u^2+v^2), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [
598205/2097152, 598205/2097152], [-3545995/4194304, -1772997/2097152]]]], [[9,
7, 4, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1,
And(0 < y,y < -u^2+v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-1, -1], [598205/2097152, 598205/2097152], [-1/4194304, -1/
4194304]]]], [[9, 7, 4, 5, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1
)^(1/2)), x = -1, And(0 < y,y < -u^2+v^2), z = (1-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1,
-1], [598205/2097152, 598205/2097152], [443249/524288, 886499/1048576]]]], [[9
, 7, 4, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = -1
, And(0 < y,y < -u^2+v^2), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-1, -1], [598205/
2097152, 598205/2097152], [2, 2]]]], [[9, 9, 9, 7, 1], [And(1 < v,v < 2^(1/2))
, And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u
^2+v^2-x-1 < y,y < 0), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [1527887/2097152, 1527887/2097152], [-35579/262144, -35579/
262144], [0, 0]]]], [[9, 11, 9, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[9, 11, 9, 1, 2], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[9, 11, 9, 1, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,
u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[9, 11, 9, 1, 4], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [1/2, 1/2], [-4, -4], [980853/524288, 1961707
/1048576]]]], [[9, 11, 9, 1, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [1/2,
1/2], [-4, -4], [3, 3]]]], [[9, 15, 11, 2, 1], [And(1 < v,v < 2^(1/2)), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 
898327/524288], [2, 2], [-2348135/524288, -4696269/1048576], [-3, -3]]]], [[9,
15, 11, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-\
2348135/524288, -4696269/1048576], [-3301741/2097152, -825435/524288]]]], [[9,
15, 11, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288, 898327
/524288], [2, 2], [-2348135/524288, -4696269/1048576], [0, 0]]]], [[9, 15, 11,
2, 4], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-2348135/524288,
-4696269/1048576], [825435/524288, 1650871/1048576]]]], [[9, 15, 11, 2, 5], [
And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -
u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [2, 2], [-2348135/524288, -\
4696269/1048576], [3, 3]]]], [[9, 17, 8, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[10, 5, 9
, 8, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), And(0 < x,x < 1), y = 0, z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 7, 10, 7, 1], [v = 2^(1
/2), And(-v < u,u < -1), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1],
[-1/2, -1/2], [0, 0]]]], [[10, 11, 9, 5, 1], [v = 2^(1/2), And(0 < u,u < 1), 
And(-u^2+1 < x,x < 1), And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [7/8, 7/8], [-1/2, -1/2], [0, 0]]
]], [[10, 13, 8, 6, 1], [v = 2^(1/2), And(1 < u,u < v), x = 0, y = 0, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[10, 13, 8, 6, 2], [v = 2^(1/2), And(1
< u,u < v), x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[10,
13, 8, 6, 3], [v = 2^(1/2), And(1 < u,u < v), x = 0, y = 0, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [0, 0], [0, 0], [1, 1]]]], [[11, 2, 9, 5, 1], [2^(1/2) < v, u = -(v^
2+2)^(1/2), 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[3, 3], [-\
1738867/524288, -3477733/1048576], [2, 2], [-3/2, -3/2], [0, 0]]]], [[11, 4, 8
, 4, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1], [-1, -1], [
-1, -1]]]], [[11, 4, 8, 4, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 1, y = -1
, z = 0], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1, 1],
[-1, -1], [0, 0]]]], [[11, 4, 8, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
1, y = -1, 0 < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[1, 1], [-1, -1], [1, 1]]]], [[11, 9, 2, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [0, 0], [-3, -3]]]], [[11, 9, 2, 2, 2], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^
2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-657547/262144, -5260375/2097152], [0, 0], [-3321417/2097152, -\
415177/262144]]]], [[11, 9, 2, 2, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v
^2+1)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608]
, [-657547/262144, -5260375/2097152], [0, 0], [0, 0]]]], [[11, 9, 2, 2, 4], [2
^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-657547/262144, -5260375/2097152], [0, 0], [415177/262144,
1660709/1048576]]]], [[11, 9, 2, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [0, 0], [3, 3]]]], [[11, 10, 8, 5, 1], [2^(1/2) < v
, u = -(v^2-2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3
], [-5548543/2097152, -2774271/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11
, 15, 11, 6, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -x, z
< 0], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [2, 2], [-2
, -2], [-1, -1]]]], [[11, 15, 11, 6, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [6111549/2097152, 
6111549/2097152], [2, 2], [-2, -2], [0, 0]]]], [[11, 15, 11, 6, 3], [2^(1/2) <
v, And((v^2-1)^(1/2) < u,u < v), 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3
], [6111549/2097152, 6111549/2097152], [2, 2], [-2, -2], [1, 1]]]], [[11, 18,
1, 5, 1], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-3,
-3], [2, 2], [-2, -2]]]], [[11, 18, 1, 5, 2], [2^(1/2) < v, u = (v^2+1)^(1/2),
x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
207243/65536, 3315889/1048576], [-3, -3], [2, 2], [-1, -1]]]], [[11, 18, 1, 5,
3], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [207243/65536, 3315889
/1048576], [-3, -3], [2, 2], [0, 0]]]], [[11, 18, 1, 5, 4], [2^(1/2) < v, u =
(v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[3, 3], [207243/65536, 3315889/1048576], [-3, -3], [2, 2], [1, 1]]]], [[11,
18, 1, 5, 5], [2^(1/2) < v, u = (v^2+1)^(1/2), x < -2, And(-x-2 < y,y < -x), (
-x-y)^(1/2) < z], [regular_chain, [[3, 3], [207243/65536, 3315889/1048576], [-\
3, -3], [2, 2], [2, 2]]]], [[11, 21, 11, 5, 1], [2^(1/2) < v, (v^2+2)^(1/2) <
u, u^2-v^2-1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3]
, [5, 5], [16, 16], [-17/2, -17/2], [0, 0]]]], [[1, 2, 1, 6, 1], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), x < -3, y = -x, z < 0], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-4, -4], [4, 4], [-1, -1]]]], [[1, 2, 1, 6
, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y = -x, z = 0], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-4, -4], [4, 4
], [0, 0]]]], [[1, 2, 1, 6, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x < -3, y =
-x, 0 < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-\
4, -4], [4, 4], [1, 1]]]], [[1, 3, 9, 7, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < 0),
z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
1566621/2097152, 1566621/2097152], [-132633/1048576, -132633/1048576], [0, 0]]
]], [[1, 8, 1, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(0 < y,y <
-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[1, 8, 1, 3, 2], [v < -
2^(1/2), u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1
/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[1, 8, 1, 3, 3], [v < -2^(1/
2), u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-3, -3], [1/2, 1/2], [0, 0]]]], [[1, 8, 1, 3, 4], [v < -2^(1/2), u
= -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1/
2, 1/2], [207243/131072, 1657945/1048576]]]], [[1, 8, 1, 3, 5], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3, -3], [1/
2, 1/2], [3, 3]]]], [[1, 9, 11, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2], [-\
1181835/262144, -9454679/2097152], [-3, -3]]]], [[1, 9, 11, 2, 2], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = -(
-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-1181835/262144, -9454679/2097152], [-3321417/2097152, -\
415177/262144]]]], [[1, 9, 11, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u
^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [2, 2], [-1181835/262144, -9454679/2097152], [0, 0]]]], [[1, 9, 11,
2, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = u
^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [2, 2], [-1181835/262144, -9454679/2097152], [
415177/262144, 1660709/1048576]]]], [[1, 9, 11, 2, 5], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [2, 2
], [-1181835/262144, -9454679/2097152], [3, 3]]]], [[1, 15, 3, 9, 1], [v < -2^
(1/2), And((v^2-1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < -1), -x < y, z = z
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-657289/
524288, -657289/524288], [3, 3], [0, 0]]]], [[1, 17, 4, 4, 1], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [-1, -1], [0, 0], [-2, -2]]]], [[1, 17, 4,
4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z = -1], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [0, 0], [-\
1, -1]]]], [[1, 17, 4, 4, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
= -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-1, -1], [0, 0], [0, 0]]]], [[1, 17, 4, 4, 4], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[-3, -3
], [403851/131072, 403851/131072], [-1, -1], [0, 0], [1, 1]]]], [[1, 17, 4, 4,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [0, 0], [2
, 2]]]], [[1, 21, 3, 6, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 <
x,x < -1), y = -x, z < 0], [regular_chain, [[-3, -3], [5, 5], [-9, -9], [9, 9]
, [-1, -1]]]], [[1, 21, 3, 6, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u^2+v
^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [5, 5], [-9, -9],
[9, 9], [0, 0]]]], [[1, 21, 3, 6, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-u
^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [5, 5], [-9,
-9], [9, 9], [1, 1]]]], [[2, 1, 9, 3, 1], [v = -2^(1/2), u < -2, And(1 < x,x <
u^2-3), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-15/2, -15/2], [-3, -\
3]]]], [[2, 1, 9, 3, 2], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), And(-u^2
-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [7/2, 7/2], [-15/2, -15/2], [-2, -2]]]], [[2, 1, 9,
3, 3], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-3, -3], [7/2, 7/2], [-15/2, -15/2], [0, 0]]]], [[2, 1, 9, 3
, 4], [v = -2^(1/2), u < -2, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3]
, [7/2, 7/2], [-15/2, -15/2], [2, 2]]]], [[2, 1, 9, 3, 5], [v = -2^(1/2), u <
-2, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [7/2, 7/2], [-15
/2, -15/2], [3, 3]]]], [[2, 10, 3, 7, 1], [v = -2^(1/2), u = 0, And(-3 < x,x <
-1), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-2, -2], [5/2, 5/2], [0, 0]]]], [[2, 11, 11, 6, 1], [v = -2^
(1/2), And(0 < u,u < 1), 1 < x, y = -u^2-x+1, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [2, 2], [-5/4, -5/4], [0, 0]]]],
[[2, 16, 4, 1, 1], [v = -2^(1/2), u = 3^(1/2), x = -1, y < -1, z < -(1-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[2, 16, 4, 1, 2], [v = -2^
(1/2), u = 3^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1],
[-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[2, 16, 4, 1, 3], [v = -2^
(1/2), u = 3^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[2, 16, 4, 1, 4],
[v = -2^(1/2), u = 3^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1
], [-2, -2], [908093/524288, 1816187/1048576]]]], [[2, 16, 4, 1, 5], [v = -2^(
1/2), u = 3^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1],
[-2, -2], [3, 3]]]], [[2, 18, 2, 1, 1], [v = -2^(1/2), u = 2, x = -3, y < 0, z
< -(3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-3, -3], [-1, -1], [-3, -3]]]], [[2, 18, 2, 1, 2], [v = -2^(1/2), u = 2, x =
-3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [2, 2], [-3, -3], [-1, -1], [-2, -2]]]], [[2, 18, 2, 1, 3], [v = -2^(
1/2), u = 2, x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3], [-1, -1]
, [0, 0]]]], [[2, 18, 2, 1, 4], [v = -2^(1/2), u = 2, x = -3, y < 0, z = (3-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2], [-3, -3]
, [-1, -1], [2, 2]]]], [[2, 18, 2, 1, 5], [v = -2^(1/2), u = 2, x = -3, y < 0,
(3-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [2, 2],
[-3, -3], [-1, -1], [3, 3]]]], [[3, 4, 2, 1, 1], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [-1
, -1], [-3, -3]]]], [[3, 4, 2, 1, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^
(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-2, -2], [-1, -1], [-\
1816187/1048576, -3632373/2097152]]]], [[3, 4, 2, 1, 3], [And(-2^(1/2) < v,v <
-1), u = -(v^2+1)^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[3, 4, 2,
1, 4], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2, y < 0, z = (2-y)
^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576
]]]], [[3, 4, 2, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -2,
y < 0, (2-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-410915/262144, -3287319/2097152], [-2, -2], [-1, -1], [3, 3]]]], [[3, 5, 
11, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, 
And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-1, -1], [0, 0]]]], [
[3, 10, 4, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y = -1
, z < -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[3, 10, 4, 2
, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y = -1, z = -2^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[
3, 10, 4, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y = -1,
And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-1, -1], [-1, -1], [0, 0]]]], [[3,
10, 4, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y = -1, z
= 2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]
]], [[3, 10, 4, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y
= -1, 2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[3, 12, 2, 4,
1], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y = 1, z < 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [1265743/1048576, 1265743/1048576], [-1
, -1], [1, 1], [-1, -1]]]], [[3, 12, 2, 4, 2], [And(-2^(1/2) < v,v < -1), u =
-v, x = -1, y = 1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[3
, 12, 2, 4, 3], [And(-2^(1/2) < v,v < -1), u = -v, x = -1, y = 1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [1265743/1048576, 
1265743/1048576], [-1, -1], [1, 1], [1, 1]]]], [[3, 15, 2, 3, 1], [And(-2^(1/2
) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1299559/524288,
-2599117/1048576], [2599117/2097152, 2599117/2097152], [-3, -3]]]], [[3, 15, 2
, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [2599117/2097152, 2599117/
2097152], [-583671/524288, -1167341/1048576]]]], [[3, 15, 2, 3, 3], [And(-2^(1
/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And
(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1299559/524288, -2599117/1048576], [2599117/2097152, 2599117/
2097152], [0, 0]]]], [[3, 15, 2, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (
u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1299559/524288, -2599117/1048576], [2599117/
2097152, 2599117/2097152], [1167341/1048576, 583671/524288]]]], [[3, 15, 2, 3,
5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -
u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-\
1299559/524288, -2599117/1048576], [2599117/2097152, 2599117/2097152], [3, 3]]
]], [[3, 16, 8, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, y
= -4, z < -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[3, 16, 8, 2,
2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, y = -4, z = -3^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [
[3, 16, 8, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, y = -4,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [-4, -4], [-1/4194304, -1/
4194304]]]], [[3, 16, 8, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1, 1], [-4, -4], [908093/524288, 
1816187/1048576]]]], [[3, 16, 8, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-4, -4], [3, 3]]]]
, [[4, 3, 5, 6, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0)
, y = -x, z < 0], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[4, 3, 5, 6, 2], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [-1/2, -1/2],
[1/2, 1/2], [0, 0]]]], [[4, 3, 5, 6, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[4, 5, 4, 5,
1], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), z < -(1-y
)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1
, -1], [239655/1048576, 239655/1048576], [-2, -2]]]], [[4, 5, 4, 5, 2], [v = -\
1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), z = -(1-y)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [
239655/1048576, 239655/1048576], [-460493/524288, -7367887/8388608]]]], [[4, 5
, 4, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = -1, And(0 < y,y < u^2-1), 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576], [-7/
16777216, -7/16777216]]]], [[4, 5, 4, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1)
, x = -1, And(0 < y,y < u^2-1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [
-1265743/1048576, -1265743/1048576], [-1, -1], [239655/1048576, 239655/1048576
], [920985/1048576, 460493/524288]]]], [[4, 5, 4, 5, 5], [v = -1, And(-2^(1/2)
< u,u < -1), x = -1, And(0 < y,y < u^2-1), (1-y)^(1/2) < z], [regular_chain, [
[-1, -1], [-1265743/1048576, -1265743/1048576], [-1, -1], [239655/1048576, 
239655/1048576], [2, 2]]]], [[4, 11, 4, 2, 1], [v = -1, And(1 < u,u < 2^(1/2))
, x = -1, y = -u^2+1, z < -u], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288], [-3, -3]]]], [[
4, 11, 4, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y = -u^2+1, z = -u],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -1], [-\
479311/1048576, -239655/524288], [-1265743/1048576, -1265743/1048576]]]], [[4,
11, 4, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = -1, y = -u^2+1, And(-u < z,
z < u)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1, -\
1], [-479311/1048576, -239655/524288], [0, 0]]]], [[4, 11, 4, 2, 4], [v = -1,
And(1 < u,u < 2^(1/2)), x = -1, y = -u^2+1, z = u], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288
], [1265743/1048576, 1265743/1048576]]]], [[4, 11, 4, 2, 5], [v = -1, And(1 <
u,u < 2^(1/2)), x = -1, y = -u^2+1, u < z], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1, -1], [-479311/1048576, -239655/524288]
, [3, 3]]]], [[4, 13, 3, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(-u^
2 < x,x < -1), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-2,
-2], [-3, -3]]]], [[4, 13, 3, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), 
And(-u^2 < x,x < -1), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [
-2, -2], [-16217095/8388608, -8108547/4194304]]]], [[4, 13, 3, 1, 3], [v = -1,
And(2^(1/2) < u,u < 3^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-3643533/2097152, -3643533/2097152], [-2, -2], [-3/8388608,
-3/8388608]]]], [[4, 13, 3, 1, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), And(
-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-3643533/2097152, -3643533/2097152], [-2,
-2], [15837/8192, 2027137/1048576]]]], [[4, 13, 3, 1, 5], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), And(-u^2 < x,x < -1), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-3643533/
2097152, -3643533/2097152], [-2, -2], [3, 3]]]], [[5, 1, 9, 3, 1], [And(-1 < v
,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/
8], [-37/4, -37/4], [-4, -4]]]], [[5, 1, 9, 3, 2], [And(-1 < v,v < 0), u < -(v
^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [-37/4, -37/
4], [-1157597/524288, -2315193/1048576]]]], [[5, 1, 9, 3, 3], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x)
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3
, -3], [35/8, 35/8], [-37/4, -37/4], [0, 0]]]], [[5, 1, 9, 3, 4], [And(-1 < v,
v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8],
[-37/4, -37/4], [2315193/1048576, 1157597/524288]]]], [[5, 1, 9, 3, 5], [And(-\
1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8,
35/8], [-37/4, -37/4], [4, 4]]]], [[5, 3, 6, 2, 1], [And(-1 < v,v < 0), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0, 0
], [-2583195/1048576, -1291597/524288], [-3, -3]]]], [[5, 3, 6, 2, 2], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [-3291611/2097152
, -1645805/1048576]]]], [[5, 3, 6, 2, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [0, 0]]]], [[5, 3
, 6, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [0, 0], [-2583195/1048576, -1291597/524288], [
1645805/1048576, 822903/524288]]]], [[5, 3, 6, 2, 5], [And(-1 < v,v < 0), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [0,
0], [-2583195/1048576, -1291597/524288], [3, 3]]]], [[5, 12, 3, 9, 1], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), And(-3 < x,x < -1), 1-x < y, z = z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-2, -2], [4, 4], [0, 0]]]], [[5, 13
, 11, 8, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = 0, z =
z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [0, 0], [0, 0]]]], [[6, 4,
9, 1, 1], [v = 0, u = -1, 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [regular_chain,
[[0, 0], [-1, -1], [2, 2], [-5, -5], [-3, -3]]]], [[6, 4, 9, 1, 2], [v = 0, u
= -1, 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1],
[2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[6, 4, 9, 1, 3], [
v = 0, u = -1, 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]
], [[6, 4, 9, 1, 4], [v = 0, u = -1, 1 < x, y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[6, 4, 9, 1, 5], [v = 0, u = -1, 1 < x, y < -x-2, (-x-y)^(1/2) <
z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-5, -5], [3, 3]]]], [[6, 6, 7,
5, 1], [v = 0, u = 0, 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[0, 0
], [0, 0], [2, 2], [-1, -1], [0, 0]]]], [[7, 1, 2, 1, 1], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/4], [-1, -1], [-5, -5]]]], [
[7, 1, 2, 1, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0,
z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4, -39/
4], [-1, -1], [-3437987/1048576, -1718993/524288]]]], [[7, 1, 2, 1, 3], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2
) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4
, -39/4], [-1, -1], [0, 0]]]], [[7, 1, 2, 1, 4], [And(0 < v,v < 1), u < -(v^2+
2)^(1/2), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-3, -3], [-39/4, -39/4], [-1, -1], [1718993/524288, 3437987/1048576
]]]], [[7, 1, 2, 1, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -u^2+v^2-1,
y < 0, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-39/4
, -39/4], [-1, -1], [5, 5]]]], [[7, 2, 7, 9, 1], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [1/2, 1/2], [2, 2], [0, 0]]]], [[7, 7, 1, 9, 1], [And(0 < v,v < 1),
And(-v < u,u < v), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[1/2, 1/2],
[0, 0], [-3, -3], [4, 4], [0, 0]]]], [[7, 9, 2, 4, 1], [And(0 < v,v < 1), And(
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-\
736367/524288, -1472733/1048576], [424157/524288, 848315/1048576], [-2, -2]]]]
, [[7, 9, 2, 4, 2], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+
v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2],
[1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [
424157/524288, 848315/1048576], [-1618333/2097152, -3236665/4194304]]]], [[7,
9, 2, 4, 3], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1,
y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/
524288, -1472733/1048576], [424157/524288, 848315/1048576], [-1/8388608, -1/
8388608]]]], [[7, 9, 2, 4, 4], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2))
, x = -u^2+v^2-1, y = 2*u^2-2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/
1048576], [424157/524288, 848315/1048576], [404583/524288, 809167/1048576]]]],
[[7, 9, 2, 4, 5], [And(0 < v,v < 1), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^
2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [
1696631/2097152, 1696631/2097152], [-736367/524288, -1472733/1048576], [424157
/524288, 848315/1048576], [2, 2]]]], [[7, 11, 7, 7, 1], [And(0 < v,v < 1), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), And(0 < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [243021/1048576, 243021/1048576], [243021/2097152, 243021/2097152], [
0, 0]]]], [[7, 13, 5, 1, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,
x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3,
3], [-1/2, -1/2], [-11, -11], [-5, -5]]]], [[7, 13, 5, 1, 2], [And(0 < v,v < 1
), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-11, -11], [-3555895/
1048576, -1777947/524288]]]], [[7, 13, 5, 1, 3], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-11, -11], [0, 0
]]]], [[7, 13, 5, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x <
0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[-1/2, -1/2], [-11, -11], [1777947/524288, 3555895/1048576]]]], [[7, 13, 5, 1,
5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1,
(-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-1/2, -1/2], [-11, -\
11], [5, 5]]]], [[8, 3, 10, 8, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), x =
1, y = 0, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/4194304
], [1, 1], [0, 0], [0, 0]]]], [[8, 5, 10, 2, 1], [v = 1, And(-2^(1/2) < u,u <
-1), x = 1, y = -u^2-1, z < u], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2576463/1048576, -1288231/524288], [-3, -3]]]], [[
8, 5, 10, 2, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, z = u],
[regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
2576463/1048576, -1288231/524288], [-1265743/1048576, -1265743/1048576]]]], [[
8, 5, 10, 2, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, And(u <
z,z < -u)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [1,
1], [-2576463/1048576, -1288231/524288], [0, 0]]]], [[8, 5, 10, 2, 4], [v = 1,
And(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, z = -u], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [1, 1], [-2576463/1048576, -1288231/
524288], [1265743/1048576, 1265743/1048576]]]], [[8, 5, 10, 2, 5], [v = 1, And
(-2^(1/2) < u,u < -1), x = 1, y = -u^2-1, -u < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [1, 1], [-2576463/1048576, -1288231/524288
], [3, 3]]]], [[8, 11, 9, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x <
1), y = -x, z < 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576
], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[8, 11, 9, 6, 2], [v = 1, And(1 < u
,u < 2^(1/2)), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[8, 
11, 9, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), And(0 < x,x < 1), y = -x, 0 < z]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [1/2, 1/2], [-1
/2, -1/2], [1, 1]]]], [[8, 13, 8, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = u^2-2, 0 < y, z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [497805/1048576, 248903/524288], [1, 1], [0, 0]]]], [[9, 2, 3, 5, 1]
, [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3899297/2097152, -7798593/4194304], [-2, -2], [1, 1], [-2, -2]]]], [[9, 2,
3, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And
(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3899297/2097152, -7798593/4194304], [-2, -2], [1, 1], [-1, -1]]]]
, [[9, 2, 3, 5, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x
< -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-2, -2], [1, 1], [0, 0]]]], [[9, 2, 3, 5, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-2, -2], [1, 1], [1, 1]]]], [[9, 2, 3, 5, 5], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3899297/2097152, -7798593/4194304], [-2, -2], [1, 1], [2, 2]]]], [[9, 3, 11,
8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1
< x, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [2, 2], [0, 0], [0, 0]]]], [[9, 13, 2, 2
, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y
= 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [0, 0], [-3, -3]]]], [[9, 13, 2, 2, 2], [And(1 < v,v < 2^(1/2)), And
(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-384703/262144, -1538811/1048576], [0, 0], [-1270261/1048576, -\
317565/262144]]]], [[9, 13, 2, 2, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (
v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-384703/262144, -1538811/1048576], [0, 0], [0, 0]]
]], [[9, 13, 2, 2, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-384703/262144
, -1538811/1048576], [0, 0], [317565/262144, 1270261/1048576]]]], [[9, 13, 2,
2, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1,
y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-384703/262144, -1538811/
1048576], [0, 0], [3, 3]]]], [[9, 15, 1, 5, 1], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[898327/524288, 898327/524288], [-4, -4], [5789491/2097152, 5789491/2097152],
[-3, -3]]]], [[9, 15, 1, 5, 2], [And(1 < v,v < 2^(1/2)), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [898327/524288,
898327/524288], [-4, -4], [5789491/2097152, 5789491/2097152], [-583671/524288,
-1167341/1048576]]]], [[9, 15, 1, 5, 3], [And(1 < v,v < 2^(1/2)), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [898327/524288, 898327/524288], [-4, -4], [5789491/2097152,
5789491/2097152], [0, 0]]]], [[9, 15, 1, 5, 4], [And(1 < v,v < 2^(1/2)), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
898327/524288, 898327/524288], [-4, -4], [5789491/2097152, 5789491/2097152], [
1167341/1048576, 583671/524288]]]], [[9, 15, 1, 5, 5], [And(1 < v,v < 2^(1/2))
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [898327/524288, 898327/524288], [-4, -4], [5789491/2097152, 5789491/
2097152], [3, 3]]]], [[10, 1, 7, 3, 1], [v = 2^(1/2), u < -2, And(0 < x,x < 1)
, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-9/2, -9/2], [-3, -3]]]], [[
10, 1, 7, 3, 2], [v = 2^(1/2), u < -2, And(0 < x,x < 1), And(-u^2-x+1 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3, -3], [1/2, 1/2], [-9/2, -9/2], [-2, -2]]]], [[10, 1, 7, 3, 3], [v = 2^(1/2)
, u < -2, And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3],
[1/2, 1/2], [-9/2, -9/2], [0, 0]]]], [[10, 1, 7, 3, 4], [v = 2^(1/2), u < -2,
And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-9/2, -9/2], [2, 2]]
]], [[10, 1, 7, 3, 5], [v = 2^(1/2), u < -2, And(0 < x,x < 1), And(-u^2-x+1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-3, -3], [1/2, 1/2], [-9/2, -9/2], [3, 3]]]], [[10, 3, 4, 6, 1], [v = 2^(1
/2), And(-2 < u,u < -3^(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[741455
/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-1, -1], [1,
1], [-1, -1]]]], [[10, 3, 4, 6, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x
= -1, y = 1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-1, -1], [1, 1], [0, 0]]]], [[10, 3, 4, 6
, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-1, -1], [1, 1], [1, 1]]]], [[10, 9, 2, 3, 1], [v = 2^(1/2), And(-1
< u,u < 0), x = u^2-3, And(0 < y,y < -u^2+3), z < -(-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4]
, [11/8, 11/8], [-3, -3]]]], [[10, 9, 2, 3, 2], [v = 2^(1/2), And(-1 < u,u < 0
), x = u^2-3, And(0 < y,y < -u^2+3), z = -(-u^2-y+3)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4], [11/8, 11/8],
[-1229565/1048576, -307391/262144]]]], [[10, 9, 2, 3, 3], [v = 2^(1/2), And(-1
< u,u < 0), x = u^2-3, And(0 < y,y < -u^2+3), And(-(-u^2-y+3)^(1/2) < z,z < (-
u^2-y+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1
/2], [-11/4, -11/4], [11/8, 11/8], [0, 0]]]], [[10, 9, 2, 3, 4], [v = 2^(1/2),
And(-1 < u,u < 0), x = u^2-3, And(0 < y,y < -u^2+3), z = (-u^2-y+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4, -11/4]
, [11/8, 11/8], [307391/262144, 1229565/1048576]]]], [[10, 9, 2, 3, 5], [v = 2
^(1/2), And(-1 < u,u < 0), x = u^2-3, And(0 < y,y < -u^2+3), (-u^2-y+3)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-11/4,
-11/4], [11/8, 11/8], [3, 3]]]], [[10, 10, 8, 6, 1], [v = 2^(1/2), u = 0, x =
1, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [
1, 1], [0, 0], [0, 0]]]], [[10, 15, 1, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1
/2)), x < -u^2+1, -x < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-3, -3], [4, 4], [0, 0]]]], [[
10, 17, 1, 3, 1], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(0 < y,
y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [397921/524288, 397921
/524288], [-3, -3]]]], [[10, 17, 1, 3, 2], [v = 2^(1/2), And(3^(1/2) < u,u < 2
), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4],
[397921/524288, 397921/524288], [-7550943/4194304, -3775471/2097152]]]], [[10,
17, 1, 3, 3], [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(0 < y,y <
-u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4, -4], [
397921/524288, 397921/524288], [-1/4194304, -1/4194304]]]], [[10, 17, 1, 3, 4]
, [v = 2^(1/2), And(3^(1/2) < u,u < 2), x < -u^2+1, And(0 < y,y < -u^2-x+1), z
= (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3913339/
2097152, 3913339/2097152], [-4, -4], [397921/524288, 397921/524288], [1887735/
1048576, 235967/131072]]]], [[10, 17, 1, 3, 5], [v = 2^(1/2), And(3^(1/2) < u,
u < 2), x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [3913339/2097152, 3913339/2097152], [-4,
-4], [397921/524288, 397921/524288], [3, 3]]]], [[10, 19, 4, 4, 1], [v = 2^(1/
2), 2 < u, x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[10, 19, 4, 4, 2], [v = 2^(1
/2), 2 < u, x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[10, 19, 4, 4, 3], [v = 2^(1
/2), 2 < u, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[10, 19, 4, 4, 4], [
v = 2^(1/2), 2 < u, x = -1, y = 0, z = 1], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1, -1], [0, 0], [1, 1]]]], [[10, 19, 4, 4, 5], [v
= 2^(1/2), 2 < u, x = -1, y = 0, 1 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [-1, -1], [0, 0], [2, 2]]]], [[11, 1, 10, 5, 1], [2^
(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z = z
], [regular_chain, [[3, 3], [-5, -5], [15, 15], [-15/2, -15/2], [0, 0]]]], [[
11, 5, 9, 7, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), And(0 < x,x < 1
), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 7, 10, 6, 1], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y = -1, z < 0], [regular_chain
, [[3, 3], [-6111549/2097152, -6111549/2097152], [1, 1], [-1, -1], [-1, -1]]]]
, [[11, 7, 10, 6, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 1, y =
-1, z = 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1,
1], [-1, -1], [0, 0]]]], [[11, 7, 10, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^
2-1)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [1, 1], [-1, -1], [1, 1]]]], [[11, 13, 2, 5, 1], [2^(1/2)
< v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 <
y,y < -2*u^2+2*v^2), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023
/524288], [-5260377/2097152, -657547/262144], [5793413/2097152, 5793413/
2097152], [0, 0]]]], [[11, 15, 1, 8, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x < u^2-v^2-1, y = -x, z < 0], [regular_chain, [[3, 3], [6111549/2097152
, 6111549/2097152], [-3, -3], [3, 3], [-1, -1]]]], [[11, 15, 1, 8, 2], [2^(1/2
) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = -x, z = 0], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [3, 3],
[0, 0]]]], [[11, 15, 1, 8, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x <
u^2-v^2-1, y = -x, 0 < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3, -3], [3, 3], [1, 1]]]], [[11, 19, 4, 4, 1], [2^(1/2) < v, And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[
11, 19, 4, 4, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
-1, y = 0, z = -1], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576
], [-1, -1], [0, 0], [-1, -1]]]], [[11, 19, 4, 4, 3], [2^(1/2) < v, And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [0, 0],
[0, 0]]]], [[11, 19, 4, 4, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1, -1], [0, 0], [1, 1]]]], [[11, 19, 4, 4, 5], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1, -1], [0, 0],
[2, 2]]]], [[11, 21, 1, 7, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, x < -u^2+v^2-1
, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [5, 5], [-18,
-18], [51/2, 51/2], [0, 0]]]], [[1, 2, 4, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(
1/2), x = -1, 2 < y, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1, -1], [3, 3], [0, 0]]]], [[1, 3, 9, 3, 1], [v < -2^(1/2)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u
^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
8363633/4194304, -8363633/4194304], [-3, -3]]]], [[1, 3, 9, 3, 2], [v < -2^(1/
2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(
-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
8363633/4194304, -8363633/4194304], [-1170947/1048576, -585473/524288]]]], [[1
, 3, 9, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576
], [1566621/2097152, 1566621/2097152], [-8363633/4194304, -8363633/4194304], [
0, 0]]]], [[1, 3, 9, 3, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
1566621/2097152, 1566621/2097152], [-8363633/4194304, -8363633/4194304], [
585473/524288, 1170947/1048576]]]], [[1, 3, 9, 3, 5], [v < -2^(1/2), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [1566621/2097152, 1566621/2097152], [-8363633/4194304, -\
8363633/4194304], [3, 3]]]], [[1, 8, 3, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/
2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[-1/4, -1/4], [-3, -3]]]], [[1, 8, 3, 3, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2)
, And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [-1/4, -1/4],
[-10837/8192, -1387135/1048576]]]], [[1, 8, 3, 3, 3], [v < -2^(1/2), u = -(v^2
-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-3/2, -3/2], [-1/4, -1/4], [0, 0]]]], [[1, 8, 3, 3, 4], [v < -2^(1/
2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), z = (-x-y)^(1
/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2,
-3/2], [-1/4, -1/4], [1387135/1048576, 10837/8192]]]], [[1, 8, 3, 3, 5], [v <
-2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^
(1/2) < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[1, 9, 8, 7, 1], [v < -2^(1/2), And(-(
v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, 0 < y, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [1, 1], [0, 0]]]], [[1, 15, 7, 3, 1], [v < -2^(1/2),
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,
y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/
2097152, -1580581/2097152], [-2, -2]]]], [[1, 15, 7, 3, 2], [v < -2^(1/2), And
((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152
, 6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/2097152, -\
1580581/2097152], [-1, -1]]]], [[1, 15, 7, 3, 3], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-
x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
1580581/2097152, -1580581/2097152], [0, 0]]]], [[1, 15, 7, 3, 4], [v < -2^(1/2
), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 <
y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/
2097152, -1580581/2097152], [1, 1]]]], [[1, 15, 7, 3, 5], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -
u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-516571/2097152, -516571/2097152], [-1580581/2097152, -\
1580581/2097152], [2, 2]]]], [[1, 17, 3, 9, 1], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[
-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152],
[3, 3], [0, 0]]]], [[1, 21, 4, 9, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1
, u^2-v^2 < y, z = z], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [17, 17],
[0, 0]]]], [[2, 1, 7, 1, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), y < -u^2
-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [1/2, 1/2], [-10, -10], [-5, -5]]]], [[2, 1, 7, 1, 2], [v = -2^(1/2)
, u < -2, And(0 < x,x < 1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-10, -10], [-\
3231929/1048576, -403991/131072]]]], [[2, 1, 7, 1, 3], [v = -2^(1/2), u < -2,
And(0 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-10
, -10], [0, 0]]]], [[2, 1, 7, 1, 4], [v = -2^(1/2), u < -2, And(0 < x,x < 1),
y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [1/2, 1/2], [-10, -10], [403991/131072, 3231929/1048576]]]]
, [[2, 1, 7, 1, 5], [v = -2^(1/2), u < -2, And(0 < x,x < 1), y < -u^2-x+1, (-x
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[1/2, 1/2], [-10, -10], [5, 5]]]], [[2, 10, 5, 9, 1], [v = -2^(1/2), u = 0, 
And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-1/2, -1/2], [3, 3], [0, 0]]]], [[2, 11, 10, 3, 1], [
v = -2^(1/2), And(0 < u,u < 1), x = 1, And(u^2-4 < y,y < -1), z < -(-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [
-19/8, -19/8], [-3, -3]]]], [[2, 11, 10, 3, 2], [v = -2^(1/2), And(0 < u,u < 1
), x = 1, And(u^2-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [-19/8, -19/8], [-\
1229565/1048576, -307391/262144]]]], [[2, 11, 10, 3, 3], [v = -2^(1/2), And(0
< u,u < 1), x = 1, And(u^2-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1],
[-19/8, -19/8], [0, 0]]]], [[2, 11, 10, 3, 4], [v = -2^(1/2), And(0 < u,u < 1)
, x = 1, And(u^2-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [1, 1], [-19/8, -19/8], [307391/262144,
1229565/1048576]]]], [[2, 11, 10, 3, 5], [v = -2^(1/2), And(0 < u,u < 1), x =
1, And(u^2-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [1, 1], [-19/8, -19/8], [3, 3]]]], [[2,
16, 4, 5, 1], [v = -2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288,
1816187/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[2, 16, 4, 5, 2], [v = -
2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[2, 
16, 4, 5, 3], [v = -2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)
^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[
2, 16, 4, 5, 4], [v = -2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), z = (1-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288
, 1816187/1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[
2, 16, 4, 5, 5], [v = -2^(1/2), u = 3^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288
, 1816187/1048576], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 17, 9, 9, 1], [v = -
2^(1/2), And(3^(1/2) < u,u < 2), And(u^2-3 < x,x < 1), 0 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [388511/524288, 388511/524288], [1, 1], [0, 0]]]], [[3, 4, 5, 2, 1],
[And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z
< -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[3, 4, 5,
2, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -
x-2, z = -2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1/2, -1/2], [-3/2, -3/2], [-1482911/
1048576, -741455/524288]]]], [[3, 4, 5, 2, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[3, 4, 5, 2, 4], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z =
2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911
/1048576]]]], [[3, 4, 5, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3/2, -3
/2], [3, 3]]]], [[3, 5, 10, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/
2) < u,u < v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
1, 1], [-3213831/2097152, -1606915/1048576], [-2, -2]]]], [[3, 5, 10, 4, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-5818805/4194304, -5818805/4194304], [1, 1], [-3213831/2097152, -1606915/
1048576], [-1530309/2097152, -382577/524288]]]], [[3, 5, 10, 4, 3], [And(-2^(1
/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, And(-(-u
^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-\
3213831/2097152, -1606915/1048576], [0, 0]]]], [[3, 5, 10, 4, 4], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, z = (-u^2+
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1, 1], [-3213831/2097152, -1606915/
1048576], [382577/524288, 765155/1048576]]]], [[3, 5, 10, 4, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1, 1], [-3213831/2097152, -1606915/1048576], [2,
2]]]], [[3, 10, 4, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1
, y = 1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[3, 10, 4, 6,
2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [1, 1], [0, 0]]]], [[3, 10, 4, 6, 3], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [1, 1],
[1, 1]]]], [[3, 11, 10, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = 1, y < u^2-v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[-4, -4], [-3, -3]]]], [[3, 11, 10, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), x = 1, y < u^2-v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[3, 11,
10, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y
< u^2-v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[-4, -4], [-1/4194304, -1/4194304]]]], [[3, 11, 10, 1, 4], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y < u^2-v^2-2, z = (-y-1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[3, 11, 10,
1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y < u^
2-v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [987341/1048576, 987341/1048576], [1, 1], [-4, -4], [3, 3]]]], [[3,
15, 5, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [1/2, 1/2], [-\
1, -1]]]], [[3, 15, 5, 6, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/
2], [1/2, 1/2], [0, 0]]]], [[3, 15, 5, 6, 3], [And(-2^(1/2) < v,v < -1), And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 16, 7, 7, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[4, 3, 7, 2, 1], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, z < u], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-5687723/2097152, -2843861/1048576], [-3, -3]]]], [
[4, 3, 7, 2, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2)
, y = -u^2-x, z = u], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-5687723/2097152, -2843861/
1048576], [-1649549/1048576, -3299097/2097152]]]], [[4, 3, 7, 2, 3], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, And(u < z,z
< -u)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
248903/1048576, 248903/1048576], [-5687723/2097152, -2843861/1048576], [-1/
4194304, -1/4194304]]]], [[4, 3, 7, 2, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1
/2)), And(0 < x,x < u^2-2), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-\
5687723/2097152, -2843861/1048576], [412387/262144, 1649549/1048576]]]], [[4,
3, 7, 2, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y
= -u^2-x, -u < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-5687723/2097152, -2843861/
1048576], [3, 3]]]], [[4, 5, 2, 1, 1], [v = -1, And(-2^(1/2) < u,u < -1), x =
-u^2, y < 0, z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576
, -1265743/1048576], [-1527887/1048576, -763943/524288], [-1, -1], [-3, -3]]]]
, [[4, 5, 2, 1, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y < 0, z = -(
u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [-1527887/1048576, -763943/524288], [-1, -1], [-410915/262144, -3287319/
2097152]]]], [[4, 5, 2, 1, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y
< 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [-1, -\
1], [-1/4194304, -1/4194304]]]], [[4, 5, 2, 1, 4], [v = -1, And(-2^(1/2) < u,u
< -1), x = -u^2, y < 0, z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [-1, -\
1], [1643659/1048576, 410915/262144]]]], [[4, 5, 2, 1, 5], [v = -1, And(-2^(1/
2) < u,u < -1), x = -u^2, y < 0, (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [-\
1, -1], [3, 3]]]], [[4, 11, 7, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2
-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152]
, [-35579/262144, -35579/262144], [-2, -2]]]], [[4, 11, 7, 5, 2], [v = -1, And
(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z = -(-x-y)
^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
569265/2097152, -569265/2097152], [-35579/262144, -35579/262144], [-669095/
1048576, -1338189/2097152]]]], [[4, 11, 7, 5, 3], [v = -1, And(1 < u,u < 2^(1/
2)), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-569265/2097152, -569265/2097152], [-35579/262144, -35579/262144], [-1/
4194304, -1/4194304]]]], [[4, 11, 7, 5, 4], [v = -1, And(1 < u,u < 2^(1/2)), 
And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [-35579/262144, -35579/262144], [334547/524288, 669095/
1048576]]]], [[4, 11, 7, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x
,x < 0), And(u^2-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-\
35579/262144, -35579/262144], [2, 2]]]], [[4, 13, 2, 4, 1], [v = -1, And(2^(1/
2) < u,u < 3^(1/2)), x = -u^2, y = u^2, z < 0], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
2594957/1048576, 1297479/524288], [-1, -1]]]], [[4, 13, 2, 4, 2], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = u^2, z = 0], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
2594957/1048576, 1297479/524288], [0, 0]]]], [[4, 13, 2, 4, 3], [v = -1, And(2
^(1/2) < u,u < 3^(1/2)), x = -u^2, y = u^2, 0 < z], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
2594957/1048576, 1297479/524288], [1, 1]]]], [[5, 1, 10, 6, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[-1/2
, -1/2], [-3, -3], [31/4, 31/4], [0, 0], [0, 0]]]], [[5, 3, 3, 9, 1], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [-1815885/1048576, -1815885/1048576], [4, 4], [0, 0]]]], [[5,
12, 6, 2, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, y = -3, z < -3^(1/
2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-3, -3], [-3, -3]]]],
[[5, 12, 6, 2, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, y = -3, z = -
3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-3, -3], [-\
1816187/1048576, -3632373/2097152]]]], [[5, 12, 6, 2, 3], [And(-1 < v,v < 0),
u = (v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-3, -3], [-1/4194304, -1/
4194304]]]], [[5, 12, 6, 2, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0,
y = -3, z = 3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-3,
-3], [908093/524288, 1816187/1048576]]]], [[5, 12, 6, 2, 5], [And(-1 < v,v < 0
), u = (v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [3/2, 3/2], [0, 0], [-3, -3], [3, 3]]]], [[5, 13, 10, 3, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1),
z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4
], [-101/8, -101/8], [-4, -4]]]], [[5, 13, 10, 3, 2], [And(-1 < v,v < 0), (v^2
+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2
+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-101/8
, -101/8], [-1157597/524288, -2315193/1048576]]]], [[5, 13, 10, 3, 3], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^
2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain
, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-101/8, -101/8], [0, 0]]]], [[5, 13, 
10, 3, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-2*u^2+2*
v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [3, 3], [31/4, 31/4], [-101/8, -101/8], [2315193/1048576, 1157597/524288]
]]], [[5, 13, 10, 3, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1,
And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-101/8, -101/8], [4, 4]]]
], [[6, 4, 9, 5, 1], [v = 0, u = -1, 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [-1, -1], [0, 0]]]], [[6, 6, 3, 3, 1
], [v = 0, u = 0, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]], [[6,
6, 3, 3, 2], [v = 0, u = 0, And(-1 < x,x < 0), And(-1-x < y,y < 0), z = -(-x-y
)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [-\
1816187/2097152, -3632373/4194304]]]], [[6, 6, 3, 3, 3], [v = 0, u = 0, And(-1
< x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [-1/8388608, -1/
8388608]]]], [[6, 6, 3, 3, 4], [v = 0, u = 0, And(-1 < x,x < 0), And(-1-x < y,
y < 0), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-1/
4, -1/4], [908093/1048576, 454047/524288]]]], [[6, 6, 3, 3, 5], [v = 0, u = 0,
And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0
, 0], [0, 0], [-1/2, -1/2], [-1/4, -1/4], [2, 2]]]], [[7, 1, 4, 5, 1], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[7,
1, 4, 5, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1),
z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [1/2, 1/2]
, [-1482911/2097152, -741455/1048576]]]], [[7, 1, 4, 5, 3], [And(0 < v,v < 1),
u < -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [1/2, 1/2], [0, 0]]]]
, [[7, 1, 4, 5, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(0 < y,y
< 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[7, 1, 4, 5, 5], [And(0 < v,v < 1), u
< -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[1/2, 1/2], [-3, -3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[7, 2, 6, 4, 1], [And
(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[1/2
, 1/2], [-3/2, -3/2], [0, 0], [0, 0], [-1, -1]]]], [[7, 2, 6, 4, 2], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[1/2, 1/2
], [-3/2, -3/2], [0, 0], [0, 0], [0, 0]]]], [[7, 2, 6, 4, 3], [And(0 < v,v < 1
), u = -(v^2+2)^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [0, 0], [0, 0], [1, 1]]]], [[7, 7, 2, 4, 1], [And(0 < v,v < 1), And(
-v < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [1/2, 1/2], [-2, -2]]]], [[7
, 7, 2, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, y = -2*u^2
+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -\
5/4], [1/2, 1/2], [-1816187/2097152, -3632373/4194304]]]], [[7, 7, 2, 4, 3], [
And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0
], [-5/4, -5/4], [1/2, 1/2], [-1/8388608, -1/8388608]]]], [[7, 7, 2, 4, 4], [
And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [1/2, 1/2],
[908093/1048576, 454047/524288]]]], [[7, 7, 2, 4, 5], [And(0 < v,v < 1), And(-
v < u,u < v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [1/2, 1/2], [2, 2]]]], [[7,
8, 5, 6, 1], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), y = 0, z = z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [0, 0], [0, 0]]]], [[7, 11
, 11, 1, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [2, 2], [-6, -6], [-3, -3]]]], [[7, 11, 11, 1, 2], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^
2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151
/262144], [2, 2], [-6, -6], [-2, -2]]]], [[7, 11, 11, 1, 3], [And(0 < v,v < 1)
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [2, 2], [-6, -6], [0, 0]]]], [[7, 11, 11, 1, 4], [And(0 < v,v
< 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2,
2], [-6, -6], [2, 2]]]], [[7, 11, 11, 1, 5], [And(0 < v,v < 1), And((v^2+1)^(1
/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [-6, -6],
[3, 3]]]], [[7, 13, 4, 6, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y
= 1, z < 0], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [1, 1], [-1, -1]]]
], [[7, 13, 4, 6, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = 1, z =
0], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [1, 1], [0, 0]]]], [[7, 13,
4, 6, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = 1, 0 < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [1, 1], [1, 1]]]], [[8, 4, 1, 2,
1], [v = 1, u = -2^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [[1
, 1], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-3, -3]]]], [[8,
4, 1, 2, 2], [v = 1, u = -2^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0],
[-1816187/1048576, -3632373/2097152]]]], [[8, 4, 1, 2, 3], [v = 1, u = -2^(1/2
), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1
], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[8, 4, 1, 2, 4], [v = 1, u = -2^(1/2), x < -2, y = 0, z = (-x)^(
1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3],
[0, 0], [908093/524288, 1816187/1048576]]]], [[8, 4, 1, 2, 5], [v = 1, u = -2^
(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-3, -3], [0, 0], [3, 3]]]], [[8, 5, 7, 7, 1], [v =
1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(0 < y,y < -x), z < -(-x
-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [35579/262144, 35579/262144], [-2, -2]]]], [
[8, 5, 7, 7, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [35579/262144, 35579/
262144], [-386303/1048576, -193151/524288]]]], [[8, 5, 7, 7, 3], [v = 1, And(-
2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743
/1048576], [-569265/2097152, -569265/2097152], [35579/262144, 35579/262144], [
0, 0]]]], [[8, 5, 7, 7, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x
< 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743
/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [35579/262144
, 35579/262144], [193151/524288, 386303/1048576]]]], [[8, 5, 7, 7, 5], [v = 1,
And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2
) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-\
569265/2097152, -569265/2097152], [35579/262144, 35579/262144], [2, 2]]]], [[8
, 12, 1, 7, 1], [v = 1, u = 2^(1/2), x < -2, -x < y, z = z], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [4, 4], [0, 0]]]], [[8, 13
, 8, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(-2*u^2+2 < y,
y < -u^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152
, 3299097/2097152], [497805/1048576, 248903/524288], [-57449107/33554432, -\
57449107/33554432], [-3, -3]]]], [[8, 13, 8, 3, 2], [v = 1, And(2^(1/2) < u,u
< 3^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/1048576, 
248903/524288], [-57449107/33554432, -57449107/33554432], [-145801/131072, -\
1166407/1048576]]]], [[8, 13, 8, 3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = u^2-2, And(-2*u^2+2 < y,y < -u^2+2), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y
+2)^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
497805/1048576, 248903/524288], [-57449107/33554432, -57449107/33554432], [0,
0]]]], [[8, 13, 8, 3, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And
(-2*u^2+2 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-57449107
/33554432, -57449107/33554432], [1166407/1048576, 145801/131072]]]], [[8, 13,
8, 3, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y
< -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [497805/1048576, 248903/524288], [-57449107/33554432, -\
57449107/33554432], [3, 3]]]], [[9, 2, 4, 8, 1], [And(1 < v,v < 2^(1/2)), u =
-(v^2+2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [2, 2], [0,
0]]]], [[9, 3, 9, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [-136653/524288, -273305/
1048576], [0, 0]]]], [[9, 13, 4, 6, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1,
-1], [490235/1048576, 122559/262144], [-2, -2]]]], [[9, 13, 4, 6, 2], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = -(-u^2+
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [490235/1048576, 122559/262144], [-765155
/1048576, -1530309/2097152]]]], [[9, 13, 4, 6, 3], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z
,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-1, -1], [490235/1048576, 122559/262144
], [-1/4194304, -1/4194304]]]], [[9, 13, 4, 6, 4], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [490235/1048576, 122559/262144], [382577/524288, 765155/
1048576]]]], [[9, 13, 4, 6, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1
], [490235/1048576, 122559/262144], [2, 2]]]], [[9, 14, 8, 7, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[1265743
/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [1, 1],
[0, 0]]]], [[10, 1, 7, 7, 1], [v = 2^(1/2), u < -2, And(0 < x,x < 1), And(0 <
y,y < u^2-x-3), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3
, -3], [1/2, 1/2], [11/4, 11/4], [0, 0]]]], [[10, 3, 1, 3, 1], [v = 2^(1/2), 
And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [397921/524288, 397921/524288], [-3, -3]]]], [[10,
3, 1, 3, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(0 < y,y <
-u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [397921/524288, 
397921/524288], [-7550943/4194304, -3775471/2097152]]]], [[10, 3, 1, 3, 3], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [397921/524288, 
397921/524288], [-1/4194304, -1/4194304]]]], [[10, 3, 1, 3, 4], [v = 2^(1/2),
And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [397921/524288, 397921/524288], [1887735/1048576,
235967/131072]]]], [[10, 3, 1, 3, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4
], [397921/524288, 397921/524288], [3, 3]]]], [[10, 9, 4, 7, 1], [v = 2^(1/2),
And(-1 < u,u < 0), x = -1, And(1 < y,y < -u^2+2), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [11/8, 11/8], [0, 0]]
]], [[10, 10, 7, 3, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), And(-x-3 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[10, 10, 7, 3, 2], [v = 2^(1/2), u
= 0, And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-2, -2]
, [-1284239/1048576, -642119/524288]]]], [[10, 10, 7, 3, 3], [v = 2^(1/2), u =
0, And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2],
[-2, -2], [0, 0]]]], [[10, 10, 7, 3, 4], [v = 2^(1/2), u = 0, And(0 < x,x < 1)
, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/
1048576]]]], [[10, 10, 7, 3, 5], [v = 2^(1/2), u = 0, And(0 < x,x < 1), And(-x
-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [1/2, 1/2], [-2, -2], [3, 3]]]], [[10, 15, 2, 4, 1], [v = 2^
(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [995611/1048576, 248903/262144],
[-2, -2]]]], [[10, 15, 2, 4, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^
2+1, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -\
1546381/1048576], [995611/1048576, 248903/262144], [-1519901/2097152, -379975/
524288]]]], [[10, 15, 2, 4, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2
+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-\
773191/524288, -1546381/1048576], [995611/1048576, 248903/262144], [0, 0]]]],
[[10, 15, 2, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y = 2*u^
2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [995611
/1048576, 248903/262144], [379975/524288, 759951/1048576]]]], [[10, 15, 2, 4,
5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152,
3299097/2097152], [-773191/524288, -1546381/1048576], [995611/1048576, 248903/
262144], [2, 2]]]], [[10, 16, 6, 1, 1], [v = 2^(1/2), u = 3^(1/2), x = 0, y <
-2, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[10, 16, 6, 1
, 2], [v = 2^(1/2), u = 3^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[10, 16,
6, 1, 3], [v = 2^(1/2), u = 3^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-
y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[10, 16, 6,
1, 4], [v = 2^(1/2), u = 3^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[10, 16, 6,
1, 5], [v = 2^(1/2), u = 3^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [-3, -3], [3, 3]]]], [[10, 19, 7, 7, 1], [v = 2^(1/2), 2 < u
, And(0 < x,x < 1), And(0 < y,y < u^2-x-3), z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [1/2, 1/2], [11/4, 11/4], [0, 0]]]], [[11, 1
, 10, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2
, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [15, 15], [-\
33, -33], [-6, -6]]]], [[11, 1, 10, 1, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), x
= u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3
, 3], [-5, -5], [15, 15], [-33, -33], [-1112183/262144, -4448731/1048576]]]],
[[11, 1, 10, 1, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^
2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [15, 15], [-33, -33], [0, 0]]]], [[11, 1, 10
, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z
= (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [15, 15], [-33, -\
33], [4448731/1048576, 1112183/262144]]]], [[11, 1, 10, 1, 5], [2^(1/2) < v, u
< -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z],
[regular_chain, [[3, 3], [-5, -5], [15, 15], [-33, -33], [6, 6]]]], [[11, 5, 
11, 1, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x
-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [2, 2], [-5, -5], [-3, -3]]]], [[11, 5, 11, 1, 2], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 5, 11, 1, 3], [2^(1/2) < v, And(-
(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2,
2], [-5, -5], [-1/4194304, -1/4194304]]]], [[11, 5, 11, 1, 4], [2^(1/2) < v, 
And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-5, -5], [
908093/524288, 1816187/1048576]]]], [[11, 5, 11, 1, 5], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-5, -5], [3
, 3]]]], [[11, 7, 8, 2, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x =
0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549
/2097152, -6111549/2097152], [0, 0], [-3161161/2097152, -395145/262144], [-3,
-3]]]], [[11, 7, 8, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0
, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [0, 0], [-3161161/2097152, -395145/262144], [-\
1287385/1048576, -160923/131072]]]], [[11, 7, 8, 2, 3], [2^(1/2) < v, And(-v <
u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (
-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [0, 0], [-3161161/2097152, -395145/262144], [0, 0]]]], [[11, 7, 8, 2
, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [0, 0], [-3161161/2097152, -395145/262144], [160923/131072, 1287385/
1048576]]]], [[11, 7, 8, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [0, 0], [-3161161/2097152, -395145/262144]
, [3, 3]]]], [[11, 13, 5, 8, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = z], [regular_chain, [[3, 3
], [1435023/524288, 1435023/524288], [-1/2, -1/2], [264331/262144, 1057325/
1048576], [0, 0]]]], [[11, 15, 1, 4, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [1565147/1048576, 
391287/262144], [-3, -3]]]], [[11, 15, 1, 4, 2], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [1565147
/1048576, 391287/262144], [-1287385/1048576, -160923/131072]]]], [[11, 15, 1,
4, 3], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = u^2-v^2-
x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3
, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [1565147/1048576, 391287/
262144], [0, 0]]]], [[11, 15, 1, 4, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u
< v), x < u^2-v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [1565147/1048576, 
391287/262144], [160923/131072, 1287385/1048576]]]], [[11, 15, 1, 4, 5], [2^(1
/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152],
[-3, -3], [1565147/1048576, 391287/262144], [3, 3]]]], [[11, 19, 5, 7, 1], [2^
(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-x
< y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [391655/524288, 391655/524288], [0, 0]]]], [[
11, 20, 8, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1),
z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288]
, [1, 1], [-5/2, -5/2], [-3, -3]]]], [[11, 20, 8, 3, 2], [2^(1/2) < v, u = (v^
2+2)^(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3
, 3], [3477733/1048576, 1738867/524288], [1, 1], [-5/2, -5/2], [-1284239/
1048576, -642119/524288]]]], [[11, 20, 8, 3, 3], [2^(1/2) < v, u = (v^2+2)^(1/
2), x = 1, And(-4 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-5/2, -5/2
], [0, 0]]]], [[11, 20, 8, 3, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, And(
-4 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [1, 1], [-5/2, -5/2], [642119/524288, 1284239/1048576]]]], [[
11, 20, 8, 3, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, And(-4 < y,y < -1),
(-y-1)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[1, 1], [-5/2, -5/2], [3, 3]]]], [[1, 5, 4, 2, 1], [v < -2^(1/2), And(-(v^2+1)
^(1/2) < u,u < v), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [-64673/
131072, -517383/1048576], [-3, -3]]]], [[1, 5, 4, 2, 2], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [-64673/
131072, -517383/1048576], [-1281417/1048576, -160177/131072]]]], [[1, 5, 4, 2,
3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = -u^2+v^2, And(-(
u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1, -1], [-64673/131072, -517383/1048576], [0
, 0]]]], [[1, 5, 4, 2, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -\
1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1, -1], [-64673/131072, -517383/1048576], [160177/
131072, 1281417/1048576]]]], [[1, 5, 4, 2, 5], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [
[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [-64673/131072, -517383/
1048576], [3, 3]]]], [[1, 6, 7, 6, 1], [v < -2^(1/2), u = v, 1 < x, y = 0, z =
z], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [0, 0], [0, 0]]]], [[1, 11, 1
, 8, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2
-1, y = -u^2+v^2-x-1, z = z], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [
19, 19], [0, 0]]]], [[1, 12, 3, 9, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-\
3 < x,x < -1), 1-x < y, z = z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-2, -2], [4, 4], [0, 0]]]], [[1, 18, 7, 4, 1], [v < -2^(1/2), u
= (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[1, 
18, 7, 4, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z =
0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-\
1/2, -1/2], [0, 0]]]], [[1, 18, 7, 4, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), 
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[1, 19, 11, 9, 1], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, 0 < y, z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [1, 1],
[0, 0]]]], [[2, 2, 9, 2, 1], [v = -2^(1/2), u = -2, 1 < x, y = -x-3, z < -3^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [
-5, -5], [-3, -3]]]], [[2, 2, 9, 2, 2], [v = -2^(1/2), u = -2, 1 < x, y = -x-3
, z = -3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2]
, [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[2, 2, 9, 2, 3],
[v = -2^(1/2), u = -2, 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-5, -5]
, [-1/4194304, -1/4194304]]]], [[2, 2, 9, 2, 4], [v = -2^(1/2), u = -2, 1 < x,
y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-2, -2], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[2, 2, 9, 2,
5], [v = -2^(1/2), u = -2, 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-5, -5], [3, 3]]]], [[2,
4, 2, 3, 1], [v = -2^(1/2), u = -3^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-2, -2], [1, 1], [-2, -2]]]], [[2, 4, 2, 3, 2], [
v = -2^(1/2), u = -3^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [1, 1], [-1, -1]]]], [[2, 4, 2, 3, 3], [v = -2^(1/
2), u = -3^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [-2, -2], [1, 1], [0, 0]]]], [[2, 4, 2, 3, 4], [v = -2^(1/2
), u = -3^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2,
-2], [1, 1], [1, 1]]]], [[2, 4, 2, 3, 5], [v = -2^(1/2), u = -3^(1/2), x = -2,
And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [1, 1], [2, 2]
]]], [[2, 7, 9, 2, 1], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y =
u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1071065/524288, -\
2142129/1048576], [-3, -3]]]], [[2, 7, 9, 2, 2], [v = -2^(1/2), And(v < u,u <
-1), And(0 < x,x < 1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-1071065/524288, -2142129/1048576], [-1302471/1048576, -651235/524288]]
]], [[2, 7, 9, 2, 3], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y =
u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-1071065/524288, -2142129/1048576], [0, 0]]]], [[2, 7, 9, 2, 4], [v = -
2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1071065/524288, -2142129/1048576], [651235/
524288, 1302471/1048576]]]], [[2, 7, 9, 2, 5], [v = -2^(1/2), And(v < u,u < -1
), And(0 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-1071065/524288, -2142129/1048576], [3, 3]]]], [[2, 9, 4, 1, 1], [v = -
2^(1/2), And(-1 < u,u < 0), x = -1, y < u^2-2, z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [-\
3, -3], [-3, -3]]]], [[2, 9, 4, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = -\
1, y < u^2-2, z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-1, -1], [-3, -3], [-2, -2]]]], [[2, 9, 4, 1, 3], [v =
-2^(1/2), And(-1 < u,u < 0), x = -1, y < u^2-2, And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [
-1, -1], [-3, -3], [0, 0]]]], [[2, 9, 4, 1, 4], [v = -2^(1/2), And(-1 < u,u <
0), x = -1, y < u^2-2, z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [-3, -3], [2, 2]]]], [[2, 9, 4, 1, 5],
[v = -2^(1/2), And(-1 < u,u < 0), x = -1, y < u^2-2, (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [-\
3, -3], [3, 3]]]], [[2, 13, 5, 1, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1
< x,x < -u^2+1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [-2, -2], [-3, -3]]]], [[2, 13, 5, 1, 2], [v = -2^
(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y < u^2-x-3, z = -(-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [-1732073/
1048576, -3464145/2097152]]]], [[2, 13, 5, 1, 3], [v = -2^(1/2), And(1 < u,u <
-v), And(-1 < x,x < -u^2+1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-1527887/2097152, -1527887/2097152], [-2, -2], [-1/4194304,
-1/4194304]]]], [[2, 13, 5, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 <
x,x < -u^2+1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [-2, -2], [216509/131072, 1732073/1048576]]]], [[2
, 13, 5, 1, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y <
u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
-2, -2], [3, 3]]]], [[2, 15, 1, 7, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
x < -u^2+1, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3]
, [2870343/1048576, 2870343/1048576], [-2, -2]]]], [[2, 15, 1, 7, 2], [v = -2^
(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(u^2-x-3 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3, -3], [2870343/1048576, 2870343/1048576], [-\
268683/524288, -1074731/2097152]]]], [[2, 15, 1, 7, 3], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x < -u^2+1, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [2870343/1048576, 2870343/1048576
], [-1/4194304, -1/4194304]]]], [[2, 15, 1, 7, 4], [v = -2^(1/2), And(-v < u,u
< 3^(1/2)), x < -u^2+1, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [2870343/1048576, 2870343/1048576], [537365/1048576, 
268683/524288]]]], [[2, 15, 1, 7, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
x < -u^2+1, And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3]
, [2870343/1048576, 2870343/1048576], [2, 2]]]], [[3, 1, 9, 1, 1], [And(-2^(1/
2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1
, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3, -3], [7909297/2097152, 7909297/2097152], [-14, -14], [-5, -5]]]], [[3, 1,
9, 1, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2
-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-14, -14], [
-104799/32768, -3353567/1048576]]]], [[3, 1, 9, 1, 3], [And(-2^(1/2) < v,v < -\
1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-14, -14], [0, 0]]]],
[[3, 1, 9, 1, 4], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [7909297/2097152, 7909297/2097152], [-14
, -14], [3353567/1048576, 104799/32768]]]], [[3, 1, 9, 1, 5], [And(-2^(1/2) <
v,v < -1), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x
-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3
], [7909297/2097152, 7909297/2097152], [-14, -14], [5, 5]]]], [[3, 3, 2, 2, 1]
, [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -
u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -\
2599117/1048576], [0, 0], [-3, -3]]]], [[3, 3, 2, 2, 2], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [0,
0], [-3301741/2097152, -825435/524288]]]], [[3, 3, 2, 2, 3], [And(-2^(1/2) < v
,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559
/524288, -2599117/1048576], [0, 0], [0, 0]]]], [[3, 3, 2, 2, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0
, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576]
, [0, 0], [825435/524288, 1650871/1048576]]]], [[3, 3, 2, 2, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0
, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576]
, [0, 0], [3, 3]]]], [[3, 7, 6, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [2, 2], [0, 0]]]], [[3, 9, 1, 8, 1], [And(-2^
(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y
= -u^2+v^2-x-1, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [-4, -4], [2336807/524288, 4673615/1048576], [0, 0]]]], [[3, 17, 11, 8
, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = 0, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [0,
0], [0, 0]]]], [[4, 2, 2, 7, 1], [v = -1, u = -3^(1/2), x = -3, 4 < y, z = z],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [5,
5], [0, 0]]]], [[4, 6, 5, 3, 1], [v = -1, u = -1, And(0 < x,x < 1), And(-1-x <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2]
, [-1, -1], [-2, -2]]]], [[4, 6, 5, 3, 2], [v = -1, u = -1, And(0 < x,x < 1),
And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1],
[1/2, 1/2], [-1, -1], [-1482911/2097152, -741455/1048576]]]], [[4, 6, 5, 3, 3]
, [v = -1, u = -1, And(0 < x,x < 1), And(-1-x < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-1, -1
], [0, 0]]]], [[4, 6, 5, 3, 4], [v = -1, u = -1, And(0 < x,x < 1), And(-1-x <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2],
[-1, -1], [741455/1048576, 46341/65536]]]], [[4, 6, 5, 3, 5], [v = -1, u = -1,
And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1, -1], [-1, -1], [1/2, 1/2], [-1, -1], [2, 2]]]], [[4, 7, 11, 8, 1], [v = -1,
And(-1 < u,u < 0), 1 < x, y = 0, z = z], [regular_chain, [[-1, -1], [-1/2, -1/
2], [2, 2], [0, 0], [0, 0]]]], [[4, 14, 4, 5, 1], [v = -1, u = 3^(1/2), x = -1
, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[4, 14, 4, 5, 2]
, [v = -1, u = 3^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/
2], [-1482911/2097152, -741455/1048576]]]], [[4, 14, 4, 5, 3], [v = -1, u = 3^
(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/
2], [0, 0]]]], [[4, 14, 4, 5, 4], [v = -1, u = 3^(1/2), x = -1, And(0 < y,y <
1), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[4, 14, 4,
5, 5], [v = -1, u = 3^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [1/2, 1/
2], [2, 2]]]], [[4, 15, 8, 6, 1], [v = -1, 3^(1/2) < u, x = 1, y = 0, z = z],
[regular_chain, [[-1, -1], [3, 3], [1, 1], [0, 0], [0, 0]]]], [[5, 4, 7, 4, 1]
, [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[-1/2, -1/2], [-1, -1]]]], [[5, 4, 7, 4, 2], [And(-1 < v,v < 0), u = -(v^2+1)^
(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[5, 4,
7, 4, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, 0
< z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2,
1/2], [-1/2, -1/2], [1, 1]]]], [[5, 5, 11, 9, 1], [And(-1 < v,v < 0), And(-(v^
2+1)^(1/2) < u,u < v), 1 < x, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-\
1696631/2097152, -1696631/2097152], [2, 2], [1, 1], [0, 0]]]], [[5, 9, 9, 4, 1
], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^
2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [-2
, -2]]]], [[5, 9, 9, 4, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)),
And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-1148707/
1048576, -574353/524288], [-1618333/2097152, -3236665/4194304]]]], [[5, 9, 9,
4, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y
= u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2],
[-1148707/1048576, -574353/524288], [-1/8388608, -1/8388608]]]], [[5, 9, 9, 4,
4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u
^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [1/2, 1/2], [-1148707/1048576, -574353/524288], [
404583/524288, 809167/1048576]]]], [[5, 9, 9, 4, 5], [And(-1 < v,v < 0), And(-
v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/
2, 1/2], [-1148707/1048576, -574353/524288], [2, 2]]]], [[5, 11, 4, 3, 1], [
And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+
v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [-3, -3]
]]], [[5, 11, 4, 3, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[
-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [-767309/1048576, -\
767309/1048576], [-1379889/1048576, -86243/65536]]]], [[5, 11, 4, 3, 3], [And(
-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2
< y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [-1, -1], [-767309/1048576, -767309/
1048576], [0, 0]]]], [[5, 11, 4, 3, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [-\
767309/1048576, -767309/1048576], [86243/65536, 1379889/1048576]]]], [[5, 11,
4, 3, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1
, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [
3, 3]]]], [[6, 2, 1, 5, 1], [v = 0, u = -2^(1/2), x < -3, And(-x-3 < y,y < -x)
, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-4, -4], [5/2, 5/2], [-3, -3]]]], [[6, 2, 1, 5, 2], [v = 0, u = -2^(
1/2), x < -3, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0
], [-1482911/1048576, -741455/524288], [-4, -4], [5/2, 5/2], [-1284239/1048576
, -642119/524288]]]], [[6, 2, 1, 5, 3], [v = 0, u = -2^(1/2), x < -3, And(-x-3
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0]
, [-1482911/1048576, -741455/524288], [-4, -4], [5/2, 5/2], [0, 0]]]], [[6, 2,
1, 5, 4], [v = 0, u = -2^(1/2), x < -3, And(-x-3 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [5/2
, 5/2], [642119/524288, 1284239/1048576]]]], [[6, 2, 1, 5, 5], [v = 0, u = -2^
(1/2), x < -3, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0
], [-1482911/1048576, -741455/524288], [-4, -4], [5/2, 5/2], [3, 3]]]], [[6, 3
, 5, 6, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y = -x, z < 0
], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2]
, [1/2, 1/2], [-1, -1]]]], [[6, 3, 5, 6, 2], [v = 0, And(-2^(1/2) < u,u < -1),
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[0, 0], [-1265743/1048576,
-1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[6, 3, 5, 6, 3], [v =
0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain
, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/2, 1/2], [1,
1]]]], [[6, 9, 9, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1),
And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [1527887/2097152, 1527887/2097152], [-2097153/4194304, -\
2097153/4194304], [0, 0]]]], [[6, 11, 2, 4, 1], [v = 0, 2^(1/2) < u, x = -u^2-\
1, y = u^2+1, z < 0], [regular_chain, [[0, 0], [3, 3], [-10, -10], [10, 10], [
-1, -1]]]], [[6, 11, 2, 4, 2], [v = 0, 2^(1/2) < u, x = -u^2-1, y = u^2+1, z =
0], [regular_chain, [[0, 0], [3, 3], [-10, -10], [10, 10], [0, 0]]]], [[6, 11,
2, 4, 3], [v = 0, 2^(1/2) < u, x = -u^2-1, y = u^2+1, 0 < z], [regular_chain,
[[0, 0], [3, 3], [-10, -10], [10, 10], [1, 1]]]], [[7, 3, 10, 8, 1], [And(0 <
v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = 0, z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [0, 0],
[0, 0]]]], [[7, 5, 5, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [1/2, 1/2], [-2, -2]]]], [[7, 5, 5, 7, 2], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2
-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [1/2
, 1/2], [-1144335/2097152, -572167/1048576]]]], [[7, 5, 5, 7, 3], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x
-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/
2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [1/2, 1/2], [0, 0]]]], [[7, 5, 5, 7, 4], [And(0 < v,v < 1), And(-(v^
2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x)
, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [1/2, 1/2], [572167/1048576, 
71521/131072]]]], [[7, 5, 5, 7, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,
u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [1/2, 1/2], [2, 2]]]], [[8, 1, 6, 1, 1], [
v = 1, u < -3^(1/2), x = 0, y < -u^2, z < -(-y)^(1/2)], [regular_chain, [[1, 1
], [-3, -3], [0, 0], [-10, -10], [-5, -5]]]], [[8, 1, 6, 1, 2], [v = 1, u < -3
^(1/2), x = 0, y < -u^2, z = -(-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3],
[0, 0], [-10, -10], [-3315889/1048576, -207243/65536]]]], [[8, 1, 6, 1, 3], [v
= 1, u < -3^(1/2), x = 0, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [0, 0], [-10, -10], [0, 0]]]], [[8, 1, 6, 1,
4], [v = 1, u < -3^(1/2), x = 0, y < -u^2, z = (-y)^(1/2)], [regular_chain, [[
1, 1], [-3, -3], [0, 0], [-10, -10], [207243/65536, 3315889/1048576]]]], [[8,
1, 6, 1, 5], [v = 1, u < -3^(1/2), x = 0, y < -u^2, (-y)^(1/2) < z], [
regular_chain, [[1, 1], [-3, -3], [0, 0], [-10, -10], [5, 5]]]], [[8, 2, 8, 6,
1], [v = 1, u = -3^(1/2), x = 1, y = 0, z = z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [1, 1], [0, 0], [0, 0]]]], [[8, 7, 3, 9, 1
], [v = 1, And(-1 < u,u < 0), And(u^2-2 < x,x < -1), -x < y, z = z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-11/8, -11/8], [3, 3], [0, 0]]]], [[8,
8, 8, 1, 1], [v = 1, u = 0, x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain,
[[1, 1], [0, 0], [1, 1], [-4, -4], [-3, -3]]]], [[8, 8, 8, 1, 2], [v = 1, u =
0, x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1], [0, 0], [1, 1],
[-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[8, 8, 8, 1, 3], [v = 1, u
= 0, x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[1, 1], [0, 0], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[8, 8, 8, 1,
4], [v = 1, u = 0, x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[1, 1],
[0, 0], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[8, 8, 8, 1, 5
], [v = 1, u = 0, x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [
0, 0], [1, 1], [-4, -4], [3, 3]]]], [[8, 14, 9, 9, 1], [v = 1, u = 3^(1/2), 1
< x, 0 < y, z = z], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576],
[2, 2], [1, 1], [0, 0]]]], [[9, 1, 3, 5, 1], [And(1 < v,v < 2^(1/2)), u < -(v^
2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [625403/262144, 625403/262144], [-3, -3]]]], [[9,
1, 3, 5, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [
625403/262144, 625403/262144], [-3239217/2097152, -202451/131072]]]], [[9, 1,
3, 5, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x <
-1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [625403/262144, 625403/262144], [0, 0]]]], [[9, 1
, 3, 5, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [625403/
262144, 625403/262144], [202451/131072, 1619609/1048576]]]], [[9, 1, 3, 5, 5],
[And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [625403/262144, 
625403/262144], [3, 3]]]], [[9, 5, 4, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v^
2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-2, -2], [-3, -3]]]], [[9, 5, 4, 1, 2], [And(1 <
v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u^2+v^2, z = -(1-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[9, 5, 4, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u
,u < -v), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 5, 4,
1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y < -u
^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-5818805/4194304, -5818805/4194304], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[9, 5, 4, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1,
-1], [-2, -2], [3, 3]]]], [[9, 7, 1, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3
, -3], [0, 0], [-3, -3]]]], [[9, 7, 1, 2, 2], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [
[9, 7, 1, 2, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x <
u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [0, 0], [-1/4194304, -1/4194304]]]], [[9, 7, 1, 2, 4], [And(1 < v,v < 2^(
1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[9,
7, 1, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-
v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [0, 0], [3, 3]]]], [
[9, 10, 2, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y < 0, z
< -(2-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-2, -2], [-1, -1], [-3, -3]]]], [[9, 10, 2, 1, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y < 0, z = -(2-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[9, 10
, 2, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y < 0, And(-(2
-y)^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [-1, -1], [-1/4194304, -1
/4194304]]]], [[9, 10, 2, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
= -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-2, -2], [-1, -1], [908093/524288,
1816187/1048576]]]], [[9, 10, 2, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(
1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [-1, -1], [3, 3]]
]], [[9, 11, 8, 4, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-112593/
262144, -450371/1048576], [-2, -2]]]], [[9, 11, 8, 4, 2], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [0, 0], [-112593/262144, -450371/1048576], [-1374407/2097152,
-687203/1048576]]]], [[9, 11, 8, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^
2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [0, 0], [-112593/262144, -450371/1048576], [0, 0]]]]
, [[9, 11, 8, 4, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-112593/262144,
-450371/1048576], [687203/1048576, 171801/262144]]]], [[9, 11, 8, 4, 5], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y = -u^2+v^2-1, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [-112593/262144, -450371/1048576], [2
, 2]]]], [[9, 16, 1, 5, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3
, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [-3,
-3]]]], [[9, 16, 1, 5, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3,
And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [-\
1284239/1048576, -642119/524288]]]], [[9, 16, 1, 5, 3], [And(1 < v,v < 2^(1/2)
), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [0, 0]]]], [[9, 16, 1, 5, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z = (
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/1048576
]]]], [[9, 16, 1, 5, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, 
And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [5/2, 5/2], [3, 3
]]]], [[9, 17, 6, 1, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y
< -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [0, 0], [-10, -10], [-5, -5]]]], [[9, 17, 6, 1, 2], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [-10, -10]
, [-3315889/1048576, -207243/65536]]]], [[9, 17, 6, 1, 3], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, x = 0, y < -u^2+v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [
-10, -10], [0, 0]]]], [[9, 17, 6, 1, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2
) < u, x = 0, y < -u^2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [0, 0], [-10, -10], [207243/65536, 3315889/
1048576]]]], [[9, 17, 6, 1, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x
= 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [0, 0], [-10, -10], [5, 5]]]], [[10, 6, 2, 2, 1], [v
= 2^(1/2), u = -v, x = -1, y = 0, z < -1], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [-2, -\
2]]]], [[10, 6, 2, 2, 2], [v = 2^(1/2), u = -v, x = -1, y = 0, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1, -1], [0, 0], [-1, -1]]]], [[10, 6, 2, 2, 3], [v = 2^(1/2), u = -
v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [0, 0], [0, 0]]]], [[
10, 6, 2, 2, 4], [v = 2^(1/2), u = -v, x = -1, y = 0, z = 1], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1
], [0, 0], [1, 1]]]], [[10, 6, 2, 2, 5], [v = 2^(1/2), u = -v, x = -1, y = 0,
1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [-1, -1], [0, 0], [2, 2]]]], [[10, 7, 10, 3, 1], [v = 2^(1/2)
, And(-v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), z < -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-2, -2], [-2, -2]]]], [[10, 7, 10, 3, 2], [v = 2^(1/2), And
(-v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), z = -(-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-2, -2], [-1, -1]]]], [[10, 7, 10, 3, 3], [v = 2^(1/2), And
(-v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), And(-(-y-1)^(1/2) < z,z < (-y
-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [1, 1], [-2, -2], [0, 0]]]], [[10, 7, 10, 3, 4], [
v = 2^(1/2), And(-v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), z = (-y-1)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1, 1], [-2, -2], [1, 1]]]], [[10, 7, 10, 3, 5], [v = 2^(1/2
), And(-v < u,u < -1), x = 1, And(u^2-4 < y,y < -u^2), (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-2, -2], [2, 2]]]], [[10, 11, 10, 8, 1], [v = 2^(1/2), And(
0 < u,u < 1), x = 1, y = 0, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[10, 13, 6, 2, 1], [v = 2^(1
/2), And(1 < u,u < v), x = -u^2+1, y = 2*u^2-4, z < -(-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -569265/524288
], [-3, -3]]]], [[10, 13, 6, 2, 2], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1
, y = 2*u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288
], [-1138531/1048576, -569265/524288], [-1302471/1048576, -651235/524288]]]],
[[10, 13, 6, 2, 3], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y = 2*u^2-4, 
And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -\
239655/524288], [-1138531/1048576, -569265/524288], [0, 0]]]], [[10, 13, 6, 2,
4], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -\
569265/524288], [651235/524288, 1302471/1048576]]]], [[10, 13, 6, 2, 5], [v =
2^(1/2), And(1 < u,u < v), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-1138531/1048576, -569265/524288
], [3, 3]]]], [[11, 3, 2, 7, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [4,
4], [0, 0]]]], [[11, 4, 6, 4, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, y =
0, z < 0], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0],
[0, 0], [-1, -1]]]], [[11, 4, 6, 4, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
0, y = 0, z = 0], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[0, 0], [0, 0], [0, 0]]]], [[11, 4, 6, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2)
, x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/
65536], [0, 0], [0, 0], [1, 1]]]], [[11, 9, 2, 6, 1], [2^(1/2) < v, And(-(v^2-\
1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-657547/
262144, -5260375/2097152], [3163223/1048576, 395403/131072], [0, 0]]]], [[11,
10, 5, 2, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, z
< -3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-\
1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[11, 10, 5, 2, 2], [2^(1/2) < v, u = -
(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[3
, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-5/2, -5/2], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 10, 5, 2, 3], [2^(1/2) < v, u = -
(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-\
5/2, -5/2], [-1/4194304, -1/4194304]]]], [[11, 10, 5, 2, 4], [2^(1/2) < v, u =
-(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[3
, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-5/2, -5/2], [
908093/524288, 1816187/1048576]]]], [[11, 10, 5, 2, 5], [2^(1/2) < v, u = -(v^
2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[3, 3]
, [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]],
[[11, 16, 3, 5, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/4, 1/4],
[-2, -2]]]], [[11, 16, 3, 5, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2]
, [1/4, 1/4], [-1/2, -1/2]]]], [[11, 16, 3, 5, 3], [2^(1/2) < v, u = v, And(-1
< x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 16,
3, 5, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y
)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2
]]]], [[11, 16, 3, 5, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(0 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/4,
1/4], [2, 2]]]], [[11, 17, 11, 2, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2
)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[403851/131072, 403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [-\
3, -3]]]], [[11, 17, 11, 2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1
< x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [-\
1281417/1048576, -160177/131072]]]], [[11, 17, 11, 2, 3], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072]
, [2, 2], [-457889/131072, -3663111/1048576], [0, 0]]]], [[11, 17, 11, 2, 4],
[2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2]
, [-457889/131072, -3663111/1048576], [160177/131072, 1281417/1048576]]]], [[
11, 17, 11, 2, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -u^2
+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [3, 3]]]], [[11, 
21, 11, 9, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, 0 < y, z = z],
[regular_chain, [[3, 3], [5, 5], [16, 16], [1, 1], [0, 0]]]], [[1, 2, 4, 8, 1]
, [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[
-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [2, 2], [0, 0]]]], [[1
, 3, 9, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [-3, -3]]]], [
[1, 3, 9, 2, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-3398507/1048576, -1699253/524288], [-1655969/
1048576, -3311937/2097152]]]], [[1, 3, 9, 2, 3], [v < -2^(1/2), And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, And(
-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
3398507/1048576, -1699253/524288], [-1/4194304, -1/4194304]]]], [[1, 3, 9, 2,
4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-\
3398507/1048576, -1699253/524288], [51749/32768, 1655969/1048576]]]], [[1, 3,
9, 2, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v
^2-1 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-\
3, -3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [-3398507/1048576, -1699253/524288], [3, 3]]]], [[1, 8, 3, 4, 1], [v
< -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[0, 0], [-3, -3]]]], [[1, 8, 3, 4, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(
-2 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-3/2, -3/2], [0, 0], [-1284239/1048576, -642119/
524288]]]], [[1, 8, 3, 4, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [0, 0], [0, 0]]]], [[1, 8
, 3, 4, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, z =
(-x)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-3/2, -3/2], [0, 0], [642119/524288, 1284239/1048576]]]], [[1, 8, 3, 4, 5], [
v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2]
, [0, 0], [3, 3]]]], [[1, 9, 9, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/
2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
395403/524288, 395403/524288], [-5, -5], [-4, -4]]]], [[1, 9, 9, 1, 2], [v < -
2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1)
, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [-5, -5], [-\
1080317/524288, -2160633/1048576]]]], [[1, 9, 9, 1, 3], [v < -2^(1/2), And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-\
1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-5, -5]
, [0, 0]]]], [[1, 9, 9, 1, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-5, -5], [2160633/1048576, 1080317/524288]]]], [[1, 9
, 9, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^
2+v^2-1 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [
-5, -5], [4, 4]]]], [[1, 15, 7, 2, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [-1322295/1048576, -661147/524288], [-3, -3]]]], [[1, 15,
7, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x <
0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
1322295/1048576, -661147/524288], [-1287385/1048576, -160923/131072]]]], [[1,
15, 7, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x
,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))]
, [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/
2097152, -516571/2097152], [-1322295/1048576, -661147/524288], [0, 0]]]], [[1,
15, 7, 2, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x
,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
1322295/1048576, -661147/524288], [160923/131072, 1287385/1048576]]]], [[1, 15
, 7, 2, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x
< 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-\
1322295/1048576, -661147/524288], [3, 3]]]], [[1, 17, 3, 8, 1], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [1307267/1048576, 326817/262144], [-1, -1]]]], [[1, 17, 3, 8
, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, y = -x, z = 0], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [
-2614535/2097152, -2614535/2097152], [1307267/1048576, 326817/262144], [0, 0]]
]], [[1, 17, 3, 8, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+
v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [1307267/1048576, 326817
/262144], [1, 1]]]], [[1, 21, 5, 1, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(
-1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [5, 5], [-1/2, -1/2], [-18, -18], [-6, -6]]]], [[1, 21, 5, 1, 2], [v < -2^(1
/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-18, -18], [-281881/65536
, -4510095/1048576]]]], [[1, 21, 5, 1, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, 
And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-18, -18], [0, 0]]]], [[1, 
21, 5, 1, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^
2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-\
18, -18], [4510095/1048576, 281881/65536]]]], [[1, 21, 5, 1, 5], [v < -2^(1/2)
, (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-18, -18], [6, 6]]]], [[2, 1,
7, 2, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1
/2], [-17/2, -17/2], [-4, -4]]]], [[2, 1, 7, 2, 2], [v = -2^(1/2), u < -2, And
(0 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-17/2, -17/2], [-2965821/
1048576, -11863283/4194304]]]], [[2, 1, 7, 2, 3], [v = -2^(1/2), u < -2, And(0
< x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-17
/2, -17/2], [-3/8388608, -3/8388608]]]], [[2, 1, 7, 2, 4], [v = -2^(1/2), u <
-2, And(0 < x,x < 1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-17/2, -17/2], [
741455/262144, 2965821/1048576]]]], [[2, 1, 7, 2, 5], [v = -2^(1/2), u < -2, 
And(0 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-17/2, -17/2], [4, 4]]]], [[
2, 10, 5, 8, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = 1-x, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [3/2
, 3/2], [0, 0]]]], [[2, 11, 10, 2, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 1,
y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [1, 1], [-15/4, -15/4], [-3, -3]]]], [[2, 11, 10, 2, 2],
[v = -2^(1/2), And(0 < u,u < 1), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [-15/4
, -15/4], [-1738867/1048576, -3477733/2097152]]]], [[2, 11, 10, 2, 3], [v = -2
^(1/2), And(0 < u,u < 1), x = 1, y = u^2-4, And(-(-u^2+3)^(1/2) < z,z < (-u^2+
3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [
1, 1], [-15/4, -15/4], [-1/4194304, -1/4194304]]]], [[2, 11, 10, 2, 4], [v = -
2^(1/2), And(0 < u,u < 1), x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [-15/4
, -15/4], [869433/524288, 1738867/1048576]]]], [[2, 11, 10, 2, 5], [v = -2^(1/
2), And(0 < u,u < 1), x = 1, y = u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [-15/4, -15/4], [3, 3]
]]], [[2, 16, 4, 6, 1], [v = -2^(1/2), u = 3^(1/2), x = -1, y = 1, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [1, 1], [-1, -1]]]], [[2, 16, 4, 6, 2], [v = -2^(1/2), u =
3^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [0, 0]]]], [[2, 
16, 4, 6, 3], [v = -2^(1/2), u = 3^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [1, 1], [1, 1]]]], [[2, 17, 10, 1, 1], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), x = 1, y < -u^2, z < -(-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1],
[-5, -5], [-3, -3]]]], [[2, 17, 10, 1, 2], [v = -2^(1/2), And(3^(1/2) < u,u <
2), x = 1, y < -u^2, z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [-5, -5], [-2, -2]
]]], [[2, 17, 10, 1, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y < -u^
2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [-5, -5]
, [0, 0]]]], [[2, 17, 10, 1, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1,
y < -u^2, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [1, 1], [-5, -5], [2, 2]]]], [[2,
17, 10, 1, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y < -u^2, (-y-1)^
(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [1, 1], [-5, -5], [3, 3]]]], [[3, 4, 5, 1, 1], [And
(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(
-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[3, 4, 5, 1,
2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2
, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3, -3], [-7846825/4194304,
-980853/524288]]]], [[3, 4, 5, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^
(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[3, 4, 5, 1, 4], [And(-2
^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z = (-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/
1048576]]]], [[3, 4, 5, 1, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2],
[-3, -3], [3, 3]]]], [[3, 5, 10, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1
)^(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [1, 1], [-8388607/4194304, -8388607/4194304], [-2, -2]]]],
[[3, 5, 10, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
= 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1,
1], [-8388607/4194304, -8388607/4194304], [-8388607/8388608, -4398045986815/
4398046511104]]]], [[3, 5, 10, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^
(1/2) < u,u < v), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-5818805/4194304, -5818805/4194304], [1, 1], [-8388607/4194304, -8388607/
4194304], [-3670015/8796093022208, -3670015/8796093022208]]]], [[3, 5, 10, 3,
4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(-u^2+
v^2-2 < y,y < u^2-v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-\
8388607/4194304, -8388607/4194304], [1048575/1048576, 1]]]], [[3, 5, 10, 3, 5]
, [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(-u^2+v^
2-2 < y,y < u^2-v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-8388607/
4194304, -8388607/4194304], [2, 2]]]], [[3, 10, 4, 7, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2-1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [2, 2],
[0, 0]]]], [[3, 11, 10, 2, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[-2695357/1048576, -5390713/2097152], [-3, -3]]]], [[3, 11, 10, 2, 2], [And(-2
^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z = -
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [-2695357/1048576, -5390713/2097152],
[-1314069/1048576, -328517/262144]]]], [[3, 11, 10, 2, 3], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, And(-(-u^2+v^2+1)^
(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-2695357/1048576,
-5390713/2097152], [0, 0]]]], [[3, 11, 10, 2, 4], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [1, 1], [-2695357/1048576, -5390713/2097152], [328517/262144, 
1314069/1048576]]]], [[3, 11, 10, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1
)^(1/2) < u,u < -v), x = 1, y = u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-2695357/1048576, -5390713/2097152], [3, 3]]]], [[3, 15, 5,
7, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/
2], [1550541/2097152, 1550541/2097152], [0, 0]]]], [[3, 16, 7, 8, 1], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = 1-x, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [1/2, 1/2], [0, 0]]]], [[4, 3, 7, 1, 1], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)^(1/2)]
, [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-4, -4], [-3, -3]]]], [[4, 3, 7, 1, 2], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^
(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
248903/1048576, 248903/1048576], [-4, -4], [-32543595/16777216, -16271797/
8388608]]]], [[4, 3, 7, 1, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0
< x,x < u^2-2), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-4, -4], [-5/16777216, -5/16777216]]]], [[4, 3, 7,
1, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y < -u^2
-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-4, -4], [1016987/524288, 2033975
/1048576]]]], [[4, 3, 7, 1, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0
< x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-4, -4]
, [3, 3]]]], [[4, 5, 1, 9, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, -x
< y, z = z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-3, -3], [4, 4], [0, 0]]]], [[4, 11, 7, 6, 1], [v = -1, And(1 < u,u < 2^(1/2)
), And(u^2-2 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0],
[-2, -2]]]], [[4, 11, 7, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x
,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576,
1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0], [-273157/524288,
-1092627/2097152]]]], [[4, 11, 7, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(
u^2-2 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/
2097152], [0, 0], [-1/4194304, -1/4194304]]]], [[4, 11, 7, 6, 4], [v = -1, And
(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [0, 0], [546313/1048576, 273157/524288]]]], [[4, 11, 7, 6,
5], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = 0, (-x)^(1/2) <
z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [0, 0], [2, 2]]]], [[4, 13, 2, 5, 1], [v = -1, And(
2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(u^2 < y,y < 2*u^2-2), z = z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1297479/524288
, -2594957/1048576], [5687721/2097152, 5687721/2097152], [0, 0]]]], [[5, 1, 10
, 5, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-u^2+v^2+1
< y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-\
31/8, -31/8], [0, 0]]]], [[5, 3, 3, 8, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z =
z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885
/1048576, -1815885/1048576], [2301927/1048576, 287741/131072], [0, 0]]]], [[5,
12, 6, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0),
z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-3/2, -3
/2], [-3, -3]]]], [[5, 12, 6, 3, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x
= 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[5, 12, 6,
3, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), And(-(
-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0,
0], [-3/2, -3/2], [0, 0]]]], [[5, 12, 6, 3, 4], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [3/2, 3/2], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[
5, 12, 6, 3, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y <
0), (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-3/2,
-3/2], [3, 3]]]], [[5, 13, 10, 4, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x
= u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-1/2, -1/2], [3, 3], [
31/4, 31/4], [-31/4, -31/4], [-1, -1]]]], [[5, 13, 10, 4, 2], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain,
[[-1/2, -1/2], [3, 3], [31/4, 31/4], [-31/4, -31/4], [0, 0]]]], [[5, 13, 10, 4
, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -u^2+v^2+1, 0
< z], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-31/4, -31/4], [1,
1]]]], [[6, 4, 9, 4, 1], [v = 0, u = -1, 1 < x, y = -x, z < 0], [regular_chain
, [[0, 0], [-1, -1], [2, 2], [-2, -2], [-1, -1]]]], [[6, 4, 9, 4, 2], [v = 0,
u = -1, 1 < x, y = -x, z = 0], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-2,
-2], [0, 0]]]], [[6, 4, 9, 4, 3], [v = 0, u = -1, 1 < x, y = -x, 0 < z], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [-2, -2], [1, 1]]]], [[6, 6, 3, 2, 1
], [v = 0, u = 0, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[0, 0
], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[6, 6, 3, 2, 2], [v = 0,
u = 0, And(-1 < x,x < 0), y = -1-x, z = -1], [regular_chain, [[0, 0], [0, 0],
[-1/2, -1/2], [-1/2, -1/2], [-1, -1]]]], [[6, 6, 3, 2, 3], [v = 0, u = 0, And(
-1 < x,x < 0), y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[0, 0], [0, 0],
[-1/2, -1/2], [-1/2, -1/2], [0, 0]]]], [[6, 6, 3, 2, 4], [v = 0, u = 0, And(-1
< x,x < 0), y = -1-x, z = 1], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [
-1/2, -1/2], [1, 1]]]], [[6, 6, 3, 2, 5], [v = 0, u = 0, And(-1 < x,x < 0), y
= -1-x, 1 < z], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [-1/2, -1/2], [
2, 2]]]], [[7, 1, 4, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y =
1, z < 0], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [1, 1], [-1, -1]]]
], [[7, 1, 4, 6, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y = 1, z =
0], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [1, 1], [0, 0]]]], [[7, 1
, 4, 6, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [1, 1], [1, 1]]]], [[7, 2, 6,
5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, And(0 < y,y < 1), z = z],
[regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [1/2, 1/2], [0, 0]]]], [[7,
7, 2, 3, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, And(0 < y,y
< -2*u^2+2*v^2), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0,
0], [-5/4, -5/4], [1/4, 1/4], [-2, -2]]]], [[7, 7, 2, 3, 2], [And(0 < v,v < 1)
, And(-v < u,u < v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = -(-u^2+v^
2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [1/4, 1/4],
[-1, -1]]]], [[7, 7, 2, 3, 3], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v
^2-1, And(0 < y,y < -2*u^2+2*v^2), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2
-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [1/4, 1/4],
[0, 0]]]], [[7, 7, 2, 3, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2
-1, And(0 < y,y < -2*u^2+2*v^2), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [0, 0], [-5/4, -5/4], [1/4, 1/4], [1, 1]]]], [[7, 7, 2, 3, 5], [And
(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2),
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4],
[1/4, 1/4], [2, 2]]]], [[7, 8, 5, 5, 1], [And(0 < v,v < 1), u = v, And(0 < x,x
< 1), And(-x < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2
, 1/2], [-1/4, -1/4], [0, 0]]]], [[7, 11, 10, 9, 1], [And(0 < v,v < 1), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[1/
2, 1/2], [343151/262144, 343151/262144], [1, 1], [1, 1], [0, 0]]]], [[7, 13, 4
, 5, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z < -
(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [1/2, 1/2], [-2,
-2]]]], [[7, 13, 4, 5, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(0
< y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[7, 13, 4, 5, 3], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,
z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [1/2, 1/2],
[0, 0]]]], [[7, 13, 4, 5, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, 
And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1,
-1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[7, 13, 4, 5, 5], [And(0 <
v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[8, 4, 1
, 3, 1], [v = 1, u = -2^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [1/2,
1/2], [-3, -3]]]], [[8, 4, 1, 3, 2], [v = 1, u = -2^(1/2), x < -2, And(0 < y,y
< -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [
[8, 4, 1, 3, 3], [v = 1, u = -2^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-3, -3], [1/2, 1/2], [0, 0]]]], [[8, 4, 1, 3, 4], [v = 1, u =
-2^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [207243/131072,
1657945/1048576]]]], [[8, 4, 1, 3, 5], [v = 1, u = -2^(1/2), x < -2, And(0 < y
,y < -x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-3, -3], [1/2, 1/2], [3, 3]]]], [[8, 5, 7, 8, 1], [v = 1, And
(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -x, z < 0], [regular_chain, [
[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/
2097152], [35579/131072, 284633/1048576], [-1, -1]]]], [[8, 5, 7, 8, 2], [v =
1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [35579/131072, 284633/1048576], [0, 0]]]], [[8, 5, 7, 8, 3
], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [35579/131072, 284633/1048576], [1, 1]]]], [[8, 12, 1, 6,
1], [v = 1, u = 2^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[8, 12, 1, 6,
2], [v = 1, u = 2^(1/2), x < -2, y = -x, z = 0], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [3, 3], [0, 0]]]], [[8, 12, 1, 6, 3
], [v = 1, u = 2^(1/2), x < -2, y = -x, 0 < z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [3, 3], [1, 1]]]], [[8, 13, 8, 2, 1
], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -2*u^2+2, z < -u], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/1048576, 
248903/524288], [-12371053/4194304, -49484211/16777216], [-3, -3]]]], [[8, 13,
8, 2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -2*u^2+2, z = -
u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [-12371053/4194304, -49484211/16777216], [-3299097/
2097152, -3299097/2097152]]]], [[8, 13, 8, 2, 3], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), x = u^2-2, y = -2*u^2+2, And(-u < z,z < u)], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-\
12371053/4194304, -49484211/16777216], [-1/4194304, -1/4194304]]]], [[8, 13, 8
, 2, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y = -2*u^2+2, z = u]
, [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/1048576
, 248903/524288], [-12371053/4194304, -49484211/16777216], [412387/262144, 
1649549/1048576]]]], [[8, 13, 8, 2, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = u^2-2, y = -2*u^2+2, u < z], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [497805/1048576, 248903/524288], [-12371053/4194304, -\
49484211/16777216], [3, 3]]]], [[9, 2, 4, 9, 1], [And(1 < v,v < 2^(1/2)), u =
-(v^2+2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [3, 3], [0,
0]]]], [[9, 3, 9, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < 0), z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [-273305/2097152, -273305
/2097152], [0, 0]]]], [[9, 13, 4, 5, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [490235/2097152, 490235/2097152], [-2, -2]]]], [[9, 13, 4,
5, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 <
y,y < u^2-v^2), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [490235/2097152, 
490235/2097152], [-7342969/8388608, -917871/1048576]]]], [[9, 13, 4, 5, 3], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^
2-v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [
490235/2097152, 490235/2097152], [0, 0]]]], [[9, 13, 4, 5, 4], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), z = (1
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [490235/2097152, 490235/2097152], [917871
/1048576, 57367/65536]]]], [[9, 13, 4, 5, 5], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [490235/2097152, 490235/2097152], [2, 2]]]], [[9, 14, 8, 6
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [0, 0], [0, 0]]]], [[10, 1, 7, 8, 1], [v = 2^(1/2), u < -2, 
And(0 < x,x < 1), y = u^2-x-3, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1/2, 1/2], [11/2, 11/2], [0, 0]]]], [[10, 3, 1, 4
, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -u^2-x+1, z < -(
u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-4, -4], [397921/262144, 1591685/1048576], [-3, -\
3]]]], [[10, 3, 1, 4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1,
y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [397921/262144, 
1591685/1048576], [-825991/524288, -3303963/2097152]]]], [[10, 3, 1, 4, 3], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -u^2-x+1, And(-(u^2-1)^(1
/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3913339/2097152, -3913339/2097152], [-4, -4], [397921/262144, 1591685/
1048576], [-1/4194304, -1/4194304]]]], [[10, 3, 1, 4, 4], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x < -u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-4, -4], [397921/262144, 1591685/1048576], [1651981/1048576, 825991
/524288]]]], [[10, 3, 1, 4, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u
^2+1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [397921/
262144, 1591685/1048576], [3, 3]]]], [[10, 9, 4, 6, 1], [v = 2^(1/2), And(-1 <
u,u < 0), x = -1, y = 1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1, -1], [1, 1], [-1, -1]]]], [[10, 9, 4, 6, 2], [v =
2^(1/2), And(-1 < u,u < 0), x = -1, y = 1, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [1, 1], [0, 0]]]], [[10, 9,
4, 6, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, y = 1, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [1,
1], [1, 1]]]], [[10, 10, 7, 2, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y =
-x-3, z < -3^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0]
, [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[10, 10, 7, 2, 2], [v = 2^(1/2), u =
0, And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [0, 0], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -\
3632373/2097152]]]], [[10, 10, 7, 2, 3], [v = 2^(1/2), u = 0, And(0 < x,x < 1)
, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [0, 0], [1/2, 1/2], [-7/2, -7/2], [-1/4194304, -1/4194304]]]
], [[10, 10, 7, 2, 4], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y = -x-3, z = 3^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2],
[-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[10, 10, 7, 2, 5], [v = 2^
(1/2), u = 0, And(0 < x,x < 1), y = -x-3, 3^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]],
[[10, 15, 2, 5, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(2*u^
2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -\
1546381/1048576], [2541993/2097152, 2541993/2097152], [-2, -2]]]], [[10, 15, 2
, 5, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(2*u^2-4 < y,y <
u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [2541993/2097152, 2541993/2097152], [-268683/524288, -1074731/
2097152]]]], [[10, 15, 2, 5, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^
2+1, And(2*u^2-4 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [2541993/2097152, 
2541993/2097152], [-1/4194304, -1/4194304]]]], [[10, 15, 2, 5, 4], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = (u^2-y-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152
, 3299097/2097152], [-773191/524288, -1546381/1048576], [2541993/2097152, 
2541993/2097152], [537365/1048576, 268683/524288]]]], [[10, 15, 2, 5, 5], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), (u^2-
y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [2541993/
2097152, 2541993/2097152], [2, 2]]]], [[10, 16, 6, 2, 1], [v = 2^(1/2), u = 3^
(1/2), x = 0, y = -2, z < -2^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[
10, 16, 6, 2, 2], [v = 2^(1/2), u = 3^(1/2), x = 0, y = -2, z = -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[10, 16, 6
, 2, 3], [v = 2^(1/2), u = 3^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [0, 0], [-2, -2], [0, 0]]]], [[10, 16, 6, 2, 4], [v = 2^(1/2
), u = 3^(1/2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [908093/524288, 1816187/1048576], [0, 0], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[10, 16, 6, 2, 5], [v = 2^(1/2), u = 3^(1/2), x
= 0, y = -2, 2^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [0, 0], [-2, -2], [3, 3]]]], [[10, 19, 7, 8,
1], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y = u^2-x-3, z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [11/2, 11/2], [0, 0]]
]], [[11, 1, 10, 2, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -\
2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [15,
15], [-32, -32], [-6, -6]]]], [[11, 1, 10, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(
1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[3, 3], [-5, -5], [15, 15], [-32, -32], [-2161695/524288, -4323389/1048576]
]]], [[11, 1, 10, 2, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, y =
-2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [15, 15], [-32, -32], [0, 0]]]], [[11, 1, 10
, 2, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z
= (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [15, 15], [-32, -32],
[4323389/1048576, 2161695/524288]]]], [[11, 1, 10, 2, 5], [2^(1/2) < v, u < -(
v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-5, -5], [15, 15], [-32, -32], [6, 6]]]], [[11, 5, 10
, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, 0 < y, z = z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [1, 1], [0,
0]]]], [[11, 7, 8, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0,
y < u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[11, 7, 8, 1, 2], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[11, 7, 8, 1, 3], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[11, 7, 8, 1, 4], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = (-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [-3, -3]
, [908093/524288, 1816187/1048576]]]], [[11, 7, 8, 1, 5], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [regular_chain
, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [-3, -3], [3, 3]]]],
[[11, 13, 5, 9, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-1 < x,x < 0), -u^2+v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [1435023
/524288, 1435023/524288], [-1/2, -1/2], [3, 3], [0, 0]]]], [[11, 15, 1, 5, 1],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y
,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3, -3], [2, 2], [-2, -2]]]], [[11, 15, 1, 5, 2],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y
,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[11, 15, 1, 5, 3],
[2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(u^2-v^2-x-1 < y
,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [2, 2], [0, 0]]]], [[11
, 15, 1, 5, 4], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And
(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[3, 3]
, [6111549/2097152, 6111549/2097152], [-3, -3], [2, 2], [1, 1]]]], [[11, 15, 1
, 5, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(u^2-v^
2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
6111549/2097152, 6111549/2097152], [-3, -3], [2, 2], [2, 2]]]], [[11, 19, 5, 6
, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0
), y = -x, z < 0], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576]
, [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 19, 5, 6, 2], [2^(1/2) < v, And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1/2
, 1/2], [0, 0]]]], [[11, 19, 5, 6, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11,
20, 8, 2, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y = -4, z < -3^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-4, -4], [
-3, -3]]]], [[11, 20, 8, 2, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y = -4
, z = -3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [
1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[11, 20, 8, 2, 3],
[2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))]
, [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-4, -4]
, [-1/4194304, -1/4194304]]]], [[11, 20, 8, 2, 4], [2^(1/2) < v, u = (v^2+2)^(
1/2), x = 1, y = -4, z = 3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576,
1738867/524288], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[11,
20, 8, 2, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y = -4, 3^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-4, -4], [
3, 3]]]], [[1, 5, 4, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x =
-1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1, -1], [-2, -2], [-3, -3]]]], [[1, 5, 4, 1, 2], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+v^2, z = -(1-y)^(1
/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [
-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[1, 5, 4, 1, 3], [v < -2^(1
/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z
,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072
], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 5, 4, 1, 4], [v < -2^
(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [-2, -2
], [908093/524288, 1816187/1048576]]]], [[1, 5, 4, 1, 5], [v < -2^(1/2), And(-
(v^2+1)^(1/2) < u,u < v), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [-2, -2]
, [3, 3]]]], [[1, 6, 7, 5, 1], [v < -2^(1/2), u = v, 1 < x, And(-x < y,y < 0),
z = z], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-1, -1], [0, 0]]]], [[1,
11, 1, 9, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^
2-v^2-1, -u^2+v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [0, 0], [-11, -\
11], [20, 20], [0, 0]]]], [[1, 12, 4, 1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2),
x = -1, y < -2, z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576
, 10837/4096], [-1, -1], [-3, -3], [-3, -3]]]], [[1, 12, 4, 1, 2], [v < -2^(1/
2), u = (v^2-2)^(1/2), x = -1, y < -2, z = -(1-y)^(1/2)], [regular_chain, [[-3
, -3], [2774271/1048576, 10837/4096], [-1, -1], [-3, -3], [-2, -2]]]], [[1, 12
, 4, 1, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096
], [-1, -1], [-3, -3], [0, 0]]]], [[1, 12, 4, 1, 4], [v < -2^(1/2), u = (v^2-2
)^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [-1, -1], [-3, -3], [2, 2]]]], [[1, 12, 4, 1, 5], [v <
-2^(1/2), u = (v^2-2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [-3, -3], [3, 3]]]], [[1,
18, 7, 3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[1, 18, 7, 3, 2], [v
< -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2,
1/2], [-3/2, -3/2], [-1, -1]]]], [[1, 18, 7, 3, 3], [v < -2^(1/2), u = (v^2+1)
^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2,
1/2], [-3/2, -3/2], [0, 0]]]], [[1, 18, 7, 3, 4], [v < -2^(1/2), u = (v^2+1)^(
1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-3/2,
-3/2], [1, 1]]]], [[1, 18, 7, 3, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 <
x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[1, 19,
11, 8, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y =
0, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2,
2], [0, 0], [0, 0]]]], [[2, 2, 9, 3, 1], [v = -2^(1/2), u = -2, 1 < x, And(-x-\
3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [-2, -2], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[2, 2, 9, 3, 2], [v =
-2^(1/2), u = -2, 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-7/2, -\
7/2], [-1284239/1048576, -642119/524288]]]], [[2, 2, 9, 3, 3], [v = -2^(1/2),
u = -2, 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-7/2,
-7/2], [0, 0]]]], [[2, 2, 9, 3, 4], [v = -2^(1/2), u = -2, 1 < x, And(-x-3 < y
,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]],
[[2, 2, 9, 3, 5], [v = -2^(1/2), u = -2, 1 < x, And(-x-3 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2,
2], [-7/2, -7/2], [3, 3]]]], [[2, 4, 2, 4, 1], [v = -2^(1/2), u = -3^(1/2), x
= -2, y = 2, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [-1, -1]]]], [[2, 4, 2,
4, 2], [v = -2^(1/2), u = -3^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -\
2], [2, 2], [0, 0]]]], [[2, 4, 2, 4, 3], [v = -2^(1/2), u = -3^(1/2), x = -2,
y = 2, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-2, -2], [2, 2], [1, 1]]]], [[2, 7, 9, 1, 1], [v
= -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y < u^2-x-3, z < -(-x-y)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[2, 7, 9, 1, 2], [v = -2
^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y < u^2-x-3, z = -(-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]],
[[2, 7, 9, 1, 3], [v = -2^(1/2), And(v < u,u < -1), And(0 < x,x < 1), y < u^2-
x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
4, -4], [0, 0]]]], [[2, 7, 9, 1, 4], [v = -2^(1/2), And(v < u,u < -1), And(0 <
x,x < 1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-4, -4], [
980853/524288, 1961707/1048576]]]], [[2, 7, 9, 1, 5], [v = -2^(1/2), And(v < u
,u < -1), And(0 < x,x < 1), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [1/2,
1/2], [-4, -4], [3, 3]]]], [[2, 9, 3, 9, 1], [v = -2^(1/2), And(-1 < u,u < 0),
And(u^2-3 < x,x < -1), -u^2-x+1 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [4, 4], [0, 0]]]], [[2
, 13, 5, 2, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y =
u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-426949/524288, -3415591/4194304], [-3, -3]]]], [[2, 13, 5, 2, 2],
[v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = u^2-x-3, z = -(-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [-426949/
524288, -3415591/4194304], [-1302471/1048576, -651235/524288]]]], [[2, 13, 5,
2, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = u^2-x-3,
And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [-426949/524288, -3415591/4194304], [0, 0]]]], [[2
, 13, 5, 2, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y =
u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-426949/524288, -3415591/4194304], [651235/524288, 1302471/1048576]
]]], [[2, 13, 5, 2, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+
1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-426949/524288, -3415591/4194304], [3, 3]]]], [[2, 15, 1, 8
, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [3, 3], [-1, -1]]]], [[2, 15, 1, 8, 2], [v = -2^(1/2), And
(-v < u,u < 3^(1/2)), x < -u^2+1, y = -x, z = 0], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [3, 3]
, [0, 0]]]], [[2, 15, 1, 8, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u
^2+1, y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [3, 3], [1, 1]]]], [[3, 1, 8, 9,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, u^2-v^2-2 < y, z = z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [7
, 7], [0, 0]]]], [[3, 3, 2, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [-1, -1], [-3, -3]]]],
[[3, 3, 2, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608],
[-1299559/524288, -2599117/1048576], [-1, -1], [-7822925/4194304, -1955731/
1048576]]]], [[3, 3, 2, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z <
(u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [
-1, -1], [0, 0]]]], [[3, 3, 2, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [-1, -1], [1955731/
1048576, 488933/262144]]]], [[3, 3, 2, 1, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [-1, -1], [3
, 3]]]], [[3, 7, 7, 1, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(
1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-3, -3], [-3, -3]]]], [
[3, 7, 7, 1, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And
(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-3, -3], [-7520275/4194304, -3760137/
2097152]]]], [[3, 7, 7, 1, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-\
1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-3, -\
3], [-1/4194304, -1/4194304]]]], [[3, 7, 7, 1, 4], [And(-2^(1/2) < v,v < -1),
And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z =
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-3, -\
3], [470017/262144, 1880069/1048576]]]], [[3, 7, 7, 1, 5], [And(-2^(1/2) < v,v
< -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x
-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-3,
-3], [3, 3]]]], [[3, 9, 1, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2
) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, -u^2+v^2-x-1 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [6, 6]
, [0, 0]]]], [[3, 17, 11, 9, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [8, 8], [1, 1], [0, 0]]]], [[4, 2, 3, 1, 1], [v = -1, u = -3
^(1/2), And(-3 < x,x < -1), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1
, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-2, -2], [-3, -3]]]],
[[4, 2, 3, 1, 2], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y < -x-3, z = -(-
x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152],
[-2, -2], [-2, -2], [-2, -2]]]], [[4, 2, 3, 1, 3], [v = -1, u = -3^(1/2), And(
-3 < x,x < -1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-2,
-2], [0, 0]]]], [[4, 2, 3, 1, 4], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y
< -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [-2, -2], [2, 2]]]], [[4, 2, 3, 1, 5], [v = -1, u
= -3^(1/2), And(-3 < x,x < -1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [
[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-2, -2], [3, 3]]]],
[[4, 6, 5, 2, 1], [v = -1, u = -1, And(0 < x,x < 1), y = -1-x, z < -1], [
regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[4
, 6, 5, 2, 2], [v = -1, u = -1, And(0 < x,x < 1), y = -1-x, z = -1], [
regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[4
, 6, 5, 2, 3], [v = -1, u = -1, And(0 < x,x < 1), y = -1-x, And(-1 < z,z < 1)]
, [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[
4, 6, 5, 2, 4], [v = -1, u = -1, And(0 < x,x < 1), y = -1-x, z = 1], [
regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[4,
6, 5, 2, 5], [v = -1, u = -1, And(0 < x,x < 1), y = -1-x, 1 < z], [
regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[4,
7, 11, 7, 1], [v = -1, And(-1 < u,u < 0), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [-1, -1], [0, 0]]]], [[4, 14,
4, 6, 1], [v = -1, u = 3^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-1, -\
1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [-1, -1]]]], [[4, 14,
4, 6, 2], [v = -1, u = 3^(1/2), x = -1, y = 1, z = 0], [regular_chain, [[-1, -\
1], [908093/524288, 1816187/1048576], [-1, -1], [1, 1], [0, 0]]]], [[4, 14, 4,
6, 3], [v = -1, u = 3^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [-1, -1], [1, 1], [1, 1]]]], [[4, 15, 8, 7,
1], [v = -1, 3^(1/2) < u, x = 1, And(0 < y,y < u^2-3), z = z], [regular_chain,
[[-1, -1], [3, 3], [1, 1], [3, 3], [0, 0]]]], [[5, 4, 7, 3, 1], [And(-1 < v,v
< 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/
2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[5, 4, 7, 3, 2], [And(-1 < v,v < 0), u =
-(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[-3/2, -3/2], [-1, -1]]]], [[5, 4, 7, 3, 3], [And(-1 < v,v < 0), u = -(v^2+1)^
(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[5, 4, 7, 3, 4], [And(-1 < v,v < 0), u =
-(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[-3/2, -3/2], [1, 1]]]], [[5, 4, 7, 3, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain
, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2], [-3/2, -3/2],
[2, 2]]]], [[5, 5, 11, 8, 1], [And(-1 < v,v < 0), And(-(v^2+1)^(1/2) < u,u < v
), 1 < x, y = 0, z = z], [regular_chain, [[-1/2, -1/2], [-1696631/2097152, -\
1696631/2097152], [2, 2], [0, 0], [0, 0]]]], [[5, 9, 9, 5, 1], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/1048576], [-2, -2]]]],
[[5, 9, 9, 5, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x
,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-836497/1048576, -\
836497/1048576], [-572167/1048576, -1144333/2097152]]]], [[5, 9, 9, 5, 3], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^
2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-836497/1048576
, -836497/1048576], [-1/4194304, -1/4194304]]]], [[5, 9, 9, 5, 4], [And(-1 < v
,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-836497/1048576, -836497/1048576], [286083/
524288, 572167/1048576]]]], [[5, 9, 9, 5, 5], [And(-1 < v,v < 0), And(-v < u,u
< (v^2+1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2,
1/2], [-836497/1048576, -836497/1048576], [2, 2]]]], [[5, 11, 4, 4, 1], [And(-\
1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z < -1]
, [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [0,
0], [-2, -2]]]], [[5, 11, 4, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1, -1], [0, 0], [-1, -1]]]], [[5, 11, 4, 4, 3
], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0
, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1, -1], [0, 0], [0, 0]]]], [[5, 11, 4, 4, 4], [And(-1 < v,v < 0), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 0, z = 1], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [0, 0]
, [1, 1]]]], [[5, 11, 4, 4, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, y = 0, 1 < z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1, -1], [0, 0], [2, 2]]]], [[6, 2, 1, 4, 1], [v = 0,
u = -2^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-4, -4], [1, 1], [-3, -3]]]], [[6, 2, 1, 4,
2], [v = 0, u = -2^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [regular_chain, [[0
, 0], [-1482911/1048576, -741455/524288], [-4, -4], [1, 1], [-1816187/1048576,
-3632373/2097152]]]], [[6, 2, 1, 4, 3], [v = 0, u = -2^(1/2), x < -3, y = -x-3
, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576,
-741455/524288], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[6, 2, 1, 4,
4], [v = 0, u = -2^(1/2), x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[0,
0], [-1482911/1048576, -741455/524288], [-4, -4], [1, 1], [908093/524288, 
1816187/1048576]]]], [[6, 2, 1, 4, 5], [v = 0, u = -2^(1/2), x < -3, y = -x-3,
3^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4
, -4], [1, 1], [3, 3]]]], [[6, 3, 5, 5, 1], [v = 0, And(-2^(1/2) < u,u < -1),
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]
], [[6, 3, 5, 5, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(
0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576,
-1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[6, 3, 5, 5, 3]
, [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(0 < y,y < -x), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[6, 3, 5, 5,
4], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576]
, [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 3, 5, 5, 5], [v = 0, And(-2^(1
/2) < u,u < -1), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [1
/4, 1/4], [2, 2]]]], [[6, 9, 9, 6, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2
-1 < x,x < 1), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [1527887/2097152, 1527887/2097152], [-284633/1048576, -35579
/131072], [0, 0]]]], [[6, 11, 2, 5, 1], [v = 0, 2^(1/2) < u, x = -u^2-1, And(u
^2+1 < y,y < 2*u^2), z = z], [regular_chain, [[0, 0], [3, 3], [-10, -10], [14,
14], [0, 0]]]], [[7, 3, 10, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < 0), z = z], [regular_chain, [[
1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-1125067/4194304, -\
1125067/4194304], [0, 0]]]], [[7, 5, 5, 6, 1], [And(0 < v,v < 1), And(-(v^2+1)
^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152],
[-1672995/2097152, -1672995/2097152], [106039/524288, 212079/1048576], [-2, -2
]]]], [[7, 5, 5, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And
(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/524288, 212079/1048576], [-1618333/2097152
, -3236665/4194304]]]], [[7, 5, 5, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2
) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(
1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/
524288, 212079/1048576], [-1/8388608, -1/8388608]]]], [[7, 5, 5, 6, 4], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2
-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/
524288, 212079/1048576], [404583/524288, 809167/1048576]]]], [[7, 5, 5, 6, 5],
[And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1),
y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [
106039/524288, 212079/1048576], [2, 2]]]], [[8, 1, 5, 9, 1], [v = 1, u < -3^(1
/2), And(-1 < x,x < 0), u^2-x-2 < y, z = z], [regular_chain, [[1, 1], [-3, -3]
, [-1/2, -1/2], [9, 9], [0, 0]]]], [[8, 2, 8, 5, 1], [v = 1, u = -3^(1/2), x =
1, And(-1 < y,y < 0), z = z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-1/2, -1/2], [0, 0]]]], [[8, 7, 4, 1, 1], [v = 1, 
And(-1 < u,u < 0), x = -1, y < u^2-1, z < -(1-y)^(1/2)], [regular_chain, [[1,
1], [-1/2, -1/2], [-1, -1], [-2, -2], [-3, -3]]]], [[8, 7, 4, 1, 2], [v = 1, 
And(-1 < u,u < 0), x = -1, y < u^2-1, z = -(1-y)^(1/2)], [regular_chain, [[1,
1], [-1/2, -1/2], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]],
[[8, 7, 4, 1, 3], [v = 1, And(-1 < u,u < 0), x = -1, y < u^2-1, And(-(1-y)^(1/
2) < z,z < (1-y)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-2
, -2], [-1/4194304, -1/4194304]]]], [[8, 7, 4, 1, 4], [v = 1, And(-1 < u,u < 0
), x = -1, y < u^2-1, z = (1-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2],
[-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[8, 7, 4, 1, 5], [v
= 1, And(-1 < u,u < 0), x = -1, y < u^2-1, (1-y)^(1/2) < z], [regular_chain, [
[1, 1], [-1/2, -1/2], [-1, -1], [-2, -2], [3, 3]]]], [[8, 8, 8, 2, 1], [v = 1,
u = 0, x = 1, y = -3, z < -2^(1/2)], [regular_chain, [[1, 1], [0, 0], [1, 1],
[-3, -3], [-3, -3]]]], [[8, 8, 8, 2, 2], [v = 1, u = 0, x = 1, y = -3, z = -2^
(1/2)], [regular_chain, [[1, 1], [0, 0], [1, 1], [-3, -3], [-1482911/1048576,
-741455/524288]]]], [[8, 8, 8, 2, 3], [v = 1, u = 0, x = 1, y = -3, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [0, 0], [1, 1], [-3, -3], [0, 0
]]]], [[8, 8, 8, 2, 4], [v = 1, u = 0, x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[1, 1], [0, 0], [1, 1], [-3, -3], [741455/524288, 1482911/
1048576]]]], [[8, 8, 8, 2, 5], [v = 1, u = 0, x = 1, y = -3, 2^(1/2) < z], [
regular_chain, [[1, 1], [0, 0], [1, 1], [-3, -3], [3, 3]]]], [[8, 14, 9, 8, 1]
, [v = 1, u = 3^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [2, 2], [0, 0], [0, 0]]]], [[9, 1, 3, 4, 1], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -
(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [0, 0], [-4, -4]]]], [[9, 1, 3, 4, 2], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3
], [-10006449/2097152, -10006449/2097152], [0, 0], [-286309/131072, -2290471/
1048576]]]], [[9, 1, 3, 4, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [0, 0], [0, 0]]]], [[9, 1, 3, 4, 4], [And(1 < v,v
< 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [0, 0], [2290471/1048576, 286309/131072]
]]], [[9, 1, 3, 4, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v
^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [0, 0], [4
, 4]]]], [[9, 5, 4, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-\
490237/1048576, -122559/262144], [-3, -3]]]], [[9, 5, 4, 2, 2], [And(1 < v,v <
2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1, -1], [-490237/1048576, -122559/262144], [-\
1270261/1048576, -317565/262144]]]], [[9, 5, 4, 2, 3], [And(1 < v,v < 2^(1/2))
, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-490237/1048576, -\
122559/262144], [0, 0]]]], [[9, 5, 4, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^
2+1)^(1/2) < u,u < -v), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-490237/1048576, -122559/262144], [317565/262144,
1270261/1048576]]]], [[9, 5, 4, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1, -1], [-490237/1048576, -122559/262144], [3, 3]]]], [[9, 7, 1, 3, 1], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y
< u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/1048576, 
749473/1048576], [-3, -3]]]], [[9, 7, 1, 3, 2], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = -(-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [749473/1048576, 749473/1048576], [-\
99071/65536, -3170271/2097152]]]], [[9, 7, 1, 3, 3], [And(1 < v,v < 2^(1/2)),
And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/
1048576, 749473/1048576], [-1/4194304, -1/4194304]]]], [[9, 7, 1, 3, 4], [And(
1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y
< u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/1048576, 
749473/1048576], [1585135/1048576, 99071/65536]]]], [[9, 7, 1, 3, 5], [And(1 <
v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u
^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [749473/1048576, 
749473/1048576], [3, 3]]]], [[9, 10, 1, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v
^2-1)^(1/2), x < -2, -x < y, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [4, 4], [0, 0]]]]
, [[9, 11, 8, 3, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z < -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [
-4194305/4194304, -4194305/4194304], [-3, -3]]]], [[9, 11, 8, 3, 2], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^
2+v^2-1), z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [0, 0], [-4194305/4194304, -4194305/
4194304], [-1048577/1048576, -1]]]], [[9, 11, 8, 3, 3], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And
(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [0, 0], [-4194305/4194304, -\
4194305/4194304], [0, 0]]]], [[9, 11, 8, 3, 4], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = (-y)^(1
/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [0, 0], [-4194305/4194304, -4194305/4194304], [1, 1048577/
1048576]]]], [[9, 11, 8, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [-4194305/4194304, -4194305/4194304], [3, 3]]]], [[9, 16, 1,
6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [4, 4], [-1, -1]]]], [[9, 16, 1, 6, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x < -3, y = -x, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [4, 4],
[0, 0]]]], [[9, 16, 1, 6, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x <
-3, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [4, 4], [1, 1]]]], [[9, 17, 6, 2, 1]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [
0, 0], [-4478937/524288, -8957873/1048576], [-4, -4]]]], [[9, 17, 6, 2, 2], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0,
0], [-4478937/524288, -8957873/1048576], [-1532401/524288, -24518415/8388608]]
]], [[9, 17, 6, 2, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y =
-u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [-4478937/524288, -\
8957873/1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 6, 2, 4], [And(1 < v
,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [-\
4478937/524288, -8957873/1048576], [3064801/1048576, 1532401/524288]]]], [[9,
17, 6, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y = -u^2+v^2-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [3, 3], [0, 0], [-4478937/524288, -8957873/1048576], [4, 4]]]], [[10, 6, 2,
1, 1], [v = 2^(1/2), u = -v, x = -1, y < 0, z < -(1-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1
], [-1, -1], [-3, -3]]]], [[10, 6, 2, 1, 2], [v = 2^(1/2), u = -v, x = -1, y <
0, z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [-1482911/1048576, -\
741455/524288]]]], [[10, 6, 2, 1, 3], [v = 2^(1/2), u = -v, x = -1, y < 0, And
(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-1, -1], [-1, -1], [0, 0]]]], [
[10, 6, 2, 1, 4], [v = 2^(1/2), u = -v, x = -1, y < 0, z = (1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[10, 6, 2,
1, 5], [v = 2^(1/2), u = -v, x = -1, y < 0, (1-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1
], [-1, -1], [3, 3]]]], [[10, 7, 10, 2, 1], [v = 2^(1/2), And(-v < u,u < -1),
x = 1, y = u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-5332835/
2097152, -2666417/1048576], [-3, -3]]]], [[10, 7, 10, 2, 2], [v = 2^(1/2), And
(-v < u,u < -1), x = 1, y = u^2-4, z = -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1],
[-5332835/2097152, -2666417/1048576], [-1302471/1048576, -651235/524288]]]], [
[10, 7, 10, 2, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y = u^2-4, And(-(-
u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-5332835/
2097152, -2666417/1048576], [0, 0]]]], [[10, 7, 10, 2, 4], [v = 2^(1/2), And(-
v < u,u < -1), x = 1, y = u^2-4, z = (-u^2+3)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-\
5332835/2097152, -2666417/1048576], [651235/524288, 1302471/1048576]]]], [[10,
7, 10, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y = u^2-4, (-u^2+3)^(1/
2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576,
-1265743/1048576], [1, 1], [-5332835/2097152, -2666417/1048576], [3, 3]]]], [[
10, 11, 10, 9, 1], [v = 2^(1/2), And(0 < u,u < 1), x = 1, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [1, 1],
[0, 0]]]], [[10, 13, 6, 3, 1], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, And
(2*u^2-4 < y,y < 0), z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -\
239655/524288], [-569265/1048576, -569265/1048576], [-2, -2]]]], [[10, 13, 6,
3, 2], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, And(2*u^2-4 < y,y < 0), z =
-(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743
/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [-569265/
1048576, -569265/1048576], [-2199022958689/2199023255552, -4398045917377/
4398046511104]]]], [[10, 13, 6, 3, 3], [v = 2^(1/2), And(1 < u,u < v), x = -u^
2+1, And(2*u^2-4 < y,y < 0), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265/1048576
], [-3600577/8796093022208, -3600577/8796093022208]]]], [[10, 13, 6, 3, 4], [v
= 2^(1/2), And(1 < u,u < v), x = -u^2+1, And(2*u^2-4 < y,y < 0), z = (u^2-y-1)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265
/1048576], [1048575/1048576, 1]]]], [[10, 13, 6, 3, 5], [v = 2^(1/2), And(1 <
u,u < v), x = -u^2+1, And(2*u^2-4 < y,y < 0), (u^2-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-569265/1048576, -569265/1048576
], [2, 2]]]], [[11, 3, 3, 1, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288
, -915943/524288], [-2, -2], [-3, -3]]]], [[11, 3, 3, 1, 2], [2^(1/2) < v, And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+
v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [-2, -2], [-4059505/
2097152, -16238019/8388608]]]], [[11, 3, 3, 1, 3], [2^(1/2) < v, And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-2, -2], [-3/
16777216, -3/16777216]]]], [[11, 3, 3, 1, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x
-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-\
915943/524288, -915943/524288], [-2, -2], [253719/131072, 2029753/1048576]]]],
[[11, 3, 3, 1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288,
-915943/524288], [-2, -2], [3, 3]]]], [[11, 4, 6, 5, 1], [2^(1/2) < v, u = -(v
^2+1)^(1/2), x = 0, 0 < y, z = z], [regular_chain, [[3, 3], [-3315889/1048576,
-207243/65536], [0, 0], [1, 1], [0, 0]]]], [[11, 9, 2, 5, 1], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,
y < -2*u^2+2*v^2), z = z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-657547/262144, -5260375/2097152], [5793411/2097152, 
5793411/2097152], [0, 0]]]], [[11, 10, 5, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1
/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[
11, 10, 5, 1, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-\
3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1/2, -1/2], [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[11
, 10, 5, 1, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[11, 10, 5, 1,
4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = (-x-y)^
(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2,
-1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[11, 10, 5, 1, 5], [2^
(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [
-4, -4], [4, 4]]]], [[11, 16, 3, 6, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 0)
, y = -x, z < 0], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [
-1, -1]]]], [[11, 16, 3, 6, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = -x
, z = 0], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]]
, [[11, 16, 3, 6, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 17
, 11, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x
-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [2, 2], [-3, -3], [-2, -2]]]], [[11, 17, 11, 3, 2], [2
^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-
v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/
131072], [2, 2], [-3, -3], [-1, -1]]]], [[11, 17, 11, 3, 3], [2^(1/2) < v, And
(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [403851/131072,
403851/131072], [2, 2], [-3, -3], [0, 0]]]], [[11, 17, 11, 3, 4], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1),
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2
, 2], [-3, -3], [1, 1]]]], [[11, 17, 11, 3, 5], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [-3, -3], [2,
2]]]], [[11, 21, 11, 8, 1], [2^(1/2) < v, (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y
= 0, z = z], [regular_chain, [[3, 3], [5, 5], [16, 16], [0, 0], [0, 0]]]], [[1
, 2, 4, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z
= z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1]
, [3/2, 3/2], [0, 0]]]], [[1, 3, 9, 5, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-x < y,y < u^2-v^2-x-1),
z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
1566621/2097152, 1566621/2097152], [-2097155/4194304, -2097155/4194304], [0, 0
]]]], [[1, 8, 3, 1, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1),
y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[1, 8, 3, 1, 2], [v <
-2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)]
, [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/
2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[1, 8, 3, 1, 3], [v < -2
^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-3/2, -3/2], [-2, -2], [0, 0]]]], [[1, 8, 3, 1, 4], [v < -2^(1/2),
u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[-2, -2], [980853/524288, 1961707/1048576]]]], [[1, 8, 3, 1, 5], [v < -2^(1/2)
, u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[-2, -2], [3, 3]]]], [[1, 9, 9, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[395403/524288, 395403/524288], [-1710497/524288, -3420993/1048576], [-3, -3]]
]], [[1, 9, 9, 2, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)
), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-1710497/524288, -3420993/1048576], [-3321417/2097152
, -415177/262144]]]], [[1, 9, 9, 2, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^
2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-22960369
/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-1710497/524288
, -3420993/1048576], [0, 0]]]], [[1, 9, 9, 2, 4], [v < -2^(1/2), And(-(v^2-1)^
(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [395403/524288, 395403/524288], [-1710497/524288, -3420993/1048576],
[415177/262144, 1660709/1048576]]]], [[1, 9, 9, 2, 5], [v < -2^(1/2), And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = u^2-v^2-x-1
, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [-1710497/524288, -3420993/
1048576], [3, 3]]]], [[1, 15, 7, 1, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-516571/2097152
, -516571/2097152], [-3, -3], [-3, -3]]]], [[1, 15, 7, 1, 2], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-516571/2097152, -516571/2097152], [-3, -3], [-1889277/1048576, -7557107/
4194304]]]], [[1, 15, 7, 1, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [-3, -3], [-3/8388608, -3/8388608]]]], [[1,
15, 7, 1, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x
,x < 0), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-516571/2097152, -516571/2097152], [-3, -3
], [472319/262144, 1889277/1048576]]]], [[1, 15, 7, 1, 5], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
516571/2097152, -516571/2097152], [-3, -3], [3, 3]]]], [[1, 17, 4, 2, 1], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1],
[-64673/131072, -517383/1048576], [-3, -3]]]], [[1, 17, 4, 2, 2], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [-\
64673/131072, -517383/1048576], [-1281417/1048576, -160177/131072]]]], [[1, 17
, 4, 2, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2
, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3
], [403851/131072, 403851/131072], [-1, -1], [-64673/131072, -517383/1048576],
[0, 0]]]], [[1, 17, 4, 2, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x
= -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-1, -1], [-64673/131072, -517383/1048576], [160177/
131072, 1281417/1048576]]]], [[1, 17, 4, 2, 5], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-1, -1], [-64673/131072, -517383/
1048576], [3, 3]]]], [[1, 21, 4, 7, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x =
-1, And(1 < y,y < u^2-v^2), z = z], [regular_chain, [[-3, -3], [5, 5], [-1, -1
], [17/2, 17/2], [0, 0]]]], [[2, 1, 7, 3, 1], [v = -2^(1/2), u < -2, And(0 < x
,x < 1), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-9/2, -9/2], [-3, -3]
]]], [[2, 1, 7, 3, 2], [v = -2^(1/2), u < -2, And(0 < x,x < 1), And(-u^2-x+1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [1/2, 1/2], [-9/2, -9/2], [-2, -2]]]], [[2, 1, 7, 3, 3], [v
= -2^(1/2), u < -2, And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288
], [-3, -3], [1/2, 1/2], [-9/2, -9/2], [0, 0]]]], [[2, 1, 7, 3, 4], [v = -2^(1
/2), u < -2, And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-9/
2, -9/2], [2, 2]]]], [[2, 1, 7, 3, 5], [v = -2^(1/2), u < -2, And(0 < x,x < 1)
, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-9/2, -9/2], [3, 3]]]], [[2,
10, 5, 7, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(-x < y,y < 1-x), z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2
], [1, 1], [0, 0]]]], [[2, 11, 10, 5, 1], [v = -2^(1/2), And(0 < u,u < 1), x =
1, And(-1 < y,y < -u^2), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [1, 1], [-5/8, -5/8], [0, 0]]]], [[2, 16, 4, 3, 1], [v =
-2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[2, 16, 4, 3, 2], [v = -2^(1/2
), u = 3^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1
], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[2, 16, 4, 3, 3], [v
= -2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-1, -1], [-1/2, -1/2], [0, 0]]]], [[2, 16, 4, 3, 4]
, [v = -2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1, -1], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[2, 16
, 4, 3, 5], [v = -2^(1/2), u = 3^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[2, 17, 10, 2, 1], [v =
-2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [1, 1], [-912799/262144, -3651195/1048576], [-3, -3]]]], [[2, 17, 10
, 2, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -u^2, z = -(u^2-1)^
(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152,
3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [-825991/524288,
-3303963/2097152]]]], [[2, 17, 10, 2, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2
), x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1,
1], [-912799/262144, -3651195/1048576], [-1/4194304, -1/4194304]]]], [[2, 17,
10, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -u^2, z = (u^2-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152
, 3913339/2097152], [1, 1], [-912799/262144, -3651195/1048576], [1651981/
1048576, 825991/524288]]]], [[2, 17, 10, 2, 5], [v = -2^(1/2), And(3^(1/2) < u
,u < 2), x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [-912799
/262144, -3651195/1048576], [3, 3]]]], [[3, 4, 4, 7, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+1)^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [2,
2], [0, 0]]]], [[3, 5, 10, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2
) < u,u < v), x = 1, y = -1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-1, -1], [-1,
-1]]]], [[3, 5, 10, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), x = 1, y = -1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-1, -1], [0, 0]]]], [
[3, 5, 10, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x
= 1, y = -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1, 1], [-1, -1], [1, 1]]]], [[3, 10, 4, 4
, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y = 0, z < -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1, -1], [0, 0], [-2, -2]]]], [[3, 10, 4, 4, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [0, 0]
, [-1, -1]]]], [[3, 10, 4, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2)
, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1, -1], [0, 0], [0, 0]]]]
, [[3, 10, 4, 4, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y =
0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-1, -1], [0, 0], [1, 1]]]], [[3, 10, 4, 4, 5], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, y = 0, 1 < z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1,
-1], [0, 0], [2, 2]]]], [[3, 11, 10, 3, 1], [And(-2^(1/2) < v,v < -1), And((v^
2-1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z < -(-y-1)^
(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [1, 1], [-8388609/4194304, -8388609/4194304], [-3, -3]]]],
[[3, 11, 10, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v),
x = 1, And(u^2-v^2-2 < y,y < -u^2+v^2-2), z = -(-y-1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1
], [-8388609/4194304, -8388609/4194304], [-1048577/1048576, -1]]]], [[3, 11, 
10, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, 
And(u^2-v^2-2 < y,y < -u^2+v^2-2), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-8388609/4194304, -8388609/4194304], [0, 0]]]], [[3, 11, 10
, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(
u^2-v^2-2 < y,y < -u^2+v^2-2), z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-\
8388609/4194304, -8388609/4194304], [1, 1048577/1048576]]]], [[3, 11, 10, 3, 5
], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(u^2-v^
2-2 < y,y < -u^2+v^2-2), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-8388609/
4194304, -8388609/4194304], [3, 3]]]], [[3, 15, 5, 4, 1], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, z <
-(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[3, 15, 5, 4, 2],
[And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 <
x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[3, 15, 5, 4, 3], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, And(-
(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [0, 0], [0, 0]]]], [[3
, 15, 5, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [0,
0], [741455/1048576, 46341/65536]]]], [[3, 15, 5, 4, 5], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^
(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-1/2, -1/2], [0, 0], [2, 2]]]], [[3, 16, 7, 9, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), 1-x < y, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [2, 2], [0, 0]]]], [[4, 3, 6, 7, 1], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 0, u^2-2 < y, z = z], [regular_chain, [[-1
, -1], [-6598195/4194304, -6598195/4194304], [0, 0], [2, 2], [0, 0]]]], [[4, 5
, 2, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, And(0 < y,y < 2*u^2-2
), z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743
/1048576], [-1527887/1048576, -763943/524288], [958621/2097152, 958621/2097152
], [-3, -3]]]], [[4, 5, 2, 3, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2,
And(0 < y,y < 2*u^2-2), z = -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [
958621/2097152, 958621/2097152], [-1048577/1048576, -1]]]], [[4, 5, 2, 3, 3],
[v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, And(0 < y,y < 2*u^2-2), And(-(u^2
-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [958621/
2097152, 958621/2097152], [0, 0]]]], [[4, 5, 2, 3, 4], [v = -1, And(-2^(1/2) <
u,u < -1), x = -u^2, And(0 < y,y < 2*u^2-2), z = (u^2-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [958621/2097152, 958621/2097152], [1, 1048577/
1048576]]]], [[4, 5, 2, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, 
And(0 < y,y < 2*u^2-2), (u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [
958621/2097152, 958621/2097152], [3, 3]]]], [[4, 11, 7, 3, 1], [v = -1, And(1
< u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z < -(-x-
y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
569265/2097152, -569265/2097152], [-1527887/2097152, -1527887/2097152], [-2, -\
2]]]], [[4, 11, 7, 3, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0
), And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1527887/2097152, -1527887/2097152], [-1, -1]]]], [[4, 11, 7, 3, 3], [v = -1, 
And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), And
(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-1527887/
2097152, -1527887/2097152], [0, 0]]]], [[4, 11, 7, 3, 4], [v = -1, And(1 < u,u
< 2^(1/2)), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2
)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [-1527887/2097152, -1527887/2097152], [1, 1]]]], [[
4, 11, 7, 3, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), And(-u
^2-x < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-1527887/
2097152, -1527887/2097152], [2, 2]]]], [[4, 13, 2, 6, 1], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), x = -u^2, y = 2*u^2-2, z = z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
3092763/1048576, 773191/262144], [0, 0]]]], [[5, 1, 10, 4, 1], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain,
[[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-31/4, -31/4], [-1, -1]]]], [[5, 1, 10
, 4, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -u^2+v^2+1
, z = 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-31/4, -31/4
], [0, 0]]]], [[5, 1, 10, 4, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u
^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [31
/4, 31/4], [-31/4, -31/4], [1, 1]]]], [[5, 3, 4, 2, 1], [And(-1 < v,v < 0), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[-1, -1], [-1534619/1048576, -767309/524288], [-3, -3]]]], [[5, 3, 4, 2, 2], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^
2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144
, -343151/262144], [-1, -1], [-1534619/1048576, -767309/524288], [-3291611/
2097152, -1645805/1048576]]]], [[5, 3, 4, 2, 3], [And(-1 < v,v < 0), And(-(v^2
+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2
) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [-1, -1], [-1534619/1048576, -767309/524288], [0, 0]]]], [[5,
3, 4, 2, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1, -1], [-1534619/1048576, -767309/524288],
[1645805/1048576, 822903/524288]]]], [[5, 3, 4, 2, 5], [And(-1 < v,v < 0), And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/
2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1,
-1], [-1534619/1048576, -767309/524288], [3, 3]]]], [[5, 12, 5, 9, 1], [And(-1
< v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), 1-x < y, z = z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [3, 3], [0, 0]]]], [[5
, 13, 10, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-u^
2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4
], [-31/8, -31/8], [0, 0]]]], [[6, 4, 9, 3, 1], [v = 0, u = -1, 1 < x, And(-x-\
2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2],
[-3, -3], [-2, -2]]]], [[6, 4, 9, 3, 2], [v = 0, u = -1, 1 < x, And(-x-2 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-3, -3]
, [-1, -1]]]], [[6, 4, 9, 3, 3], [v = 0, u = -1, 1 < x, And(-x-2 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1, -1], [
2, 2], [-3, -3], [0, 0]]]], [[6, 4, 9, 3, 4], [v = 0, u = -1, 1 < x, And(-x-2
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-3
, -3], [1, 1]]]], [[6, 4, 9, 3, 5], [v = 0, u = -1, 1 < x, And(-x-2 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-3, -3], [2,
2]]]], [[6, 6, 3, 5, 1], [v = 0, u = 0, And(-1 < x,x < 0), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/4, 1/4],
[-2, -2]]]], [[6, 6, 3, 5, 2], [v = 0, u = 0, And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/4,
1/4], [-1/2, -1/2]]]], [[6, 6, 3, 5, 3], [v = 0, u = 0, And(-1 < x,x < 0), And
(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0,
0], [0, 0], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[6, 6, 3, 5, 4], [v = 0, u =
0, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
0, 0], [0, 0], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[6, 6, 3, 5, 5], [v =
0, u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[7, 1, 4
, 3, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0
), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-35/8,
-35/8], [-4, -4]]]], [[7, 1, 4, 3, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2),
x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [-3, -3], [-1, -1], [-35/8, -35/8], [-151939/65536, -2431023/1048576]]]], [
[7, 1, 4, 3, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 <
y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1/2, 1/2],
[-3, -3], [-1, -1], [-35/8, -35/8], [0, 0]]]], [[7, 1, 4, 3, 4], [And(0 < v,v
< 1), u < -(v^2+2)^(1/2), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-35/8, -35/8], [2431023/
1048576, 151939/65536]]]], [[7, 1, 4, 3, 5], [And(0 < v,v < 1), u < -(v^2+2)^(
1/2), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1/2
, 1/2], [-3, -3], [-1, -1], [-35/8, -35/8], [4, 4]]]], [[7, 2, 6, 6, 1], [And(
0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, y = 1, z = z], [regular_chain, [[1/2,
1/2], [-3/2, -3/2], [0, 0], [1, 1], [0, 0]]]], [[7, 7, 2, 2, 1], [And(0 < v,v
< 1), And(-v < u,u < v), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [0, 0], [-3, -3]]]], [[7, 7,
2, 2, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, y = 0, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [0, 0], [
-146543/131072, -1172343/1048576]]]], [[7, 7, 2, 2, 3], [And(0 < v,v < 1), And
(-v < u,u < v), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^
2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [0, 0], [0, 0
]]]], [[7, 7, 2, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, y
= 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4
], [0, 0], [1172343/1048576, 146543/131072]]]], [[7, 7, 2, 2, 5], [And(0 < v,v
< 1), And(-v < u,u < v), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [0, 0], [3, 3]]]], [[7, 8, 6
, 1, 1], [And(0 < v,v < 1), u = v, x = 1, y < -2, z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-3, -3], [-3, -3]]]], [[7, 8,
6, 1, 2], [And(0 < v,v < 1), u = v, x = 1, y < -2, z = -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[7, 8, 6, 1, 3], [And(0 < v,v < 1), u = v, x = 1, y < -2,
And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1
/2], [1, 1], [-3, -3], [0, 0]]]], [[7, 8, 6, 1, 4], [And(0 < v,v < 1), u = v,
x = 1, y < -2, z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1,
1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[7, 8, 6, 1, 5], [And(0 <
v,v < 1), u = v, x = 1, y < -2, (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2]
, [1/2, 1/2], [1, 1], [-3, -3], [3, 3]]]], [[7, 11, 11, 3, 1], [And(0 < v,v <
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/
262144], [2, 2], [-3388749/1048576, -3388749/1048576], [-3, -3]]]], [[7, 11, 
11, 3, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x,
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[343151/262144, 343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576],
[-1163761/1048576, -72735/65536]]]], [[7, 11, 11, 3, 3], [And(0 < v,v < 1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [343151
/262144, 343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576], [0, 0]]
]], [[7, 11, 11, 3, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [-3388749/1048576, -\
3388749/1048576], [72735/65536, 1163761/1048576]]]], [[7, 11, 11, 3, 5], [And(
0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-\
1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/262144,
343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576], [3, 3]]]], [[7,
13, 4, 4, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = 0, z < -1], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[7, 13, 4,
4, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = 0, z = -1], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [0, 0], [-1, -1]]]], [[7, 13, 4,
4, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = 0, And(-1 < z,z < 1)]
, [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[7, 13, 4
, 4, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = 0, z = 1], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [0, 0], [1, 1]]]], [[7, 13, 4, 4
, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = 0, 1 < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [0, 0], [2, 2]]]], [[8, 4, 1, 4,
1], [v = 1, u = -2^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [regular_chain, [[1
, 1], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-3, -3]]]], [[8,
4, 1, 4, 2], [v = 1, u = -2^(1/2), x < -2, y = -x-2, z = -2^(1/2)], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1],
[-1482911/1048576, -741455/524288]]]], [[8, 4, 1, 4, 3], [v = 1, u = -2^(1/2),
x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [0, 0]]]], [[8, 4, 1, 4, 4
], [v = 1, u = -2^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [741455/524288, 
1482911/1048576]]]], [[8, 4, 1, 4, 5], [v = 1, u = -2^(1/2), x < -2, y = -x-2,
2^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3
, -3], [1, 1], [3, 3]]]], [[8, 5, 7, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1),
And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [-35579/262144, -35579/262144], [-2, -2]]]], [[8, 5, 7, 5,
2], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743
/1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/262144],
[-669095/1048576, -1338189/2097152]]]], [[8, 5, 7, 5, 3], [v = 1, And(-2^(1/2)
< u,u < -1), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [-35579/262144, -35579/262144],
[-1/4194304, -1/4194304]]]], [[8, 5, 7, 5, 4], [v = 1, And(-2^(1/2) < u,u < -1
), And(u^2-2 < x,x < 0), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [-35579/262144, -35579/262144], [334547/524288, 669095/
1048576]]]], [[8, 5, 7, 5, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x
,x < 0), And(u^2-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
35579/262144, -35579/262144], [2, 2]]]], [[8, 12, 2, 2, 1], [v = 1, u = 2^(1/2
), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 
1482911/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[8, 12, 2, 2, 2], [v = 1, u
= 2^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]
]]], [[8, 12, 2, 2, 3], [v = 1, u = 2^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -\
2], [0, 0], [0, 0]]]], [[8, 12, 2, 2, 4], [v = 1, u = 2^(1/2), x = -2, y = 0,
z = 2^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2,
-2], [0, 0], [741455/524288, 1482911/1048576]]]], [[8, 12, 2, 2, 5], [v = 1, u
= 2^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-2, -2], [0, 0], [3, 3]]]], [[8, 13, 8, 1, 1], [v =
1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y < -2*u^2+2, z < -(-u^2-y+2)^(1/2
)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
1048576, 248903/524288], [-4, -4], [-3, -3]]]], [[8, 13, 8, 1, 2], [v = 1, And
(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y < -2*u^2+2, z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/1048576, 
248903/524288], [-4, -4], [-15750169/8388608, -1968771/1048576]]]], [[8, 13, 8
, 1, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y < -2*u^2+2, And(-(
-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-4, -4], [0, 0]]]
], [[8, 13, 8, 1, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = u^2-2, y < -2*
u^2+2, z = (-u^2-y+2)^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [497805/1048576, 248903/524288], [-4, -4], [1968771/1048576,
492193/262144]]]], [[8, 13, 8, 1, 5], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x
= u^2-2, y < -2*u^2+2, (-u^2-y+2)^(1/2) < z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [497805/1048576, 248903/524288], [-4, -4],
[3, 3]]]], [[9, 2, 5, 1, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(
-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-4, -\
4], [-4, -4]]]], [[9, 2, 5, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2)
, And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2],
[-4, -4], [-1112183/524288, -2224365/1048576]]]], [[9, 2, 5, 1, 3], [And(1 < v
,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-4, -4], [0, 0]]]], [[
9, 2, 5, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0)
, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-4, -4], [
2224365/1048576, 1112183/524288]]]], [[9, 2, 5, 1, 5], [And(1 < v,v < 2^(1/2))
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[9, 3, 9, 4, 1], [And(1
< v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 <
x,x < 1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-\
775271/1048576, -775271/1048576], [-1, -1]]]], [[9, 3, 9, 4, 2], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
1), y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-\
775271/1048576, -775271/1048576], [0, 0]]]], [[9, 3, 9, 4, 3], [And(1 < v,v <
2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1)
, y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-\
775271/1048576, -775271/1048576], [1, 1]]]], [[9, 13, 4, 8, 1], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 1, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1,
-1], [1, 1], [-1, -1]]]], [[9, 13, 4, 8, 2], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [1, 1], [0,
0]]]], [[9, 13, 4, 8, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)
), x = -1, y = 1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-1, -1], [1, 1], [1, 1]]]], [[9, 14, 8, 5
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, And(-1 < y,y < 0), z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [1, 1], [-1/2, -1/2], [0, 0]]]], [[10, 1, 7, 9, 1], [v = 2^(1/
2), u < -2, And(0 < x,x < 1), u^2-x-3 < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [7, 7], [0, 0]]]], [[10, 3, 1,
1, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < 0, z < -(-x-y)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [-4, -4], [-1, -1], [-4, -4]]]], [[10, 3, 1, 1, 2], [v = 2^
(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[10, 3, 1
, 1, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < 0, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [-1, -1], [0, 0]]]],
[[10, 3, 1, 1, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < 0,
z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-4, -4], [-1, -1], [2344687/1048576, 
146543/65536]]]], [[10, 3, 1, 1, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x
< -u^2+1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [-1, -1], [4, 4]]]],
[[10, 9, 4, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, -u^2+2 < y, z = z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [
3, 3], [0, 0]]]], [[10, 10, 7, 1, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y
< -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[10, 10, 7, 1, 2], [v = 2^(1/2), u
= 0, And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-5, -5], [-1112183/524288, -\
2224365/1048576]]]], [[10, 10, 7, 1, 3], [v = 2^(1/2), u = 0, And(0 < x,x < 1)
, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-5, -5], [0, 0]]]], [[10, 10,
7, 1, 4], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-5, -5
], [2224365/1048576, 1112183/524288]]]], [[10, 10, 7, 1, 5], [v = 2^(1/2), u =
0, And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-5, -5], [4, 4]]]], [[10, 15, 2
, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -u^2+1, y = u^2-1, z < 0],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [1546381/1048576, 773191/524288]
, [-1, -1]]]], [[10, 15, 2, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -
u^2+1, y = u^2-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [
1546381/1048576, 773191/524288], [0, 0]]]], [[10, 15, 2, 6, 3], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/
524288, -1546381/1048576], [1546381/1048576, 773191/524288], [1, 1]]]], [[10,
16, 5, 6, 1], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[10, 16, 5, 6, 2], [v = 2^(1
/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/2
, 1/2], [0, 0]]]], [[10, 16, 5, 6, 3], [v = 2^(1/2), u = 3^(1/2), And(-1 < x,x
< 0), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[10, 19
, 7, 9, 1], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), u^2-x-3 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [7, 7],
[0, 0]]]], [[11, 1, 9, 8, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x <
u^2-v^2-1), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [-5, -5], [8, 8]
, [7, 7], [0, 0]]]], [[11, 5, 11, 3, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,
u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-3, -3], [-\
2, -2]]]], [[11, 5, 11, 3, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1
< x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-3, -3], [-1, -1]]]], [[
11, 5, 11, 3, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^
2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-3, -3], [0
, 0]]]], [[11, 5, 11, 3, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 <
x, And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [
[3, 3], [-403851/131072, -403851/131072], [2, 2], [-3, -3], [1, 1]]]], [[11, 5
, 11, 3, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2
-x-1 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [2, 2], [-3, -3], [2, 2]]]], [[11, 7, 7, 9, 1]
, [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), -x
< y, z = z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
516571/2097152, -516571/2097152], [2, 2], [0, 0]]]], [[11, 13, 6, 1, 1], [2^(1
/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z < -
(-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0]
, [-4, -4], [-3, -3]]]], [[11, 13, 6, 1, 2], [2^(1/2) < v, And((v^2-2)^(1/2) <
u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-4, -4], [-2, -2]]]], [[11
, 13, 6, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0,
y < u^2-v^2-1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [0, 0], [-4, -4], [0, 0]]]], [[11, 13, 6, 1,
4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2
-1, z = (-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288]
, [0, 0], [-4, -4], [2, 2]]]], [[11, 13, 6, 1, 5], [2^(1/2) < v, And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-4, -4], [3
, 3]]]], [[11, 15, 1, 2, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u
^2-v^2-1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-3, -3], [0, 0], [-3, -3]]]], [[11, 15, 1, 2, 2], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [0, 0],
[-1816187/1048576, -3632373/2097152]]]], [[11, 15, 1, 2, 3], [2^(1/2) < v, And
((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3]
, [0, 0], [-1/4194304, -1/4194304]]]], [[11, 15, 1, 2, 4], [2^(1/2) < v, And((
v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain
, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [0, 0], [908093/
524288, 1816187/1048576]]]], [[11, 15, 1, 2, 5], [2^(1/2) < v, And((v^2-1)^(1/
2) < u,u < v), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3],
[6111549/2097152, 6111549/2097152], [-3, -3], [0, 0], [3, 3]]]], [[11, 19, 5,
9, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x <
0), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 20, 8, 1, 1], [2^(1/2
) < v, u = (v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [
[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-5, -5], [-3, -3]]]], [[11
, 20, 8, 1, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y < -4, z = -(-y-1)^(1
/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-5,
-5], [-2, -2]]]], [[11, 20, 8, 1, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1,
y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [1, 1], [-5, -5], [0, 0]]]], [[11, 20, 8, 1,
4], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-5, -5], [
2, 2]]]], [[11, 20, 8, 1, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y < -4,
(-y-1)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288],
[1, 1], [-5, -5], [3, 3]]]], [[1, 5, 3, 9, 1], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), -x < y, z = z], [regular_chain, [[-\
3, -3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152]
, [3, 3], [0, 0]]]], [[1, 7, 1, 1, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [-1, -1], [-3, -3]]]], [[1, 7, 1
, 1, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [-1, -1], [-2, -2]]]], [[1, 7, 1, 1, 3], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152
], [-3, -3], [-1, -1], [0, 0]]]], [[1, 7, 1, 1, 4], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[
-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [-1, -1], [2, 2]]]],
[[1, 7, 1, 1, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -\
6111549/2097152], [-3, -3], [-1, -1], [3, 3]]]], [[1, 11, 1, 6, 1], [v < -2^(1
/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, y = -x, z < 0],
[regular_chain, [[-3, -3], [0, 0], [-11, -11], [11, 11], [-1, -1]]]], [[1, 11,
1, 6, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^
2-1, y = -x, z = 0], [regular_chain, [[-3, -3], [0, 0], [-11, -11], [11, 11],
[0, 0]]]], [[1, 11, 1, 6, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), x < u^2-v^2-1, y = -x, 0 < z], [regular_chain, [[-3, -3], [0, 0], [-\
11, -11], [11, 11], [1, 1]]]], [[1, 12, 4, 2, 1], [v < -2^(1/2), u = (v^2-2)^(
1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1, -1], [-2, -2], [-3, -3]]]], [[1, 12, 4, 2, 2], [v <
-2^(1/2), u = (v^2-2)^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[
-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [-2, -2], [-1816187/1048576,
-3632373/2097152]]]], [[1, 12, 4, 2, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x =
-1, y = -2, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]],
[[1, 12, 4, 2, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, y = -2, z = 3^(1/
2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [-2,
-2], [908093/524288, 1816187/1048576]]]], [[1, 12, 4, 2, 5], [v < -2^(1/2), u
= (v^2-2)^(1/2), x = -1, y = -2, 3^(1/2) < z], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-1, -1], [-2, -2], [3, 3]]]], [[1, 18, 7, 2, 1]
, [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-5/2,
-5/2], [-3, -3]]]], [[1, 18, 7, 2, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0
< x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-3, -3], [207243/65536,
3315889/1048576], [1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]
]]], [[1, 18, 7, 2, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), y
= -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[1, 18, 7, 2, 4
], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-5/2,
-5/2], [741455/524288, 1482911/1048576]]]], [[1, 18, 7, 2, 5], [v < -2^(1/2),
u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [
[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]]
, [[1, 20, 1, 2, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = 0, z < -(-x
)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -\
4], [0, 0], [-3, -3]]]], [[1, 20, 1, 2, 2], [v < -2^(1/2), u = (v^2+2)^(1/2),
x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576,
1738867/524288], [-4, -4], [0, 0], [-2, -2]]]], [[1, 20, 1, 2, 3], [v < -2^(1/
2), u = (v^2+2)^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [0, 0],
[0, 0]]]], [[1, 20, 1, 2, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = 0,
z = (-x)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288],
[-4, -4], [0, 0], [2, 2]]]], [[1, 20, 1, 2, 5], [v < -2^(1/2), u = (v^2+2)^(1/
2), x < -3, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-4, -4], [0, 0], [3, 3]]]], [[2, 2, 8, 7, 1], [v =
-2^(1/2), u = -2, x = 1, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [1, 1], [1, 1], [0, 0]]]], [[2, 4, 2, 5, 1], [v = -2
^(1/2), u = -3^(1/2), x = -2, 2 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-2, -2], [3,
3], [0, 0]]]], [[2, 7, 8, 7, 1], [v = -2^(1/2), And(v < u,u < -1), x = 0, 0 <
y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[2, 9, 4, 3, 1], [v =
-2^(1/2), And(-1 < u,u < 0), x = -1, And(u^2-2 < y,y < 0), z < -(1-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [
-7/8, -7/8], [-3, -3]]]], [[2, 9, 4, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0),
x = -1, And(u^2-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [-717911/
524288, -1435821/1048576]]]], [[2, 9, 4, 3, 3], [v = -2^(1/2), And(-1 < u,u <
0), x = -1, And(u^2-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [-\
7/8, -7/8], [0, 0]]]], [[2, 9, 4, 3, 4], [v = -2^(1/2), And(-1 < u,u < 0), x =
-1, And(u^2-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [1435821/1048576, 
717911/524288]]]], [[2, 9, 4, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0), x = -1,
And(u^2-2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [3, 3]]]], [[2, 13, 4, 8
, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y = 1, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1,
-1], [1, 1], [-1, -1]]]], [[2, 13, 4, 8, 2], [v = -2^(1/2), And(1 < u,u < -v),
x = -1, y = 1, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1, -1], [1, 1], [0, 0]]]], [[2, 13, 4, 8,
3], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y = 1, 0 < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -\
1], [1, 1], [1, 1]]]], [[2, 15, 1, 9, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x < -u^2+1, -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3, -3], [4, 4], [0, 0]]]], [[3,
1, 8, 8, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, y = u^2-v^2
-2, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [
1, 1], [5812145/1048576, 2906073/524288], [0, 0]]]], [[3, 3, 2, 4, 1], [And(-2
^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1
, y = u^2-v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576],
[2599117/1048576, 1299559/524288], [-1, -1]]]], [[3, 3, 2, 4, 2], [And(-2^(1/2
) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y =
u^2-v^2+1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [
2599117/1048576, 1299559/524288], [0, 0]]]], [[3, 3, 2, 4, 3], [And(-2^(1/2) <
v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2
-v^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [
2599117/1048576, 1299559/524288], [1, 1]]]], [[3, 7, 6, 5, 1], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^
2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [225185/1048576, 225185/1048576], [-2, -2]]]], [[3, 7, 6, 5, 2], [And
(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 <
y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [225185/1048576, 225185/1048576], [-485927/1048576,
-242963/524288]]]], [[3, 7, 6, 5, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^
(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [225185/1048576, 225185/1048576], [0, 0]]]], [[3, 7, 6, 5, 4],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(
0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [225185/1048576, 225185/1048576], [242963/524288, 
485927/1048576]]]], [[3, 7, 6, 5, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u <
-(v^2-1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-450371/1048576, -225185/524288], [225185/1048576, 
225185/1048576], [2, 2]]]], [[3, 9, 2, 1, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [-1, -1], [-3, -3]]]], [[3, 9, 2, 1, 2], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v
^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-1, -1], [-\
3899297/2097152, -7798593/4194304]]]], [[3, 9, 2, 1, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u
^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-1,
-1], [-1/8388608, -1/8388608]]]], [[3, 9, 2, 1, 4], [And(-2^(1/2) < v,v < -1),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z = (-u^2+v^2
-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [
-2576463/1048576, -1288231/524288], [-1, -1], [121853/65536, 1949649/1048576]]
]], [[3, 9, 2, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v
^2-1)^(1/2)), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/
524288], [-1, -1], [3, 3]]]], [[3, 17, 11, 6, 1], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [-1527887/1048576, -763943
/524288], [0, 0]]]], [[4, 2, 3, 2, 1], [v = -1, u = -3^(1/2), And(-3 < x,x < -\
1), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-2, -2], [-1, -1], [-3, -3]]]], [[4, 2, 3, 2, 2], [v = -1,
u = -3^(1/2), And(-3 < x,x < -1), y = -x-3, z = -3^(1/2)], [regular_chain, [[-\
1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [-1816187/
1048576, -3632373/2097152]]]], [[4, 2, 3, 2, 3], [v = -1, u = -3^(1/2), And(-3
< x,x < -1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -\
1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[4, 2, 3, 2, 4], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y =
-x-3, z = 3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[4, 2, 3,
2, 5], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y = -x-3, 3^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1,
-1], [3, 3]]]], [[4, 6, 5, 1, 1], [v = -1, u = -1, And(0 < x,x < 1), y < -1-x,
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3, -3],
[-3, -3]]]], [[4, 6, 5, 1, 2], [v = -1, u = -1, And(0 < x,x < 1), y < -1-x, z
= -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3, -3], [
-3315889/2097152, -207243/131072]]]], [[4, 6, 5, 1, 3], [v = -1, u = -1, And(0
< x,x < 1), y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1, -1], [-1, -1], [1/2, 1/2], [-3, -3], [0, 0]]]], [[4, 6, 5, 1, 4], [v =
-1, u = -1, And(0 < x,x < 1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-\
1, -1], [-1, -1], [1/2, 1/2], [-3, -3], [207243/131072, 1657945/1048576]]]], [
[4, 6, 5, 1, 5], [v = -1, u = -1, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z
], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-3, -3], [3, 3]]]], [[4,
8, 1, 1, 1], [v = -1, u = 0, x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain
, [[-1, -1], [0, 0], [-3, -3], [-1, -1], [-3, -3]]]], [[4, 8, 1, 1, 2], [v = -\
1, u = 0, x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0]
, [-3, -3], [-1, -1], [-2, -2]]]], [[4, 8, 1, 1, 3], [v = -1, u = 0, x < -2, y
< 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [0,
0], [-3, -3], [-1, -1], [0, 0]]]], [[4, 8, 1, 1, 4], [v = -1, u = 0, x < -2, y
< 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [-1, -1],
[2, 2]]]], [[4, 8, 1, 1, 5], [v = -1, u = 0, x < -2, y < 0, (-x-y)^(1/2) < z],
[regular_chain, [[-1, -1], [0, 0], [-3, -3], [-1, -1], [3, 3]]]], [[4, 14, 4,
3, 1], [v = -1, u = 3^(1/2), x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [-1, -1]
, [-3, -3]]]], [[4, 14, 4, 3, 2], [v = -1, u = 3^(1/2), x = -1, And(-2 < y,y <
0), z = -(1-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1, -1], [-1, -1], [-1482911/1048576, -741455/524288]]]], [[4, 14,
4, 3, 3], [v = -1, u = 3^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) <
z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1, -1], [-1, -1], [0, 0]]]], [[4, 14, 4, 3, 4], [v = -1, u = 3^(1/
2), x = -1, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/
1048576]]]], [[4, 14, 4, 3, 5], [v = -1, u = 3^(1/2), x = -1, And(-2 < y,y < 0
), (1-y)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-1, -1], [-1, -1], [3, 3]]]], [[4, 15, 8, 8, 1], [v = -1, 3^(1/2) <
u, x = 1, y = u^2-3, z = z], [regular_chain, [[-1, -1], [3, 3], [1, 1], [6, 6]
, [0, 0]]]], [[5, 4, 7, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 <
x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[5, 4, 7, 2
, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z =
-2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[1/2, 1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[5, 4, 7, 2,
3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2
^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[5, 4, 7, 2, 4], [And(
-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[5, 4, 7, 2, 5], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[-5/2, -5/2], [3, 3]]]], [[5, 6, 1, 2, 1], [And(-1 < v,v < 0), u = v, x < -1,
y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2]
, [0, 0], [-3, -3]]]], [[5, 6, 1, 2, 2], [And(-1 < v,v < 0), u = v, x < -1, y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2],
[0, 0], [-1482911/1048576, -741455/524288]]]], [[5, 6, 1, 2, 3], [And(-1 < v,v
< 0), u = v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [0, 0], [0, 0]]]], [[5,
6, 1, 2, 4], [And(-1 < v,v < 0), u = v, x < -1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [0, 0], [741455/524288,
1482911/1048576]]]], [[5, 6, 1, 2, 5], [And(-1 < v,v < 0), u = v, x < -1, y =
0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [0,
0], [3, 3]]]], [[5, 9, 9, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1
/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2],
[-3994043/2097152, -15976171/8388608], [-3, -3]]]], [[5, 9, 9, 2, 2], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608], [-19417/
16384, -1242687/1048576]]]], [[5, 9, 9, 2, 3], [And(-1 < v,v < 0), And(-v < u,
u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152,
1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608], [0, 0]]]]
, [[5, 9, 9, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 <
x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1
/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-3994043/2097152, -\
15976171/8388608], [1242687/1048576, 19417/16384]]]], [[5, 9, 9, 2, 5], [And(-\
1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y = -u^2+v^2-x-\
1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-3994043/2097152, -15976171/8388608], [3, 3]]]]
, [[5, 11, 4, 5, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2
], [343151/262144, 343151/262144], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[5, 11,
4, 5, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1
, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/
1048576]]]], [[5, 11, 4, 5, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [
1/2, 1/2], [0, 0]]]], [[5, 11, 4, 5, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [1/2,
1/2], [741455/1048576, 46341/65536]]]], [[5, 11, 4, 5, 5], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2
) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1
], [1/2, 1/2], [2, 2]]]], [[6, 2, 1, 3, 1], [v = 0, u = -2^(1/2), x < -3, And(
0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[6, 2, 1, 3, 2],
[v = 0, u = -2^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [1/2, 1/
2], [-7846825/4194304, -980853/524288]]]], [[6, 2, 1, 3, 3], [v = 0, u = -2^(1
/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [1/2, 1/
2], [0, 0]]]], [[6, 2, 1, 3, 4], [v = 0, u = -2^(1/2), x < -3, And(0 < y,y < -
x-3), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-4, -4], [1/2, 1/2], [980853/524288, 1961707/1048576]]]], [[6, 2, 1,
3, 5], [v = 0, u = -2^(1/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [1/2, 1/
2], [3, 3]]]], [[6, 3, 5, 8, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,
x < 0), y = u^2-x-1, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [501799/524288, 1003599/1048576], [0, 0]]]], [
[6, 9, 9, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), And(-u^
2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [-8208699/
4194304, -8208699/4194304], [-3, -3]]]], [[6, 9, 9, 3, 2], [v = 0, And(1 < u,u
< 2^(1/2)), And(u^2-1 < x,x < 1), And(-u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/
2097152, 1527887/2097152], [-8208699/4194304, -8208699/4194304], [-1162243/
1048576, -581121/524288]]]], [[6, 9, 9, 3, 3], [v = 0, And(1 < u,u < 2^(1/2)),
And(u^2-1 < x,x < 1), And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
1527887/2097152, 1527887/2097152], [-8208699/4194304, -8208699/4194304], [0, 0
]]]], [[6, 9, 9, 3, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1),
And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [1265743
/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [-8208699/
4194304, -8208699/4194304], [581121/524288, 1162243/1048576]]]], [[6, 9, 9, 3,
5], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), And(-u^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [1527887/2097152, 1527887/2097152], [-8208699/4194304, -8208699/
4194304], [3, 3]]]], [[6, 11, 2, 6, 1], [v = 0, 2^(1/2) < u, x = -u^2-1, y = 2
*u^2, z = z], [regular_chain, [[0, 0], [3, 3], [-10, -10], [18, 18], [0, 0]]]]
, [[7, 3, 10, 6, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [1, 1], [-281267/524288, -1125067/2097152], [0, 0]]]]
, [[7, 5, 5, 9, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1
< x,x < u^2-v^2-1), -x < y, z = z], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [2, 2], [0,
0]]]], [[8, 1, 6, 3, 1], [v = 1, u < -3^(1/2), x = 0, And(-u^2 < y,y < 0), z <
-(-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [0, 0], [-9/2, -9/2], [-4, -4
]]]], [[8, 1, 6, 3, 2], [v = 1, u < -3^(1/2), x = 0, And(-u^2 < y,y < 0), z =
-(-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [0, 0], [-9/2, -9/2], [-\
1112183/524288, -2224365/1048576]]]], [[8, 1, 6, 3, 3], [v = 1, u < -3^(1/2),
x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [-3, -3], [0, 0], [-9/2, -9/2], [0, 0]]]], [[8, 1, 6,
3, 4], [v = 1, u < -3^(1/2), x = 0, And(-u^2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1, 1], [-3, -3], [0, 0], [-9/2, -9/2], [2224365/1048576, 
1112183/524288]]]], [[8, 1, 6, 3, 5], [v = 1, u < -3^(1/2), x = 0, And(-u^2 <
y,y < 0), (-y)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [0, 0], [-9/2, -\
9/2], [4, 4]]]], [[8, 2, 8, 4, 1], [v = 1, u = -3^(1/2), x = 1, y = -1, z < 0]
, [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [-1,
-1], [-1, -1]]]], [[8, 2, 8, 4, 2], [v = 1, u = -3^(1/2), x = 1, y = -1, z = 0
], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [-1,
-1], [0, 0]]]], [[8, 2, 8, 4, 3], [v = 1, u = -3^(1/2), x = 1, y = -1, 0 < z],
[regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [-1, -1
], [1, 1]]]], [[8, 7, 4, 2, 1], [v = 1, And(-1 < u,u < 0), x = -1, y = u^2-1,
z < -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-3/4,
-3/4], [-3, -3]]]], [[8, 7, 4, 2, 2], [v = 1, And(-1 < u,u < 0), x = -1, y = u
^2-1, z = -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [
-3/4, -3/4], [-10837/8192, -1387135/1048576]]]], [[8, 7, 4, 2, 3], [v = 1, And
(-1 < u,u < 0), x = -1, y = u^2-1, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))
], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-3/4, -3/4], [0, 0]]]], [
[8, 7, 4, 2, 4], [v = 1, And(-1 < u,u < 0), x = -1, y = u^2-1, z = (-u^2+2)^(1
/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-3/4, -3/4], [1387135/
1048576, 10837/8192]]]], [[8, 7, 4, 2, 5], [v = 1, And(-1 < u,u < 0), x = -1,
y = u^2-1, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1
], [-3/4, -3/4], [3, 3]]]], [[8, 8, 7, 6, 1], [v = 1, u = 0, And(0 < x,x < 1),
y = 0, z = z], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2], [0, 0], [0, 0]]]],
[[8, 15, 1, 2, 1], [v = 1, 3^(1/2) < u, x < -u^2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [0, 0], [-5, -5]]]], [[8, 15, 1, 2
, 2], [v = 1, 3^(1/2) < u, x < -u^2, y = 0, z = -(-x)^(1/2)], [regular_chain,
[[1, 1], [3, 3], [-10, -10], [0, 0], [-3315889/1048576, -207243/65536]]]], [[8
, 15, 1, 2, 3], [v = 1, 3^(1/2) < u, x < -u^2, y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[1, 1], [3, 3], [-10, -10], [0, 0], [0, 0]]]],
[[8, 15, 1, 2, 4], [v = 1, 3^(1/2) < u, x < -u^2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [0, 0], [207243/65536, 3315889/
1048576]]]], [[8, 15, 1, 2, 5], [v = 1, 3^(1/2) < u, x < -u^2, y = 0, (-x)^(1/
2) < z], [regular_chain, [[1, 1], [3, 3], [-10, -10], [0, 0], [5, 5]]]], [[9,
1, 3, 3, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [-15818595/8388608, -15818595/8388608], [-4, -4]]]], [[9, 1, 3, 3, 2
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), 
And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [
-15818595/8388608, -15818595/8388608], [-2705483/1048576, -5410965/2097152]]]]
, [[9, 1, 3, 3, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-\
1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/8388608],
[-1/4194304, -1/4194304]]]], [[9, 1, 3, 3, 4], [And(1 < v,v < 2^(1/2)), u < -(
v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x
-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/8388608],
[1352741/524288, 2705483/1048576]]]], [[9, 1, 3, 3, 5], [And(1 < v,v < 2^(1/2)
), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0)
, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3,
-3], [-10006449/2097152, -10006449/2097152], [-15818595/8388608, -15818595/
8388608], [4, 4]]]], [[9, 5, 4, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [-122559/524288, -122559/524288], [-3, -3]]]], [[9
, 5, 4, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1
, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [-\
122559/524288, -122559/524288], [-1164705/1048576, -36397/32768]]]], [[9, 5, 4
, 3, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(
-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1,
-1], [-122559/524288, -122559/524288], [0, 0]]]], [[9, 5, 4, 3, 4], [And(1 < v
,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 0)
, z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [-122559/524288, -122559/524288]
, [36397/32768, 1164705/1048576]]]], [[9, 5, 4, 3, 5], [And(1 < v,v < 2^(1/2))
, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2)
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-1, -1], [-122559/524288, -122559/524288], [3, 3]]]], [[9,
6, 7, 7, 1], [And(1 < v,v < 2^(1/2)), u = -v, 1 < x, 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-1265743/1048576, -\
1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[9, 10, 2, 3, 1], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [1, 1], [-2, -2]]]], [[9, 10, 2, 3, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [1, 1], [-1, -1]]]], [[9, 10, 2, 3, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (
2-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-2, -2], [1, 1], [0, 0]]]], [[9, 10, 2, 3, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z = (2-y)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-2, -2], [1, 1], [1, 1]]]], [[9, 10, 2, 3, 5], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [1, 1], [2, 2]]]], [[9, 11, 8, 2, 1], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [0, 0], [-1646781/1048576, -3293561/2097152], [-3, -3]]]], [[
9, 11, 8, 2, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0,
y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-1646781/1048576,
-3293561/2097152], [-1314069/1048576, -328517/262144]]]], [[9, 11, 8, 2, 3], [
And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, 
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [
-1646781/1048576, -3293561/2097152], [0, 0]]]], [[9, 11, 8, 2, 4], [And(1 < v,
v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, z = (-u^2+v^
2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [0, 0], [-1646781/1048576, -3293561/2097152], [
328517/262144, 1314069/1048576]]]], [[9, 11, 8, 2, 5], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = 0, y = u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [0, 0], [-1646781/1048576, -3293561/2097152], [3, 3]]]], [[9, 16, 1,
7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, And(-x < y,y < 1-x)
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536,
1949649/1048576], [-4, -4], [9/2, 9/2], [0, 0]]]], [[9, 17, 5, 8, 1], [And(1 <
v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z],
[regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [
7385009/1048576, 3692505/524288], [0, 0]]]], [[10, 6, 2, 4, 1], [v = 2^(1/2),
u = -v, x = -1, y = 1, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-1, -1], [1, 1], [-1, -1]]]], [
[10, 6, 2, 4, 2], [v = 2^(1/2), u = -v, x = -1, y = 1, z = 0], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1
], [1, 1], [0, 0]]]], [[10, 6, 2, 4, 3], [v = 2^(1/2), u = -v, x = -1, y = 1,
0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576,
-741455/524288], [-1, -1], [1, 1], [1, 1]]]], [[10, 7, 10, 1, 1], [v = 2^(1/2)
, And(-v < u,u < -1), x = 1, y < u^2-4, z < -(-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1, 1],
[-4, -4], [-3, -3]]]], [[10, 7, 10, 1, 2], [v = 2^(1/2), And(-v < u,u < -1), x
= 1, y < u^2-4, z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1, 1], [-4, -4], [-1816187/
1048576, -3632373/2097152]]]], [[10, 7, 10, 1, 3], [v = 2^(1/2), And(-v < u,u
< -1), x = 1, y < u^2-4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[10, 7, 10, 1, 4], [
v = 2^(1/2), And(-v < u,u < -1), x = 1, y < u^2-4, z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[10, 7, 10,
1, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 1, y < u^2-4, (-y-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743
/1048576], [1, 1], [-4, -4], [3, 3]]]], [[10, 11, 11, 1, 1], [v = 2^(1/2), And
(0 < u,u < 1), 1 < x, y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-6, -6], [-3, -3]]]], [[
10, 11, 11, 1, 2], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y < u^2-x-3, z = -(-
x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2
, 2], [-6, -6], [-2, -2]]]], [[10, 11, 11, 1, 3], [v = 2^(1/2), And(0 < u,u <
1), 1 < x, y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-6, -6]
, [0, 0]]]], [[10, 11, 11, 1, 4], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y < u
^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[1/2, 1/2], [2, 2], [-6, -6], [2, 2]]]], [[10, 11, 11, 1, 5], [v = 2^(1/2), 
And(0 < u,u < 1), 1 < x, y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-6, -6], [3, 3]]]], [[10
, 13, 5, 9, 1], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), -x < y
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [0, 0]]]], [[
11, 3, 3, 2, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288,
-915943/524288], [-1566621/2097152, -391655/524288], [-3, -3]]]], [[11, 3, 3,
2, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-\
1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-\
1566621/2097152, -391655/524288], [-1655969/1048576, -3311937/2097152]]]], [[
11, 3, 3, 2, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2
-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576]
, [-915943/524288, -915943/524288], [-1566621/2097152, -391655/524288], [-1/
4194304, -1/4194304]]]], [[11, 3, 3, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576],
[-915943/524288, -915943/524288], [-1566621/2097152, -391655/524288], [51749/
32768, 1655969/1048576]]]], [[11, 3, 3, 2, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-
v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [-1566621/2097152, -391655/524288]
, [3, 3]]]], [[11, 4, 6, 2, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, y = -\
2, z < -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[0, 0], [-2, -2], [-3, -3]]]], [[11, 4, 6, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(
1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576
, -207243/65536], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[
11, 4, 6, 2, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, y = -2, And(-2^(1/2)
< z,z < 2^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[0, 0], [-2, -2], [0, 0]]]], [[11, 4, 6, 2, 4], [2^(1/2) < v, u = -(v^2+1)^(1/
2), x = 0, y = -2, z = 2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[11, 4,
6, 2, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0], [-2, -2], [
3, 3]]]], [[11, 9, 3, 1, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)
^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-2, -2], [-3, -3]]]], [[11, 9, 3, 1, 2], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y
< u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-2, -2], [-\
32507003/16777216, -16253501/8388608]]]], [[11, 9, 3, 1, 3], [2^(1/2) < v, And
(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^
2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-\
2, -2], [-5/16777216, -5/16777216]]]], [[11, 9, 3, 1, 4], [2^(1/2) < v, And(-(
v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x
-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [-2, -2], [2031687/1048576, 
253961/131072]]]], [[11, 9, 3, 1, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u <
-(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [-2, -2], [3, 3]]]], [[11, 10, 4, 9, 1], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1, -1], [3, 3], [0, 0]]]], [[11, 16, 3,
7, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 0), -x < y, z = z], [regular_chain,
[[3, 3], [3, 3], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 17, 10, 9, 1], [2^(1/2
) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[3
, 3], [403851/131072, 403851/131072], [1, 1], [1, 1], [0, 0]]]], [[1, 2, 4, 6,
1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = 1, z < 0], [regular_chain,
[[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [1, 1], [-1, -1]]]],
[[1, 2, 4, 6, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [1, 1
], [0, 0]]]], [[1, 2, 4, 6, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y =
1, 0 < z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1
, -1], [1, 1], [1, 1]]]], [[1, 3, 9, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-1566621/2097152, -1566621/2097152], [-1, -1]]]],
[[1, 3, 9, 4, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(u^2-v^2-1 < x,x < 1), y = -x, z = 0], [regular_chain, [[-3, -3], [-3396811
/1048576, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-1566621/
2097152, -1566621/2097152], [0, 0]]]], [[1, 3, 9, 4, 3], [v < -2^(1/2), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -x, 0 < z]
, [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-1566621/2097152, -1566621/2097152], [1, 1]]]], [[
1, 8, 3, 2, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-\
2, z < -2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-3/2, -3/2], [-1/2, -1/2], [-3, -3]]]], [[1, 8, 3, 2, 2], [v < -2^(
1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[-1/2, -1/2], [-1482911/1048576, -741455/524288]]]], [[1, 8, 3, 2, 3], [v < -2
^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z <
2^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [
-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[1, 8, 3, 2, 4], [v < -2^(1/2), u = -(v
^2-1)^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [-1/2, -1/2], [
741455/524288, 1482911/1048576]]]], [[1, 8, 3, 2, 5], [v < -2^(1/2), u = -(v^2
-1)^(1/2), And(-2 < x,x < -1), y = -x-2, 2^(1/2) < z], [regular_chain, [[-3, -\
3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]
]], [[1, 9, 9, 3, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)
), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-4211799/2097152, -4211799/2097152], [-3, -3]]]], [[1
, 9, 9, 3, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(
-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-4211799/2097152, -4211799/2097152], [-587149/524288,
-1174297/1048576]]]], [[1, 9, 9, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-\
4211799/2097152, -4211799/2097152], [0, 0]]]], [[1, 9, 9, 3, 4], [v < -2^(1/2)
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(u
^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288], [-\
4211799/2097152, -4211799/2097152], [1174297/1048576, 587149/524288]]]], [[1,
9, 9, 3, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u
^2+v^2-1 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-4211799/2097152, -4211799/2097152], [3, 3]]]], [[1,
15, 6, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, u^
2-v^2+1 < y, z = z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [2, 2], [0, 0]]]], [[1, 17, 4, 1,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(
1-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -\
1], [-2, -2], [-3, -3]]]], [[1, 17, 4, 1, 2], [v < -2^(1/2), And(-v < u,u < (v
^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[-3, -\
3], [403851/131072, 403851/131072], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 17, 4, 1, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-1, -1], [-2, -2],
[-1/4194304, -1/4194304]]]], [[1, 17, 4, 1, 4], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[1, 17, 4, 1, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-1, -1], [-2, -2], [3, 3]]]], [[1, 21, 4, 8, 1
], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = u^2-v^2, z = z], [
regular_chain, [[-3, -3], [5, 5], [-1, -1], [16, 16], [0, 0]]]], [[2, 1, 7, 4,
1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [-1, -\
1]]]], [[2, 1, 7, 4, 2], [v = -2^(1/2), u < -2, And(0 < x,x < 1), y = -x, z =
0], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2],
[-1/2, -1/2], [0, 0]]]], [[2, 1, 7, 4, 3], [v = -2^(1/2), u < -2, And(0 < x,x
< 1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3
, -3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[2, 10, 5, 6, 1], [v = -2^(1/2),
u = 0, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 10, 5, 6,
2], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]
], [[2, 10, 5, 6, 3], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [1/
2, 1/2], [1, 1]]]], [[2, 11, 10, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 1
, y = -1, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1
/2], [1, 1], [-1, -1], [-1, -1]]]], [[2, 11, 10, 4, 2], [v = -2^(1/2), And(0 <
u,u < 1), x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [1, 1], [-1, -1], [0, 0]]]], [[2, 11, 10, 4, 3], [v = -2^
(1/2), And(0 < u,u < 1), x = 1, y = -1, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [1, 1], [-1, -1], [1, 1]]]], [[2, 16, 4,
4, 1], [v = -2^(1/2), u = 3^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1],
[0, 0], [-2, -2]]]], [[2, 16, 4, 4, 2], [v = -2^(1/2), u = 3^(1/2), x = -1, y
= 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[2, 16, 4, 4, 3], [v
= -2^(1/2), u = 3^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[
-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1],
[0, 0], [0, 0]]]], [[2, 16, 4, 4, 4], [v = -2^(1/2), u = 3^(1/2), x = -1, y =
0, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288
, 1816187/1048576], [-1, -1], [0, 0], [1, 1]]]], [[2, 16, 4, 4, 5], [v = -2^(1
/2), u = 3^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [-1, -1], [0, 0], [2, 2]]]],
[[2, 17, 10, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(-u^2 < y
,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [1, 1], [-4699771/2097152, -\
4699771/2097152], [-3, -3]]]], [[2, 17, 10, 3, 2], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1]
, [-4699771/2097152, -4699771/2097152], [-4563/4096, -1168127/1048576]]]], [[2
, 17, 10, 3, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(-u^2 < y,y
< -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [-\
4699771/2097152, -4699771/2097152], [0, 0]]]], [[2, 17, 10, 3, 4], [v = -2^(1/
2), And(3^(1/2) < u,u < 2), x = 1, And(-u^2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [1, 1], [-4699771/2097152, -4699771/2097152], [1168127/1048576, 4563
/4096]]]], [[2, 17, 10, 3, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, 
And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [-4699771/2097152,
-4699771/2097152], [3, 3]]]], [[3, 4, 4, 6, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [1, 1], [-1, -\
1]]]], [[3, 4, 4, 6, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1
, y = 1, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1, -1], [1, 1], [0, 0]]]], [[3, 4, 4, 6, 3
], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = 1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [1, 1], [1, 1]]]], [[3, 5, 10, 5, 1], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1)
, z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [1, 1], [-2655491/2097152, -2655491/
2097152], [-2, -2]]]], [[3, 5, 10, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2
+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2655491/2097152, -2655491/2097152], [-270523/
524288, -1082091/2097152]]]], [[3, 5, 10, 5, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(
1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-2655491/2097152, -\
2655491/2097152], [-1/4194304, -1/4194304]]]], [[3, 5, 10, 5, 4], [And(-2^(1/2
) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1)
, z = (-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1, 1], [-2655491/2097152, -2655491/
2097152], [541045/1048576, 270523/524288]]]], [[3, 5, 10, 5, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, And(u^2-v^2-2 < y,y < -1),
(-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1, 1], [-2655491/2097152, -2655491/
2097152], [2, 2]]]], [[3, 10, 4, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[1/2, 1/2], [-2, -2]]]], [[3, 10, 4, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^
2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[3, 10, 4, 5, 3], [And(-2
^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1
/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]], [[
3, 10, 4, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = -1, And(0 <
y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-1, -1], [1/2, 1/2], [741455/
1048576, 46341/65536]]]], [[3, 10, 4, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v
^2-1)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1, -1],
[1/2, 1/2], [2, 2]]]], [[3, 11, 10, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-374737/262144, -1498947/1048576], [-2, -2]]]], [[3, 11, 10
, 4, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y =
-u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [1, 1], [-374737/262144, -\
1498947/1048576], [-1374407/2097152, -687203/1048576]]]], [[3, 11, 10, 4, 3],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-\
2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[-374737/262144, -1498947/1048576], [0, 0]]]], [[3, 11, 10, 4, 4], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, z = (u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341
/1048576, 987341/1048576], [1, 1], [-374737/262144, -1498947/1048576], [687203
/1048576, 171801/262144]]]], [[3, 11, 10, 4, 5], [And(-2^(1/2) < v,v < -1), 
And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [1, 1], [-374737/262144, -1498947/1048576], [2, 2]]]], [[3, 15, 5,
5, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/
2], [1/4, 1/4], [-2, -2]]]], [[3, 15, 5, 5, 2], [And(-2^(1/2) < v,v < -1), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[3,
15, 5, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 15, 5, 5, 4], [And(-
2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x <
0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [1/4, 1/4], [
1/2, 1/2]]]], [[3, 15, 5, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[3, 16, 8, 1, 1], [And(-
2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1, 1], [-5, -5], [-3, -3]]]], [[3, 16, 8, 1, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2+2)^(1/2), x = 1, y < -4, z = -(-y-1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1]
, [-5, -5], [-2, -2]]]], [[3, 16, 8, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^
2+2)^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1, 1], [-5, -5], [0, 0]]]], [[3, 16, 8, 1, 4], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x = 1, y < -4, z = (-y-1)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1, 1],
[-5, -5], [2, 2]]]], [[3, 16, 8, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)
^(1/2), x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [121853/65536, 1949649/1048576], [1, 1], [-5, -5], [3, 3]]]
], [[4, 3, 6, 6, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = u^2-2
, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [0,
0], [248903/524288, 497807/1048576], [0, 0]]]], [[4, 5, 2, 2, 1], [v = -1, And
(-2^(1/2) < u,u < -1), x = -u^2, y = 0, z < u], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0]
, [-3, -3]]]], [[4, 5, 2, 2, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2,
y = 0, z = u], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [-1527887/1048576, -763943/524288], [0, 0], [-1265743/1048576, -1265743/
1048576]]]], [[4, 5, 2, 2, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y
= 0, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [0, 0], [0, 0]]]], [[4,
5, 2, 2, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 0, z = -u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [0, 0], [1265743/1048576, 1265743/1048576]]]], [[4,
5, 2, 2, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 0, -u < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [0, 0], [3, 3]]]], [[4, 11, 7, 4, 1], [v = -1, And(1
< u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152
, -569265/2097152], [-284633/1048576, -35579/131072], [-2, -2]]]], [[4, 11, 7,
4, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = u^2-x-2, z =
-(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579/131072], [-\
772605/1048576, -1545209/2097152]]]], [[4, 11, 7, 4, 3], [v = -1, And(1 < u,u
< 2^(1/2)), And(u^2-2 < x,x < 0), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u
^2+2)^(1/2))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576],
[-569265/2097152, -569265/2097152], [-284633/1048576, -35579/131072], [-1/
4194304, -1/4194304]]]], [[4, 11, 7, 4, 4], [v = -1, And(1 < u,u < 2^(1/2)), 
And(u^2-2 < x,x < 0), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [
-284633/1048576, -35579/131072], [193151/262144, 772605/1048576]]]], [[4, 11,
7, 4, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = u^2-x-2,
(-u^2+2)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579/131072]
, [2, 2]]]], [[4, 13, 2, 7, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^
2, 2*u^2-2 < y, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1297479/524288, -2594957/1048576], [4, 4], [0, 0]]]], [[5, 1, 10,
3, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2
< y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-3, -3], [31/4, 31/4], [-101/8, -101/8], [-4, -4]]]], [[5, 1, 10, 3, 2], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y <
-u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -\
3], [31/4, 31/4], [-101/8, -101/8], [-1157597/524288, -2315193/1048576]]]], [[
5, 1, 10, 3, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2
*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+
1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-101/8, -\
101/8], [0, 0]]]], [[5, 1, 10, 3, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2),
x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-101/8, -101/8], [
2315193/1048576, 1157597/524288]]]], [[5, 1, 10, 3, 5], [And(-1 < v,v < 0), u
< -(v^2+2)^(1/2), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v
^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-\
101/8, -101/8], [4, 4]]]], [[5, 3, 4, 1, 1], [And(-1 < v,v < 0), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [-3,
-3], [-3, -3]]]], [[5, 3, 4, 1, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [-3, -3], [-2, -2]]
]], [[5, 3, 4, 1, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [-3,
-3], [0, 0]]]], [[5, 3, 4, 1, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [-3, -3], [2, 2]]]], [
[5, 3, 4, 1, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1, -1], [-3, -3], [3, 3]]]], [[5, 12, 6, 1,
1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-4, -4], [-3, -3]]]], [[5,
12, 6, 1, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, y < -3, z = -(-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [-4, -4], [-2, -2]]
]], [[5, 12, 6, 1, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, y < -3, 
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2
], [0, 0], [-4, -4], [0, 0]]]], [[5, 12, 6, 1, 4], [And(-1 < v,v < 0), u = (v^
2+2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/
2, 3/2], [0, 0], [-4, -4], [2, 2]]]], [[5, 12, 6, 1, 5], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2]
, [3/2, 3/2], [0, 0], [-4, -4], [3, 3]]]], [[5, 13, 10, 6, 1], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[-1/2, -\
1/2], [3, 3], [31/4, 31/4], [0, 0], [0, 0]]]], [[6, 4, 9, 2, 1], [v = 0, u = -\
1, 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2],
[-4, -4], [-3, -3]]]], [[6, 4, 9, 2, 2], [v = 0, u = -1, 1 < x, y = -x-2, z =
-2^(1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-4, -4], [-1482911/
1048576, -741455/524288]]]], [[6, 4, 9, 2, 3], [v = 0, u = -1, 1 < x, y = -x-2
, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[0, 0], [-1, -1], [2, 2], [
-4, -4], [0, 0]]]], [[6, 4, 9, 2, 4], [v = 0, u = -1, 1 < x, y = -x-2, z = 2^(
1/2)], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-4, -4], [741455/524288, 
1482911/1048576]]]], [[6, 4, 9, 2, 5], [v = 0, u = -1, 1 < x, y = -x-2, 2^(1/2
) < z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [-4, -4], [3, 3]]]], [[6, 6
, 3, 4, 1], [v = 0, u = 0, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[6, 6, 3,
4, 2], [v = 0, u = 0, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[6, 6, 3, 4, 3], [v = 0, u = 0, And(-1 < x,x < 0), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [0, 0], [-1/2,
-1/2], [0, 0], [0, 0]]]], [[6, 6, 3, 4, 4], [v = 0, u = 0, And(-1 < x,x < 0),
y = 0, z = (-x)^(1/2)], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [0, 0],
[741455/1048576, 46341/65536]]]], [[6, 6, 3, 4, 5], [v = 0, u = 0, And(-1 < x,
x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2],
[0, 0], [2, 2]]]], [[7, 1, 4, 4, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x
= -1, y = 0, z < -1], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [0, 0],
[-2, -2]]]], [[7, 1, 4, 4, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1,
y = 0, z = -1], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [0, 0], [-1,
-1]]]], [[7, 1, 4, 4, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y = 0
, And(-1 < z,z < 1)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [0, 0],
[0, 0]]]], [[7, 1, 4, 4, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y
= 0, z = 1], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [0, 0], [1, 1]]]
], [[7, 1, 4, 4, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y = 0, 1 <
z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [0, 0], [2, 2]]]], [[7, 2
, 6, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, 1 < y, z = z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [2, 2], [0, 0]]]], [[7, 7, 2
, 1, 1], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, y < 0, z < -(-u^
2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [-1, -1]
, [-3, -3]]]], [[7, 7, 2, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v), x = u^2
-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0]
, [-5/4, -5/4], [-1, -1], [-3/2, -3/2]]]], [[7, 7, 2, 1, 3], [And(0 < v,v < 1)
, And(-v < u,u < v), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (
-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [-1,
-1], [0, 0]]]], [[7, 7, 2, 1, 4], [And(0 < v,v < 1), And(-v < u,u < v), x = u^
2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0]
, [-5/4, -5/4], [-1, -1], [3/2, 3/2]]]], [[7, 7, 2, 1, 5], [And(0 < v,v < 1),
And(-v < u,u < v), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [-1, -1], [3, 3]]]], [[7, 8,
5, 7, 1], [And(0 < v,v < 1), u = v, And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0]]]], [[7, 11
, 11, 2, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [2, 2], [-4680347/1048576, -2340173/524288], [-\
3, -3]]]], [[7, 11, 11, 2, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [-4680347/1048576, -\
2340173/524288], [-3291611/2097152, -1645805/1048576]]]], [[7, 11, 11, 2, 3],
[And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v
^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[
1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [-4680347/1048576, -2340173
/524288], [0, 0]]]], [[7, 11, 11, 2, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [2, 2], [-4680347/
1048576, -2340173/524288], [1645805/1048576, 822903/524288]]]], [[7, 11, 11, 2
, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y =
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [2, 2], [-4680347/1048576, -2340173/524288], [3, 3]]]]
, [[7, 13, 4, 3, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^
2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1]
, [-35/8, -35/8], [-4, -4]]]], [[7, 13, 4, 3, 2], [And(0 < v,v < 1), (v^2+2)^(
1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [3, 3], [-1, -1], [-35/8, -35/8], [-151939/65536, -2431023/
1048576]]]], [[7, 13, 4, 3, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1,
And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-35/8, -35/8], [0, 0]]]], [[7,
13, 4, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y
< 0), z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-35/8,
-35/8], [2431023/1048576, 151939/65536]]]], [[7, 13, 4, 3, 5], [And(0 < v,v <
1), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-35/8, -35/8], [4, 4]]]], [[8,
4, 1, 5, 1], [v = 1, u = -2^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3],
[2, 2], [-2, -2]]]], [[8, 4, 1, 5, 2], [v = 1, u = -2^(1/2), x < -2, And(-x-2
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-3, -3], [2, 2], [-1, -1]]]], [[8, 4, 1, 5, 3], [v = 1, u = -
2^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [2,
2], [0, 0]]]], [[8, 4, 1, 5, 4], [v = 1, u = -2^(1/2), x < -2, And(-x-2 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-3, -3], [2, 2], [1, 1]]]], [[8, 4, 1, 5, 5], [v = 1, u = -2^(1/2),
x < -2, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3, -3], [2, 2], [2, 2]]]], [[8, 5, 7, 6, 1
], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = 0, z < -(-x)^(1
/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [0, 0], [-2, -2]]]], [[8, 5, 7, 6, 2], [v = 1, And(
-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [0, 0], [-273157/524288, -1092627/2097152]]]], [[8, 5, 7,
6, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = 0, And(-(-x
)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0], [-1/4194304, -1/
4194304]]]], [[8, 5, 7, 6, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x
,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0], [546313/1048576,
273157/524288]]]], [[8, 5, 7, 6, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2
-2 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [0, 0], [2, 2]
]]], [[8, 12, 2, 1, 1], [v = 1, u = 2^(1/2), x = -2, y < 0, z < -(2-y)^(1/2)],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1],
[-3, -3]]]], [[8, 12, 2, 1, 2], [v = 1, u = 2^(1/2), x = -2, y < 0, z = -(2-y)
^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2],
[-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[8, 12, 2, 1, 3], [v = 1,
u = 2^(1/2), x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1],
[-1/4194304, -1/4194304]]]], [[8, 12, 2, 1, 4], [v = 1, u = 2^(1/2), x = -2, y
< 0, z = (2-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[8, 12, 2,
1, 5], [v = 1, u = 2^(1/2), x = -2, y < 0, (2-y)^(1/2) < z], [regular_chain, [
[1, 1], [741455/524288, 1482911/1048576], [-2, -2], [-1, -1], [3, 3]]]], [[8,
13, 7, 9, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), u^2-
x-2 < y, z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[497805/2097152, 497805/2097152], [2, 2], [0, 0]]]], [[9, 2, 5, 2, 1], [And(1
< v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[9, 2, 5, 2, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -
3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576, -\
3632373/2097152]]]], [[9, 2, 5, 2, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[9
, 2, 5, 2, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0),
y = -x-3, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/2, -5/2], [908093/
524288, 1816187/1048576]]]], [[9, 2, 5, 2, 5], [And(1 < v,v < 2^(1/2)), u = -(
v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2
, -1/2], [-5/2, -5/2], [3, 3]]]], [[9, 3, 9, 5, 1], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-x <
y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [
-1048577/2097152, -1048577/2097152], [0, 0]]]], [[9, 13, 4, 7, 1], [And(1 < v,
v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z
< -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [-1, -1], [384703/524288, 384703/524288], [-2, -2]
]]], [[9, 13, 4, 7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
x = -1, And(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [
384703/524288, 384703/524288], [-1082093/2097152, -270523/524288]]]], [[9, 13,
4, 7, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u
^2-v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1
], [384703/524288, 384703/524288], [0, 0]]]], [[9, 13, 4, 7, 4], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), z =
(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [384703/524288, 384703/524288], [270523/
524288, 541047/1048576]]]], [[9, 13, 4, 7, 5], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = -1, And(u^2-v^2 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [384703/524288, 384703/524288], [2, 2]]]], [[9, 14, 8, 4,
1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [-1, -1], [-1, -1]]]], [[9, 14, 8, 4, 2], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [-1, -1],
[0, 0]]]], [[9, 14, 8, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x =
1, y = -1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [1, 1], [-1, -1], [1, 1]]]], [[10, 1, 8, 1, 1
], [v = 2^(1/2), u < -2, x = 1, y < -u^2, z < -(-y-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-10, -10], [-4, -4]]]],
[[10, 1, 8, 1, 2], [v = 2^(1/2), u < -2, x = 1, y < -u^2, z = -(-y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-10, -10
], [-3, -3]]]], [[10, 1, 8, 1, 3], [v = 2^(1/2), u < -2, x = 1, y < -u^2, And(
-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-3, -3], [1, 1], [-10, -10], [0, 0]]]], [[10, 1, 8, 1, 4], [v = 2^
(1/2), u < -2, x = 1, y < -u^2, z = (-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1, 1], [-10, -10], [3, 3]]]], [[10, 1, 8,
1, 5], [v = 2^(1/2), u < -2, x = 1, y < -u^2, (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-10, -10]
, [4, 4]]]], [[10, 3, 1, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u
^2+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [0, 0], [-3, -3]]]],
[[10, 3, 1, 2, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = 0,
z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339
/2097152, -3913339/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[10, 3, 1, 2, 3],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = 0, And(-(-x)^(1/2) < z
,z < (-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-4, -4], [0, 0], [0, 0]]]], [[10, 3, 1, 2
, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = 0, z = (-x)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [0, 0], [2, 2]]]], [[10, 3, 1, 2, 5], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = 0, (-x)^(1/2) < z], [regular_chain
, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4
, -4], [0, 0], [3, 3]]]], [[10, 9, 4, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0),
x = -1, y = -u^2+2, z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [-1, -1], [7/4, 7/4], [0, 0]]]], [[10, 10, 6, 7, 1], [v = 2^(1/2
), u = 0, x = 0, 1 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [0, 0], [2, 2], [0, 0]]]], [[10, 15, 2, 7, 1], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), x = -u^2+1, u^2-1 < y, z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-773191/
524288, -1546381/1048576], [3, 3], [0, 0]]]], [[10, 16, 5, 7, 1], [v = 2^(1/2)
, u = 3^(1/2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [-1/2, -1/2], [2,
2], [0, 0]]]], [[10, 19, 8, 1, 1], [v = 2^(1/2), 2 < u, x = 1, y < -u^2, z < -
(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1,
1], [-10, -10], [-4, -4]]]], [[10, 19, 8, 1, 2], [v = 2^(1/2), 2 < u, x = 1, y
< -u^2, z = -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [1, 1], [-10, -10], [-3, -3]]]], [[10, 19, 8, 1, 3], [v = 2^(1/2), 2 <
u, x = 1, y < -u^2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-10, -10], [0, 0]]]], [[10
, 19, 8, 1, 4], [v = 2^(1/2), 2 < u, x = 1, y < -u^2, z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [-10, -10],
[3, 3]]]], [[10, 19, 8, 1, 5], [v = 2^(1/2), 2 < u, x = 1, y < -u^2, (-y-1)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1, 1], [
-10, -10], [4, 4]]]], [[11, 1, 9, 9, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And
(1 < x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3], [-5,
-5], [8, 8], [8, 8], [0, 0]]]], [[11, 5, 11, 2, 1], [2^(1/2) < v, And(-(v^2+1)
^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-457889/
131072, -3663111/1048576], [-3, -3]]]], [[11, 5, 11, 2, 2], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)],
[regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-457889/
131072, -3663111/1048576], [-1281417/1048576, -160177/131072]]]], [[11, 5, 11,
2, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
-403851/131072, -403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [
0, 0]]]], [[11, 5, 11, 2, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1
< x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [2, 2], [-457889/131072, -3663111/1048576], [
160177/131072, 1281417/1048576]]]], [[11, 5, 11, 2, 5], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-457889/
131072, -3663111/1048576], [3, 3]]]], [[11, 7, 7, 8, 1], [2^(1/2) < v, And(-v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [258285/1048576, 129143/524288], [-1, -1]]]], [[11, 7, 7,
8, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0)
, y = -x, z = 0], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [-516571/2097152, -516571/2097152], [258285/1048576, 129143/524288], [0, 0]
]]], [[11, 7, 7, 8, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2
+v^2-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [-516571/2097152, -516571/2097152], [258285/1048576, 129143
/524288], [1, 1]]]], [[11, 13, 6, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-5260377/
2097152, -657547/262144], [-3, -3]]]], [[11, 13, 6, 2, 2], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-\
5260377/2097152, -657547/262144], [-3321417/2097152, -415177/262144]]]], [[11,
13, 6, 2, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y
= u^2-v^2-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-5260377/
2097152, -657547/262144], [0, 0]]]], [[11, 13, 6, 2, 4], [2^(1/2) < v, And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2
)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [0, 0], [-\
5260377/2097152, -657547/262144], [415177/262144, 1660709/1048576]]]], [[11, 
13, 6, 2, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = 0, y
= u^2-v^2-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288
, 1435023/524288], [0, 0], [-5260377/2097152, -657547/262144], [3, 3]]]], [[11
, 15, 1, 3, 1], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And
(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549
/2097152, 6111549/2097152], [-3, -3], [1565147/2097152, 1565147/2097152], [-3,
-3]]]], [[11, 15, 1, 3, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^
2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [-3, -3], [1565147/2097152, 1565147/
2097152], [-787075/524288, -3148299/2097152]]]], [[11, 15, 1, 3, 3], [2^(1/2)
< v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/
2097152, 6111549/2097152], [-3, -3], [1565147/2097152, 1565147/2097152], [-1/
4194304, -1/4194304]]]], [[11, 15, 1, 3, 4], [2^(1/2) < v, And((v^2-1)^(1/2) <
u,u < v), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [1565147
/2097152, 1565147/2097152], [1574149/1048576, 787075/524288]]]], [[11, 15, 1,
3, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, And(0 < y,y
< u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152,
6111549/2097152], [-3, -3], [1565147/2097152, 1565147/2097152], [3, 3]]]], [[
11, 19, 5, 8, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [260583/262144, 1042333/1048576], [0,
0]]]], [[11, 20, 7, 9, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1),
1-x < y, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [
1/2, 1/2], [2, 2], [0, 0]]]], [[1, 5, 3, 8, 1], [v < -2^(1/2), And(-(v^2+1)^(1
/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[
-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152
], [1307267/1048576, 326817/262144], [-1, -1]]]], [[1, 5, 3, 8, 2], [v < -2^(1
/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0]
, [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/
2097152, -2614535/2097152], [1307267/1048576, 326817/262144], [0, 0]]]], [[1,
5, 3, 8, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,
x < -1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [1307267/1048576, 326817/262144
], [1, 1]]]], [[1, 6, 7, 7, 1], [v < -2^(1/2), u = v, 1 < x, 0 < y, z = z], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [1, 1], [0, 0]]]], [[1, 11, 1, 7,
1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x < u^2-v^2-1, 
And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-3, -3], [0, 0], [-11,
-11], [15, 15], [0, 0]]]], [[1, 12, 4, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2)
, x = -1, And(-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 12, 4, 3,
2], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1
/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [-1,
-1], [-1482911/1048576, -741455/524288]]]], [[1, 12, 4, 3, 3], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [-\
1, -1], [0, 0]]]], [[1, 12, 4, 3, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1
, And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]],
[[1, 12, 4, 3, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(-2 < y,y < 0)
, (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096],
[-1, -1], [-1, -1], [3, 3]]]], [[1, 18, 7, 1, 1], [v < -2^(1/2), u = (v^2+1)^(
1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3
], [207243/65536, 3315889/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[1, 18
, 7, 1, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1
/2, 1/2], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[1, 18, 7, 1, 3],
[v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[1, 18, 7, 1, 4], [v < -2^(1/2), u
= (v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [regular_chain
, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [-4, -4], [980853/
524288, 1961707/1048576]]]], [[1, 18, 7, 1, 5], [v < -2^(1/2), u = (v^2+1)^(1/
2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3],
[207243/65536, 3315889/1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[1, 20, 1,
1, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [-1, -1
], [-4, -4]]]], [[1, 20, 1, 1, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y
< 0, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[1, 20, 1,
1, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-4, -4], [-1, -1], [0, 0]]]], [[1, 20, 1, 1, 4], [v < -2^(1/2), u =
(v^2+2)^(1/2), x < -3, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-4, -4], [-1, -1], [2344687/1048576, 146543
/65536]]]], [[1, 20, 1, 1, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y < 0
, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-4, -4], [-1, -1], [4, 4]]]], [[2, 2, 9, 1, 1], [v = -2^(1/2), u = -\
2, 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [2, 2], [-6, -6], [-3, -3]]]], [[2, 2, 9, 1, 2], [v
= -2^(1/2), u = -2, 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-6, -6], [-2, -2]]]], [[2
, 2, 9, 1, 3], [v = -2^(1/2), u = -2, 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2
], [2, 2], [-6, -6], [0, 0]]]], [[2, 2, 9, 1, 4], [v = -2^(1/2), u = -2, 1 < x
, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-2, -2], [2, 2], [-6, -6], [2, 2]]]], [[2, 2, 9, 1, 5], [v = -2^(1/2
), u = -2, 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-2, -2], [2, 2], [-6, -6], [3, 3]]]], [[2, 4, 3, 1,
1], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y < -x-2, z < -(-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[2, 4, 3, 1, 2], [v =
-2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]
], [[2, 4, 3, 1, 3], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y < -x-2
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-2, -2
], [0, 0]]]], [[2, 4, 3, 1, 4], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1
), y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-2, -2], [980853
/524288, 1961707/1048576]]]], [[2, 4, 3, 1, 5], [v = -2^(1/2), u = -3^(1/2), 
And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[-2, -2], [3, 3]]]], [[2, 7, 8, 6, 1], [v = -2^(1/2), And(v < u,u < -1), x = 0
, y = 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[2, 7, 8, 6,
2], [v = -2^(1/2), And(v < u,u < -1), x = 0, y = 0, z = 0], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0
], [0, 0], [0, 0]]]], [[2, 7, 8, 6, 3], [v = -2^(1/2), And(v < u,u < -1), x =
0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[2, 9, 4, 2, 1
], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, y = u^2-2, z < -(-u^2+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [
-7/4, -7/4], [-3, -3]]]], [[2, 9, 4, 2, 2], [v = -2^(1/2), And(-1 < u,u < 0),
x = -1, y = u^2-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [-7/4, -7/4], [-1738867/1048576, -\
3477733/2097152]]]], [[2, 9, 4, 2, 3], [v = -2^(1/2), And(-1 < u,u < 0), x = -\
1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [-1/2, -1/2], [-1, -1], [-7/4, -7/4], [-1/
4194304, -1/4194304]]]], [[2, 9, 4, 2, 4], [v = -2^(1/2), And(-1 < u,u < 0), x
= -1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-1, -1], [-7/4, -7/4], [869433/524288, 1738867/
1048576]]]], [[2, 9, 4, 2, 5], [v = -2^(1/2), And(-1 < u,u < 0), x = -1, y = u
^2-2, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1/2, -1/2], [-1, -1], [-7/4, -7/4], [3, 3]]]], [[2, 13, 4, 9, 1], [v = -2^
(1/2), And(1 < u,u < -v), x = -1, 1 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [2, 2]
, [0, 0]]]], [[2, 15, 2, 1, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u
^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [-1, -1], [-3, -3]]]], [[2, 15, 2, 1, 2], [v = -2^(1/2), And(-v < u,
u < 3^(1/2)), x = -u^2+1, y < 0, z = -(u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191
/524288, -1546381/1048576], [-1, -1], [-3299097/2097152, -3299097/2097152]]]],
[[2, 15, 2, 1, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y < 0,
And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191/524288,
-1546381/1048576], [-1, -1], [-1/4194304, -1/4194304]]]], [[2, 15, 2, 1, 4], [
v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y < 0, z = (u^2-y-1)^(1/2)]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [-1, -1], [412387/262144
, 1649549/1048576]]]], [[2, 15, 2, 1, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x = -u^2+1, y < 0, (u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191/524288,
-1546381/1048576], [-1, -1], [3, 3]]]], [[3, 1, 8, 7, 1], [And(-2^(1/2) < v,v
< -1), u < -(v^2+2)^(1/2), x = 1, And(0 < y,y < u^2-v^2-2), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [
5812145/2097152, 5812145/2097152], [0, 0]]]], [[3, 3, 2, 3, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0
< y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/
524288, -2599117/1048576], [2599117/2097152, 2599117/2097152], [-3, -3]]]], [[
3, 3, 2, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/2097152, 
2599117/2097152], [-583671/524288, -1167341/1048576]]]], [[3, 3, 2, 3, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2
+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+
1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/
2097152, 2599117/2097152], [0, 0]]]], [[3, 3, 2, 3, 4], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y <
u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-1299559/524288, -\
2599117/1048576], [2599117/2097152, 2599117/2097152], [1167341/1048576, 583671
/524288]]]], [[3, 3, 2, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)
^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233
/8388608, -14373233/8388608], [-1299559/524288, -2599117/1048576], [2599117/
2097152, 2599117/2097152], [3, 3]]]], [[3, 7, 6, 6, 1], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [225185/524288, 450371/
1048576], [-1, -1]]]], [[3, 7, 6, 6, 2], [And(-2^(1/2) < v,v < -1), And(v < u,
u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [225185/524288, 450371/1048576], [0, 0]]]], [
[3, 7, 6, 6, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
-u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [225185/524288, 450371/1048576], [1, 1]]]], [[3, 9, 2, 2, 1],
[And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-
v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [0, 0], [-3, -3
]]]], [[3, 9, 2, 2, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/
524288], [0, 0], [-410915/262144, -3287319/2097152]]]], [[3, 9, 2, 2, 3], [And
(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-\
1, y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/
524288], [0, 0], [-1/4194304, -1/4194304]]]], [[3, 9, 2, 2, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [0, 0], [-2576463/1048576, -1288231/524288], [0, 0], [1643659/1048576, 
410915/262144]]]], [[3, 9, 2, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(
1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [0, 0], [3, 3]]]], [[3, 17, 11, 7, 1], [And(-2^(1/2
) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z
= z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [
-763943/1048576, -763943/1048576], [0, 0]]]], [[4, 2, 3, 3, 1], [v = -1, u = -
3^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1/
2, -1/2], [-3, -3]]]], [[4, 2, 3, 3, 2], [v = -1, u = -3^(1/2), And(-3 < x,x <
-1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [-1/2, -1/2], [-3315889/2097152,
-207243/131072]]]], [[4, 2, 3, 3, 3], [v = -1, u = -3^(1/2), And(-3 < x,x < -1
), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [-1/
2, -1/2], [0, 0]]]], [[4, 2, 3, 3, 4], [v = -1, u = -3^(1/2), And(-3 < x,x < -\
1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [-1/2, -1/2], [207243/131072, 
1657945/1048576]]]], [[4, 2, 3, 3, 5], [v = -1, u = -3^(1/2), And(-3 < x,x < -\
1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [-1/2, -1/2], [3, 3]]]], [[4, 6,
4, 5, 1], [v = -1, u = -1, x = 0, 0 < y, z = z], [regular_chain, [[-1, -1], [-\
1, -1], [0, 0], [1, 1], [0, 0]]]], [[4, 7, 11, 9, 1], [v = -1, And(-1 < u,u <
0), 1 < x, 0 < y, z = z], [regular_chain, [[-1, -1], [-1/2, -1/2], [2, 2], [1,
1], [0, 0]]]], [[4, 14, 4, 4, 1], [v = -1, u = 3^(1/2), x = -1, y = 0, z < -1]
, [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [0, 0
], [-2, -2]]]], [[4, 14, 4, 4, 2], [v = -1, u = 3^(1/2), x = -1, y = 0, z = -1
], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [0,
0], [-1, -1]]]], [[4, 14, 4, 4, 3], [v = -1, u = 3^(1/2), x = -1, y = 0, And(-\
1 < z,z < 1)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-\
1, -1], [0, 0], [0, 0]]]], [[4, 14, 4, 4, 4], [v = -1, u = 3^(1/2), x = -1, y
= 0, z = 1], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1,
-1], [0, 0], [1, 1]]]], [[4, 14, 4, 4, 5], [v = -1, u = 3^(1/2), x = -1, y = 0
, 1 < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1
], [0, 0], [2, 2]]]], [[4, 15, 8, 9, 1], [v = -1, 3^(1/2) < u, x = 1, u^2-3 <
y, z = z], [regular_chain, [[-1, -1], [3, 3], [1, 1], [7, 7], [0, 0]]]], [[5,
4, 7, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-\
2, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[5, 4, 7, 1, 2], [And(-1
< v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2
], [-4, -4], [-7846825/4194304, -980853/524288]]]], [[5, 4, 7, 1, 3], [And(-1
< v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[5, 4, 7, 1, 4], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[-4, -4], [980853/524288, 1961707/1048576]]]], [[5, 4, 7, 1, 5], [And(-1 < v,v
< 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1/2],
[-4, -4], [3, 3]]]], [[5, 6, 1, 1, 1], [And(-1 < v,v < 0), u = v, x < -1, y <
0, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2],
[-1, -1], [-3, -3]]]], [[5, 6, 1, 1, 2], [And(-1 < v,v < 0), u = v, x < -1, y
< 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2]
, [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[5, 6, 1, 1, 3], [And(-1
< v,v < 0), u = v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [-1, -1], [-1/4194304, -\
1/4194304]]]], [[5, 6, 1, 1, 4], [And(-1 < v,v < 0), u = v, x < -1, y < 0, z =
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [-1, -1]
, [908093/524288, 1816187/1048576]]]], [[5, 6, 1, 1, 5], [And(-1 < v,v < 0), u
= v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -\
1/2], [-2, -2], [-1, -1], [3, 3]]]], [[5, 9, 9, 3, 1], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2
-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [-3, -\
3]]]], [[5, 9, 9, 3, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), 
And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2],
[-25165827/16777216, -25165827/16777216], [-1048577/1048576, -1]]]], [[5, 9, 9
, 3, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1),
And(-u^2+v^2-x-1 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/
2], [-25165827/16777216, -25165827/16777216], [0, 0]]]], [[5, 9, 9, 3, 4], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [1/2, 1/2], [-25165827/16777216, -25165827
/16777216], [1, 1048577/1048576]]]], [[5, 9, 9, 3, 5], [And(-1 < v,v < 0), And
(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < u^2-v^2
-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-25165827/16777216, -25165827/16777216], [3, 3]
]]], [[5, 11, 4, 6, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [-1, -1], [1, 1], [-1, -1]]]], [[5, 11, 4, 6, 2], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z = 0], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [1, 1]
, [0, 0]]]], [[5, 11, 4, 6, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1, -1], [1, 1], [1, 1]]]], [[6, 2, 1, 2, 1], [v = 0,
u = -2^(1/2), x < -3, y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-4, -4], [0, 0], [-3, -3]]]], [[6, 2, 1, 2,
2], [v = 0, u = -2^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[0
, 0], [-1482911/1048576, -741455/524288], [-4, -4], [0, 0], [-2, -2]]]], [[6,
2, 1, 2, 3], [v = 0, u = -2^(1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)
^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4
], [0, 0], [0, 0]]]], [[6, 2, 1, 2, 4], [v = 0, u = -2^(1/2), x < -3, y = 0, z
= (-x)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-\
4, -4], [0, 0], [2, 2]]]], [[6, 2, 1, 2, 5], [v = 0, u = -2^(1/2), x < -3, y =
0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288
], [-4, -4], [0, 0], [3, 3]]]], [[6, 3, 5, 7, 1], [v = 0, And(-2^(1/2) < u,u <
-1), And(-1 < x,x < 0), And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [763943/1048576, 
763943/1048576], [0, 0]]]], [[6, 9, 9, 4, 1], [v = 0, And(1 < u,u < 2^(1/2)),
And(u^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[0, 0], [1265743/
1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [-1527887/
2097152, -1527887/2097152], [-1, -1]]]], [[6, 9, 9, 4, 2], [v = 0, And(1 < u,u
< 2^(1/2)), And(u^2-1 < x,x < 1), y = -x, z = 0], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [-\
1527887/2097152, -1527887/2097152], [0, 0]]]], [[6, 9, 9, 4, 3], [v = 0, And(1
< u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[0, 0
], [1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [-\
1527887/2097152, -1527887/2097152], [1, 1]]]], [[6, 11, 2, 7, 1], [v = 0, 2^(1
/2) < u, x = -u^2-1, 2*u^2 < y, z = z], [regular_chain, [[0, 0], [3, 3], [-10,
-10], [19, 19], [0, 0]]]], [[7, 3, 10, 5, 1], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-1 < y,y < u^2-v^2-2), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-805555
/1048576, -805555/1048576], [0, 0]]]], [[7, 5, 5, 8, 1], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [836497/1048576, 418249/524288], [-1, -1]]]], [[7,
5, 5, 8, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x <
u^2-v^2-1), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [836497/1048576, 
418249/524288], [0, 0]]]], [[7, 5, 5, 8, 3], [And(0 < v,v < 1), And(-(v^2+1)^(
1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [
[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [836497/1048576, 418249/524288], [1, 1]]]], [[8, 1, 6, 2, 1], [v = 1
, u < -3^(1/2), x = 0, y = -u^2, z < u], [regular_chain, [[1, 1], [-3, -3], [0
, 0], [-9, -9], [-4, -4]]]], [[8, 1, 6, 2, 2], [v = 1, u < -3^(1/2), x = 0, y
= -u^2, z = u], [regular_chain, [[1, 1], [-3, -3], [0, 0], [-9, -9], [-3, -3]]
]], [[8, 1, 6, 2, 3], [v = 1, u < -3^(1/2), x = 0, y = -u^2, And(u < z,z < -u)
], [regular_chain, [[1, 1], [-3, -3], [0, 0], [-9, -9], [0, 0]]]], [[8, 1, 6,
2, 4], [v = 1, u < -3^(1/2), x = 0, y = -u^2, z = -u], [regular_chain, [[1, 1]
, [-3, -3], [0, 0], [-9, -9], [3, 3]]]], [[8, 1, 6, 2, 5], [v = 1, u < -3^(1/2
), x = 0, y = -u^2, -u < z], [regular_chain, [[1, 1], [-3, -3], [0, 0], [-9, -\
9], [4, 4]]]], [[8, 2, 8, 3, 1], [v = 1, u = -3^(1/2), x = 1, And(-4 < y,y < -\
1), z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [1, 1], [-5/2, -5/2], [-3, -3]]]], [[8, 2, 8, 3, 2], [v = 1, u = -3^
(1/2), x = 1, And(-4 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1, 1],
[-1816187/1048576, -3632373/2097152], [1, 1], [-5/2, -5/2], [-1284239/1048576,
-642119/524288]]]], [[8, 2, 8, 3, 3], [v = 1, u = -3^(1/2), x = 1, And(-4 < y,
y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [1, 1], [-5/2, -5/2], [0, 0]]]], [[8, 2, 8
, 3, 4], [v = 1, u = -3^(1/2), x = 1, And(-4 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [-5/2, -\
5/2], [642119/524288, 1284239/1048576]]]], [[8, 2, 8, 3, 5], [v = 1, u = -3^(1
/2), x = 1, And(-4 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [1, 1], [-5/2, -5/2], [3, 3]]]], [[8, 7, 4
, 3, 1], [v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < 0), z < -(1-y)^(
1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-3/8, -3/8], [-3, -3]
]]], [[8, 7, 4, 3, 2], [v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < 0)
, z = -(1-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-3/8, -\
3/8], [-1229565/1048576, -307391/262144]]]], [[8, 7, 4, 3, 3], [v = 1, And(-1
< u,u < 0), x = -1, And(u^2-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-3/8, -3/8], [0, 0]]]],
[[8, 7, 4, 3, 4], [v = 1, And(-1 < u,u < 0), x = -1, And(u^2-1 < y,y < 0), z =
(1-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [-3/8, -3/8], [
307391/262144, 1229565/1048576]]]], [[8, 7, 4, 3, 5], [v = 1, And(-1 < u,u < 0
), x = -1, And(u^2-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1/2, -1/2], [-1, -1], [-3/8, -3/8], [3, 3]]]], [[8, 8, 7, 7, 1], [v = 1, u = 0
, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[1, 1], [0, 0], [1/2, 1/2]
, [1, 1], [0, 0]]]], [[8, 15, 1, 1, 1], [v = 1, 3^(1/2) < u, x < -u^2, y < 0,
z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [-1, -1], [-5
, -5]]]], [[8, 15, 1, 1, 2], [v = 1, 3^(1/2) < u, x < -u^2, y < 0, z = -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [-1, -1], [-1738867/
524288, -3477733/1048576]]]], [[8, 15, 1, 1, 3], [v = 1, 3^(1/2) < u, x < -u^2
, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [3
, 3], [-10, -10], [-1, -1], [0, 0]]]], [[8, 15, 1, 1, 4], [v = 1, 3^(1/2) < u,
x < -u^2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10
], [-1, -1], [3477733/1048576, 1738867/524288]]]], [[8, 15, 1, 1, 5], [v = 1,
3^(1/2) < u, x < -u^2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3,
3], [-10, -10], [-1, -1], [5, 5]]]], [[9, 1, 3, 2, 1], [And(1 < v,v < 2^(1/2))
, u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3],
[-10006449/2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304],
[-4, -4]]]], [[9, 1, 3, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/
2097152, -10006449/2097152], [-3954649/1048576, -15818595/4194304], [-1532401/
524288, -24518415/8388608]]]], [[9, 1, 3, 2, 3], [And(1 < v,v < 2^(1/2)), u <
-(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)
^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576
, -15818595/4194304], [-7/16777216, -7/16777216]]]], [[9, 1, 3, 2, 4], [And(1
< v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2
-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576,
-15818595/4194304], [3064801/1048576, 1532401/524288]]]], [[9, 1, 3, 2, 5], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -u
^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-3954649/1048576
, -15818595/4194304], [4, 4]]]], [[9, 5, 4, 4, 1], [And(1 < v,v < 2^(1/2)), 
And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = 0, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1,
-1], [0, 0], [-2, -2]]]], [[9, 5, 4, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2
+1)^(1/2) < u,u < -v), x = -1, y = 0, z = -1], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [0,
0], [-1, -1]]]], [[9, 5, 4, 4, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [0,
0], [0, 0]]]], [[9, 5, 4, 4, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) <
u,u < -v), x = -1, y = 0, z = 1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [0, 0], [1, 1]]]], [
[9, 5, 4, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x =
-1, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [0, 0], [2, 2]]]], [[9, 7, 1, 1,
1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y
< 0, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-3, -3], [-1, -1], [-3, -3]]]], [[9, 7,
1, 1, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2
-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [-1, -1], [-2, -2]]]
], [[9, 7, 1, 1, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [
-3, -3], [-1, -1], [0, 0]]]], [[9, 7, 1, 1, 4], [And(1 < v,v < 2^(1/2)), And(-
v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [-1, -1], [2, 2]]]], [[9, 7, 1, 1, 5], [And(1 < v,
v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y < 0, (-x-y)^(1/
2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [-1, -1], [3, 3]]]], [[9, 10, 2, 2, 1],
[And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [0, 0], [-3, -3]]]], [[9, 10, 2, 2, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x = -2, y = 0, z = -2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2],
[0, 0], [-1482911/1048576, -741455/524288]]]], [[9, 10, 2, 2, 3], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-2, -2], [0, 0], [0, 0]]]], [[9, 10, 2, 2, 4], [And(1 < v,v < 2^(1/
2)), u = (v^2-1)^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [0, 0],
[741455/524288, 1482911/1048576]]]], [[9, 10, 2, 2, 5], [And(1 < v,v < 2^(1/2)
), u = (v^2-1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-2, -2], [0, 0],
[3, 3]]]], [[9, 11, 8, 1, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x = 0, y < u^2-v^2-1, z < -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-3, -3],
[-3, -3]]]], [[9, 11, 8, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), x = 0, y < u^2-v^2-1, z = -(-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-3, -3],
[-1816187/1048576, -3632373/2097152]]]], [[9, 11, 8, 1, 3], [And(1 < v,v < 2^(
1/2)), And((v^2-1)^(1/2) < u,u < v), x = 0, y < u^2-v^2-1, And(-(-y)^(1/2) < z
,z < (-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]]
, [[9, 11, 8, 1, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x
= 0, y < u^2-v^2-1, z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [0, 0], [-3, -3], [908093/
524288, 1816187/1048576]]]], [[9, 11, 8, 1, 5], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), x = 0, y < u^2-v^2-1, (-y)^(1/2) < z], [regular_chain
, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [0, 0
], [-3, -3], [3, 3]]]], [[9, 16, 1, 8, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2
)^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [5, 5], [0, 0]]]], [[9, 
17, 5, 9, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u
^2-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
3, 3], [-1/2, -1/2], [9, 9], [0, 0]]]], [[10, 6, 2, 3, 1], [v = 2^(1/2), u = -
v, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [1/2,
1/2], [-2, -2]]]], [[10, 6, 2, 3, 2], [v = 2^(1/2), u = -v, x = -1, And(0 < y,
y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[10, 6, 2, 3, 3], [v = 2^(1/2), u = -v, x = -1, And(0 < y
,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-1, -1], [1/2,
1/2], [0, 0]]]], [[10, 6, 2, 3, 4], [v = 2^(1/2), u = -v, x = -1, And(0 < y,y
< 1), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [741455/1048576, 46341
/65536]]]], [[10, 6, 2, 3, 5], [v = 2^(1/2), u = -v, x = -1, And(0 < y,y < 1),
(1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911
/1048576, -741455/524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 7, 9, 9, 1],
[v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 11, 11, 2, 1], [v = 2^(1/2), 
And(0 < u,u < 1), 1 < x, y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-19/4, -19/4], [-3, -3]]
]], [[10, 11, 11, 2, 2], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = u^2-x-3, z
= -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1
/2], [2, 2], [-19/4, -19/4], [-1738867/1048576, -3477733/2097152]]]], [[10, 11
, 11, 2, 3], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = u^2-x-3, And(-(-u^2+3)
^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [2, 2], [-19/4, -19/4], [-1/4194304, -1/4194304]]]], [[
10, 11, 11, 2, 4], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = u^2-x-3, z = (-u
^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [
2, 2], [-19/4, -19/4], [869433/524288, 1738867/1048576]]]], [[10, 11, 11, 2, 5
], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = u^2-x-3, (-u^2+3)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-19/4,
-19/4], [3, 3]]]], [[10, 13, 6, 1, 1], [v = 2^(1/2), And(1 < u,u < v), x = -u^
2+1, y < 2*u^2-4, z < -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -\
239655/524288], [-3, -3], [-3, -3]]]], [[10, 13, 6, 1, 2], [v = 2^(1/2), And(1
< u,u < v), x = -u^2+1, y < 2*u^2-4, z = -(u^2-y-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/
1048576, -239655/524288], [-3, -3], [-3899297/2097152, -7798593/4194304]]]], [
[10, 13, 6, 1, 3], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y < 2*u^2-4, 
And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576
, -239655/524288], [-3, -3], [-1/8388608, -1/8388608]]]], [[10, 13, 6, 1, 4],
[v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y < 2*u^2-4, z = (u^2-y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-3, -3], [121853/65536, 1949649/
1048576]]]], [[10, 13, 6, 1, 5], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y
< 2*u^2-4, (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288
], [-3, -3], [3, 3]]]], [[11, 3, 3, 3, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0)
, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/
1048576], [-915943/524288, -915943/524288], [-391655/1048576, -391655/1048576]
, [-3, -3]]]], [[11, 3, 3, 3, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-
x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-\
915943/524288, -915943/524288], [-391655/1048576, -391655/1048576], [-763471/
524288, -1526941/1048576]]]], [[11, 3, 3, 3, 3], [2^(1/2) < v, And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,
y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-391655
/1048576, -391655/1048576], [0, 0]]]], [[11, 3, 3, 3, 4], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2
-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576
, -3396811/1048576], [-915943/524288, -915943/524288], [-391655/1048576, -\
391655/1048576], [1526941/1048576, 763471/524288]]]], [[11, 3, 3, 3, 5], [2^(1
/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [-391655
/1048576, -391655/1048576], [3, 3]]]], [[11, 4, 6, 3, 1], [2^(1/2) < v, u = -(
v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [0, 0], [-1, -1], [-2, -2]]]], [[11, 4,
6, 3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y
)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0],
[-1, -1], [-1, -1]]]], [[11, 4, 6, 3, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x
= 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[3, 3], [-3315889/1048576, -207243/65536], [0, 0], [-1, -1], [0, 0]]]], [[11,
4, 6, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z = (
-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0]
, [-1, -1], [1, 1]]]], [[11, 4, 6, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), x
= 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [0, 0], [-1, -1], [2, 2]]]], [[11, 9, 2, 7, 1], [2^(1
/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = u^2-v^2-1, -2*u^2+2*v
^2 < y, z = z], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608
], [-657547/262144, -5260375/2097152], [5, 5], [0, 0]]]], [[11, 10, 4, 8, 1],
[2^(1/2) < v, u = -(v^2-2)^(1/2), x = -1, y = 2, z = z], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [-1, -1], [2, 2], [0, 0]]]], [[11, 
16, 4, 1, 1], [2^(1/2) < v, u = v, x = 0, y < -1, z < -(-y)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [0, 0], [-2, -2], [-3, -3]]]], [[11, 16, 4, 1,
2], [2^(1/2) < v, u = v, x = 0, y < -1, z = -(-y)^(1/2)], [regular_chain, [[3,
3], [3, 3], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[11, 16,
4, 1, 3], [2^(1/2) < v, u = v, x = 0, y < -1, And(-(-y)^(1/2) < z,z < (-y)^(1/
2))], [regular_chain, [[3, 3], [3, 3], [0, 0], [-2, -2], [0, 0]]]], [[11, 16,
4, 1, 4], [2^(1/2) < v, u = v, x = 0, y < -1, z = (-y)^(1/2)], [regular_chain,
[[3, 3], [3, 3], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[11,
16, 4, 1, 5], [2^(1/2) < v, u = v, x = 0, y < -1, (-y)^(1/2) < z], [
regular_chain, [[3, 3], [3, 3], [0, 0], [-2, -2], [3, 3]]]], [[11, 17, 11, 1,
1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -
(-x-y)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2]
, [-5, -5], [-3, -3]]]], [[11, 17, 11, 1, 2], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 17, 11, 1, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^
(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [-5, -5], [-1/
4194304, -1/4194304]]]], [[11, 17, 11, 1, 4], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3
], [403851/131072, 403851/131072], [2, 2], [-5, -5], [908093/524288, 1816187/
1048576]]]], [[11, 17, 11, 1, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)),
1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [2, 2], [-5, -5], [3, 3]]]], [[1, 5, 4, 6, 1], [v < -2
^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z < -(-u^2+v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1],
[517383/1048576, 64673/131072], [-2, -2]]]], [[1, 5, 4, 6, 2], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [517383
/1048576, 64673/131072], [-373161/524288, -1492643/2097152]]]], [[1, 5, 4, 6,
3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, And(-(-
u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1, -1], [517383/1048576, 64673/131072], [-1/
4194304, -1/4194304]]]], [[1, 5, 4, 6, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) <
u,u < v), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-1, -1], [517383/1048576, 64673/131072
], [746321/1048576, 373161/524288]]]], [[1, 5, 4, 6, 5], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), x = -1, y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [517383/
1048576, 64673/131072], [2, 2]]]], [[1, 7, 1, 3, 1], [v < -2^(1/2), And(v < u,
u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1
/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3
], [1565147/2097152, 1565147/2097152], [-3, -3]]]], [[1, 7, 1, 3, 2], [v < -2^
(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1
), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [1565147/2097152, 1565147/2097152], [-787075/524288, -\
3148299/2097152]]]], [[1, 7, 1, 3, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152],
[-3, -3], [1565147/2097152, 1565147/2097152], [-1/4194304, -1/4194304]]]], [[1
, 7, 1, 3, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 
And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [1565147/2097152, 1565147/
2097152], [1574149/1048576, 787075/524288]]]], [[1, 7, 1, 3, 5], [v < -2^(1/2)
, And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(0 < y,y < u^2-v^2-x-1), (-
x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [1565147/2097152, 1565147/2097152], [3, 3]]]], [[1, 11, 2,
3, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1
, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3,
-3], [0, 0], [-10, -10], [5, 5], [-4, -4]]]], [[1, 11, 2, 3, 2], [v < -2^(1/2)
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2
+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10,
-10], [5, 5], [-146543/65536, -2344687/1048576]]]], [[1, 11, 2, 3, 3], [v < -2
^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, And(0 < y,y
< -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [5, 5], [0, 0]]]], [[1, 11, 2, 3
, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1,
And(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3
], [0, 0], [-10, -10], [5, 5], [2344687/1048576, 146543/65536]]]], [[1, 11, 2,
3, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1
, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3,
-3], [0, 0], [-10, -10], [5, 5], [4, 4]]]], [[1, 12, 4, 4, 1], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [-1, -1], [0, 0], [-2, -2]]]], [[1, 12, 4, 4, 2], [v <
-2^(1/2), u = (v^2-2)^(1/2), x = -1, y = 0, z = -1], [regular_chain, [[-3, -3]
, [2774271/1048576, 10837/4096], [-1, -1], [0, 0], [-1, -1]]]], [[1, 12, 4, 4,
3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [0, 0], [0,
0]]]], [[1, 12, 4, 4, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, y = 0, z =
1], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [0, 0]
, [1, 1]]]], [[1, 12, 4, 4, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, y =
0, 1 < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1],
[0, 0], [2, 2]]]], [[1, 18, 8, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1,
y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [1, 1], [-4, -4], [-3, -3]]]], [[1, 18, 8, 1, 2], [v < -2^(1/2), u =
(v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/
2097152]]]], [[1, 18, 8, 1, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, y < -\
3, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]],
[[1, 18, 8, 1, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 1, y < -3, z = (-y-1)
^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1, 1], [
-4, -4], [908093/524288, 1816187/1048576]]]], [[1, 18, 8, 1, 5], [v < -2^(1/2)
, u = (v^2+1)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[-3, -\
3], [207243/65536, 3315889/1048576], [1, 1], [-4, -4], [3, 3]]]], [[1, 20, 1,
4, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/2)], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [1, 1],
[-3, -3]]]], [[1, 20, 1, 4, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y =
-x-3, z = -3^(1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-4, -4], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[1, 20, 1
, 4, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = -x-3, And(-3^(1/2) < z,
z < 3^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [
-4, -4], [1, 1], [-1/4194304, -1/4194304]]]], [[1, 20, 1, 4, 4], [v < -2^(1/2)
, u = (v^2+2)^(1/2), x < -3, y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3]
, [3477733/1048576, 1738867/524288], [-4, -4], [1, 1], [908093/524288, 1816187
/1048576]]]], [[1, 20, 1, 4, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y =
-x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/
524288], [-4, -4], [1, 1], [3, 3]]]], [[2, 2, 9, 6, 1], [v = -2^(1/2), u = -2,
1 < x, y = 1-x, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
-2, -2], [2, 2], [-1, -1], [0, 0]]]], [[2, 4, 3, 2, 1], [v = -2^(1/2), u = -3^
(1/2), And(-2 < x,x < -1), y = -x-2, z < -2^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[-1/2, -1/2], [-3, -3]]]], [[2, 4, 3, 2, 2], [v = -2^(1/2), u = -3^(1/2), And(
-2 < x,x < -1), y = -x-2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/2, -1/
2], [-1482911/1048576, -741455/524288]]]], [[2, 4, 3, 2, 3], [v = -2^(1/2), u
= -3^(1/2), And(-2 < x,x < -1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [-1/2, -1/2], [0, 0]]]], [[2, 4, 3, 2, 4], [v
= -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [-1/2, -1/2], [741455/524288, 1482911/1048576]
]]], [[2, 4, 3, 2, 5], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = -x
-2, 2^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/2, -1/2], [3, 3]]]], [[2
, 7, 8, 5, 1], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(-u^2+1 < y,y < 0),
z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576]
, [-2, -2]]]], [[2, 7, 8, 5, 2], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(
-u^2+1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-239655/1048576
, -239655/1048576], [-501295/1048576, -250647/524288]]]], [[2, 7, 8, 5, 3], [v
= -2^(1/2), And(v < u,u < -1), x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576]
, [0, 0]]]], [[2, 7, 8, 5, 4], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(-u
^2+1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-239655/1048576, -\
239655/1048576], [250647/524288, 501295/1048576]]]], [[2, 7, 8, 5, 5], [v = -2
^(1/2), And(v < u,u < -1), x = 0, And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-239655/1048576, -239655/1048576], [2, 2]]]], [[2,
9, 3, 6, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = -x,
z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-\
15/8, -15/8], [15/8, 15/8], [-1, -1]]]], [[2, 9, 3, 6, 2], [v = -2^(1/2), And(
-1 < u,u < 0), And(u^2-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [15/8, 15/8],
[0, 0]]]], [[2, 9, 3, 6, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x
< -1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [-15/8, -15/8], [15/8, 15/8], [1, 1]]]], [[2, 13, 4, 6, 1], [v = -
2^(1/2), And(1 < u,u < -v), x = -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1, -1], [569265/1048576, 284633/524288], [-2, -2]]]], [[2, 13, 4,
6, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-1, -1], [569265/1048576, 284633/524288], [-1417877/2097152
, -354469/524288]]]], [[2, 13, 4, 6, 3], [v = -2^(1/2), And(1 < u,u < -v), x =
-1, y = -u^2+2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1
], [569265/1048576, 284633/524288], [0, 0]]]], [[2, 13, 4, 6, 4], [v = -2^(1/2
), And(1 < u,u < -v), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1,
-1], [569265/1048576, 284633/524288], [354469/524288, 708939/1048576]]]], [[2,
13, 4, 6, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y = -u^2+2, (u^2-1)^(1
/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1, -1], [569265/1048576, 284633/524288], [2, 2]]]
], [[2, 15, 1, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(
0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [799673/1048576,
799673/1048576], [-3, -3]]]], [[2, 15, 1, 3, 2], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [799673/1048576, 799673/1048576], [-1568445/1048576, -\
392111/262144]]]], [[2, 15, 1, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)),
x < -u^2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097
/2097152], [-3, -3], [799673/1048576, 799673/1048576], [0, 0]]]], [[2, 15, 1,
3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-
x+1), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[3299097/2097152, 3299097/2097152], [-3, -3], [799673/1048576, 799673/1048576]
, [392111/262144, 1568445/1048576]]]], [[2, 15, 1, 3, 5], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [799673/1048576, 799673/1048576], [3, 3]]]], [[3, 1, 8, 6,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [0, 0]
, [0, 0]]]], [[3, 3, 1, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [8890573/2097152, 8890573/2097152], [0, 0]]]], [[
3, 7, 6, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x =
-u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [-598205/1048576, -598205
/1048576], [-2, -2]]]], [[3, 7, 6, 3, 2], [And(-2^(1/2) < v,v < -1), And(v < u
,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z = -(u^2-v^
2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-\
598205/1048576, -598205/1048576], [-8796092304775/8796093022208, -\
4398046152387/4398046511104]]]], [[3, 7, 6, 3, 3], [And(-2^(1/2) < v,v < -1),
And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), And
(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-598205/1048576, -598205/1048576], [-3835587
/8796093022208, -3835587/8796093022208]]]], [[3, 7, 6, 3, 4], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,
y < 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [-598205/1048576, -598205/1048576], [1048575/1048576, 1]]]], [[3, 7,
6, 3, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v
^2-1, And(2*u^2-2*v^2 < y,y < 0), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-598205/1048576, -598205/1048576], [2, 2]]]]
, [[3, 9, 1, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2
-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [
1617841/1048576, 808921/524288], [-3, -3]]]], [[3, 9, 1, 4, 2], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2
-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-4, -4], [1617841/1048576, 808921/524288], [-410915
/262144, -3287319/2097152]]]], [[3, 9, 1, 4, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, And
(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-4, -4], [1617841/1048576, 808921/524288]
, [-1/4194304, -1/4194304]]]], [[3, 9, 1, 4, 4], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0
, 0], [-4, -4], [1617841/1048576, 808921/524288], [1643659/1048576, 410915/
262144]]]], [[3, 9, 1, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [
1617841/1048576, 808921/524288], [3, 3]]]], [[4, 1, 1, 3, 1], [v = -1, u < -3^
(1/2), x < -u^2, And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[
-1, -1], [-3, -3], [-10, -10], [1/2, 1/2], [-5, -5]]]], [[4, 1, 1, 3, 2], [v =
-1, u < -3^(1/2), x < -u^2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [1/2, 1/2], [-3231929/1048576,
-403991/131072]]]], [[4, 1, 1, 3, 3], [v = -1, u < -3^(1/2), x < -u^2, And(0 <
y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1,
-1], [-3, -3], [-10, -10], [1/2, 1/2], [0, 0]]]], [[4, 1, 1, 3, 4], [v = -1, u
< -3^(1/2), x < -u^2, And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)], [regular_chain
, [[-1, -1], [-3, -3], [-10, -10], [1/2, 1/2], [403991/131072, 3231929/1048576
]]]], [[4, 1, 1, 3, 5], [v = -1, u < -3^(1/2), x < -u^2, And(0 < y,y < -u^2-x)
, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [1/2, 1/
2], [5, 5]]]], [[4, 2, 3, 4, 1], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-2, -2], [0, 0], [-3, -3]]]], [[4, 2, 3, 4, 2], [v = -1, u = -3^(1/
2), And(-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [-1482911/1048576, -\
741455/524288]]]], [[4, 2, 3, 4, 3], [v = -1, u = -3^(1/2), And(-3 < x,x < -1)
, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [0, 0]]]], [[4, 2, 3, 4,
4], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [0,
0], [741455/524288, 1482911/1048576]]]], [[4, 2, 3, 4, 5], [v = -1, u = -3^(1/
2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1816187/1048576, -3632373/2097152], [-2, -2], [0, 0], [3, 3]]]], [[4, 6, 5, 7,
1], [v = -1, u = -1, And(0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1, -1
], [-1, -1], [1/2, 1/2], [1, 1], [0, 0]]]], [[4, 8, 1, 3, 1], [v = -1, u = 0,
x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0
, 0], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[4, 8, 1, 3, 2], [v = -1, u = 0, x <
-2, And(0 < y,y < -x-2), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0]
, [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]], [[4, 8, 1, 3, 3
], [v = -1, u = 0, x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1/2, 1/2], [0, 0]]]]
, [[4, 8, 1, 3, 4], [v = -1, u = 0, x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1
/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1/2, 1/2], [207243/131072,
1657945/1048576]]]], [[4, 8, 1, 3, 5], [v = -1, u = 0, x < -2, And(0 < y,y < -
x-2), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1/2, 1/
2], [3, 3]]]], [[4, 14, 4, 9, 1], [v = -1, u = 3^(1/2), x = -1, 2 < y, z = z],
[regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [3, 3],
[0, 0]]]], [[4, 15, 9, 1, 1], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), y <
-u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-14, -\
14], [-5, -5]]]], [[4, 15, 9, 1, 2], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2
), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [4, 4],
[-14, -14], [-3315889/1048576, -207243/65536]]]], [[4, 15, 9, 1, 3], [v = -1,
3^(1/2) < u, And(1 < x,x < u^2-2), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-14, -14], [0, 0]]]], [
[4, 15, 9, 1, 4], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), y < -u^2-x, z =
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-14, -14], [207243/
65536, 3315889/1048576]]]], [[4, 15, 9, 1, 5], [v = -1, 3^(1/2) < u, And(1 < x
,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3],
[4, 4], [-14, -14], [5, 5]]]], [[5, 4, 8, 1, 1], [And(-1 < v,v < 0), u = -(v^2
+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
-146543/131072, -1172343/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[5, 4, 8, 1
, 2], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)
], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1],
[-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[5, 4, 8, 1, 3], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1
, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[5, 4, 8, 1, 4], [And(-1 < v,v <
0), u = -(v^2+1)^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1], [-4, -4], [908093/
524288, 1816187/1048576]]]], [[5, 4, 8, 1, 5], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-4, -4], [3, 3]]]], [[5, 6, 1, 4, 1
], [And(-1 < v,v < 0), u = v, x < -1, y = -1-x, z < -1], [regular_chain, [[-1/
2, -1/2], [-1/2, -1/2], [-2, -2], [1, 1], [-2, -2]]]], [[5, 6, 1, 4, 2], [And(
-1 < v,v < 0), u = v, x < -1, y = -1-x, z = -1], [regular_chain, [[-1/2, -1/2]
, [-1/2, -1/2], [-2, -2], [1, 1], [-1, -1]]]], [[5, 6, 1, 4, 3], [And(-1 < v,v
< 0), u = v, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/
2], [-1/2, -1/2], [-2, -2], [1, 1], [0, 0]]]], [[5, 6, 1, 4, 4], [And(-1 < v,v
< 0), u = v, x < -1, y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -\
1/2], [-2, -2], [1, 1], [1, 1]]]], [[5, 6, 1, 4, 5], [And(-1 < v,v < 0), u = v
, x < -1, y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2,
-2], [1, 1], [2, 2]]]], [[5, 9, 8, 7, 1], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x = 0, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [1, 1], [0, 0]]]], [[5, 11, 3, 8, 1], [And(
-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [343151/262144,
343151/262144], [-1815885/1048576, -1815885/1048576], [2301927/1048576, 287741
/131072], [0, 0]]]], [[6, 2, 1, 1, 1], [v = 0, u = -2^(1/2), x < -3, y < 0, z
< -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288],
[-4, -4], [-1, -1], [-4, -4]]]], [[6, 2, 1, 1, 2], [v = 0, u = -2^(1/2), x < -\
3, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[6,
2, 1, 1, 3], [v = 0, u = -2^(1/2), x < -3, y < 0, And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4
, -4], [-1, -1], [0, 0]]]], [[6, 2, 1, 1, 4], [v = 0, u = -2^(1/2), x < -3, y
< 0, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[6, 2, 1, 1,
5], [v = 0, u = -2^(1/2), x < -3, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[
0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [-1, -1], [4, 4]]]], [[6,
3, 5, 2, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y = -u^2-x-1
, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1/2, -1/2], [-8208699/4194304, -32834795/16777216], [-3, -3]]]], [
[6, 3, 5, 2, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y = -u^2
-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-8208699/4194304, -32834795/16777216], [-\
410915/262144, -3287319/2097152]]]], [[6, 3, 5, 2, 3], [v = 0, And(-2^(1/2) <
u,u < -1), And(-1 < x,x < 0), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)
^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2
, -1/2], [-8208699/4194304, -32834795/16777216], [-1/4194304, -1/4194304]]]],
[[6, 3, 5, 2, 4], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y = -u^
2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [-1/2, -1/2], [-8208699/4194304, -32834795/16777216], [
1643659/1048576, 410915/262144]]]], [[6, 3, 5, 2, 5], [v = 0, And(-2^(1/2) < u
,u < -1), And(-1 < x,x < 0), y = -u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain,
[[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-8208699/4194304
, -32834795/16777216], [3, 3]]]], [[6, 9, 9, 1, 1], [v = 0, And(1 < u,u < 2^(1
/2)), And(u^2-1 < x,x < 1), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152
], [-5, -5], [-4, -4]]]], [[6, 9, 9, 1, 2], [v = 0, And(1 < u,u < 2^(1/2)), 
And(u^2-1 < x,x < 1), y < -u^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0
], [1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [-5
, -5], [-2167143/1048576, -1083571/524288]]]], [[6, 9, 9, 1, 3], [v = 0, And(1
< u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y < -u^2-x-1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576],
[1527887/2097152, 1527887/2097152], [-5, -5], [0, 0]]]], [[6, 9, 9, 1, 4], [v
= 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y < -u^2-x-1, z = (-x-y)^(1
/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/
2097152, 1527887/2097152], [-5, -5], [1083571/524288, 2167143/1048576]]]], [[6
, 9, 9, 1, 5], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y < -u^2-
x-1, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [1527887/2097152, 1527887/2097152], [-5, -5], [4, 4]]]], [[6, 11, 1,
9, 1], [v = 0, 2^(1/2) < u, x < -u^2-1, u^2-x-1 < y, z = z], [regular_chain, [
[0, 0], [3, 3], [-11, -11], [20, 20], [0, 0]]]], [[7, 3, 10, 4, 1], [And(0 < v
,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-1, -1]
, [-1, -1]]]], [[7, 3, 10, 4, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, y = -1, z = 0], [regular_chain, [[1/2, 1/2], [-\
343151/262144, -343151/262144], [1, 1], [-1, -1], [0, 0]]]], [[7, 3, 10, 4, 3]
, [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -1
, 0 < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1
], [-1, -1], [1, 1]]]], [[7, 5, 5, 3, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2
) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152]
, [-1672995/2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304],
[-3, -3]]]], [[7, 5, 5, 3, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995
/2097152, -1672995/2097152], [-1272471/4194304, -1272471/4194304], [-1100319/
1048576, -550159/524288]]]], [[7, 5, 5, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)
^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-\
1272471/4194304, -1272471/4194304], [0, 0]]]], [[7, 5, 5, 3, 4], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-
x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [-1272471/
4194304, -1272471/4194304], [550159/524288, 1100319/1048576]]]], [[7, 5, 5, 3,
5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-\
1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2
], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152],
[-1272471/4194304, -1272471/4194304], [3, 3]]]], [[8, 1, 6, 5, 1], [v = 1, u <
-3^(1/2), x = 0, And(0 < y,y < u^2-2), z = z], [regular_chain, [[1, 1], [-3, -\
3], [0, 0], [7/2, 7/2], [0, 0]]]], [[8, 2, 9, 3, 1], [v = 1, u = -3^(1/2), 1 <
x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[8, 2,
9, 3, 2], [v = 1, u = -3^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-7/
2, -7/2], [-1284239/1048576, -642119/524288]]]], [[8, 2, 9, 3, 3], [v = 1, u =
-3^(1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-7/
2, -7/2], [0, 0]]]], [[8, 2, 9, 3, 4], [v = 1, u = -3^(1/2), 1 < x, And(-x-3 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [
[8, 2, 9, 3, 5], [v = 1, u = -3^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/
2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2]
, [-7/2, -7/2], [3, 3]]]], [[8, 7, 4, 4, 1], [v = 1, And(-1 < u,u < 0), x = -1
, y = 0, z < -1], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0], [-2
, -2]]]], [[8, 7, 4, 4, 2], [v = 1, And(-1 < u,u < 0), x = -1, y = 0, z = -1],
[regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0], [-1, -1]]]], [[8, 7,
4, 4, 3], [v = 1, And(-1 < u,u < 0), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]], [[8, 7, 4,
4, 4], [v = 1, And(-1 < u,u < 0), x = -1, y = 0, z = 1], [regular_chain, [[1,
1], [-1/2, -1/2], [-1, -1], [0, 0], [1, 1]]]], [[8, 7, 4, 4, 5], [v = 1, And(-\
1 < u,u < 0), x = -1, y = 0, 1 < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-\
1, -1], [0, 0], [2, 2]]]], [[8, 8, 8, 5, 1], [v = 1, u = 0, x = 1, And(-1 < y,
y < 0), z = z], [regular_chain, [[1, 1], [0, 0], [1, 1], [-1/2, -1/2], [0, 0]]
]], [[8, 15, 1, 4, 1], [v = 1, 3^(1/2) < u, x < -u^2, y = -u^2-x, z < -u], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [1, 1], [-4, -4]]]], [[8, 15, 1, 4
, 2], [v = 1, 3^(1/2) < u, x < -u^2, y = -u^2-x, z = -u], [regular_chain, [[1,
1], [3, 3], [-10, -10], [1, 1], [-3, -3]]]], [[8, 15, 1, 4, 3], [v = 1, 3^(1/2
) < u, x < -u^2, y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[1, 1], [3,
3], [-10, -10], [1, 1], [0, 0]]]], [[8, 15, 1, 4, 4], [v = 1, 3^(1/2) < u, x <
-u^2, y = -u^2-x, z = u], [regular_chain, [[1, 1], [3, 3], [-10, -10], [1, 1],
[3, 3]]]], [[8, 15, 1, 4, 5], [v = 1, 3^(1/2) < u, x < -u^2, y = -u^2-x, u < z
], [regular_chain, [[1, 1], [3, 3], [-10, -10], [1, 1], [4, 4]]]], [[9, 1, 3,
9, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1)
, u^2-v^2-x-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3, -3], [-10006449/2097152, -10006449/2097152], [13, 13], [0, 0]]]], [[9,
5, 4, 5, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1,
And(0 < y,y < u^2-v^2), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [122559/
524288, 122559/524288], [-2, -2]]]], [[9, 5, 4, 5, 2], [And(1 < v,v < 2^(1/2))
, And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), z = -(1-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304,
-5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [-7342967/8388608
, -3671483/4194304]]]], [[9, 5, 4, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1
)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [-3/
8388608, -3/8388608]]]], [[9, 5, 4, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+
1)^(1/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [458935/524288, 
917871/1048576]]]], [[9, 5, 4, 5, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1
/2) < u,u < -v), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/524288, 122559/524288], [2, 2]]]], [[9, 7,
1, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2
-1, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [
2695357/1048576, 1347679/524288], [-2, -2]]]], [[9, 7, 1, 6, 2], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2695357/1048576, 1347679/524288
], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 1, 6, 3], [And(1 < v,v < 2^
(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, And(-
(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [
2695357/1048576, 1347679/524288], [0, 0]]]], [[9, 7, 1, 6, 4], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2695357/1048576, 1347679/524288
], [687203/1048576, 171801/262144]]]], [[9, 7, 1, 6, 5], [And(1 < v,v < 2^(1/2
)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3, -3], [2695357/1048576, 1347679/524288], [2, 2
]]]], [[9, 10, 1, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y
= -x-2, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [1, 1], [-3, -3]]]], [[9, 10, 1, 4,
2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = -x-2, z = -2^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939
/1048576], [-3, -3], [1, 1], [-1482911/1048576, -741455/524288]]]], [[9, 10, 1
, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = -x-2, And(-2^
(1/2) < z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-3, -3], [1, 1], [0, 0]]]], [[9, 10, 1, 4, 4
], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = -x-2, z = 2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [1, 1], [741455/524288, 1482911/1048576]]]], [[9, 10, 1, 4
, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = -x-2, 2^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-3, -3], [1, 1], [3, 3]]]], [[9, 11, 7, 9, 1], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), -x < y, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-450371/2097152, -450371/2097152], [2, 2], [0, 0]]]], [[9, 
16, 1, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y < 0, z < -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [-1, -1], [-4, -4]]]], [[9, 16, 1, 1, 2], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y < 0, z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [[9, 16, 1
, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y < 0, And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [-1, -1], [0, 0]]]], [[9,
16, 1, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y < 0, z = (
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]
], [[9, 16, 1, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y <
0, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [-1, -1], [4, 4]]]], [[9, 17, 5, 6,
1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, z <
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2],
[1/2, 1/2], [-1, -1]]]], [[9, 17, 5, 6, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(
1/2) < u, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743/1048576
, 1265743/1048576], [3, 3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[9, 17, 5, 6
, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, 0
< z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2
], [1/2, 1/2], [1, 1]]]], [[10, 6, 1, 5, 1], [v = 2^(1/2), u = -v, x < -1, And
(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [3/2, 3/2], [-\
2, -2]]]], [[10, 6, 1, 5, 2], [v = 2^(1/2), u = -v, x < -1, And(-1-x < y,y < -
x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-2, -2], [3/2, 3/2], [-1482911/2097152, -\
741455/1048576]]]], [[10, 6, 1, 5, 3], [v = 2^(1/2), u = -v, x < -1, And(-1-x
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2],
[3/2, 3/2], [0, 0]]]], [[10, 6, 1, 5, 4], [v = 2^(1/2), u = -v, x < -1, And(-1
-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-2, -2], [3/2, 3/2], [741455/
1048576, 46341/65536]]]], [[10, 6, 1, 5, 5], [v = 2^(1/2), u = -v, x < -1, And
(-1-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [3/2, 3/2], [2, 2]]]]
, [[10, 7, 9, 8, 1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = 0
, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 11, 10, 4, 1], [v =
2^(1/2), And(0 < u,u < 1), x = 1, y = -1, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-1, -1], [-1, -1]]]], [[10, 11,
10, 4, 2], [v = 2^(1/2), And(0 < u,u < 1), x = 1, y = -1, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-1, -1]
, [0, 0]]]], [[10, 11, 10, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), x = 1, y = -\
1, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1,
1], [-1, -1], [1, 1]]]], [[10, 13, 5, 7, 1], [v = 2^(1/2), And(1 < u,u < v), 
And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [-2, -2]]]], [[10,
13, 5, 7, 2], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(-u^2
-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [1/2, 1/2], [-31331/65536, -501295/1048576]]]], [[10, 13, 5, 7, 3],
[v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -
x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [1/2, 1/2], [0, 0]]]], [[10, 13, 5, 7, 4], [v = 2^(1/2), And
(1 < u,u < v), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [501295/
1048576, 31331/65536]]]], [[10, 13, 5, 7, 5], [v = 2^(1/2), And(1 < u,u < v),
And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [2, 2]]]], [[11, 3
, 3, 4, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2
+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [0, 0],
[-3, -3]]]], [[11, 3, 3, 4, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288,
-915943/524288], [0, 0], [-346489/262144, -1385955/1048576]]]], [[11, 3, 3, 4,
3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3
], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [0,
0], [0, 0]]]], [[11, 3, 3, 4, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288,
-915943/524288], [0, 0], [1385955/1048576, 346489/262144]]]], [[11, 3, 3, 4, 5
], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-915943/524288, -915943/524288], [0, 0], [3, 3]]]], [[11,
4, 7, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[11, 4, 7, 3, 2], [2^(1
/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1
/2], [-3/2, -3/2], [-1, -1]]]], [[11, 4, 7, 3, 3], [2^(1/2) < v, u = -(v^2+1)^
(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1
/2], [-3/2, -3/2], [0, 0]]]], [[11, 4, 7, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-3/2, -3/2], [1, 1]
]]], [[11, 4, 7, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), 
And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[11, 9, 3, 3, 1
], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x
,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [-3163223/8388608, -3163223/8388608], [-3, -3]]]], [[11, 9, 3, 3, 2]
, [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,
x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [-3163223/8388608, -3163223/8388608], [-765399/524288, -1530797/
1048576]]]], [[11, 9, 3, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2
-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-7357527/4194304, -7357527/4194304], [-3163223/8388608, -\
3163223/8388608], [0, 0]]]], [[11, 9, 3, 3, 4], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [-3163223/8388608, -3163223/
8388608], [1530797/1048576, 765399/524288]]]], [[11, 9, 3, 3, 5], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u
^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-3163223/
8388608, -3163223/8388608], [3, 3]]]], [[11, 10, 5, 6, 1], [2^(1/2) < v, u = -
(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[
11, 10, 5, 6, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = -x,
z = 0], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2,
-1/2], [1/2, 1/2], [0, 0]]]], [[11, 10, 5, 6, 3], [2^(1/2) < v, u = -(v^2-2)^(
1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 16, 4,
2, 1], [2^(1/2) < v, u = v, x = 0, y = -1, z < -1], [regular_chain, [[3, 3], [
3, 3], [0, 0], [-1, -1], [-2, -2]]]], [[11, 16, 4, 2, 2], [2^(1/2) < v, u = v,
x = 0, y = -1, z = -1], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1, -1], [-1
, -1]]]], [[11, 16, 4, 2, 3], [2^(1/2) < v, u = v, x = 0, y = -1, And(-1 < z,z
< 1)], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1, -1], [0, 0]]]], [[11, 16,
4, 2, 4], [2^(1/2) < v, u = v, x = 0, y = -1, z = 1], [regular_chain, [[3, 3],
[3, 3], [0, 0], [-1, -1], [1, 1]]]], [[11, 16, 4, 2, 5], [2^(1/2) < v, u = v,
x = 0, y = -1, 1 < z], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1, -1], [2,
2]]]], [[11, 17, 11, 6, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x,
y = -x, z < 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2
], [-2, -2], [-1, -1]]]], [[11, 17, 11, 6, 2], [2^(1/2) < v, And(v < u,u < (v^
2+1)^(1/2)), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [2, 2], [-2, -2], [0, 0]]]], [[11, 17, 11, 6, 3], [2^(1/2) < v
, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [2, 2], [-2, -2], [1, 1]]]], [[1, 2, 4, 5, 1
], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/
2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1],
[1/2, 1/2], [-2, -2]]]], [[1, 2, 4, 5, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2),
x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[1, 2, 4, 5, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -\
1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [
[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [1/2, 1/2], [0, 0]]]]
, [[1, 2, 4, 5, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1
), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[1, 2, 4, 5
, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2)
< z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1]
, [1/2, 1/2], [2, 2]]]], [[1, 3, 8, 6, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [0, 0
], [0, 0]]]], [[1, 8, 2, 4, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y =
2, z < 0], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [
-2, -2], [2, 2], [-1, -1]]]], [[1, 8, 2, 4, 2], [v < -2^(1/2), u = -(v^2-1)^(1
/2), x = -2, y = 2, z = 0], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [2, 2], [0, 0]]]], [[1, 8, 2, 4, 3], [v < -2^(1/2
), u = -(v^2-1)^(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-2, -2], [2, 2], [1, 1]]]], [[1, 9, 8, 3
, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-\
1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-3696259/2097152, -3696259/2097152], [-3, -3]]]], [[
1, 9, 8, 3, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x =
-u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-3696259/2097152, -3696259/2097152], [-1174299/
1048576, -587149/524288]]]], [[1, 9, 8, 3, 3], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1)
, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3
, -3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144]
, [-3696259/2097152, -3696259/2097152], [0, 0]]]], [[1, 9, 8, 3, 4], [v < -2^(
1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*
v^2 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-\
3696259/2097152, -3696259/2097152], [587149/524288, 1174299/1048576]]]], [[1,
9, 8, 3, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u
^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-3696259/2097152, -3696259/2097152], [3, 3]]]], [[1,
15, 6, 6, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y
= u^2-v^2+1, z < 0], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [516571/1048576, 129143/262144],
[-1, -1]]]], [[1, 15, 6, 6, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v),
x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [516571/1048576,
129143/262144], [0, 0]]]], [[1, 15, 6, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2)
< u,u < -v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[-3, -3],
[6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [516571
/1048576, 129143/262144], [1, 1]]]], [[1, 17, 3, 5, 1], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1)
, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072
], [-2614535/2097152, -2614535/2097152], [388037/1048576, 388037/1048576], [-2
, -2]]]], [[1, 17, 3, 5, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/1048576, 388037/1048576], [-1963551/2097152, -\
7854203/8388608]]]], [[1, 17, 3, 5, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-2614535/2097152, -2614535/2097152], [388037/1048576, 388037/1048576
], [-3/16777216, -3/16777216]]]], [[1, 17, 3, 5, 4], [v < -2^(1/2), And(-v < u
,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z
= (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [388037/1048576, 388037/1048576], [981775/
1048576, 61361/65536]]]], [[1, 17, 3, 5, 5], [v < -2^(1/2), And(-v < u,u < (v^
2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1
/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535
/2097152, -2614535/2097152], [388037/1048576, 388037/1048576], [2, 2]]]], [[1,
21, 4, 5, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), z <
-(1-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [1/2, 1/2], [-2, -\
2]]]], [[1, 21, 4, 5, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(0 < y,
y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [1/2,
1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 21, 4, 5, 3], [v < -2^(1/2)
, (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^
(1/2))], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [1/2, 1/2], [0, 0]]]], [
[1, 21, 4, 5, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(0 < y,y < 1),
z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [1/2, 1/2], [
741455/1048576, 46341/65536]]]], [[1, 21, 4, 5, 5], [v < -2^(1/2), (v^2+2)^(1/
2) < u, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3],
[5, 5], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 1, 6, 4, 1], [v = -2^(1/2), u <
-2, x = 0, y = 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[2, 1, 6, 4, 2], [v = -2^(1/2), u < -2
, x = 0, y = 0, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
-3, -3], [0, 0], [0, 0], [0, 0]]]], [[2, 1, 6, 4, 3], [v = -2^(1/2), u < -2, x
= 0, y = 0, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3,
-3], [0, 0], [0, 0], [1, 1]]]], [[2, 10, 6, 4, 1], [v = -2^(1/2), u = 0, x = 0
, y = 0, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0],
[0, 0], [0, 0], [-1, -1]]]], [[2, 10, 6, 4, 2], [v = -2^(1/2), u = 0, x = 0, y
= 0, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0,
0], [0, 0], [0, 0]]]], [[2, 10, 6, 4, 3], [v = -2^(1/2), u = 0, x = 0, y = 0,
0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [
0, 0], [1, 1]]]], [[2, 11, 10, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 1,
And(-u^2 < y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [1, 1], [-1/8, -1/8], [0, 0]]]], [[2, 16, 5, 2, 1], [v =
-2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[2, 16, 5, 2, 2], [v = -2^
(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2
, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288]]]], [[2, 16, 5, 2, 3
], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, And(-2^(1/2) < z,z
< 2^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[2, 16, 5, 2
, 4], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[2
, 16, 5, 2, 5], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/
2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288,
1816187/1048576], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[2, 17, 10, 4, 1], [
v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -1, z < 0], [regular_chain, [
[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1]
, [-1, -1], [-1, -1]]]], [[2, 17, 10, 4, 2], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), x = 1, y = -1, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [1, 1], [-1, -1], [0, 0]]]], [[2,
17, 10, 4, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = -1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [1, 1], [-1, -1], [1, 1]]]], [[3, 4, 5, 6, 1], [And(-2^(1/2) < v,v <
-1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2
, -1/2], [1/2, 1/2], [-1, -1]]]], [[3, 4, 5, 6, 2], [And(-2^(1/2) < v,v < -1),
u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2,
-1/2], [1/2, 1/2], [0, 0]]]], [[3, 4, 5, 6, 3], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2],
[1/2, 1/2], [1, 1]]]], [[3, 5, 10, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2
+1)^(1/2) < u,u < v), x = 1, y = 0, z = z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [0, 0], [0,
0]]]], [[3, 10, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1
< x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1
/2], [-3/4, -3/4], [-3, -3]]]], [[3, 10, 5, 3, 2], [And(-2^(1/2) < v,v < -1),
u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [
[3, 10, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x <
0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[3, 10, 5, 3, 4], [And(-2^(1
/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1/2, -1/2], [-3/4, -3/4], [1172343/1048576,
146543/131072]]]], [[3, 10, 5, 3, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(
1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[3, 11, 10, 5, 1], [And(-2^(
1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y <
-1), z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [987341/1048576, 987341/1048576], [1, 1], [-2547523/2097152, -2547523/
2097152], [-2, -2]]]], [[3, 11, 10, 5, 2], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [1, 1], [-2547523/2097152, -2547523/2097152], [-485927/1048576, -\
242963/524288]]]], [[3, 11, 10, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z
< (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [-2547523/2097152, -2547523/2097152],
[0, 0]]]], [[3, 11, 10, 5, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-2547523/2097152, -2547523/2097152], [242963/524288, 485927
/1048576]]]], [[3, 11, 10, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-2547523/2097152, -2547523/2097152], [2, 2]]]], [[3, 15, 5,
2, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-1 < x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1/2,
-1/2], [-33197267/16777216, -66394533/33554432], [-3, -3]]]], [[3, 15, 5, 2, 2
], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1
< x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/
2], [-33197267/16777216, -66394533/33554432], [-3301741/2097152, -825435/
524288]]]], [[3, 15, 5, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1
/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-33197267/16777216, -\
66394533/33554432], [0, 0]]]], [[3, 15, 5, 2, 4], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1,
z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [-1/2, -1/2], [-33197267/16777216, -66394533/
33554432], [825435/524288, 1650871/1048576]]]], [[3, 15, 5, 2, 5], [And(-2^(1/
2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-33197267/
16777216, -66394533/33554432], [3, 3]]]], [[3, 16, 7, 3, 1], [And(-2^(1/2) < v
,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [1/2, 1/2], [-2, -2], [-3, -3]]]], [[3, 16, 7, 3, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-2, -2], [-1284239/
1048576, -642119/524288]]]], [[3, 16, 7, 3, 3], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [1/2, 1/2], [-2, -2], [0, 0]]]], [[3, 16, 7, 3
, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-2, -2], [642119/
524288, 1284239/1048576]]]], [[3, 16, 7, 3, 5], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-2, -2], [3, 3]]]], [[4, 3, 6, 5, 1], [v = -1, And(-3^(
1/2) < u,u < -2^(1/2)), x = 0, And(0 < y,y < u^2-2), z = z], [regular_chain, [
[-1, -1], [-6598195/4194304, -6598195/4194304], [0, 0], [248903/1048576, 
248903/1048576], [0, 0]]]], [[4, 5, 1, 6, 1], [v = -1, And(-2^(1/2) < u,u < -1
), x < -u^2, y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576
], [-2, -2]]]], [[4, 5, 1, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2,
y = u^2-x-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-3, -3], [1288231/524288, 2576463/1048576], [-\
772605/1048576, -1545209/2097152]]]], [[4, 5, 1, 6, 3], [v = -1, And(-2^(1/2)
< u,u < -1), x < -u^2, y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2)
)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3],
[1288231/524288, 2576463/1048576], [-1/4194304, -1/4194304]]]], [[4, 5, 1, 6,
4], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = u^2-x-2, z = (-u^2+2)^(1/
2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3]
, [1288231/524288, 2576463/1048576], [193151/262144, 772605/1048576]]]], [[4,
5, 1, 6, 5], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = u^2-x-2, (-u^2+2
)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-3, -3], [1288231/524288, 2576463/1048576], [2, 2]]]], [[4, 11, 7, 1, 1], [v
= -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y < -u^2-x, z < -(-x-y)^(1
/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [-3, -3], [-3, -3]]]], [[4, 11, 7, 1, 2], [v = -1,
And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y < -u^2-x, z = -(-x-y)^(1/2)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/
2097152, -569265/2097152], [-3, -3], [-7586297/4194304, -948287/524288]]]], [[
4, 11, 7, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y < -u
^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-3, -3
], [0, 0]]]], [[4, 11, 7, 1, 4], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 <
x,x < 0), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-3, -3], [
948287/524288, 1896575/1048576]]]], [[4, 11, 7, 1, 5], [v = -1, And(1 < u,u <
2^(1/2)), And(u^2-2 < x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/
2097152], [-3, -3], [3, 3]]]], [[4, 13, 1, 9, 1], [v = -1, And(2^(1/2) < u,u <
3^(1/2)), x < -u^2, u^2-x-2 < y, z = z], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-4, -4], [6, 6], [0, 0]]]], [[5, 1, 10, 2, 1], [
And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-35
/2, -35/2], [-5, -5]]]], [[5, 1, 10, 2, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(
1/2), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-35/2, -35/2], [-1637089/524288, -\
3274177/1048576]]]], [[5, 1, 10, 2, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2)
, x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^
(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-35/2, -35/2]
, [0, 0]]]], [[5, 1, 10, 2, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^
2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/
2], [-3, -3], [31/4, 31/4], [-35/2, -35/2], [3274177/1048576, 1637089/524288]]
]], [[5, 1, 10, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1,
y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [31/4, 31/4], [-35/2, -35/2], [5, 5]]]], [[5, 3, 3, 5, 1], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151
/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [1815885/
2097152, 1815885/2097152], [-2, -2]]]], [[5, 3, 3, 5, 2], [And(-1 < v,v < 0),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [1815885/
2097152, 1815885/2097152], [-7805831/8388608, -3902915/4194304]]]], [[5, 3, 3,
5, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^
2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885
/1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [-3/8388608,
-3/8388608]]]], [[5, 3, 3, 5, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(
1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-\
1815885/1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [60983
/65536, 975729/1048576]]]], [[5, 3, 3, 5, 5], [And(-1 < v,v < 0), And(-(v^2+2)
^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1815885/1048576, -1815885/1048576], [1815885/2097152, 1815885/
2097152], [2, 2]]]], [[5, 12, 6, 6, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2),
x = 0, y = 1, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [1, 1
], [0, 0]]]], [[5, 13, 10, 7, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u
^2-v^2-1, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4],
[1, 1], [0, 0]]]], [[6, 5, 1, 2, 1], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y
= 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [0, 0]
, [-3, -3]]]], [[6, 5, 1, 2, 2], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = 0,
z = -(-x)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [0, 0], [-\
1816187/1048576, -3632373/2097152]]]], [[6, 5, 1, 2, 3], [v = 0, And(-1 < u,u
< 0), x < -u^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[0, 0], [-1/2, -1/2], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[6, 5,
1, 2, 4], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = 0, z = (-x)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [0, 0], [908093/524288, 
1816187/1048576]]]], [[6, 5, 1, 2, 5], [v = 0, And(-1 < u,u < 0), x < -u^2-1,
y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [0, 0
], [3, 3]]]], [[6, 6, 3, 7, 1], [v = 0, u = 0, And(-1 < x,x < 0), -x < y, z =
z], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [2, 2], [0, 0]]]], [[7, 1,
4, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, u^2-v^2 < y, z = z],
[regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [10, 10], [0, 0]]]], [[7, 2,
7, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z
< -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-5,
-5], [-4, -4]]]], [[7, 2, 7, 1, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And
(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/
2, -3/2], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]], [[7, 2
, 7, 1, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [1/2, 1/2], [-5, -5], [0, 0]]]], [[7, 2, 7, 1, 4], [And(0 < v,v < 1), u
= -(v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-5, -5], [2224365/
1048576, 1112183/524288]]]], [[7, 2, 7, 1, 5], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[1/2,
1/2], [-3/2, -3/2], [1/2, 1/2], [-5, -5], [4, 4]]]], [[7, 7, 3, 1, 1], [And(0
< v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z <
-(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-2, -2], [
-3, -3]]]], [[7, 7, 3, 1, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^
2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [0, 0], [-9/8, -9/8], [-2, -2], [-7414553/4194304, -926819/524288]]]], [[
7, 7, 3, 1, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1
), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1/2, 1/2], [0, 0], [-9/8, -9/8], [-2, -2], [0, 0]]]], [[7, 7, 3, 1, 4], [And
(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1,
z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-2, -2]
, [926819/524288, 1853639/1048576]]]], [[7, 7, 3, 1, 5], [And(0 < v,v < 1), 
And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-2, -2], [3, 3]]]], [[
7, 8, 6, 3, 1], [And(0 < v,v < 1), u = v, x = 1, And(-2 < y,y < -1), z < -(-y-\
1)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-3/2, -3/2], [-2,
-2]]]], [[7, 8, 6, 3, 2], [And(0 < v,v < 1), u = v, x = 1, And(-2 < y,y < -1),
z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-3/2, -3
/2], [-1482911/2097152, -741455/1048576]]]], [[7, 8, 6, 3, 3], [And(0 < v,v <
1), u = v, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))]
, [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-3/2, -3/2], [0, 0]]]], [[
7, 8, 6, 3, 4], [And(0 < v,v < 1), u = v, x = 1, And(-2 < y,y < -1), z = (-y-1
)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-3/2, -3/2], [
741455/1048576, 46341/65536]]]], [[7, 8, 6, 3, 5], [And(0 < v,v < 1), u = v, x
= 1, And(-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2,
1/2], [1, 1], [-3/2, -3/2], [2, 2]]]], [[7, 11, 10, 6, 1], [And(0 < v,v < 1),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = u^2-v^2-2, z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-281267/
524288, -1125067/2097152], [0, 0]]]], [[7, 13, 4, 2, 1], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain
, [[1/2, 1/2], [3, 3], [-1, -1], [-35/4, -35/4], [-5, -5]]]], [[7, 13, 4, 2, 2
], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, z = -(u^2-v^2+1
)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-35/4, -35/4], [-\
1637089/524288, -3274177/1048576]]]], [[7, 13, 4, 2, 3], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2
+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-35/4, -35/4], [0
, 0]]]], [[7, 13, 4, 2, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y =
-u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1
], [-35/4, -35/4], [3274177/1048576, 1637089/524288]]]], [[7, 13, 4, 2, 5], [
And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-35/4, -35/4], [5, 5]]]],
[[8, 3, 11, 7, 1], [v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, And(u^2-x-2
< y,y < 0), z = z], [regular_chain, [[1, 1], [-6598195/4194304, -6598195/
4194304], [2, 2], [-3198691/4194304, -3198691/4194304], [0, 0]]]], [[8, 5, 7,
3, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(-u^2-x < y,
y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [-569265/2097152, -569265/2097152], [-1527887/2097152, -\
1527887/2097152], [-2, -2]]]], [[8, 5, 7, 3, 2], [v = 1, And(-2^(1/2) < u,u <
-1), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [-1527887/2097152, -1527887/2097152], [-1, -1]]]], [[8, 5,
7, 3, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(-u^2-x <
y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152],
[-1527887/2097152, -1527887/2097152], [0, 0]]]], [[8, 5, 7, 3, 4], [v = 1, And
(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), And(-u^2-x < y,y < u^2-x-2), z =
(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576],
[-569265/2097152, -569265/2097152], [-1527887/2097152, -1527887/2097152], [1,
1]]]], [[8, 5, 7, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0
), And(-u^2-x < y,y < u^2-x-2), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1527887/2097152, -1527887/2097152], [2, 2]]]], [[8, 12, 1, 3, 1], [v = 1, u =
2^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1,
1], [741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[8,
12, 1, 3, 2], [v = 1, u = 2^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [1/
2, 1/2], [-3315889/2097152, -207243/131072]]]], [[8, 12, 1, 3, 3], [v = 1, u =
2^(1/2), x < -2, And(0 < y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [1/2, 1
/2], [0, 0]]]], [[8, 12, 1, 3, 4], [v = 1, u = 2^(1/2), x < -2, And(0 < y,y <
-x-2), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/
1048576], [-3, -3], [1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[8, 12,
1, 3, 5], [v = 1, u = 2^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) < z],
[regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [1/2, 1/2
], [3, 3]]]], [[8, 13, 7, 8, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 <
x,x < u^2-2), y = u^2-x-2, z = z], [regular_chain, [[1, 1], [3299097/2097152,
3299097/2097152], [497805/2097152, 497805/2097152], [248903/1048576, 31113/
131072], [0, 0]]]], [[9, 2, 4, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1
/2), x = -1, y = 0, z < -1], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [0, 0], [-2, -2]]]],
[[9, 2, 4, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y = 0,
z = -1], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [0, 0], [-1, -1]]]], [[9, 2, 4, 4, 3], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [0, 0], [0, 0]]]], [[9, 2, 4, 4, 4], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [0, 0], [1, 1]]]], [[9, 2, 4, 4, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2
)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [0, 0], [2, 2]]]], [
[9, 3, 9, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [-3374389/1048576, -\
843597/262144], [-3, -3]]]], [[9, 3, 9, 2, 2], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x
-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/
1048576], [-3374389/1048576, -843597/262144], [-3301741/2097152, -825435/
524288]]]], [[9, 3, 9, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, And(-(u^2-v^2
+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 
775271/1048576], [-3374389/1048576, -843597/262144], [0, 0]]]], [[9, 3, 9, 2,
4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u
^2-v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [-3374389/1048576, -843597/262144], [825435/
524288, 1650871/1048576]]]], [[9, 3, 9, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y = -u^2+v^2-x
-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [
-3374389/1048576, -843597/262144], [3, 3]]]], [[9, 13, 5, 1, 1], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+
v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/
4194304], [-2, -2], [-3, -3]]]], [[9, 13, 5, 1, 2], [And(1 < v,v < 2^(1/2)), 
And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-2, -2], [-\
1743993/1048576, -3487985/2097152]]]], [[9, 13, 5, 1, 3], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 13, 5, 1, 4], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1
), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-2, -2], [217999/131072, 1743993/1048576]]]], [[9, 13, 5, 1
, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^
2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-2, -2], [3, 3]]]], [[9, 14, 9, 4, 1], [And(1 < v
,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [
-2, -2], [-1, -1]]]], [[9, 14, 9, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^
(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1643659/1048576, 410915/262144], [2, 2], [-2, -2], [0, 0]]]], [[9,
14, 9, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = -x, 0 < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-2, -2], [1, 1]]]], [[10, 1, 8, 2, 1], [v = 2^(1/2),
u < -2, x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [1, 1], [-9, -9], [-4, -4]]]], [[10, 1, 8, 2, 2],
[v = 2^(1/2), u < -2, x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-9, -9], [-2965821/1048576
, -11863283/4194304]]]], [[10, 1, 8, 2, 3], [v = 2^(1/2), u < -2, x = 1, y = -
u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1, 1], [-9, -9], [-3/8388608, -3/8388608]
]]], [[10, 1, 8, 2, 4], [v = 2^(1/2), u < -2, x = 1, y = -u^2, z = (u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-9,
-9], [741455/262144, 2965821/1048576]]]], [[10, 1, 8, 2, 5], [v = 2^(1/2), u <
-2, x = 1, y = -u^2, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [1, 1], [-9, -9], [4, 4]]]], [[10, 3, 1, 7, 1], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-x < y,y < u^2-x-3), z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [8894075/2097152, 8894075/2097152], [0, 0]]]], [[
10, 9, 5, 2, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = u^2-x
-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-1/2, -1/2], [-1/2, -1/2], [-9/4, -9/4], [-3, -3]]]], [[10, 9, 5, 2, 2], [v =
2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = u^2-x-3, z = -(-u^2+3)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1
/2], [-9/4, -9/4], [-1738867/1048576, -3477733/2097152]]]], [[10, 9, 5, 2, 3],
[v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y = u^2-x-3, And(-(-u^2+3)
^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/2, -1/2], [-9/4, -9/4], [-1/4194304, -1/4194304]]]
], [[10, 9, 5, 2, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y =
u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1/2, -1/2], [-1/2, -1/2], [-9/4, -9/4], [869433/524288, 1738867/1048576]]
]], [[10, 9, 5, 2, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), y =
u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-1/2, -1/2], [-1/2, -1/2], [-9/4, -9/4], [3, 3]]]], [[10, 10, 7, 7, 1], [v
= 2^(1/2), u = 0, And(0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain
, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [1/4, 1/4], [0, 0]]]]
, [[10, 15, 3, 1, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x <
-1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [-2, -2], [-3, -3]]]], [[10, 15, 3, 1, 2], [v = 2^(1/2), And
(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [-2, -2], [-7546685/4194304, -\
1886671/1048576]]]], [[10, 15, 3, 1, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-u^2+1 < x,x < -1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097
/2097152], [-2594957/2097152, -2594957/2097152], [-2, -2], [0, 0]]]], [[10, 15
, 3, 1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y <
-u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-\
2, -2], [1886671/1048576, 117917/65536]]]], [[10, 15, 3, 1, 5], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y < -u^2-x+1, (-x-y)^(1/2) < z
], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [-2, -2], [3, 3]]]], [
[10, 16, 6, 5, 1], [v = 2^(1/2), u = 3^(1/2), x = 0, 0 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [1, 1], [0, 0]]]], [[10, 19, 7, 3, 1], [v = 2^(1/2), 2 < u,
And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-9/2, -9/2], [-3, -3
]]]], [[10, 19, 7, 3, 2], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), And(-u^2-x+1
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1/2, 1/2], [-9/2, -9/2], [-2, -2]]]], [[10, 19, 7, 3, 3], [
v = 2^(1/2), 2 < u, And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[3, 3], [1/2, 1/2], [-9/2, -9/2], [0, 0]]]], [[10, 19, 7, 3, 4], [v = 2^(1/2),
2 < u, And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-9/2, -\
9/2], [2, 2]]]], [[10, 19, 7, 3, 5], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), 
And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [3, 3], [1/2, 1/2], [-9/2, -9/2], [3, 3]]]], [[11, 1, 9, 6,
1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = 0, z = z],
[regular_chain, [[3, 3], [-5, -5], [8, 8], [0, 0], [0, 0]]]], [[11, 5, 10, 6,
1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = -1, z < 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-1, -1], [-\
1, -1]]]], [[11, 5, 10, 6, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x
= 1, y = -1, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [1, 1], [-1, -1], [0, 0]]]], [[11, 5, 10, 6, 3], [2^(1/2) < v, And(-(v^2+1)^
(1/2) < u,u < -v), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [1, 1], [-1, -1], [1, 1]]]], [[11, 7, 7, 7, 1], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(0 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [-516571/2097152, -516571/2097152], [258285/2097152, 258285/
2097152], [-2, -2]]]], [[11, 7, 7, 7, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1
)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [258285/2097152, 258285/2097152], [-183995/524288, -367989
/1048576]]]], [[11, 7, 7, 7, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
516571/2097152, -516571/2097152], [258285/2097152, 258285/2097152], [0, 0]]]],
[[11, 7, 7, 7, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-\
1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [
258285/2097152, 258285/2097152], [367989/1048576, 183995/524288]]]], [[11, 7,
7, 7, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x <
0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [258285/
2097152, 258285/2097152], [2, 2]]]], [[11, 13, 5, 4, 1], [2^(1/2) < v, And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)],
[regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0, 0
], [-2, -2]]]], [[11, 13, 5, 4, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v
^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0, 0], [-1482911/2097152,
-741455/1048576]]]], [[11, 13, 5, 4, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2)
)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [
0, 0], [0, 0]]]], [[11, 13, 5, 4, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3
, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0, 0], [741455/1048576,
46341/65536]]]], [[11, 13, 5, 4, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (
v^2-1)^(1/2)), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3,
3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 
14, 9, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, 0 < y, z = z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [1, 1], [0,
0]]]], [[11, 19, 5, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-\
133818123/134217728, -133818123/134217728], [-3, -3]]]], [[11, 19, 5, 3, 2], [
2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(
-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811
/1048576, 3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -133818123/
134217728], [-1282963/1048576, -641481/524288]]]], [[11, 19, 5, 3, 3], [2^(1/2
) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v
^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-133818123/
134217728, -133818123/134217728], [0, 0]]]], [[11, 19, 5, 3, 4], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [-1/2, -1/2], [-133818123/134217728, -133818123/134217728],
[641481/524288, 1282963/1048576]]]], [[11, 19, 5, 3, 5], [2^(1/2) < v, And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [-133818123/134217728, -133818123/134217728], [3, 3]]]
], [[11, 20, 7, 8, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y =
1-x, z = z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1/2,
1/2], [1/2, 1/2], [0, 0]]]], [[1, 5, 4, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [-2, -2]]]], [[1, 5, 4, 5, 2], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [517383/
2097152, 517383/2097152], [-3640339/4194304, -1820169/2097152]]]], [[1, 5, 4,
5, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2
-v^2), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-1, -1], [517383/2097152, 517383/2097152], [-\
1/4194304, -1/4194304]]]], [[1, 5, 4, 5, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2)
< u,u < v), x = -1, And(0 < y,y < u^2-v^2), z = (1-y)^(1/2)], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [517383/2097152, 517383
/2097152], [227521/262144, 910085/1048576]]]], [[1, 5, 4, 5, 5], [v < -2^(1/2)
, And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(0 < y,y < u^2-v^2), (1-y)^(1/2) <
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [
517383/2097152, 517383/2097152], [2, 2]]]], [[1, 7, 1, 2, 1], [v < -2^(1/2), 
And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0,
0], [-3, -3]]]], [[1, 7, 1, 2, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)
), x < u^2-v^2-1, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [0, 0], [-1816187/1048576, -\
3632373/2097152]]]], [[1, 7, 1, 2, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x < u^2-v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0,
0], [-1/4194304, -1/4194304]]]], [[1, 7, 1, 2, 4], [v < -2^(1/2), And(v < u,u
< -(v^2-1)^(1/2)), x < u^2-v^2-1, y = 0, z = (-x)^(1/2)], [regular_chain, [[-3
, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [0, 0], [908093/524288,
1816187/1048576]]]], [[1, 7, 1, 2, 5], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(
1/2)), x < u^2-v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [0, 0], [3, 3]]]], [[1, 11, 2, 4
, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1,
y = -u^2+v^2+1, z < 0], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [10, 10
], [-1, -1]]]], [[1, 11, 2, 4, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (
v^2-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-3, -3
], [0, 0], [-10, -10], [10, 10], [0, 0]]]], [[1, 11, 2, 4, 3], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 <
z], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [10, 10], [1, 1]]]], [[1, 
12, 4, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 1), z <
-(1-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1,
-1], [1/2, 1/2], [-2, -2]]]], [[1, 12, 4, 5, 2], [v < -2^(1/2), u = (v^2-2)^(1
/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [
2774271/1048576, 10837/4096], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455
/1048576]]]], [[1, 12, 4, 5, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And
(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -\
3], [2774271/1048576, 10837/4096], [-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 12, 4
, 5, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)
^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [
1/2, 1/2], [741455/1048576, 46341/65536]]]], [[1, 12, 4, 5, 5], [v < -2^(1/2),
u = (v^2-2)^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1
, 18, 7, 7, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x < 1), 0 < y, z =
z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [1/2, 1/2], [1
, 1], [0, 0]]]], [[1, 20, 1, 3, 1], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3,
And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[1, 20, 1, 3, 2]
, [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4],
[1/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[1, 20, 1, 3, 3], [v < -2^
(1/2), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288]
, [-4, -4], [1/2, 1/2], [0, 0]]]], [[1, 20, 1, 3, 4], [v < -2^(1/2), u = (v^2+
2)^(1/2), x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[-3
, -3], [3477733/1048576, 1738867/524288], [-4, -4], [1/2, 1/2], [980853/524288
, 1961707/1048576]]]], [[1, 20, 1, 3, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x
< -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-4, -4], [1/2, 1/2], [3, 3]]]], [[2, 2, 9,
7, 1], [v = -2^(1/2), u = -2, 1 < x, And(1-x < y,y < 0), z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-1/2, -\
1/2], [0, 0]]]], [[2, 4, 3, 3, 1], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x <
-1), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[-1/4, -1/4], [-3, -3]]]], [[2, 4, 3, 3, 2], [v = -2^(1/2), u = -3^(1/2), And(
-2 < x,x < -1), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2,
-3/2], [-1/4, -1/4], [-10837/8192, -1387135/1048576]]]], [[2, 4, 3, 3, 3], [v
= -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/4, -1/4], [0,
0]]]], [[2, 4, 3, 3, 4], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(
-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [-1/4, -1/
4], [1387135/1048576, 10837/8192]]]], [[2, 4, 3, 3, 5], [v = -2^(1/2), u = -3^
(1/2), And(-2 < x,x < -1), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [-1/4, -1/4], [3, 3]]]], [[2, 7, 8, 4, 1], [v
= -2^(1/2), And(v < u,u < -1), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [-2, -2]]]], [[2,
7, 8, 4, 2], [v = -2^(1/2), And(v < u,u < -1), x = 0, y = -u^2+1, z = -(u^2-1)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [-\
1417877/2097152, -354469/524288]]]], [[2, 7, 8, 4, 3], [v = -2^(1/2), And(v <
u,u < -1), x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [0, 0]]]], [[2, 7
, 8, 4, 4], [v = -2^(1/2), And(v < u,u < -1), x = 0, y = -u^2+1, z = (u^2-1)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [354469/524288,
708939/1048576]]]], [[2, 7, 8, 4, 5], [v = -2^(1/2), And(v < u,u < -1), x = 0,
y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-479311/1048576, -\
239655/524288], [2, 2]]]], [[2, 9, 3, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0),
And(u^2-3 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [15/16, 15/
16], [-2, -2]]]], [[2, 9, 3, 5, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-\
3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16]
, [-8122235/8388608, -16244469/16777216]]]], [[2, 9, 3, 5, 3], [v = -2^(1/2),
And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16], [-5/33554432, -5/33554432]]]], [[
2, 9, 3, 5, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16], [1015279/1048576, 63455
/65536]]]], [[2, 9, 3, 5, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,
x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [15/16, 15/16], [2, 2]
]]], [[2, 13, 4, 7, 1], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(-u^2+2 <
y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1, -1], [808921/1048576, 808921
/1048576], [-2, -2]]]], [[2, 13, 4, 7, 2], [v = -2^(1/2), And(1 < u,u < -v), x
= -1, And(-u^2+2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [
808921/1048576, 808921/1048576], [-501295/1048576, -250647/524288]]]], [[2, 13
, 4, 7, 3], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(-u^2+2 < y,y < 1), 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [808921/1048576,
808921/1048576], [0, 0]]]], [[2, 13, 4, 7, 4], [v = -2^(1/2), And(1 < u,u < -v
), x = -1, And(-u^2+2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [
808921/1048576, 808921/1048576], [250647/524288, 501295/1048576]]]], [[2, 13,
4, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(-u^2+2 < y,y < 1), (1-
y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1, -1], [808921/1048576, 808921/1048576], [2, 2]]
]], [[2, 15, 1, 4, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y =
-u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3, -3], [799673/524288, 1599347
/1048576], [-3, -3]]]], [[2, 15, 1, 4, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/
2)), x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [
799673/524288, 1599347/1048576], [-1273381/1048576, -318345/262144]]]], [[2, 
15, 1, 4, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = -u^2-x+1
, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [
799673/524288, 1599347/1048576], [0, 0]]]], [[2, 15, 1, 4, 4], [v = -2^(1/2),
And(-v < u,u < 3^(1/2)), x < -u^2+1, y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-3, -3], [799673/524288, 1599347/1048576], [318345/262144, 1273381/
1048576]]]], [[2, 15, 1, 4, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u
^2+1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [799673/524288,
1599347/1048576], [3, 3]]]], [[3, 1, 8, 5, 1], [And(-2^(1/2) < v,v < -1), u <
-(v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[3, 3,
1, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x < -u^2+v^2-1, y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [4, 4], [-\
1, -1]]]], [[3, 3, 1, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
4, -4], [4, 4], [0, 0]]]], [[3, 3, 1, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [4, 4], [1, 1]]]], [[3, 7, 6, 4, 1], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 0, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [0, 0],
[-2, -2]]]], [[3, 7, 6, 4, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-\
1)^(1/2)), x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [0, 0], [-1374407/2097152, -687203/1048576]]]
], [[3, 7, 6, 4, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-450371/1048576, -225185/524288], [0, 0], [0, 0]]]], [[3, 7
, 6, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2
+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [0, 0], [687203/1048576, 171801/262144]]]], [[3, 7, 6, 4, 5],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y =
0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [0, 0], [2, 2]]]], [[3, 9, 1, 5, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[0, 0], [-4, -4], [2906073/1048576, 2906073/1048576], [-3, -3]]]], [[3, 9, 1,
5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x
< u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [2906073/1048576, 
2906073/1048576], [-1162243/1048576, -581121/524288]]]], [[3, 9, 1, 5, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v
^2-1, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [
2906073/1048576, 2906073/1048576], [0, 0]]]], [[3, 9, 1, 5, 4], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2
-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-4, -4], [2906073/1048576, 2906073/1048576], [
581121/524288, 1162243/1048576]]]], [[3, 9, 1, 5, 5], [And(-2^(1/2) < v,v < -1
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-4, -4], [2906073/1048576, 2906073/1048576], [3, 3]]]], [[4
, 1, 1, 4, 1], [v = -1, u < -3^(1/2), x < -u^2, y = -u^2-x, z < u], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [1, 1], [-4, -4]]]], [[4, 1, 1
, 4, 2], [v = -1, u < -3^(1/2), x < -u^2, y = -u^2-x, z = u], [regular_chain,
[[-1, -1], [-3, -3], [-10, -10], [1, 1], [-3, -3]]]], [[4, 1, 1, 4, 3], [v = -\
1, u < -3^(1/2), x < -u^2, y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[-\
1, -1], [-3, -3], [-10, -10], [1, 1], [0, 0]]]], [[4, 1, 1, 4, 4], [v = -1, u
< -3^(1/2), x < -u^2, y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [-3, -3]
, [-10, -10], [1, 1], [3, 3]]]], [[4, 1, 1, 4, 5], [v = -1, u < -3^(1/2), x <
-u^2, y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [1
, 1], [4, 4]]]], [[4, 2, 3, 5, 1], [v = -1, u = -3^(1/2), And(-3 < x,x < -1),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-2, -2], [1, 1], [-2, -2]]]], [[4, 2, 3, 5, 2], [
v = -1, u = -3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)
], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2],
[1, 1], [-1, -1]]]], [[4, 2, 3, 5, 3], [v = -1, u = -3^(1/2), And(-3 < x,x < -\
1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [1,
1], [0, 0]]]], [[4, 2, 3, 5, 4], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-2, -2], [1, 1], [1, 1]]]], [[4, 2, 3, 5, 5], [v
= -1, u = -3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [1,
1], [2, 2]]]], [[4, 6, 5, 6, 1], [v = -1, u = -1, And(0 < x,x < 1), y = 0, z =
z], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [0, 0], [0, 0]]]], [[4, 8
, 1, 2, 1], [v = -1, u = 0, x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain, [
[-1, -1], [0, 0], [-3, -3], [0, 0], [-3, -3]]]], [[4, 8, 1, 2, 2], [v = -1, u
= 0, x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3,
-3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[4, 8, 1, 2, 3], [v = -\
1, u = 0, x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain,
[[-1, -1], [0, 0], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[4, 8, 1, 2
, 4], [v = -1, u = 0, x < -2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1
], [0, 0], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[4, 8, 1, 2
, 5], [v = -1, u = 0, x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1
], [0, 0], [-3, -3], [0, 0], [3, 3]]]], [[4, 14, 5, 1, 1], [v = -1, u = 3^(1/2
), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1],
[908093/524288, 1816187/1048576], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[4, 14
, 5, 1, 2], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/
2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1/2]
, [-4, -4], [-1112183/524288, -2224365/1048576]]]], [[4, 14, 5, 1, 3], [v = -1
, u = 3^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1/2, -1
/2], [-4, -4], [0, 0]]]], [[4, 14, 5, 1, 4], [v = -1, u = 3^(1/2), And(-1 < x,
x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288
, 1816187/1048576], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]
]], [[4, 14, 5, 1, 5], [v = -1, u = 3^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-
y)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-\
1/2, -1/2], [-4, -4], [4, 4]]]], [[4, 15, 9, 2, 1], [v = -1, 3^(1/2) < u, And(
1 < x,x < u^2-2), y = -u^2-x, z < -u], [regular_chain, [[-1, -1], [3, 3], [4,
4], [-13, -13], [-4, -4]]]], [[4, 15, 9, 2, 2], [v = -1, 3^(1/2) < u, And(1 <
x,x < u^2-2), y = -u^2-x, z = -u], [regular_chain, [[-1, -1], [3, 3], [4, 4],
[-13, -13], [-3, -3]]]], [[4, 15, 9, 2, 3], [v = -1, 3^(1/2) < u, And(1 < x,x
< u^2-2), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [3, 3], [
4, 4], [-13, -13], [0, 0]]]], [[4, 15, 9, 2, 4], [v = -1, 3^(1/2) < u, And(1 <
x,x < u^2-2), y = -u^2-x, z = u], [regular_chain, [[-1, -1], [3, 3], [4, 4], [
-13, -13], [3, 3]]]], [[4, 15, 9, 2, 5], [v = -1, 3^(1/2) < u, And(1 < x,x < u
^2-2), y = -u^2-x, u < z], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-13, -\
13], [4, 4]]]], [[5, 4, 7, 7, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(
0 < x,x < 1), 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -\
1172343/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[5, 6, 1, 3, 1], [And(-1 < v
,v < 0), u = v, x < -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1/2, 1/2], [-3, -3]]]],
[[5, 6, 1, 3, 2], [And(-1 < v,v < 0), u = v, x < -1, And(0 < y,y < -1-x), z =
-(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1/2, 1
/2], [-1284239/1048576, -642119/524288]]]], [[5, 6, 1, 3, 3], [And(-1 < v,v <
0), u = v, x < -1, And(0 < y,y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1/2, 1/2], [0, 0]]
]], [[5, 6, 1, 3, 4], [And(-1 < v,v < 0), u = v, x < -1, And(0 < y,y < -1-x),
z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [1/2
, 1/2], [642119/524288, 1284239/1048576]]]], [[5, 6, 1, 3, 5], [And(-1 < v,v <
0), u = v, x < -1, And(0 < y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [-1/2, -1/2], [-2, -2], [1/2, 1/2], [3, 3]]]], [[5, 9, 9, 1, 1], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v
^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[5, 9, 9, 1, 2], [And(-1
< v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1,
z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/
2097152], [1/2, 1/2], [-3, -3], [-3315889/2097152, -207243/131072]]]], [[5, 9,
9, 1, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0 < x,x < 1),
y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-3, -3], [0, 0]]
]], [[5, 9, 9, 1, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(0
< x,x < 1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [1/2, 1/2], [-3, -3], [207243/131072, 
1657945/1048576]]]], [[5, 9, 9, 1, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2
+1)^(1/2)), And(0 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [1/2, 1/2],
[-3, -3], [3, 3]]]], [[5, 11, 3, 9, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [4, 4], [0, 0]]]], [[6, 1, 11, 9, 1], [v = 0, u <
-2^(1/2), u^2-1 < x, 0 < y, z = z], [regular_chain, [[0, 0], [-3, -3], [9, 9],
[1, 1], [0, 0]]]], [[6, 3, 5, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1), And(-1
< x,x < 0), y < -u^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[6,
3, 5, 1, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y < -u^2-x-1
, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[6,
3, 5, 1, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y < -u^2-x-1
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[6, 3, 5, 1,
4], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y < -u^2-x-1, z = (-x
-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1
/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[6, 3, 5, 1, 5], [v
= 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y < -u^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2
], [-3, -3], [3, 3]]]], [[6, 9, 9, 2, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(
u^2-1 < x,x < 1), y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[1265743/1048576, 1265743/1048576], [1527887/2097152, 1527887/2097152], [-\
3340407/1048576, -1670203/524288], [-3, -3]]]], [[6, 9, 9, 2, 2], [v = 0, And(
1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y = -u^2-x-1, z = -(u^2+1)^(1/2)], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152,
1527887/2097152], [-3340407/1048576, -1670203/524288], [-410915/262144, -\
3287319/2097152]]]], [[6, 9, 9, 2, 3], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2
-1 < x,x < 1), y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/2097152,
1527887/2097152], [-3340407/1048576, -1670203/524288], [-1/4194304, -1/4194304
]]]], [[6, 9, 9, 2, 4], [v = 0, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1),
y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [1527887/2097152, 1527887/2097152], [-3340407/1048576, -\
1670203/524288], [1643659/1048576, 410915/262144]]]], [[6, 9, 9, 2, 5], [v = 0
, And(1 < u,u < 2^(1/2)), And(u^2-1 < x,x < 1), y = -u^2-x-1, (u^2+1)^(1/2) <
z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [1527887/
2097152, 1527887/2097152], [-3340407/1048576, -1670203/524288], [3, 3]]]], [[6
, 11, 2, 1, 1], [v = 0, 2^(1/2) < u, x = -u^2-1, y < 0, z < -(u^2-y+1)^(1/2)],
[regular_chain, [[0, 0], [3, 3], [-10, -10], [-1, -1], [-5, -5]]]], [[6, 11, 2
, 1, 2], [v = 0, 2^(1/2) < u, x = -u^2-1, y < 0, z = -(u^2-y+1)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-10, -10], [-1, -1], [-1738867/524288, -\
3477733/1048576]]]], [[6, 11, 2, 1, 3], [v = 0, 2^(1/2) < u, x = -u^2-1, y < 0
, And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [3,
3], [-10, -10], [-1, -1], [0, 0]]]], [[6, 11, 2, 1, 4], [v = 0, 2^(1/2) < u, x
= -u^2-1, y < 0, z = (u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-10,
-10], [-1, -1], [3477733/1048576, 1738867/524288]]]], [[6, 11, 2, 1, 5], [v =
0, 2^(1/2) < u, x = -u^2-1, y < 0, (u^2-y+1)^(1/2) < z], [regular_chain, [[0,
0], [3, 3], [-10, -10], [-1, -1], [5, 5]]]], [[7, 3, 10, 3, 1], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y <
-1), z < -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151
/262144], [1, 1], [-2340173/1048576, -2340173/1048576], [-3, -3]]]], [[7, 3, 
10, 3, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-343151/262144, -343151/262144], [1, 1], [-2340173/1048576, -2340173/
1048576], [-1163761/1048576, -72735/65536]]]], [[7, 3, 10, 3, 3], [And(0 < v,v
< 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[1/2, 1/2],
[-343151/262144, -343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576]
, [0, 0]]]], [[7, 3, 10, 3, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-\
2340173/1048576, -2340173/1048576], [72735/65536, 1163761/1048576]]]], [[7, 3,
10, 3, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2],
[-343151/262144, -343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576]
, [3, 3]]]], [[7, 5, 5, 2, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [-159059/262144, -1272471/2097152], [-3, -3]]]], [
[7, 5, 5, 2, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x
,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [-159059/262144, -1272471/2097152], [-19417/16384, -1242687/1048576]
]]], [[7, 5, 5, 2, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(
-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v
^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [-159059/262144, -1272471/
2097152], [0, 0]]]], [[7, 5, 5, 2, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995
/2097152, -1672995/2097152], [-159059/262144, -1272471/2097152], [1242687/
1048576, 19417/16384]]]], [[7, 5, 5, 2, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1
/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [-159059/262144, -1272471/2097152], [3, 3]
]]], [[8, 1, 6, 4, 1], [v = 1, u < -3^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[1, 1], [-3, -3], [0, 0], [0, 0], [-1, -1]]]], [[8, 1, 6, 4, 2
], [v = 1, u < -3^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[1, 1], [-3, -\
3], [0, 0], [0, 0], [0, 0]]]], [[8, 1, 6, 4, 3], [v = 1, u < -3^(1/2), x = 0,
y = 0, 0 < z], [regular_chain, [[1, 1], [-3, -3], [0, 0], [0, 0], [1, 1]]]], [
[8, 2, 9, 2, 1], [v = 1, u = -3^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -5]
, [-3, -3]]]], [[8, 2, 9, 2, 2], [v = 1, u = -3^(1/2), 1 < x, y = -x-3, z = -3
^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2]
, [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[8, 2, 9, 2, 3], [v = 1,
u = -3^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-5, -5], [-1/4194304,
-1/4194304]]]], [[8, 2, 9, 2, 4], [v = 1, u = -3^(1/2), 1 < x, y = -x-3, z = 3
^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2]
, [-5, -5], [908093/524288, 1816187/1048576]]]], [[8, 2, 9, 2, 5], [v = 1, u =
-3^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [2, 2], [-5, -5], [3, 3]]]], [[8, 7, 4, 5, 1], [v
= 1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z < -(1-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [-2, -2]]]], [[8,
7, 4, 5, 2], [v = 1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z = -(1
-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [-\
3315889/4194304, -207243/262144]]]], [[8, 7, 4, 5, 3], [v = 1, And(-1 < u,u <
0), x = -1, And(0 < y,y < -u^2+1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [0, 0]]]], [[8, 7,
4, 5, 4], [v = 1, And(-1 < u,u < 0), x = -1, And(0 < y,y < -u^2+1), z = (1-y)^
(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/8, 3/8], [207243/
262144, 828973/1048576]]]], [[8, 7, 4, 5, 5], [v = 1, And(-1 < u,u < 0), x = -\
1, And(0 < y,y < -u^2+1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1
/2], [-1, -1], [3/8, 3/8], [2, 2]]]], [[8, 8, 8, 6, 1], [v = 1, u = 0, x = 1,
y = 0, z = z], [regular_chain, [[1, 1], [0, 0], [1, 1], [0, 0], [0, 0]]]], [[8
, 15, 1, 3, 1], [v = 1, 3^(1/2) < u, x < -u^2, And(0 < y,y < -u^2-x), z < -(-x
-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [1/2, 1/2], [-5, -5]]
]], [[8, 15, 1, 3, 2], [v = 1, 3^(1/2) < u, x < -u^2, And(0 < y,y < -u^2-x), z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [1/2, 1/2], [-\
3231929/1048576, -403991/131072]]]], [[8, 15, 1, 3, 3], [v = 1, 3^(1/2) < u, x
< -u^2, And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [1/2, 1/2], [0, 0]]]], [[8, 15, 1,
3, 4], [v = 1, 3^(1/2) < u, x < -u^2, And(0 < y,y < -u^2-x), z = (-x-y)^(1/2)]
, [regular_chain, [[1, 1], [3, 3], [-10, -10], [1/2, 1/2], [403991/131072, 
3231929/1048576]]]], [[8, 15, 1, 3, 5], [v = 1, 3^(1/2) < u, x < -u^2, And(0 <
y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-10, -10],
[1/2, 1/2], [5, 5]]]], [[9, 1, 3, 8, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)
^(1/2), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/
2097152], [11863945/1048576, 5931973/524288], [0, 0]]]], [[9, 5, 4, 6, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, z
< -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-5818805/4194304, -5818805/4194304], [-1, -1], [122559/262144, 490237/1048576]
, [-2, -2]]]], [[9, 5, 4, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) <
u,u < -v), x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1,
-1], [122559/262144, 490237/1048576], [-1530309/2097152, -382577/524288]]]], [
[9, 5, 4, 6, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x =
-1, y = u^2-v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-1, -1], [122559/262144, 490237/1048576], [0, 0]]]], [[9, 5
, 4, 6, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y
= u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [122559/262144, 
490237/1048576], [382577/524288, 765155/1048576]]]], [[9, 5, 4, 6, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, y = u^2-v^2, (-u^2+v
^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [122559/262144, 490237/1048576],
[2, 2]]]], [[9, 7, 1, 7, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^
(1/2)), x < u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [2920543/1048576, 2920543/1048576], [-2, -2]]]], [
[9, 7, 1, 7, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x <
u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [2920543/1048576, 2920543/1048576], [-242963/524288, -485925/1048576]]]],
[[9, 7, 1, 7, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x <
u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [2920543/1048576, 2920543/1048576], [0, 0]]]], [[9
, 7, 1, 7, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^
2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [2920543/1048576, 2920543/1048576], [485925/1048576, 242963/524288]]]], [
[9, 7, 1, 7, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x <
u^2-v^2-1, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [2920543/1048576, 2920543/1048576], [2, 2]]]], [[9, 10, 1, 3, 1], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z < -(-x-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-3, -3], [1/2, 1/2], [-3, -3]]]], [[9, 10, 1, 3, 2], [And(1
< v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), z = -(-x-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-3, -3], [1/2, 1/2], [-3315889/2097152, -207243/131072]]]],
[[9, 10, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(0 <
y,y < -x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3],
[1/2, 1/2], [0, 0]]]], [[9, 10, 1, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)
^(1/2), x < -2, And(0 < y,y < -x-2), z = (-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3],
[1/2, 1/2], [207243/131072, 1657945/1048576]]]], [[9, 10, 1, 3, 5], [And(1 < v
,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(0 < y,y < -x-2), (-x-y)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-3, -3], [1/2, 1/2], [3, 3]]]], [[9, 11, 7, 8, 1], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -
x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/1048576,
112593/524288], [-1, -1]]]], [[9, 11, 7, 8, 2], [And(1 < v,v < 2^(1/2)), And((
v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [225185/1048576, 112593/524288],
[0, 0]]]], [[9, 11, 7, 8, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), And(-u^2+v^2-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152,
-450371/2097152], [225185/1048576, 112593/524288], [1, 1]]]], [[9, 16, 1, 2, 1
], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = 0, z < -(-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [0, 0], [-3, -3]]]], [[9, 16, 1, 2, 2], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x < -3, y = 0, z = -(-x)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4],
[0, 0], [-2, -2]]]], [[9, 16, 1, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x < -3, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4],
[0, 0], [0, 0]]]], [[9, 16, 1, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/
2), x < -3, y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [121853/65536, 1949649/1048576], [-4, -4], [0, 0], [2, 2]]]], [[9,
16, 1, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = 0, (-x)^
(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536
, 1949649/1048576], [-4, -4], [0, 0], [3, 3]]]], [[9, 17, 5, 7, 1], [And(1 < v
,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-x < y,y < u^2-v^2-x-\
1), z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2
, -1/2], [7909297/2097152, 7909297/2097152], [0, 0]]]], [[10, 6, 1, 4, 1], [v
= 2^(1/2), u = -v, x < -1, y = -1-x, z < -1], [regular_chain, [[741455/524288,
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [-2, -\
2]]]], [[10, 6, 1, 4, 2], [v = 2^(1/2), u = -v, x < -1, y = -1-x, z = -1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [-1, -1]]]], [[10, 6, 1, 4, 3], [v = 2^(1/2), u = -
v, x < -1, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [0, 0]
]]], [[10, 6, 1, 4, 4], [v = 2^(1/2), u = -v, x < -1, y = -1-x, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [1, 1]]]], [[10, 6, 1, 4, 5], [v = 2^(1/2), u = -v,
x < -1, y = -1-x, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [
-1482911/1048576, -741455/524288], [-2, -2], [1, 1], [2, 2]]]], [[10, 7, 9, 7,
1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(-x < y,y < 0), z =
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 11, 10, 5, 1], [v
= 2^(1/2), And(0 < u,u < 1), x = 1, And(-1 < y,y < -u^2), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [1, 1], [-5/8, -\
5/8], [0, 0]]]], [[10, 13, 5, 8, 1], [v = 2^(1/2), And(1 < u,u < v), And(-1 <
x,x < -u^2+1), y = -x, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [763943/1048576, 95493/131072], [-1, -1]]]], [[10, 13, 5, 8, 2], [v
= 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [763943/1048576, 95493/131072]
, [0, 0]]]], [[10, 13, 5, 8, 3], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
763943/1048576, 95493/131072], [1, 1]]]], [[11, 3, 3, 5, 1], [2^(1/2) < v, And
(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y
,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/
1048576], [-2, -2]]]], [[11, 3, 3, 5, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-\
915943/524288, -915943/524288], [915943/1048576, 915943/1048576], [-7840147/
8388608, -3920073/4194304]]]], [[11, 3, 3, 5, 3], [2^(1/2) < v, And(-(v^2+2)^(
1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3396811/
1048576, -3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576,
915943/1048576], [-1/8388608, -1/8388608]]]], [[11, 3, 3, 5, 4], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/
1048576], [490009/524288, 980019/1048576]]]], [[11, 3, 3, 5, 5], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-915943/524288, -915943/524288], [915943/1048576, 915943/
1048576], [2, 2]]]], [[11, 4, 7, 4, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(
0 < x,x < 1), y = -x, z < 0], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[11, 4, 7, 4, 2], [2^(1
/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain,
[[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]
], [[11, 4, 7, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y =
-x, 0 < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2,
1/2], [-1/2, -1/2], [1, 1]]]], [[11, 9, 3, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z <
-(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-7357527/4194304, -7357527/4194304], [-395403/524288, -3163223/
4194304], [-3, -3]]]], [[11, 9, 3, 2, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-7357527/4194304, -7357527/4194304], [-395403/524288, -3163223/4194304], [-\
3321417/2097152, -415177/262144]]]], [[11, 9, 3, 2, 3], [2^(1/2) < v, And(-(v^
2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1
, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3
], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304
], [-395403/524288, -3163223/4194304], [0, 0]]]], [[11, 9, 3, 2, 4], [2^(1/2)
< v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y
= u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [-395403/
524288, -3163223/4194304], [415177/262144, 1660709/1048576]]]], [[11, 9, 3, 2,
5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 <
x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304],
[-395403/524288, -3163223/4194304], [3, 3]]]], [[11, 10, 5, 5, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2]
, [1/4, 1/4], [-2, -2]]]], [[11, 10, 5, 5, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2
), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2,
-1/2]]]], [[11, 10, 5, 5, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1
/4, 1/4], [0, 0]]]], [[11, 10, 5, 5, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And
(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]],
[[11, 10, 5, 5, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 16, 4, 3, 1], [2^
(1/2) < v, u = v, x = 0, And(-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain,
[[3, 3], [3, 3], [0, 0], [-1/2, -1/2], [-2, -2]]]], [[11, 16, 4, 3, 2], [2^(1/
2) < v, u = v, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[3
, 3], [3, 3], [0, 0], [-1/2, -1/2], [-1482911/2097152, -741455/1048576]]]], [[
11, 16, 4, 3, 3], [2^(1/2) < v, u = v, x = 0, And(-1 < y,y < 0), And(-(-y)^(1/
2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1/2, -1/2]
, [0, 0]]]], [[11, 16, 4, 3, 4], [2^(1/2) < v, u = v, x = 0, And(-1 < y,y < 0)
, z = (-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [0, 0], [-1/2, -1/2], [
741455/1048576, 46341/65536]]]], [[11, 16, 4, 3, 5], [2^(1/2) < v, u = v, x =
0, And(-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [3, 3], [0, 0]
, [-1/2, -1/2], [2, 2]]]], [[11, 17, 11, 7, 1], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [2, 2], [-1, -1], [0, 0]]]], [[1, 2, 4, 4, 1],
[v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-\
3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [0, 0], [-2, -2]]]], [[
1, 2, 4, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [0, 0
], [-1, -1]]]], [[1, 2, 4, 4, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y
= 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733
/1048576], [-1, -1], [0, 0], [0, 0]]]], [[1, 2, 4, 4, 4], [v < -2^(1/2), u = -
(v^2+2)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-1, -1], [0, 0], [1, 1]]]], [[1, 2, 4, 4, 5], [v <
-2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-3, -3]
, [-1738867/524288, -3477733/1048576], [-1, -1], [0, 0], [2, 2]]]], [[1, 3, 8,
5, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-\
1, And(-u^2+v^2+1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-129511/524288,
-129511/524288], [0, 0]]]], [[1, 8, 2, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2
), x = -2, 2 < y, z = z], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-2, -2], [3, 3], [0, 0]]]], [[1, 9, 8, 4, 1], [v < -2^(1/2
), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1,
z < 0], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
533035/1048576, 133259/262144], [-133259/262144, -1066071/2097152], [-1, -1]]]
], [[1, 9, 8, 4, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2))
, x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [regular_chain, [[-3, -3], [-22960369
/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [-133259/262144
, -1066071/2097152], [0, 0]]]], [[1, 9, 8, 4, 3], [v < -2^(1/2), And(-(v^2-1)^
(1/2) < u,u < -(v^2-2)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/
1048576, 133259/262144], [-133259/262144, -1066071/2097152], [1, 1]]]], [[1, 
15, 6, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, 
And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3]
, [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [
516571/2097152, 516571/2097152], [-2, -2]]]], [[1, 15, 6, 5, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z =
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [516571/2097152, 516571/2097152],
[-16263/32768, -520415/1048576]]]], [[1, 15, 6, 5, 3], [v < -2^(1/2), And((v^2
-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), And(-(u^2-v^2
-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [6111549
/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [516571/2097152
, 516571/2097152], [0, 0]]]], [[1, 15, 6, 5, 4], [v < -2^(1/2), And((v^2-1)^(1
/2) < u,u < -v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143
/262144, -516571/1048576], [516571/2097152, 516571/2097152], [520415/1048576,
16263/32768]]]], [[1, 15, 6, 5, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -
v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [516571/2097152, 516571/2097152], [2, 2]]]], [[1, 17, 3, 4,
1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-2614535/2097152, -2614535/2097152], [0, 0], [-3, -3]]]], [[1, 17, 3
, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [-1170799/
1048576, -585399/524288]]]], [[1, 17, 3, 4, 3], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [0, 0], [0, 0]]]], [[1, 17, 3, 4, 4], [v <
-2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [0, 0], [585399/524288, 1170799/1048576]]]
], [[1, 17, 3, 4, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [3, 3]]]
], [[1, 21, 4, 6, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = 1, z < 0],
[regular_chain, [[-3, -3], [5, 5], [-1, -1], [1, 1], [-1, -1]]]], [[1, 21, 4,
6, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = 1, z = 0], [regular_chain
, [[-3, -3], [5, 5], [-1, -1], [1, 1], [0, 0]]]], [[1, 21, 4, 6, 3], [v < -2^(
1/2), (v^2+2)^(1/2) < u, x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [5,
5], [-1, -1], [1, 1], [1, 1]]]], [[2, 1, 6, 5, 1], [v = -2^(1/2), u < -2, x =
0, And(0 < y,y < u^2-3), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [0, 0], [3, 3], [0, 0]]]], [[2, 10, 6, 3, 1], [v = -2^(1/2)
, u = 0, x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [0, 0], [-3/2, -3/2], [-3, -3]]]], [
[2, 10, 6, 3, 2], [v = -2^(1/2), u = 0, x = 0, And(-3 < y,y < 0), z = -(-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-3
/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[2, 10, 6, 3, 3], [v = -2^(
1/2), u = 0, x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-3/2, -3/
2], [0, 0]]]], [[2, 10, 6, 3, 4], [v = -2^(1/2), u = 0, x = 0, And(-3 < y,y <
0), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0,
0], [0, 0], [-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[2, 10, 6, 3,
5], [v = -2^(1/2), u = 0, x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-3/2, -3/
2], [3, 3]]]], [[2, 11, 10, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), x = 1, y =
-u^2, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2],
[1, 1], [-1/4, -1/4], [0, 0]]]], [[2, 16, 5, 3, 1], [v = -2^(1/2), u = 3^(1/2)
, And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [-3/4, -3/4], [-3, -3]]]], [[2, 16, 5, 3, 2], [v = -2^(1/2), u = 3^(1/2
), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [-3/4, -3/4], [-146543/131072, -1172343/1048576]]]], [[2, 16, 5, 3, 3],
[v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]
]], [[2, 16, 5, 3, 4], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(-x-2
< y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3/4, -3/4], [
1172343/1048576, 146543/131072]]]], [[2, 16, 5, 3, 5], [v = -2^(1/2), u = 3^(1
/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2
, -1/2], [-3/4, -3/4], [3, 3]]]], [[2, 17, 10, 5, 1], [v = -2^(1/2), And(3^(1/
2) < u,u < 2), x = 1, And(-1 < y,y < u^2-4), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1],
[-1591685/2097152, -1591685/2097152], [0, 0]]]], [[3, 4, 5, 5, 1], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[3,
4, 5, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4]
, [-1/2, -1/2]]]], [[3, 4, 5, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(
1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144
, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 4, 5, 5, 4], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-410915/262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [
[3, 4, 5, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [1/4, 1/4
], [2, 2]]]], [[3, 5, 10, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2)
< u,u < v), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-1/
2, -1/2], [0, 0]]]], [[3, 10, 5, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [0
, 0], [-2, -2]]]], [[3, 10, 5, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(
1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [0,
0], [-1482911/2097152, -741455/1048576]]]], [[3, 10, 5, 4, 3], [And(-2^(1/2) <
v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469
/524288, 708939/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[3, 10, 5, 4, 4],
[And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-
x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]
], [[3, 10, 5, 4, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x
,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[
3, 11, 10, 6, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x
= 1, y = -1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [1, 1], [-1, -1], [-1, -1]]]], [[3, 11, 10, 6
, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -1,
z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [1, 1], [-1, -1], [0, 0]]]], [[3, 11, 10, 6, 3], [And(-2^(1
/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = -1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [-1, -1], [1, 1]]]], [[3, 15, 5, 3, 1], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v
^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-66394533/
67108864, -66394533/67108864], [-3, -3]]]], [[3, 15, 5, 3, 2], [And(-2^(1/2) <
v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u
^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-66394533/
67108864, -66394533/67108864], [-639837/524288, -1279673/1048576]]]], [[3, 15,
5, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-1/2, -1/2], [-66394533/67108864, -66394533/67108864]
, [0, 0]]]], [[3, 15, 5, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-1/2, -1/2], [-66394533/67108864, -66394533/67108864]
, [1279673/1048576, 639837/524288]]]], [[3, 15, 5, 3, 5], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(-u^2+v
^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-66394533/
67108864, -66394533/67108864], [3, 3]]]], [[3, 16, 7, 4, 1], [And(-2^(1/2) < v
,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2,
1/2], [-1/2, -1/2], [-1, -1]]]], [[3, 16, 7, 4, 2], [And(-2^(1/2) < v,v < -1),
u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2
], [-1/2, -1/2], [0, 0]]]], [[3, 16, 7, 4, 3], [And(-2^(1/2) < v,v < -1), u =
(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-1/2
, -1/2], [1, 1]]]], [[4, 3, 6, 4, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)),
x = 0, y = 0, z < 0], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [0, 0], [0, 0], [-1, -1]]]], [[4, 3, 6, 4, 2], [v = -1, And(-3^(1/2)
< u,u < -2^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [0, 0], [0, 0], [0, 0]]]], [[4, 3, 6, 4, 3], [v =
-1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[-1
, -1], [-6598195/4194304, -6598195/4194304], [0, 0], [0, 0], [1, 1]]]], [[4, 5
, 1, 5, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(-u^2-x < y,y < u^
2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[4, 5, 1, 5, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), x < -u^2, And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(
1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -\
3], [2, 2], [-1, -1]]]], [[4, 5, 1, 5, 3], [v = -1, And(-2^(1/2) < u,u < -1),
x < -u^2, And(-u^2-x < y,y < u^2-x-2), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3],
[2, 2], [0, 0]]]], [[4, 5, 1, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1), x < -u
^2, And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-3, -3], [2, 2], [1, 1]]]], [[4, 5, 1,
5, 5], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, And(-u^2-x < y,y < u^2-x-2
), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-3, -3], [2, 2], [2, 2]]]], [[4, 11, 7, 2, 1], [v = -1, And(1 < u,u
< 2^(1/2)), And(u^2-2 < x,x < 0), y = -u^2-x, z < -u], [regular_chain, [[-1, -\
1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1243255/1048576, -621627/524288], [-3, -3]]]], [[4, 11, 7, 2, 2], [v = -1, And
(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -u^2-x, z = -u], [regular_chain
, [[-1, -1], [1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/
2097152], [-1243255/1048576, -621627/524288], [-1265743/1048576, -1265743/
1048576]]]], [[4, 11, 7, 2, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x
,x < 0), y = -u^2-x, And(-u < z,z < u)], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-1243255/
1048576, -621627/524288], [0, 0]]]], [[4, 11, 7, 2, 4], [v = -1, And(1 < u,u <
2^(1/2)), And(u^2-2 < x,x < 0), y = -u^2-x, z = u], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1243255/1048576, -621627/524288], [1265743/1048576, 1265743/1048576]]]], [[4,
11, 7, 2, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(u^2-2 < x,x < 0), y = -u^2-
x, u < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
569265/2097152, -569265/2097152], [-1243255/1048576, -621627/524288], [3, 3]]]
], [[4, 13, 2, 1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y < 0,
z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1297479/524288, -2594957/1048576], [-1, -1], [-3, -3]]]], [[4, 13,
2, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y < 0, z = -(u^2-y)
^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-\
1297479/524288, -2594957/1048576], [-1, -1], [-7818463/4194304, -3909231/
2097152]]]], [[4, 13, 2, 1, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^
2, y < 0, And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1
], [3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [-\
1, -1], [-1/4194304, -1/4194304]]]], [[4, 13, 2, 1, 4], [v = -1, And(2^(1/2) <
u,u < 3^(1/2)), x = -u^2, y < 0, z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [-1
, -1], [1954615/1048576, 244327/131072]]]], [[4, 13, 2, 1, 5], [v = -1, And(2^
(1/2) < u,u < 3^(1/2)), x = -u^2, y < 0, (u^2-y)^(1/2) < z], [regular_chain, [
[-1, -1], [3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/
1048576], [-1, -1], [3, 3]]]], [[5, 1, 10, 1, 1], [And(-1 < v,v < 0), u < -(v^
2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-19, -19], [-5, -5]]]],
[[5, 1, 10, 1, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y <
-2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3,
-3], [31/4, 31/4], [-19, -19], [-3517031/1048576, -1758515/524288]]]], [[5, 1,
10, 1, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2
*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain
, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-19, -19], [0, 0]]]], [[5, 1, 10, 1,
4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, z
= (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4]
, [-19, -19], [1758515/524288, 3517031/1048576]]]], [[5, 1, 10, 1, 5], [And(-1
< v,v < 0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [31/4, 31/4], [-19, -19
], [5, 5]]]], [[5, 3, 3, 4, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [0, 0], [-3, -3]]]], [[5, 3, 3, 4, 2], [And(-1 < v
,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1815885/1048576, -1815885/1048576], [0, 0], [-1379889/
1048576, -86243/65536]]]], [[5, 3, 3, 4, 3], [And(-1 < v,v < 0), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1815885/1048576, -1815885/1048576], [0, 0], [0, 0]]]], [[5,
3, 3, 4, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [
0, 0], [86243/65536, 1379889/1048576]]]], [[5, 3, 3, 4, 5], [And(-1 < v,v < 0)
, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y =
0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1815885/1048576, -1815885/1048576], [0, 0], [3, 3]]]], [[5, 12, 6,
7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, 1 < y, z = z], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [2, 2], [0, 0]]]], [[5, 13,
11, 1, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-
x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-20,
-20], [-5, -5]]]], [[5, 13, 11, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -\
1/2], [3, 3], [9, 9], [-20, -20], [-1738867/524288, -3477733/1048576]]]], [[5,
13, 11, 1, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+
v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [3, 3], [9, 9], [-20, -20], [0, 0]]]], [[5, 13, 11, 1, 4], [And(-1 < v,v <
0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-20, -20], [3477733/1048576, 
1738867/524288]]]], [[5, 13, 11, 1, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [3, 3], [9, 9], [-20, -20], [5, 5]]]], [[6, 5, 1, 1, 1], [v = 0, And(-1 <
u,u < 0), x < -u^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/
2, -1/2], [-3, -3], [-1, -1], [-3, -3]]]], [[6, 5, 1, 1, 2], [v = 0, And(-1 <
u,u < 0), x < -u^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/
2, -1/2], [-3, -3], [-1, -1], [-2, -2]]]], [[6, 5, 1, 1, 3], [v = 0, And(-1 <
u,u < 0), x < -u^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-1, -1], [0, 0]]]], [[6, 5, 1
, 1, 4], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-1, -1], [2, 2]]]], [[6, 5, 1
, 1, 5], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [-1, -1], [3, 3]]]], [[6, 6, 3
, 6, 1], [v = 0, u = 0, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[0
, 0], [0, 0], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[6, 6, 3, 6, 2], [v = 0,
u = 0, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[0, 0], [0, 0], [-1
/2, -1/2], [1/2, 1/2], [0, 0]]]], [[6, 6, 3, 6, 3], [v = 0, u = 0, And(-1 < x,
x < 0), y = -x, 0 < z], [regular_chain, [[0, 0], [0, 0], [-1/2, -1/2], [1/2, 1
/2], [1, 1]]]], [[7, 1, 5, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-\
1 < x,x < 0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [-3, -3], [-1/2, -1/2], [-11, -11], [-5, -5]]]], [[7, 1, 5, 1, 2], [And(0 <
v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)
^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-11, -11], [-\
3555895/1048576, -1777947/524288]]]], [[7, 1, 5, 1, 3], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1/2], [-11, -11
], [0, 0]]]], [[7, 1, 5, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1
< x,x < 0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2],
[-3, -3], [-1/2, -1/2], [-11, -11], [1777947/524288, 3555895/1048576]]]], [[7,
1, 5, 1, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-1 < x,x < 0), y < -u^
2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1/2, -1
/2], [-11, -11], [5, 5]]]], [[7, 2, 7, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^
(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[7, 2, 7, 2, 2], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-7/2, -7/2], [-1816187/
1048576, -3632373/2097152]]]], [[7, 2, 7, 2, 3], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), And(0 < x,x < 1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-7/2, -7/2], [-1/
4194304, -1/4194304]]]], [[7, 2, 7, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-3
/2, -3/2], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[7,
2, 7, 2, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3
, 3^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-7/2,
-7/2], [3, 3]]]], [[7, 7, 2, 7, 1], [And(0 < v,v < 1), And(-v < u,u < v), x =
u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4,
-5/4], [3, 3], [0, 0]]]], [[7, 8, 6, 2, 1], [And(0 < v,v < 1), u = v, x = 1, y
= -2, z < -1], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-2, -2], [-2,
-2]]]], [[7, 8, 6, 2, 2], [And(0 < v,v < 1), u = v, x = 1, y = -2, z = -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-2, -2], [-1, -1]]]], [[7, 8,
6, 2, 3], [And(0 < v,v < 1), u = v, x = 1, y = -2, And(-1 < z,z < 1)], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-2, -2], [0, 0]]]], [[7, 8, 6
, 2, 4], [And(0 < v,v < 1), u = v, x = 1, y = -2, z = 1], [regular_chain, [[1/
2, 1/2], [1/2, 1/2], [1, 1], [-2, -2], [1, 1]]]], [[7, 8, 6, 2, 5], [And(0 < v
,v < 1), u = v, x = 1, y = -2, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2]
, [1, 1], [-2, -2], [2, 2]]]], [[7, 11, 10, 5, 1], [And(0 < v,v < 1), And((v^2
+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-1 < y,y < u^2-v^2-2), z = z], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-805555/
1048576, -805555/1048576], [0, 0]]]], [[7, 13, 4, 1, 1], [And(0 < v,v < 1), (v
^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [3, 3], [-1, -1], [-10, -10], [-5, -5]]]], [[7, 13, 4, 1, 2], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-10, -10], [-1738867/524288, -\
3477733/1048576]]]], [[7, 13, 4, 1, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u,
x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain,
[[1/2, 1/2], [3, 3], [-1, -1], [-10, -10], [0, 0]]]], [[7, 13, 4, 1, 4], [And(
0 < v,v < 1), (v^2+2)^(1/2) < u, x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-1, -1], [-10, -10], [3477733/1048576, 
1738867/524288]]]], [[7, 13, 4, 1, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x
= -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-1
, -1], [-10, -10], [5, 5]]]], [[8, 3, 11, 8, 1], [v = 1, And(-3^(1/2) < u,u <
-2^(1/2)), 1 < x, y = 0, z = z], [regular_chain, [[1, 1], [-6598195/4194304, -\
6598195/4194304], [2, 2], [0, 0], [0, 0]]]], [[8, 5, 7, 4, 1], [v = 1, And(-2^
(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [-284633/1048576, -35579/131072], [-2, -2]]]], [[8, 5, 7,
4, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = u^2-x-2, z
= -(-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579/131072]
, [-772605/1048576, -1545209/2097152]]]], [[8, 5, 7, 4, 3], [v = 1, And(-2^(1/
2) < u,u < -1), And(u^2-2 < x,x < 0), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z <
(-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579/131072], [-1/
4194304, -1/4194304]]]], [[8, 5, 7, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), 
And(u^2-2 < x,x < 0), y = u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1
], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [
-284633/1048576, -35579/131072], [193151/262144, 772605/1048576]]]], [[8, 5, 7
, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = u^2-x-2,
(-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [-284633/1048576, -35579/131072]
, [2, 2]]]], [[8, 12, 1, 2, 1], [v = 1, u = 2^(1/2), x < -2, y = 0, z < -(-x)^
(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [
0, 0], [-3, -3]]]], [[8, 12, 1, 2, 2], [v = 1, u = 2^(1/2), x < -2, y = 0, z =
-(-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3,
-3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[8, 12, 1, 2, 3], [v =
1, u = 2^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [0, 0], [-\
1/4194304, -1/4194304]]]], [[8, 12, 1, 2, 4], [v = 1, u = 2^(1/2), x < -2, y =
0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576],
[-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[8, 12, 1, 2, 5], [v =
1, u = 2^(1/2), x < -2, y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [0, 0], [3, 3]]]], [[8, 13, 7, 7, 1
], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(0 < y,y < u
^2-x-2), z = z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152],
[497805/2097152, 497805/2097152], [248903/2097152, 248903/2097152], [0, 0]]]],
[[9, 2, 4, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, And(0 <
y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [1/2, 1/2], [-2, -2]
]]], [[9, 2, 4, 5, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, 
And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [1/2, 1/2],
[-1482911/2097152, -741455/1048576]]]], [[9, 2, 4, 5, 3], [And(1 < v,v < 2^(1/
2)), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [1/2, 1/2], [0, 0]]]], [[9, 2, 4, 5, 4],
[And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, And(0 < y,y < 1), z = (1-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536
]]]], [[9, 2, 4, 5, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, 
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3899297/2097152, -7798593/4194304], [-1, -1], [1/2, 1/2], [2, 2]]
]], [[9, 3, 9, 3, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-4149659/
2097152, -4149659/2097152], [-3, -3]]]], [[9, 3, 9, 3, 2], [And(1 < v,v < 2^(1
/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 
And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/
1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152], [-583671/
524288, -1167341/1048576]]]], [[9, 3, 9, 3, 3], [And(1 < v,v < 2^(1/2)), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-
x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [-4149659/2097152, -4149659/2097152], [0, 0]]
]], [[9, 3, 9, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-4149659/
2097152, -4149659/2097152], [1167341/1048576, 583671/524288]]]], [[9, 3, 9, 3,
5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u
^2-v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [-4149659/2097152, -\
4149659/2097152], [3, 3]]]], [[9, 13, 4, 9, 1], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), x = -1, 1 < y, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [2, 2
], [0, 0]]]], [[9, 14, 9, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1
< x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [-3, -3],
[-2, -2]]]], [[9, 14, 9, 3, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1
< x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [-3, -3],
[-1, -1]]]], [[9, 14, 9, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1
< x, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [2, 2], [-3, -3], [0, 0]]]], [[9, 14, 9, 3, 4], [And(1 < v,v < 2^(1/2
)), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [2, 2], [-3, -3], [1, 1]]]], [[9, 14, 9, 3, 5], [And(1 < v,v < 2^(1/2
)), u = (v^2+1)^(1/2), 1 < x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [2, 2], [-3, -3], [2, 2]]]], [[10, 1, 8, 3, 1], [v = 2^(1/2), u < -2,
x = 1, And(-u^2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [1, 1], [-5, -5], [-3, -3]]]], [[10, 1, 8,
3, 2], [v = 2^(1/2), u < -2, x = 1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-5, -5],
[-2, -2]]]], [[10, 1, 8, 3, 3], [v = 2^(1/2), u < -2, x = 1, And(-u^2 < y,y <
-1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[741455/524288
, 1482911/1048576], [-3, -3], [1, 1], [-5, -5], [0, 0]]]], [[10, 1, 8, 3, 4],
[v = 2^(1/2), u < -2, x = 1, And(-u^2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-5, -5],
[2, 2]]]], [[10, 1, 8, 3, 5], [v = 2^(1/2), u < -2, x = 1, And(-u^2 < y,y < -1
), (-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3,
-3], [1, 1], [-5, -5], [3, 3]]]], [[10, 3, 1, 8, 1], [v = 2^(1/2), And(-2 < u,
u < -3^(1/2)), x < -u^2+1, y = u^2-x-3, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [
4699771/1048576, 1174943/262144], [0, 0]]]], [[10, 9, 5, 1, 1], [v = 2^(1/2),
And(-1 < u,u < 0), And(-1 < x,x < 0), y < u^2-x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2],
[-4, -4], [-4, -4]]]], [[10, 9, 5, 1, 2], [v = 2^(1/2), And(-1 < u,u < 0), And
(-1 < x,x < 0), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-4, -4], [-1112183/
524288, -2224365/1048576]]]], [[10, 9, 5, 1, 3], [v = 2^(1/2), And(-1 < u,u <
0), And(-1 < x,x < 0), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2],
[-4, -4], [0, 0]]]], [[10, 9, 5, 1, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(-\
1 < x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-4, -4], [2224365/1048576, 
1112183/524288]]]], [[10, 9, 5, 1, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(-1
< x,x < 0), y < u^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[10, 10, 7
, 6, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y = 0, z = z], [regular_chain,
[[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [0, 0], [0, 0]]]], [[10
, 15, 3, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1),
y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [-31113/131072, -248903/1048576], [-3, -3]]]], [[10, 15, 3, 2, 2], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-31113/
131072, -248903/1048576], [-1273381/1048576, -318345/262144]]]], [[10, 15, 3,
2, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-
x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [-31113/131072, -248903/1048576], [0, 0]]]], [[10,
15, 3, 2, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y
= -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [-31113/131072, -248903/1048576], [318345/262144, 1273381/1048576]]]
], [[10, 15, 3, 2, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x
< -1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [-31113/131072, -248903/1048576], [3, 3]]]], [[10, 16, 7, 1,
1], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[10, 16, 7, 1, 2], [v = 2^(1/2),
u = 3^(1/2), And(0 < x,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1/2, 1/2]
, [-4, -4], [-7846825/4194304, -980853/524288]]]], [[10, 16, 7, 1, 3], [v = 2^
(1/2), u = 3^(1/2), And(0 < x,x < 1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288,
1816187/1048576], [1/2, 1/2], [-4, -4], [0, 0]]]], [[10, 16, 7, 1, 4], [v = 2^
(1/2), u = 3^(1/2), And(0 < x,x < 1), y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[10, 16,
7, 1, 5], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2)
< z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[10, 19, 7, 4, 1], [v = 2^
(1/2), 2 < u, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10,
19, 7, 4, 2], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-1/2, -\
1/2], [0, 0]]]], [[10, 19, 7, 4, 3], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y
= -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2,
1/2], [-1/2, -1/2], [1, 1]]]], [[11, 1, 9, 7, 1], [2^(1/2) < v, u < -(v^2+2)^(
1/2), And(1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[3, 3], [-5, -5], [8, 8], [7/2, 7/2], [0, 0]]]], [[11, 5, 10,
5, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,
y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851
/131072], [1, 1], [-5256689/4194304, -5256689/4194304], [-2, -2]]]], [[11, 5,
10, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2
< y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304], [-527729/1048576
, -1055457/2097152]]]], [[11, 5, 10, 5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) <
u,u < -v), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [-\
5256689/4194304, -5256689/4194304], [-1/4194304, -1/4194304]]]], [[11, 5, 10,
5, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, And(u^2-v^2-2 < y,
y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [1, 1], [-5256689/4194304, -5256689/4194304], [32983/65536, 527729/
1048576]]]], [[11, 5, 10, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v),
x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[3, 3],
[-403851/131072, -403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304]
, [2, 2]]]], [[11, 7, 7, 6, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [0, 0
], [-2, -2]]]], [[11, 7, 7, 6, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)
), And(-u^2+v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3]
, [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [0
, 0], [-16263/32768, -520415/1048576]]]], [[11, 7, 7, 6, 3], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [0, 0], [0, 0]]]], [[11, 7, 7, 6
, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0),
y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [0, 0], [520415/1048576, 16263/
32768]]]], [[11, 7, 7, 6, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [0, 0]
, [2, 2]]]], [[11, 13, 5, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-\
1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [1/4,
1/4], [-2, -2]]]], [[11, 13, 5, 5, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u <
(v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [1/4,
1/4], [-1/2, -1/2]]]], [[11, 13, 5, 5, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u
,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 13, 5, 5, 4], [2^(1/2) < v, And(
(v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-\
1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 13, 5, 5, 5], [2^(1/2) < v, And((
v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), (-x
-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1
/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 15, 1, 1, 1], [2^(1/2) < v, And((v^2-1
)^(1/2) < u,u < v), x < u^2-v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [6111549/2097152, 6111549/2097152], [-3, -3], [-1, -1], [-3, -3]]]],
[[11, 15, 1, 1, 2], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1,
y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3, -3], [-1, -1], [-2, -2]]]], [[11, 15, 1, 1, 3], [2^(1/2) < v, 
And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[3, 3], [6111549/2097152, 6111549/2097152], [
-3, -3], [-1, -1], [0, 0]]]], [[11, 15, 1, 1, 4], [2^(1/2) < v, And((v^2-1)^(1
/2) < u,u < v), x < u^2-v^2-1, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [6111549/2097152, 6111549/2097152], [-3, -3], [-1, -1], [2, 2]]]], [[11, 
15, 1, 1, 5], [2^(1/2) < v, And((v^2-1)^(1/2) < u,u < v), x < u^2-v^2-1, y < 0
, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [6111549/2097152, 6111549/
2097152], [-3, -3], [-1, -1], [3, 3]]]], [[11, 19, 5, 2, 1], [2^(1/2) < v, And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -u^2+v^2-x-1, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [-267636247/134217728, -133818123/67108864], [-3, -3]]
]], [[11, 19, 5, 2, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2))
, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain
, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-267636247/
134217728, -133818123/67108864], [-1655969/1048576, -3311937/2097152]]]], [[11
, 19, 5, 2, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1
< x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2)
)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2],
[-267636247/134217728, -133818123/67108864], [-1/4194304, -1/4194304]]]], [[11
, 19, 5, 2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1
< x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3],
[3396811/1048576, 3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -\
133818123/67108864], [51749/32768, 1655969/1048576]]]], [[11, 19, 5, 2, 5], [2
^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = -
u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576
, 3396811/1048576], [-1/2, -1/2], [-267636247/134217728, -133818123/67108864],
[3, 3]]]], [[11, 20, 7, 7, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), And(0 < x,x <
1), And(0 < y,y < 1-x), z = z], [regular_chain, [[3, 3], [3477733/1048576, 
1738867/524288], [1/2, 1/2], [1/4, 1/4], [0, 0]]]], [[1, 5, 4, 4, 1], [v < -2^
(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, z < -1], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [0, 0], [-2, -2]]]], [[
1, 5, 4, 4, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, z
= -1], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1],
[0, 0], [-1, -1]]]], [[1, 5, 4, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u
< v), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-1, -1], [0, 0], [0, 0]]]], [[1, 5, 4, 4, 4], [v < -
2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, z = 1], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [0, 0], [1, 1]]]], [[1,
5, 4, 4, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, y = 0, 1 <
z], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1], [0,
0], [2, 2]]]], [[1, 7, 1, 5, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)),
x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [2,
2], [-2, -2]]]], [[1, 7, 1, 5, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)
), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3], [2,
2], [-1, -1]]]], [[1, 7, 1, 5, 3], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)
), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [2, 2], [0, 0]]]], [[1, 7, 1, 5, 4], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [2, 2], [1, 1]]]], [[1, 7, 1, 5, 5], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/
2097152], [-3, -3], [2, 2], [2, 2]]]], [[1, 11, 2, 1, 1], [v < -2^(1/2), And(-
(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, z < -(-u^2+v^2-y+1
)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [-1, -1], [-5, -5]]]]
, [[1, 11, 2, 1, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)),
x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
0, 0], [-10, -10], [-1, -1], [-1738867/524288, -3477733/1048576]]]], [[1, 11,
2, 1, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^
2-1, y < 0, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [-1, -1], [0, 0]]]], [[1, 11, 2,
1, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1
, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -\
10], [-1, -1], [3477733/1048576, 1738867/524288]]]], [[1, 11, 2, 1, 5], [v < -
2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y < 0, (-u^
2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [-1, -1]
, [5, 5]]]], [[1, 12, 4, 6, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, y =
1, z < 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1],
[1, 1], [-1, -1]]]], [[1, 12, 4, 6, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), x =
-1, y = 1, z = 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [
-1, -1], [1, 1], [0, 0]]]], [[1, 12, 4, 6, 3], [v < -2^(1/2), u = (v^2-2)^(1/2
), x = -1, y = 1, 0 < z], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-1, -1], [1, 1], [1, 1]]]], [[1, 18, 7, 6, 1], [v < -2^(1/2), u = (v^2
+1)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-3, -3], [207243
/65536, 3315889/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 20, 1, 6, 1], [v
< -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = -x, z < 0], [regular_chain, [[-3, -\
3], [3477733/1048576, 1738867/524288], [-4, -4], [4, 4], [-1, -1]]]], [[1, 20,
1, 6, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = -x, z = 0], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [4, 4],
[0, 0]]]], [[1, 20, 1, 6, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, y = -x
, 0 < z], [regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -\
4], [4, 4], [1, 1]]]], [[2, 2, 9, 4, 1], [v = -2^(1/2), u = -2, 1 < x, y = -x,
z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2],
[-2, -2], [-1, -1]]]], [[2, 2, 9, 4, 2], [v = -2^(1/2), u = -2, 1 < x, y = -x,
z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2],
[-2, -2], [0, 0]]]], [[2, 2, 9, 4, 3], [v = -2^(1/2), u = -2, 1 < x, y = -x, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [
-2, -2], [1, 1]]]], [[2, 4, 3, 4, 1], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,
x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [0, 0], [-3, -3]]
]], [[2, 4, 3, 4, 2], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [0, 0], [-1284239/1048576, -\
642119/524288]]]], [[2, 4, 3, 4, 3], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[0, 0], [0, 0]]]], [[2, 4, 3, 4, 4], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x
< -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [0, 0], [642119/
524288, 1284239/1048576]]]], [[2, 4, 3, 4, 5], [v = -2^(1/2), u = -3^(1/2), 
And(-2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [0, 0],
[3, 3]]]], [[2, 7, 8, 3, 1], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(u^2-\
3 < y,y < -u^2+1), z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-2, -\
2]]]], [[2, 7, 8, 3, 2], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(u^2-3 <
y,y < -u^2+1), z = -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [-1, -1]]]],
[[2, 7, 8, 3, 3], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(u^2-3 < y,y < -
u^2+1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -\
1], [0, 0]]]], [[2, 7, 8, 3, 4], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(
u^2-3 < y,y < -u^2+1), z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [1, 1]
]]], [[2, 7, 8, 3, 5], [v = -2^(1/2), And(v < u,u < -1), x = 0, And(u^2-3 < y,
y < -u^2+1), (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-1, -1], [2, 2]]]], [[
2, 9, 3, 8, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = -
u^2-x+1, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [-15/8, -15/8], [21/8, 21/8], [0, 0]]]], [[2, 13, 4, 4, 1], [v = -2^(1/2
), And(1 < u,u < -v), x = -1, y = 0, z < -1], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0]
, [-2, -2]]]], [[2, 13, 4, 4, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y
= 0, z = -1], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1, -1], [0, 0], [-1, -1]]]], [[2, 13, 4, 4, 3], [
v = -2^(1/2), And(1 < u,u < -v), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1, -1], [0, 0], [0, 0]]]], [[2, 13, 4, 4, 4], [v = -2^(1/2), And(1
< u,u < -v), x = -1, y = 0, z = 1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [0, 0], [1, 1]]]
], [[2, 13, 4, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), x = -1, y = 0, 1 < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-1, -1], [0, 0], [2, 2]]]], [[2, 15, 1, 5, 1], [v = -2^(1/2), And(
-v < u,u < 3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z < -(-x-y)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-3, -3], [2, 2], [-2, -2]]]], [[2, 15, 1, 5, 2], [v = -2^(1
/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z = -
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3, -3], [2, 2], [-1, -1]]]], [[2, 15, 1, 5, 3], [
v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-\
3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [2, 2]
, [0, 0]]]], [[2, 15, 1, 5, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u
^2+1, And(-u^2-x+1 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3]
, [2, 2], [1, 1]]]], [[2, 15, 1, 5, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2))
, x < -u^2+1, And(-u^2-x+1 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain
, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3
, -3], [2, 2], [2, 2]]]], [[3, 1, 8, 4, 1], [And(-2^(1/2) < v,v < -1), u < -(v
^2+2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1, 1], [-1, -1], [-1, -1]]]], [[3, 1, 8, 4, 2], [
And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, y = -1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-1, -\
1], [0, 0]]]], [[3, 1, 8, 4, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2)
, x = 1, y = -1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-3, -3], [1, 1], [-1, -1], [1, 1]]]], [[3, 3, 1, 9, 1], [And(-2^(1/2) < v,v
< -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, u^2-v^2-x-1
< y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233
/8388608, -14373233/8388608], [-4, -4], [6, 6], [0, 0]]]], [[3, 7, 6, 1, 1], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2
*u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-3, -3], [-3, -3]]]], [[3, 7, 6, 1, 2], [And(-2^(1/2) < v,v <
-1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = -(u^2
-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-3, -3
], [-3883701/2097152, -7767401/4194304]]]], [[3, 7, 6, 1, 3], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And
(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
450371/1048576, -225185/524288], [-3, -3], [-1/8388608, -1/8388608]]]], [[3, 7
, 6, 1, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2
+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [-3, -3], [970925/524288, 1941851/1048576]]]], [[3,
7, 6, 1, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^
2+v^2-1, y < 2*u^2-2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [-3, -3], [3, 3]]]], [[3, 9, 1, 6, 1], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x,
z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4
], [4, 4], [-1, -1]]]], [[3, 9, 1, 6, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2
-1)^(1/2) < u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [4, 4]
, [0, 0]]]], [[3, 9, 1, 6, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) <
u,u < (v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, 0 < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [4, 4], [1, 1]]]], [[4,
1, 1, 1, 1], [v = -1, u < -3^(1/2), x < -u^2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [-1, -1], [-5, -5]]]], [[4, 1,
1, 1, 2], [v = -1, u < -3^(1/2), x < -u^2, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-3, -3], [-10, -10], [-1, -1], [-1738867/524288, -\
3477733/1048576]]]], [[4, 1, 1, 1, 3], [v = -1, u < -3^(1/2), x < -u^2, y < 0,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-3, -3],
[-10, -10], [-1, -1], [0, 0]]]], [[4, 1, 1, 1, 4], [v = -1, u < -3^(1/2), x <
-u^2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10, -10
], [-1, -1], [3477733/1048576, 1738867/524288]]]], [[4, 1, 1, 1, 5], [v = -1,
u < -3^(1/2), x < -u^2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
-3, -3], [-10, -10], [-1, -1], [5, 5]]]], [[4, 2, 3, 6, 1], [v = -1, u = -3^(1
/2), And(-3 < x,x < -1), y = -x, z < 0], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-2, -2], [2, 2], [-1, -1]]]], [[4, 2, 3, 6, 2], [
v = -1, u = -3^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1
, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [2, 2], [0, 0]]]], [[4,
2, 3, 6, 3], [v = -1, u = -3^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-2, -2], [2,
2], [1, 1]]]], [[4, 6, 5, 5, 1], [v = -1, u = -1, And(0 < x,x < 1), And(-x < y
,y < 0), z = z], [regular_chain, [[-1, -1], [-1, -1], [1/2, 1/2], [-1/4, -1/4]
, [0, 0]]]], [[4, 8, 1, 5, 1], [v = -1, u = 0, x < -2, And(-x-2 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [2, 2], [-2, -2
]]]], [[4, 8, 1, 5, 2], [v = -1, u = 0, x < -2, And(-x-2 < y,y < -x), z = -(-x
-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [2, 2], [-1, -1]]]],
[[4, 8, 1, 5, 3], [v = -1, u = 0, x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [2, 2
], [0, 0]]]], [[4, 8, 1, 5, 4], [v = -1, u = 0, x < -2, And(-x-2 < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [2, 2], [1, 1]
]]], [[4, 8, 1, 5, 5], [v = -1, u = 0, x < -2, And(-x-2 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [2, 2], [2, 2]]]], [[4,
14, 4, 7, 1], [v = -1, u = 3^(1/2), x = -1, And(1 < y,y < 2), z = z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [3/2, 3/
2], [0, 0]]]], [[4, 15, 9, 3, 1], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2),
And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[4, 4], [-17/2, -17/2], [-4, -4]]]], [[4, 15, 9, 3, 2], [v = -1, 3^(1/2) < u,
And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [4, 4], [-17/2, -17/2], [-1112183/524288, -\
2224365/1048576]]]], [[4, 15, 9, 3, 3], [v = -1, 3^(1/2) < u, And(1 < x,x < u^
2-2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [3, 3], [4, 4], [-17/2, -17/2], [0, 0]]]], [[4, 15,
9, 3, 4], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x),
z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [4, 4], [-17/2, -17/2],
[2224365/1048576, 1112183/524288]]]], [[4, 15, 9, 3, 5], [v = -1, 3^(1/2) < u,
And(1 < x,x < u^2-2), And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [4, 4], [-17/2, -17/2], [4, 4]]]], [[5, 4, 7
, 6, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = 0, z =
z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1/2, 1
/2], [0, 0], [0, 0]]]], [[5, 6, 1, 6, 1], [And(-1 < v,v < 0), u = v, x < -1, y
= -x, z < 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [
-1, -1]]]], [[5, 6, 1, 6, 2], [And(-1 < v,v < 0), u = v, x < -1, y = -x, z = 0
], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [0, 0]]]], [
[5, 6, 1, 6, 3], [And(-1 < v,v < 0), u = v, x < -1, y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [2, 2], [1, 1]]]], [[5,
9, 8, 5, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2
-v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [-2,
-2]]]], [[5, 9, 8, 5, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x
= 0, And(u^2-v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [0, 0], [-1248837/4194304, -1248837/
4194304], [-1144335/2097152, -572167/1048576]]]], [[5, 9, 8, 5, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304], [0, 0
]]]], [[5, 9, 8, 5, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x =
0, And(u^2-v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [-1248837/4194304, -1248837/4194304
], [572167/1048576, 71521/131072]]]], [[5, 9, 8, 5, 5], [And(-1 < v,v < 0), 
And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < 0), (-y)^(1/2) < z
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0],
[-1248837/4194304, -1248837/4194304], [2, 2]]]], [[5, 11, 4, 1, 1], [And(-1 <
v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z <
-(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[-1, -1], [-3, -3], [-3, -3]]]], [[5, 11, 4, 1, 2], [And(-1 < v,v < 0), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [-3, -\
3], [-2, -2]]]], [[5, 11, 4, 1, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [
-3, -3], [0, 0]]]], [[5, 11, 4, 1, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [-3, -3], [2, 2]]]],
[[5, 11, 4, 1, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1, -1], [-3, -3], [3, 3]]]], [[6, 1, 11, 8, 1
], [v = 0, u < -2^(1/2), u^2-1 < x, y = 0, z = z], [regular_chain, [[0, 0], [-\
3, -3], [9, 9], [0, 0], [0, 0]]]], [[6, 3, 5, 4, 1], [v = 0, And(-2^(1/2) < u,
u < -1), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[0, 0],
[-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[6,
3, 5, 4, 2], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y = 0, z = -
(-x)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-\
1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[6, 3, 5, 4, 3],
[v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) <
z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[6, 3, 5, 4, 4], [v = 0, And(-2^(1
/2) < u,u < -1), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[
0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [741455/
1048576, 46341/65536]]]], [[6, 3, 5, 4, 5], [v = 0, And(-2^(1/2) < u,u < -1),
And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/
1048576, -1265743/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[6, 9, 8, 6, 1],
[v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y = 0, z = z], [regular_chain, [[0,
0], [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [0, 0
], [0, 0]]]], [[6, 11, 2, 2, 1], [v = 0, 2^(1/2) < u, x = -u^2-1, y = 0, z < -
(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-10, -10], [0, 0], [-5, -5]]
]], [[6, 11, 2, 2, 2], [v = 0, 2^(1/2) < u, x = -u^2-1, y = 0, z = -(u^2+1)^(1
/2)], [regular_chain, [[0, 0], [3, 3], [-10, -10], [0, 0], [-3315889/1048576,
-207243/65536]]]], [[6, 11, 2, 2, 3], [v = 0, 2^(1/2) < u, x = -u^2-1, y = 0,
And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [3, 3], [
-10, -10], [0, 0], [0, 0]]]], [[6, 11, 2, 2, 4], [v = 0, 2^(1/2) < u, x = -u^2
-1, y = 0, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-10, -10], [0
, 0], [207243/65536, 3315889/1048576]]]], [[6, 11, 2, 2, 5], [v = 0, 2^(1/2) <
u, x = -u^2-1, y = 0, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-\
10, -10], [0, 0], [5, 5]]]], [[7, 3, 10, 2, 1], [And(0 < v,v < 1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-\
3631771/1048576, -1815885/524288], [-3, -3]]]], [[7, 3, 10, 2, 2], [And(0 < v,
v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z =
-(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [1, 1], [-3631771/1048576, -1815885/524288], [-3291611/2097152, -\
1645805/1048576]]]], [[7, 3, 10, 2, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [1, 1], [-3631771/1048576, -1815885/524288], [0, 0]]]], [[7, 3, 10, 2
, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y
= -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [1645805
/1048576, 822903/524288]]]], [[7, 3, 10, 2, 5], [And(0 < v,v < 1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-\
3631771/1048576, -1815885/524288], [3, 3]]]], [[7, 5, 5, 5, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u
^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/
1048576, 106039/1048576], [-2, -2]]]], [[7, 5, 5, 5, 2], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v
^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [106039/1048576, 
106039/1048576], [-3500723/4194304, -1750361/2097152]]]], [[7, 5, 5, 5, 3], [
And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), 
And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [-1/4194304, -1/
4194304]]]], [[7, 5, 5, 5, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1672995/
2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [218795/262144,
875181/1048576]]]], [[7, 5, 5, 5, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1672995/2097152, -1672995/2097152], [106039/1048576, 106039/1048576], [2, 2]]]
], [[8, 1, 6, 7, 1], [v = 1, u < -3^(1/2), x = 0, u^2-2 < y, z = z], [
regular_chain, [[1, 1], [-3, -3], [0, 0], [8, 8], [0, 0]]]], [[8, 2, 9, 1, 1],
[v = 1, u = -3^(1/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1
, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-6, -6], [-3, -3]]]], [[8
, 2, 9, 1, 2], [v = 1, u = -3^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-6, -6]
, [-2, -2]]]], [[8, 2, 9, 1, 3], [v = 1, u = -3^(1/2), 1 < x, y < -x-3, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576
, -3632373/2097152], [2, 2], [-6, -6], [0, 0]]]], [[8, 2, 9, 1, 4], [v = 1, u
= -3^(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [2, 2], [-6, -6], [2, 2]]]], [[8, 2, 9, 1,
5], [v = 1, u = -3^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [2, 2], [-6, -6], [3, 3]]]], [[
8, 7, 4, 6, 1], [v = 1, And(-1 < u,u < 0), x = -1, y = -u^2+1, z < u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/4, 3/4], [-2, -2]]]], [[8,
7, 4, 6, 2], [v = 1, And(-1 < u,u < 0), x = -1, y = -u^2+1, z = u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/4, 3/4], [-1/2, -1/2]]]], [
[8, 7, 4, 6, 3], [v = 1, And(-1 < u,u < 0), x = -1, y = -u^2+1, And(u < z,z <
-u)], [regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/4, 3/4], [0, 0]]]],
[[8, 7, 4, 6, 4], [v = 1, And(-1 < u,u < 0), x = -1, y = -u^2+1, z = -u], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/4, 3/4], [1/2, 1/2]]]], [[8
, 7, 4, 6, 5], [v = 1, And(-1 < u,u < 0), x = -1, y = -u^2+1, -u < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [3/4, 3/4], [2, 2]]]], [[8, 8,
8, 3, 1], [v = 1, u = 0, x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [1, 1], [-2, -2], [-2, -2]]]], [[8, 8, 8, 3, 2
], [v = 1, u = 0, x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [1, 1], [-2, -2], [-1, -1]]]], [[8, 8, 8, 3, 3
], [v = 1, u = 0, x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[1, 1], [0, 0], [1, 1], [-2, -2], [0, 0]]]], [[8, 8,
8, 3, 4], [v = 1, u = 0, x = 1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [1, 1], [-2, -2], [1, 1]]]], [[8, 8, 8, 3, 5],
[v = 1, u = 0, x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [
[1, 1], [0, 0], [1, 1], [-2, -2], [2, 2]]]], [[8, 15, 1, 6, 1], [v = 1, 3^(1/2
) < u, x < -u^2, y = -x, z < 0], [regular_chain, [[1, 1], [3, 3], [-10, -10],
[10, 10], [-1, -1]]]], [[8, 15, 1, 6, 2], [v = 1, 3^(1/2) < u, x < -u^2, y = -
x, z = 0], [regular_chain, [[1, 1], [3, 3], [-10, -10], [10, 10], [0, 0]]]], [
[8, 15, 1, 6, 3], [v = 1, 3^(1/2) < u, x < -u^2, y = -x, 0 < z], [
regular_chain, [[1, 1], [3, 3], [-10, -10], [10, 10], [1, 1]]]], [[9, 1, 3, 7,
1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), 
And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [8433585/
1048576, 8433585/1048576], [0, 0]]]], [[9, 5, 4, 7, 1], [And(1 < v,v < 2^(1/2)
), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(u^2-v^2 < y,y < 1), z < -(1-y)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304
, -5818805/4194304], [-1, -1], [1538813/2097152, 1538813/2097152], [-2, -2]]]]
, [[9, 5, 4, 7, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x
= -1, And(u^2-v^2 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [
1538813/2097152, 1538813/2097152], [-270523/524288, -1082091/2097152]]]], [[9,
5, 4, 7, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1,
And(u^2-v^2 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [
-1, -1], [1538813/2097152, 1538813/2097152], [-1/4194304, -1/4194304]]]], [[9,
5, 4, 7, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1,
And(u^2-v^2 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [1538813/
2097152, 1538813/2097152], [541045/1048576, 270523/524288]]]], [[9, 5, 4, 7, 5
], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x = -1, And(u^2-v^
2 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [1538813/2097152, 
1538813/2097152], [2, 2]]]], [[9, 7, 1, 4, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [749473/524288, 1498947/1048576], [-3, -3]]]], [[9
, 7, 1, 4, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^
2-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [
749473/524288, 1498947/1048576], [-1314069/1048576, -328517/262144]]]], [[9, 7
, 1, 4, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v
^2-1, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [749473/524288, 1498947/1048576], [0, 0]]]], [[9,
7, 1, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-
v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [
749473/524288, 1498947/1048576], [328517/262144, 1314069/1048576]]]], [[9, 7,
1, 4, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2
-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [
749473/524288, 1498947/1048576], [3, 3]]]], [[9, 10, 1, 6, 1], [And(1 < v,v <
2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = -x, z < 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [3, 3],
[-1, -1]]]], [[9, 10, 1, 6, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x
< -2, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [3, 3], [0, 0]]]], [[9, 10, 1, 6, 3]
, [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [3, 3], [1, 1]]]], [[9, 11, 7, 7, 1], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/
2097152, 225185/2097152], [-2, -2]]]], [[9, 11, 7, 7, 2], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/
2097152, 225185/2097152], [-171801/524288, -343601/1048576]]]], [[9, 11, 7, 7,
3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,
x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [225185/2097152, 225185/2097152]
, [0, 0]]]], [[9, 11, 7, 7, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u
,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [225185/2097152, 225185/2097152]
, [343601/1048576, 171801/524288]]]], [[9, 11, 7, 7, 5], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x)
, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [225185/
2097152, 225185/2097152], [2, 2]]]], [[9, 16, 1, 3, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [1/2, 1/2], [-3, -3]]]], [[9, 16, 1, 3, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), z = -(-x-y)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [1/2, 1/2], [-7846825/4194304, -980853/524288]]]], [[9, 16
, 1, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, And(0 < y,y <
-x-3), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1/2, 1/
2], [0, 0]]]], [[9, 16, 1, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
x < -3, And(0 < y,y < -x-3), z = (-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-4, -4], [1/2, 1/
2], [980853/524288, 1961707/1048576]]]], [[9, 16, 1, 3, 5], [And(1 < v,v < 2^(
1/2)), u = (v^2+2)^(1/2), x < -3, And(0 < y,y < -x-3), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [1/2, 1/2], [3, 3]]]], [[9, 17, 5, 4, 1], [And(1 < v,v < 2
^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[9, 17, 5, 4, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u
, And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -\
741455/1048576]]]], [[9, 17, 5, 4, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2)
< u, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [0,
0], [0, 0]]]], [[9, 17, 5, 4, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u,
And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [3, 3], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]
]], [[9, 17, 5, 4, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,
x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 6, 1, 7, 1], [v = 2^(
1/2), u = -v, x < -1, -x < y, z = z], [regular_chain, [[741455/524288, 1482911
/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [3, 3], [0, 0]]]], [[
10, 7, 9, 6, 1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = -x, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 7, 9, 6, 2], [v
= 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[10, 7, 9, 6, 3], [v = 2^(1/2)
, And(-v < u,u < -1), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1
/2], [-1/2, -1/2], [1, 1]]]], [[10, 11, 10, 6, 1], [v = 2^(1/2), And(0 < u,u <
1), x = 1, y = -u^2, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [1/2, 1/2], [1, 1], [-1/4, -1/4], [0, 0]]]], [[10, 13, 5, 5, 1], [v = 2^(1/2
), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), z < -(-x
-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/262144
, 35579/262144], [-2, -2]]]], [[10, 13, 5, 5, 2], [v = 2^(1/2), And(1 < u,u <
v), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [35579/262144, 35579/262144],
[-201839/262144, -3229423/4194304]]]], [[10, 13, 5, 5, 3], [v = 2^(1/2), And(1
< u,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
35579/262144, 35579/262144], [-3/8388608, -3/8388608]]]], [[10, 13, 5, 5, 4],
[v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1
), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
35579/262144, 35579/262144], [807355/1048576, 201839/262144]]]], [[10, 13, 5,
5, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), And(0 < y,y < -
u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
35579/262144, 35579/262144], [2, 2]]]], [[11, 3, 3, 6, 1], [2^(1/2) < v, And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z <
0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/
524288, -915943/524288], [915943/524288, 915943/524288], [-1, -1]]]], [[11, 3,
3, 6, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v
^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-915943/524288, -915943/524288], [915943/524288, 915943/
524288], [0, 0]]]], [[11, 3, 3, 6, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain,
[[3, 3], [-3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288
], [915943/524288, 915943/524288], [1, 1]]]], [[11, 4, 7, 1, 1], [2^(1/2) < v,
u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-4, -4
], [-3, -3]]]], [[11, 4, 7, 1, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x
,x < 1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[11, 4, 7, 1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x <
1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3
], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-4, -4], [0, 0]]]], [[11, 4
, 7, 1, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, z =
(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/
2, 1/2], [-4, -4], [980853/524288, 1961707/1048576]]]], [[11, 4, 7, 1, 5], [2^
(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y < -x-2, (-x-y)^(1/2) < z],
[regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2, 1/2], [-4, -\
4], [3, 3]]]], [[11, 9, 3, 5, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [1839381/2097152, 1839381/2097152], [-2, -2]]]], [
[11, 9, 3, 5, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), 
And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [1839381/2097152, 1839381/2097152], [-1964043/
2097152, -7856171/8388608]]]], [[11, 9, 3, 5, 3], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [1839381/
2097152, 1839381/2097152], [-3/16777216, -3/16777216]]]], [[11, 9, 3, 5, 4], [
2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x <
-1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-22960369
/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [1839381/
2097152, 1839381/2097152], [982021/1048576, 491011/524288]]]], [[11, 9, 3, 5,
5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 <
x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [
1839381/2097152, 1839381/2097152], [2, 2]]]], [[11, 10, 5, 4, 1], [2^(1/2) < v
, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [0
, 0], [-2, -2]]]], [[11, 10, 5, 4, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-\
1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[11, 10, 5, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,
x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 
10, 5, 4, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, z =
(-x)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-\
1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 10, 5, 4, 5], [2^(
1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [0
, 0], [2, 2]]]], [[11, 16, 4, 4, 1], [2^(1/2) < v, u = v, x = 0, y = 0, z < 0]
, [regular_chain, [[3, 3], [3, 3], [0, 0], [0, 0], [-1, -1]]]], [[11, 16, 4, 4
, 2], [2^(1/2) < v, u = v, x = 0, y = 0, z = 0], [regular_chain, [[3, 3], [3,
3], [0, 0], [0, 0], [0, 0]]]], [[11, 16, 4, 4, 3], [2^(1/2) < v, u = v, x = 0,
y = 0, 0 < z], [regular_chain, [[3, 3], [3, 3], [0, 0], [0, 0], [1, 1]]]], [[
11, 17, 11, 4, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-
v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [-2, -2]]]], [[
11, 17, 11, 4, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-
v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [-373161/524288,
-1492643/2097152]]]], [[11, 17, 11, 4, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)
^(1/2)), 1 < x, y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^
(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [-\
2628345/1048576, -5256689/2097152], [-1/4194304, -1/4194304]]]], [[11, 17, 11,
4, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072],
[2, 2], [-2628345/1048576, -5256689/2097152], [746321/1048576, 373161/524288]]
]], [[11, 17, 11, 4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, y
= u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [2, 2]]]
], [[1, 2, 4, 3, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 2, 4, 3, 2], [v < -2^(1/2), u
= -(v^2+2)^(1/2), x = -1, And(-2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain
, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [-1, -1], [-\
1482911/1048576, -741455/524288]]]], [[1, 2, 4, 3, 3], [v < -2^(1/2), u = -(v^
2+2)^(1/2), x = -1, And(-2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))],
[regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [-1,
-1], [0, 0]]]], [[1, 2, 4, 3, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, 
And(-2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/
524288, -3477733/1048576], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576
]]]], [[1, 2, 4, 3, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, And(-2 < y,
y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1, -1], [-1, -1], [3, 3]]]], [[1, 3, 9, 1, 1], [v < -2^(1/
2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5], [-4, -4]]]]
, [[1, 3, 9, 1, 2], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/2097152, 1566621/
2097152], [-5, -5], [-540613/262144, -2162451/1048576]]]], [[1, 3, 9, 1, 3], [
v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x
< 1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [1566621/
2097152, 1566621/2097152], [-5, -5], [0, 0]]]], [[1, 3, 9, 1, 4], [v < -2^(1/2
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -
u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576,
-3396811/1048576], [1566621/2097152, 1566621/2097152], [-5, -5], [2162451/
1048576, 540613/262144]]]], [[1, 3, 9, 1, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2
) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [
1566621/2097152, 1566621/2097152], [-5, -5], [4, 4]]]], [[1, 8, 2, 2, 1], [v <
-2^(1/2), u = -(v^2-1)^(1/2), x = -2, y = 0, z < -2^(1/2)], [regular_chain, [[
-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [0, 0], [-3, -3]]]],
[[1, 8, 2, 2, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y = 0, z = -2^(1/
2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2
], [0, 0], [-1482911/1048576, -741455/524288]]]], [[1, 8, 2, 2, 3], [v < -2^(1
/2), u = -(v^2-1)^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [0,
0], [0, 0]]]], [[1, 8, 2, 2, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y
= 0, z = 2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[1, 8, 2, 2,
5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, y = 0, 2^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [0,
0], [3, 3]]]], [[1, 9, 8, 5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x = -u^2+v^2-1, And(u^2-v^2+1 < y,y < 0), z = z], [regular_chain
, [[-3, -3], [-22960369/8388608, -22960369/8388608], [533035/1048576, 133259/
262144], [-1066071/4194304, -1066071/4194304], [0, 0]]]], [[1, 15, 6, 4, 1], [
v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152],
[-129143/262144, -516571/1048576], [0, 0], [-2, -2]]]], [[1, 15, 6, 4, 2], [v
< -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [-735979/1048576, -1471957/2097152]]]
], [[1, 15, 6, 4, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v
^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[1, 15, 6, 4, 4], [v <
-2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
129143/262144, -516571/1048576], [0, 0], [367989/524288, 735979/1048576]]]], [
[1, 15, 6, 4, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1
, y = 0, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-129143/262144, -516571/1048576], [0, 0], [2, 2]]]], [[1, 
17, 3, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x
,x < -1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152],
[1041671/1048576, 1041671/1048576], [-2, -2]]]], [[1, 17, 3, 7, 2], [v < -2^(1
/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072,
403851/131072], [-2614535/2097152, -2614535/2097152], [1041671/1048576, 
1041671/1048576], [-1055459/2097152, -527729/1048576]]]], [[1, 17, 3, 7, 3], [
v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u
^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [1041671/1048576, 1041671/1048576], [0, 0]]]], [[1, 17, 3, 7
, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [1041671/
1048576, 1041671/1048576], [527729/1048576, 263865/524288]]]], [[1, 17, 3, 7,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [1041671/
1048576, 1041671/1048576], [2, 2]]]], [[1, 21, 4, 3, 1], [v < -2^(1/2), (v^2+2
)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-1, -1], [-8, -8], [-4, -4]]]], [[1, 21, 4,
3, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z =
-(1-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [-8, -8], [-3, -3]
]]], [[1, 21, 4, 3, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2
< y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3],
[5, 5], [-1, -1], [-8, -8], [0, 0]]]], [[1, 21, 4, 3, 4], [v < -2^(1/2), (v^2+
2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-1, -1], [-8, -8], [3, 3]]]], [[1, 21, 4, 3
, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, And(-u^2+v^2 < y,y < 0), (1-y)
^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [-8, -8], [4, 4]]]],
[[2, 1, 6, 6, 1], [v = -2^(1/2), u < -2, x = 0, y = u^2-3, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [6, 6],
[0, 0]]]], [[2, 10, 6, 2, 1], [v = -2^(1/2), u = 0, x = 0, y = -3, z < -3^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-3,
-3], [-3, -3]]]], [[2, 10, 6, 2, 2], [v = -2^(1/2), u = 0, x = 0, y = -3, z =
-3^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0]
, [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[2, 10, 6, 2, 3], [v = -
2^(1/2), u = 0, x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain,
[[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-3, -3], [-1/4194304, -1
/4194304]]]], [[2, 10, 6, 2, 4], [v = -2^(1/2), u = 0, x = 0, y = -3, z = 3^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-3
, -3], [908093/524288, 1816187/1048576]]]], [[2, 10, 6, 2, 5], [v = -2^(1/2),
u = 0, x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [0, 0], [-3, -3], [3, 3]]]], [[2, 11, 10, 9, 1], [v =
-2^(1/2), And(0 < u,u < 1), x = 1, 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1/2, 1/2], [1, 1], [1, 1], [0, 0]]]], [[2, 16, 4, 7
, 1], [v = -2^(1/2), u = 3^(1/2), x = -1, 1 < y, z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1, -1],
[2, 2], [0, 0]]]], [[2, 17, 10, 6, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2),
x = 1, y = u^2-4, z = z], [regular_chain, [[-1482911/1048576, -741455/524288],
[3913339/2097152, 3913339/2097152], [1, 1], [-543109/1048576, -1086217/2097152
], [0, 0]]]], [[3, 4, 5, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [0, 0],
[-2, -2]]]], [[3, 4, 5, 4, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [0, 0],
[-1482911/2097152, -741455/1048576]]]], [[3, 4, 5, 4, 3], [And(-2^(1/2) < v,v
< -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (
-x)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [0, 0], [0, 0]]]], [[3, 4, 5, 4, 4],
[And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = (
-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]
]]], [[3, 4, 5, 4, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 <
x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [0, 0], [2, 2]]]]
, [[3, 5, 11, 1, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v),
1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5,
-5], [-3, -3]]]], [[3, 5, 11, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(
1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [
2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[3, 5, 11, 1, 3], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x
-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5,
-5], [-1/4194304, -1/4194304]]]], [[3, 5, 11, 1, 4], [And(-2^(1/2) < v,v < -1)
, And(-(v^2+1)^(1/2) < u,u < v), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[3,
5, 11, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 1 < x,
y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-5818805/4194304, -5818805/4194304], [2, 2], [-5, -5], [3,
3]]]], [[3, 10, 5, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1
< x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [-3, -3], [-\
3, -3]]]], [[3, 10, 5, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [-3
, -3], [-7846825/4194304, -980853/524288]]]], [[3, 10, 5, 1, 3], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[354469/524288, 708939/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[3, 10, 5
, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y <
-x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [354469/524288, 708939/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 
1961707/1048576]]]], [[3, 10, 5, 1, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)
^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1
/2], [-3, -3], [3, 3]]]], [[3, 11, 10, 7, 1], [And(-2^(1/2) < v,v < -1), And((
v^2-1)^(1/2) < u,u < -v), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [1, 1],
[-1/2, -1/2], [0, 0]]]], [[3, 15, 4, 9, 1], [And(-2^(1/2) < v,v < -1), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, u^2-v^2 < y, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1,
-1], [3, 3], [0, 0]]]], [[3, 16, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2
], [-1/4, -1/4], [0, 0]]]], [[4, 3, 6, 3, 1], [v = -1, And(-3^(1/2) < u,u < -2
^(1/2)), x = 0, And(-u^2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1, -\
1], [-6598195/4194304, -6598195/4194304], [0, 0], [-1297479/1048576, -1297479/
1048576], [-3, -3]]]], [[4, 3, 6, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), x = 0, And(-u^2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-1, -1], [
-6598195/4194304, -6598195/4194304], [0, 0], [-1297479/1048576, -1297479/
1048576], [-145801/131072, -1166407/1048576]]]], [[4, 3, 6, 3, 3], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(-u^2 < y,y < 0), And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [0, 0], [-1297479/1048576, -1297479/1048576], [0, 0]]]], [[4, 3, 6,
3, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0, And(-u^2 < y,y < 0), z
= (-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304]
, [0, 0], [-1297479/1048576, -1297479/1048576], [1166407/1048576, 145801/
131072]]]], [[4, 3, 6, 3, 5], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = 0,
And(-u^2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [0, 0], [-1297479/1048576, -1297479/1048576], [3,
3]]]], [[4, 5, 1, 8, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, y = -x,
z < 0], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3,
-3], [3, 3], [-1, -1]]]], [[4, 5, 1, 8, 2], [v = -1, And(-2^(1/2) < u,u < -1),
x < -u^2, y = -x, z = 0], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-3, -3], [3, 3], [0, 0]]]], [[4, 5, 1, 8, 3], [v = -1, And(
-2^(1/2) < u,u < -1), x < -u^2, y = -x, 0 < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [3, 3], [1, 1]]]], [[4, 11, 6, 6
, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = -u^2+2, z < 0], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/1048576, 284633/524288], [-1, -1]]]], [[4,
11, 6, 6, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = -u^2+2, z = 0],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/1048576, 284633/524288], [0, 0]]]], [[4, 11
, 6, 6, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = -u^2+2, 0 < z], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/1048576, 284633/524288], [1, 1]]]], [[4, 13
, 2, 2, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = 0, z < -u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1297479/524288
, -2594957/1048576], [0, 0], [-3, -3]]]], [[4, 13, 2, 2, 2], [v = -1, And(2^(1
/2) < u,u < 3^(1/2)), x = -u^2, y = 0, z = -u], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [0, 0]
, [-3299097/2097152, -3299097/2097152]]]], [[4, 13, 2, 2, 3], [v = -1, And(2^(
1/2) < u,u < 3^(1/2)), x = -u^2, y = 0, And(-u < z,z < u)], [regular_chain, [[
-1, -1], [3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/
1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[4, 13, 2, 2, 4], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x = -u^2, y = 0, z = u], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [0, 0
], [412387/262144, 1649549/1048576]]]], [[4, 13, 2, 2, 5], [v = -1, And(2^(1/2
) < u,u < 3^(1/2)), x = -u^2, y = 0, u < z], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [0, 0]
, [3, 3]]]], [[5, 1, 9, 9, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [-3,
-3], [35/8, 35/8], [5, 5], [0, 0]]]], [[5, 3, 3, 7, 1], [And(-1 < v,v < 0), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-x
< y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144,
-343151/262144], [-1815885/1048576, -1815885/1048576], [1029453/524288, 
1029453/524288], [0, 0]]]], [[5, 12, 6, 4, 1], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0
], [0, 0], [-1, -1]]]], [[5, 12, 6, 4, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/
2), x = 0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [
0, 0], [0, 0]]]], [[5, 12, 6, 4, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x
= 0, y = 0, 0 < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [0, 0],
[1, 1]]]], [[5, 13, 11, 2, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-\
1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2
], [3, 3], [9, 9], [-75/4, -75/4], [-5, -5]]]], [[5, 13, 11, 2, 2], [And(-1 <
v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)
^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-75/4, -75/4], [-\
1637089/524288, -3274177/1048576]]]], [[5, 13, 11, 2, 3], [And(-1 < v,v < 0),
(v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z
,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-75/
4, -75/4], [0, 0]]]], [[5, 13, 11, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) <
u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
-1/2, -1/2], [3, 3], [9, 9], [-75/4, -75/4], [3274177/1048576, 1637089/524288]
]]], [[5, 13, 11, 2, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x,
y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3
], [9, 9], [-75/4, -75/4], [5, 5]]]], [[6, 4, 9, 7, 1], [v = 0, u = -1, 1 < x,
0 < y, z = z], [regular_chain, [[0, 0], [-1, -1], [2, 2], [1, 1], [0, 0]]]], [
[6, 6, 4, 2, 1], [v = 0, u = 0, x = 0, y = -1, z < -1], [regular_chain, [[0, 0
], [0, 0], [0, 0], [-1, -1], [-2, -2]]]], [[6, 6, 4, 2, 2], [v = 0, u = 0, x =
0, y = -1, z = -1], [regular_chain, [[0, 0], [0, 0], [0, 0], [-1, -1], [-1, -1
]]]], [[6, 6, 4, 2, 3], [v = 0, u = 0, x = 0, y = -1, And(-1 < z,z < 1)], [
regular_chain, [[0, 0], [0, 0], [0, 0], [-1, -1], [0, 0]]]], [[6, 6, 4, 2, 4],
[v = 0, u = 0, x = 0, y = -1, z = 1], [regular_chain, [[0, 0], [0, 0], [0, 0],
[-1, -1], [1, 1]]]], [[6, 6, 4, 2, 5], [v = 0, u = 0, x = 0, y = -1, 1 < z], [
regular_chain, [[0, 0], [0, 0], [0, 0], [-1, -1], [2, 2]]]], [[7, 1, 4, 7, 1],
[And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, And(1 < y,y < u^2-v^2), z = z],
[regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [39/8, 39/8], [0, 0]]]], [[7,
2, 7, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1
/2, 1/2], [-2, -2], [-3, -3]]]], [[7, 2, 7, 3, 2], [And(0 < v,v < 1), u = -(v^
2+2)^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-2, -2], [-1284239/
1048576, -642119/524288]]]], [[7, 2, 7, 3, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), And(0 < x,x < 1), And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-2, -2], [
0, 0]]]], [[7, 2, 7, 3, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x
< 1), And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
3/2, -3/2], [1/2, 1/2], [-2, -2], [642119/524288, 1284239/1048576]]]], [[7, 2,
7, 3, 5], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1), And(-x-3 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2,
1/2], [-2, -2], [3, 3]]]], [[7, 7, 2, 6, 1], [And(0 < v,v < 1), And(-v < u,u <
v), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[1/2, 1/2], [0, 0]
, [-5/4, -5/4], [5/4, 5/4], [-1, -1]]]], [[7, 7, 2, 6, 2], [And(0 < v,v < 1),
And(-v < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[1/
2, 1/2], [0, 0], [-5/4, -5/4], [5/4, 5/4], [0, 0]]]], [[7, 7, 2, 6, 3], [And(0
< v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [5/4, 5/4], [1, 1]]]], [[7,
8, 6, 5, 1], [And(0 < v,v < 1), u = v, x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-1/2, -1/2], [0, 0]]]], [[7,
11, 10, 8, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, y = 0, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144
], [1, 1], [0, 0], [0, 0]]]], [[7, 13, 3, 9, 1], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(-u^2+v^2-1 < x,x < -1), u^2-v^2-x-1 < y, z = z], [regular_chain,
[[1/2, 1/2], [3, 3], [-43/8, -43/8], [15, 15], [0, 0]]]], [[8, 3, 11, 9, 1], [
v = 1, And(-3^(1/2) < u,u < -2^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [
[1, 1], [-6598195/4194304, -6598195/4194304], [2, 2], [1, 1], [0, 0]]]], [[8,
5, 7, 1, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y < -u^2-
x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [-3, -3], [-3, -3]]]], [[8, 5, 7
, 1, 2], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y < -u^2-x, z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576
], [-569265/2097152, -569265/2097152], [-3, -3], [-7586297/4194304, -948287/
524288]]]], [[8, 5, 7, 1, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,
x < 0), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/
2097152], [-3, -3], [0, 0]]]], [[8, 5, 7, 1, 4], [v = 1, And(-2^(1/2) < u,u <
-1), And(u^2-2 < x,x < 0), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1,
1], [-1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152],
[-3, -3], [948287/524288, 1896575/1048576]]]], [[8, 5, 7, 1, 5], [v = 1, And(-
2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/2097152
, -569265/2097152], [-3, -3], [3, 3]]]], [[8, 12, 1, 5, 1], [v = 1, u = 2^(1/2
), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[741455/524288, 1482911/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[8, 12, 1, 5
, 2], [v = 1, u = 2^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [2, 2], [-\
1, -1]]]], [[8, 12, 1, 5, 3], [v = 1, u = 2^(1/2), x < -2, And(-x-2 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-3, -3], [2, 2], [0, 0]]]], [[8, 12, 1, 5, 4], [v =
1, u = 2^(1/2), x < -2, And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [2, 2], [1
, 1]]]], [[8, 12, 1, 5, 5], [v = 1, u = 2^(1/2), x < -2, And(-x-2 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576],
[-3, -3], [2, 2], [2, 2]]]], [[8, 13, 7, 6, 1], [v = 1, And(2^(1/2) < u,u < 3^
(1/2)), And(0 < x,x < u^2-2), y = 0, z = z], [regular_chain, [[1, 1], [3299097
/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [0, 0], [0, 0]]]
], [[9, 2, 4, 6, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y =
1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1, -1], [1, 1], [-1, -1]]]], [[9, 2, 4, 6, 2], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y = 1, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1, -1], [1, 1], [0, 0]]]], [[9, 2, 4, 6, 3], [And(1 < v,v
< 2^(1/2)), u = -(v^2+2)^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [1, 1], [1, 1]]]], [[9, 3, 8, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 0 < y, z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
501965/1048576, 250983/524288], [1, 1], [0, 0]]]], [[9, 13, 5, 3, 1], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-
u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-1470707/4194304, -1470707/4194304], [-3, -3]]]], [[9, 13,
5, 3, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x
< u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [-1470707/4194304, -1470707/4194304], [-\
1108163/1048576, -554081/524288]]]], [[9, 13, 5, 3, 3], [And(1 < v,v < 2^(1/2)
), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 <
y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-1470707/4194304, -1470707/4194304], [0, 0]]]], [
[9, 13, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-\
1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-3213833/4194304, -3213833/4194304], [-1470707/4194304, -1470707/
4194304], [554081/524288, 1108163/1048576]]]], [[9, 13, 5, 3, 5], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), And(-u^2+
v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-1470707/4194304, -1470707/4194304], [3, 3]]]], [[9, 14, 9,
2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z < -2^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-4, -4], [-3, -3]]]], [[9, 14, 9, 2, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2],
[-4, -4], [-1482911/1048576, -741455/524288]]]], [[9, 14, 9, 2, 3], [And(1 < v
,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2
))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [2, 2], [-4, -4], [0, 0]]]], [[9, 14, 9, 2, 4], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2], [
-4, -4], [741455/524288, 1482911/1048576]]]], [[9, 14, 9, 2, 5], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2],
[-4, -4], [3, 3]]]], [[10, 1, 8, 4, 1], [v = 2^(1/2), u < -2, x = 1, y = -1, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-1
, -1], [-1, -1]]]], [[10, 1, 8, 4, 2], [v = 2^(1/2), u < -2, x = 1, y = -1, z
= 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-1
, -1], [0, 0]]]], [[10, 1, 8, 4, 3], [v = 2^(1/2), u < -2, x = 1, y = -1, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-1,
-1], [1, 1]]]], [[10, 3, 1, 5, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x <
-u^2+1, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [
5785989/2097152, 5785989/2097152], [-3, -3]]]], [[10, 3, 1, 5, 2], [v = 2^(1/2
), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < -x), z = -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [-4563/4096,
-1168127/1048576]]]], [[10, 3, 1, 5, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)
), x < -u^2+1, And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [0, 0]]]], [[
10, 3, 1, 5, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-u^2-
x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [5785989/2097152, 
5785989/2097152], [1168127/1048576, 4563/4096]]]], [[10, 3, 1, 5, 5], [v = 2^(
1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(
1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [3,
3]]]], [[10, 9, 5, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0),
y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1/2, -1/2], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[10, 9, 5, 4, 2], [v = 2^(1/2)
, And(-1 < u,u < 0), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2],
[0, 0], [-1482911/2097152, -741455/1048576]]]], [[10, 9, 5, 4, 3], [v = 2^(1/2
), And(-1 < u,u < 0), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2
, -1/2], [0, 0], [0, 0]]]], [[10, 9, 5, 4, 4], [v = 2^(1/2), And(-1 < u,u < 0)
, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/
65536]]]], [[10, 9, 5, 4, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x <
0), y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [-1/2, -1/2], [0, 0], [2, 2]]]], [[10, 10, 7, 5, 1], [v = 2^(1/2
), u = 0, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]],
[[10, 15, 3, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -\
1), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [-248903/2097152, -248903/2097152], [-3, -3]]]], [
[10, 15, 3, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1
), And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [-248903/2097152, -248903/2097152], [-610533/
524288, -1221065/1048576]]]], [[10, 15, 3, 3, 3], [v = 2^(1/2), And(v < u,u <
3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-\
248903/2097152, -248903/2097152], [0, 0]]]], [[10, 15, 3, 3, 4], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x+1 < y,y < 0), z = (
-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-248903/
2097152, -248903/2097152], [1221065/1048576, 610533/524288]]]], [[10, 15, 3, 3
, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(-u^2-x
+1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [-248903/2097152, -248903/2097152], [3, 3]]]], [[10, 16, 6, 3, 1], [
v = 2^(1/2), u = 3^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [-1, -1], [-2, -2]]]], [[10, 16, 6, 3, 2], [v = 2^(1/2), u =
3^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [0, 0], [-1, -1],
[-1, -1]]]], [[10, 16, 6, 3, 3], [v = 2^(1/2), u = 3^(1/2), x = 0, And(-2 < y,
y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[741455/524288,
1482911/1048576], [908093/524288, 1816187/1048576], [0, 0], [-1, -1], [0, 0]]]
], [[10, 16, 6, 3, 4], [v = 2^(1/2), u = 3^(1/2), x = 0, And(-2 < y,y < 0), z
= (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [0, 0], [-1, -1], [1, 1]]]], [[10, 16, 6, 3, 5], [v
= 2^(1/2), u = 3^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[10, 19, 7, 5, 1], [v = 2^(1/2), 2 < u
, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[741455/524288
, 1482911/1048576], [3, 3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[11, 1, 9, 4
, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x, z <
0], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-8, -8], [-1, -1]]]], [[11, 1,
9, 4, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -x,
z = 0], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-8, -8], [0, 0]]]], [[11,
1, 9, 4, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -
x, 0 < z], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-8, -8], [1, 1]]]], [[
11, 5, 10, 8, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), x = 1, y = 0,
z = z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [1, 1], [0,
0], [0, 0]]]], [[11, 7, 7, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2))
, And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/
2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [-2, -2]]]], [[
11, 7, 7, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/
2097152], [-129143/1048576, -129143/1048576], [-1274753/2097152, -9959/16384]]
]], [[11, 7, 7, 5, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+
v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-\
516571/2097152, -516571/2097152], [-129143/1048576, -129143/1048576], [0, 0]]]
], [[11, 7, 7, 5, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v
^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-129143/1048576, -129143/1048576], [9959/16384, 637377/
1048576]]]], [[11, 7, 7, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [-516571/2097152
, -516571/2097152], [-129143/1048576, -129143/1048576], [2, 2]]]], [[11, 13, 5
, 6, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x
< 0), y = -x, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[11, 13, 5, 6, 2], [2^(1/2) < v, 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = -x, z = 0], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [1/2,
1/2], [0, 0]]]], [[11, 13, 5, 6, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (
v^2-1)^(1/2)), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[11, 14
, 9, 5, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(-x < y,y < 0), z = z],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [-1, -1], [
0, 0]]]], [[11, 19, 5, 5, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1/4
, 1/4], [-2, -2]]]], [[11, 19, 5, 5, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1/2], [1/4
, 1/4], [-1/2, -1/2]]]], [[11, 19, 5, 5, 3], [2^(1/2) < v, And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11, 19, 5, 5, 4], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,y <
-x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 19, 5, 5, 5], [2^(1/2
) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), And(0 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[11, 20, 7, 6, 1], [2^(1/2) <
v, u = (v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [1/2, 1/2], [0, 0], [0, 0]]]], [[1, 5, 4,
3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,
y < 0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851
/131072], [-1, -1], [-517383/2097152, -517383/2097152], [-3, -3]]]], [[1, 5, 4
, 3, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 <
y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [-1170799/
1048576, -585399/524288]]]], [[1, 5, 4, 3, 3], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)
^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1
], [-517383/2097152, -517383/2097152], [0, 0]]]], [[1, 5, 4, 3, 4], [v < -2^(1
/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)
^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-1, -1]
, [-517383/2097152, -517383/2097152], [585399/524288, 1170799/1048576]]]], [[1
, 5, 4, 3, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x = -1, And(-u^2+
v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-1, -1], [-517383/2097152, -517383/2097152], [3, 3]]]], [[1,
7, 1, 4, 1], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y =
u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-6111549/
2097152, -6111549/2097152], [-3, -3], [1565147/1048576, 391287/262144], [-3, -\
3]]]], [[1, 7, 1, 4, 2], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2
-v^2-1, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[-6111549/2097152, -6111549/2097152], [-3, -3], [1565147/1048576, 391287/
262144], [-1287385/1048576, -160923/131072]]]], [[1, 7, 1, 4, 3], [v < -2^(1/2
), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, And(-(-u^2+v
^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-6111549
/2097152, -6111549/2097152], [-3, -3], [1565147/1048576, 391287/262144], [0, 0
]]]], [[1, 7, 1, 4, 4], [v < -2^(1/2), And(v < u,u < -(v^2-1)^(1/2)), x < u^2-
v^2-1, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-\
6111549/2097152, -6111549/2097152], [-3, -3], [1565147/1048576, 391287/262144]
, [160923/131072, 1287385/1048576]]]], [[1, 7, 1, 4, 5], [v < -2^(1/2), And(v
< u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) <
z], [regular_chain, [[-3, -3], [-6111549/2097152, -6111549/2097152], [-3, -3],
[1565147/1048576, 391287/262144], [3, 3]]]], [[1, 11, 2, 2, 1], [v < -2^(1/2),
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-u^2+v^
2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [0, 0], [-5, -5]]]
], [[1, 11, 2, 2, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2))
, x = u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
0, 0], [-10, -10], [0, 0], [-3315889/1048576, -207243/65536]]]], [[1, 11, 2, 2
, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1,
y = 0, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[-3, -3], [0, 0], [-10, -10], [0, 0], [0, 0]]]], [[1, 11, 2, 2, 4], [v < -2^(1
/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^
2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [0, 0], [
207243/65536, 3315889/1048576]]]], [[1, 11, 2, 2, 5], [v < -2^(1/2), And(-(v^2
-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z
], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [0, 0], [5, 5]]]], [[1, 12,
4, 7, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, And(1 < y,y < 2), z = z],
[regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [3/2, 3/2]
, [0, 0]]]], [[1, 18, 7, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), And(0 < x,x
< 1), And(-x < y,y < 0), z = z], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[1, 20, 1, 5, 1], [v <
-2^(1/2), u = (v^2+2)^(1/2), x < -3, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [5/2,
5/2], [-3, -3]]]], [[1, 20, 1, 5, 2], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3
, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
3477733/1048576, 1738867/524288], [-4, -4], [5/2, 5/2], [-1284239/1048576, -\
642119/524288]]]], [[1, 20, 1, 5, 3], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3
, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [3477733/1048576, 1738867/524288], [-4, -4], [5/2, 5
/2], [0, 0]]]], [[1, 20, 1, 5, 4], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, 
And(-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-4, -4], [5/2, 5/2], [642119/524288, 1284239/
1048576]]]], [[1, 20, 1, 5, 5], [v < -2^(1/2), u = (v^2+2)^(1/2), x < -3, And(
-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3477733/
1048576, 1738867/524288], [-4, -4], [5/2, 5/2], [3, 3]]]], [[2, 2, 9, 5, 1], [
v = -2^(1/2), u = -2, 1 < x, And(-x < y,y < 1-x), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-3/2, -3/2], [0, 0]]]], [
[2, 4, 3, 5, 1], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]],
[[2, 4, 3, 5, 2], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3/4, 3/4], [-1816187/
2097152, -3632373/4194304]]]], [[2, 4, 3, 5, 3], [v = -2^(1/2), u = -3^(1/2),
And(-2 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-3/2, -3/2], [3/4, 3/4], [-1/8388608, -1/8388608]]]], [[2,
4, 3, 5, 4], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3/4, 3/4], [908093/1048576,
454047/524288]]]], [[2, 4, 3, 5, 5], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x
< -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[3/4, 3/4], [2, 2]]]], [[2, 7, 8, 2, 1], [v = -2^(1/2), And(v < u,u < -1), x =
0, y = u^2-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-3235683/
2097152, -1617841/1048576], [-3, -3]]]], [[2, 7, 8, 2, 2], [v = -2^(1/2), And(
v < u,u < -1), x = 0, y = u^2-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0]
, [-3235683/2097152, -1617841/1048576], [-1302471/1048576, -651235/524288]]]],
[[2, 7, 8, 2, 3], [v = -2^(1/2), And(v < u,u < -1), x = 0, y = u^2-3, And(-(-u
^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-3235683/
2097152, -1617841/1048576], [0, 0]]]], [[2, 7, 8, 2, 4], [v = -2^(1/2), And(v
< u,u < -1), x = 0, y = u^2-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
3235683/2097152, -1617841/1048576], [651235/524288, 1302471/1048576]]]], [[2,
7, 8, 2, 5], [v = -2^(1/2), And(v < u,u < -1), x = 0, y = u^2-3, (-u^2+3)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576
, -1265743/1048576], [0, 0], [-3235683/2097152, -1617841/1048576], [3, 3]]]],
[[2, 9, 3, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And
(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-15/8, -15/8], [9/4, 9/4], [0, 0]]]], [[2, 13, 4, 5, 1
], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(0 < y,y < -u^2+2), z < -(1-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [-2, -2]]]], [
[2, 13, 4, 5, 2], [v = -2^(1/2), And(1 < u,u < -v), x = -1, And(0 < y,y < -u^2
+2), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152],
[-3580063/4194304, -1790031/2097152]]]], [[2, 13, 4, 5, 3], [v = -2^(1/2), And
(1 < u,u < -v), x = -1, And(0 < y,y < -u^2+2), And(-(1-y)^(1/2) < z,z < (1-y)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [-1, -1], [569265/2097152, 569265/2097152], [-1/4194304, -\
1/4194304]]]], [[2, 13, 4, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -1, 
And(0 < y,y < -u^2+2), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1, -1], [569265/2097152,
569265/2097152], [895015/1048576, 111877/131072]]]], [[2, 13, 4, 5, 5], [v = -
2^(1/2), And(1 < u,u < -v), x = -1, And(0 < y,y < -u^2+2), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1, -1], [569265/2097152, 569265/2097152], [2, 2]]]], [[2, 15, 1, 6
, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = u^2-x-3, z < -(-
u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-3, -3], [2594957/1048576, 1297479/524288], [-2, -\
2]]]], [[2, 15, 1, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1,
y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3299097/2097152, 3299097/2097152], [-3, -3], [2594957/1048576, 
1297479/524288], [-1519901/2097152, -379975/524288]]]], [[2, 15, 1, 6, 3], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = u^2-x-3, And(-(-u^2+3)^(1
/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-3, -3], [2594957/1048576, 
1297479/524288], [0, 0]]]], [[2, 15, 1, 6, 4], [v = -2^(1/2), And(-v < u,u < 3
^(1/2)), x < -u^2+1, y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-3, -3]
, [2594957/1048576, 1297479/524288], [379975/524288, 759951/1048576]]]], [[2,
15, 1, 6, 5], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x < -u^2+1, y = u^2-x-3,
(-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-3, -3], [2594957/1048576, 1297479/524288]
, [2, 2]]]], [[3, 1, 8, 3, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-11055025/2097152, -\
11055025/2097152], [-4, -4]]]], [[3, 1, 8, 3, 2], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-\
11055025/2097152, -11055025/2097152], [-2167143/1048576, -1083571/524288]]]],
[[3, 1, 8, 3, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, And(-u
^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-11055025/2097152,
-11055025/2097152], [0, 0]]]], [[3, 1, 8, 3, 4], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), x = 1, And(-u^2+v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-\
11055025/2097152, -11055025/2097152], [1083571/524288, 2167143/1048576]]]], [[
3, 1, 8, 3, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, And(-u^2
+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3, -3], [1, 1], [-11055025/2097152, -11055025/2097152], [4
, 4]]]], [[3, 3, 1, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [
-4, -4], [4696269/1048576, 2348135/524288], [0, 0]]]], [[3, 7, 6, 2, 1], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2
-2*v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/
524288], [-1196411/1048576, -598205/524288], [-3, -3]]]], [[3, 7, 6, 2, 2], [
And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2
*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/1048576, -\
225185/524288], [-1196411/1048576, -598205/524288], [-1314069/1048576, -328517
/262144]]]], [[3, 7, 6, 2, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-\
1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-
u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-\
1196411/1048576, -598205/524288], [0, 0]]]], [[3, 7, 6, 2, 4], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z =
(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-450371/1048576, -225185/524288], [-\
1196411/1048576, -598205/524288], [328517/262144, 1314069/1048576]]]], [[3, 7,
6, 2, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), x = -u^2+v
^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-450371/
1048576, -225185/524288], [-1196411/1048576, -598205/524288], [3, 3]]]], [[3,
9, 1, 7, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x < u^2-v^2-1, And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [4433959/1048576, 
4433959/1048576], [0, 0]]]], [[4, 1, 1, 2, 1], [v = -1, u < -3^(1/2), x < -u^2
, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [0
, 0], [-5, -5]]]], [[4, 1, 1, 2, 2], [v = -1, u < -3^(1/2), x < -u^2, y = 0, z
= -(-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [-10, -10], [0, 0], [-\
3315889/1048576, -207243/65536]]]], [[4, 1, 1, 2, 3], [v = -1, u < -3^(1/2), x
< -u^2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1]
, [-3, -3], [-10, -10], [0, 0], [0, 0]]]], [[4, 1, 1, 2, 4], [v = -1, u < -3^(
1/2), x < -u^2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-3, -3], [
-10, -10], [0, 0], [207243/65536, 3315889/1048576]]]], [[4, 1, 1, 2, 5], [v =
-1, u < -3^(1/2), x < -u^2, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1],
[-3, -3], [-10, -10], [0, 0], [5, 5]]]], [[4, 2, 3, 7, 1], [v = -1, u = -3^(1/
2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-2, -2], [5/2, 5/2], [0, 0]]]], [[4,
6, 5, 4, 1], [v = -1, u = -1, And(0 < x,x < 1), y = -x, z < 0], [regular_chain
, [[-1, -1], [-1, -1], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[4, 6, 5, 4, 2]
, [v = -1, u = -1, And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1, -1]
, [-1, -1], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[4, 6, 5, 4, 3], [v = -1, u
= -1, And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1, -1], [-1, -1], [
1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[4, 8, 1, 4, 1], [v = -1, u = 0, x < -2,
y = -x-2, z < -2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1],
[-3, -3]]]], [[4, 8, 1, 4, 2], [v = -1, u = 0, x < -2, y = -x-2, z = -2^(1/2)]
, [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1], [-1482911/1048576, -\
741455/524288]]]], [[4, 8, 1, 4, 3], [v = -1, u = 0, x < -2, y = -x-2, And(-2^
(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1],
[0, 0]]]], [[4, 8, 1, 4, 4], [v = -1, u = 0, x < -2, y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1], [741455/524288, 1482911/
1048576]]]], [[4, 8, 1, 4, 5], [v = -1, u = 0, x < -2, y = -x-2, 2^(1/2) < z],
[regular_chain, [[-1, -1], [0, 0], [-3, -3], [1, 1], [3, 3]]]], [[4, 14, 4, 8,
1], [v = -1, u = 3^(1/2), x = -1, y = 2, z = z], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-1, -1], [2, 2], [0, 0]]]], [[4, 15, 9, 4, 1
], [v = -1, 3^(1/2) < u, And(1 < x,x < u^2-2), y = -x, z < 0], [regular_chain,
[[-1, -1], [3, 3], [4, 4], [-4, -4], [-1, -1]]]], [[4, 15, 9, 4, 2], [v = -1,
3^(1/2) < u, And(1 < x,x < u^2-2), y = -x, z = 0], [regular_chain, [[-1, -1],
[3, 3], [4, 4], [-4, -4], [0, 0]]]], [[4, 15, 9, 4, 3], [v = -1, 3^(1/2) < u,
And(1 < x,x < u^2-2), y = -x, 0 < z], [regular_chain, [[-1, -1], [3, 3], [4, 4
], [-4, -4], [1, 1]]]], [[5, 4, 7, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/
2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2]
, [-146543/131072, -1172343/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[5
, 6, 1, 5, 1], [And(-1 < v,v < 0), u = v, x < -1, And(-1-x < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [3/2, 3/2
], [-2, -2]]]], [[5, 6, 1, 5, 2], [And(-1 < v,v < 0), u = v, x < -1, And(-1-x
< y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[-2, -2], [3/2, 3/2], [-1482911/2097152, -741455/1048576]]]], [[5, 6, 1, 5, 3]
, [And(-1 < v,v < 0), u = v, x < -1, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [
3/2, 3/2], [0, 0]]]], [[5, 6, 1, 5, 4], [And(-1 < v,v < 0), u = v, x < -1, And
(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1
/2], [-2, -2], [3/2, 3/2], [741455/1048576, 46341/65536]]]], [[5, 6, 1, 5, 5],
[And(-1 < v,v < 0), u = v, x < -1, And(-1-x < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [3/2, 3/2], [2, 2]]]], [
[5, 9, 8, 6, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y =
0, z < 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[0, 0], [0, 0], [-1, -1]]]], [[5, 9, 8, 6, 2], [And(-1 < v,v < 0), And(-v < u,
u < (v^2+1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [0, 0], [0, 0]]]], [[5, 9, 8, 6, 3]
, [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0], [0,
0], [1, 1]]]], [[5, 11, 4, 2, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [-\
1534619/1048576, -767309/524288], [-3, -3]]]], [[5, 11, 4, 2, 2], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1, -1], [-1534619/1048576, -767309/524288], [-3291611/2097152, -\
1645805/1048576]]]], [[5, 11, 4, 2, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (
u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1, -1], [-1534619/1048576, -767309/524288], [0, 0]]]], [[5, 11, 4,
2, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y
= -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1, -1], [-1534619/1048576, -767309/524288], [1645805
/1048576, 822903/524288]]]], [[5, 11, 4, 2, 5], [And(-1 < v,v < 0), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1, -1], [-\
1534619/1048576, -767309/524288], [3, 3]]]], [[6, 1, 11, 7, 1], [v = 0, u < -2
^(1/2), u^2-1 < x, And(u^2-x-1 < y,y < 0), z = z], [regular_chain, [[0, 0], [-\
3, -3], [9, 9], [-1/2, -1/2], [0, 0]]]], [[6, 3, 5, 3, 1], [v = 0, And(-2^(1/2
) < u,u < -1), And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [
-32834795/33554432, -32834795/33554432], [-3, -3]]]], [[6, 3, 5, 3, 2], [v = 0
, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), z = -(
-x-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [
-1/2, -1/2], [-32834795/33554432, -32834795/33554432], [-1275025/1048576, -\
79689/65536]]]], [[6, 3, 5, 3, 3], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 <
x,x < 0), And(-u^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-\
32834795/33554432, -32834795/33554432], [0, 0]]]], [[6, 3, 5, 3, 4], [v = 0, 
And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), And(-u^2-x-1 < y,y < 0), z = (-x-
y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/
2, -1/2], [-32834795/33554432, -32834795/33554432], [79689/65536, 1275025/
1048576]]]], [[6, 3, 5, 3, 5], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x
< 0), And(-u^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [-1/2, -1/2], [-32834795/33554432, -\
32834795/33554432], [3, 3]]]], [[6, 9, 8, 7, 1], [v = 0, And(1 < u,u < 2^(1/2)
), x = u^2-1, 0 < y, z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [239655/524288, 479311/1048576], [1, 1], [0, 0]]]], [[6, 11,
2, 3, 1], [v = 0, 2^(1/2) < u, x = -u^2-1, And(0 < y,y < u^2+1), z < -(u^2-y+1
)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-10, -10], [5, 5], [-4, -4]]]], [[
6, 11, 2, 3, 2], [v = 0, 2^(1/2) < u, x = -u^2-1, And(0 < y,y < u^2+1), z = -(
u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-10, -10], [5, 5], [-146543
/65536, -2344687/1048576]]]], [[6, 11, 2, 3, 3], [v = 0, 2^(1/2) < u, x = -u^2
-1, And(0 < y,y < u^2+1), And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [-10, -10], [5, 5], [0, 0]]]], [[6, 11, 2, 3,
4], [v = 0, 2^(1/2) < u, x = -u^2-1, And(0 < y,y < u^2+1), z = (u^2-y+1)^(1/2)
], [regular_chain, [[0, 0], [3, 3], [-10, -10], [5, 5], [2344687/1048576, 
146543/65536]]]], [[6, 11, 2, 3, 5], [v = 0, 2^(1/2) < u, x = -u^2-1, And(0 <
y,y < u^2+1), (u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-10, -10
], [5, 5], [4, 4]]]], [[7, 3, 10, 1, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-5, -5]
, [-3, -3]]]], [[7, 3, 10, 1, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-5, -5], [-2, -2]]]],
[[7, 3, 10, 1, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-5, -5]
, [0, 0]]]], [[7, 3, 10, 1, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[1
/2, 1/2], [-343151/262144, -343151/262144], [1, 1], [-5, -5], [2, 2]]]], [[7,
3, 10, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [1, 1], [-5, -5], [3, 3]]]], [[7, 5, 5, 4, 1], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0,
z < -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [-2, -2]]]], [[7, 5, 5
, 4, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2
-v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [-\
7492423/8388608, -3746211/4194304]]]], [[7, 5, 5, 4, 3], [And(0 < v,v < 1), 
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [-3/8388608, -\
3/8388608]]]], [[7, 5, 5, 4, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u <
-v), And(-1 < x,x < u^2-v^2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2,
1/2], [-1696631/2097152, -1696631/2097152], [-1672995/2097152, -1672995/
2097152], [0, 0], [117069/131072, 936553/1048576]]]], [[7, 5, 5, 4, 5], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0,
(-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-1672995/2097152, -1672995/2097152], [0, 0], [2, 2]]]], [[8, 1, 6,
6, 1], [v = 1, u < -3^(1/2), x = 0, y = u^2-2, z = z], [regular_chain, [[1, 1]
, [-3, -3], [0, 0], [7, 7], [0, 0]]]], [[8, 2, 8, 7, 1], [v = 1, u = -3^(1/2),
x = 1, 0 < y, z = z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [1, 1], [1, 1], [0, 0]]]], [[8, 7, 4, 7, 1], [v = 1, And(-1 < u,u <
0), x = -1, And(-u^2+1 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[1, 1],
[-1/2, -1/2], [-1, -1], [7/8, 7/8], [-2, -2]]]], [[8, 7, 4, 7, 2], [v = 1, And
(-1 < u,u < 0), x = -1, And(-u^2+1 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [7/8, 7/8], [-46341/131072, -\
370727/1048576]]]], [[8, 7, 4, 7, 3], [v = 1, And(-1 < u,u < 0), x = -1, And(-
u^2+1 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[1,
1], [-1/2, -1/2], [-1, -1], [7/8, 7/8], [0, 0]]]], [[8, 7, 4, 7, 4], [v = 1, 
And(-1 < u,u < 0), x = -1, And(-u^2+1 < y,y < 1), z = (1-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [7/8, 7/8], [370727/1048576, 
46341/131072]]]], [[8, 7, 4, 7, 5], [v = 1, And(-1 < u,u < 0), x = -1, And(-u^
2+1 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-1,
-1], [7/8, 7/8], [2, 2]]]], [[8, 8, 8, 4, 1], [v = 1, u = 0, x = 1, y = -1, z
< 0], [regular_chain, [[1, 1], [0, 0], [1, 1], [-1, -1], [-1, -1]]]], [[8, 8,
8, 4, 2], [v = 1, u = 0, x = 1, y = -1, z = 0], [regular_chain, [[1, 1], [0, 0
], [1, 1], [-1, -1], [0, 0]]]], [[8, 8, 8, 4, 3], [v = 1, u = 0, x = 1, y = -1
, 0 < z], [regular_chain, [[1, 1], [0, 0], [1, 1], [-1, -1], [1, 1]]]], [[8, 
15, 1, 5, 1], [v = 1, 3^(1/2) < u, x < -u^2, And(-u^2-x < y,y < -x), z < -(-x-
y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [11/2, 11/2], [-4, -4]
]]], [[8, 15, 1, 5, 2], [v = 1, 3^(1/2) < u, x < -u^2, And(-u^2-x < y,y < -x),
z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [11/2, 11/2],
[-1112183/524288, -2224365/1048576]]]], [[8, 15, 1, 5, 3], [v = 1, 3^(1/2) < u
, x < -u^2, And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[1, 1], [3, 3], [-10, -10], [11/2, 11/2], [0, 0]]]], [[8, 15,
1, 5, 4], [v = 1, 3^(1/2) < u, x < -u^2, And(-u^2-x < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[1, 1], [3, 3], [-10, -10], [11/2, 11/2], [2224365/
1048576, 1112183/524288]]]], [[8, 15, 1, 5, 5], [v = 1, 3^(1/2) < u, x < -u^2,
And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3, 3], [-\
10, -10], [11/2, 11/2], [4, 4]]]], [[9, 1, 3, 6, 1], [And(1 < v,v < 2^(1/2)),
u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449
/2097152], [625403/131072, 5003225/1048576], [-1, -1]]]], [[9, 1, 3, 6, 2], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -x
, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-\
10006449/2097152, -10006449/2097152], [625403/131072, 5003225/1048576], [0, 0]
]]], [[9, 1, 3, 6, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v
^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [625403/131072, 
5003225/1048576], [1, 1]]]], [[9, 5, 4, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), x = -1, y = 1, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [1,
1], [-1, -1]]]], [[9, 5, 4, 8, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2)
< u,u < -v), x = -1, y = 1, z = 0], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-1, -1], [1, 1], [0, 0]]]],
[[9, 5, 4, 8, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), x =
-1, y = 1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-1, -1], [1, 1], [1, 1]]]], [[9, 7, 1, 5,
1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, 
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [2, 2], [-2, -2]]]], [[9, 7, 1, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v <
u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z
= -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3, -3], [2, 2], [-1, -1]]]], [[9, 7, 1,
5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1,
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [2, 2], [0, 0]]]], [[9, 7, 1, 5, 4], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y
,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3, -3], [2, 2], [1,
1]]]], [[9, 7, 1, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2
)), x < u^2-v^2-1, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [2, 2], [2, 2]]]], [[9, 10, 1, 5, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939
/1048576], [-3, -3], [2, 2], [-2, -2]]]], [[9, 10, 1, 5, 2], [And(1 < v,v < 2^
(1/2)), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [2, 2], [-1, -1]]]], [[9, 10, 1, 5, 3], [And(1 < v,v < 2^(
1/2)), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
354469/524288, 708939/1048576], [-3, -3], [2, 2], [0, 0]]]], [[9, 10, 1, 5, 4]
, [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3, -3], [2, 2], [1, 1]]]], [[9, 10, 1, 5, 5], [And(
1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, And(-x-2 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288,
708939/1048576], [-3, -3], [2, 2], [2, 2]]]], [[9, 11, 7, 6, 1], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [0, 0], [-2, -2]
]]], [[9, 11, 7, 6, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v),
And(-u^2+v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152,
-450371/2097152], [0, 0], [-485927/1048576, -242963/524288]]]], [[9, 11, 7, 6,
3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,
x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [0, 0], [0, 0]]]], [[9, 11, 7, 6, 4], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = 0, z = (-x)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576,
987341/1048576], [-450371/2097152, -450371/2097152], [0, 0], [242963/524288, 
485927/1048576]]]], [[9, 11, 7, 6, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [0, 0], [2, 2]]]], [[9, 16, 1, 4
, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = -x-3, z < -3^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 
1949649/1048576], [-4, -4], [1, 1], [-3, -3]]]], [[9, 16, 1, 4, 2], [And(1 < v
,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = -x-3, z = -3^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-4, -4], [1, 1], [-1816187/1048576, -3632373/2097152]]]], [[9, 16,
1, 4, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = -x-3, And(-3
^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[121853/65536, 1949649/1048576], [-4, -4], [1, 1], [-1/4194304, -1/4194304]]]]
, [[9, 16, 1, 4, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, y = -
x-3, z = 3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-4, -4], [1, 1], [908093/524288, 1816187/
1048576]]]], [[9, 16, 1, 4, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x
< -3, y = -x-3, 3^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-4, -4], [1, 1], [3, 3]]]], [[9, 
17, 5, 5, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), 
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 17, 5, 5
, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y
,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 17, 5, 5, 3]
, [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[9, 
17, 5, 5, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), 
And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 17, 5,
5, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[10, 6, 1, 6, 1], [v =
2^(1/2), u = -v, x < -1, y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [-1, -\
1]]]], [[10, 6, 1, 6, 2], [v = 2^(1/2), u = -v, x < -1, y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [2, 2], [0, 0]]]], [[10, 6, 1, 6, 3], [v = 2^(1/2), u = -v,
x < -1, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-2, -2], [2, 2], [1, 1]]]], [[10, 7, 9, 5,
1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(-u^2-x+1 < y,y < -
x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187
/33554432], [-2, -2]]]], [[10, 7, 9, 5, 2], [v = 2^(1/2), And(-v < u,u < -1),
And(0 < x,x < 1), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/
2, 1/2], [-24446187/33554432, -24446187/33554432], [-31331/65536, -501295/
1048576]]]], [[10, 7, 9, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x
< 1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-24446187/33554432, -24446187/33554432], [0, 0]]]], [[
10, 7, 9, 5, 4], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(-u^2-
x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-24446187/
33554432, -24446187/33554432], [501295/1048576, 31331/65536]]]], [[10, 7, 9, 5
, 5], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(-u^2-x+1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-24446187/33554432, -24446187
/33554432], [2, 2]]]], [[10, 11, 10, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), x
= 1, And(-u^2 < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [1/2, 1/2], [1, 1], [-1/8, -1/8], [0, 0]]]], [[10, 13, 5, 6, 1], [v
= 2^(1/2), And(1 < u,u < v), And(-1 < x,x < -u^2+1), y = -u^2-x+1, z < -(u^2-1
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/
1048576], [-2, -2]]]], [[10, 13, 5, 6, 2], [v = 2^(1/2), And(1 < u,u < v), And
(-1 < x,x < -u^2+1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887
/2097152, -1527887/2097152], [35579/131072, 284633/1048576], [-1417877/2097152
, -354469/524288]]]], [[10, 13, 5, 6, 3], [v = 2^(1/2), And(1 < u,u < v), And(
-1 < x,x < -u^2+1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/1048576]
, [0, 0]]]], [[10, 13, 5, 6, 4], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [35579/131072, 284633/1048576], [354469/524288, 708939/
1048576]]]], [[10, 13, 5, 6, 5], [v = 2^(1/2), And(1 < u,u < v), And(-1 < x,x
< -u^2+1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [35579/131072, 284633/1048576], [2, 2]]]], [[11, 3, 3, 7, 1]
, [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x
,x < -1), And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-915943/524288, -915943/524288], [522727/
262144, 522727/262144], [0, 0]]]], [[11, 4, 7, 2, 1], [2^(1/2) < v, u = -(v^2+
1)^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[11
, 4, 7, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, z
= -2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1/2,
1/2], [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[11, 4, 7, 2, 3],
[2^(1/2) < v, u = -(v^2+1)^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z
,z < 2^(1/2))], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [1
/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[11, 4, 7, 2, 4], [2^(1/2) < v, u = -(v^2+
1)^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [regular_chain, [[3, 3], [
-3315889/1048576, -207243/65536], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 
1482911/1048576]]]], [[11, 4, 7, 2, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(
0 < x,x < 1), y = -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[11, 9, 3, 4, 1
], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x
,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [0, 0], [-3, -3]]]
], [[11, 9, 3, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2))
, And(u^2-v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3],
[-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304],
[0, 0], [-347197/262144, -1388787/1048576]]]], [[11, 9, 3, 4, 3], [2^(1/2) < v
, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0
, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [0, 0], [0,
0]]]], [[11, 9, 3, 4, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1
/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[3,
3], [-22960369/8388608, -22960369/8388608], [-7357527/4194304, -7357527/
4194304], [0, 0], [1388787/1048576, 347197/262144]]]], [[11, 9, 3, 4, 5], [2^(
1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1
), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-7357527/4194304, -7357527/4194304], [0, 0], [3, 3]]]], [[
11, 10, 5, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-\
3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152,
-2774271/1048576], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[11, 10, 5, 3, 2]
, [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z
= -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576
], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[11, 10, 5
, 3, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y <
0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[
11, 10, 5, 3, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-\
3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/8192]]]]
, [[11, 10, 5, 3, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And
(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[11, 16, 4
, 5, 1], [2^(1/2) < v, u = v, x = 0, 0 < y, z = z], [regular_chain, [[3, 3], [
3, 3], [0, 0], [1, 1], [0, 0]]]], [[11, 17, 11, 5, 1], [2^(1/2) < v, And(v < u
,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [-9450993/
4194304, -9450993/4194304], [-2, -2]]]], [[11, 17, 11, 5, 2], [2^(1/2) < v, 
And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [-\
9450993/4194304, -9450993/4194304], [-527729/1048576, -1055457/2097152]]]], [[
11, 17, 11, 5, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-
v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[3, 3], [403851/131072, 403851/131072], [2, 2], [-9450993/4194304, -9450993/
4194304], [-1/4194304, -1/4194304]]]], [[11, 17, 11, 5, 4], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)
], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [2, 2], [-9450993/
4194304, -9450993/4194304], [32983/65536, 527729/1048576]]]], [[11, 17, 11, 5,
5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072
], [2, 2], [-9450993/4194304, -9450993/4194304], [2, 2]]]], [[1, 2, 4, 2, 1],
[v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = -2, z < -3^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [-2,
-2], [-3, -3]]]], [[1, 2, 4, 2, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1,
y = -2, z = -3^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[1, 2,
4, 2, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1, y = -2, And(-3^(1/2) < z,
z < 3^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576],
[-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 2, 4, 2, 4], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[-3, -3
], [-1738867/524288, -3477733/1048576], [-1, -1], [-2, -2], [908093/524288, 
1816187/1048576]]]], [[1, 2, 4, 2, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), x =
-1, y = -2, 3^(1/2) < z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1, -1], [-2, -2], [3, 3]]]], [[1, 3, 8, 7, 1], [v < -2^(1/
2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, 0 < y, z = z],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/
262144, 518045/1048576], [1, 1], [0, 0]]]], [[1, 8, 2, 3, 1], [v < -2^(1/2), u
= -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [regular_chain,
[[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [1, 1], [-2, -2]]]
], [[1, 8, 2, 3, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -2, And(0 < y,y <
2), z = -(2-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [-2, -2], [1, 1], [-1, -1]]]], [[1, 8, 2, 3, 3], [v < -2^(1/2), u =
-(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1/2)
)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2]
, [1, 1], [0, 0]]]], [[1, 8, 2, 3, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x =
-2, And(0 < y,y < 2), z = (2-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-2, -2], [1, 1], [1, 1]]]], [[1, 8, 2, 3, 5], [v
< -2^(1/2), u = -(v^2-1)^(1/2), x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-2, -2], [1,
1], [2, 2]]]], [[1, 9, 8, 6, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x = -u^2+v^2-1, y = 0, z = z], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [533035/1048576, 133259/262144], [0, 0],
[0, 0]]]], [[1, 15, 6, 3, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x
= -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-133001/262144, -133001/262144], [-2, -2]]]], [[1, 15, 6, 3
, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-\
2*v^2 < y,y < 0), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-133001
/262144, -133001/262144], [-8796092106889/8796093022208, -1099511513361/
1099511627776]]]], [[1, 15, 6, 3, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u <
-v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), And(-(u^2-v^2-y+1)^(1/2) < z,
z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [-133001/262144, -133001/
262144], [-934161/2199023255552, -934161/2199023255552]]]], [[1, 15, 6, 3, 4],
[v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2
< y,y < 0), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-133001/262144,
-133001/262144], [1048575/1048576, 1]]]], [[1, 15, 6, 3, 5], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < 0), (u^
2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [-133001/262144, -133001/262144],
[2, 2]]]], [[1, 17, 3, 6, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [388037/524288, 776075/1048576], [-2, -2]]]], [[1, 17, 3, 6,
2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [388037/524288,
776075/1048576], [-373161/524288, -1492643/2097152]]]], [[1, 17, 3, 6, 3], [v
< -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2
-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain
, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -2614535/
2097152], [388037/524288, 776075/1048576], [-1/4194304, -1/4194304]]]], [[1, 
17, 3, 6, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x
,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [388037/
524288, 776075/1048576], [746321/1048576, 373161/524288]]]], [[1, 17, 3, 6, 5]
, [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
= u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [388037/524288,
776075/1048576], [2, 2]]]], [[1, 21, 4, 4, 1], [v < -2^(1/2), (v^2+2)^(1/2) <
u, x = -1, y = 0, z < -1], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [0, 0]
, [-2, -2]]]], [[1, 21, 4, 4, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y
= 0, z = -1], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [0, 0], [-1, -1]]]]
, [[1, 21, 4, 4, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = 0, And(-1 <
z,z < 1)], [regular_chain, [[-3, -3], [5, 5], [-1, -1], [0, 0], [0, 0]]]], [[1
, 21, 4, 4, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = 0, z = 1], [
regular_chain, [[-3, -3], [5, 5], [-1, -1], [0, 0], [1, 1]]]], [[1, 21, 4, 4,
5], [v < -2^(1/2), (v^2+2)^(1/2) < u, x = -1, y = 0, 1 < z], [regular_chain, [
[-3, -3], [5, 5], [-1, -1], [0, 0], [2, 2]]]], [[2, 1, 6, 7, 1], [v = -2^(1/2)
, u < -2, x = 0, u^2-3 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3, -3], [0, 0], [7, 7], [0, 0]]]], [[2, 10, 6, 1, 1], [v = -
2^(1/2), u = 0, x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [0, 0], [-4, -4], [-3, -3]]]], [[2, 10, 6, 1
, 2], [v = -2^(1/2), u = 0, x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [0, 0], [0, 0], [-4, -4], [-2, -2]]]], [[2
, 10, 6, 1, 3], [v = -2^(1/2), u = 0, x = 0, y < -3, And(-(-y)^(1/2) < z,z < (
-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [0,
0], [-4, -4], [0, 0]]]], [[2, 10, 6, 1, 4], [v = -2^(1/2), u = 0, x = 0, y < -\
3, z = (-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0
], [0, 0], [-4, -4], [2, 2]]]], [[2, 10, 6, 1, 5], [v = -2^(1/2), u = 0, x = 0
, y < -3, (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [0, 0], [0, 0], [-4, -4], [3, 3]]]], [[2, 11, 10, 8, 1], [v = -2^(1/2), And(
0 < u,u < 1), x = 1, y = 0, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[2, 16, 5, 1, 1], [v =
-2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[2, 16, 5, 1, 2], [v = -2^(1/2
), u = 3^(1/2), And(-1 < x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[2,
16, 5, 1, 3], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y < -x-2, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455
/524288], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3, -3], [0, 0]]]],
[[2, 16, 5, 1, 4], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y < -x-2, z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [-1/2, -1/2], [-3, -3], [980853/524288, 1961707/
1048576]]]], [[2, 16, 5, 1, 5], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0),
y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1/2, -1/2], [-3, -3], [3, 3]]]],
[[2, 17, 10, 7, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, And(u^2-4 <
y,y < 0), z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [1, 1], [-1086217/4194304, -1086217/4194304
], [0, 0]]]], [[3, 4, 5, 3, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1/2
, -1/2], [-3/4, -3/4], [-3, -3]]]], [[3, 4, 5, 3, 2], [And(-2^(1/2) < v,v < -1
), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z = -(-x-y)^(1/
2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343/
1048576]]]], [[3, 4, 5, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2),
And(-1 < x,x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1/2, -1/2], [-3/4, -3/4], [0, 0]]]], [[3, 4, 5, 3, 4], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,
y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-1/2, -1/2], [-3/4, -3/4], [
1172343/1048576, 146543/131072]]]], [[3, 4, 5, 3, 5], [And(-2^(1/2) < v,v < -1
), u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1/2, -1/2], [-3/4, -3/4], [3, 3]]]], [[3, 5, 10, 9, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, 0 < y, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [1, 1], [0, 0]]]], [[3, 10, 5, 2, 1], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [-3/2, -3/2], [-3, -3]]]], [[3, 10, 5, 2, 2], [And(-2^
(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = -2^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -741455/524288
]]]], [[3, 10, 5, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1
< x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1
/2], [-3/2, -3/2], [0, 0]]]], [[3, 10, 5, 2, 4], [And(-2^(1/2) < v,v < -1), u
= (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, z = 2^(1/2)], [regular_chain, [[
-1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -\
1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[3, 10, 5, 2, 5], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [-1/2, -1/2], [-3/2, -3/2], [3, 3]]]], [[3, 11, 10, 8
, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, y = 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576
, 987341/1048576], [1, 1], [0, 0], [0, 0]]]], [[3, 15, 5, 1, 1], [And(-2^(1/2)
< v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y <
-u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-3, -3], [-3, -3]]]]
, [[3, 15, 5, 1, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/524288]]]], [[3, 
15, 5, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[3, 15, 5, 1, 4], [And(-2^
(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0)
, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1/2, -1/2], [-3, -3], [
980853/524288, 1961707/1048576]]]], [[3, 15, 5, 1, 5], [And(-2^(1/2) < v,v < -\
1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-
x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [-1/2, -1/2], [-3, -3], [3, 3]]]], [[3, 16, 7,
6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[4, 3, 6, 2, 1], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), x = 0, y = -u^2, z < u], [regular_chain, [[-1,
-1], [-6598195/4194304, -6598195/4194304], [0, 0], [-2594959/1048576, -1297479
/524288], [-3, -3]]]], [[4, 3, 6, 2, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2
)), x = 0, y = -u^2, z = u], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [0, 0], [-2594959/1048576, -1297479/524288], [-1649549/
1048576, -3299097/2097152]]]], [[4, 3, 6, 2, 3], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x = 0, y = -u^2, And(u < z,z < -u)], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-2594959/1048576, -1297479/524288
], [-1/4194304, -1/4194304]]]], [[4, 3, 6, 2, 4], [v = -1, And(-3^(1/2) < u,u
< -2^(1/2)), x = 0, y = -u^2, z = -u], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [0, 0], [-2594959/1048576, -1297479/524288], [
412387/262144, 1649549/1048576]]]], [[4, 3, 6, 2, 5], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), x = 0, y = -u^2, -u < z], [regular_chain, [[-1, -1], [-\
6598195/4194304, -6598195/4194304], [0, 0], [-2594959/1048576, -1297479/524288
], [3, 3]]]], [[4, 5, 1, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, 
And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [5722191/2097152, 5722191/
2097152], [-2, -2]]]], [[4, 5, 1, 7, 2], [v = -1, And(-2^(1/2) < u,u < -1), x
< -u^2, And(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [-1265743/1048576, -1265743/1048576], [-3, -3], [5722191/2097152, 5722191/
2097152], [-273157/524288, -1092627/2097152]]]], [[4, 5, 1, 7, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), x < -u^2, And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743
/1048576], [-3, -3], [5722191/2097152, 5722191/2097152], [-1/4194304, -1/
4194304]]]], [[4, 5, 1, 7, 4], [v = -1, And(-2^(1/2) < u,u < -1), x < -u^2, 
And(u^2-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-3, -3], [5722191/2097152, 5722191/
2097152], [546313/1048576, 273157/524288]]]], [[4, 5, 1, 7, 5], [v = -1, And(-
2^(1/2) < u,u < -1), x < -u^2, And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-3, -3], [
5722191/2097152, 5722191/2097152], [2, 2]]]], [[4, 11, 6, 7, 1], [v = -1, And(
1 < u,u < 2^(1/2)), x = u^2-2, -u^2+2 < y, z = z], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [2, 2
], [0, 0]]]], [[4, 13, 2, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u
^2, And(0 < y,y < u^2), z < -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-1297479/524288, -2594957/1048576], [
2594957/2097152, 2594957/2097152], [-3, -3]]]], [[4, 13, 2, 3, 2], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(0 < y,y < u^2), z = -(u^2-y)^(1/2)
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1297479/
524288, -2594957/1048576], [2594957/2097152, 2594957/2097152], [-145801/131072
, -1166407/1048576]]]], [[4, 13, 2, 3, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2
)), x = -u^2, And(0 < y,y < u^2), And(-(u^2-y)^(1/2) < z,z < (u^2-y)^(1/2))],
[regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1297479/
524288, -2594957/1048576], [2594957/2097152, 2594957/2097152], [0, 0]]]], [[4,
13, 2, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(0 < y,y < u
^2), z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-1297479/524288, -2594957/1048576], [2594957/2097152, 2594957/
2097152], [1166407/1048576, 145801/131072]]]], [[4, 13, 2, 3, 5], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x = -u^2, And(0 < y,y < u^2), (u^2-y)^(1/2) < z], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-1297479/524288
, -2594957/1048576], [2594957/2097152, 2594957/2097152], [3, 3]]]], [[5, 1, 9,
8, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = u
^2-v^2-x-1, z = z], [regular_chain, [[-1/2, -1/2], [-3, -3], [35/8, 35/8], [27
/8, 27/8], [0, 0]]]], [[5, 3, 3, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1815885/
1048576, -1815885/1048576], [1815885/1048576, 1815885/1048576], [-1, -1]]]], [
[5, 3, 3, 6, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [-1815885/1048576, -1815885/1048576], [
1815885/1048576, 1815885/1048576], [0, 0]]]], [[5, 3, 3, 6, 3], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -x, 0 < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144
], [-1815885/1048576, -1815885/1048576], [1815885/1048576, 1815885/1048576], [
1, 1]]]], [[5, 12, 6, 5, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), x = 0, And
(0 < y,y < 1), z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [0, 0], [1/2
, 1/2], [0, 0]]]], [[5, 13, 11, 3, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-111/8, -111/8], [-4, -4]]]], [
[5, 13, 11, 3, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-
u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3
, 3], [9, 9], [-111/8, -111/8], [-1157597/524288, -2315193/1048576]]]], [[5, 
13, 11, 3, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+
v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-1/2, -1/2], [3, 3], [9, 9], [-111/8, -111/8], [0, 0]]]], [[5, 13, 11, 3, 4]
, [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-111
/8, -111/8], [2315193/1048576, 1157597/524288]]]], [[5, 13, 11, 3, 5], [And(-1
< v,v < 0), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [9, 9], [-111/8, -111/
8], [4, 4]]]], [[6, 4, 9, 6, 1], [v = 0, u = -1, 1 < x, y = 0, z = z], [
regular_chain, [[0, 0], [-1, -1], [2, 2], [0, 0], [0, 0]]]], [[6, 6, 4, 1, 1],
[v = 0, u = 0, x = 0, y < -1, z < -(-y)^(1/2)], [regular_chain, [[0, 0], [0, 0
], [0, 0], [-2, -2], [-3, -3]]]], [[6, 6, 4, 1, 2], [v = 0, u = 0, x = 0, y <
-1, z = -(-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [0, 0], [-2, -2], [-\
1482911/1048576, -741455/524288]]]], [[6, 6, 4, 1, 3], [v = 0, u = 0, x = 0, y
< -1, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [0, 0], [
0, 0], [-2, -2], [0, 0]]]], [[6, 6, 4, 1, 4], [v = 0, u = 0, x = 0, y < -1, z
= (-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [0, 0], [-2, -2], [741455/
524288, 1482911/1048576]]]], [[6, 6, 4, 1, 5], [v = 0, u = 0, x = 0, y < -1, (
-y)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [0, 0], [-2, -2], [3, 3]]]],
[[7, 1, 4, 8, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y = u^2-v^2,
z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [35/4, 35/4], [0, 0]]
]], [[7, 2, 7, 4, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(0 < x,x < 1),
y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [1/2, 1/2], [-1/2,
-1/2], [-1, -1]]]], [[7, 2, 7, 4, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), 
And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [
1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[7, 2, 7, 4, 3], [And(0 < v,v < 1), u = -
(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2],
[-3/2, -3/2], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[7, 7, 2, 5, 1], [And(0 <
v,v < 1), And(-v < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+
1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5
/4], [7/8, 7/8], [-2, -2]]]], [[7, 7, 2, 5, 2], [And(0 < v,v < 1), And(-v < u,
u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+
1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [7/8, 7/8], [-\
1284239/2097152, -642119/1048576]]]], [[7, 7, 2, 5, 3], [And(0 < v,v < 1), And
(-v < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^
2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2],
[0, 0], [-5/4, -5/4], [7/8, 7/8], [0, 0]]]], [[7, 7, 2, 5, 4], [And(0 < v,v <
1), And(-v < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z
= (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [7
/8, 7/8], [642119/1048576, 80265/131072]]]], [[7, 7, 2, 5, 5], [And(0 < v,v <
1), And(-v < u,u < v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-
u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-5/4, -5/4], [7
/8, 7/8], [2, 2]]]], [[7, 8, 6, 4, 1], [And(0 < v,v < 1), u = v, x = 1, y = -1
, z < 0], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-1, -1], [-1, -1]]
]], [[7, 8, 6, 4, 2], [And(0 < v,v < 1), u = v, x = 1, y = -1, z = 0], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [1, 1], [-1, -1], [0, 0]]]], [[7, 8, 6
, 4, 3], [And(0 < v,v < 1), u = v, x = 1, y = -1, 0 < z], [regular_chain, [[1/
2, 1/2], [1/2, 1/2], [1, 1], [-1, -1], [1, 1]]]], [[7, 11, 10, 7, 1], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(u^2-v^2-2 < y,y
< 0), z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1,
1], [-1125067/4194304, -1125067/4194304], [0, 0]]]], [[7, 13, 3, 8, 1], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z
= z], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [105/8, 105/8], [0,
0]]]], [[8, 4, 1, 1, 1], [v = 1, u = -2^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2
)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [-1
, -1], [-3, -3]]]], [[8, 4, 1, 1, 2], [v = 1, u = -2^(1/2), x < -2, y < 0, z =
-(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
-3, -3], [-1, -1], [-2, -2]]]], [[8, 4, 1, 1, 3], [v = 1, u = -2^(1/2), x < -2
, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-\
1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [0, 0]]]], [[8, 4, 1, 1,
4], [v = 1, u = -2^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[
1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [-1, -1], [2, 2]]]], [[8,
4, 1, 1, 5], [v = 1, u = -2^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [-1, -1]
, [3, 3]]]], [[8, 5, 7, 2, 1], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x
,x < 0), y = -u^2-x, z < u], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [-569265/2097152, -569265/2097152], [-1243255/1048576, -\
621627/524288], [-3, -3]]]], [[8, 5, 7, 2, 2], [v = 1, And(-2^(1/2) < u,u < -1
), And(u^2-2 < x,x < 0), y = -u^2-x, z = u], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-\
1243255/1048576, -621627/524288], [-1265743/1048576, -1265743/1048576]]]], [[8
, 5, 7, 2, 3], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -u^
2-x, And(u < z,z < -u)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [-569265/2097152, -569265/2097152], [-1243255/1048576, -621627/
524288], [0, 0]]]], [[8, 5, 7, 2, 4], [v = 1, And(-2^(1/2) < u,u < -1), And(u^
2-2 < x,x < 0), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [-1243255/
1048576, -621627/524288], [1265743/1048576, 1265743/1048576]]]], [[8, 5, 7, 2,
5], [v = 1, And(-2^(1/2) < u,u < -1), And(u^2-2 < x,x < 0), y = -u^2-x, -u < z
], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [-569265/
2097152, -569265/2097152], [-1243255/1048576, -621627/524288], [3, 3]]]], [[8,
12, 1, 4, 1], [v = 1, u = 2^(1/2), x < -2, y = -x-2, z < -2^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-\
3, -3]]]], [[8, 12, 1, 4, 2], [v = 1, u = 2^(1/2), x < -2, y = -x-2, z = -2^(1
/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [1,
1], [-1482911/1048576, -741455/524288]]]], [[8, 12, 1, 4, 3], [v = 1, u = 2^(1
/2), x < -2, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[1, 1]
, [741455/524288, 1482911/1048576], [-3, -3], [1, 1], [0, 0]]]], [[8, 12, 1, 4
, 4], [v = 1, u = 2^(1/2), x < -2, y = -x-2, z = 2^(1/2)], [regular_chain, [[1
, 1], [741455/524288, 1482911/1048576], [-3, -3], [1, 1], [741455/524288, 
1482911/1048576]]]], [[8, 12, 1, 4, 5], [v = 1, u = 2^(1/2), x < -2, y = -x-2,
2^(1/2) < z], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3,
-3], [1, 1], [3, 3]]]], [[8, 13, 7, 5, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)
), And(0 < x,x < u^2-2), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [
3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-124451/
1048576, -124451/1048576], [0, 0]]]], [[9, 2, 4, 7, 1], [And(1 < v,v < 2^(1/2)
), u = -(v^2+2)^(1/2), x = -1, And(1 < y,y < 2), z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1,
-1], [3/2, 3/2], [0, 0]]]], [[9, 3, 9, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-\
1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-5, -\
5], [-4, -4]]]], [[9, 3, 9, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [775271/1048576, 775271/1048576], [-5, -5], [-\
2164401/1048576, -135275/65536]]]], [[9, 3, 9, 1, 3], [And(1 < v,v < 2^(1/2)),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), y < -u^2
+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/
1048576, 775271/1048576], [-5, -5], [0, 0]]]], [[9, 3, 9, 1, 4], [And(1 < v,v
< 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x <
1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 
775271/1048576], [-5, -5], [135275/65536, 2164401/1048576]]]], [[9, 3, 9, 1, 5
], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(u^
2-v^2-1 < x,x < 1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [
775271/1048576, 775271/1048576], [-5, -5], [4, 4]]]], [[9, 13, 5, 2, 1], [And(
1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/4194304, -\
3213833/4194304], [-367677/524288, -1470707/2097152], [-3, -3]]]], [[9, 13, 5,
2, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u
^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [-367677/524288, -1470707/2097152], [-\
1270261/1048576, -317565/262144]]]], [[9, 13, 5, 2, 3], [And(1 < v,v < 2^(1/2)
), And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1,
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-3213833/
4194304, -3213833/4194304], [-367677/524288, -1470707/2097152], [0, 0]]]], [[9
, 13, 5, 2, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-1
< x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-\
3213833/4194304, -3213833/4194304], [-367677/524288, -1470707/2097152], [
317565/262144, 1270261/1048576]]]], [[9, 13, 5, 2, 5], [And(1 < v,v < 2^(1/2))
, And(v < u,u < (v^2+1)^(1/2)), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-3213833/4194304, -3213833/4194304], [-\
367677/524288, -1470707/2097152], [3, 3]]]], [[9, 14, 9, 1, 1], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [2, 2], [-5, -5], [-3, -3]]]], [[9, 14, 9, 1, 2], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [2, 2],
[-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[9, 14, 9, 1, 3], [And(1 <
v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[9, 
14, 9, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y < -x-2, z =
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]]
, [[9, 14, 9, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), 1 < x, y < -x
-2, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [2, 2], [-5, -5], [3, 3]]]], [[10, 1, 8, 5, 1
], [v = 2^(1/2), u < -2, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [1, 1], [-1/2, -1/2], [0, 0]]]], [[
10, 3, 1, 6, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -x, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [4, 4], [-1, -1]]]], [[10, 3, 1, 6, 2], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -x, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -4
], [4, 4], [0, 0]]]], [[10, 3, 1, 6, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)
), x < -u^2+1, y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-4, -4], [4, 4], [1, 1]]]], [
[10, 9, 5, 3, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(u^2-
x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [-3, -3]]]], [[10, 9, 5, 3
, 2], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(u^2-x-3 < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1
/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [-668339/524288, -1336677/1048576]]]],
[[10, 9, 5, 3, 3], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0), And(u^2
-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [0,
0]]]], [[10, 9, 5, 3, 4], [v = 2^(1/2), And(-1 < u,u < 0), And(-1 < x,x < 0),
And(u^2-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [1336677/1048576,
668339/524288]]]], [[10, 9, 5, 3, 5], [v = 2^(1/2), And(-1 < u,u < 0), And(-1
< x,x < 0), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1/2, -1/2], [-9/8, -9/8], [3,
3]]]], [[10, 10, 7, 4, 1], [v = 2^(1/2), u = 0, And(0 < x,x < 1), y = -x, z <
0], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [1/2, 1/2], [-1
/2, -1/2], [-1, -1]]]], [[10, 10, 7, 4, 2], [v = 2^(1/2), u = 0, And(0 < x,x <
1), y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0],
[1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[10, 10, 7, 4, 3], [v = 2^(1/2), u = 0,
And(0 < x,x < 1), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 15, 3, 4, 1], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, z < -(-x)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [0, 0], [-3, -3]]]], [
[10, 15, 3, 4, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1
), y = 0, z = -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [0,
0], [-1166407/1048576, -583203/524288]]]], [[10, 15, 3, 4, 3], [v = 2^(1/2), 
And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [0, 0], [0, 0
]]]], [[10, 15, 3, 4, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x
,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [0, 0], [583203/524288, 1166407/1048576]]]], [[10, 15, 3, 4, 5], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = 0, (-x)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [0, 0], [3, 3]]]], [[
10, 16, 6, 4, 1], [v = 2^(1/2), u = 3^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[10, 16, 6, 4, 2], [v = 2^(1/2), u = 3
^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 1482911/1048576
], [908093/524288, 1816187/1048576], [0, 0], [0, 0], [0, 0]]]], [[10, 16, 6, 4
, 3], [v = 2^(1/2), u = 3^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [0, 0], [0,
0], [1, 1]]]], [[10, 19, 7, 6, 1], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y =
0, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/
2], [0, 0], [0, 0]]]], [[11, 1, 9, 5, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), 
And(1 < x,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[3, 3],
[-5, -5], [8, 8], [-4, -4], [0, 0]]]], [[11, 5, 10, 7, 1], [2^(1/2) < v, And(-
(v^2+1)^(1/2) < u,u < -v), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [
[3, 3], [-403851/131072, -403851/131072], [1, 1], [-1/2, -1/2], [0, 0]]]], [[
11, 7, 7, 4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 0), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3]
, [-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-\
258287/1048576, -129143/524288], [-2, -2]]]], [[11, 7, 7, 4, 2], [2^(1/2) < v,
And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [-516571/2097152, -516571/2097152], [-258287/1048576, -129143/524288
], [-735979/1048576, -1471957/2097152]]]], [[11, 7, 7, 4, 3], [2^(1/2) < v, 
And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [
-6111549/2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-\
258287/1048576, -129143/524288], [-1/4194304, -1/4194304]]]], [[11, 7, 7, 4, 4
], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-258287/
1048576, -129143/524288], [367989/524288, 735979/1048576]]]], [[11, 7, 7, 4, 5
], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [-516571/2097152, -516571/2097152], [-258287/
1048576, -129143/524288], [2, 2]]]], [[11, 13, 5, 7, 1], [2^(1/2) < v, And((v^
2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(-x < y,y < -u^2+v^2-
x-1), z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2
, -1/2], [395403/524288, 395403/524288], [0, 0]]]], [[11, 14, 9, 6, 1], [2^(1/
2) < v, u = (v^2-1)^(1/2), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [2, 2], [0, 0], [0, 0]]]], [[11, 19, 5, 4, 1]
, [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[11, 19, 5, 4, 2], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, z = -(-x)^
(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [-1/2, -1
/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[11, 19, 5, 4, 3], [2^(1
/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 19, 5, 4, 4]
, [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x < 0), y
= 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/
1048576], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 19, 5,
4, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-1 < x,x <
0), y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811
/1048576], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 20, 7, 5, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain
, [[3, 3], [3477733/1048576, 1738867/524288], [1/2, 1/2], [-1/4, -1/4], [0, 0]
]]], [[1, 2, 3, 9, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1),
1-x < y, z = z], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576
], [-2, -2], [4, 4], [0, 0]]]], [[1, 3, 8, 1, 1], [v < -2^(1/2), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^2+v^2
-y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576],
[129511/262144, 518045/1048576], [-4, -4], [-3, -3]]]], [[1, 3, 8, 1, 2], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^
2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-4, -4], [-\
7853497/4194304, -981687/524288]]]], [[1, 3, 8, 1, 3], [v < -2^(1/2), And(-(v^
2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^
2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-4, -4],
[0, 0]]]], [[1, 3, 8, 1, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [-4, -4], [981687/524288, 1963375/1048576]]]], [[1, 3, 8, 1
, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1
, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-4, -4],
[3, 3]]]], [[1, 8, 4, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, And(0
< y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[1, 8, 4, 5, 2], [v < -
2^(1/2), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [1/
2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[1, 8, 4, 5, 3], [v < -2^(1/
2), u = -(v^2-1)^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-
y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-1, -1], [1/2, 1/2], [0, 0]]]], [[1, 8, 4, 5, 4], [v < -2^(1/2), u = -(v^2-1)
^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [741455/1048576,
46341/65536]]]], [[1, 8, 4, 5, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1,
And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-1, -1], [1/2, 1/2], [2, 2]]]], [[1, 9, 9, 9, 1]
, [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 <
x,x < 1), 0 < y, z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [395403/524288, 395403/524288], [1, 1], [0, 0]]]], [[1, 15,
6, 1, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*
u^2-2*v^2, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-3, -3], [-3, -\
3]]]], [[1, 15, 6, 1, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u
^2+v^2-1, y < 2*u^2-2*v^2, z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3
], [6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-3,
-3], [-7838571/4194304, -3919285/2097152]]]], [[1, 15, 6, 1, 3], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, And(-(u^2-v^
2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-3, -3]
, [-1/4194304, -1/4194304]]]], [[1, 15, 6, 1, 4], [v < -2^(1/2), And((v^2-1)^(
1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-2*v^2, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-3, -3], [979821/524288, 1959643/1048576]]]], [[1, 15, 6, 1
, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y < 2*u^2-\
2*v^2, (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152,
6111549/2097152], [-129143/262144, -516571/1048576], [-3, -3], [3, 3]]]], [[1,
17, 2, 7, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, u^
2-v^2+1 < y, z = z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072]
, [-195745/131072, -1565959/1048576], [3, 3], [0, 0]]]], [[1, 21, 5, 9, 1], [v
< -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), u^2-v^2-x-1 < y, z = z], [
regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [17, 17], [0, 0]]]], [[2, 1, 8
, 1, 1], [v = -2^(1/2), u < -2, x = 1, y < -u^2, z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-10, -\
10], [-4, -4]]]], [[2, 1, 8, 1, 2], [v = -2^(1/2), u < -2, x = 1, y < -u^2, z
= -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3
], [1, 1], [-10, -10], [-3, -3]]]], [[2, 1, 8, 1, 3], [v = -2^(1/2), u < -2, x
= 1, y < -u^2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-10, -10], [0, 0]]]], [[2
, 1, 8, 1, 4], [v = -2^(1/2), u < -2, x = 1, y < -u^2, z = (-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-10, -\
10], [3, 3]]]], [[2, 1, 8, 1, 5], [v = -2^(1/2), u < -2, x = 1, y < -u^2, (-y-\
1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[1, 1], [-10, -10], [4, 4]]]], [[2, 10, 4, 9, 1], [v = -2^(1/2), u = 0, x = -1
, 2 < y, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0],
[-1, -1], [3, 3], [0, 0]]]], [[2, 11, 9, 3, 1], [v = -2^(1/2), And(0 < u,u < 1
), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-\
9/4, -9/4], [-3, -3]]]], [[2, 11, 9, 3, 2], [v = -2^(1/2), And(0 < u,u < 1), 
And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-\
9/4, -9/4], [-1229565/1048576, -307391/262144]]]], [[2, 11, 9, 3, 3], [v = -2^
(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [7/8, 7/8], [-9/4, -9/4], [0, 0]]]], [[2, 11, 9, 3
, 4], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And(u^2-x-3 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1/2, 1/2], [7/8, 7/8], [-9/4, -9/4], [307391/262144, 1229565/1048576]]]],
[[2, 11, 9, 3, 5], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), And
(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [7/8, 7/8], [-9/4, -9/4], [3, 3]]]], [[2, 16, 5, 7
, 1], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), -x < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[2, 17, 10, 9, 1], [v = -2^(1/2),
And(3^(1/2) < u,u < 2), x = 1, 0 < y, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [1, 1], [1, 1],
[0, 0]]]], [[3, 4, 3, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), 
And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [3, 3], [0
, 0]]]], [[3, 5, 9, 4, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u
< v), And(0 < x,x < 1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/1048576], [-2, -2]]]],
[[3, 5, 9, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), 
And(0 < x,x < 1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1
/2, 1/2], [-270657/262144, -1082627/1048576], [-1530309/2097152, -382577/
524288]]]], [[3, 5, 9, 4, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) <
u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (
-u^2+v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/
1048576], [0, 0]]]], [[3, 5, 9, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/1048576], [382577/
524288, 765155/1048576]]]], [[3, 5, 9, 4, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2
) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-270657/262144, -1082627/1048576], [2
, 2]]]], [[3, 10, 6, 1, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x =
0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[3,
10, 6, 1, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y < -2, z =
-(-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152
]]]], [[3, 10, 6, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0,
y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [-3, -3],
[-1/4194304, -1/4194304]]]], [[3, 10, 6, 1, 4], [And(-2^(1/2) < v,v < -1), u =
(v^2-1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [-3, -3],
[908093/524288, 1816187/1048576]]]], [[3, 10, 6, 1, 5], [And(-2^(1/2) < v,v <
-1), u = (v^2-1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [
-3, -3], [3, 3]]]], [[3, 11, 11, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)
^(1/2) < u,u < -v), 1 < x, y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2,
2], [-5, -5], [-3, -3]]]], [[3, 11, 11, 1, 2], [And(-2^(1/2) < v,v < -1), And(
(v^2-1)^(1/2) < u,u < -v), 1 < x, y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[3, 11,
11, 1, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y
< u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[-5, -5], [-1/4194304, -1/4194304]]]], [[3, 11, 11, 1, 4], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y < u^2-v^2-x-1, z = (-x-y)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[3, 
11, 11, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x
, y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-5, -5], [3, 3]]]
], [[3, 15, 4, 8, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = -1, y = u^2-v^2, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [1550541/1048576,
775271/524288], [0, 0]]]], [[3, 16, 6, 7, 1], [And(-2^(1/2) < v,v < -1), u = (
v^2+2)^(1/2), x = 0, 1 < y, z = z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [2, 2], [0, 0]]]],
[[4, 3, 7, 9, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2
), u^2-x-2 < y, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195
/4194304], [248903/1048576, 248903/1048576], [2, 2], [0, 0]]]], [[4, 5, 3, 1,
1], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y < -u^2-x, z < -
(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [-1288231/1048576, -1288231/1048576], [-2, -2], [-3, -3]]]], [[4, 5, 3, 1, 2
], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y < -u^2-x, z = -(
-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [-2, -2], [-7536399/4194304, -3768199/
2097152]]]], [[4, 5, 3, 1, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x
,x < -1), y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231
/1048576], [-2, -2], [-1/4194304, -1/4194304]]]], [[4, 5, 3, 1, 4], [v = -1, 
And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y < -u^2-x, z = (-x-y)^(1/2)],
[regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-2, -2], [1884099/1048576, 471025/262144]]]], [[4
, 5, 3, 1, 5], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y < -u
^2-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [-2, -2], [3, 3]]]], [
[4, 11, 6, 5, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < -u
^2+2), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1138531/2097152, -569265/1048576], [569265/2097152, 569265
/2097152], [-2, -2]]]], [[4, 11, 6, 5, 2], [v = -1, And(1 < u,u < 2^(1/2)), x
= u^2-2, And(0 < y,y < -u^2+2), z = -(-u^2-y+2)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576],
[569265/2097152, 569265/2097152], [-1092629/2097152, -273157/524288]]]], [[4,
11, 6, 5, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < -u^2+2
), And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1]
, [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/2097152, 569265/2097152], [0, 0]]]], [[4, 11, 6, 5, 4], [v = -1, And(1
< u,u < 2^(1/2)), x = u^2-2, And(0 < y,y < -u^2+2), z = (-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [569265/2097152, 569265/2097152], [273157/524288, 
546315/1048576]]]], [[4, 11, 6, 5, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = u^
2-2, And(0 < y,y < -u^2+2), (-u^2-y+2)^(1/2) < z], [regular_chain, [[-1, -1],
[1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [
569265/2097152, 569265/2097152], [2, 2]]]], [[4, 13, 1, 6, 1], [v = -1, And(2^
(1/2) < u,u < 3^(1/2)), x < -u^2, y = -x, z < 0], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-4, -4], [4, 4], [-1, -1]]]], [[4, 13, 1,
6, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -x, z = 0], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [4, 4]
, [0, 0]]]], [[4, 13, 1, 6, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^
2, y = -x, 0 < z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-4, -4], [4, 4], [1, 1]]]], [[5, 1, 11, 6, 1], [And(-1 < v,v < 0),
u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[
-1/2, -1/2], [-3, -3], [9, 9], [-5/4, -5/4], [0, 0]]]], [[5, 3, 4, 7, 1], [And
(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(1 < y,
y < u^2-v^2), z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1, -1], [1291597/1048576, 1291597/1048576], [0, 0]]]], [[5, 12, 5,
4, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(
-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [0, 0], [
-2, -2]]]], [[5, 12, 5, 4, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 <
x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2],
[-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[5, 12, 5, 4, 3
], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^
(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2,
-1/2], [0, 0], [0, 0]]]], [[5, 12, 5, 4, 4], [And(-1 < v,v < 0), u = (v^2+2)^(
1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [3/2, 3/2], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[5, 12,
5, 4, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, (-x
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [0, 0],
[2, 2]]]], [[5, 13, 9, 5, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x
,x < u^2-v^2-1), And(-x < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [3,
3], [35/8, 35/8], [-35/16, -35/16], [0, 0]]]], [[6, 5, 1, 5, 1], [v = 0, And(-\
1 < u,u < 0), x < -u^2-1, And(-u^2-x-1 < y,y < u^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [2, 2], [-2, -2]]]], [[6, 5, 1
, 5, 2], [v = 0, And(-1 < u,u < 0), x < -u^2-1, And(-u^2-x-1 < y,y < u^2-x-1),
z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [2, 2], [
-1, -1]]]], [[6, 5, 1, 5, 3], [v = 0, And(-1 < u,u < 0), x < -u^2-1, And(-u^2-
x-1 < y,y < u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[0, 0], [-1/2, -1/2], [-3, -3], [2, 2], [0, 0]]]], [[6, 5, 1, 5, 4], [v = 0
, And(-1 < u,u < 0), x < -u^2-1, And(-u^2-x-1 < y,y < u^2-x-1), z = (-x-y)^(1/
2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [2, 2], [1, 1]]]], [[6,
5, 1, 5, 5], [v = 0, And(-1 < u,u < 0), x < -u^2-1, And(-u^2-x-1 < y,y < u^2-x
-1), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [2, 2
], [2, 2]]]], [[6, 6, 4, 3, 1], [v = 0, u = 0, x = 0, And(-1 < y,y < 0), z < -
(-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [0, 0], [-1/2, -1/2], [-2, -2]]]
], [[6, 6, 4, 3, 2], [v = 0, u = 0, x = 0, And(-1 < y,y < 0), z = -(-y)^(1/2)]
, [regular_chain, [[0, 0], [0, 0], [0, 0], [-1/2, -1/2], [-1482911/2097152, -\
741455/1048576]]]], [[6, 6, 4, 3, 3], [v = 0, u = 0, x = 0, And(-1 < y,y < 0),
And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [0, 0], [0, 0],
[-1/2, -1/2], [0, 0]]]], [[6, 6, 4, 3, 4], [v = 0, u = 0, x = 0, And(-1 < y,y
< 0), z = (-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [0, 0], [-1/2, -1/2],
[741455/1048576, 46341/65536]]]], [[6, 6, 4, 3, 5], [v = 0, u = 0, x = 0, And(
-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[0, 0], [0, 0], [0, 0], [-1/2
, -1/2], [2, 2]]]], [[7, 1, 3, 7, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), 
And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [37/4, 37/4], [0, 0]]]],
[[7, 2, 5, 6, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y
= -x, z < 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [1/2, 1
/2], [-1, -1]]]], [[7, 2, 5, 6, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And
(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1
/2, -1/2], [1/2, 1/2], [0, 0]]]], [[7, 2, 5, 6, 3], [And(0 < v,v < 1), u = -(v
^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [
-3/2, -3/2], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[7, 7, 3, 4, 1], [And(0 < v
,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)]
, [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [0, 0], [-3, -3]]]], [[7,
7, 3, 4, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1),
y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [0
, 0], [-1112183/1048576, -556091/524288]]]], [[7, 7, 3, 4, 3], [And(0 < v,v <
1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [0, 0], [0,
0]]]], [[7, 7, 3, 4, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 <
x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8,
-9/8], [0, 0], [556091/524288, 1112183/1048576]]]], [[7, 7, 3, 4, 5], [And(0 <
v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [0, 0], [3, 3]]]], [[7, 8
, 6, 6, 1], [And(0 < v,v < 1), u = v, x = 1, y = 0, z = z], [regular_chain, [[
1/2, 1/2], [1/2, 1/2], [1, 1], [0, 0], [0, 0]]]], [[7, 11, 10, 1, 1], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z <
-(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
1, 1], [-5, -5], [-3, -3]]]], [[7, 11, 10, 1, 2], [And(0 < v,v < 1), And((v^2+
1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-5, -5],
[-2, -2]]]], [[7, 11, 10, 1, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))
], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-5, -\
5], [0, 0]]]], [[7, 11, 10, 1, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[
1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-5, -5], [2, 2]]]], [[7, 
11, 10, 1, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1, 1], [-5, -5], [3, 3]]]], [[7, 13, 3, 6, 1], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [43/8, 43/8], [-1, -1]]]],
[[7, 13, 3, 6, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x
< -1), y = -x, z = 0], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [
43/8, 43/8], [0, 0]]]], [[7, 13, 3, 6, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [3
, 3], [-43/8, -43/8], [43/8, 43/8], [1, 1]]]], [[8, 4, 2, 4, 1], [v = 1, u = -
2^(1/2), x = -2, y = 2, z < 0], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-2, -2], [2, 2], [-1, -1]]]], [[8, 4, 2, 4, 2], [v = 1, u = -
2^(1/2), x = -2, y = 2, z = 0], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-2, -2], [2, 2], [0, 0]]]], [[8, 4, 2, 4, 3], [v = 1, u = -2^
(1/2), x = -2, y = 2, 0 < z], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-2, -2], [2, 2], [1, 1]]]], [[8, 5, 8, 7, 1], [v = 1, And(-2^
(1/2) < u,u < -1), x = 0, 0 < y, z = z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[8, 11, 11, 7, 1], [v
= 1, And(1 < u,u < 2^(1/2)), 1 < x, And(-x < y,y < 0), z = z], [regular_chain,
[[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-1, -1], [0, 0]]]], [[8,
13, 7, 3, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(
-u^2-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-3092763/2097152
, -3092763/2097152], [-3, -3]]]], [[8, 13, 7, 3, 2], [v = 1, And(2^(1/2) < u,u
< 3^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152,
497805/2097152], [-3092763/2097152, -3092763/2097152], [-145801/131072, -\
1166407/1048576]]]], [[8, 13, 7, 3, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805
/2097152, 497805/2097152], [-3092763/2097152, -3092763/2097152], [0, 0]]]], [[
8, 13, 7, 3, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), 
And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-3092763/2097152
, -3092763/2097152], [1166407/1048576, 145801/131072]]]], [[8, 13, 7, 3, 5], [
v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [497805/2097152, 497805/2097152], [-3092763/2097152, -3092763/
2097152], [3, 3]]]], [[9, 2, 5, 8, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(
1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [3/2, 3/
2], [0, 0]]]], [[9, 3, 10, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1,
1], [-1093221/2097152, -273305/524288], [0, 0]]]], [[9, 13, 3, 6, 1], [And(1 <
v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y =
u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [735353/1048576, 367677/524288], [-2, -2]]]], [[9, 13, 3, 6,
2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,
x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/
2097152, -2587387/2097152], [735353/1048576, 367677/524288], [-765155/1048576,
-1530309/2097152]]]], [[9, 13, 3, 6, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+
1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-2587387/2097152, -\
2587387/2097152], [735353/1048576, 367677/524288], [-1/4194304, -1/4194304]]]]
, [[9, 13, 3, 6, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [735353/1048576, 367677/524288
], [382577/524288, 765155/1048576]]]], [[9, 13, 3, 6, 5], [And(1 < v,v < 2^(1/
2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1
, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [
735353/1048576, 367677/524288], [2, 2]]]], [[9, 14, 7, 5, 1], [And(1 < v,v < 2
^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 1, 8, 7, 1], [v = 2^(1/2),
u < -2, x = 1, And(0 < y,y < u^2-4), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [-3, -3], [1, 1], [5/2, 5/2], [0, 0]]]], [[10, 3, 2, 3, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), z <
-(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [
2602619/2097152, 2602619/2097152], [-3, -3]]]], [[10, 3, 2, 3, 2], [v = 2^(1/2
), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), z = -(u^2-y-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/2097152, 
2602619/2097152], [-4563/4096, -1168127/1048576]]]], [[10, 3, 2, 3, 3], [v = 2
^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), And(-(u^2-
y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911
/1048576], [-3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/
1048576], [2602619/2097152, 2602619/2097152], [0, 0]]]], [[10, 3, 2, 3, 4], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), z = (u^
2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/
2097152, 2602619/2097152], [1168127/1048576, 4563/4096]]]], [[10, 3, 2, 3, 5],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, And(0 < y,y < u^2-1), (u^2
-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339
/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/
2097152, 2602619/2097152], [3, 3]]]], [[10, 9, 3, 7, 1], [v = 2^(1/2), And(-1
< u,u < 0), And(u^2-3 < x,x < -1), And(-x < y,y < -u^2-x+1), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8]
, [9/4, 9/4], [0, 0]]]], [[10, 10, 6, 1, 1], [v = 2^(1/2), u = 0, x = 0, y < -\
3, z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0]
, [0, 0], [-4, -4], [-3, -3]]]], [[10, 10, 6, 1, 2], [v = 2^(1/2), u = 0, x =
0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [0, 0], [0, 0], [-4, -4], [-2, -2]]]], [[10, 10, 6, 1, 3], [v = 2^(1/2), u =
0, x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [0, 0], [-4, -4], [0, 0]]]], [[10, 10
, 6, 1, 4], [v = 2^(1/2), u = 0, x = 0, y < -3, z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-4, -4], [2
, 2]]]], [[10, 10, 6, 1, 5], [v = 2^(1/2), u = 0, x = 0, y < -3, (-y)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-4, -4
], [3, 3]]]], [[10, 15, 3, 6, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u
^2+1 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [186677/262144, 746709/1048576], [-2, -2]]]], [[10
, 15, 3, 6, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1),
y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [186677/262144, 746709/1048576], [-1519901/2097152, -379975/524288]]
]], [[10, 15, 3, 6, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x
< -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [186677/262144, 746709/1048576
], [0, 0]]]], [[10, 15, 3, 6, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u
^2+1 < x,x < -1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [186677/262144, 746709/1048576], [379975/524288, 
759951/1048576]]]], [[10, 15, 3, 6, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
And(-u^2+1 < x,x < -1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957
/2097152, -2594957/2097152], [186677/262144, 746709/1048576], [2, 2]]]], [[10,
16, 7, 5, 1], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), And(-x < y,y < 0),
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[10, 19, 6, 7, 1], [v
= 2^(1/2), 2 < u, x = 0, u^2-3 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [0, 0], [7, 7], [0, 0]]]], [[11, 1, 9, 3, 1], [2^(1/
2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-33/2, -\
33/2], [-4, -4]]]], [[11, 1, 9, 3, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1
< x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-5, -5], [8, 8], [-33/2, -33/2], [-24456785/8388608,
-1528549/524288]]]], [[11, 1, 9, 3, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(
1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-33/2, -33/2], [0,
0]]]], [[11, 1, 9, 3, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-
v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3,
3], [-5, -5], [8, 8], [-33/2, -33/2], [1528549/524288, 3057099/1048576]]]], [[
11, 1, 9, 3, 5], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), 
And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-5,
-5], [8, 8], [-33/2, -33/2], [4, 4]]]], [[11, 5, 11, 8, 1], [2^(1/2) < v, And(
-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = 0, z = z], [regular_chain, [[3, 3], [-\
403851/131072, -403851/131072], [2, 2], [0, 0], [0, 0]]]], [[11, 7, 9, 2, 1],
[2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-\
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [-3, -3]]]],
[[11, 7, 9, 2, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x <
1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/
262144], [-1287385/1048576, -160923/131072]]]], [[11, 7, 9, 2, 3], [2^(1/2) <
v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, And(-(-u
^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-\
6111549/2097152, -6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/
262144], [0, 0]]]], [[11, 7, 9, 2, 4], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(
1/2)), And(0 < x,x < 1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
2104869/1048576, -526217/262144], [160923/131072, 1287385/1048576]]]], [[11, 7
, 9, 2, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y
= u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-2104869/1048576, -526217/262144], [3
, 3]]]], [[11, 13, 5, 1, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(
1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain,
[[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-4, -4], [-4, -4]]]]
, [[11, 13, 5, 1, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)),
And(-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3
], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-4, -4], [-1112183/524288,
-2224365/1048576]]]], [[11, 13, 5, 1, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,
u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[-1/2, -1/2], [-4, -4], [0, 0]]]], [[11, 13, 5, 1, 4], [2^(1/2) < v, And((v^2-\
2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-v^2-x-1, z = (-x-y
)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1
/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[11, 13, 5, 1, 5], [2^(1
/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y < u^2-
v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 1435023/
524288], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[11, 14, 9, 4, 1], [2^(1/2) < v,
u = (v^2-1)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[11, 14, 9, 4, 2], [
2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [2, 2], [-2, -2], [0, 0]]]], [[11, 14, 9,
4, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain,
[[3, 3], [741455/262144, 2965821/1048576], [2, 2], [-2, -2], [1, 1]]]], [[11,
19, 6, 5, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, 
And(0 < y,y < u^2-v^2-1), z = z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [0, 0], [129511/524288, 129511/524288], [0, 0]]]], [[11, 20,
9, 3, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2,
2], [-7/2, -7/2], [-3, -3]]]], [[11, 20, 9, 3, 2], [2^(1/2) < v, u = (v^2+2)^(
1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [2, 2], [-7/2, -7/2], [-1284239/1048576,
-642119/524288]]]], [[11, 20, 9, 3, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x
, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [-7/2, -7/2
], [0, 0]]]], [[11, 20, 9, 3, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, And(
-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576
, 1738867/524288], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]],
[[11, 20, 9, 3, 5], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, And(-x-3 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [2, 2], [-7/2, -7/2], [3, 3]]]], [[1, 5, 3, 2, 1], [v < -2^(1/2), And
(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z <
-(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-64673/262144, -258691/1048576
], [-3, -3]]]], [[1, 5, 3, 2, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v)
, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-64673/262144, -258691/1048576], [-1281417/1048576, -\
160177/131072]]]], [[1, 5, 3, 2, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u <
v), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [-64673/262144, -258691/1048576
], [0, 0]]]], [[1, 5, 3, 2, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-64673/262144, -258691/1048576], [160177/131072, 1281417/
1048576]]]], [[1, 5, 3, 2, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), 
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-64673/262144, -258691/1048576], [3, 3]]]], [[1, 6, 6, 4,
1], [v < -2^(1/2), u = v, x = 1, y = -1, z < 0], [regular_chain, [[-3, -3], [-\
3, -3], [1, 1], [-1, -1], [-1, -1]]]], [[1, 6, 6, 4, 2], [v < -2^(1/2), u = v,
x = 1, y = -1, z = 0], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [-1, -1],
[0, 0]]]], [[1, 6, 6, 4, 3], [v < -2^(1/2), u = v, x = 1, y = -1, 0 < z], [
regular_chain, [[-3, -3], [-3, -3], [1, 1], [-1, -1], [1, 1]]]], [[1, 11, 3, 1
, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1
< x,x < -1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
0, 0], [-11/2, -11/2], [-6, -6], [-5, -5]]]], [[1, 11, 3, 1, 2], [v < -2^(1/2)
, And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^
2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/
2], [-6, -6], [-3555895/1048576, -1777947/524288]]]], [[1, 11, 3, 1, 3], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1)
, y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-3, -3], [0, 0], [-11/2, -11/2], [-6, -6], [0, 0]]]], [[1, 11, 3, 1, 4], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1)
, y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/
2, -11/2], [-6, -6], [1777947/524288, 3555895/1048576]]]], [[1, 11, 3, 1, 5],
[v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x
< -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [0, 0],
[-11/2, -11/2], [-6, -6], [5, 5]]]], [[1, 12, 4, 9, 1], [v < -2^(1/2), u = (v^
2-2)^(1/2), x = -1, 2 < y, z = z], [regular_chain, [[-3, -3], [2774271/1048576
, 10837/4096], [-1, -1], [3, 3], [0, 0]]]], [[1, 18, 5, 7, 1], [v < -2^(1/2),
u = (v^2+1)^(1/2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-3, -3
], [207243/65536, 3315889/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[1, 19,
10, 9, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, 0 <
y, z = z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [1,
1], [1, 1], [0, 0]]]], [[2, 3, 1, 2, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2
)), x < -u^2+1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [0, 0], [-3, -\
3]]]], [[2, 3, 1, 2, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1,
y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[-3913339/2097152, -3913339/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[2, 3, 1
, 2, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = 0, And(-(-x)
^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [0, 0], [0, 0]]]], [[
2, 3, 1, 2, 4], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = 0, z
= (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-4, -4], [0, 0], [2, 2]]]], [[2, 3, 1, 2, 5], [v
= -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = 0, (-x)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [0, 0], [3, 3]]]], [[2, 4, 3, 7, 1], [v = -2^(1/2)
, u = -3^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[-1482911
/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2],
[3, 3], [0, 0]]]], [[2, 7, 7, 9, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^
2+1 < x,x < 0), -x < y, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/
1048576], [2, 2], [0, 0]]]], [[2, 9, 3, 1, 1], [v = -2^(1/2), And(-1 < u,u < 0
), And(u^2-3 < x,x < -1), y < u^2-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [-2, -2], [-3,
-3]]]], [[2, 9, 3, 1, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x <
-1), y < u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-15/8, -15/8], [-2, -2], [-33025983/16777216, -\
16512991/8388608]]]], [[2, 9, 3, 1, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(
u^2-3 < x,x < -1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/
8], [-2, -2], [-7/16777216, -7/16777216]]]], [[2, 9, 3, 1, 4], [v = -2^(1/2),
And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y < u^2-x-3, z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/
8], [-2, -2], [2064123/1048576, 516031/262144]]]], [[2, 9, 3, 1, 5], [v = -2^(
1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y < u^2-x-3, (-x-y)^(1/2) < z]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -\
15/8], [-2, -2], [3, 3]]]], [[2, 13, 6, 1, 1], [v = -2^(1/2), And(1 < u,u < -v
), x = -u^2+1, y < 2*u^2-4, z < -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-479311/1048576
, -239655/524288], [-3, -3], [-3, -3]]]], [[2, 13, 6, 1, 2], [v = -2^(1/2), 
And(1 < u,u < -v), x = -u^2+1, y < 2*u^2-4, z = -(u^2-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-3, -3], [-3899297/2097152, -\
7798593/4194304]]]], [[2, 13, 6, 1, 3], [v = -2^(1/2), And(1 < u,u < -v), x =
-u^2+1, y < 2*u^2-4, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [-3, -3], [-1/8388608, -1/8388608
]]]], [[2, 13, 6, 1, 4], [v = -2^(1/2), And(1 < u,u < -v), x = -u^2+1, y < 2*u
^2-4, z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [-3,
-3], [121853/65536, 1949649/1048576]]]], [[2, 13, 6, 1, 5], [v = -2^(1/2), And
(1 < u,u < -v), x = -u^2+1, y < 2*u^2-4, (u^2-y-1)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
479311/1048576, -239655/524288], [-3, -3], [3, 3]]]], [[2, 15, 2, 7, 1], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, u^2-1 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [3, 3], [0, 0]]]], [[3, 1, 8, 1,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z <
-(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3
], [1, 1], [-11, -11], [-5, -5]]]], [[3, 1, 8, 1, 2], [And(-2^(1/2) < v,v < -1
), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-11,
-11], [-3315889/1048576, -207243/65536]]]], [[3, 1, 8, 1, 3], [And(-2^(1/2) <
v,v < -1), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z
< (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [1, 1], [-11, -11], [0, 0]]]], [[3, 1, 8, 1, 4], [And(-2^(1/2) < v,v < -1
), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-11,
-11], [207243/65536, 3315889/1048576]]]], [[3, 1, 8, 1, 5], [And(-2^(1/2) < v,
v < -1), u < -(v^2+2)^(1/2), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-11,
-11], [5, 5]]]], [[3, 3, 1, 2, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [0, 0], [-3, -3]]]], [[3, 3, 1, 2, 2], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-4, -4], [0, 0], [-2, -2]]]], [[3, 3,
1, 2, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x < -u^2+v^2-1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608
], [-4, -4], [0, 0], [0, 0]]]], [[3, 3, 1, 2, 4], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = 0, z = (-x)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-4, -4], [0, 0], [2, 2]]]], [[3, 3, 1, 2, 5], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2
+v^2-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [0, 0], [3, 3]]]],
[[3, 7, 7, 9, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 0), -x < y, z = z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -\
225185/1048576], [2, 2], [0, 0]]]], [[3, 9, 3, 1, 1], [And(-2^(1/2) < v,v < -1
), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u
^2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-2, -2], [-3, -3]]]],
[[3, 9, 3, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1
)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-2, -2], [-8098975/4194304, -16197949/8388608]]]]
, [[3, 9, 3, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2
-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [-1812519/1048576, -1812519/1048576], [-2, -2], [-5/16777216, -5/16777216]
]]], [[3, 9, 3, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (
v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-2, -2], [2024743/1048576, 253093/131072]]]], [[3
, 9, 3, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(
1/2)), And(u^2-v^2-1 < x,x < -1), y < u^2-v^2-x-1, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-2, -2], [3, 3]]]], [[3, 17, 11, 1, 1], [And(-2^(
1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z < -(-x
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8,
8], [-18, -18], [-5, -5]]]], [[3, 17, 11, 1, 2], [And(-2^(1/2) < v,v < -1), (v
^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [-18, -\
18], [-3315889/1048576, -207243/65536]]]], [[3, 17, 11, 1, 3], [And(-2^(1/2) <
v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [3, 3], [8, 8], [-18, -18], [0, 0]]]], [[3, 17, 11, 1, 4], [And(-2^(
1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = (-x-
y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8,
8], [-18, -18], [207243/65536, 3315889/1048576]]]], [[3, 17, 11, 1, 5], [And(-
2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y
)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
8, 8], [-18, -18], [5, 5]]]], [[4, 2, 1, 9, 1], [v = -1, u = -3^(1/2), x < -3,
1-x < y, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-4, -4], [6, 6], [0, 0]]]], [[4, 6, 6, 3, 1], [v = -1, u = -1, x =
1, And(-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1]
, [1, 1], [-3/2, -3/2], [-2, -2]]]], [[4, 6, 6, 3, 2], [v = -1, u = -1, x = 1,
And(-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [
1, 1], [-3/2, -3/2], [-1482911/2097152, -741455/1048576]]]], [[4, 6, 6, 3, 3],
[v = -1, u = -1, x = 1, And(-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(
1/2))], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3/2, -3/2], [0, 0]]]],
[[4, 6, 6, 3, 4], [v = -1, u = -1, x = 1, And(-2 < y,y < -1), z = (-y-1)^(1/2)
], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3/2, -3/2], [741455/1048576,
46341/65536]]]], [[4, 6, 6, 3, 5], [v = -1, u = -1, x = 1, And(-2 < y,y < -1),
(-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3/2, -3/2],
[2, 2]]]], [[4, 8, 1, 6, 1], [v = -1, u = 0, x < -2, y = -x, z < 0], [
regular_chain, [[-1, -1], [0, 0], [-3, -3], [3, 3], [-1, -1]]]], [[4, 8, 1, 6,
2], [v = -1, u = 0, x < -2, y = -x, z = 0], [regular_chain, [[-1, -1], [0, 0],
[-3, -3], [3, 3], [0, 0]]]], [[4, 8, 1, 6, 3], [v = -1, u = 0, x < -2, y = -x,
0 < z], [regular_chain, [[-1, -1], [0, 0], [-3, -3], [3, 3], [1, 1]]]], [[4, 
14, 3, 7, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(-x < y,y < 1-x), z
= z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [
5/2, 5/2], [0, 0]]]], [[4, 15, 7, 8, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1
), y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [13/2,
13/2], [0, 0]]]], [[5, 4, 8, 4, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x
= 1, y = -1, z < 0], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/
1048576], [1, 1], [-1, -1], [-1, -1]]]], [[5, 4, 8, 4, 2], [And(-1 < v,v < 0),
u = -(v^2+1)^(1/2), x = 1, y = -1, z = 0], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-1, -1], [0, 0]]]], [[5, 4, 8, 4, 3
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, y = -1, 0 < z], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1], [-1,
-1], [1, 1]]]], [[5, 6, 1, 7, 1], [And(-1 < v,v < 0), u = v, x < -1, -x < y, z
= z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-2, -2], [3, 3], [0, 0]]]]
, [[5, 9, 8, 4, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0,
y = u^2-v^2-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [-624419/1048576, -1248837/2097152]
, [-2, -2]]]], [[5, 9, 8, 4, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1
/2)), x = 0, y = u^2-v^2-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-624419/1048576, -1248837/
2097152], [-1618333/2097152, -3236665/4194304]]]], [[5, 9, 8, 4, 3], [And(-1 <
v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, And(-(-u^2+v^2+
1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [0, 0], [-624419/1048576, -1248837/2097152], [-1/
8388608, -1/8388608]]]], [[5, 9, 8, 4, 4], [And(-1 < v,v < 0), And(-v < u,u <
(v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-624419/1048576, -\
1248837/2097152], [404583/524288, 809167/1048576]]]], [[5, 9, 8, 4, 5], [And(-\
1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = u^2-v^2-1, (-u^2+v^2+1
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152
], [0, 0], [-624419/1048576, -1248837/2097152], [2, 2]]]], [[5, 11, 3, 5, 1],
[And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2
], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [
1815885/2097152, 1815885/2097152], [-2, -2]]]], [[5, 11, 3, 5, 2], [And(-1 < v
,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [1815885/2097152
, 1815885/2097152], [-7805831/8388608, -3902915/4194304]]]], [[5, 11, 3, 5, 3]
, [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1
< x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [-3/8388608, -\
3/8388608]]]], [[5, 11, 3, 5, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1
/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885
/1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [60983/65536,
975729/1048576]]]], [[5, 11, 3, 5, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-\
1815885/1048576, -1815885/1048576], [1815885/2097152, 1815885/2097152], [2, 2]
]]], [[6, 2, 2, 3, 1], [v = 0, u = -2^(1/2), x = -3, And(0 < y,y < 3), z < -(3
-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3,
-3], [3/2, 3/2], [-3, -3]]]], [[6, 2, 2, 3, 2], [v = 0, u = -2^(1/2), x = -3,
And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/
524288]]]], [[6, 2, 2, 3, 3], [v = 0, u = -2^(1/2), x = -3, And(0 < y,y < 3),
And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-3, -3], [3/2, 3/2], [0, 0]]]], [[6, 2, 2, 3, 4], [
v = 0, u = -2^(1/2), x = -3, And(0 < y,y < 3), z = (3-y)^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [3/2, 3/
2], [642119/524288, 1284239/1048576]]]], [[6, 2, 2, 3, 5], [v = 0, u = -2^(1/2
), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-3, -3], [3/2, 3/2], [3, 3]]]], [[6, 3, 6,
4, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, y = 0, z < 0], [regular_chain,
[[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[
6, 3, 6, 4, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, y = 0, z = 0], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0],
[0, 0]]]], [[6, 3, 6, 4, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, y = 0, 0
< z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [
0, 0], [1, 1]]]], [[6, 9, 8, 5, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1,
And(-u^2+1 < y,y < 0), z = z], [regular_chain, [[0, 0], [1265743/1048576, 
1265743/1048576], [239655/524288, 479311/1048576], [-239655/1048576, -239655/
1048576], [0, 0]]]], [[6, 11, 1, 6, 1], [v = 0, 2^(1/2) < u, x < -u^2-1, y = -
x, z < 0], [regular_chain, [[0, 0], [3, 3], [-11, -11], [11, 11], [-1, -1]]]],
[[6, 11, 1, 6, 2], [v = 0, 2^(1/2) < u, x < -u^2-1, y = -x, z = 0], [
regular_chain, [[0, 0], [3, 3], [-11, -11], [11, 11], [0, 0]]]], [[6, 11, 1, 6
, 3], [v = 0, 2^(1/2) < u, x < -u^2-1, y = -x, 0 < z], [regular_chain, [[0, 0]
, [3, 3], [-11, -11], [11, 11], [1, 1]]]], [[7, 3, 11, 6, 1], [And(0 < v,v < 1
), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z],
[regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-\
805555/524288, -3222219/2097152], [0, 0]]]], [[7, 5, 6, 5, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1),
z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/1048576, 312209
/1048576], [-2, -2]]]], [[7, 5, 6, 5, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2
) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [312209/1048576, 312209/1048576], [-1144335
/2097152, -572167/1048576]]]], [[7, 5, 6, 5, 3], [And(0 < v,v < 1), And(-(v^2+
1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), And(-(-u^2+v^2
-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [
312209/1048576, 312209/1048576], [0, 0]]]], [[7, 5, 6, 5, 4], [And(0 < v,v < 1
), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z
= (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/1048576, 312209
/1048576], [572167/1048576, 71521/131072]]]], [[7, 5, 6, 5, 5], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1),
(-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/1048576, 312209
/1048576], [2, 2]]]], [[8, 1, 5, 1, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0
), y < -u^2-x, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1/2, -\
1/2], [-10, -10], [-5, -5]]]], [[8, 1, 5, 1, 2], [v = 1, u < -3^(1/2), And(-1
< x,x < 0), y < -u^2-x, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3],
[-1/2, -1/2], [-10, -10], [-3397775/1048576, -1698887/524288]]]], [[8, 1, 5, 1
, 3], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), y < -u^2-x, And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [-10, -\
10], [0, 0]]]], [[8, 1, 5, 1, 4], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), y <
-u^2-x, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [-\
10, -10], [1698887/524288, 3397775/1048576]]]], [[8, 1, 5, 1, 5], [v = 1, u <
-3^(1/2), And(-1 < x,x < 0), y < -u^2-x, (-x-y)^(1/2) < z], [regular_chain, [[
1, 1], [-3, -3], [-1/2, -1/2], [-10, -10], [5, 5]]]], [[8, 2, 7, 6, 1], [v = 1
, u = -3^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [0, 0], [0, 0]]]], [[8, 7, 4,
9, 1], [v = 1, And(-1 < u,u < 0), x = -1, 1 < y, z = z], [regular_chain, [[1,
1], [-1/2, -1/2], [-1, -1], [2, 2], [0, 0]]]], [[8, 8, 9, 3, 1], [v = 1, u = 0
, 1 < x, And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0
, 0], [2, 2], [-3, -3], [-2, -2]]]], [[8, 8, 9, 3, 2], [v = 1, u = 0, 1 < x, 
And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [2,
2], [-3, -3], [-1, -1]]]], [[8, 8, 9, 3, 3], [v = 1, u = 0, 1 < x, And(-x-2 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[0, 0], [2, 2], [-3, -3], [0, 0]]]], [[8, 8, 9, 3, 4], [v = 1, u = 0, 1 < x, 
And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [0, 0], [2,
2], [-3, -3], [1, 1]]]], [[8, 8, 9, 3, 5], [v = 1, u = 0, 1 < x, And(-x-2 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [0, 0], [2, 2], [-3, -3],
[2, 2]]]], [[8, 14, 8, 7, 1], [v = 1, u = 3^(1/2), x = 1, 0 < y, z = z], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [1, 1], [1, 1], [0,
0]]]], [[9, 1, 2, 3, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2
+v^2-1, And(0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [8957873/2097152, 8957873/2097152], [-4, -4]]]], [[9, 1, 2, 3, 2], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-
v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [8957873/2097152, 
8957873/2097152], [-2167143/1048576, -1083571/524288]]]], [[9, 1, 2, 3, 3], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-
v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain
, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [8957873/2097152, 8957873/2097152], [0, 0]]]], [[9, 1, 2, 3, 4], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-
v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [8957873/2097152, 
8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[9, 1, 2, 3, 5], [And
(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2
+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [8957873/2097152, 
8957873/2097152], [4, 4]]]], [[9, 5, 5, 1, 1], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-
x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-2, -2], [-\
3, -3]]]], [[9, 5, 5, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u
< -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-2, -2], [-3487985/
2097152, -217999/131072]]]], [[9, 5, 5, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [-2, -2], [0, 0]]]], [[9, 5, 5, 1, 4], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-2, -2], [
217999/131072, 1743993/1048576]]]], [[9, 5, 5, 1, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (
-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-2,
-2], [3, 3]]]], [[9, 7, 2, 2, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^
2-1)^(1/2)), x = u^2-v^2-1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [0, 0], [-3, -3]]]], [[9, 7, 2, 2, 2], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0,
z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [0
, 0], [-1314069/1048576, -328517/262144]]]], [[9, 7, 2, 2, 3], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2
+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -\
1646781/1048576], [0, 0], [0, 0]]]], [[9, 7, 2, 2, 4], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [0, 0], [328517/262144
, 1314069/1048576]]]], [[9, 7, 2, 2, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [0, 0], [3, 3]]]], [[9
, 9, 11, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1
/2)), 1 < x, y = 0, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [0, 0], [2, 2], [0, 0], [0, 0]]]], [[9, 11, 7, 4, 1], [And(1 < v,v < 2^(1/2
)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-112593
/524288, -225185/1048576], [-2, -2]]]], [[9, 11, 7, 4, 2], [And(1 < v,v < 2^(1
/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-\
1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-\
112593/524288, -225185/1048576], [-1374407/2097152, -687203/1048576]]]], [[9,
11, 7, 4, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+
v^2-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)
^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576
, 987341/1048576], [-450371/2097152, -450371/2097152], [-112593/524288, -\
225185/1048576], [0, 0]]]], [[9, 11, 7, 4, 4], [And(1 < v,v < 2^(1/2)), And((v
^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/
1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-112593/524288,
-225185/1048576], [687203/1048576, 171801/262144]]]], [[9, 11, 7, 4, 5], [And(
1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y
= -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-112593/524288, -225185/1048576], [2, 2]]]], [[9, 16, 2, 5, 1], [
And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, And(3 < y,y < 4), z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-3, -3], [7/2, 7/2], [0, 0]]]], [[9, 17, 7, 3, 1], [And(1 < v,v < 2
^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z
< -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3],
[1/2, 1/2], [-10006449/2097152, -10006449/2097152], [-4, -4]]]], [[9, 17, 7, 3
, 2], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v
^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152],
[-2167143/1048576, -1083571/524288]]]], [[9, 17, 7, 3, 3], [And(1 < v,v < 2^(1
/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), And(-
(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [3, 3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152],
[0, 0]]]], [[9, 17, 7, 3, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(
0 < x,x < 1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-10006449/2097152, -\
10006449/2097152], [1083571/524288, 2167143/1048576]]]], [[9, 17, 7, 3, 5], [
And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), And(-u^2+v^2-x-1
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [1/2, 1/2], [-10006449/2097152, -10006449/2097152], [4, 4]]]
], [[10, 5, 11, 9, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, 0 < y, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [2, 2], [1, 1], [0, 0]]]], [[10, 7, 9, 3, 1], [v = 2^(1/2),
And(-v < u,u < -1), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608]
, [-2, -2]]]], [[10, 7, 9, 3, 2], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,
x < 1), And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1
/2], [-12582911/8388608, -12582911/8388608], [-16777215/16777216, -\
8796092497919/8796093022208]]]], [[10, 7, 9, 3, 3], [v = 2^(1/2), And(-v < u,u
< -1), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1265743/1048576, -1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/
8388608], [-7864319/17592186044416, -7864319/17592186044416]]]], [[10, 7, 9, 3
, 4], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), And(u^2-x-3 < y,y <
-u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-12582911/8388608, -\
12582911/8388608], [1048575/1048576, 1]]]], [[10, 7, 9, 3, 5], [v = 2^(1/2), 
And(-v < u,u < -1), And(0 < x,x < 1), And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1
/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576
, -1265743/1048576], [1/2, 1/2], [-12582911/8388608, -12582911/8388608], [2, 2
]]]], [[10, 11, 11, 8, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = 0, z = z
], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [0,
0], [0, 0]]]], [[10, 13, 7, 4, 1], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1
< x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -\
239655/1048576], [-29957/131072, -239655/1048576], [-2, -2]]]], [[10, 13, 7, 4
, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = -u^2-x+1, z =
-(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072,
-239655/1048576], [-1417877/2097152, -354469/524288]]]], [[10, 13, 7, 4, 3], [
v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = -u^2-x+1, And(-(u^2-\
1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/
1048576], [-29957/131072, -239655/1048576], [0, 0]]]], [[10, 13, 7, 4, 4], [v
= 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^
(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072, -239655/
1048576], [354469/524288, 708939/1048576]]]], [[10, 13, 7, 4, 5], [v = 2^(1/2)
, And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-29957/131072, -239655/1048576]
, [2, 2]]]], [[11, 3, 1, 9, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2
+1)^(1/2)), x < -u^2+v^2-1, u^2-v^2-x-1 < y, z = z], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [-4, -4], [6, 6], [0, 0]]]], [[11, 4, 5,
4, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(
1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2
], [0, 0], [-2, -2]]]], [[11, 4, 5, 4, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), 
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-3315889
/1048576, -207243/65536], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/
1048576]]]], [[11, 4, 5, 4, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 4, 5,
4, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1
/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2]
, [0, 0], [741455/1048576, 46341/65536]]]], [[11, 4, 5, 4, 5], [2^(1/2) < v, u
= -(v^2+1)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [
[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [0, 0], [2, 2]]]], [[
11, 9, 3, 6, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And
(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [1839381/
1048576, 919691/524288], [-1, -1]]]], [[11, 9, 3, 6, 2], [2^(1/2) < v, And(-(v
^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -x, z = 0]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [1839381/1048576, 919691/524288], [0, 0]]]], [[11,
9, 3, 6, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(u^2
-v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-7357527/4194304, -7357527/4194304], [1839381/
1048576, 919691/524288], [1, 1]]]], [[11, 10, 5, 9, 1], [2^(1/2) < v, u = -(v^
2-2)^(1/2), And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [-1/2, -1/2], [3, 3], [0, 0]]]], [[11, 16,
2, 3, 1], [2^(1/2) < v, u = v, x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 16, 2
, 3, 2], [2^(1/2) < v, u = v, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[3, 3], [3, 3], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[11, 16, 2, 3, 3], [2^(1/2) < v, u = v, x = -1, And(0 < y
,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[3, 3], [3,
3], [-1, -1], [1/2, 1/2], [0, 0]]]], [[11, 16, 2, 3, 4], [2^(1/2) < v, u = v,
x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[11, 16, 2, 3, 5], [2^
(1/2) < v, u = v, x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain,
[[3, 3], [3, 3], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 17, 10, 4, 1], [2^(1/2
) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z < -(-u^2+v^2+1)^(
1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-\
1579769/1048576, -3159537/2097152], [-2, -2]]]], [[11, 17, 10, 4, 2], [2^(1/2)
< v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/
2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-\
1579769/1048576, -3159537/2097152], [-373161/524288, -1492643/2097152]]]], [[
11, 17, 10, 4, 3], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-
v^2-2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[3, 3], [403851/131072, 403851/131072], [1, 1], [-1579769/1048576, -3159537/
2097152], [-1/4194304, -1/4194304]]]], [[11, 17, 10, 4, 4], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-1579769/
1048576, -3159537/2097152], [746321/1048576, 373161/524288]]]], [[11, 17, 10,
4, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y = u^2-v^2-2, (-u^2
+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
1, 1], [-1579769/1048576, -3159537/2097152], [2, 2]]]], [[1, 2, 4, 1, 1], [v <
-2^(1/2), u = -(v^2+2)^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [-3,
-3], [-3, -3]]]], [[1, 2, 4, 1, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), x = -1,
y < -2, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1, -1], [-3, -3], [-2, -2]]]], [[1, 2, 4, 1, 3], [v < -2^(
1/2), u = -(v^2+2)^(1/2), x = -1, y < -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2)
)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-1, -1],
[-3, -3], [0, 0]]]], [[1, 2, 4, 1, 4], [v < -2^(1/2), u = -(v^2+2)^(1/2), x =
-1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[1, 2, 4, 1, 5], [v < -2^(1/
2), u = -(v^2+2)^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-1, -1], [-3, -3], [3, 3]]]], [[1
, 3, 8, 2, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-\
200527383/67108864, -100263691/33554432], [-3, -3]]]], [[1, 3, 8, 2, 2], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^
2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-3396811/1048576
, -3396811/1048576], [129511/262144, 518045/1048576], [-200527383/67108864, -\
100263691/33554432], [-1655969/1048576, -3311937/2097152]]]], [[1, 3, 8, 2, 3]
, [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y
= -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [-200527383/67108864, -100263691/33554432], [-1/4194304, -1
/4194304]]]], [[1, 3, 8, 2, 4], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [-200527383/67108864, -100263691/33554432], [51749/32768, 
1655969/1048576]]]], [[1, 3, 8, 2, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/262144
, 518045/1048576], [-200527383/67108864, -100263691/33554432], [3, 3]]]], [[1,
8, 4, 4, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y = 0, z < -1], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [0,
0], [-2, -2]]]], [[1, 8, 4, 4, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1,
y = 0, z = -1], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/
4194304], [-1, -1], [0, 0], [-1, -1]]]], [[1, 8, 4, 4, 3], [v < -2^(1/2), u =
-(v^2-1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [-1, -1], [0, 0], [0, 0]]]], [[1, 8, 4,
4, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y = 0, z = 1], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [0,
0], [1, 1]]]], [[1, 8, 4, 4, 5], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y
= 0, 1 < z], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304],
[-1, -1], [0, 0], [2, 2]]]], [[1, 9, 9, 8, 1], [v < -2^(1/2), And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = 0, z = z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [0, 0], [0, 0]]]], [[1, 15, 6, 2, 1], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v^2
+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-\
129143/262144, -516571/1048576], [-1064009/1048576, -133001/131072], [-3, -3]]
]], [[1, 15, 6, 2, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+
v^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-129143/262144, -516571/1048576], [-\
1064009/1048576, -133001/131072], [-1287385/1048576, -160923/131072]]]], [[1,
15, 6, 2, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y
= 2*u^2-2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-129143/262144,
-516571/1048576], [-1064009/1048576, -133001/131072], [0, 0]]]], [[1, 15, 6, 2
, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-\
2*v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-129143/262144, -516571/1048576], [-1064009/1048576, -\
133001/131072], [160923/131072, 1287385/1048576]]]], [[1, 15, 6, 2, 5], [v < -
2^(1/2), And((v^2-1)^(1/2) < u,u < -v), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2
+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-129143/262144, -516571/1048576], [-1064009/1048576, -133001/131072
], [3, 3]]]], [[1, 17, 3, 1, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-2, -2], [-3, -3]]]], [[1, 17, 3, 1, 2], [v < -2^(1/2), And
(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [-2, -2], [-3778779/2097152, -7557557/
4194304]]]], [[1, 17, 3, 1, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535
/2097152, -2614535/2097152], [-2, -2], [-1/8388608, -1/8388608]]]], [[1, 17, 3
, 1, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x <
-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [
1889389/1048576, 944695/524288]]]], [[1, 17, 3, 1, 5], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/
2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [-2, -2], [3, 3]]]], [[1, 21, 5, 8, 1], [v < -2^(1
/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [31/2, 31/2], [0, 0]]]], [[2,
1, 7, 9, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), u^2-x-3 < y, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1/2, 1/2], [7,
7], [0, 0]]]], [[2, 10, 5, 1, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y <
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288],
[0, 0], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[2, 10, 5, 1, 2], [v = -2^(1/2),
u = 0, And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-4, -4], [-1112183/
524288, -2224365/1048576]]]], [[2, 10, 5, 1, 3], [v = -2^(1/2), u = 0, And(-1
< x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain
, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-4, -4], [0, 0]]
]], [[2, 10, 5, 1, 4], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y < -x-3, z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-\
1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[2, 10, 5, 1, 5],
[v = -2^(1/2), u = 0, And(-1 < x,x < 0), y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-4,
-4], [4, 4]]]], [[2, 11, 9, 4, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1
< x,x < 1), y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288
], [1/2, 1/2], [7/8, 7/8], [-7/8, -7/8], [-1, -1]]]], [[2, 11, 9, 4, 2], [v =
-2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-\
7/8, -7/8], [0, 0]]]], [[2, 11, 9, 4, 3], [v = -2^(1/2), And(0 < u,u < 1), And
(-u^2+1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [7/8, 7/8], [-7/8, -7/8], [1, 1]]]], [[2, 16, 5, 6
, 1], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[2, 16, 5, 6, 2], [v = -2^(1
/2), u = 3^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2, -1/
2], [1/2, 1/2], [0, 0]]]], [[2, 16, 5, 6, 3], [v = -2^(1/2), u = 3^(1/2), And(
-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]]
, [[2, 17, 10, 8, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), x = 1, y = 0, z =
z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 
3913339/2097152], [1, 1], [0, 0], [0, 0]]]], [[3, 4, 4, 1, 1], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[3, 4, 4, 1, 2], [And(-2^(
1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]],
[[3, 4, 4, 1, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y < -\
1, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-2, -2], [-1
/4194304, -1/4194304]]]], [[3, 4, 4, 1, 4], [And(-2^(1/2) < v,v < -1), u = -(v
^2+1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-2,
-2], [908093/524288, 1816187/1048576]]]], [[3, 4, 4, 1, 5], [And(-2^(1/2) < v,
v < -1), u = -(v^2+1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1
, -1], [-2, -2], [3, 3]]]], [[3, 5, 9, 5, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [-1606915/2097152, -1606915/
2097152], [-2, -2]]]], [[3, 5, 9, 5, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-1606915/2097152, -1606915/2097152],
[-270523/524288, -1082091/2097152]]]], [[3, 5, 9, 5, 3], [And(-2^(1/2) < v,v <
-1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2],
[-1606915/2097152, -1606915/2097152], [-1/4194304, -1/4194304]]]], [[3, 5, 9,
5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x <
1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2],
[-1606915/2097152, -1606915/2097152], [541045/1048576, 270523/524288]]]], [[3,
5, 9, 5, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 <
x,x < 1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2
, 1/2], [-1606915/2097152, -1606915/2097152], [2, 2]]]], [[3, 10, 5, 7, 1], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), -x < y, z = z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1/2, -1/2], [2, 2], [0, 0]]]], [[3, 11, 10, 9, 1], [And(-2^
(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), x = 1, 0 < y, z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [1, 1], [1, 1], [0, 0]]]], [[3, 15, 4, 7, 1], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(1 < y,y < u^2-v^2),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288,
898327/524288], [-1, -1], [2599117/2097152, 2599117/2097152], [0, 0]]]], [[3,
16, 6, 6, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y = 1, z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [0, 0], [1, 1], [0, 0]]]], [[4, 3, 8, 1, 1], [v = -1, And(-3
^(1/2) < u,u < -2^(1/2)), x = u^2-2, y < -2*u^2+2, z < -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288
, 497807/1048576], [-4, -4], [-3, -3]]]], [[4, 3, 8, 1, 2], [v = -1, And(-3^(1
/2) < u,u < -2^(1/2)), x = u^2-2, y < -2*u^2+2, z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288
, 497807/1048576], [-4, -4], [-15750167/8388608, -7875083/4194304]]]], [[4, 3,
8, 1, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y < -2*u^2+2, 
And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [
-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576], [-4, -4]
, [-3/8388608, -3/8388608]]]], [[4, 3, 8, 1, 4], [v = -1, And(-3^(1/2) < u,u <
-2^(1/2)), x = u^2-2, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [regular_chain, [[-\
1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288, 497807/1048576],
[-4, -4], [984385/524288, 1968771/1048576]]]], [[4, 3, 8, 1, 5], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), x = u^2-2, y < -2*u^2+2, (-u^2-y+2)^(1/2) < z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/524288
, 497807/1048576], [-4, -4], [3, 3]]]], [[4, 5, 3, 2, 1], [v = -1, And(-2^(1/2
) < u,u < -1), And(-u^2 < x,x < -1), y = -u^2-x, z < u], [regular_chain, [[-1,
-1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576
], [-29957/131072, -239655/1048576], [-3, -3]]]], [[4, 5, 3, 2, 2], [v = -1, 
And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = -u^2-x, z = u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [-1265743/
1048576, -1265743/1048576]]]], [[4, 5, 3, 2, 3], [v = -1, And(-2^(1/2) < u,u <
-1), And(-u^2 < x,x < -1), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[-\
1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-29957/131072, -239655/1048576], [0, 0]]]], [[4, 5, 3, 2, 4], [v =
-1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-29957/131072, -239655/1048576], [1265743/1048576
, 1265743/1048576]]]], [[4, 5, 3, 2, 5], [v = -1, And(-2^(1/2) < u,u < -1), 
And(-u^2 < x,x < -1), y = -u^2-x, -u < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-\
29957/131072, -239655/1048576], [3, 3]]]], [[4, 11, 6, 4, 1], [v = -1, And(1 <
u,u < 2^(1/2)), x = u^2-2, y = 0, z < -(-u^2+2)^(1/2)], [regular_chain, [[-1,
-1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576],
[0, 0], [-2, -2]]]], [[4, 11, 6, 4, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = u
^2-2, y = 0, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576
, 1265743/1048576], [-1138531/2097152, -569265/1048576], [0, 0], [-772605/
1048576, -1545209/2097152]]]], [[4, 11, 6, 4, 3], [v = -1, And(1 < u,u < 2^(1/
2)), x = u^2-2, y = 0, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[4, 11, 6, 4,
4], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = 0, z = (-u^2+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [0, 0], [193151/262144, 772605/1048576]]]], [[4, 11
, 6, 4, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = 0, (-u^2+2)^(1/2)
< z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531
/2097152, -569265/1048576], [0, 0], [2, 2]]]], [[4, 13, 1, 5, 1], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z < -(-x-y)^(1/2)
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [
5793651/2097152, 5793651/2097152], [-3, -3]]]], [[4, 13, 1, 5, 2], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), z = -(-x-y)^(1
/2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4],
[5793651/2097152, 5793651/2097152], [-1166407/1048576, -583203/524288]]]], [[4
, 13, 1, 5, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [-4, -4], [5793651/2097152, 5793651/
2097152], [0, 0]]]], [[4, 13, 1, 5, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, And(-u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1]
, [3299097/2097152, 3299097/2097152], [-4, -4], [5793651/2097152, 5793651/
2097152], [583203/524288, 1166407/1048576]]]], [[4, 13, 1, 5, 5], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(-u^2-x < y,y < -x), (-x-y)^(1/2) < z]
, [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [
5793651/2097152, 5793651/2097152], [3, 3]]]], [[5, 1, 11, 7, 1], [And(-1 < v,v
< 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-5/8, -5/8], [0, 0]]]], [[5,
3, 4, 8, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -1, y = u^2-v^2, z = z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1, -1], [767309/524288, 1534619/1048576], [0, 0]]]], [[5, 12
, 5, 3, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1
/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[5, 12, 5, 3, 2], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-5/4, -5/4], [-10837/
8192, -1387135/1048576]]]], [[5, 12, 5, 3, 3], [And(-1 < v,v < 0), u = (v^2+2)
^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-
y)^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-5/4, -5
/4], [0, 0]]]], [[5, 12, 5, 3, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(
-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/8192]]]
], [[5, 12, 5, 3, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0)
, And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2,
3/2], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[5, 13, 9, 4, 1], [And(-1 < v,v
< 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = -x, z < 0], [
regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [-35/8, -35/8], [-1, -1]]]
], [[5, 13, 9, 4, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2
-v^2-1), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8],
[-35/8, -35/8], [0, 0]]]], [[5, 13, 9, 4, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2
) < u, And(1 < x,x < u^2-v^2-1), y = -x, 0 < z], [regular_chain, [[-1/2, -1/2]
, [3, 3], [35/8, 35/8], [-35/8, -35/8], [1, 1]]]], [[6, 5, 1, 6, 1], [v = 0, 
And(-1 < u,u < 0), x < -u^2-1, y = u^2-x-1, z < -(-u^2+1)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [9/4, 9/4], [-2, -2]]]], [[6,
5, 1, 6, 2], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = u^2-x-1, z = -(-u^2+1)
^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [9/4, 9/4], [-\
1816187/2097152, -3632373/4194304]]]], [[6, 5, 1, 6, 3], [v = 0, And(-1 < u,u
< 0), x < -u^2-1, y = u^2-x-1, And(-(-u^2+1)^(1/2) < z,z < (-u^2+1)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [9/4, 9/4], [-1/8388608, -1/
8388608]]]], [[6, 5, 1, 6, 4], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = u^2-
x-1, z = (-u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [9/
4, 9/4], [908093/1048576, 454047/524288]]]], [[6, 5, 1, 6, 5], [v = 0, And(-1
< u,u < 0), x < -u^2-1, y = u^2-x-1, (-u^2+1)^(1/2) < z], [regular_chain, [[0,
0], [-1/2, -1/2], [-3, -3], [9/4, 9/4], [2, 2]]]], [[6, 6, 4, 4, 1], [v = 0, u
= 0, x = 0, y = 0, z < 0], [regular_chain, [[0, 0], [0, 0], [0, 0], [0, 0], [-\
1, -1]]]], [[6, 6, 4, 4, 2], [v = 0, u = 0, x = 0, y = 0, z = 0], [
regular_chain, [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]]], [[6, 6, 4, 4, 3], [
v = 0, u = 0, x = 0, y = 0, 0 < z], [regular_chain, [[0, 0], [0, 0], [0, 0], [
0, 0], [1, 1]]]], [[7, 1, 3, 6, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And
(-u^2+v^2-1 < x,x < -1), y = -x, z < 0], [regular_chain, [[1/2, 1/2], [-3, -3]
, [-43/8, -43/8], [43/8, 43/8], [-1, -1]]]], [[7, 1, 3, 6, 2], [And(0 < v,v <
1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [43/8, 43/8], [0, 0]]]],
[[7, 1, 3, 6, 3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8],
[43/8, 43/8], [1, 1]]]], [[7, 2, 5, 5, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[7, 2, 5, 5
, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/
2], [1/4, 1/4], [-1/2, -1/2]]]], [[7, 2, 5, 5, 3], [And(0 < v,v < 1), u = -(v^
2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [1/4, 1
/4], [0, 0]]]], [[7, 2, 5, 5, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2
], [-3/2, -3/2], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[7, 2, 5, 5, 5], [
And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-
x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [1/4
, 1/4], [2, 2]]]], [[7, 7, 3, 5, 1], [And(0 < v,v < 1), And(-v < u,u < v), And
(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [-2, -2]]]], [
[7, 7, 3, 5, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -\
1), And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/
2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [-8122235/8388608, -16244469/16777216]
]]], [[7, 7, 3, 5, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x
,x < -1), And(0 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [-5/
33554432, -5/33554432]]]], [[7, 7, 3, 5, 4], [And(0 < v,v < 1), And(-v < u,u <
v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [1015279/
1048576, 63455/65536]]]], [[7, 7, 3, 5, 5], [And(0 < v,v < 1), And(-v < u,u <
v), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/16, 3/16], [2, 2]]]], [[
7, 8, 6, 7, 1], [And(0 < v,v < 1), u = v, x = 1, 0 < y, z = z], [regular_chain
, [[1/2, 1/2], [1/2, 1/2], [1, 1], [1, 1], [0, 0]]]], [[7, 11, 10, 2, 1], [And
(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151
/262144], [1, 1], [-3631771/1048576, -1815885/524288], [-3, -3]]]], [[7, 11, 
10, 2, 2], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1,
y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [-3291611
/2097152, -1645805/1048576]]]], [[7, 11, 10, 2, 3], [And(0 < v,v < 1), And((v^
2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/
2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [0, 0]]]], [[7, 
11, 10, 2, 4], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [
343151/262144, 343151/262144], [1, 1], [-3631771/1048576, -1815885/524288], [
1645805/1048576, 822903/524288]]]], [[7, 11, 10, 2, 5], [And(0 < v,v < 1), And
((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [
-3631771/1048576, -1815885/524288], [3, 3]]]], [[7, 13, 3, 7, 1], [And(0 < v,v
< 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(-x < y,y < u^2-v^2-x-\
1), z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [37/4, 37/4],
[0, 0]]]], [[8, 4, 2, 3, 1], [v = 1, u = -2^(1/2), x = -2, And(0 < y,y < 2), z
< -(2-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288],
[-2, -2], [1, 1], [-2, -2]]]], [[8, 4, 2, 3, 2], [v = 1, u = -2^(1/2), x = -2,
And(0 < y,y < 2), z = -(2-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-2, -2], [1, 1], [-1, -1]]]], [[8, 4, 2, 3, 3], [v
= 1, u = -2^(1/2), x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(1
/2))], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-2, -2],
[1, 1], [0, 0]]]], [[8, 4, 2, 3, 4], [v = 1, u = -2^(1/2), x = -2, And(0 < y,y
< 2), z = (2-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-2, -2], [1, 1], [1, 1]]]], [[8, 4, 2, 3, 5], [v = 1, u = -2^(1/2),
x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911
/1048576, -741455/524288], [-2, -2], [1, 1], [2, 2]]]], [[8, 5, 8, 6, 1], [v =
1, And(-2^(1/2) < u,u < -1), x = 0, y = 0, z < 0], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[8, 5, 8, 6,
2], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y = 0, z = 0], [regular_chain, [[
1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0], [0, 0]]]], [[8, 5
, 8, 6, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y = 0, 0 < z], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [0, 0],
[1, 1]]]], [[8, 11, 11, 8, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = 0, z
= z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [0,
0], [0, 0]]]], [[8, 13, 7, 4, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0
< x,x < u^2-2), y = -x, z < 0], [regular_chain, [[1, 1], [3299097/2097152, 
3299097/2097152], [497805/2097152, 497805/2097152], [-248903/1048576, -124451/
524288], [-1, -1]]]], [[8, 13, 7, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
And(0 < x,x < u^2-2), y = -x, z = 0], [regular_chain, [[1, 1], [3299097/
2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-248903/1048576,
-124451/524288], [0, 0]]]], [[8, 13, 7, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^(
1/2)), And(0 < x,x < u^2-2), y = -x, 0 < z], [regular_chain, [[1, 1], [3299097
/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-248903/1048576
, -124451/524288], [1, 1]]]], [[9, 2, 5, 7, 1], [And(1 < v,v < 2^(1/2)), u = -
(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1
/2, -1/2], [1, 1], [0, 0]]]], [[9, 3, 10, 5, 1], [And(1 < v,v < 2^(1/2)), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-1 < y,y < u^2-v^2-2), z =
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [-3190373/4194304, -3190373/4194304], [0, 0]]]], [[
9, 13, 3, 7, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u
^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [2029047/2097152, 2029047/
2097152], [-2, -2]]]], [[9, 13, 3, 7, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [2029047/
2097152, 2029047/2097152], [-1082093/2097152, -270523/524288]]]], [[9, 13, 3,
7, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-2587387/2097152, -2587387/2097152], [2029047/2097152, 
2029047/2097152], [0, 0]]]], [[9, 13, 3, 7, 4], [And(1 < v,v < 2^(1/2)), And(v
< u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [
2029047/2097152, 2029047/2097152], [270523/524288, 541047/1048576]]]], [[9, 13
, 3, 7, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^
2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [2029047/2097152, 2029047/
2097152], [2, 2]]]], [[9, 14, 7, 6, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(
1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [0, 0], [0, 0]
]]], [[10, 1, 8, 6, 1], [v = 2^(1/2), u < -2, x = 1, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [1, 1], [0, 0], [0
, 0]]]], [[10, 3, 2, 2, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1
, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [
0, 0], [-3, -3]]]], [[10, 3, 2, 2, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)),
x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-3913339/2097152, -3913339/2097152], [-650655/262144, -\
2602619/1048576], [0, 0], [-825991/524288, -3303963/2097152]]]], [[10, 3, 2, 2
, 3], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = 0, And(-(u^2-1)^
(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/
1048576], [0, 0], [-1/4194304, -1/4194304]]]], [[10, 3, 2, 2, 4], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = 0, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-650655/262144, -2602619/1048576], [0, 0], [1651981/1048576, 825991
/524288]]]], [[10, 3, 2, 2, 5], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u
^2+1, y = 0, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/
1048576], [0, 0], [3, 3]]]], [[10, 9, 3, 8, 1], [v = 2^(1/2), And(-1 < u,u < 0
), And(u^2-3 < x,x < -1), y = -u^2-x+1, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-15/8, -15/8], [21/8, 21/8], [0, 0]]]
], [[10, 10, 6, 2, 1], [v = 2^(1/2), u = 0, x = 0, y = -3, z < -3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-3, -3], [-\
3, -3]]]], [[10, 10, 6, 2, 2], [v = 2^(1/2), u = 0, x = 0, y = -3, z = -3^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-3, -3
], [-1816187/1048576, -3632373/2097152]]]], [[10, 10, 6, 2, 3], [v = 2^(1/2),
u = 0, x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]
]], [[10, 10, 6, 2, 4], [v = 2^(1/2), u = 0, x = 0, y = -3, z = 3^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-3, -3], [
908093/524288, 1816187/1048576]]]], [[10, 10, 6, 2, 5], [v = 2^(1/2), u = 0, x
= 0, y = -3, 3^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[0, 0], [0, 0], [-3, -3], [3, 3]]]], [[10, 15, 3, 5, 1], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), z < -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [186677/524288, 186677
/524288], [-2, -2]]]], [[10, 15, 3, 5, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)
), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [186677/524288, 186677/524288]
, [-1968771/2097152, -15750167/16777216]]]], [[10, 15, 3, 5, 3], [v = 2^(1/2),
And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(0 < y,y < u^2-x-3), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [186677/524288, 186677/524288], [-7/33554432, -7/33554432]]]], [[10,
15, 3, 5, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), 
And(0 < y,y < u^2-x-3), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [186677/524288, 186677/524288], [984385/1048576, 492193/
524288]]]], [[10, 15, 3, 5, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2
+1 < x,x < -1), And(0 < y,y < u^2-x-3), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957
/2097152, -2594957/2097152], [186677/524288, 186677/524288], [2, 2]]]], [[10,
16, 7, 4, 1], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[10, 16, 7, 4, 2], [v = 2^(1
/2), u = 3^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[741455/
524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[10, 16, 7, 4, 3], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x <
1), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [908093
/524288, 1816187/1048576], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 19, 6, 6
, 1], [v = 2^(1/2), 2 < u, x = 0, y = u^2-3, z = z], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [0, 0], [6, 6], [0, 0]]]], [[11, 1, 9, 2, 1]
, [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1
, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-25, -\
25], [-6, -6]]]], [[11, 1, 9, 2, 2], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 <
x,x < u^2-v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [
[3, 3], [-5, -5], [8, 8], [-25, -25], [-2161695/524288, -4323389/1048576]]]],
[[11, 1, 9, 2, 3], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1),
y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[3, 3], [-5, -5], [8, 8], [-25, -25], [0, 0]]]], [[11, 1, 9, 2
, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2
-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-25,
-25], [4323389/1048576, 2161695/524288]]]], [[11, 1, 9, 2, 5], [2^(1/2) < v, u
< -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-25, -25], [6, 6]]]], [[11
, 5, 11, 9, 1], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, 0 < y, z
= z], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [1, 1
], [0, 0]]]], [[11, 7, 9, 3, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
402653157/268435456, -402653157/268435456], [-2, -2]]]], [[11, 7, 9, 3, 2], [2
^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1
< y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [1/2, 1/2], [-402653157/268435456, -402653157/
268435456], [-536870885/536870912, -17592185159679/17592186044416]]]], [[11, 7
, 9, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), 
And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2],
[-402653157/268435456, -402653157/268435456], [-15892479/35184372088832, -\
15892479/35184372088832]]]], [[11, 7, 9, 3, 4], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(0 < x,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (
-x-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
1/2, 1/2], [-402653157/268435456, -402653157/268435456], [1048575/1048576, 1]]
]], [[11, 7, 9, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), And(0 < x
,x < 1), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-\
402653157/268435456, -402653157/268435456], [2, 2]]]], [[11, 13, 4, 9, 1], [2^
(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, -u^2+v^2 < y, z =
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [3, 3
], [0, 0]]]], [[11, 14, 9, 3, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(
-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144,
2965821/1048576], [2, 2], [-3, -3], [-2, -2]]]], [[11, 14, 9, 3, 2], [2^(1/2)
< v, u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [-3, -3], [-\
1, -1]]]], [[11, 14, 9, 3, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(-x-\
2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [741455/262144, 2965821/1048576], [2, 2], [-3, -3], [0, 0]]]], [[11, 14, 9
, 3, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, And(-x-2 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2],
[-3, -3], [1, 1]]]], [[11, 14, 9, 3, 5], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 <
x, And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [2, 2], [-3, -3], [2, 2]]]], [[11, 19, 6, 6, 1], [2^
(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = u^2-v^2-1, z =
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [
129511/262144, 518045/1048576], [0, 0]]]], [[11, 20, 9, 4, 1], [2^(1/2) < v, u
= (v^2+2)^(1/2), 1 < x, y = -x, z < 0], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [2, 2], [-2, -2], [-1, -1]]]], [[11, 20, 9, 4, 2], [
2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y = -x, z = 0], [regular_chain, [[3, 3]
, [3477733/1048576, 1738867/524288], [2, 2], [-2, -2], [0, 0]]]], [[11, 20, 9,
4, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y = -x, 0 < z], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [-2, -2], [1, 1]]]], [[1,
5, 3, 3, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,
x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3
, -3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152],
[-258691/2097152, -258691/2097152], [-3, -3]]]], [[1, 5, 3, 3, 2], [v < -2^(1/
2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-\
1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/2097152, -\
258691/2097152], [-1227355/1048576, -613677/524288]]]], [[1, 5, 3, 3, 3], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u^2+
v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/
2097152], [-258691/2097152, -258691/2097152], [0, 0]]]], [[1, 5, 3, 3, 4], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), And(-u^
2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/
2097152, -258691/2097152], [613677/524288, 1227355/1048576]]]], [[1, 5, 3, 3,
5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-258691
/2097152, -258691/2097152], [3, 3]]]], [[1, 6, 6, 5, 1], [v < -2^(1/2), u = v,
x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-3, -3], [-3, -3], [1, 1],
[-1/2, -1/2], [0, 0]]]], [[1, 11, 2, 7, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2)
< u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, -2*u^2+2*v^2 < y, z = z], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [19, 19], [0, 0]]]], [[1, 12, 4,
8, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), x = -1, y = 2, z = z], [regular_chain
, [[-3, -3], [2774271/1048576, 10837/4096], [-1, -1], [2, 2], [0, 0]]]], [[1,
18, 6, 1, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y < -2, z < -(-y)^(1/2)
], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [-3, -3
], [-3, -3]]]], [[1, 18, 6, 1, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y
< -2, z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[1, 18,
6, 1, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z
,z < (-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576],
[0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[1, 18, 6, 1, 4], [v < -2^(1/2
), u = (v^2+1)^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-3, -3
], [207243/65536, 3315889/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/
1048576]]]], [[1, 18, 6, 1, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y < -\
2, (-y)^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576]
, [0, 0], [-3, -3], [3, 3]]]], [[1, 19, 11, 1, 1], [v < -2^(1/2), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-6, -6]
, [-3, -3]]]], [[1, 19, 11, 1, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-6, -6], [-2, -2]]]], [[1
, 19, 11, 1, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-6, -6], [0, 0]]]], [[
1, 19, 11, 1, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 <
x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [2, 2], [-6, -6], [2, 2]]]], [[1, 19, 11, 1, 5], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y < -u^2+v^2-x-1,
(-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [2, 2], [-6, -6], [3, 3]]]], [[2, 3, 1, 1, 1], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), x < -u^2+1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -\
4], [-1, -1], [-4, -4]]]], [[2, 3, 1, 1, 2], [v = -2^(1/2), And(-2 < u,u < -3^
(1/2)), x < -u^2+1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [-1,
-1], [-146543/65536, -2344687/1048576]]]], [[2, 3, 1, 1, 3], [v = -2^(1/2), 
And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-4, -4], [-1, -1], [0, 0]]]], [[2, 3, 1, 1, 4], [
v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < 0, z = (-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [-1, -1], [2344687/1048576, 146543/65536]]]], [[2,
3, 1, 1, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y < 0, (-x-y
)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-4, -4], [-1, -1], [4, 4]]]], [[2, 4, 3, 6, 1], [
v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [
-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[2, 4, 3, 6, 2], [v = -2^(1/2), u = -3^
(1/2), And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3/2, 3/2
], [0, 0]]]], [[2, 4, 3, 6, 3], [v = -2^(1/2), u = -3^(1/2), And(-2 < x,x < -1
), y = -x, 0 < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1816187/1048576, -3632373/2097152], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[2,
7, 8, 1, 1], [v = -2^(1/2), And(v < u,u < -1), x = 0, y < u^2-3, z < -(-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[2, 7, 8, 1, 2], [v = -2^(1/
2), And(v < u,u < -1), x = 0, y < u^2-3, z = -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [0, 0]
, [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[2, 7, 8, 1, 3], [v = -2
^(1/2), And(v < u,u < -1), x = 0, y < u^2-3, And(-(-y)^(1/2) < z,z < (-y)^(1/2
))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[2, 7, 8, 1,
4], [v = -2^(1/2), And(v < u,u < -1), x = 0, y < u^2-3, z = (-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[2,
7, 8, 1, 5], [v = -2^(1/2), And(v < u,u < -1), x = 0, y < u^2-3, (-y)^(1/2) <
z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-3, -3], [3, 3]]]], [[2, 9, 3, 2, 1], [v = -2^(1/2)
, And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = u^2-x-3, z < -(-u^2+3)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15
/8], [-7/8, -7/8], [-3, -3]]]], [[2, 9, 3, 2, 2], [v = -2^(1/2), And(-1 < u,u
< 0), And(u^2-3 < x,x < -1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [-7/8, -7
/8], [-1738867/1048576, -3477733/2097152]]]], [[2, 9, 3, 2, 3], [v = -2^(1/2),
And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z
,z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [-15/8, -15/8], [-7/8, -7/8], [-1/4194304, -1/4194304]]]], [[2, 9,
3, 2, 4], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = u^2-x-3
, z = (-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1/2, -1/2], [-15/8, -15/8], [-7/8, -7/8], [869433/524288, 1738867/1048576]]]],
[[2, 9, 3, 2, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y =
u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1/2, -1/2], [-15/8, -15/8], [-7/8, -7/8], [3, 3]]]], [[2, 13, 5, 9,
1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), -x < y, z = z],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-1527887/2097152, -1527887/2097152], [2, 2], [0, 0]]]], [[2, 15, 2
, 6, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y = u^2-1, z < 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [1546381/1048576, 773191
/524288], [-1, -1]]]], [[2, 15, 2, 6, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2
)), x = -u^2+1, y = u^2-1, z = 0], [regular_chain, [[-1482911/1048576, -741455
/524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [1546381/1048576, 773191/524288], [0, 0]]]], [[2, 15, 2, 6, 3], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y = u^2-1, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [1546381/1048576, 773191/524288]
, [1, 1]]]], [[3, 1, 8, 2, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2),
x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [1, 1], [-20012899/2097152, -10006449/
1048576], [-4, -4]]]], [[3, 1, 8, 2, 2], [And(-2^(1/2) < v,v < -1), u < -(v^2+
2)^(1/2), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-20012899/2097152, -\
10006449/1048576], [-1532401/524288, -24518415/8388608]]]], [[3, 1, 8, 2, 3],
[And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3, -3], [1, 1], [-20012899/2097152, -10006449/1048576],
[-7/16777216, -7/16777216]]]], [[3, 1, 8, 2, 4], [And(-2^(1/2) < v,v < -1), u
< -(v^2+2)^(1/2), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1, 1], [-\
20012899/2097152, -10006449/1048576], [3064801/1048576, 1532401/524288]]]], [[
3, 1, 8, 2, 5], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), x = 1, y = -u^2
+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [1, 1], [-20012899/2097152, -10006449/1048576], [4, 4]]]],
[[3, 3, 1, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [797593/1048576, 797593/1048576], [-3, -3]]]], [[
3, 3, 1, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)
^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [797593/1048576, 797593/1048576], [-7548997/
4194304, -1887249/1048576]]]], [[3, 3, 1, 3, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(0 < y,y < -u^2
+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-\
4, -4], [797593/1048576, 797593/1048576], [0, 0]]]], [[3, 3, 1, 3, 4], [And(-2
^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1
, And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4],
[797593/1048576, 797593/1048576], [1887249/1048576, 943625/524288]]]], [[3, 3,
1, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x < -u^2+v^2-1, And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [797593/1048576, 797593/1048576], [3, 3]]]], [[3,
7, 7, 8, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -\
225185/1048576], [225185/1048576, 225185/1048576], [-1, -1]]]], [[3, 7, 7, 8,
2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 <
x,x < 0), y = -x, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [
225185/1048576, 225185/1048576], [0, 0]]]], [[3, 7, 7, 8, 3], [And(-2^(1/2) <
v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -x, 0
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-225185/1048576, -225185/1048576], [225185/1048576, 
225185/1048576], [1, 1]]]], [[3, 9, 2, 7, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, -2*u^2+2*v^2 < y, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [4, 4], [0, 0]]]], [[3, 17, 10, 7, 1], [And(-2^(1/2
) < v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, 0 < y, z = z], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/
524288], [1, 1], [0, 0]]]], [[4, 2, 1, 8, 1], [v = -1, u = -3^(1/2), x < -3, y
= 1-x, z = z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152]
, [-4, -4], [5, 5], [0, 0]]]], [[4, 6, 6, 4, 1], [v = -1, u = -1, x = 1, y = -\
1, z < 0], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-1, -1], [-1, -1]]]],
[[4, 6, 6, 4, 2], [v = -1, u = -1, x = 1, y = -1, z = 0], [regular_chain, [[-1
, -1], [-1, -1], [1, 1], [-1, -1], [0, 0]]]], [[4, 6, 6, 4, 3], [v = -1, u = -\
1, x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-1, -1
], [1, 1]]]], [[4, 8, 1, 7, 1], [v = -1, u = 0, x < -2, -x < y, z = z], [
regular_chain, [[-1, -1], [0, 0], [-3, -3], [4, 4], [0, 0]]]], [[4, 14, 3, 6,
1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = -x, z < 0], [regular_chain,
[[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2], [-1, -1]]]], [[
4, 14, 3, 6, 2], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = -x, z = 0], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [2, 2],
[0, 0]]]], [[4, 14, 3, 6, 3], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = -x
, 0 < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2
], [2, 2], [1, 1]]]], [[4, 15, 7, 7, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1
), And(0 < y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/
2], [13/4, 13/4], [0, 0]]]], [[5, 4, 8, 5, 1], [And(-1 < v,v < 0), u = -(v^2+1
)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-1/2, -1/2], [0, 0]]]], [[5, 6, 2,
1, 1], [And(-1 < v,v < 0), u = v, x = -1, y < 0, z < -(1-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [-1, -1], [-3, -3]]]], [
[5, 6, 2, 1, 2], [And(-1 < v,v < 0), u = v, x = -1, y < 0, z = -(1-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [-1, -1], [-1482911/
1048576, -741455/524288]]]], [[5, 6, 2, 1, 3], [And(-1 < v,v < 0), u = v, x =
-1, y < 0, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [-1/2, -1/2], [-1, -1], [-1, -1], [0, 0]]]], [[5, 6, 2, 1, 4], [And(-1 < v
,v < 0), u = v, x = -1, y < 0, z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [-1/2, -1/2], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[5,
6, 2, 1, 5], [And(-1 < v,v < 0), u = v, x = -1, y < 0, (1-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [-1, -1], [3, 3]]]], [[5
, 9, 8, 3, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-
u^2+v^2-1 < y,y < u^2-v^2-1), z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [0, 0], [-1, -1], [-2, -2]]]], [[5, 9, 8,
3, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-\
1 < y,y < u^2-v^2-1), z = -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [-1, -1], [-1, -1]]]], [[5, 9, 8, 3
, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1
< y,y < u^2-v^2-1), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-1, -1], [0, 0]]]], [[
5, 9, 8, 3, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(
-u^2+v^2-1 < y,y < u^2-v^2-1), z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[1696631/2097152, 1696631/2097152], [0, 0], [-1, -1], [1, 1]]]], [[5, 9, 8, 3,
5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, And(-u^2+v^2-1 <
y,y < u^2-v^2-1), (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-1, -1], [2, 2]]]], [[5, 11, 3, 4, 1], [
And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 <
x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [0, 0], [-3, -3]
]]], [[5, 11, 3, 4, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^
(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain, [
[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/
1048576], [0, 0], [-1379889/1048576, -86243/65536]]]], [[5, 11, 3, 4, 3], [And
(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x
< -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1/2, -1
/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [0,
0], [0, 0]]]], [[5, 11, 3, 4, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [0, 0], [86243/65536, 1379889/1048576]]]], [[5, 11
, 3, 4, 5], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(
-u^2+v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [0, 0],
[3, 3]]]], [[6, 2, 2, 4, 1], [v = 0, u = -2^(1/2), x = -3, y = 3, z < 0], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3],
[-1, -1]]]], [[6, 2, 2, 4, 2], [v = 0, u = -2^(1/2), x = -3, y = 3, z = 0], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3],
[0, 0]]]], [[6, 2, 2, 4, 3], [v = 0, u = -2^(1/2), x = -3, y = 3, 0 < z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3],
[1, 1]]]], [[6, 3, 6, 5, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, And(0 <
y,y < u^2-1), z = z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [0, 0], [239655/1048576, 239655/1048576], [0, 0]]]], [[6, 9, 8, 4, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y = -u^2+1, z < 0], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 
479311/1048576], [-479311/1048576, -239655/524288], [-1, -1]]]], [[6, 9, 8, 4,
2], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y = -u^2+1, z = 0], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 
479311/1048576], [-479311/1048576, -239655/524288], [0, 0]]]], [[6, 9, 8, 4, 3
], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y = -u^2+1, 0 < z], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 
479311/1048576], [-479311/1048576, -239655/524288], [1, 1]]]], [[6, 11, 1, 5,
1], [v = 0, 2^(1/2) < u, x < -u^2-1, And(-u^2-x-1 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [6, 6], [-4, -4]]]], [[6, 11
, 1, 5, 2], [v = 0, 2^(1/2) < u, x < -u^2-1, And(-u^2-x-1 < y,y < -x), z = -(-
x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [6, 6], [-146543/
65536, -2344687/1048576]]]], [[6, 11, 1, 5, 3], [v = 0, 2^(1/2) < u, x < -u^2-\
1, And(-u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [3, 3], [-11, -11], [6, 6], [0, 0]]]], [[6, 11, 1, 5,
4], [v = 0, 2^(1/2) < u, x < -u^2-1, And(-u^2-x-1 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [6, 6], [2344687/1048576, 
146543/65536]]]], [[6, 11, 1, 5, 5], [v = 0, 2^(1/2) < u, x < -u^2-1, And(-u^2
-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-11, -\
11], [6, 6], [4, 4]]]], [[7, 3, 11, 7, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-\
3222219/4194304, -3222219/4194304], [0, 0]]]], [[7, 5, 6, 6, 1], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/
1048576, -1248837/2097152], [312209/524288, 624419/1048576], [-1, -1]]]], [[7,
5, 6, 6, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1,
y = -u^2+v^2+1, z = 0], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [312209/524288, 624419/
1048576], [0, 0]]]], [[7, 5, 6, 6, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[1/2, 1/2],
[-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [
312209/524288, 624419/1048576], [1, 1]]]], [[8, 1, 5, 2, 1], [v = 1, u < -3^(1
/2), And(-1 < x,x < 0), y = -u^2-x, z < u], [regular_chain, [[1, 1], [-3, -3],
[-1/2, -1/2], [-17/2, -17/2], [-4, -4]]]], [[8, 1, 5, 2, 2], [v = 1, u < -3^(1
/2), And(-1 < x,x < 0), y = -u^2-x, z = u], [regular_chain, [[1, 1], [-3, -3],
[-1/2, -1/2], [-17/2, -17/2], [-3, -3]]]], [[8, 1, 5, 2, 3], [v = 1, u < -3^(1
/2), And(-1 < x,x < 0), y = -u^2-x, And(u < z,z < -u)], [regular_chain, [[1, 1
], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [0, 0]]]], [[8, 1, 5, 2, 4], [v = 1
, u < -3^(1/2), And(-1 < x,x < 0), y = -u^2-x, z = -u], [regular_chain, [[1, 1
], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [3, 3]]]], [[8, 1, 5, 2, 5], [v = 1
, u < -3^(1/2), And(-1 < x,x < 0), y = -u^2-x, -u < z], [regular_chain, [[1, 1
], [-3, -3], [-1/2, -1/2], [-17/2, -17/2], [4, 4]]]], [[8, 2, 7, 7, 1], [v = 1
, u = -3^(1/2), And(0 < x,x < 1), And(0 < y,y < 1-x), z = z], [regular_chain,
[[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [1/4, 1/4], [0, 0]]
]], [[8, 7, 4, 8, 1], [v = 1, And(-1 < u,u < 0), x = -1, y = 1, z < 0], [
regular_chain, [[1, 1], [-1/2, -1/2], [-1, -1], [1, 1], [-1, -1]]]], [[8, 7, 4
, 8, 2], [v = 1, And(-1 < u,u < 0), x = -1, y = 1, z = 0], [regular_chain, [[1
, 1], [-1/2, -1/2], [-1, -1], [1, 1], [0, 0]]]], [[8, 7, 4, 8, 3], [v = 1, And
(-1 < u,u < 0), x = -1, y = 1, 0 < z], [regular_chain, [[1, 1], [-1/2, -1/2],
[-1, -1], [1, 1], [1, 1]]]], [[8, 8, 9, 2, 1], [v = 1, u = 0, 1 < x, y = -x-2,
z < -2^(1/2)], [regular_chain, [[1, 1], [0, 0], [2, 2], [-4, -4], [-3, -3]]]],
[[8, 8, 9, 2, 2], [v = 1, u = 0, 1 < x, y = -x-2, z = -2^(1/2)], [
regular_chain, [[1, 1], [0, 0], [2, 2], [-4, -4], [-1482911/1048576, -741455/
524288]]]], [[8, 8, 9, 2, 3], [v = 1, u = 0, 1 < x, y = -x-2, And(-2^(1/2) < z
,z < 2^(1/2))], [regular_chain, [[1, 1], [0, 0], [2, 2], [-4, -4], [0, 0]]]],
[[8, 8, 9, 2, 4], [v = 1, u = 0, 1 < x, y = -x-2, z = 2^(1/2)], [regular_chain
, [[1, 1], [0, 0], [2, 2], [-4, -4], [741455/524288, 1482911/1048576]]]], [[8,
8, 9, 2, 5], [v = 1, u = 0, 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[1
, 1], [0, 0], [2, 2], [-4, -4], [3, 3]]]], [[8, 14, 9, 1, 1], [v = 1, u = 3^(1
/2), 1 < x, y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [2, 2], [-6, -6], [-3, -3]]]], [[8, 14, 9, 1, 2], [v
= 1, u = 3^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1]
, [908093/524288, 1816187/1048576], [2, 2], [-6, -6], [-2, -2]]]], [[8, 14, 9,
1, 3], [v = 1, u = 3^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^
(1/2))], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [-\
6, -6], [0, 0]]]], [[8, 14, 9, 1, 4], [v = 1, u = 3^(1/2), 1 < x, y < -x-3, z
= (-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2
, 2], [-6, -6], [2, 2]]]], [[8, 14, 9, 1, 5], [v = 1, u = 3^(1/2), 1 < x, y <
-x-3, (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [2, 2], [-6, -6], [3, 3]]]], [[9, 1, 2, 4, 1], [And(1 < v,v < 2^(1/2
)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [8957873/1048576, 4478937/524288], [-1, -1]]]], [[9, 1, 2, 4, 2], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = u^2-v^2+1, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [8957873/1048576, 4478937/524288], [0, 0]]]], [[9,
1, 2, 4, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y =
u^2-v^2+1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -\
3], [-4478937/524288, -8957873/1048576], [8957873/1048576, 4478937/524288], [1
, 1]]]], [[9, 5, 4, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), x = -1, 1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576
], [-5818805/4194304, -5818805/4194304], [-1, -1], [2, 2], [0, 0]]]], [[9, 7,
2, 1, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2
-1, y < 0, z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -\
1646781/1048576], [-1, -1], [-3, -3]]]], [[9, 7, 2, 1, 2], [And(1 < v,v < 2^(1
/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z = -(-u^2+v^2-y+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [-1, -1], [-\
3362313/2097152, -420289/262144]]]], [[9, 7, 2, 1, 3], [And(1 < v,v < 2^(1/2))
, And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, And(-(-u^2+v^2-y+1)^(1
/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/
1048576], [-1, -1], [0, 0]]]], [[9, 7, 2, 1, 4], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, z = (-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [-1, -1], [420289/
262144, 1681157/1048576]]]], [[9, 7, 2, 1, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y < 0, (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [-1, -1], [3, 3]]]], [
[9, 9, 11, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[9, 11, 7, 5, 1], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^
2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-225185/2097152, -225185/2097152], [-2, -2]]]], [[9, 11, 7, 5, 2],
[And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x <
0), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152
, -450371/2097152], [-225185/2097152, -225185/2097152], [-1190271/2097152, -\
595135/1048576]]]], [[9, 11, 7, 5, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1
/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743
/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152
], [-225185/2097152, -225185/2097152], [0, 0]]]], [[9, 11, 7, 5, 4], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(-
u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-225185/2097152, -225185/2097152], [595135/1048576, 9299/16384]]]],
[[9, 11, 7, 5, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(
-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-225185/2097152, -225185/
2097152], [2, 2]]]], [[9, 16, 2, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(
1/2), x = -3, y = 3, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-3, -3], [3, 3], [-1, -1]]]], [[9,
16, 2, 4, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y = 3, z = 0
], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649
/1048576], [-3, -3], [3, 3], [0, 0]]]], [[9, 16, 2, 4, 3], [And(1 < v,v < 2^(1
/2)), u = (v^2+2)^(1/2), x = -3, y = 3, 0 < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [3, 3],
[1, 1]]]], [[9, 17, 7, 2, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(
0 < x,x < 1), y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-4741081/524288, -\
9482161/1048576], [-4, -4]]]], [[9, 17, 7, 2, 2], [And(1 < v,v < 2^(1/2)), (v^
2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-\
4741081/524288, -9482161/1048576], [-1532401/524288, -24518415/8388608]]]], [[
9, 17, 7, 2, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1),
y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-\
4741081/524288, -9482161/1048576], [-7/16777216, -7/16777216]]]], [[9, 17, 7,
2, 4], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+
v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [1/2, 1/2], [-4741081/524288, -9482161/1048576], [3064801/
1048576, 1532401/524288]]]], [[9, 17, 7, 2, 5], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(0 < x,x < 1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-\
4741081/524288, -9482161/1048576], [4, 4]]]], [[10, 6, 1, 1, 1], [v = 2^(1/2),
u = -v, x < -1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [-3,
-3]]]], [[10, 6, 1, 1, 2], [v = 2^(1/2), u = -v, x < -1, y < 0, z = -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [
[10, 6, 1, 1, 3], [v = 2^(1/2), u = -v, x < -1, y < 0, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911
/1048576, -741455/524288], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[
10, 6, 1, 1, 4], [v = 2^(1/2), u = -v, x < -1, y < 0, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [908093/524288, 1816187/1048576]]]], [[10, 6, 1,
1, 5], [v = 2^(1/2), u = -v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain,
[[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2
], [-1, -1], [3, 3]]]], [[10, 7, 9, 4, 1], [v = 2^(1/2), And(-v < u,u < -1), 
And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
4014395/4194304, -16057579/16777216], [-2, -2]]]], [[10, 7, 9, 4, 2], [v = 2^(
1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = -u^2-x+1, z = -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743
/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/16777216], [-1417877/
2097152, -354469/524288]]]], [[10, 7, 9, 4, 3], [v = 2^(1/2), And(-v < u,u < -\
1), And(0 < x,x < 1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/16777216], [0, 0]]]
], [[10, 7, 9, 4, 4], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y =
-u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576
], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-4014395/4194304, -\
16057579/16777216], [354469/524288, 708939/1048576]]]], [[10, 7, 9, 4, 5], [v
= 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [1/2, 1/2], [-4014395/4194304, -16057579/16777216], [2, 2]]]
], [[10, 11, 11, 7, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, And(-u^2-x+1 <
y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [2, 2], [-5/8, -5/8], [0, 0]]]], [[10, 13, 7, 3, 1], [v = 2^(1/2), And(1 <
u,u < v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1
/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -\
808921/1048576], [-2, -2]]]], [[10, 13, 7, 3, 2], [v = 2^(1/2), And(1 < u,u <
v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -808921/
1048576], [-1, -1]]]], [[10, 13, 7, 3, 3], [v = 2^(1/2), And(1 < u,u < v), And
(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/
1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-808921/
1048576, -808921/1048576], [0, 0]]]], [[10, 13, 7, 3, 4], [v = 2^(1/2), And(1
< u,u < v), And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(
1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -\
808921/1048576], [1, 1]]]], [[10, 13, 7, 3, 5], [v = 2^(1/2), And(1 < u,u < v)
, And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -808921/
1048576], [2, 2]]]], [[11, 3, 1, 8, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = u^2-v^2-x-1, z = z], [regular_chain, [[
3, 3], [-3396811/1048576, -3396811/1048576], [-4, -4], [1178087/262144, 
4712349/1048576], [0, 0]]]], [[11, 4, 5, 3, 1], [2^(1/2) < v, u = -(v^2+1)^(1/
2), And(-1 < x,x < 0), And(-x-2 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/4, -3/4], [-3,
-3]]]], [[11, 4, 5, 3, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0)
, And(-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [-3/4, -3/4], [-146543/131072, -1172343
/1048576]]]], [[11, 4, 5, 3, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,
x < 0), And(-x-2 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/4
, -3/4], [0, 0]]]], [[11, 4, 5, 3, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-\
1 < x,x < 0), And(-x-2 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/4, -3/4], [1172343/
1048576, 146543/131072]]]], [[11, 4, 5, 3, 5], [2^(1/2) < v, u = -(v^2+1)^(1/2
), And(-1 < x,x < 0), And(-x-2 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/4, -3/4], [3, 3]
]]], [[11, 9, 3, 7, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2
)), And(u^2-v^2-1 < x,x < -1), And(-x < y,y < -u^2+v^2-x-1), z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [4211799/2097152, 4211799/2097152], [0, 0]]]], [[
11, 10, 6, 1, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y < -3, z < -(-y)^(
1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0],
[-4, -4], [-3, -3]]]], [[11, 10, 6, 1, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x
= 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -\
2774271/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[11, 10, 6, 1, 3], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x = 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [-4, -4
], [0, 0]]]], [[11, 10, 6, 1, 4], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y <
-3, z = (-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [0, 0], [-4, -4], [2, 2]]]], [[11, 10, 6, 1, 5], [2^(1/2) < v, u = -
(v^2-2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [0, 0], [-4, -4], [3, 3]]]], [[11, 16, 2,
2, 1], [2^(1/2) < v, u = v, x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [
3, 3], [-1, -1], [0, 0], [-2, -2]]]], [[11, 16, 2, 2, 2], [2^(1/2) < v, u = v,
x = -1, y = 0, z = -1], [regular_chain, [[3, 3], [3, 3], [-1, -1], [0, 0], [-1
, -1]]]], [[11, 16, 2, 2, 3], [2^(1/2) < v, u = v, x = -1, y = 0, And(-1 < z,z
< 1)], [regular_chain, [[3, 3], [3, 3], [-1, -1], [0, 0], [0, 0]]]], [[11, 16,
2, 2, 4], [2^(1/2) < v, u = v, x = -1, y = 0, z = 1], [regular_chain, [[3, 3],
[3, 3], [-1, -1], [0, 0], [1, 1]]]], [[11, 16, 2, 2, 5], [2^(1/2) < v, u = v,
x = -1, y = 0, 1 < z], [regular_chain, [[3, 3], [3, 3], [-1, -1], [0, 0], [2,
2]]]], [[11, 17, 10, 3, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1,
And(-u^2+v^2-2 < y,y < u^2-v^2-2), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3]
, [403851/131072, 403851/131072], [1, 1], [-2, -2], [-2, -2]]]], [[11, 17, 10,
3, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< u^2-v^2-2), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [1, 1], [-2, -2], [-1, -1]]]], [[11, 17, 10, 3, 3], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), And
(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [1, 1], [-2, -2], [0, 0]]]], [[11, 17, 10, 3, 4], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), z =
(-y-1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1]
, [-2, -2], [1, 1]]]], [[11, 17, 10, 3, 5], [2^(1/2) < v, And(v < u,u < (v^2+1
)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < u^2-v^2-2), (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-2, -2], [2,
2]]]], [[1, 2, 3, 7, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1)
, And(-x < y,y < 1-x), z = z], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-2, -2], [5/2, 5/2], [0, 0]]]], [[1, 3, 8, 3, 1], [v < -2^(
1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*
v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3]
, [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-\
116841131/67108864, -116841131/67108864], [-3, -3]]]], [[1, 3, 8, 3, 2], [v <
-2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^
2+2*v^2 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-\
116841131/67108864, -116841131/67108864], [-1170947/1048576, -585473/524288]]]
], [[1, 3, 8, 3, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2))
, x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/
2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [-3396811/
1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-116841131/
67108864, -116841131/67108864], [0, 0]]]], [[1, 3, 8, 3, 4], [v < -2^(1/2), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 <
y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-\
116841131/67108864, -116841131/67108864], [585473/524288, 1170947/1048576]]]],
[[1, 3, 8, 3, 5], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z],
[regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/
262144, 518045/1048576], [-116841131/67108864, -116841131/67108864], [3, 3]]]]
, [[1, 8, 4, 3, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y <
0), z < -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283
/4194304], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[1, 8, 4, 3, 2], [v < -2^(1/2
), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1
/2, -1/2], [-1284239/1048576, -642119/524288]]]], [[1, 8, 4, 3, 3], [v < -2^(1
/2), u = -(v^2-1)^(1/2), x = -1, And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304]
, [-1, -1], [-1/2, -1/2], [0, 0]]]], [[1, 8, 4, 3, 4], [v < -2^(1/2), u = -(v^
2-1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-3,
-3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [642119/
524288, 1284239/1048576]]]], [[1, 8, 4, 3, 5], [v < -2^(1/2), u = -(v^2-1)^(1/
2), x = -1, And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[1, 9
, 10, 2, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1,
y = u^2-v^2-2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-22960369
/8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527/2097152], [-3,
-3]]]], [[1, 9, 10, 2, 2], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^
(1/2)), x = 1, y = u^2-v^2-2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [-22960369/8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527
/2097152], [-3321417/2097152, -415177/262144]]]], [[1, 9, 10, 2, 3], [v < -2^(
1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, And(-(
-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
22960369/8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527/
2097152], [0, 0]]]], [[1, 9, 10, 2, 4], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,
u < -(v^2-2)^(1/2)), x = 1, y = u^2-v^2-2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [-\
919691/262144, -7357527/2097152], [415177/262144, 1660709/1048576]]]], [[1, 9,
10, 2, 5], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y
= u^2-v^2-2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [1, 1], [-919691/262144, -7357527/2097152], [3, 3
]]]], [[1, 15, 5, 8, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1
< x,x < -u^2+v^2-1), y = -x, z < 0], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [391287/524288, 
391287/524288], [-1, -1]]]], [[1, 15, 5, 8, 2], [v < -2^(1/2), And((v^2-1)^(1/
2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -x, z = 0], [regular_chain, [[
-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288],
[391287/524288, 391287/524288], [0, 0]]]], [[1, 15, 5, 8, 3], [v < -2^(1/2), 
And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [391287/524288, 391287/524288], [1, 1]]]], [[1, 17, 3, 2, 1],
[v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y =
-u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-64673/262144,
-258691/1048576], [-3, -3]]]], [[1, 17, 3, 2, 2], [v < -2^(1/2), And(-v < u,u
< (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+
1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
2614535/2097152, -2614535/2097152], [-64673/262144, -258691/1048576], [-\
1281417/1048576, -160177/131072]]]], [[1, 17, 3, 2, 3], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^
2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [403851
/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-64673/262144,
-258691/1048576], [0, 0]]]], [[1, 17, 3, 2, 4], [v < -2^(1/2), And(-v < u,u <
(v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/
2097152, -2614535/2097152], [-64673/262144, -258691/1048576], [160177/131072,
1281417/1048576]]]], [[1, 17, 3, 2, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152,
-2614535/2097152], [-64673/262144, -258691/1048576], [3, 3]]]], [[1, 21, 5, 7,
1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-x < y,y < u^2-v^
2-x-1), z = z], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [8, 8], [0, 0
]]]], [[2, 1, 8, 3, 1], [v = -2^(1/2), u < -2, x = 1, And(-u^2 < y,y < -1), z
< -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3
], [1, 1], [-5, -5], [-3, -3]]]], [[2, 1, 8, 3, 2], [v = -2^(1/2), u < -2, x =
1, And(-u^2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [-5, -5], [-2, -2]]]], [[2, 1, 8,
3, 3], [v = -2^(1/2), u < -2, x = 1, And(-u^2 < y,y < -1), And(-(-y-1)^(1/2) <
z,z < (-y-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-3
, -3], [1, 1], [-5, -5], [0, 0]]]], [[2, 1, 8, 3, 4], [v = -2^(1/2), u < -2, x
= 1, And(-u^2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [-5, -5], [2, 2]]]], [[2, 1, 8, 3,
5], [v = -2^(1/2), u < -2, x = 1, And(-u^2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-5, -5]
, [3, 3]]]], [[2, 10, 4, 7, 1], [v = -2^(1/2), u = 0, x = -1, And(1 < y,y < 2)
, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1
], [3/2, 3/2], [0, 0]]]], [[2, 11, 9, 5, 1], [v = -2^(1/2), And(0 < u,u < 1),
And(-u^2+1 < x,x < 1), And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-1/2, -1/2], [0, 0]
]]], [[2, 16, 5, 5, 1], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]
]], [[2, 16, 5, 5, 2], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(0 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1
/2]]]], [[2, 16, 5, 5, 3], [v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), And(
0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2, -1/
2], [1/4, 1/4], [0, 0]]]], [[2, 16, 5, 5, 4], [v = -2^(1/2), u = 3^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2, -1/
2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 16, 5, 5, 5], [v = -2^(1/2), u = 3^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2, -1/
2], [1/4, 1/4], [2, 2]]]], [[2, 17, 11, 2, 1], [v = -2^(1/2), And(3^(1/2) < u,
u < 2), 1 < x, y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [2, 2], [-\
1174943/262144, -4699771/1048576], [-3, -3]]]], [[2, 17, 11, 2, 2], [v = -2^(1
/2), And(3^(1/2) < u,u < 2), 1 < x, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-825991/524288, -\
3303963/2097152]]]], [[2, 17, 11, 2, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2)
, 1 < x, y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [-1174943/262144, -4699771/1048576], [-1/4194304, -1/4194304
]]]], [[2, 17, 11, 2, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = -u
^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288
], [3913339/2097152, 3913339/2097152], [2, 2], [-1174943/262144, -4699771/
1048576], [1651981/1048576, 825991/524288]]]], [[2, 17, 11, 2, 5], [v = -2^(1/
2), And(3^(1/2) < u,u < 2), 1 < x, y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [-1174943/262144, -4699771/1048576], [3, 3]]]], [[3, 4, 3, 5
, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0
< y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [3/4, 3/4], [-2, -\
2]]]], [[3, 4, 3, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2
< x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2],
[3/4, 3/4], [-1816187/2097152, -3632373/4194304]]]], [[3, 4, 3, 5, 3], [And(-2
^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2], [3/4, 3/4
], [-1/8388608, -1/8388608]]]], [[3, 4, 3, 5, 4], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [3/4, 3/4], [908093/1048576, 454047/524288]]]]
, [[3, 4, 3, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,
x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-3/2, -3/2],
[3/4, 3/4], [2, 2]]]], [[3, 5, 9, 6, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+
1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1/2
, 1/2], [-1/2, -1/2], [-1, -1]]]], [[3, 5, 9, 6, 2], [And(-2^(1/2) < v,v < -1)
, And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[3, 5, 9, 6, 3], [And(
-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), y = -x,
0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/
4194304, -5818805/4194304], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 10, 5, 6
, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x,
z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288,
708939/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[3, 10, 5, 6, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, z = 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[3, 10, 5, 6, 3], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[3, 11, 11, 3, 1], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-12582913/4194304
, -12582913/4194304], [-3, -3]]]], [[3, 11, 11, 3, 2], [And(-2^(1/2) < v,v < -\
1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1
), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [2, 2], [-12582913/4194304, -12582913/
4194304], [-1048577/1048576, -1]]]], [[3, 11, 11, 3, 3], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-\
1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-\
12582913/4194304, -12582913/4194304], [0, 0]]]], [[3, 11, 11, 3, 4], [And(-2^(
1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y
< -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-12582913/4194304
, -12582913/4194304], [1, 1048577/1048576]]]], [[3, 11, 11, 3, 5], [And(-2^(1/
2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y <
-u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743
/1048576], [987341/1048576, 987341/1048576], [2, 2], [-12582913/4194304, -\
12582913/4194304], [3, 3]]]], [[3, 15, 4, 6, 1], [And(-2^(1/2) < v,v < -1), 
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1, 1], [-1, -1]]]], [[3, 15, 4, 6, 2], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, z = 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1, 1], [0, 0]]]], [[3, 15, 4, 6, 3], [And(-2^(1/2) < v,v <
-1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = 1, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1, 1], [1, 1]]]], [[3, 16, 7, 2, 1], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z < -3^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-7/2, -7/2], [-3, -3]]]], [[3, 16, 7, 2, 2], [And(-2^(1
/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = -3^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-7/2, -7/2], [-1816187/1048576, -3632373/2097152]]]], [
[3, 16, 7, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x <
1), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2], [-7/2
, -7/2], [-1/4194304, -1/4194304]]]], [[3, 16, 7, 2, 4], [And(-2^(1/2) < v,v <
-1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y = -x-3, z = 3^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-7/2, -7/2], [908093/524288, 1816187/1048576]]]], [[3,
16, 7, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1),
y = -x-3, 3^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[121853/65536, 1949649/1048576], [1/2, 1/2], [-7/2, -7/2], [3, 3]]]], [[4, 3,
7, 7, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(0
< y,y < u^2-x-2), z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -\
6598195/4194304], [248903/1048576, 248903/1048576], [248903/2097152, 248903/
2097152], [0, 0]]]], [[4, 5, 3, 3, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(
-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/
1048576], [-239655/2097152, -239655/2097152], [-3, -3]]]], [[4, 5, 3, 3, 2], [
v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0),
z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1288231/1048576, -1288231/1048576], [-239655/2097152, -239655/
2097152], [-151887/131072, -1215095/1048576]]]], [[4, 5, 3, 3, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [-239655/
2097152, -239655/2097152], [0, 0]]]], [[4, 5, 3, 3, 4], [v = -1, And(-2^(1/2)
< u,u < -1), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [1215095/
1048576, 151887/131072]]]], [[4, 5, 3, 3, 5], [v = -1, And(-2^(1/2) < u,u < -1
), And(-u^2 < x,x < -1), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [-239655/2097152, -239655/2097152], [3, 3]]]], [[4
, 11, 6, 3, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y
< 0), z < -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1138531/2097152, -569265/1048576], [-7668971/16777216, -\
7668971/16777216], [-2, -2]]]], [[4, 11, 6, 3, 2], [v = -1, And(1 < u,u < 2^(1
/2)), x = u^2-2, And(-2*u^2+2 < y,y < 0), z = -(-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [-7668971/16777216, -7668971/16777216], [-\
2199023224735/2199023255552, -70368743191519/70368744177664]]]], [[4, 11, 6, 3
, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < 0), And
(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
7668971/16777216, -7668971/16777216], [-66122719/140737488355328, -66122719/
140737488355328]]]], [[4, 11, 6, 3, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = u
^2-2, And(-2*u^2+2 < y,y < 0), z = (-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1
], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-\
7668971/16777216, -7668971/16777216], [1048575/1048576, 1]]]], [[4, 11, 6, 3,
5], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, And(-2*u^2+2 < y,y < 0), (-u^2
-y+2)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576
], [-1138531/2097152, -569265/1048576], [-7668971/16777216, -7668971/16777216]
, [2, 2]]]], [[4, 13, 1, 8, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^
2, y = u^2-x-2, z = z], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/
2097152], [-4, -4], [4692109/1048576, 2346055/524288], [0, 0]]]], [[5, 1, 11,
4, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, z < 0],
[regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-9, -9], [-1, -1]]]], [[5, 1
, 11, 4, 2], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x, z
= 0], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-9, -9], [0, 0]]]], [[
5, 1, 11, 4, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -x
, 0 < z], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-9, -9], [1, 1]]]]
, [[5, 3, 4, 9, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x = -1, u^2-v^2 < y, z = z], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1, -1], [3, 3], [0, 0]]]], [[5, 12, 5, 2, 1], [And(
-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)],
[regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-5/2, -5/2], [-3, -3
]]]], [[5, 12, 5, 2, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x <
0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2,
-1/2], [-5/2, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[5, 12, 5, 2, 3
], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, And(-3^
(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/
2], [-5/2, -5/2], [-1/4194304, -1/4194304]]]], [[5, 12, 5, 2, 4], [And(-1 < v,
v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [
regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-5/2, -5/2], [908093/
524288, 1816187/1048576]]]], [[5, 12, 5, 2, 5], [And(-1 < v,v < 0), u = (v^2+2
)^(1/2), And(-1 < x,x < 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1/2, -1
/2], [3/2, 3/2], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[5, 13, 9, 7, 1], [
And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), And(0 < y,y <
u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [27
/16, 27/16], [0, 0]]]], [[6, 5, 1, 3, 1], [v = 0, And(-1 < u,u < 0), x < -u^2-\
1, And(0 < y,y < -u^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2
, -1/2], [-3, -3], [7/8, 7/8], [-3, -3]]]], [[6, 5, 1, 3, 2], [v = 0, And(-1 <
u,u < 0), x < -u^2-1, And(0 < y,y < -u^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [7/8, 7/8], [-764275/524288, -\
1528549/1048576]]]], [[6, 5, 1, 3, 3], [v = 0, And(-1 < u,u < 0), x < -u^2-1,
And(0 < y,y < -u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [7/8, 7/8], [0, 0]]]], [[6, 5,
1, 3, 4], [v = 0, And(-1 < u,u < 0), x < -u^2-1, And(0 < y,y < -u^2-x-1), z =
(-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [7/8, 7/8], [
1528549/1048576, 764275/524288]]]], [[6, 5, 1, 3, 5], [v = 0, And(-1 < u,u < 0
), x < -u^2-1, And(0 < y,y < -u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[0
, 0], [-1/2, -1/2], [-3, -3], [7/8, 7/8], [3, 3]]]], [[6, 6, 4, 5, 1], [v = 0,
u = 0, x = 0, 0 < y, z = z], [regular_chain, [[0, 0], [0, 0], [0, 0], [1, 1],
[0, 0]]]], [[7, 1, 3, 5, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v
^2-1 < x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2
, 1/2], [-3, -3], [-43/8, -43/8], [43/16, 43/16], [-3, -3]]]], [[7, 1, 3, 5, 2
], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8,
-43/8], [43/16, 43/16], [-3437987/2097152, -1718993/1048576]]]], [[7, 1, 3, 5,
3], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 <
y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/
2], [-3, -3], [-43/8, -43/8], [43/16, 43/16], [0, 0]]]], [[7, 1, 3, 5, 4], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y
< -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8
], [43/16, 43/16], [1718993/1048576, 859497/524288]]]], [[7, 1, 3, 5, 5], [And
(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8],
[43/16, 43/16], [3, 3]]]], [[7, 2, 5, 8, 1], [And(0 < v,v < 1), u = -(v^2+2)^(
1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[1/2, 1/2], [-3/2,
-3/2], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[7, 7, 3, 2, 1], [And(0 < v,v < 1
), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-1/8, -1/8],
[-3, -3]]]], [[7, 7, 3, 2, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v
^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [0, 0], [-9/8, -9/8], [-1/8, -1/8], [-146543/131072, -1172343/
1048576]]]], [[7, 7, 3, 2, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v
^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1
)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-1/8, -1/8], [0
, 0]]]], [[7, 7, 3, 2, 4], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1
< x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2,
1/2], [0, 0], [-9/8, -9/8], [-1/8, -1/8], [1172343/1048576, 146543/131072]]]],
[[7, 7, 3, 2, 5], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x <
-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [0
, 0], [-9/8, -9/8], [-1/8, -1/8], [3, 3]]]], [[7, 8, 7, 1, 1], [And(0 < v,v <
1), u = v, 1 < x, y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [
1/2, 1/2], [2, 2], [-4, -4], [-3, -3]]]], [[7, 8, 7, 1, 2], [And(0 < v,v < 1),
u = v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2,
1/2], [2, 2], [-4, -4], [-1482911/1048576, -741455/524288]]]], [[7, 8, 7, 1, 3
], [And(0 < v,v < 1), u = v, 1 < x, y < -1-x, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-4, -4], [0, 0]]]]
, [[7, 8, 7, 1, 4], [And(0 < v,v < 1), u = v, 1 < x, y < -1-x, z = (-x-y)^(1/2
)], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-4, -4], [741455/524288,
1482911/1048576]]]], [[7, 8, 7, 1, 5], [And(0 < v,v < 1), u = v, 1 < x, y < -1
-x, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-4, -\
4], [3, 3]]]], [[7, 11, 10, 3, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [
regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-2340173/
1048576, -2340173/1048576], [-3, -3]]]], [[7, 11, 10, 3, 2], [And(0 < v,v < 1)
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1),
z = -(-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144
], [1, 1], [-2340173/1048576, -2340173/1048576], [-1163761/1048576, -72735/
65536]]]], [[7, 11, 10, 3, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v
^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y
-1)^(1/2))], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1,
1], [-2340173/1048576, -2340173/1048576], [0, 0]]]], [[7, 11, 10, 3, 4], [And(
0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2
< y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1/2, 1/2], [343151/262144, 
343151/262144], [1, 1], [-2340173/1048576, -2340173/1048576], [72735/65536, 
1163761/1048576]]]], [[7, 11, 10, 3, 5], [And(0 < v,v < 1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z],
[regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-2340173
/1048576, -2340173/1048576], [3, 3]]]], [[7, 13, 3, 4, 1], [And(0 < v,v < 1),
(v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [0, 0], [-4, -4]]]], [[7,
13, 3, 4, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1)
, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8]
, [0, 0], [-151939/65536, -2431023/1048576]]]], [[7, 13, 3, 4, 3], [And(0 < v,
v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [0,
0], [0, 0]]]], [[7, 13, 3, 4, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u
^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1/2], [3,
3], [-43/8, -43/8], [0, 0], [2431023/1048576, 151939/65536]]]], [[7, 13, 3, 4,
5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = 0, (
-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [0, 0], [
4, 4]]]], [[8, 4, 3, 1, 1], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y < -x-2
, z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-3/2, -3/2], [-2, -2], [-3, -3]]]], [[8, 4, 3, 1, 2], [v = 1, u = -2
^(1/2), And(-2 < x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1,
1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-2, -2], [-7846825/
4194304, -980853/524288]]]], [[8, 4, 3, 1, 3], [v = 1, u = -2^(1/2), And(-2 <
x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-2, -2], [0, 0]]]]
, [[8, 4, 3, 1, 4], [v = 1, u = -2^(1/2), And(-2 < x,x < -1), y < -x-2, z = (-
x-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/
2, -3/2], [-2, -2], [980853/524288, 1961707/1048576]]]], [[8, 4, 3, 1, 5], [v
= 1, u = -2^(1/2), And(-2 < x,x < -1), y < -x-2, (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3/2, -3/2], [-2,
-2], [3, 3]]]], [[8, 5, 8, 5, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And
(u^2-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [-569265/2097152, -569265/2097152], [-2, -\
2]]]], [[8, 5, 8, 5, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(u^2-2 <
y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-569265/2097152, -569265/2097152], [-273157/524288,
-1092627/2097152]]]], [[8, 5, 8, 5, 3], [v = 1, And(-2^(1/2) < u,u < -1), x =
0, And(u^2-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [-569265/2097152, -\
569265/2097152], [-1/4194304, -1/4194304]]]], [[8, 5, 8, 5, 4], [v = 1, And(-2
^(1/2) < u,u < -1), x = 0, And(u^2-2 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [-569265
/2097152, -569265/2097152], [546313/1048576, 273157/524288]]]], [[8, 5, 8, 5,
5], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(u^2-2 < y,y < 0), (-y)^(1/2)
< z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [
-569265/2097152, -569265/2097152], [2, 2]]]], [[8, 11, 11, 9, 1], [v = 1, And(
1 < u,u < 2^(1/2)), 1 < x, 0 < y, z = z], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [2, 2], [1, 1], [0, 0]]]], [[8, 13, 7, 1, 1], [v =
1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, z < -(-x-y)
^(1/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
2097152, 497805/2097152], [-4, -4], [-3, -3]]]], [[8, 13, 7, 1, 2], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, z = -(-x-y)^(1
/2)], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/
2097152, 497805/2097152], [-4, -4], [-32543597/16777216, -8135899/4194304]]]],
[[8, 13, 7, 1, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2),
y < -u^2-x, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [-4, -4]
, [-3/8388608, -3/8388608]]]], [[8, 13, 7, 1, 4], [v = 1, And(2^(1/2) < u,u <
3^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, z = (-x-y)^(1/2)], [regular_chain,
[[1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152],
[-4, -4], [1016987/524288, 2033975/1048576]]]], [[8, 13, 7, 1, 5], [v = 1, And
(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y < -u^2-x, (-x-y)^(1/2) < z]
, [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152
, 497805/2097152], [-4, -4], [3, 3]]]], [[9, 2, 6, 1, 1], [And(1 < v,v < 2^(1/
2)), u = -(v^2+2)^(1/2), x = 0, y < -3, z < -(-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0
], [-4, -4], [-3, -3]]]], [[9, 2, 6, 1, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2
+2)^(1/2), x = 0, y < -3, z = -(-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-4, -4], [-2,
-2]]]], [[9, 2, 6, 1, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0,
y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-4,
-4], [0, 0]]]], [[9, 2, 6, 1, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2),
x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [0, 0], [-4, -4], [2, 2]]]], [
[9, 2, 6, 1, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), x = 0, y < -3, (
-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297
/2097152, -7798593/4194304], [0, 0], [-4, -4], [3, 3]]]], [[9, 3, 10, 4, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y =
-1, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [-1, -1], [-1, -1]]]], [[9, 3, 10, 4, 2],
[And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y
= -1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [-1, -1], [0, 0]]]], [[9, 3, 10, 4, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y =
-1, 0 < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/
8388608, -14373233/8388608], [1, 1], [-1, -1], [1, 1]]]], [[9, 13, 3, 8, 1], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-2587387/2097152, -2587387/2097152], [
1293693/1048576, 646847/524288], [-1, -1]]]], [[9, 13, 3, 8, 2], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x,
z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-2587387/2097152, -2587387/2097152], [1293693/1048576, 
646847/524288], [0, 0]]]], [[9, 13, 3, 8, 3], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-2587387/2097152, -2587387/2097152], [1293693/1048576, 646847/
524288], [1, 1]]]], [[9, 14, 7, 3, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1/2, 1/2], [-3/2, -3/2], [-2, -2]]]], [[9, 14, 7, 3, 2], [And(1 < v,
v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[9, 14, 7, 3,
3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y
,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1/2, 1/2], [-3/2
, -3/2], [0, 0]]]], [[9, 14, 7, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1
/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1/2,
1/2], [-3/2, -3/2], [1, 1]]]], [[9, 14, 7, 3, 5], [And(1 < v,v < 2^(1/2)), u =
(v^2+1)^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[10, 1, 8, 9, 1], [v = 2^(1/2),
u < -2, x = 1, u^2-4 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [1, 1], [6, 6], [0, 0]]]], [[10, 3, 2, 1, 1], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x = -u^2+1, y < 0, z < -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-3, -3]]]], [[10, 3,
2, 1, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y < 0, z = -(u^2
-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-\
3913339/2097152, -3913339/2097152]]]], [[10, 3, 2, 1, 3], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x = -u^2+1, y < 0, And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(
1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152,
-3913339/2097152], [-650655/262144, -2602619/1048576], [-1, -1], [-1/4194304,
-1/4194304]]]], [[10, 3, 2, 1, 4], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x =
-u^2+1, y < 0, z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3913339/2097152, -3913339/2097152], [-650655/262144, -2602619/
1048576], [-1, -1], [1956669/1048576, 978335/524288]]]], [[10, 3, 2, 1, 5], [v
= 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y < 0, (u^2-y-1)^(1/2) < z],
[regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339
/2097152], [-650655/262144, -2602619/1048576], [-1, -1], [3, 3]]]], [[10, 9, 3
, 9, 1], [v = 2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), -u^2-x+1 < y,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-15/
8, -15/8], [4, 4], [0, 0]]]], [[10, 10, 5, 8, 1], [v = 2^(1/2), u = 0, And(-1
< x,x < 0), y = 1-x, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [0, 0], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]], [[10, 15, 3, 8, 1], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [648739/524288, 1297479/
1048576], [-1, -1]]]], [[10, 15, 3, 8, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)
), And(-u^2+1 < x,x < -1), y = -x, z = 0], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [648739/524288, 1297479/1048576], [0, 0]]]], [[10, 15, 3, 8,
3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -x, 0 <
z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [648739/524288, 
1297479/1048576], [1, 1]]]], [[10, 16, 7, 3, 1], [v = 2^(1/2), u = 3^(1/2), 
And(0 < x,x < 1), And(-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1/2, 1/2],
[-3/2, -3/2], [-2, -2]]]], [[10, 16, 7, 3, 2], [v = 2^(1/2), u = 3^(1/2), And(
0 < x,x < 1), And(-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1/2, 1/2],
[-3/2, -3/2], [-1, -1]]]], [[10, 16, 7, 3, 3], [v = 2^(1/2), u = 3^(1/2), And(
0 < x,x < 1), And(-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[10, 16, 7, 3, 4], [v = 2^(1/2
), u = 3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[10, 16, 7, 3, 5], [v = 2^(1/2
), u = 3^(1/2), And(0 < x,x < 1), And(-x-2 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[10, 19, 7, 2, 1], [v = 2^(1/2
), 2 < u, And(0 < x,x < 1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-17/2, -17/2], [-4, -4
]]]], [[10, 19, 7, 2, 2], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y = -u^2-x+1,
z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3]
, [1/2, 1/2], [-17/2, -17/2], [-2965821/1048576, -11863283/4194304]]]], [[10,
19, 7, 2, 3], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y = -u^2-x+1, And(-(u^2-1
)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1/2, 1/2], [-17/2, -17/2], [-3/8388608, -3/8388608]]]], [[
10, 19, 7, 2, 4], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y = -u^2-x+1, z = (u^
2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2,
1/2], [-17/2, -17/2], [741455/262144, 2965821/1048576]]]], [[10, 19, 7, 2, 5],
[v = 2^(1/2), 2 < u, And(0 < x,x < 1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-17/2,
-17/2], [4, 4]]]], [[11, 1, 9, 1, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1
< x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3,
3], [-5, -5], [8, 8], [-26, -26], [-6, -6]]]], [[11, 1, 9, 1, 2], [2^(1/2) < v
, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^
(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-26, -26], [-1112183/
262144, -4448731/1048576]]]], [[11, 1, 9, 1, 3], [2^(1/2) < v, u < -(v^2+2)^(1
/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-26, -26], [0, 0]]]],
[[11, 1, 9, 1, 4], [2^(1/2) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1),
y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-5, -5], [8, 8]
, [-26, -26], [4448731/1048576, 1112183/262144]]]], [[11, 1, 9, 1, 5], [2^(1/2
) < v, u < -(v^2+2)^(1/2), And(1 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[3, 3], [-5, -5], [8, 8], [-26, -26], [6, 6]]]],
[[11, 6, 1, 1, 1], [2^(1/2) < v, u = -v, x < -1, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1, -1], [-3, -3]]]], [[11, 6, 1,
1, 2], [2^(1/2) < v, u = -v, x < -1, y < 0, z = -(-x-y)^(1/2)], [regular_chain
, [[3, 3], [-3, -3], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]
]], [[11, 6, 1, 1, 3], [2^(1/2) < v, u = -v, x < -1, y < 0, And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1, -1],
[-1/4194304, -1/4194304]]]], [[11, 6, 1, 1, 4], [2^(1/2) < v, u = -v, x < -1,
y < 0, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [-1, -1
], [908093/524288, 1816187/1048576]]]], [[11, 6, 1, 1, 5], [2^(1/2) < v, u = -
v, x < -1, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-2, -\
2], [-1, -1], [3, 3]]]], [[11, 7, 8, 7, 1], [2^(1/2) < v, And(-v < u,u < -(v^2
-1)^(1/2)), x = 0, 0 < y, z = z], [regular_chain, [[3, 3], [-6111549/2097152,
-6111549/2097152], [0, 0], [1, 1], [0, 0]]]], [[11, 13, 5, 3, 1], [2^(1/2) < v
, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1
< y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [-526475/524288, -526475/524288], [-3, -3]]]],
[[11, 13, 5, 3, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-\
526475/524288, -526475/524288], [-1286023/1048576, -643011/524288]]]], [[11, 
13, 5, 3, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 <
x,x < 0), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-\
526475/524288, -526475/524288], [0, 0]]]], [[11, 13, 5, 3, 4], [2^(1/2) < v, 
And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 <
y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023
/524288], [-1/2, -1/2], [-526475/524288, -526475/524288], [643011/524288, 
1286023/1048576]]]], [[11, 13, 5, 3, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2],
[-526475/524288, -526475/524288], [3, 3]]]], [[11, 14, 9, 2, 1], [2^(1/2) < v,
u = (v^2-1)^(1/2), 1 < x, y = -x-2, z < -2^(1/2)], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [2, 2], [-4, -4], [-3, -3]]]], [[11, 14, 9, 2
, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [-4, -4], [-\
1482911/1048576, -741455/524288]]]], [[11, 14, 9, 2, 3], [2^(1/2) < v, u = (v^
2-1)^(1/2), 1 < x, y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[3, 3], [741455/262144, 2965821/1048576], [2, 2], [-4, -4], [0, 0]]]], [[11, 
14, 9, 2, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)],
[regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [-4, -4], [
741455/524288, 1482911/1048576]]]], [[11, 14, 9, 2, 5], [2^(1/2) < v, u = (v^2
-1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[3, 3], [741455/
262144, 2965821/1048576], [2, 2], [-4, -4], [3, 3]]]], [[11, 19, 6, 7, 1], [2^
(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, u^2-v^2-1 < y, z =
z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [2, 2
], [0, 0]]]], [[11, 20, 9, 1, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y <
-x-3, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/
524288], [2, 2], [-6, -6], [-3, -3]]]], [[11, 20, 9, 1, 2], [2^(1/2) < v, u =
(v^2+2)^(1/2), 1 < x, y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [2, 2], [-6, -6], [-2, -2]]]], [[11, 20, 9,
1, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y < -x-3, And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288
], [2, 2], [-6, -6], [0, 0]]]], [[11, 20, 9, 1, 4], [2^(1/2) < v, u = (v^2+2)^
(1/2), 1 < x, y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3477733/
1048576, 1738867/524288], [2, 2], [-6, -6], [2, 2]]]], [[11, 20, 9, 1, 5], [2^
(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y < -x-3, (-x-y)^(1/2) < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [-6, -6], [
3, 3]]]], [[1, 5, 2, 7, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), x =
-u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[-3, -3], [-403851/131072,
-403851/131072], [-195745/131072, -1565959/1048576], [3, 3], [0, 0]]]], [[1, 6
, 6, 6, 1], [v < -2^(1/2), u = v, x = 1, y = 0, z = z], [regular_chain, [[-3,
-3], [-3, -3], [1, 1], [0, 0], [0, 0]]]], [[1, 11, 2, 6, 1], [v < -2^(1/2), 
And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z
= z], [regular_chain, [[-3, -3], [0, 0], [-10, -10], [18, 18], [0, 0]]]], [[1,
12, 5, 2, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = -x-3, z
< -3^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2,
-1/2], [-5/2, -5/2], [-3, -3]]]], [[1, 12, 5, 2, 2], [v < -2^(1/2), u = (v^2-2
)^(1/2), And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [regular_chain, [[-3, -3]
, [2774271/1048576, 10837/4096], [-1/2, -1/2], [-5/2, -5/2], [-1816187/1048576
, -3632373/2097152]]]], [[1, 12, 5, 2, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), 
And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [
[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-5/2, -5/2], [-1/
4194304, -1/4194304]]]], [[1, 12, 5, 2, 4], [v < -2^(1/2), u = (v^2-2)^(1/2),
And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [-1/2, -1/2], [-5/2, -5/2], [908093/524288, 1816187/
1048576]]]], [[1, 12, 5, 2, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x
< 0), y = -x-3, 3^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[1, 18, 5, 5, 1], [v < -2
^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2
], [1/4, 1/4], [-2, -2]]]], [[1, 18, 5, 5, 2], [v < -2^(1/2), u = (v^2+1)^(1/2
), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1
/2]]]], [[1, 18, 5, 5, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0)
, And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain,
[[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]
], [[1, 18, 5, 5, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And
(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 
3315889/1048576], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[1, 18, 5, 5, 5],
[v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)
^(1/2) < z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2
, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 19, 11, 2, 1], [v < -2^(1/2), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-\
4712349/1048576, -1178087/262144], [-3, -3]]]], [[1, 19, 11, 2, 2], [v < -2^(1
/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [2, 2], [-4712349/1048576, -1178087/262144], [-1655969/1048576, -\
3311937/2097152]]]], [[1, 19, 11, 2, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u
^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/
1048576], [2, 2], [-4712349/1048576, -1178087/262144], [-1/4194304, -1/4194304
]]]], [[1, 19, 11, 2, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3
], [3396811/1048576, 3396811/1048576], [2, 2], [-4712349/1048576, -1178087/
262144], [51749/32768, 1655969/1048576]]]], [[1, 19, 11, 2, 5], [v < -2^(1/2),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2
, 2], [-4712349/1048576, -1178087/262144], [3, 3]]]], [[2, 2, 9, 9, 1], [v = -
2^(1/2), u = -2, 1 < x, 0 < y, z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-2, -2], [2, 2], [1, 1], [0, 0]]]], [[2, 4, 4, 2, 1], [v = -2
^(1/2), u = -3^(1/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -\
1], [-1, -1], [-3, -3]]]], [[2, 4, 4, 2, 2], [v = -2^(1/2), u = -3^(1/2), x =
-1, y = -1, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [-1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [-1482911/1048576,
-741455/524288]]]], [[2, 4, 4, 2, 3], [v = -2^(1/2), u = -3^(1/2), x = -1, y =
-1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1, -1], [0,
0]]]], [[2, 4, 4, 2, 4], [v = -2^(1/2), u = -3^(1/2), x = -1, y = -1, z = 2^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[
2, 4, 4, 2, 5], [v = -2^(1/2), u = -3^(1/2), x = -1, y = -1, 2^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-1, -1], [3, 3]]]], [[2, 7, 7, 7, 1], [v = -2^(1/
2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-239655/1048576, -239655/1048576], [239655/2097152, 239655
/2097152], [-2, -2]]]], [[2, 7, 7, 7, 2], [v = -2^(1/2), And(v < u,u < -1), 
And(-u^2+1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [239655/2097152, 239655/2097152], [-354469/
1048576, -88617/262144]]]], [[2, 7, 7, 7, 3], [v = -2^(1/2), And(v < u,u < -1)
, And(-u^2+1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576
, -1265743/1048576], [-239655/1048576, -239655/1048576], [239655/2097152, 
239655/2097152], [0, 0]]]], [[2, 7, 7, 7, 4], [v = -2^(1/2), And(v < u,u < -1)
, And(-u^2+1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [239655/2097152, 239655/2097152], [88617/
262144, 354469/1048576]]]], [[2, 7, 7, 7, 5], [v = -2^(1/2), And(v < u,u < -1)
, And(-u^2+1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [239655/2097152, 239655/2097152], [2, 2]]]],
[[2, 9, 3, 3, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And
(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-15/8, -15/8], [-7/16, -7/16], [-3, -3]]]], [[2
, 9, 3, 3, 2], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(u^
2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-15/8, -15/8], [-7/16, -7/16], [-24915/16384, -\
3189119/2097152]]]], [[2, 9, 3, 3, 3], [v = -2^(1/2), And(-1 < u,u < 0), And(u
^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/
8, -15/8], [-7/16, -7/16], [-1/4194304, -1/4194304]]]], [[2, 9, 3, 3, 4], [v =
-2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(u^2-x-3 < y,y < 0), z
= (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -\
1/2], [-15/8, -15/8], [-7/16, -7/16], [1594559/1048576, 24915/16384]]]], [[2,
9, 3, 3, 5], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), And(u^2-
x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-15/8, -15/8], [-7/16, -7/16], [3, 3]]]], [[2, 13, 5,
8, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = -x, z < 0
], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 
1265743/1048576], [-1527887/2097152, -1527887/2097152], [763943/1048576, 95493
/131072], [-1, -1]]]], [[2, 13, 5, 8, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(-1 < x,x < -u^2+1), y = -x, z = 0], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [763943/1048576, 95493/131072], [0, 0]]]], [[2, 13, 5, 8, 3]
, [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = -x, 0 < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [763943/1048576, 95493/131072]
, [1, 1]]]], [[2, 15, 3, 2, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u
^2+1 < x,x < -1), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [-31113/131072, -248903/1048576], [-3, -3]
]]], [[2, 15, 3, 2, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x
,x < -1), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [-31113/131072, -248903/1048576], [-1273381/
1048576, -318345/262144]]]], [[2, 15, 3, 2, 3], [v = -2^(1/2), And(-v < u,u <
3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^
2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-31113/
131072, -248903/1048576], [0, 0]]]], [[2, 15, 3, 2, 4], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [-31113/131072, -248903/
1048576], [318345/262144, 1273381/1048576]]]], [[2, 15, 3, 2, 5], [v = -2^(1/2
), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y = -u^2-x+1, (u^2-1)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152,
3299097/2097152], [-2594957/2097152, -2594957/2097152], [-31113/131072, -\
248903/1048576], [3, 3]]]], [[3, 1, 7, 8, 1], [And(-2^(1/2) < v,v < -1), u < -
(v^2+2)^(1/2), And(0 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [6336433/1048576, 
3168217/524288], [0, 0]]]], [[3, 3, 1, 4, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z < -
(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [797593/524288, 1595187/
1048576], [-3, -3]]]], [[3, 3, 1, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+
2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
14373233/8388608, -14373233/8388608], [-4, -4], [797593/524288, 1595187/
1048576], [-3301741/2097152, -825435/524288]]]], [[3, 3, 1, 4, 3], [And(-2^(1/
2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y
= -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [797593/524288, 1595187/1048576], [0, 0]]]], [[3,
3, 1, 4, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1
/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -14373233/8388608
], [-4, -4], [797593/524288, 1595187/1048576], [825435/524288, 1650871/1048576
]]]], [[3, 3, 1, 4, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x < -u^2+v^2-1, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [797593/524288, 1595187/1048576], [3, 3]]]], [[3,
7, 7, 7, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [225185/2097152, 225185/2097152], [-2, -2]]]
], [[3, 7, 7, 7, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [225185/2097152, 225185/
2097152], [-171801/524288, -343601/1048576]]]], [[3, 7, 7, 7, 3], [And(-2^(1/2
) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [225185/2097152, 225185/2097152], [0, 0]]]],
[[3, 7, 7, 7, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), 
And(-u^2+v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [225185/2097152, 225185/
2097152], [343601/1048576, 171801/524288]]]], [[3, 7, 7, 7, 5], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(0 <
y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/
1048576], [225185/2097152, 225185/2097152], [2, 2]]]], [[3, 9, 3, 3, 1], [And(
-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1
< x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [-1527887/4194304, -1527887/4194304], [-3, -3]]]], [[3, 9, 3, 3, 2],
[And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-1527887/4194304, -1527887/4194304], [-1516935/
1048576, -758467/524288]]]], [[3, 9, 3, 3, 3], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-
x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/
1048576], [-1527887/4194304, -1527887/4194304], [0, 0]]]], [[3, 9, 3, 3, 4], [
And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v
^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-1812519/
1048576, -1812519/1048576], [-1527887/4194304, -1527887/4194304], [758467/
524288, 1516935/1048576]]]], [[3, 9, 3, 3, 5], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-
x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-1527887/
4194304, -1527887/4194304], [3, 3]]]], [[3, 17, 10, 6, 1], [And(-2^(1/2) < v,v
< -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [3, 3], [6860721/1048576, 3430361/524288],
[0, 0], [0, 0]]]], [[4, 2, 2, 2, 1], [v = -1, u = -3^(1/2), x = -3, y = 0, z <
-3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
3, -3], [0, 0], [-3, -3]]]], [[4, 2, 2, 2, 2], [v = -1, u = -3^(1/2), x = -3,
y = 0, z = -3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/
2097152], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[4, 2, 2
, 2, 3], [v = -1, u = -3^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))],
[regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [0,
0], [-1/4194304, -1/4194304]]]], [[4, 2, 2, 2, 4], [v = -1, u = -3^(1/2), x =
-3, y = 0, z = 3^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[4,
2, 2, 2, 5], [v = -1, u = -3^(1/2), x = -3, y = 0, 3^(1/2) < z], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [0,
0], [3, 3]]]], [[4, 6, 6, 1, 1], [v = -1, u = -1, x = 1, y < -2, z < -(-y-1)^(
1/2)], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3, -3], [-3, -3]]]], [[4
, 6, 6, 1, 2], [v = -1, u = -1, x = 1, y < -2, z = -(-y-1)^(1/2)], [
regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3, -3], [-1482911/1048576, -\
741455/524288]]]], [[4, 6, 6, 1, 3], [v = -1, u = -1, x = 1, y < -2, And(-(-y-\
1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [1, 1],
[-3, -3], [0, 0]]]], [[4, 6, 6, 1, 4], [v = -1, u = -1, x = 1, y < -2, z = (-y
-1)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3, -3], [741455/
524288, 1482911/1048576]]]], [[4, 6, 6, 1, 5], [v = -1, u = -1, x = 1, y < -2,
(-y-1)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-3, -3], [3,
3]]]], [[4, 8, 2, 1, 1], [v = -1, u = 0, x = -2, y < 0, z < -(2-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [-1, -1], [-3, -3]]]], [[4, 8, 2,
1, 2], [v = -1, u = 0, x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[-1,
-1], [0, 0], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/2097152]]]], [[4,
8, 2, 1, 3], [v = -1, u = 0, x = -2, y < 0, And(-(2-y)^(1/2) < z,z < (2-y)^(1/
2))], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [-1, -1], [-1/4194304, -1/
4194304]]]], [[4, 8, 2, 1, 4], [v = -1, u = 0, x = -2, y < 0, z = (2-y)^(1/2)]
, [regular_chain, [[-1, -1], [0, 0], [-2, -2], [-1, -1], [908093/524288, 
1816187/1048576]]]], [[4, 8, 2, 1, 5], [v = -1, u = 0, x = -2, y < 0, (2-y)^(1
/2) < z], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [-1, -1], [3, 3]]]], [[
4, 14, 3, 5, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576
], [-2, -2], [1, 1], [-2, -2]]]], [[4, 14, 3, 5, 2], [v = -1, u = 3^(1/2), And
(-3 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1,
-1], [908093/524288, 1816187/1048576], [-2, -2], [1, 1], [-1, -1]]]], [[4, 14,
3, 5, 3], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [-2, -2], [1, 1], [0, 0]]]], [[4, 14, 3, 5, 4], [v = -1, u =
3^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [1, 1],
[1, 1]]]], [[4, 14, 3, 5, 5], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), And(0
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-2, -2], [1, 1], [2, 2]]]], [[4, 15, 8, 1, 1], [v = -1, 3^(
1/2) < u, x = 1, y < -u^2-1, z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [3
, 3], [1, 1], [-11, -11], [-5, -5]]]], [[4, 15, 8, 1, 2], [v = -1, 3^(1/2) < u
, x = 1, y < -u^2-1, z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [1
, 1], [-11, -11], [-3315889/1048576, -207243/65536]]]], [[4, 15, 8, 1, 3], [v
= -1, 3^(1/2) < u, x = 1, y < -u^2-1, And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))]
, [regular_chain, [[-1, -1], [3, 3], [1, 1], [-11, -11], [0, 0]]]], [[4, 15, 8
, 1, 4], [v = -1, 3^(1/2) < u, x = 1, y < -u^2-1, z = (-y-1)^(1/2)], [
regular_chain, [[-1, -1], [3, 3], [1, 1], [-11, -11], [207243/65536, 3315889/
1048576]]]], [[4, 15, 8, 1, 5], [v = -1, 3^(1/2) < u, x = 1, y < -u^2-1, (-y-1
)^(1/2) < z], [regular_chain, [[-1, -1], [3, 3], [1, 1], [-11, -11], [5, 5]]]]
, [[5, 4, 8, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, y = -3, z <
-2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[1, 1], [-3, -3], [-3, -3]]]], [[5, 4, 8, 2, 2], [And(-1 < v,v < 0), u = -(v^2
+1)^(1/2), x = 1, y = -3, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-3, -3], [-1482911/1048576, -741455
/524288]]]], [[5, 4, 8, 2, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1,
y = -3, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-3, -3], [0, 0]]]], [[5, 4, 8, 2, 4
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1], [-3,
-3], [741455/524288, 1482911/1048576]]]], [[5, 4, 8, 2, 5], [And(-1 < v,v < 0)
, u = -(v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[-1/2, -1/
2], [-146543/131072, -1172343/1048576], [1, 1], [-3, -3], [3, 3]]]], [[5, 6, 2
, 2, 1], [And(-1 < v,v < 0), u = v, x = -1, y = 0, z < -1], [regular_chain, [[
-1/2, -1/2], [-1/2, -1/2], [-1, -1], [0, 0], [-2, -2]]]], [[5, 6, 2, 2, 2], [
And(-1 < v,v < 0), u = v, x = -1, y = 0, z = -1], [regular_chain, [[-1/2, -1/2
], [-1/2, -1/2], [-1, -1], [0, 0], [-1, -1]]]], [[5, 6, 2, 2, 3], [And(-1 < v,
v < 0), u = v, x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2
], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]], [[5, 6, 2, 2, 4], [And(-1 < v,v
< 0), u = v, x = -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2
], [-1, -1], [0, 0], [1, 1]]]], [[5, 6, 2, 2, 5], [And(-1 < v,v < 0), u = v, x
= -1, y = 0, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [0
, 0], [2, 2]]]], [[5, 9, 8, 2, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^
(1/2)), x = 0, y = -u^2+v^2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2
, -1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-736367/524288, -1472733
/1048576], [-3, -3]]]], [[5, 9, 8, 2, 2], [And(-1 < v,v < 0), And(-v < u,u < (
v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain,
[[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0], [-736367/524288, -\
1472733/1048576], [-19417/16384, -1242687/1048576]]]], [[5, 9, 8, 2, 3], [And(
-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2
-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [
1696631/2097152, 1696631/2097152], [0, 0], [-736367/524288, -1472733/1048576],
[0, 0]]]], [[5, 9, 8, 2, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2))
, x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [1696631/2097152, 1696631/2097152], [0, 0], [-736367/524288, -1472733/
1048576], [1242687/1048576, 19417/16384]]]], [[5, 9, 8, 2, 5], [And(-1 < v,v <
0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [0, 0],
[-736367/524288, -1472733/1048576], [3, 3]]]], [[5, 11, 3, 7, 1], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [1029453/524288,
1029453/524288], [0, 0]]]], [[6, 2, 2, 1, 1], [v = 0, u = -2^(1/2), x = -3, y
< 0, z < -(3-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-3, -3], [-1, -1], [-3, -3]]]], [[6, 2, 2, 1, 2], [v = 0, u = -2^(1/
2), x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[0, 0], [-1482911/
1048576, -741455/524288], [-3, -3], [-1, -1], [-2, -2]]]], [[6, 2, 2, 1, 3], [
v = 0, u = -2^(1/2), x = -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [-1, -1]
, [0, 0]]]], [[6, 2, 2, 1, 4], [v = 0, u = -2^(1/2), x = -3, y < 0, z = (3-y)^
(1/2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3],
[-1, -1], [2, 2]]]], [[6, 2, 2, 1, 5], [v = 0, u = -2^(1/2), x = -3, y < 0, (3
-y)^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [
-3, -3], [-1, -1], [3, 3]]]], [[6, 3, 6, 6, 1], [v = 0, And(-2^(1/2) < u,u < -\
1), x = 0, y = u^2-1, z = z], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [0, 0], [239655/524288, 479311/1048576], [0, 0]]]], [[6, 9,
8, 3, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, And(-2*u^2 < y,y < -u^2+1
), z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/
1048576], [239655/524288, 479311/1048576], [-28280675/16777216, -28280675/
16777216], [-3, -3]]]], [[6, 9, 8, 3, 2], [v = 0, And(1 < u,u < 2^(1/2)), x =
u^2-1, And(-2*u^2 < y,y < -u^2+1), z = -(-u^2-y+1)^(1/2)], [regular_chain, [[0
, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [-\
28280675/16777216, -28280675/16777216], [-1162243/1048576, -581121/524288]]]],
[[6, 9, 8, 3, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, And(-2*u^2 < y,y
< -u^2+1), And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [
-28280675/16777216, -28280675/16777216], [0, 0]]]], [[6, 9, 8, 3, 4], [v = 0,
And(1 < u,u < 2^(1/2)), x = u^2-1, And(-2*u^2 < y,y < -u^2+1), z = (-u^2-y+1)^
(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
524288, 479311/1048576], [-28280675/16777216, -28280675/16777216], [581121/
524288, 1162243/1048576]]]], [[6, 9, 8, 3, 5], [v = 0, And(1 < u,u < 2^(1/2)),
x = u^2-1, And(-2*u^2 < y,y < -u^2+1), (-u^2-y+1)^(1/2) < z], [regular_chain,
[[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576],
[-28280675/16777216, -28280675/16777216], [3, 3]]]], [[6, 11, 1, 8, 1], [v = 0
, 2^(1/2) < u, x < -u^2-1, y = u^2-x-1, z = z], [regular_chain, [[0, 0], [3, 3
], [-11, -11], [19, 19], [0, 0]]]], [[7, 3, 11, 4, 1], [And(0 < v,v < 1), And(
-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain,
[[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-2, -2], [-1, -1]]]],
[[7, 3, 11, 4, 2], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), 1 < x, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [2, 2], [-2, -2], [0, 0]]]], [[7, 3, 11, 4, 3], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-2, -2]
, [1, 1]]]], [[7, 5, 6, 7, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -
v), x = u^2-v^2-1, -u^2+v^2+1 < y, z = z], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [2, 2
], [0, 0]]]], [[8, 1, 5, 3, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(-
u^2-x < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1/2
, -1/2], [-17/4, -17/4], [-4, -4]]]], [[8, 1, 5, 3, 2], [v = 1, u < -3^(1/2),
And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain,
[[1, 1], [-3, -3], [-1/2, -1/2], [-17/4, -17/4], [-2285319/1048576, -1142659/
524288]]]], [[8, 1, 5, 3, 3], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(-u^
2-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1,
1], [-3, -3], [-1/2, -1/2], [-17/4, -17/4], [0, 0]]]], [[8, 1, 5, 3, 4], [v =
1, u < -3^(1/2), And(-1 < x,x < 0), And(-u^2-x < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [-17/4, -17/4], [1142659/
524288, 2285319/1048576]]]], [[8, 1, 5, 3, 5], [v = 1, u < -3^(1/2), And(-1 <
x,x < 0), And(-u^2-x < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [
-3, -3], [-1/2, -1/2], [-17/4, -17/4], [4, 4]]]], [[8, 2, 7, 4, 1], [v = 1, u
= -3^(1/2), And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[1, 1], [-\
1816187/1048576, -3632373/2097152], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[8
, 2, 7, 4, 2], [v = 1, u = -3^(1/2), And(0 < x,x < 1), y = -x, z = 0], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2], [-1/
2, -1/2], [0, 0]]]], [[8, 2, 7, 4, 3], [v = 1, u = -3^(1/2), And(0 < x,x < 1),
y = -x, 0 < z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152],
[1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[8, 7, 5, 2, 1], [v = 1, And(-1 < u,u <
0), And(-1 < x,x < -u^2), y = u^2-x-2, z < -(-u^2+2)^(1/2)], [regular_chain, [
[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-9/8, -9/8], [-3, -3]]]], [[8, 7, 5, 2, 2
], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = u^2-x-2, z = -(-u^2+2)
^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-9/8, -9/8], [-\
10837/8192, -1387135/1048576]]]], [[8, 7, 5, 2, 3], [v = 1, And(-1 < u,u < 0),
And(-1 < x,x < -u^2), y = u^2-x-2, And(-(-u^2+2)^(1/2) < z,z < (-u^2+2)^(1/2))
], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-9/8, -9/8], [0, 0]]]
], [[8, 7, 5, 2, 4], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = u^2-
x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8],
[-9/8, -9/8], [1387135/1048576, 10837/8192]]]], [[8, 7, 5, 2, 5], [v = 1, And(
-1 < u,u < 0), And(-1 < x,x < -u^2), y = u^2-x-2, (-u^2+2)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-9/8, -9/8], [3, 3]]]], [
[8, 8, 9, 1, 1], [v = 1, u = 0, 1 < x, y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [0, 0], [2, 2], [-5, -5], [-3, -3]]]], [[8, 8, 9, 1, 2
], [v = 1, u = 0, 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[1, 1]
, [0, 0], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [[8, 8, 9
, 1, 3], [v = 1, u = 0, 1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[1, 1], [0, 0], [2, 2], [-5, -5], [-1/4194304, -1/
4194304]]]], [[8, 8, 9, 1, 4], [v = 1, u = 0, 1 < x, y < -x-2, z = (-x-y)^(1/2
)], [regular_chain, [[1, 1], [0, 0], [2, 2], [-5, -5], [908093/524288, 1816187
/1048576]]]], [[8, 8, 9, 1, 5], [v = 1, u = 0, 1 < x, y < -x-2, (-x-y)^(1/2) <
z], [regular_chain, [[1, 1], [0, 0], [2, 2], [-5, -5], [3, 3]]]], [[8, 14, 9,
2, 1], [v = 1, u = 3^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[
1, 1], [908093/524288, 1816187/1048576], [2, 2], [-5, -5], [-3, -3]]]], [[8, 
14, 9, 2, 2], [v = 1, u = 3^(1/2), 1 < x, y = -x-3, z = -3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [-5, -5], [-\
1816187/1048576, -3632373/2097152]]]], [[8, 14, 9, 2, 3], [v = 1, u = 3^(1/2),
1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [
908093/524288, 1816187/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]]
, [[8, 14, 9, 2, 4], [v = 1, u = 3^(1/2), 1 < x, y = -x-3, z = 3^(1/2)], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [-5, -5], [
908093/524288, 1816187/1048576]]]], [[8, 14, 9, 2, 5], [v = 1, u = 3^(1/2), 1
< x, y = -x-3, 3^(1/2) < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [2, 2], [-5, -5], [3, 3]]]], [[9, 1, 2, 1, 1], [And(1 < v,v < 2^(1/2
)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288
, -8957873/1048576], [-1, -1], [-5, -5]]]], [[9, 1, 2, 1, 2], [And(1 < v,v < 2
^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/
524288, -8957873/1048576], [-1, -1], [-3239217/1048576, -202451/65536]]]], [[9
, 1, 2, 1, 3], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y
< 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/
1048576], [-1, -1], [0, 0]]]], [[9, 1, 2, 1, 4], [And(1 < v,v < 2^(1/2)), u <
-(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288
, -8957873/1048576], [-1, -1], [202451/65536, 3239217/1048576]]]], [[9, 1, 2,
1, 5], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y < 0, (u^
2-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3, -3], [-4478937/524288, -8957873/1048576], [-1, -1], [5, 5]]]], [[9, 5, 5, 3
, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x <
u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [-1470709/4194304, -1470709/4194304], [-3,
-3]]]], [[9, 5, 5, 3, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u <
-v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)
], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-1470709/4194304, -\
1470709/4194304], [-1108163/1048576, -554081/524288]]]], [[9, 5, 5, 3, 3], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2
-1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-1470709/4194304, -\
1470709/4194304], [0, 0]]]], [[9, 5, 5, 3, 4], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y <
0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-\
1470709/4194304, -1470709/4194304], [554081/524288, 1108163/1048576]]]], [[9,
5, 5, 3, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 <
x,x < u^2-v^2-1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [-1470709/4194304, -\
1470709/4194304], [3, 3]]]], [[9, 7, 1, 9, 1], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, -x < y, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3,
-3], [4, 4], [0, 0]]]], [[9, 10, 1, 1, 1], [And(1 < v,v < 2^(1/2)), u = (v^2-1
)^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [-1, -1], [-3, -3
]]]], [[9, 10, 1, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y
< 0, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[354469/524288, 708939/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[9, 10, 1,
1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y < 0, And(-(-x-y)^
(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [354469/524288, 708939/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[9,
10, 1, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y < 0, z = (
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/
524288, 708939/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[9, 10, 1, 1, 5], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [-1, -1], [3, 3]]]], [[9, 11, 7, 2, 1], [And(1 < v,v < 2^(
1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-\
1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [-355399/262144, -1421595/1048576], [-3, -3]]]], [[9, 11, 7, 2, 2], [And(1 <
v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u
^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/
2097152], [-355399/262144, -1421595/1048576], [-1314069/1048576, -328517/
262144]]]], [[9, 11, 7, 2, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,
u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) <
z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576
], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-\
355399/262144, -1421595/1048576], [0, 0]]]], [[9, 11, 7, 2, 4], [And(1 < v,v <
2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2
-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [-355399/262144, -1421595/1048576], [328517/262144, 1314069/1048576]]]], [[9
, 11, 7, 2, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^
2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-\
450371/2097152, -450371/2097152], [-355399/262144, -1421595/1048576], [3, 3]]]
], [[9, 16, 2, 7, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, 4 <
y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536,
1949649/1048576], [-3, -3], [5, 5], [0, 0]]]], [[9, 17, 7, 1, 1], [And(1 < v,v
< 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z < -(-x-y)
^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/
2], [-11, -11], [-5, -5]]]], [[9, 17, 7, 1, 2], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/2, 1/2], [-11,
-11], [-3397775/1048576, -1698887/524288]]]], [[9, 17, 7, 1, 3], [And(1 < v,v
< 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, And(-(-x-y)
^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [1/2, 1/2], [-11, -11], [0, 0]]]], [[9, 17, 7, 1, 4], [And(1
< v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1, z = (
-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [1/
2, 1/2], [-11, -11], [1698887/524288, 3397775/1048576]]]], [[9, 17, 7, 1, 5],
[And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, And(0 < x,x < 1), y < -u^2+v^2-x-1
, (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3,
3], [1/2, 1/2], [-11, -11], [5, 5]]]], [[10, 6, 1, 2, 1], [v = 2^(1/2), u = -v
, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [-3, -3]]]], [
[10, 6, 1, 2, 2], [v = 2^(1/2), u = -v, x < -1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -741455/
524288], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[10, 6, 1,
2, 3], [v = 2^(1/2), u = -v, x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2)
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1482911/1048576, -\
741455/524288], [-2, -2], [0, 0], [0, 0]]]], [[10, 6, 1, 2, 4], [v = 2^(1/2),
u = -v, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [
741455/524288, 1482911/1048576]]]], [[10, 6, 1, 2, 5], [v = 2^(1/2), u = -v, x
< -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576
], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [3, 3]]]], [[10, 7, 9
, 1, 1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y < u^2-x-3, z <
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-4, -4], [-3, -3]]]], [[10, 7, 9, 1,
2], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y < u^2-x-3, z = -(-x-
y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [1/2, 1/2], [-4, -4], [-7846825/4194304, -980853/
524288]]]], [[10, 7, 9, 1, 3], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x <
1), y < u^2-x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1
/2], [-4, -4], [0, 0]]]], [[10, 7, 9, 1, 4], [v = 2^(1/2), And(-v < u,u < -1),
And(0 < x,x < 1), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
4, -4], [980853/524288, 1961707/1048576]]]], [[10, 7, 9, 1, 5], [v = 2^(1/2),
And(-v < u,u < -1), And(0 < x,x < 1), y < u^2-x-3, (-x-y)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-4, -4], [3, 3]]]], [[10, 12, 1, 1, 1], [v = 2^(1/2), u
= 1, x < -2, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1, 1], [-3, -3], [-1, -1], [-3, -3]]]], [[10, 12, 1, 1, 2],
[v = 2^(1/2), u = 1, x < -2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1, 1], [-3, -3], [-1, -1], [-2, -2]]]], [[10
, 12, 1, 1, 3], [v = 2^(1/2), u = 1, x < -2, y < 0, And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1, 1], [-3
, -3], [-1, -1], [0, 0]]]], [[10, 12, 1, 1, 4], [v = 2^(1/2), u = 1, x < -2, y
< 0, z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1,
1], [-3, -3], [-1, -1], [2, 2]]]], [[10, 12, 1, 1, 5], [v = 2^(1/2), u = 1, x
< -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1, 1], [-3, -3], [-1, -1], [3, 3]]]], [[10, 13, 7, 2, 1], [v = 2^(1
/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y = u^2-x-3, z < -(-u^2+3)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-239655/1048576, -239655/1048576], [-1378187/1048576, -\
689093/524288], [-3, -3]]]], [[10, 13, 7, 2, 2], [v = 2^(1/2), And(1 < u,u < v
), And(-u^2+1 < x,x < 0), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655
/1048576, -239655/1048576], [-1378187/1048576, -689093/524288], [-1302471/
1048576, -651235/524288]]]], [[10, 13, 7, 2, 3], [v = 2^(1/2), And(1 < u,u < v
), And(-u^2+1 < x,x < 0), y = u^2-x-3, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-239655/1048576, -239655/1048576], [-1378187/1048576, -\
689093/524288], [0, 0]]]], [[10, 13, 7, 2, 4], [v = 2^(1/2), And(1 < u,u < v),
And(-u^2+1 < x,x < 0), y = u^2-x-3, z = (-u^2+3)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/
1048576, -239655/1048576], [-1378187/1048576, -689093/524288], [651235/524288,
1302471/1048576]]]], [[10, 13, 7, 2, 5], [v = 2^(1/2), And(1 < u,u < v), And(-
u^2+1 < x,x < 0), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655/1048576
, -239655/1048576], [-1378187/1048576, -689093/524288], [3, 3]]]], [[11, 3, 2,
2, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-\
1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-3, -3]]]], [[
11, 3, 2, 2, 2], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
-u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-3396811
/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-\
1655969/1048576, -3311937/2097152]]]], [[11, 3, 2, 2, 3], [2^(1/2) < v, And(-(
v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^
(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-2615197/1048576, -653799/262144], [0, 0], [-1/4194304, -1
/4194304]]]], [[11, 3, 2, 2, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
3, 3], [-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144
], [0, 0], [51749/32768, 1655969/1048576]]]], [[11, 3, 2, 2, 5], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)
^(1/2) < z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-\
2615197/1048576, -653799/262144], [0, 0], [3, 3]]]], [[11, 4, 5, 2, 1], [2^(1/
2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, z < -2^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/2
, -3/2], [-3, -3]]]], [[11, 4, 5, 2, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And
(-1 < x,x < 0), y = -x-2, z = -2^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [-3/2, -3/2], [-1482911/1048576, -\
741455/524288]]]], [[11, 4, 5, 2, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1
< x,x < 0), y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/2, -3/2], [0, 0]]]], [[11
, 4, 5, 2, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2,
z = 2^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/
2, -1/2], [-3/2, -3/2], [741455/524288, 1482911/1048576]]]], [[11, 4, 5, 2, 5]
, [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x-2, 2^(1/2) < z],
[regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3/
2, -3/2], [3, 3]]]], [[11, 9, 3, 8, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [2372417/1048576, 1186209/524288], [0, 0]]]], [[11
, 10, 5, 7, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), And(-x <
y,y < 1-x), z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/
1048576], [-1/2, -1/2], [1, 1], [0, 0]]]], [[11, 16, 2, 5, 1], [2^(1/2) < v, u
= v, x = -1, 1 < y, z = z], [regular_chain, [[3, 3], [3, 3], [-1, -1], [2, 2],
[0, 0]]]], [[11, 17, 10, 2, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851
/131072, 403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [-3, -3]]
]], [[11, 17, 10, 2, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y
= -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [403851/131072
, 403851/131072], [1, 1], [-326817/131072, -2614535/1048576], [-1281417/
1048576, -160177/131072]]]], [[11, 17, 10, 2, 3], [2^(1/2) < v, And(v < u,u <
(v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2
+1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1],
[-326817/131072, -2614535/1048576], [0, 0]]]], [[11, 17, 10, 2, 4], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-326817/
131072, -2614535/1048576], [160177/131072, 1281417/1048576]]]], [[11, 17, 10,
2, 5], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2
-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [
1, 1], [-326817/131072, -2614535/1048576], [3, 3]]]], [[1, 2, 3, 8, 1], [v < -
2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 1-x, z = z], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [3, 3
], [0, 0]]]], [[1, 3, 8, 4, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[-3, -3],
[-3396811/1048576, -3396811/1048576], [129511/262144, 518045/1048576], [-\
518045/1048576, -129511/262144], [-1, -1]]]], [[1, 3, 8, 4, 2], [v < -2^(1/2),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z =
0], [regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/
262144, 518045/1048576], [-518045/1048576, -129511/262144], [0, 0]]]], [[1, 3,
8, 4, 3], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = u^2-v
^2-1, y = -u^2+v^2+1, 0 < z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [129511/262144, 518045/1048576], [-518045/1048576, -129511/
262144], [1, 1]]]], [[1, 8, 4, 2, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -\
1, y = -1, z < -2^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [-1, -1], [-3, -3]]]], [[1, 8, 4, 2, 2], [v < -2^
(1/2), u = -(v^2-1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[-3
, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1, -1], [-1482911/
1048576, -741455/524288]]]], [[1, 8, 4, 2, 3], [v < -2^(1/2), u = -(v^2-1)^(1/
2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-3, -3],
[-2965821/1048576, -11863283/4194304], [-1, -1], [-1, -1], [0, 0]]]], [[1, 8,
4, 2, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-1
, -1], [741455/524288, 1482911/1048576]]]], [[1, 8, 4, 2, 5], [v < -2^(1/2), u
= -(v^2-1)^(1/2), x = -1, y = -1, 2^(1/2) < z], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-1, -1], [-1, -1], [3, 3]]]], [[1, 9, 10
, 1, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y <
u^2-v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608,
-22960369/8388608], [1, 1], [-5, -5], [-3, -3]]]], [[1, 9, 10, 1, 2], [v < -2^
(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, z = -
(-y-1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/
8388608], [1, 1], [-5, -5], [-2, -2]]]], [[1, 9, 10, 1, 3], [v < -2^(1/2), And
(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, And(-(-y-1)^(1/
2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-3, -3], [-22960369/8388608, -\
22960369/8388608], [1, 1], [-5, -5], [0, 0]]]], [[1, 9, 10, 1, 4], [v < -2^(1/
2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, z = (-y-\
1)^(1/2)], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608],
[1, 1], [-5, -5], [2, 2]]]], [[1, 9, 10, 1, 5], [v < -2^(1/2), And(-(v^2-1)^(1
/2) < u,u < -(v^2-2)^(1/2)), x = 1, y < u^2-v^2-2, (-y-1)^(1/2) < z], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [1, 1], [-5,
-5], [3, 3]]]], [[1, 15, 5, 9, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v
), And(-1 < x,x < -u^2+v^2-1), -x < y, z = z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [2, 2], [
0, 0]]]], [[1, 17, 3, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And
(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-258691/2097152, -258691/2097152], [-3, -3]]]], [[1, 17, 3,
3, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-258691
/2097152, -258691/2097152], [-1227355/1048576, -613677/524288]]]], [[1, 17, 3,
3, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1
), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-2614535/2097152, -\
2614535/2097152], [-258691/2097152, -258691/2097152], [0, 0]]]], [[1, 17, 3, 3
, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1)
, And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/
2097152, -258691/2097152], [613677/524288, 1227355/1048576]]]], [[1, 17, 3, 3,
5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-2614535/2097152, -2614535/2097152], [-258691/
2097152, -258691/2097152], [3, 3]]]], [[1, 21, 5, 6, 1], [v < -2^(1/2), (v^2+2
)^(1/2) < u, And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3, -3], [5,
5], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]], [[1, 21, 5, 6, 2], [v < -2^(1/2), (
v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3]
, [5, 5], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 21, 5, 6, 3], [v < -2^(1/2
), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3,
-3], [5, 5], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[2, 1, 8, 2, 1], [v = -2^(1
/2), u < -2, x = 1, y = -u^2, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1, 1], [-9, -9], [-4, -4]]]], [[2, 1, 8,
2, 2], [v = -2^(1/2), u < -2, x = 1, y = -u^2, z = -(u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-9, -9]
, [-2965821/1048576, -11863283/4194304]]]], [[2, 1, 8, 2, 3], [v = -2^(1/2), u
< -2, x = 1, y = -u^2, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-9, -9]
, [-3/8388608, -3/8388608]]]], [[2, 1, 8, 2, 4], [v = -2^(1/2), u < -2, x = 1,
y = -u^2, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3, -3], [1, 1], [-9, -9], [741455/262144, 2965821/1048576]]]], [[2,
1, 8, 2, 5], [v = -2^(1/2), u < -2, x = 1, y = -u^2, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3], [1, 1], [-9, -9]
, [4, 4]]]], [[2, 10, 4, 8, 1], [v = -2^(1/2), u = 0, x = -1, y = 2, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1, -1], [2, 2],
[0, 0]]]], [[2, 11, 9, 6, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,
x < 1), y = -u^2-x+1, z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [7/8, 7/8], [-1/8, -1/8], [0, 0]]]], [[2, 16, 5, 4, 1], [
v = -2^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[2, 16, 5, 4, 2], [v = -2^(1/2),
u = 3^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2, -1/
2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 16, 5, 4, 3], [v = -2
^(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 
1816187/1048576], [-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 16, 5, 4, 4], [v = -2^
(1/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain,
[[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2,
-1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[2, 16, 5, 4, 5], [v = -2^(1
/2), u = 3^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [
[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [-1/2, -\
1/2], [0, 0], [2, 2]]]], [[2, 17, 11, 1, 1], [v = -2^(1/2), And(3^(1/2) < u,u
< 2), 1 < x, y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [2, 2], [-6, -6]
, [-3, -3]]]], [[2, 17, 11, 1, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 <
x, y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3913339/2097152, 3913339/2097152], [2, 2], [-6, -6], [-2, -2]
]]], [[2, 17, 11, 1, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y < -u^
2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [2, 2], [-6, -6]
, [0, 0]]]], [[2, 17, 11, 1, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x,
y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [2, 2], [-6, -6], [2, 2]]]], [[2,
17, 11, 1, 5], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y < -u^2-x+1, (-x
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [3913339/
2097152, 3913339/2097152], [2, 2], [-6, -6], [3, 3]]]], [[3, 4, 3, 6, 1], [And
(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [3/2, 3/2], [-1, -1]]]], [[3, 4, 3, 6, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, z =
0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[3, 4, 3, 6, 3], [And(
-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-3/2, -3/2], [3/2, 3/2], [1, 1]]]], [[3, 5, 9, 7, 1], [And(
-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 < x,x < 1), And(-x
< y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3,
10, 5, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0),
And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [1/4, 1/4], [
-2, -2]]]], [[3, 10, 5, 5, 2], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1
/2], [1/4, 1/4], [-1/2, -1/2]]]], [[3, 10, 5, 5, 3], [And(-2^(1/2) < v,v < -1)
, u = (v^2-1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) <
z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[3, 10,
5, 5, 4], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), And(-1 < x,x < 0), And
(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1/2], [1/4, 1/4], [
1/2, 1/2]]]], [[3, 10, 5, 5, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2),
And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [-1/2, -1
/2], [1/4, 1/4], [2, 2]]]], [[3, 11, 11, 2, 1], [And(-2^(1/2) < v,v < -1), And
((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341
/1048576], [2, 2], [-3743933/1048576, -7487865/2097152], [-3, -3]]]], [[3, 11,
11, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y
= u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-3743933/1048576,
-7487865/2097152], [-1314069/1048576, -328517/262144]]]], [[3, 11, 11, 2, 3],
[And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x
-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[-3743933/1048576, -7487865/2097152], [0, 0]]]], [[3, 11, 11, 2, 4], [And(-2^(
1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z = (
-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [-3743933/1048576, -7487865/2097152],
[328517/262144, 1314069/1048576]]]], [[3, 11, 11, 2, 5], [And(-2^(1/2) < v,v <
-1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576,
987341/1048576], [2, 2], [-3743933/1048576, -7487865/2097152], [3, 3]]]], [[3,
15, 4, 5, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [1/2, 1/
2], [-2, -2]]]], [[3, 15, 4, 5, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[3, 15
, 4, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1/2, 1/2], [0, 0]]]], [[3, 15, 4, 5, 4], [And(-2^(1/2) < v
,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1),
z = (1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/
65536]]]], [[3, 15, 4, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u
,u < (v^2+2)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[3, 16, 7, 1, 1], [And(-2^(1/2) < v
,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [1/2, 1/2], [-5, -5], [-4, -4]]]], [[3, 16, 7, 1, 2], [And(-2^(1/2)
< v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = -(-x-y)^(1/2)]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [-5, -5], [-1112183/524288, -2224365/1048576]]]]
, [[3, 16, 7, 1, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x
< 1), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2
], [-5, -5], [0, 0]]]], [[3, 16, 7, 1, 4], [And(-2^(1/2) < v,v < -1), u = (v^2
+2)^(1/2), And(0 < x,x < 1), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [1/2, 1/2
], [-5, -5], [2224365/1048576, 1112183/524288]]]], [[3, 16, 7, 1, 5], [And(-2^
(1/2) < v,v < -1), u = (v^2+2)^(1/2), And(0 < x,x < 1), y < -x-3, (-x-y)^(1/2)
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [1/2, 1/2], [-5, -5], [4, 4]]]], [[4, 3, 7, 8, 1], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = u^2-x-2, z = z], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [248903/1048576, 31113/131072], [0, 0]]]], [[4, 5, 3
, 4, 1], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = 0, z < -
(-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-1288231/1048576, -1288231/1048576], [0, 0], [-3, -3]]]], [[4, 5, 3, 4, 2], [
v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = 0, z = -(-x)^(1/2)
], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1288231/
1048576, -1288231/1048576], [0, 0], [-1162243/1048576, -581121/524288]]]], [[4
, 5, 3, 4, 3], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -1), y = 0,
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1, -1], [-1265743/
1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [0,
0]]]], [[4, 5, 3, 4, 4], [v = -1, And(-2^(1/2) < u,u < -1), And(-u^2 < x,x < -\
1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1288231/1048576, -1288231/1048576], [0, 0], [581121/524288
, 1162243/1048576]]]], [[4, 5, 3, 4, 5], [v = -1, And(-2^(1/2) < u,u < -1), 
And(-u^2 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1288231/1048576, -1288231/1048576], [0,
0], [3, 3]]]], [[4, 11, 6, 2, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2,
y = -2*u^2+2, z < -u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1138531/2097152, -569265/1048576], [-1917243/2097152, -7668971/
8388608], [-3, -3]]]], [[4, 11, 6, 2, 2], [v = -1, And(1 < u,u < 2^(1/2)), x =
u^2-2, y = -2*u^2+2, z = -u], [regular_chain, [[-1, -1], [1265743/1048576, 
1265743/1048576], [-1138531/2097152, -569265/1048576], [-1917243/2097152, -\
7668971/8388608], [-1265743/1048576, -1265743/1048576]]]], [[4, 11, 6, 2, 3],
[v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = -2*u^2+2, And(-u < z,z < u)],
[regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608], [0, 0]]]], [[
4, 11, 6, 2, 4], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y = -2*u^2+2, z =
u], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [-1917243/2097152, -7668971/8388608], [1265743/
1048576, 1265743/1048576]]]], [[4, 11, 6, 2, 5], [v = -1, And(1 < u,u < 2^(1/2
)), x = u^2-2, y = -2*u^2+2, u < z], [regular_chain, [[-1, -1], [1265743/
1048576, 1265743/1048576], [-1138531/2097152, -569265/1048576], [-1917243/
2097152, -7668971/8388608], [3, 3]]]], [[4, 13, 1, 7, 1], [v = -1, And(2^(1/2)
< u,u < 3^(1/2)), x < -u^2, And(-x < y,y < u^2-x-2), z = z], [regular_chain, [
[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [8886413/2097152, 
8886413/2097152], [0, 0]]]], [[5, 1, 11, 5, 1], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), u^2-v^2-1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain,
[[-1/2, -1/2], [-3, -3], [9, 9], [-41/8, -41/8], [0, 0]]]], [[5, 3, 5, 1, 1],
[And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [-3, -3], [-3, -3]]]], [[5, 3, 5
, 1, 2], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-\
1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-343151/262144, -343151/262144], [-1/2, -1/2], [-3, -3], [-7846825/
4194304, -980853/524288]]]], [[5, 3, 5, 1, 3], [And(-1 < v,v < 0), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x
-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[5, 3, 5, 1, 4],
[And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(-1 < x,x <
0), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1/2, -1/2], [-3, -3], [980853/524288, 
1961707/1048576]]]], [[5, 3, 5, 1, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z
], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1/2, -1/
2], [-3, -3], [3, 3]]]], [[5, 12, 5, 1, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1
/2), And(-1 < x,x < 0), y < -x-3, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [3/2, 3/2], [-1/2, -1/2], [-4, -4], [-4, -4]]]], [[5, 12, 5, 1, 2], [
And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, z = -(-x-y)
^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-4, -4], [-\
1112183/524288, -2224365/1048576]]]], [[5, 12, 5, 1, 3], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)
^(1/2))], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-4, -4], [
0, 0]]]], [[5, 12, 5, 1, 4], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x
,x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2
], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288]]]], [[5, 12, 5, 1
, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y < -x-3, (-x-
y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [-4, -\
4], [4, 4]]]], [[5, 13, 9, 6, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1
< x,x < u^2-v^2-1), y = 0, z = z], [regular_chain, [[-1/2, -1/2], [3, 3], [35/
8, 35/8], [0, 0], [0, 0]]]], [[6, 5, 1, 4, 1], [v = 0, And(-1 < u,u < 0), x <
-u^2-1, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/
2], [-3, -3], [7/4, 7/4], [-3, -3]]]], [[6, 5, 1, 4, 2], [v = 0, And(-1 < u,u
< 0), x < -u^2-1, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0],
[-1/2, -1/2], [-3, -3], [7/4, 7/4], [-146543/131072, -1172343/1048576]]]], [[6
, 5, 1, 4, 3], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = -u^2-x-1, And(-(u^2+
1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [[0, 0], [-1/2, -1/2], [-3,
-3], [7/4, 7/4], [0, 0]]]], [[6, 5, 1, 4, 4], [v = 0, And(-1 < u,u < 0), x < -
u^2-1, y = -u^2-x-1, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2]
, [-3, -3], [7/4, 7/4], [1172343/1048576, 146543/131072]]]], [[6, 5, 1, 4, 5],
[v = 0, And(-1 < u,u < 0), x < -u^2-1, y = -u^2-x-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [7/4, 7/4], [3, 3]]]], [[6, 6,
5, 1, 1], [v = 0, u = 0, And(0 < x,x < 1), y < -1-x, z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-3, -3], [-3, -3]]]], [[6, 6, 5,
1, 2], [v = 0, u = 0, And(0 < x,x < 1), y < -1-x, z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-3, -3], [-3315889/2097152, -\
207243/131072]]]], [[6, 6, 5, 1, 3], [v = 0, u = 0, And(0 < x,x < 1), y < -1-x
, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0, 0], [0, 0], [
1/2, 1/2], [-3, -3], [0, 0]]]], [[6, 6, 5, 1, 4], [v = 0, u = 0, And(0 < x,x <
1), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2],
[-3, -3], [207243/131072, 1657945/1048576]]]], [[6, 6, 5, 1, 5], [v = 0, u = 0
, And(0 < x,x < 1), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [0,
0], [1/2, 1/2], [-3, -3], [3, 3]]]], [[7, 1, 3, 4, 1], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8], [0, 0], [-4, -4]]]], [[7
, 1, 3, 4, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -\
1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -\
43/8], [0, 0], [-151939/65536, -2431023/1048576]]]], [[7, 1, 3, 4, 3], [And(0
< v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(
1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/
8], [0, 0], [0, 0]]]], [[7, 1, 3, 4, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2)
, And(-u^2+v^2-1 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[1/2, 1
/2], [-3, -3], [-43/8, -43/8], [0, 0], [2431023/1048576, 151939/65536]]]], [[7
, 1, 3, 4, 5], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -\
1), y = 0, (-x)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43
/8], [0, 0], [4, 4]]]], [[7, 2, 5, 7, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2
), And(-1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [-1/2, -1/2], [1, 1], [0, 0]]]], [[7, 7, 3, 3, 1], [And(0 < v,
v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y <
0), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-1
/16, -1/16], [-3, -3]]]], [[7, 7, 3, 3, 2], [And(0 < v,v < 1), And(-v < u,u <
v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-1/16, -1/16], [-285665/
262144, -1142659/1048576]]]], [[7, 7, 3, 3, 3], [And(0 < v,v < 1), And(-v < u,
u < v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), And(-(-x-y)^(1/
2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8],
[-1/16, -1/16], [0, 0]]]], [[7, 7, 3, 3, 4], [And(0 < v,v < 1), And(-v < u,u <
v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-1/16, -1/16], [1142659/
1048576, 285665/262144]]]], [[7, 7, 3, 3, 5], [And(0 < v,v < 1), And(-v < u,u
< v), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [-1/16, -1/16], [3, 3]]]]
, [[7, 8, 7, 2, 1], [And(0 < v,v < 1), u = v, 1 < x, y = -1-x, z < -1], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-3, -3], [-2, -2]]]], [[7, 8,
7, 2, 2], [And(0 < v,v < 1), u = v, 1 < x, y = -1-x, z = -1], [regular_chain,
[[1/2, 1/2], [1/2, 1/2], [2, 2], [-3, -3], [-1, -1]]]], [[7, 8, 7, 2, 3], [And
(0 < v,v < 1), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [regular_chain, [[1
/2, 1/2], [1/2, 1/2], [2, 2], [-3, -3], [0, 0]]]], [[7, 8, 7, 2, 4], [And(0 <
v,v < 1), u = v, 1 < x, y = -1-x, z = 1], [regular_chain, [[1/2, 1/2], [1/2, 1
/2], [2, 2], [-3, -3], [1, 1]]]], [[7, 8, 7, 2, 5], [And(0 < v,v < 1), u = v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-3,
-3], [2, 2]]]], [[7, 11, 10, 4, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, y = -1, z < 0], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1, 1], [-1, -1], [-1, -1]]]], [[7, 11, 10, 4, 2], [
And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 1, y = -1, z =
0], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [1, 1], [-1,
-1], [0, 0]]]], [[7, 11, 10, 4, 3], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1, 1], [-1, -1], [1, 1]]]], [[7, 13, 3, 5, 1], [And(0
< v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [43/
16, 43/16], [-3, -3]]]], [[7, 13, 3, 5, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) <
u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [-3437987/
2097152, -1718993/1048576]]]], [[7, 13, 3, 5, 3], [And(0 < v,v < 1), (v^2+2)^(
1/2) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [43/
16, 43/16], [0, 0]]]], [[7, 13, 3, 5, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u
, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [1718993/
1048576, 859497/524288]]]], [[7, 13, 3, 5, 5], [And(0 < v,v < 1), (v^2+2)^(1/2
) < u, And(-u^2+v^2-1 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [43/16, 43/16], [3, 3]]]],
[[8, 4, 2, 5, 1], [v = 1, u = -2^(1/2), x = -2, 2 < y, z = z], [regular_chain,
[[1, 1], [-1482911/1048576, -741455/524288], [-2, -2], [3, 3], [0, 0]]]], [[8,
5, 8, 4, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y = u^2-2, z < -(-u^2+2)
^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0]
, [-1138531/2097152, -569265/1048576], [-2, -2]]]], [[8, 5, 8, 4, 2], [v = 1,
And(-2^(1/2) < u,u < -1), x = 0, y = u^2-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
1138531/2097152, -569265/1048576], [-772605/1048576, -1545209/2097152]]]], [[8
, 5, 8, 4, 3], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y = u^2-2, And(-(-u^2+
2)^(1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576], [-1/4194304, -\
1/4194304]]]], [[8, 5, 8, 4, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y =
u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576], [193151/262144,
772605/1048576]]]], [[8, 5, 8, 4, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 0,
y = u^2-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-1138531/2097152, -569265/1048576], [2, 2]]]], [[8,
12, 1, 1, 1], [v = 1, u = 2^(1/2), x < -2, y < 0, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3], [-1, -1],
[-3, -3]]]], [[8, 12, 1, 1, 2], [v = 1, u = 2^(1/2), x < -2, y < 0, z = -(-x-y
)^(1/2)], [regular_chain, [[1, 1], [741455/524288, 1482911/1048576], [-3, -3],
[-1, -1], [-2, -2]]]], [[8, 12, 1, 1, 3], [v = 1, u = 2^(1/2), x < -2, y < 0,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [741455/
524288, 1482911/1048576], [-3, -3], [-1, -1], [0, 0]]]], [[8, 12, 1, 1, 4], [v
= 1, u = 2^(1/2), x < -2, y < 0, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [
741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[8, 12, 1, 1,
5], [v = 1, u = 2^(1/2), x < -2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [[1
, 1], [741455/524288, 1482911/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[8, 13
, 7, 2, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y = -u
^2-x, z < -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [
497805/2097152, 497805/2097152], [-5687721/2097152, -710965/262144], [-3, -3]]
]], [[8, 13, 7, 2, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2
-2), y = -u^2-x, z = -u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [497805/2097152, 497805/2097152], [-5687721/2097152, -710965/262144]
, [-3299097/2097152, -3299097/2097152]]]], [[8, 13, 7, 2, 3], [v = 1, And(2^(1
/2) < u,u < 3^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, And(-u < z,z < u)], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152, 
497805/2097152], [-5687721/2097152, -710965/262144], [-1/4194304, -1/4194304]]
]], [[8, 13, 7, 2, 4], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), And(0 < x,x < u^2
-2), y = -u^2-x, z = u], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [497805/2097152, 497805/2097152], [-5687721/2097152, -710965/262144]
, [412387/262144, 1649549/1048576]]]], [[8, 13, 7, 2, 5], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), And(0 < x,x < u^2-2), y = -u^2-x, u < z], [regular_chain, [[
1, 1], [3299097/2097152, 3299097/2097152], [497805/2097152, 497805/2097152], [
-5687721/2097152, -710965/262144], [3, 3]]]], [[9, 2, 5, 9, 1], [And(1 < v,v <
2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), 1-x < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [3, 3], [0, 0]]]], [[9, 3, 10, 3, 1], [And(1 <
v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^
2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-4696269/
2097152, -4696269/2097152], [-3, -3]]]], [[9, 3, 10, 3, 2], [And(1 < v,v < 2^(
1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2-2 < y,y
< -1), z = -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-14373233/8388608, -14373233/8388608], [1, 1], [-4696269/2097152, -4696269/
2097152], [-583671/524288, -1167341/1048576]]]], [[9, 3, 10, 3, 3], [And(1 < v
,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+v^2
-2 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1,
1], [-4696269/2097152, -4696269/2097152], [0, 0]]]], [[9, 3, 10, 3, 4], [And(1
< v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, And(-u^2+
v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-4696269/
2097152, -4696269/2097152], [1167341/1048576, 583671/524288]]]], [[9, 3, 10, 3
, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x =
1, And(-u^2+v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-\
4696269/2097152, -4696269/2097152], [3, 3]]]], [[9, 13, 3, 9, 1], [And(1 < v,v
< 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), And(-u^2+v^2-1 < x,x < -1), -x < y,
z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-2587387/2097152, -2587387/2097152], [3, 3], [0, 0]]]], [[9
, 14, 7, 4, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1),
y = -x, z < 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[9, 14, 7, 4,
2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, z =
0], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[9, 14, 7, 4, 3], [And(1
< v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[10, 1, 8, 8, 1], [v = 2^(1/2),
u < -2, x = 1, y = u^2-4, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [1, 1], [5, 5], [0, 0]]]], [[10, 3, 1, 9, 1], [v = 2^(1/2)
, And(-2 < u,u < -3^(1/2)), x < -u^2+1, u^2-x-3 < y, z = z], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-4, -\
4], [6, 6], [0, 0]]]], [[10, 9, 4, 1, 1], [v = 2^(1/2), And(-1 < u,u < 0), x =
-1, y < u^2-2, z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1, -1], [-3, -3], [-3, -3]]]], [[10, 9, 4, 1, 2], [v
= 2^(1/2), And(-1 < u,u < 0), x = -1, y < u^2-2, z = -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [-3,
-3], [-2, -2]]]], [[10, 9, 4, 1, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = -1,
y < u^2-2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [-3, -3], [0, 0]]]], [[10, 9
, 4, 1, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, y < u^2-2, z = (1-y)^(1/2
)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1],
[-3, -3], [2, 2]]]], [[10, 9, 4, 1, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = -\
1, y < u^2-2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1, -1], [-3, -3], [3, 3]]]], [[10, 10, 5, 9, 1], [v
= 2^(1/2), u = 0, And(-1 < x,x < 0), 1-x < y, z = z], [regular_chain, [[741455
/524288, 1482911/1048576], [0, 0], [-1/2, -1/2], [3, 3], [0, 0]]]], [[10, 15,
3, 7, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(u^
2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -\
2594957/2097152], [2044187/2097152, 2044187/2097152], [-2, -2]]]], [[10, 15, 3
, 7, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(u^2
-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [2044187/2097152, 2044187/2097152], [-268683/524288, -1074731/
2097152]]]], [[10, 15, 3, 7, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^
2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 
3299097/2097152], [-2594957/2097152, -2594957/2097152], [2044187/2097152, 
2044187/2097152], [-1/4194304, -1/4194304]]]], [[10, 15, 3, 7, 4], [v = 2^(1/2
), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(u^2-x-3 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [2044187/
2097152, 2044187/2097152], [537365/1048576, 268683/524288]]]], [[10, 15, 3, 7,
5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), And(u^2-x-3
< y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [2044187/2097152, 2044187/2097152], [2, 2]]]], [[10, 16, 7, 2, 1], [
v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = -x-2, z < -2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-5/2, -5/2], [-3, -3]]]], [[10, 16, 7, 2, 2], [v = 2^(1
/2), u = 3^(1/2), And(0 < x,x < 1), y = -x-2, z = -2^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1/2, 1/2]
, [-5/2, -5/2], [-1482911/1048576, -741455/524288]]]], [[10, 16, 7, 2, 3], [v
= 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = -x-2, And(-2^(1/2) < z,z < 2^(1/
2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [1/2, 1/2], [-5/2, -5/2], [0, 0]]]], [[10, 16, 7, 2, 4], [v
= 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = -x-2, z = 2^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1/2, 1/2], [-5/2, -5/2], [741455/524288, 1482911/1048576]]]], [[10,
16, 7, 2, 5], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = -x-2, 2^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187
/1048576], [1/2, 1/2], [-5/2, -5/2], [3, 3]]]], [[10, 19, 7, 1, 1], [v = 2^(1/
2), 2 < u, And(0 < x,x < 1), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-10, -10], [-5, -5]]]]
, [[10, 19, 7, 1, 2], [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y < -u^2-x+1, z =
-(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [1/
2, 1/2], [-10, -10], [-3231929/1048576, -403991/131072]]]], [[10, 19, 7, 1, 3]
, [v = 2^(1/2), 2 < u, And(0 < x,x < 1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [
1/2, 1/2], [-10, -10], [0, 0]]]], [[10, 19, 7, 1, 4], [v = 2^(1/2), 2 < u, And
(0 < x,x < 1), y < -u^2-x+1, z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [1/2, 1/2], [-10, -10], [403991/131072, 
3231929/1048576]]]], [[10, 19, 7, 1, 5], [v = 2^(1/2), 2 < u, And(0 < x,x < 1)
, y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [1/2, 1/2], [-10, -10], [5, 5]]]], [[11, 1, 8, 9, 1], [2^(1/
2) < v, u < -(v^2+2)^(1/2), x = 1, u^2-v^2-2 < y, z = z], [regular_chain, [[3,
3], [-5, -5], [1, 1], [15, 15], [0, 0]]]], [[11, 6, 1, 2, 1], [2^(1/2) < v, u
= -v, x < -1, y = 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2,
-2], [0, 0], [-3, -3]]]], [[11, 6, 1, 2, 2], [2^(1/2) < v, u = -v, x < -1, y =
0, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2], [0, 0], [-\
1482911/1048576, -741455/524288]]]], [[11, 6, 1, 2, 3], [2^(1/2) < v, u = -v,
x < -1, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[3, 3],
[-3, -3], [-2, -2], [0, 0], [0, 0]]]], [[11, 6, 1, 2, 4], [2^(1/2) < v, u = -v
, x < -1, y = 0, z = (-x)^(1/2)], [regular_chain, [[3, 3], [-3, -3], [-2, -2],
[0, 0], [741455/524288, 1482911/1048576]]]], [[11, 6, 1, 2, 5], [2^(1/2) < v,
u = -v, x < -1, y = 0, (-x)^(1/2) < z], [regular_chain, [[3, 3], [-3, -3], [-2
, -2], [0, 0], [3, 3]]]], [[11, 7, 9, 1, 1], [2^(1/2) < v, And(-v < u,u < -(v^
2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-4,
-4], [-3, -3]]]], [[11, 7, 9, 1, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/
2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[
3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-4, -4], [-7846825/
4194304, -980853/524288]]]], [[11, 7, 9, 1, 3], [2^(1/2) < v, And(-v < u,u < -
(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152],
[1/2, 1/2], [-4, -4], [0, 0]]]], [[11, 7, 9, 1, 4], [2^(1/2) < v, And(-v < u,u
< -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2], [-4,
-4], [980853/524288, 1961707/1048576]]]], [[11, 7, 9, 1, 5], [2^(1/2) < v, And
(-v < u,u < -(v^2-1)^(1/2)), And(0 < x,x < 1), y < u^2-v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [1/2, 1/2],
[-4, -4], [3, 3]]]], [[11, 13, 5, 2, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)]
, [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-\
2105901/1048576, -526475/262144], [-3, -3]]]], [[11, 13, 5, 2, 2], [2^(1/2) <
v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-\
1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 1435023
/524288], [-1/2, -1/2], [-2105901/1048576, -526475/262144], [-3321417/2097152,
-415177/262144]]]], [[11, 13, 5, 2, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u
< (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2)
< z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [-2105901/1048576, -526475/262144], [0, 0]]]],
[[11, 13, 5, 2, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), 
And(-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [
[3, 3], [1435023/524288, 1435023/524288], [-1/2, -1/2], [-2105901/1048576, -\
526475/262144], [415177/262144, 1660709/1048576]]]], [[11, 13, 5, 2, 5], [2^(1
/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), And(-1 < x,x < 0), y = u^2-
v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1/2, -1/2], [-2105901/1048576, -526475/262144], [3, 3]]]],
[[11, 14, 9, 1, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, y < -x-2, z < -(-x
-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2],
[-5, -5], [-3, -3]]]], [[11, 14, 9, 1, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), 1
< x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [2, 2], [-5, -5], [-1816187/1048576, -3632373/2097152]]]], [
[11, 14, 9, 1, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, y < -x-2, And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3], [741455/262144, 
2965821/1048576], [2, 2], [-5, -5], [-1/4194304, -1/4194304]]]], [[11, 14, 9,
1, 4], [2^(1/2) < v, u = (v^2-1)^(1/2), 1 < x, y < -x-2, z = (-x-y)^(1/2)], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [2, 2], [-5, -5], [
908093/524288, 1816187/1048576]]]], [[11, 14, 9, 1, 5], [2^(1/2) < v, u = (v^2
-1)^(1/2), 1 < x, y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [
741455/262144, 2965821/1048576], [2, 2], [-5, -5], [3, 3]]]], [[11, 19, 7, 1,
1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-
v^2-1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [
3396811/1048576, 3396811/1048576], [129511/524288, 129511/524288], [-4, -4], [
-3, -3]]]], [[11, 19, 7, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-4, -4], [-8125459/4194304, -16250917/8388608]]]], [[11, 19,
7, 1, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x
< u^2-v^2-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [129511/524288, 
129511/524288], [-4, -4], [-5/16777216, -5/16777216]]]], [[11, 19, 7, 1, 4], [
2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1
), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [129511/524288, 129511/524288], [-4, -4], [507841/
262144, 2031365/1048576]]]], [[11, 19, 7, 1, 5], [2^(1/2) < v, And((v^2+1)^(1/
2) < u,u < (v^2+2)^(1/2)), And(0 < x,x < u^2-v^2-1), y < -u^2+v^2-x-1, (-x-y)^
(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [
129511/524288, 129511/524288], [-4, -4], [3, 3]]]], [[11, 20, 9, 2, 1], [2^(1/
2) < v, u = (v^2+2)^(1/2), 1 < x, y = -x-3, z < -3^(1/2)], [regular_chain, [[3
, 3], [3477733/1048576, 1738867/524288], [2, 2], [-5, -5], [-3, -3]]]], [[11,
20, 9, 2, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y = -x-3, z = -3^(1/2)],
[regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [-5, -5],
[-1816187/1048576, -3632373/2097152]]]], [[11, 20, 9, 2, 3], [2^(1/2) < v, u =
(v^2+2)^(1/2), 1 < x, y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain
, [[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [-5, -5], [-1/4194304, -\
1/4194304]]]], [[11, 20, 9, 2, 4], [2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y =
-x-3, z = 3^(1/2)], [regular_chain, [[3, 3], [3477733/1048576, 1738867/524288]
, [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[11, 20, 9, 2, 5], [
2^(1/2) < v, u = (v^2+2)^(1/2), 1 < x, y = -x-3, 3^(1/2) < z], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [2, 2], [-5, -5], [3, 3]]]], [[1,
5, 3, 1, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,
x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2]
, [-3, -3]]]], [[1, 5, 3, 1, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-2, -2], [-3778779/2097152, -7557557/4194304]]]], [[1, 5,
3, 1, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x <
-1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [-2, -2], [-1/8388608, -1/8388608]]]], [[1, 5, 3, 1, 4], [v
< -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y < -u^
2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-2614535/2097152, -2614535/2097152], [-2, -2], [1889389/
1048576, 944695/524288]]]], [[1, 5, 3, 1, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2
) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-x-y)^(1/2) < z],
[regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152
, -2614535/2097152], [-2, -2], [3, 3]]]], [[1, 6, 6, 7, 1], [v < -2^(1/2), u =
v, x = 1, 0 < y, z = z], [regular_chain, [[-3, -3], [-3, -3], [1, 1], [1, 1],
[0, 0]]]], [[1, 11, 2, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < -2*u^2+2*v^2), z = z], [
regular_chain, [[-3, -3], [0, 0], [-10, -10], [14, 14], [0, 0]]]], [[1, 12, 5,
1, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y < -x-3, z < -(-x
-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -\
1/2], [-4, -4], [-4, -4]]]], [[1, 12, 5, 1, 2], [v < -2^(1/2), u = (v^2-2)^(1/
2), And(-1 < x,x < 0), y < -x-3, z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3]
, [2774271/1048576, 10837/4096], [-1/2, -1/2], [-4, -4], [-1112183/524288, -\
2224365/1048576]]]], [[1, 12, 5, 1, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(
-1 < x,x < 0), y < -x-3, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-4, -4
], [0, 0]]]], [[1, 12, 5, 1, 4], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,
x < 0), y < -x-3, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1/2, -1/2], [-4, -4], [2224365/1048576, 1112183/524288
]]]], [[1, 12, 5, 1, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0),
y < -x-3, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [-4, -4], [4, 4]]]], [[1, 18, 5, 6, 1], [v < -2^(1/
2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[-3
, -3], [207243/65536, 3315889/1048576], [-1/2, -1/2], [1/2, 1/2], [-1, -1]]]],
[[1, 18, 5, 6, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), And(-1 < x,x < 0), y = -x
, z = 0], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [-1/2, -\
1/2], [1/2, 1/2], [0, 0]]]], [[1, 18, 5, 6, 3], [v < -2^(1/2), u = (v^2+1)^(1/
2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[1, 19, 11, 3,
1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v
^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288], [-3, -3
]]]], [[1, 19, 11, 3, 2], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/
2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-1702375/524288, -\
1702375/524288], [-1170947/1048576, -585473/524288]]]], [[1, 19, 11, 3, 3], [v
< -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -\
3], [3396811/1048576, 3396811/1048576], [2, 2], [-1702375/524288, -1702375/
524288], [0, 0]]]], [[1, 19, 11, 3, 4], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u
< (v^2+2)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-\
1702375/524288, -1702375/524288], [585473/524288, 1170947/1048576]]]], [[1, 19
, 11, 3, 5], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, 
And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
3396811/1048576, 3396811/1048576], [2, 2], [-1702375/524288, -1702375/524288],
[3, 3]]]], [[2, 2, 9, 8, 1], [v = -2^(1/2), u = -2, 1 < x, y = 0, z = z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-2, -2], [2, 2], [0, 0],
[0, 0]]]], [[2, 4, 4, 1, 1], [v = -2^(1/2), u = -3^(1/2), x = -1, y < -1, z <
-(1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[2, 4, 4, 1, 2],
[v = -2^(1/2), u = -3^(1/2), x = -1, y < -1, z = -(1-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [
-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[2, 4, 4, 1, 3],
[v = -2^(1/2), u = -3^(1/2), x = -1, y < -1, And(-(1-y)^(1/2) < z,z < (1-y)^(1
/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576,
-3632373/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[2, 4, 4,
1, 4], [v = -2^(1/2), u = -3^(1/2), x = -1, y < -1, z = (1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576]]]], [[2
, 4, 4, 1, 5], [v = -2^(1/2), u = -3^(1/2), x = -1, y < -1, (1-y)^(1/2) < z],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[2, 7, 7, 8, 1], [v = -2^(1/
2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = -x, z < 0], [regular_chain,
[[-1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [239655/1048576, 239655/1048576], [-1, -1]]]
], [[2, 7, 7, 8, 2], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0),
y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [239655/
1048576, 239655/1048576], [0, 0]]]], [[2, 7, 7, 8, 3], [v = -2^(1/2), And(v <
u,u < -1), And(-u^2+1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [239655/1048576, 239655/1048576], [1, 1]]]], [[2, 9
, 3, 4, 1], [v = -2^(1/2), And(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = 0, z
< -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1
/2], [-15/8, -15/8], [0, 0], [-3, -3]]]], [[2, 9, 3, 4, 2], [v = -2^(1/2), And
(-1 < u,u < 0), And(u^2-3 < x,x < -1), y = 0, z = -(-x)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [0, 0], [
-717911/524288, -1435821/1048576]]]], [[2, 9, 3, 4, 3], [v = -2^(1/2), And(-1
< u,u < 0), And(u^2-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-15/8, -\
15/8], [0, 0], [0, 0]]]], [[2, 9, 3, 4, 4], [v = -2^(1/2), And(-1 < u,u < 0),
And(u^2-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [0, 0], [1435821/
1048576, 717911/524288]]]], [[2, 9, 3, 4, 5], [v = -2^(1/2), And(-1 < u,u < 0)
, And(u^2-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1/2, -1/2], [-15/8, -15/8], [0, 0], [3, 3]]]], [[2
, 13, 5, 7, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(
-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [1/2, 1/2], [-2, -2]]]], [[2, 13, 5, 7, 2], [v = -2^(1/2), 
And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), z = -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2, 1/2], [
-31331/65536, -501295/1048576]]]], [[2, 13, 5, 7, 3], [v = -2^(1/2), And(1 < u
,u < -v), And(-1 < x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2)
< z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [1/2,
1/2], [0, 0]]]], [[2, 13, 5, 7, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 <
x,x < -u^2+1), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[
-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [1/2, 1/2], [501295/1048576, 31331/65536]]
]], [[2, 13, 5, 7, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1
), And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [1/2, 1/2], [2, 2]]]], [[2, 15, 3, 1, 1], [v = -2^
(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z < -(-x
-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-2, -2], [-3
, -3]]]], [[2, 15, 3, 1, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+
1 < x,x < -1), y < -u^2-x+1, z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-2594957/
2097152, -2594957/2097152], [-2, -2], [-7546685/4194304, -1886671/1048576]]]],
[[2, 15, 3, 1, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x <
-1), y < -u^2-x+1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [
[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
2594957/2097152, -2594957/2097152], [-2, -2], [0, 0]]]], [[2, 15, 3, 1, 4], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y < -u^2-x+1, z =
(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/
2097152, 3299097/2097152], [-2594957/2097152, -2594957/2097152], [-2, -2], [
1886671/1048576, 117917/65536]]]], [[2, 15, 3, 1, 5], [v = -2^(1/2), And(-v <
u,u < 3^(1/2)), And(-u^2+1 < x,x < -1), y < -u^2-x+1, (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-2594957/2097152, -2594957/2097152], [-2, -2], [3, 3]]]], [[3, 1, 7
, 9, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), u^2-
v^2-x-1 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3, -3], [1/2, 1/2], [8, 8], [0, 0]]]], [[3, 3, 1, 5, 1], [And(-2^(1/2) < v,v <
-1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-
x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [5789491/
2097152, 5789491/2097152], [-3, -3]]]], [[3, 3, 1, 5, 2], [And(-2^(1/2) < v,v
< -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^
2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [5789491/
2097152, 5789491/2097152], [-583671/524288, -1167341/1048576]]]], [[3, 3, 1, 5
, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
< -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/
8388608, -14373233/8388608], [-4, -4], [5789491/2097152, 5789491/2097152], [0,
0]]]], [[3, 3, 1, 5, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608,
-14373233/8388608], [-4, -4], [5789491/2097152, 5789491/2097152], [1167341/
1048576, 583671/524288]]]], [[3, 3, 1, 5, 5], [And(-2^(1/2) < v,v < -1), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, And(-u^2+v^2-x-1 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-14373233/8388608, -14373233/8388608], [-4, -4], [5789491/2097152, 5789491
/2097152], [3, 3]]]], [[3, 7, 7, 6, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [0, 0], [-2, -2]]]], [[3
, 7, 7, 6, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-
u^2+v^2-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [0, 0], [-242963/524288, -485925/1048576]]]], [[3,
7, 7, 6, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [0, 0], [0, 0]]]], [[3,
7, 7, 6, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -\
225185/1048576], [0, 0], [485925/1048576, 242963/524288]]]], [[3, 7, 7, 6, 5],
[And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x
< 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/
1048576], [0, 0], [2, 2]]]], [[3, 9, 3, 2, 1], [And(-2^(1/2) < v,v < -1), And(
-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-
x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-95493/131072, -\
1527887/2097152], [-3, -3]]]], [[3, 9, 3, 2, 2], [And(-2^(1/2) < v,v < -1), 
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-
v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-95493/131072
, -1527887/2097152], [-410915/262144, -3287319/2097152]]]], [[3, 9, 3, 2, 3],
[And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-
v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+
1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-\
1812519/1048576, -1812519/1048576], [-95493/131072, -1527887/2097152], [-1/
4194304, -1/4194304]]]], [[3, 9, 3, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^
2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1,
z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [0, 0], [-1812519/1048576, -1812519/1048576], [-95493/131072, -1527887/
2097152], [1643659/1048576, 410915/262144]]]], [[3, 9, 3, 2, 5], [And(-2^(1/2)
< v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), And(u^2-v^2-1 < x,x <
-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-1812519/1048576, -1812519/1048576], [-\
95493/131072, -1527887/2097152], [3, 3]]]], [[3, 17, 10, 5, 1], [And(-2^(1/2)
< v,v < -1), (v^2+2)^(1/2) < u, x = u^2-v^2-1, And(-u^2+v^2+1 < y,y < 0), z =
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [6860721/
1048576, 3430361/524288], [-6860721/2097152, -6860721/2097152], [0, 0]]]], [[4
, 2, 2, 1, 1], [v = -1, u = -3^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1,
-1], [-3, -3]]]], [[4, 2, 2, 1, 2], [v = -1, u = -3^(1/2), x = -3, y < 0, z =
-(3-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152]
, [-3, -3], [-1, -1], [-2, -2]]]], [[4, 2, 2, 1, 3], [v = -1, u = -3^(1/2), x
= -3, y < 0, And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[-1, -1]
, [-1816187/1048576, -3632373/2097152], [-3, -3], [-1, -1], [0, 0]]]], [[4, 2,
2, 1, 4], [v = -1, u = -3^(1/2), x = -3, y < 0, z = (3-y)^(1/2)], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [-1,
-1], [2, 2]]]], [[4, 2, 2, 1, 5], [v = -1, u = -3^(1/2), x = -3, y < 0, (3-y)^
(1/2) < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [
-3, -3], [-1, -1], [3, 3]]]], [[4, 6, 6, 2, 1], [v = -1, u = -1, x = 1, y = -2
, z < -1], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-2, -2], [-2, -2]]]],
[[4, 6, 6, 2, 2], [v = -1, u = -1, x = 1, y = -2, z = -1], [regular_chain, [[-\
1, -1], [-1, -1], [1, 1], [-2, -2], [-1, -1]]]], [[4, 6, 6, 2, 3], [v = -1, u
= -1, x = 1, y = -2, And(-1 < z,z < 1)], [regular_chain, [[-1, -1], [-1, -1],
[1, 1], [-2, -2], [0, 0]]]], [[4, 6, 6, 2, 4], [v = -1, u = -1, x = 1, y = -2,
z = 1], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [-2, -2], [1, 1]]]], [[4,
6, 6, 2, 5], [v = -1, u = -1, x = 1, y = -2, 1 < z], [regular_chain, [[-1, -1]
, [-1, -1], [1, 1], [-2, -2], [2, 2]]]], [[4, 8, 2, 2, 1], [v = -1, u = 0, x =
-2, y = 0, z < -2^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [0, 0],
[-3, -3]]]], [[4, 8, 2, 2, 2], [v = -1, u = 0, x = -2, y = 0, z = -2^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [0, 0], [-1482911/1048576, -741455
/524288]]]], [[4, 8, 2, 2, 3], [v = -1, u = 0, x = -2, y = 0, And(-2^(1/2) < z
,z < 2^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [0, 0], [0, 0]]]]
, [[4, 8, 2, 2, 4], [v = -1, u = 0, x = -2, y = 0, z = 2^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [0, 0], [741455/524288, 1482911/
1048576]]]], [[4, 8, 2, 2, 5], [v = -1, u = 0, x = -2, y = 0, 2^(1/2) < z], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [0, 0], [3, 3]]]], [[4, 14, 3, 4,
1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [0, 0],
[-3, -3]]]], [[4, 14, 3, 4, 2], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y =
0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[4, 14, 3,
4, 3], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [
-2, -2], [0, 0], [0, 0]]]], [[4, 14, 3, 4, 4], [v = -1, u = 3^(1/2), And(-3 <
x,x < -1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [908093/524288,
1816187/1048576], [-2, -2], [0, 0], [741455/524288, 1482911/1048576]]]], [[4,
14, 3, 4, 5], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z]
, [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [0, 0
], [3, 3]]]], [[4, 15, 7, 9, 1], [v = -1, 3^(1/2) < u, And(0 < x,x < 1), u^2-x
-2 < y, z = z], [regular_chain, [[-1, -1], [3, 3], [1/2, 1/2], [8, 8], [0, 0]]
]], [[5, 4, 8, 3, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, And(-3 <
y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072,
-1172343/1048576], [1, 1], [-2, -2], [-2, -2]]]], [[5, 4, 8, 3, 2], [And(-1 <
v,v < 0), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1], [-2,
-2], [-1, -1]]]], [[5, 4, 8, 3, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x
= 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z < (-y-1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1], [-2,
-2], [0, 0]]]], [[5, 4, 8, 3, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x =
1, And(-3 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [1, 1], [-2, -2], [1, 1]]]], [[5, 4, 8, 3, 5
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(
1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[1, 1], [-2, -2], [2, 2]]]], [[5, 6, 2, 3, 1], [And(-1 < v,v < 0), u = v, x =
-1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[5, 6, 2, 3, 2], [And(-1 < v,v < 0)
, u = v, x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]
]]], [[5, 6, 2, 3, 3], [And(-1 < v,v < 0), u = v, x = -1, And(0 < y,y < 1), 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2,
-1/2], [-1, -1], [1/2, 1/2], [0, 0]]]], [[5, 6, 2, 3, 4], [And(-1 < v,v < 0),
u = v, x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/
2], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[5,
6, 2, 3, 5], [And(-1 < v,v < 0), u = v, x = -1, And(0 < y,y < 1), (1-y)^(1/2)
< z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [2, 2
]]]], [[5, 9, 8, 1, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x =
0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-3, -3], [-3, -3]]]], [[5, 9, 8, 1, 2], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, z = -
(-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152]
, [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[5, 9, 8, 1, 3],
[And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^2+v^2-1, And(
-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/
2097152, 1696631/2097152], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[5,
9, 8, 1, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^
2+v^2-1, z = (-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[5,
9, 8, 1, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), x = 0, y < -u^
2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [0, 0], [-3, -3], [3, 3]]]], [[5, 11, 3, 6, 1], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144],
[-1815885/1048576, -1815885/1048576], [1815885/1048576, 1815885/1048576], [-1,
-1]]]], [[5, 11, 3, 6, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -x, z = 0], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [
1815885/1048576, 1815885/1048576], [0, 0]]]], [[5, 11, 3, 6, 3], [And(-1 < v,v
< 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y
= -x, 0 < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [
-1815885/1048576, -1815885/1048576], [1815885/1048576, 1815885/1048576], [1, 1
]]]], [[6, 2, 2, 2, 1], [v = 0, u = -2^(1/2), x = -3, y = 0, z < -3^(1/2)], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0],
[-3, -3]]]], [[6, 2, 2, 2, 2], [v = 0, u = -2^(1/2), x = -3, y = 0, z = -3^(1/
2)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [0
, 0], [-1816187/1048576, -3632373/2097152]]]], [[6, 2, 2, 2, 3], [v = 0, u = -
2^(1/2), x = -3, y = 0, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[0, 0
], [-1482911/1048576, -741455/524288], [-3, -3], [0, 0], [-1/4194304, -1/
4194304]]]], [[6, 2, 2, 2, 4], [v = 0, u = -2^(1/2), x = -3, y = 0, z = 3^(1/2
)], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-3, -3], [0,
0], [908093/524288, 1816187/1048576]]]], [[6, 2, 2, 2, 5], [v = 0, u = -2^(1/2
), x = -3, y = 0, 3^(1/2) < z], [regular_chain, [[0, 0], [-1482911/1048576, -\
741455/524288], [-3, -3], [0, 0], [3, 3]]]], [[6, 3, 6, 7, 1], [v = 0, And(-2^
(1/2) < u,u < -1), x = 0, u^2-1 < y, z = z], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [0, 0], [2, 2], [0, 0]]]], [[6, 9, 8, 2, 1
], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y = -2*u^2, z < -(u^2+1)^(1/2)],
[regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 
479311/1048576], [-6111547/2097152, -24446187/8388608], [-3, -3]]]], [[6, 9, 8
, 2, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y = -2*u^2, z = -(u^2+1)^(
1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
524288, 479311/1048576], [-6111547/2097152, -24446187/8388608], [-410915/
262144, -3287319/2097152]]]], [[6, 9, 8, 2, 3], [v = 0, And(1 < u,u < 2^(1/2))
, x = u^2-1, y = -2*u^2, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [
regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 
479311/1048576], [-6111547/2097152, -24446187/8388608], [-1/4194304, -1/
4194304]]]], [[6, 9, 8, 2, 4], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y =
-2*u^2, z = (u^2+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743
/1048576], [239655/524288, 479311/1048576], [-6111547/2097152, -24446187/
8388608], [1643659/1048576, 410915/262144]]]], [[6, 9, 8, 2, 5], [v = 0, And(1
< u,u < 2^(1/2)), x = u^2-1, y = -2*u^2, (u^2+1)^(1/2) < z], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [
-6111547/2097152, -24446187/8388608], [3, 3]]]], [[6, 11, 1, 7, 1], [v = 0, 2^
(1/2) < u, x < -u^2-1, And(-x < y,y < u^2-x-1), z = z], [regular_chain, [[0, 0
], [3, 3], [-11, -11], [15, 15], [0, 0]]]], [[7, 3, 11, 5, 1], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-x < y,y < u^2-v^2-
x-1), z = z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [
2, 2], [-1854131/1048576, -1854131/1048576], [0, 0]]]], [[7, 5, 7, 1, 1], [And
(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y < -
u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [-\
3, -3]]]], [[7, 5, 7, 1, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v)
, And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-3, -3], [-7616729/4194304, -952091/524288]]]], [
[7, 5, 7, 1, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^
2-1 < x,x < 0), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-1248837/
4194304, -1248837/4194304], [-3, -3], [0, 0]]]], [[7, 5, 7, 1, 4], [And(0 < v,
v < 1), And(-(v^2+1)^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2
-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-1248837/4194304, -1248837/4194304], [-3, -3], [952091/
524288, 1904183/1048576]]]], [[7, 5, 7, 1, 5], [And(0 < v,v < 1), And(-(v^2+1)
^(1/2) < u,u < -v), And(u^2-v^2-1 < x,x < 0), y < -u^2+v^2-x-1, (-x-y)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [-3, -3], [3, 3]]]], [[8, 1, 5, 4, 1], [v
= 1, u < -3^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[1, 1], [-3, -3], [-1/2, -1/2], [0, 0], [-2, -2]]]], [[8, 1, 5, 4, 2], [v = 1
, u < -3^(1/2), And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[
1, 1], [-3, -3], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]],
[[8, 1, 5, 4, 3], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1
/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [0,
0], [0, 0]]]], [[8, 1, 5, 4, 4], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), y =
0, z = (-x)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[8, 1, 5, 4, 5], [v = 1, u < -3^(1/2), And(-\
1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1, 1], [-3, -3], [-1/2
, -1/2], [0, 0], [2, 2]]]], [[8, 2, 7, 5, 1], [v = 1, u = -3^(1/2), And(0 < x,
x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[1, 1], [-1816187/1048576,
-3632373/2097152], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[8, 7, 5, 1, 1], [v =
1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y < u^2-x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-3, -3], [-3, -3]]]], [[8
, 7, 5, 1, 2], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y < u^2-x-2, z
= -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-3, -3
], [-7985717/4194304, -15971433/8388608]]]], [[8, 7, 5, 1, 3], [v = 1, And(-1
< u,u < 0), And(-1 < x,x < -u^2), y < u^2-x-2, And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-3, -3], [-1/
16777216, -1/16777216]]]], [[8, 7, 5, 1, 4], [v = 1, And(-1 < u,u < 0), And(-1
< x,x < -u^2), y < u^2-x-2, z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2,
-1/2], [-5/8, -5/8], [-3, -3], [1996429/1048576, 998215/524288]]]], [[8, 7, 5,
1, 5], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y < u^2-x-2, (-x-y)^(1
/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-3, -3], [3, 3
]]]], [[8, 8, 8, 7, 1], [v = 1, u = 0, x = 1, 0 < y, z = z], [regular_chain, [
[1, 1], [0, 0], [1, 1], [1, 1], [0, 0]]]], [[8, 14, 9, 3, 1], [v = 1, u = 3^(1
/2), 1 < x, And(-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [2, 2], [-7/2, -7/2], [-3, -3]]]], [[8, 14,
9, 3, 2], [v = 1, u = 3^(1/2), 1 < x, And(-x-3 < y,y < -x), z = -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [-7/2, -7
/2], [-1284239/1048576, -642119/524288]]]], [[8, 14, 9, 3, 3], [v = 1, u = 3^(
1/2), 1 < x, And(-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [-7/2, -7/2]
, [0, 0]]]], [[8, 14, 9, 3, 4], [v = 1, u = 3^(1/2), 1 < x, And(-x-3 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [2, 2], [-7/2, -7/2], [642119/524288, 1284239/1048576]]]], [[8, 14,
9, 3, 5], [v = 1, u = 3^(1/2), 1 < x, And(-x-3 < y,y < -x), (-x-y)^(1/2) < z],
[regular_chain, [[1, 1], [908093/524288, 1816187/1048576], [2, 2], [-7/2, -7/2
], [3, 3]]]], [[9, 1, 2, 2, 1], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= -u^2+v^2-1, y = 0, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [0,
0], [-4, -4]]]], [[9, 1, 2, 2, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2)
, x = -u^2+v^2-1, y = 0, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [0,
0], [-1532401/524288, -24518415/8388608]]]], [[9, 1, 2, 2, 3], [And(1 < v,v <
2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [-3, -3], [-4478937/524288, -8957873/1048576], [0, 0], [-7/16777216, -7/
16777216]]]], [[9, 1, 2, 2, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x
= -u^2+v^2-1, y = 0, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [0, 0], [
3064801/1048576, 1532401/524288]]]], [[9, 1, 2, 2, 5], [And(1 < v,v < 2^(1/2))
, u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 0, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288
, -8957873/1048576], [0, 0], [4, 4]]]], [[9, 5, 5, 2, 1], [And(1 < v,v < 2^(1/
2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x
-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [-735355/1048576, -1470709/2097152], [-3, -3]]]], [[9, 5, 5, 2, 2],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^
2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [-735355/1048576, -1470709/2097152], [-1270261/
1048576, -317565/262144]]]], [[9, 5, 5, 2, 3], [And(1 < v,v < 2^(1/2)), And(-(
v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [-735355/1048576, -1470709/2097152], [0, 0]]]], [[9, 5, 5, 2
, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x <
u^2-v^2-1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [-735355/1048576, -1470709/2097152], [
317565/262144, 1270261/1048576]]]], [[9, 5, 5, 2, 5], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = -u^2+v^2-x-1, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [-\
735355/1048576, -1470709/2097152], [3, 3]]]], [[9, 7, 1, 8, 1], [And(1 < v,v <
2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z < 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [3, 3], [-1, -1]]]], [[9, 7, 1, 8, 2], [And(1 < v,
v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, z = 0], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [3, 3], [0, 0]]]], [[9, 7, 1, 8, 3], [And(1 < v,v
< 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x < u^2-v^2-1, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3, -3], [3, 3], [1, 1]]]], [[9, 10, 1, 2, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = 0, z < -(-x)^(1/2)], [regular_chain
, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/1048576], [-3, -\
3], [0, 0], [-3, -3]]]], [[9, 10, 1, 2, 2], [And(1 < v,v < 2^(1/2)), u = (v^2-\
1)^(1/2), x < -2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [354469/524288, 708939/1048576], [-3, -3], [0, 0], [-1816187
/1048576, -3632373/2097152]]]], [[9, 10, 1, 2, 3], [And(1 < v,v < 2^(1/2)), u
= (v^2-1)^(1/2), x < -2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]], [[9, 10, 1, 2, 4], [
And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = 0, z = (-x)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 708939/
1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]], [[9, 10, 1, 2
, 5], [And(1 < v,v < 2^(1/2)), u = (v^2-1)^(1/2), x < -2, y = 0, (-x)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [354469/524288, 
708939/1048576], [-3, -3], [0, 0], [3, 3]]]], [[9, 11, 7, 3, 1], [And(1 < v,v
< 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v
^2-x-1 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152,
-450371/2097152], [-1646781/2097152, -1646781/2097152], [-2, -2]]]], [[9, 11,
7, 3, 2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-\
1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-1646781/2097152, -1646781/
2097152], [-1, -1]]]], [[9, 11, 7, 3, 3], [And(1 < v,v < 2^(1/2)), And((v^2-1)
^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2
-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-450371/2097152,
-450371/2097152], [-1646781/2097152, -1646781/2097152], [0, 0]]]], [[9, 11, 7,
3, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-450371/2097152, -450371/2097152], [-1646781/2097152, -1646781/
2097152], [1, 1]]]], [[9, 11, 7, 3, 5], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(
1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x
-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-1646781
/2097152, -1646781/2097152], [2, 2]]]], [[9, 16, 2, 6, 1], [And(1 < v,v < 2^(1
/2)), u = (v^2+2)^(1/2), x = -3, y = 4, z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [4, 4],
[0, 0]]]], [[9, 17, 6, 7, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x =
0, u^2-v^2-1 < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576],
[3, 3], [0, 0], [8, 8], [0, 0]]]], [[10, 6, 1, 3, 1], [v = 2^(1/2), u = -v, x
< -1, And(0 < y,y < -1-x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2],
[-3, -3]]]], [[10, 6, 1, 3, 2], [v = 2^(1/2), u = -v, x < -1, And(0 < y,y < -1
-x), z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-\
1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [-1284239/1048576, -\
642119/524288]]]], [[10, 6, 1, 3, 3], [v = 2^(1/2), u = -v, x < -1, And(0 < y,
y < -1-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1/2,
1/2], [0, 0]]]], [[10, 6, 1, 3, 4], [v = 2^(1/2), u = -v, x < -1, And(0 < y,y
< -1-x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [642119/524288, 
1284239/1048576]]]], [[10, 6, 1, 3, 5], [v = 2^(1/2), u = -v, x < -1, And(0 <
y,y < -1-x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1482911/1048576, -741455/524288], [-2, -2], [1/2, 1/2], [3, 3]]]],
[[10, 7, 9, 2, 1], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = u^2
-x-3, z < -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-1071065/524288, -2142129/
1048576], [-3, -3]]]], [[10, 7, 9, 2, 2], [v = 2^(1/2), And(-v < u,u < -1), 
And(0 < x,x < 1), y = u^2-x-3, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
1071065/524288, -2142129/1048576], [-1302471/1048576, -651235/524288]]]], [[10
, 7, 9, 2, 3], [v = 2^(1/2), And(-v < u,u < -1), And(0 < x,x < 1), y = u^2-x-3
, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
1071065/524288, -2142129/1048576], [0, 0]]]], [[10, 7, 9, 2, 4], [v = 2^(1/2),
And(-v < u,u < -1), And(0 < x,x < 1), y = u^2-x-3, z = (-u^2+3)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [1/2, 1/2], [-1071065/524288, -2142129/1048576], [651235/524288, 
1302471/1048576]]]], [[10, 7, 9, 2, 5], [v = 2^(1/2), And(-v < u,u < -1), And(
0 < x,x < 1), y = u^2-x-3, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [1/2, 1/2], [-\
1071065/524288, -2142129/1048576], [3, 3]]]], [[10, 11, 11, 9, 1], [v = 2^(1/2
), And(0 < u,u < 1), 1 < x, 0 < y, z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [2, 2], [1, 1], [0, 0]]]], [[10, 13, 7, 1, 1], [
v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y < u^2-x-3, z < -(-x-y)
^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576,
1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -3], [-3, -3]]]], [
[10, 13, 7, 1, 2], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y <
u^2-x-3, z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-3,
-3], [-7536399/4194304, -3768199/2097152]]]], [[10, 13, 7, 1, 3], [v = 2^(1/2)
, And(1 < u,u < v), And(-u^2+1 < x,x < 0), y < u^2-x-3, And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [
1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -3
], [-1/4194304, -1/4194304]]]], [[10, 13, 7, 1, 4], [v = 2^(1/2), And(1 < u,u
< v), And(-u^2+1 < x,x < 0), y < u^2-x-3, z = (-x-y)^(1/2)], [regular_chain, [
[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-239655
/1048576, -239655/1048576], [-3, -3], [1884099/1048576, 471025/262144]]]], [[
10, 13, 7, 1, 5], [v = 2^(1/2), And(1 < u,u < v), And(-u^2+1 < x,x < 0), y < u
^2-x-3, (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-239655/1048576, -239655/1048576], [-3, -\
3], [3, 3]]]], [[11, 3, 2, 1, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v
^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z < -(u^2-v^2-y+1)^(1/2)], [regular_chain
, [[3, 3], [-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/
262144], [-1, -1], [-3, -3]]]], [[11, 3, 2, 1, 2], [2^(1/2) < v, And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, z = -(u^2-v^2-y+1)^(1/2)
], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [-1, -1], [-7840147/4194304, -3920073/2097152]]]], [
[11, 3, 2, 1, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -u^2+v^2-1, y < 0, And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [-1, -1], [-1/4194304, -1/4194304]]]], [[11, 3, 2, 1
, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1
, y < 0, z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-2615197/1048576, -653799/262144], [-1, -1], [490009/
262144, 1960037/1048576]]]], [[11, 3, 2, 1, 5], [2^(1/2) < v, And(-(v^2+2)^(1/
2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y < 0, (u^2-v^2-y+1)^(1/2) < z], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [-1, -1], [3, 3]]]], [[11, 4, 5, 1, 1], [2^(1/2) < v
, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, z < -(-x-y)^(1/2)], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3,
-3], [-3, -3]]]], [[11, 4, 5, 1, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1
< x,x < 0), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [-3, -3], [-7846825/4194304, -980853/
524288]]]], [[11, 4, 5, 1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x
< 0), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3,
3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [-3, -3], [0, 0]]]], [[11
, 4, 5, 1, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2,
z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536],
[-1/2, -1/2], [-3, -3], [980853/524288, 1961707/1048576]]]], [[11, 4, 5, 1, 5]
, [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y < -x-2, (-x-y)^(1/2)
< z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2]
, [-3, -3], [3, 3]]]], [[11, 9, 3, 9, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), -u^2+v^2-x-1 < y, z = z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-7357527/
4194304, -7357527/4194304], [4, 4], [0, 0]]]], [[11, 10, 5, 8, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), And(-1 < x,x < 0), y = 1-x, z = z], [regular_chain, [[3
, 3], [-5548543/2097152, -2774271/1048576], [-1/2, -1/2], [3/2, 3/2], [0, 0]]]
], [[11, 16, 2, 4, 1], [2^(1/2) < v, u = v, x = -1, y = 1, z < 0], [
regular_chain, [[3, 3], [3, 3], [-1, -1], [1, 1], [-1, -1]]]], [[11, 16, 2, 4,
2], [2^(1/2) < v, u = v, x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [3, 3
], [-1, -1], [1, 1], [0, 0]]]], [[11, 16, 2, 4, 3], [2^(1/2) < v, u = v, x = -\
1, y = 1, 0 < z], [regular_chain, [[3, 3], [3, 3], [-1, -1], [1, 1], [1, 1]]]]
, [[11, 17, 10, 1, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y <
-u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [1, 1], [-4, -4], [-3, -3]]]], [[11, 17, 10, 1, 2], [2^(1/2) <
v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-4, -4], [-\
1816187/1048576, -3632373/2097152]]]], [[11, 17, 10, 1, 3], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z < (-y
-1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1],
[-4, -4], [-1/4194304, -1/4194304]]]], [[11, 17, 10, 1, 4], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-4, -4], [
908093/524288, 1816187/1048576]]]], [[11, 17, 10, 1, 5], [2^(1/2) < v, And(v <
u,u < (v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain
, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-4, -4], [3, 3]]]], [[1, 5
, 3, 6, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x
< -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [388037
/524288, 776075/1048576], [-2, -2]]]], [[1, 5, 3, 6, 2], [v < -2^(1/2), And(-(
v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = -(-u
^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072],
[-2614535/2097152, -2614535/2097152], [388037/524288, 776075/1048576], [-\
373161/524288, -1492643/2097152]]]], [[1, 5, 3, 6, 3], [v < -2^(1/2), And(-(v^
2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-3, -3], [-\
403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [388037/
524288, 776075/1048576], [-1/4194304, -1/4194304]]]], [[1, 5, 3, 6, 4], [v < -
2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^
2-x-1, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-2614535/2097152, -2614535/2097152], [388037/524288, 776075/
1048576], [746321/1048576, 373161/524288]]]], [[1, 5, 3, 6, 5], [v < -2^(1/2),
And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-
u^2+v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [388037/524288, 776075/1048576]
, [2, 2]]]], [[1, 6, 7, 1, 1], [v < -2^(1/2), u = v, 1 < x, y < -1-x, z < -(-x
-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-4, -4], [-3, -3]]]]
, [[1, 6, 7, 1, 2], [v < -2^(1/2), u = v, 1 < x, y < -1-x, z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-3, -3], [2, 2], [-4, -4], [-1482911/1048576, -\
741455/524288]]]], [[1, 6, 7, 1, 3], [v < -2^(1/2), u = v, 1 < x, y < -1-x, 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-3, -3],
[2, 2], [-4, -4], [0, 0]]]], [[1, 6, 7, 1, 4], [v < -2^(1/2), u = v, 1 < x, y
< -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-4, -\
4], [741455/524288, 1482911/1048576]]]], [[1, 6, 7, 1, 5], [v < -2^(1/2), u =
v, 1 < x, y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [2
, 2], [-4, -4], [3, 3]]]], [[1, 11, 3, 5, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2
) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z < -(
-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [11/4, 11/4],
[-3, -3]]]], [[1, 11, 3, 5, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), z = -(-x-y)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [11/4, 11/4], [-1738867/
1048576, -3477733/2097152]]]], [[1, 11, 3, 5, 3], [v < -2^(1/2), And(-(v^2-2)^
(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(0 < y,y < -x), 
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [
-11/2, -11/2], [11/4, 11/4], [-1/4194304, -1/4194304]]]], [[1, 11, 3, 5, 4], [
v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x <
-1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0],
[-11/2, -11/2], [11/4, 11/4], [869433/524288, 1738867/1048576]]]], [[1, 11, 3,
5, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1
< x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3],
[0, 0], [-11/2, -11/2], [11/4, 11/4], [3, 3]]]], [[1, 12, 5, 4, 1], [v < -2^(1
/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [0, 0],
[-2, -2]]]], [[1, 12, 5, 4, 2], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x
< 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 
10837/4096], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[1
, 12, 5, 4, 3], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, 
And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [2774271/
1048576, 10837/4096], [-1/2, -1/2], [0, 0], [0, 0]]]], [[1, 12, 5, 4, 4], [v <
-2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [0, 0],
[741455/1048576, 46341/65536]]]], [[1, 12, 5, 4, 5], [v < -2^(1/2), u = (v^2-2
)^(1/2), And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3],
[2774271/1048576, 10837/4096], [-1/2, -1/2], [0, 0], [2, 2]]]], [[1, 18, 6, 4,
1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[
-3, -3], [207243/65536, 3315889/1048576], [0, 0], [0, 0], [-1, -1]]]], [[1, 18
, 6, 4, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [0, 0], [0,
0]]]], [[1, 18, 6, 4, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y = 0, 0 <
z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [0, 0]
, [1, 1]]]], [[1, 19, 11, 4, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [2, 2], [-2, -2], [-1, -1]]]], [[1, 19, 11, 4, 2], [v < -2
^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 1 < x, y = -x, z = 0], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-2, -2]
, [0, 0]]]], [[1, 19, 11, 4, 3], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), 1 < x, y = -x, 0 < z], [regular_chain, [[-3, -3], [3396811/1048576
, 3396811/1048576], [2, 2], [-2, -2], [1, 1]]]], [[2, 3, 1, 6, 1], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -x, z < 0], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -\
4], [4, 4], [-1, -1]]]], [[2, 3, 1, 6, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1
/2)), x < -u^2+1, y = -x, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [4, 4], [0, 0]]]], [[
2, 3, 1, 6, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -x, 0
< z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152,
-3913339/2097152], [-4, -4], [4, 4], [1, 1]]]], [[2, 4, 4, 4, 1], [v = -2^(1/2
), u = -3^(1/2), x = -1, y = 0, z < -1], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [0, 0], [-2, -\
2]]]], [[2, 4, 4, 4, 2], [v = -2^(1/2), u = -3^(1/2), x = -1, y = 0, z = -1],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[2, 4, 4, 4, 3], [v = -2^(1/
2), u = -3^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -\
1], [0, 0], [0, 0]]]], [[2, 4, 4, 4, 4], [v = -2^(1/2), u = -3^(1/2), x = -1,
y = 0, z = 1], [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/
1048576, -3632373/2097152], [-1, -1], [0, 0], [1, 1]]]], [[2, 4, 4, 4, 5], [v
= -2^(1/2), u = -3^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [0,
0], [2, 2]]]], [[2, 7, 7, 5, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1
< x,x < 0), And(-u^2-x+1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-239655/2097152, -239655/2097152], [-2, -2]
]]], [[2, 7, 7, 5, 2], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0)
, And(-u^2-x+1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-239655/
1048576, -239655/1048576], [-239655/2097152, -239655/2097152], [-1227917/
2097152, -306979/524288]]]], [[2, 7, 7, 5, 3], [v = -2^(1/2), And(v < u,u < -1
), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/
1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-239655/
2097152, -239655/2097152], [0, 0]]]], [[2, 7, 7, 5, 4], [v = -2^(1/2), And(v <
u,u < -1), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), z = (-x-y)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-239655/2097152, -\
239655/2097152], [306979/524288, 613959/1048576]]]], [[2, 7, 7, 5, 5], [v = -2
^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), And(-u^2-x+1 < y,y < 0), (-x
-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743
/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [-239655/
2097152, -239655/2097152], [2, 2]]]], [[2, 9, 2, 4, 1], [v = -2^(1/2), And(-1
< u,u < 0), x = u^2-3, y = -u^2+3, z < 0], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1/2, -1/2], [-11/4, -11/4], [11/4, 11/4], [-1, -1]]]], [[2,
9, 2, 4, 2], [v = -2^(1/2), And(-1 < u,u < 0), x = u^2-3, y = -u^2+3, z = 0],
[regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/4, -11
/4], [11/4, 11/4], [0, 0]]]], [[2, 9, 2, 4, 3], [v = -2^(1/2), And(-1 < u,u <
0), x = u^2-3, y = -u^2+3, 0 < z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-11/4, -11/4], [11/4, 11/4], [1, 1]]]], [[2, 13, 5, 6
, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = -u^2-x+1,
z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
35579/131072, 284633/1048576], [-2, -2]]]], [[2, 13, 5, 6, 2], [v = -2^(1/2),
And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = -u^2-x+1, z = -(u^2-1)^(1/2)],
[regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743
/1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/1048576
], [-1417877/2097152, -354469/524288]]]], [[2, 13, 5, 6, 3], [v = -2^(1/2), 
And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = -u^2-x+1, And(-(u^2-1)^(1/2) <
z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
35579/131072, 284633/1048576], [0, 0]]]], [[2, 13, 5, 6, 4], [v = -2^(1/2), 
And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = -u^2-x+1, z = (u^2-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/1048576]
, [354469/524288, 708939/1048576]]]], [[2, 13, 5, 6, 5], [v = -2^(1/2), And(1
< u,u < -v), And(-1 < x,x < -u^2+1), y = -u^2-x+1, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [35579/131072, 284633/1048576]
, [2, 2]]]], [[2, 15, 2, 3, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u
^2+1, And(0 < y,y < 2*u^2-4), z < -(u^2-y-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191
/524288, -1546381/1048576], [995611/2097152, 995611/2097152], [-3, -3]]]], [[2
, 15, 2, 3, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,
y < 2*u^2-4), z = -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [995611/2097152, 995611/2097152], [-1048577/1048576, -1]]]], [[2, 15
, 2, 3, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y <
2*u^2-4), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191
/524288, -1546381/1048576], [995611/2097152, 995611/2097152], [0, 0]]]], [[2,
15, 2, 3, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y
< 2*u^2-4), z = (u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576
], [995611/2097152, 995611/2097152], [1, 1048577/1048576]]]], [[2, 15, 2, 3, 5
], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(0 < y,y < 2*u^2-4),
(u^2-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [995611
/2097152, 995611/2097152], [3, 3]]]], [[3, 1, 7, 6, 1], [And(-2^(1/2) < v,v <
-1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [0, 0], [0, 0]]]], [
[3, 2, 9, 7, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, And(1-x
< y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [2, 2], [-1/2, -1/2], [0, 0]]]], [[3, 7, 7
, 5, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^
2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-225185/2097152, -\
225185/2097152], [-2, -2]]]], [[3, 7, 7, 5, 2], [And(-2^(1/2) < v,v < -1), And
(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y
< 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [
-225185/2097152, -225185/2097152], [-595135/1048576, -1190269/2097152]]]], [[3
, 7, 7, 5, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-
u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (
-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-\
225185/2097152, -225185/2097152], [-1/4194304, -1/4194304]]]], [[3, 7, 7, 5, 4
], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 <
x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-225185/2097152, -225185/2097152], [297567/
524288, 595135/1048576]]]], [[3, 7, 7, 5, 5], [And(-2^(1/2) < v,v < -1), And(v
< u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0
), (-x-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-\
225185/2097152, -225185/2097152], [2, 2]]]], [[3, 9, 2, 4, 1], [And(-2^(1/2) <
v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+
v^2+1, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0],
[-2576463/1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [-1, -\
1]]]], [[3, 9, 2, 4, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u <
(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288
], [1288231/524288, 2576463/1048576], [0, 0]]]], [[3, 9, 2, 4, 3], [And(-2^(1/
2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y =
-u^2+v^2+1, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [0,
0], [-2576463/1048576, -1288231/524288], [1288231/524288, 2576463/1048576], [1
, 1]]]], [[3, 17, 11, 5, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2
-v^2-1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [8, 8], [-9916495/2097152, -9916495/
2097152], [0, 0]]]], [[4, 2, 2, 4, 1], [v = -1, u = -3^(1/2), x = -3, y = 3, z
< 0], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3
], [3, 3], [-1, -1]]]], [[4, 2, 2, 4, 2], [v = -1, u = -3^(1/2), x = -3, y = 3
, z = 0], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3
, -3], [3, 3], [0, 0]]]], [[4, 2, 2, 4, 3], [v = -1, u = -3^(1/2), x = -3, y =
3, 0 < z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-\
3, -3], [3, 3], [1, 1]]]], [[4, 6, 6, 7, 1], [v = -1, u = -1, x = 1, 0 < y, z
= z], [regular_chain, [[-1, -1], [-1, -1], [1, 1], [1, 1], [0, 0]]]], [[4, 8,
2, 3, 1], [v = -1, u = 0, x = -2, And(0 < y,y < 2), z < -(2-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [1, 1], [-2, -2]]]], [[4, 8, 2, 3,
2], [v = -1, u = 0, x = -2, And(0 < y,y < 2), z = -(2-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [1, 1], [-1, -1]]]], [[4, 8, 2, 3,
3], [v = -1, u = 0, x = -2, And(0 < y,y < 2), And(-(2-y)^(1/2) < z,z < (2-y)^(
1/2))], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [1, 1], [0, 0]]]], [[4, 8
, 2, 3, 4], [v = -1, u = 0, x = -2, And(0 < y,y < 2), z = (2-y)^(1/2)], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [1, 1], [1, 1]]]], [[4, 8, 2, 3, 5
], [v = -1, u = 0, x = -2, And(0 < y,y < 2), (2-y)^(1/2) < z], [regular_chain,
[[-1, -1], [0, 0], [-2, -2], [1, 1], [2, 2]]]], [[4, 14, 4, 2, 1], [v = -1, u
= 3^(1/2), x = -1, y = -2, z < -3^(1/2)], [regular_chain, [[-1, -1], [908093/
524288, 1816187/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[4, 14, 4, 2, 2],
[v = -1, u = 3^(1/2), x = -1, y = -2, z = -3^(1/2)], [regular_chain, [[-1, -1]
, [908093/524288, 1816187/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -\
3632373/2097152]]]], [[4, 14, 4, 2, 3], [v = -1, u = 3^(1/2), x = -1, y = -2,
And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1, -1], [908093/524288, 
1816187/1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[4, 14, 4,
2, 4], [v = -1, u = 3^(1/2), x = -1, y = -2, z = 3^(1/2)], [regular_chain, [[-\
1, -1], [908093/524288, 1816187/1048576], [-1, -1], [-2, -2], [908093/524288,
1816187/1048576]]]], [[4, 14, 4, 2, 5], [v = -1, u = 3^(1/2), x = -1, y = -2,
3^(1/2) < z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1
, -1], [-2, -2], [3, 3]]]], [[4, 15, 8, 3, 1], [v = -1, 3^(1/2) < u, x = 1, 
And(-u^2-1 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[-1, -1], [3, 3],
[1, 1], [-11/2, -11/2], [-4, -4]]]], [[4, 15, 8, 3, 2], [v = -1, 3^(1/2) < u,
x = 1, And(-u^2-1 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[-1, -1],
[3, 3], [1, 1], [-11/2, -11/2], [-1112183/524288, -2224365/1048576]]]], [[4, 
15, 8, 3, 3], [v = -1, 3^(1/2) < u, x = 1, And(-u^2-1 < y,y < -1), And(-(-y-1)
^(1/2) < z,z < (-y-1)^(1/2))], [regular_chain, [[-1, -1], [3, 3], [1, 1], [-11
/2, -11/2], [0, 0]]]], [[4, 15, 8, 3, 4], [v = -1, 3^(1/2) < u, x = 1, And(-u^
2-1 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[-1, -1], [3, 3], [1, 1],
[-11/2, -11/2], [2224365/1048576, 1112183/524288]]]], [[4, 15, 8, 3, 5], [v =
-1, 3^(1/2) < u, x = 1, And(-u^2-1 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[-1, -1], [3, 3], [1, 1], [-11/2, -11/2], [4, 4]]]], [[5, 4, 9
, 1, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, z < -(-x-y)^
(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2,
2], [-5, -5], [-3, -3]]]], [[5, 4, 9, 1, 2], [And(-1 < v,v < 0), u = -(v^2+1)^
(1/2), 1 < x, y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [2, 2], [-5, -5], [-1816187/1048576, -\
3632373/2097152]]]], [[5, 4, 9, 1, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2),
1 < x, y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [-5, -5], [-1/4194304,
-1/4194304]]]], [[5, 4, 9, 1, 4], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 <
x, y < -x-2, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072
, -1172343/1048576], [2, 2], [-5, -5], [908093/524288, 1816187/1048576]]]], [[
5, 4, 9, 1, 5], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, y < -x-2, (-x-y
)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576
], [2, 2], [-5, -5], [3, 3]]]], [[5, 6, 2, 4, 1], [And(-1 < v,v < 0), u = v, x
= -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1
, 1], [-1, -1]]]], [[5, 6, 2, 4, 2], [And(-1 < v,v < 0), u = v, x = -1, y = 1,
z = 0], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [0, 0]]
]], [[5, 6, 2, 4, 3], [And(-1 < v,v < 0), u = v, x = -1, y = 1, 0 < z], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1, -1], [1, 1], [1, 1]]]], [[5,
9, 7, 9, 1], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1
< x,x < 0), -x < y, z = z], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [2, 2], [0, 0]]]], [[5
, 11, 3, 1, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [-2, -2], [-3, -3]]]], [[5, 11, 3, 1, 2], [And(-1
< v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [
343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2],
[-8102461/4194304, -16204921/8388608]]]], [[5, 11, 3, 1, 3], [And(-1 < v,v < 0
), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -
u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2,
-1/2], [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [
-2, -2], [-1/16777216, -1/16777216]]]], [[5, 11, 3, 1, 4], [And(-1 < v,v < 0),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2
+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 
343151/262144], [-1815885/1048576, -1815885/1048576], [-2, -2], [2025615/
1048576, 126601/65536]]]], [[5, 11, 3, 1, 5], [And(-1 < v,v < 0), And((v^2+1)^
(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-
x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144]
, [-1815885/1048576, -1815885/1048576], [-2, -2], [3, 3]]]], [[6, 2, 1, 8, 1],
[v = 0, u = -2^(1/2), x < -3, y = 1-x, z = z], [regular_chain, [[0, 0], [-\
1482911/1048576, -741455/524288], [-4, -4], [5, 5], [0, 0]]]], [[6, 3, 5, 9, 1
], [v = 0, And(-2^(1/2) < u,u < -1), And(-1 < x,x < 0), u^2-x-1 < y, z = z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [-1/2, -1/2], [2
, 2], [0, 0]]]], [[6, 9, 8, 1, 1], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1,
y < -2*u^2, z < -(-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576,
1265743/1048576], [239655/524288, 479311/1048576], [-4, -4], [-3, -3]]]], [[6,
9, 8, 1, 2], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y < -2*u^2, z = -(-u^2
-y+1)^(1/2)], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [
239655/524288, 479311/1048576], [-4, -4], [-7894761/4194304, -15789521/8388608
]]]], [[6, 9, 8, 1, 3], [v = 0, And(1 < u,u < 2^(1/2)), x = u^2-1, y < -2*u^2,
And(-(-u^2-y+1)^(1/2) < z,z < (-u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [-4, -4],
[-1/16777216, -1/16777216]]]], [[6, 9, 8, 1, 4], [v = 0, And(1 < u,u < 2^(1/2)
), x = u^2-1, y < -2*u^2, z = (-u^2-y+1)^(1/2)], [regular_chain, [[0, 0], [
1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [-4, -4],
[986845/524288, 1973691/1048576]]]], [[6, 9, 8, 1, 5], [v = 0, And(1 < u,u < 2
^(1/2)), x = u^2-1, y < -2*u^2, (-u^2-y+1)^(1/2) < z], [regular_chain, [[0, 0]
, [1265743/1048576, 1265743/1048576], [239655/524288, 479311/1048576], [-4, -4
], [3, 3]]]], [[6, 11, 1, 2, 1], [v = 0, 2^(1/2) < u, x < -u^2-1, y = 0, z < -
(-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [0, 0], [-5, -5]]]],
[[6, 11, 1, 2, 2], [v = 0, 2^(1/2) < u, x < -u^2-1, y = 0, z = -(-x)^(1/2)], [
regular_chain, [[0, 0], [3, 3], [-11, -11], [0, 0], [-1738867/524288, -3477733
/1048576]]]], [[6, 11, 1, 2, 3], [v = 0, 2^(1/2) < u, x < -u^2-1, y = 0, And(-
(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-11, -11],
[0, 0], [0, 0]]]], [[6, 11, 1, 2, 4], [v = 0, 2^(1/2) < u, x < -u^2-1, y = 0,
z = (-x)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [0, 0], [3477733
/1048576, 1738867/524288]]]], [[6, 11, 1, 2, 5], [v = 0, 2^(1/2) < u, x < -u^2
-1, y = 0, (-x)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-11, -11], [0, 0
], [5, 5]]]], [[7, 3, 11, 2, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-\
4680347/1048576, -2340173/524288], [-3, -3]]]], [[7, 3, 11, 2, 2], [And(0 < v,
v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [2, 2], [-4680347/1048576, -2340173/524288], [-3291611/2097152, -\
1645805/1048576]]]], [[7, 3, 11, 2, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z
< (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/
262144], [2, 2], [-4680347/1048576, -2340173/524288], [0, 0]]]], [[7, 3, 11, 2
, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y
= -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/
262144, -343151/262144], [2, 2], [-4680347/1048576, -2340173/524288], [1645805
/1048576, 822903/524288]]]], [[7, 3, 11, 2, 5], [And(0 < v,v < 1), And(-(v^2+2
)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-\
4680347/1048576, -2340173/524288], [3, 3]]]], [[7, 5, 6, 1, 1], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(-u^
2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-624419/1048576, -1248837/2097152], [-2, -2], [-3, -3]]]], [[7, 5,
6, 1, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y
< -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-2,
-2], [-52791/32768, -3378623/2097152]]]], [[7, 5, 6, 1, 3], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^
2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-2,
-2], [-1/4194304, -1/4194304]]]], [[7, 5, 6, 1, 4], [And(0 < v,v < 1), And(-(v
^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(
1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-2, -2], [1689311/1048576, 52791/32768]]]]
, [[7, 5, 6, 1, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2
-v^2-1, y < -2*u^2+2*v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1/2, 1/
2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152],
[-2, -2], [3, 3]]]], [[8, 1, 5, 5, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0)
, And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-\
1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[8, 1, 5, 5, 2], [v = 1, u < -3^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1,
1], [-3, -3], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[8, 1, 5, 5, 3], [v
= 1, u < -3^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [1/4, 1/
4], [0, 0]]]], [[8, 1, 5, 5, 4], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(
0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1
/2], [1/4, 1/4], [1/2, 1/2]]]], [[8, 1, 5, 5, 5], [v = 1, u < -3^(1/2), And(-1
< x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [-3
, -3], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[8, 2, 8, 1, 1], [v = 1, u = -3^(
1/2), x = 1, y < -4, z < -(-y-1)^(1/2)], [regular_chain, [[1, 1], [-1816187/
1048576, -3632373/2097152], [1, 1], [-5, -5], [-3, -3]]]], [[8, 2, 8, 1, 2], [
v = 1, u = -3^(1/2), x = 1, y < -4, z = -(-y-1)^(1/2)], [regular_chain, [[1, 1
], [-1816187/1048576, -3632373/2097152], [1, 1], [-5, -5], [-2, -2]]]], [[8, 2
, 8, 1, 3], [v = 1, u = -3^(1/2), x = 1, y < -4, And(-(-y-1)^(1/2) < z,z < (-y
-1)^(1/2))], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1
, 1], [-5, -5], [0, 0]]]], [[8, 2, 8, 1, 4], [v = 1, u = -3^(1/2), x = 1, y <
-4, z = (-y-1)^(1/2)], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/
2097152], [1, 1], [-5, -5], [2, 2]]]], [[8, 2, 8, 1, 5], [v = 1, u = -3^(1/2),
x = 1, y < -4, (-y-1)^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576,
-3632373/2097152], [1, 1], [-5, -5], [3, 3]]]], [[8, 7, 5, 4, 1], [v = 1, And(
-1 < u,u < 0), And(-1 < x,x < -u^2), y = 0, z < -(-x)^(1/2)], [regular_chain,
[[1, 1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [-2, -2]]]], [[8, 7, 5, 4, 2], [v
= 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = 0, z = -(-x)^(1/2)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [-3315889/4194304,
-207243/262144]]]], [[8, 7, 5, 4, 3], [v = 1, And(-1 < u,u < 0), And(-1 < x,x
< -u^2), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[1, 1],
[-1/2, -1/2], [-5/8, -5/8], [0, 0], [0, 0]]]], [[8, 7, 5, 4, 4], [v = 1, And(-\
1 < u,u < 0), And(-1 < x,x < -u^2), y = 0, z = (-x)^(1/2)], [regular_chain, [[
1, 1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [207243/262144, 828973/1048576]]]],
[[8, 7, 5, 4, 5], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = 0, (-x)
^(1/2) < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [0, 0], [2,
2]]]], [[8, 8, 9, 7, 1], [v = 1, u = 0, 1 < x, 0 < y, z = z], [regular_chain,
[[1, 1], [0, 0], [2, 2], [1, 1], [0, 0]]]], [[8, 14, 9, 4, 1], [v = 1, u = 3^(
1/2), 1 < x, y = -x, z < 0], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [2, 2], [-2, -2], [-1, -1]]]], [[8, 14, 9, 4, 2], [v = 1, u = 3^(1/2
), 1 < x, y = -x, z = 0], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [2, 2], [-2, -2], [0, 0]]]], [[8, 14, 9, 4, 3], [v = 1, u = 3^(1/2),
1 < x, y = -x, 0 < z], [regular_chain, [[1, 1], [908093/524288, 1816187/
1048576], [2, 2], [-2, -2], [1, 1]]]], [[9, 1, 2, 7, 1], [And(1 < v,v < 2^(1/2
)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937/524288
, -8957873/1048576], [17, 17], [0, 0]]]], [[9, 5, 5, 5, 1], [And(1 < v,v < 2^(
1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y
< u^2-v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [122559/1048576, 122559/1048576], [-2, -2]]]], [[9, 5, 5, 5, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2
-1), And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [122559/1048576, 122559/1048576], [-422485/524288,
-3379879/4194304]]]], [[9, 5, 5, 5, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), And(
-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -\
3213831/4194304], [122559/1048576, 122559/1048576], [-3/8388608, -3/8388608]]]
], [[9, 5, 5, 5, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
And(-1 < x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [122559/1048576, 
122559/1048576], [844969/1048576, 422485/524288]]]], [[9, 5, 5, 5, 5], [And(1
< v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), 
And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [122559/1048576, 122559/1048576], [2, 2]]]], [[9,
7, 2, 6, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-
v^2-1, y = -u^2+v^2+1, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/
1048576], [1646781/1048576, 823391/524288], [-1, -1]]]], [[9, 7, 2, 6, 2], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^
2+v^2+1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
1646781/1048576, 823391/524288], [0, 0]]]], [[9, 7, 2, 6, 3], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -u^2+v^2+1, 0 < z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [1646781/1048576, 
823391/524288], [1, 1]]]], [[9, 9, 11, 4, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[9,
9, 11, 4, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2
)), 1 < x, y = -x, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576]
, [0, 0], [2, 2], [-2, -2], [0, 0]]]], [[9, 9, 11, 4, 3], [And(1 < v,v < 2^(1/
2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -x, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-2, -2],
[1, 1]]]], [[9, 11, 6, 7, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x = -u^2+v^2-1, u^2-v^2+1 < y, z = z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144, -450371
/1048576], [2, 2], [0, 0]]]], [[9, 16, 2, 1, 1], [And(1 < v,v < 2^(1/2)), u =
(v^2+2)^(1/2), x = -3, y < 0, z < -(3-y)^(1/2)], [regular_chain, [[1265743/
1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [-1, -1]
, [-3, -3]]]], [[9, 16, 2, 1, 2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2),
x = -3, y < 0, z = -(3-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [121853/65536, 1949649/1048576], [-3, -3], [-1, -1], [-2, -2]]]], [[
9, 16, 2, 1, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y < 0, 
And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1265743/1048576, 
1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [-1, -1], [0, 0]]
]], [[9, 16, 2, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y <
0, z = (3-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-3, -3], [-1, -1], [2, 2]]]], [[9, 16, 2, 1,
5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y < 0, (3-y)^(1/2) < z
], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649
/1048576], [-3, -3], [-1, -1], [3, 3]]]], [[9, 17, 6, 6, 1], [And(1 < v,v < 2^
(1/2)), (v^2+2)^(1/2) < u, x = 0, y = u^2-v^2-1, z = z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [6860721/1048576, 3430361/
524288], [0, 0]]]], [[10, 5, 11, 5, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v)
, 1 < x, And(u^2-x-3 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-\
9490147/4194304, -9490147/4194304], [-2, -2]]]], [[10, 5, 11, 5, 2], [v = 2^(1
/2), And(-3^(1/2) < u,u < -v), 1 < x, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-9490147/4194304, -9490147/4194304], [-268683/
524288, -1074731/2097152]]]], [[10, 5, 11, 5, 3], [v = 2^(1/2), And(-3^(1/2) <
u,u < -v), 1 < x, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1
/2))], [regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -\
6598195/4194304], [2, 2], [-9490147/4194304, -9490147/4194304], [-1/4194304, -\
1/4194304]]]], [[10, 5, 11, 5, 4], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 <
x, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/524288
, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-9490147/
4194304, -9490147/4194304], [537365/1048576, 268683/524288]]]], [[10, 5, 11, 5
, 5], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, And(u^2-x-3 < y,y < -x),
(-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-9490147/4194304, -9490147/
4194304], [2, 2]]]], [[10, 7, 8, 6, 1], [v = 2^(1/2), And(-v < u,u < -1), x =
0, y = 0, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743
/1048576, -1265743/1048576], [0, 0], [0, 0], [-1, -1]]]], [[10, 7, 8, 6, 2], [
v = 2^(1/2), And(-v < u,u < -1), x = 0, y = 0, z = 0], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [0, 0],
[0, 0], [0, 0]]]], [[10, 7, 8, 6, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 0,
y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [0, 0], [1, 1]]]], [[10, 11, 11, 4, 1], [v
= 2^(1/2), And(0 < u,u < 1), 1 < x, y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-2, -2], [-1, -1]]]], [[10, 11,
11, 4, 2], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-2, -2]
, [0, 0]]]], [[10, 11, 11, 4, 3], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y = -
x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2,
2], [-2, -2], [1, 1]]]], [[10, 13, 6, 7, 1], [v = 2^(1/2), And(1 < u,u < v), x
= -u^2+1, u^2-1 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576]
, [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [2, 2
], [0, 0]]]], [[11, 3, 2, 4, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[3, 3], [
-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [
653799/262144, 2615197/1048576], [-1, -1]]]], [[11, 3, 2, 4, 2], [2^(1/2) < v,
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z =
0], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [653799/262144, 2615197/1048576], [0, 0]]]], [[11, 3
, 2, 4, 3], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2
+v^2-1, y = u^2-v^2+1, 0 < z], [regular_chain, [[3, 3], [-3396811/1048576, -\
3396811/1048576], [-2615197/1048576, -653799/262144], [653799/262144, 2615197/
1048576], [1, 1]]]], [[11, 4, 6, 1, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
0, y < -2, z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [0, 0], [-3, -3], [-3, -3]]]], [[11, 4, 6, 1, 2], [2^(1/2) < v,
u = -(v^2+1)^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [0, 0], [-3, -3], [-1816187/1048576, -\
3632373/2097152]]]], [[11, 4, 6, 1, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), x =
0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [-\
3315889/1048576, -207243/65536], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]]
, [[11, 4, 6, 1, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), x = 0, y < -2, z = (-y)
^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [0, 0], [
-3, -3], [908093/524288, 1816187/1048576]]]], [[11, 4, 6, 1, 5], [2^(1/2) < v,
u = -(v^2+1)^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[3, 3], [
-3315889/1048576, -207243/65536], [0, 0], [-3, -3], [3, 3]]]], [[11, 9, 4, 1,
1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y < u^2-
v^2, z < -(1-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369
/8388608], [-1, -1], [-3, -3], [-3, -3]]]], [[11, 9, 4, 1, 2], [2^(1/2) < v, 
And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y < u^2-v^2, z = -(1-y)^(1
/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1
], [-3, -3], [-2, -2]]]], [[11, 9, 4, 1, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), x = -1, y < u^2-v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(
1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1,
-1], [-3, -3], [0, 0]]]], [[11, 9, 4, 1, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2)
< u,u < -(v^2-2)^(1/2)), x = -1, y < u^2-v^2, z = (1-y)^(1/2)], [regular_chain
, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-3, -3], [2, 2]]
]], [[11, 9, 4, 1, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)
), x = -1, y < u^2-v^2, (1-y)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-3, -3], [3, 3]]]], [[11, 10, 6, 4, 1]
, [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[3,
3], [-5548543/2097152, -2774271/1048576], [0, 0], [0, 0], [-1, -1]]]], [[11, 
10, 6, 4, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y = 0, z = 0], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [0, 0],
[0, 0]]]], [[11, 10, 6, 4, 3], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y = 0,
0 < z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0],
[0, 0], [1, 1]]]], [[11, 16, 3, 2, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 0),
y = -1-x, z < -1], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/2, -1/2]
, [-2, -2]]]], [[11, 16, 3, 2, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y =
-1-x, z = -1], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [-\
1, -1]]]], [[11, 16, 3, 2, 3], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = -1-
x, And(-1 < z,z < 1)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/2, -\
1/2], [0, 0]]]], [[11, 16, 3, 2, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y
= -1-x, z = 1], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [
1, 1]]]], [[11, 16, 3, 2, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = -1-x
, 1 < z], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]
]], [[11, 17, 10, 8, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y
= 0, z = z], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1],
[0, 0], [0, 0]]]], [[1, 2, 3, 5, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3
< x,x < -1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-1738867/524288, -3477733/1048576], [-2, -2], [1, 1], [-2, -2]]]], [[1, 2, 3,
5, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x
), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-2, -2], [1, 1], [-1, -1]]]], [[1, 2, 3, 5, 3], [v < -2^(1/2), u =
-(v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-2, -2], [1, 1], [0, 0]]]], [[1, 2, 3, 5, 4], [v < -2^(1/2), u = -(
v^2+2)^(1/2), And(-3 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [1, 1
], [1, 1]]]], [[1, 2, 3, 5, 5], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,
x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-\
1738867/524288, -3477733/1048576], [-2, -2], [1, 1], [2, 2]]]], [[1, 3, 7, 6,
1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0 < x,x < u
^2-v^2-1), y = 0, z = z], [regular_chain, [[-3, -3], [-3396811/1048576, -\
3396811/1048576], [129511/524288, 129511/524288], [0, 0], [0, 0]]]], [[1, 8, 4
, 1, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y < -1, z < -(1-y)^(1/2)],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-\
2, -2], [-3, -3]]]], [[1, 8, 4, 1, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), x =
-1, y < -1, z = -(1-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/2097152]]]]
, [[1, 8, 4, 1, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y < -1, And(-(1
-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-3, -3], [-2965821/1048576,
-11863283/4194304], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[1, 8, 4
, 1, 4], [v < -2^(1/2), u = -(v^2-1)^(1/2), x = -1, y < -1, z = (1-y)^(1/2)],
[regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-1, -1], [-\
2, -2], [908093/524288, 1816187/1048576]]]], [[1, 8, 4, 1, 5], [v < -2^(1/2),
u = -(v^2-1)^(1/2), x = -1, y < -1, (1-y)^(1/2) < z], [regular_chain, [[-3, -3
], [-2965821/1048576, -11863283/4194304], [-1, -1], [-2, -2], [3, 3]]]], [[1,
9, 9, 5, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u
^2+v^2-1 < x,x < 1), And(-x < y,y < -u^2+v^2-x-1), z = z], [regular_chain, [[-\
3, -3], [-22960369/8388608, -22960369/8388608], [395403/524288, 395403/524288]
, [-1048577/2097152, -1048577/2097152], [0, 0]]]], [[1, 15, 5, 6, 1], [v < -2^
(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2
-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [133001/524288, 266003/
1048576], [-2, -2]]]], [[1, 15, 5, 6, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u
,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [133001/524288, 266003/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[1, 15, 5, 6, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) <
z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [133001/524288, 266003/
1048576], [-1/4194304, -1/4194304]]]], [[1, 15, 5, 6, 4], [v < -2^(1/2), And((
v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152
], [-391287/524288, -391287/524288], [133001/524288, 266003/1048576], [367989/
524288, 735979/1048576]]]], [[1, 15, 5, 6, 5], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [133001/524288, 266003/1048576], [2, 2]]]], [[1, 17,
2, 3, 1], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0
< y,y < 2*u^2-2*v^2), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [517383/
1048576, 517383/1048576], [-3, -3]]]], [[1, 17, 2, 3, 2], [v < -2^(1/2), And(-
v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = -(u^
2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072],
[-195745/131072, -1565959/1048576], [517383/1048576, 517383/1048576], [-\
1048577/1048576, -1]]]], [[1, 17, 2, 3, 3], [v < -2^(1/2), And(-v < u,u < (v^2
+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), And(-(u^2-v^2-y+1)^(1/
2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-195745/131072, -1565959/1048576], [517383/1048576, 517383/
1048576], [0, 0]]]], [[1, 17, 2, 3, 4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = -u^2+v^2-1, And(0 < y,y < 2*u^2-2*v^2), z = (u^2-v^2-y+1)^(1/2)],
[regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [517383/1048576, 517383/1048576], [1, 1048577/1048576]]]], [
[1, 17, 2, 3, 5], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1
, And(0 < y,y < 2*u^2-2*v^2), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3,
-3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [
517383/1048576, 517383/1048576], [3, 3]]]], [[1, 21, 5, 5, 1], [v < -2^(1/2),
(v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1,
21, 5, 5, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 < y,y
< -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [1
/4, 1/4], [-1/2, -1/2]]]], [[1, 21, 5, 5, 3], [v < -2^(1/2), (v^2+2)^(1/2) < u
, And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[
1, 21, 5, 5, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(0 <
y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2],
[1/4, 1/4], [1/2, 1/2]]]], [[1, 21, 5, 5, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u
, And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
3, -3], [5, 5], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[2, 1, 7, 6, 1], [v = -2
^(1/2), u < -2, And(0 < x,x < 1), y = 0, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1/2, 1/2], [0, 0], [0, 0]]]], [[2, 10, 5,
4, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [0,
0], [-2, -2]]]], [[2, 10, 5, 4, 2], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0
, 0], [-1/2, -1/2], [0, 0], [-1482911/2097152, -741455/1048576]]]], [[2, 10, 5
, 4, 3], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z
< (-x)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [
-1/2, -1/2], [0, 0], [0, 0]]]], [[2, 10, 5, 4, 4], [v = -2^(1/2), u = 0, And(-\
1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [0, 0], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]]
, [[2, 10, 5, 4, 5], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = 0, (-x)^(1/2
) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1
/2], [0, 0], [2, 2]]]], [[2, 11, 9, 7, 1], [v = -2^(1/2), And(0 < u,u < 1), 
And(-u^2+1 < x,x < 1), And(-u^2-x+1 < y,y < 0), z = z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [-1/16, -1/16], [0,
0]]]], [[2, 16, 6, 4, 1], [v = -2^(1/2), u = 3^(1/2), x = 0, y = 0, z < 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [0, 0], [0, 0], [-1, -1]]]], [[2, 16, 6, 4, 2], [v = -2^(1/2), u = 3
^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [0, 0], [0, 0], [0, 0]]]], [[2, 16,
6, 4, 3], [v = -2^(1/2), u = 3^(1/2), x = 0, y = 0, 0 < z], [regular_chain, [[
-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [0, 0], [
0, 0], [1, 1]]]], [[2, 17, 11, 4, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1
< x, y = -x, z < 0], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [2, 2], [-2, -2], [-1, -1]]]], [[2, 17, 11,
4, 2], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, y = -x, z = 0], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [-2, -2], [0, 0]]]], [[2, 17, 11, 4, 3], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), 1 < x, y = -x, 0 < z], [regular_chain, [[-1482911/1048576,
-741455/524288], [3913339/2097152, 3913339/2097152], [2, 2], [-2, -2], [1, 1]]
]], [[3, 4, 4, 4, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y
= 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1, -1], [0, 0], [-2, -2]]]], [[3, 4, 4, 4, 2], [
And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = 0, z = -1], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [0, 0], [-1, -1]]]], [[3, 4, 4, 4, 3], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [0, 0], [0, 0]]]], [[3, 4, 4, 4, 4], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = 0, z = 1], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -\
1], [0, 0], [1, 1]]]], [[3, 4, 4, 4, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+
1)^(1/2), x = -1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-410915/262144, -3287319/2097152], [-1, -1], [0, 0], [2, 2]]]], [[3
, 5, 9, 8, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0
< x,x < 1), y = 0, z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [0, 0], [0, 0]]]],
[[3, 10, 6, 5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, 0 < y,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288,
708939/1048576], [0, 0], [1, 1], [0, 0]]]], [[3, 11, 11, 5, 1], [And(-2^(1/2)
< v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[987341/1048576, 987341/1048576], [2, 2], [-4644675/2097152, -4644675/2097152]
, [-2, -2]]]], [[3, 11, 11, 5, 2], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2
) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-4644675/2097152, -4644675/2097152], [-485927/1048576, -\
242963/524288]]]], [[3, 11, 11, 5, 3], [And(-2^(1/2) < v,v < -1), And((v^2-1)^
(1/2) < u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [-4644675/2097152, -4644675/2097152],
[0, 0]]]], [[3, 11, 11, 5, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) <
u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-4644675/2097152, -4644675/2097152], [242963/524288, 485927
/1048576]]]], [[3, 11, 11, 5, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2)
< u,u < -v), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-4644675/2097152, -4644675/2097152], [2, 2]]]], [[3, 15, 4,
4, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -1, y = 0, z < -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [0, 0], [-2, -2]]]], [[3, 15, 4, 4, 2
], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1
, y = 0, z = -1], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [0, 0], [-1, -1]]]], [[3, 15, 4, 4, 3
], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1
, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [898327/524288, 898327/524288], [-1, -1], [0, 0], [0, 0]]]], [[3, 15
, 4, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)
), x = -1, y = 0, z = 1], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [898327/524288, 898327/524288], [-1, -1], [0, 0], [1, 1]]]], [[3, 15, 4, 4,
5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -\
1, y = 0, 1 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [0, 0], [2, 2]]]], [[3, 16, 6, 3, 1],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z < -(
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[3, 16, 6, 3, 2],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(
-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [0, 0], [-3/2, -3/2], [-1284239/1048576, -642119/
524288]]]], [[3, 16, 6, 3, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
= 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [0, 0]
, [-3/2, -3/2], [0, 0]]]], [[3, 16, 6, 3, 4], [And(-2^(1/2) < v,v < -1), u = (
v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [
-3/2, -3/2], [642119/524288, 1284239/1048576]]]], [[3, 16, 6, 3, 5], [And(-2^(
1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 
1949649/1048576], [0, 0], [-3/2, -3/2], [3, 3]]]], [[4, 3, 7, 5, 1], [v = -1,
And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(-x < y,y < 0), z = z
], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-248903/2097152, -248903/2097152], [0, 0]]]], [[4,
5, 2, 4, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 2*u^2-2, z < -(-
u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576]
, [-1527887/1048576, -763943/524288], [958621/1048576, 479311/524288], [-2, -2
]]]], [[4, 5, 2, 4, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 2*u^2
-2, z = -(-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [958621/1048576, 479311/
524288], [-772605/1048576, -1545209/2097152]]]], [[4, 5, 2, 4, 3], [v = -1, 
And(-2^(1/2) < u,u < -1), x = -u^2, y = 2*u^2-2, And(-(-u^2+2)^(1/2) < z,z < (
-u^2+2)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1527887/1048576, -763943/524288], [958621/1048576, 479311/524288],
[-1/4194304, -1/4194304]]]], [[4, 5, 2, 4, 4], [v = -1, And(-2^(1/2) < u,u < -\
1), x = -u^2, y = 2*u^2-2, z = (-u^2+2)^(1/2)], [regular_chain, [[-1, -1], [-\
1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [
958621/1048576, 479311/524288], [193151/262144, 772605/1048576]]]], [[4, 5, 2,
4, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y = 2*u^2-2, (-u^2+2)^(1/2
) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1527887/1048576, -763943/524288], [958621/1048576, 479311/524288], [2, 2]]]],
[[4, 11, 6, 1, 1], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, z
< -(-u^2-y+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-1138531/2097152, -569265/1048576], [-2, -2], [-3, -3]]]], [[4, 11,
6, 1, 2], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, z = -(-u^2
-y+2)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [
-1138531/2097152, -569265/1048576], [-2, -2], [-1672107/1048576, -3344213/
2097152]]]], [[4, 11, 6, 1, 3], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y
< -2*u^2+2, And(-(-u^2-y+2)^(1/2) < z,z < (-u^2-y+2)^(1/2))], [regular_chain,
[[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/2097152, -569265/
1048576], [-2, -2], [-1/4194304, -1/4194304]]]], [[4, 11, 6, 1, 4], [v = -1, 
And(1 < u,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, z = (-u^2-y+2)^(1/2)], [
regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-1138531/
2097152, -569265/1048576], [-2, -2], [836053/524288, 1672107/1048576]]]], [[4,
11, 6, 1, 5], [v = -1, And(1 < u,u < 2^(1/2)), x = u^2-2, y < -2*u^2+2, (-u^2-
y+2)^(1/2) < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576]
, [-1138531/2097152, -569265/1048576], [-2, -2], [3, 3]]]], [[4, 13, 1, 2, 1],
[v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = 0, z < -(-x)^(1/2)], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [0, 0]
, [-3, -3]]]], [[4, 13, 1, 2, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -
u^2, y = 0, z = -(-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-4, -4], [0, 0], [-2, -2]]]], [[4, 13, 1, 2, 3], [v = -1, 
And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1
/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4]
, [0, 0], [0, 0]]]], [[4, 13, 1, 2, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, y = 0, z = (-x)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152,
3299097/2097152], [-4, -4], [0, 0], [2, 2]]]], [[4, 13, 1, 2, 5], [v = -1, And
(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = 0, (-x)^(1/2) < z], [regular_chain, [
[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [0, 0], [3, 3]]]], [[5
, 1, 11, 2, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^
2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [
9, 9], [-75/4, -75/4], [-5, -5]]]], [[5, 1, 11, 2, 2], [And(-1 < v,v < 0), u <
-(v^2+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-75/4, -75/4], [-1637089/
524288, -3274177/1048576]]]], [[5, 1, 11, 2, 3], [And(-1 < v,v < 0), u < -(v^2
+2)^(1/2), u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^
2-v^2+1)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-75/4, -75
/4], [0, 0]]]], [[5, 1, 11, 2, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2
-v^2-1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2,
-1/2], [-3, -3], [9, 9], [-75/4, -75/4], [3274177/1048576, 1637089/524288]]]],
[[5, 1, 11, 2, 5], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y =
-u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-3, -3],
[9, 9], [-75/4, -75/4], [5, 5]]]], [[5, 3, 4, 3, 1], [And(-1 < v,v < 0), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z < -(
1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144],
[-1, -1], [-767309/1048576, -767309/1048576], [-3, -3]]]], [[5, 3, 4, 3, 2], [
And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^
2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [-\
1379889/1048576, -86243/65536]]]], [[5, 3, 4, 3, 3], [And(-1 < v,v < 0), And(-
(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(
1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-343151/
262144, -343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [0, 0]]
]], [[5, 3, 4, 3, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^
(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [-767309/1048576, -\
767309/1048576], [86243/65536, 1379889/1048576]]]], [[5, 3, 4, 3, 5], [And(-1
< v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 <
y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1, -1], [-767309/1048576, -767309/1048576], [3, 3]]]], [[5,
12, 5, 8, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), y = 1-
x, z = z], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [3/2, 3/2]
, [0, 0]]]], [[5, 13, 9, 9, 1], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, And(1 <
x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-1/2, -1/2], [3,
3], [35/8, 35/8], [5, 5], [0, 0]]]], [[6, 5, 1, 9, 1], [v = 0, And(-1 < u,u <
0), x < -u^2-1, -x < y, z = z], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3
], [4, 4], [0, 0]]]], [[6, 6, 5, 2, 1], [v = 0, u = 0, And(0 < x,x < 1), y = -\
1-x, z < -1], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-2,
-2]]]], [[6, 6, 5, 2, 2], [v = 0, u = 0, And(0 < x,x < 1), y = -1-x, z = -1],
[regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-3/2, -3/2], [-1, -1]]]], [[6, 6
, 5, 2, 3], [v = 0, u = 0, And(0 < x,x < 1), y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-3/2, -3/2], [0, 0]]]], [[6, 6, 5
, 2, 4], [v = 0, u = 0, And(0 < x,x < 1), y = -1-x, z = 1], [regular_chain, [[
0, 0], [0, 0], [1/2, 1/2], [-3/2, -3/2], [1, 1]]]], [[6, 6, 5, 2, 5], [v = 0,
u = 0, And(0 < x,x < 1), y = -1-x, 1 < z], [regular_chain, [[0, 0], [0, 0], [1
/2, 1/2], [-3/2, -3/2], [2, 2]]]], [[7, 1, 4, 2, 1], [And(0 < v,v < 1), u < -(
v^2+2)^(1/2), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1/2, 1/2], [-3, -3], [-1, -1], [-35/4, -35/4], [-5, -5]]]], [[7, 1, 4, 2, 2],
[And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-35/4, -35/4], [-\
1637089/524288, -3274177/1048576]]]], [[7, 1, 4, 2, 3], [And(0 < v,v < 1), u <
-(v^2+2)^(1/2), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+
1)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-35/4, -35/4], [
0, 0]]]], [[7, 1, 4, 2, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y =
-u^2+v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1,
-1], [-35/4, -35/4], [3274177/1048576, 1637089/524288]]]], [[7, 1, 4, 2, 5], [
And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-35/4, -35/4], [5, 5]]
]], [[7, 2, 6, 1, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, y < -3, z
< -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [-4, -4], [
-3, -3]]]], [[7, 2, 6, 1, 2], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, y
< -3, z = -(-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [-4
, -4], [-2, -2]]]], [[7, 2, 6, 1, 3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x
= 0, y < -3, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [0, 0], [-4, -4], [0, 0]]]], [[7, 2, 6, 1, 4], [And(0 < v,v <
1), u = -(v^2+2)^(1/2), x = 0, y < -3, z = (-y)^(1/2)], [regular_chain, [[1/2,
1/2], [-3/2, -3/2], [0, 0], [-4, -4], [2, 2]]]], [[7, 2, 6, 1, 5], [And(0 < v,
v < 1), u = -(v^2+2)^(1/2), x = 0, y < -3, (-y)^(1/2) < z], [regular_chain, [[
1/2, 1/2], [-3/2, -3/2], [0, 0], [-4, -4], [3, 3]]]], [[7, 7, 3, 8, 1], [And(0
< v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -x, z < 0], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [9/8, 9/8], [-1, -1]]]], [[7
, 7, 3, 8, 2], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1)
, y = -x, z = 0], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [9/8, 9/8
], [0, 0]]]], [[7, 7, 3, 8, 3], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-
v^2-1 < x,x < -1), y = -x, 0 < z], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8,
-9/8], [9/8, 9/8], [1, 1]]]], [[7, 8, 7, 3, 1], [And(0 < v,v < 1), u = v, 1 <
x, And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [1/2
, 1/2], [2, 2], [-5/2, -5/2], [-2, -2]]]], [[7, 8, 7, 3, 2], [And(0 < v,v < 1)
, u = v, 1 < x, And(-1-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/
2, 1/2], [1/2, 1/2], [2, 2], [-5/2, -5/2], [-1482911/2097152, -741455/1048576]
]]], [[7, 8, 7, 3, 3], [And(0 < v,v < 1), u = v, 1 < x, And(-1-x < y,y < -x),
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [1/2, 1
/2], [2, 2], [-5/2, -5/2], [0, 0]]]], [[7, 8, 7, 3, 4], [And(0 < v,v < 1), u =
v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [1/2, 1/2], [2, 2], [-5/2, -5/2], [741455/1048576, 46341/65536]]]], [[7, 8,
7, 3, 5], [And(0 < v,v < 1), u = v, 1 < x, And(-1-x < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-5/2, -5/2], [2, 2]]]]
, [[7, 11, 9, 6, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2
)), And(u^2-v^2-1 < x,x < 1), y = u^2-v^2-x-1, z = z], [regular_chain, [[1/2,
1/2], [343151/262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-\
70317/262144, -281267/1048576], [0, 0]]]], [[7, 13, 3, 2, 1], [And(0 < v,v < 1
), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/8, -\
35/8], [-5, -5]]]], [[7, 13, 3, 2, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, 
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/8, -35/8], [-1637089/
524288, -3274177/1048576]]]], [[7, 13, 3, 2, 3], [And(0 < v,v < 1), (v^2+2)^(1
/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2)
< z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/
8], [-35/8, -35/8], [0, 0]]]], [[7, 13, 3, 2, 4], [And(0 < v,v < 1), (v^2+2)^(
1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)]
, [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/8, -35/8], [
3274177/1048576, 1637089/524288]]]], [[7, 13, 3, 2, 5], [And(0 < v,v < 1), (v^
2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/8, -35/8], [
5, 5]]]], [[8, 4, 1, 7, 1], [v = 1, u = -2^(1/2), x < -2, -x < y, z = z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [4, 4],
[0, 0]]]], [[8, 5, 8, 3, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2
< y,y < u^2-2), z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576,
-1265743/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [-2, -2]]]],
[[8, 5, 8, 3, 2], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2 < y,y < u^
2-2), z = -(-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [-8388607/8388608, -\
4398045986815/4398046511104]]]], [[8, 5, 8, 3, 3], [v = 1, And(-2^(1/2) < u,u
< -1), x = 0, And(-u^2 < y,y < u^2-2), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
4194303/4194304, -4194303/4194304], [-3670015/8796093022208, -3670015/
8796093022208]]]], [[8, 5, 8, 3, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = 0,
And(-u^2 < y,y < u^2-2), z = (-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [-4194303/4194304, -4194303/4194304], [
1048575/1048576, 1]]]], [[8, 5, 8, 3, 5], [v = 1, And(-2^(1/2) < u,u < -1), x
= 0, And(-u^2 < y,y < u^2-2), (-y)^(1/2) < z], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-4194303/4194304, -4194303/
4194304], [2, 2]]]], [[8, 11, 11, 3, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x
, And(-u^2-x < y,y < u^2-x-2), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [-2, -2]]]], [[8, 11, 11, 3, 2], [v = 1, And(1 < u,u < 2^(1/2)), 1 <
x, And(-u^2-x < y,y < u^2-x-2), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [2, 2], [-12582911/4194304, -12582911/
4194304], [-8388607/8388608, -4398045986815/4398046511104]]]], [[8, 11, 11, 3,
3], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And(-u^2-x < y,y < u^2-x-2), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576,
1265743/1048576], [2, 2], [-12582911/4194304, -12582911/4194304], [-3670015/
8796093022208, -3670015/8796093022208]]]], [[8, 11, 11, 3, 4], [v = 1, And(1 <
u,u < 2^(1/2)), 1 < x, And(-u^2-x < y,y < u^2-x-2), z = (-x-y)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-12582911
/4194304, -12582911/4194304], [1048575/1048576, 1]]]], [[8, 11, 11, 3, 5], [v
= 1, And(1 < u,u < 2^(1/2)), 1 < x, And(-u^2-x < y,y < u^2-x-2), (-x-y)^(1/2)
< z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
12582911/4194304, -12582911/4194304], [2, 2]]]], [[8, 13, 6, 6, 1], [v = 1, 
And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = u^2-2, z = z], [regular_chain, [[1, 1
], [3299097/2097152, 3299097/2097152], [0, 0], [497805/1048576, 248903/524288]
, [0, 0]]]], [[9, 2, 5, 4, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [0, 0],
[-2, -2]]]], [[9, 2, 5, 4, 2], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [0, 0],
[-1482911/2097152, -741455/1048576]]]], [[9, 2, 5, 4, 3], [And(1 < v,v < 2^(1/
2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x
)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1/2, -1/2], [0, 0], [0, 0]]]], [[9, 2, 5, 4, 4],
[And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = 0, z = (-x
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/
2097152, -7798593/4194304], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536
]]]], [[9, 2, 5, 4, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 <
x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [0, 0], [2, 2]]]
], [[9, 3, 10, 2, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = 1, y = -u^2+v^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1
, 1], [-1823847/524288, -3647693/1048576], [-3, -3]]]], [[9, 3, 10, 2, 2], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y =
-u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-1823847/
524288, -3647693/1048576], [-3301741/2097152, -825435/524288]]]], [[9, 3, 10,
2, 3], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [1, 1], [-1823847/524288, -3647693/1048576], [0, 0]]]], [[9
, 3, 10, 2, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(
1/2)), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1,
1], [-1823847/524288, -3647693/1048576], [825435/524288, 1650871/1048576]]]],
[[9, 3, 10, 2, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1,
1], [-1823847/524288, -3647693/1048576], [3, 3]]]], [[9, 13, 4, 1, 1], [And(1
< v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-
y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [-2, -2], [-3, -3]]]], [[9, 13, 4, 1, 2],
[And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z
= -(1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701
/1048576, 1454701/1048576], [-1, -1], [-2, -2], [-1816187/1048576, -3632373/
2097152]]]], [[9, 13, 4, 1, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[9, 13, 4, 1, 4],
[And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y < -u^2+v^2, z
= (1-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576
]]]], [[9, 13, 4, 1, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2))
, x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-2, -2], [3,
3]]]], [[9, 14, 8, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y
= -3, z < -2^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [1, 1], [-3, -3], [-3, -3]]]], [[9, 14, 8, 2,
2], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y = -3, z = -2^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [-3, -3], [-1482911/1048576, -741455/524288]]]], [[9, 14, 8,
2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y = -3, And(-2^(1/2)
< z,z < 2^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [1, 1], [-3, -3], [0, 0]]]], [[9, 14, 8, 2, 4
], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y = -3, z = 2^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [-3, -3], [741455/524288, 1482911/1048576]]]], [[9, 14, 8, 2,
5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y = -3, 2^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [-3, -3], [3, 3]]]], [[10, 1, 9, 2, 1], [v = 2^(1/2), u < -2,
And(1 < x,x < u^2-3), y = -u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-23/2, -23/2], [-4, -4
]]]], [[10, 1, 9, 2, 2], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y = -u^2-
x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
-3, -3], [7/2, 7/2], [-23/2, -23/2], [-2965821/1048576, -11863283/4194304]]]],
[[10, 1, 9, 2, 3], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y = -u^2-x+1, 
And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [7/2, 7/2], [-23/2, -23/2], [-3/8388608, -3/
8388608]]]], [[10, 1, 9, 2, 4], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y
= -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [7/2, 7/2], [-23/2, -23/2], [741455/262144, 2965821/
1048576]]]], [[10, 1, 9, 2, 5], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y
= -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-3, -3], [7/2, 7/2], [-23/2, -23/2], [4, 4]]]], [[10, 3, 2, 7, 1],
[v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, 2*u^2-4 < y, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-650655/262144, -2602619/1048576], [4, 4], [0, 0]]]], [[10, 9, 4, 2
, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, y = u^2-2, z < -(-u^2+3)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [
-7/4, -7/4], [-3, -3]]]], [[10, 9, 4, 2, 2], [v = 2^(1/2), And(-1 < u,u < 0),
x = -1, y = u^2-2, z = -(-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-1, -1], [-7/4, -7/4], [-1738867/1048576, -\
3477733/2097152]]]], [[10, 9, 4, 2, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = -\
1, y = u^2-2, And(-(-u^2+3)^(1/2) < z,z < (-u^2+3)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [-7/4, -7/4], [-1/
4194304, -1/4194304]]]], [[10, 9, 4, 2, 4], [v = 2^(1/2), And(-1 < u,u < 0), x
= -1, y = u^2-2, z = (-u^2+3)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [-1/2, -1/2], [-1, -1], [-7/4, -7/4], [869433/524288, 1738867/
1048576]]]], [[10, 9, 4, 2, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, y = u
^2-2, (-u^2+3)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1/2, -1/2], [-1, -1], [-7/4, -7/4], [3, 3]]]], [[10, 10, 6, 5, 1], [v = 2^(1
/2), u = 0, x = 0, And(0 < y,y < 1), z = z], [regular_chain, [[741455/524288,
1482911/1048576], [0, 0], [0, 0], [1/2, 1/2], [0, 0]]]], [[10, 15, 4, 1, 1], [
v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y < -u^2+2, z < -(1-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/
2097152], [-1, -1], [-2, -2], [-3, -3]]]], [[10, 15, 4, 1, 2], [v = 2^(1/2), 
And(v < u,u < 3^(1/2)), x = -1, y < -u^2+2, z = -(1-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1
], [-2, -2], [-1816187/1048576, -3632373/2097152]]]], [[10, 15, 4, 1, 3], [v =
2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y < -u^2+2, And(-(1-y)^(1/2) < z,z <
(1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [-2, -2], [-1/4194304, -1/4194304]]]], [[
10, 15, 4, 1, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y < -u^2+2, z
= (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [-2, -2], [908093/524288, 1816187/1048576
]]]], [[10, 15, 4, 1, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y < -u
^2+2, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-1, -1], [-2, -2], [3, 3]]]], [[10, 16, 8,
2, 1], [v = 2^(1/2), u = 3^(1/2), x = 1, y = -3, z < -2^(1/2)], [regular_chain
, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1],
[-3, -3], [-3, -3]]]], [[10, 16, 8, 2, 2], [v = 2^(1/2), u = 3^(1/2), x = 1, y
= -3, z = -2^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [
908093/524288, 1816187/1048576], [1, 1], [-3, -3], [-1482911/1048576, -741455/
524288]]]], [[10, 16, 8, 2, 3], [v = 2^(1/2), u = 3^(1/2), x = 1, y = -3, And(
-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[908093/524288, 1816187/1048576], [1, 1], [-3, -3], [0, 0]]]], [[10, 16, 8, 2,
4], [v = 2^(1/2), u = 3^(1/2), x = 1, y = -3, z = 2^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [-3
, -3], [741455/524288, 1482911/1048576]]]], [[10, 16, 8, 2, 5], [v = 2^(1/2),
u = 3^(1/2), x = 1, y = -3, 2^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [908093/524288, 1816187/1048576], [1, 1], [-3, -3], [3, 3]]]
], [[10, 19, 6, 3, 1], [v = 2^(1/2), 2 < u, x = 0, And(-u^2+1 < y,y < 0), z <
-(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0
], [-4, -4], [-3, -3]]]], [[10, 19, 6, 3, 2], [v = 2^(1/2), 2 < u, x = 0, And(
-u^2+1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [0, 0], [-4, -4], [-2, -2]]]], [[10, 19, 6, 3, 3], [v = 2^(1
/2), 2 < u, x = 0, And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))]
, [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [-4, -4],
[0, 0]]]], [[10, 19, 6, 3, 4], [v = 2^(1/2), 2 < u, x = 0, And(-u^2+1 < y,y <
0), z = (-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3]
, [0, 0], [-4, -4], [2, 2]]]], [[10, 19, 6, 3, 5], [v = 2^(1/2), 2 < u, x = 0,
And(-u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [0, 0], [-4, -4], [3, 3]]]], [[11, 1, 8, 8, 1], [2^(
1/2) < v, u < -(v^2+2)^(1/2), x = 1, y = u^2-v^2-2, z = z], [regular_chain, [[
3, 3], [-5, -5], [1, 1], [14, 14], [0, 0]]]], [[11, 5, 11, 4, 1], [2^(1/2) < v
, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1
/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-\
2628345/1048576, -5256689/2097152], [-2, -2]]]], [[11, 5, 11, 4, 2], [2^(1/2)
< v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z = -(-u^2+v^2+1)
^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-\
2628345/1048576, -5256689/2097152], [-373161/524288, -1492643/2097152]]]], [[
11, 5, 11, 4, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2
-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain
, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-2628345/1048576, -\
5256689/2097152], [-1/4194304, -1/4194304]]]], [[11, 5, 11, 4, 4], [2^(1/2) <
v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1
/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-\
2628345/1048576, -5256689/2097152], [746321/1048576, 373161/524288]]]], [[11,
5, 11, 4, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = u^2-v^2
-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [2, 2], [-2628345/1048576, -5256689/2097152], [2, 2]]]], [[11,
7, 8, 5, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2
-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152], [-2, -2]]]], [[
11, 7, 8, 5, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2
+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152], [-\
16263/32768, -520415/1048576]]]], [[11, 7, 8, 5, 3], [2^(1/2) < v, And(-v < u,
u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
0, 0], [-516571/2097152, -516571/2097152], [0, 0]]]], [[11, 7, 8, 5, 4], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z =
(-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0
, 0], [-516571/2097152, -516571/2097152], [520415/1048576, 16263/32768]]]], [[
11, 7, 8, 5, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(-u^2
+v^2-1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/2097152
, -6111549/2097152], [0, 0], [-516571/2097152, -516571/2097152], [2, 2]]]], [[
11, 13, 4, 6, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x =
-1, y = 1, z < 0], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288],
[-1, -1], [1, 1], [-1, -1]]]], [[11, 13, 4, 6, 2], [2^(1/2) < v, And((v^2-2)^(
1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 1, z = 0], [regular_chain, [[3, 3], [
1435023/524288, 1435023/524288], [-1, -1], [1, 1], [0, 0]]]], [[11, 13, 4, 6,
3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, y = 1, 0 <
z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [1, 1
], [1, 1]]]], [[11, 14, 8, 7, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, 0 <
y, z = z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1],
[1, 1], [0, 0]]]], [[11, 19, 6, 1, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z < -(-y)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [0, 0], [-4, -4], [-3, -3]]]], [[11, 
19, 6, 1, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y
< -u^2+v^2-1, z = -(-y)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[11, 19, 6, 1, 3], [2^(1/2)
< v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, And(-(-y
)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [0, 0], [-4, -4], [0, 0]]]], [[11, 19, 6, 1, 4], [2^(1/2) <
v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, z = (-y)^(
1/2)], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [-\
4, -4], [2, 2]]]], [[11, 19, 6, 1, 5], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = 0, y < -u^2+v^2-1, (-y)^(1/2) < z], [regular_chain, [[3, 3
], [3396811/1048576, 3396811/1048576], [0, 0], [-4, -4], [3, 3]]]], [[11, 20,
8, 6, 1], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [0, 0], [0,
0]]]], [[1, 5, 3, 7, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^
2+v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [1041671/1048576, 1041671/1048576], [-2, -2]]]], [[1, 5, 3,
7, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1
), And(u^2-v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3],
[-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [
1041671/1048576, 1041671/1048576], [-1055459/2097152, -527729/1048576]]]], [[1
, 5, 3, 7, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/
2097152, -2614535/2097152], [1041671/1048576, 1041671/1048576], [0, 0]]]], [[1
, 5, 3, 7, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 <
x,x < -1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152]
, [1041671/1048576, 1041671/1048576], [527729/1048576, 263865/524288]]]], [[1,
5, 3, 7, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,
x < -1), And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3,
-3], [-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [
1041671/1048576, 1041671/1048576], [2, 2]]]], [[1, 6, 7, 2, 1], [v < -2^(1/2),
u = v, 1 < x, y = -1-x, z < -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2],
[-3, -3], [-2, -2]]]], [[1, 6, 7, 2, 2], [v < -2^(1/2), u = v, 1 < x, y = -1-x
, z = -1], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-3, -3], [-1, -1]]]],
[[1, 6, 7, 2, 3], [v < -2^(1/2), u = v, 1 < x, y = -1-x, And(-1 < z,z < 1)], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [-3, -3], [0, 0]]]], [[1, 6, 7, 2,
4], [v < -2^(1/2), u = v, 1 < x, y = -1-x, z = 1], [regular_chain, [[-3, -3],
[-3, -3], [2, 2], [-3, -3], [1, 1]]]], [[1, 6, 7, 2, 5], [v < -2^(1/2), u = v,
1 < x, y = -1-x, 1 < z], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-3, -3]
, [2, 2]]]], [[1, 11, 3, 4, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain
, [[-3, -3], [0, 0], [-11/2, -11/2], [0, 0], [-4, -4]]]], [[1, 11, 3, 4, 2], [
v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x <
-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2
], [0, 0], [-2459129/1048576, -307391/131072]]]], [[1, 11, 3, 4, 3], [v < -2^(
1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [0, 0],
[-11/2, -11/2], [0, 0], [0, 0]]]], [[1, 11, 3, 4, 4], [v < -2^(1/2), And(-(v^2
-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, z = (-x)^(
1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [0, 0], [307391/
131072, 2459129/1048576]]]], [[1, 11, 3, 4, 5], [v < -2^(1/2), And(-(v^2-2)^(1
/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = 0, (-x)^(1/2) < z],
[regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [0, 0], [4, 4]]]], [[1, 12,
5, 3, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y
< 0), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/
4096], [-1/2, -1/2], [-5/4, -5/4], [-3, -3]]]], [[1, 12, 5, 3, 2], [v < -2^(1/
2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/
2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [
-5/4, -5/4], [-10837/8192, -1387135/1048576]]]], [[1, 12, 5, 3, 3], [v < -2^(1
/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1
/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837
/4096], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[1, 12, 5, 3, 4], [v < -2^(1/2
), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)
], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-5
/4, -5/4], [1387135/1048576, 10837/8192]]]], [[1, 12, 5, 3, 5], [v < -2^(1/2),
u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z],
[regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [-5/4,
-5/4], [3, 3]]]], [[1, 18, 6, 5, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0,
0 < y, z = z], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0,
0], [1, 1], [0, 0]]]], [[1, 19, 11, 5, 1], [v < -2^(1/2), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), 1 < x, And(-x < y,y < u^2-v^2-x-1), z = z], [
regular_chain, [[-3, -3], [3396811/1048576, 3396811/1048576], [2, 2], [-919065
/524288, -919065/524288], [0, 0]]]], [[2, 3, 1, 5, 1], [v = -2^(1/2), And(-2 <
u,u < -3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [-3, -3]]]], [
[2, 3, 1, 5, 2], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-u^2
-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [5785989/
2097152, 5785989/2097152], [-4563/4096, -1168127/1048576]]]], [[2, 3, 1, 5, 3]
, [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < -x
), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [
5785989/2097152, 5785989/2097152], [0, 0]]]], [[2, 3, 1, 5, 4], [v = -2^(1/2),
And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [5785989/2097152, 5785989/2097152], [1168127/
1048576, 4563/4096]]]], [[2, 3, 1, 5, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/
2)), x < -u^2+1, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4
, -4], [5785989/2097152, 5785989/2097152], [3, 3]]]], [[2, 4, 4, 3, 1], [v = -
2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-1/2, -1/2], [-3, -3]]]], [[2, 4, 4, 3, 2], [v =
-2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]
], [[2, 4, 4, 3, 3], [v = -2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y < 0), 
And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2],
[0, 0]]]], [[2, 4, 4, 3, 4], [v = -2^(1/2), u = -3^(1/2), x = -1, And(-1 < y,y
< 0), z = (1-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
-1816187/1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2], [642119/524288, 
1284239/1048576]]]], [[2, 4, 4, 3, 5], [v = -2^(1/2), u = -3^(1/2), x = -1, 
And(-1 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [-1/2, -1/2],
[3, 3]]]], [[2, 7, 7, 6, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,
x < 0), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/
1048576], [0, 0], [-2, -2]]]], [[2, 7, 7, 6, 2], [v = -2^(1/2), And(v < u,u <
-1), And(-u^2+1 < x,x < 0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [0, 0], [-501295/1048576, -250647/524288]]]]
, [[2, 7, 7, 6, 3], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y
= 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1265743/1048576, -1265743/1048576], [-239655/1048576, -\
239655/1048576], [0, 0], [0, 0]]]], [[2, 7, 7, 6, 4], [v = -2^(1/2), And(v < u
,u < -1), And(-u^2+1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [0, 0], [250647/524288, 501295/1048576]]]],
[[2, 7, 7, 6, 5], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y =
0, (-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
1265743/1048576, -1265743/1048576], [-239655/1048576, -239655/1048576], [0, 0]
, [2, 2]]]], [[2, 9, 2, 5, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = u^2-3, 
And(-u^2+3 < y,y < -2*u^2+4), z = z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1/2, -1/2], [-11/4, -11/4], [25/8, 25/8], [0, 0]]]], [[2, 13
, 5, 5, 1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(0 <
y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [35579/262144, 35579/262144], [-2, -2]]]], [[2, 13, 5, 5, 2]
, [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2
-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288]
, [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [
35579/262144, 35579/262144], [-201839/262144, -3229423/4194304]]]], [[2, 13, 5
, 5, 3], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(0 < y,y
< -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [35579/262144, 35579/262144], [-3/8388608,
-3/8388608]]]], [[2, 13, 5, 5, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 <
x,x < -u^2+1), And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [35579/262144, 35579/262144], [807355/
1048576, 201839/262144]]]], [[2, 13, 5, 5, 5], [v = -2^(1/2), And(1 < u,u < -v
), And(-1 < x,x < -u^2+1), And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [35579/262144, 35579/262144],
[2, 2]]]], [[2, 15, 2, 2, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2
+1, y = 0, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576
], [0, 0], [-3, -3]]]], [[2, 15, 2, 2, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/
2)), x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191/524288,
-1546381/1048576], [0, 0], [-1273381/1048576, -318345/262144]]]], [[2, 15, 2,
2, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y = 0, And(-(u^2-1)
^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576
], [0, 0], [0, 0]]]], [[2, 15, 2, 2, 4], [v = -2^(1/2), And(-v < u,u < 3^(1/2)
), x = -u^2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381
/1048576], [0, 0], [318345/262144, 1273381/1048576]]]], [[2, 15, 2, 2, 5], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y = 0, (u^2-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [0, 0], [3, 3]]]], [[3, 1, 7, 7,
1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), And(0 < y
,y < u^2-v^2-x-1), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [1/2, 1/2], [6336433/2097152, 6336433/2097152], [0, 0]]]],
[[3, 2, 9, 8, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+2)^(1/2), 1 < x, y = 0,
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3899297/
2097152, -7798593/4194304], [2, 2], [0, 0], [0, 0]]]], [[3, 7, 7, 4, 1], [And(
-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0)
, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [-112593/524288, -225185/1048576], [-2, -2]]]], [[3
, 7, 7, 4, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-
u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-112593/524288, -225185
/1048576], [-1374407/2097152, -687203/1048576]]]], [[3, 7, 7, 4, 3], [And(-2^(
1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y
= -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-112593/524288, -225185
/1048576], [0, 0]]]], [[3, 7, 7, 4, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u
< -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1
)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-112593/
524288, -225185/1048576], [687203/1048576, 171801/262144]]]], [[3, 7, 7, 4, 5]
, [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x
,x < 0), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [-112593/524288, -225185/1048576], [2, 2]]]], [[3,
9, 2, 3, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/
2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [1288231/1048576, 1288231/1048576], [-3, -3]]]], [[
3, 9, 2, 3, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^
(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), z = -(-u^2+v^2-y+1)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [1288231/1048576, 1288231/1048576], [-290561/262144
, -1162243/1048576]]]], [[3, 9, 2, 3, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2
-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), 
And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288
], [1288231/1048576, 1288231/1048576], [0, 0]]]], [[3, 9, 2, 3, 4], [And(-2^(1
/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, And
(0 < y,y < -u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [
1288231/1048576, 1288231/1048576], [1162243/1048576, 290561/262144]]]], [[3, 9
, 2, 3, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2
)), x = u^2-v^2-1, And(0 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [1288231/1048576, 1288231/1048576], [3, 3]]]], [[3,
17, 11, 4, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y
= -x, z < 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [
8, 8], [-8, -8], [-1, -1]]]], [[3, 17, 11, 4, 2], [And(-2^(1/2) < v,v < -1), (
v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [8, 8], [-8, -8], [0, 0]]]], [[3, 17, 11,
4, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -x, 0
< z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [
-8, -8], [1, 1]]]], [[4, 2, 2, 3, 1], [v = -1, u = -3^(1/2), x = -3, And(0 < y
,y < 3), z < -(3-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[4, 2, 2, 3, 2], [v = -1
, u = -3^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [regular_chain, [
[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3/2, 3/2], [-\
1284239/1048576, -642119/524288]]]], [[4, 2, 2, 3, 3], [v = -1, u = -3^(1/2),
x = -3, And(0 < y,y < 3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [
regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3], [3/2
, 3/2], [0, 0]]]], [[4, 2, 2, 3, 4], [v = -1, u = -3^(1/2), x = -3, And(0 < y,
y < 3), z = (3-y)^(1/2)], [regular_chain, [[-1, -1], [-1816187/1048576, -\
3632373/2097152], [-3, -3], [3/2, 3/2], [642119/524288, 1284239/1048576]]]], [
[4, 2, 2, 3, 5], [v = -1, u = -3^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2)
< z], [regular_chain, [[-1, -1], [-1816187/1048576, -3632373/2097152], [-3, -3
], [3/2, 3/2], [3, 3]]]], [[4, 6, 7, 1, 1], [v = -1, u = -1, 1 < x, y < -1-x,
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-4, -4], [-3
, -3]]]], [[4, 6, 7, 1, 2], [v = -1, u = -1, 1 < x, y < -1-x, z = -(-x-y)^(1/2
)], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-4, -4], [-1482911/1048576,
-741455/524288]]]], [[4, 6, 7, 1, 3], [v = -1, u = -1, 1 < x, y < -1-x, And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1], [-1, -1], [2, 2
], [-4, -4], [0, 0]]]], [[4, 6, 7, 1, 4], [v = -1, u = -1, 1 < x, y < -1-x, z
= (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-4, -4], [
741455/524288, 1482911/1048576]]]], [[4, 6, 7, 1, 5], [v = -1, u = -1, 1 < x,
y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1, -1], [2, 2], [-4,
-4], [3, 3]]]], [[4, 8, 2, 4, 1], [v = -1, u = 0, x = -2, y = 2, z < 0], [
regular_chain, [[-1, -1], [0, 0], [-2, -2], [2, 2], [-1, -1]]]], [[4, 8, 2, 4,
2], [v = -1, u = 0, x = -2, y = 2, z = 0], [regular_chain, [[-1, -1], [0, 0],
[-2, -2], [2, 2], [0, 0]]]], [[4, 8, 2, 4, 3], [v = -1, u = 0, x = -2, y = 2,
0 < z], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [2, 2], [1, 1]]]], [[4, 
14, 4, 1, 1], [v = -1, u = 3^(1/2), x = -1, y < -2, z < -(1-y)^(1/2)], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [-3, -3]
, [-3, -3]]]], [[4, 14, 4, 1, 2], [v = -1, u = 3^(1/2), x = -1, y < -2, z = -(
1-y)^(1/2)], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1,
-1], [-3, -3], [-2, -2]]]], [[4, 14, 4, 1, 3], [v = -1, u = 3^(1/2), x = -1, y
< -2, And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1, -1], [
908093/524288, 1816187/1048576], [-1, -1], [-3, -3], [0, 0]]]], [[4, 14, 4, 1,
4], [v = -1, u = 3^(1/2), x = -1, y < -2, z = (1-y)^(1/2)], [regular_chain, [[
-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [-3, -3], [2, 2]]]], [[4,
14, 4, 1, 5], [v = -1, u = 3^(1/2), x = -1, y < -2, (1-y)^(1/2) < z], [
regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-1, -1], [-3, -3]
, [3, 3]]]], [[4, 15, 8, 2, 1], [v = -1, 3^(1/2) < u, x = 1, y = -u^2-1, z < -
u], [regular_chain, [[-1, -1], [3, 3], [1, 1], [-10, -10], [-4, -4]]]], [[4, 
15, 8, 2, 2], [v = -1, 3^(1/2) < u, x = 1, y = -u^2-1, z = -u], [regular_chain
, [[-1, -1], [3, 3], [1, 1], [-10, -10], [-3, -3]]]], [[4, 15, 8, 2, 3], [v =
-1, 3^(1/2) < u, x = 1, y = -u^2-1, And(-u < z,z < u)], [regular_chain, [[-1,
-1], [3, 3], [1, 1], [-10, -10], [0, 0]]]], [[4, 15, 8, 2, 4], [v = -1, 3^(1/2
) < u, x = 1, y = -u^2-1, z = u], [regular_chain, [[-1, -1], [3, 3], [1, 1], [
-10, -10], [3, 3]]]], [[4, 15, 8, 2, 5], [v = -1, 3^(1/2) < u, x = 1, y = -u^2
-1, u < z], [regular_chain, [[-1, -1], [3, 3], [1, 1], [-10, -10], [4, 4]]]],
[[5, 4, 9, 2, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, z <
-2^(1/2)], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576],
[2, 2], [-4, -4], [-3, -3]]]], [[5, 4, 9, 2, 2], [And(-1 < v,v < 0), u = -(v^2
+1)^(1/2), 1 < x, y = -x-2, z = -2^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [2, 2], [-4, -4], [-1482911/1048576, -741455
/524288]]]], [[5, 4, 9, 2, 3], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x,
y = -x-2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1/2, -1/2], [-\
146543/131072, -1172343/1048576], [2, 2], [-4, -4], [0, 0]]]], [[5, 4, 9, 2, 4
], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), 1 < x, y = -x-2, z = 2^(1/2)], [
regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [2, 2], [-4,
-4], [741455/524288, 1482911/1048576]]]], [[5, 4, 9, 2, 5], [And(-1 < v,v < 0)
, u = -(v^2+1)^(1/2), 1 < x, y = -x-2, 2^(1/2) < z], [regular_chain, [[-1/2, -\
1/2], [-146543/131072, -1172343/1048576], [2, 2], [-4, -4], [3, 3]]]], [[5, 6,
2, 5, 1], [And(-1 < v,v < 0), u = v, x = -1, 1 < y, z = z], [regular_chain, [[
-1/2, -1/2], [-1/2, -1/2], [-1, -1], [2, 2], [0, 0]]]], [[5, 9, 7, 8, 1], [And
(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -
x, z < 0], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-1248837/4194304, -1248837/4194304], [312209/1048576, 156105/524288], [-1, -1
]]]], [[5, 9, 7, 8, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And
(u^2-v^2-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [1696631
/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304], [312209/
1048576, 156105/524288], [0, 0]]]], [[5, 9, 7, 8, 3], [And(-1 < v,v < 0), And(
-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/
4194304, -1248837/4194304], [312209/1048576, 156105/524288], [1, 1]]]], [[5, 
11, 2, 7, 1], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x
= -u^2+v^2-1, 2*u^2-2*v^2 < y, z = z], [regular_chain, [[-1/2, -1/2], [343151/
262144, 343151/262144], [-2583195/1048576, -1291597/524288], [4, 4], [0, 0]]]]
, [[6, 2, 1, 9, 1], [v = 0, u = -2^(1/2), x < -3, 1-x < y, z = z], [
regular_chain, [[0, 0], [-1482911/1048576, -741455/524288], [-4, -4], [6, 6],
[0, 0]]]], [[6, 3, 6, 1, 1], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2
-1, z < -(-y)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [0, 0], [-4, -4], [-3, -3]]]], [[6, 3, 6, 1, 2], [v = 0, And(-2^(1/2
) < u,u < -1), x = 0, y < -u^2-1, z = -(-y)^(1/2)], [regular_chain, [[0, 0], [
-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [-2, -2]]]], [[6, 3, 6,
1, 3], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2-1, And(-(-y)^(1/2) <
z,z < (-y)^(1/2))], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/
1048576], [0, 0], [-4, -4], [0, 0]]]], [[6, 3, 6, 1, 4], [v = 0, And(-2^(1/2)
< u,u < -1), x = 0, y < -u^2-1, z = (-y)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-4, -4], [2, 2]]]], [[6, 3, 6, 1,
5], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2-1, (-y)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [-4, -4]
, [3, 3]]]], [[6, 9, 7, 9, 1], [v = 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u
^2-1), u^2-x-1 < y, z = z], [regular_chain, [[0, 0], [1265743/1048576, 1265743
/1048576], [239655/1048576, 239655/1048576], [2, 2], [0, 0]]]], [[6, 11, 1, 1,
1], [v = 0, 2^(1/2) < u, x < -u^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain
, [[0, 0], [3, 3], [-11, -11], [-1, -1], [-5, -5]]]], [[6, 11, 1, 1, 2], [v =
0, 2^(1/2) < u, x < -u^2-1, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[0, 0]
, [3, 3], [-11, -11], [-1, -1], [-1816187/524288, -3632373/1048576]]]], [[6, 
11, 1, 1, 3], [v = 0, 2^(1/2) < u, x < -u^2-1, y < 0, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-11, -11], [-1, -1], [0, 0
]]]], [[6, 11, 1, 1, 4], [v = 0, 2^(1/2) < u, x < -u^2-1, y < 0, z = (-x-y)^(1
/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [-1, -1], [3632373/1048576,
1816187/524288]]]], [[6, 11, 1, 1, 5], [v = 0, 2^(1/2) < u, x < -u^2-1, y < 0,
(-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-11, -11], [-1, -1], [5,
5]]]], [[7, 3, 11, 3, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+
1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-\
3388749/1048576, -3388749/1048576], [-3, -3]]]], [[7, 3, 11, 3, 2], [And(0 < v
,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576], [-1163761/
1048576, -72735/65536]]]], [[7, 3, 11, 3, 3], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y
)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144,
-343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576], [0, 0]]]], [[7,
3, 11, 3, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1
< x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1
/2], [-343151/262144, -343151/262144], [2, 2], [-3388749/1048576, -3388749/
1048576], [72735/65536, 1163761/1048576]]]], [[7, 3, 11, 3, 5], [And(0 < v,v <
1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, And(-u^2+v^2-x-1 < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-343151/262144, -\
343151/262144], [2, 2], [-3388749/1048576, -3388749/1048576], [3, 3]]]], [[7,
5, 6, 2, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1,
y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-\
848315/1048576, -3393259/4194304], [-3, -3]]]], [[7, 5, 6, 2, 2], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u
^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/
4194304], [-19417/16384, -1242687/1048576]]]], [[7, 5, 6, 2, 3], [And(0 < v,v
< 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, And(-(u
^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-\
848315/1048576, -3393259/4194304], [0, 0]]]], [[7, 5, 6, 2, 4], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-
v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/
4194304], [1242687/1048576, 19417/16384]]]], [[7, 5, 6, 2, 5], [And(0 < v,v <
1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/
2097152], [-624419/1048576, -1248837/2097152], [-848315/1048576, -3393259/
4194304], [3, 3]]]], [[8, 1, 5, 6, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0)
, y = -x, z < 0], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [1/2, 1/2],
[-1, -1]]]], [[8, 1, 5, 6, 2], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), y = -x
, z = 0], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [0, 0]]
]], [[8, 1, 5, 6, 3], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), y = -x, 0 < z],
[regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[8, 2
, 8, 2, 1], [v = 1, u = -3^(1/2), x = 1, y = -4, z < -3^(1/2)], [regular_chain
, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [-4, -4], [-3, -3]]]]
, [[8, 2, 8, 2, 2], [v = 1, u = -3^(1/2), x = 1, y = -4, z = -3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [-4, -4]
, [-1816187/1048576, -3632373/2097152]]]], [[8, 2, 8, 2, 3], [v = 1, u = -3^(1
/2), x = 1, y = -4, And(-3^(1/2) < z,z < 3^(1/2))], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [1, 1], [-4, -4], [-1/4194304, -1/4194304
]]]], [[8, 2, 8, 2, 4], [v = 1, u = -3^(1/2), x = 1, y = -4, z = 3^(1/2)], [
regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1, 1], [-4, -4]
, [908093/524288, 1816187/1048576]]]], [[8, 2, 8, 2, 5], [v = 1, u = -3^(1/2),
x = 1, y = -4, 3^(1/2) < z], [regular_chain, [[1, 1], [-1816187/1048576, -\
3632373/2097152], [1, 1], [-4, -4], [3, 3]]]], [[8, 7, 5, 3, 1], [v = 1, And(-\
1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), z < -(-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-9/16, -9/16], [-3, -3
]]]], [[8, 7, 5, 3, 2], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u
^2-x-2 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2],
[-5/8, -5/8], [-9/16, -9/16], [-285665/262144, -1142659/1048576]]]], [[8, 7, 5
, 3, 3], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y <
0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1], [-1/2,
-1/2], [-5/8, -5/8], [-9/16, -9/16], [0, 0]]]], [[8, 7, 5, 3, 4], [v = 1, And(
-1 < u,u < 0), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), z = (-x-y)^(1/2)]
, [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-9/16, -9/16], [
1142659/1048576, 285665/262144]]]], [[8, 7, 5, 3, 5], [v = 1, And(-1 < u,u < 0
), And(-1 < x,x < -u^2), And(u^2-x-2 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [-9/16, -9/16], [3, 3]]]],
[[8, 8, 9, 6, 1], [v = 1, u = 0, 1 < x, y = 0, z = z], [regular_chain, [[1, 1]
, [0, 0], [2, 2], [0, 0], [0, 0]]]], [[8, 14, 9, 5, 1], [v = 1, u = 3^(1/2), 1
< x, And(-x < y,y < 1-x), z = z], [regular_chain, [[1, 1], [908093/524288, 
1816187/1048576], [2, 2], [-3/2, -3/2], [0, 0]]]], [[9, 1, 3, 1, 1], [And(1 <
v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x
-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5], [-5, -5]]]], [[9, 1
, 3, 1, 2], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x
< -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5]
, [-3277777/1048576, -204861/65536]]]], [[9, 1, 3, 1, 3], [And(1 < v,v < 2^(1/
2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-10006449/2097152, -10006449/2097152], [-5, -5], [0, 0]]]
], [[9, 1, 3, 1, 4], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2
-1 < x,x < -1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3, -3], [-10006449/2097152, -10006449/2097152],
[-5, -5], [204861/65536, 3277777/1048576]]]], [[9, 1, 3, 1, 5], [And(1 < v,v <
2^(1/2)), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, (-
x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3]
, [-10006449/2097152, -10006449/2097152], [-5, -5], [5, 5]]]], [[9, 5, 5, 4, 1
], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2
-v^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/
4194304], [0, 0], [-2, -2]]]], [[9, 5, 5, 4, 2], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, z = -(-x)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [0, 0], [-3671483/
4194304, -7342965/8388608]]]], [[9, 5, 5, 4, 3], [And(1 < v,v < 2^(1/2)), And(
-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [0,
0], [-5/16777216, -5/16777216]]]], [[9, 5, 5, 4, 4], [And(1 < v,v < 2^(1/2)),
And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, z = (-x)^(1/
2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [0, 0], [458935/524288
, 917871/1048576]]]], [[9, 5, 5, 4, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [0, 0], [2, 2]]]], [[9
, 7, 2, 5, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^
2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z < -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [355399/262144, 355399
/262144], [-2, -2]]]], [[9, 7, 2, 5, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u
< -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), z = -(
-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
355399/262144, 355399/262144], [-242963/524288, -485925/1048576]]]], [[9, 7, 2
, 5, 3], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-\
1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u
^2+v^2-y+1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
355399/262144, 355399/262144], [0, 0]]]], [[9, 7, 2, 5, 4], [And(1 < v,v < 2^(
1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y <
-u^2+v^2+1), z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/2097152, -\
1646781/1048576], [355399/262144, 355399/262144], [485925/1048576, 242963/
524288]]]], [[9, 7, 2, 5, 5], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)
^(1/2)), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < -u^2+v^2+1), (-u^2+v^2-y+1)^(
1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/
4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [355399/
262144, 355399/262144], [2, 2]]]], [[9, 9, 11, 5, 1], [And(1 < v,v < 2^(1/2)),
And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, And(-x < y,y < -u^2+v^2-x-1)
, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2],
[-7429987/4194304, -7429987/4194304], [0, 0]]]], [[9, 11, 7, 1, 1], [And(1 < v
,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^
2-v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [-3, -3], [-3, -3]]]], [[9, 11, 7, 1, 2], [And(1 < v,v < 2^(1/2)), And((v^2-\
1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, z = -(-x-y)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 
987341/1048576], [-450371/2097152, -450371/2097152], [-3, -3], [-1880069/
1048576, -7520275/4194304]]]], [[9, 11, 7, 1, 3], [And(1 < v,v < 2^(1/2)), And
((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, And(-(-
x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/
1048576], [987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152]
, [-3, -3], [-3/8388608, -3/8388608]]]], [[9, 11, 7, 1, 4], [And(1 < v,v < 2^(
1/2)), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-\
1, z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-3, -3],
[470017/262144, 1880069/1048576]]]], [[9, 11, 7, 1, 5], [And(1 < v,v < 2^(1/2)
), And((v^2-1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < 0), y < u^2-v^2-x-1, (
-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [987341
/1048576, 987341/1048576], [-450371/2097152, -450371/2097152], [-3, -3], [3, 3
]]]], [[9, 16, 1, 9, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x < -3, 1
-x < y, z = z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-4, -4], [6, 6], [0, 0]]]], [[9, 17, 6, 5, 1], [And(
1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, And(0 < y,y < u^2-v^2-1), z = z]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [
6860721/2097152, 6860721/2097152], [0, 0]]]], [[10, 5, 11, 6, 1], [v = 2^(1/2)
, And(-3^(1/2) < u,u < -v), 1 < x, y = -x, z < 0], [regular_chain, [[741455/
524288, 1482911/1048576], [-6598195/4194304, -6598195/4194304], [2, 2], [-2, -\
2], [-1, -1]]]], [[10, 5, 11, 6, 2], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1
< x, y = -x, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-\
6598195/4194304, -6598195/4194304], [2, 2], [-2, -2], [0, 0]]]], [[10, 5, 11,
6, 3], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y = -x, 0 < z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [2, 2], [-2, -2], [1, 1]]]], [[10, 7, 8, 7, 1], [v = 2^(1/2), And(-v
< u,u < -1), x = 0, 0 < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [1, 1], [0, 0]]]], [[
10, 11, 11, 3, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, And(u^2-x-3 < y,y <
-x), z < -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [1
/2, 1/2], [2, 2], [-27/8, -27/8], [-3, -3]]]], [[10, 11, 11, 3, 2], [v = 2^(1/
2), And(0 < u,u < 1), 1 < x, And(u^2-x-3 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-27/8,
-27/8], [-1229565/1048576, -307391/262144]]]], [[10, 11, 11, 3, 3], [v = 2^(1/
2), And(0 < u,u < 1), 1 < x, And(u^2-x-3 < y,y < -x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [2, 2], [-27/8, -27/8], [0, 0]]]], [[10, 11, 11, 3, 4], [v = 2^(1/2), And(0
< u,u < 1), 1 < x, And(u^2-x-3 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain,
[[741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-27/8, -27/8], [307391
/262144, 1229565/1048576]]]], [[10, 11, 11, 3, 5], [v = 2^(1/2), And(0 < u,u <
1), 1 < x, And(u^2-x-3 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
741455/524288, 1482911/1048576], [1/2, 1/2], [2, 2], [-27/8, -27/8], [3, 3]]]]
, [[10, 13, 6, 6, 1], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y = u^2-1, z
< 0], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-479311/1048576, -239655/524288], [239655/524288, 479311/
1048576], [-1, -1]]]], [[10, 13, 6, 6, 2], [v = 2^(1/2), And(1 < u,u < v), x =
-u^2+1, y = u^2-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576],
[1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288], [239655
/524288, 479311/1048576], [0, 0]]]], [[10, 13, 6, 6, 3], [v = 2^(1/2), And(1 <
u,u < v), x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -\
239655/524288], [239655/524288, 479311/1048576], [1, 1]]]], [[11, 3, 2, 3, 1],
[2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(
0 < y,y < u^2-v^2+1), z < -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-\
3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [
653799/524288, 653799/524288], [-3, -3]]]], [[11, 3, 2, 3, 2], [2^(1/2) < v, 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u^2-
v^2+1), z = -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[3, 3], [-3396811/1048576,
-3396811/1048576], [-2615197/1048576, -653799/262144], [653799/524288, 653799/
524288], [-1170947/1048576, -585473/524288]]]], [[11, 3, 2, 3, 3], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, And(0 < y,y < u
^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [
regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-2615197/
1048576, -653799/262144], [653799/524288, 653799/524288], [0, 0]]]], [[11, 3,
2, 3, 4], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v
^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144],
[653799/524288, 653799/524288], [585473/524288, 1170947/1048576]]]], [[11, 3,
2, 3, 5], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v
^2-1, And(0 < y,y < u^2-v^2+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[3,
3], [-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144],
[653799/524288, 653799/524288], [3, 3]]]], [[11, 4, 5, 7, 1], [2^(1/2) < v, u
= -(v^2+1)^(1/2), And(-1 < x,x < 0), -x < y, z = z], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-1/2, -1/2], [2, 2], [0, 0]]]], [[11, 9, 4
, 2, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y =
u^2-v^2, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608
, -22960369/8388608], [-1, -1], [-395403/262144, -3163223/2097152], [-3, -3]]]
], [[11, 9, 4, 2, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2))
, x = -1, y = u^2-v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [-395403/262144, -3163223/
2097152], [-3321417/2097152, -415177/262144]]]], [[11, 9, 4, 2, 3], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = u^2-v^2, And(-(-u^2
+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[3, 3], [-\
22960369/8388608, -22960369/8388608], [-1, -1], [-395403/262144, -3163223/
2097152], [0, 0]]]], [[11, 9, 4, 2, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -1, y = u^2-v^2, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
395403/262144, -3163223/2097152], [415177/262144, 1660709/1048576]]]], [[11, 9
, 4, 2, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1,
y = u^2-v^2, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [-395403/262144, -3163223/2097152], [3,
3]]]], [[11, 10, 6, 5, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, And(0 < y,
y < 1), z = z], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576],
[0, 0], [1/2, 1/2], [0, 0]]]], [[11, 16, 3, 1, 1], [2^(1/2) < v, u = v, And(-1
< x,x < 0), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1
/2, -1/2], [-2, -2], [-3, -3]]]], [[11, 16, 3, 1, 2], [2^(1/2) < v, u = v, And
(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3],
[-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]]], [[11, 16, 3, 1,
3], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y < -1-x, And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-2, -2], [0,
0]]]], [[11, 16, 3, 1, 4], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y < -1-x, z
= (-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-2, -2], [
207243/131072, 1657945/1048576]]]], [[11, 16, 3, 1, 5], [2^(1/2) < v, u = v, 
And(-1 < x,x < 0), y < -1-x, (-x-y)^(1/2) < z], [regular_chain, [[3, 3], [3, 3
], [-1/2, -1/2], [-2, -2], [3, 3]]]], [[11, 17, 10, 7, 1], [2^(1/2) < v, And(v
< u,u < (v^2+1)^(1/2)), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3,
3], [403851/131072, 403851/131072], [1, 1], [-1/2, -1/2], [0, 0]]]], [[1, 2, 3
, 6, 1], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, z < 0]
, [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [2
, 2], [-1, -1]]]], [[1, 2, 3, 6, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3
< x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-2, -2], [2, 2], [0, 0]]]], [[1, 2, 3, 6, 3], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = -x, 0 < z], [regular_chain, [[-3
, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [2, 2], [1, 1]]]], [[1,
3, 7, 7, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0
< x,x < u^2-v^2-1), And(0 < y,y < u^2-v^2-x-1), z = z], [regular_chain, [[-3,
-3], [-3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [
129511/1048576, 129511/1048576], [0, 0]]]], [[1, 8, 3, 7, 1], [v < -2^(1/2), u
= -(v^2-1)^(1/2), And(-2 < x,x < -1), -x < y, z = z], [regular_chain, [[-3, -3
], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2], [3, 3], [0, 0]]]], [[1
, 9, 9, 4, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(
-u^2+v^2-1 < x,x < 1), y = -x, z < 0], [regular_chain, [[-3, -3], [-22960369/
8388608, -22960369/8388608], [395403/524288, 395403/524288], [-395403/524288,
-395403/524288], [-1, -1]]]], [[1, 9, 9, 4, 2], [v < -2^(1/2), And(-(v^2-1)^(1
/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -x, z = 0], [
regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-395403/524288, -395403/524288], [0, 0]]]], [[1, 9, 9
, 4, 3], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), And(-u^2+v
^2-1 < x,x < 1), y = -x, 0 < z], [regular_chain, [[-3, -3], [-22960369/8388608
, -22960369/8388608], [395403/524288, 395403/524288], [-395403/524288, -395403
/524288], [1, 1]]]], [[1, 15, 5, 7, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u
< -v), And(-1 < x,x < -u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(
1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287
/524288, -391287/524288], [1048577/2097152, 1048577/2097152], [-2, -2]]]], [[1
, 15, 5, 7, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -
u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288
], [1048577/2097152, 1048577/2097152], [-16263/32768, -520415/1048576]]]], [[1
, 15, 5, 7, 3], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -
u^2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/
524288, -391287/524288], [1048577/2097152, 1048577/2097152], [0, 0]]]], [[1, 
15, 5, 7, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^
2+v^2-1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-\
3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288],
[1048577/2097152, 1048577/2097152], [520415/1048576, 16263/32768]]]], [[1, 15,
5, 7, 5], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^
2-1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -\
3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
1048577/2097152, 1048577/2097152], [2, 2]]]], [[1, 17, 2, 4, 1], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z < -(-u^2+v
^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
195745/131072, -1565959/1048576], [517383/524288, 1034767/1048576], [-2, -2]]]
], [[1, 17, 2, 4, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v
^2-1, y = 2*u^2-2*v^2, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
403851/131072, 403851/131072], [-195745/131072, -1565959/1048576], [517383/
524288, 1034767/1048576], [-373161/524288, -1492643/2097152]]]], [[1, 17, 2, 4
, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-\
2*v^2, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [
[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576],
[517383/524288, 1034767/1048576], [-1/4194304, -1/4194304]]]], [[1, 17, 2, 4,
4], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*
v^2, z = (-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-195745/131072, -1565959/1048576], [517383/524288, 1034767/
1048576], [746321/1048576, 373161/524288]]]], [[1, 17, 2, 4, 5], [v < -2^(1/2)
, And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-\
195745/131072, -1565959/1048576], [517383/524288, 1034767/1048576], [2, 2]]]],
[[1, 21, 5, 4, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0,
z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [0, 0], [-2
, -2]]]], [[1, 21, 5, 4, 2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x <
0), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2],
[0, 0], [-1482911/2097152, -741455/1048576]]]], [[1, 21, 5, 4, 3], [v < -2^(1/
2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^
(1/2))], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [0, 0], [0, 0]]]], [
[1, 21, 5, 4, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = 0,
z = (-x)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [0, 0], [
741455/1048576, 46341/65536]]]], [[1, 21, 5, 4, 5], [v < -2^(1/2), (v^2+2)^(1/
2) < u, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3],
[5, 5], [-1/2, -1/2], [0, 0], [2, 2]]]], [[2, 1, 7, 5, 1], [v = -2^(1/2), u <
-2, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3, -3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[2,
10, 5, 5, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), z <
-(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [
-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[2, 10, 5, 5, 2], [v = -2^(1/2), u = 0,
And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/
2]]]], [[2, 10, 5, 5, 3], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y
< -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[2, 10
, 5, 5, 4], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(0 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/
2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[2, 10, 5, 5, 5], [v = -2^(1/2), u = 0,
And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]],
[[2, 11, 9, 8, 1], [v = -2^(1/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), y =
0, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [7
/8, 7/8], [0, 0], [0, 0]]]], [[2, 16, 6, 3, 1], [v = -2^(1/2), u = 3^(1/2), x
= 0, And(-2 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [908093/524288, 1816187/1048576], [0, 0], [-1, -1], [-2, -2]]
]], [[2, 16, 6, 3, 2], [v = -2^(1/2), u = 3^(1/2), x = 0, And(-2 < y,y < 0), z
= -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[2, 16, 6, 3, 3], [v
= -2^(1/2), u = 3^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y
)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288
, 1816187/1048576], [0, 0], [-1, -1], [0, 0]]]], [[2, 16, 6, 3, 4], [v = -2^(1
/2), u = 3^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [0, 0],
[-1, -1], [1, 1]]]], [[2, 16, 6, 3, 5], [v = -2^(1/2), u = 3^(1/2), x = 0, And
(-2 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [908093/524288, 1816187/1048576], [0, 0], [-1, -1], [2, 2]]]], [[2, 
17, 11, 3, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(-u^2-x+1 < y,
y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [2, 2], [-6796923/2097152, -\
6796923/2097152], [-3, -3]]]], [[2, 17, 11, 3, 2], [v = -2^(1/2), And(3^(1/2)
< u,u < 2), 1 < x, And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [-4563/4096, -1168127/
1048576]]]], [[2, 17, 11, 3, 3], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x,
And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [0, 0]]]], [[2, 17, 11
, 3, 4], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, And(-u^2-x+1 < y,y < -x
), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
3913339/2097152, 3913339/2097152], [2, 2], [-6796923/2097152, -6796923/2097152
], [1168127/1048576, 4563/4096]]]], [[2, 17, 11, 3, 5], [v = -2^(1/2), And(3^(
1/2) < u,u < 2), 1 < x, And(-u^2-x+1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [3913339/2097152, 3913339/
2097152], [2, 2], [-6796923/2097152, -6796923/2097152], [3, 3]]]], [[3, 4, 4,
5, 1], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1)
, z < -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
410915/262144, -3287319/2097152], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[3, 4, 4
, 5, 2], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y <
1), z = -(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-410915/262144, -3287319/2097152], [-1, -1], [1/2, 1/2], [-1482911/2097152, -\
741455/1048576]]]], [[3, 4, 4, 5, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^
(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [1/2, 1/2], [0, 0]]]], [[3, 4, 4, 5, 4], [And(-2^(
1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2
)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[3,
4, 4, 5, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, And(0 < y,
y < 1), (1-y)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-410915/262144, -3287319/2097152], [-1, -1], [1/2, 1/2], [2, 2]]]], [[3, 5
, 9, 9, 1], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), And(0 <
x,x < 1), 0 < y, z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [1/2, 1/2], [1, 1], [0, 0]]]], [[3, 10
, 6, 4, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y = 0, z < 0]
, [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [0, 0], [0, 0], [-1, -1]]]], [[3, 10, 6, 4, 2], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), x = 0, y = 0, z = 0], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [354469/524288, 708939/1048576], [0, 0], [
0, 0], [0, 0]]]], [[3, 10, 6, 4, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1
/2), x = 0, y = 0, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [354469/524288, 708939/1048576], [0, 0], [0, 0], [1, 1]]]], [[3, 11,
11, 4, 1], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y
= -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881/262144, -\
2547523/1048576], [-2, -2]]]], [[3, 11, 11, 4, 2], [And(-2^(1/2) < v,v < -1),
And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 
987341/1048576], [2, 2], [-636881/262144, -2547523/1048576], [-1374407/2097152
, -687203/1048576]]]], [[3, 11, 11, 4, 3], [And(-2^(1/2) < v,v < -1), And((v^2
-1)^(1/2) < u,u < -v), 1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z <
(u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
987341/1048576, 987341/1048576], [2, 2], [-636881/262144, -2547523/1048576], [
0, 0]]]], [[3, 11, 11, 4, 4], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u
,u < -v), 1 < x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2],
[-636881/262144, -2547523/1048576], [687203/1048576, 171801/262144]]]], [[3, 
11, 11, 4, 5], [And(-2^(1/2) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x
, y = -u^2+v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576
, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-636881/262144
, -2547523/1048576], [2, 2]]]], [[3, 15, 4, 3, 1], [And(-2^(1/2) < v,v < -1),
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z <
-(1-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/
524288, 898327/524288], [-1, -1], [-1550541/2097152, -1550541/2097152], [-3, -\
3]]]], [[3, 15, 4, 3, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u <
(v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-1550541/2097152, -1550541/2097152], [-1382911/1048576, -\
691455/524288]]]], [[3, 15, 4, 3, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2)
< z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[898327/524288, 898327/524288], [-1, -1], [-1550541/2097152, -1550541/2097152]
, [0, 0]]]], [[3, 15, 4, 3, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-1550541/2097152, -1550541/2097152], [691455/524288, 
1382911/1048576]]]], [[3, 15, 4, 3, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 
898327/524288], [-1, -1], [-1550541/2097152, -1550541/2097152], [3, 3]]]], [[3
, 16, 6, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y = -3, z
< -3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/
65536, 1949649/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[3, 16, 6, 2, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[3, 16,
6, 2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y = -3, And(-3^
(1/2) < z,z < 3^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [121853/65536, 1949649/1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]
]], [[3, 16, 6, 2, 4], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y
= -3, z = 3^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/
1048576]]]], [[3, 16, 6, 2, 5], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2),
x = 0, y = -3, 3^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [121853/65536, 1949649/1048576], [0, 0], [-3, -3], [3, 3]]]], [[4, 3
, 7, 6, 1], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y =
0, z = z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [
248903/1048576, 248903/1048576], [0, 0], [0, 0]]]], [[4, 5, 2, 5, 1], [v = -1,
And(-2^(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y,y < u^2), z < -(u^2-y)^(1/
2)], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1527887/1048576, -763943/524288], [621627/524288, 621627/524288], [-2, -2]]]],
[[4, 5, 2, 5, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y
,y < u^2), z = -(u^2-y)^(1/2)], [regular_chain, [[-1, -1], [-1265743/1048576,
-1265743/1048576], [-1527887/1048576, -763943/524288], [621627/524288, 621627/
524288], [-1092629/2097152, -273157/524288]]]], [[4, 5, 2, 5, 3], [v = -1, And
(-2^(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y,y < u^2), And(-(u^2-y)^(1/2)
< z,z < (u^2-y)^(1/2))], [regular_chain, [[-1, -1], [-1265743/1048576, -\
1265743/1048576], [-1527887/1048576, -763943/524288], [621627/524288, 621627/
524288], [0, 0]]]], [[4, 5, 2, 5, 4], [v = -1, And(-2^(1/2) < u,u < -1), x = -
u^2, And(2*u^2-2 < y,y < u^2), z = (u^2-y)^(1/2)], [regular_chain, [[-1, -1],
[-1265743/1048576, -1265743/1048576], [-1527887/1048576, -763943/524288], [
621627/524288, 621627/524288], [273157/524288, 546315/1048576]]]], [[4, 5, 2,
5, 5], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, And(2*u^2-2 < y,y < u^2),
(u^2-y)^(1/2) < z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/
1048576], [-1527887/1048576, -763943/524288], [621627/524288, 621627/524288],
[2, 2]]]], [[4, 11, 5, 9, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x <
u^2-2), -x < y, z = z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [2, 2], [0, 0]]]], [[4, 13, 1,
1, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y < 0, z < -(-x-y)^(1/
2)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4],
[-1, -1], [-4, -4]]]], [[4, 13, 1, 1, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)
), x < -u^2, y < 0, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/
2097152, 3299097/2097152], [-4, -4], [-1, -1], [-146543/65536, -2344687/
1048576]]]], [[4, 13, 1, 1, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^
2, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-4, -4], [-1, -1], [0, 0]]]], [[4, 13, 1,
1, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y < 0, z = (-x-y)^(1/2
)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [
-1, -1], [2344687/1048576, 146543/65536]]]], [[4, 13, 1, 1, 5], [v = -1, And(2
^(1/2) < u,u < 3^(1/2)), x < -u^2, y < 0, (-x-y)^(1/2) < z], [regular_chain, [
[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [-1, -1], [4, 4]]]], [
[5, 1, 11, 3, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-
u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-\
3, -3], [9, 9], [-111/8, -111/8], [-4, -4]]]], [[5, 1, 11, 3, 2], [And(-1 < v,
v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -
(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-111/8, -111/
8], [-1157597/524288, -2315193/1048576]]]], [[5, 1, 11, 3, 3], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-
y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-3, -3], [9,
9], [-111/8, -111/8], [0, 0]]]], [[5, 1, 11, 3, 4], [And(-1 < v,v < 0), u < -(
v^2+2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-111/8, -111/8], [2315193/
1048576, 1157597/524288]]]], [[5, 1, 11, 3, 5], [And(-1 < v,v < 0), u < -(v^2+
2)^(1/2), u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-111/8, -111/8], [4, 4]]]], [
[5, 3, 4, 4, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)
), x = -1, y = 0, z < -1], [regular_chain, [[-1/2, -1/2], [-343151/262144, -\
343151/262144], [-1, -1], [0, 0], [-2, -2]]]], [[5, 3, 4, 4, 2], [And(-1 < v,v
< 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, z = -1], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [0,
0], [-1, -1]]]], [[5, 3, 4, 4, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,
u < -(v^2+1)^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[-1/2
, -1/2], [-343151/262144, -343151/262144], [-1, -1], [0, 0], [0, 0]]]], [[5, 3
, 4, 4, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x
= -1, y = 0, z = 1], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1, -1], [0, 0], [1, 1]]]], [[5, 3, 4, 4, 5], [And(-1 < v,v < 0), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 0, 1 < z], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [0,
0], [2, 2]]]], [[5, 12, 5, 7, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-\
1 < x,x < 0), And(-x < y,y < 1-x), z = z], [regular_chain, [[-1/2, -1/2], [3/2
, 3/2], [-1/2, -1/2], [1, 1], [0, 0]]]], [[5, 13, 9, 8, 1], [And(-1 < v,v < 0)
, (v^2+2)^(1/2) < u, And(1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-1/2, -1/2], [3, 3], [35/8, 35/8], [27/8, 27/8], [0, 0]]]], [
[6, 5, 2, 1, 1], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y < 0, z < -(u^2-y+1)^
(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [-1, -1], [-3, -3
]]]], [[6, 5, 2, 1, 2], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y < 0, z = -(u^
2-y+1)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-5/4, -5/4], [-1, -1],
[-3/2, -3/2]]]], [[6, 5, 2, 1, 3], [v = 0, And(-1 < u,u < 0), x = -u^2-1, y <
0, And(-(u^2-y+1)^(1/2) < z,z < (u^2-y+1)^(1/2))], [regular_chain, [[0, 0], [-\
1/2, -1/2], [-5/4, -5/4], [-1, -1], [0, 0]]]], [[6, 5, 2, 1, 4], [v = 0, And(-\
1 < u,u < 0), x = -u^2-1, y < 0, z = (u^2-y+1)^(1/2)], [regular_chain, [[0, 0]
, [-1/2, -1/2], [-5/4, -5/4], [-1, -1], [3/2, 3/2]]]], [[6, 5, 2, 1, 5], [v =
0, And(-1 < u,u < 0), x = -u^2-1, y < 0, (u^2-y+1)^(1/2) < z], [regular_chain,
[[0, 0], [-1/2, -1/2], [-5/4, -5/4], [-1, -1], [3, 3]]]], [[6, 6, 5, 3, 1], [v
= 0, u = 0, And(0 < x,x < 1), And(-1-x < y,y < -x), z < -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-1, -1], [-2, -2]]]], [[6, 6, 5,
3, 2], [v = 0, u = 0, And(0 < x,x < 1), And(-1-x < y,y < -x), z = -(-x-y)^(1/2
)], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-1, -1], [-1482911/2097152,
-741455/1048576]]]], [[6, 6, 5, 3, 3], [v = 0, u = 0, And(0 < x,x < 1), And(-1
-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[0,
0], [0, 0], [1/2, 1/2], [-1, -1], [0, 0]]]], [[6, 6, 5, 3, 4], [v = 0, u = 0,
And(0 < x,x < 1), And(-1-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[0
, 0], [0, 0], [1/2, 1/2], [-1, -1], [741455/1048576, 46341/65536]]]], [[6, 6,
5, 3, 5], [v = 0, u = 0, And(0 < x,x < 1), And(-1-x < y,y < -x), (-x-y)^(1/2)
< z], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-1, -1], [2, 2]]]], [[7, 1
, 4, 1, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, z < -
(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-10, -10], [-5
, -5]]]], [[7, 1, 4, 1, 2], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y <
-u^2+v^2, z = -(1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1],
[-10, -10], [-1738867/524288, -3477733/1048576]]]], [[7, 1, 4, 1, 3], [And(0 <
v,v < 1), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, And(-(1-y)^(1/2) < z,z < (
1-y)^(1/2))], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-10, -10], [0,
0]]]], [[7, 1, 4, 1, 4], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), x = -1, y < -u
^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-\
10, -10], [3477733/1048576, 1738867/524288]]]], [[7, 1, 4, 1, 5], [And(0 < v,v
< 1), u < -(v^2+2)^(1/2), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3, -3], [-1, -1], [-10, -10], [5, 5]]]], [[7, 2,
5, 9, 1], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), 1-x < y, z
= z], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [-1/2, -1/2], [3, 3], [0, 0]]
]], [[7, 7, 3, 9, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,
x < -1), -x < y, z = z], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3
, 3], [0, 0]]]], [[7, 8, 7, 4, 1], [And(0 < v,v < 1), u = v, 1 < x, y = -x, z
< 0], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-2, -2], [-1, -1]]]],
[[7, 8, 7, 4, 2], [And(0 < v,v < 1), u = v, 1 < x, y = -x, z = 0], [
regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-2, -2], [0, 0]]]], [[7, 8, 7
, 4, 3], [And(0 < v,v < 1), u = v, 1 < x, y = -x, 0 < z], [regular_chain, [[1/
2, 1/2], [1/2, 1/2], [2, 2], [-2, -2], [1, 1]]]], [[7, 11, 9, 7, 1], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [-281267/2097152,
-281267/2097152], [0, 0]]]], [[7, 13, 3, 3, 1], [And(0 < v,v < 1), (v^2+2)^(1/
2) < u, And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(
1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/16, -35/16],
[-4, -4]]]], [[7, 13, 3, 3, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2
+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/16, -35/16], [-11/4,
-11/4]]]], [[7, 13, 3, 3, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v
^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/16, -35/
16], [0, 0]]]], [[7, 13, 3, 3, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-
u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/16, -35/16], [11/4, 
11/4]]]], [[7, 13, 3, 3, 5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^
2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-35/16, -35/16], [4, 4]]]
], [[8, 4, 1, 6, 1], [v = 1, u = -2^(1/2), x < -2, y = -x, z < 0], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3],
[-1, -1]]]], [[8, 4, 1, 6, 2], [v = 1, u = -2^(1/2), x < -2, y = -x, z = 0], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3],
[0, 0]]]], [[8, 4, 1, 6, 3], [v = 1, u = -2^(1/2), x < -2, y = -x, 0 < z], [
regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-3, -3], [3, 3],
[1, 1]]]], [[8, 5, 8, 2, 1], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y = -u^2
, z < u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0
], [-1527887/1048576, -763943/524288], [-3, -3]]]], [[8, 5, 8, 2, 2], [v = 1,
And(-2^(1/2) < u,u < -1), x = 0, y = -u^2, z = u], [regular_chain, [[1, 1], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-1527887/1048576, -763943/524288]
, [-1265743/1048576, -1265743/1048576]]]], [[8, 5, 8, 2, 3], [v = 1, And(-2^(1
/2) < u,u < -1), x = 0, y = -u^2, And(u < z,z < -u)], [regular_chain, [[1, 1],
[-1265743/1048576, -1265743/1048576], [0, 0], [-1527887/1048576, -763943/
524288], [0, 0]]]], [[8, 5, 8, 2, 4], [v = 1, And(-2^(1/2) < u,u < -1), x = 0,
y = -u^2, z = -u], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [0, 0], [-1527887/1048576, -763943/524288], [1265743/1048576, 
1265743/1048576]]]], [[8, 5, 8, 2, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 0
, y = -u^2, -u < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/
1048576], [0, 0], [-1527887/1048576, -763943/524288], [3, 3]]]], [[8, 11, 11,
4, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = u^2-x-2, z < -(-u^2+2)^(1/2)
], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
5332835/2097152, -2666417/1048576], [-2, -2]]]], [[8, 11, 11, 4, 2], [v = 1, 
And(1 < u,u < 2^(1/2)), 1 < x, y = u^2-x-2, z = -(-u^2+2)^(1/2)], [
regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-5332835/
2097152, -2666417/1048576], [-772605/1048576, -1545209/2097152]]]], [[8, 11, 
11, 4, 3], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = u^2-x-2, And(-(-u^2+2)^(
1/2) < z,z < (-u^2+2)^(1/2))], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [2, 2], [-5332835/2097152, -2666417/1048576], [-1/4194304, -\
1/4194304]]]], [[8, 11, 11, 4, 4], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y =
u^2-x-2, z = (-u^2+2)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 
1265743/1048576], [2, 2], [-5332835/2097152, -2666417/1048576], [193151/262144
, 772605/1048576]]]], [[8, 11, 11, 4, 5], [v = 1, And(1 < u,u < 2^(1/2)), 1 <
x, y = u^2-x-2, (-u^2+2)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576
, 1265743/1048576], [2, 2], [-5332835/2097152, -2666417/1048576], [2, 2]]]], [
[8, 13, 6, 7, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, u^2-2 < y, z =
z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [2, 2
], [0, 0]]]], [[9, 2, 5, 3, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2
, -1/2], [-5/4, -5/4], [-3, -3]]]], [[9, 2, 5, 3, 2], [And(1 < v,v < 2^(1/2)),
u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)]
, [regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [-10837/8192, -1387135/1048576]]
]], [[9, 2, 5, 3, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,
x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [0, 0]]]], [[9, 2, 5, 3, 4], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y
< 0), z = (-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [1387135/
1048576, 10837/8192]]]], [[9, 2, 5, 3, 5], [And(1 < v,v < 2^(1/2)), u = -(v^2+
2)^(1/2), And(-1 < x,x < 0), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[9, 3, 10, 1, 1], [
And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y <
-u^2+v^2-2, z < -(-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-5, -5], [-3, -3]]]
], [[9, 3, 10, 1, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^
2+1)^(1/2)), x = 1, y < -u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1,
1], [-5, -5], [-2, -2]]]], [[9, 3, 10, 1, 3], [And(1 < v,v < 2^(1/2)), And(-(v
^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
-14373233/8388608, -14373233/8388608], [1, 1], [-5, -5], [0, 0]]]], [[9, 3, 10
, 1, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [-14373233/8388608, -14373233/8388608], [1, 1], [-5, -5], [2
, 2]]]], [[9, 3, 10, 1, 5], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) < z], [regular_chain, [
[1265743/1048576, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [1
, 1], [-5, -5], [3, 3]]]], [[9, 13, 4, 2, 1], [And(1 < v,v < 2^(1/2)), And(v <
u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [-122559/262144, -490235/1048576], [-3, -3]]]], [[9, 13, 4
, 2, 2], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = -u
^2+v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/
1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-122559/262144, -\
490235/1048576], [-1270261/1048576, -317565/262144]]]], [[9, 13, 4, 2, 3], [
And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, 
And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-\
122559/262144, -490235/1048576], [0, 0]]]], [[9, 13, 4, 2, 4], [And(1 < v,v <
2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576,
1454701/1048576], [-1, -1], [-122559/262144, -490235/1048576], [317565/262144,
1270261/1048576]]]], [[9, 13, 4, 2, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain,
[[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1,
-1], [-122559/262144, -490235/1048576], [3, 3]]]], [[9, 14, 8, 3, 1], [And(1 <
v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z < -(-y-1)^(1/2
)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 
410915/262144], [1, 1], [-2, -2], [-2, -2]]]], [[9, 14, 8, 3, 2], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = -(-y-1)^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [-2, -2], [-1, -1]]]], [[9, 14, 8, 3, 3], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [1, 1], [-2, -2], [0, 0]]]], [[9, 14, 8, 3, 4], [And(
1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), z = (-y-1)^(
1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576,
410915/262144], [1, 1], [-2, -2], [1, 1]]]], [[9, 14, 8, 3, 5], [And(1 < v,v <
2^(1/2)), u = (v^2+1)^(1/2), x = 1, And(-3 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [-2, -2], [2, 2]]]], [[10, 1, 9, 1, 1], [v = 2^(1/2), u < -2,
And(1 < x,x < u^2-3), y < -u^2-x+1, z < -(-x-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-13, -13], [-5, -5]]]]
, [[10, 1, 9, 1, 2], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y < -u^2-x+1,
z = -(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3
], [7/2, 7/2], [-13, -13], [-3231929/1048576, -403991/131072]]]], [[10, 1, 9,
1, 3], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y < -u^2-x+1, And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576]
, [-3, -3], [7/2, 7/2], [-13, -13], [0, 0]]]], [[10, 1, 9, 1, 4], [v = 2^(1/2)
, u < -2, And(1 < x,x < u^2-3), y < -u^2-x+1, z = (-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-13,
-13], [403991/131072, 3231929/1048576]]]], [[10, 1, 9, 1, 5], [v = 2^(1/2), u
< -2, And(1 < x,x < u^2-3), y < -u^2-x+1, (-x-y)^(1/2) < z], [regular_chain, [
[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-13, -13], [5, 5]]]],
[[10, 3, 2, 6, 1], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = 2*u
^2-4, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [1554043/
524288, 3108087/1048576], [0, 0]]]], [[10, 9, 4, 3, 1], [v = 2^(1/2), And(-1 <
u,u < 0), x = -1, And(u^2-2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [-3, -3
]]]], [[10, 9, 4, 3, 2], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, And(u^2-2 <
y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576]
, [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [-717911/524288, -1435821/1048576]]]],
[[10, 9, 4, 3, 3], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, And(u^2-2 < y,y <
0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [-1/2, -1/2], [-1, -1], [-7/8, -7/8], [0, 0]]]], [[10, 9, 4,
3, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, And(u^2-2 < y,y < 0), z = (1-y
)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1
, -1], [-7/8, -7/8], [1435821/1048576, 717911/524288]]]], [[10, 9, 4, 3, 5], [
v = 2^(1/2), And(-1 < u,u < 0), x = -1, And(u^2-2 < y,y < 0), (1-y)^(1/2) < z]
, [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [
-7/8, -7/8], [3, 3]]]], [[10, 10, 6, 6, 1], [v = 2^(1/2), u = 0, x = 0, y = 1,
z = z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [1,
1], [0, 0]]]], [[10, 15, 3, 9, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), And(-
u^2+1 < x,x < -1), -x < y, z = z], [regular_chain, [[741455/524288, 1482911/
1048576], [3299097/2097152, 3299097/2097152], [-2594957/2097152, -2594957/
2097152], [3, 3], [0, 0]]]], [[10, 16, 8, 1, 1], [v = 2^(1/2), u = 3^(1/2), x
= 1, y < -3, z < -(-y-1)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [908093/524288, 1816187/1048576], [1, 1], [-4, -4], [-3, -3]]]], [[
10, 16, 8, 1, 2], [v = 2^(1/2), u = 3^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1, 1], [-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[10, 16,
8, 1, 3], [v = 2^(1/2), u = 3^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z <
(-y-1)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[10,
16, 8, 1, 4], [v = 2^(1/2), u = 3^(1/2), x = 1, y < -3, z = (-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]], [[10, 16, 8,
1, 5], [v = 2^(1/2), u = 3^(1/2), x = 1, y < -3, (-y-1)^(1/2) < z], [
regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 1816187/
1048576], [1, 1], [-4, -4], [3, 3]]]], [[10, 19, 6, 2, 1], [v = 2^(1/2), 2 < u
, x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [0, 0], [-8, -8], [-4, -4]]]], [[10, 19, 6, 2, 2], [
v = 2^(1/2), 2 < u, x = 0, y = -u^2+1, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [0, 0], [-8, -8], [-2965821/1048576,
-11863283/4194304]]]], [[10, 19, 6, 2, 3], [v = 2^(1/2), 2 < u, x = 0, y = -u^
2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/
524288, 1482911/1048576], [3, 3], [0, 0], [-8, -8], [-3/8388608, -3/8388608]]]
], [[10, 19, 6, 2, 4], [v = 2^(1/2), 2 < u, x = 0, y = -u^2+1, z = (u^2-1)^(1/
2)], [regular_chain, [[741455/524288, 1482911/1048576], [3, 3], [0, 0], [-8, -\
8], [741455/262144, 2965821/1048576]]]], [[10, 19, 6, 2, 5], [v = 2^(1/2), 2 <
u, x = 0, y = -u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 
1482911/1048576], [3, 3], [0, 0], [-8, -8], [4, 4]]]], [[11, 1, 8, 7, 1], [2^(
1/2) < v, u < -(v^2+2)^(1/2), x = 1, And(0 < y,y < u^2-v^2-2), z = z], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [7, 7], [0, 0]]]], [[11, 5, 11, 5, 1
], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y
< -x), z < -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -403851/
131072], [2, 2], [-9450993/4194304, -9450993/4194304], [-2, -2]]]], [[11, 5, 
11, 5, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-\
1 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [2, 2], [-9450993/4194304, -9450993/4194304], [-527729/1048576
, -1055457/2097152]]]], [[11, 5, 11, 5, 3], [2^(1/2) < v, And(-(v^2+1)^(1/2) <
u,u < -v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y
)^(1/2))], [regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2],
[-9450993/4194304, -9450993/4194304], [-1/4194304, -1/4194304]]]], [[11, 5, 11
, 5, 4], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, And(u^2-v^2-x-1
< y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-403851/131072, -\
403851/131072], [2, 2], [-9450993/4194304, -9450993/4194304], [32983/65536, 
527729/1048576]]]], [[11, 5, 11, 5, 5], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u
< -v), 1 < x, And(u^2-v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain,
[[3, 3], [-403851/131072, -403851/131072], [2, 2], [-9450993/4194304, -9450993
/4194304], [2, 2]]]], [[11, 7, 8, 6, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)
^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [-6111549/2097152, -\
6111549/2097152], [0, 0], [0, 0], [-1, -1]]]], [[11, 7, 8, 6, 2], [2^(1/2) < v
, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, z = 0], [regular_chain, [[3, 3
], [-6111549/2097152, -6111549/2097152], [0, 0], [0, 0], [0, 0]]]], [[11, 7, 8
, 6, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = 0, 0 < z], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [0, 0],
[1, 1]]]], [[11, 13, 4, 5, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)
^(1/2)), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [[3, 3],
[1435023/524288, 1435023/524288], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[11, 13,
4, 5, 2], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1, And(
0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [1435023/524288, 
1435023/524288], [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]],
[[11, 13, 4, 5, 3], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x
= -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain
, [[3, 3], [1435023/524288, 1435023/524288], [-1, -1], [1/2, 1/2], [0, 0]]]],
[[11, 13, 4, 5, 4], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x
= -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]
], [[11, 13, 4, 5, 5], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)),
x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1, -1], [1/2, 1/2], [2, 2]]]], [[11, 14, 8, 6, 1],
[2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, y = 0, z = z], [regular_chain, [[3, 3]
, [741455/262144, 2965821/1048576], [1, 1], [0, 0], [0, 0]]]], [[11, 19, 6, 2,
1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^
2-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [0, 0], [-2615197/1048576, -653799/262144], [-3, -3]]]], [[
11, 19, 6, 2, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x =
0, y = -u^2+v^2-1, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [0, 0], [-2615197/1048576, -653799/262144], [-\
1655969/1048576, -3311937/2097152]]]], [[11, 19, 6, 2, 3], [2^(1/2) < v, And((
v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(
1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [0, 0], [-2615197/1048576, -653799/262144], [-1/4194304, -1/
4194304]]]], [[11, 19, 6, 2, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = 0, y = -u^2+v^2-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[3,
3], [3396811/1048576, 3396811/1048576], [0, 0], [-2615197/1048576, -653799/
262144], [51749/32768, 1655969/1048576]]]], [[11, 19, 6, 2, 5], [2^(1/2) < v,
And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = -u^2+v^2-1, (u^2-v^2+1)^(
1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0]
, [-2615197/1048576, -653799/262144], [3, 3]]]], [[11, 20, 8, 7, 1], [2^(1/2)
< v, u = (v^2+2)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [1, 1], [1, 1], [0, 0]]]], [[1, 5, 3, 4, 1],
[v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y =
0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/
131072], [-2614535/2097152, -2614535/2097152], [0, 0], [-3, -3]]]], [[1, 5, 3,
4, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1
), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -\
403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [-1170799/
1048576, -585399/524288]]]], [[1, 5, 3, 4, 3], [v < -2^(1/2), And(-(v^2+1)^(1/
2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = 0, And(-(-x)^(1/2) < z,z < (-x)
^(1/2))], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
2614535/2097152, -2614535/2097152], [0, 0], [0, 0]]]], [[1, 5, 3, 4, 4], [v <
-2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1), y = 0, z
= (-x)^(1/2)], [regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-\
2614535/2097152, -2614535/2097152], [0, 0], [585399/524288, 1170799/1048576]]]
], [[1, 5, 3, 4, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^
2-1 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-3, -3], [-403851/
131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [0, 0], [3, 3]]
]], [[1, 6, 7, 3, 1], [v < -2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-5/2, -5/2], [-2,
-2]]]], [[1, 6, 7, 3, 2], [v < -2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x), z
= -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-5/2, -5/2], [
-1482911/2097152, -741455/1048576]]]], [[1, 6, 7, 3, 3], [v < -2^(1/2), u = v,
1 < x, And(-1-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [-5/2, -5/2], [0, 0]]]], [[1, 6, 7
, 3, 4], [v < -2^(1/2), u = v, 1 < x, And(-1-x < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[-3, -3], [-3, -3], [2, 2], [-5/2, -5/2], [741455/1048576, 
46341/65536]]]], [[1, 6, 7, 3, 5], [v < -2^(1/2), u = v, 1 < x, And(-1-x < y,y
< -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-5/2,
-5/2], [2, 2]]]], [[1, 11, 3, 3, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u <
(v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z < -(-
x-y)^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-9/4, -9/4],
[-4, -4]]]], [[1, 11, 3, 3, 2], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2
-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), z = -(-x-y)
^(1/2)], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-9/4, -9/4], [-\
11676449/4194304, -364889/131072]]]], [[1, 11, 3, 3, 3], [v < -2^(1/2), And(-(
v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), And(u^2-v^2-x-\
1 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3,
-3], [0, 0], [-11/2, -11/2], [-9/4, -9/4], [0, 0]]]], [[1, 11, 3, 3, 4], [v <
-2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1)
, And(u^2-v^2-x-1 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [0
, 0], [-11/2, -11/2], [-9/4, -9/4], [364889/131072, 2919113/1048576]]]], [[1,
11, 3, 3, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^
2-v^2-1 < x,x < -1), And(u^2-v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-9/4, -9/4], [4, 4]]]], [[1
, 12, 5, 6, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = -x, z
< 0], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2],
[1/2, 1/2], [-1, -1]]]], [[1, 12, 5, 6, 2], [v < -2^(1/2), u = (v^2-2)^(1/2),
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-3, -3], [2774271/1048576
, 10837/4096], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[1, 12, 5, 6, 3], [v < -2
^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain,
[[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]],
[[1, 18, 6, 2, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y = -2, z < -2^(1/
2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [-2,
-2], [-3, -3]]]], [[1, 18, 6, 2, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0,
y = -2, z = -2^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[1, 18, 6,
2, 3], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y = -2, And(-2^(1/2) < z,z < 2
^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0],
[-2, -2], [0, 0]]]], [[1, 18, 6, 2, 4], [v < -2^(1/2), u = (v^2+1)^(1/2), x =
0, y = -2, z = 2^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/
1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[1, 18, 6, 2
, 5], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, y = -2, 2^(1/2) < z], [
regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [-2, -2], [
3, 3]]]], [[1, 19, 11, 6, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2)
^(1/2)), 1 < x, y = u^2-v^2-x-1, z = z], [regular_chain, [[-3, -3], [3396811/
1048576, 3396811/1048576], [2, 2], [-394777/262144, -3158215/2097152], [0, 0]]
]], [[2, 3, 1, 4, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y =
-u^2-x+1, z < -(u^2-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [397921/262144, 
1591685/1048576], [-3, -3]]]], [[2, 3, 1, 4, 2], [v = -2^(1/2), And(-2 < u,u <
-3^(1/2)), x < -u^2+1, y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -\
4], [397921/262144, 1591685/1048576], [-825991/524288, -3303963/2097152]]]], [
[2, 3, 1, 4, 3], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -u^2
-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -4], [
397921/262144, 1591685/1048576], [-1/4194304, -1/4194304]]]], [[2, 3, 1, 4, 4]
, [v = -2^(1/2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, y = -u^2-x+1, z = (u^2-\
1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-4, -4], [397921/262144, 1591685/1048576], [
1651981/1048576, 825991/524288]]]], [[2, 3, 1, 4, 5], [v = -2^(1/2), And(-2 <
u,u < -3^(1/2)), x < -u^2+1, y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain,
[[-1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4
, -4], [397921/262144, 1591685/1048576], [3, 3]]]], [[2, 4, 4, 6, 1], [v = -2^
(1/2), u = -3^(1/2), x = -1, y = 1, z < 0], [regular_chain, [[-1482911/1048576
, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1], [-1
, -1]]]], [[2, 4, 4, 6, 2], [v = -2^(1/2), u = -3^(1/2), x = -1, y = 1, z = 0]
, [regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1, 1], [0, 0]]]], [[2, 4, 4, 6, 3], [v = -2^(1/2)
, u = -3^(1/2), x = -1, y = 1, 0 < z], [regular_chain, [[-1482911/1048576, -\
741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [1, 1], [1, 1]
]]], [[2, 7, 7, 3, 1], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0)
, And(u^2-x-3 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-808921/1048576, -808921/1048576], [-2, -2]
]]], [[2, 7, 7, 3, 2], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0)
, And(u^2-x-3 < y,y < -u^2-x+1), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-808921/1048576, -808921/1048576], [-1, -1]
]]], [[2, 7, 7, 3, 3], [v = -2^(1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0)
, And(u^2-x-3 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -\
808921/1048576], [0, 0]]]], [[2, 7, 7, 3, 4], [v = -2^(1/2), And(v < u,u < -1)
, And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -\
808921/1048576], [1, 1]]]], [[2, 7, 7, 3, 5], [v = -2^(1/2), And(v < u,u < -1)
, And(-u^2+1 < x,x < 0), And(u^2-x-3 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-808921/1048576, -\
808921/1048576], [2, 2]]]], [[2, 9, 2, 6, 1], [v = -2^(1/2), And(-1 < u,u < 0)
, x = u^2-3, y = -2*u^2+4, z = z], [regular_chain, [[-1482911/1048576, -741455
/524288], [-1/2, -1/2], [-11/4, -11/4], [7/2, 7/2], [0, 0]]]], [[2, 13, 5, 4,
1], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = 0, z < -(-x)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576
, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [-2, -2]]]],
[[2, 13, 5, 4, 2], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [
1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0
], [-3580063/4194304, -1790031/2097152]]]], [[2, 13, 5, 4, 3], [v = -2^(1/2),
And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = 0, And(-(-x)^(1/2) < z,z < (-x)
^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743/
1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [-1/
4194304, -1/4194304]]]], [[2, 13, 5, 4, 4], [v = -2^(1/2), And(1 < u,u < -v),
And(-1 < x,x < -u^2+1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/
2097152, -1527887/2097152], [0, 0], [895015/1048576, 111877/131072]]]], [[2, 
13, 5, 4, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), y = 0,
(-x)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [1265743
/1048576, 1265743/1048576], [-1527887/2097152, -1527887/2097152], [0, 0], [2,
2]]]], [[2, 15, 2, 5, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1,
And(2*u^2-4 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191/524288,
-1546381/1048576], [2541993/2097152, 2541993/2097152], [-2, -2]]]], [[2, 15, 2
, 5, 2], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(2*u^2-4 < y,y
< u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576
], [2541993/2097152, 2541993/2097152], [-268683/524288, -1074731/2097152]]]],
[[2, 15, 2, 5, 3], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(2*u
^2-4 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/
2097152], [-773191/524288, -1546381/1048576], [2541993/2097152, 2541993/
2097152], [-1/4194304, -1/4194304]]]], [[2, 15, 2, 5, 4], [v = -2^(1/2), And(-
v < u,u < 3^(1/2)), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), z = (u^2-y-1)^(1/2
)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [2541993/2097152, 
2541993/2097152], [537365/1048576, 268683/524288]]]], [[2, 15, 2, 5, 5], [v =
-2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, And(2*u^2-4 < y,y < u^2-1), (u^
2-y-1)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [
2541993/2097152, 2541993/2097152], [2, 2]]]], [[3, 1, 7, 4, 1], [And(-2^(1/2)
< v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-\
1/2, -1/2], [-1, -1]]]], [[3, 1, 7, 4, 2], [And(-2^(1/2) < v,v < -1), u < -(v^
2+2)^(1/2), And(0 < x,x < 1), y = -x, z = 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3, -3], [1/2, 1/2], [-1/2, -1/2], [0, 0]]]], [[3
, 1, 7, 4, 3], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1)
, y = -x, 0 < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-3,
-3], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[3, 2, 9, 9, 1], [And(-2^(1/2) < v,
v < -1), u = -(v^2+2)^(1/2), 1 < x, 0 < y, z = z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3899297/2097152, -7798593/4194304], [2, 2], [1,
1], [0, 0]]]], [[3, 7, 7, 3, 1], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^
2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1),
z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [-\
823391/1048576, -823391/1048576], [-2, -2]]]], [[3, 7, 7, 3, 2], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2
-v^2-x-1 < y,y < -u^2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-1265743
/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [-823391/1048576, -823391/1048576], [-1, -1]]]], [[
3, 7, 7, 3, 3], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(
-u^2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), And(-(-x-y)^(1/2
) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576
], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -225185/1048576], [
-823391/1048576, -823391/1048576], [0, 0]]]], [[3, 7, 7, 3, 4], [And(-2^(1/2)
< v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), And(u^2
-v^2-x-1 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/
1048576, -225185/1048576], [-823391/1048576, -823391/1048576], [1, 1]]]], [[3,
7, 7, 3, 5], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^
2+v^2-1 < x,x < 0), And(u^2-v^2-x-1 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-823391/1048576, -\
823391/1048576], [2, 2]]]], [[3, 9, 2, 6, 1], [And(-2^(1/2) < v,v < -1), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = z],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/
1048576, -1288231/524288], [3055773/1048576, 1527887/524288], [0, 0]]]], [[3,
17, 11, 3, 1], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, 
And(-u^2+v^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [8, 8], [-25735089/2097152, -25735089/
2097152], [-4, -4]]]], [[3, 17, 11, 3, 2], [And(-2^(1/2) < v,v < -1), (v^2+2)^
(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [-\
25735089/2097152, -25735089/2097152], [-2167143/1048576, -1083571/524288]]]],
[[3, 17, 11, 3, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 <
x, And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [-\
25735089/2097152, -25735089/2097152], [0, 0]]]], [[3, 17, 11, 3, 4], [And(-2^(
1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -
x), z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[3, 3], [8, 8], [-25735089/2097152, -25735089/2097152], [1083571/524288, 
2167143/1048576]]]], [[3, 17, 11, 3, 5], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1
/2) < u, u^2-v^2-1 < x, And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3], [8, 8], [-\
25735089/2097152, -25735089/2097152], [4, 4]]]], [[4, 2, 2, 6, 1], [v = -1, u
= -3^(1/2), x = -3, y = 4, z = z], [regular_chain, [[-1, -1], [-1816187/
1048576, -3632373/2097152], [-3, -3], [4, 4], [0, 0]]]], [[4, 6, 6, 5, 1], [v
= -1, u = -1, x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[-1, -1], [-1
, -1], [1, 1], [-1/2, -1/2], [0, 0]]]], [[4, 8, 2, 5, 1], [v = -1, u = 0, x =
-2, 2 < y, z = z], [regular_chain, [[-1, -1], [0, 0], [-2, -2], [3, 3], [0, 0]
]]], [[4, 14, 3, 9, 1], [v = -1, u = 3^(1/2), And(-3 < x,x < -1), 1-x < y, z =
z], [regular_chain, [[-1, -1], [908093/524288, 1816187/1048576], [-2, -2], [4,
4], [0, 0]]]], [[4, 15, 8, 5, 1], [v = -1, 3^(1/2) < u, x = 1, And(-1 < y,y <
0), z = z], [regular_chain, [[-1, -1], [3, 3], [1, 1], [-1/2, -1/2], [0, 0]]]]
, [[5, 4, 8, 6, 1], [And(-1 < v,v < 0), u = -(v^2+1)^(1/2), x = 1, y = 0, z =
z], [regular_chain, [[-1/2, -1/2], [-146543/131072, -1172343/1048576], [1, 1],
[0, 0], [0, 0]]]], [[5, 6, 3, 1, 1], [And(-1 < v,v < 0), u = v, And(-1 < x,x <
0), y < -1-x, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[-1/2, -1/2], [-2, -2], [-3, -3]]]], [[5, 6, 3, 1, 2], [And(-1 < v,v < 0), u =
v, And(-1 < x,x < 0), y < -1-x, z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1
/2], [-1/2, -1/2], [-1/2, -1/2], [-2, -2], [-3315889/2097152, -207243/131072]]
]], [[5, 6, 3, 1, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y < -1-x,
And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [-1/2
, -1/2], [-1/2, -1/2], [-2, -2], [0, 0]]]], [[5, 6, 3, 1, 4], [And(-1 < v,v <
0), u = v, And(-1 < x,x < 0), y < -1-x, z = (-x-y)^(1/2)], [regular_chain, [[-\
1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [-2, -2], [207243/131072, 1657945/
1048576]]]], [[5, 6, 3, 1, 5], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y
< -1-x, (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2,
-1/2], [-2, -2], [3, 3]]]], [[5, 9, 7, 7, 1], [And(-1 < v,v < 0), And(-v < u,u
< (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/
2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [312209/2097152, 312209/2097152], [-2, -2]
]]], [[5, 9, 7, 7, 2], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(
u^2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [
[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [312209/2097152, 312209/2097152], [-50573/131072, -404583/1048576]]]
], [[5, 9, 7, 7, 3], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^
2-v^2-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))
], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152], [-\
1248837/4194304, -1248837/4194304], [312209/2097152, 312209/2097152], [0, 0]]]
], [[5, 9, 7, 7, 4], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^
2-v^2-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1
/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [312209/2097152, 312209/2097152], [404583/1048576, 50573/131072]]]],
[[5, 9, 7, 7, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v
^2-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/2,
-1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/4194304
], [312209/2097152, 312209/2097152], [2, 2]]]], [[5, 11, 3, 3, 1], [And(-1 < v
,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [-\
767309/2097152, -767309/2097152], [-3, -3]]]], [[5, 11, 3, 3, 2], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2]
, [343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [-\
767309/2097152, -767309/2097152], [-1518679/1048576, -759339/524288]]]], [[5,
11, 3, 3, 3], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), 
And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0), And(-(-x-y)^(1/2) < z
,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -767309/
2097152], [0, 0]]]], [[5, 11, 3, 3, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < 0
), z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [-767309/2097152, -767309/
2097152], [759339/524288, 1518679/1048576]]]], [[5, 11, 3, 3, 5], [And(-1 < v,
v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1),
And(-u^2+v^2-x-1 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1/2, -1/2],
[343151/262144, 343151/262144], [-1815885/1048576, -1815885/1048576], [-767309
/2097152, -767309/2097152], [3, 3]]]], [[6, 2, 1, 6, 1], [v = 0, u = -2^(1/2),
x < -3, y = -x, z < 0], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-4, -4], [4, 4], [-1, -1]]]], [[6, 2, 1, 6, 2], [v = 0, u = -2^(1/2)
, x < -3, y = -x, z = 0], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-4, -4], [4, 4], [0, 0]]]], [[6, 2, 1, 6, 3], [v = 0, u = -2^(1/2),
x < -3, y = -x, 0 < z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/
524288], [-4, -4], [4, 4], [1, 1]]]], [[6, 3, 6, 2, 1], [v = 0, And(-2^(1/2) <
u,u < -1), x = 0, y = -u^2-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-\
1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288
], [-3, -3]]]], [[6, 3, 6, 2, 2], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, y =
-u^2-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288], [-410915/262144
, -3287319/2097152]]]], [[6, 3, 6, 2, 3], [v = 0, And(-2^(1/2) < u,u < -1), x
= 0, y = -u^2-1, And(-(u^2+1)^(1/2) < z,z < (u^2+1)^(1/2))], [regular_chain, [
[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -\
1288231/524288], [-1/4194304, -1/4194304]]]], [[6, 3, 6, 2, 4], [v = 0, And(-2
^(1/2) < u,u < -1), x = 0, y = -u^2-1, z = (u^2+1)^(1/2)], [regular_chain, [[0
, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -\
1288231/524288], [1643659/1048576, 410915/262144]]]], [[6, 3, 6, 2, 5], [v = 0
, And(-2^(1/2) < u,u < -1), x = 0, y = -u^2-1, (u^2+1)^(1/2) < z], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
2576463/1048576, -1288231/524288], [3, 3]]]], [[6, 9, 7, 8, 1], [v = 0, And(1
< u,u < 2^(1/2)), And(0 < x,x < u^2-1), y = u^2-x-1, z = z], [regular_chain, [
[0, 0], [1265743/1048576, 1265743/1048576], [239655/1048576, 239655/1048576],
[239655/1048576, 29957/131072], [0, 0]]]], [[6, 11, 1, 4, 1], [v = 0, 2^(1/2)
< u, x < -u^2-1, y = -u^2-x-1, z < -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [
3, 3], [-11, -11], [1, 1], [-5, -5]]]], [[6, 11, 1, 4, 2], [v = 0, 2^(1/2) < u
, x < -u^2-1, y = -u^2-x-1, z = -(u^2+1)^(1/2)], [regular_chain, [[0, 0], [3,
3], [-11, -11], [1, 1], [-3315889/1048576, -207243/65536]]]], [[6, 11, 1, 4, 3
], [v = 0, 2^(1/2) < u, x < -u^2-1, y = -u^2-x-1, And(-(u^2+1)^(1/2) < z,z < (
u^2+1)^(1/2))], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1, 1], [0, 0]]]]
, [[6, 11, 1, 4, 4], [v = 0, 2^(1/2) < u, x < -u^2-1, y = -u^2-x-1, z = (u^2+1
)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1, 1], [207243/65536,
3315889/1048576]]]], [[6, 11, 1, 4, 5], [v = 0, 2^(1/2) < u, x < -u^2-1, y = -
u^2-x-1, (u^2+1)^(1/2) < z], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1,
1], [5, 5]]]], [[7, 3, 10, 9, 1], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = 1, 0 < y, z = z], [regular_chain, [[1/2, 1/2], [-343151
/262144, -343151/262144], [1, 1], [1, 1], [0, 0]]]], [[7, 5, 6, 3, 1], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 <
y,y < 0), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-3393259/
8388608, -3393259/8388608], [-2, -2]]]], [[7, 5, 6, 3, 2], [And(0 < v,v < 1),
And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z
= -(-u^2+v^2-y+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -\
1696631/2097152], [-624419/1048576, -1248837/2097152], [-3393259/8388608, -\
3393259/8388608], [-8796092874415/8796093022208, -35184371497659/
35184372088832]]]], [[7, 5, 6, 3, 3], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), And(-(-u^2+v^2-y+1)^(1/
2) < z,z < (-u^2+v^2-y+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [-3393259/
8388608, -3393259/8388608], [-32963259/70368744177664, -32963259/
70368744177664]]]], [[7, 5, 6, 3, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) <
u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), z = (-u^2+v^2-y+1)^(1/2
)], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [
1048575/1048576, 1]]]], [[7, 5, 6, 3, 5], [And(0 < v,v < 1), And(-(v^2+1)^(1/2
) < u,u < -v), x = u^2-v^2-1, And(-2*u^2+2*v^2 < y,y < 0), (-u^2+v^2-y+1)^(1/2
) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-\
624419/1048576, -1248837/2097152], [-3393259/8388608, -3393259/8388608], [2, 2
]]]], [[8, 1, 5, 7, 1], [v = 1, u < -3^(1/2), And(-1 < x,x < 0), And(-x < y,y
< u^2-x-2), z = z], [regular_chain, [[1, 1], [-3, -3], [-1/2, -1/2], [4, 4], [
0, 0]]]], [[8, 2, 7, 8, 1], [v = 1, u = -3^(1/2), And(0 < x,x < 1), y = 1-x, z
= z], [regular_chain, [[1, 1], [-1816187/1048576, -3632373/2097152], [1/2, 1/2
], [1/2, 1/2], [0, 0]]]], [[8, 7, 5, 6, 1], [v = 1, And(-1 < u,u < 0), And(-1
< x,x < -u^2), y = -u^2-x, z < u], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/
8, -5/8], [3/8, 3/8], [-2, -2]]]], [[8, 7, 5, 6, 2], [v = 1, And(-1 < u,u < 0)
, And(-1 < x,x < -u^2), y = -u^2-x, z = u], [regular_chain, [[1, 1], [-1/2, -1
/2], [-5/8, -5/8], [3/8, 3/8], [-1/2, -1/2]]]], [[8, 7, 5, 6, 3], [v = 1, And(
-1 < u,u < 0), And(-1 < x,x < -u^2), y = -u^2-x, And(u < z,z < -u)], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3/8, 3/8], [0, 0]]]], [[8
, 7, 5, 6, 4], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y = -u^2-x, z
= -u], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3/8, 3/8], [1/2,
1/2]]]], [[8, 7, 5, 6, 5], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), y
= -u^2-x, -u < z], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3/8,
3/8], [2, 2]]]], [[8, 8, 9, 5, 1], [v = 1, u = 0, 1 < x, And(-x < y,y < 0), z
= z], [regular_chain, [[1, 1], [0, 0], [2, 2], [-1, -1], [0, 0]]]], [[8, 14, 9
, 6, 1], [v = 1, u = 3^(1/2), 1 < x, y = 1-x, z = z], [regular_chain, [[1, 1],
[908093/524288, 1816187/1048576], [2, 2], [-1, -1], [0, 0]]]], [[9, 1, 2, 5, 1
], [And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, And(u^2-v^2+1
< y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[1265743/1048576, 1265743/
1048576], [-3, -3], [-4478937/524288, -8957873/1048576], [6194117/524288, 
6194117/524288], [0, 0]]]], [[9, 5, 5, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x
), z < -(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [1/2
, 1/2], [-2, -2]]]], [[9, 5, 5, 7, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(
1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805
/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [1/2, 1/2],
[-270523/524288, -1082091/2097152]]]], [[9, 5, 5, 7, 3], [And(1 < v,v < 2^(1/2
)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [1/2, 1/2], [-1/4194304, -1/4194304]]]], [
[9, 5, 5, 7, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(
-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [1/2, 1/2], [541045/
1048576, 270523/524288]]]], [[9, 5, 5, 7, 5], [And(1 < v,v < 2^(1/2)), And(-(v
^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), And(u^2-v^2-x-1 < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [1/2
, 1/2], [2, 2]]]], [[9, 7, 2, 4, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -
(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/524288, 
1196411/1048576], [-2, -2]]]], [[9, 7, 2, 4, 2], [And(1 < v,v < 2^(1/2)), And(
-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^
(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304
, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/524288, 
1196411/1048576], [-1374407/2097152, -687203/1048576]]]], [[9, 7, 2, 4, 3], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*
u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [598205/524288, 1196411/1048576], [0, 0]]]
], [[9, 7, 2, 4, 4], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)),
x = u^2-v^2-1, y = -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [598205/524288, 1196411/1048576], [687203/
1048576, 171801/262144]]]], [[9, 7, 2, 4, 5], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, y = -2*u^2+2*v^2, (u^2-v^2+1)^(1/2) <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/524288, 
1196411/1048576], [2, 2]]]], [[9, 9, 11, 6, 1], [And(1 < v,v < 2^(1/2)), And(-
(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), 1 < x, y = -u^2+v^2-x-1, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [0, 0], [2, 2], [-3235683/
2097152, -1617841/1048576], [0, 0]]]], [[9, 11, 6, 5, 1], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z
< -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [450371/
2097152, 450371/2097152], [-2, -2]]]], [[9, 11, 6, 5, 2], [And(1 < v,v < 2^(1/
2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z
= -(u^2-v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [450371/
2097152, 450371/2097152], [-485927/1048576, -242963/524288]]]], [[9, 11, 6, 5,
3], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And
(0 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))],
[regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [450371/2097152, 450371/2097152],
[0, 0]]]], [[9, 11, 6, 5, 4], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u
< v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), z = (u^2-v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [450371/2097152, 450371/2097152],
[242963/524288, 485927/1048576]]]], [[9, 11, 6, 5, 5], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, And(0 < y,y < u^2-v^2+1), (u^2
-v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [450371/
2097152, 450371/2097152], [2, 2]]]], [[9, 16, 2, 3, 1], [And(1 < v,v < 2^(1/2)
), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z < -(3-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-3, -3], [3/2, 3/2], [-3, -3]]]], [[9, 16, 2, 3, 2], [And(1 < v,v <
2^(1/2)), u = (v^2+2)^(1/2), x = -3, And(0 < y,y < 3), z = -(3-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-3, -3], [3/2, 3/2], [-1284239/1048576, -642119/524288]]]], [[9, 16
, 2, 3, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, And(0 < y,y <
3), And(-(3-y)^(1/2) < z,z < (3-y)^(1/2))], [regular_chain, [[1265743/1048576,
1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3], [3/2, 3/2], [0, 0
]]]], [[9, 16, 2, 3, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, 
And(0 < y,y < 3), z = (3-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743
/1048576], [121853/65536, 1949649/1048576], [-3, -3], [3/2, 3/2], [642119/
524288, 1284239/1048576]]]], [[9, 16, 2, 3, 5], [And(1 < v,v < 2^(1/2)), u = (
v^2+2)^(1/2), x = -3, And(0 < y,y < 3), (3-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [121853/65536, 1949649/1048576], [-3, -3],
[3/2, 3/2], [3, 3]]]], [[9, 17, 6, 4, 1], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/
2) < u, x = 0, y = 0, z < 0], [regular_chain, [[1265743/1048576, 1265743/
1048576], [3, 3], [0, 0], [0, 0], [-1, -1]]]], [[9, 17, 6, 4, 2], [And(1 < v,v
< 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y = 0, z = 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [3, 3], [0, 0], [0, 0], [0, 0]]]], [[9, 17, 6, 4,
3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, y = 0, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [0, 0], [1
, 1]]]], [[10, 5, 11, 7, 1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, 
And(-x < y,y < 0), z = z], [regular_chain, [[741455/524288, 1482911/1048576],
[-6598195/4194304, -6598195/4194304], [2, 2], [-1, -1], [0, 0]]]], [[10, 7, 8,
4, 1], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y = -u^2+1, z < -(u^2-1)^(1/2)
], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -\
1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [-2, -2]]]], [[10
, 7, 8, 4, 2], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y = -u^2+1, z = -(u^2-\
1)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1265743/
1048576, -1265743/1048576], [0, 0], [-479311/1048576, -239655/524288], [-\
1417877/2097152, -354469/524288]]]], [[10, 7, 8, 4, 3], [v = 2^(1/2), And(-v <
u,u < -1), x = 0, y = -u^2+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [0, 0], [-479311/1048576, -239655/524288], [0, 0]]]], [[10, 7, 8, 4,
4], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y = -u^2+1, z = (u^2-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [0, 0], [-479311/1048576, -239655/524288], [354469/524288, 708939/
1048576]]]], [[10, 7, 8, 4, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 0, y = -
u^2+1, (u^2-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-1265743/1048576, -1265743/1048576], [0, 0], [-479311/1048576, -239655/524288
], [2, 2]]]], [[10, 11, 11, 6, 1], [v = 2^(1/2), And(0 < u,u < 1), 1 < x, y =
-u^2-x+1, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [1/2, 1/2
], [2, 2], [-5/4, -5/4], [0, 0]]]], [[10, 13, 6, 5, 1], [v = 2^(1/2), And(1 <
u,u < v), x = -u^2+1, And(0 < y,y < u^2-1), z < -(u^2-y-1)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [239655/1048576, 239655/1048576],
[-2, -2]]]], [[10, 13, 6, 5, 2], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, 
And(0 < y,y < u^2-1), z = -(u^2-y-1)^(1/2)], [regular_chain, [[741455/524288,
1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -\
239655/524288], [239655/1048576, 239655/1048576], [-31331/65536, -501295/
1048576]]]], [[10, 13, 6, 5, 3], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, 
And(0 < y,y < u^2-1), And(-(u^2-y-1)^(1/2) < z,z < (u^2-y-1)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [239655/1048576, 239655/1048576],
[0, 0]]]], [[10, 13, 6, 5, 4], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, And
(0 < y,y < u^2-1), z = (u^2-y-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -\
239655/524288], [239655/1048576, 239655/1048576], [501295/1048576, 31331/65536
]]]], [[10, 13, 6, 5, 5], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, And(0 <
y,y < u^2-1), (u^2-y-1)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [1265743/1048576, 1265743/1048576], [-479311/1048576, -239655/524288
], [239655/1048576, 239655/1048576], [2, 2]]]], [[11, 3, 2, 6, 1], [2^(1/2) <
v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^2+v^2-1, y = 2*u^2-2*v^2
, z = z], [regular_chain, [[3, 3], [-3396811/1048576, -3396811/1048576], [-\
2615197/1048576, -653799/262144], [391655/131072, 3133241/1048576], [0, 0]]]],
[[11, 4, 5, 6, 1], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x
, z < 0], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -\
1/2], [1/2, 1/2], [-1, -1]]]], [[11, 4, 5, 6, 2], [2^(1/2) < v, u = -(v^2+1)^(
1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[3, 3], [-3315889/
1048576, -207243/65536], [-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[11, 4, 5, 6, 3
], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [
regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [1/2,
1/2], [1, 1]]]], [[11, 9, 4, 3, 1], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -
(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), z < -(1-y)^(1/2)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
3163223/4194304, -3163223/4194304], [-3, -3]]]], [[11, 9, 4, 3, 2], [2^(1/2) <
v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0),
z = -(1-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/
8388608], [-1, -1], [-3163223/4194304, -3163223/4194304], [-347197/262144, -\
1388787/1048576]]]], [[11, 9, 4, 3, 3], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u
< -(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1
-y)^(1/2))], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-1, -1], [-3163223/4194304, -3163223/4194304], [0, 0]]]], [[11, 9, 4, 3, 4],
[2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, And(u^2-v^2
< y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[3, 3], [-22960369/8388608, -\
22960369/8388608], [-1, -1], [-3163223/4194304, -3163223/4194304], [1388787/
1048576, 347197/262144]]]], [[11, 9, 4, 3, 5], [2^(1/2) < v, And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), x = -1, And(u^2-v^2 < y,y < 0), (1-y)^(1/2) < z], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [-\
3163223/4194304, -3163223/4194304], [3, 3]]]], [[11, 10, 6, 2, 1], [2^(1/2) <
v, u = -(v^2-2)^(1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[3, 3],
[-5548543/2097152, -2774271/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[11, 10,
6, 2, 2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[11, 10, 6, 2, 3], [2^(1/2) < v, u
= -(v^2-2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3, -3]
, [-1/4194304, -1/4194304]]]], [[11, 10, 6, 2, 4], [2^(1/2) < v, u = -(v^2-2)^
(1/2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[3, 3], [-5548543/2097152
, -2774271/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[
11, 10, 6, 2, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, y = -3, 3^(1/2) < z
], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3,
-3], [3, 3]]]], [[11, 16, 3, 4, 1], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y
= 0, z < -(-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [0, 0],
[-2, -2]]]], [[11, 16, 3, 4, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = 0
, z = -(-x)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [0, 0], [-\
1482911/2097152, -741455/1048576]]]], [[11, 16, 3, 4, 3], [2^(1/2) < v, u = v,
And(-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z < (-x)^(1/2))], [regular_chain
, [[3, 3], [3, 3], [-1/2, -1/2], [0, 0], [0, 0]]]], [[11, 16, 3, 4, 4], [2^(1/
2) < v, u = v, And(-1 < x,x < 0), y = 0, z = (-x)^(1/2)], [regular_chain, [[3,
3], [3, 3], [-1/2, -1/2], [0, 0], [741455/1048576, 46341/65536]]]], [[11, 16,
3, 4, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [
regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [0, 0], [2, 2]]]], [[11, 17, 10,
6, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, y = -1, z < 0], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-1, -1], [-1,
-1]]]], [[11, 17, 10, 6, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1
, y = -1, z = 0], [regular_chain, [[3, 3], [403851/131072, 403851/131072], [1,
1], [-1, -1], [0, 0]]]], [[11, 17, 10, 6, 3], [2^(1/2) < v, And(v < u,u < (v^2
+1)^(1/2)), x = 1, y = -1, 0 < z], [regular_chain, [[3, 3], [403851/131072, 
403851/131072], [1, 1], [-1, -1], [1, 1]]]], [[1, 2, 3, 3, 1], [v < -2^(1/2),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z < -(-x-y)^(1/2)
], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [
-1/2, -1/2], [-3, -3]]]], [[1, 2, 3, 3, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2),
And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [
[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1/2, -1/2], [-\
3315889/2097152, -207243/131072]]]], [[1, 2, 3, 3, 3], [v < -2^(1/2), u = -(v^
2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576]
, [-2, -2], [-1/2, -1/2], [0, 0]]]], [[1, 2, 3, 3, 4], [v < -2^(1/2), u = -(v^
2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [-1/2
, -1/2], [207243/131072, 1657945/1048576]]]], [[1, 2, 3, 3, 5], [v < -2^(1/2),
u = -(v^2+2)^(1/2), And(-3 < x,x < -1), And(-x-3 < y,y < 0), (-x-y)^(1/2) < z]
, [regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [-\
1/2, -1/2], [3, 3]]]], [[1, 3, 7, 8, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u
,u < -(v^2+1)^(1/2)), And(0 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = z], [
regular_chain, [[-3, -3], [-3396811/1048576, -3396811/1048576], [129511/524288
, 129511/524288], [129511/524288, 259023/1048576], [0, 0]]]], [[1, 8, 3, 6, 1]
, [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, z < 0], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[3/2, 3/2], [-1, -1]]]], [[1, 8, 3, 6, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2),
And(-2 < x,x < -1), y = -x, z = 0], [regular_chain, [[-3, -3], [-2965821/
1048576, -11863283/4194304], [-3/2, -3/2], [3/2, 3/2], [0, 0]]]], [[1, 8, 3, 6
, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), y = -x, 0 < z], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[3/2, 3/2], [1, 1]]]], [[1, 9, 9, 7, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2) < u
,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), And(-u^2+v^2-x-1 < y,y < 0),
z = z], [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [
395403/524288, 395403/524288], [-128885/1048576, -128885/1048576], [0, 0]]]],
[[1, 15, 5, 4, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x
< -u^2+v^2-1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [-2, -2]]
]], [[1, 15, 5, 4, 2], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 <
x,x < -u^2+v^2-1), y = 0, z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [
-1811727/2097152, -3623453/4194304]]]], [[1, 15, 5, 4, 3], [v < -2^(1/2), And(
(v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = 0, And(-(-x)^(1/2)
< z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [6111549/2097152, 6111549/
2097152], [-391287/524288, -391287/524288], [0, 0], [-1/8388608, -1/8388608]]]
], [[1, 15, 5, 4, 4], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x
,x < -u^2+v^2-1), y = 0, z = (-x)^(1/2)], [regular_chain, [[-3, -3], [6111549/
2097152, 6111549/2097152], [-391287/524288, -391287/524288], [0, 0], [905863/
1048576, 113233/131072]]]], [[1, 15, 5, 4, 5], [v < -2^(1/2), And((v^2-1)^(1/2
) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), y = 0, (-x)^(1/2) < z], [
regular_chain, [[-3, -3], [6111549/2097152, 6111549/2097152], [-391287/524288,
-391287/524288], [0, 0], [2, 2]]]], [[1, 17, 2, 5, 1], [v < -2^(1/2), And(-v <
u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z <
-(u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 403851/
131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/1048576
], [-2, -2]]]], [[1, 17, 2, 5, 2], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)
), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), z = -(u^2-v^2-y+1)^(1/2
)], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/131072
, -1565959/1048576], [1300363/1048576, 1300363/1048576], [-527729/1048576, -\
1055457/2097152]]]], [[1, 17, 2, 5, 3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^
(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2+1), And(-(u^2-v^2-y+1)
^(1/2) < z,z < (u^2-v^2-y+1)^(1/2))], [regular_chain, [[-3, -3], [403851/
131072, 403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576,
1300363/1048576], [-1/4194304, -1/4194304]]]], [[1, 17, 2, 5, 4], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-
v^2+1), z = (u^2-v^2-y+1)^(1/2)], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/
1048576], [32983/65536, 527729/1048576]]]], [[1, 17, 2, 5, 5], [v < -2^(1/2),
And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, And(2*u^2-2*v^2 < y,y < u^2-v^2
+1), (u^2-v^2-y+1)^(1/2) < z], [regular_chain, [[-3, -3], [403851/131072, 
403851/131072], [-195745/131072, -1565959/1048576], [1300363/1048576, 1300363/
1048576], [2, 2]]]], [[1, 21, 5, 3, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(
-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), z < -(-x-y)^(1/2)], [regular_chain
, [[-3, -3], [5, 5], [-1/2, -1/2], [-33/4, -33/4], [-4, -4]]]], [[1, 21, 5, 3,
2], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,
y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [
-33/4, -33/4], [-49627675/16777216, -24813837/8388608]]]], [[1, 21, 5, 3, 3],
[v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y <
0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3, -3], [5, 5
], [-1/2, -1/2], [-33/4, -33/4], [-5/16777216, -5/16777216]]]], [[1, 21, 5, 3,
4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,
y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-\
33/4, -33/4], [3101729/1048576, 1550865/524288]]]], [[1, 21, 5, 3, 5], [v < -2
^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), And(-u^2+v^2-x-1 < y,y < 0), (-x
-y)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-33/4, -33/4
], [4, 4]]]], [[2, 1, 7, 8, 1], [v = -2^(1/2), u < -2, And(0 < x,x < 1), y = u
^2-x-3, z = z], [regular_chain, [[-1482911/1048576, -741455/524288], [-3, -3],
[1/2, 1/2], [11/2, 11/2], [0, 0]]]], [[2, 10, 5, 2, 1], [v = -2^(1/2), u = 0,
And(-1 < x,x < 0), y = -x-3, z < -3^(1/2)], [regular_chain, [[-1482911/1048576
, -741455/524288], [0, 0], [-1/2, -1/2], [-5/2, -5/2], [-3, -3]]]], [[2, 10, 5
, 2, 2], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), y = -x-3, z = -3^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-5/
2, -5/2], [-1816187/1048576, -3632373/2097152]]]], [[2, 10, 5, 2, 3], [v = -2^
(1/2), u = 0, And(-1 < x,x < 0), y = -x-3, And(-3^(1/2) < z,z < 3^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-5/
2, -5/2], [-1/4194304, -1/4194304]]]], [[2, 10, 5, 2, 4], [v = -2^(1/2), u = 0
, And(-1 < x,x < 0), y = -x-3, z = 3^(1/2)], [regular_chain, [[-1482911/
1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-5/2, -5/2], [908093/524288,
1816187/1048576]]]], [[2, 10, 5, 2, 5], [v = -2^(1/2), u = 0, And(-1 < x,x < 0
), y = -x-3, 3^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/524288]
, [0, 0], [-1/2, -1/2], [-5/2, -5/2], [3, 3]]]], [[2, 11, 9, 9, 1], [v = -2^(1
/2), And(0 < u,u < 1), And(-u^2+1 < x,x < 1), 0 < y, z = z], [regular_chain, [
[-1482911/1048576, -741455/524288], [1/2, 1/2], [7/8, 7/8], [1, 1], [0, 0]]]],
[[2, 16, 6, 2, 1], [v = -2^(1/2), u = 3^(1/2), x = 0, y = -2, z < -2^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [0, 0], [-2, -2], [-3, -3]]]], [[2, 16, 6, 2, 2], [v = -2^(1/2), u =
3^(1/2), x = 0, y = -2, z = -2^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [908093/524288, 1816187/1048576], [0, 0], [-2, -2], [-1482911/
1048576, -741455/524288]]]], [[2, 16, 6, 2, 3], [v = -2^(1/2), u = 3^(1/2), x
= 0, y = -2, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [0, 0], [-2, -2],
[0, 0]]]], [[2, 16, 6, 2, 4], [v = -2^(1/2), u = 3^(1/2), x = 0, y = -2, z = 2
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288,
1816187/1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[2,
16, 6, 2, 5], [v = -2^(1/2), u = 3^(1/2), x = 0, y = -2, 2^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [0, 0], [-2, -2], [3, 3]]]], [[2, 17, 11, 6, 1], [v = -2^(1/2), And(
3^(1/2) < u,u < 2), 1 < x, y = u^2-x-3, z = z], [regular_chain, [[-1482911/
1048576, -741455/524288], [3913339/2097152, 3913339/2097152], [2, 2], [-\
1591685/1048576, -3183369/2097152], [0, 0]]]], [[3, 4, 4, 2, 1], [And(-2^(1/2)
< v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = -1, z < -2^(1/2)], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [
-1, -1], [-1, -1], [-3, -3]]]], [[3, 4, 4, 2, 2], [And(-2^(1/2) < v,v < -1), u
= -(v^2+1)^(1/2), x = -1, y = -1, z = -2^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -1], [-1,
-1], [-1482911/1048576, -741455/524288]]]], [[3, 4, 4, 2, 3], [And(-2^(1/2) <
v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = -1, And(-2^(1/2) < z,z < 2^(1/2))],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-1, -1], [0, 0]]]], [[3, 4, 4, 2, 4], [And(-2^(1/
2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = -1, z = 2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-1, -1], [741455/524288, 1482911/1048576]]]], [[3
, 4, 4, 2, 5], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, y = -1,
2^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1, -1], [-1, -1], [3, 3]]]], [[3, 5, 10, 1, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2
, z < -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
-5818805/4194304, -5818805/4194304], [1, 1], [-4, -4], [-3, -3]]]], [[3, 5, 10
, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y <
-u^2+v^2-2, z = -(-y-1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-4, -4], [-1816187/
1048576, -3632373/2097152]]]], [[3, 5, 10, 1, 3], [And(-2^(1/2) < v,v < -1), 
And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, And(-(-y-1)^(1/2) < z,z
< (-y-1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-\
5818805/4194304, -5818805/4194304], [1, 1], [-4, -4], [-1/4194304, -1/4194304]
]]], [[3, 5, 10, 1, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u <
v), x = 1, y < -u^2+v^2-2, z = (-y-1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-4,
-4], [908093/524288, 1816187/1048576]]]], [[3, 5, 10, 1, 5], [And(-2^(1/2) < v
,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y < -u^2+v^2-2, (-y-1)^(1/2) <
z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304,
-5818805/4194304], [1, 1], [-4, -4], [3, 3]]]], [[3, 10, 6, 3, 1], [And(-2^(1/
2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)^(1/2)],
[regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-1, -1], [-2, -2]]]], [[3, 10, 6, 3, 2], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-1, -1], [-1, -1]]]], [[3, 10, 6, 3, 3], [And(-2^(1/2) < v,
v < -1), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [0, 0], [-1, -1], [0, 0]]]], [[3, 10, 6, 3, 4], [And(
-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), z = (-y)^(1
/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [0, 0], [-1, -1], [1, 1]]]], [[3, 10, 6, 3, 5], [And(-2^(1/2)
< v,v < -1), u = (v^2-1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-1, -1], [2, 2]]]], [[3, 11, 11, 7, 1], [And(-2^(1/2) < v,v
< -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, And(-x < y,y < 0), z = z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-1, -1], [0, 0]]]], [[3, 15, 4, 2, 1], [And(-2^(1/2) < v,v
< -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z < -(u
^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
898327/524288, 898327/524288], [-1, -1], [-775271/524288, -1550541/1048576], [
-3, -3]]]], [[3, 15, 4, 2, 2], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-775271/524288, -1550541/1048576], [-3301741/2097152, -\
825435/524288]]]], [[3, 15, 4, 2, 3], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(
1/2) < u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [898327/524288, 898327/524288], [-1, -1], [-775271/524288, -1550541/1048576]
, [0, 0]]]], [[3, 15, 4, 2, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-775271/524288, -1550541/1048576], [825435/524288, 1650871
/1048576]]]], [[3, 15, 4, 2, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2)
< u,u < (v^2+2)^(1/2)), x = -1, y = -u^2+v^2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-775271/524288, -1550541/1048576], [3, 3]]]], [[3, 16, 6,
5, 1], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, And(0 < y,y < 1),
z = z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536,
1949649/1048576], [0, 0], [1/2, 1/2], [0, 0]]]], [[4, 3, 7, 3, 1], [v = -1, 
And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-773191/524288, -773191/524288],
[-3, -3]]]], [[4, 3, 7, 3, 2], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0
< x,x < u^2-2), And(-u^2-x < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[
-1, -1], [-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576
], [-773191/524288, -773191/524288], [-145801/131072, -1166407/1048576]]]], [[
4, 3, 7, 3, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2),
And(-u^2-x < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-773191/524288, -773191/524288], [0, 0]]]], [[4, 3,
7, 3, 4], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(-
u^2-x < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [-6598195/
4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-773191/524288,
-773191/524288], [1166407/1048576, 145801/131072]]]], [[4, 3, 7, 3, 5], [v = -\
1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), And(-u^2-x < y,y < -x
), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/
4194304], [248903/1048576, 248903/1048576], [-773191/524288, -773191/524288],
[3, 3]]]], [[4, 5, 2, 6, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y =
u^2, z < 0], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576],
[-1527887/1048576, -763943/524288], [763943/524288, 1527887/1048576], [-1, -1]
]]], [[4, 5, 2, 6, 2], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y = u^2, z
= 0], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-\
1527887/1048576, -763943/524288], [763943/524288, 1527887/1048576], [0, 0]]]],
[[4, 5, 2, 6, 3], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, y = u^2, 0 < z]
, [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887/
1048576, -763943/524288], [763943/524288, 1527887/1048576], [1, 1]]]], [[4, 11
, 5, 8, 1], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -x, z
< 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683
/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [-1, -1]]]], [[4
, 11, 5, 8, 2], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y = -x
, z = 0], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [0, 0]]]]
, [[4, 11, 5, 8, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), y
= -x, 0 < z], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [
-3235683/4194304, -3235683/4194304], [101115/131072, 808921/1048576], [1, 1]]]
], [[4, 13, 1, 4, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^
2-x, z < -u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [
-4, -4], [799673/524288, 1599347/1048576], [-3, -3]]]], [[4, 13, 1, 4, 2], [v
= -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, z = -u], [
regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [
799673/524288, 1599347/1048576], [-3299097/2097152, -3299097/2097152]]]], [[4,
13, 1, 4, 3], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, And
(-u < z,z < u)], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152]
, [-4, -4], [799673/524288, 1599347/1048576], [-1/4194304, -1/4194304]]]], [[4
, 13, 1, 4, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, z
= u], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4],
[799673/524288, 1599347/1048576], [412387/262144, 1649549/1048576]]]], [[4, 13
, 1, 4, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, y = -u^2-x, u < z
], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152], [-4, -4], [
799673/524288, 1599347/1048576], [3, 3]]]], [[5, 1, 10, 7, 1], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), x = u^2-v^2-1, 0 < y, z = z], [regular_chain, [[-1/2,
-1/2], [-3, -3], [31/4, 31/4], [1, 1], [0, 0]]]], [[5, 3, 4, 5, 1], [And(-1 <
v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1)
, z < -(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/
262144], [-1, -1], [1/2, 1/2], [-2, -2]]]], [[5, 3, 4, 5, 2], [And(-1 < v,v <
0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), z =
-(1-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144]
, [-1, -1], [1/2, 1/2], [-1482911/2097152, -741455/1048576]]]], [[5, 3, 4, 5,
3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, 
And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1
/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [1/2, 1/2], [0, 0]]]],
[[5, 3, 4, 5, 4], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-343151/262144, -343151/262144], [-1, -1], [1/2, 1/2], [741455/1048576, 46341
/65536]]]], [[5, 3, 4, 5, 5], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -
(v^2+1)^(1/2)), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [regular_chain, [[
-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [1/2, 1/2], [2, 2]]]]
, [[5, 12, 5, 6, 1], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0),
y = -x, z < 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [1/2,
1/2], [-1, -1]]]], [[5, 12, 5, 6, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 
And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[-1/2, -1/2], [3/2, 3/2],
[-1/2, -1/2], [1/2, 1/2], [0, 0]]]], [[5, 12, 5, 6, 3], [And(-1 < v,v < 0), u
= (v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[-1/2, -1
/2], [3/2, 3/2], [-1/2, -1/2], [1/2, 1/2], [1, 1]]]], [[5, 13, 10, 2, 1], [And
(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*v^2, z < -(u^2-
v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-35/2, -\
35/2], [-5, -5]]]], [[5, 13, 10, 2, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u,
x = u^2-v^2-1, y = -2*u^2+2*v^2, z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1
/2, -1/2], [3, 3], [31/4, 31/4], [-35/2, -35/2], [-1637089/524288, -3274177/
1048576]]]], [[5, 13, 10, 2, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^
2-v^2-1, y = -2*u^2+2*v^2, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))],
[regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-35/2, -35/2], [0, 0]]]]
, [[5, 13, 10, 2, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y
= -2*u^2+2*v^2, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3],
[31/4, 31/4], [-35/2, -35/2], [3274177/1048576, 1637089/524288]]]], [[5, 13, 
10, 2, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y = -2*u^2+2*
v^2, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/
4], [-35/2, -35/2], [5, 5]]]], [[6, 5, 1, 7, 1], [v = 0, And(-1 < u,u < 0), x
< -u^2-1, And(u^2-x-1 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[0, 0]
, [-1/2, -1/2], [-3, -3], [21/8, 21/8], [-2, -2]]]], [[6, 5, 1, 7, 2], [v = 0,
And(-1 < u,u < 0), x < -u^2-1, And(u^2-x-1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [21/8, 21/8], [-1284239/
2097152, -642119/1048576]]]], [[6, 5, 1, 7, 3], [v = 0, And(-1 < u,u < 0), x <
-u^2-1, And(u^2-x-1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [21/8, 21/8], [0, 0]]]], [[6,
5, 1, 7, 4], [v = 0, And(-1 < u,u < 0), x < -u^2-1, And(u^2-x-1 < y,y < -x), z
= (-x-y)^(1/2)], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [21/8, 21/8]
, [642119/1048576, 80265/131072]]]], [[6, 5, 1, 7, 5], [v = 0, And(-1 < u,u <
0), x < -u^2-1, And(u^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[
0, 0], [-1/2, -1/2], [-3, -3], [21/8, 21/8], [2, 2]]]], [[6, 6, 5, 4, 1], [v =
0, u = 0, And(0 < x,x < 1), y = -x, z < 0], [regular_chain, [[0, 0], [0, 0], [
1/2, 1/2], [-1/2, -1/2], [-1, -1]]]], [[6, 6, 5, 4, 2], [v = 0, u = 0, And(0 <
x,x < 1), y = -x, z = 0], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-1/2,
-1/2], [0, 0]]]], [[6, 6, 5, 4, 3], [v = 0, u = 0, And(0 < x,x < 1), y = -x, 0
< z], [regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-1/2, -1/2], [1, 1]]]], [[
7, 1, 3, 9, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x <
-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -\
43/8], [15, 15], [0, 0]]]], [[7, 2, 6, 3, 1], [And(0 < v,v < 1), u = -(v^2+2)^
(1/2), x = 0, And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[1/2, 1/2]
, [-3/2, -3/2], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[7, 2, 6, 3, 2], [And(0 <
v,v < 1), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[7, 2, 6, 3, 3], [And(0 < v,v < 1), u = -(v^2+2)
^(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [-3/2, -3/2], [0, 0]]]], [[7
, 2, 6, 3, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0)
, z = (-y)^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [-3/2, -\
3/2], [642119/524288, 1284239/1048576]]]], [[7, 2, 6, 3, 5], [And(0 < v,v < 1)
, u = -(v^2+2)^(1/2), x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [-3/2, -3/2], [3, 3]]]], [[7
, 7, 3, 6, 1], [And(0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1)
, y = -u^2+v^2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0,
0], [-9/8, -9/8], [3/8, 3/8], [-2, -2]]]], [[7, 7, 3, 6, 2], [And(0 < v,v < 1)
, And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(u^2-v^
2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/8, 3/8], [-\
1816187/2097152, -3632373/4194304]]]], [[7, 7, 3, 6, 3], [And(0 < v,v < 1), 
And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, And(-(u^2-v^2+
1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-9
/8, -9/8], [3/8, 3/8], [-1/8388608, -1/8388608]]]], [[7, 7, 3, 6, 4], [And(0 <
v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z =
(u^2-v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/8, 3
/8], [908093/1048576, 454047/524288]]]], [[7, 7, 3, 6, 5], [And(0 < v,v < 1),
And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (u^2-v^2+1)^(1
/2) < z], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/8, 3/8], [2, 2
]]]], [[7, 8, 7, 5, 1], [And(0 < v,v < 1), u = v, 1 < x, And(-x < y,y < 0), z
= z], [regular_chain, [[1/2, 1/2], [1/2, 1/2], [2, 2], [-1, -1], [0, 0]]]], [[
7, 11, 9, 8, 1], [And(0 < v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(u^2-v^2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[1/2, 1/2], [343151/
262144, 343151/262144], [1534619/2097152, 1534619/2097152], [0, 0], [0, 0]]]],
[[7, 13, 2, 7, 1], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, x = -u^2+v^2-1, 2*u^2
-2*v^2 < y, z = z], [regular_chain, [[1/2, 1/2], [3, 3], [-39/4, -39/4], [19,
19], [0, 0]]]], [[8, 4, 2, 2, 1], [v = 1, u = -2^(1/2), x = -2, y = 0, z < -2^
(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-2, -2],
[0, 0], [-3, -3]]]], [[8, 4, 2, 2, 2], [v = 1, u = -2^(1/2), x = -2, y = 0, z
= -2^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [-2,
-2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[8, 4, 2, 2, 3], [v = 1,
u = -2^(1/2), x = -2, y = 0, And(-2^(1/2) < z,z < 2^(1/2))], [regular_chain, [
[1, 1], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [0, 0]]]], [[8,
4, 2, 2, 4], [v = 1, u = -2^(1/2), x = -2, y = 0, z = 2^(1/2)], [regular_chain
, [[1, 1], [-1482911/1048576, -741455/524288], [-2, -2], [0, 0], [741455/
524288, 1482911/1048576]]]], [[8, 4, 2, 2, 5], [v = 1, u = -2^(1/2), x = -2, y
= 0, 2^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288]
, [-2, -2], [0, 0], [3, 3]]]], [[8, 5, 8, 1, 1], [v = 1, And(-2^(1/2) < u,u <
-1), x = 0, y < -u^2, z < -(-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[8, 5, 8, 1, 2], [
v = 1, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2, z = -(-y)^(1/2)], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [-3, -3]
, [-1816187/1048576, -3632373/2097152]]]], [[8, 5, 8, 1, 3], [v = 1, And(-2^(1
/2) < u,u < -1), x = 0, y < -u^2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0, 0], [-3, -3]
, [-1/4194304, -1/4194304]]]], [[8, 5, 8, 1, 4], [v = 1, And(-2^(1/2) < u,u <
-1), x = 0, y < -u^2, z = (-y)^(1/2)], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [0, 0], [-3, -3], [908093/524288, 1816187/1048576]
]]], [[8, 5, 8, 1, 5], [v = 1, And(-2^(1/2) < u,u < -1), x = 0, y < -u^2, (-y)
^(1/2) < z], [regular_chain, [[1, 1], [-1265743/1048576, -1265743/1048576], [0
, 0], [-3, -3], [3, 3]]]], [[8, 11, 11, 5, 1], [v = 1, And(1 < u,u < 2^(1/2)),
1 < x, And(u^2-x-2 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [
1265743/1048576, 1265743/1048576], [2, 2], [-4763569/2097152, -4763569/2097152
], [-2, -2]]]], [[8, 11, 11, 5, 2], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And
(u^2-x-2 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1], [1265743/
1048576, 1265743/1048576], [2, 2], [-4763569/2097152, -4763569/2097152], [-\
273157/524288, -1092627/2097152]]]], [[8, 11, 11, 5, 3], [v = 1, And(1 < u,u <
2^(1/2)), 1 < x, And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/
2))], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-\
4763569/2097152, -4763569/2097152], [-1/4194304, -1/4194304]]]], [[8, 11, 11,
5, 4], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And(u^2-x-2 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2
], [-4763569/2097152, -4763569/2097152], [546313/1048576, 273157/524288]]]], [
[8, 11, 11, 5, 5], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, And(u^2-x-2 < y,y <
-x), (-x-y)^(1/2) < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [-4763569/2097152, -4763569/2097152], [2, 2]]]], [[8, 13, 6,
4, 1], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y = 0, z < 0], [
regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0], [0, 0], [-\
1, -1]]]], [[8, 13, 6, 4, 2], [v = 1, And(2^(1/2) < u,u < 3^(1/2)), x = 0, y =
0, z = 0], [regular_chain, [[1, 1], [3299097/2097152, 3299097/2097152], [0, 0]
, [0, 0], [0, 0]]]], [[8, 13, 6, 4, 3], [v = 1, And(2^(1/2) < u,u < 3^(1/2)),
x = 0, y = 0, 0 < z], [regular_chain, [[1, 1], [3299097/2097152, 3299097/
2097152], [0, 0], [0, 0], [1, 1]]]], [[9, 2, 5, 6, 1], [And(1 < v,v < 2^(1/2))
, u = -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z < 0], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2
, -1/2], [1/2, 1/2], [-1, -1]]]], [[9, 2, 5, 6, 2], [And(1 < v,v < 2^(1/2)), u
= -(v^2+2)^(1/2), And(-1 < x,x < 0), y = -x, z = 0], [regular_chain, [[1265743
/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2]
, [1/2, 1/2], [0, 0]]]], [[9, 2, 5, 6, 3], [And(1 < v,v < 2^(1/2)), u = -(v^2+
2)^(1/2), And(-1 < x,x < 0), y = -x, 0 < z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2], [1/2,
1/2], [1, 1]]]], [[9, 3, 9, 9, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 1), 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [775271/1048576, 775271/1048576], [1, 1], [0, 0]]]], [[9, 
13, 4, 3, 1], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, 
And(-u^2+v^2 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [-490235/
2097152, -490235/2097152], [-3, -3]]]], [[9, 13, 4, 3, 2], [And(1 < v,v < 2^(1
/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = -(1-y
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/
1048576, 1454701/1048576], [-1, -1], [-490235/2097152, -490235/2097152], [-\
1164705/1048576, -36397/32768]]]], [[9, 13, 4, 3, 3], [And(1 < v,v < 2^(1/2)),
And(v < u,u < (v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), And(-(1-y)^(1/2
) < z,z < (1-y)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576],
[1454701/1048576, 1454701/1048576], [-1, -1], [-490235/2097152, -490235/
2097152], [0, 0]]]], [[9, 13, 4, 3, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u <
(v^2+1)^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), z = (1-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/
1048576], [-1, -1], [-490235/2097152, -490235/2097152], [36397/32768, 1164705/
1048576]]]], [[9, 13, 4, 3, 5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)
^(1/2)), x = -1, And(-u^2+v^2 < y,y < 0), (1-y)^(1/2) < z], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1
], [-490235/2097152, -490235/2097152], [3, 3]]]], [[9, 14, 7, 7, 1], [And(1 <
v,v < 2^(1/2)), u = (v^2+1)^(1/2), And(0 < x,x < 1), 0 < y, z = z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 1, 9, 4, 1], [v = 2^(1/2), u < -\
2, And(1 < x,x < u^2-3), y = -x, z < 0], [regular_chain, [[741455/524288, 
1482911/1048576], [-3, -3], [7/2, 7/2], [-7/2, -7/2], [-1, -1]]]], [[10, 1, 9,
4, 2], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), y = -x, z = 0], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-7/2,
-7/2], [0, 0]]]], [[10, 1, 9, 4, 3], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3
), y = -x, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3]
, [7/2, 7/2], [-7/2, -7/2], [1, 1]]]], [[10, 3, 2, 5, 1], [v = 2^(1/2), And(-2
< u,u < -3^(1/2)), x = -u^2+1, And(u^2-1 < y,y < 2*u^2-4), z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/
2097152], [-650655/262144, -2602619/1048576], [2855353/1048576, 2855353/
1048576], [0, 0]]]], [[10, 9, 4, 4, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -\
1, y = 0, z < -1], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -\
1/2], [-1, -1], [0, 0], [-2, -2]]]], [[10, 9, 4, 4, 2], [v = 2^(1/2), And(-1 <
u,u < 0), x = -1, y = 0, z = -1], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1, -1], [0, 0], [-1, -1]]]], [[10, 9, 4, 4, 3], [v =
2^(1/2), And(-1 < u,u < 0), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain,
[[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [0, 0], [0, 0]]]],
[[10, 9, 4, 4, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, y = 0, z = 1], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [0,
0], [1, 1]]]], [[10, 9, 4, 4, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, y =
0, 1 < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-\
1, -1], [0, 0], [2, 2]]]], [[10, 10, 6, 3, 1], [v = 2^(1/2), u = 0, x = 0, And
(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [0, 0], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[10, 10, 6, 3, 2], [v =
2^(1/2), u = 0, x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [0, 0], [-3/2, -3/2], [-1284239/
1048576, -642119/524288]]]], [[10, 10, 6, 3, 3], [v = 2^(1/2), u = 0, x = 0, 
And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [0, 0], [0, 0], [-3/2, -3/2], [0, 0]]]], [[10
, 10, 6, 3, 4], [v = 2^(1/2), u = 0, x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)]
, [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0], [-3/2, -3
/2], [642119/524288, 1284239/1048576]]]], [[10, 10, 6, 3, 5], [v = 2^(1/2), u
= 0, x = 0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/
524288, 1482911/1048576], [0, 0], [0, 0], [-3/2, -3/2], [3, 3]]]], [[10, 15, 4
, 3, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(-u^2+2 < y,y < 0),
z < -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [3299097
/2097152, 3299097/2097152], [-1, -1], [-497805/2097152, -497805/2097152], [-3,
-3]]]], [[10, 15, 4, 3, 2], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(
-u^2+2 < y,y < 0), z = -(1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911
/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [-497805/2097152, -\
497805/2097152], [-1166407/1048576, -583203/524288]]]], [[10, 15, 4, 3, 3], [v
= 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(-u^2+2 < y,y < 0), And(-(1-y)^(
1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[741455/524288, 1482911/1048576],
[3299097/2097152, 3299097/2097152], [-1, -1], [-497805/2097152, -497805/
2097152], [0, 0]]]], [[10, 15, 4, 3, 4], [v = 2^(1/2), And(v < u,u < 3^(1/2)),
x = -1, And(-u^2+2 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [-\
497805/2097152, -497805/2097152], [583203/524288, 1166407/1048576]]]], [[10, 
15, 4, 3, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, And(-u^2+2 < y,y <
0), (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [
3299097/2097152, 3299097/2097152], [-1, -1], [-497805/2097152, -497805/2097152
], [3, 3]]]], [[10, 16, 7, 7, 1], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1),
0 < y, z = z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/
524288, 1816187/1048576], [1/2, 1/2], [1, 1], [0, 0]]]], [[10, 19, 6, 5, 1], [
v = 2^(1/2), 2 < u, x = 0, And(0 < y,y < u^2-3), z = z], [regular_chain, [[
741455/524288, 1482911/1048576], [3, 3], [0, 0], [3, 3], [0, 0]]]], [[11, 1, 8
, 6, 1], [2^(1/2) < v, u < -(v^2+2)^(1/2), x = 1, y = 0, z = z], [
regular_chain, [[3, 3], [-5, -5], [1, 1], [0, 0], [0, 0]]]], [[11, 5, 11, 6, 1
], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1 < x, y = -x, z < 0], [
regular_chain, [[3, 3], [-403851/131072, -403851/131072], [2, 2], [-2, -2], [-\
1, -1]]]], [[11, 5, 11, 6, 2], [2^(1/2) < v, And(-(v^2+1)^(1/2) < u,u < -v), 1
< x, y = -x, z = 0], [regular_chain, [[3, 3], [-403851/131072, -403851/131072]
, [2, 2], [-2, -2], [0, 0]]]], [[11, 5, 11, 6, 3], [2^(1/2) < v, And(-(v^2+1)^
(1/2) < u,u < -v), 1 < x, y = -x, 0 < z], [regular_chain, [[3, 3], [-403851/
131072, -403851/131072], [2, 2], [-2, -2], [1, 1]]]], [[11, 7, 8, 3, 1], [2^(1
/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2
-1), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [0, 0], [-1, -1], [-2, -2]]]], [[11, 7, 8, 3, 2], [2^(1/2) < v, And(
-v < u,u < -(v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = -(-y
)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0
], [-1, -1], [-1, -1]]]], [[11, 7, 8, 3, 3], [2^(1/2) < v, And(-v < u,u < -(v^
2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), And(-(-y)^(1/2) < z,z <
(-y)^(1/2))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [
0, 0], [-1, -1], [0, 0]]]], [[11, 7, 8, 3, 4], [2^(1/2) < v, And(-v < u,u < -(
v^2-1)^(1/2)), x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), z = (-y)^(1/2)], [
regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [-1, -1]
, [1, 1]]]], [[11, 7, 8, 3, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)),
x = 0, And(u^2-v^2-1 < y,y < -u^2+v^2-1), (-y)^(1/2) < z], [regular_chain, [[3
, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [-1, -1], [2, 2]]]], [[11,
13, 4, 8, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2)), x = -1,
y = -u^2+v^2, z = z], [regular_chain, [[3, 3], [1435023/524288, 1435023/524288
], [-1, -1], [395403/262144, 1581613/1048576], [0, 0]]]], [[11, 14, 8, 5, 1],
[2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-1/2, -1/2]
, [0, 0]]]], [[11, 19, 6, 3, 1], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+
2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [-653799/524288, -653799/
524288], [-3, -3]]]], [[11, 19, 6, 3, 2], [2^(1/2) < v, And((v^2+1)^(1/2) < u,
u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [-653799/
524288, -653799/524288], [-1170947/1048576, -585473/524288]]]], [[11, 19, 6, 3
, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+
v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [[3, 3
], [3396811/1048576, 3396811/1048576], [0, 0], [-653799/524288, -653799/524288
], [0, 0]]]], [[11, 19, 6, 3, 4], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2
+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [regular_chain,
[[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [-653799/524288, -653799/
524288], [585473/524288, 1170947/1048576]]]], [[11, 19, 6, 3, 5], [2^(1/2) < v
, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, And(-u^2+v^2-1 < y,y < 0),
(-y)^(1/2) < z], [regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576],
[0, 0], [-653799/524288, -653799/524288], [3, 3]]]], [[11, 20, 8, 4, 1], [2^(1
/2) < v, u = (v^2+2)^(1/2), x = 1, y = -1, z < 0], [regular_chain, [[3, 3], [
3477733/1048576, 1738867/524288], [1, 1], [-1, -1], [-1, -1]]]], [[11, 20, 8,
4, 2], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y = -1, z = 0], [regular_chain,
[[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-1, -1], [0, 0]]]], [[11,
20, 8, 4, 3], [2^(1/2) < v, u = (v^2+2)^(1/2), x = 1, y = -1, 0 < z], [
regular_chain, [[3, 3], [3477733/1048576, 1738867/524288], [1, 1], [-1, -1], [
1, 1]]]], [[1, 5, 3, 5, 1], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(
-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z < -(-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [388037/1048576, 388037/1048576], [-2, -2]]]], [[1, 5, 3, 5
, 2], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1)
, And(0 < y,y < u^2-v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [
-403851/131072, -403851/131072], [-2614535/2097152, -2614535/2097152], [388037
/1048576, 388037/1048576], [-1963551/2097152, -7854203/8388608]]]], [[1, 5, 3,
5, 3], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2+v^2-1 < x,x < -1
), And(0 < y,y < u^2-v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [388037/1048576, 388037/1048576], [-3/16777216, -3/16777216
]]]], [[1, 5, 3, 5, 4], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And(-u^2
+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [388037/1048576, 388037/1048576], [981775/1048576, 61361/
65536]]]], [[1, 5, 3, 5, 5], [v < -2^(1/2), And(-(v^2+1)^(1/2) < u,u < v), And
(-u^2+v^2-1 < x,x < -1), And(0 < y,y < u^2-v^2-x-1), (-x-y)^(1/2) < z], [
regular_chain, [[-3, -3], [-403851/131072, -403851/131072], [-2614535/2097152,
-2614535/2097152], [388037/1048576, 388037/1048576], [2, 2]]]], [[1, 6, 7, 4,
1], [v < -2^(1/2), u = v, 1 < x, y = -x, z < 0], [regular_chain, [[-3, -3], [-\
3, -3], [2, 2], [-2, -2], [-1, -1]]]], [[1, 6, 7, 4, 2], [v < -2^(1/2), u = v,
1 < x, y = -x, z = 0], [regular_chain, [[-3, -3], [-3, -3], [2, 2], [-2, -2],
[0, 0]]]], [[1, 6, 7, 4, 3], [v < -2^(1/2), u = v, 1 < x, y = -x, 0 < z], [
regular_chain, [[-3, -3], [-3, -3], [2, 2], [-2, -2], [1, 1]]]], [[1, 11, 3, 2
, 1], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1
< x,x < -1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3,
-3], [0, 0], [-11/2, -11/2], [-9/2, -9/2], [-5, -5]]]], [[1, 11, 3, 2, 2], [v
< -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -\
1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-3, -3], [0,
0], [-11/2, -11/2], [-9/2, -9/2], [-3315889/1048576, -207243/65536]]]], [[1, 
11, 3, 2, 3], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2)^(1/2)), And(u^
2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^
2+1)^(1/2))], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-9/2, -9/2],
[0, 0]]]], [[1, 11, 3, 2, 4], [v < -2^(1/2), And(-(v^2-2)^(1/2) < u,u < (v^2-2
)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)],
[regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-9/2, -9/2], [207243/65536
, 3315889/1048576]]]], [[1, 11, 3, 2, 5], [v < -2^(1/2), And(-(v^2-2)^(1/2) <
u,u < (v^2-2)^(1/2)), And(u^2-v^2-1 < x,x < -1), y = u^2-v^2-x-1, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[-3, -3], [0, 0], [-11/2, -11/2], [-9/2, -9/2],
[5, 5]]]], [[1, 12, 5, 5, 1], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x <
0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271
/1048576, 10837/4096], [-1/2, -1/2], [1/4, 1/4], [-2, -2]]]], [[1, 12, 5, 5, 2
], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z =
-(-x-y)^(1/2)], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/
2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[1, 12, 5, 5, 3], [v < -2^(1/2), u = (
v^2-2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z <
(-x-y)^(1/2))], [regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/
2, -1/2], [1/4, 1/4], [0, 0]]]], [[1, 12, 5, 5, 4], [v < -2^(1/2), u = (v^2-2)
^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [2774271/1048576, 10837/4096], [-1/2, -1/2], [1/4, 1
/4], [1/2, 1/2]]]], [[1, 12, 5, 5, 5], [v < -2^(1/2), u = (v^2-2)^(1/2), And(-\
1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3],
[2774271/1048576, 10837/4096], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[1, 18, 6
, 3, 1], [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), z < -(-y)
^(1/2)], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [
-1, -1], [-2, -2]]]], [[1, 18, 6, 3, 2], [v < -2^(1/2), u = (v^2+1)^(1/2), x =
0, And(-2 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[-3, -3], [207243/
65536, 3315889/1048576], [0, 0], [-1, -1], [-1, -1]]]], [[1, 18, 6, 3, 3], [v
< -2^(1/2), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), And(-(-y)^(1/2) < z,z
< (-y)^(1/2))], [regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0
, 0], [-1, -1], [0, 0]]]], [[1, 18, 6, 3, 4], [v < -2^(1/2), u = (v^2+1)^(1/2)
, x = 0, And(-2 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[-3, -3], [
207243/65536, 3315889/1048576], [0, 0], [-1, -1], [1, 1]]]], [[1, 18, 6, 3, 5]
, [v < -2^(1/2), u = (v^2+1)^(1/2), x = 0, And(-2 < y,y < 0), (-y)^(1/2) < z],
[regular_chain, [[-3, -3], [207243/65536, 3315889/1048576], [0, 0], [-1, -1],
[2, 2]]]], [[1, 19, 11, 7, 1], [v < -2^(1/2), And((v^2+1)^(1/2) < u,u < (v^2+2
)^(1/2)), 1 < x, And(u^2-v^2-x-1 < y,y < 0), z = z], [regular_chain, [[-3, -3]
, [3396811/1048576, 3396811/1048576], [2, 2], [-3158215/4194304, -3158215/
4194304], [0, 0]]]], [[2, 3, 1, 3, 1], [v = -2^(1/2), And(-2 < u,u < -3^(1/2))
, x < -u^2+1, And(0 < y,y < -u^2-x+1), z < -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -\
4], [397921/524288, 397921/524288], [-3, -3]]]], [[2, 3, 1, 3, 2], [v = -2^(1/
2), And(-2 < u,u < -3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = -(-x-y)
^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/
2097152, -3913339/2097152], [-4, -4], [397921/524288, 397921/524288], [-\
7550943/4194304, -3775471/2097152]]]], [[2, 3, 1, 3, 3], [v = -2^(1/2), And(-2
< u,u < -3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), And(-(-x-y)^(1/2) < z,
z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-\
3913339/2097152, -3913339/2097152], [-4, -4], [397921/524288, 397921/524288],
[-1/4194304, -1/4194304]]]], [[2, 3, 1, 3, 4], [v = -2^(1/2), And(-2 < u,u < -
3^(1/2)), x < -u^2+1, And(0 < y,y < -u^2-x+1), z = (-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [-3913339/2097152, -\
3913339/2097152], [-4, -4], [397921/524288, 397921/524288], [1887735/1048576,
235967/131072]]]], [[2, 3, 1, 3, 5], [v = -2^(1/2), And(-2 < u,u < -3^(1/2)),
x < -u^2+1, And(0 < y,y < -u^2-x+1), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-3913339/2097152, -3913339/2097152], [-4, -\
4], [397921/524288, 397921/524288], [3, 3]]]], [[2, 4, 4, 5, 1], [v = -2^(1/2)
, u = -3^(1/2), x = -1, And(0 < y,y < 1), z < -(1-y)^(1/2)], [regular_chain, [
[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [-1,
-1], [1/2, 1/2], [-2, -2]]]], [[2, 4, 4, 5, 2], [v = -2^(1/2), u = -3^(1/2), x
= -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [-1816187/1048576, -3632373/2097152], [-1, -1], [1/2, 1/2], [
-1482911/2097152, -741455/1048576]]]], [[2, 4, 4, 5, 3], [v = -2^(1/2), u = -3
^(1/2), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1/2, 1/2], [0, 0]]]], [[2, 4, 4, 5, 4], [v = -2^(
1/2), u = -3^(1/2), x = -1, And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -3632373/2097152], [
-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]], [[2, 4, 4, 5, 5], [v =
-2^(1/2), u = -3^(1/2), x = -1, And(0 < y,y < 1), (1-y)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [-1816187/1048576, -\
3632373/2097152], [-1, -1], [1/2, 1/2], [2, 2]]]], [[2, 7, 7, 4, 1], [v = -2^(
1/2), And(v < u,u < -1), And(-u^2+1 < x,x < 0), y = -u^2-x+1, z < -(u^2-1)^(1/
2)], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576, -\
1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072, -239655/
1048576], [-2, -2]]]], [[2, 7, 7, 4, 2], [v = -2^(1/2), And(v < u,u < -1), And
(-u^2+1 < x,x < 0), y = -u^2-x+1, z = -(u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-29957/131072, -239655/1048576], [-1417877/
2097152, -354469/524288]]]], [[2, 7, 7, 4, 3], [v = -2^(1/2), And(v < u,u < -1
), And(-u^2+1 < x,x < 0), y = -u^2-x+1, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/
2))], [regular_chain, [[-1482911/1048576, -741455/524288], [-1265743/1048576,
-1265743/1048576], [-239655/1048576, -239655/1048576], [-29957/131072, -239655
/1048576], [0, 0]]]], [[2, 7, 7, 4, 4], [v = -2^(1/2), And(v < u,u < -1), And(
-u^2+1 < x,x < 0), y = -u^2-x+1, z = (u^2-1)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-29957/131072, -239655/1048576], [354469/
524288, 708939/1048576]]]], [[2, 7, 7, 4, 5], [v = -2^(1/2), And(v < u,u < -1)
, And(-u^2+1 < x,x < 0), y = -u^2-x+1, (u^2-1)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [-1265743/1048576, -1265743/1048576], [-\
239655/1048576, -239655/1048576], [-29957/131072, -239655/1048576], [2, 2]]]],
[[2, 9, 2, 7, 1], [v = -2^(1/2), And(-1 < u,u < 0), x = u^2-3, -2*u^2+4 < y, z
= z], [regular_chain, [[-1482911/1048576, -741455/524288], [-1/2, -1/2], [-11/
4, -11/4], [5, 5], [0, 0]]]], [[2, 13, 5, 3, 1], [v = -2^(1/2), And(1 < u,u <
-v), And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), z < -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-3415591/8388608, -3415591/
8388608], [-3, -3]]]], [[2, 13, 5, 3, 2], [v = -2^(1/2), And(1 < u,u < -v), 
And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1265743/1048576, 1265743/
1048576], [-1527887/2097152, -1527887/2097152], [-3415591/8388608, -3415591/
8388608], [-1117471/1048576, -558735/524288]]]], [[2, 13, 5, 3, 3], [v = -2^(1
/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(u^2-x-3 < y,y < 0), And(-(
-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -\
1527887/2097152], [-3415591/8388608, -3415591/8388608], [0, 0]]]], [[2, 13, 5,
3, 4], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x < -u^2+1), And(u^2-x-3 <
y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1265743/1048576, 1265743/1048576], [-1527887/2097152, -1527887/
2097152], [-3415591/8388608, -3415591/8388608], [558735/524288, 1117471/
1048576]]]], [[2, 13, 5, 3, 5], [v = -2^(1/2), And(1 < u,u < -v), And(-1 < x,x
< -u^2+1), And(u^2-x-3 < y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [1265743/1048576, 1265743/1048576], [-\
1527887/2097152, -1527887/2097152], [-3415591/8388608, -3415591/8388608], [3,
3]]]], [[2, 15, 2, 4, 1], [v = -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1,
y = 2*u^2-4, z < -(-u^2+3)^(1/2)], [regular_chain, [[-1482911/1048576, -741455
/524288], [3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/
1048576], [995611/1048576, 248903/262144], [-2, -2]]]], [[2, 15, 2, 4, 2], [v
= -2^(1/2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y = 2*u^2-4, z = -(-u^2+3)^(1
/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [3299097/2097152, 
3299097/2097152], [-773191/524288, -1546381/1048576], [995611/1048576, 248903/
262144], [-1519901/2097152, -379975/524288]]]], [[2, 15, 2, 4, 3], [v = -2^(1/
2), And(-v < u,u < 3^(1/2)), x = -u^2+1, y = 2*u^2-4, And(-(-u^2+3)^(1/2) < z,
z < (-u^2+3)^(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [
3299097/2097152, 3299097/2097152], [-773191/524288, -1546381/1048576], [995611
/1048576, 248903/262144], [0, 0]]]], [[2, 15, 2, 4, 4], [v = -2^(1/2), And(-v
< u,u < 3^(1/2)), x = -u^2+1, y = 2*u^2-4, z = (-u^2+3)^(1/2)], [regular_chain
, [[-1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-\
773191/524288, -1546381/1048576], [995611/1048576, 248903/262144], [379975/
524288, 759951/1048576]]]], [[2, 15, 2, 4, 5], [v = -2^(1/2), And(-v < u,u < 3
^(1/2)), x = -u^2+1, y = 2*u^2-4, (-u^2+3)^(1/2) < z], [regular_chain, [[-\
1482911/1048576, -741455/524288], [3299097/2097152, 3299097/2097152], [-773191
/524288, -1546381/1048576], [995611/1048576, 248903/262144], [2, 2]]]], [[3, 1
, 7, 5, 1], [And(-2^(1/2) < v,v < -1), u < -(v^2+2)^(1/2), And(0 < x,x < 1), 
And(-x < y,y < 0), z = z], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-3, -3], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[3, 3, 1, 1, 1], [
And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2
+v^2-1, y < 0, z < -(-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-14373233/8388608, -14373233/8388608], [-4, -4], [-1, -1],
[-4, -4]]]], [[3, 3, 1, 1, 2], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) <
u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, z = -(-x-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-1, -1], [-146543/65536, -2344687/1048576]]]], [
[3, 3, 1, 1, 3], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1
)^(1/2)), x < -u^2+v^2-1, y < 0, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-1, -1], [0, 0]]]], [[3, 3, 1, 1, 4], [And(-2^(1
/2) < v,v < -1), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y
< 0, z = (-x-y)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576],
[-14373233/8388608, -14373233/8388608], [-4, -4], [-1, -1], [2344687/1048576,
146543/65536]]]], [[3, 3, 1, 1, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+2)^(1
/2) < u,u < -(v^2+1)^(1/2)), x < -u^2+v^2-1, y < 0, (-x-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-14373233/8388608, -\
14373233/8388608], [-4, -4], [-1, -1], [4, 4]]]], [[3, 7, 7, 2, 1], [And(-2^(1
/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y =
u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -\
225185/1048576], [-1421597/1048576, -355399/262144], [-3, -3]]]], [[3, 7, 7, 2
, 2], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1
< x,x < 0), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-1421597/1048576, -355399/262144], [-\
1314069/1048576, -328517/262144]]]], [[3, 7, 7, 2, 3], [And(-2^(1/2) < v,v < -\
1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1,
And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
225185/1048576, -225185/1048576], [-1421597/1048576, -355399/262144], [0, 0]]]
], [[3, 7, 7, 2, 4], [And(-2^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)),
And(-u^2+v^2-1 < x,x < 0), y = u^2-v^2-x-1, z = (-u^2+v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-225185/1048576, -225185/1048576], [-1421597/1048576, -\
355399/262144], [328517/262144, 1314069/1048576]]]], [[3, 7, 7, 2, 5], [And(-2
^(1/2) < v,v < -1), And(v < u,u < -(v^2-1)^(1/2)), And(-u^2+v^2-1 < x,x < 0),
y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[-1265743/1048576,
-1265743/1048576], [-3949363/4194304, -3949363/4194304], [-225185/1048576, -\
225185/1048576], [-1421597/1048576, -355399/262144], [3, 3]]]], [[3, 9, 2, 5,
1], [And(-2^(1/2) < v,v < -1), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2)), x =
u^2-v^2-1, And(-u^2+v^2+1 < y,y < -2*u^2+2*v^2), z = z], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [0, 0], [-2576463/1048576, -1288231/524288
], [1408059/524288, 1408059/524288], [0, 0]]]], [[3, 17, 11, 2, 1], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, z < -(u^2
-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[8, 8], [-8673241/524288, -17346481/1048576], [-4, -4]]]], [[3, 17, 11, 2, 2],
[And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1,
z = -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [3, 3], [8, 8], [-8673241/524288, -17346481/1048576], [-1532401/524288, -\
24518415/8388608]]]], [[3, 17, 11, 2, 3], [And(-2^(1/2) < v,v < -1), (v^2+2)^(
1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2
-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3]
, [8, 8], [-8673241/524288, -17346481/1048576], [-7/16777216, -7/16777216]]]],
[[3, 17, 11, 2, 4], [And(-2^(1/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 <
x, y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [3, 3], [8, 8], [-8673241/524288, -17346481/
1048576], [3064801/1048576, 1532401/524288]]]], [[3, 17, 11, 2, 5], [And(-2^(1
/2) < v,v < -1), (v^2+2)^(1/2) < u, u^2-v^2-1 < x, y = -u^2+v^2-x-1, (u^2-v^2+
1)^(1/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [3, 3],
[8, 8], [-8673241/524288, -17346481/1048576], [4, 4]]]], [[4, 2, 2, 5, 1], [v
= -1, u = -3^(1/2), x = -3, And(3 < y,y < 4), z = z], [regular_chain, [[-1, -1
], [-1816187/1048576, -3632373/2097152], [-3, -3], [7/2, 7/2], [0, 0]]]], [[4,
6, 6, 6, 1], [v = -1, u = -1, x = 1, y = 0, z = z], [regular_chain, [[-1, -1],
[-1, -1], [1, 1], [0, 0], [0, 0]]]], [[4, 8, 3, 1, 1], [v = -1, u = 0, And(-2
< x,x < -1), y < -x-2, z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0],
[-3/2, -3/2], [-2, -2], [-3, -3]]]], [[4, 8, 3, 1, 2], [v = -1, u = 0, And(-2
< x,x < -1), y < -x-2, z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [0, 0],
[-3/2, -3/2], [-2, -2], [-7846825/4194304, -980853/524288]]]], [[4, 8, 3, 1, 3
], [v = -1, u = 0, And(-2 < x,x < -1), y < -x-2, And(-(-x-y)^(1/2) < z,z < (-x
-y)^(1/2))], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-2, -2], [0, 0]
]]], [[4, 8, 3, 1, 4], [v = -1, u = 0, And(-2 < x,x < -1), y < -x-2, z = (-x-y
)^(1/2)], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3/2], [-2, -2], [980853/
524288, 1961707/1048576]]]], [[4, 8, 3, 1, 5], [v = -1, u = 0, And(-2 < x,x <
-1), y < -x-2, (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [0, 0], [-3/2, -3
/2], [-2, -2], [3, 3]]]], [[4, 14, 3, 8, 1], [v = -1, u = 3^(1/2), And(-3 < x,
x < -1), y = 1-x, z = z], [regular_chain, [[-1, -1], [908093/524288, 1816187/
1048576], [-2, -2], [3, 3], [0, 0]]]], [[4, 15, 8, 4, 1], [v = -1, 3^(1/2) < u
, x = 1, y = -1, z < 0], [regular_chain, [[-1, -1], [3, 3], [1, 1], [-1, -1],
[-1, -1]]]], [[4, 15, 8, 4, 2], [v = -1, 3^(1/2) < u, x = 1, y = -1, z = 0], [
regular_chain, [[-1, -1], [3, 3], [1, 1], [-1, -1], [0, 0]]]], [[4, 15, 8, 4,
3], [v = -1, 3^(1/2) < u, x = 1, y = -1, 0 < z], [regular_chain, [[-1, -1], [3
, 3], [1, 1], [-1, -1], [1, 1]]]], [[5, 4, 8, 7, 1], [And(-1 < v,v < 0), u = -
(v^2+1)^(1/2), x = 1, 0 < y, z = z], [regular_chain, [[-1/2, -1/2], [-146543/
131072, -1172343/1048576], [1, 1], [1, 1], [0, 0]]]], [[5, 6, 3, 2, 1], [And(-\
1 < v,v < 0), u = v, And(-1 < x,x < 0), y = -1-x, z < -1], [regular_chain, [[-\
1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [-2, -2]]]], [[5, 6, 3,
2, 2], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = -1-x, z = -1], [
regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/2], [-1, -\
1]]]], [[5, 6, 3, 2, 3], [And(-1 < v,v < 0), u = v, And(-1 < x,x < 0), y = -1-
x, And(-1 < z,z < 1)], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2], [-1/2, -1/
2], [-1/2, -1/2], [0, 0]]]], [[5, 6, 3, 2, 4], [And(-1 < v,v < 0), u = v, And(
-1 < x,x < 0), y = -1-x, z = 1], [regular_chain, [[-1/2, -1/2], [-1/2, -1/2],
[-1/2, -1/2], [-1/2, -1/2], [1, 1]]]], [[5, 6, 3, 2, 5], [And(-1 < v,v < 0), u
= v, And(-1 < x,x < 0), y = -1-x, 1 < z], [regular_chain, [[-1/2, -1/2], [-1/2
, -1/2], [-1/2, -1/2], [-1/2, -1/2], [2, 2]]]], [[5, 9, 7, 6, 1], [And(-1 < v,
v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, z < -(
-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152],
[-1248837/4194304, -1248837/4194304], [0, 0], [-2, -2]]]], [[5, 9, 7, 6, 2], [
And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y
= 0, z = -(-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 
1696631/2097152], [-1248837/4194304, -1248837/4194304], [0, 0], [-1144335/
2097152, -572167/1048576]]]], [[5, 9, 7, 6, 3], [And(-1 < v,v < 0), And(-v < u
,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, And(-(-x)^(1/2) < z,z <
(-x)^(1/2))], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631/2097152
], [-1248837/4194304, -1248837/4194304], [0, 0], [0, 0]]]], [[5, 9, 7, 6, 4],
[And(-1 < v,v < 0), And(-v < u,u < (v^2+1)^(1/2)), And(u^2-v^2-1 < x,x < 0), y
= 0, z = (-x)^(1/2)], [regular_chain, [[-1/2, -1/2], [1696631/2097152, 1696631
/2097152], [-1248837/4194304, -1248837/4194304], [0, 0], [572167/1048576, 
71521/131072]]]], [[5, 9, 7, 6, 5], [And(-1 < v,v < 0), And(-v < u,u < (v^2+1)
^(1/2)), And(u^2-v^2-1 < x,x < 0), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
1/2, -1/2], [1696631/2097152, 1696631/2097152], [-1248837/4194304, -1248837/
4194304], [0, 0], [2, 2]]]], [[5, 11, 3, 2, 1], [And(-1 < v,v < 0), And((v^2+1
)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1,
z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151
/262144], [-1815885/1048576, -1815885/1048576], [-1534619/2097152, -767309/
1048576], [-3, -3]]]], [[5, 11, 3, 2, 2], [And(-1 < v,v < 0), And((v^2+1)^(1/2
) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = -(
u^2-v^2+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [-1534619/2097152, -767309/
1048576], [-3291611/2097152, -1645805/1048576]]]], [[5, 11, 3, 2, 3], [And(-1
< v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -\
1), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2))], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [0, 0]]]], [[
5, 11, 3, 2, 4], [And(-1 < v,v < 0), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)),
And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1/2, -1/2], [343151/262144, 343151/262144], [-1815885/
1048576, -1815885/1048576], [-1534619/2097152, -767309/1048576], [1645805/
1048576, 822903/524288]]]], [[5, 11, 3, 2, 5], [And(-1 < v,v < 0), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), And(-u^2+v^2-1 < x,x < -1), y = -u^2+v^2-x-1, (
u^2-v^2+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [343151/262144, 343151/
262144], [-1815885/1048576, -1815885/1048576], [-1534619/2097152, -767309/
1048576], [3, 3]]]], [[6, 2, 1, 7, 1], [v = 0, u = -2^(1/2), x < -3, And(-x <
y,y < 1-x), z = z], [regular_chain, [[0, 0], [-1482911/1048576, -741455/524288
], [-4, -4], [9/2, 9/2], [0, 0]]]], [[6, 3, 6, 3, 1], [v = 0, And(-2^(1/2) < u
,u < -1), x = 0, And(-u^2-1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[0,
0], [-1265743/1048576, -1265743/1048576], [0, 0], [-1288231/1048576, -1288231/
1048576], [-3, -3]]]], [[6, 3, 6, 3, 2], [v = 0, And(-2^(1/2) < u,u < -1), x =
0, And(-u^2-1 < y,y < 0), z = -(-y)^(1/2)], [regular_chain, [[0, 0], [-1265743
/1048576, -1265743/1048576], [0, 0], [-1288231/1048576, -1288231/1048576], [-\
1162243/1048576, -581121/524288]]]], [[6, 3, 6, 3, 3], [v = 0, And(-2^(1/2) <
u,u < -1), x = 0, And(-u^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))],
[regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
1288231/1048576, -1288231/1048576], [0, 0]]]], [[6, 3, 6, 3, 4], [v = 0, And(-
2^(1/2) < u,u < -1), x = 0, And(-u^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576], [0, 0], [-\
1288231/1048576, -1288231/1048576], [581121/524288, 1162243/1048576]]]], [[6,
3, 6, 3, 5], [v = 0, And(-2^(1/2) < u,u < -1), x = 0, And(-u^2-1 < y,y < 0), (
-y)^(1/2) < z], [regular_chain, [[0, 0], [-1265743/1048576, -1265743/1048576],
[0, 0], [-1288231/1048576, -1288231/1048576], [3, 3]]]], [[6, 9, 7, 7, 1], [v
= 0, And(1 < u,u < 2^(1/2)), And(0 < x,x < u^2-1), And(0 < y,y < u^2-x-1), z =
z], [regular_chain, [[0, 0], [1265743/1048576, 1265743/1048576], [239655/
1048576, 239655/1048576], [239655/2097152, 239655/2097152], [0, 0]]]], [[6, 11
, 1, 3, 1], [v = 0, 2^(1/2) < u, x < -u^2-1, And(0 < y,y < -u^2-x-1), z < -(-x
-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1/2, 1/2], [-5, -5]]
]], [[6, 11, 1, 3, 2], [v = 0, 2^(1/2) < u, x < -u^2-1, And(0 < y,y < -u^2-x-1
), z = -(-x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1/2, 1/2]
, [-3397775/1048576, -1698887/524288]]]], [[6, 11, 1, 3, 3], [v = 0, 2^(1/2) <
u, x < -u^2-1, And(0 < y,y < -u^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2)
)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1/2, 1/2], [0, 0]]]], [[6, 
11, 1, 3, 4], [v = 0, 2^(1/2) < u, x < -u^2-1, And(0 < y,y < -u^2-x-1), z = (-
x-y)^(1/2)], [regular_chain, [[0, 0], [3, 3], [-11, -11], [1/2, 1/2], [1698887
/524288, 3397775/1048576]]]], [[6, 11, 1, 3, 5], [v = 0, 2^(1/2) < u, x < -u^2
-1, And(0 < y,y < -u^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[0, 0], [3, 3
], [-11, -11], [1/2, 1/2], [5, 5]]]], [[7, 3, 11, 1, 1], [And(0 < v,v < 1), 
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z < -(-x-
y)^(1/2)], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2,
2], [-6, -6], [-3, -3]]]], [[7, 3, 11, 1, 2], [And(0 < v,v < 1), And(-(v^2+2)^
(1/2) < u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-6, -6]
, [-2, -2]]]], [[7, 3, 11, 1, 3], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(
1/2))], [regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2],
[-6, -6], [0, 0]]]], [[7, 3, 11, 1, 4], [And(0 < v,v < 1), And(-(v^2+2)^(1/2)
< u,u < -(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [
regular_chain, [[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-6, -6]
, [2, 2]]]], [[7, 3, 11, 1, 5], [And(0 < v,v < 1), And(-(v^2+2)^(1/2) < u,u <
-(v^2+1)^(1/2)), 1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [
[1/2, 1/2], [-343151/262144, -343151/262144], [2, 2], [-6, -6], [3, 3]]]], [[7
, 5, 6, 4, 1], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-\
1, y = 0, z < -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0], [-2,
-2]]]], [[7, 5, 6, 4, 2], [And(0 < v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x
= u^2-v^2-1, y = 0, z = -(-u^2+v^2+1)^(1/2)], [regular_chain, [[1/2, 1/2], [-\
1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0
], [-1618333/2097152, -3236665/4194304]]]], [[7, 5, 6, 4, 3], [And(0 < v,v < 1
), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, And(-(-u^2+v^2+1)^(1/
2) < z,z < (-u^2+v^2+1)^(1/2))], [regular_chain, [[1/2, 1/2], [-1696631/
2097152, -1696631/2097152], [-624419/1048576, -1248837/2097152], [0, 0], [-1/
8388608, -1/8388608]]]], [[7, 5, 6, 4, 4], [And(0 < v,v < 1), And(-(v^2+1)^(1/
2) < u,u < -v), x = u^2-v^2-1, y = 0, z = (-u^2+v^2+1)^(1/2)], [regular_chain,
[[1/2, 1/2], [-1696631/2097152, -1696631/2097152], [-624419/1048576, -1248837/
2097152], [0, 0], [404583/524288, 809167/1048576]]]], [[7, 5, 6, 4, 5], [And(0
< v,v < 1), And(-(v^2+1)^(1/2) < u,u < -v), x = u^2-v^2-1, y = 0, (-u^2+v^2+1)
^(1/2) < z], [regular_chain, [[1/2, 1/2], [-1696631/2097152, -1696631/2097152]
, [-624419/1048576, -1248837/2097152], [0, 0], [2, 2]]]], [[8, 1, 5, 8, 1], [v
= 1, u < -3^(1/2), And(-1 < x,x < 0), y = u^2-x-2, z = z], [regular_chain, [[1
, 1], [-3, -3], [-1/2, -1/2], [15/2, 15/2], [0, 0]]]], [[8, 2, 7, 9, 1], [v =
1, u = -3^(1/2), And(0 < x,x < 1), 1-x < y, z = z], [regular_chain, [[1, 1], [
-1816187/1048576, -3632373/2097152], [1/2, 1/2], [2, 2], [0, 0]]]], [[8, 7, 5,
5, 1], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x),
z < -(-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3/16
, 3/16], [-2, -2]]]], [[8, 7, 5, 5, 2], [v = 1, And(-1 < u,u < 0), And(-1 < x,
x < -u^2), And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[1, 1],
[-1/2, -1/2], [-5/8, -5/8], [3/16, 3/16], [-10837/16384, -1387135/2097152]]]],
[[8, 7, 5, 5, 3], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y
< -u^2-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1, 1],
[-1/2, -1/2], [-5/8, -5/8], [3/16, 3/16], [-1/4194304, -1/4194304]]]], [[8, 7,
5, 5, 4], [v = 1, And(-1 < u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-
x), z = (-x-y)^(1/2)], [regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3
/16, 3/16], [693567/1048576, 10837/16384]]]], [[8, 7, 5, 5, 5], [v = 1, And(-1
< u,u < 0), And(-1 < x,x < -u^2), And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [
regular_chain, [[1, 1], [-1/2, -1/2], [-5/8, -5/8], [3/16, 3/16], [2, 2]]]], [
[8, 8, 9, 4, 1], [v = 1, u = 0, 1 < x, y = -x, z < 0], [regular_chain, [[1, 1]
, [0, 0], [2, 2], [-2, -2], [-1, -1]]]], [[8, 8, 9, 4, 2], [v = 1, u = 0, 1 <
x, y = -x, z = 0], [regular_chain, [[1, 1], [0, 0], [2, 2], [-2, -2], [0, 0]]]
], [[8, 8, 9, 4, 3], [v = 1, u = 0, 1 < x, y = -x, 0 < z], [regular_chain, [[1
, 1], [0, 0], [2, 2], [-2, -2], [1, 1]]]], [[8, 14, 9, 7, 1], [v = 1, u = 3^(1
/2), 1 < x, And(1-x < y,y < 0), z = z], [regular_chain, [[1, 1], [908093/
524288, 1816187/1048576], [2, 2], [-1/2, -1/2], [0, 0]]]], [[9, 1, 2, 6, 1], [
And(1 < v,v < 2^(1/2)), u < -(v^2+2)^(1/2), x = -u^2+v^2-1, y = 2*u^2-2*v^2, z
= z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-3, -3], [-4478937
/524288, -8957873/1048576], [7909297/524288, 15818595/1048576], [0, 0]]]], [[9
, 5, 5, 6, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1
< x,x < u^2-v^2-1), y = u^2-v^2-x-1, z < -(-u^2+v^2+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-\
3213831/4194304, -3213831/4194304], [122559/524288, 245119/1048576], [-2, -2]]
]], [[9, 5, 5, 6, 2], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v),
And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = -(-u^2+v^2+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [122559/524288, 245119
/1048576], [-1530309/2097152, -382577/524288]]]], [[9, 5, 5, 6, 3], [And(1 < v
,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y =
u^2-v^2-x-1, And(-(-u^2+v^2+1)^(1/2) < z,z < (-u^2+v^2+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [-3213831/4194304, -3213831/4194304], [122559/524288, 245119
/1048576], [0, 0]]]], [[9, 5, 5, 6, 4], [And(1 < v,v < 2^(1/2)), And(-(v^2+1)^
(1/2) < u,u < -v), And(-1 < x,x < u^2-v^2-1), y = u^2-v^2-x-1, z = (-u^2+v^2+1
)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-5818805/
4194304, -5818805/4194304], [-3213831/4194304, -3213831/4194304], [122559/
524288, 245119/1048576], [382577/524288, 765155/1048576]]]], [[9, 5, 5, 6, 5],
[And(1 < v,v < 2^(1/2)), And(-(v^2+1)^(1/2) < u,u < -v), And(-1 < x,x < u^2-v^
2-1), y = u^2-v^2-x-1, (-u^2+v^2+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-5818805/4194304, -5818805/4194304], [-3213831/
4194304, -3213831/4194304], [122559/524288, 245119/1048576], [2, 2]]]], [[9, 7
, 2, 3, 1], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v
^2-1, And(0 < y,y < -2*u^2+2*v^2), z < -(-u^2+v^2-y+1)^(1/2)], [regular_chain,
[[1265743/1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-\
3293563/2097152, -1646781/1048576], [598205/1048576, 598205/1048576], [-3, -3]
]]], [[9, 7, 2, 3, 2], [And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2))
, x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = -(-u^2+v^2-y+1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/1048576, 
598205/1048576], [-1048577/1048576, -1]]]], [[9, 7, 2, 3, 3], [And(1 < v,v < 2
^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2
*v^2), And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1/2))], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3949363/4194304, -\
3949363/4194304], [-3293563/2097152, -1646781/1048576], [598205/1048576, 
598205/1048576], [0, 0]]]], [[9, 7, 2, 3, 4], [And(1 < v,v < 2^(1/2)), And(-v
< u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 < y,y < -2*u^2+2*v^2), z = (-u^2
+v^2-y+1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3949363/4194304, -3949363/4194304], [-3293563/2097152, -1646781/1048576], [
598205/1048576, 598205/1048576], [1, 1048577/1048576]]]], [[9, 7, 2, 3, 5], [
And(1 < v,v < 2^(1/2)), And(-v < u,u < -(v^2-1)^(1/2)), x = u^2-v^2-1, And(0 <
y,y < -2*u^2+2*v^2), (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3949363/4194304, -3949363/4194304], [-3293563/
2097152, -1646781/1048576], [598205/1048576, 598205/1048576], [3, 3]]]], [[9,
9, 11, 7, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2-1)^(1/2) < u,u < (v^2-1)^(1/2
)), 1 < x, And(-u^2+v^2-x-1 < y,y < 0), z = z], [regular_chain, [[1265743/
1048576, 1265743/1048576], [0, 0], [2, 2], [-1617841/2097152, -1617841/2097152
], [0, 0]]]], [[9, 11, 6, 6, 1], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) <
u,u < v), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain, [[1265743/
1048576, 1265743/1048576], [987341/1048576, 987341/1048576], [-112593/262144,
-450371/1048576], [450371/1048576, 112593/262144], [-1, -1]]]], [[9, 11, 6, 6,
2], [And(1 < v,v < 2^(1/2)), And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y =
u^2-v^2+1, z = 0], [regular_chain, [[1265743/1048576, 1265743/1048576], [
987341/1048576, 987341/1048576], [-112593/262144, -450371/1048576], [450371/
1048576, 112593/262144], [0, 0]]]], [[9, 11, 6, 6, 3], [And(1 < v,v < 2^(1/2))
, And((v^2-1)^(1/2) < u,u < v), x = -u^2+v^2-1, y = u^2-v^2+1, 0 < z], [
regular_chain, [[1265743/1048576, 1265743/1048576], [987341/1048576, 987341/
1048576], [-112593/262144, -450371/1048576], [450371/1048576, 112593/262144],
[1, 1]]]], [[9, 16, 2, 2, 1], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x =
-3, y = 0, z < -3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576],
[121853/65536, 1949649/1048576], [-3, -3], [0, 0], [-3, -3]]]], [[9, 16, 2, 2,
2], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y = 0, z = -3^(1/2)],
[regular_chain, [[1265743/1048576, 1265743/1048576], [121853/65536, 1949649/
1048576], [-3, -3], [0, 0], [-1816187/1048576, -3632373/2097152]]]], [[9, 16,
2, 2, 3], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y = 0, And(-3^(1
/2) < z,z < 3^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [
121853/65536, 1949649/1048576], [-3, -3], [0, 0], [-1/4194304, -1/4194304]]]],
[[9, 16, 2, 2, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y = 0,
z = 3^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-3, -3], [0, 0], [908093/524288, 1816187/1048576]]]]
, [[9, 16, 2, 2, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+2)^(1/2), x = -3, y = 0
, 3^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [121853/
65536, 1949649/1048576], [-3, -3], [0, 0], [3, 3]]]], [[9, 17, 6, 3, 1], [And(
1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z < -
(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0,
0], [-8957873/2097152, -8957873/2097152], [-4, -4]]]], [[9, 17, 6, 3, 2], [And
(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z =
-(-y)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0,
0], [-8957873/2097152, -8957873/2097152], [-2167143/1048576, -1083571/524288]]
]], [[9, 17, 6, 3, 3], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, And(
-u^2+v^2-1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [
[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [-8957873/2097152, -\
8957873/2097152], [0, 0]]]], [[9, 17, 6, 3, 4], [And(1 < v,v < 2^(1/2)), (v^2+
2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [3, 3], [0, 0], [-8957873/
2097152, -8957873/2097152], [1083571/524288, 2167143/1048576]]]], [[9, 17, 6,
3, 5], [And(1 < v,v < 2^(1/2)), (v^2+2)^(1/2) < u, x = 0, And(-u^2+v^2-1 < y,y
< 0), (-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [3
, 3], [0, 0], [-8957873/2097152, -8957873/2097152], [4, 4]]]], [[10, 5, 11, 8,
1], [v = 2^(1/2), And(-3^(1/2) < u,u < -v), 1 < x, y = 0, z = z], [
regular_chain, [[741455/524288, 1482911/1048576], [-6598195/4194304, -6598195/
4194304], [2, 2], [0, 0], [0, 0]]]], [[10, 7, 8, 5, 1], [v = 2^(1/2), And(-v <
u,u < -1), x = 0, And(-u^2+1 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [0, 0],
[-239655/1048576, -239655/1048576], [-2, -2]]]], [[10, 7, 8, 5, 2], [v = 2^(1/
2), And(-v < u,u < -1), x = 0, And(-u^2+1 < y,y < 0), z = -(-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [0, 0], [-239655/1048576, -239655/1048576], [-501295/1048576, -\
250647/524288]]]], [[10, 7, 8, 5, 3], [v = 2^(1/2), And(-v < u,u < -1), x = 0,
And(-u^2+1 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [regular_chain, [
[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/1048576], [0, 0]
, [-239655/1048576, -239655/1048576], [0, 0]]]], [[10, 7, 8, 5, 4], [v = 2^(1/
2), And(-v < u,u < -1), x = 0, And(-u^2+1 < y,y < 0), z = (-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-1265743/1048576, -1265743/
1048576], [0, 0], [-239655/1048576, -239655/1048576], [250647/524288, 501295/
1048576]]]], [[10, 7, 8, 5, 5], [v = 2^(1/2), And(-v < u,u < -1), x = 0, And(-
u^2+1 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/
1048576], [-1265743/1048576, -1265743/1048576], [0, 0], [-239655/1048576, -\
239655/1048576], [2, 2]]]], [[10, 11, 11, 5, 1], [v = 2^(1/2), And(0 < u,u < 1
), 1 < x, And(-x < y,y < -u^2-x+1), z = z], [regular_chain, [[741455/524288, 
1482911/1048576], [1/2, 1/2], [2, 2], [-13/8, -13/8], [0, 0]]]], [[10, 13, 6,
4, 1], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y = 0, z < -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [0, 0], [-2, -2]]]], [[10, 13, 6,
4, 2], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y = 0, z = -(u^2-1)^(1/2)],
[regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 1265743/
1048576], [-479311/1048576, -239655/524288], [0, 0], [-1417877/2097152, -\
354469/524288]]]], [[10, 13, 6, 4, 3], [v = 2^(1/2), And(1 < u,u < v), x = -u^
2+1, y = 0, And(-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/
1048576, -239655/524288], [0, 0], [0, 0]]]], [[10, 13, 6, 4, 4], [v = 2^(1/2),
And(1 < u,u < v), x = -u^2+1, y = 0, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [1265743/1048576, 1265743/1048576], [-479311/
1048576, -239655/524288], [0, 0], [354469/524288, 708939/1048576]]]], [[10, 13
, 6, 4, 5], [v = 2^(1/2), And(1 < u,u < v), x = -u^2+1, y = 0, (u^2-1)^(1/2) <
z], [regular_chain, [[741455/524288, 1482911/1048576], [1265743/1048576, 
1265743/1048576], [-479311/1048576, -239655/524288], [0, 0], [2, 2]]]], [[11,
3, 2, 5, 1], [2^(1/2) < v, And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -u^
2+v^2-1, And(u^2-v^2+1 < y,y < 2*u^2-2*v^2), z = z], [regular_chain, [[3, 3],
[-3396811/1048576, -3396811/1048576], [-2615197/1048576, -653799/262144], [
5748437/2097152, 5748437/2097152], [0, 0]]]], [[11, 4, 5, 5, 1], [2^(1/2) < v,
u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)],
[regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -1/2], [1/4
, 1/4], [-2, -2]]]], [[11, 4, 5, 5, 2], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(
-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3],
[-3315889/1048576, -207243/65536], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]],
[[11, 4, 5, 5, 3], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0
< y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[3, 3]
, [-3315889/1048576, -207243/65536], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[11
, 4, 5, 5, 4], [2^(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < -x), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [-3315889/1048576, -\
207243/65536], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[11, 4, 5, 5, 5], [2^
(1/2) < v, u = -(v^2+1)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1
/2) < z], [regular_chain, [[3, 3], [-3315889/1048576, -207243/65536], [-1/2, -\
1/2], [1/4, 1/4], [2, 2]]]], [[11, 9, 4, 4, 1], [2^(1/2) < v, And(-(v^2-1)^(1/
2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[3, 3], [
-22960369/8388608, -22960369/8388608], [-1, -1], [0, 0], [-2, -2]]]], [[11, 9,
4, 4, 2], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y
= 0, z = -1], [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608],
[-1, -1], [0, 0], [-1, -1]]]], [[11, 9, 4, 4, 3], [2^(1/2) < v, And(-(v^2-1)^(
1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 0, And(-1 < z,z < 1)], [
regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [0,
0], [0, 0]]]], [[11, 9, 4, 4, 4], [2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v
^2-2)^(1/2)), x = -1, y = 0, z = 1], [regular_chain, [[3, 3], [-22960369/
8388608, -22960369/8388608], [-1, -1], [0, 0], [1, 1]]]], [[11, 9, 4, 4, 5], [
2^(1/2) < v, And(-(v^2-1)^(1/2) < u,u < -(v^2-2)^(1/2)), x = -1, y = 0, 1 < z]
, [regular_chain, [[3, 3], [-22960369/8388608, -22960369/8388608], [-1, -1], [
0, 0], [2, 2]]]], [[11, 10, 6, 3, 1], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0,
And(-3 < y,y < 0), z < -(-y)^(1/2)], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [0, 0], [-3/2, -3/2], [-3, -3]]]], [[11, 10, 6, 3,
2], [2^(1/2) < v, u = -(v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), z = -(-y)^(1/2
)], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0, 0], [-3
/2, -3/2], [-1284239/1048576, -642119/524288]]]], [[11, 10, 6, 3, 3], [2^(1/2)
< v, u = -(v^2-2)^(1/2), x = 0, And(-3 < y,y < 0), And(-(-y)^(1/2) < z,z < (-y
)^(1/2))], [regular_chain, [[3, 3], [-5548543/2097152, -2774271/1048576], [0,
0], [-3/2, -3/2], [0, 0]]]], [[11, 10, 6, 3, 4], [2^(1/2) < v, u = -(v^2-2)^(1
/2), x = 0, And(-3 < y,y < 0), z = (-y)^(1/2)], [regular_chain, [[3, 3], [-\
5548543/2097152, -2774271/1048576], [0, 0], [-3/2, -3/2], [642119/524288, 
1284239/1048576]]]], [[11, 10, 6, 3, 5], [2^(1/2) < v, u = -(v^2-2)^(1/2), x =
0, And(-3 < y,y < 0), (-y)^(1/2) < z], [regular_chain, [[3, 3], [-5548543/
2097152, -2774271/1048576], [0, 0], [-3/2, -3/2], [3, 3]]]], [[11, 16, 3, 3, 1
], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), z < -(-x-y)^(1
/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [-2, -2]]]]
, [[11, 16, 3, 3, 2], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(-1-x < y,y <
0), z = -(-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/4,
-1/4], [-1816187/2097152, -3632373/4194304]]]], [[11, 16, 3, 3, 3], [2^(1/2) <
v, u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-
x-y)^(1/2))], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [-1
/8388608, -1/8388608]]]], [[11, 16, 3, 3, 4], [2^(1/2) < v, u = v, And(-1 < x,
x < 0), And(-1-x < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[3, 3], [3, 3
], [-1/2, -1/2], [-1/4, -1/4], [908093/1048576, 454047/524288]]]], [[11, 16, 3
, 3, 5], [2^(1/2) < v, u = v, And(-1 < x,x < 0), And(-1-x < y,y < 0), (-x-y)^(
1/2) < z], [regular_chain, [[3, 3], [3, 3], [-1/2, -1/2], [-1/4, -1/4], [2, 2]
]]], [[11, 17, 10, 5, 1], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, 
And(u^2-v^2-2 < y,y < -1), z < -(-y-1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304], [
-2, -2]]]], [[11, 17, 10, 5, 2], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x
= 1, And(u^2-v^2-2 < y,y < -1), z = -(-y-1)^(1/2)], [regular_chain, [[3, 3], [
403851/131072, 403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304], [
-527729/1048576, -1055457/2097152]]]], [[11, 17, 10, 5, 3], [2^(1/2) < v, And(
v < u,u < (v^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), And(-(-y-1)^(1/2)
< z,z < (-y-1)^(1/2))], [regular_chain, [[3, 3], [403851/131072, 403851/131072
], [1, 1], [-5256689/4194304, -5256689/4194304], [-1/4194304, -1/4194304]]]],
[[11, 17, 10, 5, 4], [2^(1/2) < v, And(v < u,u < (v^2+1)^(1/2)), x = 1, And(u^
2-v^2-2 < y,y < -1), z = (-y-1)^(1/2)], [regular_chain, [[3, 3], [403851/
131072, 403851/131072], [1, 1], [-5256689/4194304, -5256689/4194304], [32983/
65536, 527729/1048576]]]], [[11, 17, 10, 5, 5], [2^(1/2) < v, And(v < u,u < (v
^2+1)^(1/2)), x = 1, And(u^2-v^2-2 < y,y < -1), (-y-1)^(1/2) < z], [
regular_chain, [[3, 3], [403851/131072, 403851/131072], [1, 1], [-5256689/
4194304, -5256689/4194304], [2, 2]]]], [[1, 2, 3, 4, 1], [v < -2^(1/2), u = -(
v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z < -(-x)^(1/2)], [regular_chain, [[-\
3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [0, 0], [-3, -3]]]], [[
1, 2, 3, 4, 2], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0,
z = -(-x)^(1/2)], [regular_chain, [[-3, -3], [-1738867/524288, -3477733/
1048576], [-2, -2], [0, 0], [-1482911/1048576, -741455/524288]]]], [[1, 2, 3,
4, 3], [v < -2^(1/2), u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, And(-(-x)
^(1/2) < z,z < (-x)^(1/2))], [regular_chain, [[-3, -3], [-1738867/524288, -\
3477733/1048576], [-2, -2], [0, 0], [0, 0]]]], [[1, 2, 3, 4, 4], [v < -2^(1/2)
, u = -(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, z = (-x)^(1/2)], [
regular_chain, [[-3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [0, 0
], [741455/524288, 1482911/1048576]]]], [[1, 2, 3, 4, 5], [v < -2^(1/2), u = -
(v^2+2)^(1/2), And(-3 < x,x < -1), y = 0, (-x)^(1/2) < z], [regular_chain, [[-\
3, -3], [-1738867/524288, -3477733/1048576], [-2, -2], [0, 0], [3, 3]]]], [[1,
3, 7, 9, 1], [v < -2^(1/2), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), And(0
< x,x < u^2-v^2-1), u^2-v^2-x-1 < y, z = z], [regular_chain, [[-3, -3], [-\
3396811/1048576, -3396811/1048576], [129511/524288, 129511/524288], [2, 2], [0
, 0]]]], [[1, 8, 3, 5, 1], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -\
1), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-\
2965821/1048576, -11863283/4194304], [-3/2, -3/2], [3/4, 3/4], [-2, -2]]]], [[
1, 8, 3, 5, 2], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 <
y,y < -x), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [-2965821/1048576, -\
11863283/4194304], [-3/2, -3/2], [3/4, 3/4], [-1816187/2097152, -3632373/
4194304]]]], [[1, 8, 3, 5, 3], [v < -2^(1/2), u = -(v^2-1)^(1/2), And(-2 < x,x
< -1), And(0 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[3/4, 3/4], [-1/8388608, -1/8388608]]]], [[1, 8, 3, 5, 4], [v < -2^(1/2), u =
-(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3/2],
[3/4, 3/4], [908093/1048576, 454047/524288]]]], [[1, 8, 3, 5, 5], [v < -2^(1/2
), u = -(v^2-1)^(1/2), And(-2 < x,x < -1), And(0 < y,y < -x), (-x-y)^(1/2) < z
], [regular_chain, [[-3, -3], [-2965821/1048576, -11863283/4194304], [-3/2, -3
/2], [3/4, 3/4], [2, 2]]]], [[1, 9, 9, 6, 1], [v < -2^(1/2), And(-(v^2-1)^(1/2
) < u,u < -(v^2-2)^(1/2)), And(-u^2+v^2-1 < x,x < 1), y = -u^2+v^2-x-1, z = z]
, [regular_chain, [[-3, -3], [-22960369/8388608, -22960369/8388608], [395403/
524288, 395403/524288], [-257771/1048576, -128885/524288], [0, 0]]]], [[1, 15,
5, 5, 1], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^
2-1), And(0 < y,y < -u^2+v^2-x-1), z < -(-x-y)^(1/2)], [regular_chain, [[-3, -\
3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
133001/1048576, 133001/1048576], [-2, -2]]]], [[1, 15, 5, 5, 2], [v < -2^(1/2)
, And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y < -u^
2+v^2-x-1), z = -(-x-y)^(1/2)], [regular_chain, [[-3, -3], [6111549/2097152, 
6111549/2097152], [-391287/524288, -391287/524288], [133001/1048576, 133001/
1048576], [-103163/131072, -3301215/4194304]]]], [[1, 15, 5, 5, 3], [v < -2^(1
/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), And(0 < y,y <
-u^2+v^2-x-1), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-3,
-3], [6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [
133001/1048576, 133001/1048576], [-3/8388608, -3/8388608]]]], [[1, 15, 5, 5, 4
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), 
And(0 < y,y < -u^2+v^2-x-1), z = (-x-y)^(1/2)], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [133001/
1048576, 133001/1048576], [825303/1048576, 103163/131072]]]], [[1, 15, 5, 5, 5
], [v < -2^(1/2), And((v^2-1)^(1/2) < u,u < -v), And(-1 < x,x < -u^2+v^2-1), 
And(0 < y,y < -u^2+v^2-x-1), (-x-y)^(1/2) < z], [regular_chain, [[-3, -3], [
6111549/2097152, 6111549/2097152], [-391287/524288, -391287/524288], [133001/
1048576, 133001/1048576], [2, 2]]]], [[1, 17, 2, 6, 1], [v < -2^(1/2), And(-v
< u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z < 0], [regular_chain,
[[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -1565959/1048576],
[1565959/1048576, 195745/131072], [-1, -1]]]], [[1, 17, 2, 6, 2], [v < -2^(1/2
), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+1, z = 0], [
regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745/131072, -\
1565959/1048576], [1565959/1048576, 195745/131072], [0, 0]]]], [[1, 17, 2, 6,
3], [v < -2^(1/2), And(-v < u,u < (v^2+1)^(1/2)), x = -u^2+v^2-1, y = u^2-v^2+
1, 0 < z], [regular_chain, [[-3, -3], [403851/131072, 403851/131072], [-195745
/131072, -1565959/1048576], [1565959/1048576, 195745/131072], [1, 1]]]], [[1,
21, 5, 2, 1], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+v^
2-x-1, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2
], [-33/2, -33/2], [-6, -6]]]], [[1, 21, 5, 2, 2], [v < -2^(1/2), (v^2+2)^(1/2
) < u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-33/2, -33/2], [-2161695/
524288, -4323389/1048576]]]], [[1, 21, 5, 2, 3], [v < -2^(1/2), (v^2+2)^(1/2)
< u, And(-1 < x,x < 0), y = -u^2+v^2-x-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-
v^2+1)^(1/2))], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/2], [-33/2, -33/2
], [0, 0]]]], [[1, 21, 5, 2, 4], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,
x < 0), y = -u^2+v^2-x-1, z = (u^2-v^2+1)^(1/2)], [regular_chain, [[-3, -3], [
5, 5], [-1/2, -1/2], [-33/2, -33/2], [4323389/1048576, 2161695/524288]]]], [[1
, 21, 5, 2, 5], [v < -2^(1/2), (v^2+2)^(1/2) < u, And(-1 < x,x < 0), y = -u^2+
v^2-x-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[-3, -3], [5, 5], [-1/2, -1/
2], [-33/2, -33/2], [6, 6]]]], [[2, 1, 7, 7, 1], [v = -2^(1/2), u < -2, And(0
< x,x < 1), And(0 < y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/1048576
, -741455/524288], [-3, -3], [1/2, 1/2], [11/4, 11/4], [0, 0]]]], [[2, 10, 5,
3, 1], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(-x-3 < y,y < 0), z < -(-x-
y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2,
-1/2], [-5/4, -5/4], [-3, -3]]]], [[2, 10, 5, 3, 2], [v = -2^(1/2), u = 0, And
(-1 < x,x < 0), And(-x-3 < y,y < 0), z = -(-x-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-5/4, -5/4], [-10837/
8192, -1387135/1048576]]]], [[2, 10, 5, 3, 3], [v = -2^(1/2), u = 0, And(-1 <
x,x < 0), And(-x-3 < y,y < 0), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [0, 0], [-1/2, -1/2], [-5/
4, -5/4], [0, 0]]]], [[2, 10, 5, 3, 4], [v = -2^(1/2), u = 0, And(-1 < x,x < 0
), And(-x-3 < y,y < 0), z = (-x-y)^(1/2)], [regular_chain, [[-1482911/1048576,
-741455/524288], [0, 0], [-1/2, -1/2], [-5/4, -5/4], [1387135/1048576, 10837/
8192]]]], [[2, 10, 5, 3, 5], [v = -2^(1/2), u = 0, And(-1 < x,x < 0), And(-x-3
< y,y < 0), (-x-y)^(1/2) < z], [regular_chain, [[-1482911/1048576, -741455/
524288], [0, 0], [-1/2, -1/2], [-5/4, -5/4], [3, 3]]]], [[2, 11, 10, 1, 1], [v
= -2^(1/2), And(0 < u,u < 1), x = 1, y < u^2-4, z < -(-y-1)^(1/2)], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [-5, -\
5], [-3, -3]]]], [[2, 11, 10, 1, 2], [v = -2^(1/2), And(0 < u,u < 1), x = 1, y
< u^2-4, z = -(-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/
524288], [1/2, 1/2], [1, 1], [-5, -5], [-2, -2]]]], [[2, 11, 10, 1, 3], [v = -
2^(1/2), And(0 < u,u < 1), x = 1, y < u^2-4, And(-(-y-1)^(1/2) < z,z < (-y-1)^
(1/2))], [regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1,
1], [-5, -5], [0, 0]]]], [[2, 11, 10, 1, 4], [v = -2^(1/2), And(0 < u,u < 1),
x = 1, y < u^2-4, z = (-y-1)^(1/2)], [regular_chain, [[-1482911/1048576, -\
741455/524288], [1/2, 1/2], [1, 1], [-5, -5], [2, 2]]]], [[2, 11, 10, 1, 5], [
v = -2^(1/2), And(0 < u,u < 1), x = 1, y < u^2-4, (-y-1)^(1/2) < z], [
regular_chain, [[-1482911/1048576, -741455/524288], [1/2, 1/2], [1, 1], [-5, -\
5], [3, 3]]]], [[2, 16, 6, 1, 1], [v = -2^(1/2), u = 3^(1/2), x = 0, y < -2, z
< -(-y)^(1/2)], [regular_chain, [[-1482911/1048576, -741455/524288], [908093/
524288, 1816187/1048576], [0, 0], [-3, -3], [-3, -3]]]], [[2, 16, 6, 1, 2], [v
= -2^(1/2), u = 3^(1/2), x = 0, y < -2, z = -(-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [0, 0], [-\
3, -3], [-1816187/1048576, -3632373/2097152]]]], [[2, 16, 6, 1, 3], [v = -2^(1
/2), u = 3^(1/2), x = 0, y < -2, And(-(-y)^(1/2) < z,z < (-y)^(1/2))], [
regular_chain, [[-1482911/1048576, -741455/524288], [908093/524288, 1816187/
1048576], [0, 0], [-3, -3], [-1/4194304, -1/4194304]]]], [[2, 16, 6, 1, 4], [v
= -2^(1/2), u = 3^(1/2), x = 0, y < -2, z = (-y)^(1/2)], [regular_chain, [[-\
1482911/1048576, -741455/524288], [908093/524288, 1816187/1048576], [0, 0], [-\
3, -3], [908093/524288, 1816187/1048576]]]], [[2, 16, 6, 1, 5], [v = -2^(1/2),
u = 3^(1/2), x = 0, y < -2, (-y)^(1/2) < z], [regular_chain, [[-1482911/
1048576, -741455/524288], [908093/524288, 1816187/1048576], [0, 0], [-3, -3],
[3, 3]]]], [[2, 17, 11, 5, 1], [v = -2^(1/2), And(3^(1/2) < u,u < 2), 1 < x, 
And(-x < y,y < u^2-x-3), z = z], [regular_chain, [[-1482911/1048576, -741455/
524288], [3913339/2097152, 3913339/2097152], [2, 2], [-3688837/2097152, -\
3688837/2097152], [0, 0]]]], [[3, 4, 4, 3, 1], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z < -(1-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1
, -1], [-1/2, -1/2], [-3, -3]]]], [[3, 4, 4, 3, 2], [And(-2^(1/2) < v,v < -1),
u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/262144, -\
3287319/2097152], [-1, -1], [-1/2, -1/2], [-1284239/1048576, -642119/524288]]]
], [[3, 4, 4, 3, 3], [And(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, 
And(-1 < y,y < 0), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1, -\
1], [-1/2, -1/2], [0, 0]]]], [[3, 4, 4, 3, 4], [And(-2^(1/2) < v,v < -1), u =
-(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), z = (1-y)^(1/2)], [regular_chain, [
[-1265743/1048576, -1265743/1048576], [-410915/262144, -3287319/2097152], [-1,
-1], [-1/2, -1/2], [642119/524288, 1284239/1048576]]]], [[3, 4, 4, 3, 5], [And
(-2^(1/2) < v,v < -1), u = -(v^2+1)^(1/2), x = -1, And(-1 < y,y < 0), (1-y)^(1
/2) < z], [regular_chain, [[-1265743/1048576, -1265743/1048576], [-410915/
262144, -3287319/2097152], [-1, -1], [-1/2, -1/2], [3, 3]]]], [[3, 5, 10, 2, 1
], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v
^2-2, z < -(u^2-v^2+1)^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/
1048576], [-5818805/4194304, -5818805/4194304], [1, 1], [-2587389/1048576, -\
646847/262144], [-3, -3]]]], [[3, 5, 10, 2, 2], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = -(u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2587389/1048576, -646847/262144], [-1270261/
1048576, -317565/262144]]]], [[3, 5, 10, 2, 3], [And(-2^(1/2) < v,v < -1), And
(-(v^2+1)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, And(-(u^2-v^2+1)^(1/2) < z,
z < (u^2-v^2+1)^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576]
, [-5818805/4194304, -5818805/4194304], [1, 1], [-2587389/1048576, -646847/
262144], [0, 0]]]], [[3, 5, 10, 2, 4], [And(-2^(1/2) < v,v < -1), And(-(v^2+1)
^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, z = (u^2-v^2+1)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2587389/1048576, -646847/262144], [317565/262144,
1270261/1048576]]]], [[3, 5, 10, 2, 5], [And(-2^(1/2) < v,v < -1), And(-(v^2+1
)^(1/2) < u,u < v), x = 1, y = -u^2+v^2-2, (u^2-v^2+1)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [-5818805/4194304, -\
5818805/4194304], [1, 1], [-2587389/1048576, -646847/262144], [3, 3]]]], [[3,
10, 6, 2, 1], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y = -2, z <
-2^(1/2)], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/
524288, 708939/1048576], [0, 0], [-2, -2], [-3, -3]]]], [[3, 10, 6, 2, 2], [
And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y = -2, z = -2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-2, -2], [-1482911/1048576, -741455/524288]]]], [[3, 10, 6,
2, 3], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y = -2, And(-2^(1/
2) < z,z < 2^(1/2))], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
354469/524288, 708939/1048576], [0, 0], [-2, -2], [0, 0]]]], [[3, 10, 6, 2, 4]
, [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y = -2, z = 2^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 708939/
1048576], [0, 0], [-2, -2], [741455/524288, 1482911/1048576]]]], [[3, 10, 6, 2
, 5], [And(-2^(1/2) < v,v < -1), u = (v^2-1)^(1/2), x = 0, y = -2, 2^(1/2) < z
], [regular_chain, [[-1265743/1048576, -1265743/1048576], [354469/524288, 
708939/1048576], [0, 0], [-2, -2], [3, 3]]]], [[3, 11, 11, 6, 1], [And(-2^(1/2
) < v,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -x, z < 0], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/
1048576], [2, 2], [-2, -2], [-1, -1]]]], [[3, 11, 11, 6, 2], [And(-2^(1/2) < v
,v < -1), And((v^2-1)^(1/2) < u,u < -v), 1 < x, y = -x, z = 0], [regular_chain
, [[-1265743/1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2,
2], [-2, -2], [0, 0]]]], [[3, 11, 11, 6, 3], [And(-2^(1/2) < v,v < -1), And((v
^2-1)^(1/2) < u,u < -v), 1 < x, y = -x, 0 < z], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [987341/1048576, 987341/1048576], [2, 2], [-2, -2]
, [1, 1]]]], [[3, 15, 4, 1, 1], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z < -(1-y)^(1/2)], [regular_chain,
[[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1
], [-3, -3], [-3, -3]]]], [[3, 15, 4, 1, 2], [And(-2^(1/2) < v,v < -1), And((v
^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, z = -(1-y)^(1/2)], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-3, -3], [-2, -2]]]], [[3, 15, 4, 1, 3], [And(-2^(1/2) < v
,v < -1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, And(
-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [regular_chain, [[-1265743/1048576, -\
1265743/1048576], [898327/524288, 898327/524288], [-1, -1], [-3, -3], [0, 0]]]
], [[3, 15, 4, 1, 4], [And(-2^(1/2) < v,v < -1), And((v^2+1)^(1/2) < u,u < (v^
2+2)^(1/2)), x = -1, y < -u^2+v^2, z = (1-y)^(1/2)], [regular_chain, [[-\
1265743/1048576, -1265743/1048576], [898327/524288, 898327/524288], [-1, -1],
[-3, -3], [2, 2]]]], [[3, 15, 4, 1, 5], [And(-2^(1/2) < v,v < -1), And((v^2+1)
^(1/2) < u,u < (v^2+2)^(1/2)), x = -1, y < -u^2+v^2, (1-y)^(1/2) < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [898327/524288, 898327/
524288], [-1, -1], [-3, -3], [3, 3]]]], [[3, 16, 6, 4, 1], [And(-2^(1/2) < v,v
< -1), u = (v^2+2)^(1/2), x = 0, y = 0, z < 0], [regular_chain, [[-1265743/
1048576, -1265743/1048576], [121853/65536, 1949649/1048576], [0, 0], [0, 0], [
-1, -1]]]], [[3, 16, 6, 4, 2], [And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x
= 0, y = 0, z = 0], [regular_chain, [[-1265743/1048576, -1265743/1048576], [
121853/65536, 1949649/1048576], [0, 0], [0, 0], [0, 0]]]], [[3, 16, 6, 4, 3],
[And(-2^(1/2) < v,v < -1), u = (v^2+2)^(1/2), x = 0, y = 0, 0 < z], [
regular_chain, [[-1265743/1048576, -1265743/1048576], [121853/65536, 1949649/
1048576], [0, 0], [0, 0], [1, 1]]]], [[4, 3, 7, 4, 1], [v = -1, And(-3^(1/2) <
u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -x, z < 0], [regular_chain, [[-1, -\
1], [-6598195/4194304, -6598195/4194304], [248903/1048576, 248903/1048576], [-\
248903/1048576, -248903/1048576], [-1, -1]]]], [[4, 3, 7, 4, 2], [v = -1, And(
-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y = -x, z = 0], [
regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304], [248903/
1048576, 248903/1048576], [-248903/1048576, -248903/1048576], [0, 0]]]], [[4,
3, 7, 4, 3], [v = -1, And(-3^(1/2) < u,u < -2^(1/2)), And(0 < x,x < u^2-2), y
= -x, 0 < z], [regular_chain, [[-1, -1], [-6598195/4194304, -6598195/4194304],
[248903/1048576, 248903/1048576], [-248903/1048576, -248903/1048576], [1, 1]]]
], [[4, 5, 2, 7, 1], [v = -1, And(-2^(1/2) < u,u < -1), x = -u^2, u^2 < y, z =
z], [regular_chain, [[-1, -1], [-1265743/1048576, -1265743/1048576], [-1527887
/1048576, -763943/524288], [3, 3], [0, 0]]]], [[4, 11, 5, 7, 1], [v = -1, And(
1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), z < -(-x-y
)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [1/2, 1/2], [-2, -2]]]], [[4, 11, 5, 7, 2]
, [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y <
-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/
1048576], [-3235683/4194304, -3235683/4194304], [1/2, 1/2], [-1092629/2097152,
-273157/524288]]]], [[4, 11, 5, 7, 3], [v = -1, And(1 < u,u < 2^(1/2)), And(-1
< x,x < u^2-2), And(u^2-x-2 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2
))], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-3235683/
4194304, -3235683/4194304], [1/2, 1/2], [0, 0]]]], [[4, 11, 5, 7, 4], [v = -1,
And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2), And(u^2-x-2 < y,y < -x), z = (-
x-y)^(1/2)], [regular_chain, [[-1, -1], [1265743/1048576, 1265743/1048576], [-\
3235683/4194304, -3235683/4194304], [1/2, 1/2], [273157/524288, 546315/1048576
]]]], [[4, 11, 5, 7, 5], [v = -1, And(1 < u,u < 2^(1/2)), And(-1 < x,x < u^2-2
), And(u^2-x-2 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1], [
1265743/1048576, 1265743/1048576], [-3235683/4194304, -3235683/4194304], [1/2,
1/2], [2, 2]]]], [[4, 13, 1, 3, 1], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x <
-u^2, And(0 < y,y < -u^2-x), z < -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-4, -4], [799673/1048576, 799673/1048576],
[-3, -3]]]], [[4, 13, 1, 3, 2], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^
2, And(0 < y,y < -u^2-x), z = -(-x-y)^(1/2)], [regular_chain, [[-1, -1], [
3299097/2097152, 3299097/2097152], [-4, -4], [799673/1048576, 799673/1048576],
[-3773343/2097152, -7546685/4194304]]]], [[4, 13, 1, 3, 3], [v = -1, And(2^(1/
2) < u,u < 3^(1/2)), x < -u^2, And(0 < y,y < -u^2-x), And(-(-x-y)^(1/2) < z,z
< (-x-y)^(1/2))], [regular_chain, [[-1, -1], [3299097/2097152, 3299097/2097152
], [-4, -4], [799673/1048576, 799673/1048576], [-1/8388608, -1/8388608]]]], [[
4, 13, 1, 3, 4], [v = -1, And(2^(1/2) < u,u < 3^(1/2)), x < -u^2, And(0 < y,y
< -u^2-x), z = (-x-y)^(1/2)], [regular_chain, [[-1, -1], [3299097/2097152, 
3299097/2097152], [-4, -4], [799673/1048576, 799673/1048576], [1886671/1048576
, 117917/65536]]]], [[4, 13, 1, 3, 5], [v = -1, And(2^(1/2) < u,u < 3^(1/2)),
x < -u^2, And(0 < y,y < -u^2-x), (-x-y)^(1/2) < z], [regular_chain, [[-1, -1],
[3299097/2097152, 3299097/2097152], [-4, -4], [799673/1048576, 799673/1048576]
, [3, 3]]]], [[5, 1, 11, 1, 1], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^
2-1 < x, y < -u^2+v^2-x-1, z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2],
[-3, -3], [9, 9], [-20, -20], [-5, -5]]]], [[5, 1, 11, 1, 2], [And(-1 < v,v <
0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [
regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-20, -20], [-1738867/524288,
-3477733/1048576]]]], [[5, 1, 11, 1, 3], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2
), u^2-v^2-1 < x, y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))],
[regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-20, -20], [0, 0]]]], [[5, 1
, 11, 1, 4], [And(-1 < v,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v
^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-\
20, -20], [3477733/1048576, 1738867/524288]]]], [[5, 1, 11, 1, 5], [And(-1 < v
,v < 0), u < -(v^2+2)^(1/2), u^2-v^2-1 < x, y < -u^2+v^2-x-1, (-x-y)^(1/2) < z
], [regular_chain, [[-1/2, -1/2], [-3, -3], [9, 9], [-20, -20], [5, 5]]]], [[5
, 3, 4, 6, 1], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)),
x = -1, y = 1, z < 0], [regular_chain, [[-1/2, -1/2], [-343151/262144, -343151
/262144], [-1, -1], [1, 1], [-1, -1]]]], [[5, 3, 4, 6, 2], [And(-1 < v,v < 0),
And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2)), x = -1, y = 1, z = 0], [
regular_chain, [[-1/2, -1/2], [-343151/262144, -343151/262144], [-1, -1], [1,
1], [0, 0]]]], [[5, 3, 4, 6, 3], [And(-1 < v,v < 0), And(-(v^2+2)^(1/2) < u,u
< -(v^2+1)^(1/2)), x = -1, y = 1, 0 < z], [regular_chain, [[-1/2, -1/2], [-\
343151/262144, -343151/262144], [-1, -1], [1, 1], [1, 1]]]], [[5, 12, 5, 5, 1]
, [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x),
z < -(-x-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [
1/4, 1/4], [-2, -2]]]], [[5, 12, 5, 5, 2], [And(-1 < v,v < 0), u = (v^2+2)^(1/
2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [regular_chain,
[[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[5, 12,
5, 5, 3], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,
y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[-1/2, -1/
2], [3/2, 3/2], [-1/2, -1/2], [1/4, 1/4], [0, 0]]]], [[5, 12, 5, 5, 4], [And(-\
1 < v,v < 0), u = (v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x
-y)^(1/2)], [regular_chain, [[-1/2, -1/2], [3/2, 3/2], [-1/2, -1/2], [1/4, 1/4
], [1/2, 1/2]]]], [[5, 12, 5, 5, 5], [And(-1 < v,v < 0), u = (v^2+2)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), (-x-y)^(1/2) < z], [regular_chain, [[-1/
2, -1/2], [3/2, 3/2], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[5, 13, 10, 1, 1],
[And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z < -(
-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-\
19, -19], [-5, -5]]]], [[5, 13, 10, 1, 2], [And(-1 < v,v < 0), (v^2+2)^(1/2) <
u, x = u^2-v^2-1, y < -2*u^2+2*v^2, z = -(-u^2+v^2-y+1)^(1/2)], [regular_chain
, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-19, -19], [-3517031/1048576, -1758515
/524288]]]], [[5, 13, 10, 1, 3], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^
2-v^2-1, y < -2*u^2+2*v^2, And(-(-u^2+v^2-y+1)^(1/2) < z,z < (-u^2+v^2-y+1)^(1
/2))], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4, 31/4], [-19, -19], [0, 0]
]]], [[5, 13, 10, 1, 4], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1,
y < -2*u^2+2*v^2, z = (-u^2+v^2-y+1)^(1/2)], [regular_chain, [[-1/2, -1/2], [3
, 3], [31/4, 31/4], [-19, -19], [1758515/524288, 3517031/1048576]]]], [[5, 13,
10, 1, 5], [And(-1 < v,v < 0), (v^2+2)^(1/2) < u, x = u^2-v^2-1, y < -2*u^2+2*
v^2, (-u^2+v^2-y+1)^(1/2) < z], [regular_chain, [[-1/2, -1/2], [3, 3], [31/4,
31/4], [-19, -19], [5, 5]]]], [[6, 5, 1, 8, 1], [v = 0, And(-1 < u,u < 0), x <
-u^2-1, y = -x, z < 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [3, 3
], [-1, -1]]]], [[6, 5, 1, 8, 2], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = -
x, z = 0], [regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [3, 3], [0, 0]]]],
[[6, 5, 1, 8, 3], [v = 0, And(-1 < u,u < 0), x < -u^2-1, y = -x, 0 < z], [
regular_chain, [[0, 0], [-1/2, -1/2], [-3, -3], [3, 3], [1, 1]]]], [[6, 6, 5,
5, 1], [v = 0, u = 0, And(0 < x,x < 1), And(-x < y,y < 0), z = z], [
regular_chain, [[0, 0], [0, 0], [1/2, 1/2], [-1/4, -1/4], [0, 0]]]], [[7, 1, 3
, 8, 1], [And(0 < v,v < 1), u < -(v^2+2)^(1/2), And(-u^2+v^2-1 < x,x < -1), y
= u^2-v^2-x-1, z = z], [regular_chain, [[1/2, 1/2], [-3, -3], [-43/8, -43/8],
[105/8, 105/8], [0, 0]]]], [[7, 2, 6, 2, 1], [And(0 < v,v < 1), u = -(v^2+2)^(
1/2), x = 0, y = -3, z < -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2],
[0, 0], [-3, -3], [-3, -3]]]], [[7, 2, 6, 2, 2], [And(0 < v,v < 1), u = -(v^2+
2)^(1/2), x = 0, y = -3, z = -3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3
/2], [0, 0], [-3, -3], [-1816187/1048576, -3632373/2097152]]]], [[7, 2, 6, 2,
3], [And(0 < v,v < 1), u = -(v^2+2)^(1/2), x = 0, y = -3, And(-3^(1/2) < z,z <
3^(1/2))], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0, 0], [-3, -3], [-1/
4194304, -1/4194304]]]], [[7, 2, 6, 2, 4], [And(0 < v,v < 1), u = -(v^2+2)^(1/
2), x = 0, y = -3, z = 3^(1/2)], [regular_chain, [[1/2, 1/2], [-3/2, -3/2], [0
, 0], [-3, -3], [908093/524288, 1816187/1048576]]]], [[7, 2, 6, 2, 5], [And(0
< v,v < 1), u = -(v^2+2)^(1/2), x = 0, y = -3, 3^(1/2) < z], [regular_chain, [
[1/2, 1/2], [-3/2, -3/2], [0, 0], [-3, -3], [3, 3]]]], [[7, 7, 3, 7, 1], [And(
0 < v,v < 1), And(-v < u,u < v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 <
y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/
8], [3/4, 3/4], [-2, -2]]]], [[7, 7, 3, 7, 2], [And(0 < v,v < 1), And(-v < u,u
< v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = -(-x-y)^(1/
2)], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/4, 3/4], [-1284239/
2097152, -642119/1048576]]]], [[7, 7, 3, 7, 3], [And(0 < v,v < 1), And(-v < u,
u < v), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), And(-(-x-y)^(
1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8]
, [3/4, 3/4], [0, 0]]]], [[7, 7, 3, 7, 4], [And(0 < v,v < 1), And(-v < u,u < v
), And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), z = (-x-y)^(1/2)],
[regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/4, 3/4], [642119/1048576
, 80265/131072]]]], [[7, 7, 3, 7, 5], [And(0 < v,v < 1), And(-v < u,u < v), 
And(u^2-v^2-1 < x,x < -1), And(-u^2+v^2-x-1 < y,y < -x), (-x-y)^(1/2) < z], [
regular_chain, [[1/2, 1/2], [0, 0], [-9/8, -9/8], [3/4, 3/4], [2, 2]]]], [[7,
8, 7, 6, 1], [And(0 < v,v < 1), u = v, 1 < x, y = 0, z = z], [regular_chain, [
[1/2, 1/2], [1/2, 1/2], [2, 2], [0, 0], [0, 0]]]], [[7, 11, 9, 9, 1], [And(0 <
v,v < 1), And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), And(u^2-v^2-1 < x,x < 1),
0 < y, z = z], [regular_chain, [[1/2, 1/2], [343151/262144, 343151/262144], [
1534619/2097152, 1534619/2097152], [1, 1], [0, 0]]]], [[7, 13, 3, 1, 1], [And(
0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1,
z < -(-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-6,
-6], [-5, -5]]]], [[7, 13, 3, 1, 2], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And
(-u^2+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, z = -(-x-y)^(1/2)], [regular_chain,
[[1/2, 1/2], [3, 3], [-43/8, -43/8], [-6, -6], [-884129/262144, -3536515/
1048576]]]], [[7, 13, 3, 1, 3], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2
+v^2-1 < x,x < -1), y < -u^2+v^2-x-1, And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))]
, [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/8], [-6, -6], [0, 0]]]], [[
7, 13, 3, 1, 4], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x <
-1), y < -u^2+v^2-x-1, z = (-x-y)^(1/2)], [regular_chain, [[1/2, 1/2], [3, 3],
[-43/8, -43/8], [-6, -6], [3536515/1048576, 884129/262144]]]], [[7, 13, 3, 1,
5], [And(0 < v,v < 1), (v^2+2)^(1/2) < u, And(-u^2+v^2-1 < x,x < -1), y < -u^2
+v^2-x-1, (-x-y)^(1/2) < z], [regular_chain, [[1/2, 1/2], [3, 3], [-43/8, -43/
8], [-6, -6], [5, 5]]]], [[8, 4, 2, 1, 1], [v = 1, u = -2^(1/2), x = -2, y < 0
, z < -(2-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/1048576, -741455/
524288], [-2, -2], [-1, -1], [-3, -3]]]], [[8, 4, 2, 1, 2], [v = 1, u = -2^(1/
2), x = -2, y < 0, z = -(2-y)^(1/2)], [regular_chain, [[1, 1], [-1482911/
1048576, -741455/524288], [-2, -2], [-1, -1], [-1816187/1048576, -3632373/
2097152]]]], [[8, 4, 2, 1, 3], [v = 1, u = -2^(1/2), x = -2, y < 0, And(-(2-y)
^(1/2) < z,z < (2-y)^(1/2))], [regular_chain, [[1, 1], [-1482911/1048576, -\
741455/524288], [-2, -2], [-1, -1], [-1/4194304, -1/4194304]]]], [[8, 4, 2, 1,
4], [v = 1, u = -2^(1/2), x = -2, y < 0, z = (2-y)^(1/2)], [regular_chain, [[1
, 1], [-1482911/1048576, -741455/524288], [-2, -2], [-1, -1], [908093/524288,
1816187/1048576]]]], [[8, 4, 2, 1, 5], [v = 1, u = -2^(1/2), x = -2, y < 0, (2
-y)^(1/2) < z], [regular_chain, [[1, 1], [-1482911/1048576, -741455/524288], [
-2, -2], [-1, -1], [3, 3]]]], [[8, 5, 7, 9, 1], [v = 1, And(-2^(1/2) < u,u < -\
1), And(u^2-2 < x,x < 0), -x < y, z = z], [regular_chain, [[1, 1], [-1265743/
1048576, -1265743/1048576], [-569265/2097152, -569265/2097152], [2, 2], [0, 0]
]]], [[8, 11, 11, 6, 1], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y = -x, z < 0]
, [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2], [-2, -2
], [-1, -1]]]], [[8, 11, 11, 6, 2], [v = 1, And(1 < u,u < 2^(1/2)), 1 < x, y =
-x, z = 0], [regular_chain, [[1, 1], [1265743/1048576, 1265743/1048576], [2, 2
], [-2, -2], [0, 0]]]], [[8, 11, 11, 6, 3], [v = 1, And(1 < u,u < 2^(1/2)), 1
< x, y = -x, 0 < z], [regular_chain, [[1, 1], [1265743/1048576, 1265743/
1048576], [2, 2], [-2, -2], [1, 1]]]], [[8, 13, 6, 5, 1], [v = 1, And(2^(1/2)
< u,u < 3^(1/2)), x = 0, And(0 < y,y < u^2-2), z = z], [regular_chain, [[1, 1]
, [3299097/2097152, 3299097/2097152], [0, 0], [497805/2097152, 497805/2097152]
, [0, 0]]]], [[9, 2, 5, 5, 1], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), 
And(-1 < x,x < 0), And(0 < y,y < -x), z < -(-x-y)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2
, -1/2], [1/4, 1/4], [-2, -2]]]], [[9, 2, 5, 5, 2], [And(1 < v,v < 2^(1/2)), u
= -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [1/4, 1/4], [-1/2, -1/2]]]], [[9, 2, 5, 5, 3],
[And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y <
-x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [regular_chain, [[1265743/
1048576, 1265743/1048576], [-3899297/2097152, -7798593/4194304], [-1/2, -1/2],
[1/4, 1/4], [0, 0]]]], [[9, 2, 5, 5, 4], [And(1 < v,v < 2^(1/2)), u = -(v^2+2)
^(1/2), And(-1 < x,x < 0), And(0 < y,y < -x), z = (-x-y)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [-3899297/2097152, -\
7798593/4194304], [-1/2, -1/2], [1/4, 1/4], [1/2, 1/2]]]], [[9, 2, 5, 5, 5], [
And(1 < v,v < 2^(1/2)), u = -(v^2+2)^(1/2), And(-1 < x,x < 0), And(0 < y,y < -
x), (-x-y)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [-\
3899297/2097152, -7798593/4194304], [-1/2, -1/2], [1/4, 1/4], [2, 2]]]], [[9,
3, 9, 8, 1], [And(1 < v,v < 2^(1/2)), And(-(v^2+2)^(1/2) < u,u < -(v^2+1)^(1/2
)), And(u^2-v^2-1 < x,x < 1), y = 0, z = z], [regular_chain, [[1265743/1048576
, 1265743/1048576], [-14373233/8388608, -14373233/8388608], [775271/1048576, 
775271/1048576], [0, 0], [0, 0]]]], [[9, 13, 4, 4, 1], [And(1 < v,v < 2^(1/2))
, And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, z < -1], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1
], [0, 0], [-2, -2]]]], [[9, 13, 4, 4, 2], [And(1 < v,v < 2^(1/2)), And(v < u,
u < (v^2+1)^(1/2)), x = -1, y = 0, z = -1], [regular_chain, [[1265743/1048576,
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [0, 0], [-1, -\
1]]]], [[9, 13, 4, 4, 3], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)
), x = -1, y = 0, And(-1 < z,z < 1)], [regular_chain, [[1265743/1048576, 
1265743/1048576], [1454701/1048576, 1454701/1048576], [-1, -1], [0, 0], [0, 0]
]]], [[9, 13, 4, 4, 4], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)),
x = -1, y = 0, z = 1], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1454701/1048576, 1454701/1048576], [-1, -1], [0, 0], [1, 1]]]], [[9, 13, 4, 4,
5], [And(1 < v,v < 2^(1/2)), And(v < u,u < (v^2+1)^(1/2)), x = -1, y = 0, 1 <
z], [regular_chain, [[1265743/1048576, 1265743/1048576], [1454701/1048576, 
1454701/1048576], [-1, -1], [0, 0], [2, 2]]]], [[9, 14, 8, 1, 1], [And(1 < v,v
< 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y < -3, z < -(-y-1)^(1/2)], [
regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/
262144], [1, 1], [-4, -4], [-3, -3]]]], [[9, 14, 8, 1, 2], [And(1 < v,v < 2^(1
/2)), u = (v^2+1)^(1/2), x = 1, y < -3, z = -(-y-1)^(1/2)], [regular_chain, [[
1265743/1048576, 1265743/1048576], [1643659/1048576, 410915/262144], [1, 1], [
-4, -4], [-1816187/1048576, -3632373/2097152]]]], [[9, 14, 8, 1, 3], [And(1 <
v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y < -3, And(-(-y-1)^(1/2) < z,z < (-
y-1)^(1/2))], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [1, 1], [-4, -4], [-1/4194304, -1/4194304]]]], [[9, 
14, 8, 1, 4], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y < -3, z = (
-y-1)^(1/2)], [regular_chain, [[1265743/1048576, 1265743/1048576], [1643659/
1048576, 410915/262144], [1, 1], [-4, -4], [908093/524288, 1816187/1048576]]]]
, [[9, 14, 8, 1, 5], [And(1 < v,v < 2^(1/2)), u = (v^2+1)^(1/2), x = 1, y < -3
, (-y-1)^(1/2) < z], [regular_chain, [[1265743/1048576, 1265743/1048576], [
1643659/1048576, 410915/262144], [1, 1], [-4, -4], [3, 3]]]], [[10, 1, 9, 3, 1
], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z < -
(-x-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7
/2, 7/2], [-15/2, -15/2], [-3, -3]]]], [[10, 1, 9, 3, 2], [v = 2^(1/2), u < -2
, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,y < -x), z = -(-x-y)^(1/2)], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-15/2
, -15/2], [-2, -2]]]], [[10, 1, 9, 3, 3], [v = 2^(1/2), u < -2, And(1 < x,x <
u^2-3), And(-u^2-x+1 < y,y < -x), And(-(-x-y)^(1/2) < z,z < (-x-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-15/2
, -15/2], [0, 0]]]], [[10, 1, 9, 3, 4], [v = 2^(1/2), u < -2, And(1 < x,x < u^
2-3), And(-u^2-x+1 < y,y < -x), z = (-x-y)^(1/2)], [regular_chain, [[741455/
524288, 1482911/1048576], [-3, -3], [7/2, 7/2], [-15/2, -15/2], [2, 2]]]], [[
10, 1, 9, 3, 5], [v = 2^(1/2), u < -2, And(1 < x,x < u^2-3), And(-u^2-x+1 < y,
y < -x), (-x-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576],
[-3, -3], [7/2, 7/2], [-15/2, -15/2], [3, 3]]]], [[10, 3, 2, 4, 1], [v = 2^(1/
2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y = u^2-1, z < 0], [regular_chain, [
[741455/524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-\
650655/262144, -2602619/1048576], [2602619/1048576, 650655/262144], [-1, -1]]]
], [[10, 3, 2, 4, 2], [v = 2^(1/2), And(-2 < u,u < -3^(1/2)), x = -u^2+1, y =
u^2-1, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [-3913339/
2097152, -3913339/2097152], [-650655/262144, -2602619/1048576], [2602619/
1048576, 650655/262144], [0, 0]]]], [[10, 3, 2, 4, 3], [v = 2^(1/2), And(-2 <
u,u < -3^(1/2)), x = -u^2+1, y = u^2-1, 0 < z], [regular_chain, [[741455/
524288, 1482911/1048576], [-3913339/2097152, -3913339/2097152], [-650655/
262144, -2602619/1048576], [2602619/1048576, 650655/262144], [1, 1]]]], [[10,
9, 4, 5, 1], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < 1), z < -(
1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2],
[-1, -1], [1/2, 1/2], [-2, -2]]]], [[10, 9, 4, 5, 2], [v = 2^(1/2), And(-1 < u
,u < 0), x = -1, And(0 < y,y < 1), z = -(1-y)^(1/2)], [regular_chain, [[741455
/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [-1482911/
2097152, -741455/1048576]]]], [[10, 9, 4, 5, 3], [v = 2^(1/2), And(-1 < u,u <
0), x = -1, And(0 < y,y < 1), And(-(1-y)^(1/2) < z,z < (1-y)^(1/2))], [
regular_chain, [[741455/524288, 1482911/1048576], [-1/2, -1/2], [-1, -1], [1/2
, 1/2], [0, 0]]]], [[10, 9, 4, 5, 4], [v = 2^(1/2), And(-1 < u,u < 0), x = -1,
And(0 < y,y < 1), z = (1-y)^(1/2)], [regular_chain, [[741455/524288, 1482911/
1048576], [-1/2, -1/2], [-1, -1], [1/2, 1/2], [741455/1048576, 46341/65536]]]]
, [[10, 9, 4, 5, 5], [v = 2^(1/2), And(-1 < u,u < 0), x = -1, And(0 < y,y < 1)
, (1-y)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [-1/2,
-1/2], [-1, -1], [1/2, 1/2], [2, 2]]]], [[10, 10, 6, 4, 1], [v = 2^(1/2), u =
0, x = 0, y = 0, z < 0], [regular_chain, [[741455/524288, 1482911/1048576], [0
, 0], [0, 0], [0, 0], [-1, -1]]]], [[10, 10, 6, 4, 2], [v = 2^(1/2), u = 0, x
= 0, y = 0, z = 0], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0],
[0, 0], [0, 0], [0, 0]]]], [[10, 10, 6, 4, 3], [v = 2^(1/2), u = 0, x = 0, y =
0, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576], [0, 0], [0, 0],
[0, 0], [1, 1]]]], [[10, 15, 4, 2, 1], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x
= -1, y = -u^2+2, z < -(u^2-1)^(1/2)], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [-248903/
524288, -497805/1048576], [-3, -3]]]], [[10, 15, 4, 2, 2], [v = 2^(1/2), And(v
< u,u < 3^(1/2)), x = -1, y = -u^2+2, z = -(u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1],
[-248903/524288, -497805/1048576], [-1273381/1048576, -318345/262144]]]], [[10
, 15, 4, 2, 3], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = -u^2+2, And(
-(u^2-1)^(1/2) < z,z < (u^2-1)^(1/2))], [regular_chain, [[741455/524288, 
1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1], [-248903/
524288, -497805/1048576], [0, 0]]]], [[10, 15, 4, 2, 4], [v = 2^(1/2), And(v <
u,u < 3^(1/2)), x = -1, y = -u^2+2, z = (u^2-1)^(1/2)], [regular_chain, [[
741455/524288, 1482911/1048576], [3299097/2097152, 3299097/2097152], [-1, -1],
[-248903/524288, -497805/1048576], [318345/262144, 1273381/1048576]]]], [[10,
15, 4, 2, 5], [v = 2^(1/2), And(v < u,u < 3^(1/2)), x = -1, y = -u^2+2, (u^2-1
)^(1/2) < z], [regular_chain, [[741455/524288, 1482911/1048576], [3299097/
2097152, 3299097/2097152], [-1, -1], [-248903/524288, -497805/1048576], [3, 3]
]]], [[10, 16, 7, 6, 1], [v = 2^(1/2), u = 3^(1/2), And(0 < x,x < 1), y = 0, z
= z], [regular_chain, [[741455/524288, 1482911/1048576], [908093/524288, 
1816187/1048576], [1/2, 1/2], [0, 0], [0, 0]]]], [[10, 19, 6, 4, 1], [v = 2^(1
/2), 2 < u, x = 0, y = 0, z < 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [0, 0], [0, 0], [-1, -1]]]], [[10, 19, 6, 4, 2], [v = 2^(1/2
), 2 < u, x = 0, y = 0, z = 0], [regular_chain, [[741455/524288, 1482911/
1048576], [3, 3], [0, 0], [0, 0], [0, 0]]]], [[10, 19, 6, 4, 3], [v = 2^(1/2),
2 < u, x = 0, y = 0, 0 < z], [regular_chain, [[741455/524288, 1482911/1048576]
, [3, 3], [0, 0], [0, 0], [1, 1]]]], [[11, 1, 8, 5, 1], [2^(1/2) < v, u < -(v^
2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3], [-5, -5
], [1, 1], [-1/2, -1/2], [0, 0]]]], [[11, 5, 11, 7, 1], [2^(1/2) < v, And(-(v^
2+1)^(1/2) < u,u < -v), 1 < x, And(-x < y,y < 0), z = z], [regular_chain, [[3,
3], [-403851/131072, -403851/131072], [2, 2], [-1, -1], [0, 0]]]], [[11, 7, 8,
4, 1], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, z
< -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [0, 0], [-129143/262144, -516571/1048576], [-2, -2]]]], [[11, 7, 8,
4, 2], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, z
= -(u^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/
2097152], [0, 0], [-129143/262144, -516571/1048576], [-735979/1048576, -\
1471957/2097152]]]], [[11, 7, 8, 4, 3], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^
(1/2)), x = 0, y = -u^2+v^2-1, And(-(u^2-v^2+1)^(1/2) < z,z < (u^2-v^2+1)^(1/2
))], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152], [0, 0], [-\
129143/262144, -516571/1048576], [-1/4194304, -1/4194304]]]], [[11, 7, 8, 4, 4
], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y = -u^2+v^2-1, z = (u
^2-v^2+1)^(1/2)], [regular_chain, [[3, 3], [-6111549/2097152, -6111549/2097152
], [0, 0], [-129143/262144, -516571/1048576], [367989/524288, 735979/1048576]]
]], [[11, 7, 8, 4, 5], [2^(1/2) < v, And(-v < u,u < -(v^2-1)^(1/2)), x = 0, y
= -u^2+v^2-1, (u^2-v^2+1)^(1/2) < z], [regular_chain, [[3, 3], [-6111549/
2097152, -6111549/2097152], [0, 0], [-129143/262144, -516571/1048576], [2, 2]]
]], [[11, 13, 4, 7, 1], [2^(1/2) < v, And((v^2-2)^(1/2) < u,u < (v^2-1)^(1/2))
, x = -1, And(1 < y,y < -u^2+v^2), z = z], [regular_chain, [[3, 3], [1435023/
524288, 1435023/524288], [-1, -1], [657547/524288, 657547/524288], [0, 0]]]],
[[11, 14, 8, 4, 1], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, y = -1, z < 0], [
regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-1, -1], [-\
1, -1]]]], [[11, 14, 8, 4, 2], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1, y = -1,
z = 0], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1, 1], [-1
, -1], [0, 0]]]], [[11, 14, 8, 4, 3], [2^(1/2) < v, u = (v^2-1)^(1/2), x = 1,
y = -1, 0 < z], [regular_chain, [[3, 3], [741455/262144, 2965821/1048576], [1,
1], [-1, -1], [1, 1]]]], [[11, 19, 6, 4, 1], [2^(1/2) < v, And((v^2+1)^(1/2) <
u,u < (v^2+2)^(1/2)), x = 0, y = 0, z < 0], [regular_chain, [[3, 3], [3396811/
1048576, 3396811/1048576], [0, 0], [0, 0], [-1, -1]]]], [[11, 19, 6, 4, 2], [2
^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(1/2)), x = 0, y = 0, z = 0], [
regular_chain, [[3, 3], [3396811/1048576, 3396811/1048576], [0, 0], [0, 0], [0
, 0]]]], [[11, 19, 6, 4, 3], [2^(1/2) < v, And((v^2+1)^(1/2) < u,u < (v^2+2)^(
1/2)), x = 0, y = 0, 0 < z], [regular_chain, [[3, 3], [3396811/1048576, 
3396811/1048576], [0, 0], [0, 0], [1, 1]]]], [[11, 20, 8, 5, 1], [2^(1/2) < v,
u = (v^2+2)^(1/2), x = 1, And(-1 < y,y < 0), z = z], [regular_chain, [[3, 3],
[3477733/1048576, 1738867/524288], [1, 1], [-1/2, -1/2], [0, 0]]]]];
